path: "vendor/opentheory/data/theories/montgomery-hardware-thm/montgomery-hardware-thm.art"
6 version nil "P" "->" typeOp 0 def "Hardware.wire" typeOp nil opType 1 def "bool" typeOp nil opType 2 def nil cons 3 def cons opType 4 def var 5 def "ld" 1 ref var 6 def "Data.Bool.!" const 7 def 0 ref 0 ref "Hardware.bus" typeOp nil opType 8 def 3 ref cons opType 9 def 3 ref cons opType 10 def constTerm 11 def "xs" 8 ref var 12 def 11 ref "xc" 8 ref var 13 def 7 ref 0 ref 0 ref "Number.Natural.natural" typeOp nil opType 14 def 3 ref cons opType 15 def 3 ref cons opType 16 def constTerm 17 def "d0" 14 ref var 18 def 11 ref "ys" 8 ref var 19 def 11 ref "yc" 8 ref var 20 def 17 ref "d1" 14 ref var 21 def 11 ref "ks" 8 ref var 22 def 11 ref "kc" 8 ref var 23 def 17 ref "d2" 14 ref var 24 def 11 ref "ns" 8 ref var 25 def 11 ref "nc" 8 ref var 26 def 11 ref "jb" 8 ref var 27 def 17 ref "d3" 14 ref var 28 def 17 ref "d4" 14 ref var 29 def 11 ref "rx" 8 ref var 30 def 11 ref "ry" 8 ref var 31 def 11 ref "rz" 8 ref var 32 def 7 ref 0 ref 4 ref 3 ref cons opType 33 def constTerm 34 def "dn" 1 ref var 35 def 11 ref "zs" 8 ref var 36 def 11 ref "zc" 8 ref var 37 def 17 ref "t" 14 ref var 38 def "Data.Bool.==>" const 0 ref 2 ref 0 ref 2 ref 3 ref cons opType 39 def nil cons cons opType 40 def constTerm 41 def "Data.Bool./\\" const 40 ref constTerm 42 def "Hardware.signal" const 0 ref 1 ref 15 ref nil cons 43 def cons opType constTerm 44 def 6 ref varTerm 45 def appTerm 46 def 38 ref varTerm 47 def appTerm 48 def appTerm 49 def "Hardware.Montgomery.multiply" const 0 ref 1 ref 0 ref 8 ref 0 ref 8 ref 0 ref 14 ref 0 ref 8 ref 0 ref 8 ref 0 ref 14 ref 0 ref 8 ref 0 ref 8 ref 0 ref 14 ref 0 ref 8 ref 0 ref 8 ref 0 ref 8 ref 0 ref 14 ref 0 ref 14 ref 0 ref 8 ref 0 ref 8 ref 0 ref 8 ref 0 ref 1 ref 0 ref 8 ref 9 ref nil cons 50 def cons opType 51 def nil cons 52 def cons opType nil cons cons opType nil cons cons opType nil cons 53 def cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons 54 def cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType constTerm 55 def 45 ref appTerm 12 ref varTerm 56 def appTerm 13 ref varTerm 57 def appTerm 18 ref varTerm 58 def appTerm 19 ref varTerm 59 def appTerm 20 ref varTerm 60 def appTerm 21 ref varTerm 61 def appTerm 22 ref varTerm 62 def appTerm 23 ref varTerm 63 def appTerm 24 ref varTerm 64 def appTerm 25 ref varTerm 65 def appTerm 26 ref varTerm 66 def appTerm 27 ref varTerm 67 def appTerm 28 ref varTerm 68 def appTerm 29 ref varTerm 69 def appTerm 30 ref varTerm 70 def appTerm 31 ref varTerm 71 def appTerm 32 ref varTerm 72 def appTerm 35 ref varTerm 73 def appTerm 36 ref varTerm 74 def appTerm 37 ref varTerm 75 def appTerm 76 def appTerm appTerm "Data.Bool.~" const 39 ref constTerm 77 def 44 ref 73 ref appTerm 78 def 47 ref appTerm 79 def appTerm 80 def appTerm 81 def absTerm 82 def appTerm 83 def absTerm 84 def appTerm 85 def absTerm 86 def appTerm 87 def absTerm 88 def appTerm 89 def absTerm 90 def appTerm 91 def absTerm 92 def appTerm 93 def absTerm 94 def appTerm 95 def absTerm 96 def appTerm 97 def absTerm 98 def appTerm 99 def absTerm 100 def appTerm 101 def absTerm 102 def appTerm 103 def absTerm 104 def appTerm 105 def absTerm 106 def appTerm 107 def absTerm 108 def appTerm 109 def absTerm 110 def appTerm 111 def absTerm 112 def appTerm 113 def absTerm 114 def appTerm 115 def absTerm 116 def appTerm 117 def absTerm 118 def appTerm 119 def absTerm 120 def appTerm 121 def absTerm 122 def appTerm 123 def absTerm 124 def nil cons cons 125 def nil cons nil cons cons "A" 1 ref nil cons cons nil cons 126 def nil nil cons 127 def cons "=" const 128 def 40 ref constTerm 129 def 7 ref 0 ref 0 ref "A" varType 130 def 3 ref cons opType 131 def 3 ref cons opType 132 def constTerm 133 def "P" 131 ref var 134 def varTerm 135 def appTerm 136 def appTerm refl "p" 131 ref var 137 def 128 ref 0 ref 131 ref 132 ref nil cons cons opType constTerm 137 ref varTerm 138 def appTerm "x" 130 ref var 139 def "Data.Bool.T" const 2 ref constTerm 140 def absTerm 141 def appTerm absTerm 142 def 135 ref appTerm betaConv 143 def appThm nil 128 ref 0 ref 132 ref 0 ref 132 ref 3 ref cons opType 144 def nil cons cons opType constTerm 145 def 133 ref appTerm 142 remove appTerm axiom 135 ref refl 146 def appThm 147 def eqMp sym 148 def subst 149 def subst 6 ref nil "t" 2 ref var 150 def 123 remove nil cons cons nil cons nil cons cons 129 ref 150 ref varTerm 151 def appTerm 152 def 140 ref appTerm 153 def assume sym nil 140 ref axiom 154 def eqMp 151 ref assume 154 ref deductAntisym deductAntisym 155 def subst nil "P" 9 remove var 156 def 122 remove nil cons cons nil cons nil cons cons "A" 8 ref nil cons 157 def cons nil cons 158 def 127 ref cons 148 ref subst 159 def subst 12 ref nil 150 ref 121 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 120 remove nil cons cons nil cons nil cons cons 159 ref subst 13 ref nil 150 ref 119 remove nil cons cons nil cons nil cons cons 155 ref subst nil "P" 15 ref var 160 def 118 remove nil cons cons nil cons nil cons cons "A" 14 ref nil cons 161 def cons nil cons 162 def 127 ref cons 163 def 148 ref subst 164 def subst 18 ref nil 150 ref 117 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 116 remove nil cons cons nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 115 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 114 remove nil cons cons nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 113 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 112 remove nil cons cons nil cons nil cons cons 164 ref subst 21 ref nil 150 ref 111 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 110 remove nil cons cons nil cons nil cons cons 159 ref subst 22 ref nil 150 ref 109 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 108 remove nil cons cons nil cons nil cons cons 159 ref subst 23 ref nil 150 ref 107 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 106 remove nil cons cons nil cons nil cons cons 164 ref subst 24 ref nil 150 ref 105 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 104 remove nil cons cons nil cons nil cons cons 159 ref subst 25 ref nil 150 ref 103 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 102 remove nil cons cons nil cons nil cons cons 159 ref subst 26 ref nil 150 ref 101 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 100 remove nil cons cons nil cons nil cons cons 159 ref subst 27 ref nil 150 ref 99 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 98 remove nil cons cons nil cons nil cons cons 164 ref subst 28 ref nil 150 ref 97 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 96 remove nil cons cons nil cons nil cons cons 164 ref subst 29 ref nil 150 ref 95 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 94 remove nil cons cons nil cons nil cons cons 159 ref subst 30 ref nil 150 ref 93 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 92 remove nil cons cons nil cons nil cons cons 159 ref subst 31 ref nil 150 ref 91 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 90 remove nil cons cons nil cons nil cons cons 159 ref subst 32 ref nil 150 ref 89 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5 ref 88 remove nil cons cons nil cons nil cons cons 149 ref subst 35 ref nil 150 ref 87 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 86 remove nil cons cons nil cons nil cons cons 159 ref subst 36 ref nil 150 ref 85 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 84 remove nil cons cons nil cons nil cons cons 159 ref subst 37 ref nil 150 ref 83 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 82 remove nil cons cons nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 81 remove nil cons cons nil cons nil cons cons 155 ref subst 41 ref refl 165 def 49 ref refl 37 ref 129 ref 76 ref appTerm "Data.Bool.?" const 166 def 16 ref constTerm 167 def "r" 14 ref var 168 def 166 ref 33 remove constTerm 169 def "jp" 1 ref var 170 def 169 ref "jpd" 1 ref var 171 def 166 ref 10 remove constTerm 172 def "ps" 8 ref var 173 def 172 ref "pc" 8 ref var 174 def 172 ref "qsp" 8 ref var 175 def 172 ref "qcp" 8 ref var 176 def 172 ref "qsr" 8 ref var 177 def 172 ref "qcr" 8 ref var 178 def 42 ref 128 ref 0 ref 14 ref 43 ref cons opType 179 def constTerm 180 def "Hardware.Bus.width" const 0 ref 8 ref 161 ref cons opType constTerm 181 def 56 ref appTerm 182 def appTerm 183 def "Number.Natural.+" const 0 ref 14 ref 0 ref 14 ref 161 ref cons opType 184 def nil cons 185 def cons opType 186 def constTerm 187 def 168 ref varTerm 188 def appTerm 189 def "Number.Natural.bit1" const 184 ref constTerm 190 def "Number.Natural.zero" const 14 ref constTerm 191 def appTerm 192 def appTerm 193 def appTerm 194 def appTerm 195 def 42 ref 180 ref 181 ref 57 ref appTerm appTerm 196 def 193 ref appTerm 197 def appTerm 198 def 42 ref 180 ref 181 ref 59 ref appTerm appTerm 199 def 193 ref appTerm 200 def appTerm 201 def 42 ref 180 ref 181 ref 60 ref appTerm appTerm 202 def 193 ref appTerm 203 def appTerm 204 def 42 ref 180 ref 181 ref 62 ref appTerm appTerm 205 def 189 ref "Number.Natural.bit0" const 184 ref constTerm 206 def 192 ref appTerm 207 def appTerm 208 def appTerm 209 def appTerm 210 def 42 ref 180 ref 181 ref 63 ref appTerm appTerm 211 def 208 ref appTerm 212 def appTerm 213 def 42 ref 180 ref 181 ref 65 ref appTerm appTerm 214 def 188 ref appTerm 215 def appTerm 216 def 42 ref 180 ref 181 ref 66 ref appTerm appTerm 217 def 188 ref appTerm 218 def appTerm 219 def 42 ref 180 ref 181 ref 70 ref appTerm 220 def appTerm 221 def 193 ref appTerm 222 def appTerm 223 def 42 ref 180 ref 181 ref 71 ref appTerm appTerm 224 def 193 ref appTerm 225 def appTerm 226 def 42 ref 180 ref 181 ref 72 ref appTerm appTerm 227 def 193 ref appTerm 228 def appTerm 229 def 42 ref 180 ref 181 ref 74 ref appTerm appTerm 230 def 193 ref appTerm 231 def appTerm 42 ref 180 ref 181 ref 75 ref appTerm appTerm 232 def 193 ref appTerm 233 def appTerm 42 ref 180 ref 181 ref 173 ref varTerm 234 def appTerm 235 def appTerm 236 def 208 ref appTerm 237 def appTerm 42 ref 180 ref 181 ref 174 ref varTerm 238 def appTerm 239 def appTerm 240 def 208 ref appTerm 241 def appTerm 42 ref 180 ref 181 ref 175 ref varTerm 242 def appTerm appTerm 243 def 208 ref appTerm 244 def appTerm 42 ref 180 ref 181 ref 176 ref varTerm 245 def appTerm appTerm 246 def 208 ref appTerm 247 def appTerm 42 ref 180 ref 181 ref 177 ref varTerm 248 def appTerm appTerm 249 def 208 ref appTerm 250 def appTerm 42 ref 180 ref 181 ref 178 ref varTerm 251 def appTerm appTerm 252 def 208 ref appTerm 253 def appTerm 42 ref "Hardware.Montgomery.multiply.reduce" const 0 ref 1 ref 0 ref 8 ref 0 ref 8 ref 0 ref 14 ref 0 ref 8 ref 0 ref 8 ref 0 ref 14 ref 0 ref 8 ref 0 ref 8 ref 0 ref 14 ref 0 ref 8 ref 0 ref 8 ref 52 remove cons opType nil cons 254 def cons opType nil cons 255 def cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType constTerm 45 ref appTerm 56 ref appTerm 57 ref appTerm 58 ref appTerm 59 ref appTerm 60 ref appTerm 61 ref appTerm 62 ref appTerm 63 ref appTerm 64 ref appTerm 65 ref appTerm 66 ref appTerm 256 def 234 ref appTerm 257 def 238 ref appTerm 258 def appTerm 42 ref "Hardware.counterPulse" const 0 ref 1 ref 0 ref 8 ref 4 remove nil cons 259 def cons opType nil cons cons opType constTerm 45 ref appTerm 260 def 67 ref appTerm 261 def 170 ref varTerm 262 def appTerm 263 def appTerm 42 ref "Hardware.pipe" const 0 ref 1 ref 0 ref 14 ref 259 ref cons opType nil cons 264 def cons opType constTerm 265 def 262 ref appTerm 266 def 68 ref appTerm 267 def 171 ref varTerm 268 def appTerm 269 def appTerm 42 ref "Hardware.Bus.case1" const 0 ref 1 ref 254 remove cons opType constTerm 270 def 268 ref appTerm 271 def 234 ref appTerm 272 def 242 ref appTerm 273 def 248 ref appTerm 274 def appTerm 42 ref 271 ref 238 ref appTerm 275 def 245 ref appTerm 276 def 251 ref appTerm 277 def appTerm 42 ref "Hardware.connect" const 0 ref 1 ref 259 remove cons opType 278 def constTerm 279 def 262 ref appTerm 280 def 73 ref appTerm 281 def appTerm 42 ref "Hardware.Montgomery.multiply.compress" const 0 ref 8 ref 0 ref 8 ref 0 ref 14 ref 0 ref 8 ref 255 remove cons opType 282 def nil cons cons opType nil cons cons opType nil cons cons opType constTerm 283 def 242 ref appTerm 284 def 245 ref appTerm 69 ref appTerm 70 ref appTerm 71 ref appTerm 72 ref appTerm 74 ref appTerm 75 ref appTerm 285 def appTerm 42 ref "Hardware.Bus.delay" const 51 ref constTerm 286 def 248 ref appTerm 287 def 242 ref appTerm 288 def appTerm 286 ref 251 ref appTerm 289 def 245 ref appTerm 290 def appTerm 291 def appTerm 292 def appTerm 293 def appTerm 294 def appTerm 295 def appTerm 296 def appTerm 297 def appTerm 298 def appTerm 299 def appTerm 300 def appTerm 301 def appTerm 302 def appTerm 303 def appTerm 304 def appTerm 305 def appTerm 306 def appTerm 307 def appTerm 308 def appTerm 309 def appTerm 310 def appTerm 311 def appTerm 312 def appTerm 313 def appTerm 314 def appTerm 315 def appTerm 316 def appTerm 317 def absTerm 318 def appTerm 319 def absTerm 320 def appTerm 321 def absTerm 322 def appTerm 323 def absTerm 324 def appTerm 325 def absTerm 326 def appTerm 327 def absTerm 328 def appTerm 329 def absTerm 330 def appTerm 331 def absTerm 332 def appTerm 333 def absTerm 334 def appTerm 335 def appTerm absTerm 336 def 75 ref appTerm 337 def betaConv 36 ref 11 ref 336 ref appTerm 338 def absTerm 339 def 74 ref appTerm 340 def betaConv 35 ref 11 ref 339 ref appTerm 341 def absTerm 342 def 73 ref appTerm 343 def betaConv 32 ref 34 ref 342 ref appTerm 344 def absTerm 345 def 72 ref appTerm 346 def betaConv 31 ref 11 ref 345 ref appTerm 347 def absTerm 348 def 71 ref appTerm 349 def betaConv 30 ref 11 ref 348 ref appTerm 350 def absTerm 351 def 70 ref appTerm 352 def betaConv 29 ref 11 ref 351 ref appTerm 353 def absTerm 354 def 69 ref appTerm 355 def betaConv 28 ref 17 ref 354 ref appTerm 356 def absTerm 357 def 68 ref appTerm 358 def betaConv 27 ref 17 ref 357 ref appTerm 359 def absTerm 360 def 67 ref appTerm 361 def betaConv 26 ref 11 ref 360 ref appTerm 362 def absTerm 363 def 66 ref appTerm 364 def betaConv 25 ref 11 ref 363 ref appTerm 365 def absTerm 366 def 65 ref appTerm 367 def betaConv 24 ref 11 ref 366 ref appTerm 368 def absTerm 369 def 64 ref appTerm 370 def betaConv 23 ref 17 ref 369 ref appTerm 371 def absTerm 372 def 63 ref appTerm 373 def betaConv 22 ref 11 ref 372 ref appTerm 374 def absTerm 375 def 62 ref appTerm 376 def betaConv 21 ref 11 ref 375 ref appTerm 377 def absTerm 378 def 61 ref appTerm 379 def betaConv 20 ref 17 ref 378 ref appTerm 380 def absTerm 381 def 60 ref appTerm 382 def betaConv 19 ref 11 ref 381 ref appTerm 383 def absTerm 384 def 59 ref appTerm 385 def betaConv 18 ref 11 ref 384 ref appTerm 386 def absTerm 387 def 58 ref appTerm 388 def betaConv 13 ref 17 ref 387 ref appTerm 389 def absTerm 390 def 57 ref appTerm 391 def betaConv 12 ref 11 ref 390 ref appTerm 392 def absTerm 393 def 56 ref appTerm 394 def betaConv 6 ref 11 ref 393 ref appTerm 395 def absTerm 396 def 45 ref appTerm 397 def betaConv nil 34 ref 396 ref appTerm 398 def axiom nil "p" 2 ref var 399 def 398 remove nil cons cons "q" 2 ref var 400 def 397 remove nil cons cons nil cons cons nil cons cons 129 ref 41 ref 399 ref varTerm 401 def appTerm 402 def 400 ref varTerm 403 def appTerm 404 def appTerm 405 def refl 399 ref 400 ref 129 ref 42 ref 401 ref appTerm 406 def 403 ref appTerm 407 def appTerm 408 def 401 ref appTerm absTerm 409 def absTerm 410 def 401 ref appTerm betaConv 403 ref refl 411 def appThm 409 remove 403 ref appTerm betaConv trans appThm nil 128 ref 0 ref 40 ref 0 ref 40 ref 3 ref cons opType 412 def nil cons cons opType constTerm 413 def 41 ref appTerm 410 remove appTerm axiom 401 ref refl 414 def appThm 411 ref appThm eqMp 415 def sym 416 def 408 remove refl 400 ref 128 ref 0 ref 412 ref 0 ref 412 remove 3 ref cons opType nil cons cons opType constTerm 417 def "f" 40 ref var 418 def 418 ref varTerm 419 def 401 ref appTerm 403 ref appTerm absTerm 420 def appTerm 418 ref 419 ref 140 ref appTerm 140 ref appTerm absTerm 421 def appTerm absTerm 422 def 403 ref appTerm betaConv appThm 128 ref 0 ref 39 ref 0 ref 39 ref 3 ref cons opType 423 def nil cons cons opType constTerm 424 def 406 ref appTerm refl 399 ref 422 remove absTerm 425 def 401 ref appTerm betaConv appThm nil 413 ref 42 ref appTerm 425 ref appTerm axiom 426 def 414 remove appThm eqMp 411 ref appThm eqMp 427 def sym 418 ref 419 ref refl nil 150 ref 401 ref nil cons 428 def cons nil cons nil cons cons 429 def 155 ref subst 401 ref assume 430 def eqMp appThm nil 150 ref 403 ref nil cons 431 def cons nil cons nil cons cons 432 def 155 ref subst 403 ref assume 433 def eqMp appThm absThm eqMp 434 def nil "P" 2 ref var 435 def 428 ref cons 436 def "Q" 2 ref var 437 def 431 ref cons nil cons 438 def cons nil cons cons 129 ref refl 439 def 418 ref 419 remove 435 ref varTerm 440 def appTerm 441 def 437 ref varTerm 442 def appTerm absTerm 443 def 399 ref 400 ref 401 ref absTerm absTerm 444 def appTerm betaConv 444 ref 440 ref appTerm betaConv 442 ref refl 445 def appThm 400 ref 440 ref absTerm 442 ref appTerm betaConv trans trans appThm 421 ref 444 ref appTerm betaConv 444 ref 140 ref appTerm betaConv 140 ref refl 446 def appThm 400 ref 140 ref absTerm 140 ref appTerm betaConv trans trans appThm 129 ref 42 ref 440 ref appTerm 447 def 442 ref appTerm 448 def appTerm refl 400 ref 417 remove 418 remove 441 remove 403 ref appTerm absTerm appTerm 421 ref appTerm absTerm 442 ref appTerm betaConv appThm 424 ref 447 remove appTerm refl 425 remove 440 ref appTerm betaConv appThm 426 remove 440 ref refl 449 def appThm eqMp 445 ref appThm eqMp 448 remove assume eqMp 450 def 444 remove refl appThm eqMp sym 154 ref eqMp 451 def subst 452 def deductAntisym eqMp 415 remove 404 ref assume 453 def eqMp sym 430 ref eqMp 439 ref 420 remove 399 ref 400 ref 403 ref absTerm 454 def absTerm 455 def appTerm betaConv 455 ref 401 ref appTerm betaConv 411 ref appThm 454 ref 403 ref appTerm betaConv trans trans appThm 421 remove 455 ref appTerm betaConv 455 ref 140 ref appTerm betaConv 446 remove appThm 454 ref 140 ref appTerm betaConv trans trans 456 def appThm 427 remove 407 ref assume eqMp 455 ref refl 457 def appThm eqMp sym 154 ref eqMp 458 def proveHyp deductAntisym 459 def subst proveHyp 126 ref 5 ref 396 remove nil cons cons "x" 1 ref var 460 def 45 ref nil cons cons nil cons 461 def cons nil cons cons nil 399 ref 136 ref nil cons 462 def cons 400 ref 135 ref 139 ref varTerm 463 def appTerm 464 def nil cons 465 def cons nil cons cons nil cons cons 466 def 416 ref subst 466 remove 458 remove 434 remove deductAntisym 467 def subst 129 ref 464 ref appTerm refl 141 remove 463 ref appTerm betaConv appThm 143 remove 147 remove 136 remove assume eqMp eqMp 463 ref refl 468 def appThm eqMp sym 154 ref eqMp eqMp nil 435 ref 462 remove cons 437 ref 465 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp 469 def subst eqMp eqMp nil 399 ref 395 remove nil cons cons 400 ref 394 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 393 remove nil cons cons "x" 8 ref var 470 def 56 ref nil cons cons 471 def nil cons 472 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 392 remove nil cons cons 400 ref 391 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 390 remove nil cons cons 470 ref 57 ref nil cons cons 473 def nil cons 474 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 389 remove nil cons cons 400 ref 388 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 387 remove nil cons cons "x" 14 ref var 475 def 58 ref nil cons 476 def cons nil cons 477 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 386 remove nil cons cons 400 ref 385 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 384 remove nil cons cons 470 ref 59 ref nil cons cons 478 def nil cons 479 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 383 remove nil cons cons 400 ref 382 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 381 remove nil cons cons 470 ref 60 ref nil cons cons 480 def nil cons 481 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 380 remove nil cons cons 400 ref 379 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 378 remove nil cons cons 475 ref 61 ref nil cons 482 def cons nil cons 483 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 377 remove nil cons cons 400 ref 376 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 375 remove nil cons cons 470 ref 62 ref nil cons cons nil cons 484 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 374 remove nil cons cons 400 ref 373 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 372 remove nil cons cons 470 ref 63 ref nil cons cons nil cons 485 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 371 remove nil cons cons 400 ref 370 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 369 remove nil cons cons 475 ref 64 ref nil cons 486 def cons nil cons 487 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 368 remove nil cons cons 400 ref 367 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 366 remove nil cons cons 470 ref 65 ref nil cons cons nil cons 488 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 365 remove nil cons cons 400 ref 364 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 363 remove nil cons cons 470 ref 66 ref nil cons cons nil cons 489 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 362 remove nil cons cons 400 ref 361 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 360 remove nil cons cons 470 ref 67 ref nil cons cons nil cons 490 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 359 remove nil cons cons 400 ref 358 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 357 remove nil cons cons 475 ref 68 ref nil cons 491 def cons nil cons 492 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 356 remove nil cons cons 400 ref 355 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 354 remove nil cons cons 475 ref 69 ref nil cons 493 def cons nil cons 494 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 353 remove nil cons cons 400 ref 352 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 351 remove nil cons cons 470 ref 70 ref nil cons cons nil cons 495 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 350 remove nil cons cons 400 ref 349 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 348 remove nil cons cons 470 ref 71 ref nil cons cons nil cons 496 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 347 remove nil cons cons 400 ref 346 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 345 remove nil cons cons 470 ref 72 ref nil cons cons nil cons 497 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 344 remove nil cons cons 400 ref 343 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 342 remove nil cons cons 460 ref 73 ref nil cons cons nil cons 498 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 341 remove nil cons cons 400 ref 340 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 339 remove nil cons cons 470 ref 74 ref nil cons 499 def cons 500 def nil cons 501 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 338 remove nil cons cons 400 ref 337 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 336 remove nil cons cons 470 ref 75 ref nil cons 502 def cons 503 def nil cons 504 def cons nil cons cons 469 ref subst eqMp eqMp 505 def appThm appThm 80 ref refl 506 def appThm sym nil 399 ref 49 ref 335 ref appTerm nil cons 507 def cons 400 ref 80 ref nil cons 508 def cons nil cons 509 def cons nil cons cons 510 def 416 ref subst 510 remove 467 ref subst nil 435 ref 48 ref nil cons 511 def cons 437 ref 335 ref nil cons 512 def cons nil cons 513 def cons nil cons cons 514 def 451 ref subst 514 remove 439 ref 443 remove 455 ref appTerm betaConv 455 remove 440 ref appTerm betaConv 445 ref appThm 454 remove 442 ref appTerm betaConv trans trans appThm 456 remove appThm 450 remove 457 remove appThm eqMp sym 154 ref eqMp 515 def subst nil 399 ref 512 remove cons 516 def 509 ref cons nil cons cons 459 ref subst nil 160 ref 168 ref 41 ref 334 ref 188 ref appTerm 517 def appTerm 80 ref appTerm 518 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 168 ref nil 150 ref 518 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 517 ref nil cons 519 def cons 509 ref cons nil cons cons 520 def 416 ref subst 520 remove 467 ref subst 517 ref betaConv 517 remove assume eqMp nil 399 ref 333 ref nil cons cons 509 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 170 ref 41 ref 332 ref 262 ref appTerm 521 def appTerm 80 ref appTerm 522 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 170 ref nil 150 ref 522 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 521 ref nil cons 523 def cons 509 ref cons nil cons cons 524 def 416 ref subst 524 remove 467 ref subst 521 ref betaConv 521 remove assume eqMp nil 399 ref 331 ref nil cons cons 509 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 171 ref 41 ref 330 ref 268 ref appTerm 525 def appTerm 80 ref appTerm 526 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 171 ref nil 150 ref 526 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 525 ref nil cons 527 def cons 509 ref cons nil cons cons 528 def 416 ref subst 528 remove 467 ref subst 525 ref betaConv 525 remove assume eqMp nil 399 ref 329 ref nil cons cons 509 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 173 ref 41 ref 328 ref 234 ref appTerm 529 def appTerm 80 ref appTerm 530 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 173 ref nil 150 ref 530 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 529 ref nil cons 531 def cons 509 ref cons nil cons cons 532 def 416 ref subst 532 remove 467 ref subst 529 ref betaConv 529 remove assume eqMp nil 399 ref 327 ref nil cons cons 509 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 174 ref 41 ref 326 ref 238 ref appTerm 533 def appTerm 80 ref appTerm 534 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 174 ref nil 150 ref 534 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 533 ref nil cons 535 def cons 509 ref cons nil cons cons 536 def 416 ref subst 536 remove 467 ref subst 533 ref betaConv 533 remove assume eqMp nil 399 ref 325 ref nil cons cons 509 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 175 ref 41 ref 324 ref 242 ref appTerm 537 def appTerm 80 ref appTerm 538 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 175 ref nil 150 ref 538 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 537 ref nil cons 539 def cons 509 ref cons nil cons cons 540 def 416 ref subst 540 remove 467 ref subst 537 ref betaConv 537 remove assume eqMp nil 399 ref 323 ref nil cons cons 509 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 176 ref 41 ref 322 ref 245 ref appTerm 541 def appTerm 80 ref appTerm 542 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 176 ref nil 150 ref 542 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 541 ref nil cons 543 def cons 509 ref cons nil cons cons 544 def 416 ref subst 544 remove 467 ref subst 541 ref betaConv 541 remove assume eqMp nil 399 ref 321 ref nil cons cons 509 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 177 ref 41 ref 320 ref 248 ref appTerm 545 def appTerm 80 ref appTerm 546 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 177 ref nil 150 ref 546 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 545 ref nil cons 547 def cons 509 ref cons nil cons cons 548 def 416 ref subst 548 remove 467 ref subst 545 ref betaConv 545 remove assume eqMp nil 399 ref 319 ref nil cons cons 509 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 178 ref 41 ref 318 ref 251 ref appTerm 549 def appTerm 80 ref appTerm 550 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 178 ref nil 150 ref 550 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 549 ref nil cons 551 def cons 509 ref cons nil cons cons 552 def 416 ref subst 552 remove 467 ref subst 549 ref betaConv 549 remove assume eqMp nil 399 ref 317 remove nil cons 553 def cons 509 ref cons nil cons cons 554 def 459 ref subst proveHyp 554 ref 416 ref subst 554 remove 467 ref subst nil 435 ref 194 remove nil cons cons 437 ref 316 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 197 remove nil cons cons 437 ref 315 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 200 ref nil cons cons 555 def 437 ref 314 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 203 ref nil cons cons 556 def 437 ref 313 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 209 remove nil cons cons 437 ref 312 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 212 remove nil cons cons 437 ref 311 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 215 remove nil cons cons 437 ref 310 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 218 remove nil cons cons 437 ref 309 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 222 ref nil cons cons 557 def 437 ref 308 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 225 remove nil cons cons 558 def 437 ref 307 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 228 remove nil cons cons 559 def 437 ref 306 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 231 remove nil cons cons 437 ref 305 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 233 remove nil cons cons 437 ref 304 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 237 remove nil cons cons 437 ref 303 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 241 remove nil cons cons 437 ref 302 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 244 remove nil cons cons 437 ref 301 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 247 remove nil cons cons 437 ref 300 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 250 remove nil cons cons 437 ref 299 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 253 remove nil cons cons 437 ref 298 ref nil cons cons nil cons 560 def cons nil cons cons 515 ref subst nil 435 ref 258 ref nil cons 561 def cons 437 ref 297 remove nil cons cons nil cons cons nil cons cons 562 def 515 ref subst 563 def nil 435 ref 263 ref nil cons 564 def cons 437 ref 296 remove nil cons cons nil cons cons nil cons cons 565 def 451 ref subst 566 def 565 remove 515 ref subst 567 def nil 435 ref 269 ref nil cons 568 def cons 437 ref 295 remove nil cons cons nil cons cons nil cons cons 569 def 515 ref subst 570 def nil 435 ref 274 ref nil cons 571 def cons 437 ref 294 remove nil cons cons nil cons cons nil cons cons 572 def 515 ref subst 573 def nil 435 ref 277 ref nil cons 574 def cons 437 ref 293 remove nil cons cons nil cons cons nil cons cons 575 def 515 ref subst 576 def nil 435 ref 281 ref nil cons 577 def cons 437 ref 292 remove nil cons cons nil cons cons nil cons cons 578 def 451 ref subst 579 def "y" 1 ref var 580 def 17 ref 38 ref 41 ref 280 remove 580 ref varTerm 581 def appTerm appTerm 129 ref 44 ref 581 ref appTerm 582 def 47 ref appTerm 583 def appTerm 584 def 44 ref 262 ref appTerm 585 def 47 ref appTerm 586 def appTerm appTerm absTerm appTerm absTerm 587 def 73 ref appTerm 588 def betaConv 460 ref 34 ref 580 ref 17 ref 38 ref 41 ref 279 ref 460 ref varTerm 589 def appTerm 581 ref appTerm appTerm 584 ref 44 ref 589 ref appTerm 590 def 47 ref appTerm 591 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 592 def 262 ref appTerm 593 def betaConv nil 34 ref 592 ref appTerm 594 def axiom 595 def nil 399 ref 594 remove nil cons cons 596 def 400 ref 593 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 592 ref nil cons cons 597 def 460 ref 262 ref nil cons cons nil cons 598 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 587 ref appTerm nil cons cons 400 ref 588 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 587 remove nil cons cons 498 ref cons nil cons cons 469 ref subst eqMp eqMp 599 def nil 399 ref 17 ref 38 ref 41 ref 281 ref appTerm 129 ref 79 remove appTerm 600 def 586 ref appTerm 601 def appTerm absTerm appTerm nil cons cons 602 def 509 ref cons nil cons cons 459 ref subst proveHyp 165 ref 17 ref refl 603 def 38 ref 165 ref nil 150 ref 577 remove cons nil cons nil cons cons 155 ref subst 281 remove assume eqMp appThm 601 ref refl appThm nil 150 ref 601 ref nil cons cons nil cons nil cons cons 150 ref 129 ref 41 ref 140 ref appTerm 604 def 151 ref appTerm appTerm 151 ref appTerm absTerm 605 def 151 ref appTerm 606 def betaConv nil 7 ref 423 ref constTerm 607 def 605 ref appTerm 608 def axiom nil 399 ref 608 remove nil cons cons 400 ref 606 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp "A" 3 ref cons nil cons 609 def "P" 39 remove var 610 def 605 remove nil cons cons "x" 2 ref var 611 def 151 ref nil cons 612 def cons nil cons 613 def cons nil cons cons 469 ref subst eqMp eqMp 614 def subst trans absThm appThm appThm 615 def 506 remove appThm sym nil 399 ref 17 ref 38 ref 601 remove absTerm 616 def appTerm nil cons 617 def cons 618 def 509 remove cons nil cons cons 619 def 416 ref subst 619 remove 467 ref subst 77 ref refl 620 def 616 ref 47 ref appTerm 621 def betaConv nil 618 ref 400 ref 621 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 616 remove nil cons cons 475 ref 47 ref nil cons 622 def cons nil cons 623 def cons nil cons cons 469 ref subst eqMp eqMp 624 def appThm sym 42 ref refl 625 def nil 150 ref 511 remove cons nil cons nil cons cons 155 ref subst 48 ref assume eqMp appThm nil 150 ref 564 remove cons nil cons nil cons cons 155 ref subst 263 ref assume eqMp 626 def appThm nil 150 ref 140 ref nil cons 627 def cons nil cons nil cons cons 628 def 150 ref 129 ref 42 ref 140 ref appTerm 629 def 151 ref appTerm appTerm 151 ref appTerm absTerm 630 def 151 ref appTerm 631 def betaConv nil 607 ref 630 ref appTerm 632 def axiom nil 399 ref 632 remove nil cons cons 400 ref 631 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 630 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 633 def subst 634 def trans sym 154 ref eqMp nil 399 ref 49 ref 263 ref appTerm 635 def nil cons cons 400 ref 77 ref 586 ref appTerm 636 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 38 ref 41 ref 635 remove appTerm 636 ref appTerm absTerm 637 def 47 ref appTerm 638 def betaConv 35 ref 17 ref 38 ref 41 ref 49 ref 261 remove 73 ref appTerm 639 def appTerm appTerm 80 ref appTerm absTerm appTerm absTerm 640 def 262 ref appTerm 641 def betaConv "nb" 8 ref var 642 def 34 ref 35 ref 17 ref 38 ref 41 ref 49 remove 260 remove 642 ref varTerm 643 def appTerm 73 ref appTerm 644 def appTerm appTerm 80 ref appTerm absTerm appTerm absTerm appTerm absTerm 645 def 67 ref appTerm 646 def betaConv 6 ref 11 ref 645 ref appTerm 647 def absTerm 648 def 45 ref appTerm 649 def betaConv nil 34 ref 648 ref appTerm 650 def axiom nil 399 ref 650 remove nil cons cons 400 ref 649 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 648 remove nil cons cons 461 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 647 remove nil cons cons 400 ref 646 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 645 remove nil cons cons 490 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 640 ref appTerm nil cons cons 400 ref 641 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 640 remove nil cons cons 598 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 637 ref appTerm nil cons cons 400 ref 638 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 637 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp eqMp nil 435 ref 617 remove cons 651 def 437 ref 508 remove cons nil cons 652 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 553 remove cons 652 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 551 remove cons 652 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 318 ref 470 ref varTerm 653 def appTerm appTerm 80 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 319 remove appTerm 80 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 318 remove nil cons cons 652 ref cons nil cons cons nil 399 ref 133 ref 139 ref 41 ref 464 ref appTerm 654 def 442 ref appTerm absTerm 655 def appTerm 656 def nil cons 657 def cons 658 def 400 ref 41 ref 166 ref 132 ref constTerm 659 def 135 ref appTerm 660 def appTerm 661 def 442 ref appTerm nil cons 662 def cons nil cons cons nil cons cons 663 def 416 ref subst 663 remove 467 ref subst nil 399 ref 660 ref nil cons 664 def cons 665 def 400 ref 442 ref nil cons 666 def cons nil cons 667 def cons nil cons cons 668 def 416 ref subst 668 remove 467 ref subst nil 658 ref 667 ref cons nil cons cons 669 def 459 ref subst 400 ref 41 ref 133 ref 139 ref 654 remove 403 ref appTerm absTerm appTerm appTerm 403 ref appTerm absTerm 670 def 442 ref appTerm 671 def betaConv nil 665 remove 400 ref 607 ref 670 ref appTerm 672 def nil cons 673 def cons nil cons cons nil cons cons 674 def 459 ref subst 129 ref 660 remove appTerm 675 def refl 137 ref 607 ref 400 ref 41 ref 133 ref 139 ref 41 ref 138 ref 463 ref appTerm 676 def appTerm 403 ref appTerm absTerm appTerm appTerm 403 ref appTerm absTerm appTerm absTerm 677 def 135 ref appTerm betaConv appThm nil 145 remove 659 ref appTerm 677 remove appTerm axiom 146 remove appThm eqMp 678 def nil 399 ref 675 remove 672 ref appTerm nil cons cons 400 ref 661 remove 672 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 674 remove nil 399 ref 129 ref 401 ref appTerm 679 def 403 ref appTerm 680 def nil cons 681 def cons 400 ref 404 ref nil cons 682 def cons nil cons cons nil cons cons 683 def 416 ref subst 683 remove 467 ref subst 416 ref 467 ref 680 remove assume 684 def 430 remove eqMp eqMp 452 remove deductAntisym eqMp 685 def eqMp nil 435 ref 681 remove cons 437 ref 682 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp subst eqMp eqMp nil 399 ref 673 remove cons 400 ref 671 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 670 remove nil cons cons 611 ref 666 ref cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 664 remove cons 437 ref 666 ref cons nil cons 686 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 657 remove cons 687 def 437 ref 662 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp 688 def subst eqMp eqMp eqMp nil 435 ref 547 remove cons 652 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 320 ref 653 ref appTerm appTerm 80 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 321 remove appTerm 80 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 320 remove nil cons cons 652 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 543 remove cons 652 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 322 ref 653 ref appTerm appTerm 80 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 323 remove appTerm 80 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 322 remove nil cons cons 652 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 539 remove cons 652 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 324 ref 653 ref appTerm appTerm 80 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 325 remove appTerm 80 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 324 remove nil cons cons 652 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 535 remove cons 652 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 326 ref 653 ref appTerm appTerm 80 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 327 remove appTerm 80 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 326 remove nil cons cons 652 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 531 remove cons 652 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 328 ref 653 ref appTerm appTerm 80 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 329 remove appTerm 80 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 328 remove nil cons cons 652 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 527 remove cons 652 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 330 ref 589 ref appTerm appTerm 80 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 331 remove appTerm 80 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 330 remove nil cons cons 652 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 523 remove cons 652 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 332 ref 589 ref appTerm appTerm 80 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 333 remove appTerm 80 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 332 remove nil cons cons 652 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 519 remove cons 652 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 334 ref 475 ref varTerm 689 def appTerm appTerm 690 def 80 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 335 ref appTerm 691 def 80 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 334 ref nil cons cons 692 def 652 ref cons nil cons cons 688 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 435 ref 507 remove cons 652 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 693 def nil 34 ref 124 ref appTerm 694 def thm nil 160 ref 168 ref 34 ref 6 ref 11 ref 12 ref 11 ref 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 17 ref "k" 14 ref var 695 def 41 ref 42 ref 183 ref 188 ref appTerm 696 def appTerm 697 def 42 ref "Number.Natural.<=" const 179 ref constTerm 698 def 68 ref appTerm 187 ref 58 ref appTerm 699 def 187 ref 61 ref appTerm 700 def 187 ref 64 ref appTerm 701 def 193 ref appTerm 702 def appTerm 703 def appTerm 704 def appTerm 705 def appTerm 706 def 42 ref 17 ref "i" 14 ref var 707 def 41 ref 698 ref 707 ref varTerm 708 def appTerm 709 def 695 ref varTerm 710 def appTerm 711 def appTerm 712 def 129 ref 46 ref 187 ref 47 ref appTerm 713 def 708 ref appTerm 714 def appTerm 715 def appTerm 716 def 180 ref 708 ref appTerm 717 def 191 ref appTerm 718 def appTerm 719 def appTerm 720 def absTerm 721 def appTerm 722 def appTerm 723 def 42 ref 180 ref 187 ref "Number.Natural.Bits.fromList" const 0 ref "Data.List.list" typeOp 3 ref opType 724 def 161 ref cons opType 725 def constTerm 726 def "Hardware.Bus.signal" const 0 ref 8 ref 0 ref 14 ref 724 ref nil cons 727 def cons opType nil cons cons opType constTerm 728 def 67 ref appTerm 729 def 47 ref appTerm appTerm 730 def appTerm 731 def 699 ref 700 ref 701 ref 189 ref 190 ref 192 ref appTerm 732 def appTerm 733 def appTerm 734 def appTerm 735 def appTerm 736 def appTerm appTerm 187 ref "Number.Natural.^" const 186 ref constTerm 737 def 207 ref appTerm 738 def 181 ref 67 ref appTerm 739 def appTerm 740 def appTerm 741 def 187 ref 739 ref appTerm 68 ref appTerm appTerm 742 def appTerm 743 def appTerm 744 def 76 ref appTerm appTerm appTerm appTerm appTerm 129 ref 78 ref 713 ref 710 ref appTerm 745 def appTerm appTerm 746 def 180 ref 187 ref 68 ref appTerm 747 def 710 ref appTerm appTerm 748 def 699 ref 700 ref 701 ref 208 ref appTerm 749 def appTerm 750 def appTerm 751 def appTerm 752 def appTerm 753 def appTerm 754 def absTerm 755 def appTerm 756 def absTerm 757 def appTerm 758 def absTerm 759 def appTerm 760 def absTerm 761 def appTerm 762 def absTerm 763 def appTerm 764 def absTerm 765 def appTerm 766 def absTerm 767 def appTerm 768 def absTerm 769 def appTerm 770 def absTerm 771 def appTerm 772 def absTerm 773 def appTerm 774 def absTerm 775 def appTerm 776 def absTerm 777 def appTerm 778 def absTerm 779 def appTerm 780 def absTerm 781 def appTerm 782 def absTerm 783 def appTerm 784 def absTerm 785 def appTerm 786 def absTerm 787 def appTerm 788 def absTerm 789 def appTerm 790 def absTerm 791 def appTerm 792 def absTerm 793 def appTerm 794 def absTerm 795 def appTerm 796 def absTerm 797 def appTerm 798 def absTerm 799 def appTerm 800 def absTerm 801 def nil cons cons nil cons nil cons cons 164 ref subst 168 ref nil 150 ref 800 remove nil cons 802 def cons nil cons nil cons cons 155 ref subst nil 5 ref 799 ref nil cons cons 803 def nil cons nil cons cons 149 ref subst 6 ref nil 150 ref 798 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 797 remove nil cons cons nil cons nil cons cons 159 ref subst 12 ref nil 150 ref 796 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 795 remove nil cons cons nil cons nil cons cons 159 ref subst 13 ref nil 150 ref 794 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 793 remove nil cons cons nil cons nil cons cons 164 ref subst 18 ref nil 150 ref 792 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 791 remove nil cons cons nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 790 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 789 remove nil cons cons nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 788 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 787 remove nil cons cons nil cons nil cons cons 164 ref subst 21 ref nil 150 ref 786 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 785 remove nil cons cons nil cons nil cons cons 159 ref subst 22 ref nil 150 ref 784 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 783 remove nil cons cons nil cons nil cons cons 159 ref subst 23 ref nil 150 ref 782 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 781 remove nil cons cons nil cons nil cons cons 164 ref subst 24 ref nil 150 ref 780 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 779 remove nil cons cons nil cons nil cons cons 159 ref subst 25 ref nil 150 ref 778 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 777 remove nil cons cons nil cons nil cons cons 159 ref subst 26 ref nil 150 ref 776 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 775 remove nil cons cons nil cons nil cons cons 159 ref subst 27 ref nil 150 ref 774 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 773 remove nil cons cons nil cons nil cons cons 164 ref subst 28 ref nil 150 ref 772 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 771 remove nil cons cons nil cons nil cons cons 164 ref subst 29 ref nil 150 ref 770 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 769 remove nil cons cons nil cons nil cons cons 159 ref subst 30 ref nil 150 ref 768 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 767 remove nil cons cons nil cons nil cons cons 159 ref subst 31 ref nil 150 ref 766 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 765 remove nil cons cons nil cons nil cons cons 159 ref subst 32 ref nil 150 ref 764 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5 ref 763 remove nil cons cons nil cons nil cons cons 149 ref subst 35 ref nil 150 ref 762 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 761 remove nil cons cons nil cons nil cons cons 159 ref subst 36 ref nil 150 ref 760 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 759 remove nil cons cons nil cons nil cons cons 159 ref subst 37 ref nil 150 ref 758 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 757 remove nil cons cons nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 756 remove nil cons 804 def cons nil cons nil cons cons 155 ref subst nil 160 ref 755 remove nil cons cons nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 754 remove nil cons cons nil cons nil cons cons 155 ref subst 165 ref 697 ref refl 805 def 706 ref refl 806 def 723 ref refl 807 def 744 ref refl 505 ref appThm appThm appThm appThm appThm 753 ref refl 808 def appThm sym nil 399 ref 697 ref 706 ref 723 ref 744 ref 335 remove appTerm 809 def appTerm 810 def appTerm 811 def appTerm nil cons 812 def cons 400 ref 753 ref nil cons 813 def cons nil cons 814 def cons nil cons cons 815 def 416 ref subst 815 remove 467 ref subst nil 435 ref 696 ref nil cons 816 def cons 817 def 437 ref 811 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 705 ref nil cons 818 def cons 819 def 437 ref 810 remove nil cons cons nil cons cons nil cons cons 820 def 451 ref subst 820 remove 515 ref subst nil 435 ref 722 ref nil cons 821 def cons 437 ref 809 remove nil cons cons nil cons cons nil cons cons 822 def 451 ref subst 822 remove 515 ref subst nil 435 ref 743 ref nil cons cons 823 def 513 remove cons nil cons cons 824 def 451 ref subst 824 remove 515 ref subst nil 516 ref 814 ref cons nil cons cons 459 ref subst nil 160 ref "r'" 14 ref var 825 def 41 ref 334 ref 825 ref varTerm 826 def appTerm 827 def appTerm 828 def 753 ref appTerm 829 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 825 ref nil 150 ref 829 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 827 ref nil cons 830 def cons 831 def 814 ref cons nil cons cons 832 def 416 ref subst 832 remove 467 ref subst 827 ref betaConv 827 remove assume eqMp 833 def nil 399 ref 169 ref 170 ref 169 ref 171 ref 172 ref 173 ref 172 ref 174 ref 172 ref 175 ref 172 ref 176 ref 172 ref 177 ref 172 ref 178 ref 42 ref 183 ref 187 ref 826 ref appTerm 834 def 192 ref appTerm 835 def appTerm 836 def appTerm 837 def 42 ref 196 ref 835 ref appTerm 838 def appTerm 839 def 42 ref 199 ref 835 ref appTerm 840 def appTerm 841 def 42 ref 202 ref 835 ref appTerm 842 def appTerm 843 def 42 ref 205 ref 834 remove 207 ref appTerm 844 def appTerm 845 def appTerm 846 def 42 ref 211 ref 844 ref appTerm 847 def appTerm 848 def 42 ref 214 ref 826 ref appTerm 849 def appTerm 850 def 42 ref 217 ref 826 ref appTerm 851 def appTerm 852 def 42 ref 221 ref 835 ref appTerm 853 def appTerm 854 def 42 ref 224 remove 835 ref appTerm 855 def appTerm 856 def 42 ref 227 remove 835 ref appTerm 857 def appTerm 858 def 42 ref 230 ref 835 ref appTerm 859 def appTerm 42 ref 232 ref 835 ref appTerm 860 def appTerm 42 ref 236 ref 844 ref appTerm 861 def appTerm 42 ref 240 ref 844 ref appTerm 862 def appTerm 42 ref 243 remove 844 ref appTerm 863 def appTerm 42 ref 246 remove 844 ref appTerm 864 def appTerm 42 ref 249 remove 844 ref appTerm 865 def appTerm 42 ref 252 remove 844 ref appTerm 866 def appTerm 298 remove appTerm 867 def appTerm 868 def appTerm 869 def appTerm 870 def appTerm 871 def appTerm 872 def appTerm 873 def appTerm 874 def appTerm 875 def appTerm 876 def appTerm 877 def appTerm 878 def appTerm 879 def appTerm 880 def appTerm 881 def appTerm 882 def appTerm 883 def appTerm 884 def appTerm 885 def absTerm 886 def appTerm 887 def absTerm 888 def appTerm 889 def absTerm 890 def appTerm 891 def absTerm 892 def appTerm 893 def absTerm 894 def appTerm 895 def absTerm 896 def appTerm 897 def absTerm 898 def appTerm 899 def absTerm 900 def appTerm 901 def nil cons cons 902 def 814 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 170 ref 41 ref 900 ref 262 ref appTerm 903 def appTerm 904 def 753 ref appTerm 905 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 170 ref nil 150 ref 905 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 903 ref nil cons 906 def cons 907 def 814 ref cons nil cons cons 908 def 416 ref subst 908 remove 467 ref subst 903 ref betaConv 903 remove assume eqMp 909 def nil 399 ref 899 ref nil cons cons 910 def 814 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 171 ref 41 ref 898 ref 268 ref appTerm 911 def appTerm 912 def 753 ref appTerm 913 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 171 ref nil 150 ref 913 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 911 ref nil cons 914 def cons 915 def 814 ref cons nil cons cons 916 def 416 ref subst 916 remove 467 ref subst 911 ref betaConv 911 remove assume eqMp 917 def nil 399 ref 897 ref nil cons cons 918 def 814 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 173 ref 41 ref 896 ref 234 ref appTerm 919 def appTerm 920 def 753 ref appTerm 921 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 173 ref nil 150 ref 921 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 919 ref nil cons 922 def cons 923 def 814 ref cons nil cons cons 924 def 416 ref subst 924 remove 467 ref subst 919 ref betaConv 919 remove assume eqMp 925 def nil 399 ref 895 ref nil cons cons 926 def 814 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 174 ref 41 ref 894 ref 238 ref appTerm 927 def appTerm 928 def 753 ref appTerm 929 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 174 ref nil 150 ref 929 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 927 ref nil cons 930 def cons 931 def 814 ref cons nil cons cons 932 def 416 ref subst 932 remove 467 ref subst 927 ref betaConv 927 remove assume eqMp 933 def nil 399 ref 893 ref nil cons cons 934 def 814 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 175 ref 41 ref 892 ref 242 ref appTerm 935 def appTerm 936 def 753 ref appTerm 937 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 175 ref nil 150 ref 937 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 935 ref nil cons 938 def cons 939 def 814 ref cons nil cons cons 940 def 416 ref subst 940 remove 467 ref subst 935 ref betaConv 935 remove assume eqMp 941 def nil 399 ref 891 ref nil cons cons 942 def 814 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 176 ref 41 ref 890 ref 245 ref appTerm 943 def appTerm 944 def 753 ref appTerm 945 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 176 ref nil 150 ref 945 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 943 ref nil cons 946 def cons 947 def 814 ref cons nil cons cons 948 def 416 ref subst 948 remove 467 ref subst 943 ref betaConv 943 remove assume eqMp 949 def nil 399 ref 889 ref nil cons cons 950 def 814 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 177 ref 41 ref 888 ref 248 ref appTerm 951 def appTerm 952 def 753 ref appTerm 953 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 177 ref nil 150 ref 953 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 951 ref nil cons 954 def cons 955 def 814 ref cons nil cons cons 956 def 416 ref subst 956 remove 467 ref subst 951 ref betaConv 951 remove assume eqMp 957 def nil 399 ref 887 ref nil cons cons 958 def 814 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 178 ref 41 ref 886 ref 251 ref appTerm 959 def appTerm 960 def 753 ref appTerm 961 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 178 ref nil 150 ref 961 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 959 ref nil cons 962 def cons 963 def 814 ref cons nil cons cons 964 def 416 ref subst 964 remove 467 ref subst 959 ref betaConv 959 remove assume eqMp 965 def nil 399 ref 885 remove nil cons 966 def cons 967 def 814 ref cons nil cons cons 968 def 459 ref subst proveHyp 968 ref 416 ref subst 968 remove 467 ref subst nil 435 ref 836 ref nil cons cons 969 def 437 ref 884 remove nil cons cons nil cons cons nil cons cons 970 def 515 ref subst 971 def nil 435 ref 838 remove nil cons cons 972 def 437 ref 883 remove nil cons cons nil cons cons nil cons cons 515 ref subst 973 def nil 435 ref 840 remove nil cons cons 974 def 437 ref 882 remove nil cons cons nil cons cons nil cons cons 515 ref subst 975 def nil 435 ref 842 remove nil cons cons 976 def 437 ref 881 remove nil cons cons nil cons cons nil cons cons 515 ref subst 977 def nil 435 ref 845 remove nil cons cons 978 def 437 ref 880 remove nil cons cons nil cons cons nil cons cons 515 ref subst 979 def nil 435 ref 847 remove nil cons cons 980 def 437 ref 879 remove nil cons cons nil cons cons nil cons cons 515 ref subst 981 def nil 435 ref 849 remove nil cons cons 982 def 437 ref 878 remove nil cons cons nil cons cons nil cons cons 515 ref subst 983 def nil 435 ref 851 remove nil cons cons 984 def 437 ref 877 remove nil cons cons nil cons cons nil cons cons 515 ref subst 985 def nil 435 ref 853 ref nil cons cons 986 def 437 ref 876 remove nil cons cons nil cons cons nil cons cons 987 def 515 ref subst 988 def nil 435 ref 855 remove nil cons cons 989 def 437 ref 875 remove nil cons cons nil cons cons nil cons cons 515 ref subst 990 def nil 435 ref 857 remove nil cons cons 991 def 437 ref 874 remove nil cons cons nil cons cons nil cons cons 515 ref subst 992 def nil 435 ref 859 remove nil cons cons 437 ref 873 remove nil cons cons nil cons cons nil cons cons 515 ref subst 993 def nil 435 ref 860 remove nil cons cons 437 ref 872 remove nil cons cons nil cons cons nil cons cons 515 ref subst 994 def nil 435 ref 861 remove nil cons cons 437 ref 871 remove nil cons cons nil cons cons nil cons cons 515 ref subst 995 def nil 435 ref 862 remove nil cons cons 437 ref 870 remove nil cons cons nil cons cons nil cons cons 515 ref subst 996 def nil 435 ref 863 remove nil cons cons 437 ref 869 remove nil cons cons nil cons cons nil cons cons 515 ref subst 997 def nil 435 ref 864 remove nil cons cons 437 ref 868 remove nil cons cons nil cons cons nil cons cons 515 ref subst 998 def nil 435 ref 865 remove nil cons cons 437 ref 867 remove nil cons cons nil cons cons nil cons cons 515 ref subst 999 def nil 435 ref 866 remove nil cons cons 560 remove cons nil cons cons 515 ref subst 1000 def 563 ref 566 remove 567 ref 570 ref 573 ref 576 ref 579 ref 599 ref nil 602 ref 814 ref cons nil cons cons 459 ref subst proveHyp 615 ref 808 ref appThm sym nil 618 ref 814 remove cons nil cons cons 1001 def 416 ref subst 1001 remove 467 ref subst 439 ref nil 38 ref 745 ref nil cons cons nil cons nil cons cons 624 ref subst appThm 752 ref refl 1002 def appThm sym nil "n" 14 ref var 1003 def 704 ref nil cons 1004 def cons 1005 def "m" 14 ref var 1006 def 491 ref cons 1007 def nil cons 1008 def cons nil cons cons 1003 ref 129 ref 698 ref 1006 ref varTerm 1009 def appTerm 1010 def 1003 ref varTerm 1011 def appTerm 1012 def appTerm 1013 def 167 ref "d" 14 ref var 1014 def 180 ref 1011 ref appTerm 1015 def 187 ref 1009 ref appTerm 1016 def 1014 ref varTerm 1017 def appTerm appTerm absTerm appTerm appTerm absTerm 1018 def 1011 ref appTerm 1019 def betaConv 1006 ref 17 ref 1018 ref appTerm 1020 def absTerm 1021 def 1009 ref appTerm 1022 def betaConv nil 17 ref 1021 ref appTerm 1023 def axiom nil 399 ref 1023 remove nil cons cons 400 ref 1022 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1021 remove nil cons cons 475 ref 1009 ref nil cons 1024 def cons nil cons 1025 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1020 remove nil cons cons 400 ref 1019 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1018 remove nil cons cons 475 ref 1011 ref nil cons 1026 def cons nil cons 1027 def cons nil cons cons 469 ref subst eqMp eqMp 1028 def subst 705 remove assume 1029 def eqMp 1030 def nil 399 ref 167 ref 1014 ref 180 ref 704 ref appTerm 1031 def 747 ref 1017 ref appTerm appTerm absTerm 1032 def appTerm 1033 def nil cons cons 1034 def 400 ref 129 ref 585 ref 745 ref appTerm 1035 def appTerm 1036 def 752 ref appTerm 1037 def nil cons 1038 def cons nil cons 1039 def cons nil cons cons 459 ref subst proveHyp nil 160 ref "dk" 14 ref var 1040 def 41 ref 1032 ref 1040 ref varTerm 1041 def appTerm 1042 def appTerm 1043 def 1037 ref appTerm 1044 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1040 ref nil 150 ref 1044 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 1042 ref nil cons 1045 def cons 1046 def 1039 ref cons nil cons cons 1047 def 416 ref subst 1047 remove 467 ref subst 1042 ref betaConv 1042 remove assume eqMp 1048 def nil 399 ref 1031 remove 747 ref 1041 ref appTerm 1049 def appTerm 1050 def nil cons 1051 def cons 1052 def 1039 ref cons nil cons cons 1053 def 459 ref subst proveHyp 1053 ref 416 ref subst 1053 remove 467 ref subst 695 ref 41 ref 723 ref 42 ref 180 ref 731 ref 187 ref 1041 ref appTerm 1054 def 207 ref appTerm 1055 def appTerm 1056 def appTerm 741 remove 739 ref appTerm 1057 def appTerm 1058 def appTerm 1059 def 263 remove appTerm appTerm 1060 def appTerm 1036 remove 180 ref 710 ref appTerm 1061 def 1054 ref 192 ref appTerm 1062 def appTerm 1063 def appTerm 1064 def appTerm 1065 def absTerm 1066 def 710 ref appTerm 1067 def betaConv 38 ref 17 ref 1066 ref appTerm 1068 def absTerm 1069 def 47 ref appTerm 1070 def betaConv 35 ref 17 ref 38 ref 17 ref 695 ref 41 ref 723 ref 1059 ref 639 remove appTerm appTerm appTerm 746 ref 1063 ref appTerm 1071 def appTerm absTerm appTerm absTerm appTerm absTerm 1072 def 262 ref appTerm 1073 def betaConv 642 ref 34 ref 35 ref 17 ref 38 ref 17 ref 695 ref 41 ref 723 ref 42 ref 180 ref 187 ref 726 ref 728 ref 643 ref appTerm 47 ref appTerm appTerm appTerm 1074 def 1055 ref appTerm appTerm 187 ref 738 ref 181 ref 643 ref appTerm 1075 def appTerm 1076 def appTerm 1075 ref appTerm 1077 def appTerm appTerm 644 ref appTerm appTerm appTerm 1071 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 1078 def 67 ref appTerm 1079 def betaConv 6 ref 11 ref 1078 ref appTerm 1080 def absTerm 1081 def 45 ref appTerm 1082 def betaConv 1003 ref 34 ref 6 ref 11 ref 642 ref 34 ref 35 ref 17 ref 38 ref 17 ref 695 ref 41 ref 723 ref 42 ref 180 ref 1074 ref 187 ref 1011 ref appTerm 1083 def 207 ref appTerm appTerm appTerm 1077 remove appTerm appTerm 644 remove appTerm appTerm appTerm 746 ref 1061 ref 1083 ref 192 ref appTerm 1084 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 1085 def 1041 ref appTerm 1086 def betaConv nil 17 ref 1085 ref appTerm 1087 def axiom nil 399 ref 1087 remove nil cons cons 400 ref 1086 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1085 remove nil cons cons 475 ref 1041 remove nil cons 1088 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 1081 ref appTerm nil cons cons 400 ref 1082 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 1081 remove nil cons cons 461 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1080 remove nil cons cons 400 ref 1079 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 1078 remove nil cons cons 490 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 1072 ref appTerm nil cons cons 400 ref 1073 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 1072 remove nil cons cons 598 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 1069 ref appTerm nil cons cons 400 ref 1070 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1069 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1068 remove nil cons cons 400 ref 1067 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1066 remove nil cons cons 475 ref 710 ref nil cons 1089 def cons nil cons 1090 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1065 ref nil cons cons 1039 ref cons nil cons cons 459 ref subst proveHyp 625 ref 603 ref 707 ref nil 150 ref 720 remove nil cons cons nil cons nil cons cons 155 ref subst 721 ref 708 ref appTerm 1091 def betaConv nil 399 ref 821 ref cons 400 ref 1091 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 721 remove nil cons cons 475 ref 708 ref nil cons 1092 def cons nil cons 1093 def cons nil cons cons 469 ref subst eqMp eqMp eqMp absThm appThm 628 ref 163 ref 150 ref 129 ref 133 ref 139 ref 151 ref absTerm 1094 def appTerm appTerm 151 ref appTerm absTerm 1095 def 151 ref appTerm 1096 def betaConv nil 607 ref 1095 ref appTerm 1097 def axiom nil 399 ref 1097 remove nil cons cons 400 ref 1096 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1095 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp subst 1098 def subst 1099 def trans appThm 1059 remove refl 626 remove appThm nil 150 ref 1058 remove nil cons cons nil cons nil cons cons 1100 def 150 ref 129 ref 42 ref 151 ref appTerm 1101 def 140 ref appTerm appTerm 151 ref appTerm absTerm 1102 def 151 ref appTerm 1103 def betaConv nil 607 ref 1102 ref appTerm 1104 def axiom nil 399 ref 1104 remove nil cons cons 400 ref 1103 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1102 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1105 def subst trans appThm 1100 remove 633 ref subst trans sym nil 1003 ref 1057 remove nil cons cons 1006 ref 1056 remove nil cons cons nil cons cons nil cons cons 1003 ref 129 ref 180 ref 1009 ref appTerm 1106 def 1011 ref appTerm 1107 def appTerm 1108 def 180 ref 1016 ref 68 ref appTerm appTerm 1083 ref 68 ref appTerm appTerm 1109 def appTerm 1110 def absTerm 1111 def 1011 ref appTerm 1112 def betaConv 1006 ref 17 ref 1111 ref appTerm 1113 def absTerm 1114 def 1009 ref appTerm 1115 def betaConv 603 ref 1006 ref 603 ref 1003 ref 1110 remove assume sym 129 ref 1109 remove appTerm 1107 ref appTerm assume sym deductAntisym absThm appThm absThm appThm "p" 14 ref var 1116 def 17 ref 1006 ref 17 ref 1003 ref 129 ref 180 ref 1016 ref 1116 ref varTerm 1117 def appTerm 1118 def appTerm 1119 def 1083 ref 1117 ref appTerm 1120 def appTerm appTerm 1107 ref appTerm absTerm 1121 def appTerm 1122 def absTerm 1123 def appTerm 1124 def absTerm 1125 def 68 ref appTerm 1126 def betaConv nil 17 ref 1125 ref appTerm 1127 def axiom 1128 def nil 399 ref 1127 remove nil cons cons 1129 def 400 ref 1126 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1125 ref nil cons cons 1130 def 492 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp nil 399 ref 17 ref 1114 ref appTerm nil cons cons 400 ref 1115 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1114 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1113 remove nil cons cons 400 ref 1112 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1111 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst sym 180 ref refl 1131 def nil 1116 ref 491 ref cons 1132 def 1003 ref 1055 remove nil cons cons 1006 ref 730 remove nil cons cons nil cons 1133 def cons cons nil cons cons 1116 ref 180 ref 187 ref 1016 ref 1011 ref appTerm 1134 def appTerm 1135 def 1117 ref appTerm 1136 def appTerm 1016 ref 1120 ref appTerm 1137 def appTerm 1138 def absTerm 1139 def 1117 ref appTerm 1140 def betaConv 1141 def 1003 ref 17 ref 1139 ref appTerm 1142 def absTerm 1143 def 1011 ref appTerm 1144 def betaConv 1145 def 1006 ref 17 ref 1143 ref appTerm 1146 def absTerm 1147 def 1009 ref appTerm 1148 def betaConv 1149 def 603 ref 1006 ref 603 ref 1003 ref 603 ref 1116 ref 1138 ref assume sym 180 ref 1137 ref appTerm 1150 def 1136 ref appTerm 1151 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 17 ref 1006 ref 17 ref 1003 ref 17 ref 1116 ref 1151 ref absTerm 1152 def appTerm 1153 def absTerm 1154 def appTerm 1155 def absTerm 1156 def appTerm 1157 def axiom 1158 def eqMp nil 399 ref 17 ref 1147 ref appTerm 1159 def nil cons cons 1160 def 400 ref 1148 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1147 remove nil cons 1161 def cons 1162 def 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1146 ref nil cons cons 400 ref 1144 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1143 remove nil cons 1163 def cons 1164 def 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1142 ref nil cons cons 400 ref 1140 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1139 remove nil cons 1165 def cons 1166 def 475 ref 1117 ref nil cons 1167 def cons nil cons 1168 def cons nil cons cons 469 ref subst eqMp eqMp 1169 def subst 731 ref refl nil 1132 ref 1003 ref 207 ref nil cons 1170 def cons 1171 def 1006 ref 1088 ref cons nil cons 1172 def cons cons nil cons cons 1169 ref subst appThm trans appThm nil 1132 ref 1003 ref 739 remove nil cons cons 1006 ref 740 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst appThm sym 180 ref 731 remove 1054 ref 187 ref 207 ref appTerm 1173 def 68 ref appTerm 1174 def appTerm 1175 def appTerm appTerm refl 743 remove assume 1176 def sym appThm sym nil 1116 ref 736 ref nil cons 1177 def cons 1003 ref 1175 remove nil cons cons 1133 remove cons cons nil cons cons 1116 ref 129 ref 180 ref 1134 ref appTerm 1178 def 1118 ref appTerm appTerm 1015 ref 1117 ref appTerm 1179 def appTerm absTerm 1180 def 1117 ref appTerm 1181 def betaConv 1003 ref 17 ref 1180 ref appTerm 1182 def absTerm 1183 def 1011 ref appTerm 1184 def betaConv 1006 ref 17 ref 1183 ref appTerm 1185 def absTerm 1186 def 1009 ref appTerm 1187 def betaConv nil 17 ref 1186 ref appTerm 1188 def axiom 1189 def nil 399 ref 1188 remove nil cons cons 1190 def 400 ref 1187 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1186 ref nil cons cons 1191 def 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1185 remove nil cons cons 400 ref 1184 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1183 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1182 remove nil cons cons 400 ref 1181 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1180 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 1192 def subst sym 1131 ref nil 1003 ref 1174 remove nil cons cons 1172 ref cons nil cons cons 1003 ref 1178 ref 1083 ref 1009 ref appTerm 1193 def appTerm 1194 def absTerm 1195 def 1011 ref appTerm 1196 def betaConv 1197 def 1006 ref 17 ref 1195 ref appTerm 1198 def absTerm 1199 def 1009 ref appTerm 1200 def betaConv 1201 def nil 17 ref 1199 ref appTerm 1202 def axiom 1203 def nil 399 ref 1202 ref nil cons 1204 def cons 1205 def 400 ref 1200 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1199 ref nil cons 1206 def cons 1207 def 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1198 ref nil cons cons 400 ref 1196 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1195 remove nil cons 1208 def cons 1209 def 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 1210 def subst appThm 736 ref refl 1211 def appThm sym 1131 ref nil 1116 ref 1088 ref cons 1212 def 1003 ref 491 remove cons 1213 def 1006 ref 1170 ref cons 1214 def nil cons 1215 def cons cons nil cons cons 1169 ref subst appThm 1211 ref appThm sym 1131 ref 1173 ref refl 1216 def 1050 remove assume 1217 def sym 1218 def appThm appThm 1211 ref appThm sym 1131 ref nil 1005 ref 1215 ref cons nil cons cons 1210 ref subst appThm 1211 ref appThm sym nil 1116 ref 1170 ref cons 1219 def 1003 ref 703 ref nil cons 1220 def cons 1006 ref 476 ref cons nil cons 1221 def cons 1222 def cons nil cons cons 1169 ref subst 699 ref refl 1223 def nil 1219 ref 1003 ref 702 ref nil cons 1224 def cons 1225 def 1006 ref 482 ref cons 1226 def nil cons 1227 def cons 1228 def cons nil cons cons 1169 ref subst 700 ref refl 1229 def nil 1219 ref 1003 ref 193 ref nil cons 1230 def cons 1231 def 1006 ref 486 ref cons 1232 def nil cons 1233 def cons 1234 def cons nil cons cons 1169 ref subst 701 ref refl 1235 def nil 1219 ref 1003 ref 192 ref nil cons 1236 def cons 1237 def 1006 ref 188 ref nil cons 1238 def cons 1239 def nil cons 1240 def cons 1241 def cons nil cons cons 1242 def 1169 ref subst 189 ref refl 1243 def nil 1237 ref 1006 ref 191 ref nil cons 1244 def cons 1245 def nil cons 1246 def cons nil cons cons 1247 def 1003 ref 180 ref 187 ref 190 ref 1009 ref appTerm appTerm 1248 def 206 ref 1011 ref appTerm 1249 def appTerm appTerm 190 ref 1134 ref appTerm 1250 def appTerm absTerm 1251 def 1011 ref appTerm 1252 def betaConv 1006 ref 17 ref 1251 ref appTerm 1253 def absTerm 1254 def 1009 ref appTerm 1255 def betaConv 625 ref 603 ref 1006 ref 603 ref 1003 ref 1178 ref 1134 ref appTerm 1256 def refl absThm appThm absThm appThm appThm 625 ref 1131 ref nil 1003 ref 1244 ref cons 1257 def nil cons nil cons cons 1258 def 1003 ref 180 ref 187 ref 191 ref appTerm 1259 def 1011 ref appTerm 1260 def appTerm 1011 ref appTerm absTerm 1261 def 1011 ref appTerm 1262 def betaConv nil 17 ref 1261 ref appTerm 1263 def axiom nil 399 ref 1263 remove nil cons cons 400 ref 1262 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1261 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 1264 def subst 1265 def appThm 191 ref refl 1266 def appThm appThm 625 ref 603 ref 1003 ref 1131 ref nil 1003 ref 1249 ref nil cons 1267 def cons nil cons nil cons cons 1264 ref subst 1268 def 1003 ref 180 ref 1249 ref appTerm 1083 ref 1011 ref appTerm 1269 def appTerm 1270 def absTerm 1271 def 1011 ref appTerm 1272 def betaConv 1273 def 1131 ref nil 180 ref 206 ref 191 ref appTerm appTerm 1274 def 191 ref appTerm axiom 1275 def appThm 1265 ref appThm nil 475 ref 1244 ref cons nil cons 1276 def nil cons cons 163 ref nil 150 ref 128 ref 0 ref 130 ref 131 ref nil cons 1277 def cons opType constTerm 1278 def 463 ref appTerm 1279 def 463 ref appTerm nil cons cons nil cons nil cons cons 155 ref subst 468 remove eqMp 1280 def subst 1281 def subst 1282 def trans sym 154 ref eqMp nil 399 ref 1274 remove 1259 ref 191 ref appTerm 1283 def appTerm 1284 def nil cons cons 400 ref 17 ref 1003 ref 41 ref 1270 ref appTerm 180 ref 206 ref "Number.Natural.suc" const 184 ref constTerm 1285 def 1011 ref appTerm 1286 def appTerm 1287 def appTerm 1288 def 187 ref 1286 ref appTerm 1286 ref appTerm appTerm 1289 def appTerm 1290 def absTerm 1291 def appTerm 1292 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 160 ref 1291 remove nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 1290 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 1270 ref nil cons 1293 def cons 400 ref 1289 remove nil cons 1294 def cons nil cons cons nil cons cons 1295 def 416 ref subst 1295 remove 467 ref subst 1131 ref 1003 ref 1288 remove 1285 ref 1285 ref 1249 ref appTerm 1296 def appTerm appTerm absTerm 1297 def 1011 ref appTerm 1298 def betaConv nil 17 ref 1297 ref appTerm 1299 def axiom nil 399 ref 1299 remove nil cons cons 400 ref 1298 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1297 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 1300 def 1285 ref refl 1301 def 1301 ref 1270 remove assume appThm appThm trans appThm nil 1003 ref 1286 ref nil cons 1302 def cons 1303 def 1006 ref 1026 ref cons nil cons 1304 def cons nil cons cons 1003 ref 180 ref 187 ref 1285 ref 1009 ref appTerm 1305 def appTerm 1011 ref appTerm appTerm 1285 ref 1134 ref appTerm 1306 def appTerm absTerm 1307 def 1011 ref appTerm 1308 def betaConv 1006 ref 17 ref 1307 ref appTerm 1309 def absTerm 1310 def 1009 ref appTerm 1311 def betaConv nil 17 ref 1310 ref appTerm 1312 def axiom nil 399 ref 1312 remove nil cons cons 400 ref 1311 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1310 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1309 remove nil cons cons 400 ref 1308 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1307 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 1313 def subst 1314 def 1301 ref nil 1304 ref nil cons cons 1003 ref 180 ref 1016 ref 1286 ref appTerm 1315 def appTerm 1306 ref appTerm 1316 def absTerm 1317 def 1011 ref appTerm 1318 def betaConv 1006 ref 17 ref 1317 ref appTerm 1319 def absTerm 1320 def 1009 ref appTerm 1321 def betaConv nil 17 ref 1320 ref appTerm 1322 def axiom 1323 def nil 399 ref 1322 remove nil cons cons 400 ref 1321 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1320 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1319 remove nil cons cons 400 ref 1318 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1317 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 1324 def subst appThm 1325 def trans appThm nil 475 ref 1285 ref 1285 ref 1269 ref appTerm 1326 def appTerm nil cons cons nil cons nil cons cons 1281 ref subst 1327 def trans sym 154 ref eqMp eqMp nil 435 ref 1293 remove cons 437 ref 1294 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 399 ref 42 ref 1284 remove appTerm 1292 remove appTerm nil cons cons 400 ref 17 ref 1271 ref appTerm nil cons 1328 def cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 625 ref 1271 ref 191 ref appTerm betaConv appThm 603 ref 1003 ref 165 ref 1273 ref appThm 1271 ref 1286 ref appTerm betaConv appThm absThm appThm appThm appThm 603 ref 1003 ref 1273 remove absThm appThm appThm nil "p" 15 ref var 1329 def 1271 remove nil cons 1330 def cons nil cons nil cons cons 1329 ref 41 ref 42 ref 1329 ref varTerm 1331 def 191 ref appTerm appTerm 17 ref 1003 ref 41 ref 1331 ref 1011 ref appTerm 1332 def appTerm 1331 ref 1286 ref appTerm appTerm absTerm appTerm appTerm appTerm 17 ref 1003 ref 1332 ref absTerm appTerm 1333 def appTerm absTerm 1334 def 1331 ref appTerm 1335 def betaConv nil 7 ref 0 ref 16 ref 3 ref cons opType constTerm 1336 def 1334 ref appTerm 1337 def axiom nil 399 ref 1337 remove nil cons cons 400 ref 1335 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp "A" 43 remove cons nil cons 1338 def "P" 16 remove var 1339 def 1334 remove nil cons cons "x" 15 ref var 1331 ref nil cons cons nil cons 1340 def cons nil cons cons 469 ref subst eqMp eqMp 1341 def subst eqMp eqMp nil 399 ref 1328 remove cons 400 ref 1272 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1330 remove cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 1342 def trans appThm 1342 ref appThm absThm appThm appThm 625 ref 603 ref 1003 ref 1131 ref nil 1003 ref 190 ref 1011 ref appTerm 1343 def nil cons 1344 def cons nil cons nil cons cons 1264 ref subst 1345 def 1003 ref 180 ref 1343 ref appTerm 1296 ref appTerm absTerm 1346 def 1011 ref appTerm 1347 def betaConv nil 17 ref 1346 ref appTerm 1348 def axiom nil 399 ref 1348 remove nil cons cons 400 ref 1347 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1346 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 1349 def 1301 ref 1342 ref appThm 1350 def trans 1351 def trans appThm 1351 ref appThm nil 1003 ref 1269 ref nil cons 1352 def cons 1353 def 1006 ref 1352 ref cons nil cons cons nil cons cons 1003 ref 129 ref 180 ref 1305 ref appTerm 1354 def 1286 ref appTerm appTerm 1107 ref appTerm absTerm 1355 def 1011 ref appTerm 1356 def betaConv 1006 ref 17 ref 1355 ref appTerm 1357 def absTerm 1358 def 1009 ref appTerm 1359 def betaConv nil 17 ref 1358 ref appTerm 1360 def axiom nil 399 ref 1360 remove nil cons cons 400 ref 1359 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1358 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1357 remove nil cons cons 400 ref 1356 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1355 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 1361 def subst 1362 def trans absThm appThm appThm 625 ref 603 ref 1003 ref 1131 ref nil 1006 ref 1267 remove cons nil cons nil cons cons 1006 ref 180 ref 1016 ref 191 ref appTerm appTerm 1009 ref appTerm absTerm 1363 def 1009 ref appTerm 1364 def betaConv nil 17 ref 1363 ref appTerm 1365 def axiom nil 399 ref 1365 remove nil cons cons 400 ref 1364 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1363 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp 1366 def subst 1342 ref trans appThm 1342 ref appThm absThm appThm appThm 625 ref 603 ref 1003 ref 1131 ref nil 1006 ref 1344 remove cons nil cons nil cons cons 1366 ref subst 1367 def 1351 ref trans appThm 1351 ref appThm 1362 remove trans absThm appThm appThm 625 ref 603 ref 1006 ref 603 ref 1003 ref 1131 ref 187 ref refl 1368 def nil 1003 ref 1024 ref cons 1369 def nil cons 1370 def nil cons cons 1371 def 1342 ref subst appThm 1372 def 1342 ref appThm appThm nil 1003 ref 1134 ref nil cons 1373 def cons 1374 def nil cons nil cons cons 1375 def 1342 ref subst appThm absThm appThm absThm appThm appThm 625 ref 603 ref 1006 ref 603 ref 1003 ref 1131 ref 1372 remove 1351 ref appThm nil 1353 remove 1006 ref 1016 ref 1009 ref appTerm 1376 def nil cons cons nil cons 1377 def cons nil cons cons 1378 def 1324 ref subst 1379 def trans appThm 1375 remove 1351 ref subst 1380 def appThm nil 1003 ref 1135 remove 1134 ref appTerm 1381 def nil cons cons 1006 ref 187 ref 1376 remove appTerm 1269 ref appTerm 1382 def nil cons cons nil cons cons nil cons cons 1361 ref subst 1383 def trans absThm appThm absThm appThm appThm 625 ref 603 ref 1006 ref 603 ref 1003 ref 1131 ref 1368 ref 1371 remove 1351 ref subst appThm 1384 def 1342 ref appThm 1378 remove 1313 ref subst trans appThm 1380 remove appThm 1383 ref trans absThm appThm absThm appThm appThm 603 ref 1006 ref 603 ref 1003 ref 1131 ref 1384 remove 1351 ref appThm nil 1003 ref 1326 remove nil cons 1385 def cons 1377 remove cons nil cons cons 1313 ref subst 1301 ref 1379 remove appThm trans trans appThm nil 1003 ref 1306 ref nil cons cons 1386 def nil cons nil cons cons 1342 ref subst nil 1386 remove 1006 ref 1373 ref cons nil cons 1387 def cons nil cons cons 1313 ref subst trans 1301 ref nil 1374 remove 1387 remove cons nil cons cons 1324 ref subst appThm trans appThm nil 1003 ref 1285 ref 1381 ref appTerm nil cons cons 1006 ref 1285 ref 1382 ref appTerm nil cons cons nil cons cons nil cons cons 1361 ref subst 1383 remove trans trans absThm appThm absThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm sym 625 ref 603 ref 1006 ref 603 ref 1003 ref nil 475 ref 1373 ref cons nil cons nil cons cons 1281 ref subst absThm appThm 1099 ref trans absThm appThm 1099 ref trans appThm 625 ref 1282 ref appThm 625 ref 603 ref 1003 ref nil 475 ref 1352 ref cons nil cons nil cons cons 1281 ref subst absThm appThm 1099 ref trans appThm 1388 def 1388 ref 1388 ref 1388 remove 625 ref 603 ref 1006 ref 603 ref 1003 ref 1131 ref nil 1116 ref 1352 remove cons 1370 remove cons nil cons cons 1169 ref subst appThm nil 1116 ref 1373 remove cons nil cons nil cons cons 1169 ref subst 1016 ref refl nil 1116 ref 1026 ref cons 1389 def 1369 ref 1304 ref cons cons nil cons cons 1116 ref 42 ref 1194 ref appTerm 42 ref 1138 ref appTerm 1150 ref 1083 ref 1118 ref appTerm 1390 def appTerm 1391 def appTerm 1392 def appTerm absTerm 1393 def 1117 ref appTerm 1394 def betaConv 1003 ref 17 ref 1393 ref appTerm 1395 def absTerm 1396 def 1011 ref appTerm 1397 def betaConv 1006 ref 17 ref 1396 ref appTerm 1398 def absTerm 1399 def 1009 ref appTerm 1400 def betaConv nil 399 ref 17 ref 1399 ref appTerm 1401 def nil cons cons 1402 def nil cons nil cons cons 679 ref refl 1403 def nil 150 ref 77 ref 401 ref appTerm 1404 def nil cons 1405 def cons nil cons nil cons cons 150 ref 129 ref 41 ref 151 ref appTerm 1406 def "Data.Bool.F" const 2 ref constTerm 1407 def appTerm appTerm 77 ref 151 ref appTerm 1408 def appTerm absTerm 1409 def 151 ref appTerm 1410 def betaConv nil 607 ref 1409 ref appTerm 1411 def axiom nil 399 ref 1411 remove nil cons cons 400 ref 1410 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1409 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1412 def subst appThm sym 1403 remove 429 ref 150 ref 129 ref 77 ref 1408 ref appTerm appTerm 151 ref appTerm absTerm 1413 def 151 ref appTerm 1414 def betaConv nil 607 ref 1413 ref appTerm 1415 def axiom nil 399 ref 1415 remove nil cons cons 400 ref 1414 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1413 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1416 def subst 1417 def appThm nil 611 ref 428 ref cons nil cons 1418 def nil cons cons 609 ref 127 ref cons 1419 def 1280 ref subst 1420 def subst trans sym 154 ref eqMp eqMp 1421 def subst sym nil 399 ref 77 ref 1401 remove appTerm nil cons 1422 def cons 1423 def 400 ref 1407 ref nil cons 1424 def cons nil cons 1425 def cons nil cons cons 1426 def 416 ref subst 1426 remove 467 ref subst 1158 ref nil 399 ref 1157 ref nil cons 1427 def cons 1428 def 1425 ref cons nil cons cons 1429 def 459 ref subst proveHyp 1203 ref nil 1205 ref 400 ref 41 ref 1157 ref appTerm 1407 ref appTerm 1430 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1423 remove 400 ref 41 ref 1202 ref appTerm 1431 def 1430 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst 165 ref 620 ref 603 ref 1006 ref 603 ref 1003 ref 439 ref 603 ref 1116 ref 625 ref 1116 ref 1194 ref absTerm 1432 def 1117 ref appTerm betaConv 1433 def appThm 1116 ref 1392 ref absTerm 1434 def 1117 ref appTerm betaConv 1435 def appThm absThm appThm appThm 625 ref 603 ref 1116 ref 1433 remove absThm appThm appThm 603 ref 1116 ref 1435 remove absThm appThm appThm appThm nil 1329 ref 1432 remove nil cons cons "q" 15 ref var 1436 def 1434 remove nil cons cons nil cons cons nil cons cons 163 ref "q" 131 ref var 1437 def 129 ref 133 ref 139 ref 42 ref 676 ref appTerm 1437 ref varTerm 1438 def 463 ref appTerm 1439 def appTerm absTerm appTerm appTerm 42 ref 133 ref 139 ref 676 ref absTerm 1440 def appTerm 1441 def appTerm 133 ref 139 ref 1439 ref absTerm 1442 def appTerm appTerm appTerm absTerm 1443 def 1438 ref appTerm 1444 def betaConv 137 ref 7 ref 144 remove constTerm 1445 def 1443 ref appTerm 1446 def absTerm 1447 def 138 ref appTerm 1448 def betaConv nil 1445 ref 1447 ref appTerm 1449 def axiom nil 399 ref 1449 remove nil cons cons 400 ref 1448 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp "A" 1277 remove cons nil cons 1450 def "P" 132 remove var 1451 def 1447 remove nil cons cons "x" 131 ref var 1452 def 138 ref nil cons cons nil cons 1453 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1446 remove nil cons cons 400 ref 1444 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 1450 ref 1451 ref 1443 remove nil cons cons 1452 remove 1438 ref nil cons cons nil cons 1454 def cons nil cons cons 469 ref subst eqMp eqMp subst 1455 def subst eqMp 625 ref nil 150 ref 1194 ref nil cons 1456 def cons nil cons nil cons cons 1098 remove subst appThm 439 ref 603 ref 1116 ref 625 ref 1141 ref appThm 1116 ref 1391 ref absTerm 1457 def 1117 ref appTerm betaConv 1458 def appThm absThm appThm appThm 625 ref 603 ref 1116 ref 1141 ref absThm appThm appThm 603 ref 1116 ref 1458 ref absThm appThm appThm appThm nil 1329 ref 1165 remove cons 1436 ref 1457 ref nil cons 1459 def cons nil cons cons nil cons cons 1455 ref subst eqMp appThm trans absThm appThm 439 ref 603 ref 1003 ref 625 ref 1197 ref appThm 1003 ref 42 ref 1142 remove appTerm 17 ref 1457 remove appTerm 1460 def appTerm absTerm 1461 def 1011 ref appTerm betaConv 1462 def appThm absThm appThm appThm 625 ref 603 ref 1003 ref 1197 ref absThm appThm appThm 603 ref 1003 ref 1462 remove absThm appThm appThm appThm nil 1329 ref 1208 remove cons 1436 ref 1461 remove nil cons cons nil cons cons nil cons cons 1455 ref subst eqMp 42 ref 1198 remove appTerm refl 439 ref 603 ref 1003 ref 625 ref 1145 ref appThm 1003 ref 1460 remove absTerm 1463 def 1011 ref appTerm betaConv 1464 def appThm absThm appThm appThm 625 ref 603 ref 1003 ref 1145 ref absThm appThm appThm 603 ref 1003 ref 1464 ref absThm appThm appThm appThm nil 1329 ref 1163 remove cons 1436 ref 1463 ref nil cons 1465 def cons nil cons cons nil cons cons 1455 ref subst eqMp appThm trans trans absThm appThm 439 ref 603 ref 1006 ref 625 ref 1201 ref appThm 1006 ref 42 ref 1146 remove appTerm 17 ref 1463 remove appTerm 1466 def appTerm absTerm 1467 def 1009 ref appTerm betaConv 1468 def appThm absThm appThm appThm 625 ref 603 ref 1006 ref 1201 ref absThm appThm appThm 603 ref 1006 ref 1468 remove absThm appThm appThm appThm nil 1329 ref 1206 remove cons 1436 ref 1467 remove nil cons cons nil cons cons nil cons cons 1455 ref subst eqMp 42 ref 1202 remove appTerm 1469 def refl 439 ref 603 ref 1006 ref 625 ref 1149 ref appThm 1006 ref 1466 remove absTerm 1470 def 1009 ref appTerm betaConv 1471 def appThm absThm appThm appThm 625 ref 603 ref 1006 ref 1149 ref absThm appThm appThm 603 ref 1006 ref 1471 ref absThm appThm appThm appThm nil 1329 ref 1161 remove cons 1436 ref 1470 ref nil cons 1472 def cons nil cons cons nil cons cons 1455 remove subst eqMp appThm trans trans appThm appThm 1431 ref refl nil 150 ref 1427 ref cons nil cons nil cons cons 1412 ref subst 1473 def appThm appThm sym nil 399 ref 77 ref 1469 remove 42 ref 1159 remove appTerm 17 ref 1470 remove appTerm 1474 def appTerm 1475 def appTerm appTerm 1476 def nil cons 1477 def cons 400 ref 1431 remove 77 ref 1157 remove appTerm 1478 def appTerm nil cons 1479 def cons nil cons cons nil cons cons 1480 def 416 ref subst 1480 remove 467 ref subst nil 1205 ref 400 ref 1478 remove nil cons 1481 def cons nil cons cons nil cons cons 1482 def 416 ref subst 1482 remove 467 ref subst 1473 remove 1429 ref 416 ref subst 1429 remove 467 ref subst nil 1205 ref 400 ref 1475 remove nil cons cons nil cons cons nil cons cons nil 399 ref 679 ref 1407 ref appTerm 1483 def nil cons 1484 def cons 1485 def 400 ref 129 ref 77 ref 407 remove appTerm appTerm "Data.Bool.\\/" const 40 ref constTerm 1486 def 1404 ref appTerm 1487 def 77 ref 403 ref appTerm 1488 def appTerm appTerm nil cons 1489 def cons nil cons 1490 def cons nil cons cons 1491 def 416 ref subst 1491 remove 467 ref subst 129 ref "_530" 2 ref var 1492 def 129 ref 77 ref 42 ref 1492 remove varTerm 1493 def appTerm 403 ref appTerm appTerm appTerm 1486 ref 77 ref 1493 remove appTerm appTerm 1488 ref appTerm appTerm absTerm 1494 def 401 ref appTerm 1495 def appTerm refl 1496 def 1494 ref 1407 ref appTerm betaConv appThm 439 ref 1495 remove betaConv appThm 1497 def 129 ref 77 ref 42 ref 1407 ref appTerm 1498 def 403 ref appTerm appTerm appTerm 1486 ref 77 ref 1407 ref appTerm 1499 def appTerm 1500 def 1488 ref appTerm appTerm refl appThm trans 1494 remove refl 1501 def 1483 remove assume 1502 def appThm eqMp sym 439 ref 620 ref 432 ref 150 ref 129 ref 1498 ref 151 ref appTerm appTerm 1407 ref appTerm absTerm 1503 def 151 ref appTerm 1504 def betaConv nil 607 ref 1503 ref appTerm 1505 def axiom nil 399 ref 1505 remove nil cons cons 400 ref 1504 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1503 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1506 def subst appThm nil 129 ref 1499 ref appTerm 140 ref appTerm axiom 1507 def trans appThm 1486 ref refl 1508 def 1507 ref appThm 1509 def 1488 ref refl 1510 def appThm nil 150 ref 1488 ref nil cons 1511 def cons nil cons nil cons cons 1512 def 150 ref 129 ref 1486 ref 140 ref appTerm 1513 def 151 ref appTerm appTerm 140 ref appTerm absTerm 1514 def 151 ref appTerm 1515 def betaConv nil 607 ref 1514 ref appTerm 1516 def axiom nil 399 ref 1516 remove nil cons cons 400 ref 1515 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1514 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1517 def subst trans appThm 628 ref 150 ref 129 ref 129 ref 140 ref appTerm 1518 def 151 ref appTerm appTerm 151 ref appTerm absTerm 1519 def 151 ref appTerm 1520 def betaConv nil 607 ref 1519 ref appTerm 1521 def axiom nil 399 ref 1521 remove nil cons cons 400 ref 1520 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1519 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1522 def subst 1523 def trans sym 154 ref eqMp eqMp eqMp nil 435 ref 1484 ref cons 1524 def 437 ref 1489 ref cons nil cons 1525 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 679 remove 140 ref appTerm 1526 def nil cons 1527 def cons 1528 def 1490 remove cons nil cons cons 1529 def 416 ref subst 1529 remove 467 ref subst 1496 remove "_528" 2 ref var 1530 def 129 ref 77 ref 42 ref 1530 remove varTerm 1531 def appTerm 403 ref appTerm appTerm appTerm 1486 ref 77 ref 1531 remove appTerm appTerm 1488 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 1497 remove 129 ref 77 ref 629 ref 403 ref appTerm appTerm appTerm 1486 ref 77 ref 140 ref appTerm 1532 def appTerm 1533 def 1488 ref appTerm appTerm refl appThm trans 1501 remove 1526 remove assume 1534 def appThm eqMp sym 439 ref 620 ref 432 ref 633 ref subst appThm appThm 1508 ref nil 129 ref 1532 ref appTerm 1407 ref appTerm axiom 1535 def appThm 1536 def 1510 ref appThm 1512 ref 150 ref 129 ref 1486 ref 1407 ref appTerm 1537 def 151 ref appTerm appTerm 151 ref appTerm absTerm 1538 def 151 ref appTerm 1539 def betaConv nil 607 ref 1538 ref appTerm 1540 def axiom nil 399 ref 1540 remove nil cons cons 400 ref 1539 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1538 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1541 def subst trans appThm nil 611 ref 1511 remove cons nil cons nil cons cons 1420 ref subst 1542 def trans sym 154 ref eqMp eqMp eqMp nil 435 ref 1527 remove cons 1543 def 1525 remove cons nil cons cons 451 ref subst deductAntisym eqMp 150 ref 1486 ref 153 ref appTerm 152 remove 1407 ref appTerm 1544 def appTerm absTerm 1545 def 401 ref appTerm 1546 def betaConv nil 607 ref 1545 ref appTerm 1547 def axiom 1548 def nil 399 ref 1547 remove nil cons cons 1549 def 400 ref 1546 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1545 ref nil cons cons 1550 def 1418 ref cons nil cons cons 469 ref subst eqMp eqMp 1551 def nil 1543 ref 437 ref 1484 remove cons 1552 def "R" 2 ref var 1553 def 1489 remove cons nil cons cons cons nil cons cons nil 399 ref 41 ref 442 ref appTerm 1554 def 1553 ref varTerm 1555 def appTerm 1556 def nil cons cons 400 ref 1555 ref nil cons 1557 def cons nil cons cons nil cons cons 459 ref subst nil 399 ref 41 ref 440 ref appTerm 1558 def 1555 ref appTerm nil cons cons 400 ref 41 ref 1556 remove appTerm 1555 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst "r" 2 ref var 1559 def 41 ref 1558 ref 1559 ref varTerm 1560 def appTerm appTerm 1561 def 41 ref 1554 ref 1560 ref appTerm appTerm 1560 ref appTerm appTerm absTerm 1562 def 1555 remove appTerm 1563 def betaConv 129 ref 1486 ref 440 ref appTerm 1564 def 442 ref appTerm 1565 def appTerm refl 400 ref 607 ref 1559 ref 1561 remove 41 ref 41 ref 403 ref appTerm 1566 def 1560 ref appTerm 1567 def appTerm 1560 ref appTerm 1568 def appTerm absTerm appTerm absTerm 442 ref appTerm betaConv appThm 424 ref 1564 remove appTerm refl 399 ref 400 ref 607 ref 1559 ref 41 ref 402 ref 1560 ref appTerm appTerm 1568 remove appTerm absTerm appTerm absTerm absTerm 1569 def 440 ref appTerm betaConv appThm nil 413 remove 1486 ref appTerm 1569 remove appTerm axiom 449 ref appThm eqMp 445 remove appThm eqMp 1570 def 1565 remove assume eqMp nil 399 ref 607 ref 1562 ref appTerm nil cons cons 400 ref 1563 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1562 remove nil cons cons 611 ref 1557 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp 1571 def subst proveHyp proveHyp proveHyp 1572 def subst 1508 ref nil 1207 ref nil cons nil cons cons 163 ref 439 ref 620 ref 133 ref refl 1573 def nil "t" 131 ref var 135 remove nil cons 1574 def cons nil cons nil cons cons "A" 130 ref nil cons 1575 def cons 1576 def "B" 3 ref cons nil cons cons 127 ref cons "t" 0 ref 130 ref "B" varType nil cons cons opType 1577 def var 1578 def 128 ref 0 ref 1577 ref 0 ref 1577 ref 3 ref cons opType 1579 def nil cons cons opType constTerm 1580 def 1578 ref varTerm 1581 def appTerm 139 ref 1581 ref 463 ref appTerm absTerm 1582 def appTerm 1583 def absTerm 1584 def 1581 ref appTerm 1585 def betaConv 7 ref 0 ref 1579 ref 3 ref cons opType constTerm 1586 def refl 1578 ref 1583 remove assume sym 1580 remove 1582 remove appTerm 1581 ref appTerm 1587 def assume sym deductAntisym absThm appThm nil 1586 ref 1578 remove 1587 remove absTerm appTerm axiom eqMp nil 399 ref 1586 remove 1584 ref appTerm nil cons cons 400 ref 1585 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp "A" 1577 ref nil cons cons nil cons "P" 1579 remove var 1584 remove nil cons cons "x" 1577 remove var 1581 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp subst subst 1588 def appThm appThm appThm 659 ref 139 ref 77 ref 464 remove appTerm absTerm 1589 def appTerm refl appThm sym nil 137 ref 1574 remove cons nil cons nil cons cons 1590 def 137 ref 129 ref 77 ref 1441 remove appTerm appTerm 659 ref 139 ref 77 ref 676 ref appTerm absTerm 1591 def appTerm appTerm absTerm 1592 def 138 ref appTerm 1593 def betaConv nil 1445 ref 1592 ref appTerm 1594 def axiom nil 399 ref 1594 remove nil cons cons 400 ref 1593 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 1450 ref 1451 ref 1592 remove nil cons cons 1453 ref cons nil cons cons 469 ref subst eqMp eqMp 1595 def subst eqMp subst 1596 def subst 167 ref refl 1597 def 1006 ref 620 ref 1201 remove appThm nil 1209 remove nil cons nil cons cons 1596 ref subst 1597 ref 1003 ref 620 ref 1197 remove appThm absThm appThm trans trans absThm appThm trans appThm nil 1160 remove 400 ref 1474 remove nil cons cons nil cons cons nil cons cons 1572 ref subst 1508 ref nil 1162 remove nil cons nil cons cons 1596 ref subst 1597 ref 1006 ref 620 ref 1149 remove appThm nil 1164 remove nil cons nil cons cons 1596 ref subst 1597 ref 1003 ref 620 ref 1145 remove appThm nil 1166 remove nil cons nil cons cons 1596 ref subst 1597 ref 1116 ref 620 ref 1141 remove appThm absThm appThm trans trans absThm appThm trans trans absThm appThm trans appThm nil 160 ref 1472 remove cons nil cons nil cons cons 1596 ref subst 1597 ref 1006 ref 620 ref 1471 remove appThm nil 160 ref 1465 remove cons nil cons nil cons cons 1596 ref subst 1597 ref 1003 ref 620 ref 1464 remove appThm nil 160 ref 1459 remove cons nil cons nil cons cons 1596 ref subst 1597 ref 1116 ref 620 ref 1458 remove appThm absThm appThm trans trans absThm appThm trans trans absThm appThm trans appThm trans appThm trans 1486 ref 167 ref 1006 ref 167 ref 1003 ref 77 ref 1194 remove appTerm 1598 def absTerm 1599 def appTerm absTerm 1600 def appTerm appTerm refl 439 ref 1508 ref 1597 ref 1006 ref 1006 ref 167 ref 1003 ref 167 ref 1116 ref 77 ref 1138 ref appTerm 1601 def absTerm 1602 def appTerm absTerm 1603 def appTerm absTerm 1604 def 1009 ref appTerm betaConv 1605 def absThm appThm appThm 1597 ref 1006 ref 1006 ref 167 ref 1003 ref 167 ref 1116 ref 77 ref 1391 ref appTerm 1606 def absTerm 1607 def appTerm absTerm 1608 def appTerm absTerm 1609 def 1009 ref appTerm betaConv 1610 def absThm appThm appThm appThm 1597 ref 1006 ref 1508 ref 1605 remove appThm 1610 remove appThm absThm appThm appThm nil 1329 ref 1604 remove nil cons cons 1436 ref 1609 remove nil cons cons nil cons cons nil cons cons 163 ref 1437 ref 129 ref 1486 ref 659 ref 1440 remove appTerm 1611 def appTerm 659 ref 1442 remove appTerm 1612 def appTerm appTerm 659 ref 139 ref 1486 ref 676 ref appTerm 1439 ref appTerm absTerm appTerm appTerm absTerm 1613 def 1438 ref appTerm 1614 def betaConv 137 ref 1445 ref 1613 ref appTerm 1615 def absTerm 1616 def 138 ref appTerm 1617 def betaConv nil 1445 ref 1616 ref appTerm 1618 def axiom nil 399 ref 1618 remove nil cons cons 400 ref 1617 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 1450 ref 1451 ref 1616 remove nil cons cons 1453 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1615 remove nil cons cons 400 ref 1614 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 1450 ref 1451 ref 1613 remove nil cons cons 1454 ref cons nil cons cons 469 ref subst eqMp eqMp subst 1619 def subst eqMp 1597 ref 1006 ref 439 ref 1508 ref 1597 ref 1003 ref 1603 ref 1011 ref appTerm betaConv 1620 def absThm appThm appThm 1597 ref 1003 ref 1608 ref 1011 ref appTerm betaConv 1621 def absThm appThm appThm appThm 1597 ref 1003 ref 1508 ref 1620 remove appThm 1621 remove appThm absThm appThm appThm nil 1329 ref 1603 remove nil cons cons 1436 ref 1608 remove nil cons cons nil cons cons nil cons cons 1619 ref subst eqMp 1597 ref 1003 ref 439 ref 1508 ref 1597 ref 1116 ref 1602 ref 1117 ref appTerm betaConv 1622 def absThm appThm appThm 1597 ref 1116 ref 1607 ref 1117 ref appTerm betaConv 1623 def absThm appThm appThm appThm 1597 ref 1116 ref 1508 ref 1622 remove appThm 1623 remove appThm absThm appThm appThm nil 1329 ref 1602 remove nil cons cons 1436 ref 1607 remove nil cons cons nil cons cons nil cons cons 1619 ref subst eqMp absThm appThm trans absThm appThm trans appThm 439 ref 1508 ref 1597 ref 1006 ref 1600 ref 1009 ref appTerm betaConv 1624 def absThm appThm appThm 1597 ref 1006 ref 1006 ref 167 ref 1003 ref 167 ref 1116 ref 1486 ref 1601 ref appTerm 1606 ref appTerm 1625 def absTerm 1626 def appTerm absTerm 1627 def appTerm absTerm 1628 def 1009 ref appTerm betaConv 1629 def absThm appThm appThm appThm 1597 ref 1006 ref 1508 ref 1624 remove appThm 1629 remove appThm absThm appThm appThm nil 1329 ref 1600 remove nil cons cons 1436 ref 1628 remove nil cons cons nil cons cons nil cons cons 1619 ref subst eqMp 1597 ref 1006 ref 439 ref 1508 ref 1597 ref 1003 ref 1599 ref 1011 ref appTerm betaConv 1630 def absThm appThm appThm 1597 ref 1003 ref 1627 ref 1011 ref appTerm betaConv 1631 def absThm appThm appThm appThm 1597 ref 1003 ref 1508 ref 1630 remove appThm 1631 remove appThm absThm appThm appThm nil 1329 ref 1599 remove nil cons cons 1436 ref 1627 remove nil cons cons nil cons cons nil cons cons 1619 remove subst eqMp 1597 ref 1003 ref 439 ref 1486 ref 1598 ref appTerm 1632 def refl 1633 def 1597 ref 1116 ref 1626 ref 1117 ref appTerm betaConv 1634 def absThm appThm appThm appThm 1597 ref 1116 ref 1633 remove 1634 remove appThm absThm appThm appThm nil 1436 remove 1626 remove nil cons cons 399 ref 1598 ref nil cons 1635 def cons 1636 def nil cons cons nil cons cons 163 ref 1437 remove 129 ref 1486 ref 401 ref appTerm 1637 def 1612 remove appTerm appTerm 659 ref 139 ref 1637 ref 1439 remove appTerm absTerm appTerm appTerm absTerm 1638 def 1438 remove appTerm 1639 def betaConv 399 ref 1445 ref 1638 ref appTerm 1640 def absTerm 1641 def 401 ref appTerm 1642 def betaConv nil 607 ref 1641 ref appTerm 1643 def axiom nil 399 ref 1643 remove nil cons cons 400 ref 1642 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1641 remove nil cons cons 1418 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1640 remove nil cons cons 400 ref 1639 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 1450 ref 1451 ref 1638 remove nil cons cons 1454 remove cons nil cons cons 469 ref subst eqMp eqMp subst subst eqMp absThm appThm trans absThm appThm trans trans trans 1476 remove assume eqMp nil 399 ref 167 ref 1006 ref 167 ref 1003 ref 167 ref 1116 ref 1632 remove 1625 ref appTerm 1644 def absTerm 1645 def appTerm 1646 def absTerm 1647 def appTerm 1648 def absTerm 1649 def appTerm 1650 def nil cons cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 1006 ref 41 ref 1649 ref 1009 ref appTerm 1651 def appTerm 1407 ref appTerm 1652 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1006 ref nil 150 ref 1652 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 1651 ref nil cons 1653 def cons 1425 ref cons nil cons cons 1654 def 416 ref subst 1654 remove 467 ref subst 1651 ref betaConv 1651 remove assume eqMp nil 399 ref 1648 ref nil cons cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 1003 ref 41 ref 1647 ref 1011 ref appTerm 1655 def appTerm 1407 ref appTerm 1656 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 1656 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 1655 ref nil cons 1657 def cons 1425 ref cons nil cons cons 1658 def 416 ref subst 1658 remove 467 ref subst 1655 ref betaConv 1655 remove assume eqMp nil 399 ref 1646 ref nil cons cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 1116 ref 41 ref 1645 ref 1117 ref appTerm 1659 def appTerm 1407 ref appTerm 1660 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1116 ref nil 150 ref 1660 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 1659 ref nil cons 1661 def cons 1425 ref cons nil cons cons 1662 def 416 ref subst 1662 remove 467 ref subst 1659 ref betaConv 1659 remove assume eqMp nil 399 ref 1644 remove nil cons 1663 def cons 1425 ref cons nil cons cons 1664 def 459 ref subst proveHyp 1664 ref 416 ref subst 1664 remove 467 ref subst nil 399 ref 1625 remove nil cons 1665 def cons 1425 ref cons nil cons cons 1666 def 416 ref subst 1666 remove 467 ref subst nil 399 ref 1606 ref nil cons 1667 def cons 1425 ref cons nil cons cons 1668 def 416 ref subst 1668 remove 467 ref subst nil "_2205" 14 ref var 1669 def 1024 ref cons 1670 def "_2204" 14 ref var 1671 def 1120 ref nil cons cons nil cons cons nil cons cons 1003 ref 180 ref 187 ref 1671 ref varTerm 1672 def appTerm 1011 ref appTerm appTerm 1083 ref 1672 ref appTerm appTerm absTerm 1673 def 1669 remove varTerm 1674 def appTerm 1675 def betaConv 1199 ref 1672 ref appTerm 1676 def betaConv nil 1205 ref 400 ref 1676 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 1207 ref 475 ref 1672 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 1673 ref appTerm nil cons cons 400 ref 1675 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1673 remove nil cons cons 475 ref 1674 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 1677 def subst nil 399 ref 180 ref 187 ref 1120 ref appTerm 1009 ref appTerm 1678 def appTerm 1679 def 1137 ref appTerm 1680 def nil cons cons 400 ref 1679 remove 1390 ref appTerm 1681 def nil cons cons nil cons 1682 def cons nil cons cons 467 ref subst proveHyp nil "_2208" 14 ref var 1683 def 1024 ref cons "_2207" 14 ref var 1684 def 1167 ref cons "_2206" 14 ref var 1685 def 1026 ref cons nil cons cons cons nil cons cons 1116 ref 180 ref 187 ref 1685 remove varTerm 1686 def appTerm 1687 def 187 ref 1684 remove varTerm 1688 def appTerm 1117 ref appTerm appTerm appTerm 187 ref 1687 ref 1688 ref appTerm appTerm 1117 ref appTerm appTerm absTerm 1689 def 1683 remove varTerm 1690 def appTerm 1691 def betaConv 1003 ref 17 ref 1116 ref 180 ref 1687 ref 1120 ref appTerm appTerm 187 ref 1687 remove 1011 ref appTerm appTerm 1117 ref appTerm appTerm absTerm appTerm absTerm 1692 def 1688 ref appTerm 1693 def betaConv 1156 ref 1686 ref appTerm 1694 def betaConv nil 1428 ref 400 ref 1694 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 1156 ref nil cons cons 1695 def 475 ref 1686 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 1692 ref appTerm nil cons cons 400 ref 1693 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1692 remove nil cons cons 475 ref 1688 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 1689 ref appTerm nil cons cons 400 ref 1691 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1689 remove nil cons cons 475 ref 1690 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp subst nil 399 ref 180 ref 1083 ref 187 ref 1117 ref appTerm 1696 def 1009 ref appTerm 1697 def appTerm 1698 def appTerm 1699 def 1678 ref appTerm 1700 def nil cons cons 400 ref 1699 remove 1390 ref appTerm 1701 def nil cons cons nil cons 1702 def cons nil cons cons 467 ref subst proveHyp 1011 ref refl 1703 def nil 399 ref 1015 ref 1011 ref appTerm 1704 def nil cons cons 400 ref 180 ref 1697 ref appTerm 1118 ref appTerm 1705 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 1670 remove 1671 remove 1167 ref cons nil cons cons nil cons cons 1677 remove subst eqMp nil 399 ref 42 ref 1704 remove appTerm 1705 remove appTerm nil cons cons 1702 remove cons nil cons cons 459 ref subst proveHyp nil "_2220" 14 ref var 1706 def 1118 ref nil cons 1707 def cons "_2218" 14 ref var 1708 def 1697 ref nil cons 1709 def cons "_2219" 14 ref var 1710 def 1026 ref cons "_2217" 14 ref var 1711 def 1026 ref cons nil cons cons cons cons nil cons cons nil "b" 2 ref var 1712 def 1486 ref 77 ref 180 ref 1711 remove varTerm 1713 def appTerm 1710 remove varTerm 1714 def appTerm 1715 def appTerm 1716 def appTerm 1717 def 77 ref 180 ref 1708 remove varTerm 1718 def appTerm 1706 remove varTerm 1719 def appTerm 1720 def appTerm 1721 def appTerm nil cons cons "a" 2 ref var 1722 def 180 ref 187 ref 1713 remove appTerm 1718 remove appTerm appTerm 187 ref 1714 remove appTerm 1719 remove appTerm appTerm 1723 def nil cons 1724 def cons nil cons cons nil cons cons nil 399 ref 129 ref 1722 ref varTerm 1725 def appTerm 1726 def 1407 ref appTerm 1727 def nil cons 1728 def cons 1729 def 400 ref 129 ref 1486 ref 1725 ref appTerm 1712 ref varTerm 1730 def appTerm 1731 def appTerm 41 ref 77 ref 1730 ref appTerm 1732 def appTerm 1733 def 1725 ref appTerm appTerm nil cons 1734 def cons nil cons 1735 def cons nil cons cons 1736 def 416 ref subst 1736 remove 467 ref subst 129 ref "_606" 2 ref var 1737 def 129 ref 1486 ref 1737 remove varTerm 1738 def appTerm 1730 ref appTerm appTerm 1733 ref 1738 remove appTerm appTerm absTerm 1739 def 1725 ref appTerm 1740 def appTerm refl 1741 def 1739 ref 1407 ref appTerm betaConv appThm 439 ref 1740 remove betaConv appThm 1742 def 129 ref 1537 ref 1730 ref appTerm 1743 def appTerm 1733 ref 1407 ref appTerm appTerm refl appThm trans 1739 remove refl 1744 def 1727 remove assume 1745 def appThm eqMp sym 439 ref nil 150 ref 1730 ref nil cons 1746 def cons nil cons nil cons cons 1747 def 1541 ref subst 1748 def appThm nil 150 ref 1732 ref nil cons 1749 def cons nil cons nil cons cons 1750 def 1412 ref subst 1747 ref 1416 ref subst trans appThm nil 611 ref 1746 remove cons nil cons 1751 def nil cons cons 1420 ref subst 1752 def trans sym 154 ref eqMp eqMp eqMp nil 435 ref 1728 ref cons 1753 def 437 ref 1734 ref cons nil cons 1754 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 1726 ref 140 ref appTerm 1755 def nil cons 1756 def cons 1757 def 1735 remove cons nil cons cons 1758 def 416 ref subst 1758 remove 467 ref subst 1741 remove "_604" 2 ref var 1759 def 129 ref 1486 ref 1759 remove varTerm 1760 def appTerm 1730 ref appTerm appTerm 1733 ref 1760 remove appTerm appTerm absTerm 140 ref appTerm betaConv appThm 1742 remove 129 ref 1513 ref 1730 ref appTerm 1761 def appTerm 1733 remove 140 ref appTerm appTerm refl appThm trans 1744 remove 1755 remove assume 1762 def appThm eqMp sym 439 ref 1747 ref 1517 ref subst 1763 def appThm 1750 ref 150 ref 129 ref 1406 ref 140 ref appTerm appTerm 140 ref appTerm absTerm 1764 def 151 ref appTerm 1765 def betaConv nil 607 ref 1764 ref appTerm 1766 def axiom nil 399 ref 1766 remove nil cons cons 400 ref 1765 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1764 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1767 def subst appThm 1523 ref trans sym 154 ref eqMp eqMp eqMp nil 435 ref 1756 remove cons 1768 def 1754 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 1725 ref appTerm 1769 def betaConv 1548 ref nil 1549 ref 400 ref 1769 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 1725 ref nil cons 1770 def cons nil cons 1771 def cons nil cons cons 469 ref subst eqMp eqMp 1772 def nil 1768 ref 437 ref 1728 remove cons 1773 def 1553 ref 1734 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp 1774 def subst 165 ref nil 1712 ref 1721 ref nil cons 1775 def cons 1722 ref 1716 remove nil cons 1776 def cons nil cons cons nil cons cons nil 1729 ref 400 ref 129 ref 77 ref 1731 remove appTerm appTerm 42 ref 77 ref 1725 ref appTerm 1777 def appTerm 1732 ref appTerm appTerm nil cons 1778 def cons nil cons 1779 def cons nil cons cons 1780 def 416 ref subst 1780 remove 467 ref subst 129 ref "_610" 2 ref var 1781 def 129 ref 77 ref 1486 ref 1781 remove varTerm 1782 def appTerm 1730 ref appTerm appTerm appTerm 42 ref 77 ref 1782 remove appTerm appTerm 1732 ref appTerm appTerm absTerm 1783 def 1725 ref appTerm 1784 def appTerm refl 1785 def 1783 ref 1407 ref appTerm betaConv appThm 439 ref 1784 remove betaConv appThm 1786 def 129 ref 77 ref 1743 remove appTerm appTerm 42 ref 1499 ref appTerm 1787 def 1732 ref appTerm appTerm refl appThm trans 1783 remove refl 1788 def 1745 ref appThm eqMp sym 439 ref 620 ref 1748 ref appThm appThm 625 ref 1507 ref appThm 1789 def 1732 ref refl 1790 def appThm 1750 ref 633 ref subst trans appThm nil 611 ref 1749 remove cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp eqMp eqMp nil 1753 ref 437 ref 1778 ref cons nil cons 1791 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 1757 ref 1779 remove cons nil cons cons 1792 def 416 ref subst 1792 remove 467 ref subst 1785 remove "_608" 2 ref var 1793 def 129 ref 77 ref 1486 ref 1793 remove varTerm 1794 def appTerm 1730 ref appTerm appTerm appTerm 42 ref 77 ref 1794 remove appTerm appTerm 1732 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 1786 remove 129 ref 77 ref 1761 remove appTerm appTerm 42 ref 1532 ref appTerm 1795 def 1732 ref appTerm appTerm refl appThm trans 1788 remove 1762 ref appThm eqMp sym 439 ref 620 ref 1763 ref appThm 1535 ref trans appThm 625 ref 1535 ref appThm 1796 def 1790 remove appThm 1750 remove 1506 ref subst trans appThm nil 150 ref 1424 ref cons nil cons nil cons cons 1797 def 150 ref 129 ref 129 ref 1407 ref appTerm 1798 def 151 ref appTerm appTerm 1408 ref appTerm absTerm 1799 def 151 ref appTerm 1800 def betaConv nil 607 ref 1799 ref appTerm 1801 def axiom nil 399 ref 1801 remove nil cons cons 400 ref 1800 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1799 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1802 def subst 1507 ref trans 1803 def trans sym 154 ref eqMp eqMp eqMp nil 1768 ref 1791 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1772 ref nil 1768 ref 1773 ref 1553 ref 1778 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp 1804 def subst 625 ref nil 1722 ref 1715 ref nil cons 1805 def cons nil cons 1806 def nil cons cons nil 150 ref 1770 remove cons nil cons nil cons cons 1416 ref subst 1807 def subst appThm nil 1722 ref 1720 ref nil cons 1808 def cons nil cons 1809 def nil cons cons 1807 ref subst appThm trans appThm 1723 ref refl appThm trans 1717 remove refl nil 400 ref 1724 ref cons 1810 def 399 ref 1775 ref cons nil cons cons nil cons cons nil "t2" 2 ref var 1811 def 431 ref cons "t1" 2 ref var 1812 def 428 ref cons nil cons cons 1813 def nil cons cons 1811 ref 129 ref 1486 ref 1812 ref varTerm 1814 def appTerm 1815 def 1811 ref varTerm 1816 def appTerm 1817 def appTerm 1486 ref 1816 ref appTerm 1818 def 1814 ref appTerm appTerm absTerm 1819 def 1816 ref appTerm 1820 def betaConv 1812 ref 607 ref 1819 ref appTerm 1821 def absTerm 1822 def 1814 ref appTerm 1823 def betaConv nil 607 ref 1822 ref appTerm 1824 def axiom nil 399 ref 1824 remove nil cons cons 400 ref 1823 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1822 remove nil cons cons 611 ref 1814 ref nil cons cons nil cons 1825 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1821 remove nil cons cons 400 ref 1820 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1819 remove nil cons cons 611 ref 1816 ref nil cons cons nil cons 1826 def cons nil cons cons 469 ref subst eqMp eqMp subst 1827 def subst appThm nil 1559 ref 1775 remove cons 1810 ref 399 ref 1776 remove cons nil cons cons cons nil cons cons 439 ref nil "t3" 2 ref var 1828 def 1560 ref nil cons 1829 def cons 1830 def 1813 remove cons nil cons cons 1828 ref 129 ref 1815 remove 1818 remove 1828 ref varTerm 1831 def appTerm appTerm 1832 def appTerm 1486 ref 1817 ref appTerm 1831 ref appTerm 1833 def appTerm 1834 def absTerm 1835 def 1831 ref appTerm 1836 def betaConv 1811 ref 607 ref 1835 ref appTerm 1837 def absTerm 1838 def 1816 ref appTerm 1839 def betaConv 1812 ref 607 ref 1838 ref appTerm 1840 def absTerm 1841 def 1814 ref appTerm 1842 def betaConv 607 ref refl 1843 def 1812 ref 1843 ref 1811 ref 1843 ref 1828 ref 1834 remove assume sym 129 ref 1833 remove appTerm 1832 remove appTerm 1844 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 607 ref 1812 ref 607 ref 1811 ref 607 ref 1828 ref 1844 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 607 ref 1841 ref appTerm nil cons cons 400 ref 1842 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1841 remove nil cons cons 1825 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1840 remove nil cons cons 400 ref 1839 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1838 remove nil cons cons 1826 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1837 remove nil cons cons 400 ref 1836 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1835 remove nil cons cons 611 ref 1831 ref nil cons cons nil cons 1845 def cons nil cons cons 469 ref subst eqMp eqMp 1846 def subst appThm nil 1830 remove 1811 ref 428 ref cons 1812 ref 431 ref cons nil cons cons cons nil cons cons 1846 remove subst appThm sym 1508 ref 1827 ref appThm 1560 ref refl appThm eqMp 1847 def subst trans nil 1712 ref 1486 ref 1721 remove appTerm 1723 remove appTerm nil cons 1848 def cons 1806 remove cons nil cons cons nil 1729 ref 400 ref 129 ref 41 ref 1725 ref appTerm 1730 ref appTerm 1849 def appTerm 1486 ref 1777 remove appTerm 1730 ref appTerm appTerm nil cons 1850 def cons nil cons 1851 def cons nil cons cons 1852 def 416 ref subst 1852 remove 467 ref subst 129 ref "_630" 2 ref var 1853 def 129 ref 41 ref 1853 remove varTerm 1854 def appTerm 1730 ref appTerm appTerm 1486 ref 77 ref 1854 remove appTerm appTerm 1730 ref appTerm appTerm absTerm 1855 def 1725 ref appTerm 1856 def appTerm refl 1857 def 1855 ref 1407 ref appTerm betaConv appThm 439 ref 1856 remove betaConv appThm 1858 def 129 ref 41 ref 1407 ref appTerm 1859 def 1730 ref appTerm 1860 def appTerm 1500 ref 1730 ref appTerm appTerm refl appThm trans 1855 remove refl 1861 def 1745 ref appThm eqMp sym 439 ref 1747 ref 150 ref 129 ref 1859 ref 151 ref appTerm appTerm 140 ref appTerm absTerm 1862 def 151 ref appTerm 1863 def betaConv nil 607 ref 1862 ref appTerm 1864 def axiom nil 399 ref 1864 remove nil cons cons 400 ref 1863 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1862 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1865 def subst appThm 1509 ref 1730 ref refl 1866 def appThm 1763 remove trans appThm 1523 ref trans sym 154 ref eqMp eqMp eqMp nil 1753 ref 437 ref 1850 ref cons nil cons 1867 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 1757 ref 1851 remove cons nil cons cons 1868 def 416 ref subst 1868 remove 467 ref subst 1857 remove "_628" 2 ref var 1869 def 129 ref 41 ref 1869 remove varTerm 1870 def appTerm 1730 ref appTerm appTerm 1486 ref 77 ref 1870 remove appTerm appTerm 1730 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 1858 remove 129 ref 604 ref 1730 ref appTerm 1871 def appTerm 1533 ref 1730 ref appTerm appTerm refl appThm trans 1861 remove 1762 ref appThm eqMp sym 439 ref 1747 ref 614 ref subst 1872 def appThm 1536 ref 1866 remove appThm 1748 remove trans appThm 1752 remove trans sym 154 ref eqMp eqMp eqMp nil 1768 ref 1867 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1772 ref nil 1768 ref 1773 ref 1553 ref 1850 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp 1873 def subst nil 399 ref 1805 ref cons 400 ref 1848 ref cons nil cons cons nil cons cons 1874 def 416 ref subst 1874 remove 467 ref subst nil 1712 ref 1724 ref cons 1809 remove cons nil cons cons 1873 remove subst nil 399 ref 1808 ref cons 1810 remove nil cons cons nil cons cons 1875 def 416 ref subst 1875 remove 467 ref subst 1368 ref 1715 remove assume appThm 1720 remove assume appThm eqMp nil 435 ref 1808 remove cons 437 ref 1724 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 1805 remove cons 437 ref 1848 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp subst eqMp eqMp nil 399 ref 42 ref 1700 remove appTerm 1701 remove appTerm nil cons cons 1682 remove cons nil cons cons 459 ref subst proveHyp nil "z" 14 ref var 1876 def 1390 remove nil cons cons 1877 def "y" 14 ref var 1878 def 1678 remove nil cons 1879 def cons 475 ref 1698 remove nil cons cons nil cons cons cons nil cons cons nil 1712 ref 1486 ref 77 ref 180 ref 689 ref appTerm 1880 def 1878 ref varTerm 1881 def appTerm 1882 def appTerm 1883 def appTerm 1884 def 77 ref 1880 ref 1876 ref varTerm 1885 def appTerm 1886 def appTerm 1887 def appTerm nil cons cons 1722 ref 180 ref 1881 ref appTerm 1888 def 1885 remove appTerm 1889 def nil cons 1890 def cons nil cons cons nil cons cons 1774 ref subst 165 ref nil 1712 ref 1887 remove nil cons 1891 def cons 1722 ref 1883 remove nil cons 1892 def cons nil cons cons nil cons cons 1804 remove subst 625 ref nil 1722 ref 1882 remove nil cons cons nil cons nil cons cons 1807 ref subst appThm nil 1722 ref 1886 remove nil cons cons nil cons nil cons cons 1807 remove subst appThm trans appThm 1889 remove refl appThm trans 1884 remove refl nil 400 ref 1890 remove cons 1893 def 399 ref 1891 ref cons nil cons cons nil cons cons 1827 ref subst appThm nil 1559 ref 1891 remove cons 1893 remove 399 ref 1892 remove cons nil cons cons cons nil cons cons 1847 remove subst trans 163 ref nil 399 ref 77 ref 1279 ref "y" 130 ref var 1894 def varTerm 1895 def appTerm 1896 def appTerm 1897 def nil cons 1898 def cons 1899 def 400 ref 1486 ref 1897 remove appTerm 1486 ref 77 ref 1279 ref "z" 130 ref var 1900 def varTerm 1901 def appTerm 1902 def appTerm appTerm 1278 ref 1895 ref appTerm 1903 def 1901 ref appTerm 1904 def appTerm 1905 def appTerm nil cons 1906 def cons nil cons 1907 def cons nil cons cons 1908 def 416 ref subst 1908 remove 467 ref subst 1508 ref 620 ref nil 1899 remove 400 ref 129 ref 1896 ref appTerm 1909 def 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 1896 ref nil cons 1910 def cons 1911 def nil cons nil cons cons nil 399 ref 77 ref 440 ref appTerm 1912 def nil cons 1913 def cons 400 ref 129 ref 440 ref appTerm 1407 ref appTerm nil cons 1914 def cons nil cons cons nil cons cons 1915 def 416 ref subst 1915 remove 467 ref subst nil 399 ref 440 ref nil cons 1916 def cons 1917 def 1425 ref cons nil cons cons 685 remove nil 399 ref 682 ref cons 1918 def 400 ref 1566 ref 401 ref appTerm nil cons 1919 def cons nil cons cons nil cons cons 467 ref subst proveHyp 1566 remove refl 684 remove appThm sym nil 399 ref 431 ref cons 1920 def 400 ref 431 ref cons nil cons cons nil cons cons 1921 def 416 ref subst 1921 remove 467 ref subst 433 remove eqMp nil 435 ref 431 ref cons 438 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 1920 ref 400 ref 428 remove cons nil cons cons nil cons cons 459 ref subst nil 435 ref 682 remove cons 1922 def 437 ref 1919 remove cons nil cons cons nil cons cons 1923 def 515 ref subst eqMp 459 ref 1923 remove 451 ref subst eqMp deductAntisym deductAntisym 1924 def subst 129 ref 1912 ref appTerm refl 399 ref 402 remove 1407 ref appTerm absTerm 1925 def 440 ref appTerm betaConv appThm nil 424 remove 77 ref appTerm 1925 remove appTerm axiom 449 remove appThm eqMp 1926 def 1912 remove assume eqMp nil 399 ref 1558 ref 1407 ref appTerm nil cons cons 400 ref 1859 ref 440 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 1424 ref cons 400 ref 1916 ref cons nil cons cons nil cons cons 1927 def 416 ref subst 1927 remove 467 ref subst 399 ref 401 ref absTerm 1928 def 440 remove appTerm 1929 def betaConv nil 1798 ref 607 ref 1928 ref appTerm 1930 def appTerm axiom 1407 ref assume eqMp nil 399 ref 1930 remove nil cons cons 400 ref 1929 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1928 remove nil cons cons 611 ref 1916 ref cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 1931 def eqMp nil 435 ref 1424 ref cons 437 ref 1916 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 435 ref 1913 remove cons 437 ref 1914 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp 1932 def subst eqMp appThm 1507 ref trans appThm 1905 ref refl appThm nil 150 ref 1905 remove nil cons cons nil cons nil cons cons 1517 ref subst trans sym 154 ref eqMp eqMp nil 435 ref 1898 ref cons 437 ref 1906 ref cons nil cons 1933 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 1910 ref cons 1907 remove cons nil cons cons 1934 def 416 ref subst 1934 remove 467 ref subst 1508 ref 620 ref 1278 ref refl 1896 ref assume appThm 1935 def 1895 ref refl appThm nil 139 ref 1895 ref nil cons cons nil cons 1936 def nil cons cons 1280 ref subst trans appThm 1535 ref trans appThm 1508 ref 620 ref 1935 remove 1901 ref refl appThm appThm appThm 1904 ref refl appThm appThm nil 150 ref 1486 ref 77 ref 1904 ref appTerm appTerm 1904 ref appTerm nil cons 1937 def cons nil cons nil cons cons 1541 ref subst trans sym nil 399 ref 129 ref 1904 ref appTerm 1938 def 1407 ref appTerm 1939 def nil cons 1940 def cons 400 ref 1937 ref cons nil cons 1941 def cons nil cons cons 1942 def 416 ref subst 1942 remove 467 ref subst 129 ref "_626" 2 ref var 1943 def 1486 ref 77 ref 1943 remove varTerm 1944 def appTerm appTerm 1944 remove appTerm absTerm 1945 def 1904 ref appTerm 1946 def appTerm refl 1947 def 1945 ref 1407 ref appTerm betaConv appThm 439 ref 1946 remove betaConv appThm 1948 def 1500 ref 1407 ref appTerm refl appThm trans 1945 remove refl 1949 def 1939 remove assume appThm eqMp sym nil 150 ref 1499 remove nil cons cons nil cons nil cons cons 150 ref 129 ref 1486 ref 151 ref appTerm 1950 def 1407 ref appTerm appTerm 151 ref appTerm absTerm 1951 def 151 ref appTerm 1952 def betaConv nil 607 ref 1951 ref appTerm 1953 def axiom nil 399 ref 1953 remove nil cons cons 400 ref 1952 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1951 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1954 def subst 1507 ref trans sym 154 ref eqMp eqMp eqMp nil 435 ref 1940 ref cons 437 ref 1937 ref cons nil cons 1955 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 1938 remove 140 ref appTerm 1956 def nil cons 1957 def cons 1941 remove cons nil cons cons 1958 def 416 ref subst 1958 remove 467 ref subst 1947 remove "_624" 2 ref var 1959 def 1486 ref 77 ref 1959 remove varTerm 1960 def appTerm appTerm 1960 remove appTerm absTerm 140 ref appTerm betaConv appThm 1948 remove 1533 ref 140 ref appTerm refl appThm trans 1949 remove 1956 remove assume appThm eqMp sym nil 150 ref 1532 remove nil cons cons nil cons nil cons cons 150 ref 129 ref 1950 ref 140 ref appTerm appTerm 140 ref appTerm absTerm 1961 def 151 ref appTerm 1962 def betaConv nil 607 ref 1961 ref appTerm 1963 def axiom nil 399 ref 1963 remove nil cons cons 400 ref 1962 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1961 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 1964 def subst sym 154 ref eqMp eqMp eqMp nil 435 ref 1957 remove cons 1965 def 1955 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 1904 ref appTerm 1966 def betaConv 1548 ref nil 1549 ref 400 ref 1966 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 1904 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 1965 remove 437 ref 1940 remove cons 1553 ref 1937 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 1911 ref 1933 remove cons nil cons cons 451 ref subst deductAntisym eqMp 150 ref 1950 ref 1408 ref appTerm absTerm 1967 def 1896 ref appTerm 1968 def betaConv nil 607 ref 1967 ref appTerm 1969 def axiom 1970 def nil 399 ref 1969 remove nil cons cons 1971 def 400 ref 1968 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 1967 ref nil cons cons 1972 def 611 ref 1910 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 1911 remove 437 ref 1898 remove cons 1553 ref 1906 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp 1973 def subst eqMp eqMp nil 399 ref 42 ref 1680 remove appTerm 1681 remove appTerm nil cons cons 400 ref 1391 remove nil cons 1974 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1877 remove 1878 ref 1137 ref nil cons 1975 def cons 475 ref 1879 remove cons nil cons cons cons nil cons cons 1973 ref subst eqMp nil 399 ref 1974 ref cons 1976 def 1425 ref cons nil cons cons 459 ref subst proveHyp nil 1976 remove nil cons nil cons cons 129 ref 1404 ref appTerm refl 429 remove 1412 ref subst appThm nil 611 ref 1405 remove cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp 1977 def subst 1606 remove assume eqMp eqMp eqMp nil 435 ref 1667 ref cons 437 ref 1424 ref cons nil cons 1978 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 1601 ref nil cons 1979 def cons 1425 ref cons nil cons cons 1980 def 416 ref subst 1980 remove 467 ref subst nil "_2203" 14 ref var 1981 def 1167 ref cons "_2202" 14 ref var 1982 def 1026 ref cons "_2201" 14 ref var 1983 def 1024 ref cons nil cons cons cons nil cons cons 1116 ref 180 ref 187 ref 1983 remove varTerm 1984 def appTerm 1985 def 187 ref 1982 remove varTerm 1986 def appTerm 1117 ref appTerm appTerm appTerm 187 ref 1985 ref 1986 ref appTerm appTerm 1117 ref appTerm appTerm absTerm 1987 def 1981 remove varTerm 1988 def appTerm 1989 def betaConv 1003 ref 17 ref 1116 ref 180 ref 1985 ref 1120 ref appTerm appTerm 187 ref 1985 remove 1011 ref appTerm appTerm 1117 ref appTerm appTerm absTerm appTerm absTerm 1990 def 1986 ref appTerm 1991 def betaConv 1156 ref 1984 ref appTerm 1992 def betaConv nil 1428 ref 400 ref 1992 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 1695 ref 475 ref 1984 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 1990 ref appTerm nil cons cons 400 ref 1991 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1990 remove nil cons cons 475 ref 1986 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 1987 ref appTerm nil cons cons 400 ref 1989 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1987 remove nil cons cons 475 ref 1988 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp subst nil 399 ref 1151 ref nil cons cons 400 ref 1150 remove 1137 remove appTerm 1993 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 475 ref 1975 ref cons nil cons 1994 def nil cons cons 689 ref refl 1995 def subst eqMp nil 399 ref 42 ref 1151 remove appTerm 1993 remove appTerm nil cons cons 400 ref 1138 remove nil cons 1996 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1876 ref 1975 remove cons 1878 ref 1136 remove nil cons cons 1994 remove cons cons nil cons cons 1973 ref subst eqMp nil 399 ref 1996 ref cons 1997 def 1425 ref cons nil cons cons 459 ref subst proveHyp nil 1997 remove nil cons nil cons cons 1977 ref subst 1601 remove assume eqMp eqMp eqMp nil 435 ref 1979 remove cons 1998 def 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 1998 remove 437 ref 1667 remove cons 1553 ref 1424 ref cons nil cons 1999 def cons cons nil cons cons 1571 ref subst proveHyp proveHyp eqMp nil 435 ref 1665 ref cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 1636 remove 1425 ref cons nil cons cons 2000 def 416 ref subst 2000 remove 467 ref subst nil "_2195" 14 ref var 2001 def 1026 ref cons "_2194" 14 ref var 2002 def 1024 ref cons nil cons cons nil cons cons 1003 ref 180 ref 187 ref 2002 remove varTerm 2003 def appTerm 1011 ref appTerm appTerm 1083 ref 2003 ref appTerm appTerm absTerm 2004 def 2001 remove varTerm 2005 def appTerm 2006 def betaConv 1199 ref 2003 ref appTerm 2007 def betaConv nil 1205 ref 400 ref 2007 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 1207 ref 475 ref 2003 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 2004 ref appTerm nil cons cons 400 ref 2006 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2004 remove nil cons cons 475 ref 2005 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp subst nil 399 ref 1456 ref cons 2008 def 1425 ref cons nil cons cons 459 ref subst proveHyp nil 2008 remove nil cons nil cons cons 1977 ref subst 1598 remove assume eqMp eqMp eqMp nil 435 ref 1635 remove cons 2009 def 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 2009 remove 437 ref 1665 remove cons 1999 ref cons cons nil cons cons 1571 ref subst proveHyp proveHyp eqMp nil 435 ref 1663 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 1661 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 1645 ref 689 ref appTerm appTerm 1407 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 1646 remove appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1645 remove nil cons cons 1978 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 1657 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 1647 ref 689 ref appTerm appTerm 1407 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 1648 remove appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1647 remove nil cons cons 1978 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 1653 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 1649 ref 689 ref appTerm appTerm 1407 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 1650 remove appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1649 remove nil cons cons 1978 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 1427 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 1204 remove cons 2010 def 437 ref 1481 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 1477 remove cons 437 ref 1479 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 1422 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 1402 remove 400 ref 1400 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1399 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1398 remove nil cons cons 400 ref 1397 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1396 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1395 remove nil cons cons 400 ref 1394 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1393 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp nil 435 ref 1456 remove cons 437 ref 1392 remove nil cons cons nil cons cons nil cons cons 515 ref subst proveHyp nil 435 ref 1996 remove cons 437 ref 1974 remove cons nil cons cons nil cons cons 515 ref subst proveHyp subst appThm trans appThm nil 475 ref 1016 ref 1016 ref 1269 ref appTerm appTerm nil cons cons nil cons nil cons cons 1281 ref subst trans absThm appThm 1099 ref trans absThm appThm 1099 ref trans 2011 def appThm 2012 def 2012 remove nil 150 ref 17 ref 1006 ref 17 ref 1003 ref 180 ref 1382 remove appTerm 1381 remove appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 150 ref 129 ref 1101 ref 151 ref appTerm appTerm 151 ref appTerm absTerm 2013 def 151 ref appTerm 2014 def betaConv nil 607 ref 2013 ref appTerm 2015 def axiom nil 399 ref 2015 remove nil cons cons 400 ref 2014 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 2013 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 2016 def subst 2011 remove trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans sym 154 ref eqMp eqMp nil 435 ref 17 ref 1006 ref 17 ref 1003 ref 1256 remove absTerm appTerm absTerm appTerm nil cons cons 437 ref 42 ref 180 ref 1283 remove appTerm 191 ref appTerm 2017 def appTerm 42 ref 17 ref 1003 ref 180 ref 1259 ref 1249 ref appTerm appTerm 1249 ref appTerm absTerm appTerm 2018 def appTerm 42 ref 17 ref 1003 ref 180 ref 1259 ref 1343 ref appTerm appTerm 1343 ref appTerm absTerm appTerm 2019 def appTerm 42 ref 17 ref 1003 ref 180 ref 187 ref 1249 ref appTerm 191 ref appTerm appTerm 1249 ref appTerm absTerm appTerm 2020 def appTerm 42 ref 17 ref 1003 ref 180 ref 187 ref 1343 ref appTerm 191 ref appTerm appTerm 1343 ref appTerm absTerm appTerm 2021 def appTerm 42 ref 17 ref 1006 ref 17 ref 1003 ref 180 ref 187 ref 206 ref 1009 ref appTerm appTerm 2022 def 1249 remove appTerm appTerm 206 ref 1134 ref appTerm appTerm absTerm 2023 def appTerm 2024 def absTerm 2025 def appTerm 2026 def appTerm 42 ref 17 ref 1006 ref 17 ref 1003 ref 180 ref 2022 remove 1343 ref appTerm appTerm 1250 remove appTerm absTerm 2027 def appTerm 2028 def absTerm 2029 def appTerm 2030 def appTerm 42 ref 17 ref 1254 ref appTerm 2031 def appTerm 17 ref 1006 ref 17 ref 1003 ref 180 ref 1248 remove 1343 ref appTerm appTerm 206 ref 1306 ref appTerm appTerm absTerm 2032 def appTerm 2033 def absTerm 2034 def appTerm 2035 def appTerm 2036 def appTerm 2037 def appTerm 2038 def appTerm 2039 def appTerm 2040 def appTerm 2041 def appTerm 2042 def appTerm nil cons cons nil cons cons nil cons cons 515 ref subst proveHyp nil 435 ref 2017 remove nil cons cons 437 ref 2042 remove nil cons cons nil cons cons nil cons cons 515 ref subst proveHyp nil 435 ref 2018 remove nil cons cons 437 ref 2041 remove nil cons cons nil cons cons nil cons cons 515 ref subst proveHyp nil 435 ref 2019 remove nil cons cons 437 ref 2040 remove nil cons cons nil cons cons nil cons cons 515 ref subst proveHyp nil 435 ref 2020 remove nil cons cons 437 ref 2039 remove nil cons cons nil cons cons nil cons cons 515 ref subst proveHyp nil 435 ref 2021 remove nil cons cons 437 ref 2038 remove nil cons cons nil cons cons nil cons cons 515 ref subst proveHyp 2043 def nil 435 ref 2026 remove nil cons 2044 def cons 437 ref 2037 remove nil cons cons nil cons cons nil cons cons 2045 def 515 ref subst proveHyp 2046 def nil 435 ref 2030 remove nil cons 2047 def cons 437 ref 2036 remove nil cons cons nil cons cons nil cons cons 2048 def 515 ref subst proveHyp 2049 def nil 435 ref 2031 remove nil cons 2050 def cons 437 ref 2035 remove nil cons 2051 def cons nil cons cons nil cons cons 2052 def 451 ref subst proveHyp nil 399 ref 2050 remove cons 400 ref 1255 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1254 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1253 remove nil cons cons 400 ref 1252 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1251 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst 190 remove refl 2053 def 1258 ref 1345 remove subst 2054 def appThm trans 2055 def appThm trans appThm trans appThm trans appThm trans eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 399 ref 1060 ref nil cons cons 2056 def 400 ref 41 ref 1064 ref appTerm 1037 ref appTerm 2057 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 1064 ref nil cons 2058 def cons 1039 remove cons nil cons cons 2059 def 416 ref subst 2059 remove 467 ref subst 129 ref "_48338" 2 ref var 2060 def 129 ref 2060 remove varTerm appTerm 752 ref appTerm absTerm 2061 def 1035 remove appTerm 2062 def appTerm refl 2061 ref 1063 ref appTerm betaConv appThm 439 ref 2062 remove betaConv appThm 129 ref 1063 remove appTerm 752 ref appTerm refl appThm trans 2061 remove refl 1064 remove assume appThm eqMp sym 439 ref nil 1116 ref 1062 remove nil cons cons 1003 ref 1089 ref cons 2063 def nil cons cons nil cons cons 1116 ref 129 ref 1179 ref appTerm 180 ref 747 ref 1011 ref appTerm appTerm 747 ref 1117 ref appTerm appTerm 2064 def appTerm 2065 def absTerm 2066 def 1117 ref appTerm 2067 def betaConv 1003 ref 17 ref 2066 ref appTerm 2068 def absTerm 2069 def 1011 ref appTerm 2070 def betaConv 603 ref 1003 ref 603 ref 1116 ref 2065 remove assume sym 129 ref 2064 remove appTerm 1179 ref appTerm assume sym deductAntisym absThm appThm absThm appThm 1186 remove 68 ref appTerm 2071 def betaConv 1189 remove nil 1190 remove 400 ref 2071 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 1191 remove 492 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp nil 399 ref 17 ref 2069 ref appTerm nil cons cons 400 ref 2070 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2069 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2068 remove nil cons cons 400 ref 2067 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2066 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 1002 remove appThm sym 439 ref 748 ref refl 2072 def nil 1116 ref 1236 ref cons 2073 def 1003 ref 1088 remove cons 1008 ref cons 2074 def cons nil cons cons 1152 ref 1117 ref appTerm 2075 def betaConv 1154 ref 1011 ref appTerm 2076 def betaConv 1156 remove 1009 ref appTerm 2077 def betaConv 1158 remove nil 1428 remove 400 ref 2077 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 1695 remove 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1155 remove nil cons cons 400 ref 2076 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1154 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1153 remove nil cons cons 400 ref 2075 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1152 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 2078 def subst appThm appThm 2072 ref nil 1116 ref 749 remove nil cons 2079 def cons 2080 def 1003 ref 482 ref cons 2081 def 1221 ref cons 2082 def cons nil cons cons 2083 def 2078 ref subst nil 1116 ref 208 ref nil cons 2084 def cons 2085 def 1003 ref 486 ref cons 2086 def 1006 ref 699 ref 61 ref appTerm 2087 def nil cons 2088 def cons nil cons cons 2089 def cons nil cons cons 2090 def 2078 ref subst nil 1219 ref 1003 ref 1238 ref cons 2091 def 1006 ref 187 ref 2087 ref appTerm 2092 def 64 ref appTerm 2093 def nil cons 2094 def cons nil cons 2095 def cons 2096 def cons nil cons cons 2097 def 2078 ref subst 2098 def trans trans 2099 def appThm appThm sym 439 ref 2072 ref 1368 ref 1218 ref appThm 192 ref refl 2100 def appThm appThm appThm 748 remove 187 ref 187 ref 2093 remove appTerm 2101 def 188 ref appTerm 2102 def appTerm 2103 def 207 ref appTerm 2104 def appTerm refl appThm sym 439 ref 2072 ref nil 2073 ref 1222 ref cons nil cons cons 1169 ref subst 1223 ref nil 2073 ref 1228 ref cons nil cons cons 1169 ref subst 1229 ref nil 2073 ref 1234 ref cons nil cons cons 1169 ref subst 1235 ref nil 2073 ref 1241 ref cons nil cons cons 2105 def 1169 ref subst 2106 def 1243 ref nil 1257 ref 1246 remove cons nil cons cons 2032 ref 1011 ref appTerm 2107 def betaConv 2034 ref 1009 ref appTerm 2108 def betaConv 2049 remove 2052 remove 515 ref subst proveHyp nil 399 ref 2051 remove cons 400 ref 2108 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2034 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2033 remove nil cons cons 400 ref 2107 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2032 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 2109 def subst 206 ref refl 2110 def 1301 ref 1265 ref appThm 625 ref 603 ref 1003 ref nil 475 ref 1302 remove cons nil cons nil cons cons 1281 ref subst absThm appThm 1099 ref trans appThm 625 ref 180 ref 1285 ref 191 ref appTerm 2111 def appTerm 2112 def refl 1258 ref 1349 remove subst 1301 ref 1275 remove appThm 2113 def trans 2114 def appThm nil 475 ref 2111 ref nil cons 2115 def cons nil cons nil cons cons 1281 ref subst trans appThm 625 ref 603 ref 1003 ref 1131 ref 1350 remove appThm 1351 ref appThm nil 475 ref 1385 remove cons nil cons nil cons cons 1281 ref subst trans absThm appThm 1099 ref trans appThm 603 ref 1003 ref 1131 ref 1301 ref 1351 remove appThm appThm nil 1303 remove nil cons nil cons cons 1342 remove subst 1314 remove trans 1325 remove trans appThm 1327 remove trans absThm appThm 1099 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans sym 154 ref eqMp nil 435 ref 17 ref 1003 ref 180 ref 1286 ref appTerm 2116 def 1286 ref appTerm absTerm appTerm nil cons cons 437 ref 42 ref 2112 remove 192 ref appTerm 2117 def appTerm 42 ref 17 ref 1003 ref 180 ref 1296 remove appTerm 1343 ref appTerm absTerm 2118 def appTerm 2119 def appTerm 17 ref 1003 ref 180 ref 1285 ref 1343 remove appTerm appTerm 1287 remove appTerm absTerm 2120 def appTerm 2121 def appTerm 2122 def appTerm nil cons cons nil cons cons nil cons cons 515 ref subst proveHyp 2123 def nil 435 ref 2117 remove nil cons cons 437 ref 2122 remove nil cons cons nil cons cons nil cons cons 2124 def 451 ref subst proveHyp 2125 def trans appThm trans 2126 def appThm 2127 def trans 2128 def appThm 2129 def trans appThm trans appThm trans 2130 def appThm appThm 2072 remove 2097 remove 1169 ref subst 2090 remove 1169 ref subst 2083 remove 1169 ref subst trans trans 2131 def appThm appThm nil 611 ref 752 ref nil cons cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 2058 ref cons 437 ref 1038 ref cons nil cons 2132 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 1060 remove appTerm 2057 remove appTerm nil cons cons 400 ref 41 ref 1065 remove appTerm 1037 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 1038 remove cons 400 ref 2058 remove cons 2056 remove nil cons cons cons nil cons cons nil 399 ref 406 ref 1567 ref appTerm nil cons 2133 def cons 400 ref 41 ref 404 ref appTerm 1560 remove appTerm nil cons 2134 def cons nil cons cons nil cons cons 2135 def 416 ref subst 2135 remove 467 ref subst nil 1918 remove 400 ref 1829 ref cons nil cons 2136 def cons nil cons cons 2137 def 416 ref subst 2137 remove 467 ref subst nil 436 remove 437 ref 1567 remove nil cons cons nil cons cons nil cons cons 2138 def 451 ref subst 459 ref proveHyp 453 remove eqMp nil 1920 remove 2136 remove cons nil cons cons 459 ref subst proveHyp 2138 remove 515 ref subst eqMp eqMp nil 1922 remove 437 ref 1829 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 2133 remove cons 437 ref 2134 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp 2139 def subst eqMp eqMp eqMp nil 435 ref 1051 remove cons 2140 def 2132 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 1045 remove cons 2141 def 2132 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 1032 ref 689 ref appTerm appTerm 2142 def 1037 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 1033 remove appTerm 2143 def 1037 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1032 remove nil cons cons 2144 def 2132 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 651 ref 437 ref 813 remove cons nil cons 2145 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 966 remove cons 2146 def 2145 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 962 remove cons 2147 def 2145 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 886 ref 653 ref appTerm appTerm 2148 def 753 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 887 remove appTerm 2149 def 753 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 886 remove nil cons cons 2150 def 2145 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 954 remove cons 2151 def 2145 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 888 ref 653 ref appTerm appTerm 2152 def 753 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 889 remove appTerm 2153 def 753 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 888 remove nil cons cons 2154 def 2145 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 946 remove cons 2155 def 2145 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 890 ref 653 ref appTerm appTerm 2156 def 753 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 891 remove appTerm 2157 def 753 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 890 remove nil cons cons 2158 def 2145 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 938 remove cons 2159 def 2145 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 892 ref 653 ref appTerm appTerm 2160 def 753 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 893 remove appTerm 2161 def 753 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 892 remove nil cons cons 2162 def 2145 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 930 remove cons 2163 def 2145 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 894 ref 653 ref appTerm appTerm 2164 def 753 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 895 remove appTerm 2165 def 753 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 894 remove nil cons cons 2166 def 2145 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 922 remove cons 2167 def 2145 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 896 ref 653 ref appTerm appTerm 2168 def 753 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 897 remove appTerm 2169 def 753 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 896 remove nil cons cons 2170 def 2145 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 914 remove cons 2171 def 2145 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 898 ref 589 ref appTerm appTerm 2172 def 753 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 899 remove appTerm 2173 def 753 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 898 remove nil cons cons 2174 def 2145 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 906 remove cons 2175 def 2145 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 900 ref 589 ref appTerm appTerm 2176 def 753 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 901 remove appTerm 2177 def 753 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 900 remove nil cons cons 2178 def 2145 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 830 remove cons 2179 def 2145 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 690 remove 753 ref appTerm absTerm appTerm nil cons cons 400 ref 691 ref 753 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 692 ref 2145 ref cons nil cons cons 688 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 812 remove cons 2145 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp 2180 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 2181 def eqMp absThm eqMp nil 17 ref 801 remove appTerm thm nil 160 ref 1003 ref 17 ref 168 ref 17 ref 475 ref 11 ref 12 ref 11 ref 13 ref 17 ref 1014 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 11 ref 19 ref 11 ref 20 ref 17 ref 38 ref 41 ref 42 ref 221 ref 188 ref appTerm 2182 def appTerm 2183 def 42 ref 77 ref 1015 ref 191 ref appTerm 2184 def appTerm 2185 def appTerm 2186 def 42 ref 698 ref "Number.Natural.Bits.width" const 184 ref constTerm 2187 def 689 ref appTerm 2188 def appTerm 2189 def 208 ref appTerm 2190 def appTerm 2191 def 42 ref 180 ref 187 ref 726 ref 728 ref 56 ref appTerm 2192 def 47 ref appTerm 2193 def appTerm 2194 def appTerm "Number.Natural.*" const 186 ref constTerm 2195 def 207 ref appTerm 2196 def 726 ref 728 ref 57 ref appTerm 2197 def 47 ref appTerm 2198 def appTerm 2199 def appTerm 2200 def appTerm 2201 def appTerm 2202 def 689 ref appTerm 2203 def appTerm 2204 def 42 ref 128 ref 0 ref 724 ref 0 ref 724 ref 3 ref cons opType 2205 def nil cons cons opType constTerm 2206 def 2192 ref 713 ref 1017 ref appTerm 2207 def appTerm appTerm 2208 def 2193 ref appTerm 2209 def appTerm 2210 def 42 ref 2206 ref 2197 ref 2207 ref appTerm appTerm 2211 def 2198 ref appTerm 2212 def appTerm 2213 def 42 ref 180 ref 726 ref 728 ref 70 ref appTerm 2214 def 2207 ref appTerm 2215 def appTerm appTerm 2216 def "Number.Natural.mod" const 186 ref constTerm 2217 def 738 ref 188 ref appTerm 2218 def appTerm 1011 ref appTerm 2219 def appTerm appTerm 42 ref 180 ref 726 ref 728 ref 71 ref appTerm 2220 def 2207 ref appTerm 2221 def appTerm appTerm 2222 def 2217 ref 2196 ref 2218 ref appTerm 2223 def appTerm 1011 ref appTerm 2224 def appTerm appTerm 42 ref 180 ref 726 ref 728 ref 72 ref appTerm 2225 def 2207 ref appTerm 2226 def appTerm appTerm 2227 def 2217 ref 2195 ref 732 ref appTerm 2228 def 2218 ref appTerm appTerm 1011 ref appTerm 2229 def appTerm appTerm 283 remove 56 ref appTerm 57 ref appTerm 2230 def 1017 ref appTerm 70 ref appTerm 71 ref appTerm 72 ref appTerm 59 ref appTerm 60 ref appTerm 2231 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 2232 def appTerm 180 ref 2217 ref 187 ref 726 ref 728 ref 59 ref appTerm 2233 def 2207 ref appTerm appTerm appTerm 2196 ref 726 ref 728 ref 60 ref appTerm 2234 def 2207 ref appTerm appTerm appTerm 2235 def appTerm appTerm 1011 ref appTerm appTerm 2217 ref 689 ref appTerm 1011 ref appTerm 2236 def appTerm 2237 def appTerm absTerm 2238 def appTerm 2239 def absTerm 2240 def appTerm 2241 def absTerm 2242 def appTerm 2243 def absTerm 2244 def appTerm 2245 def absTerm 2246 def appTerm 2247 def absTerm 2248 def appTerm 2249 def absTerm 2250 def appTerm 2251 def absTerm 2252 def appTerm 2253 def absTerm 2254 def appTerm 2255 def absTerm 2256 def appTerm 2257 def absTerm 2258 def appTerm 2259 def absTerm 2260 def nil cons cons 2261 def nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 2259 remove nil cons 2262 def cons nil cons nil cons cons 155 ref subst nil 160 ref 695 ref 17 ref 475 ref 11 ref 12 ref 11 ref 13 ref 17 ref 1014 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 11 ref 19 ref 11 ref 20 ref 17 ref 38 ref 41 ref 42 ref 221 ref 710 ref appTerm 2263 def appTerm 2264 def 2186 ref 42 ref 2189 ref 187 ref 710 ref appTerm 2265 def 207 ref appTerm appTerm 2266 def appTerm 2267 def 2204 ref 2210 ref 2213 ref 42 ref 2216 ref 2217 ref 738 ref 710 ref appTerm 2268 def appTerm 1011 ref appTerm appTerm 2269 def appTerm 2270 def 42 ref 2222 ref 2217 ref 2196 ref 2268 ref appTerm appTerm 1011 ref appTerm appTerm 2271 def appTerm 2272 def 42 ref 2227 ref 2217 ref 2228 ref 2268 ref appTerm appTerm 1011 ref appTerm appTerm 2273 def appTerm 2274 def 2231 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 2237 ref appTerm 2275 def absTerm 2276 def appTerm 2277 def absTerm 2278 def appTerm 2279 def absTerm 2280 def appTerm 2281 def absTerm 2282 def appTerm 2283 def absTerm 2284 def appTerm 2285 def absTerm 2286 def appTerm 2287 def absTerm 2288 def appTerm 2289 def absTerm 2290 def appTerm 2291 def absTerm 2292 def appTerm 2293 def absTerm 2294 def appTerm 2295 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 2295 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 2294 remove nil cons cons nil cons nil cons cons 164 ref subst 475 ref nil 150 ref 2293 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 2292 remove nil cons cons nil cons nil cons cons 159 ref subst 12 ref nil 150 ref 2291 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 2290 remove nil cons cons nil cons nil cons cons 159 ref subst 13 ref nil 150 ref 2289 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 2288 remove nil cons cons nil cons nil cons cons 164 ref subst 1014 ref nil 150 ref 2287 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 2286 remove nil cons cons nil cons nil cons cons 159 ref subst 30 ref nil 150 ref 2285 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 2284 remove nil cons cons nil cons nil cons cons 159 ref subst 31 ref nil 150 ref 2283 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 2282 remove nil cons cons nil cons nil cons cons 159 ref subst 32 ref nil 150 ref 2281 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 2280 remove nil cons cons nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 2279 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 2278 remove nil cons cons nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 2277 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 2276 remove nil cons cons nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 2275 remove nil cons cons nil cons nil cons cons 155 ref subst 165 ref 2264 ref refl 2186 ref refl 2296 def 2267 ref refl 2204 ref refl 2210 ref refl 2213 ref refl 2270 ref refl 2272 ref refl 2274 ref refl 20 ref 129 ref 2231 remove appTerm 167 ref 168 ref 169 ref "nct" 1 ref var 2297 def 169 ref "ns" 1 ref var 2298 def 169 ref "nc" 1 ref var 2299 def 169 ref "nsd" 1 ref var 2300 def 169 ref "ncd" 1 ref var 2301 def 172 ref "rnl" 8 ref var 2302 def 172 ref "rnh" 8 ref var 2303 def 172 ref "rn" 8 ref var 2304 def 169 ref "xs0" 1 ref var 2305 def 172 ref "xs1" 8 ref var 2306 def 169 ref "xs2" 1 ref var 2307 def 172 ref "xc0" 8 ref var 2308 def 169 ref "xc1" 1 ref var 2309 def 169 ref "xc2" 1 ref var 2310 def 169 ref "ys0" 1 ref var 2311 def 172 ref "ys1" 8 ref var 2312 def 169 ref "yc0" 1 ref var 2313 def 172 ref "yc1" 8 ref var 2314 def 169 ref "rn0" 1 ref var 2315 def 172 ref "rn1" 8 ref var 2316 def 42 ref 183 ref 208 ref appTerm 2317 def appTerm 42 ref 196 ref 208 ref appTerm 2318 def appTerm 223 ref 226 ref 229 ref 201 ref 204 ref 42 ref 180 ref 181 ref 2302 ref varTerm 2319 def appTerm appTerm 193 ref appTerm 2320 def appTerm 42 ref 180 ref 181 ref 2303 ref varTerm 2321 def appTerm appTerm 193 ref appTerm 2322 def appTerm 42 ref 180 ref 181 ref 2304 ref varTerm 2323 def appTerm appTerm 193 ref appTerm 2324 def appTerm 42 ref "Hardware.Bus.wire" const 0 ref 8 ref 264 remove cons opType constTerm 2325 def 56 ref appTerm 2326 def 191 ref appTerm 2305 ref varTerm 2327 def appTerm 2328 def appTerm 42 ref "Hardware.Bus.sub" const 0 ref 8 ref 0 ref 14 ref 0 ref 14 ref 50 ref cons opType nil cons cons opType nil cons cons opType constTerm 2329 def 56 ref appTerm 2330 def 192 ref appTerm 2331 def 188 ref appTerm 2306 ref varTerm 2332 def appTerm 2333 def appTerm 2334 def 42 ref 2326 ref 193 ref appTerm 2307 ref varTerm 2335 def appTerm 2336 def appTerm 42 ref 2329 ref 57 ref appTerm 2337 def 191 ref appTerm 2338 def 188 ref appTerm 2308 ref varTerm 2339 def appTerm 2340 def appTerm 2341 def 42 ref 2325 ref 57 ref appTerm 2342 def 188 ref appTerm 2309 ref varTerm 2343 def appTerm 2344 def appTerm 42 ref 2342 remove 193 ref appTerm 2310 ref varTerm 2345 def appTerm 2346 def appTerm 42 ref 2325 ref 59 ref appTerm 191 ref appTerm 2311 ref varTerm 2347 def appTerm 2348 def appTerm 42 ref 2329 ref 59 ref appTerm 2349 def 192 ref appTerm 188 ref appTerm 2312 ref varTerm 2350 def appTerm 2351 def appTerm 42 ref 2325 ref 60 ref appTerm 191 ref appTerm 2313 ref varTerm 2352 def appTerm 2353 def appTerm 42 ref 2329 ref 60 ref appTerm 2354 def 192 ref appTerm 188 ref appTerm 2314 ref varTerm 2355 def appTerm 2356 def appTerm 42 ref 2325 ref 2323 ref appTerm 191 ref appTerm 2315 ref varTerm 2357 def appTerm 2358 def appTerm 42 ref 2329 ref 2323 ref appTerm 2359 def 192 ref appTerm 188 ref appTerm 2316 ref varTerm 2360 def appTerm 2361 def appTerm 42 ref "Hardware.adder2" const 0 ref 1 ref 0 ref 1 ref 278 ref nil cons 2362 def cons opType 2363 def nil cons cons opType 2364 def constTerm 2365 def 2335 ref appTerm 2343 ref appTerm 2298 ref varTerm 2366 def appTerm 2297 ref varTerm 2367 def appTerm 2368 def appTerm 42 ref "Hardware.or2" const 2363 ref constTerm 2369 def 2367 ref appTerm 2370 def 2345 ref appTerm 2371 def 2299 ref varTerm 2372 def appTerm 2373 def appTerm 42 ref 265 ref 2366 ref appTerm 1017 ref appTerm 2374 def 2300 ref varTerm 2375 def appTerm 2376 def appTerm 42 ref 265 ref 2372 ref appTerm 1017 ref appTerm 2377 def 2301 ref varTerm 2378 def appTerm 2379 def appTerm 42 ref 270 ref 2375 ref appTerm 2380 def 70 ref appTerm 2381 def "Hardware.Bus.ground" const 0 ref 14 ref 157 ref cons opType constTerm 2382 def 193 ref appTerm 2383 def appTerm 2384 def 2319 ref appTerm 2385 def appTerm 42 ref 2380 ref 72 ref appTerm 2386 def 71 ref appTerm 2387 def 2321 ref appTerm 2388 def appTerm 42 ref 270 ref 2378 ref appTerm 2389 def 2321 ref appTerm 2390 def 2319 ref appTerm 2391 def 2323 ref appTerm 2392 def appTerm 42 ref 2365 ref 2327 ref appTerm 2393 def 2357 ref appTerm 2394 def 2347 ref appTerm 2395 def 2352 ref appTerm 2396 def appTerm "Hardware.Bus.adder3" const 282 remove constTerm 2397 def 2332 ref appTerm 2398 def 2339 ref appTerm 2399 def 2360 ref appTerm 2400 def 2350 ref appTerm 2401 def 2355 ref appTerm 2402 def appTerm 2403 def appTerm 2404 def appTerm 2405 def appTerm 2406 def appTerm 2407 def appTerm 2408 def appTerm 2409 def appTerm 2410 def appTerm 2411 def appTerm 2412 def appTerm 2413 def appTerm 2414 def appTerm 2415 def appTerm 2416 def appTerm 2417 def appTerm 2418 def appTerm 2419 def appTerm 2420 def appTerm 2421 def appTerm 2422 def appTerm 2423 def appTerm 2424 def appTerm 2425 def appTerm 2426 def appTerm 2427 def appTerm 2428 def appTerm 2429 def appTerm 2430 def appTerm 2431 def appTerm 2432 def absTerm 2433 def appTerm 2434 def absTerm 2435 def appTerm 2436 def absTerm 2437 def appTerm 2438 def absTerm 2439 def appTerm 2440 def absTerm 2441 def appTerm 2442 def absTerm 2443 def appTerm 2444 def absTerm 2445 def appTerm 2446 def absTerm 2447 def appTerm 2448 def absTerm 2449 def appTerm 2450 def absTerm 2451 def appTerm 2452 def absTerm 2453 def appTerm 2454 def absTerm 2455 def appTerm 2456 def absTerm 2457 def appTerm 2458 def absTerm 2459 def appTerm 2460 def absTerm 2461 def appTerm 2462 def absTerm 2463 def appTerm 2464 def absTerm 2465 def appTerm 2466 def absTerm 2467 def appTerm 2468 def absTerm 2469 def appTerm 2470 def absTerm 2471 def appTerm 2472 def absTerm 2473 def appTerm 2474 def appTerm absTerm 2475 def 60 ref appTerm 2476 def betaConv 19 ref 11 ref 2475 ref appTerm 2477 def absTerm 2478 def 59 ref appTerm 2479 def betaConv 32 ref 11 ref 2478 ref appTerm 2480 def absTerm 2481 def 72 ref appTerm 2482 def betaConv 31 ref 11 ref 2481 ref appTerm 2483 def absTerm 2484 def 71 ref appTerm 2485 def betaConv 30 ref 11 ref 2484 ref appTerm 2486 def absTerm 2487 def 70 ref appTerm 2488 def betaConv 1014 ref 11 ref 2487 ref appTerm 2489 def absTerm 2490 def 1017 ref appTerm 2491 def betaConv 13 ref 17 ref 2490 ref appTerm 2492 def absTerm 2493 def 57 ref appTerm 2494 def betaConv 12 ref 11 ref 2493 ref appTerm 2495 def absTerm 2496 def 56 ref appTerm 2497 def betaConv nil 11 ref 2496 ref appTerm 2498 def axiom nil 399 ref 2498 remove nil cons cons 400 ref 2497 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2496 remove nil cons cons 472 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2495 remove nil cons cons 400 ref 2494 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2493 remove nil cons cons 474 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2492 remove nil cons cons 400 ref 2491 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2490 remove nil cons cons 475 ref 1017 ref nil cons 2499 def cons nil cons 2500 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2489 remove nil cons cons 400 ref 2488 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2487 remove nil cons cons 495 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2486 remove nil cons cons 400 ref 2485 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2484 remove nil cons cons 496 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2483 remove nil cons cons 400 ref 2482 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2481 remove nil cons cons 497 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2480 remove nil cons cons 400 ref 2479 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2478 remove nil cons cons 479 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2477 remove nil cons cons 400 ref 2476 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2475 remove nil cons cons 481 ref cons nil cons cons 469 ref subst eqMp eqMp appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm 2237 ref refl appThm sym nil 399 ref 2264 remove 2186 ref 2267 remove 2204 ref 2210 remove 2213 remove 2270 remove 2272 remove 2274 remove 2474 ref appTerm 2501 def appTerm 2502 def appTerm 2503 def appTerm 2504 def appTerm 2505 def appTerm 2506 def appTerm 2507 def appTerm 2508 def appTerm nil cons 2509 def cons 400 ref 2237 ref nil cons 2510 def cons nil cons 2511 def cons nil cons cons 2512 def 416 ref subst 2512 remove 467 ref subst nil 435 ref 2263 ref nil cons cons 437 ref 2508 remove nil cons cons nil cons cons nil cons cons 2513 def 451 ref subst 2513 remove 515 ref subst nil 435 ref 2185 ref nil cons 2514 def cons 2515 def 437 ref 2507 remove nil cons cons nil cons cons nil cons cons 2516 def 451 ref subst 2516 remove 515 ref subst nil 435 ref 2266 ref nil cons cons 437 ref 2506 remove nil cons cons nil cons cons nil cons cons 2517 def 451 ref subst 2517 remove 515 ref subst nil 435 ref 2203 ref nil cons cons 2518 def 437 ref 2505 remove nil cons cons nil cons cons nil cons cons 2519 def 451 ref subst 2519 remove 515 ref subst nil 435 ref 2209 ref nil cons cons 437 ref 2504 remove nil cons cons nil cons cons nil cons cons 2520 def 451 ref subst 2520 remove 515 ref subst nil 435 ref 2212 ref nil cons cons 437 ref 2503 remove nil cons cons nil cons cons nil cons cons 2521 def 451 ref subst 2521 remove 515 ref subst nil 435 ref 2269 ref nil cons cons 437 ref 2502 remove nil cons cons nil cons cons nil cons cons 2522 def 451 ref subst 2522 remove 515 ref subst nil 435 ref 2271 ref nil cons cons 437 ref 2501 remove nil cons cons nil cons cons nil cons cons 2523 def 451 ref subst 2523 remove 515 ref subst nil 435 ref 2273 ref nil cons cons 437 ref 2474 ref nil cons 2524 def cons nil cons cons nil cons cons 2525 def 451 ref subst 2525 remove 515 ref subst nil 399 ref 2524 remove cons 2511 ref cons nil cons cons 459 ref subst nil 160 ref 168 ref 41 ref 2473 ref 188 ref appTerm 2526 def appTerm 2237 ref appTerm 2527 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 168 ref nil 150 ref 2527 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2526 ref nil cons 2528 def cons 2511 ref cons nil cons cons 2529 def 416 ref subst 2529 remove 467 ref subst 2526 ref betaConv 2526 remove assume eqMp nil 399 ref 2472 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2297 ref 41 ref 2471 ref 2367 ref appTerm 2530 def appTerm 2237 ref appTerm 2531 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2297 remove nil 150 ref 2531 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2530 ref nil cons 2532 def cons 2511 ref cons nil cons cons 2533 def 416 ref subst 2533 remove 467 ref subst 2530 ref betaConv 2530 remove assume eqMp nil 399 ref 2470 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2298 ref 41 ref 2469 ref 2366 ref appTerm 2534 def appTerm 2237 ref appTerm 2535 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2298 remove nil 150 ref 2535 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2534 ref nil cons 2536 def cons 2511 ref cons nil cons cons 2537 def 416 ref subst 2537 remove 467 ref subst 2534 ref betaConv 2534 remove assume eqMp nil 399 ref 2468 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2299 ref 41 ref 2467 ref 2372 ref appTerm 2538 def appTerm 2237 ref appTerm 2539 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2299 remove nil 150 ref 2539 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2538 ref nil cons 2540 def cons 2511 ref cons nil cons cons 2541 def 416 ref subst 2541 remove 467 ref subst 2538 ref betaConv 2538 remove assume eqMp nil 399 ref 2466 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2300 ref 41 ref 2465 ref 2375 ref appTerm 2542 def appTerm 2237 ref appTerm 2543 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2300 remove nil 150 ref 2543 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2542 ref nil cons 2544 def cons 2511 ref cons nil cons cons 2545 def 416 ref subst 2545 remove 467 ref subst 2542 ref betaConv 2542 remove assume eqMp nil 399 ref 2464 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2301 ref 41 ref 2463 ref 2378 ref appTerm 2546 def appTerm 2237 ref appTerm 2547 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2301 remove nil 150 ref 2547 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2546 ref nil cons 2548 def cons 2511 ref cons nil cons cons 2549 def 416 ref subst 2549 remove 467 ref subst 2546 ref betaConv 2546 remove assume eqMp nil 399 ref 2462 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 2302 ref 41 ref 2461 ref 2319 ref appTerm 2550 def appTerm 2237 ref appTerm 2551 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 2302 remove nil 150 ref 2551 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2550 ref nil cons 2552 def cons 2511 ref cons nil cons cons 2553 def 416 ref subst 2553 remove 467 ref subst 2550 ref betaConv 2550 remove assume eqMp nil 399 ref 2460 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 2303 ref 41 ref 2459 ref 2321 ref appTerm 2554 def appTerm 2237 ref appTerm 2555 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 2303 remove nil 150 ref 2555 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2554 ref nil cons 2556 def cons 2511 ref cons nil cons cons 2557 def 416 ref subst 2557 remove 467 ref subst 2554 ref betaConv 2554 remove assume eqMp nil 399 ref 2458 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 2304 ref 41 ref 2457 ref 2323 ref appTerm 2558 def appTerm 2237 ref appTerm 2559 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 2304 remove nil 150 ref 2559 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2558 ref nil cons 2560 def cons 2511 ref cons nil cons cons 2561 def 416 ref subst 2561 remove 467 ref subst 2558 ref betaConv 2558 remove assume eqMp nil 399 ref 2456 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2305 ref 41 ref 2455 ref 2327 ref appTerm 2562 def appTerm 2237 ref appTerm 2563 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2305 remove nil 150 ref 2563 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2562 ref nil cons 2564 def cons 2511 ref cons nil cons cons 2565 def 416 ref subst 2565 remove 467 ref subst 2562 ref betaConv 2562 remove assume eqMp nil 399 ref 2454 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 2306 ref 41 ref 2453 ref 2332 ref appTerm 2566 def appTerm 2237 ref appTerm 2567 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 2306 remove nil 150 ref 2567 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2566 ref nil cons 2568 def cons 2511 ref cons nil cons cons 2569 def 416 ref subst 2569 remove 467 ref subst 2566 ref betaConv 2566 remove assume eqMp nil 399 ref 2452 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2307 ref 41 ref 2451 ref 2335 ref appTerm 2570 def appTerm 2237 ref appTerm 2571 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2307 remove nil 150 ref 2571 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2570 ref nil cons 2572 def cons 2511 ref cons nil cons cons 2573 def 416 ref subst 2573 remove 467 ref subst 2570 ref betaConv 2570 remove assume eqMp nil 399 ref 2450 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 2308 ref 41 ref 2449 ref 2339 ref appTerm 2574 def appTerm 2237 ref appTerm 2575 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 2308 remove nil 150 ref 2575 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2574 ref nil cons 2576 def cons 2511 ref cons nil cons cons 2577 def 416 ref subst 2577 remove 467 ref subst 2574 ref betaConv 2574 remove assume eqMp nil 399 ref 2448 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2309 ref 41 ref 2447 ref 2343 ref appTerm 2578 def appTerm 2237 ref appTerm 2579 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2309 remove nil 150 ref 2579 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2578 ref nil cons 2580 def cons 2511 ref cons nil cons cons 2581 def 416 ref subst 2581 remove 467 ref subst 2578 ref betaConv 2578 remove assume eqMp nil 399 ref 2446 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2310 ref 41 ref 2445 ref 2345 ref appTerm 2582 def appTerm 2237 ref appTerm 2583 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2310 remove nil 150 ref 2583 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2582 ref nil cons 2584 def cons 2511 ref cons nil cons cons 2585 def 416 ref subst 2585 remove 467 ref subst 2582 ref betaConv 2582 remove assume eqMp nil 399 ref 2444 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2311 ref 41 ref 2443 ref 2347 ref appTerm 2586 def appTerm 2237 ref appTerm 2587 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2311 remove nil 150 ref 2587 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2586 ref nil cons 2588 def cons 2511 ref cons nil cons cons 2589 def 416 ref subst 2589 remove 467 ref subst 2586 ref betaConv 2586 remove assume eqMp nil 399 ref 2442 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 2312 ref 41 ref 2441 ref 2350 ref appTerm 2590 def appTerm 2237 ref appTerm 2591 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 2312 remove nil 150 ref 2591 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2590 ref nil cons 2592 def cons 2511 ref cons nil cons cons 2593 def 416 ref subst 2593 remove 467 ref subst 2590 ref betaConv 2590 remove assume eqMp nil 399 ref 2440 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2313 ref 41 ref 2439 ref 2352 ref appTerm 2594 def appTerm 2237 ref appTerm 2595 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2313 remove nil 150 ref 2595 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2594 ref nil cons 2596 def cons 2511 ref cons nil cons cons 2597 def 416 ref subst 2597 remove 467 ref subst 2594 ref betaConv 2594 remove assume eqMp nil 399 ref 2438 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 2314 ref 41 ref 2437 ref 2355 ref appTerm 2598 def appTerm 2237 ref appTerm 2599 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 2314 remove nil 150 ref 2599 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2598 ref nil cons 2600 def cons 2511 ref cons nil cons cons 2601 def 416 ref subst 2601 remove 467 ref subst 2598 ref betaConv 2598 remove assume eqMp nil 399 ref 2436 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 2315 ref 41 ref 2435 ref 2357 ref appTerm 2602 def appTerm 2237 ref appTerm 2603 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 2315 remove nil 150 ref 2603 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2602 ref nil cons 2604 def cons 2511 ref cons nil cons cons 2605 def 416 ref subst 2605 remove 467 ref subst 2602 ref betaConv 2602 remove assume eqMp nil 399 ref 2434 ref nil cons cons 2511 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 2316 ref 41 ref 2433 ref 2360 ref appTerm 2606 def appTerm 2237 ref appTerm 2607 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 2316 remove nil 150 ref 2607 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 2606 ref nil cons 2608 def cons 2511 ref cons nil cons cons 2609 def 416 ref subst 2609 remove 467 ref subst 2606 ref betaConv 2606 remove assume eqMp nil 399 ref 2432 remove nil cons 2610 def cons 2511 ref cons nil cons cons 2611 def 459 ref subst proveHyp 2611 ref 416 ref subst 2611 remove 467 ref subst nil 435 ref 2317 ref nil cons cons 437 ref 2431 remove nil cons cons nil cons cons nil cons cons 2612 def 451 ref subst 2612 remove 515 ref subst nil 435 ref 2318 ref nil cons cons 437 ref 2430 remove nil cons cons nil cons cons nil cons cons 2613 def 451 ref subst 2613 remove 515 ref subst nil 557 remove 437 ref 2429 remove nil cons cons nil cons cons nil cons cons 2614 def 451 ref subst 2614 remove 515 ref subst nil 558 remove 437 ref 2428 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 559 remove 437 ref 2427 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 555 remove 437 ref 2426 remove nil cons cons nil cons cons nil cons cons 2615 def 451 ref subst 2615 remove 515 ref subst nil 556 remove 437 ref 2425 remove nil cons cons nil cons cons nil cons cons 2616 def 451 ref subst 2616 remove 515 ref subst nil 435 ref 2320 remove nil cons cons 437 ref 2424 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 2322 remove nil cons cons 437 ref 2423 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 2324 ref nil cons cons 437 ref 2422 remove nil cons cons nil cons cons nil cons cons 2617 def 451 ref subst 2617 remove 515 ref subst nil 435 ref 2328 ref nil cons 2618 def cons 437 ref 2421 remove nil cons cons nil cons cons nil cons cons 2619 def 451 ref subst 2619 remove 515 ref subst nil 435 ref 2333 ref nil cons 2620 def cons 437 ref 2420 remove nil cons cons nil cons cons nil cons cons 2621 def 451 ref subst 2621 remove 515 ref subst nil 435 ref 2336 ref nil cons 2622 def cons 437 ref 2419 remove nil cons cons nil cons cons nil cons cons 2623 def 451 ref subst 2623 remove 515 ref subst nil 435 ref 2340 ref nil cons 2624 def cons 437 ref 2418 remove nil cons cons nil cons cons nil cons cons 2625 def 451 ref subst 2625 remove 515 ref subst nil 435 ref 2344 ref nil cons 2626 def cons 437 ref 2417 remove nil cons cons nil cons cons nil cons cons 2627 def 451 ref subst 2627 remove 515 ref subst nil 435 ref 2346 ref nil cons 2628 def cons 437 ref 2416 remove nil cons cons nil cons cons nil cons cons 2629 def 451 ref subst 2629 remove 515 ref subst nil 435 ref 2348 ref nil cons 2630 def cons 437 ref 2415 remove nil cons cons nil cons cons nil cons cons 2631 def 451 ref subst 2631 remove 515 ref subst nil 435 ref 2351 ref nil cons 2632 def cons 437 ref 2414 remove nil cons cons nil cons cons nil cons cons 2633 def 451 ref subst 2633 remove 515 ref subst nil 435 ref 2353 ref nil cons 2634 def cons 437 ref 2413 remove nil cons cons nil cons cons nil cons cons 2635 def 451 ref subst 2635 remove 515 ref subst nil 435 ref 2356 ref nil cons 2636 def cons 437 ref 2412 remove nil cons cons nil cons cons nil cons cons 2637 def 451 ref subst 2637 remove 515 ref subst nil 435 ref 2358 ref nil cons 2638 def cons 437 ref 2411 remove nil cons cons nil cons cons nil cons cons 2639 def 451 ref subst 2639 remove 515 ref subst nil 435 ref 2361 ref nil cons 2640 def cons 437 ref 2410 remove nil cons cons nil cons cons nil cons cons 2641 def 451 ref subst 2641 remove 515 ref subst nil 435 ref 2368 ref nil cons cons 437 ref 2409 remove nil cons cons nil cons cons nil cons cons 2642 def 451 ref subst 2642 remove 515 ref subst nil 435 ref 2373 ref nil cons 2643 def cons 437 ref 2408 remove nil cons cons nil cons cons nil cons cons 2644 def 451 ref subst 2644 remove 515 ref subst nil 435 ref 2376 ref nil cons 2645 def cons 437 ref 2407 remove nil cons cons nil cons cons nil cons cons 2646 def 451 ref subst 2646 remove 515 ref subst nil 435 ref 2379 ref nil cons 2647 def cons 437 ref 2406 remove nil cons cons nil cons cons nil cons cons 2648 def 451 ref subst 2648 remove 515 ref subst nil 435 ref 2385 ref nil cons 2649 def cons 437 ref 2405 remove nil cons cons nil cons cons nil cons cons 2650 def 451 ref subst 2650 remove 515 ref subst nil 435 ref 2388 ref nil cons 2651 def cons 437 ref 2404 remove nil cons cons nil cons cons nil cons cons 2652 def 451 ref subst 2652 remove 515 ref subst nil 435 ref 2392 ref nil cons 2653 def cons 437 ref 2403 remove nil cons cons nil cons cons nil cons cons 2654 def 451 ref subst 2654 remove 515 ref subst nil 435 ref 2396 ref nil cons 2655 def cons 437 ref 2402 ref nil cons 2656 def cons nil cons cons nil cons cons 2657 def 451 ref subst 2657 remove 515 ref subst 129 ref "_48240" 14 ref var 2658 def 180 ref 2658 remove varTerm appTerm 193 ref appTerm absTerm 2659 def 710 ref appTerm 2660 def appTerm refl 2659 ref 220 remove appTerm betaConv appThm 439 ref 2660 remove betaConv appThm 222 ref refl appThm trans 2659 remove refl 2263 remove assume sym appThm eqMp sym 222 remove assume eqMp nil 478 remove "y" 8 ref var 2661 def "Hardware.Bus.append" const 0 ref 8 ref 0 ref 8 ref 157 ref cons opType nil cons cons opType constTerm 2662 def "Hardware.Bus.single" const 0 ref 1 ref 157 remove cons opType constTerm 2663 def 2347 ref appTerm 2664 def appTerm 2350 ref appTerm 2665 def nil cons cons nil cons cons nil cons cons 2661 ref 129 ref 128 ref 51 ref constTerm 2666 def 2661 ref varTerm 2667 def appTerm 2668 def 653 ref appTerm 2669 def appTerm 2329 ref 653 ref appTerm 2670 def 191 ref appTerm 2671 def 181 ref 653 ref appTerm 2672 def appTerm 2667 ref appTerm 2673 def appTerm 2674 def absTerm 2675 def 2667 ref appTerm 2676 def betaConv 470 ref 11 ref 2675 ref appTerm 2677 def absTerm 2678 def 653 ref appTerm 2679 def betaConv 11 ref refl 2680 def 470 ref 2680 ref 2661 ref 2674 remove assume sym 129 ref 2673 remove appTerm 2669 remove appTerm 2681 def assume sym deductAntisym absThm appThm absThm appThm nil 11 ref 470 ref 11 ref 2661 ref 2681 remove absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 11 ref 2678 ref appTerm nil cons cons 400 ref 2679 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2678 remove nil cons cons 470 ref 653 ref nil cons cons nil cons 2682 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2677 remove nil cons cons 400 ref 2676 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2675 remove nil cons cons 470 ref 2667 ref nil cons cons nil cons 2683 def cons nil cons cons 469 ref subst eqMp eqMp 2684 def subst 2349 ref 191 ref appTerm 2685 def refl 2686 def 200 remove assume appThm 2665 ref refl 2687 def appThm trans sym 2686 remove nil 1241 ref nil cons cons 2688 def 1210 ref subst 2689 def appThm 2687 remove appThm sym 625 ref nil "w" 1 ref var 2690 def 2347 ref nil cons 2691 def cons 2692 def 707 ref 1244 ref cons 2693 def 479 ref cons cons nil cons cons 2690 ref 129 ref 2670 ref 708 ref appTerm 192 ref appTerm 2663 ref 2690 ref varTerm 2694 def appTerm 2695 def appTerm 2696 def appTerm 2325 ref 653 ref appTerm 2697 def 708 ref appTerm 2698 def 2694 ref appTerm 2699 def appTerm 2700 def absTerm 2701 def 2694 ref appTerm 2702 def betaConv 707 ref 34 ref 2701 ref appTerm 2703 def absTerm 2704 def 708 ref appTerm 2705 def betaConv 470 ref 17 ref 2704 ref appTerm 2706 def absTerm 2707 def 653 ref appTerm 2708 def betaConv 2680 remove 470 ref 603 ref 707 ref 34 ref refl 2690 ref 2700 remove assume sym 129 ref 2699 remove appTerm 2696 remove appTerm 2709 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 11 ref 470 ref 17 ref 707 ref 34 ref 2690 ref 2709 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 11 ref 2707 ref appTerm nil cons cons 400 ref 2708 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2707 remove nil cons cons 2682 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2706 remove nil cons cons 400 ref 2705 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2704 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2703 remove nil cons cons 400 ref 2702 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2701 remove nil cons cons 460 ref 2694 ref nil cons cons nil cons 2710 def cons nil cons cons 469 ref subst eqMp eqMp 2711 def subst nil 150 ref 2630 remove cons nil cons nil cons cons 155 ref subst 2348 remove assume eqMp trans appThm 2349 ref refl 2054 ref appThm 188 ref refl 2712 def appThm 2350 ref refl appThm nil 150 ref 2632 remove cons nil cons nil cons cons 155 ref subst 2351 remove assume eqMp trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 2685 ref 192 ref appTerm 2664 ref appTerm appTerm 2349 remove 1259 ref 192 ref appTerm 2713 def appTerm 188 ref appTerm 2350 ref appTerm appTerm nil cons cons 400 ref 2685 remove 187 ref 192 ref appTerm 2714 def 188 ref appTerm 2715 def appTerm 2665 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil "z" 8 ref var 2716 def 2350 ref nil cons 2717 def cons 2661 ref 2664 ref nil cons 2718 def cons 2091 ref 1006 ref 1236 ref cons 2719 def 695 ref 1244 ref cons 2720 def 479 ref cons cons cons cons cons nil cons cons 2716 ref 41 ref 42 ref 2670 ref 710 ref appTerm 2721 def 1009 ref appTerm 2667 ref appTerm appTerm 2670 ref 2265 ref 1009 ref appTerm appTerm 1011 ref appTerm 2716 ref varTerm 2722 def appTerm appTerm appTerm 2721 ref 1134 ref appTerm 2662 ref 2667 ref appTerm 2723 def 2722 ref appTerm appTerm appTerm 2724 def absTerm 2725 def 2722 ref appTerm 2726 def betaConv 2661 ref 11 ref 2725 ref appTerm 2727 def absTerm 2728 def 2667 ref appTerm 2729 def betaConv 1003 ref 11 ref 2728 ref appTerm 2730 def absTerm 2731 def 1011 ref appTerm 2732 def betaConv 1006 ref 17 ref 2731 ref appTerm 2733 def absTerm 2734 def 1009 ref appTerm 2735 def betaConv 695 ref 17 ref 2734 ref appTerm 2736 def absTerm 2737 def 710 ref appTerm 2738 def betaConv 470 ref 17 ref 2737 ref appTerm 2739 def absTerm 2740 def 653 ref appTerm 2741 def betaConv nil 11 ref 470 ref 11 ref 2661 ref 11 ref 2716 ref 17 ref 695 ref 17 ref 1006 ref 17 ref 1003 ref 2724 ref absTerm 2742 def appTerm 2743 def absTerm 2744 def appTerm 2745 def absTerm 2746 def appTerm 2747 def absTerm 2748 def appTerm 2749 def absTerm 2750 def appTerm 2751 def absTerm 2752 def appTerm 2753 def axiom nil 399 ref 2753 remove nil cons 2754 def cons 2755 def 400 ref 11 ref 2740 ref appTerm nil cons 2756 def cons nil cons cons nil cons cons 2757 def 459 ref subst proveHyp 2757 ref 416 ref subst 2757 remove 467 ref subst nil 156 ref 2740 remove nil cons cons 2758 def nil cons nil cons cons 159 ref subst 470 ref nil 150 ref 2739 remove nil cons 2759 def cons nil cons nil cons cons 155 ref subst nil 160 ref 2737 remove nil cons cons 2760 def nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 2736 remove nil cons 2761 def cons nil cons nil cons cons 155 ref subst nil 160 ref 2734 remove nil cons cons 2762 def nil cons nil cons cons 164 ref subst 1006 ref nil 150 ref 2733 remove nil cons 2763 def cons nil cons nil cons cons 155 ref subst nil 160 ref 2731 remove nil cons cons 2764 def nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 2730 remove nil cons 2765 def cons nil cons nil cons cons 155 ref subst nil 156 ref 2728 remove nil cons cons 2766 def nil cons nil cons cons 159 ref subst 2661 ref nil 150 ref 2727 remove nil cons 2767 def cons nil cons nil cons cons 155 ref subst nil 156 ref 2725 remove nil cons cons 2768 def nil cons nil cons cons 159 ref subst 2716 ref nil 150 ref 2724 remove nil cons cons nil cons nil cons cons 155 ref subst 2742 ref 1011 ref appTerm 2769 def betaConv 2744 ref 1009 ref appTerm 2770 def betaConv 2746 ref 710 ref appTerm 2771 def betaConv 2748 ref 2722 ref appTerm 2772 def betaConv 2750 ref 2667 ref appTerm 2773 def betaConv 2752 ref 653 ref appTerm 2774 def betaConv nil 2755 remove 400 ref 2774 remove nil cons cons nil cons cons nil cons cons 459 ref subst 158 ref 156 ref 2752 remove nil cons cons 2682 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2751 remove nil cons cons 400 ref 2773 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2750 remove nil cons cons 2683 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2749 remove nil cons cons 400 ref 2772 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2748 remove nil cons cons 470 ref 2722 ref nil cons cons nil cons 2775 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2747 remove nil cons cons 400 ref 2771 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2746 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2745 remove nil cons cons 400 ref 2770 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2744 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2743 remove nil cons cons 400 ref 2769 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2742 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 435 ref 2754 remove cons 437 ref 2756 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 2756 remove cons 400 ref 2741 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2758 remove 2682 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2759 remove cons 400 ref 2738 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 2760 remove 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2761 remove cons 400 ref 2735 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 2762 remove 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2763 remove cons 400 ref 2732 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 2764 remove 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2765 remove cons 400 ref 2729 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2766 remove 2683 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2767 remove cons 400 ref 2726 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2768 remove 2775 remove cons nil cons cons 469 ref subst eqMp eqMp 2776 def subst eqMp eqMp eqMp 129 ref "_48242" 8 ref var 2777 def 180 ref 2217 ref 187 ref 726 ref 728 ref 2777 remove varTerm appTerm 2207 ref appTerm appTerm appTerm 2235 ref appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm absTerm 2778 def 59 ref appTerm 2779 def appTerm refl 2778 ref 2665 ref appTerm betaConv appThm 439 ref 2779 remove betaConv appThm 180 ref 2217 ref 187 ref 726 ref 728 ref 2665 ref appTerm 2207 ref appTerm appTerm appTerm 2780 def 2235 remove appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm refl appThm trans 2778 remove refl 2666 ref 2665 remove appTerm 59 ref appTerm assume sym appThm eqMp sym nil 480 remove 2661 ref 2662 ref 2663 ref 2352 ref appTerm 2781 def appTerm 2355 ref appTerm 2782 def nil cons cons nil cons cons nil cons cons 2684 ref subst 2354 ref 191 ref appTerm 2783 def refl 2784 def 203 remove assume appThm 2782 ref refl 2785 def appThm trans sym 2784 remove 2689 ref appThm 2785 remove appThm sym 625 ref nil 2690 ref 2352 ref nil cons 2786 def cons 2787 def 2693 ref 481 ref cons cons nil cons cons 2711 ref subst nil 150 ref 2634 remove cons nil cons nil cons cons 155 ref subst 2353 remove assume eqMp trans appThm 2354 ref refl 2054 ref appThm 2712 ref appThm 2355 ref refl appThm nil 150 ref 2636 remove cons nil cons nil cons cons 155 ref subst 2356 remove assume eqMp trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 2783 ref 192 ref appTerm 2781 ref appTerm appTerm 2354 remove 2713 ref appTerm 188 ref appTerm 2355 ref appTerm appTerm nil cons cons 400 ref 2783 remove 2715 ref appTerm 2782 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 2355 ref nil cons 2788 def cons 2661 ref 2781 ref nil cons 2789 def cons 2091 ref 2719 ref 2720 ref 481 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp eqMp 129 ref "_48244" 8 ref var 2790 def 180 ref 2217 ref 2780 ref 2196 ref 726 ref 728 ref 2790 remove varTerm appTerm 2207 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm absTerm 2791 def 60 ref appTerm 2792 def appTerm refl 2791 ref 2782 ref appTerm betaConv appThm 439 ref 2792 remove betaConv appThm 180 ref 2217 ref 2780 remove 2196 ref 726 ref 728 ref 2782 ref appTerm 2207 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm refl appThm trans 2791 remove refl 2666 ref 2782 remove appTerm 60 ref appTerm assume sym appThm eqMp sym 1131 ref 2217 ref refl 2793 def 1368 ref nil 38 ref 2207 ref nil cons 2794 def cons 2795 def 2661 ref 2717 ref cons 470 ref 2718 remove cons nil cons cons cons nil cons cons 38 ref 180 ref 726 ref 728 ref 2662 ref 653 ref appTerm 2667 ref appTerm appTerm 47 ref appTerm appTerm appTerm 187 ref 726 ref 728 ref 653 ref appTerm 2796 def 47 ref appTerm 2797 def appTerm 2798 def appTerm 2799 def "Number.Natural.Bits.shiftLeft" const 186 ref constTerm 2800 def 726 ref 728 ref 2667 ref appTerm 2801 def 47 ref appTerm 2802 def appTerm 2803 def appTerm 2672 ref appTerm appTerm appTerm absTerm 2804 def 47 ref appTerm 2805 def betaConv 2661 ref 17 ref 2804 ref appTerm 2806 def absTerm 2807 def 2667 ref appTerm 2808 def betaConv 470 ref 11 ref 2807 ref appTerm 2809 def absTerm 2810 def 653 ref appTerm 2811 def betaConv nil 11 ref 2810 ref appTerm 2812 def axiom nil 399 ref 2812 remove nil cons cons 400 ref 2811 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2810 remove nil cons cons 2682 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2809 remove nil cons cons 400 ref 2808 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2807 remove nil cons cons 2683 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2806 remove nil cons cons 400 ref 2805 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2804 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 2813 def subst appThm 2196 ref refl 2814 def nil 2795 ref 2661 ref 2788 ref cons 470 ref 2789 remove cons nil cons cons cons nil cons cons 2813 ref subst appThm appThm appThm 1703 ref appThm appThm 2236 ref refl 2815 def appThm sym 1878 ref 42 ref 180 ref 2217 ref 187 ref 187 ref 726 ref 728 ref 2664 ref appTerm 2207 ref appTerm appTerm appTerm 2800 ref 726 ref 728 ref 2350 ref appTerm 2816 def 2207 ref appTerm appTerm 2817 def appTerm 2818 def 181 ref 2664 remove appTerm appTerm appTerm appTerm 2196 ref 187 ref 726 ref 728 ref 2781 ref appTerm 2207 ref appTerm appTerm 2819 def appTerm 2800 ref 726 ref 728 ref 2355 ref appTerm 2820 def 2207 ref appTerm appTerm 2821 def appTerm 2822 def 181 ref 2781 remove appTerm appTerm 2823 def appTerm appTerm appTerm appTerm 1011 ref appTerm 2824 def appTerm 2825 def 1881 ref appTerm appTerm 1888 ref 2236 ref appTerm 2826 def appTerm absTerm 2827 def 2217 ref 187 ref 187 ref "Number.Natural.fromBool" const 0 ref 2 ref 161 ref cons opType constTerm 2828 def 44 ref 2347 ref appTerm 2829 def 2207 ref appTerm appTerm 2830 def appTerm 2831 def 2196 ref 2828 ref 44 ref 2352 ref appTerm 2832 def 2207 ref appTerm appTerm appTerm 2833 def appTerm 2834 def appTerm 2835 def 2196 ref 187 ref 2817 ref appTerm 2196 ref 2821 ref appTerm 2836 def appTerm 2837 def appTerm 2838 def appTerm appTerm 1011 ref appTerm 2839 def appTerm betaConv sym 2793 ref 1131 ref 1368 ref 1368 ref nil 2795 ref 2692 remove nil cons 2840 def cons nil cons cons 38 ref 180 ref 726 ref 728 ref 2695 ref appTerm 47 ref appTerm appTerm appTerm 2828 ref 44 ref 2694 ref appTerm 2841 def 47 ref appTerm 2842 def appTerm appTerm absTerm 2843 def 47 ref appTerm 2844 def betaConv 2690 ref 17 ref 2843 ref appTerm 2845 def absTerm 2846 def 2694 ref appTerm 2847 def betaConv nil 34 ref 2846 ref appTerm 2848 def axiom nil 399 ref 2848 remove nil cons cons 400 ref 2847 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2846 remove nil cons cons 2710 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2845 remove nil cons cons 400 ref 2844 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2843 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 2849 def subst appThm 2818 remove refl nil 2840 remove nil cons cons 2690 ref 180 ref 181 ref 2695 ref appTerm appTerm 192 ref appTerm absTerm 2850 def 2694 ref appTerm 2851 def betaConv nil 34 ref 2850 ref appTerm 2852 def axiom nil 399 ref 2852 remove nil cons cons 400 ref 2851 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2850 remove nil cons cons 2710 ref cons nil cons cons 469 ref subst eqMp eqMp 2853 def subst appThm nil 1003 ref 2817 ref nil cons cons 2854 def nil cons nil cons cons 1003 ref 180 ref 2800 ref 1011 ref appTerm 2855 def 192 ref appTerm 2856 def appTerm 2196 ref 1011 ref appTerm 2857 def appTerm 2858 def absTerm 2859 def 1011 ref appTerm 2860 def betaConv nil 17 ref 2859 ref appTerm 2861 def axiom 2862 def nil 399 ref 2861 remove nil cons cons 400 ref 2860 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2859 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 2863 def subst trans appThm appThm nil 1116 ref 2823 remove nil cons cons 1003 ref 2819 remove nil cons cons 1215 ref cons cons nil cons cons 1116 ref 180 ref 2195 ref 1009 ref appTerm 2864 def 1120 ref appTerm appTerm 187 ref 2864 ref 1011 ref appTerm 2865 def appTerm 2866 def 2864 ref 1117 ref appTerm 2867 def appTerm appTerm absTerm 2868 def 1117 ref appTerm 2869 def betaConv 1003 ref 17 ref 2868 ref appTerm 2870 def absTerm 2871 def 1011 ref appTerm 2872 def betaConv 1006 ref 17 ref 2871 ref appTerm 2873 def absTerm 2874 def 1009 ref appTerm 2875 def betaConv nil 17 ref 2874 ref appTerm 2876 def axiom nil 399 ref 2876 remove nil cons cons 400 ref 2875 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2874 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2873 remove nil cons cons 400 ref 2872 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2871 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2870 remove nil cons cons 400 ref 2869 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2868 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 2877 def subst 1368 ref 2814 ref nil 2795 ref 2787 remove nil cons 2878 def cons nil cons cons 2849 ref subst appThm appThm 2814 ref 2822 remove refl nil 2878 remove nil cons cons 2853 ref subst appThm nil 1003 ref 2821 remove nil cons cons nil cons nil cons cons 2863 ref subst trans appThm appThm trans appThm appThm 2835 ref refl nil 1116 ref 2836 ref nil cons cons 2854 remove 1215 ref cons cons nil cons cons 2877 ref subst appThm appThm sym 1131 ref nil 1116 ref 2196 ref 2836 remove appTerm nil cons cons 2879 def 1003 ref 2833 ref nil cons 2880 def cons 2881 def 1006 ref 2831 remove 2196 ref 2817 remove appTerm 2882 def appTerm 2883 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst appThm nil 2879 ref 1003 ref 2882 ref nil cons 2884 def cons 2885 def 1006 ref 2834 ref nil cons cons nil cons cons cons nil cons cons 2078 ref subst appThm nil 1003 ref 2835 remove 2882 ref appTerm nil cons cons 2879 remove 1006 ref 187 ref 2883 remove appTerm 2833 ref appTerm nil cons cons nil cons cons cons nil cons cons 1121 ref 1011 ref appTerm 2886 def betaConv 1123 ref 1009 ref appTerm 2887 def betaConv 1125 remove 1117 ref appTerm 2888 def betaConv 1128 remove nil 1129 remove 400 ref 2888 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 1130 remove 1168 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1124 remove nil cons cons 400 ref 2887 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1123 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1122 remove nil cons cons 400 ref 2886 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 1121 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 2889 def subst trans sym 1131 ref nil 1116 ref 2880 remove cons 2885 remove 1006 ref 2830 remove nil cons cons nil cons 2890 def cons cons nil cons cons 1169 ref subst appThm nil 1116 ref 2884 ref cons 2881 ref 2890 ref cons cons nil cons cons 1169 ref subst appThm nil 1116 ref 187 ref 2833 ref appTerm 2882 ref appTerm nil cons cons 1003 ref 187 ref 2882 remove appTerm 2833 remove appTerm nil cons cons 2890 remove cons cons nil cons cons 1192 ref subst trans sym nil 2881 remove 1006 ref 2884 remove cons nil cons cons nil cons cons 1210 ref subst eqMp eqMp eqMp appThm 1703 ref appThm nil 399 ref 2825 ref 2839 ref appTerm nil cons cons 400 ref 180 ref 2839 ref appTerm 2236 ref appTerm 2891 def nil cons 2892 def cons nil cons 2893 def cons nil cons cons 467 ref subst proveHyp 38 ref 41 ref 2396 ref appTerm 2894 def 180 ref 187 ref 2828 ref 44 ref 2327 ref appTerm 2895 def 47 ref appTerm 2896 def appTerm 2897 def appTerm 2898 def 2828 ref 44 ref 2357 ref appTerm 2899 def 47 ref appTerm appTerm appTerm appTerm 2900 def 187 ref 2828 ref 2829 remove 47 ref appTerm appTerm appTerm 2901 def 2196 ref 2828 ref 2832 remove 47 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 2902 def 2207 ref appTerm 2903 def betaConv "c" 1 ref var 2904 def 17 ref 38 ref 41 ref 2395 remove 2904 ref varTerm 2905 def appTerm appTerm 2900 ref 2901 remove 2196 ref 2828 ref 44 ref 2905 ref appTerm 47 ref appTerm appTerm appTerm 2906 def appTerm appTerm appTerm absTerm appTerm absTerm 2907 def 2352 remove appTerm 2908 def betaConv "s" 1 ref var 2909 def 34 ref 2904 ref 17 ref 38 ref 41 ref 2394 remove 2909 ref varTerm 2910 def appTerm 2905 ref appTerm appTerm 2900 remove 187 ref 2828 ref 44 ref 2910 ref appTerm 47 ref appTerm 2911 def appTerm appTerm 2906 ref appTerm 2912 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 2913 def 2347 remove appTerm 2914 def betaConv 580 ref 34 ref 2909 ref 34 ref 2904 ref 17 ref 38 ref 41 ref 2393 remove 581 ref appTerm 2910 ref appTerm 2905 ref appTerm appTerm 180 ref 2898 ref 2828 ref 583 ref appTerm 2915 def appTerm appTerm 2912 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 2916 def 2357 ref appTerm 2917 def betaConv 460 ref 34 ref 580 ref 34 ref 2909 ref 34 ref 2904 ref 17 ref 38 ref 41 ref 2365 ref 589 ref appTerm 581 ref appTerm 2910 ref appTerm 2905 ref appTerm 2918 def appTerm 180 ref 187 ref 2828 ref 591 ref appTerm appTerm 2919 def 2915 ref appTerm appTerm 2912 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 2920 def 2327 ref appTerm 2921 def betaConv nil 34 ref 2920 ref appTerm 2922 def axiom 2923 def nil 399 ref 2922 remove nil cons cons 2924 def 400 ref 2921 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2920 ref nil cons cons 2925 def 460 ref 2327 ref nil cons 2926 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 2916 ref appTerm nil cons cons 400 ref 2917 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2916 remove nil cons cons 460 ref 2357 ref nil cons 2927 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 2913 ref appTerm nil cons cons 400 ref 2914 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2913 remove nil cons cons 460 ref 2691 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 2907 ref appTerm nil cons cons 400 ref 2908 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2907 remove nil cons cons 460 ref 2786 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 2902 ref appTerm nil cons cons 400 ref 2903 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2902 remove nil cons cons 475 ref 2794 ref cons nil cons 2928 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2894 remove 180 ref 187 ref 2828 ref 2895 remove 2207 ref appTerm 2929 def appTerm 2930 def appTerm 2931 def 2828 ref 2899 remove 2207 ref appTerm appTerm 2932 def appTerm 2933 def appTerm 2834 ref appTerm 2934 def appTerm nil cons cons 2893 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 2655 remove cons nil cons nil cons cons 155 ref subst 2396 remove assume eqMp appThm 2934 ref refl appThm nil 150 ref 2934 ref nil cons 2935 def cons nil cons nil cons cons 614 ref subst trans appThm 2891 remove refl appThm sym nil 399 ref 2935 ref cons 2893 remove cons nil cons cons 2936 def 416 ref subst 2936 remove 467 ref subst 129 ref "_48246" 14 ref var 2937 def 180 ref 2217 ref 187 ref 2937 remove varTerm appTerm 2838 ref appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm absTerm 2938 def 2834 remove appTerm 2939 def appTerm refl 2938 ref 2933 ref appTerm betaConv appThm 439 ref 2939 remove betaConv appThm 180 ref 2217 ref 187 ref 2933 ref appTerm 2940 def 2838 remove appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm 2941 def refl 2942 def appThm trans 2938 remove refl 2934 remove assume sym appThm eqMp sym 38 ref 41 ref 2402 ref appTerm 2943 def 180 ref 187 ref 726 ref 728 ref 2332 ref appTerm 2944 def 47 ref appTerm 2945 def appTerm 2946 def appTerm 2947 def 187 ref 726 ref 728 ref 2339 ref appTerm 2948 def 47 ref appTerm 2949 def appTerm 2950 def appTerm 2951 def 726 ref 728 ref 2360 ref appTerm 2952 def 47 ref appTerm appTerm appTerm appTerm appTerm 2953 def 187 ref 726 ref 2816 remove 47 ref appTerm appTerm appTerm 2954 def 2196 ref 726 ref 2820 remove 47 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 2955 def 2207 ref appTerm 2956 def betaConv "c" 8 ref var 2957 def 17 ref 38 ref 41 ref 2401 remove 2957 ref varTerm 2958 def appTerm appTerm 2953 ref 2954 remove 2196 ref 726 ref 728 ref 2958 ref appTerm 47 ref appTerm appTerm appTerm 2959 def appTerm appTerm appTerm absTerm appTerm absTerm 2960 def 2355 remove appTerm 2961 def betaConv "s" 8 ref var 2962 def 11 ref 2957 ref 17 ref 38 ref 41 ref 2400 remove 2962 ref varTerm 2963 def appTerm 2958 ref appTerm appTerm 2953 remove 187 ref 726 ref 728 ref 2963 ref appTerm 47 ref appTerm appTerm appTerm 2959 ref appTerm 2964 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 2965 def 2350 remove appTerm 2966 def betaConv 2716 ref 11 ref 2962 ref 11 ref 2957 ref 17 ref 38 ref 41 ref 2399 remove 2722 ref appTerm 2963 ref appTerm 2958 ref appTerm appTerm 180 ref 2947 ref 2951 ref 726 ref 728 ref 2722 ref appTerm 47 ref appTerm 2967 def appTerm 2968 def appTerm appTerm appTerm 2964 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 2969 def 2360 ref appTerm 2970 def betaConv 2661 ref 11 ref 2716 ref 11 ref 2962 ref 11 ref 2957 ref 17 ref 38 ref 41 ref 2398 remove 2667 ref appTerm 2722 ref appTerm 2963 ref appTerm 2958 ref appTerm appTerm 180 ref 2947 ref 187 ref 2803 remove appTerm 2968 ref appTerm 2971 def appTerm appTerm 2964 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 2972 def 2339 ref appTerm 2973 def betaConv 470 ref 11 ref 2661 ref 11 ref 2716 ref 11 ref 2962 ref 11 ref 2957 ref 17 ref 38 ref 41 ref 2397 ref 653 ref appTerm 2667 ref appTerm 2722 ref appTerm 2963 ref appTerm 2958 ref appTerm appTerm 180 ref 2799 remove 2971 ref appTerm appTerm 2964 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 2974 def 2332 ref appTerm 2975 def betaConv nil 11 ref 2974 ref appTerm 2976 def axiom 2977 def nil 399 ref 2976 remove nil cons cons 2978 def 400 ref 2975 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2974 ref nil cons cons 2979 def 470 ref 2332 ref nil cons 2980 def cons nil cons 2981 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 2972 ref appTerm nil cons cons 400 ref 2973 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2972 remove nil cons cons 470 ref 2339 ref nil cons 2982 def cons nil cons 2983 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 2969 ref appTerm nil cons cons 400 ref 2970 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2969 remove nil cons cons 470 ref 2360 ref nil cons 2984 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 2965 ref appTerm nil cons cons 400 ref 2966 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2965 remove nil cons cons 470 ref 2717 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 2960 ref appTerm nil cons cons 400 ref 2961 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2960 remove nil cons cons 470 ref 2788 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 2955 ref appTerm nil cons cons 400 ref 2956 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2955 remove nil cons cons 2928 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2943 remove 180 ref 187 ref 726 ref 2944 remove 2207 ref appTerm 2985 def appTerm 2986 def appTerm 187 ref 726 ref 2948 remove 2207 ref appTerm 2987 def appTerm 2988 def appTerm 726 ref 2952 remove 2207 ref appTerm appTerm 2989 def appTerm 2990 def appTerm 2991 def appTerm 2837 ref appTerm 2992 def appTerm nil cons cons 400 ref 2941 remove nil cons 2993 def cons nil cons 2994 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 2656 remove cons nil cons nil cons cons 155 ref subst 2402 remove assume eqMp appThm 2992 ref refl appThm nil 150 ref 2992 ref nil cons 2995 def cons nil cons nil cons cons 614 ref subst trans appThm 2942 remove appThm sym nil 399 ref 2995 ref cons 2994 remove cons nil cons cons 2996 def 416 ref subst 2996 remove 467 ref subst 129 ref "_48248" 14 ref var 2997 def 180 ref 2217 ref 2940 ref 2196 ref 2997 remove varTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm absTerm 2998 def 2837 remove appTerm 2999 def appTerm refl 2998 ref 2991 ref appTerm betaConv appThm 439 ref 2999 remove betaConv appThm 180 ref 2217 ref 2940 ref 2196 ref 2991 remove appTerm appTerm 3000 def appTerm 1011 ref appTerm 3001 def appTerm 3002 def 2236 ref appTerm 3003 def refl appThm trans 2998 remove refl 2992 remove assume sym appThm eqMp sym 1878 ref 42 ref 3002 ref 1881 ref appTerm appTerm 2826 remove appTerm absTerm 3004 def 2217 ref 187 ref 187 ref 2931 remove 2196 ref 2986 ref appTerm 3005 def appTerm 3006 def appTerm 2196 ref 2988 ref appTerm 3007 def appTerm 3008 def appTerm 3009 def 726 ref 728 ref 2323 ref appTerm 3010 def 2207 ref appTerm 3011 def appTerm 3012 def appTerm appTerm 1011 ref appTerm 3013 def appTerm betaConv sym 2793 ref nil 470 ref 2323 ref nil cons cons 3014 def 2661 ref 2662 ref 2663 ref 2357 remove appTerm 3015 def appTerm 2360 ref appTerm 3016 def nil cons cons nil cons cons nil cons cons 2684 ref subst 2359 ref 191 ref appTerm 3017 def refl 3018 def 2324 remove assume appThm 3016 ref refl 3019 def appThm trans sym 3018 remove 2689 remove appThm 3019 remove appThm sym 625 ref nil 2690 ref 2927 remove cons 3020 def 2693 ref 3014 remove nil cons 3021 def cons cons nil cons cons 2711 ref subst nil 150 ref 2638 remove cons nil cons nil cons cons 155 ref subst 2358 remove assume eqMp trans appThm 2359 ref refl 2054 ref appThm 2712 ref appThm 2360 ref refl appThm nil 150 ref 2640 remove cons nil cons nil cons cons 155 ref subst 2361 remove assume eqMp trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 3017 ref 192 ref appTerm 3015 ref appTerm appTerm 2359 remove 2713 ref appTerm 188 ref appTerm 2360 remove appTerm appTerm nil cons cons 400 ref 3017 remove 2715 ref appTerm 3016 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 2984 ref cons 2661 ref 3015 remove nil cons 3022 def cons 2091 ref 2719 ref 2720 ref 3021 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp eqMp 129 ref "_48250" 8 ref var 3023 def 180 ref 3000 remove appTerm 3024 def 3009 ref 726 ref 728 ref 3023 remove varTerm appTerm 2207 ref appTerm appTerm appTerm appTerm absTerm 3025 def 2323 ref appTerm 3026 def appTerm refl 3025 ref 3016 ref appTerm betaConv appThm 439 ref 3026 remove betaConv appThm 3024 remove 3009 ref 726 ref 728 ref 3016 ref appTerm 2207 ref appTerm appTerm appTerm appTerm refl appThm trans 3025 remove refl 2666 ref 3016 remove appTerm 2323 ref appTerm assume sym appThm eqMp sym 1131 ref 2940 ref refl nil 1116 ref 2990 remove nil cons cons 1003 ref 2986 remove nil cons cons 1215 ref cons cons nil cons cons 2877 ref subst 187 ref 3005 ref appTerm 3027 def refl nil 1116 ref 2989 ref nil cons 3028 def cons 1003 ref 2988 remove nil cons cons 1215 ref cons cons nil cons cons 2877 ref subst appThm trans appThm appThm 3009 ref refl nil 2795 ref 2661 ref 2984 remove cons 470 ref 3022 remove cons nil cons cons cons nil cons cons 2813 ref subst 1368 ref nil 2795 ref 3020 remove nil cons 3029 def cons nil cons cons 2849 ref subst appThm 2800 ref 2989 ref appTerm refl nil 3029 remove nil cons cons 2853 ref subst appThm nil 1003 ref 3028 remove cons nil cons nil cons cons 2863 ref subst trans appThm trans appThm appThm sym 1131 ref nil 1116 ref 187 ref 3007 ref appTerm 3030 def 2196 ref 2989 remove appTerm 3031 def appTerm nil cons cons 1003 ref 3005 ref nil cons 3032 def cons 3033 def 1006 ref 2933 remove nil cons cons nil cons cons 3034 def cons nil cons cons 2078 ref subst nil 1116 ref 3031 remove nil cons cons 3035 def 1003 ref 3007 ref nil cons 3036 def cons 3037 def 1006 ref 2940 remove 3005 ref appTerm 3038 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans appThm nil 3035 ref 1003 ref 2932 ref nil cons 3039 def cons 3040 def 1006 ref 3008 ref nil cons 3041 def cons nil cons cons cons nil cons cons 2078 ref subst appThm nil 1003 ref 3009 ref 2932 ref appTerm nil cons cons 3035 remove 1006 ref 187 ref 3038 remove appTerm 3007 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans sym 1131 ref nil 1116 ref 3036 remove cons 3034 remove cons nil cons cons 1169 ref subst nil 1116 ref 3027 ref 3007 ref appTerm 3042 def nil cons 3043 def cons 3040 remove 1006 ref 2930 remove nil cons cons nil cons 3044 def cons cons nil cons cons 1169 ref subst trans appThm nil 1116 ref 3039 ref cons 3045 def 3037 ref 1006 ref 3006 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 3030 remove 2932 ref appTerm 3046 def nil cons cons 3033 remove 3044 ref cons cons nil cons cons 1169 ref subst trans appThm nil 1116 ref 3027 remove 3046 remove appTerm 3047 def nil cons cons 1003 ref 187 ref 2932 ref appTerm 3042 ref appTerm nil cons cons 3044 remove cons cons nil cons cons 1192 ref subst trans sym 1131 ref nil 1003 ref 3043 remove cons 1006 ref 3039 remove cons nil cons cons nil cons cons 1210 ref subst appThm 3047 remove refl appThm sym 180 ref 187 ref 3042 remove appTerm 2932 remove appTerm 3048 def appTerm refl nil 3045 remove 3037 remove 1006 ref 3032 remove cons nil cons cons cons nil cons cons 2078 ref subst appThm nil 475 ref 3048 remove nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp proveHyp appThm 1703 ref appThm nil 399 ref 3002 remove 3013 ref appTerm nil cons cons 400 ref 180 ref 3013 ref appTerm 2236 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 38 ref 41 ref 2392 ref appTerm 3049 def 2206 ref 3010 remove 47 ref appTerm appTerm "Data.Bool.cond" const 3050 def 0 ref 2 ref 0 ref 724 ref 0 ref 724 ref 727 ref cons opType nil cons 3051 def cons opType nil cons cons opType constTerm 3052 def 44 ref 2378 ref appTerm 3053 def 47 ref appTerm appTerm 3054 def 728 ref 2321 ref appTerm 3055 def 47 ref appTerm 3056 def appTerm 3057 def 728 ref 2319 ref appTerm 3058 def 47 ref appTerm 3059 def appTerm 3060 def appTerm appTerm absTerm 3061 def 2207 ref appTerm 3062 def betaConv 2716 ref 17 ref 38 ref 41 ref 2391 remove 2722 ref appTerm appTerm 2206 ref 2967 remove appTerm 3063 def 3060 remove appTerm appTerm absTerm appTerm absTerm 3064 def 2323 remove appTerm 3065 def betaConv 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 2390 remove 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 3057 remove 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3066 def 2319 ref appTerm 3067 def betaConv 470 ref 11 ref 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 2389 remove 653 ref appTerm 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 3054 remove 2797 ref appTerm 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3068 def 2321 ref appTerm 3069 def betaConv 2909 ref 11 ref 470 ref 11 ref 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 270 ref 2910 ref appTerm 653 ref appTerm 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 3052 ref 2911 ref appTerm 2797 ref appTerm 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3070 def 2378 ref appTerm 3071 def betaConv nil 34 ref 3070 ref appTerm 3072 def axiom 3073 def nil 399 ref 3072 remove nil cons cons 3074 def 400 ref 3071 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3070 ref nil cons cons 3075 def 460 ref 2378 ref nil cons cons nil cons 3076 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 3068 ref appTerm nil cons cons 400 ref 3069 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3068 remove nil cons cons 470 ref 2321 ref nil cons cons nil cons 3077 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 3066 ref appTerm nil cons cons 400 ref 3067 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3066 remove nil cons cons 470 ref 2319 ref nil cons cons nil cons 3078 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 3064 ref appTerm nil cons cons 400 ref 3065 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3064 remove nil cons cons 3021 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 3061 ref appTerm nil cons cons 400 ref 3062 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3061 remove nil cons cons 2928 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3049 remove 2206 ref 3011 ref appTerm 3052 ref 3053 remove 2207 ref appTerm 3079 def appTerm 3080 def 3055 remove 2207 ref appTerm 3081 def appTerm 3058 remove 2207 ref appTerm 3082 def appTerm 3083 def appTerm 3084 def appTerm nil cons cons 400 ref 180 ref 3012 ref appTerm 2217 ref 2800 ref 187 ref 2828 ref 44 ref 2375 ref appTerm 3085 def 2207 ref appTerm 3086 def appTerm appTerm 3087 def 2196 ref 2828 ref 3079 ref appTerm appTerm 3088 def appTerm appTerm 193 ref appTerm 3089 def appTerm 1011 ref appTerm 3090 def appTerm 3091 def nil cons 3092 def cons nil cons 3093 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 2653 remove cons nil cons nil cons cons 155 ref subst 2392 remove assume eqMp appThm 3084 ref refl appThm nil 150 ref 3084 ref nil cons 3094 def cons nil cons nil cons cons 614 ref subst trans appThm 3091 ref refl appThm sym nil 399 ref 3094 ref cons 3093 remove cons nil cons cons 3095 def 416 ref subst 3095 remove 467 ref subst 129 ref "_48254" 724 ref var 3096 def 180 ref 726 ref 3096 remove varTerm appTerm appTerm 3090 ref appTerm absTerm 3097 def 3011 remove appTerm 3098 def appTerm refl 3097 ref 3083 ref appTerm betaConv appThm 439 ref 3098 remove betaConv appThm 180 ref 726 ref 3083 remove appTerm appTerm 3090 ref appTerm 3099 def refl 3100 def appThm trans 3097 remove refl 3084 remove assume appThm eqMp sym 38 ref 41 ref 2388 ref appTerm 3101 def 2206 ref 3056 remove appTerm 3052 ref 3085 remove 47 ref appTerm appTerm 3102 def 2225 ref 47 ref appTerm appTerm 3103 def 2220 ref 47 ref appTerm appTerm 3104 def appTerm appTerm absTerm 3105 def 2207 ref appTerm 3106 def betaConv 2716 ref 17 ref 38 ref 41 ref 2387 remove 2722 ref appTerm appTerm 3063 ref 3104 remove appTerm appTerm absTerm appTerm absTerm 3107 def 2321 remove appTerm 3108 def betaConv 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 2386 remove 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 3103 remove 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3109 def 71 ref appTerm 3110 def betaConv 470 ref 11 ref 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 2380 remove 653 ref appTerm 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 3102 ref 2797 ref appTerm 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3111 def 72 ref appTerm 3112 def betaConv 3070 ref 2375 ref appTerm 3113 def betaConv 3073 ref nil 3074 ref 400 ref 3113 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3075 ref 460 ref 2375 ref nil cons cons nil cons 3114 def cons nil cons cons 469 ref subst eqMp eqMp 3115 def nil 399 ref 11 ref 3111 ref appTerm nil cons cons 3116 def 400 ref 3112 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3111 ref nil cons cons 3117 def 497 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 3109 ref appTerm nil cons cons 400 ref 3110 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3109 remove nil cons cons 496 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 3107 ref appTerm nil cons cons 400 ref 3108 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3107 remove nil cons cons 3077 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 3105 ref appTerm nil cons cons 400 ref 3106 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3105 remove nil cons cons 2928 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3101 remove 2206 ref 3081 ref appTerm 3052 ref 3086 ref appTerm 3118 def 2226 ref appTerm 2221 ref appTerm 3119 def appTerm 3120 def appTerm nil cons cons 400 ref 3099 remove nil cons 3121 def cons nil cons 3122 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 2651 remove cons nil cons nil cons cons 155 ref subst 2388 remove assume eqMp appThm 3120 ref refl appThm nil 150 ref 3120 ref nil cons 3123 def cons nil cons nil cons cons 614 ref subst trans appThm 3100 remove appThm sym nil 399 ref 3123 ref cons 3122 remove cons nil cons cons 3124 def 416 ref subst 3124 remove 467 ref subst 129 ref "_48256" 724 ref var 3125 def 180 ref 726 ref 3080 ref 3125 remove varTerm appTerm 3082 ref appTerm appTerm appTerm 3090 ref appTerm absTerm 3126 def 3081 remove appTerm 3127 def appTerm refl 3126 ref 3119 ref appTerm betaConv appThm 439 ref 3127 remove betaConv appThm 180 ref 726 ref 3080 remove 3119 ref appTerm 3128 def 3082 ref appTerm appTerm appTerm 3090 ref appTerm 3129 def refl 3130 def appThm trans 3126 remove refl 3120 remove assume appThm eqMp sym 38 ref 41 ref 2385 ref appTerm 3131 def 2206 ref 3059 remove appTerm 3102 remove 2214 ref 47 ref appTerm appTerm 3132 def 728 ref 2383 ref appTerm 3133 def 47 ref appTerm appTerm 3134 def appTerm appTerm absTerm 3135 def 2207 ref appTerm 3136 def betaConv 2716 ref 17 ref 38 ref 41 ref 2384 remove 2722 ref appTerm appTerm 3063 ref 3134 remove appTerm appTerm absTerm appTerm absTerm 3137 def 2319 remove appTerm 3138 def betaConv 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 2381 remove 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 3132 remove 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3139 def 2383 ref appTerm 3140 def betaConv 3111 remove 70 ref appTerm 3141 def betaConv 3115 remove nil 3116 remove 400 ref 3141 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 3117 remove 495 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 3139 ref appTerm nil cons cons 400 ref 3140 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3139 remove nil cons cons 470 ref 2383 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 3137 ref appTerm nil cons cons 400 ref 3138 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3137 remove nil cons cons 3078 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 3135 ref appTerm nil cons cons 400 ref 3136 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3135 remove nil cons cons 2928 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3131 remove 2206 ref 3082 ref appTerm 3118 remove 2215 ref appTerm 3133 remove 2207 ref appTerm 3142 def appTerm 3143 def appTerm 3144 def appTerm nil cons cons 400 ref 3129 remove nil cons 3145 def cons nil cons 3146 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 2649 remove cons nil cons nil cons cons 155 ref subst 2385 remove assume eqMp appThm 3144 ref refl appThm nil 150 ref 3144 ref nil cons 3147 def cons nil cons nil cons cons 614 ref subst trans appThm 3130 remove appThm sym nil 399 ref 3147 ref cons 3146 remove cons nil cons cons 3148 def 416 ref subst 3148 remove 467 ref subst 129 ref "_48258" 724 ref var 3149 def 180 ref 726 ref 3128 ref 3149 remove varTerm appTerm appTerm appTerm 3090 ref appTerm absTerm 3150 def 3082 remove appTerm 3151 def appTerm refl 3150 ref 3143 ref appTerm betaConv appThm 439 ref 3151 remove betaConv appThm 180 ref 726 ref 3128 remove 3143 ref appTerm appTerm appTerm 3090 ref appTerm 3152 def refl appThm trans 3150 remove refl 3144 remove assume appThm eqMp sym nil 399 ref 129 ref 3079 ref appTerm 3153 def 1407 ref appTerm 3154 def nil cons 3155 def cons 400 ref 3152 remove nil cons 3156 def cons nil cons 3157 def cons nil cons cons 3158 def 416 ref subst 3158 remove 467 ref subst 129 ref "_48262" 2 ref var 3159 def 180 ref 726 ref 3052 ref 3159 remove varTerm 3160 def appTerm 3119 ref appTerm 3143 ref appTerm appTerm appTerm 2217 ref 2800 ref 3087 ref 2196 ref 2828 ref 3160 remove appTerm appTerm appTerm appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm absTerm 3161 def 3079 ref appTerm 3162 def appTerm refl 3163 def 3161 ref 1407 ref appTerm betaConv appThm 439 ref 3162 remove betaConv appThm 3164 def 180 ref 726 ref 3052 ref 1407 ref appTerm 3165 def 3119 ref appTerm 3143 ref appTerm appTerm appTerm 2217 ref 2800 ref 3087 ref 2196 ref 2828 ref 1407 ref appTerm 3166 def appTerm 3167 def appTerm appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm 3168 def refl appThm trans 3161 remove refl 3169 def 3154 remove assume appThm eqMp sym nil 399 ref 129 ref 3086 ref appTerm 3170 def 1407 ref appTerm 3171 def nil cons 3172 def cons 3173 def 400 ref 3168 remove nil cons 3174 def cons nil cons 3175 def cons nil cons cons 3176 def 416 ref subst 3176 remove 467 ref subst 129 ref "_48270" 2 ref var 3177 def 180 ref 726 ref 3165 ref 3052 ref 3177 remove varTerm 3178 def appTerm 3179 def 2226 ref appTerm 2221 ref appTerm appTerm 3179 remove 2215 ref appTerm 3142 ref appTerm appTerm appTerm appTerm 2217 ref 2800 ref 187 ref 2828 ref 3178 remove appTerm appTerm 3167 ref appTerm appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm absTerm 3180 def 3086 ref appTerm 3181 def appTerm refl 3182 def 3180 ref 1407 ref appTerm betaConv appThm 439 ref 3181 remove betaConv appThm 3183 def 180 ref 726 ref 3165 ref 3165 ref 2226 ref appTerm 2221 ref appTerm 3184 def appTerm 3165 ref 2215 ref appTerm 3142 ref appTerm 3185 def appTerm appTerm appTerm 2217 ref 2800 ref 187 ref 3166 ref appTerm 3186 def 3167 ref appTerm 3187 def appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm refl appThm trans 3180 remove refl 3188 def 3171 remove assume 3189 def appThm eqMp sym 1131 ref 726 ref refl 3190 def nil "t2" 724 ref var 3191 def 3185 ref nil cons cons "t1" 724 ref var 3192 def 3184 ref nil cons cons nil cons cons nil cons cons 3193 def "A" 727 remove cons nil cons 3194 def 127 ref cons 3195 def "t2" 130 ref var 3196 def 1278 ref 3050 ref 0 ref 2 ref 0 ref 130 ref 0 ref 130 ref 1575 ref cons opType nil cons cons opType nil cons cons opType constTerm 3197 def 1407 ref appTerm "t1" 130 ref var 3198 def varTerm 3199 def appTerm 3196 ref varTerm 3200 def appTerm appTerm 3200 ref appTerm absTerm 3201 def 3200 ref appTerm 3202 def betaConv 3198 ref 133 ref 3201 ref appTerm 3203 def absTerm 3204 def 3199 ref appTerm 3205 def betaConv nil 133 ref 3204 ref appTerm 3206 def axiom nil 399 ref 3206 remove nil cons cons 400 ref 3205 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 1576 remove nil cons 3207 def 134 ref 3204 remove nil cons cons 139 ref 3199 ref nil cons cons nil cons 3208 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3203 remove nil cons cons 400 ref 3202 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 3201 remove nil cons cons 139 ref 3200 ref nil cons cons nil cons 3209 def cons nil cons cons 469 ref subst eqMp eqMp 3210 def subst 3211 def subst nil 3191 ref 3142 ref nil cons cons 3192 ref 2215 ref nil cons cons nil cons cons nil cons cons 3212 def 3211 ref subst trans appThm nil 2795 remove 1231 ref nil cons 3213 def cons nil cons cons 38 ref 180 ref 726 ref 728 ref 2382 remove 1011 ref appTerm appTerm 47 ref appTerm appTerm appTerm 191 ref appTerm absTerm 3214 def 47 ref appTerm 3215 def betaConv 1003 ref 17 ref 3214 ref appTerm 3216 def absTerm 3217 def 1011 ref appTerm 3218 def betaConv nil 17 ref 3217 ref appTerm 3219 def axiom nil 399 ref 3219 remove nil cons cons 400 ref 3218 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3217 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3216 remove nil cons cons 400 ref 3215 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3214 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp subst trans appThm 2793 ref nil 695 ref 1230 ref cons 3220 def 1003 ref 3187 ref nil cons cons nil cons cons nil cons cons 695 ref 180 ref 2855 ref 710 ref appTerm appTerm 3221 def 2195 ref 1011 ref appTerm 3222 def 2268 ref appTerm appTerm absTerm 3223 def 710 ref appTerm 3224 def betaConv 1003 ref 17 ref 3223 ref appTerm 3225 def absTerm 3226 def 1011 ref appTerm 3227 def betaConv 603 ref 1003 ref 603 ref 695 ref 3221 ref refl nil 1006 ref 2268 ref nil cons cons nil cons nil cons cons 1003 ref 180 ref 2865 ref appTerm 3228 def 3222 ref 1009 ref appTerm 3229 def appTerm absTerm 3230 def 1011 ref appTerm 3231 def betaConv 1006 ref 17 ref 3230 ref appTerm 3232 def absTerm 3233 def 1009 ref appTerm 3234 def betaConv nil 17 ref 3233 ref appTerm 3235 def axiom nil 399 ref 3235 remove nil cons cons 400 ref 3234 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3233 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3232 remove nil cons cons 400 ref 3231 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3230 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 3236 def subst appThm absThm appThm absThm appThm nil 17 ref 1003 ref 17 ref 695 ref 3221 ref 2195 ref 2268 ref appTerm 1011 ref appTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 17 ref 3226 ref appTerm nil cons cons 400 ref 3227 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3226 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3225 remove nil cons cons 400 ref 3224 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3223 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 3237 def subst 2195 ref refl 3238 def 1368 ref nil 1712 ref 1424 ref cons nil cons nil cons cons 1712 ref 180 ref 2828 ref 1730 ref appTerm appTerm 3239 def 3050 ref 0 ref 2 ref 186 ref nil cons 3240 def cons opType constTerm 3241 def 1730 ref appTerm 192 ref appTerm 191 ref appTerm appTerm absTerm 3242 def 1730 ref appTerm 3243 def betaConv nil 607 ref 3242 ref appTerm 3244 def axiom nil 399 ref 3244 remove nil cons cons 400 ref 3243 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 3242 remove nil cons cons 1751 ref cons nil cons cons 469 ref subst eqMp eqMp 3245 def subst nil "t2" 14 ref var 1244 ref cons "t1" 14 ref var 1236 ref cons nil cons cons nil cons cons 3246 def 163 ref 3210 ref subst subst 3247 def trans 3248 def appThm 3249 def 2814 ref 3248 ref appThm nil 1215 ref nil cons cons 3250 def 1006 ref 180 ref 2864 ref 191 ref appTerm appTerm 191 ref appTerm absTerm 3251 def 1009 ref appTerm 3252 def betaConv nil 17 ref 3251 ref appTerm 3253 def axiom nil 399 ref 3253 remove nil cons cons 400 ref 3252 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3251 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp 3254 def subst 3255 def trans 3256 def appThm 1265 ref trans 3257 def appThm 738 ref 193 ref appTerm 3258 def refl 3259 def appThm nil 1003 ref 3258 ref nil cons 3260 def cons nil cons nil cons cons 1003 ref 180 ref 2195 ref 191 ref appTerm 1011 ref appTerm appTerm 191 ref appTerm absTerm 3261 def 1011 ref appTerm 3262 def betaConv nil 17 ref 3261 ref appTerm 3263 def axiom nil 399 ref 3263 remove nil cons cons 400 ref 3262 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3261 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst trans trans appThm 1703 ref appThm appThm sym nil 399 ref 2514 ref cons 3264 def 400 ref 180 ref 2217 ref 191 ref appTerm 1011 ref appTerm 3265 def appTerm 191 ref appTerm 3266 def nil cons 3267 def cons nil cons cons nil cons cons 459 ref subst 1003 ref 41 ref 2185 ref appTerm 3268 def 3266 remove appTerm absTerm 3269 def 1011 ref appTerm 3270 def betaConv nil 17 ref 3269 ref appTerm 3271 def axiom nil 399 ref 3271 remove nil cons cons 400 ref 3270 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3269 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp nil 399 ref 3267 remove cons 400 ref 180 ref 191 ref appTerm 3272 def 3265 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 475 ref 3265 remove nil cons cons 1878 ref 1244 remove cons nil cons cons nil cons cons 163 ref 139 ref 41 ref 1896 ref appTerm 1903 remove 463 ref appTerm 3273 def appTerm 3274 def absTerm 3275 def 463 ref appTerm 3276 def betaConv 1894 ref 133 ref 3275 ref appTerm 3277 def absTerm 3278 def 1895 ref appTerm 3279 def betaConv nil 133 ref 139 ref 133 ref 1894 ref 3274 ref absTerm 3280 def appTerm 3281 def absTerm 3282 def appTerm 3283 def axiom nil 399 ref 3283 remove nil cons 3284 def cons 3285 def 400 ref 133 ref 3278 ref appTerm nil cons 3286 def cons nil cons cons nil cons cons 3287 def 459 ref subst proveHyp 3287 ref 416 ref subst 3287 remove 467 ref subst nil 134 ref 3278 remove nil cons cons 3288 def nil cons nil cons cons 148 ref subst 1894 ref nil 150 ref 3277 remove nil cons 3289 def cons nil cons nil cons cons 155 ref subst nil 134 ref 3275 remove nil cons cons 3290 def nil cons nil cons cons 148 ref subst 139 ref nil 150 ref 3274 remove nil cons cons nil cons nil cons cons 155 ref subst 3280 ref 1895 ref appTerm 3291 def betaConv 3282 ref 463 ref appTerm 3292 def betaConv nil 3285 remove 400 ref 3292 remove nil cons cons nil cons cons nil cons cons 459 ref subst 3207 ref 134 ref 3282 remove nil cons cons 139 ref 463 ref nil cons cons nil cons 3293 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3281 remove nil cons cons 400 ref 3291 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 3280 remove nil cons cons 1936 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 435 ref 3284 remove cons 437 ref 3286 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 3286 remove cons 400 ref 3279 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 3288 remove 1936 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3289 remove cons 400 ref 3276 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 3290 remove 3293 ref cons nil cons cons 469 ref subst eqMp eqMp subst 3294 def subst eqMp eqMp eqMp eqMp nil 435 ref 3172 ref cons 3295 def 437 ref 3174 ref cons nil cons 3296 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 3170 ref 140 ref appTerm 3297 def nil cons 3298 def cons 3299 def 3175 remove cons nil cons cons 3300 def 416 ref subst 3300 remove 467 ref subst 3182 remove "_48268" 2 ref var 3301 def 180 ref 726 ref 3165 ref 3052 ref 3301 remove varTerm 3302 def appTerm 3303 def 2226 ref appTerm 2221 ref appTerm appTerm 3303 remove 2215 ref appTerm 3142 ref appTerm appTerm appTerm appTerm 2217 ref 2800 ref 187 ref 2828 ref 3302 remove appTerm appTerm 3167 ref appTerm appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 3183 remove 180 ref 726 ref 3165 ref 3052 ref 140 ref appTerm 3304 def 2226 ref appTerm 2221 ref appTerm 3305 def appTerm 3304 ref 2215 ref appTerm 3142 ref appTerm 3306 def appTerm appTerm appTerm 2217 ref 2800 ref 187 ref 2828 ref 140 ref appTerm 3307 def appTerm 3308 def 3167 remove appTerm 3309 def appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm refl appThm trans 3188 remove 3297 remove assume 3310 def appThm eqMp sym 1131 ref 3190 ref nil 3191 ref 3306 ref nil cons cons 3192 ref 3305 ref nil cons cons nil cons cons nil cons cons 3311 def 3211 ref subst 3212 remove 3195 ref 3196 remove 1278 ref 3197 remove 140 ref appTerm 3199 ref appTerm 3200 ref appTerm appTerm 3199 ref appTerm absTerm 3312 def 3200 remove appTerm 3313 def betaConv 3198 remove 133 ref 3312 ref appTerm 3314 def absTerm 3315 def 3199 remove appTerm 3316 def betaConv nil 133 ref 3315 ref appTerm 3317 def axiom nil 399 ref 3317 remove nil cons cons 400 ref 3316 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 3315 remove nil cons cons 3208 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3314 remove nil cons cons 400 ref 3313 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 3312 remove nil cons cons 3209 remove cons nil cons cons 469 ref subst eqMp eqMp 3318 def subst 3319 def subst trans appThm 129 ref "_48172" 14 ref var 3320 def 2216 ref 2217 ref 738 ref 3320 remove varTerm appTerm appTerm 1011 ref appTerm appTerm absTerm 3321 def 710 ref appTerm 3322 def appTerm refl 3321 ref 193 ref appTerm betaConv appThm 439 ref 3322 remove betaConv appThm 2216 remove 2217 ref 3258 ref appTerm 1011 ref appTerm 3323 def appTerm refl appThm trans 3321 remove refl 1061 remove 193 ref appTerm assume 3324 def appThm eqMp 2269 remove assume eqMp trans appThm 2793 ref nil 3220 ref 1003 ref 3309 ref nil cons cons nil cons cons nil cons cons 3237 ref subst 3238 ref 1368 ref nil 1712 ref 627 remove cons nil cons nil cons cons 3245 ref subst 3246 remove 163 ref 3318 ref subst subst 3325 def trans 3326 def appThm 3327 def 3256 remove appThm 1258 ref 1367 remove subst 3328 def trans 3329 def appThm 3259 ref appThm nil 1006 ref 3260 ref cons nil cons nil cons cons 1006 ref 180 ref 2195 ref 192 ref appTerm 1009 ref appTerm appTerm 1009 ref appTerm absTerm 3330 def 1009 ref appTerm 3331 def betaConv nil 17 ref 3330 ref appTerm 3332 def axiom nil 399 ref 3332 remove nil cons cons 400 ref 3331 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3330 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp subst trans trans appThm 1703 ref appThm appThm nil 475 ref 3323 remove nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp nil 435 ref 3298 remove cons 3333 def 3296 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 3086 ref appTerm 3334 def betaConv 1548 ref nil 1549 ref 400 ref 3334 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 3086 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 3335 def nil 3333 ref 437 ref 3172 remove cons 3336 def 1553 ref 3174 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 3155 ref cons 437 ref 3156 ref cons nil cons 3337 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 3153 ref 140 ref appTerm 3338 def nil cons 3339 def cons 3157 remove cons nil cons cons 3340 def 416 ref subst 3340 remove 467 ref subst 3163 remove "_48260" 2 ref var 3341 def 180 ref 726 ref 3052 ref 3341 remove varTerm 3342 def appTerm 3119 ref appTerm 3143 ref appTerm appTerm appTerm 2217 ref 2800 ref 3087 ref 2196 ref 2828 ref 3342 remove appTerm appTerm appTerm appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 3164 remove 180 ref 726 ref 3304 ref 3119 remove appTerm 3143 remove appTerm appTerm appTerm 2217 ref 2800 ref 3087 remove 2196 ref 3307 ref appTerm 3343 def appTerm appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm 3344 def refl appThm trans 3169 remove 3338 remove assume appThm eqMp sym nil 3173 remove 400 ref 3344 remove nil cons 3345 def cons nil cons 3346 def cons nil cons cons 3347 def 416 ref subst 3347 remove 467 ref subst 129 ref "_48266" 2 ref var 3348 def 180 ref 726 ref 3304 ref 3052 ref 3348 remove varTerm 3349 def appTerm 3350 def 2226 ref appTerm 2221 ref appTerm appTerm 3350 remove 2215 ref appTerm 3142 ref appTerm appTerm appTerm appTerm 2217 ref 2800 ref 187 ref 2828 ref 3349 remove appTerm appTerm 3343 ref appTerm appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm absTerm 3351 def 3086 ref appTerm 3352 def appTerm refl 3353 def 3351 ref 1407 ref appTerm betaConv appThm 439 ref 3352 remove betaConv appThm 3354 def 180 ref 726 ref 3304 ref 3184 remove appTerm 3185 remove appTerm appTerm appTerm 2217 ref 2800 ref 3186 ref 3343 ref appTerm 3355 def appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm refl appThm trans 3351 remove refl 3356 def 3189 remove appThm eqMp sym 1131 ref 3190 ref 3193 remove 3319 ref subst nil 3191 ref 2221 ref nil cons cons 3192 ref 2226 ref nil cons cons nil cons cons nil cons cons 3357 def 3211 ref subst trans appThm 129 ref "_48174" 14 ref var 3358 def 2222 ref 2217 ref 2196 ref 738 ref 3358 remove varTerm appTerm appTerm appTerm 1011 ref appTerm appTerm absTerm 3359 def 710 ref appTerm 3360 def appTerm refl 3359 ref 193 ref appTerm betaConv appThm 439 ref 3360 remove betaConv appThm 2222 remove 2217 ref 2196 ref 3258 ref appTerm appTerm 1011 ref appTerm 3361 def appTerm refl appThm trans 3359 remove refl 3324 ref appThm eqMp 2271 remove assume eqMp trans appThm 2793 ref nil 3220 ref 1003 ref 3355 ref nil cons cons nil cons cons nil cons cons 3237 ref subst 3238 ref 3249 ref 2814 ref 3326 ref appThm 3250 ref 1006 ref 180 ref 2864 ref 192 ref appTerm appTerm 1009 ref appTerm absTerm 3362 def 1009 ref appTerm 3363 def betaConv nil 17 ref 3362 ref appTerm 3364 def axiom nil 399 ref 3364 remove nil cons cons 400 ref 3363 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3362 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp 3365 def subst 3366 def trans 3367 def appThm nil 1237 ref nil cons 3368 def nil cons cons 3369 def 1268 remove subst 3370 def trans 3371 def appThm 3259 ref appThm trans appThm 1703 ref appThm appThm nil 475 ref 3361 remove nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp nil 3295 remove 437 ref 3345 ref cons nil cons 3372 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 3299 remove 3346 remove cons nil cons cons 3373 def 416 ref subst 3373 remove 467 ref subst 3353 remove "_48264" 2 ref var 3374 def 180 ref 726 ref 3304 ref 3052 ref 3374 remove varTerm 3375 def appTerm 3376 def 2226 remove appTerm 2221 remove appTerm appTerm 3376 remove 2215 remove appTerm 3142 remove appTerm appTerm appTerm appTerm 2217 ref 2800 ref 187 ref 2828 ref 3375 remove appTerm appTerm 3343 ref appTerm appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 3354 remove 180 ref 726 ref 3304 ref 3305 remove appTerm 3306 remove appTerm appTerm appTerm 2217 ref 2800 ref 3308 ref 3343 remove appTerm 3377 def appTerm 193 ref appTerm appTerm 1011 ref appTerm appTerm refl appThm trans 3356 remove 3310 remove appThm eqMp sym 1131 ref 3190 ref 3311 remove 3319 ref subst 3357 remove 3319 ref subst trans appThm 129 ref "_48176" 14 ref var 3378 def 2227 ref 2217 ref 2228 ref 738 ref 3378 remove varTerm appTerm appTerm appTerm 1011 ref appTerm appTerm absTerm 3379 def 710 ref appTerm 3380 def appTerm refl 3379 ref 193 ref appTerm betaConv appThm 439 ref 3380 remove betaConv appThm 2227 remove 2217 ref 2228 ref 3258 ref appTerm appTerm 1011 ref appTerm 3381 def appTerm refl appThm trans 3379 remove refl 3324 ref appThm eqMp 2273 remove assume eqMp trans appThm 2793 ref nil 3220 ref 1003 ref 3377 ref nil cons cons nil cons cons nil cons cons 3237 remove subst 3238 ref 3327 ref 3367 remove appThm 3382 def 2055 ref trans appThm 3259 ref appThm trans appThm 1703 ref appThm appThm nil 475 ref 3381 remove nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp nil 3333 ref 3372 remove cons nil cons cons 451 ref subst deductAntisym eqMp 3335 remove nil 3333 remove 3336 remove 1553 ref 3345 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 3339 remove cons 3383 def 3337 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 3079 ref appTerm 3384 def betaConv 1548 ref nil 1549 ref 400 ref 3384 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 3079 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 3383 remove 437 ref 3155 remove cons 1553 ref 3156 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 3147 remove cons 437 ref 3145 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 3123 remove cons 437 ref 3121 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 3094 remove cons 437 ref 3092 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp 129 ref "_48252" 14 ref var 3385 def 180 ref 2217 ref 3009 ref 3385 remove varTerm appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm absTerm 3386 def 3012 remove appTerm 3387 def appTerm refl 3386 ref 3090 ref appTerm betaConv appThm 439 ref 3387 remove betaConv appThm 180 ref 2217 ref 3009 ref 3090 ref appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm 3388 def refl 3389 def appThm trans 3386 remove refl 3091 remove assume appThm eqMp sym 1003 ref 17 ref "a" 14 ref var 3390 def 17 ref "b" 14 ref var 3391 def 3268 ref 180 ref 2217 ref 187 ref 2217 ref 3390 ref varTerm 3392 def appTerm 1011 ref appTerm appTerm 2217 ref 3391 ref varTerm 3393 def appTerm 1011 ref appTerm appTerm appTerm 1011 ref appTerm 3394 def appTerm 2217 ref 187 ref 3392 ref appTerm 3393 ref appTerm appTerm 1011 ref appTerm 3395 def appTerm 3396 def appTerm absTerm appTerm absTerm appTerm 3397 def absTerm 3398 def 1011 ref appTerm 3399 def betaConv nil 17 ref 3398 ref appTerm 3400 def axiom nil 399 ref 3400 remove nil cons cons 400 ref 3399 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3398 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 3401 def nil 399 ref 3397 remove nil cons cons 3402 def 400 ref 3388 remove nil cons 3403 def cons nil cons 3404 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 3390 ref 603 ref 3391 ref 165 ref 620 ref nil 3264 ref 400 ref 129 ref 2184 ref appTerm 3405 def 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 2184 ref nil cons 3406 def cons 3407 def nil cons nil cons cons 1932 ref subst eqMp appThm 1507 ref trans 3408 def appThm 3409 def 3396 ref refl appThm nil 150 ref 3396 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm absThm appThm appThm 3410 def 3389 remove appThm sym nil 399 ref 17 ref 3390 ref 17 ref 3391 ref 3396 ref absTerm 3411 def appTerm 3412 def absTerm 3413 def appTerm 3414 def nil cons 3415 def cons 3416 def 3404 remove cons nil cons cons 3417 def 416 ref subst 3417 remove 467 ref subst 1131 ref nil 3391 ref 3090 ref nil cons cons 3390 ref 3041 remove cons nil cons 3418 def cons nil cons cons 3391 ref 180 ref 3395 remove appTerm 3394 remove appTerm 3419 def absTerm 3420 def 3393 ref appTerm 3421 def betaConv 3390 ref 17 ref 3420 ref appTerm 3422 def absTerm 3423 def 3392 ref appTerm 3424 def betaConv 603 ref 3390 ref 603 ref 3391 ref 3419 remove assume sym 3396 remove assume sym deductAntisym absThm appThm absThm appThm 3414 ref assume eqMp nil 399 ref 17 ref 3423 ref appTerm nil cons cons 400 ref 3424 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3423 remove nil cons cons 475 ref 3392 ref nil cons 3425 def cons nil cons 3426 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3422 remove nil cons cons 400 ref 3421 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3420 remove nil cons cons 475 ref 3393 ref nil cons 3427 def cons nil cons 3428 def cons nil cons cons 469 ref subst eqMp eqMp 3429 def subst appThm 2815 ref appThm sym nil 3416 ref 400 ref 180 ref 2217 ref 187 ref 2217 ref 3008 remove appTerm 1011 ref appTerm appTerm 3430 def 2217 ref 3090 ref appTerm 1011 ref appTerm appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm 3431 def nil cons cons nil cons cons nil cons cons 459 ref subst 1003 ref 17 ref 1006 ref 3268 ref 180 ref 2217 ref 2217 ref 1009 ref appTerm 1011 ref appTerm 3432 def appTerm 1011 ref appTerm appTerm 3432 ref appTerm 3433 def appTerm absTerm appTerm 3434 def absTerm 3435 def 1011 ref appTerm 3436 def betaConv nil 17 ref 3435 ref appTerm 3437 def axiom nil 399 ref 3437 remove nil cons cons 400 ref 3436 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3435 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3434 remove nil cons cons 400 ref 41 ref 3414 remove appTerm 3438 def 3431 remove appTerm 3439 def nil cons 3440 def cons nil cons 3441 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 1006 ref 3409 ref 3433 ref refl appThm nil 150 ref 3433 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 3439 remove refl appThm sym nil 399 ref 17 ref 1006 ref 3433 remove absTerm 3442 def appTerm nil cons 3443 def cons 3444 def 3441 remove cons nil cons cons 3445 def 416 ref subst 3445 remove 467 ref subst 3438 remove refl 1131 ref 2793 ref 3430 ref refl nil 1006 ref 3089 ref nil cons 3446 def cons nil cons nil cons cons 3442 ref 1009 ref appTerm 3447 def betaConv nil 3444 remove 400 ref 3447 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 3442 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm appThm 1703 ref appThm appThm 2815 ref appThm appThm sym nil 3416 ref 400 ref 180 ref 2217 ref 3430 remove 3090 remove appTerm appTerm 1011 ref appTerm appTerm 2236 ref appTerm nil cons 3448 def cons nil cons cons nil cons cons 3449 def 416 ref subst 3449 remove 467 ref subst 1131 ref nil 3391 ref 3446 remove cons 3418 remove cons nil cons cons 3411 ref 3393 ref appTerm 3450 def betaConv 3413 ref 3392 ref appTerm 3451 def betaConv nil 3416 ref 400 ref 3451 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 3413 remove nil cons cons 3426 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3412 remove nil cons cons 400 ref 3450 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3411 remove nil cons cons 3428 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 2815 remove appThm sym 2793 ref 38 ref 41 ref 2376 ref appTerm 3170 remove 44 ref 2366 ref appTerm 47 ref appTerm 3452 def appTerm 3453 def appTerm 3454 def absTerm 3455 def 47 ref appTerm 3456 def betaConv "wd" 1 ref var 3457 def 17 ref 38 ref 41 ref 2374 remove 3457 ref varTerm 3458 def appTerm appTerm 129 ref 44 ref 3458 ref appTerm 3459 def 2207 ref appTerm appTerm 3460 def 3452 ref appTerm appTerm absTerm appTerm absTerm 3461 def 2375 remove appTerm 3462 def betaConv 1014 ref 34 ref 3461 ref appTerm 3463 def absTerm 3464 def 1017 ref appTerm 3465 def betaConv 2690 ref 17 ref 1014 ref 34 ref 3457 ref 17 ref 38 ref 41 ref 265 ref 2694 ref appTerm 1017 ref appTerm 3458 ref appTerm appTerm 3460 ref 2842 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3466 def 2366 ref appTerm 3467 def betaConv nil 34 ref 3466 ref appTerm 3468 def axiom 3469 def nil 399 ref 3468 remove nil cons cons 3470 def 400 ref 3467 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3466 ref nil cons cons 3471 def 460 ref 2366 ref nil cons 3472 def cons nil cons 3473 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 3464 ref appTerm nil cons cons 400 ref 3465 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3464 remove nil cons cons 2500 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3463 remove nil cons cons 400 ref 3462 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3461 remove nil cons cons 3114 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 3455 ref appTerm nil cons cons 400 ref 3456 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3455 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3454 remove nil cons cons 400 ref 180 ref 3009 ref 3089 remove appTerm appTerm 689 ref appTerm 3474 def nil cons 3475 def cons nil cons 3476 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 2645 remove cons nil cons nil cons cons 155 ref subst 2376 remove assume eqMp appThm 3453 ref refl appThm nil 150 ref 3453 ref nil cons 3477 def cons nil cons nil cons cons 614 ref subst trans appThm 3474 remove refl appThm sym nil 399 ref 3477 ref cons 3476 remove cons nil cons cons 3478 def 416 ref subst 3478 remove 467 ref subst 129 ref "_48272" 2 ref var 3479 def 180 ref 3009 ref 2800 ref 187 ref 2828 ref 3479 remove varTerm appTerm appTerm 3088 ref appTerm appTerm 193 ref appTerm appTerm appTerm 689 ref appTerm absTerm 3480 def 3086 remove appTerm 3481 def appTerm refl 3480 ref 3452 ref appTerm betaConv appThm 439 ref 3481 remove betaConv appThm 180 ref 3009 ref 2800 ref 187 ref 2828 ref 3452 ref appTerm appTerm 3482 def 3088 remove appTerm appTerm 193 ref appTerm appTerm appTerm 689 ref appTerm 3483 def refl 3484 def appThm trans 3480 remove refl 3453 remove assume appThm eqMp sym 38 ref 41 ref 2379 ref appTerm 3153 remove 44 ref 2372 ref appTerm 47 ref appTerm 3485 def appTerm 3486 def appTerm 3487 def absTerm 3488 def 47 ref appTerm 3489 def betaConv 3457 ref 17 ref 38 ref 41 ref 2377 remove 3458 ref appTerm appTerm 3460 ref 3485 ref appTerm appTerm absTerm appTerm absTerm 3490 def 2378 remove appTerm 3491 def betaConv 1014 ref 34 ref 3490 ref appTerm 3492 def absTerm 3493 def 1017 ref appTerm 3494 def betaConv 3466 ref 2372 ref appTerm 3495 def betaConv 3469 ref nil 3470 ref 400 ref 3495 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3471 ref 460 ref 2372 ref nil cons cons nil cons 3496 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 3493 ref appTerm nil cons cons 400 ref 3494 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3493 remove nil cons cons 2500 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3492 remove nil cons cons 400 ref 3491 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3490 remove nil cons cons 3076 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 3488 ref appTerm nil cons cons 400 ref 3489 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3488 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3487 remove nil cons cons 400 ref 3483 remove nil cons 3497 def cons nil cons 3498 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 2647 remove cons nil cons nil cons cons 155 ref subst 2379 remove assume eqMp appThm 3486 ref refl appThm nil 150 ref 3486 ref nil cons 3499 def cons nil cons nil cons cons 614 ref subst trans appThm 3484 remove appThm sym nil 399 ref 3499 ref cons 3498 remove cons nil cons cons 3500 def 416 ref subst 3500 remove 467 ref subst 129 ref "_48274" 2 ref var 3501 def 180 ref 3009 ref 2800 ref 3482 ref 2196 ref 2828 ref 3501 remove varTerm appTerm appTerm appTerm appTerm 193 ref appTerm appTerm appTerm 689 ref appTerm absTerm 3502 def 3079 remove appTerm 3503 def appTerm refl 3502 ref 3485 ref appTerm betaConv appThm 439 ref 3503 remove betaConv appThm 180 ref 3009 remove 2800 ref 3482 ref 2196 ref 2828 ref 3485 ref appTerm appTerm appTerm 3504 def appTerm 193 ref appTerm 3505 def appTerm appTerm 689 ref appTerm refl appThm trans 3502 remove refl 3486 remove assume appThm eqMp sym 470 ref 172 ref 2661 ref 167 ref 707 ref 42 ref 2698 ref 2327 ref appTerm appTerm 42 ref 2325 ref 2667 ref appTerm 3506 def 708 ref appTerm 3507 def 2327 ref appTerm appTerm 3508 def 2206 ref 2796 ref 2207 ref appTerm appTerm 2802 ref appTerm 3509 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3510 def 56 ref appTerm betaConv sym 2661 ref 167 ref 707 ref 42 ref 2326 remove 708 ref appTerm 2327 ref appTerm appTerm 3511 def 3508 remove 2208 remove 2802 ref appTerm 3512 def appTerm appTerm absTerm appTerm absTerm 3513 def 56 ref appTerm betaConv sym 707 ref 3511 ref 3511 remove 2209 ref appTerm appTerm absTerm 3514 def 191 ref appTerm betaConv sym 625 ref nil 150 ref 2618 remove cons nil cons nil cons cons 155 ref subst 2328 remove assume eqMp 3515 def appThm 3516 def 3516 remove 2206 ref refl 3517 def 2209 ref assume appThm 2193 ref refl appThm nil "x" 724 ref var 3518 def 2193 ref nil cons 3519 def cons nil cons nil cons cons 3195 remove 1280 remove subst 3520 def subst trans 3521 def appThm 634 ref trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 3514 remove nil cons cons 1276 ref cons nil cons cons 678 remove sym nil 610 ref 437 ref 41 ref 656 remove appTerm 442 remove appTerm 3522 def absTerm nil cons cons nil cons nil cons cons 1419 ref 148 ref subst 3523 def subst 437 ref nil 150 ref 3522 remove nil cons cons nil cons nil cons cons 155 ref subst 669 ref 416 ref subst 669 remove 467 ref subst nil 399 ref 465 remove cons 667 remove cons nil cons cons 459 ref subst 655 ref 463 ref appTerm 3524 def betaConv nil 658 remove 400 ref 3524 remove nil cons cons nil cons cons nil cons cons 459 ref subst 3207 ref 134 ref 655 remove nil cons cons 3293 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 687 remove 686 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 3525 def subst proveHyp eqMp 158 ref 156 ref 3513 remove nil cons cons 472 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 3510 ref nil cons cons 472 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 3510 remove appTerm nil cons cons 400 ref 129 ref 2929 ref appTerm 2896 ref appTerm 3526 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil "yt" 14 ref var 3527 def 622 ref cons 3528 def "yi" 1 ref var 3529 def 2926 ref cons "xt" 14 ref var 3530 def 2794 remove cons 3531 def "xi" 1 ref var 3532 def 2926 ref cons nil cons cons cons cons nil cons cons 3527 ref 41 ref 172 ref 470 ref 172 ref 2661 ref 167 ref 707 ref 42 ref 2698 ref 3532 ref varTerm 3533 def appTerm 3534 def appTerm 42 ref 3507 ref 3529 ref varTerm 3535 def appTerm appTerm 2206 ref 2796 remove 3530 ref varTerm 3536 def appTerm appTerm 2801 ref 3527 ref varTerm 3537 def appTerm appTerm 3538 def appTerm appTerm 3539 def absTerm 3540 def appTerm 3541 def absTerm 3542 def appTerm 3543 def absTerm 3544 def appTerm 3545 def appTerm 3546 def 129 ref 44 ref 3533 ref appTerm 3547 def 3536 ref appTerm appTerm 44 ref 3535 ref appTerm 3537 ref appTerm appTerm 3548 def appTerm 3549 def absTerm 3550 def 3537 ref appTerm 3551 def betaConv 3529 ref 17 ref 3550 ref appTerm 3552 def absTerm 3553 def 3535 ref appTerm 3554 def betaConv 3530 ref 34 ref 3553 ref appTerm 3555 def absTerm 3556 def 3536 ref appTerm 3557 def betaConv 3532 ref 17 ref 3556 ref appTerm 3558 def absTerm 3559 def 3533 ref appTerm 3560 def betaConv nil 11 ref 470 ref 11 ref 2661 ref 17 ref 707 ref 34 ref 3532 ref 34 ref 3529 ref 17 ref 3530 ref 17 ref 3527 ref 41 ref 3539 ref appTerm 3548 ref appTerm absTerm 3561 def appTerm 3562 def absTerm 3563 def appTerm 3564 def absTerm 3565 def appTerm 3566 def absTerm 3567 def appTerm 3568 def absTerm 3569 def appTerm 3570 def absTerm 3571 def appTerm 3572 def absTerm 3573 def appTerm 3574 def axiom nil 399 ref 3574 ref nil cons 3575 def cons 3576 def 400 ref 34 ref 3559 ref appTerm nil cons 3577 def cons nil cons cons nil cons cons 3578 def 459 ref subst proveHyp 3578 ref 416 ref subst 3578 remove 467 ref subst nil 5 ref 3559 remove nil cons cons 3579 def nil cons nil cons cons 149 ref subst 3532 ref nil 150 ref 3558 remove nil cons 3580 def cons nil cons nil cons cons 155 ref subst nil 160 ref 3556 remove nil cons cons 3581 def nil cons nil cons cons 164 ref subst 3530 ref nil 150 ref 3555 remove nil cons 3582 def cons nil cons nil cons cons 155 ref subst nil 5 ref 3553 remove nil cons cons 3583 def nil cons nil cons cons 149 ref subst 3529 remove nil 150 ref 3552 remove nil cons 3584 def cons nil cons nil cons cons 155 ref subst nil 160 ref 3550 remove nil cons cons 3585 def nil cons nil cons cons 164 ref subst 3527 ref nil 150 ref 3549 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3545 remove nil cons 3586 def cons 3587 def 400 ref 3548 ref nil cons 3588 def cons nil cons 3589 def cons nil cons cons 3590 def 416 ref subst 3590 remove 467 ref subst nil 3576 ref 3589 ref cons nil cons cons 3591 def 459 ref subst nil 3587 remove 400 ref 41 ref 3574 remove appTerm 3548 remove appTerm 3592 def nil cons 3593 def cons nil cons 3594 def cons nil cons cons 459 ref subst nil 156 ref 470 ref 41 ref 3544 ref 653 ref appTerm 3595 def appTerm 3592 ref appTerm 3596 def absTerm 3597 def nil cons cons nil cons nil cons cons 159 ref subst 470 ref nil 150 ref 3596 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3595 ref nil cons 3598 def cons 3594 ref cons nil cons cons 3599 def 416 ref subst 3599 remove 467 ref subst 3595 ref betaConv 3595 remove assume eqMp nil 399 ref 3543 ref nil cons cons 3594 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 2661 ref 41 ref 3542 ref 2667 ref appTerm 3600 def appTerm 3592 ref appTerm 3601 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 2661 ref nil 150 ref 3601 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3600 ref nil cons 3602 def cons 3594 ref cons nil cons cons 3603 def 416 ref subst 3603 remove 467 ref subst 3600 ref betaConv 3600 remove assume eqMp nil 399 ref 3541 ref nil cons cons 3594 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 707 ref 41 ref 3540 ref 708 ref appTerm 3604 def appTerm 3592 ref appTerm 3605 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 3605 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3604 ref nil cons 3606 def cons 3594 ref cons nil cons cons 3607 def 416 ref subst 3607 remove 467 ref subst 3604 ref betaConv 3604 remove assume eqMp nil 399 ref 3539 remove nil cons 3608 def cons 3609 def 3594 remove cons nil cons cons 3610 def 459 ref subst proveHyp 3610 ref 416 ref subst 3610 remove 467 ref subst 3591 ref 416 ref subst 3591 remove 467 ref subst nil 3609 remove 3589 remove cons nil cons cons 459 ref subst 3561 ref 3537 ref appTerm 3611 def betaConv 3563 ref 3536 ref appTerm 3612 def betaConv 3565 ref 3535 ref appTerm 3613 def betaConv 3567 ref 3533 ref appTerm 3614 def betaConv 3569 ref 708 ref appTerm 3615 def betaConv 3571 ref 2667 ref appTerm 3616 def betaConv 3573 ref 653 ref appTerm 3617 def betaConv nil 3576 remove 400 ref 3617 remove nil cons cons nil cons cons nil cons cons 459 ref subst 158 ref 156 ref 3573 remove nil cons cons 2682 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3572 remove nil cons cons 400 ref 3616 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3571 remove nil cons cons 2683 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3570 remove nil cons cons 400 ref 3615 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3569 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3568 remove nil cons cons 400 ref 3614 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3567 remove nil cons cons 460 ref 3533 ref nil cons cons nil cons 3618 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3566 remove nil cons cons 400 ref 3613 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3565 remove nil cons cons 460 ref 3535 remove nil cons cons nil cons 3619 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3564 remove nil cons cons 400 ref 3612 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3563 remove nil cons cons 475 ref 3536 ref nil cons cons nil cons 3620 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3562 remove nil cons cons 400 ref 3611 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3561 remove nil cons cons 475 ref 3537 ref nil cons cons nil cons 3621 def cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 3575 remove cons 3622 def 437 ref 3588 remove cons nil cons 3623 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 3608 remove cons 437 ref 3593 remove cons nil cons 3624 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 3606 remove cons 3624 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 3540 ref 689 ref appTerm appTerm 3592 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 3541 remove appTerm 3592 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3540 remove nil cons cons 3624 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 3602 remove cons 3624 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref "x'" 8 ref var 3625 def 41 ref 3542 ref 3625 ref varTerm 3626 def appTerm appTerm 3592 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 3543 remove appTerm 3592 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3542 remove nil cons cons 3624 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 3598 remove cons 3624 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 3597 remove appTerm nil cons cons 400 ref 3546 remove 3592 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3544 remove nil cons cons 3624 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 3586 remove cons 3623 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 3622 remove 437 ref 3577 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 3577 remove cons 400 ref 3560 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3579 remove 3618 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3580 remove cons 400 ref 3557 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 3581 remove 3620 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3582 remove cons 400 ref 3554 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3583 remove 3619 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3584 remove cons 400 ref 3551 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 3585 remove 3621 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp 129 ref "_48276" 2 ref var 3627 def 180 ref 187 ref 187 ref 187 ref 2828 ref 3627 remove varTerm appTerm appTerm 3005 ref appTerm appTerm 3007 ref appTerm appTerm 3505 ref appTerm appTerm 689 ref appTerm absTerm 3628 def 2929 remove appTerm 3629 def appTerm refl 3628 ref 2896 remove appTerm betaConv appThm 439 ref 3629 remove betaConv appThm 180 ref 187 ref 187 ref 2898 ref 3005 remove appTerm appTerm 3007 ref appTerm appTerm 3505 ref appTerm appTerm 689 ref appTerm refl appThm trans 3628 remove refl 3526 remove assume appThm eqMp sym 470 ref 172 ref 2661 ref 167 ref 695 ref 167 ref 1003 ref 42 ref 2721 ref 1011 ref appTerm 3630 def 2332 ref appTerm appTerm 42 ref 2329 ref 2667 ref appTerm 710 ref appTerm 1011 ref appTerm 3631 def 2332 ref appTerm appTerm 3632 def 3509 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3633 def 56 ref appTerm betaConv sym 2661 ref 167 ref 695 ref 167 ref 1003 ref 42 ref 2330 ref 710 ref appTerm 3634 def 1011 ref appTerm 2332 ref appTerm appTerm 3635 def 3632 remove 3512 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3636 def 56 ref appTerm betaConv sym 695 ref 167 ref 1003 ref 3635 ref 3635 remove 2209 ref appTerm appTerm absTerm appTerm absTerm 3637 def 192 ref appTerm betaConv sym 1003 ref 42 ref 2331 ref 1011 ref appTerm 2332 ref appTerm appTerm 3638 def 3638 remove 2209 remove appTerm appTerm absTerm 3639 def 188 ref appTerm betaConv sym 625 ref nil 150 ref 2620 remove cons nil cons nil cons cons 155 ref subst 2333 remove assume 3640 def eqMp appThm 3641 def 3641 ref 3521 remove appThm 634 ref trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 3639 remove nil cons cons 475 ref 1238 ref cons nil cons 3642 def cons nil cons cons 3525 ref subst proveHyp eqMp 162 ref 160 ref 3637 remove nil cons cons 475 ref 1236 ref cons nil cons 3643 def cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 3636 remove nil cons cons 472 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 3633 ref nil cons cons 472 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 3633 remove appTerm nil cons cons 400 ref 2206 ref 2985 ref appTerm 2945 ref appTerm 3644 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 3528 ref 19 ref 2980 ref cons 3531 ref 12 ref 2980 ref cons nil cons cons cons cons nil cons cons 3527 ref 41 ref 172 ref 470 ref 172 ref 2661 ref 167 ref 695 ref 167 ref 1003 ref 42 ref 3630 ref 56 ref appTerm appTerm 42 ref 3631 ref 59 ref appTerm appTerm 3538 remove appTerm appTerm 3645 def absTerm 3646 def appTerm 3647 def absTerm 3648 def appTerm 3649 def absTerm 3650 def appTerm 3651 def absTerm 3652 def appTerm 3653 def appTerm 3654 def 2206 ref 2192 ref 3536 ref appTerm appTerm 2233 ref 3537 ref appTerm appTerm 3655 def appTerm 3656 def absTerm 3657 def 3537 ref appTerm 3658 def betaConv 19 ref 17 ref 3657 ref appTerm 3659 def absTerm 3660 def 59 ref appTerm 3661 def betaConv 3530 ref 11 ref 3660 ref appTerm 3662 def absTerm 3663 def 3536 ref appTerm 3664 def betaConv 12 ref 17 ref 3663 ref appTerm 3665 def absTerm 3666 def 56 ref appTerm 3667 def betaConv nil 11 ref 470 ref 11 ref 2661 ref 17 ref 695 ref 17 ref 1003 ref 11 ref 12 ref 11 ref 19 ref 17 ref 3530 ref 17 ref 3527 ref 41 ref 3645 ref appTerm 3655 ref appTerm absTerm 3668 def appTerm 3669 def absTerm 3670 def appTerm 3671 def absTerm 3672 def appTerm 3673 def absTerm 3674 def appTerm 3675 def absTerm 3676 def appTerm 3677 def absTerm 3678 def appTerm 3679 def absTerm 3680 def appTerm 3681 def absTerm 3682 def appTerm 3683 def axiom nil 399 ref 3683 ref nil cons 3684 def cons 3685 def 400 ref 11 ref 3666 ref appTerm nil cons 3686 def cons nil cons cons nil cons cons 3687 def 459 ref subst proveHyp 3687 ref 416 ref subst 3687 remove 467 ref subst nil 156 ref 3666 remove nil cons cons 3688 def nil cons nil cons cons 159 ref subst 12 ref nil 150 ref 3665 remove nil cons 3689 def cons nil cons nil cons cons 155 ref subst nil 160 ref 3663 remove nil cons cons 3690 def nil cons nil cons cons 164 ref subst 3530 remove nil 150 ref 3662 remove nil cons 3691 def cons nil cons nil cons cons 155 ref subst nil 156 ref 3660 remove nil cons cons 3692 def nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 3659 remove nil cons 3693 def cons nil cons nil cons cons 155 ref subst nil 160 ref 3657 remove nil cons cons 3694 def nil cons nil cons cons 164 ref subst 3527 remove nil 150 ref 3656 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3653 remove nil cons 3695 def cons 3696 def 400 ref 3655 ref nil cons 3697 def cons nil cons 3698 def cons nil cons cons 3699 def 416 ref subst 3699 remove 467 ref subst nil 3685 ref 3698 ref cons nil cons cons 3700 def 459 ref subst nil 3696 remove 400 ref 41 ref 3683 remove appTerm 3655 remove appTerm 3701 def nil cons 3702 def cons nil cons 3703 def cons nil cons cons 459 ref subst nil 156 ref 470 ref 41 ref 3652 ref 653 ref appTerm 3704 def appTerm 3701 ref appTerm 3705 def absTerm 3706 def nil cons cons nil cons nil cons cons 159 ref subst 470 ref nil 150 ref 3705 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3704 ref nil cons 3707 def cons 3703 ref cons nil cons cons 3708 def 416 ref subst 3708 remove 467 ref subst 3704 ref betaConv 3704 remove assume eqMp nil 399 ref 3651 ref nil cons cons 3703 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 2661 ref 41 ref 3650 ref 2667 ref appTerm 3709 def appTerm 3701 ref appTerm 3710 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 2661 ref nil 150 ref 3710 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3709 ref nil cons 3711 def cons 3703 ref cons nil cons cons 3712 def 416 ref subst 3712 remove 467 ref subst 3709 ref betaConv 3709 remove assume eqMp nil 399 ref 3649 ref nil cons cons 3703 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 695 ref 41 ref 3648 ref 710 ref appTerm 3713 def appTerm 3701 ref appTerm 3714 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 3714 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3713 ref nil cons 3715 def cons 3703 ref cons nil cons cons 3716 def 416 ref subst 3716 remove 467 ref subst 3713 ref betaConv 3713 remove assume eqMp nil 399 ref 3647 ref nil cons cons 3703 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 1003 ref 41 ref 3646 ref 1011 ref appTerm 3717 def appTerm 3701 ref appTerm 3718 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 3718 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3717 ref nil cons 3719 def cons 3703 ref cons nil cons cons 3720 def 416 ref subst 3720 remove 467 ref subst 3717 ref betaConv 3717 remove assume eqMp nil 399 ref 3645 remove nil cons 3721 def cons 3722 def 3703 remove cons nil cons cons 3723 def 459 ref subst proveHyp 3723 ref 416 ref subst 3723 remove 467 ref subst 3700 ref 416 ref subst 3700 remove 467 ref subst nil 3722 remove 3698 remove cons nil cons cons 459 ref subst 3668 ref 3537 remove appTerm 3724 def betaConv 3670 ref 3536 remove appTerm 3725 def betaConv 3672 ref 59 ref appTerm 3726 def betaConv 3674 ref 56 ref appTerm 3727 def betaConv 3676 ref 1011 ref appTerm 3728 def betaConv 3678 ref 710 ref appTerm 3729 def betaConv 3680 ref 2667 ref appTerm 3730 def betaConv 3682 ref 653 ref appTerm 3731 def betaConv nil 3685 remove 400 ref 3731 remove nil cons cons nil cons cons nil cons cons 459 ref subst 158 ref 156 ref 3682 remove nil cons cons 2682 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3681 remove nil cons cons 400 ref 3730 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3680 remove nil cons cons 2683 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3679 remove nil cons cons 400 ref 3729 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3678 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3677 remove nil cons cons 400 ref 3728 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3676 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3675 remove nil cons cons 400 ref 3727 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3674 remove nil cons cons 472 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3673 remove nil cons cons 400 ref 3726 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3672 remove nil cons cons 479 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3671 remove nil cons cons 400 ref 3725 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3670 remove nil cons cons 3620 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3669 remove nil cons cons 400 ref 3724 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3668 remove nil cons cons 3621 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 3684 remove cons 3732 def 437 ref 3697 remove cons nil cons 3733 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 3721 remove cons 437 ref 3702 remove cons nil cons 3734 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 3719 remove cons 3734 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 3646 ref 689 ref appTerm appTerm 3701 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 3647 remove appTerm 3701 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3646 remove nil cons cons 3734 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 3715 remove cons 3734 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 3648 ref 689 ref appTerm appTerm 3701 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 3649 remove appTerm 3701 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3648 remove nil cons cons 3734 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 3711 remove cons 3734 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 3625 remove 41 ref 3650 ref 3626 remove appTerm appTerm 3701 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 3651 remove appTerm 3701 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3650 remove nil cons cons 3734 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 3707 remove cons 3734 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 3706 remove appTerm nil cons cons 400 ref 3654 remove 3701 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3652 remove nil cons cons 3734 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 3695 remove cons 3733 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 3732 remove 437 ref 3686 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 3686 remove cons 400 ref 3667 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 3688 remove 472 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3689 remove cons 400 ref 3664 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 3690 remove 3620 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3691 remove cons 400 ref 3661 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 3692 remove 479 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3693 remove cons 400 ref 3658 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 3694 remove 3621 remove cons nil cons cons 469 ref subst eqMp eqMp 3735 def subst eqMp 129 ref "_48278" 724 ref var 3736 def 180 ref 187 ref 187 ref 2898 ref 2196 ref 726 ref 3736 remove varTerm appTerm appTerm appTerm appTerm 3007 ref appTerm appTerm 3505 ref appTerm appTerm 689 ref appTerm absTerm 3737 def 2985 remove appTerm 3738 def appTerm refl 3737 ref 2945 remove appTerm betaConv appThm 439 ref 3738 remove betaConv appThm 180 ref 187 ref 187 ref 2898 ref 2196 ref 2946 ref appTerm appTerm appTerm 3739 def 3007 remove appTerm appTerm 3505 ref appTerm appTerm 689 ref appTerm refl appThm trans 3737 remove refl 3644 remove assume appThm eqMp sym 470 ref 172 ref 2661 ref 167 ref 695 ref 167 ref 1003 ref 42 ref 3630 ref 2339 ref appTerm appTerm 42 ref 3631 remove 2339 ref appTerm appTerm 3740 def 3509 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3741 def 57 ref appTerm betaConv sym 2661 ref 167 ref 695 ref 167 ref 1003 ref 42 ref 2337 ref 710 ref appTerm 3742 def 1011 ref appTerm 2339 ref appTerm appTerm 3743 def 3740 remove 2211 remove 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3744 def 57 ref appTerm betaConv sym 695 ref 167 ref 1003 ref 3743 ref 3743 remove 2212 ref appTerm appTerm absTerm appTerm absTerm 3745 def 191 ref appTerm betaConv sym 1003 ref 42 ref 2338 ref 1011 ref appTerm 2339 ref appTerm appTerm 3746 def 3746 remove 2212 ref appTerm appTerm absTerm 3747 def 188 ref appTerm betaConv sym 625 ref nil 150 ref 2624 remove cons nil cons nil cons cons 155 ref subst 2340 remove assume 3748 def eqMp appThm 3749 def 3749 ref 3517 ref 2212 remove assume appThm 2198 ref refl appThm nil 3518 ref 2198 ref nil cons 3750 def cons nil cons nil cons cons 3520 ref subst trans appThm 634 ref trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 3747 remove nil cons cons 3642 ref cons nil cons cons 3525 ref subst proveHyp eqMp 162 ref 160 ref 3745 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 3744 remove nil cons cons 474 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 3741 ref nil cons cons 474 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 3741 remove appTerm nil cons cons 400 ref 2206 ref 2987 ref appTerm 2949 ref appTerm 3751 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 3528 remove 19 ref 2982 ref cons 3531 remove 12 ref 2982 ref cons nil cons cons cons cons nil cons cons 3735 remove subst eqMp 129 ref "_48280" 724 ref var 3752 def 180 ref 187 ref 3739 ref 2196 ref 726 ref 3752 remove varTerm appTerm appTerm appTerm appTerm 3505 ref appTerm appTerm 689 ref appTerm absTerm 3753 def 2987 remove appTerm 3754 def appTerm refl 3753 ref 2949 remove appTerm betaConv appThm 439 ref 3754 remove betaConv appThm 180 ref 187 ref 3739 remove 2196 ref 2950 ref appTerm appTerm appTerm 3755 def 3505 remove appTerm appTerm 689 ref appTerm 3756 def refl appThm trans 3753 remove refl 3751 remove assume appThm eqMp sym 470 ref 167 ref 695 ref 2721 ref 188 ref appTerm 3757 def 2332 ref appTerm absTerm appTerm absTerm 3758 def 56 ref appTerm betaConv sym 695 ref 3634 remove 188 ref appTerm 2332 ref appTerm absTerm 3759 def 192 ref appTerm betaConv sym 3640 remove eqMp 162 ref 160 ref 3759 remove nil cons cons 3643 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 3758 ref nil cons cons 472 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 3758 remove appTerm nil cons cons 400 ref 180 ref 181 ref 2332 ref appTerm appTerm 188 ref appTerm 3760 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2091 ref 2661 ref 2980 remove cons 3761 def nil cons cons nil cons cons 1003 ref 41 ref 172 ref 470 ref 167 ref 695 ref 3630 remove 2667 ref appTerm 3762 def absTerm 3763 def appTerm 3764 def absTerm 3765 def appTerm 3766 def appTerm 3767 def 180 ref 181 ref 2667 ref appTerm appTerm 1011 ref appTerm 3768 def appTerm 3769 def absTerm 3770 def 1011 ref appTerm 3771 def betaConv 2661 ref 17 ref 3770 ref appTerm 3772 def absTerm 3773 def 2667 ref appTerm 3774 def betaConv nil 11 ref 470 ref 17 ref 695 ref 17 ref 1003 ref 11 ref 2661 ref 41 ref 3762 ref appTerm 3775 def 3768 ref appTerm absTerm 3776 def appTerm 3777 def absTerm 3778 def appTerm 3779 def absTerm 3780 def appTerm 3781 def absTerm 3782 def appTerm 3783 def axiom nil 399 ref 3783 ref nil cons 3784 def cons 3785 def 400 ref 11 ref 3773 ref appTerm nil cons 3786 def cons nil cons cons nil cons cons 3787 def 459 ref subst proveHyp 3787 ref 416 ref subst 3787 remove 467 ref subst nil 156 ref 3773 remove nil cons cons 3788 def nil cons nil cons cons 159 ref subst 2661 ref nil 150 ref 3772 remove nil cons 3789 def cons nil cons nil cons cons 155 ref subst nil 160 ref 3770 remove nil cons cons 3790 def nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 3769 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3766 remove nil cons 3791 def cons 3792 def 400 ref 3768 ref nil cons 3793 def cons nil cons 3794 def cons nil cons cons 3795 def 416 ref subst 3795 remove 467 ref subst nil 3785 ref 3794 ref cons nil cons cons 3796 def 459 ref subst nil 3792 remove 400 ref 41 ref 3783 remove appTerm 3768 ref appTerm 3797 def nil cons 3798 def cons nil cons 3799 def cons nil cons cons 459 ref subst nil 156 ref 470 ref 41 ref 3765 ref 653 ref appTerm 3800 def appTerm 3797 ref appTerm 3801 def absTerm 3802 def nil cons cons nil cons nil cons cons 159 ref subst 470 ref nil 150 ref 3801 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3800 ref nil cons 3803 def cons 3799 ref cons nil cons cons 3804 def 416 ref subst 3804 remove 467 ref subst 3800 ref betaConv 3800 remove assume eqMp nil 399 ref 3764 ref nil cons cons 3799 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 695 ref 41 ref 3763 ref 710 ref appTerm 3805 def appTerm 3797 ref appTerm 3806 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 3806 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 3805 ref nil cons 3807 def cons 3799 ref cons nil cons cons 3808 def 416 ref subst 3808 remove 467 ref subst 3805 ref betaConv 3805 remove assume eqMp nil 399 ref 3762 remove nil cons 3809 def cons 3810 def 3799 remove cons nil cons cons 3811 def 459 ref subst proveHyp 3811 ref 416 ref subst 3811 remove 467 ref subst 3796 ref 416 ref subst 3796 remove 467 ref subst nil 3810 remove 3794 ref cons nil cons cons 459 ref subst 3776 ref 2667 ref appTerm 3812 def betaConv 3778 ref 1011 ref appTerm 3813 def betaConv 3780 ref 710 ref appTerm 3814 def betaConv 3782 ref 653 ref appTerm 3815 def betaConv nil 3785 remove 400 ref 3815 remove nil cons cons nil cons cons nil cons cons 459 ref subst 158 ref 156 ref 3782 remove nil cons cons 2682 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3781 remove nil cons cons 400 ref 3814 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3780 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3779 remove nil cons cons 400 ref 3813 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3778 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3777 remove nil cons cons 400 ref 3812 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3776 remove nil cons cons 2683 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 3784 remove cons 3816 def 437 ref 3793 remove cons nil cons 3817 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 3809 remove cons 437 ref 3798 remove cons nil cons 3818 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 3807 remove cons 3818 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 3763 ref 689 ref appTerm appTerm 3797 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 3764 remove appTerm 3797 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3763 remove nil cons cons 3818 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 3803 remove cons 3818 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 3802 remove appTerm nil cons cons 400 ref 3767 remove 3797 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 3765 remove nil cons cons 3818 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 3791 remove cons 3817 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 3816 remove 437 ref 3786 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 3786 remove cons 400 ref 3774 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 3788 remove 2683 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3789 remove cons 400 ref 3771 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 3790 remove 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 3819 def subst eqMp 470 ref 167 ref 695 ref 3757 remove 2339 ref appTerm absTerm appTerm absTerm 3820 def 57 ref appTerm betaConv sym 695 ref 3742 remove 188 ref appTerm 2339 ref appTerm absTerm 3821 def 191 ref appTerm betaConv sym 3748 remove eqMp 162 ref 160 ref 3821 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 3820 ref nil cons cons 474 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 3820 remove appTerm nil cons cons 400 ref 180 ref 181 ref 2339 ref appTerm appTerm 188 ref appTerm 3822 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2091 ref 2661 ref 2982 remove cons 3823 def nil cons cons nil cons cons 3819 ref subst eqMp nil 399 ref 77 ref 42 ref 44 ref 2335 ref appTerm 47 ref appTerm 3824 def appTerm 3825 def 42 ref 44 ref 2343 ref appTerm 47 ref appTerm 3826 def appTerm 44 ref 2345 ref appTerm 47 ref appTerm 3827 def appTerm 3828 def appTerm 3829 def appTerm 3830 def nil cons 3831 def cons 3832 def 400 ref 3756 remove nil cons 3833 def cons nil cons 3834 def cons nil cons cons 3835 def 416 ref subst 3835 remove 467 ref subst 38 ref 41 ref 2373 ref appTerm 129 ref 3485 ref appTerm 1486 ref 44 ref 2367 ref appTerm 47 ref appTerm 3836 def appTerm 3837 def 3827 ref appTerm 3838 def appTerm 3839 def appTerm 3840 def absTerm 3841 def 47 ref appTerm 3842 def betaConv "z" 1 ref var 3843 def 17 ref 38 ref 41 ref 2371 remove 3843 ref varTerm 3844 def appTerm appTerm 129 ref 44 ref 3844 ref appTerm 47 ref appTerm 3845 def appTerm 3846 def 3838 ref appTerm appTerm absTerm appTerm absTerm 3847 def 2372 remove appTerm 3848 def betaConv 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 2370 remove 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 3837 remove 583 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3849 def 2345 ref appTerm 3850 def betaConv 460 ref 34 ref 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 2369 ref 589 ref appTerm 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 1486 ref 591 ref appTerm 583 ref appTerm 3851 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3852 def 2367 ref appTerm 3853 def betaConv nil 34 ref 3852 ref appTerm 3854 def axiom 3855 def nil 399 ref 3854 remove nil cons cons 3856 def 400 ref 3853 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3852 ref nil cons cons 3857 def 460 ref 2367 ref nil cons 3858 def cons nil cons 3859 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 3849 ref appTerm nil cons cons 400 ref 3850 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3849 remove nil cons cons 460 ref 2345 ref nil cons 3860 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 3847 ref appTerm nil cons cons 400 ref 3848 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3847 remove nil cons cons 3496 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 3841 ref appTerm nil cons cons 400 ref 3842 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3841 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3840 remove nil cons cons 400 ref 180 ref 3504 ref appTerm 187 ref 2828 ref 3824 ref appTerm 3861 def appTerm 187 ref 2828 ref 3826 ref appTerm 3862 def appTerm 2196 ref 2828 ref 3827 ref appTerm 3863 def appTerm 3864 def appTerm 3865 def appTerm 3866 def appTerm 3867 def nil cons 3868 def cons nil cons 3869 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 2643 remove cons nil cons nil cons cons 155 ref subst 2373 remove assume eqMp appThm 3839 ref refl appThm nil 150 ref 3839 ref nil cons 3870 def cons nil cons nil cons cons 614 ref subst trans appThm 3867 ref refl appThm sym nil 399 ref 3870 ref cons 3869 remove cons nil cons cons 3871 def 416 ref subst 3871 remove 467 ref subst 129 ref "_48294" 2 ref var 3872 def 180 ref 3482 ref 2196 ref 2828 ref 3872 remove varTerm appTerm appTerm appTerm appTerm 3866 ref appTerm absTerm 3873 def 3485 remove appTerm 3874 def appTerm refl 3873 ref 3838 ref appTerm betaConv appThm 439 ref 3874 remove betaConv appThm 180 ref 3482 ref 2196 ref 2828 ref 3838 remove appTerm appTerm appTerm appTerm 3866 ref appTerm 3875 def refl 3876 def appThm trans 3873 remove refl 3839 remove assume appThm eqMp sym nil 2904 ref 3858 remove cons 2909 ref 3472 remove cons 580 ref 2343 ref nil cons 3877 def cons 460 ref 2335 ref nil cons 3878 def cons nil cons 3879 def cons cons cons nil cons cons 2904 ref 129 ref 2918 remove appTerm 42 ref "Hardware.xor2" const 2363 ref constTerm 3880 def 589 ref appTerm 581 ref appTerm 3881 def 2910 ref appTerm appTerm "Hardware.and2" const 2363 ref constTerm 3882 def 589 ref appTerm 581 ref appTerm 3883 def 2905 ref appTerm appTerm appTerm absTerm 3884 def 2905 ref appTerm 3885 def betaConv 2909 ref 34 ref 3884 ref appTerm 3886 def absTerm 3887 def 2910 ref appTerm 3888 def betaConv 580 ref 34 ref 3887 ref appTerm 3889 def absTerm 3890 def 581 ref appTerm 3891 def betaConv 460 ref 34 ref 3890 ref appTerm 3892 def absTerm 3893 def 589 ref appTerm 3894 def betaConv nil 34 ref 3893 ref appTerm 3895 def axiom nil 399 ref 3895 remove nil cons cons 400 ref 3894 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3893 remove nil cons cons 460 ref 589 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3892 remove nil cons cons 400 ref 3891 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3890 remove nil cons cons 460 ref 581 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3889 remove nil cons cons 400 ref 3888 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3887 remove nil cons cons 460 ref 2910 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3886 remove nil cons cons 400 ref 3885 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3884 remove nil cons cons 460 ref 2905 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp subst 2368 remove assume eqMp 3896 def nil 435 ref 3880 remove 2335 ref appTerm 3897 def 2343 ref appTerm 3898 def 2366 ref appTerm 3899 def nil cons 3900 def cons 437 ref 3882 ref 2335 ref appTerm 3901 def 2343 ref appTerm 3902 def 2367 ref appTerm 3903 def nil cons 3904 def cons nil cons cons nil cons cons 3905 def 451 ref subst proveHyp 3896 remove 3905 remove 515 ref subst proveHyp 38 ref 41 ref 3903 ref appTerm 129 ref 3836 ref appTerm 3825 ref 3826 ref appTerm 3906 def appTerm 3907 def appTerm 3908 def absTerm 3909 def 47 ref appTerm 3910 def betaConv 3843 ref 17 ref 38 ref 41 ref 3902 remove 3844 ref appTerm appTerm 3846 ref 3906 ref appTerm appTerm absTerm appTerm absTerm 3911 def 2367 remove appTerm 3912 def betaConv 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 3901 remove 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 3825 remove 583 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3913 def 2343 ref appTerm 3914 def betaConv 460 ref 34 ref 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 3883 remove 3844 ref appTerm appTerm 3846 ref 42 ref 591 ref appTerm 583 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3915 def 2335 ref appTerm 3916 def betaConv nil 34 ref 3915 ref appTerm 3917 def axiom 3918 def nil 399 ref 3917 remove nil cons cons 3919 def 400 ref 3916 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3915 ref nil cons cons 3920 def 3879 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 3913 ref appTerm nil cons cons 400 ref 3914 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3913 remove nil cons cons 460 ref 3877 ref cons nil cons 3921 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 3911 ref appTerm nil cons cons 400 ref 3912 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3911 remove nil cons cons 3859 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 3909 ref appTerm nil cons cons 400 ref 3910 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3909 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3908 remove nil cons cons 400 ref 3875 remove nil cons 3922 def cons nil cons 3923 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 3904 remove cons nil cons nil cons cons 155 ref subst 3903 remove assume eqMp appThm 3907 ref refl appThm nil 150 ref 3907 ref nil cons 3924 def cons nil cons nil cons cons 614 ref subst trans appThm 3876 remove appThm sym nil 399 ref 3924 ref cons 3923 remove cons nil cons cons 3925 def 416 ref subst 3925 remove 467 ref subst 129 ref "_48296" 2 ref var 3926 def 180 ref 3482 ref 2196 ref 2828 ref 1486 ref 3926 remove varTerm appTerm 3827 ref appTerm appTerm appTerm appTerm appTerm 3866 ref appTerm absTerm 3927 def 3836 remove appTerm 3928 def appTerm refl 3927 ref 3906 ref appTerm betaConv appThm 439 ref 3928 remove betaConv appThm 180 ref 3482 remove 2196 ref 2828 ref 1486 ref 3906 remove appTerm 3827 ref appTerm appTerm appTerm 3929 def appTerm appTerm 3866 ref appTerm 3930 def refl 3931 def appThm trans 3927 remove refl 3907 remove assume appThm eqMp sym 38 ref 41 ref 3899 ref appTerm 129 ref 3452 ref appTerm 77 ref 129 ref 3824 ref appTerm 3932 def 3826 ref appTerm appTerm 3933 def appTerm 3934 def appTerm 3935 def absTerm 3936 def 47 ref appTerm 3937 def betaConv 3843 ref 17 ref 38 ref 41 ref 3898 remove 3844 ref appTerm appTerm 3846 ref 3933 ref appTerm appTerm absTerm appTerm absTerm 3938 def 2366 remove appTerm 3939 def betaConv 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 3897 remove 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 77 ref 3932 ref 583 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3940 def 2343 ref appTerm 3941 def betaConv 460 ref 34 ref 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 3881 remove 3844 ref appTerm appTerm 3846 ref 77 ref 129 ref 591 ref appTerm 583 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3942 def 2335 ref appTerm 3943 def betaConv nil 34 ref 3942 ref appTerm 3944 def axiom nil 399 ref 3944 remove nil cons cons 400 ref 3943 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3942 remove nil cons cons 3879 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 3940 ref appTerm nil cons cons 400 ref 3941 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3940 remove nil cons cons 3921 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 3938 ref appTerm nil cons cons 400 ref 3939 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 3938 remove nil cons cons 3473 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 3936 ref appTerm nil cons cons 400 ref 3937 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 3936 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 3935 remove nil cons cons 400 ref 3930 remove nil cons 3945 def cons nil cons 3946 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 3900 remove cons nil cons nil cons cons 155 ref subst 3899 remove assume eqMp appThm 3934 ref refl appThm nil 150 ref 3934 ref nil cons 3947 def cons nil cons nil cons cons 614 ref subst trans appThm 3931 remove appThm sym nil 399 ref 3947 ref cons 3946 remove cons nil cons cons 3948 def 416 ref subst 3948 remove 467 ref subst 129 ref "_48298" 2 ref var 3949 def 180 ref 187 ref 2828 ref 3949 remove varTerm appTerm appTerm 3929 ref appTerm appTerm 3866 ref appTerm absTerm 3950 def 3452 remove appTerm 3951 def appTerm refl 3950 ref 3933 ref appTerm betaConv appThm 439 ref 3951 remove betaConv appThm 180 ref 187 ref 2828 ref 3933 remove appTerm appTerm 3929 remove appTerm appTerm 3866 ref appTerm 3952 def refl appThm trans 3950 remove refl 3934 remove assume appThm eqMp sym nil 3832 remove 400 ref 3952 ref nil cons cons nil cons cons nil cons cons 459 ref subst nil 399 ref 3932 ref 1407 ref appTerm 3953 def nil cons 3954 def cons 400 ref 41 ref 3830 remove appTerm 3952 remove appTerm nil cons 3955 def cons nil cons 3956 def cons nil cons cons 3957 def 416 ref subst 3957 remove 467 ref subst 129 ref "_48302" 2 ref var 3958 def 41 ref 77 ref 42 ref 3958 remove varTerm 3959 def appTerm 3960 def 3828 ref appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 129 ref 3959 ref appTerm 3826 ref appTerm appTerm appTerm appTerm 2196 ref 2828 ref 1486 ref 3960 remove 3826 ref appTerm appTerm 3827 ref appTerm appTerm appTerm appTerm appTerm 187 ref 2828 ref 3959 remove appTerm appTerm 3865 ref appTerm appTerm appTerm absTerm 3961 def 3824 ref appTerm 3962 def appTerm refl 3963 def 3961 ref 1407 ref appTerm betaConv appThm 439 ref 3962 remove betaConv appThm 3964 def 41 ref 77 ref 1498 ref 3828 ref appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 1798 ref 3826 ref appTerm appTerm appTerm appTerm 2196 ref 2828 ref 1486 ref 1498 ref 3826 ref appTerm appTerm 3827 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3865 ref appTerm appTerm appTerm 3965 def refl appThm trans 3961 remove refl 3966 def 3953 remove assume appThm eqMp sym nil 399 ref 129 ref 3826 ref appTerm 3967 def 1407 ref appTerm 3968 def nil cons 3969 def cons 3970 def 400 ref 3965 remove nil cons 3971 def cons nil cons 3972 def cons nil cons cons 3973 def 416 ref subst 3973 remove 467 ref subst 129 ref "_48310" 2 ref var 3974 def 41 ref 77 ref 1498 ref 42 ref 3974 remove varTerm 3975 def appTerm 3827 ref appTerm appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 1798 ref 3975 ref appTerm appTerm appTerm appTerm 2196 ref 2828 ref 1486 ref 1498 ref 3975 ref appTerm appTerm 3827 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 187 ref 2828 ref 3975 remove appTerm appTerm 3864 ref appTerm appTerm appTerm appTerm absTerm 3976 def 3826 ref appTerm 3977 def appTerm refl 3978 def 3976 ref 1407 ref appTerm betaConv appThm 439 ref 3977 remove betaConv appThm 3979 def 41 ref 77 ref 1498 ref 1498 ref 3827 ref appTerm 3980 def appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 1798 ref 1407 ref appTerm 3981 def appTerm appTerm appTerm 3982 def 2196 ref 2828 ref 1486 ref 1498 ref 1407 ref appTerm 3983 def appTerm 3984 def 3827 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3186 ref 3864 ref appTerm 3985 def appTerm appTerm appTerm 3986 def refl appThm trans 3976 remove refl 3987 def 3968 remove assume 3988 def appThm eqMp sym nil 399 ref 129 ref 3827 ref appTerm 3989 def 1407 ref appTerm 3990 def nil cons 3991 def cons 3992 def 400 ref 3986 remove nil cons 3993 def cons nil cons 3994 def cons nil cons cons 3995 def 416 ref subst 3995 remove 467 ref subst 129 ref "_48326" 2 ref var 3996 def 41 ref 77 ref 1498 ref 1498 ref 3996 remove varTerm 3997 def appTerm appTerm appTerm appTerm 180 ref 3982 ref 2196 ref 2828 ref 3984 ref 3997 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3186 ref 2196 ref 2828 ref 3997 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 3998 def 3827 ref appTerm 3999 def appTerm refl 4000 def 3998 ref 1407 ref appTerm betaConv appThm 439 ref 3999 remove betaConv appThm 4001 def 41 ref 77 ref 1498 ref 3983 ref appTerm appTerm appTerm 180 ref 3982 ref 2196 ref 2828 ref 3984 ref 1407 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3187 ref appTerm appTerm appTerm refl appThm trans 3998 remove refl 4002 def 3990 remove assume 4003 def appThm eqMp sym 165 ref 620 ref nil 150 ref 3983 ref nil cons cons nil cons nil cons cons 4004 def 1506 ref subst appThm 1507 ref trans appThm 1131 ref 1368 ref 2828 ref refl 4005 def 620 ref 1803 ref appThm 1535 ref trans 4006 def appThm 3248 ref trans appThm 4007 def 2814 ref 4005 ref 4004 ref 1954 ref subst 1797 ref 1506 ref subst 4008 def trans appThm 3248 ref trans appThm 3255 ref trans appThm 1265 ref trans appThm 3249 ref 3257 ref appThm 1265 ref trans appThm 1282 ref trans appThm 628 ref 614 ref subst 4009 def trans sym 154 ref eqMp eqMp eqMp nil 435 ref 3991 ref cons 4010 def 437 ref 3993 ref cons nil cons 4011 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 3989 remove 140 ref appTerm 4012 def nil cons 4013 def cons 4014 def 3994 remove cons nil cons cons 4015 def 416 ref subst 4015 remove 467 ref subst 4000 remove "_48324" 2 ref var 4016 def 41 ref 77 ref 1498 ref 1498 ref 4016 remove varTerm 4017 def appTerm appTerm appTerm appTerm 180 ref 3982 ref 2196 ref 2828 ref 3984 ref 4017 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3186 ref 2196 ref 2828 ref 4017 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 4001 remove 41 ref 77 ref 1498 ref 1498 ref 140 ref appTerm 4018 def appTerm appTerm appTerm 180 ref 3982 remove 2196 ref 2828 ref 3984 ref 140 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3355 ref appTerm appTerm appTerm refl appThm trans 4002 remove 4012 remove assume 4019 def appThm eqMp sym 165 ref 620 ref nil 150 ref 4018 ref nil cons cons nil cons nil cons cons 4020 def 1506 ref subst appThm 1507 ref trans appThm 1131 ref 4007 remove 2814 ref 4005 ref 4004 ref 1964 ref subst appThm 3326 ref trans appThm 3366 ref trans appThm 3370 ref trans appThm 3249 ref 3371 ref appThm 3370 ref trans appThm nil 1171 ref nil cons nil cons cons 4021 def nil 1027 ref nil cons cons 1281 ref subst 4022 def subst 4023 def trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 435 ref 4013 remove cons 4024 def 4011 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 3827 ref appTerm 4025 def betaConv 1548 ref nil 1549 ref 400 ref 4025 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 3827 ref nil cons 4026 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 4027 def nil 4024 ref 437 ref 3991 remove cons 4028 def 1553 ref 3993 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 3969 ref cons 4029 def 437 ref 3971 ref cons nil cons 4030 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 3967 remove 140 ref appTerm 4031 def nil cons 4032 def cons 4033 def 3972 remove cons nil cons cons 4034 def 416 ref subst 4034 remove 467 ref subst 3978 remove "_48308" 2 ref var 4035 def 41 ref 77 ref 1498 ref 42 ref 4035 remove varTerm 4036 def appTerm 3827 ref appTerm appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 1798 ref 4036 ref appTerm appTerm appTerm appTerm 2196 ref 2828 ref 1486 ref 1498 ref 4036 ref appTerm appTerm 3827 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 187 ref 2828 ref 4036 remove appTerm appTerm 3864 ref appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 3979 remove 41 ref 77 ref 1498 ref 629 ref 3827 ref appTerm 4037 def appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 1798 ref 140 ref appTerm 4038 def appTerm appTerm appTerm 4039 def 2196 ref 2828 ref 1486 ref 4018 ref appTerm 4040 def 3827 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3308 ref 3864 ref appTerm 4041 def appTerm appTerm appTerm 4042 def refl appThm trans 3987 remove 4031 remove assume 4043 def appThm eqMp sym nil 3992 ref 400 ref 4042 remove nil cons 4044 def cons nil cons 4045 def cons nil cons cons 4046 def 416 ref subst 4046 remove 467 ref subst 129 ref "_48322" 2 ref var 4047 def 41 ref 77 ref 1498 ref 629 ref 4047 remove varTerm 4048 def appTerm appTerm appTerm appTerm 180 ref 4039 ref 2196 ref 2828 ref 4040 ref 4048 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3308 ref 2196 ref 2828 ref 4048 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 4049 def 3827 ref appTerm 4050 def appTerm refl 4051 def 4049 ref 1407 ref appTerm betaConv appThm 439 ref 4050 remove betaConv appThm 4052 def 41 ref 77 ref 1498 ref 629 ref 1407 ref appTerm 4053 def appTerm appTerm appTerm 180 ref 4039 ref 2196 ref 2828 ref 4040 ref 1407 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3309 ref appTerm appTerm appTerm refl appThm trans 4049 remove refl 4054 def 4003 ref appThm eqMp sym 165 ref 620 ref nil 150 ref 4053 ref nil cons cons nil cons nil cons cons 4055 def 1506 ref subst appThm 1507 ref trans appThm 1131 ref 1368 ref 4005 ref 620 ref 628 ref 1802 ref subst 1535 ref trans 4056 def appThm 1507 ref trans 4057 def appThm 3326 ref trans appThm 4058 def 2814 ref 4005 ref 4020 ref 1954 ref subst 628 ref 1506 ref subst 4059 def trans appThm 3248 ref trans appThm 3255 ref trans appThm 3328 ref trans appThm 3249 ref 3329 ref appThm 2054 ref trans appThm 3369 ref 4022 ref subst 4060 def trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 4010 ref 437 ref 4044 ref cons nil cons 4061 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 4014 ref 4045 remove cons nil cons cons 4062 def 416 ref subst 4062 remove 467 ref subst 4051 remove "_48320" 2 ref var 4063 def 41 ref 77 ref 1498 ref 629 ref 4063 remove varTerm 4064 def appTerm appTerm appTerm appTerm 180 ref 4039 ref 2196 ref 2828 ref 4040 ref 4064 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3308 ref 2196 ref 2828 ref 4064 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 4052 remove 41 ref 77 ref 1498 ref 629 ref 140 ref appTerm 4065 def appTerm appTerm appTerm 180 ref 4039 remove 2196 ref 2828 ref 4040 ref 140 ref appTerm appTerm appTerm appTerm appTerm 3186 ref 3377 ref appTerm appTerm appTerm refl appThm trans 4054 remove 4019 ref appThm eqMp sym 165 ref 620 ref nil 150 ref 4065 ref nil cons cons nil cons nil cons cons 4066 def 1506 ref subst appThm 1507 ref trans appThm 1131 ref 4058 remove 2814 ref 4005 ref 4020 ref 1964 ref subst appThm 3326 ref trans appThm 3366 ref trans appThm appThm 3249 ref 3382 ref appThm nil 1003 ref 2714 ref 207 ref appTerm 4067 def nil cons 4068 def cons nil cons nil cons cons 1264 ref subst trans appThm nil 475 ref 4068 remove cons nil cons nil cons cons 1281 ref subst 4069 def trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 4024 ref 4061 remove cons nil cons cons 451 ref subst deductAntisym eqMp 4027 ref nil 4024 ref 4028 ref 1553 ref 4044 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 4032 remove cons 4070 def 4030 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 3826 ref appTerm 4071 def betaConv 1548 ref nil 1549 ref 400 ref 4071 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 3826 ref nil cons 4072 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 4073 def nil 4070 ref 437 ref 3969 remove cons 4074 def 1553 ref 3971 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 3954 ref cons 437 ref 3955 ref cons nil cons 4075 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 3932 remove 140 ref appTerm 4076 def nil cons 4077 def cons 3956 remove cons nil cons cons 4078 def 416 ref subst 4078 remove 467 ref subst 3963 remove "_48300" 2 ref var 4079 def 41 ref 77 ref 42 ref 4079 remove varTerm 4080 def appTerm 4081 def 3828 ref appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 129 ref 4080 ref appTerm 3826 ref appTerm appTerm appTerm appTerm 2196 ref 2828 ref 1486 ref 4081 remove 3826 ref appTerm appTerm 3827 ref appTerm appTerm appTerm appTerm appTerm 187 ref 2828 ref 4080 remove appTerm appTerm 3865 ref appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 3964 remove 41 ref 77 ref 629 ref 3828 ref appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 1518 ref 3826 ref appTerm appTerm appTerm appTerm 2196 ref 2828 ref 1486 ref 629 ref 3826 ref appTerm appTerm 3827 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 3865 ref appTerm appTerm appTerm 4082 def refl appThm trans 3966 remove 4076 remove assume appThm eqMp sym nil 3970 remove 400 ref 4082 remove nil cons 4083 def cons nil cons 4084 def cons nil cons cons 4085 def 416 ref subst 4085 remove 467 ref subst 129 ref "_48306" 2 ref var 4086 def 41 ref 77 ref 629 ref 42 ref 4086 remove varTerm 4087 def appTerm 3827 ref appTerm appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 1518 ref 4087 ref appTerm appTerm appTerm appTerm 2196 ref 2828 ref 1486 ref 629 ref 4087 ref appTerm appTerm 3827 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 187 ref 2828 ref 4087 remove appTerm appTerm 3864 ref appTerm appTerm appTerm appTerm absTerm 4088 def 3826 ref appTerm 4089 def appTerm refl 4090 def 4088 ref 1407 ref appTerm betaConv appThm 439 ref 4089 remove betaConv appThm 4091 def 41 ref 77 ref 629 ref 3980 remove appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 1518 ref 1407 ref appTerm 4092 def appTerm appTerm appTerm 4093 def 2196 ref 2828 ref 1486 ref 4053 ref appTerm 4094 def 3827 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 3985 remove appTerm appTerm appTerm 4095 def refl appThm trans 4088 remove refl 4096 def 3988 remove appThm eqMp sym nil 3992 ref 400 ref 4095 remove nil cons 4097 def cons nil cons 4098 def cons nil cons cons 4099 def 416 ref subst 4099 remove 467 ref subst 129 ref "_48318" 2 ref var 4100 def 41 ref 77 ref 629 ref 1498 ref 4100 remove varTerm 4101 def appTerm appTerm appTerm appTerm 180 ref 4093 ref 2196 ref 2828 ref 4094 ref 4101 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 3186 ref 2196 ref 2828 ref 4101 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 4102 def 3827 ref appTerm 4103 def appTerm refl 4104 def 4102 ref 1407 ref appTerm betaConv appThm 439 ref 4103 remove betaConv appThm 4105 def 41 ref 77 ref 629 ref 3983 ref appTerm appTerm appTerm 180 ref 4093 ref 2196 ref 2828 ref 4094 ref 1407 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 3187 remove appTerm appTerm appTerm refl appThm trans 4102 remove refl 4106 def 4003 ref appThm eqMp sym 165 ref 620 ref 4004 ref 633 ref subst 4008 ref trans appThm 1507 ref trans appThm 1131 ref 1368 ref 4005 ref 620 ref 1797 ref 1522 ref subst 4107 def appThm 1507 ref trans 4108 def appThm 3326 ref trans appThm 4109 def 2814 ref 4005 ref 4055 ref 1954 ref subst 1797 ref 633 ref subst 4110 def trans appThm 3248 ref trans appThm 3255 ref trans appThm 3328 ref trans appThm 3327 ref 3257 remove appThm 3328 ref trans appThm 4060 ref trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 4010 ref 437 ref 4097 ref cons nil cons 4111 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 4014 ref 4098 remove cons nil cons cons 4112 def 416 ref subst 4112 remove 467 ref subst 4104 remove "_48316" 2 ref var 4113 def 41 ref 77 ref 629 ref 1498 ref 4113 remove varTerm 4114 def appTerm appTerm appTerm appTerm 180 ref 4093 ref 2196 ref 2828 ref 4094 ref 4114 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 3186 ref 2196 ref 2828 ref 4114 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 4105 remove 41 ref 77 ref 629 ref 4018 ref appTerm appTerm appTerm 180 ref 4093 remove 2196 ref 2828 ref 4094 ref 140 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 3355 remove appTerm appTerm appTerm refl appThm trans 4106 remove 4019 ref appThm eqMp sym 165 ref 620 ref 4020 ref 633 ref subst 4059 ref trans appThm 1507 ref trans appThm 1131 ref 4109 remove 2814 ref 4005 ref 4055 ref 1964 ref subst appThm 3326 ref trans appThm 3366 ref trans appThm appThm 3327 ref 3371 remove appThm appThm 4069 remove trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 4024 ref 4111 remove cons nil cons cons 451 ref subst deductAntisym eqMp 4027 ref nil 4024 ref 4028 ref 1553 ref 4097 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 4029 remove 437 ref 4083 ref cons nil cons 4115 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 4033 remove 4084 remove cons nil cons cons 4116 def 416 ref subst 4116 remove 467 ref subst 4090 remove "_48304" 2 ref var 4117 def 41 ref 77 ref 629 ref 42 ref 4117 remove varTerm 4118 def appTerm 3827 ref appTerm appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 1518 ref 4118 ref appTerm appTerm appTerm appTerm 2196 ref 2828 ref 1486 ref 629 ref 4118 ref appTerm appTerm 3827 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 187 ref 2828 ref 4118 remove appTerm appTerm 3864 ref appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 4091 remove 41 ref 77 ref 629 ref 4037 remove appTerm appTerm appTerm 180 ref 187 ref 2828 ref 77 ref 1518 ref 140 ref appTerm 4119 def appTerm appTerm appTerm 4120 def 2196 ref 2828 ref 1486 ref 4065 ref appTerm 4121 def 3827 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 4041 remove appTerm appTerm appTerm 4122 def refl appThm trans 4096 remove 4043 remove appThm eqMp sym nil 3992 remove 400 ref 4122 remove nil cons 4123 def cons nil cons 4124 def cons nil cons cons 4125 def 416 ref subst 4125 remove 467 ref subst 129 ref "_48314" 2 ref var 4126 def 41 ref 77 ref 629 ref 629 ref 4126 remove varTerm 4127 def appTerm appTerm appTerm appTerm 180 ref 4120 ref 2196 ref 2828 ref 4121 ref 4127 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 3308 ref 2196 ref 2828 ref 4127 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 4128 def 3827 ref appTerm 4129 def appTerm refl 4130 def 4128 ref 1407 ref appTerm betaConv appThm 439 ref 4129 remove betaConv appThm 4131 def 41 ref 77 ref 629 ref 4053 ref appTerm appTerm appTerm 180 ref 4120 ref 2196 ref 2828 ref 4121 ref 1407 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 3309 remove appTerm appTerm appTerm refl appThm trans 4128 remove refl 4132 def 4003 remove appThm eqMp sym 165 ref 620 ref 4055 ref 633 ref subst 4110 ref trans appThm 1507 ref trans appThm 1131 ref 1368 ref 4005 ref 620 ref 1523 ref appThm 1535 ref trans 4133 def appThm 3248 ref trans appThm 4134 def 2814 ref 4005 ref 4066 ref 1954 remove subst 634 ref trans appThm 3326 ref trans appThm 3366 ref trans appThm 3370 ref trans appThm 3327 ref 3329 remove appThm 2126 ref trans appThm 4023 ref trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 4010 remove 437 ref 4123 ref cons nil cons 4135 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 4014 remove 4124 remove cons nil cons cons 4136 def 416 ref subst 4136 remove 467 ref subst 4130 remove "_48312" 2 ref var 4137 def 41 ref 77 ref 629 ref 629 ref 4137 remove varTerm 4138 def appTerm appTerm appTerm appTerm 180 ref 4120 ref 2196 ref 2828 ref 4121 ref 4138 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 3308 ref 2196 ref 2828 ref 4138 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 4131 remove 41 ref 77 ref 629 ref 4065 ref appTerm appTerm appTerm 180 ref 4120 remove 2196 ref 2828 ref 4121 ref 140 ref appTerm appTerm appTerm appTerm appTerm 3308 ref 3377 remove appTerm appTerm appTerm refl appThm trans 4132 remove 4019 remove appThm eqMp sym 165 ref 620 ref 4066 ref 633 ref subst 634 ref trans appThm 1535 ref trans appThm 1131 ref 4134 remove 2814 ref 4005 ref 4066 ref 1964 ref subst appThm 3326 ref trans appThm 3366 ref trans appThm 3370 ref trans appThm 3327 ref 3382 remove appThm appThm appThm nil 150 ref 180 ref 207 ref appTerm 4139 def 2714 ref 4067 remove appTerm appTerm nil cons cons nil cons nil cons cons 1865 ref subst trans sym 154 ref eqMp eqMp eqMp nil 4024 ref 4135 remove cons nil cons cons 451 ref subst deductAntisym eqMp 4027 remove nil 4024 remove 4028 remove 1553 ref 4123 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 4070 ref 4115 remove cons nil cons cons 451 ref subst deductAntisym eqMp 4073 remove nil 4070 remove 4074 remove 1553 ref 4083 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 4077 remove cons 4140 def 4075 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 3824 ref appTerm 4141 def betaConv 1548 ref nil 1549 ref 400 ref 4141 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 3824 ref nil cons 4142 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 4140 remove 437 ref 3954 remove cons 1553 ref 3955 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 435 ref 3947 remove cons 437 ref 3945 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 3924 remove cons 437 ref 3922 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp eqMp nil 435 ref 3870 remove cons 437 ref 3868 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp 129 ref "_48292" 14 ref var 4143 def 180 ref 3755 ref 2800 ref 4143 remove varTerm appTerm 193 ref appTerm appTerm appTerm 689 ref appTerm absTerm 4144 def 3504 remove appTerm 4145 def appTerm refl 4144 ref 3866 ref appTerm betaConv appThm 439 ref 4145 remove betaConv appThm 180 ref 3755 remove 2800 ref 3866 remove appTerm 193 ref appTerm appTerm appTerm 4146 def 689 ref appTerm refl appThm trans 4144 remove refl 3867 remove assume appThm eqMp sym 129 ref "_48328" 14 ref var 4147 def 4146 ref 4147 remove varTerm appTerm absTerm 4148 def 689 ref appTerm 4149 def appTerm refl 4148 ref 2201 ref appTerm betaConv appThm 439 ref 4149 remove betaConv appThm 4146 ref 2201 ref appTerm refl appThm trans 4148 remove refl 2203 remove assume 4150 def sym 4151 def appThm eqMp sym nil 471 remove 2661 ref 2662 ref 2663 ref 2327 remove appTerm 4152 def appTerm 2662 ref 2332 remove appTerm 2663 ref 2335 remove appTerm 4153 def appTerm 4154 def appTerm 4155 def nil cons cons nil cons cons nil cons cons 2684 ref subst 2330 ref 191 ref appTerm 4156 def refl 2317 remove assume appThm 4155 ref refl appThm trans sym 180 ref 208 ref appTerm 4157 def refl 4158 def nil 1231 ref 2719 ref nil cons 4159 def cons nil cons cons 1210 ref subst appThm sym 4158 ref 2128 ref appThm nil 475 ref 2084 ref cons nil cons 4160 def nil cons cons 1281 ref subst 4161 def trans sym 154 ref eqMp eqMp 129 ref "_48332" 14 ref var 4162 def 4156 ref 4162 remove varTerm appTerm 4155 ref appTerm absTerm 4163 def 208 ref appTerm 4164 def appTerm refl 4163 ref 2714 ref 193 ref appTerm 4165 def appTerm betaConv appThm 439 ref 4164 remove betaConv appThm 4156 ref 4165 ref appTerm 4155 ref appTerm 4166 def refl appThm trans 4163 remove refl 4157 ref 4165 ref appTerm assume appThm eqMp sym 625 ref nil 2690 ref 2926 remove cons 4167 def 2693 ref 472 ref cons cons nil cons cons 2711 ref subst 3515 remove trans appThm 2330 ref refl 4168 def 2054 ref appThm 193 ref refl 4169 def appThm 4154 ref refl appThm appThm nil 150 ref 2331 remove 193 ref appTerm 4154 ref appTerm nil cons 4170 def cons nil cons nil cons cons 633 ref subst trans sym 2334 ref refl 4168 remove nil 2091 ref 4159 ref cons 4171 def nil cons cons 1210 ref subst appThm 2100 ref appThm 4153 ref refl appThm appThm sym 3641 remove nil 2690 ref 3878 remove cons 4172 def 707 ref 1230 ref cons 4173 def 472 ref cons cons nil cons cons 2711 ref subst nil 150 ref 2622 remove cons nil cons nil cons cons 155 ref subst 2336 remove assume eqMp trans appThm 634 ref trans sym 154 ref eqMp eqMp nil 399 ref 2334 remove 2330 ref 2715 ref appTerm 192 ref appTerm 4153 ref appTerm appTerm nil cons cons 400 ref 4170 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 4153 remove nil cons 4174 def cons 3761 remove 1237 ref 1239 ref 695 ref 1236 ref cons 4175 def 472 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 42 ref 4156 remove 192 ref appTerm 4152 ref appTerm appTerm 2330 remove 2713 ref appTerm 193 ref appTerm 4154 ref appTerm appTerm nil cons cons 400 ref 4166 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 4154 remove nil cons 4176 def cons 2661 ref 4152 remove nil cons 4177 def cons 1231 ref 2719 ref 2720 ref 472 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 4178 def 129 ref "_48330" 8 ref var 4179 def 4146 ref 187 ref 726 ref 728 ref 4179 remove varTerm appTerm 47 ref appTerm appTerm appTerm 2200 ref appTerm appTerm absTerm 4180 def 56 ref appTerm 4181 def appTerm refl 4180 ref 4155 ref appTerm betaConv appThm 439 ref 4181 remove betaConv appThm 4146 ref 187 ref 726 ref 728 ref 4155 ref appTerm 47 ref appTerm appTerm appTerm 4182 def 2200 ref appTerm 4183 def appTerm refl appThm trans 4180 remove refl 2666 ref 4155 ref appTerm 56 ref appTerm assume sym 4184 def appThm eqMp sym nil 473 remove 2661 ref 2662 ref 2339 remove appTerm 2662 ref 2663 ref 2343 remove appTerm 4185 def appTerm 2663 ref 2345 remove appTerm 4186 def appTerm 4187 def appTerm 4188 def nil cons cons nil cons cons nil cons cons 2684 ref subst 2338 ref refl 2318 remove assume appThm 4188 ref refl appThm trans sym 4158 remove 2127 remove appThm 4161 remove trans sym 154 ref eqMp 4189 def 129 ref "_48336" 14 ref var 4190 def 2338 ref 4190 remove varTerm appTerm 4188 ref appTerm absTerm 4191 def 208 ref appTerm 4192 def appTerm refl 4191 ref 189 ref 2714 ref 192 ref appTerm 4193 def appTerm 4194 def appTerm betaConv appThm 439 ref 4192 remove betaConv appThm 2338 remove 4194 ref appTerm 4188 ref appTerm 4195 def refl appThm trans 4191 remove refl 4157 remove 4194 ref appTerm assume appThm eqMp sym 3749 remove 2337 ref refl nil 2091 ref nil cons 4196 def nil cons cons 1264 ref subst appThm 4193 ref refl 4197 def appThm 4187 ref refl appThm appThm nil 150 ref 2337 ref 188 ref appTerm 4198 def 4193 ref appTerm 4187 ref appTerm nil cons 4199 def cons nil cons nil cons cons 633 ref subst trans sym 625 ref nil 2690 ref 3877 remove cons 4200 def 707 ref 1238 ref cons 474 ref cons cons nil cons cons 2711 ref subst nil 150 ref 2626 remove cons nil cons nil cons cons 155 ref subst 2344 remove assume eqMp trans appThm nil 2690 ref 3860 remove cons 4201 def 4173 remove 474 ref cons cons nil cons cons 2711 ref subst nil 150 ref 2628 remove cons nil cons nil cons cons 155 ref subst 2346 remove assume eqMp trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 4198 remove 192 ref appTerm 4185 ref appTerm appTerm 2337 ref 193 ref appTerm 192 ref appTerm 4186 ref appTerm appTerm nil cons cons 400 ref 4199 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 4186 remove nil cons 4202 def cons 2661 ref 4185 remove nil cons 4203 def cons 1237 ref 2719 ref 695 ref 1238 ref cons 4204 def 474 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 2341 remove 2337 remove 1259 ref 188 ref appTerm appTerm 4193 ref appTerm 4187 ref appTerm appTerm nil cons cons 400 ref 4195 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 4187 remove nil cons 4205 def cons 3823 remove 1003 ref 4193 ref nil cons 4206 def cons 4207 def 1239 ref 2720 ref 474 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 4208 def 129 ref "_48334" 8 ref var 4209 def 4146 ref 4182 ref 2196 ref 726 ref 728 ref 4209 remove varTerm appTerm 47 ref appTerm appTerm appTerm appTerm appTerm absTerm 4210 def 57 ref appTerm 4211 def appTerm refl 4210 ref 4188 ref appTerm betaConv appThm 439 ref 4211 remove betaConv appThm 4146 remove 4182 ref 2196 ref 726 ref 728 ref 4188 ref appTerm 47 ref appTerm appTerm 4212 def appTerm appTerm 4213 def appTerm refl appThm trans 4210 remove refl 2666 ref 4188 ref appTerm 57 ref appTerm assume sym 4214 def appThm eqMp sym 1131 ref 1368 ref 1368 ref 2898 ref refl 4215 def nil 1003 ref 2946 ref nil cons 4216 def cons nil cons nil cons cons 1003 ref 180 ref 2857 ref appTerm 4217 def 2856 remove appTerm 4218 def absTerm 4219 def 1011 ref appTerm 4220 def betaConv 603 ref 1003 ref 4218 remove assume sym 2858 remove assume sym deductAntisym absThm appThm 2862 remove eqMp nil 399 ref 17 ref 4219 ref appTerm nil cons cons 400 ref 4220 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4219 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 4221 def subst appThm appThm nil 1003 ref 2950 ref nil cons 4222 def cons nil cons nil cons cons 4221 ref subst appThm appThm nil 3220 ref "n2" 14 ref var 4223 def 3865 remove nil cons cons "n1" 14 ref var 4224 def 3861 ref nil cons 4225 def cons nil cons cons cons nil cons cons 4223 ref 180 ref 2800 ref 187 ref 4224 ref varTerm 4226 def appTerm 4227 def 4223 ref varTerm 4228 def appTerm appTerm 710 ref appTerm appTerm 187 ref 2800 ref 4226 ref appTerm 710 ref appTerm appTerm 2800 ref 4228 ref appTerm 710 ref appTerm 4229 def appTerm appTerm absTerm 4230 def 4228 ref appTerm 4231 def betaConv 4224 ref 17 ref 4230 ref appTerm 4232 def absTerm 4233 def 4226 ref appTerm 4234 def betaConv 695 ref 17 ref 4233 ref appTerm 4235 def absTerm 4236 def 710 ref appTerm 4237 def betaConv nil 17 ref 4236 ref appTerm 4238 def axiom nil 399 ref 4238 remove nil cons cons 400 ref 4237 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4236 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4235 remove nil cons cons 400 ref 4234 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4233 remove nil cons cons 475 ref 4226 ref nil cons 4239 def cons nil cons 4240 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4232 remove nil cons cons 400 ref 4231 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4230 remove nil cons cons 475 ref 4228 ref nil cons 4241 def cons nil cons 4242 def cons nil cons cons 469 ref subst eqMp eqMp 4243 def subst 187 ref 2800 ref 3861 remove appTerm 4244 def 193 ref appTerm 4245 def appTerm 4246 def refl 4247 def nil 3220 ref 4223 ref 3864 remove nil cons cons 4224 ref 3862 ref nil cons 4248 def cons nil cons 4249 def cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 3862 remove appTerm 4250 def 193 ref appTerm 4251 def appTerm 4252 def refl 4253 def 2800 ref refl 4254 def nil 1003 ref 3863 ref nil cons cons nil cons 4255 def nil cons cons 4221 ref subst appThm 4169 remove appThm nil "k2" 14 ref var 4256 def 1230 ref cons "k1" 14 ref var 4257 def 1236 ref cons 4258 def 4255 ref cons 4259 def cons nil cons cons 4256 ref 180 ref 2800 ref 2855 ref 4257 ref varTerm 4260 def appTerm appTerm 4256 ref varTerm 4261 def appTerm 4262 def appTerm 4263 def 2855 ref 187 ref 4260 ref appTerm 4261 ref appTerm 4264 def appTerm 4265 def appTerm 4266 def absTerm 4267 def 4261 ref appTerm 4268 def betaConv 4257 ref 17 ref 4267 ref appTerm 4269 def absTerm 4270 def 4260 ref appTerm 4271 def betaConv 1003 ref 17 ref 4270 ref appTerm 4272 def absTerm 4273 def 1011 ref appTerm 4274 def betaConv 603 ref 1003 ref 603 ref 4257 ref 603 ref 4256 ref 4266 remove assume sym 180 ref 4265 remove appTerm 4262 remove appTerm 4275 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 17 ref 1003 ref 17 ref 4257 ref 17 ref 4256 ref 4275 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp 4276 def nil 399 ref 17 ref 4273 ref appTerm nil cons cons 400 ref 4274 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4273 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4272 remove nil cons cons 400 ref 4271 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4270 remove nil cons cons 475 ref 4260 ref nil cons 4277 def cons nil cons 4278 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4269 remove nil cons cons 400 ref 4268 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4267 remove nil cons cons 475 ref 4261 ref nil cons 4279 def cons nil cons 4280 def cons nil cons cons 469 ref subst eqMp eqMp 4281 def subst trans appThm trans appThm trans appThm appThm 1368 ref nil 2661 ref 4176 remove cons 470 ref 4177 remove cons nil cons cons nil cons cons 2813 ref subst 4282 def 1368 ref nil 4167 remove nil cons nil cons cons 4283 def 2849 ref subst appThm 4284 def 4254 ref nil 2661 ref 4174 remove cons 2981 remove cons nil cons cons 2813 ref subst 4285 def 2947 remove refl 4286 def 4254 ref nil 4172 remove nil cons nil cons cons 2849 ref subst 4287 def appThm 3760 remove assume 4288 def appThm appThm trans appThm 4283 remove 2853 ref subst 4289 def appThm nil 4175 ref 4223 ref 4244 remove 188 ref appTerm nil cons cons 4224 ref 4216 remove cons nil cons 4290 def cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 2946 remove appTerm 192 ref appTerm 4291 def appTerm 4292 def refl 4293 def nil 4256 ref 1236 ref cons 4294 def 4257 ref 1238 ref cons 4295 def 1003 ref 4225 remove cons nil cons cons cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm nil 1003 ref 4212 remove nil cons cons nil cons nil cons cons 4221 ref subst 4296 def 4254 ref nil 2661 ref 4205 remove cons 2983 remove cons nil cons cons 2813 ref subst 4297 def 2951 remove refl 4298 def 4254 ref nil 2661 ref 4202 remove cons 470 ref 4203 remove cons nil cons cons nil cons cons 2813 ref subst 4299 def 1368 ref nil 4200 remove nil cons nil cons cons 4300 def 2849 ref subst 4301 def appThm 4254 ref nil 4201 remove nil cons nil cons cons 2849 ref subst 4302 def appThm 4300 remove 2853 ref subst 4303 def appThm appThm trans appThm 3822 remove assume 4304 def appThm nil 4204 ref 4223 ref 2800 ref 3863 remove appTerm 4305 def 192 ref appTerm nil cons cons 4249 remove cons cons nil cons cons 4243 ref subst 187 ref 4250 remove 188 ref appTerm 4306 def appTerm 4307 def refl nil 4256 ref 1238 ref cons 4308 def 4259 remove cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm 2100 ref appThm nil 4175 ref 4223 ref 4307 remove 4305 ref 2715 ref appTerm 4309 def appTerm nil cons cons 4224 ref 4222 remove cons nil cons 4310 def cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 2950 remove appTerm 192 ref appTerm 4311 def appTerm 4312 def refl 4313 def nil 4175 ref 4223 ref 4309 remove nil cons cons 4224 ref 4306 remove nil cons cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref nil 4294 ref 4295 ref 1003 ref 4248 remove cons nil cons cons cons nil cons cons 4281 ref subst appThm nil 4294 ref 4257 ref 2715 ref nil cons cons 4314 def 4255 remove cons cons nil cons cons 4281 ref subst appThm trans appThm trans trans trans appThm appThm sym 1131 ref nil 1116 ref 4246 ref 4252 ref 4305 ref 4165 remove appTerm 4315 def appTerm 4316 def appTerm 4317 def nil cons 4318 def cons 1003 ref 4311 ref nil cons 4319 def cons 4320 def 1006 ref 2898 ref 4291 ref appTerm 4321 def nil cons 4322 def cons nil cons 4323 def cons cons nil cons cons 1169 ref subst nil 1116 ref 4312 ref 4317 remove appTerm 4324 def nil cons 4325 def cons 1003 ref 4291 ref nil cons 4326 def cons 1006 ref 2897 ref nil cons 4327 def cons nil cons 4328 def cons 4329 def cons nil cons cons 1169 ref subst trans appThm nil 1116 ref 4312 ref 4252 ref 4305 ref 187 ref 2715 ref appTerm 192 ref appTerm 4330 def appTerm appTerm appTerm nil cons cons 4331 def 1003 ref 4292 ref 4245 ref appTerm nil cons cons 4328 ref cons cons nil cons cons 1169 ref subst 4215 ref nil 4331 remove 1003 ref 4245 ref nil cons 4332 def cons 1006 ref 4326 ref cons nil cons 4333 def cons cons nil cons cons 1169 ref subst 4293 ref 4247 remove 4313 ref 4253 remove 4305 remove refl nil 2073 ref 4171 remove cons nil cons cons 1169 ref subst 4334 def appThm appThm appThm appThm appThm trans appThm trans appThm nil 1116 ref 4292 ref 4246 remove 4312 ref 4316 ref appTerm 4335 def appTerm 4336 def appTerm nil cons cons 1003 ref 4292 ref 4324 ref appTerm nil cons cons 4328 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 4336 remove nil cons cons 1003 ref 4325 remove cons 4333 ref cons cons nil cons cons 1192 ref subst trans trans sym 180 ref 4324 remove appTerm refl 4337 def nil 1003 ref 4335 remove nil cons cons 1006 ref 4332 ref cons nil cons 4338 def cons nil cons cons 1210 ref subst appThm sym 4337 remove nil 1116 ref 4332 remove cons 4339 def 1003 ref 4316 remove nil cons cons 4340 def 1006 ref 4319 remove cons nil cons 4341 def cons cons nil cons cons 1169 ref subst 4313 ref nil 4339 remove 1003 ref 4315 ref nil cons cons 1006 ref 4251 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst 4342 def appThm trans appThm nil 1116 ref 4252 remove 187 ref 4315 remove appTerm 4245 remove appTerm appTerm 4343 def nil cons cons 1003 ref 4318 remove cons 4341 ref cons cons nil cons cons 1192 ref subst trans sym 1131 ref nil 4340 remove 4338 remove cons nil cons cons 1210 ref subst appThm 4343 remove refl appThm sym 4342 remove eqMp eqMp eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp proveHyp eqMp nil 435 ref 3831 ref cons 437 ref 3833 ref cons nil cons 4344 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 3829 ref nil cons 4345 def cons 3834 remove cons nil cons cons 4346 def 416 ref subst 4346 remove 467 ref subst nil 435 ref 4142 ref cons 437 ref 3828 remove nil cons cons nil cons cons nil cons cons 4347 def 451 ref subst 4347 remove 515 ref subst nil 435 ref 4072 ref cons 437 ref 4026 ref cons nil cons cons nil cons cons 4348 def 451 ref subst 4348 remove 515 ref subst 1003 ref 42 ref "Number.Natural.<" const 179 ref constTerm 4349 def 689 ref appTerm 4350 def 1011 ref appTerm appTerm 4351 def 698 ref 1011 ref appTerm 4352 def 738 ref 1285 ref 1285 ref 1285 ref 188 ref appTerm 4353 def appTerm 4354 def appTerm 4355 def appTerm 4356 def appTerm appTerm absTerm 4357 def 738 ref 2188 ref appTerm 4358 def appTerm betaConv sym 625 ref nil 1003 ref 689 ref nil cons 4359 def cons nil cons 4360 def nil cons cons 4361 def nil 150 ref 4349 ref 1011 ref appTerm 4362 def 738 ref 2187 ref 1011 ref appTerm 4363 def appTerm appTerm 4364 def nil cons cons nil cons nil cons cons 155 ref subst 1003 ref 4364 remove absTerm 4365 def 1011 ref appTerm 4366 def betaConv nil 17 ref 4365 ref appTerm 4367 def axiom nil 399 ref 4367 remove nil cons cons 400 ref 4366 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4365 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp subst appThm nil 1003 ref 4355 ref nil cons cons 1006 ref 2188 ref nil cons 4368 def cons 4369 def 475 ref 1170 remove cons nil cons cons cons nil cons cons 1003 ref 129 ref 698 ref 737 ref 689 ref appTerm 4370 def 1009 ref appTerm appTerm 4370 ref 1011 ref appTerm appTerm appTerm 3050 remove 0 ref 2 ref 40 remove nil cons cons opType constTerm 4371 def 1880 ref 191 ref appTerm appTerm 41 ref 1106 ref 191 ref appTerm 4372 def appTerm 2184 ref appTerm appTerm 1486 ref 1880 remove 192 ref appTerm appTerm 1012 ref appTerm appTerm appTerm absTerm 4373 def 1011 ref appTerm 4374 def betaConv 1006 ref 17 ref 4373 ref appTerm 4375 def absTerm 4376 def 1009 ref appTerm 4377 def betaConv 475 ref 17 ref 4376 ref appTerm 4378 def absTerm 4379 def 689 ref appTerm 4380 def betaConv nil 17 ref 4379 ref appTerm 4381 def axiom nil 399 ref 4381 remove nil cons cons 400 ref 4380 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4379 remove nil cons cons 475 ref 4359 ref cons nil cons 4382 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4378 remove nil cons cons 400 ref 4377 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4376 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4375 remove nil cons cons 400 ref 4374 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4373 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm nil 150 ref 4371 ref 4139 ref 191 ref appTerm 4383 def appTerm 41 ref 180 ref 2188 ref appTerm 191 ref appTerm appTerm 180 ref 4355 ref appTerm 191 ref appTerm appTerm 4384 def appTerm 1486 ref 4139 ref 192 ref appTerm appTerm 2189 ref 4355 remove appTerm 4385 def appTerm appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym 4371 ref refl 4386 def 1131 ref 1131 ref 2110 ref 2114 ref appThm 1258 ref 1300 remove subst 1301 ref 2113 remove appThm trans trans 4387 def appThm 1301 ref 2114 ref appThm 4388 def appThm nil 475 ref 1285 ref 2111 ref appTerm 4389 def nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp 4390 def appThm 1266 ref appThm 3369 ref 1003 ref 77 ref 2116 remove 191 ref appTerm 4391 def appTerm 4392 def absTerm 4393 def 1011 ref appTerm 4394 def betaConv nil 17 ref 4393 ref appTerm 4395 def axiom 4396 def nil 399 ref 4395 remove nil cons cons 4397 def 400 ref 4394 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4393 ref nil cons cons 4398 def 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4392 remove nil cons cons 400 ref 129 ref 4391 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 435 ref 4391 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp 4399 def subst trans 4400 def appThm 4384 ref refl appThm 1508 ref 1301 ref 2054 ref appThm 1258 ref 2120 ref 1011 ref appTerm 4401 def betaConv 2123 remove 2124 remove 515 ref subst proveHyp 4402 def nil 435 ref 2119 remove nil cons 4403 def cons 437 ref 2121 remove nil cons 4404 def cons nil cons cons nil cons cons 4405 def 515 ref subst proveHyp nil 399 ref 4404 remove cons 400 ref 4401 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2120 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 4406 def subst 2110 ref 2125 ref appThm trans 4407 def trans 4408 def nil 1245 remove 1171 ref 2073 ref nil cons cons cons nil cons cons 129 ref "_9323" 14 ref var 4409 def 129 ref 180 ref 4409 remove varTerm appTerm 1117 ref appTerm appTerm 1407 ref appTerm absTerm 4410 def 1011 ref appTerm 4411 def appTerm refl 4410 ref 1285 ref 1118 ref appTerm 4412 def appTerm betaConv appThm 439 ref 4411 remove betaConv appThm 129 ref 180 ref 4412 ref appTerm 4413 def 1117 ref appTerm 4414 def appTerm 1407 ref appTerm refl appThm trans 4410 remove refl 4413 ref 1011 ref appTerm assume sym appThm eqMp sym nil 150 ref 4414 remove nil cons cons nil cons nil cons cons 150 ref 129 ref 1544 remove appTerm 1408 remove appTerm absTerm 4415 def 151 ref appTerm 4416 def betaConv nil 607 ref 4415 ref appTerm 4417 def axiom nil 399 ref 4417 remove nil cons cons 400 ref 4416 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 4415 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 4418 def subst 620 ref nil 1003 ref 1167 ref cons 1006 ref 4412 ref nil cons 4419 def cons nil cons cons nil cons cons 4420 def 1003 ref 1108 remove 42 ref 1012 ref appTerm 4421 def 4352 ref 1009 ref appTerm 4422 def appTerm 4423 def appTerm 4424 def absTerm 4425 def 1011 ref appTerm 4426 def betaConv 1006 ref 17 ref 4425 ref appTerm 4427 def absTerm 4428 def 1009 ref appTerm 4429 def betaConv 603 ref 1006 ref 603 ref 1003 ref 4424 remove assume sym 129 ref 4423 remove appTerm 1107 ref appTerm 4430 def assume sym deductAntisym absThm appThm absThm appThm nil 17 ref 1006 ref 17 ref 1003 ref 4430 remove absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 17 ref 4428 ref appTerm nil cons cons 400 ref 4429 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4428 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4427 remove nil cons cons 400 ref 4426 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4425 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 4431 def subst appThm nil 1811 ref 698 ref 1117 ref appTerm 4412 ref appTerm nil cons cons 1812 ref 698 ref 4412 remove appTerm 1117 ref appTerm nil cons cons nil cons cons nil cons cons 1811 ref 129 ref 77 ref 42 ref 1814 ref appTerm 4432 def 1816 ref appTerm 4433 def appTerm 4434 def appTerm 1486 ref 77 ref 1814 ref appTerm 4435 def appTerm 77 ref 1816 ref appTerm 4436 def appTerm 4437 def appTerm 4438 def absTerm 4439 def 1816 ref appTerm 4440 def betaConv 1812 ref 607 ref 4439 ref appTerm 4441 def absTerm 4442 def 1814 ref appTerm 4443 def betaConv nil 607 ref 4442 ref appTerm 4444 def axiom nil 399 ref 4444 remove nil cons cons 400 ref 4443 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 4442 remove nil cons cons 1825 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4441 remove nil cons cons 400 ref 4440 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 4439 remove nil cons cons 1826 ref cons nil cons cons 469 ref subst eqMp eqMp 4445 def subst trans trans sym 1508 ref 4420 ref 1003 ref 129 ref 77 ref 1012 ref appTerm 4446 def appTerm 4362 ref 1009 ref appTerm 4447 def appTerm 4448 def absTerm 4449 def 1011 ref appTerm 4450 def betaConv 1006 ref 17 ref 4449 ref appTerm 4451 def absTerm 4452 def 1009 ref appTerm 4453 def betaConv nil 17 ref 4452 ref appTerm 4454 def axiom 4455 def nil 399 ref 4454 remove nil cons cons 400 ref 4453 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4452 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4451 remove nil cons cons 400 ref 4450 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4449 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 4456 def subst nil 1003 ref 4419 remove cons 1006 ref 1167 ref cons nil cons 4457 def cons nil cons cons 4458 def 1003 ref 129 ref 4349 ref 1009 ref appTerm 4459 def 1011 ref appTerm 4460 def appTerm 4461 def 167 ref 1014 ref 1015 ref 1016 ref 1285 ref 1017 ref appTerm 4462 def appTerm appTerm absTerm appTerm appTerm absTerm 4463 def 1011 ref appTerm 4464 def betaConv 1006 ref 17 ref 4463 ref appTerm 4465 def absTerm 4466 def 1009 ref appTerm 4467 def betaConv nil 17 ref 4466 ref appTerm 4468 def axiom nil 399 ref 4468 remove nil cons cons 400 ref 4467 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4466 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4465 remove nil cons cons 400 ref 4464 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4463 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 4469 def subst trans 1597 ref 1014 ref 4413 ref refl nil 1003 ref 2499 ref cons 4470 def 4457 remove cons nil cons cons 1324 ref subst appThm absThm appThm trans appThm 4458 remove 4456 ref subst 4420 remove 4469 ref subst trans 1597 ref 1014 ref 180 ref 1117 ref appTerm 4471 def refl nil 1003 ref 4462 ref nil cons 4472 def cons 1006 ref 1707 ref cons nil cons 4473 def cons nil cons cons 1313 ref subst 1301 ref nil 4470 ref 4473 remove cons nil cons cons 1324 ref subst appThm trans appThm absThm appThm trans appThm sym nil 399 ref 1486 ref 167 ref 1014 ref 4413 ref 1285 ref 1696 ref 1017 ref appTerm appTerm appTerm 4474 def absTerm 4475 def appTerm 4476 def appTerm 167 ref 1014 ref 4471 ref 1285 ref 1285 ref 187 ref 1118 ref appTerm 1017 ref appTerm appTerm appTerm appTerm 4477 def absTerm 4478 def appTerm 4479 def appTerm 4480 def nil cons cons nil cons nil cons cons 1421 ref subst sym nil 399 ref 77 ref 4480 remove appTerm 4481 def nil cons 4482 def cons 1425 ref cons nil cons cons 4483 def 416 ref subst 4483 remove 467 ref subst 1203 ref nil 1205 ref 1425 ref cons nil cons cons 4484 def 459 ref subst proveHyp 4484 ref 416 ref subst 4484 remove 467 ref subst nil "_9326" 14 ref var 4485 def 1167 remove cons "_9325" 14 ref var 4486 def 1024 ref cons nil cons cons nil cons cons 1003 ref 180 ref 187 ref 4486 remove varTerm 4487 def appTerm 1011 ref appTerm appTerm 1083 ref 4487 ref appTerm appTerm absTerm 4488 def 4485 remove varTerm 4489 def appTerm 4490 def betaConv 1199 ref 4487 ref appTerm 4491 def betaConv nil 1205 ref 400 ref 4491 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 1207 ref 475 ref 4487 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 4488 ref appTerm nil cons cons 400 ref 4490 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4488 remove nil cons cons 475 ref 4489 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp subst nil 399 ref 1119 remove 1697 ref appTerm nil cons cons 400 ref 4413 ref 1285 ref 1697 ref appTerm appTerm nil cons 4492 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil "_9330" 14 ref var 4493 def 1709 remove cons "_9329" 14 ref var 4494 def 1707 remove cons nil cons cons nil cons cons nil 399 ref 180 ref 4494 remove varTerm 4495 def appTerm 4493 remove varTerm 4496 def appTerm 4497 def nil cons 4498 def cons 400 ref 180 ref 1285 ref 4495 remove appTerm appTerm 1285 ref 4496 remove appTerm appTerm nil cons 4499 def cons nil cons cons nil cons cons 4500 def 416 ref subst 4500 remove 467 ref subst 1301 ref 4497 remove assume appThm eqMp nil 435 ref 4498 remove cons 437 ref 4499 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp subst eqMp nil 399 ref 4492 remove cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil "_9327" 14 ref var 4501 def 1024 ref cons nil cons nil cons cons nil 399 ref 4413 remove 1285 ref 1696 ref 4501 remove varTerm 4502 def appTerm appTerm appTerm nil cons cons nil cons nil cons cons 1977 ref subst 1014 ref 77 ref 4474 remove appTerm absTerm 4503 def 4502 ref appTerm 4504 def betaConv nil 399 ref 4476 remove nil cons cons 400 ref 4479 remove nil cons cons nil cons cons nil cons cons nil 1485 ref 400 ref 129 ref 77 ref 1637 remove 403 ref appTerm appTerm appTerm 42 ref 1404 remove appTerm 1488 ref appTerm appTerm nil cons 4505 def cons nil cons 4506 def cons nil cons cons 4507 def 416 ref subst 4507 remove 467 ref subst 129 ref "_534" 2 ref var 4508 def 129 ref 77 ref 1486 ref 4508 remove varTerm 4509 def appTerm 403 ref appTerm appTerm appTerm 42 ref 77 ref 4509 remove appTerm appTerm 1488 ref appTerm appTerm absTerm 4510 def 401 ref appTerm 4511 def appTerm refl 4512 def 4510 ref 1407 ref appTerm betaConv appThm 439 ref 4511 remove betaConv appThm 4513 def 129 ref 77 ref 1537 ref 403 ref appTerm appTerm appTerm 1787 remove 1488 ref appTerm appTerm refl appThm trans 4510 remove refl 4514 def 1502 ref appThm eqMp sym 439 ref 620 ref 432 ref 1541 ref subst 4515 def appThm appThm 1789 remove 1510 ref appThm 1512 ref 633 ref subst 4516 def trans appThm 1542 ref trans sym 154 ref eqMp eqMp eqMp nil 1524 ref 437 ref 4505 ref cons nil cons 4517 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 1528 ref 4506 remove cons nil cons cons 4518 def 416 ref subst 4518 remove 467 ref subst 4512 remove "_532" 2 ref var 4519 def 129 ref 77 ref 1486 ref 4519 remove varTerm 4520 def appTerm 403 ref appTerm appTerm appTerm 42 ref 77 ref 4520 remove appTerm appTerm 1488 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 4513 remove 129 ref 77 ref 1513 ref 403 ref appTerm appTerm appTerm 1795 remove 1488 ref appTerm appTerm refl appThm trans 4514 remove 1534 ref appThm eqMp sym 439 ref 620 ref 432 ref 1517 ref subst 4521 def appThm 1535 ref trans appThm 1796 remove 1510 remove appThm 1512 remove 1506 ref subst 4522 def trans appThm 1803 ref trans sym 154 ref eqMp eqMp eqMp nil 1543 ref 4517 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1551 ref nil 1543 ref 1552 ref 1553 ref 4505 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp subst 625 ref nil 160 ref 4475 ref nil cons cons nil cons nil cons cons 163 ref 439 ref 620 ref 659 ref refl 4523 def 1588 remove appThm appThm appThm 133 ref 1589 remove appTerm refl appThm sym 1590 remove 137 ref 129 ref 77 ref 1611 remove appTerm appTerm 133 ref 1591 remove appTerm appTerm absTerm 4524 def 138 ref appTerm 4525 def betaConv nil 1445 ref 4524 ref appTerm 4526 def axiom nil 399 ref 4526 remove nil cons cons 400 ref 4525 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 1450 ref 1451 ref 4524 remove nil cons cons 1453 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp subst 4527 def subst 603 ref 1014 ref 620 ref 4475 remove 1017 ref appTerm betaConv appThm absThm appThm trans appThm nil 160 ref 4478 ref nil cons cons nil cons nil cons cons 4527 remove subst 603 ref 1014 ref 620 ref 4478 remove 1017 ref appTerm betaConv appThm absThm appThm trans appThm trans 4481 remove assume eqMp nil 435 ref 17 ref 4503 ref appTerm nil cons 4528 def cons 437 ref 17 ref 1014 ref 77 ref 4477 remove appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 451 ref subst proveHyp nil 399 ref 4528 remove cons 400 ref 4504 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4503 remove nil cons cons 475 ref 4502 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 2010 remove 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 4482 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp subst deductAntisym 4408 ref eqMp appThm 4385 ref refl appThm nil 150 ref 4385 remove nil cons 4529 def cons nil cons nil cons cons 1541 ref subst trans appThm nil 1811 ref 4529 remove cons 1812 ref 4384 remove nil cons cons nil cons cons nil cons cons 1419 ref 3210 remove subst 4530 def subst trans sym 2189 ref refl 4531 def nil 1006 ref 4354 ref nil cons 4532 def cons nil cons nil cons cons 1006 ref 1354 ref 1016 ref 192 ref appTerm 4533 def appTerm 4534 def absTerm 4535 def 1009 ref appTerm 4536 def betaConv nil 17 ref 4535 ref appTerm 4537 def axiom 4538 def nil 399 ref 4537 remove nil cons cons 400 ref 4536 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4535 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp 4539 def subst 1368 ref nil 1006 ref 4353 ref nil cons 4540 def cons nil cons nil cons cons 4539 ref subst 1368 ref nil 1240 ref nil cons cons 4541 def 4539 ref subst appThm 2100 ref appThm 2106 remove trans trans appThm 2100 ref appThm nil 2073 ref 4207 ref 1240 ref cons cons nil cons cons 1169 ref subst 1243 ref nil 2073 ref 1237 ref 4159 ref cons 4542 def cons nil cons cons 1169 ref subst 4543 def appThm trans trans trans appThm sym 4531 ref 1243 ref 2714 ref refl 4544 def 2126 ref appThm 4545 def appThm appThm sym 4531 remove 1242 remove 2078 ref subst appThm nil 150 ref 2189 ref 187 ref 193 ref appTerm 4546 def 207 ref appTerm appTerm 4547 def nil cons cons nil cons nil cons cons 155 ref subst 129 ref "_48164" 14 ref var 4548 def 2189 ref 187 ref 4548 remove varTerm appTerm 207 ref appTerm appTerm absTerm 4549 def 710 ref appTerm 4550 def appTerm refl 4549 ref 193 ref appTerm betaConv appThm 439 ref 4550 remove betaConv appThm 4547 remove refl appThm trans 4549 remove refl 3324 remove appThm eqMp 2266 remove assume eqMp eqMp trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 4357 ref nil cons cons 475 ref 4358 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 4357 remove appTerm nil cons cons 400 ref 4350 ref 4356 ref appTerm nil cons 4551 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 4356 ref nil cons 4552 def cons 1006 ref 4359 remove cons nil cons 4553 def cons nil cons cons 1116 ref 41 ref 167 ref 1003 ref 42 ref 4460 ref appTerm 4554 def 4352 ref 1117 ref appTerm 4555 def appTerm 4556 def absTerm 4557 def appTerm 4558 def appTerm 4559 def 4459 ref 1117 ref appTerm 4560 def appTerm 4561 def absTerm 4562 def 1117 ref appTerm 4563 def betaConv 1006 ref 17 ref 4562 ref appTerm 4564 def absTerm 4565 def 1009 ref appTerm 4566 def betaConv nil 17 ref 1006 ref 17 ref 1003 ref 17 ref 1116 ref 41 ref 4556 ref appTerm 4560 ref appTerm absTerm 4567 def appTerm 4568 def absTerm 4569 def appTerm 4570 def absTerm 4571 def appTerm 4572 def axiom nil 399 ref 4572 ref nil cons 4573 def cons 4574 def 400 ref 17 ref 4565 ref appTerm nil cons 4575 def cons nil cons cons nil cons cons 4576 def 459 ref subst proveHyp 4576 ref 416 ref subst 4576 remove 467 ref subst nil 160 ref 4565 remove nil cons cons 4577 def nil cons nil cons cons 164 ref subst 1006 ref nil 150 ref 4564 remove nil cons 4578 def cons nil cons nil cons cons 155 ref subst nil 160 ref 4562 remove nil cons cons 4579 def nil cons nil cons cons 164 ref subst 1116 ref nil 150 ref 4561 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 4558 remove nil cons 4580 def cons 4581 def 400 ref 4560 ref nil cons 4582 def cons nil cons 4583 def cons nil cons cons 4584 def 416 ref subst 4584 remove 467 ref subst nil 4574 ref 4583 ref cons nil cons cons 4585 def 459 ref subst nil 4581 remove 400 ref 41 ref 4572 remove appTerm 4560 ref appTerm 4586 def nil cons 4587 def cons nil cons 4588 def cons nil cons cons 459 ref subst nil 160 ref 1003 ref 41 ref 4557 ref 1011 ref appTerm 4589 def appTerm 4586 ref appTerm 4590 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 4590 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 4589 ref nil cons 4591 def cons 4588 ref cons nil cons cons 4592 def 416 ref subst 4592 remove 467 ref subst 4589 ref betaConv 4589 remove assume eqMp nil 399 ref 4556 remove nil cons 4593 def cons 4594 def 4588 remove cons nil cons cons 4595 def 459 ref subst proveHyp 4595 ref 416 ref subst 4595 remove 467 ref subst 4585 ref 416 ref subst 4585 remove 467 ref subst nil 4594 remove 4583 ref cons nil cons cons 459 ref subst 4567 ref 1117 ref appTerm 4596 def betaConv 4569 ref 1011 ref appTerm 4597 def betaConv 4571 ref 1009 ref appTerm 4598 def betaConv nil 4574 remove 400 ref 4598 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 4571 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4570 remove nil cons cons 400 ref 4597 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4569 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4568 remove nil cons cons 400 ref 4596 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4567 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 4573 remove cons 4599 def 437 ref 4582 remove cons nil cons 4600 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 4593 remove cons 437 ref 4587 remove cons nil cons 4601 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 4591 remove cons 4601 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 4557 ref 689 ref appTerm appTerm 4586 ref appTerm absTerm appTerm nil cons cons 400 ref 4559 remove 4586 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4557 remove nil cons cons 4601 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 4580 remove cons 4600 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 4599 remove 437 ref 4575 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 4575 remove cons 400 ref 4566 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 4577 remove 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4578 remove cons 400 ref 4563 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 4579 remove 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 4602 def subst eqMp nil 399 ref 4551 ref cons 1425 ref cons nil cons cons 459 ref subst nil 150 ref 4551 remove cons nil cons nil cons cons 1412 ref subst nil 1003 ref 4552 ref cons 4603 def 4553 ref cons nil cons cons 1003 ref 129 ref 77 ref 4460 ref appTerm 4604 def appTerm 4422 ref appTerm 4605 def absTerm 4606 def 1011 ref appTerm 4607 def betaConv 1006 ref 17 ref 4606 ref appTerm 4608 def absTerm 4609 def 1009 ref appTerm 4610 def betaConv nil 17 ref 4609 ref appTerm 4611 def axiom 4612 def nil 399 ref 4611 remove nil cons cons 400 ref 4610 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4609 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4608 remove nil cons cons 400 ref 4607 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4606 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 4613 def subst trans sym 129 ref "_48282" 14 ref var 4614 def 698 ref 4356 remove appTerm 4615 def 4614 remove varTerm appTerm absTerm 4616 def 689 ref appTerm 4617 def appTerm refl 4616 ref 2201 ref appTerm betaConv appThm 439 ref 4617 remove betaConv appThm 4615 ref 2201 ref appTerm refl appThm trans 4616 remove refl 4151 ref appThm eqMp sym 4178 remove 129 ref "_48284" 8 ref var 4618 def 4615 ref 187 ref 726 ref 728 ref 4618 remove varTerm appTerm 47 ref appTerm appTerm appTerm 2200 ref appTerm appTerm absTerm 4619 def 56 ref appTerm 4620 def appTerm refl 4619 ref 4155 remove appTerm betaConv appThm 439 ref 4620 remove betaConv appThm 4615 ref 4183 remove appTerm refl appThm trans 4619 remove refl 4184 remove appThm eqMp sym 4208 remove 129 ref "_48288" 8 ref var 4621 def 4615 ref 4182 remove 2196 ref 726 ref 728 ref 4621 remove varTerm appTerm 47 ref appTerm appTerm appTerm appTerm appTerm absTerm 4622 def 57 ref appTerm 4623 def appTerm refl 4622 ref 4188 remove appTerm betaConv appThm 439 ref 4623 remove betaConv appThm 4615 ref 4213 remove appTerm refl appThm trans 4622 remove refl 4214 remove appThm eqMp sym 4615 ref refl 4624 def 1368 ref 4282 remove 4284 remove 4254 ref 4285 remove 4286 remove 4254 ref 4287 remove 4005 ref nil 150 ref 4142 remove cons nil cons nil cons cons 155 ref subst 3824 remove assume eqMp appThm 3326 ref trans trans appThm 4288 remove appThm appThm trans appThm 4289 remove appThm nil 4175 ref 4223 ref 2800 ref 192 ref appTerm 4625 def 188 ref appTerm 4626 def nil cons 4627 def cons 4290 remove cons cons nil cons cons 4243 ref subst 4293 ref nil 4294 ref 4295 remove 3368 ref cons cons nil cons cons 4281 ref subst 4628 def appThm trans trans appThm trans appThm 4296 remove 4254 ref 4297 remove 4298 remove 4254 ref 4299 remove 1368 ref 4301 remove 4005 ref nil 150 ref 4072 remove cons nil cons nil cons cons 155 ref subst 3826 remove assume eqMp appThm 3326 ref trans trans appThm 4254 ref 4302 remove 4005 ref nil 150 ref 4026 remove cons nil cons nil cons cons 155 ref subst 3827 remove assume eqMp appThm 3326 ref trans trans appThm 4303 remove appThm appThm trans appThm 4304 remove appThm nil 4204 remove 4223 ref 4625 ref 192 ref appTerm nil cons cons 4224 ref 1236 ref cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 4626 remove appTerm 4629 def refl nil 4308 remove 4258 ref 3368 ref cons cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm 2100 ref appThm nil 4175 ref 4223 ref 4629 remove 4625 ref 2715 remove appTerm 4630 def appTerm nil cons cons 4310 remove cons cons nil cons cons 4243 ref subst 4313 ref nil 4175 ref 4223 ref 4630 remove nil cons cons 4224 ref 4627 remove cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref 4628 remove appThm nil 4294 ref 4314 remove 3368 remove cons cons nil cons cons 4281 ref subst appThm trans appThm trans trans trans appThm appThm sym 4624 ref nil 1116 ref 4312 ref 187 ref 4625 ref 193 ref appTerm 4631 def appTerm 4625 ref 4330 ref appTerm appTerm appTerm nil cons cons 4632 def 1003 ref 4292 ref 4631 ref appTerm nil cons cons 4328 remove cons cons nil cons cons 1169 ref subst 4215 remove nil 4632 remove 1003 ref 4631 remove nil cons cons 4333 remove cons cons nil cons cons 1169 ref subst 4293 remove 1368 ref nil 3220 remove nil cons nil cons cons 695 ref 180 ref 4625 remove 710 ref appTerm appTerm 2268 ref appTerm absTerm 4633 def 710 ref appTerm 4634 def betaConv nil 17 ref 4633 ref appTerm 4635 def axiom nil 399 ref 4635 remove nil cons cons 400 ref 4634 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4633 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 4636 def subst 738 ref refl 4637 def 4541 remove 1006 ref 180 ref 4533 ref appTerm 1305 ref appTerm 4638 def absTerm 4639 def 1009 ref appTerm 4640 def betaConv 603 ref 1006 ref 4638 remove assume sym 4534 remove assume sym deductAntisym absThm appThm 4538 ref eqMp nil 399 ref 17 ref 4639 ref appTerm nil cons cons 400 ref 4640 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4639 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp 4641 def subst 4642 def appThm 4643 def trans appThm 4644 def 4313 remove 4644 remove nil 695 ref 4330 remove nil cons cons nil cons nil cons cons 4636 remove subst 4637 ref 4334 remove nil 1006 ref 1230 ref cons nil cons 4645 def nil cons cons 1006 ref 180 ref 2714 ref 1009 ref appTerm 4646 def appTerm 1305 ref appTerm 4647 def absTerm 4648 def 1009 ref appTerm 4649 def betaConv 603 ref 1006 ref 4647 remove assume sym 1354 ref 4646 remove appTerm 4650 def assume sym deductAntisym absThm appThm 603 ref 1006 ref 1354 remove refl 3369 ref 1210 ref subst appThm absThm appThm 4538 remove eqMp 4651 def eqMp nil 399 ref 17 ref 4648 ref appTerm nil cons cons 400 ref 4649 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4648 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp subst trans 1301 ref 4642 ref appThm 4652 def trans appThm trans appThm appThm appThm appThm trans appThm trans appThm sym 1003 ref 42 ref 4615 ref 1011 ref appTerm appTerm 4352 ref 2898 remove 4292 remove 187 ref 738 ref 4353 ref appTerm 4653 def appTerm 4654 def 4312 ref 4654 ref 738 ref 4354 ref appTerm 4655 def appTerm 4656 def appTerm 4657 def appTerm 4658 def appTerm appTerm 4659 def appTerm appTerm absTerm 4660 def 4654 ref 4656 ref appTerm 4661 def appTerm betaConv sym 4624 remove nil 1116 ref 4655 ref nil cons 4662 def cons 4663 def 1003 ref 4653 ref nil cons 4664 def cons 4665 def 1006 ref 4664 ref cons 4666 def nil cons cons cons nil cons cons 2078 ref subst 4667 def 1368 ref nil 4665 ref nil cons 4668 def nil cons cons 1003 ref 180 ref 1269 ref appTerm 2857 remove appTerm 4669 def absTerm 4670 def 1011 ref appTerm 4671 def betaConv 603 ref 1003 ref 4669 remove assume sym 4217 remove 1269 remove appTerm 4672 def assume sym deductAntisym absThm appThm nil 17 ref 1003 ref 4672 remove absTerm 4673 def appTerm 4674 def axiom 4675 def eqMp nil 399 ref 17 ref 4670 ref appTerm nil cons cons 400 ref 4671 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4670 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 4676 def subst nil 1003 ref 4540 remove cons 4677 def 1215 ref cons nil cons cons 1003 ref 180 ref 2864 ref 737 ref 1009 ref appTerm 4678 def 1011 ref appTerm 4679 def appTerm 4680 def appTerm 4678 ref 1286 ref appTerm 4681 def appTerm 4682 def absTerm 4683 def 1011 ref appTerm 4684 def betaConv 1006 ref 17 ref 4683 ref appTerm 4685 def absTerm 4686 def 1009 ref appTerm 4687 def betaConv 603 ref 1006 ref 603 ref 1003 ref 4682 remove assume sym 180 ref 4681 remove appTerm 4680 remove appTerm 4688 def assume sym deductAntisym absThm appThm absThm appThm nil 17 ref 1006 ref 17 ref 1003 ref 4688 remove absTerm 4689 def appTerm 4690 def absTerm 4691 def appTerm 4692 def axiom 4693 def eqMp nil 399 ref 17 ref 4686 ref appTerm nil cons cons 400 ref 4687 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4686 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4685 remove nil cons cons 400 ref 4684 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4683 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 4694 def subst trans appThm 4655 remove refl appThm nil 1003 ref 4662 ref cons nil cons nil cons cons 4676 ref subst nil 1003 ref 4532 remove cons 1215 ref cons nil cons cons 4694 ref subst trans trans trans appThm nil 4603 remove nil cons nil cons cons nil 150 ref 4352 ref 1011 ref appTerm 4695 def nil cons cons nil cons nil cons cons 155 ref subst 1003 ref 4695 remove absTerm 4696 def 1011 ref appTerm 4697 def betaConv nil 17 ref 4696 ref appTerm 4698 def axiom nil 399 ref 4698 remove nil cons cons 400 ref 4697 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4696 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 4699 def eqMp 4700 def subst trans sym 154 ref eqMp nil 399 ref 4615 ref 4661 ref appTerm nil cons cons 400 ref 698 ref 4661 ref appTerm 4659 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 698 ref refl 4701 def 4667 remove appThm nil 1116 ref 4658 remove nil cons cons 4329 remove cons nil cons cons 2078 ref subst nil 1116 ref 4657 remove nil cons cons 4665 ref 4323 remove cons cons nil cons cons 2078 ref subst nil 1116 ref 4656 remove nil cons cons 4320 remove 1006 ref 187 ref 4321 remove appTerm 4653 ref appTerm 4702 def nil cons cons nil cons cons 4703 def cons nil cons cons 2078 ref subst nil 4663 remove 4665 remove 1006 ref 187 ref 4702 remove appTerm 4311 remove appTerm 4704 def nil cons 4705 def cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans appThm nil 1116 ref 187 ref 4704 remove appTerm 4653 ref appTerm nil cons cons 1006 ref 4662 remove cons 1003 ref 4654 remove 4653 ref appTerm nil cons cons nil cons cons cons nil cons cons 1116 ref 129 ref 698 ref 1193 ref appTerm 1697 ref appTerm appTerm 4555 ref appTerm absTerm 4706 def 1117 ref appTerm 4707 def betaConv 1003 ref 17 ref 4706 ref appTerm 4708 def absTerm 4709 def 1011 ref appTerm 4710 def betaConv 1006 ref 17 ref 4709 ref appTerm 4711 def absTerm 4712 def 1009 ref appTerm 4713 def betaConv nil 17 ref 4712 ref appTerm 4714 def axiom 4715 def nil 399 ref 4714 remove nil cons cons 4716 def 400 ref 4713 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4712 ref nil cons cons 4717 def 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4711 remove nil cons cons 400 ref 4710 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4709 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4708 remove nil cons cons 400 ref 4707 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4706 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 4718 def subst nil 1116 ref 4705 remove cons 4666 remove 4668 ref cons cons nil cons cons 4718 ref subst trans trans sym 698 ref 4653 ref appTerm refl 4719 def nil 4703 remove nil cons cons 1210 ref subst appThm sym 4719 remove nil 1116 ref 4664 remove cons 1003 ref 4322 remove cons 4341 ref cons cons nil cons cons 2078 ref subst 1368 ref nil 1116 ref 4326 remove cons 1003 ref 4327 remove cons 4341 remove cons cons nil cons cons 2078 ref subst appThm 4653 remove refl appThm trans appThm nil 1006 ref 187 ref 4312 remove 2897 remove appTerm appTerm 4291 remove appTerm nil cons cons 4668 remove cons nil cons cons nil 150 ref 4352 ref 1134 ref appTerm 4720 def nil cons cons nil cons nil cons cons 155 ref subst 1003 ref 4720 remove absTerm 4721 def 1011 ref appTerm 4722 def betaConv 1006 ref 17 ref 4721 ref appTerm 4723 def absTerm 4724 def 1009 ref appTerm 4725 def betaConv nil 17 ref 4724 ref appTerm 4726 def axiom nil 399 ref 4726 remove nil cons cons 400 ref 4725 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4724 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4723 remove nil cons cons 400 ref 4722 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4721 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp 4727 def subst trans sym 154 ref eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 4660 ref nil cons cons 475 ref 4661 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 4660 remove appTerm nil cons cons 400 ref 4615 remove 4659 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 4659 remove nil cons cons 1006 ref 4552 remove cons nil cons cons nil cons cons 1116 ref 41 ref 167 ref 1003 ref 4421 ref 4555 ref appTerm 4728 def absTerm 4729 def appTerm 4730 def appTerm 4731 def 1010 ref 1117 ref appTerm 4732 def appTerm 4733 def absTerm 4734 def 1117 ref appTerm 4735 def betaConv 1006 ref 17 ref 4734 ref appTerm 4736 def absTerm 4737 def 1009 ref appTerm 4738 def betaConv nil 17 ref 1006 ref 17 ref 1003 ref 17 ref 1116 ref 41 ref 4728 ref appTerm 4732 ref appTerm absTerm 4739 def appTerm 4740 def absTerm 4741 def appTerm 4742 def absTerm 4743 def appTerm 4744 def axiom 4745 def nil 399 ref 4744 ref nil cons 4746 def cons 4747 def 400 ref 17 ref 4737 ref appTerm nil cons 4748 def cons nil cons cons nil cons cons 4749 def 459 ref subst proveHyp 4749 ref 416 ref subst 4749 remove 467 ref subst nil 160 ref 4737 remove nil cons cons 4750 def nil cons nil cons cons 164 ref subst 1006 ref nil 150 ref 4736 remove nil cons 4751 def cons nil cons nil cons cons 155 ref subst nil 160 ref 4734 remove nil cons cons 4752 def nil cons nil cons cons 164 ref subst 1116 ref nil 150 ref 4733 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 4730 remove nil cons 4753 def cons 4754 def 400 ref 4732 ref nil cons 4755 def cons nil cons 4756 def cons nil cons cons 4757 def 416 ref subst 4757 remove 467 ref subst nil 4747 ref 4756 ref cons nil cons cons 4758 def 459 ref subst nil 4754 remove 400 ref 41 ref 4744 remove appTerm 4732 remove appTerm 4759 def nil cons 4760 def cons nil cons 4761 def cons nil cons cons 459 ref subst nil 160 ref 1003 ref 41 ref 4729 ref 1011 ref appTerm 4762 def appTerm 4759 ref appTerm 4763 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 4763 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 4762 ref nil cons 4764 def cons 4761 ref cons nil cons cons 4765 def 416 ref subst 4765 remove 467 ref subst 4762 ref betaConv 4762 remove assume eqMp nil 399 ref 4728 remove nil cons 4766 def cons 4767 def 4761 remove cons nil cons cons 4768 def 459 ref subst proveHyp 4768 ref 416 ref subst 4768 remove 467 ref subst 4758 ref 416 ref subst 4758 remove 467 ref subst nil 4767 remove 4756 remove cons nil cons cons 459 ref subst 4739 ref 1117 ref appTerm 4769 def betaConv 4741 ref 1011 ref appTerm 4770 def betaConv 4743 ref 1009 ref appTerm 4771 def betaConv nil 4747 ref 400 ref 4771 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 4743 ref nil cons cons 4772 def 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4742 remove nil cons cons 400 ref 4770 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4741 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4740 remove nil cons cons 400 ref 4769 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4739 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 4746 remove cons 4773 def 437 ref 4755 remove cons nil cons 4774 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 4766 remove cons 437 ref 4760 remove cons nil cons 4775 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 4764 remove cons 4775 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 4729 ref 689 ref appTerm appTerm 4759 ref appTerm absTerm appTerm nil cons cons 400 ref 4731 remove 4759 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4729 remove nil cons cons 4775 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 4753 remove cons 4774 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 4773 remove 437 ref 4748 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 4748 remove cons 400 ref 4738 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 4750 remove 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4751 remove cons 400 ref 4735 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 4752 remove 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 4776 def subst eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp eqMp proveHyp nil 435 ref 3833 ref cons nil cons nil cons cons 1931 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 4345 ref cons 4777 def 4344 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 3829 remove appTerm 4778 def betaConv 1970 ref nil 1971 ref 400 ref 4778 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 4345 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 4777 remove 437 ref 3831 remove cons 1553 ref 3833 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp eqMp proveHyp eqMp proveHyp eqMp proveHyp eqMp eqMp nil 435 ref 3499 remove cons 437 ref 3497 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 3477 remove cons 437 ref 3475 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp appThm 1703 ref appThm eqMp eqMp nil 435 ref 3415 remove cons 4779 def 437 ref 3448 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 3443 remove cons 437 ref 3440 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 4779 ref 437 ref 3403 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp eqMp 162 ref 160 ref 3004 ref nil cons cons 475 ref 3013 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 3004 remove appTerm nil cons cons 400 ref 3003 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1876 ref 2236 ref nil cons cons 4780 def 475 ref 3001 remove nil cons cons nil cons cons nil cons cons 163 ref 1900 ref 41 ref 659 ref 1894 ref 42 ref 1896 ref appTerm 1904 remove appTerm 4781 def absTerm 4782 def appTerm 4783 def appTerm 4784 def 1902 ref appTerm 4785 def absTerm 4786 def 1901 ref appTerm 4787 def betaConv 139 ref 133 ref 4786 ref appTerm 4788 def absTerm 4789 def 463 ref appTerm 4790 def betaConv nil 133 ref 139 ref 133 ref 1894 ref 133 ref 1900 ref 41 ref 4781 ref appTerm 1902 ref appTerm absTerm 4791 def appTerm 4792 def absTerm 4793 def appTerm 4794 def absTerm 4795 def appTerm 4796 def axiom nil 399 ref 4796 ref nil cons 4797 def cons 4798 def 400 ref 133 ref 4789 ref appTerm nil cons 4799 def cons nil cons cons nil cons cons 4800 def 459 ref subst proveHyp 4800 ref 416 ref subst 4800 remove 467 ref subst nil 134 ref 4789 remove nil cons cons 4801 def nil cons nil cons cons 148 ref subst 139 ref nil 150 ref 4788 remove nil cons 4802 def cons nil cons nil cons cons 155 ref subst nil 134 ref 4786 remove nil cons cons 4803 def nil cons nil cons cons 148 ref subst 1900 remove nil 150 ref 4785 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 4783 remove nil cons 4804 def cons 4805 def 400 ref 1902 ref nil cons 4806 def cons nil cons 4807 def cons nil cons cons 4808 def 416 ref subst 4808 remove 467 ref subst nil 4798 ref 4807 ref cons nil cons cons 4809 def 459 ref subst nil 4805 remove 400 ref 41 ref 4796 remove appTerm 1902 remove appTerm 4810 def nil cons 4811 def cons nil cons 4812 def cons nil cons cons 459 ref subst nil 134 ref 1894 ref 41 ref 4782 ref 1895 ref appTerm 4813 def appTerm 4810 ref appTerm 4814 def absTerm nil cons cons nil cons nil cons cons 148 ref subst 1894 ref nil 150 ref 4814 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 4813 ref nil cons 4815 def cons 4812 ref cons nil cons cons 4816 def 416 ref subst 4816 remove 467 ref subst 4813 ref betaConv 4813 remove assume eqMp nil 399 ref 4781 remove nil cons 4817 def cons 4818 def 4812 remove cons nil cons cons 4819 def 459 ref subst proveHyp 4819 ref 416 ref subst 4819 remove 467 ref subst 4809 ref 416 ref subst 4809 remove 467 ref subst nil 4818 remove 4807 remove cons nil cons cons 459 ref subst 4791 ref 1901 ref appTerm 4820 def betaConv 4793 ref 1895 ref appTerm 4821 def betaConv 4795 ref 463 ref appTerm 4822 def betaConv nil 4798 remove 400 ref 4822 remove nil cons cons nil cons cons nil cons cons 459 ref subst 3207 ref 134 ref 4795 remove nil cons cons 3293 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4794 remove nil cons cons 400 ref 4821 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 4793 remove nil cons cons 1936 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4792 remove nil cons cons 400 ref 4820 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 4791 remove nil cons cons 139 ref 1901 remove nil cons cons nil cons 4823 def cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 4797 remove cons 4824 def 437 ref 4806 remove cons nil cons 4825 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 4817 remove cons 437 ref 4811 remove cons nil cons 4826 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 4815 remove cons 4826 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 133 ref "x'" 130 ref var 4827 def 41 ref 4782 ref 4827 remove varTerm appTerm appTerm 4810 ref appTerm absTerm appTerm nil cons cons 400 ref 4784 remove 4810 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 4782 remove nil cons cons 4826 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 4804 remove cons 4825 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 4824 remove 437 ref 4799 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 4799 remove cons 400 ref 4790 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 4801 remove 3293 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4802 remove cons 400 ref 4787 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 4803 remove 4823 remove cons nil cons cons 469 ref subst eqMp eqMp 4828 def subst 4829 def subst eqMp eqMp eqMp nil 435 ref 2995 remove cons 437 ref 2993 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 2935 remove cons 437 ref 2892 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 2827 ref nil cons cons 475 ref 2839 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 2827 remove appTerm nil cons cons 400 ref 2825 remove 2236 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 4780 remove 475 ref 2824 remove nil cons cons nil cons cons nil cons cons 4829 ref subst eqMp eqMp eqMp proveHyp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 2610 remove cons 437 ref 2510 remove cons nil cons 4830 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 2608 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 2433 ref 653 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2434 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2433 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2604 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2435 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2436 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2435 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2600 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 2437 ref 653 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2438 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2437 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2596 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2439 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2440 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2439 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2592 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 2441 ref 653 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2442 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2441 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2588 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2443 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2444 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2443 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2584 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2445 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2446 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2445 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2580 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2447 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2448 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2447 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2576 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 2449 ref 653 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2450 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2449 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2572 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2451 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2452 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2451 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2568 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 2453 ref 653 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2454 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2453 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2564 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2455 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2456 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2455 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2560 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 2457 ref 653 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2458 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2457 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2556 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 2459 ref 653 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2460 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2459 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2552 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 2461 ref 653 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2462 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2461 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2548 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2463 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2464 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2463 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2544 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2465 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2466 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2465 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2540 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2467 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2468 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2467 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2536 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2469 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2470 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2469 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2532 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 2471 ref 589 ref appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2472 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 2471 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 2528 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref "x'" 14 ref var 4831 def 41 ref 2473 ref 4831 ref varTerm 4832 def appTerm appTerm 2237 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 2474 remove appTerm 2237 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2473 remove nil cons cons 4830 ref cons nil cons cons 688 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 2509 remove cons 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 4833 def nil 17 ref 2260 ref appTerm 4834 def thm nil 160 ref 1003 ref 17 ref 168 ref 17 ref 695 ref 17 ref 475 ref 17 ref 1878 ref 34 ref 6 ref 11 ref 12 ref 11 ref 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 697 ref 2186 ref 42 ref 698 ref 4363 ref appTerm 4835 def 188 ref appTerm 4836 def appTerm 4837 def 2204 ref 42 ref 17 ref 707 ref 41 ref 42 ref 698 ref 58 ref appTerm 4838 def 708 ref appTerm 4839 def appTerm 709 ref 699 ref 193 ref appTerm 4840 def appTerm 4841 def appTerm 4842 def appTerm 4843 def 180 ref 187 ref 726 ref 2233 ref 714 ref appTerm appTerm appTerm 2196 ref 726 ref 2234 ref 714 ref appTerm appTerm appTerm 4844 def appTerm appTerm 4845 def 1881 ref appTerm 4846 def appTerm 4847 def absTerm 4848 def appTerm 4849 def appTerm 4850 def 256 remove 74 ref appTerm 75 ref appTerm 4851 def appTerm 4852 def appTerm 4853 def appTerm 4854 def appTerm 4855 def appTerm 4856 def appTerm 2191 ref 42 ref 698 ref 2187 ref 1881 ref appTerm 4857 def appTerm 208 ref appTerm 4858 def appTerm 4859 def 42 ref 698 ref 2187 ref 2195 ref 689 ref appTerm 4860 def 1881 ref appTerm 4861 def appTerm 4862 def appTerm 4863 def 187 ref 208 ref appTerm 4864 def 208 ref appTerm 4865 def appTerm 4866 def appTerm 698 ref 2187 ref "Number.Natural.Montgomery.reduce" const 0 ref 14 ref 0 ref 14 ref 3240 remove cons opType nil cons cons opType constTerm 1011 ref appTerm 4867 def 738 ref 208 ref appTerm 4868 def appTerm 710 ref appTerm 4869 def 4861 ref appTerm 4870 def appTerm appTerm 4871 def 208 ref appTerm 4872 def appTerm 4873 def appTerm 4874 def appTerm 4875 def appTerm 4876 def absTerm 4877 def appTerm 4878 def absTerm 4879 def appTerm 4880 def absTerm 4881 def appTerm 4882 def absTerm 4883 def appTerm 4884 def absTerm 4885 def appTerm 4886 def absTerm 4887 def appTerm 4888 def absTerm 4889 def appTerm 4890 def absTerm 4891 def appTerm 4892 def absTerm 4893 def appTerm 4894 def absTerm 4895 def appTerm 4896 def absTerm 4897 def appTerm 4898 def absTerm 4899 def appTerm 4900 def absTerm 4901 def appTerm 4902 def absTerm 4903 def appTerm 4904 def absTerm 4905 def appTerm 4906 def absTerm 4907 def appTerm 4908 def absTerm 4909 def appTerm 4910 def absTerm 4911 def appTerm 4912 def absTerm 4913 def appTerm 4914 def absTerm 4915 def nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 4914 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 4913 remove nil cons cons nil cons nil cons cons 164 ref subst 168 ref nil 150 ref 4912 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 4911 remove nil cons cons nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 4910 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 4909 remove nil cons cons nil cons nil cons cons 164 ref subst 475 ref nil 150 ref 4908 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 4907 remove nil cons cons nil cons nil cons cons 164 ref subst 1878 ref nil 150 ref 4906 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5 ref 4905 remove nil cons cons nil cons nil cons cons 149 ref subst 6 ref nil 150 ref 4904 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 4903 remove nil cons cons nil cons nil cons cons 159 ref subst 12 ref nil 150 ref 4902 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 4901 remove nil cons cons nil cons nil cons cons 159 ref subst 13 ref nil 150 ref 4900 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 4899 remove nil cons cons nil cons nil cons cons 164 ref subst 18 ref nil 150 ref 4898 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 4897 remove nil cons cons nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 4896 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 4895 remove nil cons cons nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 4894 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 4893 remove nil cons cons nil cons nil cons cons 164 ref subst 21 ref nil 150 ref 4892 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 4891 remove nil cons cons nil cons nil cons cons 159 ref subst 22 ref nil 150 ref 4890 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 4889 remove nil cons cons nil cons nil cons cons 159 ref subst 23 ref nil 150 ref 4888 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 4887 remove nil cons cons nil cons nil cons cons 164 ref subst 24 ref nil 150 ref 4886 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 4885 remove nil cons cons nil cons nil cons cons 159 ref subst 25 ref nil 150 ref 4884 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 4883 remove nil cons cons nil cons nil cons cons 159 ref subst 26 ref nil 150 ref 4882 remove nil cons 4916 def cons nil cons nil cons cons 155 ref subst nil 156 ref 4881 ref nil cons cons 4917 def nil cons nil cons cons 159 ref subst 36 ref nil 150 ref 4880 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 4879 remove nil cons cons nil cons nil cons cons 159 ref subst 37 ref nil 150 ref 4878 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 4877 remove nil cons cons nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 4876 remove nil cons 4918 def cons nil cons nil cons cons 155 ref subst nil 399 ref 4856 remove nil cons 4919 def cons 400 ref 4875 ref nil cons 4920 def cons nil cons 4921 def cons nil cons cons 4922 def 416 ref subst 4922 remove 467 ref subst nil 817 ref 437 ref 4855 remove nil cons cons nil cons cons nil cons cons 4923 def 451 ref subst 4923 remove 515 ref subst nil 2515 ref 437 ref 4854 remove nil cons cons nil cons cons nil cons cons 4924 def 451 ref subst 4924 remove 515 ref subst nil 435 ref 4836 ref nil cons 4925 def cons 4926 def 437 ref 4853 remove nil cons cons nil cons cons nil cons cons 4927 def 451 ref subst 4927 remove 515 ref subst nil 2518 ref 437 ref 4852 remove nil cons cons nil cons cons nil cons cons 4928 def 451 ref subst 4928 remove 515 ref subst nil 435 ref 4849 remove nil cons 4929 def cons 4930 def 437 ref 4851 ref nil cons 4931 def cons nil cons 4932 def cons nil cons cons 4933 def 451 ref subst 4933 remove 515 ref subst nil 399 ref 4931 ref cons 4934 def 4921 ref cons nil cons cons 459 ref subst 165 ref 37 ref 129 ref 4851 ref appTerm 167 ref 168 ref 169 ref "pb" 1 ref var 4935 def 172 ref 173 ref 172 ref 174 ref 172 ref "pbp" 8 ref var 4936 def 169 ref "qb" 1 ref var 4937 def 172 ref "qs" 8 ref var 4938 def 172 ref "qc" 8 ref var 4939 def 169 ref "vb" 1 ref var 4940 def 172 ref "vs" 8 ref var 4941 def 172 ref "vc" 8 ref var 4942 def 169 ref "vt" 1 ref var 4943 def 172 ref "sa" 8 ref var 4944 def 172 ref "sb" 8 ref var 4945 def 172 ref "sc" 8 ref var 4946 def 172 ref "sd" 8 ref var 4947 def 172 ref "ms" 8 ref var 4948 def 172 ref "mc" 8 ref var 4949 def 169 ref "ld1" 1 ref var 4950 def 169 ref "ld2" 1 ref var 4951 def 172 ref "zs0" 8 ref var 4952 def 172 ref "zs1" 8 ref var 4953 def 169 ref "zs2" 1 ref var 4954 def 172 ref "zc0" 8 ref var 4955 def 169 ref "zc1" 1 ref var 4956 def 172 ref "zc2" 8 ref var 4957 def 169 ref "zc3" 1 ref var 4958 def 172 ref "ps0" 8 ref var 4959 def 172 ref "pc0" 8 ref var 4960 def 169 ref "pb1" 1 ref var 4961 def 172 ref "pbp0" 8 ref var 4962 def 172 ref "pbp1" 8 ref var 4963 def 169 ref "qb2" 1 ref var 4964 def 172 ref "sa0" 8 ref var 4965 def 172 ref "sa1" 8 ref var 4966 def 172 ref "sa2" 8 ref var 4967 def 169 ref "sa3" 1 ref var 4968 def 169 ref "sa4" 1 ref var 4969 def 169 ref "sa5" 1 ref var 4970 def 172 ref "sb0" 8 ref var 4971 def 169 ref "sb1" 1 ref var 4972 def 169 ref "sb2" 1 ref var 4973 def 169 ref "sd0" 1 ref var 4974 def 172 ref "sd1" 8 ref var 4975 def 172 ref "sd2" 8 ref var 4976 def 169 ref "sd3" 1 ref var 4977 def 172 ref "ms0" 8 ref var 4978 def 172 ref "ms1" 8 ref var 4979 def 169 ref "ms2" 1 ref var 4980 def 169 ref "ms3" 1 ref var 4981 def 172 ref "ms4" 8 ref var 4982 def 172 ref "mc0" 8 ref var 4983 def 172 ref "mc1" 8 ref var 4984 def 172 ref "mc2" 8 ref var 4985 def 169 ref "mc3" 1 ref var 4986 def 169 ref "mc4" 1 ref var 4987 def 169 ref "mw" 1 ref var 4988 def 42 ref 183 ref 750 ref appTerm appTerm 42 ref 196 ref 750 ref appTerm appTerm 42 ref 199 ref 750 ref appTerm appTerm 42 ref 202 ref 750 ref appTerm appTerm 42 ref 205 ref 735 ref appTerm appTerm 42 ref 211 ref 735 ref appTerm appTerm 42 ref 214 ref 703 ref appTerm appTerm 42 ref 217 ref 703 ref appTerm appTerm 42 ref 230 ref 735 ref appTerm appTerm 42 ref 232 ref 735 ref appTerm appTerm 42 ref 236 ref 750 ref appTerm appTerm 42 ref 240 ref 750 ref appTerm appTerm 42 ref 180 ref 181 ref 4936 ref varTerm 4989 def appTerm appTerm 700 ref 701 ref 192 ref appTerm 4990 def appTerm 4991 def appTerm 4992 def appTerm 4993 def 42 ref 180 ref 181 ref 4938 ref varTerm 4994 def appTerm appTerm 4995 def 735 ref appTerm appTerm 42 ref 180 ref 181 ref 4939 ref varTerm 4996 def appTerm appTerm 4997 def 735 ref appTerm appTerm 42 ref 180 ref 181 ref 4941 ref varTerm 4998 def appTerm appTerm 4999 def 703 ref appTerm appTerm 42 ref 180 ref 181 ref 4942 ref varTerm 5000 def appTerm appTerm 5001 def 703 ref appTerm appTerm 42 ref 180 ref 181 ref 4944 ref varTerm 5002 def appTerm appTerm 5003 def 700 ref 701 ref 189 ref 206 remove 207 ref appTerm 5004 def appTerm 5005 def appTerm appTerm appTerm appTerm 42 ref 180 ref 181 ref 4945 ref varTerm 5006 def appTerm appTerm 5007 def 733 ref appTerm appTerm 42 ref 180 ref 181 ref 4946 ref varTerm 5008 def appTerm appTerm 5009 def 703 ref appTerm appTerm 42 ref 180 ref 181 ref 4947 ref varTerm 5010 def appTerm appTerm 5011 def 750 ref appTerm appTerm 42 ref 180 ref 181 ref 4948 ref varTerm 5012 def appTerm appTerm 5013 def 735 ref appTerm appTerm 42 ref 180 ref 181 ref 4949 ref varTerm 5014 def appTerm appTerm 5015 def 735 ref appTerm appTerm 42 ref 2329 ref 74 ref appTerm 5016 def 191 ref appTerm 5017 def 4991 ref appTerm 4952 ref varTerm 5018 def appTerm 5019 def appTerm 5020 def 42 ref 5016 ref 4991 ref appTerm 5021 def 193 ref appTerm 4953 ref varTerm 5022 def appTerm appTerm 42 ref 2325 ref 74 ref appTerm 5023 def 750 ref appTerm 4954 ref varTerm 5024 def appTerm appTerm 42 ref 2329 ref 75 ref appTerm 5025 def 191 ref appTerm 5026 def 700 ref 64 ref appTerm 5027 def appTerm 4955 ref varTerm 5028 def appTerm 5029 def appTerm 5030 def 42 ref 2325 ref 75 ref appTerm 5031 def 5027 ref appTerm 4956 ref varTerm 5032 def appTerm 5033 def appTerm 5034 def 42 ref 5025 ref 4991 ref appTerm 5035 def 193 ref appTerm 4957 ref varTerm 5036 def appTerm appTerm 42 ref 5031 ref 750 ref appTerm 4958 ref varTerm 5037 def appTerm appTerm 42 ref 2329 ref 234 ref appTerm 5038 def 191 ref appTerm 5039 def 5005 ref appTerm 4959 ref varTerm 5040 def appTerm appTerm 42 ref 2329 ref 238 ref appTerm 5041 def 191 ref appTerm 5042 def 733 ref appTerm 4960 ref varTerm 5043 def appTerm appTerm 42 ref 2325 ref 4989 ref appTerm 5044 def 61 ref appTerm 5045 def 4961 ref varTerm 5046 def appTerm 5047 def appTerm 5048 def 42 ref 2329 ref 4989 ref appTerm 5049 def 192 ref appTerm 5050 def 5027 ref appTerm 5051 def 4962 ref varTerm 5052 def appTerm 5053 def appTerm 5054 def 42 ref "Hardware.Bus.reverse" const 51 ref constTerm 5055 def 5052 ref appTerm 5056 def 4963 ref varTerm 5057 def appTerm 5058 def appTerm 5059 def 42 ref 2329 ref 5002 ref appTerm 5060 def 191 ref appTerm 5061 def 5027 ref appTerm 4965 ref varTerm 5062 def appTerm 5063 def appTerm 5064 def 42 ref 5061 ref 703 ref appTerm 4966 ref varTerm 5065 def appTerm appTerm 42 ref 5060 ref 5027 ref appTerm 5066 def 5005 ref appTerm 4967 ref varTerm 5067 def appTerm appTerm 42 ref 2325 ref 5002 ref appTerm 5068 def 703 ref appTerm 4968 ref varTerm 5069 def appTerm appTerm 42 ref 5068 ref 750 ref appTerm 4969 ref varTerm 5070 def appTerm appTerm 42 ref 5068 ref 735 ref appTerm 4970 ref varTerm 5071 def appTerm appTerm 42 ref 2329 ref 5006 ref appTerm 5072 def 191 ref appTerm 5073 def 193 ref appTerm 4971 ref varTerm 5074 def appTerm appTerm 42 ref 2325 ref 5006 ref appTerm 5075 def 193 ref appTerm 4972 ref varTerm 5076 def appTerm appTerm 42 ref 5075 ref 208 ref appTerm 4973 ref varTerm 5077 def appTerm appTerm 42 ref 2325 ref 5010 ref appTerm 5078 def 191 ref appTerm 4974 ref varTerm 5079 def appTerm 5080 def appTerm 5081 def 42 ref 2329 ref 5010 ref appTerm 5082 def 191 ref appTerm 5083 def 703 ref appTerm 4975 ref varTerm 5084 def appTerm appTerm 42 ref 5082 ref 192 ref appTerm 5085 def 703 ref appTerm 4976 ref varTerm 5086 def appTerm appTerm 42 ref 5078 ref 703 ref appTerm 4977 ref varTerm 5087 def appTerm appTerm 42 ref 2329 ref 5012 ref appTerm 5088 def 191 ref appTerm 5089 def 4991 ref appTerm 4978 ref varTerm 5090 def appTerm 5091 def appTerm 5092 def 42 ref 5089 ref 703 ref appTerm 4979 ref varTerm 5093 def appTerm appTerm 42 ref 5088 ref 4991 ref appTerm 5094 def 193 ref appTerm 4982 ref varTerm 5095 def appTerm appTerm 42 ref 2325 ref 5012 ref appTerm 5096 def 703 ref appTerm 4980 ref varTerm 5097 def appTerm appTerm 42 ref 5096 ref 750 ref appTerm 4981 ref varTerm 5098 def appTerm appTerm 42 ref 2329 remove 5014 ref appTerm 5099 def 191 ref appTerm 5100 def 5027 ref appTerm 4983 ref varTerm 5101 def appTerm 5102 def appTerm 5103 def 42 ref 5100 ref 703 ref appTerm 4984 ref varTerm 5104 def appTerm appTerm 42 ref 5099 ref 5027 ref appTerm 5105 def 193 ref appTerm 4985 ref varTerm 5106 def appTerm appTerm 42 ref 2325 ref 5014 ref appTerm 5107 def 703 ref appTerm 4986 ref varTerm 5108 def appTerm appTerm 42 ref 5107 ref 750 ref appTerm 4987 ref varTerm 5109 def appTerm appTerm 42 ref "Hardware.SumCarry.multiplier" const 0 ref 1 ref 0 ref 8 ref 0 ref 8 ref 0 ref 14 ref 53 ref cons opType nil cons cons opType nil cons cons opType nil cons cons opType constTerm 45 ref appTerm 56 ref appTerm 57 ref appTerm 5110 def 58 ref appTerm 59 ref appTerm 60 ref appTerm 4935 ref varTerm 5111 def appTerm 234 ref appTerm 238 ref appTerm 5112 def appTerm 42 ref 265 ref 45 ref appTerm 5113 def 2087 ref appTerm 5114 def 4950 ref varTerm 5115 def appTerm 5116 def appTerm 42 ref "Hardware.Bus.pipe" const 0 ref 1 ref 50 remove cons opType constTerm 5117 def 5111 ref appTerm 5118 def 4989 ref appTerm 5119 def appTerm 5120 def 42 ref "Hardware.Bus.multiplier" const 0 ref 1 ref 0 ref 1 ref 53 remove cons opType nil cons cons opType constTerm 5121 def 5115 ref appTerm 5122 def 5046 ref appTerm 5123 def 62 ref appTerm 5124 def 63 ref appTerm 4937 ref varTerm 5125 def appTerm 4994 ref appTerm 4996 ref appTerm 5126 def appTerm 42 ref 265 ref 5115 ref appTerm 5127 def 64 ref appTerm 5128 def 4951 ref varTerm 5129 def appTerm 5130 def appTerm 42 ref 265 ref 5125 ref appTerm 5131 def 64 ref appTerm 5132 def 4964 ref varTerm 5133 def appTerm 5134 def appTerm 42 ref 5121 ref 5129 ref appTerm 5135 def 5133 ref appTerm 5136 def 65 ref appTerm 5137 def 66 ref appTerm 4940 ref varTerm 5138 def appTerm 4998 ref appTerm 5000 ref appTerm 5139 def appTerm 42 ref "Hardware.sticky" const 2363 ref constTerm 5140 def 5129 ref appTerm 5141 def 5138 ref appTerm 5142 def 4943 ref varTerm 5143 def appTerm 5144 def appTerm 42 ref "Hardware.Bus.connect" const 51 remove constTerm 5145 def 5057 ref appTerm 5146 def 5062 ref appTerm 5147 def appTerm 42 ref 2397 ref 5065 ref appTerm 5148 def 5008 ref appTerm 5149 def 5084 ref appTerm 5150 def 5093 ref appTerm 5151 def 5104 ref appTerm 5152 def appTerm 42 ref 2365 remove 5069 ref appTerm 5153 def 5087 ref appTerm 5154 def 5097 ref appTerm 5155 def 5108 ref appTerm 5156 def appTerm 42 ref 279 ref 5070 ref appTerm 5157 def 5098 ref appTerm 5158 def appTerm 42 ref 279 ref 5071 ref appTerm 5159 def 5109 ref appTerm 5160 def appTerm 42 ref 5145 ref 5090 ref appTerm 5161 def 5018 ref appTerm 5162 def appTerm 42 ref 5145 ref 5101 ref appTerm 5163 def 5028 ref appTerm 5164 def appTerm 42 ref 279 remove "Hardware.ground" const 1 ref constTerm 5165 def appTerm 5166 def 5032 ref appTerm 5167 def appTerm 42 ref 2397 remove 5074 ref appTerm 5168 def 5095 ref appTerm 5169 def 5106 ref appTerm 5170 def 5022 ref appTerm 5171 def 5036 ref appTerm 5172 def appTerm 42 ref "Hardware.adder3" const 0 ref 1 ref 2364 ref nil cons cons opType constTerm 5173 def 5076 ref appTerm 5174 def 5098 ref appTerm 5175 def 5108 ref appTerm 5176 def 5024 ref appTerm 5177 def 4988 ref varTerm 5178 def appTerm 5179 def appTerm 42 ref "Hardware.or3" const 2364 ref constTerm 5180 def 5077 ref appTerm 5181 def 5109 ref appTerm 5182 def 5178 ref appTerm 5183 def 5037 ref appTerm 5184 def appTerm 42 ref 286 ref 5040 ref appTerm 5185 def 5067 ref appTerm 5186 def appTerm 42 ref 286 ref 5043 ref appTerm 5187 def 5006 ref appTerm 5188 def appTerm 42 ref 286 ref 4998 ref appTerm 5189 def 5008 ref appTerm 5190 def appTerm 42 ref "Hardware.delay" const 278 ref constTerm 5191 def 5143 ref appTerm 5192 def 5079 ref appTerm 5193 def appTerm 286 ref 5000 ref appTerm 5194 def 5086 ref appTerm 5195 def appTerm 5196 def appTerm 5197 def appTerm 5198 def appTerm 5199 def appTerm 5200 def appTerm 5201 def appTerm 5202 def appTerm 5203 def appTerm 5204 def appTerm 5205 def appTerm 5206 def appTerm 5207 def appTerm 5208 def appTerm 5209 def appTerm 5210 def appTerm 5211 def appTerm 5212 def appTerm 5213 def appTerm 5214 def appTerm 5215 def appTerm 5216 def appTerm 5217 def appTerm 5218 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 5219 def appTerm 5220 def appTerm absTerm 5221 def 75 ref appTerm 5222 def betaConv 36 ref 11 ref 5221 ref appTerm 5223 def absTerm 5224 def 74 ref appTerm 5225 def betaConv 26 ref 11 ref 5224 ref appTerm 5226 def absTerm 5227 def 66 ref appTerm 5228 def betaConv 25 ref 11 ref 5227 ref appTerm 5229 def absTerm 5230 def 65 ref appTerm 5231 def betaConv 24 ref 11 ref 5230 ref appTerm 5232 def absTerm 5233 def 64 ref appTerm 5234 def betaConv 23 ref 17 ref 5233 ref appTerm 5235 def absTerm 5236 def 63 ref appTerm 5237 def betaConv 22 ref 11 ref 5236 ref appTerm 5238 def absTerm 5239 def 62 ref appTerm 5240 def betaConv 21 ref 11 ref 5239 ref appTerm 5241 def absTerm 5242 def 61 ref appTerm 5243 def betaConv 20 ref 17 ref 5242 ref appTerm 5244 def absTerm 5245 def 60 ref appTerm 5246 def betaConv 19 ref 11 ref 5245 ref appTerm 5247 def absTerm 5248 def 59 ref appTerm 5249 def betaConv 18 ref 11 ref 5248 ref appTerm 5250 def absTerm 5251 def 58 ref appTerm 5252 def betaConv 13 ref 17 ref 5251 ref appTerm 5253 def absTerm 5254 def 57 ref appTerm 5255 def betaConv 12 ref 11 ref 5254 ref appTerm 5256 def absTerm 5257 def 56 ref appTerm 5258 def betaConv 6 ref 11 ref 5257 ref appTerm 5259 def absTerm 5260 def 45 ref appTerm 5261 def betaConv nil 34 ref 5260 ref appTerm 5262 def axiom nil 399 ref 5262 remove nil cons cons 400 ref 5261 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5260 remove nil cons cons 461 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5259 remove nil cons cons 400 ref 5258 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5257 remove nil cons cons 472 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5256 remove nil cons cons 400 ref 5255 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5254 remove nil cons cons 474 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5253 remove nil cons cons 400 ref 5252 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 5251 remove nil cons cons 477 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5250 remove nil cons cons 400 ref 5249 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5248 remove nil cons cons 479 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5247 remove nil cons cons 400 ref 5246 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5245 remove nil cons cons 481 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5244 remove nil cons cons 400 ref 5243 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 5242 remove nil cons cons 483 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5241 remove nil cons cons 400 ref 5240 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5239 remove nil cons cons 484 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5238 remove nil cons cons 400 ref 5237 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5236 remove nil cons cons 485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5235 remove nil cons cons 400 ref 5234 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 5233 remove nil cons cons 487 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5232 remove nil cons cons 400 ref 5231 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5230 remove nil cons cons 488 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5229 remove nil cons cons 400 ref 5228 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5227 remove nil cons cons 489 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5226 remove nil cons cons 400 ref 5225 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5224 remove nil cons cons 501 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5223 remove nil cons cons 400 ref 5222 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5221 remove nil cons cons 504 ref cons nil cons cons 469 ref subst eqMp eqMp appThm 5263 def 4875 ref refl 5264 def appThm sym nil 160 ref "rs" 14 ref var 5265 def 41 ref 5219 ref 5265 ref varTerm 5266 def appTerm 5267 def appTerm 5268 def 4875 ref appTerm 5269 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 5265 ref nil 150 ref 5269 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5267 ref nil cons 5270 def cons 5271 def 4921 ref cons nil cons cons 5272 def 416 ref subst 5272 remove 467 ref subst 5267 ref betaConv 5267 remove assume eqMp 5273 def nil 399 ref 169 ref 4935 ref 172 ref 173 ref 172 ref 174 ref 172 ref 4936 ref 169 ref 4937 ref 172 ref 4938 ref 172 ref 4939 ref 169 ref 4940 ref 172 ref 4941 ref 172 ref 4942 ref 169 ref 4943 ref 172 ref 4944 ref 172 ref 4945 ref 172 ref 4946 ref 172 ref 4947 ref 172 ref 4948 ref 172 ref 4949 ref 169 ref 4950 ref 169 ref 4951 ref 172 ref 4952 ref 172 ref 4953 ref 169 ref 4954 ref 172 ref 4955 ref 169 ref 4956 ref 172 ref 4957 ref 169 ref 4958 ref 172 ref 4959 ref 172 ref 4960 ref 169 ref 4961 ref 172 ref 4962 ref 172 ref 4963 ref 169 ref 4964 ref 172 ref 4965 ref 172 ref 4966 ref 172 ref 4967 ref 169 ref 4968 ref 169 ref 4969 ref 169 ref 4970 ref 172 ref 4971 ref 169 ref 4972 ref 169 ref 4973 ref 169 ref 4974 ref 172 ref 4975 ref 172 ref 4976 ref 169 ref 4977 ref 172 ref 4978 ref 172 ref 4979 ref 169 ref 4980 ref 169 ref 4981 ref 172 ref 4982 ref 172 ref 4983 ref 172 ref 4984 ref 172 ref 4985 ref 169 ref 4986 ref 169 ref 4987 ref 169 ref 4988 ref 42 ref 183 remove 700 ref 701 ref 187 ref 5266 ref appTerm 5274 def 207 ref appTerm 5275 def appTerm 5276 def appTerm 5277 def appTerm 5278 def appTerm 42 ref 196 remove 5277 ref appTerm 5279 def appTerm 42 ref 199 remove 5277 ref appTerm 5280 def appTerm 42 ref 202 remove 5277 ref appTerm 5281 def appTerm 42 ref 205 remove 700 ref 701 ref 5274 ref 732 ref appTerm 5282 def appTerm 5283 def appTerm 5284 def appTerm 5285 def appTerm 42 ref 211 remove 5284 ref appTerm 5286 def appTerm 42 ref 214 remove 700 ref 701 ref 5274 ref 192 ref appTerm 5287 def appTerm 5288 def appTerm 5289 def appTerm 5290 def appTerm 42 ref 217 remove 5289 ref appTerm 5291 def appTerm 42 ref 230 remove 5284 ref appTerm 5292 def appTerm 42 ref 232 remove 5284 ref appTerm 5293 def appTerm 42 ref 236 ref 5277 ref appTerm 5294 def appTerm 42 ref 240 ref 5277 ref appTerm 5295 def appTerm 4993 remove 42 ref 4995 ref 5284 ref appTerm 5296 def appTerm 42 ref 4997 ref 5284 ref appTerm 5297 def appTerm 42 ref 4999 remove 5289 ref appTerm 5298 def appTerm 42 ref 5001 remove 5289 ref appTerm 5299 def appTerm 42 ref 5003 remove 700 ref 701 ref 5274 ref 5004 ref appTerm 5300 def appTerm appTerm 5301 def appTerm 5302 def appTerm 42 ref 5007 remove 5282 ref appTerm 5303 def appTerm 42 ref 5009 remove 5289 ref appTerm 5304 def appTerm 42 ref 5011 remove 5277 ref appTerm 5305 def appTerm 42 ref 5013 remove 5284 ref appTerm 5306 def appTerm 42 ref 5015 remove 5284 ref appTerm 5307 def appTerm 5020 ref 42 ref 5021 ref 5287 ref appTerm 5022 ref appTerm 5308 def appTerm 5309 def 42 ref 5023 ref 5277 ref appTerm 5024 ref appTerm 5310 def appTerm 5030 ref 5034 remove 42 ref 5035 remove 5287 ref appTerm 5036 ref appTerm 5311 def appTerm 42 ref 5031 ref 5277 ref appTerm 5037 ref appTerm 5312 def appTerm 42 ref 5039 ref 5300 ref appTerm 5313 def 5040 ref appTerm 5314 def appTerm 42 ref 5042 ref 5282 ref appTerm 5315 def 5043 ref appTerm 5316 def appTerm 5048 remove 5054 remove 5059 ref 5064 ref 42 ref 5061 ref 5289 ref appTerm 5065 ref appTerm 5317 def appTerm 5318 def 42 ref 5066 remove 5300 ref appTerm 5067 ref appTerm 5319 def appTerm 42 ref 5068 ref 5289 ref appTerm 5069 ref appTerm 5320 def appTerm 42 ref 5068 ref 5277 ref appTerm 5070 ref appTerm 5321 def appTerm 42 ref 5068 ref 5284 ref appTerm 5071 ref appTerm 5322 def appTerm 42 ref 5073 ref 5287 ref appTerm 5074 ref appTerm 5323 def appTerm 5324 def 42 ref 5075 ref 5287 ref appTerm 5076 ref appTerm 5325 def appTerm 42 ref 5075 ref 5275 ref appTerm 5077 ref appTerm 5326 def appTerm 5081 remove 42 ref 5083 ref 5289 ref appTerm 5084 ref appTerm 5327 def appTerm 5328 def 42 ref 5085 remove 5289 ref appTerm 5086 ref appTerm 5329 def appTerm 42 ref 5078 ref 5289 ref appTerm 5087 ref appTerm 5330 def appTerm 5092 ref 42 ref 5089 ref 5289 ref appTerm 5093 ref appTerm 5331 def appTerm 5332 def 42 ref 5094 ref 5287 ref appTerm 5095 ref appTerm 5333 def appTerm 5334 def 42 ref 5096 ref 5289 ref appTerm 5097 ref appTerm 5335 def appTerm 42 ref 5096 ref 5277 ref appTerm 5098 ref appTerm 5336 def appTerm 5103 ref 42 ref 5100 ref 5289 ref appTerm 5104 ref appTerm 5337 def appTerm 5338 def 42 ref 5105 ref 5287 ref appTerm 5106 ref appTerm 5339 def appTerm 5340 def 42 ref 5107 ref 5289 ref appTerm 5108 ref appTerm 5341 def appTerm 42 ref 5107 ref 5277 ref appTerm 5109 ref appTerm 5342 def appTerm 5218 ref appTerm 5343 def appTerm 5344 def appTerm 5345 def appTerm 5346 def appTerm 5347 def appTerm 5348 def appTerm 5349 def appTerm 5350 def appTerm 5351 def appTerm 5352 def appTerm 5353 def appTerm 5354 def appTerm 5355 def appTerm 5356 def appTerm 5357 def appTerm 5358 def appTerm 5359 def appTerm 5360 def appTerm 5361 def appTerm 5362 def appTerm 5363 def appTerm 5364 def appTerm 5365 def appTerm 5366 def appTerm 5367 def appTerm 5368 def appTerm 5369 def appTerm 5370 def appTerm 5371 def appTerm 5372 def appTerm 5373 def appTerm 5374 def appTerm 5375 def appTerm 5376 def appTerm 5377 def appTerm 5378 def appTerm 5379 def appTerm 5380 def appTerm 5381 def appTerm 5382 def appTerm 5383 def appTerm 5384 def appTerm 5385 def appTerm 5386 def appTerm 5387 def appTerm 5388 def appTerm 5389 def appTerm 5390 def appTerm 5391 def appTerm 5392 def appTerm 5393 def appTerm 5394 def appTerm 5395 def appTerm 5396 def appTerm 5397 def appTerm 5398 def appTerm 5399 def appTerm 5400 def absTerm 5401 def appTerm 5402 def absTerm 5403 def appTerm 5404 def absTerm 5405 def appTerm 5406 def absTerm 5407 def appTerm 5408 def absTerm 5409 def appTerm 5410 def absTerm 5411 def appTerm 5412 def absTerm 5413 def appTerm 5414 def absTerm 5415 def appTerm 5416 def absTerm 5417 def appTerm 5418 def absTerm 5419 def appTerm 5420 def absTerm 5421 def appTerm 5422 def absTerm 5423 def appTerm 5424 def absTerm 5425 def appTerm 5426 def absTerm 5427 def appTerm 5428 def absTerm 5429 def appTerm 5430 def absTerm 5431 def appTerm 5432 def absTerm 5433 def appTerm 5434 def absTerm 5435 def appTerm 5436 def absTerm 5437 def appTerm 5438 def absTerm 5439 def appTerm 5440 def absTerm 5441 def appTerm 5442 def absTerm 5443 def appTerm 5444 def absTerm 5445 def appTerm 5446 def absTerm 5447 def appTerm 5448 def absTerm 5449 def appTerm 5450 def absTerm 5451 def appTerm 5452 def absTerm 5453 def appTerm 5454 def absTerm 5455 def appTerm 5456 def absTerm 5457 def appTerm 5458 def absTerm 5459 def appTerm 5460 def absTerm 5461 def appTerm 5462 def absTerm 5463 def appTerm 5464 def absTerm 5465 def appTerm 5466 def absTerm 5467 def appTerm 5468 def absTerm 5469 def appTerm 5470 def absTerm 5471 def appTerm 5472 def absTerm 5473 def appTerm 5474 def absTerm 5475 def appTerm 5476 def absTerm 5477 def appTerm 5478 def absTerm 5479 def appTerm 5480 def absTerm 5481 def appTerm 5482 def absTerm 5483 def appTerm 5484 def absTerm 5485 def appTerm 5486 def absTerm 5487 def appTerm 5488 def absTerm 5489 def appTerm 5490 def absTerm 5491 def appTerm 5492 def absTerm 5493 def appTerm 5494 def absTerm 5495 def appTerm 5496 def absTerm 5497 def appTerm 5498 def absTerm 5499 def appTerm 5500 def absTerm 5501 def appTerm 5502 def absTerm 5503 def appTerm 5504 def absTerm 5505 def appTerm 5506 def absTerm 5507 def appTerm 5508 def absTerm 5509 def appTerm 5510 def absTerm 5511 def appTerm 5512 def nil cons cons 5513 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4935 ref 41 ref 5511 ref 5111 ref appTerm 5514 def appTerm 5515 def 4875 ref appTerm 5516 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4935 ref nil 150 ref 5516 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5514 ref nil cons 5517 def cons 5518 def 4921 ref cons nil cons cons 5519 def 416 ref subst 5519 remove 467 ref subst 5514 ref betaConv 5514 remove assume eqMp 5520 def nil 399 ref 5510 ref nil cons cons 5521 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 173 ref 41 ref 5509 ref 234 ref appTerm 5522 def appTerm 5523 def 4875 ref appTerm 5524 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 173 ref nil 150 ref 5524 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5522 ref nil cons 5525 def cons 5526 def 4921 ref cons nil cons cons 5527 def 416 ref subst 5527 remove 467 ref subst 5522 ref betaConv 5522 remove assume eqMp 5528 def nil 399 ref 5508 ref nil cons cons 5529 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 174 ref 41 ref 5507 ref 238 ref appTerm 5530 def appTerm 5531 def 4875 ref appTerm 5532 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 174 ref nil 150 ref 5532 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5530 ref nil cons 5533 def cons 5534 def 4921 ref cons nil cons cons 5535 def 416 ref subst 5535 remove 467 ref subst 5530 ref betaConv 5530 remove assume eqMp 5536 def nil 399 ref 5506 ref nil cons cons 5537 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4936 ref 41 ref 5505 ref 4989 ref appTerm 5538 def appTerm 5539 def 4875 ref appTerm 5540 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4936 ref nil 150 ref 5540 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5538 ref nil cons 5541 def cons 5542 def 4921 ref cons nil cons cons 5543 def 416 ref subst 5543 remove 467 ref subst 5538 ref betaConv 5538 remove assume eqMp 5544 def nil 399 ref 5504 ref nil cons cons 5545 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4937 ref 41 ref 5503 ref 5125 ref appTerm 5546 def appTerm 5547 def 4875 ref appTerm 5548 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4937 ref nil 150 ref 5548 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5546 ref nil cons 5549 def cons 5550 def 4921 ref cons nil cons cons 5551 def 416 ref subst 5551 remove 467 ref subst 5546 ref betaConv 5546 remove assume eqMp 5552 def nil 399 ref 5502 ref nil cons cons 5553 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4938 ref 41 ref 5501 ref 4994 ref appTerm 5554 def appTerm 5555 def 4875 ref appTerm 5556 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4938 ref nil 150 ref 5556 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5554 ref nil cons 5557 def cons 5558 def 4921 ref cons nil cons cons 5559 def 416 ref subst 5559 remove 467 ref subst 5554 ref betaConv 5554 remove assume eqMp 5560 def nil 399 ref 5500 ref nil cons cons 5561 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4939 ref 41 ref 5499 ref 4996 ref appTerm 5562 def appTerm 5563 def 4875 ref appTerm 5564 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4939 ref nil 150 ref 5564 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5562 ref nil cons 5565 def cons 5566 def 4921 ref cons nil cons cons 5567 def 416 ref subst 5567 remove 467 ref subst 5562 ref betaConv 5562 remove assume eqMp 5568 def nil 399 ref 5498 ref nil cons cons 5569 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4940 ref 41 ref 5497 ref 5138 ref appTerm 5570 def appTerm 5571 def 4875 ref appTerm 5572 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4940 ref nil 150 ref 5572 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5570 ref nil cons 5573 def cons 5574 def 4921 ref cons nil cons cons 5575 def 416 ref subst 5575 remove 467 ref subst 5570 ref betaConv 5570 remove assume eqMp 5576 def nil 399 ref 5496 ref nil cons cons 5577 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4941 ref 41 ref 5495 ref 4998 ref appTerm 5578 def appTerm 5579 def 4875 ref appTerm 5580 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4941 ref nil 150 ref 5580 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5578 ref nil cons 5581 def cons 5582 def 4921 ref cons nil cons cons 5583 def 416 ref subst 5583 remove 467 ref subst 5578 ref betaConv 5578 remove assume eqMp 5584 def nil 399 ref 5494 ref nil cons cons 5585 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4942 ref 41 ref 5493 ref 5000 ref appTerm 5586 def appTerm 5587 def 4875 ref appTerm 5588 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4942 ref nil 150 ref 5588 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5586 ref nil cons 5589 def cons 5590 def 4921 ref cons nil cons cons 5591 def 416 ref subst 5591 remove 467 ref subst 5586 ref betaConv 5586 remove assume eqMp 5592 def nil 399 ref 5492 ref nil cons cons 5593 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4943 ref 41 ref 5491 ref 5143 ref appTerm 5594 def appTerm 5595 def 4875 ref appTerm 5596 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4943 ref nil 150 ref 5596 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5594 ref nil cons 5597 def cons 5598 def 4921 ref cons nil cons cons 5599 def 416 ref subst 5599 remove 467 ref subst 5594 ref betaConv 5594 remove assume eqMp 5600 def nil 399 ref 5490 ref nil cons cons 5601 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4944 ref 41 ref 5489 ref 5002 ref appTerm 5602 def appTerm 5603 def 4875 ref appTerm 5604 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4944 ref nil 150 ref 5604 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5602 ref nil cons 5605 def cons 5606 def 4921 ref cons nil cons cons 5607 def 416 ref subst 5607 remove 467 ref subst 5602 ref betaConv 5602 remove assume eqMp 5608 def nil 399 ref 5488 ref nil cons cons 5609 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4945 ref 41 ref 5487 ref 5006 ref appTerm 5610 def appTerm 5611 def 4875 ref appTerm 5612 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4945 ref nil 150 ref 5612 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5610 ref nil cons 5613 def cons 5614 def 4921 ref cons nil cons cons 5615 def 416 ref subst 5615 remove 467 ref subst 5610 ref betaConv 5610 remove assume eqMp 5616 def nil 399 ref 5486 ref nil cons cons 5617 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4946 ref 41 ref 5485 ref 5008 ref appTerm 5618 def appTerm 5619 def 4875 ref appTerm 5620 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4946 ref nil 150 ref 5620 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5618 ref nil cons 5621 def cons 5622 def 4921 ref cons nil cons cons 5623 def 416 ref subst 5623 remove 467 ref subst 5618 ref betaConv 5618 remove assume eqMp 5624 def nil 399 ref 5484 ref nil cons cons 5625 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4947 ref 41 ref 5483 ref 5010 ref appTerm 5626 def appTerm 5627 def 4875 ref appTerm 5628 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4947 ref nil 150 ref 5628 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5626 ref nil cons 5629 def cons 5630 def 4921 ref cons nil cons cons 5631 def 416 ref subst 5631 remove 467 ref subst 5626 ref betaConv 5626 remove assume eqMp 5632 def nil 399 ref 5482 ref nil cons cons 5633 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4948 ref 41 ref 5481 ref 5012 ref appTerm 5634 def appTerm 5635 def 4875 ref appTerm 5636 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4948 ref nil 150 ref 5636 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5634 ref nil cons 5637 def cons 5638 def 4921 ref cons nil cons cons 5639 def 416 ref subst 5639 remove 467 ref subst 5634 ref betaConv 5634 remove assume eqMp 5640 def nil 399 ref 5480 ref nil cons cons 5641 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4949 ref 41 ref 5479 ref 5014 ref appTerm 5642 def appTerm 5643 def 4875 ref appTerm 5644 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4949 ref nil 150 ref 5644 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5642 ref nil cons 5645 def cons 5646 def 4921 ref cons nil cons cons 5647 def 416 ref subst 5647 remove 467 ref subst 5642 ref betaConv 5642 remove assume eqMp 5648 def nil 399 ref 5478 ref nil cons cons 5649 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4950 ref 41 ref 5477 ref 5115 ref appTerm 5650 def appTerm 5651 def 4875 ref appTerm 5652 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4950 ref nil 150 ref 5652 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5650 ref nil cons 5653 def cons 5654 def 4921 ref cons nil cons cons 5655 def 416 ref subst 5655 remove 467 ref subst 5650 ref betaConv 5650 remove assume eqMp 5656 def nil 399 ref 5476 ref nil cons cons 5657 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4951 ref 41 ref 5475 ref 5129 ref appTerm 5658 def appTerm 5659 def 4875 ref appTerm 5660 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4951 ref nil 150 ref 5660 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5658 ref nil cons 5661 def cons 5662 def 4921 ref cons nil cons cons 5663 def 416 ref subst 5663 remove 467 ref subst 5658 ref betaConv 5658 remove assume eqMp 5664 def nil 399 ref 5474 ref nil cons cons 5665 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4952 ref 41 ref 5473 ref 5018 ref appTerm 5666 def appTerm 5667 def 4875 ref appTerm 5668 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4952 ref nil 150 ref 5668 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5666 ref nil cons 5669 def cons 5670 def 4921 ref cons nil cons cons 5671 def 416 ref subst 5671 remove 467 ref subst 5666 ref betaConv 5666 remove assume eqMp 5672 def nil 399 ref 5472 ref nil cons cons 5673 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4953 ref 41 ref 5471 ref 5022 ref appTerm 5674 def appTerm 5675 def 4875 ref appTerm 5676 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4953 ref nil 150 ref 5676 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5674 ref nil cons 5677 def cons 5678 def 4921 ref cons nil cons cons 5679 def 416 ref subst 5679 remove 467 ref subst 5674 ref betaConv 5674 remove assume eqMp 5680 def nil 399 ref 5470 ref nil cons cons 5681 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4954 ref 41 ref 5469 ref 5024 ref appTerm 5682 def appTerm 5683 def 4875 ref appTerm 5684 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4954 ref nil 150 ref 5684 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5682 ref nil cons 5685 def cons 5686 def 4921 ref cons nil cons cons 5687 def 416 ref subst 5687 remove 467 ref subst 5682 ref betaConv 5682 remove assume eqMp 5688 def nil 399 ref 5468 ref nil cons cons 5689 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4955 ref 41 ref 5467 ref 5028 ref appTerm 5690 def appTerm 5691 def 4875 ref appTerm 5692 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4955 ref nil 150 ref 5692 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5690 ref nil cons 5693 def cons 5694 def 4921 ref cons nil cons cons 5695 def 416 ref subst 5695 remove 467 ref subst 5690 ref betaConv 5690 remove assume eqMp 5696 def nil 399 ref 5466 ref nil cons cons 5697 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4956 ref 41 ref 5465 ref 5032 ref appTerm 5698 def appTerm 5699 def 4875 ref appTerm 5700 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4956 ref nil 150 ref 5700 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5698 ref nil cons 5701 def cons 5702 def 4921 ref cons nil cons cons 5703 def 416 ref subst 5703 remove 467 ref subst 5698 ref betaConv 5698 remove assume eqMp 5704 def nil 399 ref 5464 ref nil cons cons 5705 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4957 ref 41 ref 5463 ref 5036 ref appTerm 5706 def appTerm 5707 def 4875 ref appTerm 5708 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4957 ref nil 150 ref 5708 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5706 ref nil cons 5709 def cons 5710 def 4921 ref cons nil cons cons 5711 def 416 ref subst 5711 remove 467 ref subst 5706 ref betaConv 5706 remove assume eqMp 5712 def nil 399 ref 5462 ref nil cons cons 5713 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4958 ref 41 ref 5461 ref 5037 ref appTerm 5714 def appTerm 5715 def 4875 ref appTerm 5716 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4958 ref nil 150 ref 5716 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5714 ref nil cons 5717 def cons 5718 def 4921 ref cons nil cons cons 5719 def 416 ref subst 5719 remove 467 ref subst 5714 ref betaConv 5714 remove assume eqMp 5720 def nil 399 ref 5460 ref nil cons cons 5721 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4959 ref 41 ref 5459 ref 5040 ref appTerm 5722 def appTerm 5723 def 4875 ref appTerm 5724 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4959 ref nil 150 ref 5724 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5722 ref nil cons 5725 def cons 5726 def 4921 ref cons nil cons cons 5727 def 416 ref subst 5727 remove 467 ref subst 5722 ref betaConv 5722 remove assume eqMp 5728 def nil 399 ref 5458 ref nil cons cons 5729 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4960 ref 41 ref 5457 ref 5043 ref appTerm 5730 def appTerm 5731 def 4875 ref appTerm 5732 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4960 ref nil 150 ref 5732 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5730 ref nil cons 5733 def cons 5734 def 4921 ref cons nil cons cons 5735 def 416 ref subst 5735 remove 467 ref subst 5730 ref betaConv 5730 remove assume eqMp 5736 def nil 399 ref 5456 ref nil cons cons 5737 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4961 ref 41 ref 5455 ref 5046 ref appTerm 5738 def appTerm 5739 def 4875 ref appTerm 5740 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4961 ref nil 150 ref 5740 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5738 ref nil cons 5741 def cons 5742 def 4921 ref cons nil cons cons 5743 def 416 ref subst 5743 remove 467 ref subst 5738 ref betaConv 5738 remove assume eqMp 5744 def nil 399 ref 5454 ref nil cons cons 5745 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4962 ref 41 ref 5453 ref 5052 ref appTerm 5746 def appTerm 5747 def 4875 ref appTerm 5748 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4962 ref nil 150 ref 5748 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5746 ref nil cons 5749 def cons 5750 def 4921 ref cons nil cons cons 5751 def 416 ref subst 5751 remove 467 ref subst 5746 ref betaConv 5746 remove assume eqMp 5752 def nil 399 ref 5452 ref nil cons cons 5753 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4963 ref 41 ref 5451 ref 5057 ref appTerm 5754 def appTerm 5755 def 4875 ref appTerm 5756 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4963 ref nil 150 ref 5756 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5754 ref nil cons 5757 def cons 5758 def 4921 ref cons nil cons cons 5759 def 416 ref subst 5759 remove 467 ref subst 5754 ref betaConv 5754 remove assume eqMp 5760 def nil 399 ref 5450 ref nil cons cons 5761 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4964 ref 41 ref 5449 ref 5133 ref appTerm 5762 def appTerm 5763 def 4875 ref appTerm 5764 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4964 ref nil 150 ref 5764 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5762 ref nil cons 5765 def cons 5766 def 4921 ref cons nil cons cons 5767 def 416 ref subst 5767 remove 467 ref subst 5762 ref betaConv 5762 remove assume eqMp 5768 def nil 399 ref 5448 ref nil cons cons 5769 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4965 ref 41 ref 5447 ref 5062 ref appTerm 5770 def appTerm 5771 def 4875 ref appTerm 5772 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4965 ref nil 150 ref 5772 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5770 ref nil cons 5773 def cons 5774 def 4921 ref cons nil cons cons 5775 def 416 ref subst 5775 remove 467 ref subst 5770 ref betaConv 5770 remove assume eqMp 5776 def nil 399 ref 5446 ref nil cons cons 5777 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4966 ref 41 ref 5445 ref 5065 ref appTerm 5778 def appTerm 5779 def 4875 ref appTerm 5780 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4966 ref nil 150 ref 5780 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5778 ref nil cons 5781 def cons 5782 def 4921 ref cons nil cons cons 5783 def 416 ref subst 5783 remove 467 ref subst 5778 ref betaConv 5778 remove assume eqMp 5784 def nil 399 ref 5444 ref nil cons cons 5785 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4967 ref 41 ref 5443 ref 5067 ref appTerm 5786 def appTerm 5787 def 4875 ref appTerm 5788 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4967 ref nil 150 ref 5788 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5786 ref nil cons 5789 def cons 5790 def 4921 ref cons nil cons cons 5791 def 416 ref subst 5791 remove 467 ref subst 5786 ref betaConv 5786 remove assume eqMp 5792 def nil 399 ref 5442 ref nil cons cons 5793 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4968 ref 41 ref 5441 ref 5069 ref appTerm 5794 def appTerm 5795 def 4875 ref appTerm 5796 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4968 ref nil 150 ref 5796 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5794 ref nil cons 5797 def cons 5798 def 4921 ref cons nil cons cons 5799 def 416 ref subst 5799 remove 467 ref subst 5794 ref betaConv 5794 remove assume eqMp 5800 def nil 399 ref 5440 ref nil cons cons 5801 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4969 ref 41 ref 5439 ref 5070 ref appTerm 5802 def appTerm 5803 def 4875 ref appTerm 5804 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4969 ref nil 150 ref 5804 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5802 ref nil cons 5805 def cons 5806 def 4921 ref cons nil cons cons 5807 def 416 ref subst 5807 remove 467 ref subst 5802 ref betaConv 5802 remove assume eqMp 5808 def nil 399 ref 5438 ref nil cons cons 5809 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4970 ref 41 ref 5437 ref 5071 ref appTerm 5810 def appTerm 5811 def 4875 ref appTerm 5812 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4970 ref nil 150 ref 5812 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5810 ref nil cons 5813 def cons 5814 def 4921 ref cons nil cons cons 5815 def 416 ref subst 5815 remove 467 ref subst 5810 ref betaConv 5810 remove assume eqMp 5816 def nil 399 ref 5436 ref nil cons cons 5817 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4971 ref 41 ref 5435 ref 5074 ref appTerm 5818 def appTerm 5819 def 4875 ref appTerm 5820 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4971 ref nil 150 ref 5820 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5818 ref nil cons 5821 def cons 5822 def 4921 ref cons nil cons cons 5823 def 416 ref subst 5823 remove 467 ref subst 5818 ref betaConv 5818 remove assume eqMp 5824 def nil 399 ref 5434 ref nil cons cons 5825 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4972 ref 41 ref 5433 ref 5076 ref appTerm 5826 def appTerm 5827 def 4875 ref appTerm 5828 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4972 ref nil 150 ref 5828 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5826 ref nil cons 5829 def cons 5830 def 4921 ref cons nil cons cons 5831 def 416 ref subst 5831 remove 467 ref subst 5826 ref betaConv 5826 remove assume eqMp 5832 def nil 399 ref 5432 ref nil cons cons 5833 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4973 ref 41 ref 5431 ref 5077 ref appTerm 5834 def appTerm 5835 def 4875 ref appTerm 5836 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4973 ref nil 150 ref 5836 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5834 ref nil cons 5837 def cons 5838 def 4921 ref cons nil cons cons 5839 def 416 ref subst 5839 remove 467 ref subst 5834 ref betaConv 5834 remove assume eqMp 5840 def nil 399 ref 5430 ref nil cons cons 5841 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4974 ref 41 ref 5429 ref 5079 ref appTerm 5842 def appTerm 5843 def 4875 ref appTerm 5844 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4974 ref nil 150 ref 5844 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5842 ref nil cons 5845 def cons 5846 def 4921 ref cons nil cons cons 5847 def 416 ref subst 5847 remove 467 ref subst 5842 ref betaConv 5842 remove assume eqMp 5848 def nil 399 ref 5428 ref nil cons cons 5849 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4975 ref 41 ref 5427 ref 5084 ref appTerm 5850 def appTerm 5851 def 4875 ref appTerm 5852 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4975 ref nil 150 ref 5852 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5850 ref nil cons 5853 def cons 5854 def 4921 ref cons nil cons cons 5855 def 416 ref subst 5855 remove 467 ref subst 5850 ref betaConv 5850 remove assume eqMp 5856 def nil 399 ref 5426 ref nil cons cons 5857 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4976 ref 41 ref 5425 ref 5086 ref appTerm 5858 def appTerm 5859 def 4875 ref appTerm 5860 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4976 ref nil 150 ref 5860 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5858 ref nil cons 5861 def cons 5862 def 4921 ref cons nil cons cons 5863 def 416 ref subst 5863 remove 467 ref subst 5858 ref betaConv 5858 remove assume eqMp 5864 def nil 399 ref 5424 ref nil cons cons 5865 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4977 ref 41 ref 5423 ref 5087 ref appTerm 5866 def appTerm 5867 def 4875 ref appTerm 5868 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4977 ref nil 150 ref 5868 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5866 ref nil cons 5869 def cons 5870 def 4921 ref cons nil cons cons 5871 def 416 ref subst 5871 remove 467 ref subst 5866 ref betaConv 5866 remove assume eqMp 5872 def nil 399 ref 5422 ref nil cons cons 5873 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4978 ref 41 ref 5421 ref 5090 ref appTerm 5874 def appTerm 5875 def 4875 ref appTerm 5876 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4978 ref nil 150 ref 5876 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5874 ref nil cons 5877 def cons 5878 def 4921 ref cons nil cons cons 5879 def 416 ref subst 5879 remove 467 ref subst 5874 ref betaConv 5874 remove assume eqMp 5880 def nil 399 ref 5420 ref nil cons cons 5881 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4979 ref 41 ref 5419 ref 5093 ref appTerm 5882 def appTerm 5883 def 4875 ref appTerm 5884 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4979 ref nil 150 ref 5884 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5882 ref nil cons 5885 def cons 5886 def 4921 ref cons nil cons cons 5887 def 416 ref subst 5887 remove 467 ref subst 5882 ref betaConv 5882 remove assume eqMp 5888 def nil 399 ref 5418 ref nil cons cons 5889 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4980 ref 41 ref 5417 ref 5097 ref appTerm 5890 def appTerm 5891 def 4875 ref appTerm 5892 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4980 ref nil 150 ref 5892 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5890 ref nil cons 5893 def cons 5894 def 4921 ref cons nil cons cons 5895 def 416 ref subst 5895 remove 467 ref subst 5890 ref betaConv 5890 remove assume eqMp 5896 def nil 399 ref 5416 ref nil cons cons 5897 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4981 ref 41 ref 5415 ref 5098 ref appTerm 5898 def appTerm 5899 def 4875 ref appTerm 5900 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4981 ref nil 150 ref 5900 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5898 ref nil cons 5901 def cons 5902 def 4921 ref cons nil cons cons 5903 def 416 ref subst 5903 remove 467 ref subst 5898 ref betaConv 5898 remove assume eqMp 5904 def nil 399 ref 5414 ref nil cons cons 5905 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4982 ref 41 ref 5413 ref 5095 ref appTerm 5906 def appTerm 5907 def 4875 ref appTerm 5908 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4982 ref nil 150 ref 5908 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5906 ref nil cons 5909 def cons 5910 def 4921 ref cons nil cons cons 5911 def 416 ref subst 5911 remove 467 ref subst 5906 ref betaConv 5906 remove assume eqMp 5912 def nil 399 ref 5412 ref nil cons cons 5913 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4983 ref 41 ref 5411 ref 5101 ref appTerm 5914 def appTerm 5915 def 4875 ref appTerm 5916 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4983 ref nil 150 ref 5916 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5914 ref nil cons 5917 def cons 5918 def 4921 ref cons nil cons cons 5919 def 416 ref subst 5919 remove 467 ref subst 5914 ref betaConv 5914 remove assume eqMp 5920 def nil 399 ref 5410 ref nil cons cons 5921 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4984 ref 41 ref 5409 ref 5104 ref appTerm 5922 def appTerm 5923 def 4875 ref appTerm 5924 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4984 ref nil 150 ref 5924 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5922 ref nil cons 5925 def cons 5926 def 4921 ref cons nil cons cons 5927 def 416 ref subst 5927 remove 467 ref subst 5922 ref betaConv 5922 remove assume eqMp 5928 def nil 399 ref 5408 ref nil cons cons 5929 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4985 ref 41 ref 5407 ref 5106 ref appTerm 5930 def appTerm 5931 def 4875 ref appTerm 5932 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4985 ref nil 150 ref 5932 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5930 ref nil cons 5933 def cons 5934 def 4921 ref cons nil cons cons 5935 def 416 ref subst 5935 remove 467 ref subst 5930 ref betaConv 5930 remove assume eqMp 5936 def nil 399 ref 5406 ref nil cons cons 5937 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4986 ref 41 ref 5405 ref 5108 ref appTerm 5938 def appTerm 5939 def 4875 ref appTerm 5940 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4986 ref nil 150 ref 5940 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5938 ref nil cons 5941 def cons 5942 def 4921 ref cons nil cons cons 5943 def 416 ref subst 5943 remove 467 ref subst 5938 ref betaConv 5938 remove assume eqMp 5944 def nil 399 ref 5404 ref nil cons cons 5945 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4987 ref 41 ref 5403 ref 5109 ref appTerm 5946 def appTerm 5947 def 4875 ref appTerm 5948 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4987 ref nil 150 ref 5948 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5946 ref nil cons 5949 def cons 5950 def 4921 ref cons nil cons cons 5951 def 416 ref subst 5951 remove 467 ref subst 5946 ref betaConv 5946 remove assume eqMp 5952 def nil 399 ref 5402 ref nil cons cons 5953 def 4921 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4988 ref 41 ref 5401 ref 5178 ref appTerm 5954 def appTerm 5955 def 4875 ref appTerm 5956 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4988 ref nil 150 ref 5956 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 5954 ref nil cons 5957 def cons 5958 def 4921 ref cons nil cons cons 5959 def 416 ref subst 5959 remove 467 ref subst 5954 ref betaConv 5954 remove assume eqMp 5960 def nil 399 ref 5400 remove nil cons 5961 def cons 5962 def 4921 ref cons nil cons cons 5963 def 459 ref subst proveHyp 5963 ref 416 ref subst 5963 remove 467 ref subst nil 435 ref 5278 ref nil cons cons 437 ref 5399 remove nil cons cons nil cons cons nil cons cons 5964 def 451 ref subst 5965 def 5964 remove 515 ref subst 5966 def nil 435 ref 5279 ref nil cons cons 437 ref 5398 remove nil cons cons nil cons cons nil cons cons 5967 def 451 ref subst 5967 remove 515 ref subst 5968 def nil 435 ref 5280 ref nil cons cons 437 ref 5397 remove nil cons cons nil cons cons nil cons cons 5969 def 451 ref subst 5969 remove 515 ref subst 5970 def nil 435 ref 5281 ref nil cons cons 437 ref 5396 remove nil cons cons nil cons cons nil cons cons 5971 def 451 ref subst nil 399 ref 816 remove cons 5972 def 4921 ref cons nil cons cons 459 ref subst 165 ref 1131 ref 5278 remove assume 5973 def appThm 2712 ref appThm appThm 5974 def 5264 ref appThm sym nil 399 ref 180 ref 5277 ref appTerm 5975 def 188 ref appTerm 5976 def nil cons 5977 def cons 5978 def 4921 ref cons nil cons cons 5979 def 416 ref subst 5979 remove 467 ref subst 129 ref "_47007" 14 ref var 5980 def 4349 ref 5980 remove varTerm appTerm 187 ref 2218 ref appTerm 3258 ref appTerm 5981 def appTerm absTerm 5982 def 689 ref appTerm 5983 def appTerm refl 5982 ref 2201 ref appTerm betaConv appThm 439 ref 5983 remove betaConv appThm 4349 ref 2201 ref appTerm 5984 def 5981 ref appTerm 5985 def refl appThm trans 5982 remove refl 5986 def 4151 remove appThm eqMp sym 1003 ref 42 ref 5984 ref 1011 ref appTerm appTerm 4352 ref 5981 ref appTerm 5987 def appTerm absTerm 5988 def 187 ref 738 ref "Data.List.length" const 725 remove constTerm 5989 def 2193 ref appTerm appTerm 5990 def appTerm 2200 ref appTerm 5991 def appTerm betaConv sym nil 1116 ref 5990 remove nil cons cons 1006 ref 2200 ref nil cons 5992 def cons 1003 ref 2194 remove nil cons cons nil cons cons cons nil cons cons 1116 ref 129 ref 4349 ref 1193 remove appTerm 1697 remove appTerm appTerm 4362 ref 1117 ref appTerm 5993 def appTerm absTerm 5994 def 1117 ref appTerm 5995 def betaConv 1003 ref 17 ref 5994 ref appTerm 5996 def absTerm 5997 def 1011 ref appTerm 5998 def betaConv 1006 ref 17 ref 5997 ref appTerm 5999 def absTerm 6000 def 1009 ref appTerm 6001 def betaConv nil 17 ref 6000 ref appTerm 6002 def axiom 6003 def nil 399 ref 6002 remove nil cons cons 6004 def 400 ref 6001 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6000 ref nil cons cons 6005 def 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5999 remove nil cons cons 400 ref 5998 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 5997 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 5996 remove nil cons cons 400 ref 5995 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 5994 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 6006 def subst nil "l" 724 ref var 6007 def 3519 remove cons nil cons nil cons cons nil 150 ref 4349 ref 726 ref 6007 ref varTerm 6008 def appTerm appTerm 738 ref 5989 ref 6008 ref appTerm appTerm appTerm 6009 def nil cons cons nil cons nil cons cons 155 ref subst 6007 ref 6009 remove absTerm 6010 def 6008 ref appTerm 6011 def betaConv nil 7 ref 0 ref 2205 ref 3 ref cons opType constTerm 6012 def 6010 ref appTerm 6013 def axiom 6014 def nil 399 ref 6013 remove nil cons cons 6015 def 400 ref 6011 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3194 ref "P" 2205 remove var 6016 def 6010 ref nil cons cons 6017 def 3518 ref 6008 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp 6018 def subst trans sym 154 ref eqMp nil 399 ref 5984 remove 5991 ref appTerm nil cons cons 400 ref 698 ref 5991 ref appTerm 5981 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 4701 ref 1368 ref 4637 ref nil 472 ref nil cons cons 38 ref 180 ref 5989 ref 2797 ref appTerm appTerm 2672 ref appTerm absTerm 6019 def 47 ref appTerm 6020 def betaConv 470 ref 17 ref 6019 ref appTerm 6021 def absTerm 6022 def 653 ref appTerm 6023 def betaConv nil 11 ref 6022 ref appTerm 6024 def axiom nil 399 ref 6024 remove nil cons cons 400 ref 6023 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 6022 remove nil cons cons 2682 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6021 remove nil cons cons 400 ref 6020 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6019 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 6025 def subst 5973 remove 5976 ref assume 6026 def trans trans appThm appThm 2200 ref refl appThm appThm 5981 ref refl 6027 def appThm nil 1116 ref 3260 remove cons 6028 def 1003 ref 5992 remove cons 1006 ref 2218 ref nil cons 6029 def cons 6030 def nil cons 6031 def cons cons nil cons cons 1116 ref 129 ref 698 ref 1134 ref appTerm 6032 def 1118 ref appTerm appTerm 4555 ref appTerm absTerm 6033 def 1117 ref appTerm 6034 def betaConv 1003 ref 17 ref 6033 ref appTerm 6035 def absTerm 6036 def 1011 ref appTerm 6037 def betaConv 1006 ref 17 ref 6036 ref appTerm 6038 def absTerm 6039 def 1009 ref appTerm 6040 def betaConv nil 17 ref 6039 ref appTerm 6041 def axiom 6042 def nil 399 ref 6041 remove nil cons cons 6043 def 400 ref 6040 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6039 ref nil cons cons 6044 def 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6038 remove nil cons cons 400 ref 6037 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6036 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6035 remove nil cons cons 400 ref 6034 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6033 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 6045 def subst trans sym 698 ref 2200 ref appTerm refl 4643 remove nil 2091 ref 1215 ref cons nil cons cons 6046 def 4689 ref 1011 ref appTerm 6047 def betaConv 4691 ref 1009 ref appTerm 6048 def betaConv 4693 remove nil 399 ref 4692 remove nil cons cons 400 ref 6048 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4691 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4690 remove nil cons cons 400 ref 6047 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4689 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 6049 def subst trans 6050 def appThm nil 1116 ref 6029 ref cons 6051 def 1003 ref 2199 ref nil cons 6052 def cons 1215 ref cons cons nil cons cons 1116 ref 129 ref 698 ref 2865 ref appTerm 2867 ref appTerm appTerm 1486 ref 4372 ref appTerm 6053 def 4555 ref appTerm appTerm absTerm 6054 def 1117 ref appTerm 6055 def betaConv 1003 ref 17 ref 6054 ref appTerm 6056 def absTerm 6057 def 1011 ref appTerm 6058 def betaConv 1006 ref 17 ref 6057 ref appTerm 6059 def absTerm 6060 def 1009 ref appTerm 6061 def betaConv nil 17 ref 6060 ref appTerm 6062 def axiom 6063 def nil 399 ref 6062 remove nil cons cons 6064 def 400 ref 6061 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6060 ref nil cons cons 6065 def 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6059 remove nil cons cons 400 ref 6058 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6057 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6056 remove nil cons cons 400 ref 6055 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6054 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 6066 def subst trans sym 1003 ref 42 ref 4349 ref 2199 ref appTerm 6067 def 1011 ref appTerm appTerm 4352 ref 2218 ref appTerm 6068 def appTerm absTerm 6069 def 738 ref 5989 ref 2198 ref appTerm appTerm 6070 def appTerm betaConv sym nil 6007 ref 3750 remove cons nil cons nil cons cons 6018 ref subst sym 154 ref eqMp nil 399 ref 6067 ref 6070 ref appTerm nil cons cons 400 ref 698 ref 6070 ref appTerm 2218 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 4701 ref 4637 ref nil 474 ref nil cons cons 6025 ref subst 5279 remove assume 6026 ref trans trans appThm appThm 2218 ref refl 6071 def appThm nil 1003 ref 6029 remove cons 6072 def nil cons nil cons cons 6073 def 4700 ref subst 6074 def trans sym 154 ref eqMp eqMp eqMp 162 ref 160 ref 6069 ref nil cons cons 475 ref 6070 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6069 remove appTerm nil cons cons 400 ref 6067 remove 2218 ref appTerm nil cons 6075 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6051 ref 1006 ref 6052 remove cons nil cons 6076 def cons nil cons cons 4602 ref subst eqMp nil 399 ref 6075 remove cons 400 ref 698 ref 2199 remove appTerm 2218 ref appTerm nil cons 6077 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6072 ref 6076 remove cons nil cons cons 1003 ref 41 ref 4460 ref appTerm 6078 def 1012 ref appTerm absTerm 6079 def 1011 ref appTerm 6080 def betaConv 1006 ref 17 ref 6079 ref appTerm 6081 def absTerm 6082 def 1009 ref appTerm 6083 def betaConv nil 17 ref 6082 ref appTerm 6084 def axiom nil 399 ref 6084 remove nil cons cons 400 ref 6083 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6082 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6081 remove nil cons cons 400 ref 6080 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6079 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 6085 def subst eqMp nil 435 ref 4383 remove nil cons cons 6086 def 437 ref 6077 remove cons nil cons cons nil cons cons 1570 remove sym 6087 def nil 610 ref 150 ref 41 ref 1558 remove 151 ref appTerm 6088 def appTerm 41 ref 1554 remove 151 ref appTerm 6089 def appTerm 151 ref appTerm 6090 def appTerm 6091 def absTerm nil cons cons nil cons nil cons cons 3523 ref subst 6092 def 150 ref nil 150 ref 6091 remove nil cons cons nil cons nil cons cons 155 ref subst 6093 def nil 399 ref 6088 ref nil cons 6094 def cons 400 ref 6090 remove nil cons 6095 def cons nil cons cons nil cons cons 6096 def 416 ref subst 6097 def 6096 remove 467 ref subst 6098 def nil 399 ref 6089 ref nil cons 6099 def cons 400 ref 612 ref cons nil cons 6100 def cons nil cons cons 6101 def 416 ref subst 6102 def 6101 remove 467 ref subst 6103 def nil 399 ref 666 remove cons 6100 ref cons nil cons cons 459 ref subst 6089 remove assume eqMp eqMp nil 435 ref 6099 remove cons 437 ref 612 remove cons nil cons cons nil cons cons 451 ref subst 6104 def deductAntisym eqMp eqMp nil 435 ref 6094 remove cons 437 ref 6095 remove cons nil cons cons nil cons cons 451 ref subst 6105 def deductAntisym eqMp eqMp absThm eqMp eqMp 6106 def subst proveHyp eqMp eqMp eqMp eqMp 162 ref 160 ref 5988 ref nil cons cons 475 ref 5991 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 5988 remove appTerm nil cons cons 400 ref 5985 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 5981 ref nil cons 6107 def cons 6108 def 1006 ref 2201 remove nil cons cons nil cons cons nil cons cons 4602 ref subst eqMp eqMp 4848 ref 58 ref appTerm 6109 def betaConv nil 399 ref 4929 remove cons 6110 def 400 ref 6109 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 4848 ref nil cons cons 6111 def 477 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 42 ref 4838 ref 58 ref appTerm appTerm 4838 ref 4840 ref appTerm appTerm appTerm 180 ref 187 ref 726 ref 2233 ref 713 ref 58 ref appTerm 6112 def appTerm 6113 def appTerm 6114 def appTerm 2196 ref 726 ref 2234 ref 6112 ref appTerm 6115 def appTerm 6116 def appTerm 6117 def appTerm 6118 def appTerm 1881 ref appTerm 6119 def appTerm nil cons cons 400 ref 4349 ref 1881 ref appTerm 6120 def 5981 ref appTerm 6121 def nil cons 6122 def cons nil cons 6123 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 625 ref nil 1003 ref 476 ref cons 6124 def nil cons nil cons cons 4700 ref subst appThm nil 1231 ref 1221 ref cons 6125 def nil cons cons nil 150 ref 1010 ref 1134 ref appTerm 6126 def nil cons cons nil cons nil cons cons 155 ref subst 1003 ref 6126 remove absTerm 6127 def 1011 ref appTerm 6128 def betaConv 1006 ref 17 ref 6127 ref appTerm 6129 def absTerm 6130 def 1009 ref appTerm 6131 def betaConv nil 17 ref 6130 ref appTerm 6132 def axiom nil 399 ref 6132 remove nil cons cons 400 ref 6131 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6130 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6129 remove nil cons cons 400 ref 6128 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6127 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp 6133 def subst appThm 634 ref trans appThm 6119 ref refl appThm nil 150 ref 6119 ref nil cons 6134 def cons nil cons nil cons cons 614 ref subst trans appThm 6121 ref refl appThm sym nil 399 ref 6134 ref cons 6123 remove cons nil cons cons 6135 def 416 ref subst 6135 remove 467 ref subst 129 ref "_47009" 14 ref var 6136 def 4349 ref 6136 remove varTerm appTerm 5981 ref appTerm absTerm 6137 def 1881 ref appTerm 6138 def appTerm refl 6137 remove 6118 ref appTerm betaConv appThm 439 ref 6138 remove betaConv appThm 4349 ref 6118 ref appTerm 6139 def 5981 ref appTerm 6140 def refl appThm trans 5986 remove 6119 remove assume sym appThm eqMp sym 1003 ref 42 ref 6139 ref 1011 ref appTerm appTerm 5987 remove appTerm absTerm 6141 def 187 ref 738 ref 5989 ref 6113 ref appTerm appTerm 6142 def appTerm 6117 ref appTerm 6143 def appTerm betaConv sym nil 1116 ref 6142 remove nil cons cons 1006 ref 6117 ref nil cons 6144 def cons 1003 ref 6114 remove nil cons cons nil cons cons cons nil cons cons 6006 ref subst nil 6007 ref 6113 remove nil cons cons nil cons nil cons cons 6018 ref subst trans sym 154 ref eqMp nil 399 ref 6139 remove 6143 ref appTerm nil cons cons 400 ref 698 ref 6143 ref appTerm 5981 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 4701 ref 1368 ref 4637 ref nil 38 ref 6112 ref nil cons 6145 def cons 6146 def 479 ref cons nil cons cons 6025 ref subst 5280 remove assume 6026 ref trans trans appThm appThm 6117 ref refl appThm appThm 6027 remove appThm nil 6028 ref 1003 ref 6144 remove cons 6031 ref cons cons nil cons cons 6045 ref subst trans sym 698 ref 6117 remove appTerm refl 6050 remove appThm nil 6051 ref 1003 ref 6116 ref nil cons 6147 def cons 1215 ref cons cons nil cons cons 6066 ref subst trans sym 1003 ref 42 ref 4349 ref 6116 ref appTerm 6148 def 1011 ref appTerm appTerm 6068 remove appTerm absTerm 6149 def 738 ref 5989 ref 6115 ref appTerm appTerm 6150 def appTerm betaConv sym nil 6007 remove 6115 remove nil cons cons nil cons nil cons cons 6018 remove subst sym 154 ref eqMp nil 399 ref 6148 ref 6150 ref appTerm nil cons cons 400 ref 698 ref 6150 ref appTerm 2218 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 4701 ref 4637 ref nil 6146 remove 481 ref cons nil cons cons 6025 ref subst 5281 remove assume 6026 ref trans trans appThm appThm 6071 remove appThm 6074 remove trans sym 154 ref eqMp eqMp eqMp 162 ref 160 ref 6149 ref nil cons cons 475 ref 6150 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6149 remove appTerm nil cons cons 400 ref 6148 remove 2218 ref appTerm nil cons 6151 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6051 remove 1006 ref 6147 remove cons nil cons 6152 def cons nil cons cons 4602 ref subst eqMp nil 399 ref 6151 remove cons 400 ref 698 ref 6116 remove appTerm 2218 ref appTerm nil cons 6153 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6072 ref 6152 remove cons nil cons cons 6085 ref subst eqMp nil 6086 remove 437 ref 6153 remove cons nil cons cons nil cons cons 6106 ref subst proveHyp eqMp eqMp eqMp eqMp 162 ref 160 ref 6141 ref nil cons cons 475 ref 6143 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6141 remove appTerm nil cons cons 400 ref 6140 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6108 remove 1006 ref 6118 remove nil cons cons nil cons cons nil cons cons 4602 ref subst eqMp eqMp eqMp nil 435 ref 6134 remove cons 437 ref 6122 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 695 ref 2084 ref cons 6154 def 4360 ref cons nil cons cons 695 ref 129 ref 4835 ref 710 ref appTerm 6155 def appTerm 6156 def 4362 ref 2268 remove appTerm 6157 def appTerm 6158 def absTerm 6159 def 710 ref appTerm 6160 def betaConv 1003 ref 17 ref 6159 ref appTerm 6161 def absTerm 6162 def 1011 ref appTerm 6163 def betaConv nil 17 ref 6162 ref appTerm 6164 def axiom 6165 def nil 399 ref 6164 remove nil cons cons 400 ref 6163 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6162 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6161 remove nil cons cons 400 ref 6160 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6159 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 6166 def subst sym 1003 ref 4351 remove 4352 ref 4868 ref appTerm 6167 def appTerm absTerm 6168 def 5981 ref appTerm betaConv sym 625 ref nil 150 ref 4350 ref 5981 ref appTerm 6169 def nil cons 6170 def cons nil cons nil cons cons 155 ref subst 6169 ref assume eqMp appThm 698 ref 5981 ref appTerm 6171 def 4868 ref appTerm 6172 def refl 6173 def appThm nil 150 ref 6172 remove nil cons 6174 def cons nil cons nil cons cons 633 ref subst 6175 def trans sym 1003 ref 42 ref 6171 ref 1011 ref appTerm appTerm 6167 ref appTerm absTerm 6176 def 187 ref 2223 remove appTerm 3258 remove appTerm 6177 def appTerm betaConv sym 6171 ref refl 1368 ref 6073 remove 4673 ref 1011 ref appTerm 6178 def betaConv 4675 remove nil 399 ref 4674 remove nil cons cons 400 ref 6178 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 4673 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 6179 def subst appThm 3259 remove appThm nil 6028 remove 6072 remove 6031 remove cons cons nil cons cons 1169 ref subst trans appThm nil 6030 remove 1003 ref 6107 ref cons nil cons cons nil cons cons 4727 ref subst trans sym 154 ref eqMp nil 399 ref 6171 remove 6177 ref appTerm nil cons cons 400 ref 698 ref 6177 ref appTerm 4868 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 4701 ref 1368 ref 6046 remove 4694 ref subst 737 ref refl 6180 def 4390 ref appThm 6181 def 4353 ref refl appThm trans appThm 6181 ref 4642 remove appThm appThm nil 1003 ref 737 ref 1285 ref 192 ref appTerm 6182 def appTerm 6183 def 4353 remove appTerm 6184 def nil cons cons nil cons nil cons cons 4676 ref subst 3238 ref 4390 ref appThm 6184 remove refl appThm nil 4677 remove 1006 ref 6182 ref nil cons cons nil cons 6185 def cons nil cons cons 4694 ref subst trans trans trans appThm 6181 ref 1243 ref 4390 ref appThm 6186 def 2688 ref 1324 ref subst 6187 def 4652 remove trans trans appThm appThm nil 1003 ref 6183 ref 4354 remove appTerm nil cons cons nil cons nil cons cons 4700 ref subst trans sym 154 ref eqMp eqMp eqMp 162 ref 160 ref 6176 ref nil cons cons 475 ref 6177 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6176 remove appTerm nil cons cons 400 ref 6174 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 4868 ref nil cons 6188 def cons 6189 def 1006 ref 6107 ref cons nil cons cons nil cons cons 4776 ref subst eqMp 6190 def eqMp eqMp 162 ref 160 ref 6168 ref nil cons cons 475 ref 6107 remove cons nil cons 6191 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6168 remove appTerm nil cons cons 400 ref 4350 ref 4868 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6189 ref 4553 ref cons nil cons cons 4602 ref subst eqMp eqMp nil 399 ref 2190 ref nil cons 6192 def cons 6193 def 400 ref 41 ref 2190 ref appTerm 4874 ref appTerm 6194 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 6193 remove 400 ref 4874 remove nil cons 6195 def cons nil cons 6196 def cons nil cons cons 6197 def 416 ref subst 6197 remove 467 ref subst nil 6154 ref 1003 ref 1881 ref nil cons 6198 def cons 6199 def nil cons cons nil cons cons 6166 ref subst sym 1003 ref 42 ref 6120 ref 1011 ref appTerm appTerm 6167 remove appTerm absTerm 6200 def 5981 remove appTerm betaConv sym 625 ref nil 150 ref 6122 ref cons nil cons nil cons cons 155 ref subst 6121 ref assume eqMp appThm 6173 remove appThm 6175 remove trans sym 6190 remove eqMp eqMp 162 ref 160 ref 6200 ref nil cons cons 6191 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6200 remove appTerm nil cons cons 400 ref 6120 ref 4868 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6189 ref 1006 ref 6198 ref cons nil cons 6201 def cons nil cons cons 4602 ref subst eqMp eqMp nil 399 ref 4858 ref nil cons 6202 def cons 6203 def 400 ref 41 ref 4858 ref appTerm 4873 ref appTerm 6204 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 6203 remove 400 ref 4873 remove nil cons 6205 def cons nil cons cons nil cons cons 6206 def 416 ref subst 6206 remove 467 ref subst 1003 ref 42 ref 4863 remove 1011 ref appTerm appTerm 4352 ref 4865 ref appTerm 6207 def appTerm absTerm 6208 def 187 ref 2188 remove appTerm 4857 ref appTerm 6209 def appTerm betaConv sym 625 ref nil 6199 ref 4553 ref cons 6210 def nil cons cons nil 150 ref 698 ref 2187 ref 2865 ref appTerm appTerm 187 ref 2187 ref 1009 ref appTerm appTerm 4363 remove appTerm appTerm 6211 def nil cons cons nil cons nil cons cons 155 ref subst 1003 ref 6211 remove absTerm 6212 def 1011 ref appTerm 6213 def betaConv 1006 ref 17 ref 6212 ref appTerm 6214 def absTerm 6215 def 1009 ref appTerm 6216 def betaConv nil 17 ref 6215 ref appTerm 6217 def axiom nil 399 ref 6217 remove nil cons cons 400 ref 6216 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6215 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6214 remove nil cons cons 400 ref 6213 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6212 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp subst appThm 698 ref 6209 ref appTerm 6218 def 4865 ref appTerm 6219 def refl appThm nil 150 ref 6219 remove nil cons 6220 def cons nil cons nil cons cons 633 ref subst trans sym 1003 ref 42 ref 6218 remove 1011 ref appTerm appTerm 6207 remove appTerm absTerm 6221 def 4864 ref 4857 ref appTerm 6222 def appTerm betaConv sym 625 ref nil 2085 ref 1006 ref 4857 remove nil cons 6223 def cons 1003 ref 4368 remove cons nil cons cons cons nil cons cons 4718 ref subst nil 150 ref 6192 ref cons nil cons nil cons cons 155 ref subst 2190 remove assume eqMp 6224 def trans appThm nil 2085 ref 1003 ref 6223 remove cons 1006 ref 2084 ref cons nil cons 6225 def cons cons nil cons cons 6045 ref subst nil 150 ref 6202 ref cons nil cons nil cons cons 155 ref subst 4858 remove assume eqMp trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 6221 ref nil cons cons 475 ref 6222 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6221 remove appTerm nil cons cons 400 ref 6220 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 4865 remove nil cons cons 6226 def 1006 ref 6209 remove nil cons 6227 def cons nil cons cons nil cons cons 4776 ref subst eqMp eqMp eqMp 162 ref 160 ref 6208 ref nil cons cons 475 ref 6227 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6208 remove appTerm nil cons cons 400 ref 4866 remove nil cons 6228 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6226 remove 1006 ref 4862 remove nil cons cons nil cons cons nil cons cons 4776 ref subst eqMp nil 399 ref 6228 ref cons 400 ref 4872 ref nil cons 6229 def cons nil cons 6230 def cons nil cons cons 467 ref subst proveHyp nil 399 ref 6122 remove cons 6230 ref cons nil cons cons 459 ref subst nil 399 ref 6170 remove cons 400 ref 41 ref 6121 remove appTerm 4872 ref appTerm 6231 def nil cons cons nil cons cons nil cons cons 459 ref subst nil 5978 ref 400 ref 41 ref 6169 remove appTerm 6231 remove appTerm 6232 def nil cons cons nil cons cons nil cons cons 459 ref subst 1006 ref 6053 ref 167 ref 1003 ref 1106 ref 1286 ref appTerm 6233 def absTerm 6234 def appTerm 6235 def appTerm 6236 def absTerm 6237 def 188 ref appTerm 6238 def betaConv nil 17 ref 6237 ref appTerm 6239 def axiom 6240 def nil 399 ref 6239 remove nil cons cons 6241 def 400 ref 6238 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6237 ref nil cons cons 6242 def 3642 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1486 ref 180 ref 188 ref appTerm 6243 def 191 ref appTerm 6244 def appTerm 167 ref 1003 ref 6243 ref 1286 ref appTerm absTerm 6245 def appTerm 6246 def appTerm nil cons 6247 def cons 400 ref 41 ref 5976 remove appTerm 6232 remove appTerm 6248 def nil cons 6249 def cons nil cons 6250 def cons nil cons cons 6251 def 459 ref subst proveHyp 6251 ref 416 ref subst 6251 remove 467 ref subst nil 160 ref "qs" 14 ref var 6252 def 41 ref 6245 ref 6252 ref varTerm 6253 def appTerm 6254 def appTerm 6248 ref appTerm 6255 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 6252 remove nil 150 ref 6255 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 6254 ref nil cons 6256 def cons 6250 ref cons nil cons cons 6257 def 416 ref subst 6257 remove 467 ref subst 6254 ref betaConv 6254 remove assume eqMp nil 399 ref 6243 remove 1285 ref 6253 ref appTerm 6258 def appTerm 6259 def nil cons 6260 def cons 6250 ref cons nil cons cons 6261 def 459 ref subst proveHyp 6261 ref 416 ref subst 6261 remove 467 ref subst 129 ref "_47185" 14 ref var 6262 def 41 ref 5975 ref 6262 remove varTerm 6263 def appTerm appTerm 41 ref 4350 ref 187 ref 738 ref 6263 ref appTerm appTerm 738 ref 187 ref 6263 remove appTerm 6264 def 192 ref appTerm appTerm appTerm 6265 def appTerm appTerm 41 ref 6120 ref 6265 remove appTerm appTerm 698 ref 2187 ref 4867 ref 738 ref 6264 remove 207 ref appTerm 6266 def appTerm appTerm 710 ref appTerm 4861 ref appTerm appTerm appTerm 6266 remove appTerm appTerm appTerm appTerm absTerm 6267 def 188 ref appTerm 6268 def appTerm refl 6269 def 6267 ref 6258 ref appTerm betaConv appThm 439 ref 6268 remove betaConv appThm 6270 def 41 ref 5975 ref 6258 ref appTerm appTerm 41 ref 4350 ref 187 ref 738 ref 6258 ref appTerm appTerm 738 ref 187 ref 6258 ref appTerm 6271 def 192 ref appTerm appTerm appTerm 6272 def appTerm appTerm 41 ref 6120 ref 6272 remove appTerm appTerm 698 ref 2187 ref 4867 ref 738 ref 6271 remove 207 ref appTerm 6273 def appTerm appTerm 710 ref appTerm 4861 ref appTerm appTerm appTerm 6273 remove appTerm appTerm appTerm appTerm 6274 def refl appThm trans 6267 remove refl 6275 def 6259 remove assume 6276 def appThm eqMp sym 6237 ref 6253 ref appTerm 6277 def betaConv 6240 ref nil 6241 ref 400 ref 6277 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6242 ref 475 ref 6253 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1486 ref 180 ref 6253 ref appTerm 6278 def 191 ref appTerm 6279 def appTerm 167 ref 1003 ref 6278 ref 1286 ref appTerm absTerm 6280 def appTerm 6281 def appTerm nil cons 6282 def cons 400 ref 6274 ref nil cons 6283 def cons nil cons 6284 def cons nil cons cons 6285 def 459 ref subst proveHyp 6285 ref 416 ref subst 6285 remove 467 ref subst nil 160 ref "q" 14 ref var 6286 def 41 ref 6280 ref 6286 ref varTerm 6287 def appTerm 6288 def appTerm 6274 ref appTerm 6289 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 6286 remove nil 150 ref 6289 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 6288 ref nil cons 6290 def cons 6284 ref cons nil cons cons 6291 def 416 ref subst 6291 remove 467 ref subst 6288 ref betaConv 6288 remove assume eqMp nil 399 ref 6278 remove 1285 ref 6287 ref appTerm 6292 def appTerm 6293 def nil cons 6294 def cons 6284 ref cons nil cons cons 6295 def 459 ref subst proveHyp 6295 ref 416 ref subst 6295 remove 467 ref subst 129 ref "_47533" 14 ref var 6296 def 41 ref 5975 ref 1285 ref 6296 remove varTerm appTerm 6297 def appTerm appTerm 41 ref 4350 ref 187 ref 738 ref 6297 ref appTerm appTerm 738 ref 187 ref 6297 remove appTerm 6298 def 192 ref appTerm appTerm appTerm 6299 def appTerm appTerm 41 ref 6120 ref 6299 remove appTerm appTerm 698 ref 2187 ref 4867 ref 738 ref 6298 remove 207 ref appTerm 6300 def appTerm appTerm 710 ref appTerm 4861 ref appTerm appTerm appTerm 6300 remove appTerm appTerm appTerm appTerm absTerm 6301 def 6253 ref appTerm 6302 def appTerm refl 6303 def 6301 ref 6292 ref appTerm betaConv appThm 439 ref 6302 remove betaConv appThm 6304 def 41 ref 5975 ref 1285 ref 6292 ref appTerm 6305 def appTerm 6306 def appTerm 41 ref 4350 ref 187 ref 738 ref 6305 ref appTerm 6307 def appTerm 6308 def 738 ref 187 ref 6305 ref appTerm 6309 def 192 ref appTerm appTerm appTerm 6310 def appTerm appTerm 41 ref 6120 ref 6310 remove appTerm appTerm 698 ref 2187 ref 4867 ref 738 ref 6309 ref 207 ref appTerm 6311 def appTerm appTerm 710 ref appTerm 4861 ref appTerm appTerm appTerm 6311 remove appTerm 6312 def appTerm appTerm 6313 def appTerm refl appThm trans 6301 remove refl 6314 def 6293 remove assume 6315 def appThm eqMp sym nil 399 ref 6306 remove nil cons 6316 def cons 400 ref 6313 remove nil cons 6317 def cons nil cons cons nil cons cons 6318 def 416 ref subst 6318 remove 467 ref subst 165 ref 4350 ref refl 6319 def 6308 ref refl 4637 ref nil 1006 ref 6305 ref nil cons 6320 def cons nil cons 6321 def nil cons cons 4641 ref subst 6322 def appThm appThm 6323 def appThm appThm 165 ref 6120 ref refl 6324 def 6323 remove appThm appThm 6312 ref refl appThm appThm sym nil 399 ref 4350 ref 6308 remove 738 ref 1285 ref 6305 ref appTerm 6325 def appTerm 6326 def appTerm 6327 def appTerm nil cons 6328 def cons 6329 def 400 ref 41 ref 6120 ref 6327 ref appTerm 6330 def appTerm 6312 ref appTerm nil cons 6331 def cons nil cons cons nil cons cons 6332 def 416 ref subst 6332 remove 467 ref subst nil 399 ref 6330 remove nil cons 6333 def cons 6334 def 400 ref 6312 remove nil cons 6335 def cons nil cons cons nil cons cons 6336 def 416 ref subst 6336 remove 467 ref subst 4701 ref 2187 ref refl 6337 def 4867 ref refl 6338 def 6181 ref 6309 remove refl 4390 ref appThm nil 1237 ref 6321 ref cons nil cons cons 1324 ref subst 1301 ref 6322 remove appThm trans trans 6339 def appThm appThm 710 ref refl 6340 def appThm 4861 ref refl 6341 def appThm appThm appThm 6339 remove appThm sym nil 695 ref 1285 ref 6325 ref appTerm 6342 def nil cons 6343 def cons 1003 ref 4867 ref 6183 ref 6342 ref appTerm appTerm 710 ref appTerm 4861 ref appTerm nil cons cons nil cons cons nil cons cons 6166 remove subst 4349 ref refl 6344 def 6338 ref 6180 ref 4407 ref appThm 6342 ref refl appThm appThm 6340 ref appThm 6341 ref appThm appThm 738 ref 6342 remove appTerm 6345 def refl 6346 def appThm trans sym "n'" 14 ref var 6347 def 42 ref 4349 ref 4867 ref 6345 ref appTerm 710 ref appTerm 4861 ref appTerm 6348 def appTerm 6349 def 6347 ref varTerm 6350 def appTerm appTerm 698 ref 6350 ref appTerm 6345 ref appTerm 6351 def appTerm absTerm 6352 def 187 ref 187 ref 738 ref 6287 ref appTerm 6353 def appTerm 6354 def 6326 ref appTerm 6355 def appTerm 6356 def 1011 ref appTerm 6357 def appTerm betaConv sym 625 ref 3408 remove appThm 6358 def 42 ref 77 ref 180 ref 6345 ref appTerm 191 ref appTerm appTerm 6359 def appTerm 698 ref 4861 ref appTerm 6360 def 2195 ref 6345 ref appTerm 6355 ref appTerm 6361 def appTerm 6362 def appTerm 6363 def refl appThm nil 150 ref 6363 ref nil cons cons nil cons nil cons cons 633 ref subst trans sym 620 ref nil 1003 ref 6343 remove cons 1215 ref cons 6364 def nil cons cons 1003 ref 129 ref 180 ref 4679 ref appTerm 191 ref appTerm appTerm 42 ref 4372 ref appTerm 6365 def 2185 ref appTerm appTerm absTerm 6366 def 1011 ref appTerm 6367 def betaConv 1006 ref 17 ref 6366 ref appTerm 6368 def absTerm 6369 def 1009 ref appTerm 6370 def betaConv nil 17 ref 6369 ref appTerm 6371 def axiom nil 399 ref 6371 remove nil cons cons 400 ref 6370 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6369 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6368 remove nil cons cons 400 ref 6367 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6366 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst 625 ref 4400 ref appThm 6372 def 620 ref nil 1003 ref 6325 remove nil cons 6373 def cons 6374 def nil cons nil cons cons 4399 ref subst appThm 1507 ref trans appThm 4059 ref trans trans appThm 1507 ref trans sym 154 ref eqMp nil 399 ref 6359 remove nil cons cons 400 ref 6362 remove nil cons cons nil cons 6375 def cons nil cons cons 467 ref subst proveHyp 1003 ref 42 ref 6360 ref 1011 ref appTerm appTerm 4352 ref 6361 ref appTerm 6376 def appTerm absTerm 6377 def 2195 ref 6327 ref appTerm 6378 def 1881 ref appTerm 6379 def appTerm betaConv sym nil 1003 ref 6327 ref nil cons 6380 def cons 6381 def 1116 ref 6198 ref cons 4553 ref cons cons nil cons cons 1116 ref 129 ref 698 ref 2867 ref appTerm 3222 ref 1117 ref appTerm 6382 def appTerm appTerm 1486 ref 1012 ref appTerm 4471 remove 191 ref appTerm 6383 def appTerm appTerm absTerm 6384 def 1117 ref appTerm 6385 def betaConv 1003 ref 17 ref 6384 ref appTerm 6386 def absTerm 6387 def 1011 ref appTerm 6388 def betaConv 1006 ref 17 ref 6387 ref appTerm 6389 def absTerm 6390 def 1009 ref appTerm 6391 def betaConv nil 17 ref 6390 ref appTerm 6392 def axiom nil 399 ref 6392 remove nil cons cons 400 ref 6391 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6390 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6389 remove nil cons cons 400 ref 6388 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6387 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6386 remove nil cons cons 400 ref 6385 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6384 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst sym nil 6329 remove 400 ref 698 ref 689 ref appTerm 6327 ref appTerm nil cons 6393 def cons nil cons cons nil cons cons 459 ref subst nil 6381 ref 4553 ref cons nil cons cons 6085 ref subst eqMp nil 435 ref 6393 remove cons 437 ref 1888 ref 191 ref appTerm nil cons cons nil cons cons nil cons cons 6087 remove 6092 remove 150 ref 6093 remove 6097 remove 6098 remove 6102 remove 6103 remove nil 1917 remove 6100 remove cons nil cons cons 459 ref subst 6088 remove assume eqMp eqMp 6104 remove deductAntisym eqMp eqMp 6105 remove deductAntisym eqMp eqMp absThm eqMp eqMp 6394 def subst proveHyp eqMp nil 399 ref 6360 remove 6379 ref appTerm nil cons cons 400 ref 698 ref 6379 ref appTerm 6395 def 6361 ref appTerm nil cons cons nil cons 6396 def cons nil cons cons 467 ref subst proveHyp 1003 ref 42 ref 6395 ref 1011 ref appTerm appTerm 6376 remove appTerm absTerm 6397 def 6378 remove 6327 ref appTerm 6398 def appTerm betaConv sym nil 1116 ref 6380 ref cons 6399 def 6199 ref 1006 ref 6380 remove cons nil cons cons cons nil cons cons 6066 ref subst sym nil 6334 remove 400 ref 698 ref 1881 ref appTerm 6327 ref appTerm nil cons 6400 def cons nil cons cons nil cons cons 459 ref subst nil 6381 remove 6201 remove cons nil cons cons 6085 ref subst eqMp nil 435 ref 180 ref 6327 ref appTerm 191 ref appTerm nil cons cons 437 ref 6400 remove cons nil cons cons nil cons cons 6106 ref subst proveHyp eqMp nil 399 ref 6395 remove 6398 ref appTerm nil cons cons 400 ref 698 ref 6398 ref appTerm 6361 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 4701 ref nil 6399 ref 1003 ref 6326 ref nil cons 6401 def cons 6402 def 1006 ref 6307 ref nil cons 6403 def cons nil cons 6404 def cons cons nil cons cons 1116 ref 180 ref 2195 ref 1134 ref appTerm 1117 ref appTerm appTerm 187 ref 2867 ref appTerm 6382 ref appTerm appTerm absTerm 6405 def 1117 ref appTerm 6406 def betaConv 1003 ref 17 ref 6405 ref appTerm 6407 def absTerm 6408 def 1011 ref appTerm 6409 def betaConv 1006 ref 17 ref 6408 ref appTerm 6410 def absTerm 6411 def 1009 ref appTerm 6412 def betaConv nil 17 ref 6411 ref appTerm 6413 def axiom nil 399 ref 6413 remove nil cons cons 400 ref 6412 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6411 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6410 remove nil cons cons 400 ref 6409 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6408 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6407 remove nil cons cons 400 ref 6406 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6405 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst 1368 ref nil 1116 ref 6401 ref cons 6414 def 1003 ref 6403 ref cons 6415 def 6404 remove cons cons nil cons cons 2877 ref subst 1368 ref nil 1116 ref 6320 ref cons 6416 def 1003 ref 6320 ref cons 6417 def 1215 ref cons 6418 def cons nil cons cons 1116 ref 180 ref 2195 ref 4679 remove appTerm 4678 ref 1117 ref appTerm appTerm 6419 def appTerm 4678 ref 1120 remove appTerm 6420 def appTerm 6421 def absTerm 6422 def 1117 ref appTerm 6423 def betaConv 1003 ref 17 ref 6422 ref appTerm 6424 def absTerm 6425 def 1011 ref appTerm 6426 def betaConv 1006 ref 17 ref 6425 ref appTerm 6427 def absTerm 6428 def 1009 ref appTerm 6429 def betaConv 603 ref 1006 ref 603 ref 1003 ref 603 ref 1116 ref 6421 remove assume sym 180 ref 6420 remove appTerm 6419 remove appTerm 6430 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 17 ref 1006 ref 17 ref 1003 ref 17 ref 1116 ref 6430 remove absTerm 6431 def appTerm 6432 def absTerm 6433 def appTerm 6434 def absTerm 6435 def appTerm 6436 def axiom 6437 def eqMp nil 399 ref 17 ref 6428 ref appTerm nil cons cons 400 ref 6429 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6428 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6427 remove nil cons cons 400 ref 6426 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6425 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6424 remove nil cons cons 400 ref 6423 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6422 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 6438 def subst 4637 ref nil 6417 ref 1006 ref 6292 ref nil cons 6439 def cons nil cons 6440 def cons nil cons cons 1313 ref subst 1301 ref nil 6417 ref 1006 ref 6287 ref nil cons 6441 def cons nil cons 6442 def cons nil cons cons 6443 def 1313 ref subst 1301 ref nil 1003 ref 6439 remove cons 6444 def 6442 ref cons nil cons cons 1324 ref subst 1301 ref nil 1003 ref 6441 ref cons 6445 def 6442 ref cons nil cons cons 6446 def 1324 ref subst appThm trans appThm 6447 def trans appThm trans 6448 def appThm trans appThm nil 1116 ref 6373 ref cons 6449 def 6418 ref cons nil cons cons 6438 ref subst 4637 ref nil 6374 ref 6440 ref cons nil cons cons 1313 ref subst 1301 ref nil 6374 ref 6442 remove cons nil cons cons 1313 ref subst 1301 ref 6443 remove 1324 ref subst 6447 remove trans appThm trans appThm trans 6450 def appThm trans appThm trans appThm nil 6414 ref 6415 ref 1006 ref 6401 remove cons nil cons cons 6451 def cons nil cons cons 2877 ref subst 1368 ref nil 6416 remove 6374 ref 1215 ref cons 6452 def cons nil cons cons 6438 ref subst 4637 ref nil 6417 remove 6321 ref cons nil cons cons 1313 ref subst 1301 ref 6448 remove appThm trans appThm trans appThm nil 6449 ref 6452 ref cons nil cons cons 6438 ref subst 4637 ref nil 6374 ref 6321 ref cons nil cons cons 1313 ref subst 1301 ref 6450 remove appThm trans 6453 def appThm trans appThm trans appThm nil 1116 ref 187 ref 738 ref 1285 ref 1285 ref 1285 ref 1285 ref 1285 ref 187 ref 6287 ref appTerm 6287 ref appTerm appTerm appTerm appTerm appTerm 6454 def appTerm 6455 def appTerm 6456 def appTerm 6457 def 738 ref 1285 ref 6455 ref appTerm 6458 def appTerm 6459 def appTerm 6460 def nil cons cons 1003 ref 6456 remove nil cons 6461 def cons 6462 def 1006 ref 738 ref 6454 remove appTerm nil cons cons nil cons 6463 def cons cons nil cons cons 1169 ref subst trans trans appThm nil 6414 ref 1003 ref 6353 ref nil cons 6464 def cons 6465 def 1006 ref 6345 ref nil cons 6466 def cons nil cons cons cons nil cons cons 2877 remove subst 1368 ref nil 1116 ref 6441 remove cons 6364 ref cons nil cons cons 6438 ref subst 4637 ref nil 6445 ref 1006 ref 6373 remove cons nil cons 6467 def cons nil cons cons 1313 ref subst 1301 ref nil 6445 ref 6321 remove cons nil cons cons 1313 ref subst 1301 ref nil 6445 ref 6440 remove cons nil cons cons 1313 ref subst 1301 ref 6446 remove 1313 ref subst appThm trans appThm trans appThm trans appThm trans appThm nil 6449 remove 6364 remove cons nil cons cons 6438 remove subst 4637 ref nil 6374 remove 6467 remove cons nil cons cons 1313 ref subst 1301 ref 6453 remove appThm trans appThm trans appThm trans appThm nil 1116 ref 738 ref 1285 ref 6458 remove appTerm appTerm nil cons cons 1003 ref 6457 remove 6460 remove appTerm nil cons cons 6463 remove cons cons nil cons cons 6045 ref subst trans sym 4701 ref nil 1116 ref 6459 remove nil cons cons 6462 ref 1006 ref 6461 remove cons nil cons cons cons nil cons cons 2078 ref subst 1368 ref nil 6462 remove nil cons nil cons cons 4676 ref subst nil 1003 ref 6455 remove nil cons cons 1215 ref cons nil cons cons 4694 ref subst trans 4637 ref 1301 ref 1301 ref 1301 ref 1301 ref 1301 ref 1301 ref nil 6445 ref nil cons nil cons cons 4676 ref subst appThm appThm appThm appThm appThm appThm 6468 def appThm 6469 def trans appThm 6469 remove appThm nil 1003 ref 738 ref 1285 ref 1285 ref 1285 ref 1285 ref 1285 ref 1285 ref 2196 ref 6287 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm 6470 def appTerm nil cons cons nil cons nil cons cons 4676 ref subst nil 1003 ref 6470 ref nil cons cons 1215 ref cons nil cons cons 4694 ref subst trans trans trans appThm 4637 ref 1301 ref 6468 remove appThm appThm appThm nil 1003 ref 738 ref 1285 ref 6470 remove appTerm appTerm nil cons cons nil cons nil cons cons 4700 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp 162 ref 160 ref 6397 ref nil cons cons 475 ref 6398 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6397 remove appTerm nil cons cons 6396 remove cons nil cons cons 459 ref subst proveHyp nil 1116 ref 6361 remove nil cons cons 6471 def 1006 ref 6379 remove nil cons 6472 def cons nil cons cons nil cons cons 4776 ref subst eqMp eqMp eqMp 162 ref 160 ref 6377 ref nil cons cons 475 ref 6472 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6377 remove appTerm nil cons cons 6375 remove cons nil cons cons 459 ref subst proveHyp nil 6471 remove 1006 ref 4861 ref nil cons 6473 def cons nil cons 6474 def cons nil cons cons 4776 ref subst eqMp eqMp eqMp nil 399 ref 2186 ref 6363 remove appTerm nil cons cons 400 ref 6349 ref 6357 ref appTerm nil cons 6475 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1006 ref 6355 remove nil cons cons 6476 def 3390 ref 6473 ref cons 168 ref 6466 ref cons nil cons cons cons nil cons cons 1003 ref 41 ref 2186 ref 42 ref 77 ref 6244 ref appTerm appTerm 698 ref 3392 ref appTerm 2195 ref 188 ref appTerm 6477 def 1009 ref appTerm appTerm appTerm appTerm appTerm 4349 ref 4867 ref 188 ref appTerm 710 ref appTerm 3392 ref appTerm 6478 def appTerm 1134 ref appTerm appTerm 6479 def absTerm 6480 def 1011 ref appTerm 6481 def betaConv 1006 ref 17 ref 6480 ref appTerm 6482 def absTerm 6483 def 1009 ref appTerm 6484 def betaConv 3390 ref 17 ref 6483 ref appTerm 6485 def absTerm 6486 def 3392 ref appTerm 6487 def betaConv 695 ref 17 ref 6486 ref appTerm 6488 def absTerm 6489 def 710 ref appTerm 6490 def betaConv 168 ref 17 ref 6489 ref appTerm 6491 def absTerm 6492 def 188 ref appTerm 6493 def betaConv nil 17 ref 1003 ref 17 ref 168 ref 17 ref 695 ref 17 ref 1006 ref 17 ref 3390 ref 6479 ref absTerm 6494 def appTerm 6495 def absTerm 6496 def appTerm 6497 def absTerm 6498 def appTerm 6499 def absTerm 6500 def appTerm 6501 def absTerm 6502 def appTerm 6503 def axiom nil 399 ref 6503 remove nil cons 6504 def cons 6505 def 400 ref 17 ref 6492 ref appTerm nil cons 6506 def cons nil cons cons nil cons cons 6507 def 459 ref subst proveHyp 6507 ref 416 ref subst 6507 remove 467 ref subst nil 160 ref 6492 remove nil cons cons 6508 def nil cons nil cons cons 164 ref subst 168 ref nil 150 ref 6491 remove nil cons 6509 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6489 remove nil cons cons 6510 def nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 6488 remove nil cons 6511 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6486 remove nil cons cons 6512 def nil cons nil cons cons 164 ref subst 3390 ref nil 150 ref 6485 remove nil cons 6513 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6483 remove nil cons cons 6514 def nil cons nil cons cons 164 ref subst 1006 ref nil 150 ref 6482 remove nil cons 6515 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6480 remove nil cons cons 6516 def nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 6479 remove nil cons cons nil cons nil cons cons 155 ref subst 6494 ref 3392 ref appTerm 6517 def betaConv 6496 ref 1009 ref appTerm 6518 def betaConv 6498 ref 710 ref appTerm 6519 def betaConv 6500 ref 188 ref appTerm 6520 def betaConv 6502 ref 1011 ref appTerm 6521 def betaConv nil 6505 remove 400 ref 6521 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 6502 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6501 remove nil cons cons 400 ref 6520 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6500 remove nil cons cons 3642 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6499 remove nil cons cons 400 ref 6519 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6498 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6497 remove nil cons cons 400 ref 6518 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6496 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6495 remove nil cons cons 400 ref 6517 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6494 remove nil cons cons 3426 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 435 ref 6504 remove cons 437 ref 6506 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 6506 remove cons 400 ref 6493 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6508 remove 3642 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6509 remove cons 400 ref 6490 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6510 remove 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6511 remove cons 400 ref 6487 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6512 remove 3426 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6513 remove cons 400 ref 6484 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6514 remove 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6515 remove cons 400 ref 6481 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6516 remove 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp nil 399 ref 6475 remove cons 400 ref 698 ref 6357 ref appTerm 6522 def 6345 ref appTerm nil cons cons nil cons 6523 def cons nil cons cons 467 ref subst proveHyp 6347 ref 42 ref 6522 ref 6350 ref appTerm appTerm 6351 remove appTerm absTerm 6524 def 6356 remove 6307 ref appTerm 6525 def appTerm betaConv sym nil 1116 ref 6403 remove cons 6526 def 6476 remove nil cons cons nil cons cons 6045 ref subst sym nil 695 ref 6320 remove cons nil cons nil cons cons 695 ref 129 ref 6157 remove appTerm 6155 ref appTerm 6527 def absTerm 6528 def 710 ref appTerm 6529 def betaConv 1003 ref 17 ref 6528 ref appTerm 6530 def absTerm 6531 def 1011 ref appTerm 6532 def betaConv 603 ref 1003 ref 603 ref 695 ref 6527 remove assume sym 6158 remove assume sym deductAntisym absThm appThm absThm appThm 6165 remove eqMp nil 399 ref 17 ref 6531 ref appTerm nil cons cons 400 ref 6532 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6531 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6530 remove nil cons cons 400 ref 6529 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6528 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp subst nil 150 ref 4835 ref 6305 remove appTerm 6533 def nil cons cons nil cons nil cons cons 155 ref subst 129 ref "_47537" 14 ref var 6534 def 4835 ref 1285 ref 6534 remove varTerm appTerm appTerm absTerm 6535 def 6253 remove appTerm 6536 def appTerm refl 6535 ref 6292 ref appTerm betaConv appThm 439 ref 6536 remove betaConv appThm 6533 remove refl appThm trans 6535 remove refl 6315 remove appThm eqMp 129 ref "_47189" 14 ref var 6537 def 4835 ref 6537 remove varTerm appTerm absTerm 6538 def 188 ref appTerm 6539 def appTerm refl 6538 ref 6258 ref appTerm betaConv appThm 439 ref 6539 remove betaConv appThm 4835 remove 6258 remove appTerm refl appThm trans 6538 remove refl 6276 remove appThm eqMp 4836 remove assume 6540 def eqMp eqMp eqMp trans sym 154 ref eqMp nil 399 ref 4362 ref 6307 ref appTerm nil cons cons 400 ref 4352 ref 6307 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6415 ref 1304 remove cons nil cons cons 6085 ref subst eqMp eqMp nil 399 ref 6522 remove 6525 ref appTerm nil cons cons 400 ref 698 ref 6525 ref appTerm 6345 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 4701 ref nil 6526 ref 6402 ref 1006 ref 6464 remove cons 6541 def nil cons 6542 def cons cons nil cons cons 1169 ref subst appThm 6346 ref appThm sym 4701 ref 6354 ref refl nil 6451 remove nil cons cons 1210 ref subst appThm appThm 6346 ref appThm sym 1003 ref 42 ref 698 ref 6354 ref 6327 remove appTerm 6543 def appTerm 6544 def 1011 ref appTerm appTerm 4352 ref 6345 ref appTerm 6545 def appTerm absTerm 6546 def 6354 ref 6543 ref appTerm 6547 def appTerm betaConv sym 625 ref nil 6541 remove 1003 ref 6543 remove nil cons 6548 def cons nil cons cons nil cons cons 4727 ref subst appThm 698 ref 6547 ref appTerm 6345 ref appTerm 6549 def refl appThm nil 150 ref 6549 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym 4701 ref nil 6399 remove 6465 ref 6542 remove cons cons nil cons cons 2078 ref subst nil 6414 ref 6415 ref 1006 ref 6354 remove 6353 remove appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans 1368 ref 1368 ref nil 6465 remove nil cons nil cons cons 4676 ref subst nil 6445 remove 1215 ref cons nil cons cons 4694 ref subst trans appThm 6307 ref refl 6550 def appThm appThm 6326 ref refl 6551 def appThm trans appThm 6346 ref appThm sym 1003 ref 42 ref 698 ref 187 ref 187 ref 738 ref 6292 remove appTerm 6552 def appTerm 6553 def 6307 remove appTerm 6554 def appTerm 6326 remove appTerm 6555 def appTerm 6556 def 1011 ref appTerm appTerm 6545 remove appTerm absTerm 6557 def 6553 remove 6555 ref appTerm 6558 def appTerm betaConv sym 625 ref nil 1006 ref 6552 remove nil cons 6559 def cons 6560 def 1003 ref 6555 remove nil cons 6561 def cons nil cons cons nil cons cons 4727 ref subst appThm 698 ref 6558 ref appTerm 6345 ref appTerm 6562 def refl appThm nil 150 ref 6562 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym 4701 ref nil 6414 remove 1003 ref 6554 remove nil cons cons 6560 remove nil cons 6563 def cons cons nil cons cons 2078 ref subst 1368 ref nil 6526 remove 1003 ref 6559 remove cons 6564 def 6563 remove cons cons nil cons cons 2078 ref subst 1368 ref nil 6564 remove nil cons nil cons cons 4676 ref subst nil 6444 remove 1215 ref cons nil cons cons 4694 ref subst trans appThm 6550 remove appThm nil 6415 remove nil cons nil cons cons 4676 ref subst nil 6418 remove nil cons cons 4694 ref subst trans trans trans appThm 6551 remove appThm nil 6402 remove nil cons nil cons cons 4676 remove subst nil 6452 remove nil cons cons 4694 remove subst trans trans trans appThm 6346 remove appThm nil 1003 ref 6466 ref cons nil cons nil cons cons 4700 ref subst trans sym 154 ref eqMp eqMp eqMp 162 ref 160 ref 6557 ref nil cons cons 475 ref 6558 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6557 remove appTerm nil cons cons 400 ref 6556 remove 6345 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 6466 remove cons 6565 def 1006 ref 6561 remove cons nil cons cons nil cons cons 4776 ref subst eqMp eqMp eqMp eqMp 162 ref 160 ref 6546 ref nil cons cons 475 ref 6547 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6546 remove appTerm nil cons cons 400 ref 6544 remove 6345 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6565 ref 1006 ref 6548 remove cons nil cons cons nil cons cons 4776 ref subst eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 6524 ref nil cons cons 475 ref 6525 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6524 remove appTerm nil cons cons 6523 remove cons nil cons cons 459 ref subst proveHyp nil 6565 ref 1006 ref 6357 remove nil cons 6566 def cons nil cons cons nil cons cons 4776 ref subst eqMp eqMp eqMp 162 ref 160 ref 6352 ref nil cons cons 475 ref 6566 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 6352 remove appTerm nil cons cons 400 ref 6349 remove 6345 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 6565 remove 1006 ref 6348 remove nil cons cons nil cons cons nil cons cons 4602 ref subst eqMp eqMp eqMp eqMp nil 435 ref 6333 remove cons 437 ref 6335 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 6328 remove cons 437 ref 6331 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 6316 remove cons 437 ref 6317 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 6294 remove cons 437 ref 6283 ref cons nil cons 6567 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 6290 remove cons 6567 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 6280 ref 4832 ref appTerm appTerm 6274 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 6281 ref appTerm 6274 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6280 remove nil cons cons 6567 ref cons nil cons cons 688 ref subst eqMp nil 399 ref 6279 ref nil cons 6568 def cons 6284 remove cons nil cons cons 6569 def 416 ref subst 6569 remove 467 ref subst 6303 remove "_47359" 14 ref var 6570 def 41 ref 5975 ref 1285 ref 6570 remove varTerm appTerm 6571 def appTerm appTerm 41 ref 4350 ref 187 ref 738 ref 6571 ref appTerm appTerm 738 ref 187 ref 6571 remove appTerm 6572 def 192 ref appTerm appTerm appTerm 6573 def appTerm appTerm 41 ref 6120 ref 6573 remove appTerm appTerm 698 ref 2187 ref 4867 ref 738 ref 6572 remove 207 ref appTerm 6574 def appTerm appTerm 710 ref appTerm 4861 ref appTerm appTerm appTerm 6574 remove appTerm appTerm appTerm appTerm absTerm 191 ref appTerm betaConv appThm 6304 remove 41 ref 5975 ref 2111 ref appTerm appTerm 41 ref 4350 ref 187 ref 738 ref 2111 ref appTerm appTerm 738 ref 187 ref 2111 ref appTerm 6575 def 192 ref appTerm appTerm appTerm 6576 def appTerm appTerm 41 ref 6120 ref 6576 remove appTerm appTerm 698 ref 2187 ref 4867 ref 738 ref 6575 ref 207 ref appTerm 6577 def appTerm appTerm 710 ref appTerm 4861 ref appTerm appTerm appTerm 6577 remove appTerm appTerm appTerm appTerm refl appThm trans 6314 remove 6279 remove assume appThm eqMp sym 165 ref 1131 ref 1229 ref 1235 ref 5274 ref refl 6578 def 4387 ref appThm nil 1003 ref 2115 ref cons 6579 def 1006 ref 5266 ref nil cons 6580 def cons nil cons 6581 def cons nil cons cons 1324 ref subst 1301 ref nil 1257 ref 6581 ref cons nil cons cons 1324 ref subst appThm trans trans appThm nil 1003 ref 1285 ref 5274 ref 191 ref appTerm 6582 def appTerm nil cons cons 1233 ref cons nil cons cons 1324 ref subst 1301 ref nil 1003 ref 6582 ref nil cons cons 1233 ref cons nil cons cons 1324 ref subst appThm trans trans appThm nil 1003 ref 1285 ref 701 ref 6582 remove appTerm 6583 def appTerm nil cons cons 1227 ref cons nil cons cons 1324 ref subst 1301 ref nil 1003 ref 6583 ref nil cons cons 1227 ref cons nil cons cons 1324 ref subst appThm trans trans appThm 1301 ref 1266 ref appThm 6584 def appThm nil 1257 ref 1006 ref 1285 ref 700 ref 6583 remove appTerm 6585 def appTerm nil cons cons nil cons cons nil cons cons 1361 ref subst nil 1003 ref 6585 remove nil cons cons nil cons nil cons cons 4399 ref subst trans trans appThm 165 ref 6319 ref 1368 ref 6180 ref 4387 ref appThm 6586 def 6584 remove appThm appThm 6586 ref 6575 ref refl 6587 def 2114 ref appThm nil 1257 ref 1006 ref 2115 remove cons nil cons 6588 def cons nil cons cons 6589 def 1324 ref subst 6590 def trans appThm appThm 6591 def appThm appThm 165 ref 6324 ref 6591 remove appThm appThm 4701 ref 6337 ref 6338 ref 6586 remove 6587 remove 4387 remove appThm nil 6579 remove 6588 remove cons nil cons cons 1324 ref subst 1301 ref 6590 remove appThm trans trans 6592 def appThm appThm 6340 ref appThm 6341 ref appThm appThm appThm 6592 remove appThm appThm appThm appThm nil 150 ref 41 ref 4350 ref 187 ref 737 ref 4389 remove appTerm 6593 def 2111 ref appTerm appTerm 6593 ref 1285 ref 6575 remove 191 ref appTerm appTerm 6594 def appTerm appTerm 6595 def appTerm appTerm 41 ref 6120 ref 6595 remove appTerm appTerm 698 ref 2187 ref 4867 ref 6593 ref 1285 ref 6594 remove appTerm 6596 def appTerm appTerm 710 ref appTerm 4861 ref appTerm appTerm appTerm 6596 remove appTerm appTerm appTerm nil cons cons nil cons nil cons cons 1865 ref subst trans sym 154 ref eqMp eqMp eqMp nil 435 ref 6568 remove cons 6597 def 6567 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 6597 remove 437 ref 6281 remove nil cons cons 1553 ref 6283 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp eqMp nil 435 ref 6282 remove cons 6567 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 435 ref 6260 remove cons 437 ref 6249 ref cons nil cons 6598 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 6256 remove cons 6598 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 6245 ref 4832 ref appTerm appTerm 6248 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 6246 ref appTerm 6248 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6245 remove nil cons cons 6598 ref cons nil cons cons 688 ref subst eqMp nil 399 ref 6244 ref nil cons 6599 def cons 6250 remove cons nil cons cons 6600 def 416 ref subst 6600 remove 467 ref subst 6269 remove "_47011" 14 ref var 6601 def 41 ref 5975 ref 6601 remove varTerm 6602 def appTerm appTerm 41 ref 4350 ref 187 ref 738 ref 6602 ref appTerm appTerm 738 ref 187 ref 6602 remove appTerm 6603 def 192 ref appTerm appTerm appTerm 6604 def appTerm appTerm 41 ref 6120 ref 6604 remove appTerm appTerm 698 ref 2187 ref 4867 ref 738 ref 6603 remove 207 ref appTerm 6605 def appTerm appTerm 710 ref appTerm 4861 ref appTerm appTerm appTerm 6605 remove appTerm appTerm appTerm appTerm absTerm 191 ref appTerm betaConv appThm 6270 remove 41 ref 5975 ref 191 ref appTerm appTerm 41 ref 4350 ref 187 ref 738 ref 191 ref appTerm 6606 def appTerm 738 ref 2713 ref appTerm appTerm 6607 def appTerm appTerm 41 ref 6120 ref 6607 remove appTerm appTerm 698 ref 2187 ref 4867 ref 738 ref 1259 ref 207 ref appTerm 6608 def appTerm appTerm 710 ref appTerm 4861 ref appTerm appTerm appTerm 6608 remove appTerm appTerm appTerm appTerm refl appThm trans 6275 remove 6244 ref assume appThm eqMp sym 165 ref nil 1003 ref 5276 remove nil cons 6609 def cons 1227 ref cons 6610 def nil cons cons 1003 ref 129 ref 1178 ref 191 ref appTerm appTerm 6365 remove 2184 ref appTerm appTerm absTerm 6611 def 1011 ref appTerm 6612 def betaConv 1006 ref 17 ref 6611 ref appTerm 6613 def absTerm 6614 def 1009 ref appTerm 6615 def betaConv nil 17 ref 6614 ref appTerm 6616 def axiom nil 399 ref 6616 remove nil cons cons 400 ref 6615 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6614 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6613 remove nil cons cons 400 ref 6612 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6611 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 6617 def subst 42 ref 180 ref 61 ref appTerm 191 ref appTerm 6618 def appTerm 6619 def refl 6620 def nil 1003 ref 5275 ref nil cons 6621 def cons 6622 def 1233 ref cons 6623 def nil cons cons 6617 ref subst 42 ref 180 ref 64 ref appTerm 191 ref appTerm 6624 def appTerm 6625 def refl 6626 def nil 1171 ref 6581 ref cons 6627 def nil cons cons 6617 ref subst 42 ref 180 ref 5266 ref appTerm 191 ref appTerm 6628 def appTerm refl 4400 remove appThm nil 150 ref 6628 remove nil cons cons nil cons nil cons cons 150 ref 129 ref 1101 remove 1407 ref appTerm appTerm 1407 ref appTerm absTerm 6629 def 151 ref appTerm 6630 def betaConv nil 607 ref 6629 ref appTerm 6631 def axiom nil 399 ref 6631 remove nil cons cons 400 ref 6630 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 6629 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 6632 def subst trans trans appThm nil 150 ref 6624 remove nil cons cons nil cons nil cons cons 6632 ref subst 6633 def trans trans appThm nil 150 ref 6618 remove nil cons cons nil cons nil cons cons 6632 ref subst 6634 def trans trans appThm 165 ref 6319 remove 1368 ref 6181 ref 1266 ref appThm appThm 6181 ref 2713 ref refl appThm appThm 6635 def appThm appThm 165 ref 6324 remove 6635 remove appThm appThm 4701 ref 6337 remove 6338 remove 6181 ref 1368 ref 1266 ref appThm 6636 def 4390 remove appThm 6637 def appThm appThm 6340 ref appThm 6341 remove appThm appThm appThm 6637 remove appThm appThm appThm appThm nil 150 ref 41 ref 4350 remove 187 ref 6183 ref 191 ref appTerm appTerm 6183 ref 2713 ref appTerm appTerm 6638 def appTerm appTerm 41 ref 6120 remove 6638 remove appTerm appTerm 698 ref 2187 remove 4867 ref 6183 ref 1259 ref 6182 remove appTerm 6639 def appTerm appTerm 710 ref appTerm 4861 ref appTerm appTerm appTerm 6639 remove appTerm appTerm appTerm nil cons cons nil cons nil cons cons 1865 ref subst trans sym 154 ref eqMp eqMp eqMp nil 435 ref 6599 ref cons 6640 def 6598 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 6640 remove 437 ref 6246 remove nil cons cons 1553 ref 6249 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp eqMp nil 435 ref 6247 remove cons 6598 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 6202 ref cons 437 ref 6205 ref cons nil cons cons nil cons cons 6641 def 451 ref subst deductAntisym eqMp eqMp nil 399 ref 4859 remove 6204 remove appTerm nil cons cons 6196 remove cons nil cons cons 459 ref subst proveHyp nil 1712 ref 6205 remove cons 1722 ref 6202 remove cons nil cons cons nil cons cons nil 1729 remove 400 ref 41 ref 42 ref 1725 ref appTerm 6642 def 1849 ref appTerm appTerm 6642 remove 1730 ref appTerm appTerm nil cons 6643 def cons nil cons 6644 def cons nil cons cons 6645 def 416 ref subst 6645 remove 467 ref subst 129 ref "_47001" 2 ref var 6646 def 41 ref 42 ref 6646 remove varTerm 6647 def appTerm 6648 def 41 ref 6647 remove appTerm 1730 ref appTerm appTerm appTerm 6648 remove 1730 ref appTerm appTerm absTerm 6649 def 1725 ref appTerm 6650 def appTerm refl 6651 def 6649 ref 1407 ref appTerm betaConv appThm 439 ref 6650 remove betaConv appThm 6652 def 41 ref 1498 ref 1860 ref appTerm appTerm 1498 ref 1730 ref appTerm appTerm refl appThm trans 6649 remove refl 6653 def 1745 remove appThm eqMp sym 165 ref nil 150 ref 1860 remove nil cons cons nil cons nil cons cons 1506 ref subst appThm 1747 ref 1506 ref subst appThm 1797 ref 1865 ref subst 6654 def trans sym 154 ref eqMp eqMp eqMp nil 1753 remove 437 ref 6643 ref cons nil cons 6655 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 1757 remove 6644 remove cons nil cons cons 6656 def 416 ref subst 6656 remove 467 ref subst 6651 remove "_46999" 2 ref var 6657 def 41 ref 42 ref 6657 remove varTerm 6658 def appTerm 6659 def 41 ref 6658 remove appTerm 1730 ref appTerm appTerm appTerm 6659 remove 1730 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 6652 remove 41 ref 629 ref 1871 ref appTerm appTerm 629 ref 1730 ref appTerm appTerm refl appThm trans 6653 remove 1762 remove appThm eqMp sym 165 ref nil 150 ref 1871 remove nil cons cons nil cons nil cons cons 633 ref subst 1872 remove trans appThm 1747 ref 633 ref subst appThm 1747 remove nil 150 ref 1406 remove 151 ref appTerm 6660 def nil cons cons nil cons nil cons cons 155 ref subst 150 ref 6660 remove absTerm 6661 def 151 ref appTerm 6662 def betaConv nil 607 ref 6661 ref appTerm 6663 def axiom nil 399 ref 6663 remove nil cons cons 400 ref 6662 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 6661 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp 6664 def subst trans sym 154 ref eqMp eqMp eqMp nil 1768 ref 6655 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1772 remove nil 1768 remove 1773 remove 1553 ref 6643 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp 6665 def subst eqMp eqMp nil 435 ref 6192 ref cons 437 ref 6195 ref cons nil cons cons nil cons cons 6666 def 451 ref subst 6667 def deductAntisym eqMp eqMp nil 399 ref 2191 remove 6194 remove appTerm nil cons cons 4921 remove cons nil cons cons 459 ref subst proveHyp nil 1712 ref 6195 remove cons 1722 ref 6192 remove cons nil cons cons nil cons cons 6665 remove subst eqMp proveHyp proveHyp eqMp nil 435 ref 5977 remove cons 6668 def 437 ref 4920 ref cons nil cons 6669 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 5961 remove cons 6670 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 5957 remove cons 6671 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5401 ref 589 ref appTerm appTerm 6672 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5402 remove appTerm 6673 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5401 remove nil cons cons 6674 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5949 remove cons 6675 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5403 ref 589 ref appTerm appTerm 6676 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5404 remove appTerm 6677 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5403 remove nil cons cons 6678 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5941 remove cons 6679 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5405 ref 589 ref appTerm appTerm 6680 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5406 remove appTerm 6681 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5405 remove nil cons cons 6682 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5933 remove cons 6683 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5407 ref 653 ref appTerm appTerm 6684 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5408 remove appTerm 6685 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5407 remove nil cons cons 6686 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5925 remove cons 6687 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5409 ref 653 ref appTerm appTerm 6688 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5410 remove appTerm 6689 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5409 remove nil cons cons 6690 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5917 remove cons 6691 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5411 ref 653 ref appTerm appTerm 6692 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5412 remove appTerm 6693 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5411 remove nil cons cons 6694 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5909 remove cons 6695 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5413 ref 653 ref appTerm appTerm 6696 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5414 remove appTerm 6697 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5413 remove nil cons cons 6698 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5901 remove cons 6699 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5415 ref 589 ref appTerm appTerm 6700 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5416 remove appTerm 6701 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5415 remove nil cons cons 6702 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5893 remove cons 6703 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5417 ref 589 ref appTerm appTerm 6704 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5418 remove appTerm 6705 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5417 remove nil cons cons 6706 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5885 remove cons 6707 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5419 ref 653 ref appTerm appTerm 6708 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5420 remove appTerm 6709 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5419 remove nil cons cons 6710 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5877 remove cons 6711 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5421 ref 653 ref appTerm appTerm 6712 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5422 remove appTerm 6713 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5421 remove nil cons cons 6714 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5869 remove cons 6715 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5423 ref 589 ref appTerm appTerm 6716 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5424 remove appTerm 6717 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5423 remove nil cons cons 6718 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5861 remove cons 6719 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5425 ref 653 ref appTerm appTerm 6720 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5426 remove appTerm 6721 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5425 remove nil cons cons 6722 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5853 remove cons 6723 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5427 ref 653 ref appTerm appTerm 6724 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5428 remove appTerm 6725 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5427 remove nil cons cons 6726 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5845 remove cons 6727 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5429 ref 589 ref appTerm appTerm 6728 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5430 remove appTerm 6729 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5429 remove nil cons cons 6730 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5837 remove cons 6731 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5431 ref 589 ref appTerm appTerm 6732 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5432 remove appTerm 6733 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5431 remove nil cons cons 6734 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5829 remove cons 6735 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5433 ref 589 ref appTerm appTerm 6736 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5434 remove appTerm 6737 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5433 remove nil cons cons 6738 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5821 remove cons 6739 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5435 ref 653 ref appTerm appTerm 6740 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5436 remove appTerm 6741 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5435 remove nil cons cons 6742 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5813 remove cons 6743 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5437 ref 589 ref appTerm appTerm 6744 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5438 remove appTerm 6745 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5437 remove nil cons cons 6746 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5805 remove cons 6747 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5439 ref 589 ref appTerm appTerm 6748 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5440 remove appTerm 6749 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5439 remove nil cons cons 6750 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5797 remove cons 6751 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5441 ref 589 ref appTerm appTerm 6752 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5442 remove appTerm 6753 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5441 remove nil cons cons 6754 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5789 remove cons 6755 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5443 ref 653 ref appTerm appTerm 6756 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5444 remove appTerm 6757 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5443 remove nil cons cons 6758 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5781 remove cons 6759 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5445 ref 653 ref appTerm appTerm 6760 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5446 remove appTerm 6761 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5445 remove nil cons cons 6762 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5773 remove cons 6763 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5447 ref 653 ref appTerm appTerm 6764 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5448 remove appTerm 6765 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5447 remove nil cons cons 6766 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5765 remove cons 6767 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5449 ref 589 ref appTerm appTerm 6768 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5450 remove appTerm 6769 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5449 remove nil cons cons 6770 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5757 remove cons 6771 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5451 ref 653 ref appTerm appTerm 6772 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5452 remove appTerm 6773 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5451 remove nil cons cons 6774 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5749 remove cons 6775 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5453 ref 653 ref appTerm appTerm 6776 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5454 remove appTerm 6777 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5453 remove nil cons cons 6778 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5741 remove cons 6779 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5455 ref 589 ref appTerm appTerm 6780 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5456 remove appTerm 6781 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5455 remove nil cons cons 6782 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5733 remove cons 6783 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5457 ref 653 ref appTerm appTerm 6784 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5458 remove appTerm 6785 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5457 remove nil cons cons 6786 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5725 remove cons 6787 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5459 ref 653 ref appTerm appTerm 6788 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5460 remove appTerm 6789 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5459 remove nil cons cons 6790 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5717 remove cons 6791 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5461 ref 589 ref appTerm appTerm 6792 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5462 remove appTerm 6793 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5461 remove nil cons cons 6794 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5709 remove cons 6795 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5463 ref 653 ref appTerm appTerm 6796 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5464 remove appTerm 6797 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5463 remove nil cons cons 6798 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5701 remove cons 6799 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5465 ref 589 ref appTerm appTerm 6800 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5466 remove appTerm 6801 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5465 remove nil cons cons 6802 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5693 remove cons 6803 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5467 ref 653 ref appTerm appTerm 6804 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5468 remove appTerm 6805 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5467 remove nil cons cons 6806 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5685 remove cons 6807 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5469 ref 589 ref appTerm appTerm 6808 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5470 remove appTerm 6809 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5469 remove nil cons cons 6810 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5677 remove cons 6811 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5471 ref 653 ref appTerm appTerm 6812 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5472 remove appTerm 6813 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5471 remove nil cons cons 6814 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5669 remove cons 6815 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5473 ref 653 ref appTerm appTerm 6816 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5474 remove appTerm 6817 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5473 remove nil cons cons 6818 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5661 remove cons 6819 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5475 ref 589 ref appTerm appTerm 6820 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5476 remove appTerm 6821 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5475 remove nil cons cons 6822 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5653 remove cons 6823 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5477 ref 589 ref appTerm appTerm 6824 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5478 remove appTerm 6825 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5477 remove nil cons cons 6826 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5645 remove cons 6827 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5479 ref 653 ref appTerm appTerm 6828 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5480 remove appTerm 6829 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5479 remove nil cons cons 6830 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5637 remove cons 6831 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5481 ref 653 ref appTerm appTerm 6832 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5482 remove appTerm 6833 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5481 remove nil cons cons 6834 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5629 remove cons 6835 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5483 ref 653 ref appTerm appTerm 6836 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5484 remove appTerm 6837 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5483 remove nil cons cons 6838 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5621 remove cons 6839 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5485 ref 653 ref appTerm appTerm 6840 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5486 remove appTerm 6841 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5485 remove nil cons cons 6842 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5613 remove cons 6843 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5487 ref 653 ref appTerm appTerm 6844 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5488 remove appTerm 6845 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5487 remove nil cons cons 6846 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5605 remove cons 6847 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5489 ref 653 ref appTerm appTerm 6848 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5490 remove appTerm 6849 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5489 remove nil cons cons 6850 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5597 remove cons 6851 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5491 ref 589 ref appTerm appTerm 6852 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5492 remove appTerm 6853 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5491 remove nil cons cons 6854 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5589 remove cons 6855 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5493 ref 653 ref appTerm appTerm 6856 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5494 remove appTerm 6857 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5493 remove nil cons cons 6858 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5581 remove cons 6859 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5495 ref 653 ref appTerm appTerm 6860 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5496 remove appTerm 6861 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5495 remove nil cons cons 6862 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5573 remove cons 6863 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5497 ref 589 ref appTerm appTerm 6864 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5498 remove appTerm 6865 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5497 remove nil cons cons 6866 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5565 remove cons 6867 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5499 ref 653 ref appTerm appTerm 6868 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5500 remove appTerm 6869 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5499 remove nil cons cons 6870 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5557 remove cons 6871 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5501 ref 653 ref appTerm appTerm 6872 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5502 remove appTerm 6873 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5501 remove nil cons cons 6874 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5549 remove cons 6875 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5503 ref 589 ref appTerm appTerm 6876 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5504 remove appTerm 6877 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5503 remove nil cons cons 6878 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5541 remove cons 6879 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5505 ref 653 ref appTerm appTerm 6880 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5506 remove appTerm 6881 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5505 remove nil cons cons 6882 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5533 remove cons 6883 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5507 ref 653 ref appTerm appTerm 6884 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5508 remove appTerm 6885 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5507 remove nil cons cons 6886 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5525 remove cons 6887 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 5509 ref 653 ref appTerm appTerm 6888 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5510 remove appTerm 6889 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 5509 remove nil cons cons 6890 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5517 remove cons 6891 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 5511 ref 589 ref appTerm appTerm 6892 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5512 remove appTerm 6893 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 5511 remove nil cons cons 6894 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 5270 remove cons 6895 def 6669 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 5219 ref 4832 ref appTerm appTerm 6896 def 4875 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 5220 remove appTerm 6897 def 4875 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 5219 remove nil cons cons 6898 def 6669 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 4919 remove cons 6669 remove cons nil cons cons 451 ref subst deductAntisym eqMp 6899 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 6900 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 17 ref 4915 remove appTerm thm nil 160 ref 1003 ref 17 ref 168 ref 17 ref "s" 14 ref var 6901 def 17 ref 695 ref 17 ref 475 ref 17 ref 1878 ref 34 ref 6 ref 11 ref 12 ref 11 ref 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 697 ref 2186 ref 4837 ref 42 ref 180 ref 2195 ref 4868 ref appTerm 6902 def 6901 ref varTerm 6903 def appTerm 6904 def appTerm 6905 def 187 ref 2195 ref 710 ref appTerm 6906 def 1011 ref appTerm 6907 def appTerm 192 ref appTerm 6908 def appTerm 6909 def appTerm 6910 def 42 ref 17 ref 707 ref 41 ref 709 ref 703 ref appTerm 6911 def appTerm 6912 def 719 ref appTerm 6913 def absTerm 6914 def appTerm 6915 def appTerm 6916 def 2204 ref 4850 ref 42 ref 17 ref 707 ref 41 ref 42 ref 698 ref 2087 ref appTerm 6917 def 708 ref appTerm 6918 def appTerm 709 ref 699 ref 700 ref 193 ref appTerm 6919 def appTerm 6920 def appTerm 6921 def appTerm 6922 def appTerm 6923 def 180 ref 187 ref 726 ref 728 ref 62 ref appTerm 6924 def 714 ref appTerm appTerm appTerm 2196 ref 726 ref 728 ref 63 ref appTerm 6925 def 714 ref appTerm appTerm appTerm appTerm appTerm 710 ref appTerm appTerm 6926 def absTerm 6927 def appTerm 6928 def appTerm 6929 def 42 ref 17 ref 707 ref 41 ref 42 ref 698 ref 699 ref 5027 ref appTerm 6930 def appTerm 6931 def 708 ref appTerm 6932 def appTerm 709 ref 704 ref appTerm 6933 def appTerm 6934 def appTerm 6935 def 180 ref 187 ref 726 ref 728 ref 65 ref appTerm 6936 def 714 ref appTerm appTerm appTerm 2196 ref 726 ref 728 ref 66 ref appTerm 6937 def 714 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 6938 def absTerm 6939 def appTerm 6940 def appTerm 6941 def 4851 ref appTerm 6942 def appTerm 6943 def appTerm 6944 def appTerm 6945 def appTerm 6946 def appTerm 6947 def appTerm 6948 def appTerm 6949 def appTerm 6950 def appTerm 180 ref 187 ref 726 ref 728 ref 74 ref appTerm 6951 def 713 ref 751 ref appTerm 6952 def appTerm appTerm appTerm 6953 def 2196 ref 726 ref 728 ref 75 ref appTerm 6954 def 6952 ref appTerm appTerm 6955 def appTerm appTerm appTerm 6956 def 4870 ref appTerm 6957 def appTerm 6958 def absTerm 6959 def appTerm 6960 def absTerm 6961 def appTerm 6962 def absTerm 6963 def appTerm 6964 def absTerm 6965 def appTerm 6966 def absTerm 6967 def appTerm 6968 def absTerm 6969 def appTerm 6970 def absTerm 6971 def appTerm 6972 def absTerm 6973 def appTerm 6974 def absTerm 6975 def appTerm 6976 def absTerm 6977 def appTerm 6978 def absTerm 6979 def appTerm 6980 def absTerm 6981 def appTerm 6982 def absTerm 6983 def appTerm 6984 def absTerm 6985 def appTerm 6986 def absTerm 6987 def appTerm 6988 def absTerm 6989 def appTerm 6990 def absTerm 6991 def appTerm 6992 def absTerm 6993 def appTerm 6994 def absTerm 6995 def appTerm 6996 def absTerm 6997 def appTerm 6998 def absTerm 6999 def nil cons cons 7000 def nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 6998 remove nil cons 7001 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6997 ref nil cons cons 7002 def nil cons nil cons cons 164 ref subst 168 ref nil 150 ref 6996 remove nil cons 7003 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6995 ref nil cons cons 7004 def nil cons nil cons cons 164 ref subst 6901 ref nil 150 ref 6994 remove nil cons 7005 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6993 ref nil cons cons 7006 def nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 6992 remove nil cons 7007 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6991 ref nil cons cons 7008 def nil cons nil cons cons 164 ref subst 475 ref nil 150 ref 6990 remove nil cons 7009 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6989 ref nil cons cons 7010 def nil cons nil cons cons 164 ref subst 1878 ref nil 150 ref 6988 remove nil cons 7011 def cons nil cons nil cons cons 155 ref subst nil 5 ref 6987 ref nil cons cons 7012 def nil cons nil cons cons 149 ref subst 6 ref nil 150 ref 6986 remove nil cons 7013 def cons nil cons nil cons cons 155 ref subst nil 156 ref 6985 ref nil cons cons 7014 def nil cons nil cons cons 159 ref subst 12 ref nil 150 ref 6984 remove nil cons 7015 def cons nil cons nil cons cons 155 ref subst nil 156 ref 6983 ref nil cons cons 7016 def nil cons nil cons cons 159 ref subst 13 ref nil 150 ref 6982 remove nil cons 7017 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6981 ref nil cons cons 7018 def nil cons nil cons cons 164 ref subst 18 ref nil 150 ref 6980 remove nil cons 7019 def cons nil cons nil cons cons 155 ref subst nil 156 ref 6979 ref nil cons cons 7020 def nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 6978 remove nil cons 7021 def cons nil cons nil cons cons 155 ref subst nil 156 ref 6977 ref nil cons cons 7022 def nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 6976 remove nil cons 7023 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6975 ref nil cons cons 7024 def nil cons nil cons cons 164 ref subst 21 ref nil 150 ref 6974 remove nil cons 7025 def cons nil cons nil cons cons 155 ref subst nil 156 ref 6973 ref nil cons cons 7026 def nil cons nil cons cons 159 ref subst 22 ref nil 150 ref 6972 remove nil cons 7027 def cons nil cons nil cons cons 155 ref subst nil 156 ref 6971 ref nil cons cons 7028 def nil cons nil cons cons 159 ref subst 23 ref nil 150 ref 6970 remove nil cons 7029 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6969 ref nil cons cons 7030 def nil cons nil cons cons 164 ref subst 24 ref nil 150 ref 6968 remove nil cons 7031 def cons nil cons nil cons cons 155 ref subst nil 156 ref 6967 ref nil cons cons 7032 def nil cons nil cons cons 159 ref subst 25 ref nil 150 ref 6966 remove nil cons 7033 def cons nil cons nil cons cons 155 ref subst nil 156 ref 6965 ref nil cons cons 7034 def nil cons nil cons cons 159 ref subst 26 ref nil 150 ref 6964 remove nil cons 7035 def cons nil cons nil cons cons 155 ref subst nil 156 ref 6963 ref nil cons cons 7036 def nil cons nil cons cons 159 ref subst 36 ref nil 150 ref 6962 remove nil cons 7037 def cons nil cons nil cons cons 155 ref subst nil 156 ref 6961 ref nil cons cons 7038 def nil cons nil cons cons 159 ref subst 37 ref nil 150 ref 6960 remove nil cons 7039 def cons nil cons nil cons cons 155 ref subst nil 160 ref 6959 ref nil cons cons 7040 def nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 6958 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 6950 ref nil cons 7041 def cons 7042 def 400 ref 6957 ref nil cons 7043 def cons nil cons 7044 def cons nil cons cons 7045 def 416 ref subst 7045 ref 467 ref subst nil 817 ref 437 ref 6949 remove nil cons cons nil cons cons nil cons cons 7046 def 451 ref subst 7046 remove 515 ref subst nil 2515 ref 437 ref 6948 remove nil cons cons nil cons cons nil cons cons 7047 def 451 ref subst 7047 remove 515 ref subst nil 4926 ref 437 ref 6947 remove nil cons cons nil cons cons nil cons cons 7048 def 451 ref subst 7048 remove 515 ref subst nil 435 ref 6909 ref nil cons 7049 def cons 7050 def 437 ref 6946 remove nil cons cons nil cons cons nil cons cons 7051 def 451 ref subst 7051 remove 515 ref subst nil 435 ref 6915 remove nil cons 7052 def cons 437 ref 6945 remove nil cons cons nil cons cons nil cons cons 7053 def 451 ref subst 7053 remove 515 ref subst nil 2518 ref 437 ref 6944 remove nil cons cons nil cons cons nil cons cons 7054 def 451 ref subst 7054 remove 515 ref subst nil 4930 ref 437 ref 6943 remove nil cons cons nil cons cons nil cons cons 7055 def 451 ref subst 7055 remove 515 ref subst nil 435 ref 6928 remove nil cons 7056 def cons 7057 def 437 ref 6942 remove nil cons cons nil cons cons nil cons cons 7058 def 451 ref subst 7058 remove 515 ref subst nil 435 ref 6940 remove nil cons 7059 def cons 7060 def 4932 remove cons nil cons cons 7061 def 451 ref subst 7061 remove 515 ref subst 6899 remove nil 399 ref 4918 remove cons 7044 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 625 ref 1131 ref 696 remove assume 7062 def appThm 2712 ref appThm nil 3642 ref nil cons cons 1281 ref subst trans appThm 7063 def 6358 ref 625 ref nil 150 ref 4925 remove cons nil cons nil cons cons 155 ref subst 6540 remove eqMp appThm 7064 def 625 ref 1131 ref 4150 remove appThm 1995 ref appThm 1281 ref trans appThm 7065 def 625 ref 603 ref 707 ref nil 150 ref 4847 remove nil cons cons nil cons nil cons cons 155 ref subst 4848 remove 708 ref appTerm 7066 def betaConv nil 6110 remove 400 ref 7066 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 6111 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 7067 def eqMp absThm appThm 1099 ref trans appThm 7068 def nil 150 ref 4931 remove cons nil cons nil cons cons 155 ref subst 4851 remove assume eqMp appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 5264 ref appThm nil 150 ref 4920 ref cons nil cons nil cons cons 614 ref subst 7069 def trans appThm 6957 ref refl 7070 def appThm sym nil 399 ref 4920 ref cons 7071 def 7044 ref cons nil cons cons 7072 def 416 ref subst 7072 remove 467 ref subst 6667 remove 6666 remove 515 ref subst 7073 def 6641 remove 515 ref subst 7074 def nil 435 ref 6228 remove cons 437 ref 6229 ref cons nil cons 7075 def cons nil cons cons 515 ref subst 7076 def nil 4934 remove 7044 ref cons nil cons cons 459 ref subst 5263 remove 7070 ref appThm sym nil 160 ref 5265 ref 5268 remove 6957 ref appTerm 7077 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 5265 remove nil 150 ref 7077 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5271 remove 7044 ref cons nil cons cons 7078 def 416 ref subst 7078 remove 467 ref subst 5273 remove nil 5513 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4935 ref 5515 remove 6957 ref appTerm 7079 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4935 remove nil 150 ref 7079 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5518 remove 7044 ref cons nil cons cons 7080 def 416 ref subst 7080 remove 467 ref subst 5520 remove nil 5521 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 173 ref 5523 remove 6957 ref appTerm 7081 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 173 ref nil 150 ref 7081 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5526 remove 7044 ref cons nil cons cons 7082 def 416 ref subst 7082 remove 467 ref subst 5528 remove nil 5529 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 174 ref 5531 remove 6957 ref appTerm 7083 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 174 ref nil 150 ref 7083 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5534 remove 7044 ref cons nil cons cons 7084 def 416 ref subst 7084 remove 467 ref subst 5536 remove nil 5537 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4936 ref 5539 remove 6957 ref appTerm 7085 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4936 remove nil 150 ref 7085 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5542 remove 7044 ref cons nil cons cons 7086 def 416 ref subst 7086 remove 467 ref subst 5544 remove nil 5545 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4937 ref 5547 remove 6957 ref appTerm 7087 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4937 remove nil 150 ref 7087 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5550 remove 7044 ref cons nil cons cons 7088 def 416 ref subst 7088 remove 467 ref subst 5552 remove nil 5553 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4938 ref 5555 remove 6957 ref appTerm 7089 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4938 ref nil 150 ref 7089 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5558 remove 7044 ref cons nil cons cons 7090 def 416 ref subst 7090 remove 467 ref subst 5560 remove nil 5561 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4939 ref 5563 remove 6957 ref appTerm 7091 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4939 ref nil 150 ref 7091 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5566 remove 7044 ref cons nil cons cons 7092 def 416 ref subst 7092 remove 467 ref subst 5568 remove nil 5569 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4940 ref 5571 remove 6957 ref appTerm 7093 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4940 remove nil 150 ref 7093 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5574 remove 7044 ref cons nil cons cons 7094 def 416 ref subst 7094 remove 467 ref subst 5576 remove nil 5577 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4941 ref 5579 remove 6957 ref appTerm 7095 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4941 remove nil 150 ref 7095 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5582 remove 7044 ref cons nil cons cons 7096 def 416 ref subst 7096 remove 467 ref subst 5584 remove nil 5585 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4942 ref 5587 remove 6957 ref appTerm 7097 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4942 remove nil 150 ref 7097 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5590 remove 7044 ref cons nil cons cons 7098 def 416 ref subst 7098 remove 467 ref subst 5592 remove nil 5593 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4943 ref 5595 remove 6957 ref appTerm 7099 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4943 remove nil 150 ref 7099 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5598 remove 7044 ref cons nil cons cons 7100 def 416 ref subst 7100 remove 467 ref subst 5600 remove nil 5601 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4944 ref 5603 remove 6957 ref appTerm 7101 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4944 remove nil 150 ref 7101 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5606 remove 7044 ref cons nil cons cons 7102 def 416 ref subst 7102 remove 467 ref subst 5608 remove nil 5609 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4945 ref 5611 remove 6957 ref appTerm 7103 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4945 remove nil 150 ref 7103 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5614 remove 7044 ref cons nil cons cons 7104 def 416 ref subst 7104 remove 467 ref subst 5616 remove nil 5617 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4946 ref 5619 remove 6957 ref appTerm 7105 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4946 remove nil 150 ref 7105 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5622 remove 7044 ref cons nil cons cons 7106 def 416 ref subst 7106 remove 467 ref subst 5624 remove nil 5625 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4947 ref 5627 remove 6957 ref appTerm 7107 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4947 remove nil 150 ref 7107 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5630 remove 7044 ref cons nil cons cons 7108 def 416 ref subst 7108 remove 467 ref subst 5632 remove nil 5633 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4948 ref 5635 remove 6957 ref appTerm 7109 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4948 remove nil 150 ref 7109 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5638 remove 7044 ref cons nil cons cons 7110 def 416 ref subst 7110 remove 467 ref subst 5640 remove nil 5641 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4949 ref 5643 remove 6957 ref appTerm 7111 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4949 remove nil 150 ref 7111 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5646 remove 7044 ref cons nil cons cons 7112 def 416 ref subst 7112 remove 467 ref subst 5648 remove nil 5649 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4950 ref 5651 remove 6957 ref appTerm 7113 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4950 remove nil 150 ref 7113 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5654 remove 7044 ref cons nil cons cons 7114 def 416 ref subst 7114 remove 467 ref subst 5656 remove nil 5657 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4951 ref 5659 remove 6957 ref appTerm 7115 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4951 remove nil 150 ref 7115 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5662 remove 7044 ref cons nil cons cons 7116 def 416 ref subst 7116 remove 467 ref subst 5664 remove nil 5665 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4952 ref 5667 remove 6957 ref appTerm 7117 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4952 remove nil 150 ref 7117 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5670 remove 7044 ref cons nil cons cons 7118 def 416 ref subst 7118 remove 467 ref subst 5672 remove nil 5673 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4953 ref 5675 remove 6957 ref appTerm 7119 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4953 remove nil 150 ref 7119 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5678 remove 7044 ref cons nil cons cons 7120 def 416 ref subst 7120 remove 467 ref subst 5680 remove nil 5681 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4954 ref 5683 remove 6957 ref appTerm 7121 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4954 remove nil 150 ref 7121 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5686 remove 7044 ref cons nil cons cons 7122 def 416 ref subst 7122 remove 467 ref subst 5688 remove nil 5689 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4955 ref 5691 remove 6957 ref appTerm 7123 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4955 remove nil 150 ref 7123 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5694 remove 7044 ref cons nil cons cons 7124 def 416 ref subst 7124 remove 467 ref subst 5696 remove nil 5697 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4956 ref 5699 remove 6957 ref appTerm 7125 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4956 remove nil 150 ref 7125 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5702 remove 7044 ref cons nil cons cons 7126 def 416 ref subst 7126 remove 467 ref subst 5704 remove nil 5705 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4957 ref 5707 remove 6957 ref appTerm 7127 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4957 remove nil 150 ref 7127 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5710 remove 7044 ref cons nil cons cons 7128 def 416 ref subst 7128 remove 467 ref subst 5712 remove nil 5713 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4958 ref 5715 remove 6957 ref appTerm 7129 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4958 remove nil 150 ref 7129 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5718 remove 7044 ref cons nil cons cons 7130 def 416 ref subst 7130 remove 467 ref subst 5720 remove nil 5721 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4959 ref 5723 remove 6957 ref appTerm 7131 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4959 remove nil 150 ref 7131 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5726 remove 7044 ref cons nil cons cons 7132 def 416 ref subst 7132 remove 467 ref subst 5728 remove nil 5729 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4960 ref 5731 remove 6957 ref appTerm 7133 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4960 remove nil 150 ref 7133 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5734 remove 7044 ref cons nil cons cons 7134 def 416 ref subst 7134 remove 467 ref subst 5736 remove nil 5737 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4961 ref 5739 remove 6957 ref appTerm 7135 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4961 remove nil 150 ref 7135 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5742 remove 7044 ref cons nil cons cons 7136 def 416 ref subst 7136 remove 467 ref subst 5744 remove nil 5745 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4962 ref 5747 remove 6957 ref appTerm 7137 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4962 remove nil 150 ref 7137 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5750 remove 7044 ref cons nil cons cons 7138 def 416 ref subst 7138 remove 467 ref subst 5752 remove nil 5753 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4963 ref 5755 remove 6957 ref appTerm 7139 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4963 remove nil 150 ref 7139 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5758 remove 7044 ref cons nil cons cons 7140 def 416 ref subst 7140 remove 467 ref subst 5760 remove nil 5761 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4964 ref 5763 remove 6957 ref appTerm 7141 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4964 remove nil 150 ref 7141 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5766 remove 7044 ref cons nil cons cons 7142 def 416 ref subst 7142 remove 467 ref subst 5768 remove nil 5769 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4965 ref 5771 remove 6957 ref appTerm 7143 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4965 remove nil 150 ref 7143 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5774 remove 7044 ref cons nil cons cons 7144 def 416 ref subst 7144 remove 467 ref subst 5776 remove nil 5777 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4966 ref 5779 remove 6957 ref appTerm 7145 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4966 remove nil 150 ref 7145 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5782 remove 7044 ref cons nil cons cons 7146 def 416 ref subst 7146 remove 467 ref subst 5784 remove nil 5785 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4967 ref 5787 remove 6957 ref appTerm 7147 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4967 remove nil 150 ref 7147 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5790 remove 7044 ref cons nil cons cons 7148 def 416 ref subst 7148 remove 467 ref subst 5792 remove nil 5793 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4968 ref 5795 remove 6957 ref appTerm 7149 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4968 remove nil 150 ref 7149 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5798 remove 7044 ref cons nil cons cons 7150 def 416 ref subst 7150 remove 467 ref subst 5800 remove nil 5801 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4969 ref 5803 remove 6957 ref appTerm 7151 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4969 remove nil 150 ref 7151 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5806 remove 7044 ref cons nil cons cons 7152 def 416 ref subst 7152 remove 467 ref subst 5808 remove nil 5809 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4970 ref 5811 remove 6957 ref appTerm 7153 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4970 remove nil 150 ref 7153 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5814 remove 7044 ref cons nil cons cons 7154 def 416 ref subst 7154 remove 467 ref subst 5816 remove nil 5817 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4971 ref 5819 remove 6957 ref appTerm 7155 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4971 remove nil 150 ref 7155 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5822 remove 7044 ref cons nil cons cons 7156 def 416 ref subst 7156 remove 467 ref subst 5824 remove nil 5825 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4972 ref 5827 remove 6957 ref appTerm 7157 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4972 remove nil 150 ref 7157 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5830 remove 7044 ref cons nil cons cons 7158 def 416 ref subst 7158 remove 467 ref subst 5832 remove nil 5833 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4973 ref 5835 remove 6957 ref appTerm 7159 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4973 remove nil 150 ref 7159 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5838 remove 7044 ref cons nil cons cons 7160 def 416 ref subst 7160 remove 467 ref subst 5840 remove nil 5841 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4974 ref 5843 remove 6957 ref appTerm 7161 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4974 remove nil 150 ref 7161 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5846 remove 7044 ref cons nil cons cons 7162 def 416 ref subst 7162 remove 467 ref subst 5848 remove nil 5849 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4975 ref 5851 remove 6957 ref appTerm 7163 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4975 remove nil 150 ref 7163 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5854 remove 7044 ref cons nil cons cons 7164 def 416 ref subst 7164 remove 467 ref subst 5856 remove nil 5857 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4976 ref 5859 remove 6957 ref appTerm 7165 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4976 remove nil 150 ref 7165 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5862 remove 7044 ref cons nil cons cons 7166 def 416 ref subst 7166 remove 467 ref subst 5864 remove nil 5865 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4977 ref 5867 remove 6957 ref appTerm 7167 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4977 remove nil 150 ref 7167 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5870 remove 7044 ref cons nil cons cons 7168 def 416 ref subst 7168 remove 467 ref subst 5872 remove nil 5873 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4978 ref 5875 remove 6957 ref appTerm 7169 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4978 remove nil 150 ref 7169 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5878 remove 7044 ref cons nil cons cons 7170 def 416 ref subst 7170 remove 467 ref subst 5880 remove nil 5881 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4979 ref 5883 remove 6957 ref appTerm 7171 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4979 remove nil 150 ref 7171 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5886 remove 7044 ref cons nil cons cons 7172 def 416 ref subst 7172 remove 467 ref subst 5888 remove nil 5889 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4980 ref 5891 remove 6957 ref appTerm 7173 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4980 remove nil 150 ref 7173 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5894 remove 7044 ref cons nil cons cons 7174 def 416 ref subst 7174 remove 467 ref subst 5896 remove nil 5897 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4981 ref 5899 remove 6957 ref appTerm 7175 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4981 remove nil 150 ref 7175 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5902 remove 7044 ref cons nil cons cons 7176 def 416 ref subst 7176 remove 467 ref subst 5904 remove nil 5905 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4982 ref 5907 remove 6957 ref appTerm 7177 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4982 remove nil 150 ref 7177 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5910 remove 7044 ref cons nil cons cons 7178 def 416 ref subst 7178 remove 467 ref subst 5912 remove nil 5913 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4983 ref 5915 remove 6957 ref appTerm 7179 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4983 remove nil 150 ref 7179 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5918 remove 7044 ref cons nil cons cons 7180 def 416 ref subst 7180 remove 467 ref subst 5920 remove nil 5921 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4984 ref 5923 remove 6957 ref appTerm 7181 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4984 remove nil 150 ref 7181 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5926 remove 7044 ref cons nil cons cons 7182 def 416 ref subst 7182 remove 467 ref subst 5928 remove nil 5929 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4985 ref 5931 remove 6957 ref appTerm 7183 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4985 remove nil 150 ref 7183 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5934 remove 7044 ref cons nil cons cons 7184 def 416 ref subst 7184 remove 467 ref subst 5936 remove nil 5937 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4986 ref 5939 remove 6957 ref appTerm 7185 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4986 remove nil 150 ref 7185 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5942 remove 7044 ref cons nil cons cons 7186 def 416 ref subst 7186 remove 467 ref subst 5944 remove nil 5945 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4987 ref 5947 remove 6957 ref appTerm 7187 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4987 remove nil 150 ref 7187 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5950 remove 7044 ref cons nil cons cons 7188 def 416 ref subst 7188 remove 467 ref subst 5952 remove nil 5953 remove 7044 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 4988 ref 5955 remove 6957 ref appTerm 7189 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 4988 remove nil 150 ref 7189 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5958 remove 7044 ref cons nil cons cons 7190 def 416 ref subst 7190 remove 467 ref subst 5960 remove nil 5962 remove 7044 ref cons nil cons cons 7191 def 459 ref subst proveHyp 7191 ref 416 ref subst 7191 remove 467 ref subst 5965 remove 5966 remove 5968 remove 5970 remove 5971 remove 515 ref subst nil 435 ref 5285 remove nil cons cons 437 ref 5395 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 5286 remove nil cons cons 437 ref 5394 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 5290 remove nil cons cons 437 ref 5393 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 5291 remove nil cons cons 437 ref 5392 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 5292 ref nil cons cons 437 ref 5391 remove nil cons cons nil cons cons nil cons cons 7192 def 451 ref subst 7192 remove 515 ref subst nil 435 ref 5293 ref nil cons cons 437 ref 5390 remove nil cons cons nil cons cons nil cons cons 7193 def 451 ref subst 7193 remove 515 ref subst nil 435 ref 5294 ref nil cons cons 437 ref 5389 remove nil cons cons nil cons cons nil cons cons 7194 def 451 ref subst 7194 remove 515 ref subst nil 435 ref 5295 ref nil cons cons 437 ref 5388 remove nil cons cons nil cons cons nil cons cons 7195 def 451 ref subst 7195 remove 515 ref subst nil 435 ref 4992 remove nil cons cons 437 ref 5387 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 5296 remove nil cons cons 437 ref 5386 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 5297 remove nil cons cons 437 ref 5385 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 5298 remove nil cons cons 437 ref 5384 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 5299 remove nil cons cons 437 ref 5383 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 5302 ref nil cons cons 437 ref 5382 remove nil cons cons nil cons cons nil cons cons 7196 def 451 ref subst 7196 remove 515 ref subst nil 435 ref 5303 ref nil cons cons 437 ref 5381 remove nil cons cons nil cons cons nil cons cons 7197 def 451 ref subst 7197 remove 515 ref subst nil 435 ref 5304 remove nil cons cons 437 ref 5380 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 5305 ref nil cons cons 437 ref 5379 remove nil cons cons nil cons cons nil cons cons 7198 def 451 ref subst 7198 remove 515 ref subst nil 435 ref 5306 ref nil cons cons 437 ref 5378 remove nil cons cons nil cons cons nil cons cons 7199 def 451 ref subst 7199 remove 515 ref subst nil 435 ref 5307 ref nil cons cons 437 ref 5377 remove nil cons cons nil cons cons nil cons cons 7200 def 451 ref subst 7200 remove 515 ref subst nil 435 ref 5019 ref nil cons 7201 def cons 437 ref 5376 remove nil cons cons nil cons cons nil cons cons 7202 def 451 ref subst 7202 remove 515 ref subst nil 435 ref 5308 ref nil cons 7203 def cons 437 ref 5375 remove nil cons cons nil cons cons nil cons cons 7204 def 451 ref subst 7204 remove 515 ref subst nil 435 ref 5310 ref nil cons cons 437 ref 5374 remove nil cons cons nil cons cons nil cons cons 7205 def 451 ref subst 7205 remove 515 ref subst nil 435 ref 5029 ref nil cons 7206 def cons 437 ref 5373 remove nil cons cons nil cons cons nil cons cons 7207 def 451 ref subst 7207 remove 515 ref subst nil 435 ref 5033 ref nil cons 7208 def cons 437 ref 5372 remove nil cons cons nil cons cons nil cons cons 7209 def 451 ref subst 7209 remove 515 ref subst nil 435 ref 5311 ref nil cons 7210 def cons 437 ref 5371 remove nil cons cons nil cons cons nil cons cons 7211 def 451 ref subst 7211 remove 515 ref subst nil 435 ref 5312 ref nil cons cons 437 ref 5370 remove nil cons cons nil cons cons nil cons cons 7212 def 451 ref subst 7212 remove 515 ref subst nil 435 ref 5314 ref nil cons 7213 def cons 437 ref 5369 remove nil cons cons nil cons cons nil cons cons 7214 def 451 ref subst 7214 remove 515 ref subst nil 435 ref 5316 ref nil cons 7215 def cons 437 ref 5368 remove nil cons cons nil cons cons nil cons cons 7216 def 451 ref subst 7216 remove 515 ref subst nil 435 ref 5047 ref nil cons 7217 def cons 437 ref 5367 remove nil cons cons nil cons cons nil cons cons 7218 def 451 ref subst 7218 remove 515 ref subst nil 435 ref 5053 ref nil cons 7219 def cons 437 ref 5366 remove nil cons cons nil cons cons nil cons cons 7220 def 451 ref subst 7220 remove 515 ref subst nil 435 ref 5058 ref nil cons 7221 def cons 437 ref 5365 remove nil cons cons nil cons cons nil cons cons 7222 def 451 ref subst 7222 remove 515 ref subst nil 435 ref 5063 ref nil cons 7223 def cons 437 ref 5364 remove nil cons cons nil cons cons nil cons cons 7224 def 451 ref subst 7224 remove 515 ref subst nil 435 ref 5317 ref nil cons 7225 def cons 437 ref 5363 remove nil cons cons nil cons cons nil cons cons 7226 def 451 ref subst 7226 remove 515 ref subst nil 435 ref 5319 ref nil cons 7227 def cons 437 ref 5362 remove nil cons cons nil cons cons nil cons cons 7228 def 451 ref subst 7228 remove 515 ref subst nil 435 ref 5320 ref nil cons 7229 def cons 437 ref 5361 remove nil cons cons nil cons cons nil cons cons 7230 def 451 ref subst 7230 remove 515 ref subst nil 435 ref 5321 ref nil cons 7231 def cons 437 ref 5360 remove nil cons cons nil cons cons nil cons cons 7232 def 451 ref subst 7232 remove 515 ref subst nil 435 ref 5322 ref nil cons 7233 def cons 437 ref 5359 remove nil cons cons nil cons cons nil cons cons 7234 def 451 ref subst 7234 remove 515 ref subst nil 435 ref 5323 ref nil cons 7235 def cons 437 ref 5358 remove nil cons cons nil cons cons nil cons cons 7236 def 451 ref subst 7236 remove 515 ref subst nil 435 ref 5325 ref nil cons 7237 def cons 437 ref 5357 remove nil cons cons nil cons cons nil cons cons 7238 def 451 ref subst 7238 remove 515 ref subst nil 435 ref 5326 ref nil cons 7239 def cons 437 ref 5356 remove nil cons cons nil cons cons nil cons cons 7240 def 451 ref subst 7240 remove 515 ref subst nil 435 ref 5080 ref nil cons 7241 def cons 437 ref 5355 remove nil cons cons nil cons cons nil cons cons 7242 def 451 ref subst 7242 remove 515 ref subst nil 435 ref 5327 ref nil cons 7243 def cons 437 ref 5354 remove nil cons cons nil cons cons nil cons cons 7244 def 451 ref subst 7244 remove 515 ref subst nil 435 ref 5329 ref nil cons 7245 def cons 437 ref 5353 remove nil cons cons nil cons cons nil cons cons 7246 def 451 ref subst 7246 remove 515 ref subst nil 435 ref 5330 ref nil cons 7247 def cons 437 ref 5352 remove nil cons cons nil cons cons nil cons cons 7248 def 451 ref subst 7248 remove 515 ref subst nil 435 ref 5091 ref nil cons 7249 def cons 437 ref 5351 remove nil cons cons nil cons cons nil cons cons 7250 def 451 ref subst 7250 remove 515 ref subst nil 435 ref 5331 ref nil cons 7251 def cons 437 ref 5350 remove nil cons cons nil cons cons nil cons cons 7252 def 451 ref subst 7252 remove 515 ref subst nil 435 ref 5333 ref nil cons 7253 def cons 437 ref 5349 remove nil cons cons nil cons cons nil cons cons 7254 def 451 ref subst 7254 remove 515 ref subst nil 435 ref 5335 ref nil cons 7255 def cons 437 ref 5348 remove nil cons cons nil cons cons nil cons cons 7256 def 451 ref subst 7256 remove 515 ref subst nil 435 ref 5336 ref nil cons 7257 def cons 437 ref 5347 remove nil cons cons nil cons cons nil cons cons 7258 def 451 ref subst 7258 remove 515 ref subst nil 435 ref 5102 ref nil cons 7259 def cons 437 ref 5346 remove nil cons cons nil cons cons nil cons cons 7260 def 451 ref subst 7260 remove 515 ref subst nil 435 ref 5337 ref nil cons 7261 def cons 437 ref 5345 remove nil cons cons nil cons cons nil cons cons 7262 def 451 ref subst 7262 remove 515 ref subst nil 435 ref 5339 ref nil cons 7263 def cons 437 ref 5344 remove nil cons cons nil cons cons nil cons cons 7264 def 451 ref subst 7264 remove 515 ref subst nil 435 ref 5341 ref nil cons 7265 def cons 437 ref 5343 remove nil cons cons nil cons cons nil cons cons 7266 def 451 ref subst 7266 remove 515 ref subst nil 435 ref 5342 ref nil cons 7267 def cons 437 ref 5218 remove nil cons cons nil cons cons nil cons cons 7268 def 451 ref subst 7268 remove 515 ref subst nil 435 ref 5112 ref nil cons 7269 def cons 437 ref 5217 remove nil cons cons nil cons cons nil cons cons 7270 def 451 ref subst 7270 remove 515 ref subst nil 435 ref 5116 ref nil cons 7271 def cons 437 ref 5216 remove nil cons cons nil cons cons nil cons cons 7272 def 451 ref subst 7272 remove 515 ref subst nil 435 ref 5119 ref nil cons 7273 def cons 437 ref 5215 remove nil cons cons nil cons cons nil cons cons 7274 def 451 ref subst 7274 remove 515 ref subst nil 435 ref 5126 ref nil cons 7275 def cons 437 ref 5214 remove nil cons cons nil cons cons nil cons cons 7276 def 451 ref subst 7276 remove 515 ref subst nil 435 ref 5130 ref nil cons 7277 def cons 437 ref 5213 remove nil cons cons nil cons cons nil cons cons 7278 def 451 ref subst 7278 remove 515 ref subst nil 435 ref 5134 ref nil cons 7279 def cons 437 ref 5212 remove nil cons cons nil cons cons nil cons cons 7280 def 451 ref subst 7280 remove 515 ref subst nil 435 ref 5139 ref nil cons 7281 def cons 437 ref 5211 remove nil cons cons nil cons cons nil cons cons 7282 def 451 ref subst 7282 remove 515 ref subst nil 435 ref 5144 ref nil cons 7283 def cons 437 ref 5210 remove nil cons cons nil cons cons nil cons cons 7284 def 451 ref subst 7284 remove 515 ref subst nil 435 ref 5147 ref nil cons 7285 def cons 437 ref 5209 remove nil cons cons nil cons cons nil cons cons 7286 def 451 ref subst 7286 remove 515 ref subst nil 435 ref 5152 ref nil cons 7287 def cons 437 ref 5208 remove nil cons cons nil cons cons nil cons cons 7288 def 451 ref subst 7288 remove 515 ref subst nil 435 ref 5156 ref nil cons 7289 def cons 437 ref 5207 remove nil cons cons nil cons cons nil cons cons 7290 def 451 ref subst 7290 remove 515 ref subst nil 435 ref 5158 ref nil cons 7291 def cons 437 ref 5206 remove nil cons cons nil cons cons nil cons cons 7292 def 451 ref subst 7292 remove 515 ref subst nil 435 ref 5160 ref nil cons 7293 def cons 437 ref 5205 remove nil cons cons nil cons cons nil cons cons 7294 def 451 ref subst 7294 remove 515 ref subst nil 435 ref 5162 ref nil cons 7295 def cons 437 ref 5204 remove nil cons cons nil cons cons nil cons cons 7296 def 451 ref subst 7296 remove 515 ref subst nil 435 ref 5164 ref nil cons 7297 def cons 437 ref 5203 remove nil cons cons nil cons cons nil cons cons 7298 def 451 ref subst 7298 remove 515 ref subst nil 435 ref 5167 ref nil cons 7299 def cons 437 ref 5202 remove nil cons cons nil cons cons nil cons cons 7300 def 451 ref subst 7300 remove 515 ref subst nil 435 ref 5172 ref nil cons 7301 def cons 437 ref 5201 remove nil cons cons nil cons cons nil cons cons 7302 def 451 ref subst 7302 remove 515 ref subst nil 435 ref 5179 ref nil cons 7303 def cons 437 ref 5200 remove nil cons cons nil cons cons nil cons cons 7304 def 451 ref subst 7304 remove 515 ref subst nil 435 ref 5184 ref nil cons 7305 def cons 437 ref 5199 remove nil cons cons nil cons cons nil cons cons 7306 def 451 ref subst 7306 remove 515 ref subst nil 435 ref 5186 ref nil cons 7307 def cons 437 ref 5198 remove nil cons cons nil cons cons nil cons cons 7308 def 451 ref subst 7308 remove 515 ref subst nil 435 ref 5188 ref nil cons 7309 def cons 437 ref 5197 remove nil cons cons nil cons cons nil cons cons 7310 def 451 ref subst 7310 remove 515 ref subst nil 435 ref 5190 ref nil cons 7311 def cons 437 ref 5196 remove nil cons cons nil cons cons nil cons cons 7312 def 451 ref subst 7312 remove 515 ref subst nil 435 ref 5193 ref nil cons 7313 def cons 437 ref 5195 ref nil cons 7314 def cons nil cons cons nil cons cons 7315 def 451 ref subst 7315 remove 515 ref subst nil 160 ref 707 ref 6912 ref 180 ref "Number.Natural.Bits.cons" const 0 ref 2 ref 185 remove cons opType constTerm 7316 def 44 ref 5111 ref appTerm 7317 def 713 ref 699 ref 708 ref appTerm 7318 def appTerm 7319 def appTerm 7320 def appTerm 187 ref 726 ref 728 ref 234 ref appTerm 7321 def 7319 ref appTerm appTerm appTerm 2196 ref 726 ref 728 ref 238 ref appTerm 7322 def 7319 ref appTerm appTerm appTerm appTerm 7323 def appTerm 7324 def appTerm "Number.Natural.Bits.shiftRight" const 186 ref constTerm 7325 def 2195 ref "Number.Natural.Bits.bound" const 186 ref constTerm 7326 def 689 ref appTerm 7327 def 187 ref 708 ref appTerm 7328 def 192 ref appTerm 7329 def appTerm 7330 def appTerm 1881 ref appTerm 7331 def appTerm 7332 def 708 ref appTerm 7333 def appTerm 7334 def appTerm 7335 def absTerm 7336 def nil cons cons 7337 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 7335 remove nil cons 7338 def cons nil cons nil cons cons 155 ref subst nil 399 ref 6911 ref nil cons 7339 def cons 7340 def 400 ref 7334 ref nil cons 7341 def cons nil cons 7342 def cons nil cons cons 7343 def 416 ref subst 7343 remove 467 ref subst 6 ref 172 ref 12 ref 172 ref 13 ref 172 ref 19 ref 172 ref 20 ref 42 ref 17 ref "i'" 14 ref var 7344 def 41 ref 698 ref 7344 ref varTerm 7345 def appTerm 7346 def 708 ref appTerm 7347 def appTerm 7348 def 129 ref 46 ref 713 ref 7345 ref appTerm 7349 def appTerm appTerm 180 ref 7345 ref appTerm 191 ref appTerm 7350 def appTerm appTerm absTerm appTerm 7351 def appTerm 7352 def 2204 ref 42 ref 17 ref 7344 ref 41 ref 42 ref 7346 ref 7318 ref appTerm appTerm 7353 def 42 ref 4838 ref 7345 ref appTerm appTerm 7354 def 7346 ref 187 ref 182 ref appTerm 7355 def 699 ref 192 ref appTerm 7356 def appTerm appTerm appTerm appTerm appTerm 180 ref 187 ref 726 ref 2233 ref 7349 ref appTerm appTerm appTerm 2196 ref 726 ref 2234 ref 7349 remove appTerm appTerm appTerm appTerm appTerm 1881 ref appTerm 7357 def appTerm absTerm appTerm appTerm 5112 ref appTerm appTerm appTerm absTerm 7358 def appTerm absTerm 7359 def appTerm absTerm 7360 def appTerm absTerm 7361 def appTerm absTerm 7362 def 45 ref appTerm betaConv sym 7361 ref 56 ref appTerm betaConv sym 7360 ref 57 ref appTerm betaConv sym 7359 ref 59 ref appTerm betaConv sym 7358 ref 60 ref appTerm betaConv sym 7352 remove refl 7065 ref 625 ref 603 ref 7344 ref 165 ref 7353 ref refl 7354 ref refl 7346 ref refl 1368 ref 7062 ref appThm 7356 ref refl appThm appThm appThm appThm appThm 7357 ref refl appThm absThm appThm appThm nil 150 ref 7269 remove cons nil cons nil cons cons 155 ref subst 5112 remove assume eqMp appThm nil 150 ref 17 ref 7344 ref 41 ref 7353 remove 7354 remove 7346 remove 189 ref 7356 remove appTerm 7363 def appTerm appTerm appTerm appTerm 7357 remove appTerm absTerm appTerm nil cons 7364 def cons nil cons nil cons cons 7365 def 1105 ref subst trans appThm 7365 remove 633 ref subst trans appThm sym nil 160 ref "j" 14 ref var 7366 def 41 ref 698 ref 7366 ref varTerm 7367 def appTerm 7368 def 708 ref appTerm 7369 def appTerm 7370 def 129 ref 46 ref 713 ref 7367 ref appTerm 7371 def appTerm appTerm 180 ref 7367 ref appTerm 191 ref appTerm 7372 def appTerm 7373 def appTerm 7374 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 7366 ref nil 150 ref 7374 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 7369 ref nil cons 7375 def cons 7376 def 400 ref 7373 ref nil cons 7377 def cons nil cons 7378 def cons nil cons cons 7379 def 416 ref subst 7379 remove 467 ref subst 1116 ref 41 ref 42 ref 7369 ref appTerm 7380 def 709 ref 1117 ref appTerm appTerm appTerm 7368 ref 1117 ref appTerm 7381 def appTerm absTerm 7382 def 703 ref appTerm 7383 def betaConv 1003 ref 17 ref 1116 ref 41 ref 42 ref 7368 ref 1011 ref appTerm appTerm 7384 def 4555 ref appTerm appTerm 7381 remove appTerm absTerm appTerm absTerm 7385 def 708 ref appTerm 7386 def betaConv 4743 remove 7367 ref appTerm 7387 def betaConv 4745 remove nil 4747 remove 400 ref 7387 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 4772 remove 475 ref 7367 ref nil cons 7388 def cons nil cons 7389 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 7385 ref appTerm nil cons cons 400 ref 7386 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7385 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 7390 def nil 399 ref 17 ref 7382 ref appTerm nil cons cons 7391 def 400 ref 7383 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7382 ref nil cons cons 7392 def 475 ref 1220 ref cons nil cons 7393 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 7380 ref 6911 ref appTerm appTerm 7368 ref 703 ref appTerm 7394 def appTerm nil cons cons 7378 remove cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 625 ref nil 150 ref 7375 ref cons nil cons nil cons cons 155 ref subst 7369 ref assume eqMp appThm 7395 def nil 150 ref 7339 ref cons nil cons nil cons cons 155 ref subst 6911 remove assume eqMp 7396 def appThm 634 ref trans appThm 7394 ref refl appThm nil 150 ref 7394 remove nil cons cons nil cons nil cons cons 614 ref subst trans appThm 7373 remove refl appThm nil 707 ref 7388 ref cons 7397 def nil cons nil cons cons 7398 def nil 150 ref 6913 remove nil cons cons nil cons nil cons cons 155 ref subst 7399 def 6914 ref 708 ref appTerm 7400 def betaConv nil 399 ref 7052 ref cons 400 ref 7400 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 6914 remove nil cons cons 7401 def 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 7402 def eqMp subst trans sym 154 ref eqMp eqMp eqMp nil 435 ref 7375 ref cons 7403 def 437 ref 7377 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 7351 remove nil cons cons 400 ref 7364 remove cons nil cons cons nil cons cons 467 ref subst proveHyp nil 160 ref 7366 ref 41 ref 42 ref 7368 ref 7318 ref appTerm 7404 def appTerm 42 ref 4838 remove 7367 ref appTerm 7405 def appTerm 7406 def 7368 ref 7363 ref appTerm 7407 def appTerm 7408 def appTerm 7409 def appTerm 180 ref 187 ref 726 ref 2233 ref 7371 ref appTerm appTerm appTerm 2196 ref 726 ref 2234 ref 7371 remove appTerm appTerm appTerm appTerm appTerm 1881 ref appTerm 7410 def appTerm 7411 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 7366 ref nil 150 ref 7411 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 7409 remove nil cons 7412 def cons 400 ref 7410 remove nil cons 7413 def cons nil cons 7414 def cons nil cons cons 7415 def 416 ref subst 7415 remove 467 ref subst nil 435 ref 7404 remove nil cons cons 437 ref 7408 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 7405 ref nil cons 7416 def cons 437 ref 7407 ref nil cons 7417 def cons nil cons cons nil cons cons 7418 def 451 ref subst 7418 remove 515 ref subst 625 ref nil 150 ref 7416 remove cons nil cons nil cons cons 155 ref subst 7405 remove assume eqMp appThm 7368 ref 4840 ref appTerm 7419 def refl appThm nil 150 ref 7419 ref nil cons 7420 def cons nil cons nil cons cons 633 ref subst trans sym 1003 ref 7384 ref 4352 ref 4840 ref appTerm 7421 def appTerm absTerm 7422 def 7363 ref appTerm betaConv sym 625 ref nil 150 ref 7417 remove cons nil cons nil cons cons 155 ref subst 7407 remove assume eqMp appThm 698 ref 7363 ref appTerm 4840 ref appTerm 7423 def refl appThm nil 150 ref 7423 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym 4701 ref nil 2073 ref 6124 ref 1240 ref cons 7424 def cons nil cons cons 2078 ref subst appThm nil 2073 ref 2091 ref 1221 ref cons cons nil cons cons 2078 ref subst appThm nil 1116 ref 699 ref 188 ref appTerm 7425 def nil cons 7426 def cons 2719 ref 1003 ref 189 ref 58 ref appTerm nil cons cons nil cons cons cons nil cons cons 4718 ref subst trans sym 4701 ref nil 7424 remove nil cons cons 1210 ref subst appThm 7425 remove refl appThm sym nil 1003 ref 7426 remove cons nil cons nil cons cons 4700 ref subst sym 154 ref eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 7422 ref nil cons cons 475 ref 7363 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 7422 remove appTerm nil cons cons 400 ref 7420 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 4840 ref nil cons 7427 def cons 7428 def 1006 ref 7388 ref cons nil cons 7429 def cons nil cons cons 4776 ref subst eqMp eqMp nil 399 ref 7406 remove 7419 remove appTerm nil cons cons 7414 remove cons nil cons cons 459 ref subst proveHyp 7398 ref 7067 remove subst eqMp proveHyp proveHyp proveHyp eqMp nil 435 ref 7412 remove cons 437 ref 7413 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp 158 ref 156 ref 7358 remove nil cons cons 481 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 7359 remove nil cons cons 479 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 7360 remove nil cons cons 474 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 7361 remove nil cons cons 472 ref cons nil cons cons 3525 ref subst proveHyp eqMp 126 ref 5 ref 7362 ref nil cons cons 461 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 169 ref 7362 remove appTerm nil cons cons 7342 remove cons nil cons cons 459 ref subst proveHyp nil 37 ref 238 ref nil cons 7430 def cons 7431 def 36 ref 234 ref nil cons 7432 def cons 7433 def 695 ref 1092 ref cons 7434 def 1014 ref 476 ref cons "zb" 1 ref var 7435 def 5111 ref nil cons 7436 def cons nil cons cons cons cons cons nil cons cons 695 ref 41 ref 169 ref 6 ref 172 ref 12 ref 172 ref 13 ref 172 ref 19 ref 172 ref 20 ref 723 ref 2204 ref 42 ref 17 ref 707 ref 41 ref 42 ref 709 ref 187 ref 1017 ref appTerm 7437 def 710 ref appTerm 7438 def appTerm appTerm 42 ref 698 ref 1017 ref appTerm 7439 def 708 ref appTerm 7440 def appTerm 709 ref 7355 remove 7437 ref 192 ref appTerm 7441 def appTerm appTerm appTerm appTerm appTerm 4846 ref appTerm absTerm appTerm appTerm 5110 remove 1017 ref appTerm 59 ref appTerm 60 ref appTerm 7435 ref varTerm 7442 def appTerm 74 ref appTerm 75 ref appTerm appTerm appTerm appTerm 7443 def absTerm 7444 def appTerm 7445 def absTerm 7446 def appTerm 7447 def absTerm 7448 def appTerm 7449 def absTerm 7450 def appTerm 7451 def absTerm 7452 def appTerm 7453 def appTerm 7454 def 180 ref 7316 ref 44 ref 7442 ref appTerm 7455 def 713 ref 7438 remove appTerm 7456 def appTerm appTerm 187 ref 726 ref 6951 ref 7456 ref appTerm appTerm appTerm 2196 ref 726 ref 6954 ref 7456 remove appTerm appTerm appTerm appTerm appTerm appTerm 7325 ref 2195 ref 7327 ref 2265 ref 192 ref appTerm appTerm appTerm 1881 ref appTerm appTerm 710 ref appTerm 7457 def appTerm 7458 def appTerm 7459 def absTerm 7460 def 710 ref appTerm 7461 def betaConv 1878 ref 17 ref 7460 ref appTerm 7462 def absTerm 7463 def 1881 ref appTerm 7464 def betaConv 475 ref 17 ref 7463 ref appTerm 7465 def absTerm 7466 def 689 ref appTerm 7467 def betaConv 1014 ref 17 ref 7466 ref appTerm 7468 def absTerm 7469 def 1017 ref appTerm 7470 def betaConv 38 ref 17 ref 7469 ref appTerm 7471 def absTerm 7472 def 47 ref appTerm 7473 def betaConv 37 ref 17 ref 7472 ref appTerm 7474 def absTerm 7475 def 75 ref appTerm 7476 def betaConv 36 ref 11 ref 7475 ref appTerm 7477 def absTerm 7478 def 74 ref appTerm 7479 def betaConv 7435 ref 11 ref 7478 ref appTerm 7480 def absTerm 7481 def 7442 ref appTerm 7482 def betaConv nil 17 ref 475 ref 17 ref 1878 ref 34 ref 6 ref 11 ref 12 ref 11 ref 13 ref 17 ref 1014 ref 11 ref 19 ref 11 ref 20 ref 34 ref 7435 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 17 ref 695 ref 41 ref 7443 ref appTerm 7458 ref appTerm absTerm 7483 def appTerm 7484 def absTerm 7485 def appTerm 7486 def absTerm 7487 def appTerm 7488 def absTerm 7489 def appTerm 7490 def absTerm 7491 def appTerm 7492 def absTerm 7493 def appTerm 7494 def absTerm 7495 def appTerm 7496 def absTerm 7497 def appTerm 7498 def absTerm 7499 def appTerm 7500 def absTerm 7501 def appTerm 7502 def absTerm 7503 def appTerm 7504 def absTerm 7505 def appTerm 7506 def absTerm 7507 def appTerm 7508 def axiom nil 399 ref 7508 ref nil cons 7509 def cons 7510 def 400 ref 34 ref 7481 ref appTerm nil cons 7511 def cons nil cons cons nil cons cons 7512 def 459 ref subst proveHyp 7512 ref 416 ref subst 7512 remove 467 ref subst nil 5 ref 7481 remove nil cons cons 7513 def nil cons nil cons cons 149 ref subst 7435 ref nil 150 ref 7480 remove nil cons 7514 def cons nil cons nil cons cons 155 ref subst nil 156 ref 7478 remove nil cons cons 7515 def nil cons nil cons cons 159 ref subst 36 ref nil 150 ref 7477 remove nil cons 7516 def cons nil cons nil cons cons 155 ref subst nil 156 ref 7475 remove nil cons cons 7517 def nil cons nil cons cons 159 ref subst 37 ref nil 150 ref 7474 remove nil cons 7518 def cons nil cons nil cons cons 155 ref subst nil 160 ref 7472 remove nil cons cons 7519 def nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 7471 remove nil cons 7520 def cons nil cons nil cons cons 155 ref subst nil 160 ref 7469 remove nil cons cons 7521 def nil cons nil cons cons 164 ref subst 1014 ref nil 150 ref 7468 remove nil cons 7522 def cons nil cons nil cons cons 155 ref subst nil 160 ref 7466 remove nil cons cons 7523 def nil cons nil cons cons 164 ref subst 475 ref nil 150 ref 7465 remove nil cons 7524 def cons nil cons nil cons cons 155 ref subst nil 160 ref 7463 remove nil cons cons 7525 def nil cons nil cons cons 164 ref subst 1878 ref nil 150 ref 7462 remove nil cons 7526 def cons nil cons nil cons cons 155 ref subst nil 160 ref 7460 remove nil cons cons 7527 def nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 7459 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 7453 remove nil cons 7528 def cons 7529 def 400 ref 7458 ref nil cons 7530 def cons nil cons 7531 def cons nil cons cons 7532 def 416 ref subst 7532 remove 467 ref subst nil 7510 ref 7531 ref cons nil cons cons 7533 def 459 ref subst nil 7529 remove 400 ref 41 ref 7508 remove appTerm 7458 remove appTerm 7534 def nil cons 7535 def cons nil cons 7536 def cons nil cons cons 459 ref subst nil 5 ref 6 ref 41 ref 7452 ref 45 ref appTerm 7537 def appTerm 7534 ref appTerm 7538 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 6 ref nil 150 ref 7538 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 7537 ref nil cons 7539 def cons 7536 ref cons nil cons cons 7540 def 416 ref subst 7540 remove 467 ref subst 7537 ref betaConv 7537 remove assume eqMp nil 399 ref 7451 ref nil cons cons 7536 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 12 ref 41 ref 7450 ref 56 ref appTerm 7541 def appTerm 7534 ref appTerm 7542 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 12 ref nil 150 ref 7542 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 7541 ref nil cons 7543 def cons 7536 ref cons nil cons cons 7544 def 416 ref subst 7544 remove 467 ref subst 7541 ref betaConv 7541 remove assume eqMp nil 399 ref 7449 ref nil cons cons 7536 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 13 ref 41 ref 7448 ref 57 ref appTerm 7545 def appTerm 7534 ref appTerm 7546 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 13 ref nil 150 ref 7546 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 7545 ref nil cons 7547 def cons 7536 ref cons nil cons cons 7548 def 416 ref subst 7548 remove 467 ref subst 7545 ref betaConv 7545 remove assume eqMp nil 399 ref 7447 ref nil cons cons 7536 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 19 ref 41 ref 7446 ref 59 ref appTerm 7549 def appTerm 7534 ref appTerm 7550 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 7550 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 7549 ref nil cons 7551 def cons 7536 ref cons nil cons cons 7552 def 416 ref subst 7552 remove 467 ref subst 7549 ref betaConv 7549 remove assume eqMp nil 399 ref 7445 ref nil cons cons 7536 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 20 ref 41 ref 7444 ref 60 ref appTerm 7553 def appTerm 7534 ref appTerm 7554 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 7554 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 7553 ref nil cons 7555 def cons 7536 ref cons nil cons cons 7556 def 416 ref subst 7556 remove 467 ref subst 7553 ref betaConv 7553 remove assume eqMp nil 399 ref 7443 remove nil cons 7557 def cons 7558 def 7536 remove cons nil cons cons 7559 def 459 ref subst proveHyp 7559 ref 416 ref subst 7559 remove 467 ref subst 7533 ref 416 ref subst 7533 remove 467 ref subst nil 7558 remove 7531 remove cons nil cons cons 459 ref subst 7483 ref 710 ref appTerm 7560 def betaConv 7485 ref 47 ref appTerm 7561 def betaConv 7487 ref 75 ref appTerm 7562 def betaConv 7489 ref 74 ref appTerm 7563 def betaConv 7491 ref 7442 ref appTerm 7564 def betaConv 7493 ref 60 ref appTerm 7565 def betaConv 7495 ref 59 ref appTerm 7566 def betaConv 7497 ref 1017 ref appTerm 7567 def betaConv 7499 ref 57 ref appTerm 7568 def betaConv 7501 ref 56 ref appTerm 7569 def betaConv 7503 ref 45 ref appTerm 7570 def betaConv 7505 ref 1881 ref appTerm 7571 def betaConv 7507 ref 689 ref appTerm 7572 def betaConv nil 7510 remove 400 ref 7572 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 7507 remove nil cons cons 4382 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7506 remove nil cons cons 400 ref 7571 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7505 remove nil cons cons 475 ref 6198 remove cons nil cons 7573 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7504 remove nil cons cons 400 ref 7570 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 7503 remove nil cons cons 461 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7502 remove nil cons cons 400 ref 7569 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7501 remove nil cons cons 472 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7500 remove nil cons cons 400 ref 7568 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7499 remove nil cons cons 474 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7498 remove nil cons cons 400 ref 7567 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7497 remove nil cons cons 2500 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7496 remove nil cons cons 400 ref 7566 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7495 remove nil cons cons 479 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7494 remove nil cons cons 400 ref 7565 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7493 remove nil cons cons 481 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7492 remove nil cons cons 400 ref 7564 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 7491 remove nil cons cons 460 ref 7442 ref nil cons cons nil cons 7574 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7490 remove nil cons cons 400 ref 7563 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7489 remove nil cons cons 501 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7488 remove nil cons cons 400 ref 7562 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7487 remove nil cons cons 504 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7486 remove nil cons cons 400 ref 7561 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7485 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7484 remove nil cons cons 400 ref 7560 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7483 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 7509 remove cons 7575 def 437 ref 7530 remove cons nil cons 7576 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 7557 remove cons 437 ref 7535 remove cons nil cons 7577 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 7555 remove cons 7577 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 7444 ref 653 ref appTerm appTerm 7534 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 7445 remove appTerm 7534 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7444 remove nil cons cons 7577 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 7551 remove cons 7577 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 7446 ref 653 ref appTerm appTerm 7534 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 7447 remove appTerm 7534 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7446 remove nil cons cons 7577 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 7547 remove cons 7577 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 7448 ref 653 ref appTerm appTerm 7534 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 7449 remove appTerm 7534 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7448 remove nil cons cons 7577 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 7543 remove cons 7577 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 7450 ref 653 ref appTerm appTerm 7534 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 7451 remove appTerm 7534 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7450 remove nil cons cons 7577 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 7539 remove cons 7577 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 7452 ref 589 ref appTerm appTerm 7534 ref appTerm absTerm appTerm nil cons cons 400 ref 7454 remove 7534 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 7452 remove nil cons cons 7577 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 7528 remove cons 7576 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 7575 remove 437 ref 7511 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 7511 remove cons 400 ref 7482 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 7513 remove 7574 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7514 remove cons 400 ref 7479 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7515 remove 501 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7516 remove cons 400 ref 7476 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7517 remove 504 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7518 remove cons 400 ref 7473 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7519 remove 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7520 remove cons 400 ref 7470 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7521 remove 2500 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7522 remove cons 400 ref 7467 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7523 remove 4382 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7524 remove cons 400 ref 7464 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7525 remove 7573 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7526 remove cons 400 ref 7461 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7527 remove 1090 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp eqMp nil 435 ref 7339 ref cons 7578 def 437 ref 7341 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 160 ref 707 ref 6912 ref 129 ref 7320 ref appTerm 7579 def "Number.Natural.Bits.bit" const 179 remove constTerm 7580 def 4861 ref appTerm 7581 def 708 ref appTerm 7582 def appTerm 7583 def appTerm 7584 def absTerm 7585 def nil cons cons 7586 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 7584 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7340 ref 400 ref 7583 ref nil cons 7587 def cons nil cons 7588 def cons nil cons cons 7589 def 416 ref subst 7589 ref 467 ref subst "y" 2 ref var 7590 def 42 ref 7579 ref 7590 ref varTerm 7591 def appTerm appTerm 129 ref 7591 ref appTerm 7592 def 7582 ref appTerm 7593 def appTerm absTerm 7594 def "Number.Natural.Bits.head" const 15 ref constTerm 7595 def 7324 ref appTerm 7596 def appTerm betaConv sym 7579 ref refl nil 38 ref 7323 ref nil cons 7597 def cons "h" 2 ref var 7598 def 7320 ref nil cons 7599 def cons nil cons cons nil cons cons 7600 def 38 ref 129 ref 7595 ref 7316 ref 7598 ref varTerm 7601 def appTerm 7602 def 47 ref appTerm 7603 def appTerm appTerm 7601 ref appTerm absTerm 7604 def 47 ref appTerm 7605 def betaConv 7598 ref 17 ref 7604 ref appTerm 7606 def absTerm 7607 def 7601 ref appTerm 7608 def betaConv nil 607 ref 7607 ref appTerm 7609 def axiom nil 399 ref 7609 remove nil cons cons 400 ref 7608 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 7607 remove nil cons cons 611 ref 7601 ref nil cons cons nil cons 7610 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7606 remove nil cons cons 400 ref 7605 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7604 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 7611 def subst appThm nil 611 ref 7599 remove cons nil cons 7612 def nil cons cons 1420 ref subst trans sym 154 ref eqMp nil 399 ref 7579 remove 7596 ref appTerm nil cons cons 400 ref 129 ref 7596 ref appTerm 7582 ref appTerm 7613 def nil cons 7614 def cons nil cons 7615 def cons nil cons cons 467 ref subst proveHyp 7336 ref 708 ref appTerm 7616 def betaConv nil 399 ref 17 ref 7336 remove appTerm nil cons cons 400 ref 7616 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 7337 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 7617 def nil 399 ref 7338 remove cons 7618 def 7615 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 7396 ref appThm 7334 ref refl appThm nil 150 ref 7341 ref cons nil cons nil cons cons 614 ref subst trans appThm 7619 def 7613 remove refl appThm sym nil 399 ref 7341 ref cons 7620 def 7615 remove cons nil cons cons 7621 def 416 ref subst 7621 remove 467 ref subst 129 ref "_47711" 14 ref var 7622 def 129 ref 7595 ref 7622 remove varTerm appTerm appTerm 7582 ref appTerm absTerm 7623 def 7324 ref appTerm 7624 def appTerm refl 7623 ref 7333 ref appTerm betaConv appThm 439 ref 7624 remove betaConv appThm 129 ref 7595 ref 7333 ref appTerm appTerm 7582 ref appTerm refl appThm trans 7623 remove refl 7334 remove assume 7625 def appThm eqMp sym 439 ref nil 1003 ref 7331 ref nil cons cons nil cons 7626 def nil cons cons 707 ref 129 ref 7595 ref 7325 ref 1011 ref appTerm 7627 def 708 ref appTerm appTerm 7628 def appTerm 7580 ref 1011 ref appTerm 7629 def 708 ref appTerm 7630 def appTerm 7631 def absTerm 7632 def 708 ref appTerm 7633 def betaConv 1003 ref 17 ref 7632 ref appTerm 7634 def absTerm 7635 def 1011 ref appTerm 7636 def betaConv 603 ref 1003 ref 603 ref 707 ref 7631 remove assume sym 129 ref 7630 ref appTerm 7628 remove appTerm 7637 def assume sym deductAntisym absThm appThm absThm appThm nil 17 ref 1003 ref 17 ref 707 ref 7637 remove absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 17 ref 7635 ref appTerm nil cons cons 400 ref 7636 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7635 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7634 remove nil cons cons 400 ref 7633 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7632 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 7638 def subst appThm 7582 ref refl 7639 def appThm sym 7590 ref 42 ref 129 ref 7580 ref 7331 ref appTerm 708 ref appTerm 7640 def appTerm 7641 def 7591 ref appTerm appTerm 7593 remove appTerm absTerm 7642 def 7580 ref 7326 ref 7331 remove appTerm 7329 ref appTerm appTerm 708 ref appTerm 7643 def appTerm betaConv sym 439 ref 7580 ref refl 7644 def 3238 ref 7327 ref refl 7645 def nil 1006 ref 1092 ref cons 7646 def nil cons 7647 def nil cons cons 7648 def 4641 ref subst 7649 def appThm appThm 1881 ref refl 7650 def appThm 7651 def appThm 708 ref refl 7652 def appThm 7653 def appThm nil 695 ref 7329 ref nil cons 7654 def cons 7655 def 7626 remove cons nil cons cons 695 ref 129 ref 7580 ref 7326 ref 1011 ref appTerm 7656 def 710 ref appTerm 7657 def appTerm 708 ref appTerm appTerm 42 ref 4349 ref 708 ref appTerm 7658 def 710 ref appTerm appTerm 7630 ref appTerm appTerm absTerm 7659 def 710 ref appTerm 7660 def betaConv 707 ref 17 ref 7659 ref appTerm 7661 def absTerm 7662 def 708 ref appTerm 7663 def betaConv 1003 ref 17 ref 7662 ref appTerm 7664 def absTerm 7665 def 1011 ref appTerm 7666 def betaConv nil 17 ref 7665 ref appTerm 7667 def axiom nil 399 ref 7667 remove nil cons cons 400 ref 7666 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7665 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7664 remove nil cons cons 400 ref 7663 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7662 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7661 remove nil cons cons 400 ref 7660 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7659 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 7668 def subst 625 ref 7658 ref refl 7669 def 7649 ref appThm nil 1003 ref 1092 ref cons 7670 def nil cons 7671 def nil cons cons 7672 def nil 150 ref 4362 ref 1286 ref appTerm 7673 def nil cons cons nil cons nil cons cons 155 ref subst 1003 ref 7673 remove absTerm 7674 def 1011 ref appTerm 7675 def betaConv nil 17 ref 7674 ref appTerm 7676 def axiom nil 399 ref 7676 remove nil cons cons 400 ref 7675 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7674 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 7677 def eqMp 7678 def subst trans appThm 7679 def 7653 remove appThm nil 150 ref 7580 ref 2195 ref 7327 ref 1285 ref 708 ref appTerm 7680 def appTerm appTerm 1881 ref appTerm 7681 def appTerm 708 ref appTerm nil cons 7682 def cons nil cons nil cons cons 633 ref subst trans trans appThm nil 611 ref 7682 remove cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp nil 399 ref 7641 ref 7643 ref appTerm nil cons cons 400 ref 129 ref 7643 ref appTerm 7582 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 439 ref 7644 ref nil 7655 ref 6199 ref 1006 ref 7330 remove nil cons cons nil cons cons cons nil cons cons 695 ref 180 ref 7326 ref 2865 ref appTerm 710 ref appTerm 7683 def appTerm 7326 ref 2195 ref 7326 ref 1009 ref appTerm 710 ref appTerm appTerm 7657 ref appTerm appTerm 710 ref appTerm 7684 def appTerm 7685 def absTerm 7686 def 710 ref appTerm 7687 def betaConv 1003 ref 17 ref 7686 ref appTerm 7688 def absTerm 7689 def 1011 ref appTerm 7690 def betaConv 1006 ref 17 ref 7689 ref appTerm 7691 def absTerm 7692 def 1009 ref appTerm 7693 def betaConv 603 ref 1006 ref 603 ref 1003 ref 603 ref 695 ref 7685 remove assume sym 180 ref 7684 remove appTerm 7683 remove appTerm 7694 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 17 ref 1006 ref 17 ref 1003 ref 17 ref 695 ref 7694 remove absTerm 7695 def appTerm 7696 def absTerm 7697 def appTerm 7698 def absTerm 7699 def appTerm 7700 def axiom 7701 def eqMp nil 399 ref 17 ref 7692 ref appTerm nil cons cons 400 ref 7693 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7692 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7691 remove nil cons cons 400 ref 7690 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7689 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7688 remove nil cons cons 400 ref 7687 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7686 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 7702 def subst appThm 7652 ref appThm appThm 7639 ref appThm sym 439 ref 7644 ref 7326 ref refl 7703 def 3238 ref nil 7655 ref 4360 ref cons nil cons cons 695 ref 180 ref 7326 ref 7657 ref appTerm 710 ref appTerm appTerm 7657 ref appTerm absTerm 7704 def 710 ref appTerm 7705 def betaConv 1003 ref 17 ref 7704 ref appTerm 7706 def absTerm 7707 def 1011 ref appTerm 7708 def betaConv nil 17 ref 7707 ref appTerm 7709 def axiom nil 399 ref 7709 remove nil cons cons 400 ref 7708 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7707 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7706 remove nil cons cons 400 ref 7705 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7704 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 7710 def subst appThm 7326 ref 1881 ref appTerm 7711 def 7329 ref appTerm refl appThm appThm 7329 ref refl 7712 def appThm appThm 7652 ref appThm appThm 7639 ref appThm sym 439 ref 7644 ref nil 6199 ref 7655 ref 4553 ref cons cons nil cons cons 7695 ref 710 ref appTerm 7713 def betaConv 7697 ref 1011 ref appTerm 7714 def betaConv 7699 ref 1009 ref appTerm 7715 def betaConv 7701 remove nil 399 ref 7700 remove nil cons cons 400 ref 7715 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7699 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7698 remove nil cons cons 400 ref 7714 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7697 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7696 remove nil cons cons 400 ref 7713 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7695 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 7716 def subst appThm 7652 ref appThm appThm 7639 ref appThm sym nil 7655 ref 1003 ref 6473 ref cons nil cons cons 7717 def nil cons cons 7718 def 7668 ref subst 7679 ref 7639 remove appThm nil 150 ref 7582 ref nil cons 7719 def cons nil cons nil cons cons 633 ref subst trans trans eqMp eqMp eqMp eqMp eqMp 609 ref 610 ref 7642 ref nil cons cons 611 ref 7643 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 166 ref 423 remove constTerm 7720 def 7642 remove appTerm nil cons cons 400 ref 7641 remove 7582 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil "z" 2 ref var 7721 def 7719 remove cons 7722 def 611 ref 7640 remove nil cons cons nil cons cons nil cons cons 1419 ref 4828 remove subst 7723 def subst eqMp eqMp eqMp eqMp nil 435 ref 7341 remove cons 7724 def 437 ref 7614 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 609 ref 610 ref 7594 ref nil cons cons 611 ref 7596 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 7720 ref 7594 remove appTerm nil cons cons 7588 remove cons nil cons cons 459 ref subst proveHyp nil 7722 remove 7612 remove cons nil cons cons 7723 ref subst eqMp eqMp nil 7578 ref 437 ref 7587 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 7585 ref appTerm nil cons 7725 def cons 7726 def 7044 ref cons nil cons cons 7727 def 459 ref subst nil 160 ref 707 ref 6912 remove 180 ref 7323 remove appTerm 7728 def 7332 remove 7329 ref appTerm 7729 def appTerm 7730 def appTerm 7731 def absTerm 7732 def nil cons cons 7733 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 7731 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7340 ref 400 ref 7730 remove nil cons 7734 def cons nil cons 7735 def cons nil cons cons 7736 def 416 ref subst 7736 remove 467 ref subst "y'" 14 ref var 7737 def 42 ref 7728 ref 7737 ref varTerm 7738 def appTerm appTerm 180 ref 7738 ref appTerm 7739 def 7729 ref appTerm appTerm absTerm 7740 def "Number.Natural.Bits.tail" const 184 remove constTerm 7741 def 7324 ref appTerm 7742 def appTerm betaConv sym 7728 ref refl 7600 remove 38 ref 180 ref 7741 ref 7603 ref appTerm appTerm 47 ref appTerm absTerm 7743 def 47 ref appTerm 7744 def betaConv 7598 ref 17 ref 7743 ref appTerm 7745 def absTerm 7746 def 7601 ref appTerm 7747 def betaConv nil 607 ref 7746 ref appTerm 7748 def axiom nil 399 ref 7748 remove nil cons cons 400 ref 7747 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 7746 remove nil cons cons 7610 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7745 remove nil cons cons 400 ref 7744 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7743 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 7749 def subst appThm nil 475 ref 7597 remove cons nil cons 7750 def nil cons cons 1281 ref subst trans sym 154 ref eqMp nil 399 ref 7728 remove 7742 ref appTerm nil cons cons 400 ref 180 ref 7742 ref appTerm 7729 ref appTerm 7751 def nil cons 7752 def cons nil cons 7753 def cons nil cons cons 467 ref subst proveHyp 7617 remove nil 7618 remove 7753 ref cons nil cons cons 459 ref subst proveHyp 7619 remove 7751 remove refl appThm sym nil 7620 remove 7753 remove cons nil cons cons 7754 def 416 ref subst 7754 remove 467 ref subst 129 ref "_47713" 14 ref var 7755 def 180 ref 7741 ref 7755 remove varTerm appTerm appTerm 7729 ref appTerm absTerm 7756 def 7324 remove appTerm 7757 def appTerm refl 7756 ref 7333 ref appTerm betaConv appThm 439 ref 7757 remove betaConv appThm 180 ref 7741 ref 7333 remove appTerm appTerm 7729 ref appTerm refl appThm trans 7756 remove refl 7625 remove appThm eqMp sym 1131 ref 7741 ref refl 7758 def 7325 ref refl 7759 def 7651 remove appThm 7760 def 7652 ref appThm appThm appThm 7760 remove 7649 ref appThm nil 7434 ref 1003 ref 7681 ref nil cons cons nil cons cons nil cons cons 695 ref 180 ref 7627 ref 1285 ref 710 ref appTerm appTerm appTerm 7741 ref 7627 ref 710 ref appTerm 7761 def appTerm appTerm absTerm 7762 def 710 ref appTerm 7763 def betaConv 1003 ref 17 ref 7762 ref appTerm 7764 def absTerm 7765 def 1011 ref appTerm 7766 def betaConv nil 17 ref 7765 ref appTerm 7767 def axiom nil 399 ref 7767 remove nil cons cons 400 ref 7766 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7765 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7764 remove nil cons cons 400 ref 7763 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7762 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 7768 def subst trans appThm nil 475 ref 7741 ref 7325 ref 7681 remove appTerm 708 ref appTerm appTerm nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp nil 7724 remove 437 ref 7752 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 7740 ref nil cons cons 475 ref 7742 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 7740 remove appTerm nil cons cons 7735 remove cons nil cons cons 459 ref subst proveHyp nil 1876 ref 7729 remove nil cons cons 7750 remove cons nil cons cons 4829 ref subst eqMp eqMp nil 7578 ref 437 ref 7734 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp 7727 ref 416 ref subst 7727 remove 467 ref subst nil 160 ref 707 ref 41 ref 709 ref 702 ref appTerm 7769 def appTerm 7770 def 129 ref 44 ref 5115 ref appTerm 7771 def 713 ref 699 ref 700 ref 708 ref appTerm 7772 def appTerm 7773 def appTerm 7774 def appTerm 7775 def appTerm 718 ref appTerm 7776 def appTerm 7777 def absTerm 7778 def nil cons cons 7779 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 7777 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 7769 ref nil cons 7780 def cons 7781 def 400 ref 7776 ref nil cons 7782 def cons nil cons cons nil cons cons 7783 def 416 ref subst 7783 ref 467 ref subst 180 ref 7774 ref appTerm 7784 def refl 7785 def nil 1116 ref 2088 ref cons 7670 ref 1006 ref 622 remove cons nil cons 7786 def cons 7787 def cons nil cons cons 1169 ref subst appThm nil 1116 ref 7328 ref 2087 ref appTerm nil cons cons 1003 ref 7773 ref nil cons cons 7786 ref cons 7788 def cons nil cons cons 1192 ref subst trans sym 180 ref 7773 remove appTerm refl nil 1003 ref 2088 ref cons 7789 def 7647 ref cons nil cons cons 1210 ref subst appThm sym nil 1116 ref 1092 remove cons 7790 def 2082 ref cons nil cons cons 2078 ref subst eqMp eqMp 129 ref "_47715" 14 ref var 7791 def 129 ref 7771 ref 7791 remove varTerm appTerm appTerm 718 ref appTerm absTerm 7792 def 7774 ref appTerm 7793 def appTerm refl 7792 ref 187 ref 714 ref appTerm 7794 def 2087 ref appTerm 7795 def appTerm betaConv appThm 439 ref 7793 remove betaConv appThm 129 ref 7771 ref 7795 ref appTerm 7796 def appTerm 7797 def 718 ref appTerm 7798 def refl 7799 def appThm trans 7792 remove refl 7784 ref 7795 remove appTerm assume appThm eqMp sym 38 ref 41 ref 5116 ref appTerm 7800 def 129 ref 7771 ref 713 ref 2087 ref appTerm 7801 def appTerm appTerm 48 ref appTerm appTerm absTerm 7802 def 714 ref appTerm 7803 def betaConv 3457 ref 17 ref 38 ref 41 ref 5114 remove 3458 ref appTerm appTerm 129 ref 3459 ref 7801 remove appTerm appTerm 48 ref appTerm appTerm absTerm appTerm absTerm 7804 def 5115 ref appTerm 7805 def betaConv 1014 ref 34 ref 3457 ref 17 ref 38 ref 41 ref 5113 remove 1017 ref appTerm 3458 ref appTerm appTerm 3460 ref 48 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 7806 def 2087 remove appTerm 7807 def betaConv 3466 ref 45 ref appTerm 7808 def betaConv 3469 ref nil 3470 ref 400 ref 7808 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3471 ref 461 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 7806 ref appTerm nil cons cons 400 ref 7807 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7806 remove nil cons cons 475 ref 2088 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 7804 ref appTerm nil cons cons 400 ref 7805 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 7804 remove nil cons cons 460 ref 5115 ref nil cons cons nil cons 7809 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 7802 ref appTerm nil cons cons 400 ref 7803 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7802 remove nil cons cons 475 ref 714 ref nil cons 7810 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7800 remove 7797 remove 715 ref appTerm 7811 def appTerm nil cons cons 400 ref 7798 remove nil cons 7812 def cons nil cons 7813 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7271 remove cons nil cons nil cons cons 155 ref subst 5116 remove assume eqMp appThm 7811 ref refl appThm nil 150 ref 7811 ref nil cons 7814 def cons nil cons nil cons cons 614 ref subst trans appThm 7799 remove appThm sym nil 399 ref 7814 ref cons 7813 remove cons nil cons cons 7815 def 416 ref subst 7815 remove 467 ref subst 129 ref "_47717" 2 ref var 7816 def 129 ref 7816 remove varTerm appTerm 718 ref appTerm absTerm 7817 def 7796 remove appTerm 7818 def appTerm refl 7817 ref 715 ref appTerm betaConv appThm 439 ref 7818 remove betaConv appThm 719 ref refl appThm trans 7817 remove refl 7819 def 7811 remove assume appThm eqMp sym 1003 ref 42 ref 709 ref 1011 ref appTerm appTerm 7820 def 4352 ref 703 ref appTerm 7821 def appTerm absTerm 7822 def 702 ref appTerm betaConv sym 625 ref nil 150 ref 7780 ref cons nil cons nil cons cons 155 ref subst 7769 remove assume eqMp appThm nil 1226 remove 1225 remove nil cons cons nil cons cons 4727 ref subst appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 7822 ref nil cons cons 475 ref 1224 ref cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 7822 remove appTerm nil cons cons 400 ref 7339 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 1220 remove cons 7823 def 7647 ref cons nil cons cons 4776 ref subst eqMp 7824 def nil 7340 remove 400 ref 719 ref nil cons 7825 def cons nil cons 7826 def cons nil cons cons 7827 def 459 ref subst proveHyp 7402 remove eqMp eqMp eqMp nil 435 ref 7814 remove cons 437 ref 7812 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 435 ref 7780 ref cons 7828 def 437 ref 7782 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 160 ref 707 ref 7770 remove 129 ref 44 ref 5046 ref appTerm 7829 def 7774 ref appTerm appTerm 7582 ref appTerm 7830 def appTerm 7831 def absTerm 7832 def nil cons cons 7833 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 7831 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7781 remove 400 ref 7830 remove nil cons 7834 def cons nil cons cons nil cons cons 7835 def 416 ref subst 7835 remove 467 ref subst 7785 remove nil 1116 ref 482 remove cons 7836 def 1003 ref 7318 remove nil cons cons 7786 ref cons cons nil cons cons 1169 ref subst 713 ref refl 7837 def nil 7836 ref 7670 ref 1221 ref cons cons nil cons cons 1169 ref subst appThm trans appThm nil 1116 ref 699 ref 7328 ref 61 ref appTerm 7838 def appTerm nil cons cons 7788 ref cons nil cons cons 1192 ref subst nil 1116 ref 7838 remove nil cons cons 1003 ref 7772 remove nil cons 7839 def cons 1221 ref cons 7840 def cons nil cons cons 1192 ref subst trans trans sym nil 7670 ref 1227 ref cons 7841 def nil cons cons 1210 ref subst eqMp 129 ref "_47719" 14 ref var 7842 def 129 ref 7829 ref 7842 remove varTerm appTerm appTerm 7582 ref appTerm absTerm 7843 def 7774 ref appTerm 7844 def appTerm refl 7843 ref 187 ref 7319 ref appTerm 61 ref appTerm 7845 def appTerm betaConv appThm 439 ref 7844 remove betaConv appThm 129 ref 7829 ref 7845 ref appTerm 7846 def appTerm 7847 def 7582 ref appTerm 7848 def refl 7849 def appThm trans 7843 remove refl 7784 remove 7845 remove appTerm assume appThm eqMp sym 38 ref 41 ref 5120 ref 5047 ref appTerm appTerm 7850 def 129 ref 7829 ref 713 ref 61 ref appTerm 7851 def appTerm appTerm 7317 ref 47 ref appTerm 7852 def appTerm appTerm absTerm 7853 def 7319 ref appTerm 7854 def betaConv 3532 ref 17 ref 38 ref 41 ref 5120 ref 5045 remove 3533 ref appTerm appTerm appTerm 129 ref 3547 ref 7851 remove appTerm appTerm 7852 ref appTerm appTerm absTerm appTerm absTerm 7855 def 5046 ref appTerm 7856 def betaConv 707 ref 34 ref 3532 ref 17 ref 38 ref 41 ref 5120 ref 5044 ref 708 ref appTerm 3533 ref appTerm appTerm appTerm 129 ref 3547 ref 714 ref appTerm appTerm 7857 def 7852 ref appTerm 7858 def appTerm absTerm appTerm absTerm appTerm absTerm 7859 def 61 ref appTerm 7860 def betaConv 470 ref 17 ref 707 ref 34 ref 3532 ref 17 ref 38 ref 41 ref 42 ref 5118 remove 653 ref appTerm appTerm 3534 ref appTerm appTerm 7858 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7861 def 4989 ref appTerm 7862 def betaConv 2690 ref 11 ref 470 ref 17 ref 707 ref 34 ref 3532 ref 17 ref 38 ref 41 ref 42 ref 5117 remove 2694 ref appTerm 653 ref appTerm appTerm 3534 ref appTerm appTerm 7857 remove 2842 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7863 def 5111 remove appTerm 7864 def betaConv nil 34 ref 7863 ref appTerm 7865 def axiom nil 399 ref 7865 remove nil cons cons 400 ref 7864 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 7863 remove nil cons cons 460 ref 7436 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 7861 ref appTerm nil cons cons 400 ref 7862 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7861 remove nil cons cons 470 ref 4989 ref nil cons cons nil cons 7866 def cons nil cons cons 469 ref subst eqMp eqMp 7867 def nil 399 ref 17 ref 7859 ref appTerm nil cons cons 7868 def 400 ref 7860 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7859 ref nil cons cons 7869 def 483 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 7855 ref appTerm nil cons cons 400 ref 7856 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 7855 remove nil cons cons 460 ref 5046 ref nil cons cons nil cons 7870 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 7853 ref appTerm nil cons cons 400 ref 7854 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 7853 remove nil cons cons 475 ref 7319 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7850 remove 7847 remove 7320 ref appTerm 7871 def appTerm nil cons cons 400 ref 7848 remove nil cons 7872 def cons nil cons 7873 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 625 ref nil 150 ref 7273 remove cons nil cons nil cons cons 155 ref subst 5119 remove assume eqMp appThm 7874 def nil 150 ref 7217 remove cons nil cons nil cons cons 155 ref subst 5047 remove assume eqMp appThm 634 ref trans appThm 7871 ref refl appThm nil 150 ref 7871 ref nil cons 7875 def cons nil cons nil cons cons 614 ref subst trans appThm 7849 remove appThm sym nil 399 ref 7875 ref cons 7873 remove cons nil cons cons 7876 def 416 ref subst 7876 remove 467 ref subst 129 ref "_47721" 2 ref var 7877 def 129 ref 7877 remove varTerm appTerm 7582 remove appTerm absTerm 7878 def 7846 remove appTerm 7879 def appTerm refl 7878 ref 7320 remove appTerm betaConv appThm 439 ref 7879 remove betaConv appThm 7583 remove refl appThm trans 7878 remove refl 7871 remove assume appThm eqMp sym 7824 remove 7589 remove 459 ref subst proveHyp 7585 remove 708 ref appTerm 7880 def betaConv nil 7726 remove 400 ref 7880 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 7586 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 7881 def eqMp eqMp eqMp nil 435 ref 7875 remove cons 437 ref 7872 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 7828 remove 437 ref 7834 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 160 ref 707 ref 41 ref 709 ref 193 ref appTerm 7882 def appTerm 7883 def 180 ref 7316 ref 44 ref 5125 ref appTerm 7884 def 7774 ref appTerm 7885 def appTerm 187 ref 726 ref 728 ref 4994 ref appTerm 7886 def 7774 ref appTerm appTerm appTerm 2196 ref 726 ref 728 ref 4996 ref appTerm 7887 def 7774 ref appTerm appTerm appTerm appTerm 7888 def appTerm 7889 def appTerm 7325 ref 2195 ref 7326 ref 4861 ref appTerm 7890 def 7329 ref appTerm 7891 def appTerm 710 ref appTerm 7892 def appTerm 708 ref appTerm 7893 def appTerm 7894 def appTerm 7895 def absTerm 7896 def nil cons cons 7897 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 7895 remove nil cons 7898 def cons nil cons nil cons cons 155 ref subst nil 399 ref 7882 ref nil cons 7899 def cons 7900 def 400 ref 7894 ref nil cons 7901 def cons nil cons cons nil cons cons 7902 def 416 ref subst 7902 remove 467 ref subst 1131 ref 7316 ref refl 7903 def 7884 ref refl nil 1116 ref 7839 remove cons 6124 ref 7786 ref cons 7904 def cons nil cons cons 2078 ref subst nil 7790 ref 2081 ref 1006 ref 6145 remove cons nil cons cons 7905 def cons nil cons cons 2078 ref subst trans 7906 def appThm appThm 1368 ref 3190 ref 7886 ref refl 7907 def 7906 ref appThm appThm appThm 2814 ref 3190 ref 7887 ref refl 7908 def 7906 remove appThm appThm appThm appThm appThm appThm 7893 ref refl appThm sym 6 ref 169 ref "xb" 1 ref var 7909 def 172 ref 19 ref 172 ref 20 ref 42 ref 17 ref 7344 ref 7348 ref 42 ref 129 ref 46 ref 187 ref 187 ref 6112 remove appTerm 61 ref appTerm 7910 def appTerm 7911 def 7345 ref appTerm 7912 def appTerm appTerm 7350 ref appTerm appTerm 42 ref 129 ref 44 ref 7909 ref varTerm 7913 def appTerm 7914 def 7912 ref appTerm appTerm 7581 ref 7345 ref appTerm 7915 def appTerm appTerm 41 ref 7915 ref appTerm 7916 def 180 ref 187 ref 726 ref 2233 ref 7912 ref appTerm appTerm appTerm 2196 ref 726 ref 2234 ref 7912 ref appTerm appTerm appTerm 7917 def appTerm appTerm 710 ref appTerm appTerm 7918 def appTerm 7919 def appTerm appTerm absTerm appTerm appTerm 5121 remove 45 ref appTerm 7913 ref appTerm 59 ref appTerm 60 ref appTerm 7920 def 5125 ref appTerm 4994 ref appTerm 4996 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7921 def 5115 ref appTerm betaConv sym 7909 ref 172 ref 19 ref 172 ref 20 ref 42 ref 17 ref 7344 ref 7348 ref 42 ref 129 ref 7771 ref 7912 ref appTerm appTerm 7350 ref appTerm appTerm 7922 def 7919 remove appTerm appTerm absTerm appTerm appTerm 5122 remove 7913 ref appTerm 59 ref appTerm 60 ref appTerm 5125 ref appTerm 4994 ref appTerm 4996 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 7923 def 5046 remove appTerm betaConv sym 19 ref 172 ref 20 ref 42 ref 17 ref 7344 ref 7348 ref 7922 ref 42 ref 129 ref 7829 ref 7912 ref appTerm appTerm 7915 remove appTerm appTerm 7924 def 7918 remove appTerm appTerm appTerm absTerm appTerm appTerm 5123 remove 59 ref appTerm 60 ref appTerm 5125 ref appTerm 4994 ref appTerm 4996 ref appTerm appTerm absTerm appTerm absTerm 7925 def 62 ref appTerm betaConv sym 20 ref 42 ref 17 ref 7344 ref 7348 ref 7922 ref 7924 ref 7916 ref 180 ref 187 ref 726 ref 6924 ref 7912 ref appTerm appTerm appTerm 7926 def 7917 remove appTerm appTerm 710 ref appTerm appTerm appTerm appTerm appTerm absTerm appTerm appTerm 5124 remove 60 ref appTerm 5125 ref appTerm 4994 ref appTerm 4996 ref appTerm appTerm absTerm 7927 def 63 ref appTerm betaConv sym 42 ref 17 ref 7344 ref 7348 ref 7922 remove 7924 remove 7916 remove 180 ref 7926 remove 2196 ref 726 ref 6925 ref 7912 remove appTerm appTerm appTerm appTerm appTerm 710 ref appTerm appTerm appTerm appTerm appTerm absTerm appTerm 7928 def appTerm refl nil 150 ref 7275 remove cons nil cons nil cons cons 155 ref subst 5126 remove assume eqMp appThm nil 150 ref 7928 remove nil cons cons nil cons nil cons cons 1105 ref subst trans sym nil 160 ref 7366 ref 7370 ref 42 ref 129 ref 7771 ref 7911 ref 7367 ref appTerm 7929 def appTerm appTerm 7372 ref appTerm appTerm 42 ref 129 ref 7829 ref 7929 ref appTerm appTerm 7581 ref 7367 ref appTerm 7930 def appTerm appTerm 41 ref 7930 ref appTerm 7931 def 180 ref 187 ref 726 ref 6924 ref 7929 ref appTerm appTerm appTerm 2196 ref 726 ref 6925 ref 7929 remove appTerm appTerm appTerm appTerm appTerm 710 ref appTerm appTerm appTerm appTerm 7932 def appTerm 7933 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 7366 ref nil 150 ref 7933 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7376 ref 400 ref 7932 ref nil cons 7934 def cons nil cons 7935 def cons nil cons cons 7936 def 416 ref subst 7936 remove 467 ref subst 7382 remove 193 ref appTerm 7937 def betaConv 7390 remove nil 7391 remove 400 ref 7937 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7392 remove 475 ref 1230 ref cons nil cons 7938 def cons nil cons cons 469 ref subst eqMp eqMp 7939 def nil 399 ref 41 ref 7380 ref 7882 ref appTerm appTerm 7368 ref 193 ref appTerm 7940 def appTerm nil cons cons 7941 def 7935 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 7395 ref nil 150 ref 7899 ref cons nil cons nil cons cons 155 ref subst 7882 ref assume eqMp 7942 def appThm 634 ref trans 7943 def appThm 7940 ref refl appThm nil 150 ref 7940 ref nil cons 7944 def cons nil cons nil cons cons 7945 def 614 ref subst trans appThm 7946 def 7932 remove refl appThm sym nil 399 ref 7944 ref cons 7947 def 7935 remove cons nil cons cons 7948 def 416 ref subst 7948 remove 467 ref subst 625 ref 439 ref 7771 ref refl nil 1116 ref 7388 ref cons 7949 def 7905 ref cons nil cons cons 1169 ref subst nil 1116 ref 700 ref 7367 ref appTerm 7950 def nil cons 7951 def cons 7952 def 7904 ref cons nil cons cons 1169 ref subst trans 7953 def appThm appThm 7372 ref refl 7954 def appThm appThm 625 ref 439 ref 7829 ref refl 7953 ref appThm appThm 7930 ref refl appThm appThm 7931 ref refl 1131 ref 1368 ref 3190 ref 6924 ref refl 7955 def 7953 ref appThm appThm appThm 2814 ref 3190 ref 6925 ref refl 7956 def 7953 remove appThm appThm appThm appThm appThm 6340 ref appThm appThm appThm appThm sym 1003 ref 7384 ref 4352 ref 702 ref appTerm 7957 def appTerm absTerm 7958 def 193 ref appTerm betaConv sym 625 ref 7945 remove 155 ref subst 7940 remove assume eqMp 7959 def appThm 698 ref 193 ref appTerm 7960 def 702 ref appTerm 7961 def refl 7962 def appThm nil 150 ref 7961 remove nil cons cons nil cons nil cons cons 633 ref subst 7963 def trans sym nil 1232 remove 3213 ref cons nil cons cons 4727 ref subst sym 154 ref eqMp 7964 def eqMp eqMp 162 ref 160 ref 7958 ref nil cons cons 7938 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 7958 remove appTerm nil cons cons 400 ref 7368 remove 702 remove appTerm nil cons 7965 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 1224 remove cons 7966 def 7429 ref cons nil cons cons 4776 ref subst eqMp 7967 def nil 399 ref 7965 remove cons 7968 def 400 ref 129 ref 7771 ref 713 ref 699 ref 7950 remove appTerm 7969 def appTerm 7970 def appTerm appTerm 7372 ref appTerm nil cons 7971 def cons nil cons cons nil cons cons 459 ref subst proveHyp 7398 ref 7778 ref 708 ref appTerm 7972 def betaConv nil 399 ref 17 ref 7778 remove appTerm nil cons cons 400 ref 7972 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 7779 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 7973 def subst eqMp nil 399 ref 7971 remove cons 400 ref 42 ref 129 ref 7829 remove 7970 ref appTerm appTerm 7930 ref appTerm 7974 def appTerm 7931 remove 180 ref 187 ref 726 ref 6924 ref 7970 ref appTerm appTerm appTerm 2196 ref 726 ref 6925 ref 7970 remove appTerm appTerm appTerm appTerm appTerm 710 ref appTerm 7975 def appTerm 7976 def appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 7967 remove nil 7968 remove 400 ref 7974 remove nil cons 7977 def cons nil cons cons nil cons cons 459 ref subst proveHyp 7398 ref 7832 ref 708 ref appTerm 7978 def betaConv nil 399 ref 17 ref 7832 remove appTerm nil cons cons 400 ref 7978 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 7833 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp nil 399 ref 7977 remove cons 400 ref 7976 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 7930 remove nil cons 7979 def cons 400 ref 7975 remove nil cons 7980 def cons nil cons 7981 def cons nil cons cons 7982 def 416 ref subst 7982 remove 467 ref subst 625 ref nil 7952 remove 2082 ref cons nil cons cons 6045 ref subst nil 1003 ref 7388 remove cons 7983 def 1227 ref cons 7984 def nil cons cons 6133 ref subst trans appThm nil 1116 ref 6919 remove nil cons 7985 def cons 1003 ref 7951 remove cons 1221 ref cons cons nil cons cons 6045 ref subst nil 1116 ref 1230 remove cons 7986 def 7984 remove cons nil cons cons 6045 ref subst 7959 ref trans trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 6917 remove 7969 ref appTerm appTerm 698 ref 7969 ref appTerm 6920 ref appTerm appTerm nil cons cons 7981 remove cons nil cons cons 459 ref subst proveHyp nil 707 ref 7969 remove nil cons cons nil cons nil cons cons 6927 ref 708 ref appTerm 7987 def betaConv nil 399 ref 7056 remove cons 400 ref 7987 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 6927 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 7988 def subst eqMp eqMp nil 435 ref 7979 remove cons 437 ref 7980 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 7944 ref cons 7989 def 437 ref 7934 remove cons nil cons 7990 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 7403 ref 7990 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 158 ref 156 ref 7927 remove nil cons cons 485 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 7925 remove nil cons cons 484 ref cons nil cons cons 3525 ref subst proveHyp eqMp 126 ref 5 ref 7923 remove nil cons cons 7870 remove cons nil cons cons 3525 ref subst proveHyp eqMp 126 ref 5 ref 7921 ref nil cons cons 7809 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 169 ref 7921 remove appTerm nil cons cons 400 ref 180 ref 7316 ref 7884 ref 7911 ref 708 ref appTerm 7991 def appTerm appTerm 187 ref 726 ref 7886 ref 7991 ref appTerm appTerm appTerm 2196 ref 726 ref 7887 ref 7991 remove appTerm appTerm appTerm appTerm appTerm appTerm 7893 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1878 ref 1089 ref cons 475 ref 6473 remove cons 7992 def 37 ref 4996 ref nil cons 7993 def cons 36 ref 4994 ref nil cons 7994 def cons 7434 ref 38 ref 7910 remove nil cons 7995 def cons 7435 ref 5125 ref nil cons 7996 def cons nil cons cons cons cons cons cons cons nil cons cons 695 ref 41 ref 169 ref 6 ref 169 ref 7909 ref 172 ref 19 ref 172 ref 20 ref 42 ref 17 ref 707 ref 712 ref 42 ref 719 ref appTerm 42 ref 129 ref 7914 ref 714 ref appTerm appTerm 7580 ref 689 ref appTerm 708 ref appTerm 7997 def appTerm appTerm 41 ref 7997 remove appTerm 4846 remove appTerm appTerm appTerm appTerm absTerm appTerm appTerm 7920 ref 7442 ref appTerm 74 ref appTerm 75 ref appTerm appTerm 7998 def absTerm 7999 def appTerm 8000 def absTerm 8001 def appTerm 8002 def absTerm 8003 def appTerm 8004 def absTerm 8005 def appTerm 8006 def appTerm 8007 def 180 ref 7316 ref 7455 remove 745 ref appTerm appTerm 187 ref 726 ref 6951 ref 745 ref appTerm appTerm appTerm 2196 ref 726 ref 6954 ref 745 ref appTerm appTerm appTerm appTerm appTerm appTerm 7457 remove appTerm 8008 def appTerm 8009 def absTerm 8010 def 710 ref appTerm 8011 def betaConv 1878 ref 17 ref 8010 ref appTerm 8012 def absTerm 8013 def 1881 ref appTerm 8014 def betaConv 475 ref 17 ref 8013 ref appTerm 8015 def absTerm 8016 def 689 ref appTerm 8017 def betaConv 38 ref 17 ref 8016 ref appTerm 8018 def absTerm 8019 def 47 ref appTerm 8020 def betaConv 37 ref 17 ref 8019 ref appTerm 8021 def absTerm 8022 def 75 ref appTerm 8023 def betaConv 36 ref 11 ref 8022 ref appTerm 8024 def absTerm 8025 def 74 ref appTerm 8026 def betaConv 7435 ref 11 ref 8025 ref appTerm 8027 def absTerm 8028 def 7442 ref appTerm 8029 def betaConv nil 17 ref 475 ref 17 ref 1878 ref 34 ref 6 ref 34 ref 7909 ref 11 ref 19 ref 11 ref 20 ref 34 ref 7435 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 17 ref 695 ref 41 ref 7998 ref appTerm 8008 ref appTerm absTerm 8030 def appTerm 8031 def absTerm 8032 def appTerm 8033 def absTerm 8034 def appTerm 8035 def absTerm 8036 def appTerm 8037 def absTerm 8038 def appTerm 8039 def absTerm 8040 def appTerm 8041 def absTerm 8042 def appTerm 8043 def absTerm 8044 def appTerm 8045 def absTerm 8046 def appTerm 8047 def absTerm 8048 def appTerm 8049 def absTerm 8050 def appTerm 8051 def axiom nil 399 ref 8051 ref nil cons 8052 def cons 8053 def 400 ref 34 ref 8028 ref appTerm nil cons 8054 def cons nil cons cons nil cons cons 8055 def 459 ref subst proveHyp 8055 ref 416 ref subst 8055 remove 467 ref subst nil 5 ref 8028 remove nil cons cons 8056 def nil cons nil cons cons 149 ref subst 7435 ref nil 150 ref 8027 remove nil cons 8057 def cons nil cons nil cons cons 155 ref subst nil 156 ref 8025 remove nil cons cons 8058 def nil cons nil cons cons 159 ref subst 36 ref nil 150 ref 8024 remove nil cons 8059 def cons nil cons nil cons cons 155 ref subst nil 156 ref 8022 remove nil cons cons 8060 def nil cons nil cons cons 159 ref subst 37 ref nil 150 ref 8021 remove nil cons 8061 def cons nil cons nil cons cons 155 ref subst nil 160 ref 8019 remove nil cons cons 8062 def nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 8018 remove nil cons 8063 def cons nil cons nil cons cons 155 ref subst nil 160 ref 8016 remove nil cons cons 8064 def nil cons nil cons cons 164 ref subst 475 ref nil 150 ref 8015 remove nil cons 8065 def cons nil cons nil cons cons 155 ref subst nil 160 ref 8013 remove nil cons cons 8066 def nil cons nil cons cons 164 ref subst 1878 ref nil 150 ref 8012 remove nil cons 8067 def cons nil cons nil cons cons 155 ref subst nil 160 ref 8010 remove nil cons cons 8068 def nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 8009 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 8006 remove nil cons 8069 def cons 8070 def 400 ref 8008 ref nil cons 8071 def cons nil cons 8072 def cons nil cons cons 8073 def 416 ref subst 8073 remove 467 ref subst nil 8053 ref 8072 ref cons nil cons cons 8074 def 459 ref subst nil 8070 remove 400 ref 41 ref 8051 remove appTerm 8008 remove appTerm 8075 def nil cons 8076 def cons nil cons 8077 def cons nil cons cons 459 ref subst nil 5 ref 6 ref 41 ref 8005 ref 45 ref appTerm 8078 def appTerm 8075 ref appTerm 8079 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 6 ref nil 150 ref 8079 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 8078 ref nil cons 8080 def cons 8077 ref cons nil cons cons 8081 def 416 ref subst 8081 remove 467 ref subst 8078 ref betaConv 8078 remove assume eqMp nil 399 ref 8004 ref nil cons cons 8077 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 7909 ref 41 ref 8003 ref 7913 ref appTerm 8082 def appTerm 8075 ref appTerm 8083 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 7909 ref nil 150 ref 8083 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 8082 ref nil cons 8084 def cons 8077 ref cons nil cons cons 8085 def 416 ref subst 8085 remove 467 ref subst 8082 ref betaConv 8082 remove assume eqMp nil 399 ref 8002 ref nil cons cons 8077 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 19 ref 41 ref 8001 ref 59 ref appTerm 8086 def appTerm 8075 ref appTerm 8087 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 8087 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 8086 ref nil cons 8088 def cons 8077 ref cons nil cons cons 8089 def 416 ref subst 8089 remove 467 ref subst 8086 ref betaConv 8086 remove assume eqMp nil 399 ref 8000 ref nil cons cons 8077 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 20 ref 41 ref 7999 ref 60 ref appTerm 8090 def appTerm 8075 ref appTerm 8091 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 8091 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 8090 ref nil cons 8092 def cons 8077 ref cons nil cons cons 8093 def 416 ref subst 8093 remove 467 ref subst 8090 ref betaConv 8090 remove assume eqMp nil 399 ref 7998 remove nil cons 8094 def cons 8095 def 8077 remove cons nil cons cons 8096 def 459 ref subst proveHyp 8096 ref 416 ref subst 8096 remove 467 ref subst 8074 ref 416 ref subst 8074 remove 467 ref subst nil 8095 remove 8072 remove cons nil cons cons 459 ref subst 8030 ref 710 ref appTerm 8097 def betaConv 8032 ref 47 ref appTerm 8098 def betaConv 8034 ref 75 ref appTerm 8099 def betaConv 8036 ref 74 ref appTerm 8100 def betaConv 8038 ref 7442 remove appTerm 8101 def betaConv 8040 ref 60 ref appTerm 8102 def betaConv 8042 ref 59 ref appTerm 8103 def betaConv 8044 ref 7913 ref appTerm 8104 def betaConv 8046 ref 45 ref appTerm 8105 def betaConv 8048 ref 1881 ref appTerm 8106 def betaConv 8050 ref 689 ref appTerm 8107 def betaConv nil 8053 remove 400 ref 8107 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 8050 remove nil cons cons 4382 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8049 remove nil cons cons 400 ref 8106 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8048 remove nil cons cons 7573 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8047 remove nil cons cons 400 ref 8105 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8046 remove nil cons cons 461 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8045 remove nil cons cons 400 ref 8104 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8044 remove nil cons cons 460 ref 7913 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8043 remove nil cons cons 400 ref 8103 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8042 remove nil cons cons 479 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8041 remove nil cons cons 400 ref 8102 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8040 remove nil cons cons 481 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8039 remove nil cons cons 400 ref 8101 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8038 remove nil cons cons 7574 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8037 remove nil cons cons 400 ref 8100 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8036 remove nil cons cons 501 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8035 remove nil cons cons 400 ref 8099 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8034 remove nil cons cons 504 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8033 remove nil cons cons 400 ref 8098 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8032 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8031 remove nil cons cons 400 ref 8097 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8030 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 8052 remove cons 8108 def 437 ref 8071 remove cons nil cons 8109 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 8094 remove cons 437 ref 8076 remove cons nil cons 8110 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 8092 remove cons 8110 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 7999 ref 653 ref appTerm appTerm 8075 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 8000 remove appTerm 8075 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 7999 remove nil cons cons 8110 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 8088 remove cons 8110 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 8001 ref 653 ref appTerm appTerm 8075 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 8002 remove appTerm 8075 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8001 remove nil cons cons 8110 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 8084 remove cons 8110 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 8003 ref 589 ref appTerm appTerm 8075 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 8004 remove appTerm 8075 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8003 remove nil cons cons 8110 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 8080 remove cons 8110 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 8005 ref 589 ref appTerm appTerm 8075 ref appTerm absTerm appTerm nil cons cons 400 ref 8007 remove 8075 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8005 remove nil cons cons 8110 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 8069 remove cons 8109 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 8108 remove 437 ref 8054 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 8054 remove cons 400 ref 8029 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 8056 remove 7574 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8057 remove cons 400 ref 8026 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 8058 remove 501 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8059 remove cons 400 ref 8023 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 8060 remove 504 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8061 remove cons 400 ref 8020 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 8062 remove 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8063 remove cons 400 ref 8017 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 8064 remove 4382 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8065 remove cons 400 ref 8014 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 8066 remove 7573 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8067 remove cons 400 ref 8011 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 8068 remove 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 8111 def subst eqMp eqMp eqMp nil 435 ref 7899 remove cons 8112 def 437 ref 7901 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 160 ref 707 ref 7883 ref 129 ref 7885 ref appTerm 8113 def 7580 ref 4860 ref 2195 ref 1881 ref appTerm 8114 def 710 ref appTerm appTerm 8115 def appTerm 8116 def 708 ref appTerm 8117 def appTerm 8118 def appTerm 8119 def absTerm 8120 def nil cons cons 8121 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 8119 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7900 ref 400 ref 8118 ref nil cons 8122 def cons nil cons 8123 def cons nil cons cons 8124 def 416 ref subst 8124 ref 467 ref subst 7590 ref 42 ref 8113 ref 7591 ref appTerm appTerm 7592 ref 8117 ref appTerm 8125 def appTerm absTerm 8126 def 7595 ref 7889 ref appTerm 8127 def appTerm betaConv sym 8113 ref refl nil 38 ref 7888 remove nil cons cons 7598 ref 7885 ref nil cons 8128 def cons nil cons cons nil cons cons 7611 ref subst appThm nil 611 ref 8128 remove cons nil cons 8129 def nil cons cons 1420 ref subst trans sym 154 ref eqMp nil 399 ref 8113 remove 8127 ref appTerm nil cons cons 400 ref 129 ref 8127 ref appTerm 8117 ref appTerm 8130 def nil cons 8131 def cons nil cons 8132 def cons nil cons cons 467 ref subst proveHyp 7896 ref 708 ref appTerm 8133 def betaConv nil 399 ref 17 ref 7896 remove appTerm nil cons cons 400 ref 8133 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 7897 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7898 remove cons 8132 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 7942 ref appThm 8134 def 7894 ref refl appThm nil 150 ref 7901 ref cons nil cons nil cons cons 614 ref subst trans appThm 8130 remove refl appThm sym nil 399 ref 7901 ref cons 8132 remove cons nil cons cons 8135 def 416 ref subst 8135 remove 467 ref subst 129 ref "_47723" 14 ref var 8136 def 129 ref 7595 ref 8136 remove varTerm appTerm appTerm 8117 ref appTerm absTerm 8137 def 7889 remove appTerm 8138 def appTerm refl 8137 ref 7893 ref appTerm betaConv appThm 439 ref 8138 remove betaConv appThm 129 ref 7595 ref 7893 remove appTerm appTerm 8117 ref appTerm refl appThm trans 8137 remove refl 7894 remove assume appThm eqMp sym 439 ref nil 1003 ref 7892 ref nil cons cons nil cons 8139 def nil cons cons 7638 ref subst appThm 8117 ref refl 8140 def appThm sym 7590 ref 42 ref 129 ref 7580 ref 7892 ref appTerm 708 ref appTerm 8141 def appTerm 8142 def 7591 ref appTerm appTerm 8125 remove appTerm absTerm 8143 def 7580 ref 7326 ref 7892 remove appTerm 7329 ref appTerm appTerm 708 ref appTerm 8144 def appTerm betaConv sym 439 ref 7644 ref 3238 ref 7890 ref refl 8145 def 7649 ref appThm appThm 6340 ref appThm appThm 7652 ref appThm 8146 def appThm nil 7655 ref 8139 remove cons nil cons cons 7668 ref subst 7679 ref 8146 remove appThm nil 150 ref 7580 ref 2195 ref 7890 ref 7680 ref appTerm appTerm 710 ref appTerm appTerm 708 ref appTerm nil cons 8147 def cons nil cons nil cons cons 633 ref subst trans trans appThm nil 611 ref 8147 remove cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp nil 399 ref 8142 ref 8144 ref appTerm nil cons cons 400 ref 129 ref 8144 ref appTerm 8117 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 439 ref 7644 ref nil 7655 ref 2063 ref 1006 ref 7891 remove nil cons cons nil cons cons cons nil cons cons 7702 ref subst appThm 7652 ref appThm appThm 8140 ref appThm sym 439 ref 7644 ref 7703 ref 3238 ref 7718 remove 7710 ref subst appThm 7326 ref 710 ref appTerm 7329 ref appTerm refl appThm appThm 7712 ref appThm appThm 7652 ref appThm appThm 8140 ref appThm sym 439 ref 7644 ref nil 2063 ref 7655 ref 6474 ref cons cons nil cons cons 7716 ref subst appThm 7652 ref appThm appThm 8140 remove appThm sym 439 ref nil 7655 ref 1003 ref 2195 ref 4861 ref appTerm 8148 def 710 ref appTerm 8149 def nil cons cons nil cons cons nil cons cons 7668 ref subst 7679 ref 7580 ref 8149 ref appTerm 708 ref appTerm 8150 def refl appThm nil 150 ref 8150 remove nil cons 8151 def cons nil cons nil cons cons 633 ref subst trans trans appThm 7644 ref nil 1116 ref 1089 ref cons 6210 ref cons nil cons cons 8152 def 1116 ref 180 ref 2864 ref 6382 ref appTerm 8153 def appTerm 2195 ref 2865 ref appTerm 1117 ref appTerm 8154 def appTerm 8155 def absTerm 8156 def 1117 ref appTerm 8157 def betaConv 1003 ref 17 ref 8156 ref appTerm 8158 def absTerm 8159 def 1011 ref appTerm 8160 def betaConv 1006 ref 17 ref 8159 ref appTerm 8161 def absTerm 8162 def 1009 ref appTerm 8163 def betaConv nil 17 ref 8162 ref appTerm 8164 def axiom 8165 def nil 399 ref 8164 remove nil cons cons 400 ref 8163 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8162 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8161 remove nil cons cons 400 ref 8160 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8159 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8158 remove nil cons cons 400 ref 8157 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8156 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 8166 def subst 8167 def appThm 7652 ref appThm appThm nil 611 ref 8151 remove cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp 609 ref 610 ref 8143 ref nil cons cons 611 ref 8144 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 7720 ref 8143 remove appTerm nil cons cons 400 ref 8142 remove 8117 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 7721 ref 8117 ref nil cons cons 8168 def 611 ref 8141 remove nil cons cons nil cons cons nil cons cons 7723 ref subst eqMp eqMp eqMp eqMp nil 435 ref 7901 remove cons 437 ref 8131 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 609 ref 610 ref 8126 ref nil cons cons 611 ref 8127 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 7720 ref 8126 remove appTerm nil cons cons 8123 remove cons nil cons cons 459 ref subst proveHyp nil 8168 remove 8129 remove cons nil cons cons 7723 ref subst eqMp eqMp nil 8112 ref 437 ref 8122 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 160 ref 707 ref 7883 ref 129 ref 44 ref 5129 ref appTerm 8169 def 713 ref 699 ref 700 ref 701 ref 708 ref appTerm 8170 def appTerm 8171 def appTerm 8172 def appTerm 8173 def appTerm appTerm 718 ref appTerm 8174 def appTerm 8175 def absTerm 8176 def nil cons cons 8177 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 8175 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7900 ref 400 ref 8174 remove nil cons 8178 def cons nil cons cons nil cons cons 8179 def 416 ref subst 8179 remove 467 ref subst 180 ref 8173 ref appTerm 8180 def refl nil 1116 ref 486 remove cons 8181 def 7788 remove cons nil cons cons 1169 ref subst 7837 ref nil 8181 ref 7840 remove cons nil cons cons 1169 ref subst 1223 ref nil 8181 ref 7841 remove cons nil cons cons 1169 ref subst appThm trans appThm trans appThm nil 1116 ref 699 ref 700 ref 7328 ref 64 ref appTerm 8182 def appTerm 8183 def appTerm nil cons cons 1003 ref 8172 remove nil cons cons 7786 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 8183 remove nil cons cons 1003 ref 8171 ref nil cons 8184 def cons 1221 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 8182 remove nil cons cons 1003 ref 8170 remove nil cons 8185 def cons 1227 ref cons 8186 def cons nil cons cons 1192 ref subst trans trans trans sym nil 7670 ref 1233 ref cons 8187 def nil cons cons 1210 ref subst eqMp 8188 def 129 ref "_47725" 14 ref var 8189 def 129 ref 8169 ref 8189 remove varTerm appTerm appTerm 718 ref appTerm absTerm 8190 def 8173 ref appTerm 8191 def appTerm refl 8190 ref 187 ref 7774 ref appTerm 64 ref appTerm 8192 def appTerm betaConv appThm 439 ref 8191 remove betaConv appThm 129 ref 8169 ref 8192 ref appTerm 8193 def appTerm 8194 def 718 ref appTerm 8195 def refl 8196 def appThm trans 8190 remove refl 8180 remove 8192 ref appTerm assume 8197 def appThm eqMp sym 38 ref 41 ref 5130 ref appTerm 8198 def 129 ref 8169 ref 713 ref 64 ref appTerm 8199 def appTerm appTerm 7771 remove 47 ref appTerm 8200 def appTerm appTerm absTerm 8201 def 7774 ref appTerm 8202 def betaConv 3457 ref 17 ref 38 ref 41 ref 5128 remove 3458 ref appTerm appTerm 129 ref 3459 ref 8199 ref appTerm appTerm 8203 def 8200 ref appTerm appTerm absTerm appTerm absTerm 8204 def 5129 ref appTerm 8205 def betaConv 1014 ref 34 ref 3457 ref 17 ref 38 ref 41 ref 5127 remove 1017 ref appTerm 3458 ref appTerm appTerm 3460 ref 8200 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8206 def 64 ref appTerm 8207 def betaConv 3466 ref 5115 remove appTerm 8208 def betaConv 3469 ref nil 3470 ref 400 ref 8208 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3471 ref 7809 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8206 ref appTerm nil cons cons 400 ref 8207 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8206 remove nil cons cons 487 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 8204 ref appTerm nil cons cons 400 ref 8205 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8204 remove nil cons cons 460 ref 5129 ref nil cons cons nil cons 8209 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8201 ref appTerm nil cons cons 400 ref 8202 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8201 remove nil cons cons 475 ref 7774 ref nil cons cons nil cons 8210 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8198 remove 8194 remove 7775 ref appTerm 8211 def appTerm nil cons cons 400 ref 8195 remove nil cons 8212 def cons nil cons 8213 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7277 remove cons nil cons nil cons cons 155 ref subst 5130 remove assume eqMp appThm 8211 ref refl appThm nil 150 ref 8211 ref nil cons 8214 def cons nil cons nil cons cons 614 ref subst trans appThm 8196 remove appThm sym nil 399 ref 8214 ref cons 8213 remove cons nil cons cons 8215 def 416 ref subst 8215 remove 467 ref subst 129 ref "_47727" 2 ref var 8216 def 129 ref 8216 remove varTerm appTerm 718 ref appTerm absTerm 8217 def 8193 remove appTerm 8218 def appTerm refl 8217 remove 7775 remove appTerm betaConv appThm 439 ref 8218 remove betaConv appThm 7776 remove refl appThm trans 7819 remove 8211 remove assume appThm eqMp sym 1003 ref 7820 ref 7957 remove appTerm absTerm 8219 def 193 ref appTerm betaConv sym 625 ref 7942 ref appThm 7962 remove appThm 7963 remove trans sym 7964 remove eqMp eqMp 162 ref 160 ref 8219 ref nil cons cons 7938 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 8219 remove appTerm nil cons cons 400 ref 7780 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 7966 ref 7647 ref cons nil cons cons 4776 ref subst eqMp 7783 remove 459 ref subst proveHyp 7973 remove eqMp eqMp eqMp nil 435 ref 8214 remove cons 437 ref 8212 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 8112 ref 437 ref 8178 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 160 ref 707 ref 7883 ref 129 ref 44 ref 5133 ref appTerm 8220 def 8173 ref appTerm appTerm 8117 ref appTerm 8221 def appTerm 8222 def absTerm 8223 def nil cons cons 8224 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 8222 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7900 ref 400 ref 8221 remove nil cons 8225 def cons nil cons cons nil cons cons 8226 def 416 ref subst 8226 remove 467 ref subst 8188 remove 129 ref "_47729" 14 ref var 8227 def 129 ref 8220 ref 8227 remove varTerm appTerm appTerm 8117 ref appTerm absTerm 8228 def 8173 ref appTerm 8229 def appTerm refl 8228 ref 8192 ref appTerm betaConv appThm 439 ref 8229 remove betaConv appThm 129 ref 8220 ref 8192 remove appTerm 8230 def appTerm 8231 def 8117 ref appTerm 8232 def refl 8233 def appThm trans 8228 remove refl 8197 remove appThm eqMp sym 38 ref 41 ref 5134 ref appTerm 8234 def 129 ref 8220 ref 8199 remove appTerm appTerm 7884 remove 47 ref appTerm 8235 def appTerm appTerm absTerm 8236 def 7774 remove appTerm 8237 def betaConv 3457 ref 17 ref 38 ref 41 ref 5132 remove 3458 ref appTerm appTerm 8203 remove 8235 ref appTerm appTerm absTerm appTerm absTerm 8238 def 5133 ref appTerm 8239 def betaConv 1014 ref 34 ref 3457 ref 17 ref 38 ref 41 ref 5131 remove 1017 ref appTerm 3458 ref appTerm appTerm 3460 ref 8235 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8240 def 64 ref appTerm 8241 def betaConv 3466 ref 5125 remove appTerm 8242 def betaConv 3469 ref nil 3470 ref 400 ref 8242 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3471 ref 460 ref 7996 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8240 ref appTerm nil cons cons 400 ref 8241 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8240 remove nil cons cons 487 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 8238 ref appTerm nil cons cons 400 ref 8239 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8238 remove nil cons cons 460 ref 5133 ref nil cons cons nil cons 8243 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8236 ref appTerm nil cons cons 400 ref 8237 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8236 remove nil cons cons 8210 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8234 remove 8231 remove 7885 ref appTerm 8244 def appTerm nil cons cons 400 ref 8232 remove nil cons 8245 def cons nil cons 8246 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7279 remove cons nil cons nil cons cons 155 ref subst 5134 remove assume eqMp appThm 8244 ref refl appThm nil 150 ref 8244 ref nil cons 8247 def cons nil cons nil cons cons 614 ref subst trans appThm 8233 remove appThm sym nil 399 ref 8247 ref cons 8246 remove cons nil cons cons 8248 def 416 ref subst 8248 remove 467 ref subst 129 ref "_47731" 2 ref var 8249 def 129 ref 8249 remove varTerm appTerm 8117 remove appTerm absTerm 8250 def 8230 remove appTerm 8251 def appTerm refl 8250 ref 7885 remove appTerm betaConv appThm 439 ref 8251 remove betaConv appThm 8118 remove refl appThm trans 8250 remove refl 8244 remove assume appThm eqMp sym 8124 remove 459 ref subst 8120 ref 708 ref appTerm 8252 def betaConv nil 399 ref 17 ref 8120 remove appTerm nil cons cons 400 ref 8252 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 8121 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp eqMp nil 435 ref 8247 remove cons 437 ref 8245 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 8112 ref 437 ref 8225 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 160 ref 707 ref 7883 ref 180 ref 7316 ref 44 ref 5138 ref appTerm 8253 def 8173 ref appTerm 8254 def appTerm 187 ref 726 ref 728 ref 4998 ref appTerm 8255 def 8173 ref appTerm appTerm 8256 def appTerm 8257 def 2196 ref 726 ref 728 ref 5000 ref appTerm 8258 def 8173 ref appTerm appTerm appTerm 8259 def appTerm 8260 def appTerm 8261 def appTerm 7325 ref 2195 ref 7326 ref 8115 ref appTerm 8262 def 7329 ref appTerm 8263 def appTerm 1011 ref appTerm 8264 def appTerm 8265 def 708 ref appTerm 8266 def appTerm 8267 def appTerm 8268 def absTerm 8269 def nil cons cons 8270 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 8268 remove nil cons 8271 def cons nil cons nil cons cons 155 ref subst nil 7900 ref 400 ref 8267 ref nil cons 8272 def cons nil cons cons nil cons cons 8273 def 416 ref subst 8273 remove 467 ref subst 1131 ref 7903 remove 8253 ref refl 8274 def nil 1116 ref 8184 ref cons 7904 ref cons nil cons cons 2078 ref subst nil 1116 ref 8185 remove cons 7905 ref cons nil cons cons 2078 ref subst nil 7790 ref 2086 ref 1006 ref 7995 remove cons nil cons cons 8275 def cons nil cons cons 2078 ref subst trans trans 8276 def appThm appThm 1368 ref 3190 ref 8255 ref refl 8277 def 8276 ref appThm appThm appThm 2814 ref 3190 ref 8258 ref refl 8278 def 8276 remove appThm appThm appThm appThm appThm appThm 8266 ref refl appThm sym 6 ref 169 ref 7909 ref 172 ref 19 ref 172 ref 20 ref 42 ref 17 ref 7344 ref 7348 ref 42 ref 129 ref 46 ref 187 ref 7911 remove 64 ref appTerm 8279 def appTerm 8280 def 7345 ref appTerm 8281 def appTerm appTerm 7350 ref appTerm appTerm 42 ref 129 ref 7914 remove 8281 ref appTerm appTerm 8116 ref 7345 ref appTerm 8282 def appTerm appTerm 41 ref 8282 ref appTerm 8283 def 180 ref 187 ref 726 ref 2233 ref 8281 ref appTerm appTerm appTerm 2196 ref 726 ref 2234 ref 8281 ref appTerm appTerm appTerm 8284 def appTerm appTerm 1011 ref appTerm appTerm 8285 def appTerm 8286 def appTerm appTerm absTerm appTerm appTerm 7920 remove 5138 ref appTerm 4998 ref appTerm 5000 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8287 def 5129 ref appTerm betaConv sym 7909 remove 172 ref 19 ref 172 ref 20 ref 42 ref 17 ref 7344 ref 7348 ref 42 ref 129 ref 8169 ref 8281 ref appTerm appTerm 7350 ref appTerm appTerm 8288 def 8286 remove appTerm appTerm absTerm appTerm appTerm 5135 remove 7913 remove appTerm 59 ref appTerm 60 ref appTerm 5138 ref appTerm 4998 ref appTerm 5000 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8289 def 5133 remove appTerm betaConv sym 19 ref 172 ref 20 ref 42 ref 17 ref 7344 ref 7348 ref 8288 ref 42 ref 129 ref 8220 ref 8281 ref appTerm appTerm 8282 remove appTerm appTerm 8290 def 8285 remove appTerm appTerm appTerm absTerm appTerm appTerm 5136 remove 59 ref appTerm 60 ref appTerm 5138 ref appTerm 4998 ref appTerm 5000 ref appTerm appTerm absTerm appTerm absTerm 8291 def 65 ref appTerm betaConv sym 20 ref 42 ref 17 ref 7344 ref 7348 ref 8288 ref 8290 ref 8283 ref 180 ref 187 ref 726 ref 6936 ref 8281 ref appTerm appTerm appTerm 8292 def 8284 remove appTerm appTerm 1011 ref appTerm appTerm appTerm appTerm appTerm absTerm appTerm appTerm 5137 remove 60 ref appTerm 5138 ref appTerm 4998 ref appTerm 5000 ref appTerm appTerm absTerm 8293 def 66 ref appTerm betaConv sym 42 ref 17 ref 7344 ref 7348 ref 8288 remove 8290 remove 8283 remove 180 ref 8292 remove 2196 ref 726 ref 6937 ref 8281 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm appTerm appTerm appTerm absTerm appTerm 8294 def appTerm refl nil 150 ref 7281 remove cons nil cons nil cons cons 155 ref subst 5139 remove assume eqMp appThm nil 150 ref 8294 remove nil cons cons nil cons nil cons cons 1105 ref subst trans sym nil 160 ref 7366 ref 7370 ref 42 ref 129 ref 8169 ref 8280 ref 7367 ref appTerm 8295 def appTerm appTerm 7372 ref appTerm appTerm 42 ref 129 ref 8220 ref 8295 ref appTerm appTerm 8116 remove 7367 ref appTerm 8296 def appTerm appTerm 41 ref 8296 ref appTerm 8297 def 180 ref 187 ref 726 ref 6936 ref 8295 ref appTerm appTerm appTerm 2196 ref 726 ref 6937 ref 8295 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm appTerm appTerm 8298 def appTerm 8299 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 7366 ref nil 150 ref 8299 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7376 ref 400 ref 8298 ref nil cons 8300 def cons nil cons 8301 def cons nil cons cons 8302 def 416 ref subst 8302 remove 467 ref subst 7939 remove nil 7941 remove 8301 ref cons nil cons cons 459 ref subst proveHyp 7946 remove 8298 remove refl appThm sym nil 7947 ref 8301 remove cons nil cons cons 8303 def 416 ref subst 8303 remove 467 ref subst 625 ref 439 ref 8169 ref refl 8304 def nil 7949 remove 8275 ref cons nil cons cons 1169 ref subst nil 1116 ref 701 ref 7367 ref appTerm 8305 def nil cons 8306 def cons 8307 def 7905 ref cons nil cons cons 1169 ref subst nil 1116 ref 700 ref 8305 remove appTerm 8308 def nil cons 8309 def cons 8310 def 7904 ref cons nil cons cons 1169 ref subst trans trans 8311 def appThm appThm 7954 remove appThm appThm 625 ref 439 ref 8220 ref refl 8311 ref appThm appThm 8296 ref refl appThm appThm 8297 ref refl 1131 ref 1368 ref 3190 ref 6936 ref refl 8312 def 8311 ref appThm appThm appThm 2814 ref 3190 ref 6937 ref refl 8313 def 8311 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm appThm appThm sym nil 7947 ref 400 ref 129 ref 8169 ref 713 ref 699 ref 8308 remove appTerm 8314 def appTerm 8315 def appTerm appTerm 7372 remove appTerm 8316 def nil cons 8317 def cons nil cons 8318 def cons nil cons cons 459 ref subst 8319 def 7398 ref 8176 ref 708 ref appTerm 8320 def betaConv nil 399 ref 17 ref 8176 remove appTerm nil cons cons 400 ref 8320 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 8177 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp subst 8321 def eqMp nil 399 ref 8317 ref cons 400 ref 42 ref 129 ref 8220 remove 8315 ref appTerm appTerm 8296 ref appTerm 8322 def appTerm 8297 remove 180 ref 187 ref 726 ref 6936 ref 8315 ref appTerm appTerm appTerm 2196 ref 726 ref 6937 ref 8315 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm 8323 def appTerm 8324 def appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 7947 ref 400 ref 8322 remove nil cons 8325 def cons nil cons cons nil cons cons 459 ref subst 7398 ref 8223 ref 708 ref appTerm 8326 def betaConv nil 399 ref 17 ref 8223 remove appTerm nil cons cons 400 ref 8326 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 8224 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp nil 399 ref 8325 remove cons 400 ref 8324 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 8296 remove nil cons 8327 def cons 400 ref 8323 remove nil cons 8328 def cons nil cons 8329 def cons nil cons cons 8330 def 416 ref subst 8330 remove 467 ref subst 625 ref nil 8310 remove 1003 ref 5027 ref nil cons 8331 def cons 8332 def 1221 ref cons 8333 def cons nil cons cons 6045 ref subst nil 8307 remove 2086 ref 1227 ref cons 8334 def cons nil cons cons 6045 ref subst nil 7983 ref 1233 ref cons 8335 def nil cons cons 6133 ref subst trans trans appThm nil 7823 ref 1003 ref 8309 remove cons 1221 ref cons cons nil cons cons 6045 ref subst nil 7966 ref 1003 ref 8306 remove cons 1227 ref cons cons nil cons cons 6045 ref subst nil 7986 ref 8335 remove cons nil cons cons 6045 ref subst 7959 remove trans trans trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 6931 remove 8314 ref appTerm appTerm 698 ref 8314 ref appTerm 704 ref appTerm appTerm nil cons cons 8329 remove cons nil cons cons 459 ref subst proveHyp nil 707 ref 8314 remove nil cons cons nil cons nil cons cons 6939 ref 708 ref appTerm 8336 def betaConv nil 399 ref 7059 remove cons 400 ref 8336 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 6939 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 8337 def subst eqMp eqMp nil 435 ref 8327 remove cons 437 ref 8328 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 7989 remove 437 ref 8300 remove cons nil cons 8338 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 7403 ref 8338 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 158 ref 156 ref 8293 remove nil cons cons 489 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 8291 remove nil cons cons 488 ref cons nil cons cons 3525 ref subst proveHyp eqMp 126 ref 5 ref 8289 remove nil cons cons 8243 remove cons nil cons cons 3525 ref subst proveHyp eqMp 126 ref 5 ref 8287 ref nil cons cons 8209 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 169 ref 8287 remove appTerm nil cons cons 400 ref 180 ref 7316 ref 8253 ref 8280 ref 708 ref appTerm 8339 def appTerm appTerm 187 ref 726 ref 8255 ref 8339 ref appTerm appTerm appTerm 2196 ref 726 ref 8258 ref 8339 remove appTerm appTerm appTerm appTerm appTerm appTerm 8266 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1878 ref 1026 ref cons 475 ref 8115 ref nil cons 8340 def cons 37 ref 5000 ref nil cons 8341 def cons 36 ref 4998 ref nil cons 8342 def cons 7434 ref 38 ref 8279 remove nil cons 8343 def cons 7435 remove 5138 ref nil cons 8344 def cons nil cons cons cons cons cons cons cons nil cons cons 8111 remove subst eqMp eqMp eqMp nil 8112 ref 437 ref 8272 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 160 ref 707 ref 7883 ref 180 ref 8260 ref appTerm 8345 def 8265 remove 7329 ref appTerm 8346 def appTerm 8347 def appTerm 8348 def absTerm 8349 def nil cons cons 8350 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 8348 ref nil cons 8351 def cons nil cons nil cons cons 155 ref subst nil 7900 ref 400 ref 8347 ref nil cons 8352 def cons 8353 def nil cons 8354 def cons nil cons cons 8355 def 416 ref subst 8355 remove 467 ref subst 7737 ref 42 ref 8345 ref 7738 ref appTerm appTerm 7739 ref 8346 ref appTerm appTerm absTerm 8356 def 7741 ref 8261 ref appTerm 8357 def appTerm betaConv sym 8345 ref refl nil 38 ref 8260 ref nil cons 8358 def cons 7598 ref 8254 ref nil cons 8359 def cons nil cons cons nil cons cons 8360 def 7749 remove subst appThm nil 475 ref 8358 remove cons nil cons 8361 def nil cons cons 1281 ref subst trans sym 154 ref eqMp nil 399 ref 8345 remove 8357 ref appTerm nil cons cons 400 ref 180 ref 8357 ref appTerm 8346 ref appTerm 8362 def nil cons 8363 def cons nil cons 8364 def cons nil cons cons 467 ref subst proveHyp 8269 ref 708 ref appTerm 8365 def betaConv nil 399 ref 17 ref 8269 remove appTerm nil cons cons 400 ref 8365 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 8270 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 8366 def nil 399 ref 8271 remove cons 8367 def 8364 ref cons nil cons cons 459 ref subst proveHyp 165 ref 8134 remove 8267 ref refl appThm nil 150 ref 8272 ref cons nil cons nil cons cons 614 ref subst trans appThm 8368 def 8362 remove refl appThm sym nil 399 ref 8272 ref cons 8369 def 8364 remove cons nil cons cons 8370 def 416 ref subst 8370 remove 467 ref subst 129 ref "_47733" 14 ref var 8371 def 180 ref 7741 ref 8371 remove varTerm appTerm appTerm 8346 ref appTerm absTerm 8372 def 8261 ref appTerm 8373 def appTerm refl 8372 ref 8266 ref appTerm betaConv appThm 439 ref 8373 remove betaConv appThm 180 ref 7741 ref 8266 ref appTerm appTerm 8346 ref appTerm refl appThm trans 8372 remove refl 8267 remove assume 8374 def appThm eqMp sym 1131 ref 7758 remove 7759 ref 3238 ref 8262 ref refl 8375 def 7649 ref appThm appThm 1703 ref appThm 8376 def appThm 8377 def 7652 ref appThm appThm appThm 8377 remove 7649 ref appThm nil 7434 remove 1003 ref 2195 ref 8262 ref 7680 ref appTerm appTerm 1011 ref appTerm 8378 def nil cons cons nil cons cons nil cons cons 7768 remove subst trans appThm nil 475 ref 7741 remove 7325 ref 8378 ref appTerm 708 ref appTerm appTerm nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp nil 435 ref 8272 remove cons 8379 def 437 ref 8363 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 8356 ref nil cons cons 475 ref 8357 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 8356 remove appTerm nil cons cons 8354 remove cons nil cons cons 459 ref subst proveHyp nil 1876 ref 8346 ref nil cons 8380 def cons 8361 remove cons nil cons cons 4829 ref subst eqMp eqMp nil 8112 ref 437 ref 8352 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 8349 ref appTerm nil cons 8381 def cons 8382 def 7044 ref cons nil cons cons 8383 def 459 ref subst nil 160 ref 707 ref 7883 ref 129 ref 8254 remove appTerm 8384 def 7580 ref 4860 ref 8114 remove 6907 ref appTerm appTerm 8385 def appTerm 8386 def 708 ref appTerm 8387 def appTerm 8388 def appTerm 8389 def absTerm 8390 def nil cons cons 8391 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 8389 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7900 ref 400 ref 8388 remove nil cons 8392 def cons nil cons 8393 def cons nil cons cons 8394 def 416 ref subst 8394 remove 467 ref subst 7590 ref 42 ref 8384 ref 7591 ref appTerm appTerm 7592 ref 8387 ref appTerm 8395 def appTerm absTerm 8396 def 7595 ref 8261 ref appTerm 8397 def appTerm betaConv sym 8384 ref refl 8360 remove 7611 remove subst appThm nil 611 ref 8359 remove cons nil cons 8398 def nil cons cons 1420 ref subst trans sym 154 ref eqMp nil 399 ref 8384 remove 8397 ref appTerm nil cons cons 400 ref 129 ref 8397 ref appTerm 8387 ref appTerm 8399 def nil cons 8400 def cons nil cons 8401 def cons nil cons cons 467 ref subst proveHyp 8366 remove nil 8367 remove 8401 ref cons nil cons cons 459 ref subst proveHyp 8368 remove 8399 remove refl appThm sym nil 8369 remove 8401 remove cons nil cons cons 8402 def 416 ref subst 8402 remove 467 ref subst 129 ref "_47735" 14 ref var 8403 def 129 ref 7595 ref 8403 remove varTerm appTerm appTerm 8387 ref appTerm absTerm 8404 def 8261 remove appTerm 8405 def appTerm refl 8404 ref 8266 ref appTerm betaConv appThm 439 ref 8405 remove betaConv appThm 129 ref 7595 remove 8266 remove appTerm appTerm 8387 ref appTerm refl appThm trans 8404 remove refl 8374 remove appThm eqMp sym 439 ref nil 1003 ref 8264 ref nil cons cons nil cons 8406 def nil cons cons 7638 remove subst appThm 8387 ref refl 8407 def appThm sym 7590 ref 42 ref 129 ref 7580 ref 8264 ref appTerm 708 ref appTerm 8408 def appTerm 8409 def 7591 ref appTerm appTerm 8395 remove appTerm absTerm 8410 def 7580 ref 7326 ref 8264 remove appTerm 7329 ref appTerm appTerm 708 ref appTerm 8411 def appTerm betaConv sym 439 ref 7644 ref 8376 remove appThm 7652 ref appThm 8412 def appThm nil 7655 ref 8406 remove cons nil cons cons 7668 ref subst 7679 ref 8412 remove appThm nil 150 ref 7580 ref 8378 remove appTerm 708 ref appTerm nil cons 8413 def cons nil cons nil cons cons 633 ref subst trans trans appThm nil 611 ref 8413 remove cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp nil 399 ref 8409 ref 8411 ref appTerm nil cons cons 400 ref 129 ref 8411 ref appTerm 8387 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 439 ref 7644 ref nil 7655 ref 1006 ref 8263 remove nil cons cons nil cons cons nil cons cons 7702 ref subst appThm 7652 ref appThm appThm 8407 ref appThm sym 439 ref 7644 ref 7703 ref 3238 ref nil 7655 ref 1003 ref 8340 ref cons nil cons cons nil cons cons 7710 ref subst appThm 7656 ref 7329 ref appTerm refl appThm appThm 7712 ref appThm appThm 7652 ref appThm appThm 8407 ref appThm sym 439 ref 7644 ref nil 7655 ref 1006 ref 8340 remove cons nil cons cons nil cons cons 7716 remove subst appThm 7652 ref appThm appThm 8407 remove appThm sym 439 ref nil 7655 ref 1003 ref 2195 ref 8115 remove appTerm 1011 ref appTerm nil cons cons nil cons cons nil cons cons 7668 ref subst 7679 remove 7644 ref 3238 ref 8167 remove appThm 1703 ref appThm appThm 7652 ref appThm appThm nil 150 ref 7580 ref 2195 ref 8149 ref appTerm 1011 ref appTerm appTerm 708 ref appTerm nil cons 8414 def cons nil cons nil cons cons 633 ref subst trans trans appThm 7644 remove nil 1116 ref 6907 ref nil cons 8415 def cons 6210 ref cons nil cons cons 8416 def 8166 ref subst nil 1389 remove 2063 remove 6474 remove cons cons nil cons cons 8166 ref subst trans appThm 7652 ref appThm appThm nil 611 ref 8414 remove cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp 609 ref 610 ref 8410 ref nil cons cons 611 ref 8411 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 7720 ref 8410 remove appTerm nil cons cons 400 ref 8409 remove 8387 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 7721 ref 8387 remove nil cons cons 8417 def 611 ref 8408 remove nil cons cons nil cons cons nil cons cons 7723 ref subst eqMp eqMp eqMp eqMp nil 8379 remove 437 ref 8400 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 609 ref 610 ref 8396 ref nil cons cons 611 ref 8397 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 7720 remove 8396 remove appTerm nil cons cons 8393 remove cons nil cons cons 459 ref subst proveHyp nil 8417 remove 8398 remove cons nil cons cons 7723 remove subst eqMp eqMp nil 8112 ref 437 ref 8392 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 160 ref 707 ref 7883 ref 129 ref 44 ref 5143 ref appTerm 8418 def 8173 ref appTerm 8419 def appTerm 8420 def 77 ref 180 ref 7326 ref 8385 ref appTerm 8421 def 7329 ref appTerm 8422 def appTerm 191 ref appTerm appTerm 8423 def appTerm 8424 def appTerm 8425 def absTerm 8426 def nil cons cons 8427 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 8425 ref nil cons 8428 def cons nil cons nil cons cons 155 ref subst nil 7900 ref 400 ref 8424 ref nil cons 8429 def cons 8430 def nil cons 8431 def cons nil cons cons 8432 def 416 ref subst 8432 remove 467 ref subst 695 ref 41 ref 42 ref 17 ref 707 ref 712 ref 129 ref 8169 ref 187 ref 713 ref 6930 ref appTerm 8433 def appTerm 8434 def 708 ref appTerm 8435 def appTerm appTerm 718 ref appTerm appTerm absTerm appTerm appTerm 5144 ref appTerm appTerm 129 ref 8418 ref 8434 ref 710 ref appTerm appTerm appTerm 167 ref 707 ref 42 ref 711 ref appTerm 8436 def 8253 ref 8435 ref appTerm appTerm absTerm appTerm appTerm appTerm absTerm 8437 def 708 ref appTerm 8438 def betaConv 38 ref 17 ref 695 ref 41 ref 42 ref 17 ref 707 ref 712 ref 129 ref 8169 ref 714 ref appTerm appTerm 718 ref appTerm appTerm absTerm appTerm appTerm 8439 def 5144 ref appTerm appTerm 129 ref 8418 ref 745 ref appTerm appTerm 167 ref 707 ref 8436 ref 8253 ref 714 ref appTerm appTerm absTerm appTerm 8440 def appTerm appTerm absTerm appTerm absTerm 8441 def 8433 ref appTerm 8442 def betaConv 460 ref 17 ref 38 ref 17 ref 695 ref 41 ref 8439 ref 5142 remove 589 ref appTerm appTerm appTerm 129 ref 590 remove 745 ref appTerm appTerm 8443 def 8440 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8444 def 5143 ref appTerm 8445 def betaConv 2690 ref 34 ref 460 ref 17 ref 38 ref 17 ref 695 ref 41 ref 8439 remove 5141 remove 2694 ref appTerm 589 ref appTerm appTerm appTerm 8443 remove 167 ref 707 ref 8436 remove 2841 remove 714 ref appTerm appTerm absTerm appTerm appTerm 8446 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8447 def 5138 remove appTerm 8448 def betaConv 6 ref 34 ref 2690 ref 34 ref 460 ref 17 ref 38 ref 17 ref 695 ref 41 ref 723 ref 5140 remove 45 ref appTerm 2694 ref appTerm 589 ref appTerm appTerm appTerm 8446 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8449 def 5129 remove appTerm 8450 def betaConv nil 34 ref 8449 ref appTerm 8451 def axiom nil 399 ref 8451 remove nil cons cons 400 ref 8450 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8449 remove nil cons cons 8209 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 8447 ref appTerm nil cons cons 400 ref 8448 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8447 remove nil cons cons 460 ref 8344 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 8444 ref appTerm nil cons cons 400 ref 8445 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8444 remove nil cons cons 460 ref 5143 ref nil cons cons nil cons 8452 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8441 ref appTerm nil cons cons 400 ref 8442 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8441 remove nil cons cons 475 ref 8433 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8437 ref appTerm nil cons cons 400 ref 8438 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8437 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 42 ref 17 ref 7344 ref 7348 ref 129 ref 8169 ref 8434 remove 7345 ref appTerm 8453 def appTerm appTerm 7350 ref appTerm appTerm absTerm appTerm appTerm 5144 ref appTerm appTerm 129 ref 8418 ref 8435 remove appTerm appTerm 167 ref 7344 ref 42 ref 7347 remove appTerm 8454 def 8253 ref 8453 remove appTerm appTerm absTerm appTerm appTerm appTerm nil cons cons 8431 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 625 ref 603 ref 7344 ref 7348 ref refl 439 ref 8304 remove nil 1116 ref 7345 ref nil cons 8455 def cons 8456 def 1003 ref 6930 remove nil cons cons 7786 ref cons 8457 def cons nil cons cons 1169 ref subst 7837 ref nil 8456 ref 8333 ref cons nil cons cons 1169 ref subst 1223 ref nil 8456 remove 8334 ref cons nil cons cons 1169 ref subst appThm trans appThm trans 8458 def appThm appThm 7350 ref refl appThm appThm absThm appThm appThm nil 150 ref 7283 remove cons nil cons nil cons cons 155 ref subst 5144 remove assume eqMp appThm nil 150 ref 17 ref 7344 ref 7348 remove 129 ref 8169 remove 713 ref 699 ref 700 ref 701 ref 7345 ref appTerm appTerm appTerm appTerm 8459 def appTerm appTerm 7350 remove appTerm appTerm absTerm appTerm 8460 def nil cons 8461 def cons nil cons nil cons cons 1105 ref subst trans appThm 439 ref 8418 ref refl 8462 def nil 7790 ref 8457 remove cons nil cons cons 1169 ref subst 7837 ref nil 7790 ref 8333 remove cons nil cons cons 1169 ref subst 1223 ref nil 7790 ref 8334 ref cons nil cons cons 8463 def 1169 ref subst appThm trans appThm trans appThm appThm 1597 ref 7344 ref 8454 ref refl 8274 remove 8458 remove appThm appThm absThm appThm appThm appThm appThm 8424 ref refl appThm sym nil 160 ref 7366 ref 7370 remove 8316 remove appTerm 8464 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 7366 ref nil 150 ref 8464 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7376 ref 8318 remove cons nil cons cons 8465 def 416 ref subst 8465 remove 467 ref subst 1003 ref 7384 remove 4352 ref 193 ref appTerm appTerm absTerm 8466 def 708 ref appTerm betaConv sym 7943 remove sym 154 ref eqMp eqMp 162 ref 160 ref 8466 ref nil cons cons 1093 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 8466 remove appTerm nil cons cons 400 ref 7944 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 7986 ref 7429 ref cons nil cons cons 4776 ref subst eqMp 8467 def 8319 remove proveHyp 8321 remove eqMp eqMp nil 7403 ref 437 ref 8317 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 8461 remove cons 8468 def 400 ref 41 ref 8420 remove 167 ref 7344 ref 8454 remove 8253 ref 8459 remove appTerm appTerm absTerm appTerm 8469 def appTerm 8470 def appTerm 8424 ref appTerm 8471 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 8470 ref nil cons 8472 def cons 8431 remove cons nil cons cons 8473 def 416 ref subst 8473 remove 467 ref subst 129 ref "_47737" 2 ref var 8474 def 129 ref 8474 remove varTerm appTerm 8423 ref appTerm absTerm 8475 def 8419 ref appTerm 8476 def appTerm refl 8475 ref 8469 ref appTerm betaConv appThm 439 ref 8476 remove betaConv appThm 129 ref 8469 remove appTerm 8477 def 8423 ref appTerm refl appThm trans 8475 remove refl 8470 ref assume appThm eqMp sym 8477 remove refl 8478 def 620 ref nil 1003 ref 8422 remove nil cons cons nil cons nil cons cons 1003 ref 3405 remove 17 ref 707 ref 77 ref 7630 ref appTerm absTerm appTerm 8479 def appTerm 8480 def absTerm 8481 def 1011 ref appTerm 8482 def betaConv 603 ref 1003 ref 8480 remove assume sym 129 ref 8479 remove appTerm 2184 ref appTerm 8483 def assume sym deductAntisym absThm appThm nil 17 ref 1003 ref 8483 remove absTerm appTerm axiom eqMp nil 399 ref 17 ref 8481 ref appTerm nil cons cons 400 ref 8482 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8481 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst 603 ref 7344 ref 620 ref nil 707 ref 8455 ref cons 7655 ref 1003 ref 8385 remove nil cons cons nil cons cons cons nil cons cons 7668 remove subst appThm absThm appThm trans appThm 439 ref 620 ref 603 ref 7344 ref 7344 ref 77 ref 42 ref 4349 ref 7345 ref appTerm 8484 def 7329 ref appTerm appTerm 8386 ref 7345 ref appTerm 8485 def appTerm 8486 def appTerm absTerm 8487 def 7345 ref appTerm betaConv 8488 def absThm appThm appThm appThm 1597 ref 7344 ref 620 ref 8488 remove appThm absThm appThm appThm nil 1329 ref 8487 remove nil cons cons nil cons nil cons cons 163 ref 1595 remove subst subst eqMp 1597 ref 7344 ref nil 150 ref 8486 remove nil cons cons nil cons nil cons cons 1416 ref subst absThm appThm trans trans appThm sym 8478 remove 1597 ref 7344 ref 625 ref 8484 remove refl 7649 ref appThm nil 7670 ref 1006 ref 8455 remove cons nil cons cons nil cons cons 1003 ref 129 ref 4459 ref 1286 ref appTerm 8489 def appTerm 8490 def 1012 ref appTerm 8491 def absTerm 8492 def 1011 ref appTerm 8493 def betaConv 1006 ref 17 ref 8492 ref appTerm 8494 def absTerm 8495 def 1009 ref appTerm 8496 def betaConv nil 17 ref 8495 ref appTerm 8497 def axiom 8498 def nil 399 ref 8497 remove nil cons cons 400 ref 8496 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8495 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8494 remove nil cons cons 400 ref 8493 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8492 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 8499 def subst trans appThm 8485 remove refl appThm absThm appThm appThm sym 1597 ref 7366 ref nil 399 ref 77 ref 7369 ref appTerm nil cons 8500 def cons 8501 def 400 ref 129 ref 7380 ref 8253 remove 8315 remove appTerm 8502 def appTerm appTerm 7380 remove 8386 remove 7367 ref appTerm 8503 def appTerm appTerm nil cons 8504 def cons nil cons 8505 def cons nil cons cons 8506 def 416 ref subst 8506 remove 467 ref subst 439 ref 625 ref nil 8501 remove 400 ref 129 ref 7369 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 7403 ref nil cons nil cons cons 1932 ref subst eqMp appThm 8507 def 8502 ref refl 8508 def appThm nil 150 ref 8502 ref nil cons cons nil cons nil cons cons 8509 def 1506 ref subst trans appThm 8507 remove 8503 ref refl 8510 def appThm nil 150 ref 8503 ref nil cons cons nil cons nil cons cons 8511 def 1506 ref subst trans appThm 1803 ref trans sym 154 ref eqMp eqMp nil 435 ref 8500 ref cons 437 ref 8504 ref cons nil cons 8512 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 7376 remove 8505 remove cons nil cons cons 8513 def 416 ref subst 8513 remove 467 ref subst 439 ref 7395 ref 8508 remove appThm 8509 remove 633 ref subst trans appThm 7395 remove 8510 remove appThm 8511 remove 633 ref subst trans appThm sym 8467 remove nil 7947 remove 400 ref 129 ref 8502 remove appTerm 8503 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 7398 remove 8390 ref 708 ref appTerm 8514 def betaConv nil 399 ref 17 ref 8390 remove appTerm nil cons cons 400 ref 8514 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 8391 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp eqMp eqMp nil 7403 ref 8512 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 7369 remove appTerm 8515 def betaConv 1970 ref nil 1971 ref 400 ref 8515 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 7375 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 7403 remove 437 ref 8500 remove cons 1553 ref 8504 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp absThm appThm eqMp eqMp eqMp eqMp nil 435 ref 8472 ref cons 437 ref 8429 ref cons nil cons 8516 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 8460 ref appTerm 8471 remove appTerm nil cons cons 400 ref 41 ref 41 ref 8460 remove appTerm 8470 remove appTerm appTerm 8424 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 8429 ref cons 400 ref 8472 remove cons 8468 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 8112 ref 8516 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp 8383 ref 416 ref subst 8383 remove 467 ref subst nil 160 ref 707 ref 7883 remove 180 ref 187 ref 726 ref 728 ref 5057 ref appTerm 8517 def 713 ref 699 ref 700 ref 701 ref 7329 ref appTerm appTerm 8518 def appTerm 8519 def appTerm 8520 def appTerm appTerm 8521 def appTerm 8522 def 187 ref 2800 ref 187 ref 726 ref 7321 ref 8173 ref appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 8173 remove appTerm appTerm appTerm appTerm 8523 def appTerm 5027 ref appTerm appTerm 8524 def 187 ref 8260 ref appTerm 8525 def 2828 ref 8419 ref appTerm 8526 def appTerm appTerm appTerm 8527 def appTerm 8528 def 187 ref 7325 ref 2195 ref 7327 ref 8518 ref appTerm 8529 def appTerm 8530 def 1881 ref appTerm 8531 def appTerm 8532 def 7329 ref appTerm 8533 def appTerm 187 ref 8346 ref appTerm 2828 ref 8423 ref appTerm 8534 def appTerm 8535 def appTerm 8536 def appTerm 8537 def appTerm 8538 def absTerm 8539 def nil cons cons 8540 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 8538 remove nil cons cons nil cons nil cons cons 155 ref subst nil 7900 ref 400 ref 8537 remove nil cons 8541 def cons nil cons 8542 def cons nil cons cons 8543 def 416 ref subst 8543 remove 467 ref subst 7737 remove 42 ref 8528 ref 7738 remove appTerm appTerm 7739 remove 8536 ref appTerm appTerm absTerm 8544 def 187 ref 7326 ref 7325 ref 4861 ref appTerm 8545 def 7329 ref appTerm 8546 def appTerm 8547 def 5027 ref appTerm 8548 def appTerm 8549 def 187 ref 2800 ref 8532 ref 8518 ref appTerm 8550 def appTerm 5027 ref appTerm 8551 def appTerm 8552 def 8535 ref appTerm appTerm 8553 def appTerm betaConv sym 8349 remove 708 ref appTerm 8554 def betaConv nil 8382 remove 400 ref 8554 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 8350 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8351 remove cons 400 ref 8528 ref 8553 ref appTerm 8555 def nil cons 8556 def cons nil cons 8557 def cons nil cons cons 459 ref subst proveHyp nil 7900 ref 400 ref 41 ref 8347 ref appTerm 8555 ref appTerm 8558 def nil cons cons nil cons cons nil cons cons 467 ref subst nil 399 ref 8352 ref cons 8557 remove cons nil cons cons 8559 def 416 ref subst 8559 remove 467 ref subst 129 ref "_47743" 14 ref var 8560 def 8528 ref 8549 ref 8552 ref 187 ref 8560 remove varTerm appTerm 8534 ref appTerm appTerm appTerm appTerm absTerm 8561 def 8346 ref appTerm 8562 def appTerm refl 8561 ref 8260 remove appTerm betaConv appThm 439 ref 8562 remove betaConv appThm 8528 remove 8549 ref 8552 ref 8525 remove 8534 ref appTerm appTerm appTerm appTerm 8563 def refl appThm trans 8561 remove refl 8347 remove assume sym appThm eqMp sym 7732 ref 8171 ref appTerm 8564 def betaConv nil 399 ref 17 ref 7732 remove appTerm nil cons cons 400 ref 8564 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 7733 remove 475 ref 8184 remove cons nil cons 8565 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 698 ref 8171 ref appTerm 703 ref appTerm 8566 def appTerm 180 ref 8523 ref appTerm 8567 def 7325 ref 2195 ref 7327 ref 187 ref 8171 ref appTerm 192 ref appTerm 8568 def appTerm appTerm 1881 ref appTerm appTerm 8568 remove appTerm appTerm 8569 def appTerm 8570 def nil cons cons 400 ref 8563 ref nil cons 8571 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 7966 ref 8186 ref cons nil cons cons 6045 ref subst nil 7986 ref 8187 ref cons nil cons cons 6045 ref subst 7942 remove trans trans 8572 def sym 154 ref eqMp nil 399 ref 8566 ref nil cons cons 8573 def 400 ref 41 ref 8569 ref appTerm 8563 ref appTerm 8574 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 8567 ref refl 7759 ref 3238 ref 7645 ref nil 2073 ref 8186 remove cons nil cons cons 1169 ref subst 1229 ref nil 2073 ref 8187 remove cons nil cons cons 1169 ref subst appThm trans 8575 def appThm appThm 7650 ref appThm appThm 8575 remove appThm appThm appThm 1131 ref 8522 ref refl 8524 ref refl nil 1116 ref 8526 ref nil cons cons 1003 ref 8259 ref nil cons cons 1006 ref 8256 remove nil cons cons nil cons cons 8576 def cons nil cons cons 1169 ref subst appThm appThm appThm 8549 ref refl 8577 def 8552 ref refl nil 1116 ref 8534 ref nil cons cons 8578 def 8576 remove cons nil cons cons 1169 ref subst appThm appThm appThm appThm sym nil 399 ref 8567 remove 8550 ref appTerm 8579 def nil cons 8580 def cons 400 ref 180 ref 8522 ref 8524 ref 8257 ref 187 ref 8259 remove appTerm 8581 def 8526 remove appTerm appTerm appTerm appTerm 8582 def appTerm 8583 def 8549 ref 8552 remove 8257 ref 8581 ref 8534 ref appTerm appTerm 8584 def appTerm appTerm appTerm nil cons 8585 def cons nil cons cons nil cons cons 8586 def 416 ref subst 8586 remove 467 ref subst 129 ref "_47745" 14 ref var 8587 def 8583 ref 8549 ref 187 ref 2800 ref 8587 remove varTerm appTerm 5027 ref appTerm appTerm 8584 ref appTerm appTerm appTerm absTerm 8588 def 8550 remove appTerm 8589 def appTerm refl 8588 ref 8523 remove appTerm betaConv appThm 439 ref 8589 remove betaConv appThm 8583 ref 8549 ref 8524 ref 8584 remove appTerm 8590 def appTerm appTerm 8591 def refl 8592 def appThm trans 8588 remove refl 8579 remove assume sym appThm eqMp sym 470 ref 167 ref 695 ref 2721 ref 5027 ref appTerm 8593 def 5052 ref appTerm absTerm appTerm absTerm 8594 def 4989 ref appTerm betaConv sym 695 ref 5049 remove 710 ref appTerm 8595 def 5027 ref appTerm 5052 ref appTerm absTerm 8596 def 192 ref appTerm betaConv sym 5053 ref assume 8597 def eqMp 162 ref 160 ref 8596 remove nil cons cons 3643 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 8594 ref nil cons cons 7866 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 8594 remove appTerm nil cons cons 400 ref 180 ref 181 ref 5052 ref appTerm 8598 def appTerm 5027 ref appTerm 8599 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 8332 ref 2661 ref 5052 ref nil cons 8600 def cons nil cons cons nil cons cons 3819 ref subst eqMp 470 ref 42 ref 5055 remove 653 ref appTerm 8601 def 5057 ref appTerm appTerm 180 ref 2672 ref appTerm 8602 def 5027 ref appTerm appTerm absTerm 8603 def 5052 ref appTerm betaConv sym 625 ref nil 150 ref 7221 remove cons nil cons nil cons cons 155 ref subst 5058 remove assume eqMp appThm 8604 def 1131 ref 8599 remove assume 8605 def appThm 5027 ref refl 8606 def appThm nil 475 ref 8331 ref cons nil cons 8607 def nil cons cons 1281 ref subst trans appThm 634 ref trans sym 154 ref eqMp eqMp 158 ref 156 ref 8603 ref nil cons cons 470 ref 8600 remove cons nil cons 8608 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 8603 remove appTerm nil cons cons 400 ref 180 ref 181 ref 5057 ref appTerm 8609 def appTerm 5027 ref appTerm 8610 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 8332 ref 2661 ref 5057 ref nil cons 8611 def cons nil cons cons nil cons cons 1003 ref 41 ref 172 ref 470 ref 42 ref 8601 remove 2667 ref appTerm appTerm 8612 def 8602 ref 1011 ref appTerm appTerm 8613 def absTerm 8614 def appTerm 8615 def appTerm 8616 def 3768 ref appTerm 8617 def absTerm 8618 def 1011 ref appTerm 8619 def betaConv 2661 ref 17 ref 8618 ref appTerm 8620 def absTerm 8621 def 2667 ref appTerm 8622 def betaConv nil 11 ref 470 ref 11 ref 2661 ref 17 ref 1003 ref 41 ref 8613 ref appTerm 3768 ref appTerm absTerm 8623 def appTerm 8624 def absTerm 8625 def appTerm 8626 def absTerm 8627 def appTerm 8628 def axiom nil 399 ref 8628 ref nil cons 8629 def cons 8630 def 400 ref 11 ref 8621 ref appTerm nil cons 8631 def cons nil cons cons nil cons cons 8632 def 459 ref subst proveHyp 8632 ref 416 ref subst 8632 remove 467 ref subst nil 156 ref 8621 remove nil cons cons 8633 def nil cons nil cons cons 159 ref subst 2661 ref nil 150 ref 8620 remove nil cons 8634 def cons nil cons nil cons cons 155 ref subst nil 160 ref 8618 remove nil cons cons 8635 def nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 8617 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 8615 remove nil cons 8636 def cons 8637 def 3794 ref cons nil cons cons 8638 def 416 ref subst 8638 remove 467 ref subst nil 8630 ref 3794 ref cons nil cons cons 8639 def 459 ref subst nil 8637 remove 400 ref 41 ref 8628 remove appTerm 3768 remove appTerm 8640 def nil cons 8641 def cons nil cons 8642 def cons nil cons cons 459 ref subst nil 156 ref 470 ref 41 ref 8614 ref 653 ref appTerm 8643 def appTerm 8640 ref appTerm 8644 def absTerm 8645 def nil cons cons nil cons nil cons cons 159 ref subst 470 ref nil 150 ref 8644 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 8643 ref nil cons 8646 def cons 8642 ref cons nil cons cons 8647 def 416 ref subst 8647 remove 467 ref subst 8643 ref betaConv 8643 remove assume eqMp nil 399 ref 8613 remove nil cons 8648 def cons 8649 def 8642 remove cons nil cons cons 8650 def 459 ref subst proveHyp 8650 ref 416 ref subst 8650 remove 467 ref subst 8639 ref 416 ref subst 8639 remove 467 ref subst nil 8649 remove 3794 remove cons nil cons cons 459 ref subst 8623 ref 1011 ref appTerm 8651 def betaConv 8625 ref 2667 ref appTerm 8652 def betaConv 8627 ref 653 ref appTerm 8653 def betaConv nil 8630 remove 400 ref 8653 remove nil cons cons nil cons cons nil cons cons 459 ref subst 158 ref 156 ref 8627 remove nil cons cons 2682 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8626 remove nil cons cons 400 ref 8652 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8625 remove nil cons cons 2683 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8624 remove nil cons cons 400 ref 8651 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8623 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 8629 remove cons 8654 def 3817 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 8648 remove cons 437 ref 8641 remove cons nil cons 8655 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 8646 remove cons 8655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 8645 remove appTerm nil cons cons 400 ref 8616 remove 8640 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8614 remove nil cons cons 8655 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 8636 remove cons 3817 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 8654 remove 437 ref 8631 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 8631 remove cons 400 ref 8622 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 8633 remove 2683 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8634 remove cons 400 ref 8619 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 8635 remove 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp 38 ref 41 ref 17 ref 7344 ref 34 ref 3532 ref 41 ref 2325 ref 5057 ref appTerm 8656 def 7345 ref appTerm 3533 ref appTerm appTerm 8657 def 129 ref 3547 ref 47 ref appTerm appTerm 8658 def 7580 ref 8546 ref appTerm 8659 def 7345 ref appTerm 8660 def appTerm 8661 def appTerm absTerm appTerm absTerm appTerm appTerm 180 ref 726 ref 8517 ref 47 ref appTerm 8662 def appTerm appTerm 8547 ref 8609 remove appTerm 8663 def appTerm appTerm absTerm 8664 def 8520 ref appTerm 8665 def betaConv 470 ref 17 ref 38 ref 41 ref 17 ref 7344 ref 34 ref 3532 ref 41 ref 2697 ref 7345 remove appTerm 3533 ref appTerm appTerm 8661 remove appTerm absTerm appTerm absTerm appTerm appTerm 180 ref 2798 remove appTerm 8666 def 8547 ref 2672 ref appTerm appTerm appTerm absTerm appTerm absTerm 8667 def 5057 ref appTerm 8668 def betaConv 1003 ref 11 ref 470 ref 17 ref 38 ref 41 ref 17 ref 707 ref 34 ref 3532 ref 41 ref 3534 remove appTerm 8658 remove 7630 remove appTerm appTerm absTerm appTerm absTerm appTerm appTerm 8666 remove 7656 ref 2672 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8669 def 8546 ref appTerm 8670 def betaConv nil 17 ref 8669 ref appTerm 8671 def axiom nil 399 ref 8671 remove nil cons cons 400 ref 8670 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8669 remove nil cons cons 475 ref 8546 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 8667 ref appTerm nil cons cons 400 ref 8668 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8667 remove nil cons cons 470 ref 8611 remove cons nil cons 8672 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8664 ref appTerm nil cons cons 400 ref 8665 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8664 remove nil cons cons 475 ref 8520 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 17 ref 7344 remove 34 ref 3532 ref 8657 remove 129 ref 3547 ref 8520 ref appTerm appTerm 8673 def 8660 remove appTerm appTerm absTerm appTerm absTerm appTerm 8674 def appTerm 180 ref 8521 ref appTerm 8675 def 8663 remove appTerm 8676 def appTerm 8677 def nil cons cons 400 ref 8591 ref nil cons 8678 def cons nil cons 8679 def cons nil cons cons 459 ref subst proveHyp nil 160 ref 7366 ref 34 ref 3532 ref 41 ref 8656 remove 7367 ref appTerm 8680 def 3533 ref appTerm appTerm 8673 remove 8659 remove 7367 ref appTerm 8681 def appTerm appTerm absTerm appTerm 8682 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 7366 ref nil 150 ref 8682 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5 ref "pbj" 1 ref var 8683 def 41 ref 8680 ref 8683 ref varTerm 8684 def appTerm 8685 def appTerm 129 ref 44 ref 8684 ref appTerm 8686 def 8520 ref appTerm 8687 def appTerm 8688 def 8681 ref appTerm 8689 def appTerm 8690 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 8683 remove nil 150 ref 8690 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 8685 ref nil cons 8691 def cons 400 ref 8689 ref nil cons 8692 def cons nil cons 8693 def cons nil cons cons 8694 def 416 ref subst 8694 remove 467 ref subst "yj" 1 ref var 8695 def 41 ref 5059 ref 8680 remove 8695 ref varTerm 8696 def appTerm appTerm appTerm 167 ref 707 ref 42 ref 180 ref 7328 ref 187 ref 7367 ref appTerm 8697 def 192 ref appTerm 8698 def appTerm appTerm 8699 def 8598 remove appTerm appTerm 8700 def 2325 remove 5052 ref appTerm 8701 def 708 ref appTerm 8702 def 8696 ref appTerm appTerm absTerm appTerm 8703 def appTerm absTerm 8704 def 8684 ref appTerm 8705 def betaConv 7366 ref 34 ref 8704 ref appTerm 8706 def absTerm 8707 def 7367 ref appTerm 8708 def betaConv 2661 ref 17 ref 7366 ref 34 ref 8695 ref 41 ref 42 ref 5056 remove 2667 ref appTerm appTerm 3506 remove 7367 ref appTerm 8696 ref appTerm 8709 def appTerm appTerm 8703 remove appTerm absTerm appTerm absTerm appTerm absTerm 8710 def 5057 ref appTerm 8711 def betaConv 470 ref 11 ref 2661 ref 17 ref 7366 ref 34 ref 8695 remove 41 ref 8612 remove 8709 remove appTerm appTerm 167 ref 707 ref 42 ref 8699 ref 2672 ref appTerm appTerm 2698 remove 8696 remove appTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8712 def 5052 ref appTerm 8713 def betaConv nil 11 ref 8712 ref appTerm 8714 def axiom nil 399 ref 8714 remove nil cons cons 400 ref 8713 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8712 remove nil cons cons 8608 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 8710 ref appTerm nil cons cons 400 ref 8711 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8710 remove nil cons cons 8672 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8707 ref appTerm nil cons cons 400 ref 8708 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8707 remove nil cons cons 7389 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8706 remove nil cons cons 400 ref 8705 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8704 remove nil cons cons 460 ref 8684 ref nil cons cons nil cons 8715 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 5059 remove 8685 ref appTerm appTerm 167 ref 707 ref 8700 remove 8702 ref 8684 ref appTerm 8716 def appTerm absTerm appTerm appTerm nil cons cons 8693 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 8604 remove nil 150 ref 8691 ref cons nil cons nil cons cons 155 ref subst 8685 remove assume eqMp appThm 634 ref trans appThm 1597 ref 707 ref 625 ref 8699 ref refl 8605 remove appThm appThm 8716 ref refl appThm absThm appThm appThm nil 150 ref 167 ref 707 ref 42 ref 8699 remove 5027 ref appTerm appTerm 8716 remove appTerm absTerm 8717 def appTerm 8718 def nil cons cons nil cons nil cons cons 614 ref subst trans appThm 8689 ref refl 8719 def appThm sym nil 160 ref "jr" 14 ref var 8720 def 41 ref 8717 ref 8720 ref varTerm 8721 def appTerm 8722 def appTerm 8689 ref appTerm 8723 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 8720 remove nil 150 ref 8723 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 8722 ref nil cons 8724 def cons 8693 ref cons nil cons cons 8725 def 416 ref subst 8725 remove 467 ref subst 8722 ref betaConv 8722 remove assume eqMp nil 399 ref 42 ref 180 ref 187 ref 8721 ref appTerm 8726 def 8698 ref appTerm 8727 def appTerm 5027 ref appTerm 8728 def appTerm 8701 remove 8721 ref appTerm 8729 def 8684 ref appTerm 8730 def appTerm nil cons 8731 def cons 8693 ref cons nil cons cons 8732 def 459 ref subst proveHyp 8732 ref 416 ref subst 8732 remove 467 ref subst nil 435 ref 8728 ref nil cons cons 437 ref 8730 ref nil cons 8733 def cons nil cons cons nil cons cons 8734 def 451 ref subst 8734 remove 515 ref subst 2690 ref 41 ref 5053 remove appTerm 8735 def 129 ref 8729 remove 2694 ref appTerm appTerm 42 ref 4349 ref 8721 ref appTerm 5027 ref appTerm 8736 def appTerm 8737 def 5044 ref 2714 ref 8721 ref appTerm 8738 def appTerm 8739 def 2694 ref appTerm appTerm appTerm appTerm absTerm 8740 def 8684 ref appTerm 8741 def betaConv 707 ref 34 ref 2690 ref 8735 ref 129 ref 8702 remove 2694 ref appTerm appTerm 42 ref 7658 ref 5027 ref appTerm appTerm 5044 ref 2714 ref 708 ref appTerm 8742 def appTerm 2694 ref appTerm 8743 def appTerm 8744 def appTerm appTerm absTerm appTerm absTerm 8745 def 8721 ref appTerm 8746 def betaConv 2661 ref 17 ref 707 ref 34 ref 2690 ref 41 ref 5051 remove 2667 ref appTerm appTerm 129 ref 3507 remove 2694 ref appTerm appTerm 8747 def 8744 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8748 def 5052 remove appTerm 8749 def betaConv 1003 ref 11 ref 2661 ref 17 ref 707 ref 34 ref 2690 ref 41 ref 5050 remove 1011 ref appTerm 2667 ref appTerm appTerm 8747 ref 42 ref 7658 ref 1011 ref appTerm appTerm 8750 def 8743 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8751 def 5027 ref appTerm 8752 def betaConv 695 ref 17 ref 1003 ref 11 ref 2661 ref 17 ref 707 ref 34 ref 2690 ref 41 ref 8595 remove 1011 ref appTerm 2667 ref appTerm appTerm 8747 ref 8750 ref 5044 remove 2265 ref 708 ref appTerm 8753 def appTerm 2694 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8754 def 192 ref appTerm 8755 def betaConv 470 ref 17 ref 695 ref 17 ref 1003 ref 11 ref 2661 ref 17 ref 707 ref 34 ref 2690 ref 3775 ref 8747 remove 8750 ref 2697 remove 8753 ref appTerm 2694 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8756 def 4989 remove appTerm 8757 def betaConv nil 11 ref 8756 ref appTerm 8758 def axiom nil 399 ref 8758 remove nil cons cons 400 ref 8757 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8756 remove nil cons cons 7866 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8754 ref appTerm nil cons cons 400 ref 8755 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8754 remove nil cons cons 3643 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8751 ref appTerm nil cons cons 400 ref 8752 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8751 remove nil cons cons 8607 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 8748 ref appTerm nil cons cons 400 ref 8749 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 8748 remove nil cons cons 8608 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8745 ref appTerm nil cons cons 400 ref 8746 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8745 remove nil cons cons 475 ref 8721 ref nil cons 8759 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 8740 ref appTerm nil cons cons 400 ref 8741 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8740 remove nil cons cons 8715 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8735 remove 129 ref 8730 ref appTerm 8737 remove 8739 ref 8684 ref appTerm 8760 def appTerm 8761 def appTerm appTerm nil cons cons 8693 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7219 remove cons nil cons nil cons cons 155 ref subst 8597 remove eqMp appThm 439 ref nil 150 ref 8733 remove cons nil cons nil cons cons 155 ref subst 8730 remove assume eqMp appThm 8761 ref refl appThm nil 150 ref 8761 remove nil cons 8762 def cons nil cons nil cons cons 8763 def 1522 ref subst trans appThm 8763 remove 614 ref subst trans appThm 8719 ref appThm sym nil 399 ref 8762 ref cons 8693 ref cons nil cons cons 8764 def 416 ref subst 8764 remove 467 ref subst nil 435 ref 8736 remove nil cons cons 437 ref 8760 ref nil cons 8765 def cons nil cons cons nil cons cons 515 ref subst 38 ref 41 ref 5120 ref 8760 ref appTerm appTerm 8766 def 129 ref 8686 ref 713 ref 8738 ref appTerm 8767 def appTerm appTerm 7852 ref appTerm appTerm absTerm 8768 def 713 ref 699 ref 8697 ref 7329 ref appTerm 8769 def appTerm 8770 def appTerm 8771 def appTerm 8772 def betaConv 3532 remove 17 ref 38 ref 41 ref 5120 remove 8739 remove 3533 remove appTerm appTerm appTerm 129 ref 3547 remove 8767 remove appTerm appTerm 7852 remove appTerm appTerm absTerm appTerm absTerm 8773 def 8684 remove appTerm 8774 def betaConv 7859 remove 8738 ref appTerm 8775 def betaConv 7867 remove nil 7868 remove 400 ref 8775 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7869 remove 475 ref 8738 ref nil cons 8776 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 8773 ref appTerm nil cons cons 400 ref 8774 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 8773 remove nil cons cons 8715 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8768 ref appTerm nil cons cons 400 ref 8772 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8768 remove nil cons cons 475 ref 8771 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8766 remove 129 ref 8686 ref 187 ref 8771 ref appTerm 8738 ref appTerm 8777 def appTerm appTerm 7317 remove 8771 remove appTerm 8778 def appTerm 8779 def appTerm nil cons cons 8693 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 7874 remove nil 150 ref 8765 remove cons nil cons nil cons cons 155 ref subst 8760 remove assume eqMp appThm 634 ref trans appThm 8779 ref refl appThm nil 150 ref 8779 remove nil cons cons nil cons nil cons cons 614 ref subst trans appThm 8719 remove appThm sym 1131 ref nil 1116 ref 8776 remove cons 8780 def 1003 ref 8770 remove nil cons cons 7786 ref cons cons nil cons cons 1169 ref subst 7837 ref nil 8780 ref 1003 ref 8769 ref nil cons 8781 def cons 1221 ref cons cons nil cons cons 1169 ref subst 1223 ref nil 8780 ref 1003 ref 7654 ref cons 8782 def 7429 ref cons cons nil cons cons 1169 ref subst 8697 ref refl nil 8780 ref 1237 ref 7647 ref cons 8783 def cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm 8520 ref refl appThm nil 1116 ref 8519 remove nil cons cons 1003 ref 699 ref 8697 ref 7328 ref 2714 ref 8738 remove appTerm 8784 def appTerm appTerm 8785 def appTerm nil cons cons 7786 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 8518 ref nil cons 8786 def cons 1003 ref 8785 remove nil cons cons 1221 ref cons cons nil cons cons 1192 ref subst trans trans sym 1131 ref nil 1116 ref 8784 remove nil cons cons 7670 ref 7429 ref cons 8787 def cons nil cons cons 2078 ref subst nil 8780 remove 1237 ref 1006 ref 8697 ref 708 ref appTerm 8788 def nil cons cons nil cons cons 8789 def cons nil cons cons 2078 ref subst nil 1116 ref 8759 ref cons 1237 ref 1006 ref 187 ref 8788 remove appTerm 192 ref appTerm 8790 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans appThm nil 1116 ref 7654 ref cons 8791 def 8334 ref cons nil cons cons 8792 def 2078 ref subst nil 2073 ref 7670 ref 1006 ref 8331 ref cons 8793 def nil cons 8794 def cons cons nil cons cons 8795 def 2078 ref subst trans 8796 def appThm sym 129 ref "_47749" 14 ref var 8797 def 180 ref 187 ref 187 ref 8790 ref appTerm 192 ref appTerm 8798 def appTerm 8721 remove appTerm appTerm 8799 def 187 ref 187 ref 8797 remove varTerm appTerm 708 ref appTerm appTerm 192 ref appTerm appTerm absTerm 8800 def 5027 ref appTerm 8801 def appTerm refl 8800 ref 8727 ref appTerm betaConv appThm 439 ref 8801 remove betaConv appThm 8799 remove 187 ref 187 ref 8727 ref appTerm 708 ref appTerm 8802 def appTerm 192 ref appTerm 8803 def appTerm refl appThm trans 8800 remove refl 8728 remove assume sym 8804 def appThm eqMp sym 1131 ref nil 1003 ref 8759 ref cons 1006 ref 8798 remove nil cons cons nil cons cons nil cons cons 1210 ref subst appThm 8803 remove refl appThm sym 1131 ref 8726 ref refl 8805 def nil 2073 ref 8789 ref cons nil cons cons 1169 ref subst nil 1116 ref 4206 ref cons 8806 def 8787 ref cons nil cons cons 1169 ref subst trans appThm appThm nil 2073 ref 7670 ref 1006 ref 8727 ref nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 8791 ref 1003 ref 8698 ref nil cons cons 8807 def 1006 ref 8759 remove cons 8808 def nil cons 8809 def cons cons nil cons cons 1169 ref subst trans 8805 remove nil 8791 ref 1237 ref 7429 ref cons cons nil cons cons 1169 ref subst appThm trans appThm nil 1116 ref 8697 ref 2714 ref 7329 ref appTerm 8810 def appTerm nil cons cons 1003 ref 8697 ref 7328 ref 4193 ref appTerm 8811 def appTerm nil cons cons 8809 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 8810 ref nil cons 8812 def cons 1003 ref 8811 ref nil cons cons 7429 ref cons cons nil cons cons 1192 ref subst trans trans sym 180 ref 8811 remove appTerm refl nil 8782 ref 4159 ref cons nil cons cons 1210 ref subst appThm sym nil 2073 ref 8783 ref cons nil cons cons 2078 ref subst eqMp eqMp eqMp eqMp eqMp eqMp 129 ref "_47747" 14 ref var 8813 def 41 ref 129 ref 8686 remove 8813 remove varTerm appTerm appTerm 8778 ref appTerm appTerm 8689 ref appTerm absTerm 8814 def 8777 ref appTerm 8815 def appTerm refl 8814 ref 8520 ref appTerm betaConv appThm 439 ref 8815 remove betaConv appThm 41 ref 8688 remove 8778 ref appTerm 8816 def appTerm 8689 ref appTerm refl appThm trans 8814 remove refl 180 ref 8777 remove appTerm 8520 remove appTerm assume appThm eqMp sym nil 399 ref 8816 ref nil cons 8817 def cons 8693 remove cons nil cons cons 8818 def 416 ref subst 8818 remove 467 ref subst 129 ref "_47751" 2 ref var 8819 def 129 ref 8819 remove varTerm appTerm 8681 ref appTerm absTerm 8820 def 8687 remove appTerm 8821 def appTerm refl 8820 ref 8778 ref appTerm betaConv appThm 439 ref 8821 remove betaConv appThm 129 ref 8778 remove appTerm 8822 def 8681 remove appTerm refl appThm trans 8820 remove refl 8816 remove assume appThm eqMp sym 8822 ref refl nil 7397 remove 7717 ref cons nil cons cons 707 ref 129 ref 7580 remove 7761 ref appTerm 708 ref appTerm 8823 def appTerm 7629 remove 8753 remove appTerm 8824 def appTerm 8825 def absTerm 8826 def 708 ref appTerm 8827 def betaConv 695 ref 17 ref 8826 ref appTerm 8828 def absTerm 8829 def 710 ref appTerm 8830 def betaConv 1003 ref 17 ref 8829 ref appTerm 8831 def absTerm 8832 def 1011 ref appTerm 8833 def betaConv 603 ref 1003 ref 603 ref 695 ref 603 ref 707 ref 8825 remove assume sym 129 ref 8824 remove appTerm 8823 remove appTerm 8834 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 17 ref 1003 ref 17 ref 695 ref 17 ref 707 ref 8834 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 17 ref 8832 ref appTerm nil cons cons 400 ref 8833 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8832 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8831 remove nil cons cons 400 ref 8830 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8829 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8828 remove nil cons cons 400 ref 8827 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8826 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm sym nil 7983 ref 1006 ref 7654 ref cons nil cons 8835 def cons nil cons cons 1210 ref subst 129 ref "_47753" 14 ref var 8836 def 8822 ref 7581 ref 8836 remove varTerm appTerm appTerm absTerm 8837 def 187 ref 7329 ref appTerm 8838 def 7367 ref appTerm 8839 def appTerm 8840 def appTerm refl 8837 ref 8769 ref appTerm betaConv appThm 439 ref 8840 remove betaConv appThm 8822 remove 7581 remove 8769 ref appTerm appTerm 8841 def refl appThm trans 8837 remove refl 180 ref 8839 remove appTerm 8769 ref appTerm assume appThm eqMp sym 1003 ref 42 ref 698 ref 8769 remove appTerm 8842 def 1011 ref appTerm appTerm 7821 remove appTerm absTerm 8843 def 8171 ref appTerm betaConv sym 42 ref 8842 ref 8171 remove appTerm 8844 def appTerm refl 8572 remove appThm nil 150 ref 8844 remove nil cons cons nil cons nil cons cons 1105 ref subst trans sym 4701 ref nil 2073 ref 8787 remove cons nil cons cons 2078 ref subst appThm 8463 remove 2078 ref subst appThm sym 129 ref "_47755" 14 ref var 8845 def 698 ref 8790 remove appTerm 8846 def 187 ref 8845 remove varTerm appTerm 708 ref appTerm appTerm absTerm 8847 def 5027 ref appTerm 8848 def appTerm refl 8847 ref 8727 remove appTerm betaConv appThm 439 ref 8848 remove betaConv appThm 8846 remove 8802 ref appTerm refl appThm trans 8847 remove refl 8804 remove appThm eqMp sym 4701 ref nil 8789 remove nil cons cons 1210 ref subst appThm 8802 remove refl appThm sym 4701 ref nil 7790 ref 7983 ref 4159 ref cons 8849 def cons nil cons cons 2078 ref subst appThm 1368 ref nil 2073 ref 7983 ref 8809 remove cons cons nil cons cons 8850 def 2078 ref subst appThm 7652 ref appThm appThm nil 1116 ref 187 ref 8726 remove 7367 ref appTerm appTerm 192 ref appTerm 8851 def nil cons cons 7646 ref 1003 ref 2714 ref 7367 ref appTerm nil cons cons nil cons cons cons nil cons cons 4718 ref subst trans sym 4701 ref nil 8849 remove nil cons cons 1210 ref subst appThm 8851 remove refl appThm sym 698 ref 8698 ref appTerm refl 8850 remove 1169 ref subst appThm nil 8808 remove 8807 remove nil cons cons nil cons cons 4727 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 8843 ref nil cons cons 8565 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 8843 remove appTerm nil cons cons 400 ref 8842 remove 703 ref appTerm nil cons 8852 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 7823 ref 1006 ref 8781 ref cons nil cons cons nil cons cons 4776 ref subst eqMp nil 399 ref 8852 remove cons 400 ref 8841 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 707 ref 8781 remove cons nil cons nil cons cons 7881 remove subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 435 ref 8817 remove cons 437 ref 8692 remove cons nil cons 8853 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp proveHyp eqMp eqMp proveHyp eqMp nil 435 ref 8762 remove cons 8853 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 435 ref 8731 remove cons 8853 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 8724 remove cons 8853 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 8717 ref 4832 ref appTerm appTerm 8689 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 8718 remove appTerm 8689 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8717 remove nil cons cons 8853 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 8691 remove cons 8853 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 399 ref 8674 ref nil cons cons 8854 def 400 ref 41 ref 8676 ref appTerm 8591 ref appTerm 8855 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 8675 ref refl 8547 remove refl 8610 remove assume appThm appThm appThm 8592 remove appThm sym nil 399 ref 8675 remove 8548 ref appTerm 8856 def nil cons 8857 def cons 8679 remove cons nil cons cons 8858 def 416 ref subst 8858 remove 467 ref subst 129 ref "_47757" 14 ref var 8859 def 8583 ref 187 ref 8859 remove varTerm appTerm 8590 ref appTerm appTerm absTerm 8860 def 8548 ref appTerm 8861 def appTerm refl 8860 ref 8521 remove appTerm betaConv appThm 439 ref 8861 remove betaConv appThm 8583 ref 8522 ref 8590 remove appTerm appTerm 8862 def refl appThm trans 8860 remove refl 8856 remove assume sym appThm eqMp sym 8426 ref 708 ref appTerm 8863 def betaConv nil 399 ref 17 ref 8426 remove appTerm nil cons cons 400 ref 8863 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 8427 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8428 remove cons 400 ref 8862 ref nil cons 8864 def cons nil cons 8865 def cons nil cons cons 459 ref subst proveHyp nil 7900 ref 400 ref 41 ref 8424 ref appTerm 8862 ref appTerm 8866 def nil cons cons nil cons cons nil cons cons 467 ref subst nil 399 ref 8429 ref cons 8865 remove cons nil cons cons 8867 def 416 ref subst 8867 remove 467 ref subst 129 ref "_47759" 2 ref var 8868 def 8583 ref 8522 remove 8524 remove 8257 remove 8581 remove 2828 ref 8868 remove varTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm 8869 def 8423 remove appTerm 8870 def appTerm refl 8869 ref 8419 remove appTerm betaConv appThm 439 ref 8870 remove betaConv appThm 8583 remove 8582 ref appTerm refl appThm trans 8869 remove refl 8424 remove assume sym appThm eqMp sym nil 475 ref 8582 remove nil cons cons nil cons nil cons cons 1281 ref subst sym 154 ref eqMp eqMp eqMp nil 435 ref 8429 remove cons 437 ref 8864 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 7882 remove appTerm 8871 def 8866 remove appTerm nil cons cons 400 ref 41 ref 8425 remove appTerm 8862 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 8864 remove cons 8430 remove 7900 remove nil cons 8872 def cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 435 ref 8857 remove cons 437 ref 8678 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 399 ref 42 ref 8674 remove appTerm 8855 remove appTerm nil cons cons 400 ref 41 ref 8677 remove appTerm 8591 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 8678 remove cons 400 ref 8676 remove nil cons cons 8854 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp proveHyp proveHyp eqMp eqMp nil 435 ref 8580 remove cons 437 ref 8585 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 399 ref 42 ref 8566 remove appTerm 8574 remove appTerm nil cons cons 400 ref 41 ref 8570 remove appTerm 8563 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 8571 remove cons 400 ref 8569 remove nil cons cons 8573 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 435 ref 8352 remove cons 437 ref 8556 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 8871 remove 8558 remove appTerm nil cons cons 400 ref 41 ref 8348 remove appTerm 8555 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 8556 ref cons 8353 remove 8872 remove cons cons nil cons cons 2139 ref subst eqMp eqMp nil 399 ref 8556 remove cons 400 ref 180 ref 8553 ref appTerm 8536 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 1131 ref nil 1116 ref 8535 remove nil cons cons 1003 ref 8551 ref nil cons 8873 def cons 1006 ref 8548 remove nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 8578 ref 1003 ref 8380 ref cons 8874 def 1006 ref 8549 ref 8551 ref appTerm 8875 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans 1368 ref 1368 ref 8577 ref 4254 ref 7759 ref 3238 ref 7645 ref 8796 ref appThm appThm 7650 ref appThm appThm 8876 def 8796 remove appThm appThm 8606 ref appThm appThm appThm 8346 ref refl 8877 def appThm appThm 8534 remove refl 8878 def appThm trans appThm nil 8578 ref 8874 remove 1006 ref 8533 ref nil cons 8879 def cons nil cons cons cons nil cons cons 2078 ref subst 1368 ref 1368 ref 8876 remove 7712 ref appThm appThm 8877 remove appThm appThm 8878 remove appThm trans appThm nil 1003 ref 187 ref 7325 ref 2195 ref 7327 ref 187 ref 187 ref 5027 ref appTerm 8880 def 708 ref appTerm appTerm 192 ref appTerm 8881 def appTerm appTerm 1881 ref appTerm appTerm 8882 def 7329 ref appTerm 8883 def appTerm 8346 ref appTerm nil cons cons 8578 remove 1006 ref 187 ref 8549 remove 2800 ref 8882 remove 8881 remove appTerm appTerm 5027 ref appTerm appTerm 8884 def appTerm 8346 remove appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 8883 remove nil cons cons 1116 ref 8380 remove cons 1006 ref 8884 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans trans sym 1131 ref 8577 remove 4254 ref 7759 ref 3238 ref 7645 ref 8795 remove 1169 ref subst 8792 remove 1169 ref subst 8885 def trans 8886 def appThm appThm 7650 ref appThm appThm 8887 def 8886 remove appThm appThm 8606 ref appThm appThm appThm 8887 remove 7712 ref appThm appThm sym 695 ref 180 ref 187 ref 7326 ref 8533 ref appTerm 8888 def 710 ref appTerm appTerm 2800 ref 7325 ref 8533 ref appTerm 8889 def 710 ref appTerm appTerm 710 ref appTerm appTerm appTerm 8533 ref appTerm absTerm 8890 def 5027 ref appTerm 8891 def betaConv 1003 ref 17 ref 695 ref 180 ref 187 ref 7657 ref appTerm 2800 ref 7761 ref appTerm 710 ref appTerm appTerm appTerm 1011 ref appTerm absTerm appTerm absTerm 8892 def 8533 ref appTerm 8893 def betaConv nil 17 ref 8892 ref appTerm 8894 def axiom 8895 def nil 399 ref 8894 remove nil cons cons 8896 def 400 ref 8893 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8892 ref nil cons cons 8897 def 475 ref 8879 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 8890 ref appTerm nil cons cons 400 ref 8891 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8890 remove nil cons cons 8607 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 180 ref 187 ref 8888 remove 5027 ref appTerm appTerm 2800 ref 8889 remove 5027 ref appTerm appTerm 5027 ref appTerm appTerm 8898 def appTerm 8533 ref appTerm 8899 def nil cons 8900 def cons 400 ref 180 ref 8875 remove appTerm 8901 def 8533 ref appTerm nil cons 8902 def cons nil cons cons nil cons cons 8903 def 459 ref subst proveHyp 8903 ref 416 ref subst 8903 remove 467 ref subst 129 ref "_47739" 14 ref var 8904 def 8901 ref 8904 remove varTerm appTerm absTerm 8905 def 8533 remove appTerm 8906 def appTerm refl 8905 ref 8898 ref appTerm betaConv appThm 439 ref 8906 remove betaConv appThm 8901 remove 8898 remove appTerm refl appThm trans 8905 remove refl 8899 remove assume sym appThm eqMp sym 1131 ref 1368 ref nil 7366 ref 8331 ref cons 8907 def 7717 remove cons nil cons cons 695 ref 180 ref 7326 ref 7761 remove appTerm 7367 ref appTerm 8908 def appTerm 7325 ref 7656 remove 8697 remove 710 ref appTerm appTerm appTerm 710 ref appTerm 8909 def appTerm 8910 def absTerm 8911 def 710 ref appTerm 8912 def betaConv 7366 ref 17 ref 8911 ref appTerm 8913 def absTerm 8914 def 7367 ref appTerm 8915 def betaConv 1003 ref 17 ref 8914 ref appTerm 8916 def absTerm 8917 def 1011 ref appTerm 8918 def betaConv 603 ref 1003 ref 603 ref 7366 ref 603 ref 695 ref 8910 remove assume sym 180 ref 8909 remove appTerm 8908 remove appTerm 8919 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 17 ref 1003 ref 17 ref 7366 ref 17 ref 695 ref 8919 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 17 ref 8917 ref appTerm nil cons cons 400 ref 8918 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8917 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8916 remove nil cons cons 400 ref 8915 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8914 remove nil cons cons 7389 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8913 remove nil cons cons 400 ref 8912 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8911 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 8920 def subst appThm 8551 ref refl appThm appThm 1368 ref nil 8907 remove 7655 remove 1003 ref 8531 ref nil cons cons nil cons 8921 def cons cons nil cons cons 8920 remove subst appThm 4254 ref nil 4256 ref 8331 ref cons 8922 def 4257 ref 7654 ref cons 8921 remove cons cons nil cons cons 4256 ref 180 ref 7325 ref 7627 ref 4260 ref appTerm appTerm 4261 ref appTerm 8923 def appTerm 7627 remove 4264 remove appTerm 8924 def appTerm 8925 def absTerm 8926 def 4261 ref appTerm 8927 def betaConv 4257 ref 17 ref 8926 ref appTerm 8928 def absTerm 8929 def 4260 ref appTerm 8930 def betaConv 1003 ref 17 ref 8929 ref appTerm 8931 def absTerm 8932 def 1011 ref appTerm 8933 def betaConv 603 ref 1003 ref 603 ref 4257 ref 603 ref 4256 ref 8925 remove assume sym 180 ref 8924 remove appTerm 8923 remove appTerm 8934 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 17 ref 1003 ref 17 ref 4257 ref 17 ref 4256 ref 8934 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 17 ref 8932 ref appTerm nil cons cons 400 ref 8933 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8932 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8931 remove nil cons cons 400 ref 8930 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8929 remove nil cons cons 4278 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8928 remove nil cons cons 400 ref 8927 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8926 remove nil cons cons 4280 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 8606 ref appThm appThm appThm sym 1131 ref nil 8332 ref 8835 ref cons nil cons cons 1210 ref subst appThm 8518 ref refl 8935 def appThm sym 8885 ref eqMp 129 ref "_47741" 14 ref var 8936 def 180 ref 187 ref 7325 ref 7890 remove 8880 ref 7329 ref appTerm 8937 def appTerm appTerm 7329 ref appTerm 8938 def appTerm 8551 ref appTerm appTerm 8939 def 187 ref 7325 ref 7326 ref 8531 remove appTerm 8940 def 8937 remove appTerm appTerm 7329 ref appTerm 8941 def appTerm 8942 def 2800 ref 8532 remove 8936 remove varTerm appTerm appTerm 5027 ref appTerm appTerm appTerm absTerm 8943 def 8838 ref 5027 ref appTerm 8944 def appTerm 8945 def appTerm refl 8943 ref 8518 ref appTerm betaConv appThm 439 ref 8945 remove betaConv appThm 8939 remove 8942 remove 8551 remove appTerm appTerm refl appThm trans 8943 remove refl 180 ref 8944 remove appTerm 8518 ref appTerm assume appThm eqMp sym nil 1003 ref 8941 remove nil cons cons 1116 ref 8873 remove cons 1006 ref 8938 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst 1131 ref 7759 ref 8145 remove 8885 ref appThm appThm 7712 ref appThm appThm 7759 ref 8940 remove refl 8885 remove appThm appThm 7712 ref appThm appThm trans sym 1131 ref 7759 ref nil 695 ref 8786 remove cons 8946 def 6210 remove cons nil cons cons 7702 ref subst appThm 7712 ref appThm appThm 7759 ref nil 8946 ref 6199 remove 1006 ref 8529 remove nil cons cons nil cons cons cons nil cons cons 7702 remove subst appThm 7712 ref appThm appThm sym 180 ref 7325 ref 7326 ref 8530 remove 7711 remove 8518 ref appTerm 8947 def appTerm appTerm 8518 remove appTerm appTerm 7329 ref appTerm 8948 def appTerm refl 7759 ref 7703 ref 3238 ref nil 8946 remove 4360 ref cons nil cons cons 7710 remove subst appThm 8947 remove refl appThm appThm 8935 remove appThm appThm 7712 ref appThm appThm nil 475 ref 8948 remove nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp proveHyp eqMp eqMp eqMp nil 435 ref 8900 remove cons 437 ref 8902 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 8544 ref nil cons cons 475 ref 8553 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 8544 remove appTerm nil cons cons 8542 remove cons nil cons cons 459 ref subst proveHyp nil 1876 ref 8536 remove nil cons cons 475 ref 8527 remove nil cons cons nil cons cons nil cons cons 4829 ref subst eqMp eqMp nil 8112 remove 437 ref 8541 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp 8539 ref 193 ref appTerm 8949 def betaConv nil 399 ref 17 ref 8539 remove appTerm nil cons cons 400 ref 8949 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 8540 remove 7938 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 7960 ref 193 ref appTerm appTerm 180 ref 187 ref 726 ref 8517 ref 713 ref 699 ref 700 ref 701 ref 4546 ref 192 ref appTerm 8950 def appTerm appTerm 8951 def appTerm appTerm appTerm appTerm appTerm 187 ref 2800 ref 187 ref 726 ref 7321 ref 713 ref 704 ref appTerm 8952 def appTerm appTerm 8953 def appTerm 2196 ref 726 ref 7322 ref 8952 ref appTerm appTerm 8954 def appTerm 8955 def appTerm appTerm 5027 ref appTerm appTerm 8956 def 187 ref 187 ref 726 ref 8255 ref 8952 ref appTerm 8957 def appTerm 8958 def appTerm 8959 def 2196 ref 726 ref 8258 ref 8952 ref appTerm 8960 def appTerm 8961 def appTerm 8962 def appTerm appTerm 2828 ref 8418 ref 8952 ref appTerm 8963 def appTerm 8964 def appTerm appTerm appTerm appTerm 187 ref 7325 ref 2195 ref 7327 ref 8951 remove appTerm appTerm 1881 ref appTerm appTerm 8950 ref appTerm appTerm 187 ref 7325 ref 2195 ref 8262 ref 8950 ref appTerm appTerm 1011 ref appTerm appTerm 8950 ref appTerm appTerm 2828 ref 77 ref 180 ref 8421 ref 8950 ref appTerm appTerm 191 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm nil cons cons 7044 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 3213 ref nil cons cons 4700 ref subst appThm 1131 ref 1368 ref 3190 ref 8517 ref refl 8965 def 7837 ref 1223 ref 1229 ref 2129 remove appThm 8966 def appThm appThm appThm appThm appThm 8956 ref refl nil 1116 ref 8964 ref nil cons 8967 def cons 8968 def 1003 ref 8962 ref nil cons cons 8969 def 1006 ref 8958 ref nil cons 8970 def cons nil cons 8971 def cons cons nil cons cons 1169 ref subst appThm appThm appThm 1368 ref 7759 ref 3238 ref 7645 remove 8966 remove appThm appThm 7650 remove appThm appThm 2128 ref appThm appThm 1368 ref 7759 ref 3238 ref 8375 remove 2128 ref appThm appThm 1703 ref appThm appThm 2128 ref appThm appThm 4005 ref 620 ref 1131 ref 8421 ref refl 2128 remove appThm appThm 1266 ref appThm appThm appThm appThm appThm appThm appThm nil 150 ref 180 ref 187 ref 726 ref 8517 ref 6952 ref appTerm 8972 def appTerm 8973 def appTerm 8974 def 8956 remove 8959 ref 187 ref 8962 remove appTerm 8964 ref appTerm 8975 def appTerm 8976 def appTerm appTerm appTerm 8977 def 187 ref 7325 ref 2195 ref 7327 remove 750 ref appTerm 8978 def appTerm 1881 ref appTerm appTerm 208 ref appTerm appTerm 187 ref 7325 ref 2195 ref 8262 remove 208 ref appTerm appTerm 1011 ref appTerm appTerm 208 ref appTerm appTerm 2828 ref 77 ref 180 ref 8421 remove 208 ref appTerm appTerm 191 ref appTerm appTerm appTerm appTerm 8979 def appTerm appTerm nil cons cons nil cons nil cons cons 614 ref subst trans appThm 7070 remove appThm sym nil 695 ref 750 ref nil cons 8980 def cons 4360 remove cons nil cons cons 695 ref 129 ref 180 ref 7657 remove appTerm 1011 ref appTerm 8981 def appTerm 6155 remove appTerm 8982 def absTerm 8983 def 710 ref appTerm 8984 def betaConv 1003 ref 17 ref 8983 ref appTerm 8985 def absTerm 8986 def 1011 ref appTerm 8987 def betaConv nil 17 ref 8986 ref appTerm 8988 def axiom 8989 def nil 399 ref 8988 remove nil cons cons 400 ref 8987 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8986 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8985 remove nil cons cons 400 ref 8984 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 8983 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp subst sym 1003 ref 42 ref 2189 ref 1011 ref appTerm appTerm 4352 ref 750 ref appTerm appTerm absTerm 8990 def 208 ref appTerm betaConv sym 625 ref 6224 remove appThm 698 ref 208 ref appTerm refl nil 2085 ref 8334 ref cons nil cons cons 2078 ref subst nil 1219 ref 2091 ref 8794 ref cons cons nil cons cons 2078 ref subst trans appThm nil 1116 ref 8880 ref 188 ref appTerm nil cons cons 1214 remove 4196 ref cons cons nil cons cons 4718 ref subst nil 8793 ref 4196 ref cons nil cons cons 4727 ref subst trans trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 8990 ref nil cons cons 4160 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 8990 remove appTerm nil cons cons 400 ref 2189 remove 750 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 8980 ref cons 8991 def 4369 remove nil cons cons nil cons cons 4776 ref subst eqMp eqMp 129 ref "_47761" 14 ref var 8992 def 41 ref 8977 ref 187 ref 7325 ref 2195 ref 8992 remove varTerm appTerm 1881 ref appTerm appTerm 208 ref appTerm appTerm 8979 ref appTerm appTerm appTerm 6957 ref appTerm absTerm 8993 def 8978 ref appTerm 8994 def appTerm refl 8993 ref 689 ref appTerm betaConv appThm 439 ref 8994 remove betaConv appThm 41 ref 8977 ref 187 ref 8545 remove 208 ref appTerm appTerm 8995 def 8979 remove appTerm 8996 def appTerm appTerm 6957 ref appTerm 8997 def refl 8998 def appThm trans 8993 remove refl 180 ref 8978 remove appTerm 689 ref appTerm assume appThm eqMp sym 3390 ref 41 ref 6909 ref appTerm 8999 def 180 ref 4869 remove 3392 ref appTerm 9000 def appTerm 187 ref 7325 ref 3392 ref appTerm 9001 def 208 ref appTerm appTerm 187 ref 7325 ref 2195 ref 7326 ref 2195 ref 3392 ref appTerm 9002 def 710 ref appTerm appTerm 9003 def 208 ref appTerm appTerm 1011 ref appTerm appTerm 208 ref appTerm appTerm 2828 ref 77 ref 180 ref 7326 ref 9002 ref 6907 ref appTerm appTerm 9004 def 208 ref appTerm appTerm 191 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm 9005 def 4861 ref appTerm 9006 def betaConv 695 ref 17 ref 9005 ref appTerm 9007 def absTerm 9008 def 710 ref appTerm 9009 def betaConv 6901 ref 17 ref 9008 ref appTerm 9010 def absTerm 9011 def 6903 ref appTerm 9012 def betaConv 168 ref 17 ref 6901 ref 17 ref 695 ref 17 ref 3390 ref 41 ref 180 ref 2195 ref 2218 ref appTerm 6903 ref appTerm appTerm 6908 ref appTerm appTerm 180 ref 4867 remove 2218 remove appTerm 710 ref appTerm 3392 ref appTerm appTerm 187 ref 9001 remove 188 ref appTerm appTerm 187 ref 7325 ref 2195 ref 9003 remove 188 ref appTerm appTerm 1011 ref appTerm appTerm 188 ref appTerm appTerm 2828 ref 77 ref 180 ref 9004 remove 188 ref appTerm appTerm 191 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9013 def 208 ref appTerm 9014 def betaConv 1003 ref 17 ref 9013 ref appTerm 9015 def absTerm 9016 def 1011 ref appTerm 9017 def betaConv nil 17 ref 9016 ref appTerm 9018 def axiom nil 399 ref 9018 remove nil cons cons 400 ref 9017 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9016 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9015 remove nil cons cons 400 ref 9014 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9013 remove nil cons cons 4160 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9011 ref appTerm nil cons cons 400 ref 9012 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9011 remove nil cons cons 475 ref 6903 ref nil cons 9019 def cons nil cons 9020 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9010 remove nil cons cons 400 ref 9009 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9008 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9007 remove nil cons cons 400 ref 9006 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9005 remove nil cons cons 7992 remove nil cons 9021 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 8999 remove 180 ref 4870 ref appTerm 9022 def 8995 ref 187 ref 7325 ref 2195 ref 7326 ref 8149 remove appTerm 208 ref appTerm appTerm 1011 ref appTerm appTerm 208 ref appTerm appTerm 2828 ref 77 ref 180 ref 7326 ref 8148 ref 6907 ref appTerm appTerm 208 ref appTerm appTerm 191 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm nil cons cons 400 ref 8997 remove nil cons 9023 def cons nil cons 9024 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 1131 ref 6909 ref assume 9025 def appThm 6908 ref refl appThm nil 475 ref 6908 ref nil cons 9026 def cons nil cons nil cons cons 1281 ref subst trans 9027 def appThm 9022 ref refl 8995 remove refl 1368 ref 7759 ref 3238 ref 7703 ref 8152 remove 1116 ref 180 ref 8154 remove appTerm 8153 remove appTerm 9028 def absTerm 9029 def 1117 ref appTerm 9030 def betaConv 1003 ref 17 ref 9029 ref appTerm 9031 def absTerm 9032 def 1011 ref appTerm 9033 def betaConv 1006 ref 17 ref 9032 ref appTerm 9034 def absTerm 9035 def 1009 ref appTerm 9036 def betaConv 603 ref 1006 ref 603 ref 1003 ref 603 ref 1116 ref 9028 remove assume sym 8155 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 8165 remove eqMp nil 399 ref 17 ref 9035 ref appTerm nil cons cons 400 ref 9036 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9035 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9034 remove nil cons cons 400 ref 9033 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9032 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9031 remove nil cons cons 400 ref 9030 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9029 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 9037 def subst appThm 208 ref refl 9038 def appThm appThm 1703 ref appThm appThm 9038 ref appThm appThm 4005 ref 620 ref 1131 ref 7703 remove 8416 remove 9037 ref subst appThm 9038 ref appThm appThm 1266 ref appThm appThm appThm appThm appThm appThm appThm nil 150 ref 9022 ref 8996 ref appTerm 9039 def nil cons 9040 def cons nil cons nil cons cons 614 ref subst trans appThm 8998 remove appThm sym nil 399 ref 9040 ref cons 9024 remove cons nil cons cons 9041 def 416 ref subst 9041 remove 467 ref subst 129 ref "_47763" 14 ref var 9042 def 41 ref 8977 ref 9042 remove varTerm appTerm appTerm 6957 ref appTerm absTerm 9043 def 8996 remove appTerm 9044 def appTerm refl 9043 ref 4870 ref appTerm betaConv appThm 439 ref 9044 remove betaConv appThm 41 ref 8977 ref 4870 ref appTerm appTerm 6957 ref appTerm 9045 def refl appThm trans 9043 remove refl 9039 remove assume sym appThm eqMp sym nil 160 ref 3390 ref 17 ref 3391 ref 129 ref 180 ref 187 ref 2800 ref 3392 ref appTerm 9046 def 5301 ref appTerm appTerm 3393 ref appTerm appTerm 9047 def 4870 ref appTerm appTerm 42 ref 180 ref 3392 ref appTerm 191 ref appTerm 9048 def appTerm 9049 def 180 ref 3393 ref appTerm 9050 def 4870 ref appTerm 9051 def appTerm 9052 def appTerm 9053 def absTerm 9054 def appTerm 9055 def absTerm 9056 def nil cons cons nil cons nil cons cons 164 ref subst 3390 ref nil 150 ref 9055 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 9054 remove nil cons cons nil cons nil cons cons 164 ref subst 3391 ref nil 150 ref 9053 remove nil cons cons nil cons nil cons cons 155 ref subst 180 ref 5301 ref appTerm 9057 def refl 9058 def nil 1219 ref 6610 ref cons nil cons cons 1169 ref subst 1229 ref nil 1219 ref 6623 ref cons nil cons cons 1169 ref subst 1235 ref nil 1219 ref 6627 ref cons nil cons cons 1169 ref subst 6578 ref nil 4542 ref nil cons cons 2023 ref 1011 ref appTerm 9059 def betaConv 2025 ref 1009 ref appTerm 9060 def betaConv 2043 remove 2045 remove 451 ref subst proveHyp nil 399 ref 2044 remove cons 400 ref 9060 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2025 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2024 remove nil cons cons 400 ref 9059 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2023 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst 2110 ref 2126 ref appThm trans 9061 def appThm trans appThm trans appThm trans appThm nil 475 ref 5301 ref nil cons cons nil cons nil cons cons 1281 ref subst 9062 def trans sym 154 ref eqMp 129 ref "_47765" 14 ref var 9063 def 129 ref 180 ref 187 ref 9046 ref 9063 remove varTerm appTerm appTerm 3393 ref appTerm appTerm 4870 ref appTerm appTerm 9052 ref appTerm absTerm 9064 def 5301 ref appTerm 9065 def appTerm refl 9064 ref 187 ref 5277 ref appTerm 207 ref appTerm 9066 def appTerm betaConv appThm 439 ref 9065 remove betaConv appThm 129 ref 180 ref 187 ref 9046 ref 9066 ref appTerm appTerm 3393 ref appTerm appTerm 4870 ref appTerm appTerm 9052 ref appTerm 9067 def refl 9068 def appThm trans 9064 remove refl 9057 ref 9066 remove appTerm assume appThm eqMp sym nil 5972 remove 400 ref 9067 remove nil cons 9069 def cons nil cons 9070 def cons nil cons cons 459 ref subst 5974 remove 9068 remove appThm sym nil 5978 remove 9070 remove cons nil cons cons 9071 def 416 ref subst 9071 remove 467 ref subst 129 ref "_47767" 14 ref var 9072 def 129 ref 180 ref 187 ref 9046 ref 187 ref 9072 remove varTerm appTerm 207 ref appTerm appTerm appTerm 3393 ref appTerm appTerm 4870 ref appTerm appTerm 9052 ref appTerm absTerm 9073 def 5277 ref appTerm 9074 def appTerm refl 9073 ref 188 ref appTerm betaConv appThm 439 ref 9074 remove betaConv appThm 129 ref 180 ref 187 ref 9046 remove 208 ref appTerm appTerm 3393 ref appTerm 9075 def appTerm 9076 def 4870 ref appTerm 9077 def appTerm 9052 ref appTerm refl appThm trans 9073 remove refl 6026 remove appThm eqMp sym nil 399 ref 9077 ref nil cons 9078 def cons 400 ref 9052 ref nil cons 9079 def cons nil cons 9080 def cons nil cons cons 9081 def 1924 ref subst 9081 ref 416 ref subst 9081 remove 467 ref subst nil 399 ref 9048 ref nil cons 9082 def cons 400 ref 9051 ref nil cons 9083 def cons nil cons 9084 def cons nil cons cons 9085 def 416 ref subst 9085 remove 467 ref subst 129 ref "_47955" 14 ref var 9086 def 180 ref 187 ref 2800 ref 9086 remove varTerm appTerm 208 ref appTerm appTerm 3393 ref appTerm appTerm 4870 ref appTerm absTerm 9087 def 3392 ref appTerm 9088 def appTerm refl 9087 ref 191 ref appTerm betaConv appThm 439 ref 9088 remove betaConv appThm 180 ref 187 ref 2800 ref 191 ref appTerm 9089 def 208 ref appTerm appTerm 3393 ref appTerm appTerm 4870 ref appTerm 9090 def refl appThm trans 9087 remove refl 9048 ref assume 9091 def appThm eqMp 9077 ref assume 9092 def eqMp nil 399 ref 9090 remove nil cons cons 9084 remove cons nil cons cons 459 ref subst proveHyp 165 ref 1131 ref 1368 ref nil 6154 ref nil cons nil cons cons 695 ref 180 ref 9089 remove 710 ref appTerm appTerm 191 ref appTerm absTerm 9093 def 710 ref appTerm 9094 def betaConv nil 17 ref 9093 ref appTerm 9095 def axiom nil 399 ref 9095 remove nil cons cons 400 ref 9094 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9093 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 9096 def subst 9097 def appThm 3393 ref refl appThm nil 1003 ref 3427 ref cons nil cons nil cons cons 1264 ref subst trans appThm 4870 ref refl 9098 def appThm appThm 9051 ref refl appThm nil 150 ref 9083 ref cons nil cons nil cons cons 6664 ref subst trans sym 154 ref eqMp eqMp eqMp nil 435 ref 9082 ref cons 9099 def 437 ref 9083 ref cons nil cons cons nil cons cons 9100 def 451 ref subst 9101 def deductAntisym eqMp nil 399 ref 41 ref 9048 ref appTerm 9051 ref appTerm 9102 def nil cons cons 400 ref 9082 ref cons nil cons 9103 def cons nil cons cons 467 ref subst proveHyp nil 6154 ref 1003 ref 4870 ref nil cons 9104 def cons nil cons 9105 def cons nil cons cons 695 ref 6156 remove 8981 remove appTerm 9106 def absTerm 9107 def 710 ref appTerm 9108 def betaConv 1003 ref 17 ref 9107 ref appTerm 9109 def absTerm 9110 def 1011 ref appTerm 9111 def betaConv 603 ref 1003 ref 603 ref 695 ref 9106 remove assume sym 8982 remove assume sym deductAntisym absThm appThm absThm appThm 8989 remove eqMp nil 399 ref 17 ref 9110 ref appTerm nil cons cons 400 ref 9111 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9110 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9109 remove nil cons cons 400 ref 9108 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9107 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp subst 4872 ref assume eqMp sym nil 399 ref 9022 remove 7326 ref 4870 ref appTerm 208 ref appTerm appTerm nil cons cons 9103 ref cons nil cons cons 459 ref subst proveHyp 129 ref "_47957" 14 ref var 9112 def 41 ref 180 ref 9112 remove varTerm 9113 def appTerm 7326 ref 9113 remove appTerm 208 ref appTerm appTerm appTerm 9048 ref appTerm absTerm 9114 def 4870 ref appTerm 9115 def appTerm refl 9114 ref 9075 ref appTerm betaConv appThm 439 ref 9115 remove betaConv appThm 41 ref 9076 remove 7326 remove 9075 ref appTerm 9116 def 208 ref appTerm 9117 def appTerm appTerm 9048 ref appTerm 9118 def refl appThm trans 9114 remove refl 9092 remove sym appThm eqMp sym 695 ref 180 ref 187 ref 9116 remove 710 ref appTerm appTerm 2800 ref 7325 ref 9075 ref appTerm 9119 def 710 ref appTerm appTerm 710 ref appTerm appTerm appTerm 9075 ref appTerm absTerm 9120 def 208 ref appTerm 9121 def betaConv 8892 remove 9075 ref appTerm 9122 def betaConv 8895 remove nil 8896 remove 400 ref 9122 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 8897 remove 475 ref 9075 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9120 ref appTerm nil cons cons 400 ref 9121 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9120 remove nil cons cons 4160 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 180 ref 187 ref 9117 ref appTerm 2800 ref 9119 remove 208 ref appTerm 9123 def appTerm 208 ref appTerm 9124 def appTerm appTerm 9075 remove appTerm 9125 def nil cons 9126 def cons 400 ref 9118 remove nil cons 9127 def cons nil cons cons nil cons cons 9128 def 459 ref subst proveHyp 9128 ref 416 ref subst 9128 remove 467 ref subst 165 ref 1131 ref 9125 remove assume sym appThm 9117 ref refl appThm appThm 9048 ref refl 9129 def appThm sym 165 ref nil 1003 ref 9124 remove nil cons cons 1006 ref 9117 remove nil cons cons nil cons cons nil cons cons 1003 ref 129 ref 1178 ref 1009 ref appTerm appTerm 2184 ref appTerm absTerm 9130 def 1011 ref appTerm 9131 def betaConv 1006 ref 17 ref 9130 ref appTerm 9132 def absTerm 9133 def 1009 ref appTerm 9134 def betaConv nil 17 ref 9133 ref appTerm 9135 def axiom nil 399 ref 9135 remove nil cons cons 400 ref 9134 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9133 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9132 remove nil cons cons 400 ref 9131 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9130 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst nil 6154 ref 1003 ref 9123 remove nil cons cons nil cons cons nil cons cons 1003 ref 129 ref 3221 remove 191 ref appTerm appTerm 2184 ref appTerm absTerm 9136 def 1011 ref appTerm 9137 def betaConv 695 ref 17 ref 9136 ref appTerm 9138 def absTerm 9139 def 710 ref appTerm 9140 def betaConv nil 17 ref 9139 ref appTerm 9141 def axiom nil 399 ref 9141 remove nil cons cons 400 ref 9140 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9139 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9138 remove nil cons cons 400 ref 9137 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9136 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst trans 1131 ref nil 4224 ref 3427 remove cons 6154 remove 4223 ref 3425 ref cons nil cons cons cons nil cons cons 695 ref 180 ref 7325 ref 187 ref 4229 ref appTerm 4226 ref appTerm appTerm 710 ref appTerm appTerm 187 ref 4228 ref appTerm 7325 ref 4226 ref appTerm 710 ref appTerm 9142 def appTerm appTerm absTerm 9143 def 710 ref appTerm 9144 def betaConv 4223 ref 17 ref 9143 ref appTerm 9145 def absTerm 9146 def 4228 ref appTerm 9147 def betaConv 4224 ref 17 ref 9146 ref appTerm 9148 def absTerm 9149 def 4226 remove appTerm 9150 def betaConv 603 ref 4224 ref 603 ref 4223 ref 603 ref 695 ref 1131 ref 7759 remove nil 1003 ref 4229 ref nil cons cons 1006 ref 4239 remove cons nil cons cons nil cons cons 1210 ref subst appThm 6340 ref appThm appThm nil 1003 ref 4241 remove cons 1006 ref 9142 ref nil cons cons nil cons cons nil cons cons 1210 ref subst appThm absThm appThm absThm appThm absThm appThm nil 17 ref 4224 ref 17 ref 4223 ref 17 ref 695 ref 180 ref 7325 ref 4227 remove 4229 remove appTerm appTerm 710 ref appTerm appTerm 187 ref 9142 remove appTerm 4228 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 17 ref 9149 ref appTerm nil cons cons 400 ref 9150 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9149 remove nil cons cons 4240 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9148 remove nil cons cons 400 ref 9147 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9146 remove nil cons cons 4242 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9145 remove nil cons cons 400 ref 9144 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9143 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 1266 ref appThm nil 1003 ref 7325 remove 3393 ref appTerm 208 ref appTerm 9151 def nil cons cons 1006 ref 3425 remove cons nil cons cons nil cons cons 6617 ref subst trans trans appThm 9129 remove appThm sym nil 399 ref 9049 ref 180 ref 9151 remove appTerm 191 ref appTerm 9152 def appTerm nil cons 9153 def cons 9103 remove cons nil cons cons 9154 def 416 ref subst 9154 remove 467 ref subst nil 9099 remove 437 ref 9152 remove nil cons cons nil cons cons nil cons cons 451 ref subst eqMp nil 435 ref 9153 remove cons 437 ref 9082 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 435 ref 9126 remove cons 437 ref 9127 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 399 ref 42 ref 9102 remove appTerm 9048 remove appTerm nil cons cons 9080 remove cons nil cons cons 459 ref subst proveHyp nil 7590 ref 9083 remove cons 611 ref 9082 remove cons nil cons cons nil cons cons nil 399 ref 129 ref 611 ref varTerm 9155 def appTerm 9156 def 1407 ref appTerm 9157 def nil cons 9158 def cons 9159 def 400 ref 41 ref 42 ref 41 ref 9155 ref appTerm 9160 def 7591 ref appTerm 9161 def appTerm 9155 ref appTerm appTerm 42 ref 9155 ref appTerm 9162 def 7591 ref appTerm 9163 def appTerm nil cons 9164 def cons nil cons 9165 def cons nil cons cons 9166 def 416 ref subst 9166 remove 467 ref subst 129 ref "_47709" 2 ref var 9167 def 41 ref 42 ref 41 ref 9167 remove varTerm 9168 def appTerm 7591 ref appTerm appTerm 9168 ref appTerm appTerm 42 ref 9168 remove appTerm 7591 ref appTerm appTerm absTerm 9169 def 9155 ref appTerm 9170 def appTerm refl 9171 def 9169 ref 1407 ref appTerm betaConv appThm 439 ref 9170 remove betaConv appThm 9172 def 41 ref 42 ref 1859 ref 7591 ref appTerm 9173 def appTerm 1407 ref appTerm appTerm 1498 ref 7591 ref appTerm 9174 def appTerm refl appThm trans 9169 remove refl 9175 def 9157 remove assume 9176 def appThm eqMp sym 165 ref nil 150 ref 9173 ref nil cons cons nil cons nil cons cons 9177 def 6632 ref subst appThm nil 150 ref 7591 ref nil cons 9178 def cons nil cons nil cons cons 9179 def 1506 ref subst 9180 def appThm 6654 ref trans sym 154 ref eqMp eqMp eqMp nil 435 ref 9158 ref cons 9181 def 437 ref 9164 ref cons nil cons 9182 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 9156 ref 140 ref appTerm 9183 def nil cons 9184 def cons 9185 def 9165 remove cons nil cons cons 9186 def 416 ref subst 9186 remove 467 ref subst 9171 remove "_47707" 2 ref var 9187 def 41 ref 42 ref 41 ref 9187 remove varTerm 9188 def appTerm 7591 ref appTerm appTerm 9188 ref appTerm appTerm 42 ref 9188 remove appTerm 7591 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 9172 remove 41 ref 42 ref 604 ref 7591 ref appTerm 9189 def appTerm 140 ref appTerm appTerm 629 ref 7591 ref appTerm 9190 def appTerm refl appThm trans 9175 remove 9183 remove assume 9191 def appThm eqMp sym 165 ref nil 150 ref 9189 ref nil cons cons nil cons nil cons cons 9192 def 1105 ref subst 9179 ref 614 ref subst 9193 def trans appThm 9179 ref 633 ref subst 9194 def appThm 9179 ref 6664 ref subst 9195 def trans sym 154 ref eqMp eqMp eqMp nil 435 ref 9184 remove cons 9196 def 9182 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 9155 ref appTerm 9197 def betaConv 1548 ref nil 1549 ref 400 ref 9197 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 9155 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 9198 def nil 9196 ref 437 ref 9158 remove cons 9199 def 1553 ref 9164 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp nil 435 ref 9078 ref cons 437 ref 9079 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 41 ref 9077 ref appTerm 9052 ref appTerm nil cons cons 400 ref 41 ref 9052 remove appTerm 9077 remove appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 9079 ref cons 400 ref 9078 ref cons nil cons cons nil cons cons 9200 def 416 ref subst 9200 remove 467 ref subst 9101 remove 9100 remove 515 ref subst 1368 ref 4254 ref 9091 remove appThm 9038 remove appThm 9097 remove trans appThm 9051 remove assume appThm nil 9105 remove nil cons cons 1264 ref subst trans proveHyp proveHyp eqMp nil 435 ref 9079 remove cons 437 ref 9078 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 6668 remove 437 ref 9069 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp absThm eqMp eqMp absThm eqMp nil 399 ref 17 ref 9056 remove appTerm nil cons cons 400 ref 9045 remove nil cons cons nil cons cons nil cons cons 459 ref subst 1006 ref 41 ref 17 ref 3390 ref 17 ref 3391 ref 129 ref 9047 remove 1009 ref appTerm appTerm 9049 remove 9050 remove 1009 ref appTerm appTerm appTerm absTerm 9201 def appTerm 9202 def absTerm 9203 def appTerm 9204 def appTerm 41 ref 8977 remove 1009 ref appTerm appTerm 6956 remove 1009 ref appTerm 9205 def appTerm 9206 def appTerm 9207 def absTerm 9208 def 4870 ref appTerm 9209 def betaConv nil 160 ref 9208 ref nil cons cons 9210 def nil cons nil cons cons 164 ref subst 1006 ref nil 150 ref 9207 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 9204 remove nil cons 9211 def cons 9212 def 400 ref 9206 remove nil cons 9213 def cons nil cons cons nil cons cons 9214 def 416 ref subst 9214 remove 467 ref subst 470 ref 167 ref 695 ref 2721 ref 5300 ref appTerm 5040 ref appTerm absTerm appTerm absTerm 9215 def 234 ref appTerm betaConv sym 695 ref 5038 ref 710 ref appTerm 9216 def 5300 ref appTerm 5040 ref appTerm absTerm 9217 def 191 ref appTerm betaConv sym 5314 ref assume 9218 def eqMp 162 ref 160 ref 9217 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 9215 ref nil cons cons 470 ref 7432 remove cons nil cons 9219 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 9215 remove appTerm nil cons cons 400 ref 180 ref 181 ref 5040 ref appTerm appTerm 5300 ref appTerm 9220 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1003 ref 5300 ref nil cons 9221 def cons 9222 def 2661 ref 5040 ref nil cons 9223 def cons nil cons cons nil cons cons 3819 ref subst eqMp 165 ref 1131 ref 8974 ref refl 9224 def 1368 ref nil 695 ref 8331 ref cons 9225 def 4223 ref 8955 ref nil cons cons 4224 ref 8953 ref nil cons cons nil cons cons cons nil cons cons 4243 ref subst appThm 8976 ref refl appThm nil 1116 ref 8976 ref nil cons cons 9226 def 1003 ref 2800 ref 8955 remove appTerm 5027 ref appTerm 9227 def nil cons cons 9228 def 1006 ref 2800 ref 8953 remove appTerm 5027 ref appTerm 9229 def nil cons cons nil cons cons cons nil cons cons 1169 ref subst trans appThm appThm 1009 ref refl 9230 def appThm appThm 9205 ref refl 9231 def appThm sym 2661 ref 41 ref 5313 remove 2667 ref appTerm appTerm 167 ref 1014 ref 172 ref "p" 8 ref var 9232 def 172 ref "q" 8 ref var 9233 def 42 ref 236 ref 1259 ref 187 ref 5300 ref appTerm 1017 ref appTerm 9234 def appTerm appTerm appTerm 9235 def 42 ref 5039 ref 191 ref appTerm 9232 ref varTerm 9236 def appTerm appTerm 9237 def 42 ref 5038 ref 1259 ref 5300 ref appTerm appTerm 1017 ref appTerm 9233 ref varTerm 9238 def appTerm appTerm 9239 def 2666 ref 234 ref appTerm 9240 def 2662 ref 9236 ref appTerm 9241 def 2723 remove 9238 ref appTerm appTerm 9242 def appTerm 9243 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 9244 def 5040 ref appTerm 9245 def betaConv 1003 ref 11 ref 2661 ref 41 ref 5039 ref 1011 ref appTerm 2667 ref appTerm appTerm 167 ref 1014 ref 172 ref 9232 ref 172 ref 9233 ref 42 ref 236 ref 1259 ref 1083 ref 1017 ref appTerm 9246 def appTerm 9247 def appTerm appTerm 9237 ref 42 ref 5038 ref 1260 ref appTerm 1017 ref appTerm 9238 ref appTerm appTerm 9243 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm 9248 def 5300 ref appTerm 9249 def betaConv 695 ref 17 ref 1003 ref 11 ref 2661 ref 41 ref 9216 remove 1011 ref appTerm 2667 ref appTerm appTerm 167 ref 1014 ref 172 ref 9232 ref 172 ref 9233 ref 42 ref 236 ref 2265 ref 9246 remove appTerm 9250 def appTerm appTerm 42 ref 5039 remove 710 ref appTerm 9236 ref appTerm appTerm 42 ref 5038 ref 2265 remove 1011 ref appTerm 9251 def appTerm 1017 ref appTerm 9238 ref appTerm appTerm 9243 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9252 def 191 ref appTerm 9253 def betaConv 470 ref 17 ref 695 ref 17 ref 1003 ref 11 ref 2661 ref 3775 remove 167 ref 1014 ref 172 ref 9232 ref 172 ref 9233 ref 42 ref 8602 remove 9250 ref appTerm appTerm 42 ref 2671 remove 710 ref appTerm 9236 ref appTerm appTerm 42 ref 2670 remove 9251 ref appTerm 1017 ref appTerm 9238 ref appTerm appTerm 2666 ref 653 ref appTerm 9242 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9254 def 234 ref appTerm 9255 def betaConv nil 11 ref 9254 ref appTerm 9256 def axiom 9257 def nil 399 ref 9256 remove nil cons cons 9258 def 400 ref 9255 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9254 ref nil cons cons 9259 def 9219 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9252 ref appTerm nil cons cons 400 ref 9253 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9252 remove nil cons cons 1276 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9248 ref appTerm nil cons cons 400 ref 9249 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9248 remove nil cons cons 475 ref 9221 ref cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 9244 ref appTerm nil cons cons 400 ref 9245 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9244 remove nil cons cons 470 ref 9223 remove cons nil cons 9260 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 5314 remove appTerm 167 ref 1014 ref 172 ref 9232 ref 172 ref 9233 ref 9235 remove 9237 remove 9239 remove 9240 ref 9241 ref 2662 ref 5040 ref appTerm 9261 def 9238 ref appTerm 9262 def appTerm appTerm 9263 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm nil cons cons 400 ref 41 ref 180 ref 8974 ref 187 ref 9229 remove appTerm 187 ref 9227 ref appTerm 8976 remove appTerm 9264 def appTerm appTerm appTerm 1009 ref appTerm appTerm 9205 ref appTerm 9265 def nil cons 9266 def cons nil cons 9267 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7213 remove cons nil cons nil cons cons 155 ref subst 9218 remove eqMp appThm 1597 ref 1014 ref 172 ref refl 9268 def 9232 ref 9268 ref 9233 ref 625 ref 1131 ref 5294 remove assume appThm nil 1003 ref 9234 ref nil cons cons nil cons nil cons cons 1264 ref subst appThm appThm 625 ref nil 2661 ref 9236 ref nil cons cons 9269 def 2720 ref 9219 ref cons cons nil cons cons 695 ref 129 ref 2721 ref 191 ref appTerm 2667 ref appTerm appTerm 42 ref 698 ref 710 ref appTerm 2672 remove appTerm appTerm 2668 remove "Hardware.Bus.nil" const 8 ref constTerm 9270 def appTerm appTerm appTerm absTerm 9271 def 710 ref appTerm 9272 def betaConv 2661 ref 17 ref 9271 ref appTerm 9273 def absTerm 9274 def 2667 ref appTerm 9275 def betaConv 470 ref 11 ref 9274 ref appTerm 9276 def absTerm 9277 def 653 ref appTerm 9278 def betaConv nil 11 ref 9277 ref appTerm 9279 def axiom nil 399 ref 9279 remove nil cons cons 400 ref 9278 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9277 remove nil cons cons 2682 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9276 remove nil cons cons 400 ref 9275 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9274 remove nil cons cons 2683 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9273 remove nil cons cons 400 ref 9272 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9271 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp 9280 def subst 625 ref nil 1003 ref 235 remove nil cons cons nil cons nil cons cons nil 150 ref 698 ref 191 ref appTerm 9281 def 1011 ref appTerm 9282 def nil cons cons nil cons nil cons cons 155 ref subst 1003 ref 9282 remove absTerm 9283 def 1011 ref appTerm 9284 def betaConv nil 17 ref 9283 ref appTerm 9285 def axiom nil 399 ref 9285 remove nil cons cons 400 ref 9284 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9283 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp 9286 def subst appThm 2666 ref 9236 ref appTerm 9270 ref appTerm 9287 def refl 9288 def appThm nil 150 ref 9287 ref nil cons cons nil cons nil cons cons 633 ref subst 9289 def trans trans appThm 625 ref 5038 ref refl nil 9222 ref nil cons nil cons cons 1264 ref subst appThm 1017 ref refl 9290 def appThm 9238 ref refl 9291 def appThm appThm 9263 ref refl appThm appThm appThm absThm appThm absThm appThm absThm appThm appThm nil 150 ref 167 ref 1014 ref 172 ref 9232 ref 172 ref 9233 ref 42 ref 5975 ref 9234 remove appTerm 9292 def appTerm 9293 def 42 ref 9287 remove appTerm 9294 def 42 ref 5038 remove 5300 ref appTerm 1017 ref appTerm 9295 def 9238 ref appTerm appTerm 9296 def 9263 remove appTerm appTerm appTerm absTerm appTerm absTerm 9297 def appTerm 9298 def absTerm 9299 def appTerm 9300 def nil cons cons nil cons nil cons cons 614 ref subst trans appThm 9265 ref refl appThm sym nil 160 ref 1014 ref 41 ref 9299 ref 1017 ref appTerm 9301 def appTerm 9265 ref appTerm 9302 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1014 ref nil 150 ref 9302 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 9301 ref nil cons 9303 def cons 9267 ref cons nil cons cons 9304 def 416 ref subst 9304 remove 467 ref subst 9301 ref betaConv 9301 remove assume eqMp nil 399 ref 9298 ref nil cons cons 9267 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref "ps2" 8 ref var 9305 def 41 ref 9297 ref 9305 ref varTerm 9306 def appTerm 9307 def appTerm 9265 ref appTerm 9308 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 9305 remove nil 150 ref 9308 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 9307 ref nil cons 9309 def cons 9267 ref cons nil cons cons 9310 def 416 ref subst 9310 remove 467 ref subst 9307 ref betaConv 9307 remove assume eqMp nil 399 ref 172 ref 9233 ref 9293 ref 42 ref 2666 ref 9306 ref appTerm 9270 ref appTerm 9311 def appTerm 9312 def 9296 remove 9240 ref 2662 ref 9306 remove appTerm 9313 def 9262 remove appTerm appTerm appTerm appTerm appTerm absTerm 9314 def appTerm 9315 def nil cons cons 9267 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref "ps1" 8 ref var 9316 def 41 ref 9314 ref 9316 ref varTerm 9317 def appTerm 9318 def appTerm 9265 ref appTerm 9319 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 9316 remove nil 150 ref 9319 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 9318 ref nil cons 9320 def cons 9267 ref cons nil cons cons 9321 def 416 ref subst 9321 remove 467 ref subst 9318 ref betaConv 9318 remove assume eqMp nil 399 ref 9293 remove 9312 remove 42 ref 9295 remove 9317 ref appTerm 9322 def appTerm 9240 remove 9313 remove 9261 remove 9317 ref appTerm 9323 def appTerm appTerm 9324 def appTerm 9325 def appTerm 9326 def appTerm nil cons 9327 def cons 9267 remove cons nil cons cons 9328 def 459 ref subst proveHyp 9328 ref 416 ref subst 9328 remove 467 ref subst nil 435 ref 9292 remove nil cons cons 437 ref 9326 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 9311 ref nil cons cons 437 ref 9325 remove nil cons cons nil cons cons nil cons cons 9329 def 451 ref subst 9329 remove 515 ref subst nil 435 ref 9322 remove nil cons cons 437 ref 9324 ref nil cons cons nil cons cons nil cons cons 515 ref subst 165 ref 1131 ref 9224 ref 1368 ref 4254 ref 3190 ref 728 ref refl 9330 def 9324 remove assume 2662 ref refl 9331 def 9311 remove assume appThm 9323 ref refl appThm nil 470 ref 9323 remove nil cons cons nil cons nil cons cons 470 ref 2666 ref 2662 ref 9270 ref appTerm 653 ref appTerm appTerm 653 ref appTerm absTerm 9332 def 653 ref appTerm 9333 def betaConv nil 11 ref 9332 ref appTerm 9334 def axiom nil 399 ref 9334 remove nil cons cons 400 ref 9333 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9332 remove nil cons cons 2682 ref cons nil cons cons 469 ref subst eqMp eqMp 9335 def subst trans trans appThm 8952 ref refl 9336 def appThm appThm appThm 8606 ref appThm appThm 9264 ref refl 9337 def appThm appThm appThm 9230 ref appThm appThm 9231 ref appThm sym 165 ref 1131 ref 9224 ref 1368 ref 4254 ref nil 38 ref 8952 ref nil cons 9338 def cons 9339 def 2661 ref 9317 ref nil cons cons 9260 ref cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5040 ref appTerm 9340 def 8952 ref appTerm 9341 def appTerm 9342 def appTerm refl 2800 ref 726 ref 728 ref 9317 remove appTerm 9343 def 8952 ref appTerm appTerm 9344 def appTerm 9345 def refl 9346 def 9220 remove assume appThm appThm trans appThm 8606 ref appThm nil 9225 ref 4223 ref 9345 ref 5300 ref appTerm nil cons cons 4224 ref 9342 ref nil cons cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 9342 remove appTerm 5027 ref appTerm 9347 def appTerm 9348 def refl 9349 def nil 8922 ref 4257 ref 9221 ref cons 1003 ref 9344 ref nil cons 9350 def cons nil cons cons cons nil cons cons 4281 ref subst 9346 remove nil 1116 ref 8331 ref cons 9351 def 1003 ref 5004 ref nil cons 9352 def cons 9353 def 6581 ref cons cons nil cons cons 9354 def 1169 ref subst appThm trans appThm trans trans appThm 9337 remove appThm nil 1116 ref 9264 ref nil cons cons 9355 def 1003 ref 9345 ref 5274 ref 187 ref 5004 ref appTerm 9356 def 5027 ref appTerm appTerm 9357 def appTerm nil cons cons 1006 ref 9347 ref nil cons 9358 def cons nil cons 9359 def cons cons nil cons cons 1169 ref subst trans appThm appThm 9230 ref appThm appThm 9231 ref appThm sym 1131 ref 9354 remove 2078 ref subst nil 8332 ref 1006 ref 9221 ref cons nil cons cons nil cons cons 1210 ref subst trans appThm 5301 ref refl appThm sym nil 1116 ref 9221 remove cons 8334 ref cons nil cons cons 9360 def 1169 ref subst 9361 def eqMp 129 ref "_47960" 14 ref var 9362 def 41 ref 180 ref 8974 ref 9348 ref 187 ref 9345 ref 9362 remove varTerm appTerm appTerm 9264 ref appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9205 ref appTerm absTerm 9363 def 9357 ref appTerm 9364 def appTerm refl 9363 ref 5301 ref appTerm betaConv appThm 439 ref 9364 remove betaConv appThm 41 ref 180 ref 8974 ref 9348 ref 187 ref 9345 remove 5301 ref appTerm 9365 def appTerm 9366 def 9264 ref appTerm 9367 def appTerm appTerm 9368 def appTerm 9369 def 1009 ref appTerm appTerm 9205 ref appTerm refl appThm trans 9363 remove refl 180 ref 9357 remove appTerm 5301 ref appTerm assume appThm eqMp sym 1131 ref nil 1116 ref 9367 remove nil cons cons 1003 ref 9358 remove cons 9370 def 1006 ref 8973 ref nil cons 9371 def cons nil cons 9372 def cons 9373 def cons nil cons cons 2078 ref subst nil 9355 ref 1003 ref 9365 ref nil cons 9374 def cons 1006 ref 8974 ref 9347 ref appTerm 9375 def nil cons 9376 def cons nil cons 9377 def cons cons nil cons cons 2078 ref subst nil 9226 ref 9228 ref 1006 ref 187 ref 9375 ref appTerm 9378 def 9365 ref appTerm 9379 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 8975 remove nil cons cons 9380 def 1003 ref 8970 remove cons 9381 def 1006 ref 187 ref 9379 remove appTerm 9227 ref appTerm 9382 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 8968 ref 8969 ref 1006 ref 187 ref 9382 remove appTerm 8958 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 3190 ref 8965 ref nil 8991 ref 7904 ref cons nil cons cons 9383 def 2078 ref subst nil 2080 ref 7905 ref cons nil cons cons 9384 def 2078 ref subst nil 2085 ref 8275 ref cons nil cons cons 9385 def 2078 ref subst nil 1219 ref 2091 ref 1006 ref 8343 remove cons nil cons cons 9386 def cons nil cons cons 9387 def 2078 ref subst trans trans trans 9388 def appThm appThm 9389 def appThm 4254 ref 3190 ref 9340 ref refl 9390 def nil 7823 ref 7904 remove cons nil cons cons 9391 def 2078 ref subst nil 7966 ref 7905 remove cons nil cons cons 9392 def 2078 ref subst nil 7986 ref 8275 remove cons nil cons cons 9393 def 2078 ref subst nil 2073 ref 9386 remove cons nil cons cons 9394 def 2078 ref subst trans trans trans 9395 def appThm appThm appThm 8606 ref appThm 9396 def appThm appThm 9397 def 4254 ref 3190 ref 9343 ref refl 9398 def 9395 ref appThm appThm appThm 9360 remove 2078 ref subst 9399 def nil 1116 ref 9352 ref cons 9400 def 1003 ref 6580 remove cons 8794 ref cons 9401 def cons nil cons cons 9402 def 2078 ref subst trans 9403 def appThm 9404 def appThm appThm 4254 ref 2814 ref 3190 ref 7322 ref refl 9405 def 9395 ref appThm appThm appThm appThm 8606 ref appThm 9406 def appThm appThm 3190 ref 8277 remove 9395 ref appThm appThm 9407 def appThm appThm 2814 ref 3190 ref 8278 remove 9395 ref appThm appThm 9408 def appThm 9409 def appThm appThm 4005 ref 8462 remove 9395 ref appThm appThm 9410 def appThm trans appThm nil 1116 ref 9348 ref 9264 remove appTerm 9411 def nil cons cons 1003 ref 9371 remove cons 9412 def 1006 ref 9374 ref cons nil cons 9413 def cons cons nil cons cons 2078 ref subst nil 9355 remove 9370 ref 1006 ref 9366 ref 8973 ref appTerm 9414 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 9226 remove 9228 remove 1006 ref 187 ref 9414 remove appTerm 9347 ref appTerm 9415 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 9380 remove 9381 ref 1006 ref 187 ref 9415 remove appTerm 9227 remove appTerm 9416 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 8968 ref 8969 remove 1006 ref 187 ref 9416 remove appTerm 8958 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 9404 remove appThm 9389 ref appThm appThm 9396 ref appThm appThm 9406 remove appThm appThm 9407 ref appThm appThm 9409 remove appThm appThm 9410 ref appThm trans appThm nil 1003 ref 187 ref 187 ref 187 ref 187 ref 187 ref 2800 ref 726 ref 9343 remove 187 ref 8280 remove 188 ref appTerm appTerm 9417 def 192 ref appTerm 9418 def appTerm appTerm appTerm 187 ref 8880 ref 5266 remove appTerm 9419 def appTerm 9420 def 5004 ref appTerm 9421 def appTerm 9422 def appTerm 726 ref 8517 remove 9417 remove 207 ref appTerm 9423 def appTerm appTerm 9424 def appTerm appTerm 2800 ref 726 ref 9340 ref 9418 ref appTerm appTerm appTerm 5027 ref appTerm 9425 def appTerm 9426 def appTerm 2800 ref 2196 ref 726 ref 7322 ref 9418 ref appTerm appTerm appTerm appTerm 5027 ref appTerm 9427 def appTerm 9428 def appTerm 726 ref 8255 ref 9418 ref appTerm appTerm 9429 def appTerm 9430 def appTerm 2196 ref 726 ref 8258 ref 9418 ref appTerm appTerm 9431 def appTerm 9432 def appTerm nil cons cons 1116 ref 2828 ref 8418 ref 9418 ref appTerm appTerm nil cons cons 9433 def 1006 ref 187 ref 187 ref 187 ref 187 ref 187 ref 9424 ref appTerm 9425 ref appTerm 9434 def appTerm 9435 def 9422 ref appTerm 9436 def appTerm 9427 ref appTerm 9437 def appTerm 9429 ref appTerm 9438 def appTerm 9432 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 9430 remove nil cons cons 1116 ref 9432 remove nil cons cons 1006 ref 9438 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 9428 remove nil cons cons 1116 ref 9429 ref nil cons cons 9439 def 1006 ref 9437 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 9426 remove nil cons cons 1116 ref 9427 remove nil cons cons 1006 ref 9436 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans trans trans trans sym 1131 ref nil 1116 ref 9422 remove nil cons 9440 def cons 1003 ref 9425 ref nil cons 9441 def cons 9442 def 1006 ref 9424 ref nil cons 9443 def cons nil cons cons 9444 def cons nil cons cons 1169 ref subst 1368 ref 3190 ref 8965 remove 9387 remove 1169 ref subst 9385 remove 1169 ref subst 9384 remove 1169 ref subst 9383 remove 1169 ref subst trans trans trans 9445 def appThm appThm appThm 9446 def 1368 ref 4254 ref 3190 ref 9390 remove 9394 remove 1169 ref subst 9393 remove 1169 ref subst 9392 remove 1169 ref subst 9391 remove 1169 ref subst trans trans trans 9447 def appThm appThm appThm 8606 ref appThm 9448 def appThm 9449 def 4254 ref 3190 ref 9398 remove 9447 ref appThm appThm appThm 9402 remove 1169 ref subst 9361 remove trans 9450 def appThm 9451 def appThm appThm trans appThm nil 1116 ref 9441 remove cons 1003 ref 9443 remove cons 9452 def 1006 ref 9440 remove cons nil cons cons cons nil cons cons 1169 ref subst 1368 ref 9451 remove appThm 9446 ref 9448 remove appThm appThm trans appThm sym 180 ref 8974 ref 9348 ref 9365 remove appTerm appTerm appTerm refl nil 1003 ref 9376 remove cons 9413 remove cons nil cons cons 1210 ref subst appThm sym nil 1116 ref 9374 remove cons 9373 ref cons nil cons cons 2078 ref subst eqMp eqMp eqMp 129 ref "_47962" 14 ref var 9453 def 41 ref 180 ref 9453 remove varTerm appTerm 1009 ref appTerm appTerm 9205 ref appTerm absTerm 9454 def 9368 remove appTerm 9455 def appTerm refl 9454 ref 9366 remove 8974 ref 9411 remove appTerm 9456 def appTerm 9457 def appTerm betaConv appThm 439 ref 9455 remove betaConv appThm 41 ref 180 ref 9457 ref appTerm 1009 ref appTerm appTerm 9205 ref appTerm refl appThm trans 9454 remove refl 9369 remove 9457 remove appTerm assume appThm eqMp sym 165 ref nil 3391 ref 9456 ref nil cons cons 3390 ref 9350 remove cons nil cons cons nil cons cons 9201 ref 3393 remove appTerm 9458 def betaConv 9203 ref 3392 remove appTerm 9459 def betaConv nil 9212 remove 400 ref 9459 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 9203 remove nil cons cons 3426 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9202 remove nil cons cons 400 ref 9458 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9201 remove nil cons cons 3428 remove cons nil cons cons 469 ref subst eqMp eqMp 9460 def subst appThm 9231 remove appThm sym nil 399 ref 42 ref 180 ref 9344 remove appTerm 191 ref appTerm 9461 def appTerm 180 ref 9456 remove appTerm 1009 ref appTerm 9462 def appTerm nil cons 9463 def cons 400 ref 9205 remove nil cons 9464 def cons nil cons 9465 def cons nil cons cons 9466 def 416 ref subst 9466 remove 467 ref subst nil 435 ref 9461 remove nil cons cons 437 ref 9462 remove nil cons 9467 def cons nil cons cons nil cons cons 515 ref subst nil 399 ref 9467 remove cons 9465 remove cons nil cons cons 459 ref subst 165 ref 1131 ref 9224 ref 9349 ref 1368 ref 4254 ref nil 1003 ref 8954 ref nil cons cons nil cons 9468 def nil cons cons 4221 ref subst appThm 8606 remove appThm nil 8922 remove 4258 ref 9468 remove cons cons nil cons cons 4256 ref 4263 ref 2855 ref 187 ref 4261 ref appTerm 4260 ref appTerm appTerm appTerm absTerm 9469 def 4261 remove appTerm 9470 def betaConv 4257 ref 17 ref 9469 ref appTerm 9471 def absTerm 9472 def 4260 remove appTerm 9473 def betaConv 1003 ref 17 ref 9472 ref appTerm 9474 def absTerm 9475 def 1011 ref appTerm 9476 def betaConv 603 ref 1003 ref 603 ref 4257 ref 603 ref 4256 ref 4263 remove refl 2855 remove refl nil 1003 ref 4279 remove cons 1006 ref 4277 remove cons nil cons cons nil cons cons 1210 ref subst appThm appThm absThm appThm absThm appThm absThm appThm 4276 remove eqMp nil 399 ref 17 ref 9475 ref appTerm nil cons cons 400 ref 9476 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9475 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9474 remove nil cons cons 400 ref 9473 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9472 remove nil cons cons 4278 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9471 remove nil cons cons 400 ref 9470 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9469 remove nil cons cons 4280 remove cons nil cons cons 469 ref subst eqMp eqMp 9477 def subst 2800 ref 8954 remove appTerm 9478 def refl nil 2073 ref 8334 ref cons nil cons cons 9479 def 1169 ref subst 9480 def appThm trans trans appThm 8959 ref refl 1368 ref nil 1003 ref 8961 ref nil cons cons nil cons nil cons cons 4221 ref subst appThm 8964 ref refl appThm appThm appThm appThm appThm appThm 9230 ref appThm appThm 1131 ref 6953 ref refl nil 1003 ref 6955 ref nil cons cons nil cons nil cons cons 4221 ref subst appThm appThm 9230 ref appThm appThm sym 470 ref 167 ref 695 ref 2721 ref 5282 ref appTerm 5043 ref appTerm absTerm appTerm absTerm 9481 def 238 ref appTerm betaConv sym 695 ref 5041 ref 710 ref appTerm 9482 def 5282 ref appTerm 5043 ref appTerm absTerm 9483 def 191 ref appTerm betaConv sym 5316 ref assume 9484 def eqMp 162 ref 160 ref 9483 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 9481 ref nil cons cons 470 ref 7430 remove cons nil cons 9485 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 9481 remove appTerm nil cons cons 400 ref 180 ref 181 ref 5043 ref appTerm appTerm 5282 ref appTerm 9486 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1003 ref 5282 ref nil cons 9487 def cons 9488 def 2661 ref 5043 ref nil cons 9489 def cons nil cons cons nil cons cons 3819 ref subst eqMp 2661 ref 41 ref 5315 remove 2667 ref appTerm appTerm 167 ref 1014 ref 172 ref 9232 ref 172 ref 9233 ref 42 ref 240 ref 1259 ref 187 ref 5282 ref appTerm 9490 def 1017 ref appTerm 9491 def appTerm appTerm appTerm 9492 def 42 ref 5042 ref 191 ref appTerm 9236 ref appTerm appTerm 9493 def 42 ref 5041 ref 1259 ref 5282 ref appTerm appTerm 1017 ref appTerm 9238 ref appTerm appTerm 9494 def 2666 ref 238 ref appTerm 9495 def 9242 remove appTerm 9496 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 9497 def 5043 ref appTerm 9498 def betaConv 1003 ref 11 ref 2661 ref 41 ref 5042 ref 1011 ref appTerm 2667 ref appTerm appTerm 167 ref 1014 ref 172 ref 9232 ref 172 ref 9233 ref 42 ref 240 ref 9247 remove appTerm appTerm 9493 ref 42 ref 5041 ref 1260 remove appTerm 1017 ref appTerm 9238 ref appTerm appTerm 9496 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm 9499 def 5282 ref appTerm 9500 def betaConv 695 ref 17 ref 1003 ref 11 ref 2661 ref 41 ref 9482 remove 1011 ref appTerm 2667 ref appTerm appTerm 167 ref 1014 ref 172 ref 9232 ref 172 ref 9233 ref 42 ref 240 ref 9250 remove appTerm appTerm 42 ref 5042 remove 710 ref appTerm 9236 remove appTerm appTerm 42 ref 5041 ref 9251 remove appTerm 1017 ref appTerm 9238 ref appTerm appTerm 9496 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9501 def 191 ref appTerm 9502 def betaConv 9254 remove 238 ref appTerm 9503 def betaConv 9257 remove nil 9258 remove 400 ref 9503 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9259 remove 9485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9501 ref appTerm nil cons cons 400 ref 9502 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9501 remove nil cons cons 1276 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9499 ref appTerm nil cons cons 400 ref 9500 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9499 remove nil cons cons 475 ref 9487 ref cons nil cons 9504 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 9497 ref appTerm nil cons cons 400 ref 9498 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9497 remove nil cons cons 470 ref 9489 remove cons nil cons 9505 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 5316 remove appTerm 167 ref 1014 ref 172 ref 9232 ref 172 ref 9233 ref 9492 remove 9493 remove 9494 remove 9495 ref 9241 remove 2662 ref 5043 ref appTerm 9506 def 9238 ref appTerm 9507 def appTerm appTerm 9508 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm nil cons cons 400 ref 41 ref 180 ref 8974 ref 9348 ref 187 ref 9478 remove 4991 ref appTerm appTerm 8959 ref 187 ref 2800 ref 8961 remove appTerm 192 ref appTerm 9509 def appTerm 8964 ref appTerm 9510 def appTerm 9511 def appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 180 ref 6953 remove 2800 ref 6955 remove appTerm 192 ref appTerm 9512 def appTerm appTerm 9513 def 1009 ref appTerm 9514 def appTerm 9515 def nil cons 9516 def cons nil cons 9517 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7215 remove cons nil cons nil cons cons 155 ref subst 9484 remove eqMp appThm 1597 ref 1014 ref 9268 ref 9232 ref 9268 remove 9233 ref 625 ref 1131 ref 5295 remove assume appThm nil 1003 ref 9491 ref nil cons cons nil cons nil cons cons 1264 ref subst appThm appThm 625 ref nil 9269 remove 2720 ref 9485 ref cons cons nil cons cons 9280 remove subst 625 ref nil 1003 ref 239 remove nil cons cons nil cons nil cons cons 9286 ref subst appThm 9288 remove appThm 9289 remove trans trans appThm 625 ref 5041 ref refl nil 9488 ref nil cons nil cons cons 1264 ref subst appThm 9290 ref appThm 9291 remove appThm appThm 9508 ref refl appThm appThm appThm absThm appThm absThm appThm absThm appThm appThm nil 150 ref 167 ref 1014 ref 172 ref 9232 remove 172 ref 9233 ref 42 ref 5975 ref 9491 remove appTerm 9518 def appTerm 9519 def 9294 remove 42 ref 5041 remove 5282 ref appTerm 1017 ref appTerm 9520 def 9238 remove appTerm appTerm 9521 def 9508 remove appTerm appTerm appTerm absTerm appTerm absTerm 9522 def appTerm 9523 def absTerm 9524 def appTerm 9525 def nil cons cons nil cons nil cons cons 614 ref subst trans appThm 9515 ref refl appThm sym nil 160 ref 1014 ref 41 ref 9524 ref 1017 ref appTerm 9526 def appTerm 9515 ref appTerm 9527 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1014 ref nil 150 ref 9527 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 9526 ref nil cons 9528 def cons 9517 ref cons nil cons cons 9529 def 416 ref subst 9529 remove 467 ref subst 9526 ref betaConv 9526 remove assume eqMp nil 399 ref 9523 ref nil cons cons 9517 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref "pc2" 8 ref var 9530 def 41 ref 9522 ref 9530 ref varTerm 9531 def appTerm 9532 def appTerm 9515 ref appTerm 9533 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 9530 remove nil 150 ref 9533 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 9532 ref nil cons 9534 def cons 9517 ref cons nil cons cons 9535 def 416 ref subst 9535 remove 467 ref subst 9532 ref betaConv 9532 remove assume eqMp nil 399 ref 172 ref 9233 remove 9519 ref 42 ref 2666 ref 9531 ref appTerm 9270 remove appTerm 9536 def appTerm 9537 def 9521 remove 9495 ref 2662 ref 9531 remove appTerm 9538 def 9507 remove appTerm appTerm appTerm appTerm appTerm absTerm 9539 def appTerm 9540 def nil cons cons 9517 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref "pc1" 8 ref var 9541 def 41 ref 9539 ref 9541 ref varTerm 9542 def appTerm 9543 def appTerm 9515 ref appTerm 9544 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 9541 remove nil 150 ref 9544 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 9543 ref nil cons 9545 def cons 9517 ref cons nil cons cons 9546 def 416 ref subst 9546 remove 467 ref subst 9543 ref betaConv 9543 remove assume eqMp nil 399 ref 9519 remove 9537 remove 42 ref 9520 remove 9542 ref appTerm 9547 def appTerm 9495 remove 9538 remove 9506 remove 9542 ref appTerm 9548 def appTerm appTerm 9549 def appTerm 9550 def appTerm 9551 def appTerm nil cons 9552 def cons 9517 remove cons nil cons cons 9553 def 459 ref subst proveHyp 9553 ref 416 ref subst 9553 remove 467 ref subst nil 435 ref 9518 remove nil cons cons 437 ref 9551 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 9536 ref nil cons cons 437 ref 9550 remove nil cons cons nil cons cons nil cons cons 9554 def 451 ref subst 9554 remove 515 ref subst nil 435 ref 9547 remove nil cons cons 437 ref 9549 ref nil cons cons nil cons cons nil cons cons 515 ref subst 165 ref 1131 ref 9224 ref 9349 ref 1368 ref 4254 ref 3190 ref 9330 remove 9549 remove assume 9331 remove 9536 remove assume appThm 9548 ref refl appThm nil 470 ref 9548 remove nil cons cons nil cons nil cons cons 9335 remove subst trans trans appThm 9336 remove appThm appThm appThm 4991 ref refl 9555 def appThm appThm 9511 ref refl 9556 def appThm appThm appThm appThm 9230 ref appThm appThm 9514 ref refl 9557 def appThm sym 165 ref 1131 ref 9224 remove 9349 remove 1368 ref 4254 ref nil 9339 remove 2661 ref 9542 ref nil cons cons 9505 ref cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5043 ref appTerm 9558 def 8952 ref appTerm 9559 def appTerm 9560 def appTerm refl 2800 ref 726 ref 728 ref 9542 remove appTerm 9561 def 8952 ref appTerm appTerm 9562 def appTerm 9563 def refl 9564 def 9486 remove assume appThm appThm trans appThm 9555 ref appThm nil 695 ref 4991 ref nil cons 9565 def cons 9566 def 4223 ref 9563 ref 5282 ref appTerm nil cons cons 4224 ref 9560 ref nil cons cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 9560 remove appTerm 4991 ref appTerm 9567 def appTerm 9568 def refl nil 4256 ref 9565 ref cons 9569 def 4257 ref 9487 ref cons 1003 ref 9562 ref nil cons 9570 def cons nil cons cons cons nil cons cons 4281 ref subst 9564 remove nil 1116 ref 9565 ref cons 9571 def 1003 ref 732 ref nil cons 9572 def cons 9573 def 6581 ref cons 9574 def cons nil cons cons 9575 def 1169 ref subst appThm trans appThm trans trans appThm 9556 remove appThm nil 1116 ref 9511 ref nil cons 9576 def cons 9577 def 1003 ref 9563 ref 5274 ref 187 ref 732 ref appTerm 9578 def 4991 ref appTerm appTerm 9579 def appTerm nil cons cons 1006 ref 9567 ref nil cons 9580 def cons nil cons 9581 def cons cons nil cons cons 1169 ref subst trans appThm appThm appThm 9230 ref appThm appThm 9557 ref appThm sym 1131 ref 9575 remove 2078 ref subst nil 1116 ref 4990 remove nil cons 9582 def cons 2081 ref 1006 ref 9487 ref cons nil cons 9583 def cons 9584 def cons nil cons cons 2078 ref subst nil 2073 ref 2086 ref 1006 ref 9490 remove 61 ref appTerm 9585 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans appThm 9403 ref 9420 ref refl 180 ref 5004 ref appTerm 9578 ref 192 ref appTerm 9586 def appTerm assume sym 180 ref 9586 remove appTerm 5004 ref appTerm assume sym deductAntisym nil 1257 ref 4159 ref cons nil cons cons 9587 def 2109 ref subst 2110 ref 1301 remove 3328 ref appThm 4407 ref trans appThm trans 9588 def eqMp 9589 def appThm nil 2073 ref 9573 ref 1006 ref 9419 remove nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans appThm nil 1003 ref 9420 ref 732 ref appTerm 9590 def nil cons cons 2073 ref 1006 ref 187 ref 9585 remove appTerm 64 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans sym 1131 ref nil 8181 ref 9584 remove cons nil cons cons 1169 ref subst nil 9351 remove 9574 ref cons nil cons cons 9591 def 1169 ref subst trans appThm nil 1116 ref 9572 ref cons 9592 def 9401 ref cons nil cons cons 9593 def 1169 ref subst nil 1116 ref 9487 remove cons 9594 def 8334 ref cons nil cons cons 9595 def 1169 ref subst 9596 def trans 9597 def appThm sym 1131 ref 9591 remove 2078 ref subst nil 8332 ref 9583 remove cons nil cons cons 1210 ref subst trans appThm 5284 ref refl 9598 def appThm sym 9596 remove eqMp eqMp eqMp 129 ref "_47964" 14 ref var 9599 def 41 ref 180 ref 8974 ref 9348 ref 9568 ref 187 ref 9563 ref 9599 remove varTerm appTerm appTerm 9511 ref appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 9600 def 9579 ref appTerm 9601 def appTerm refl 9600 ref 5301 ref appTerm betaConv appThm 439 ref 9601 remove betaConv appThm 41 ref 180 ref 8974 ref 9348 ref 9568 ref 187 ref 9563 remove 5301 ref appTerm 9602 def appTerm 9603 def 9511 ref appTerm 9604 def appTerm 9605 def appTerm appTerm 9606 def appTerm 9607 def 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 9600 remove refl 180 ref 9579 remove appTerm 5301 ref appTerm assume appThm eqMp sym 1131 ref nil 1116 ref 9605 remove nil cons cons 9373 ref cons nil cons cons 2078 ref subst nil 1116 ref 9604 remove nil cons cons 1003 ref 9580 ref cons 9608 def 9377 remove cons 9609 def cons nil cons cons 2078 ref subst nil 9577 ref 1003 ref 9602 ref nil cons 9610 def cons 1006 ref 9378 ref 9567 ref appTerm 9611 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 9510 remove nil cons 9612 def cons 9613 def 9381 ref 1006 ref 187 ref 9611 remove appTerm 9602 ref appTerm 9614 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 8968 ref 1003 ref 9509 ref nil cons 9615 def cons 9616 def 1006 ref 187 ref 9614 remove appTerm 8958 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 9397 remove 4254 ref 3190 ref 9558 ref refl 9617 def 9395 ref appThm appThm appThm 9479 remove 2078 ref subst 9618 def appThm 9619 def appThm 9620 def appThm 4254 ref 3190 ref 9561 ref refl 9621 def 9395 remove appThm appThm appThm 9403 ref appThm 9622 def appThm 9623 def appThm 9407 ref appThm appThm 4254 ref 9408 remove appThm 2100 ref appThm 9624 def appThm appThm 9410 ref appThm trans appThm nil 1116 ref 9348 ref 9568 ref 9511 remove appTerm 9625 def appTerm 9626 def nil cons 9627 def cons 9412 remove 1006 ref 9610 ref cons nil cons 9628 def cons cons nil cons cons 2078 ref subst nil 1116 ref 9625 remove nil cons 9629 def cons 9370 remove 1006 ref 9603 ref 8973 remove appTerm 9630 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 9577 remove 9608 remove 1006 ref 187 ref 9630 remove appTerm 9347 ref appTerm 9631 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 9613 remove 9381 remove 1006 ref 187 ref 9631 remove appTerm 9567 ref appTerm 9632 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 8968 remove 9616 remove 1006 ref 187 ref 9632 remove appTerm 8958 remove appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 9622 ref appThm 9389 remove appThm appThm 9396 remove appThm appThm 9619 remove appThm appThm 9407 remove appThm appThm 9624 remove appThm appThm 9410 remove appThm trans appThm nil 1003 ref 187 ref 187 ref 187 ref 187 ref 187 ref 2800 ref 726 ref 9561 remove 9418 ref appTerm appTerm appTerm 9421 ref appTerm 9633 def appTerm 9424 remove appTerm 9634 def appTerm 9425 ref appTerm appTerm 2800 ref 726 ref 9558 ref 9418 remove appTerm appTerm appTerm 8880 ref 192 ref appTerm 9635 def appTerm 9636 def appTerm 9637 def appTerm 9429 ref appTerm 9638 def appTerm 2800 ref 9431 remove appTerm 192 ref appTerm 9639 def appTerm nil cons cons 9433 remove 1006 ref 187 ref 187 ref 187 ref 9435 remove 9636 ref appTerm appTerm 9633 ref appTerm 9640 def appTerm 9429 remove appTerm 9641 def appTerm 9639 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 9638 remove nil cons cons 1116 ref 9639 remove nil cons cons 1006 ref 9641 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 9637 remove nil cons cons 9439 remove 1006 ref 9640 remove nil cons 9642 def cons nil cons cons cons nil cons cons 2889 ref subst trans trans trans sym 1131 ref nil 1116 ref 9633 ref nil cons 9643 def cons 1003 ref 9636 ref nil cons 9644 def cons 1006 ref 9434 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 9636 ref appTerm 9633 remove appTerm nil cons cons 9444 remove cons nil cons cons 1169 ref subst trans 9446 ref 9449 ref 1368 ref 4254 ref 3190 ref 9617 remove 9447 ref appThm appThm appThm 9480 ref appThm 9645 def appThm 4254 ref 3190 ref 9621 remove 9447 remove appThm appThm appThm 9450 ref appThm 9646 def appThm appThm appThm trans appThm nil 1116 ref 9644 remove cons 9442 remove 1006 ref 9634 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 9425 remove appTerm 9636 remove appTerm nil cons cons 9452 remove 1006 ref 9643 remove cons nil cons cons cons nil cons cons 1169 ref subst trans 1368 ref 9646 remove appThm 9446 remove 9449 remove 9645 remove appThm appThm appThm trans appThm sym 180 ref 8974 ref 9348 ref 9568 ref 9602 remove appTerm 9647 def appTerm appTerm appTerm refl nil 1003 ref 8974 ref 9348 ref 9567 remove appTerm appTerm nil cons cons 9628 remove cons nil cons cons 1210 ref subst appThm sym 1131 ref nil 1116 ref 9647 remove nil cons cons 9373 ref cons nil cons cons 2078 ref subst nil 1116 ref 9610 remove cons 9609 remove cons nil cons cons 2078 ref subst trans 9623 remove trans appThm 1368 ref nil 1116 ref 9580 remove cons 9373 ref cons nil cons cons 2078 ref subst 9620 remove trans appThm 9622 remove appThm appThm nil 475 ref 9642 remove cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp 129 ref "_47966" 14 ref var 9648 def 41 ref 180 ref 9648 remove varTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 9649 def 9606 remove appTerm 9650 def appTerm refl 9649 ref 9603 remove 8974 remove 9626 remove appTerm 9651 def appTerm 9652 def appTerm betaConv appThm 439 ref 9650 remove betaConv appThm 41 ref 180 ref 9652 ref appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 9649 remove refl 9653 def 9607 remove 9652 remove appTerm assume appThm eqMp sym 165 ref nil 3391 ref 9651 ref nil cons cons 3390 ref 9570 remove cons nil cons cons nil cons cons 9460 ref subst appThm 9557 ref appThm sym nil 399 ref 42 ref 180 ref 9562 remove appTerm 191 ref appTerm 9654 def appTerm 180 ref 9651 ref appTerm 9655 def 1009 ref appTerm 9656 def appTerm nil cons 9657 def cons 400 ref 9514 ref nil cons 9658 def cons nil cons 9659 def cons nil cons cons 9660 def 416 ref subst 9660 remove 467 ref subst nil 435 ref 9654 remove nil cons cons 437 ref 9656 remove nil cons 9661 def cons nil cons cons nil cons cons 515 ref subst nil 399 ref 9661 remove cons 9659 ref cons nil cons cons 459 ref subst 9655 ref refl nil 1116 ref 9568 remove 8959 remove 187 ref 8964 remove appTerm 9509 ref appTerm 9662 def appTerm 9663 def appTerm 9664 def nil cons cons 9665 def 9373 remove cons nil cons cons 1169 ref subst appThm nil 1116 ref 9348 remove 9664 ref appTerm nil cons cons 1003 ref 9627 remove cons 9372 remove cons cons nil cons cons 1192 ref subst nil 9665 remove 1003 ref 9629 remove cons 9359 remove cons cons nil cons cons 1192 ref subst nil 1116 ref 9663 ref nil cons cons 1003 ref 9576 remove cons 9581 remove cons cons nil cons cons 1192 ref subst nil 1116 ref 9662 ref nil cons cons 1003 ref 9612 remove cons 8971 remove cons cons nil cons cons 1192 ref subst trans trans trans trans sym nil 1003 ref 8967 remove cons 1006 ref 9615 remove cons nil cons cons nil cons cons 1210 ref subst eqMp 129 ref "_47968" 14 ref var 9666 def 41 ref 180 ref 9666 remove varTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 9667 def 9651 remove appTerm 9668 def appTerm refl 9667 remove 9378 remove 9664 ref appTerm 9669 def appTerm betaConv appThm 439 ref 9668 remove betaConv appThm 41 ref 180 ref 9669 ref appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 9653 ref 9655 remove 9669 remove appTerm assume appThm eqMp sym nil 470 ref 5002 ref nil cons cons 9670 def 2661 ref 2662 ref 5062 ref appTerm 5067 ref appTerm 9671 def nil cons cons nil cons cons nil cons cons 2684 ref subst 5061 ref refl 5302 remove assume appThm 9672 def 9671 ref refl appThm trans sym 9399 remove 129 ref "_47974" 14 ref var 9673 def 5061 ref 9673 remove varTerm appTerm 9671 ref appTerm absTerm 9674 def 5301 ref appTerm 9675 def appTerm refl 9674 ref 8880 ref 5300 ref appTerm 9676 def appTerm betaConv appThm 439 ref 9675 remove betaConv appThm 5061 ref 9676 ref appTerm 9671 ref appTerm 9677 def refl appThm trans 9674 remove refl 9057 ref 9676 remove appTerm assume appThm eqMp sym 625 ref nil 150 ref 7223 remove cons nil cons nil cons cons 155 ref subst 5063 remove assume 9678 def eqMp appThm 5060 ref refl 9679 def nil 8332 ref nil cons nil cons cons 1264 ref subst 9680 def appThm 5300 ref refl appThm 5067 ref refl appThm nil 150 ref 7227 remove cons nil cons nil cons cons 155 ref subst 5319 remove assume eqMp trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 5064 remove 5060 ref 1259 ref 5027 ref appTerm 9681 def appTerm 5300 remove appTerm 5067 ref appTerm appTerm nil cons cons 400 ref 9677 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 5067 ref nil cons 9682 def cons 2661 ref 5062 ref nil cons 9683 def cons 9684 def 9222 remove 8793 ref 2720 ref 9670 ref nil cons 9685 def cons 9686 def cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 129 ref "_47972" 8 ref var 9687 def 180 ref 9375 ref appTerm 9688 def 726 ref 728 ref 9687 remove varTerm appTerm 6952 ref appTerm appTerm appTerm absTerm 9689 def 5002 ref appTerm 9690 def appTerm refl 9689 ref 9671 ref appTerm betaConv appThm 439 ref 9690 remove betaConv appThm 9688 ref 726 ref 728 ref 9671 ref appTerm 6952 ref appTerm appTerm appTerm refl appThm trans 9689 remove refl 2666 ref 9671 remove appTerm 5002 ref appTerm assume sym appThm eqMp sym 9688 ref refl nil 38 ref 6952 ref nil cons 9691 def cons 9692 def 2661 ref 9682 ref cons 470 ref 9683 remove cons nil cons 9693 def cons cons nil cons cons 2813 ref subst appThm sym 38 ref 41 ref 5147 ref appTerm 9694 def 2206 ref 728 ref 5062 ref appTerm 9695 def 47 ref appTerm appTerm 8662 ref appTerm appTerm absTerm 9696 def 6952 ref appTerm 9697 def betaConv 2661 ref 17 ref 38 ref 41 ref 5146 remove 2667 ref appTerm appTerm 2206 ref 2802 ref appTerm 9698 def 8662 remove appTerm appTerm absTerm appTerm absTerm 9699 def 5062 ref appTerm 9700 def betaConv 470 ref 11 ref 2661 ref 17 ref 38 ref 41 ref 5145 ref 653 ref appTerm 2667 ref appTerm appTerm 9698 ref 2797 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9701 def 5057 remove appTerm 9702 def betaConv nil 11 ref 9701 ref appTerm 9703 def axiom 9704 def nil 399 ref 9703 remove nil cons cons 9705 def 400 ref 9702 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9701 ref nil cons cons 9706 def 8672 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 9699 ref appTerm nil cons cons 400 ref 9700 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9699 remove nil cons cons 9693 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9696 ref appTerm nil cons cons 400 ref 9697 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9696 remove nil cons cons 475 ref 9691 ref cons nil cons 9707 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9694 remove 2206 ref 9695 remove 6952 ref appTerm 9708 def appTerm 8972 ref appTerm 9709 def appTerm nil cons cons 400 ref 9688 ref 187 ref 726 ref 9708 ref appTerm appTerm 9710 def 2800 ref 726 ref 728 ref 5067 ref appTerm 9711 def 6952 ref appTerm 9712 def appTerm appTerm 9713 def 181 ref 5062 ref appTerm 9714 def appTerm appTerm 9715 def appTerm 9716 def nil cons 9717 def cons nil cons 9718 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7285 remove cons nil cons nil cons cons 155 ref subst 5147 remove assume eqMp appThm 9709 ref refl appThm nil 150 ref 9709 ref nil cons 9719 def cons nil cons nil cons cons 614 ref subst trans appThm 9716 remove refl appThm sym nil 399 ref 9719 ref cons 9718 remove cons nil cons cons 9720 def 416 ref subst 9720 remove 467 ref subst 129 ref "_47976" 724 ref var 9721 def 180 ref 187 ref 726 ref 9721 remove varTerm appTerm appTerm 9347 ref appTerm appTerm 9715 ref appTerm absTerm 9722 def 8972 remove appTerm 9723 def appTerm refl 9722 ref 9708 remove appTerm betaConv appThm 439 ref 9723 remove betaConv appThm 180 ref 9710 ref 9347 remove appTerm appTerm 9715 ref appTerm 9724 def refl 9725 def appThm trans 9722 remove refl 9709 remove assume sym appThm eqMp sym 38 ref 41 ref 5186 ref appTerm 9726 def 2206 ref 9711 ref 713 ref 192 ref appTerm 9727 def appTerm appTerm 9340 remove 47 ref appTerm 9728 def appTerm appTerm absTerm 9729 def 8952 ref appTerm 9730 def betaConv 2661 ref 17 ref 38 ref 41 ref 5185 remove 2667 ref appTerm appTerm 2206 ref 2801 remove 9727 ref appTerm appTerm 9731 def 9728 remove appTerm appTerm absTerm appTerm absTerm 9732 def 5067 remove appTerm 9733 def betaConv 470 ref 11 ref 2661 ref 17 ref 38 ref 41 ref 286 ref 653 ref appTerm 2667 ref appTerm appTerm 9731 ref 2797 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9734 def 5040 remove appTerm 9735 def betaConv nil 11 ref 9734 ref appTerm 9736 def axiom 9737 def nil 399 ref 9736 remove nil cons cons 9738 def 400 ref 9735 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9734 ref nil cons cons 9739 def 9260 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 9732 ref appTerm nil cons cons 400 ref 9733 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9732 remove nil cons cons 470 ref 9682 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9729 ref appTerm nil cons cons 400 ref 9730 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9729 remove nil cons cons 475 ref 9338 remove cons nil cons 9740 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9726 remove 2206 ref 9711 ref 187 ref 8952 ref appTerm 192 ref appTerm 9741 def appTerm appTerm 9341 ref appTerm appTerm nil cons cons 400 ref 9724 remove nil cons 9742 def cons nil cons 9743 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7307 remove cons nil cons nil cons cons 155 ref subst 5186 remove assume eqMp appThm 3517 ref 9711 remove refl nil 2073 ref 1005 remove 7786 ref cons cons nil cons cons 1169 ref subst 7837 ref 2130 remove appThm trans 9744 def appThm appThm 9341 ref refl appThm appThm nil 150 ref 2206 ref 9712 ref appTerm 9341 ref appTerm 9745 def nil cons 9746 def cons nil cons nil cons cons 614 ref subst trans appThm 9725 remove appThm sym nil 399 ref 9746 ref cons 9743 remove cons nil cons cons 9747 def 416 ref subst 9747 remove 467 ref subst 129 ref "_47978" 724 ref var 9748 def 180 ref 9710 ref 2800 ref 726 ref 9748 remove varTerm appTerm appTerm 5027 ref appTerm appTerm appTerm 9715 ref appTerm absTerm 9749 def 9341 remove appTerm 9750 def appTerm refl 9749 ref 9712 remove appTerm betaConv appThm 439 ref 9750 remove betaConv appThm 180 ref 9710 ref 9713 ref 5027 ref appTerm appTerm appTerm 9715 remove appTerm refl appThm trans 9749 remove refl 9745 remove assume sym appThm eqMp sym 9710 remove refl 9713 remove refl 470 ref 167 ref 695 ref 8593 ref 5062 ref appTerm absTerm appTerm absTerm 9751 def 5002 ref appTerm betaConv sym 695 ref 5060 ref 710 ref appTerm 9752 def 5027 ref appTerm 5062 remove appTerm absTerm 9753 def 191 ref appTerm betaConv sym 9678 remove eqMp 162 ref 160 ref 9753 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 9751 ref nil cons cons 9685 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 9751 remove appTerm nil cons cons 400 ref 180 ref 9714 ref appTerm 5027 ref appTerm nil cons 9754 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 8332 ref 9684 remove nil cons cons nil cons cons 3819 ref subst eqMp nil 399 ref 9754 remove cons 400 ref 180 ref 5027 ref appTerm 9714 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 475 ref 9714 remove nil cons cons 1878 ref 8331 ref cons nil cons cons nil cons cons 3294 remove subst eqMp appThm appThm eqMp eqMp nil 435 ref 9746 remove cons 437 ref 9742 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 9719 remove cons 437 ref 9717 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp 129 ref "_47970" 14 ref var 9755 def 41 ref 180 ref 187 ref 9755 remove varTerm appTerm 9664 ref appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 9756 def 9375 remove appTerm 9757 def appTerm refl 9756 ref 726 ref 728 ref 5002 ref appTerm 9758 def 6952 ref appTerm appTerm 9759 def appTerm betaConv appThm 439 ref 9757 remove betaConv appThm 41 ref 180 ref 187 ref 9759 ref appTerm 9760 def 9664 remove appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm 9761 def refl 9762 def appThm trans 9756 remove refl 9688 remove 9759 ref appTerm assume appThm eqMp sym 38 ref 41 ref 5188 ref appTerm 9763 def 2206 ref 728 ref 5006 ref appTerm 9764 def 9727 ref appTerm appTerm 9558 remove 47 ref appTerm 9765 def appTerm appTerm absTerm 9766 def 8952 ref appTerm 9767 def betaConv 2661 ref 17 ref 38 ref 41 ref 5187 remove 2667 ref appTerm appTerm 9731 ref 9765 remove appTerm appTerm absTerm appTerm absTerm 9768 def 5006 ref appTerm 9769 def betaConv 9734 ref 5043 remove appTerm 9770 def betaConv 9737 ref nil 9738 ref 400 ref 9770 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9739 ref 9505 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 9768 ref appTerm nil cons cons 400 ref 9769 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9768 remove nil cons cons 470 ref 5006 ref nil cons cons 9771 def nil cons 9772 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9766 ref appTerm nil cons cons 400 ref 9767 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9766 remove nil cons cons 9740 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9763 remove 2206 ref 9764 ref 9741 ref appTerm appTerm 9559 ref appTerm appTerm nil cons cons 400 ref 9761 remove nil cons 9773 def cons nil cons 9774 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7309 remove cons nil cons nil cons cons 155 ref subst 5188 remove assume eqMp appThm 3517 ref 9764 ref refl 9775 def 9744 ref appThm appThm 9559 ref refl appThm appThm nil 150 ref 2206 ref 9764 ref 6952 ref appTerm 9776 def appTerm 9559 ref appTerm 9777 def nil cons 9778 def cons nil cons nil cons cons 614 ref subst trans appThm 9762 remove appThm sym nil 399 ref 9778 ref cons 9774 remove cons nil cons cons 9779 def 416 ref subst 9779 remove 467 ref subst 129 ref "_47980" 724 ref var 9780 def 41 ref 180 ref 9760 ref 187 ref 2800 ref 726 ref 9780 remove varTerm appTerm appTerm 4991 ref appTerm appTerm 9663 ref appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 9781 def 9559 remove appTerm 9782 def appTerm refl 9781 ref 9776 ref appTerm betaConv appThm 439 ref 9782 remove betaConv appThm 41 ref 180 ref 9760 ref 187 ref 2800 ref 726 ref 9776 remove appTerm appTerm 4991 ref appTerm 9783 def appTerm 9784 def 9663 remove appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm 9785 def refl 9786 def appThm trans 9781 remove refl 9777 remove assume sym appThm eqMp sym 38 ref 41 ref 5190 ref appTerm 9787 def 2206 ref 728 ref 5008 ref appTerm 9788 def 9727 ref appTerm appTerm 8255 remove 47 ref appTerm 9789 def appTerm appTerm absTerm 9790 def 8952 ref appTerm 9791 def betaConv 2661 ref 17 ref 38 ref 41 ref 5189 remove 2667 ref appTerm appTerm 9731 ref 9789 remove appTerm appTerm absTerm appTerm absTerm 9792 def 5008 ref appTerm 9793 def betaConv 9734 ref 4998 remove appTerm 9794 def betaConv 9737 ref nil 9738 ref 400 ref 9794 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9739 ref 470 ref 8342 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 9792 ref appTerm nil cons cons 400 ref 9793 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9792 remove nil cons cons 470 ref 5008 ref nil cons cons nil cons 9795 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9790 ref appTerm nil cons cons 400 ref 9791 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9790 remove nil cons cons 9740 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9787 remove 2206 ref 9788 ref 9741 ref appTerm appTerm 8957 ref appTerm appTerm nil cons cons 400 ref 9785 remove nil cons 9796 def cons nil cons 9797 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7311 remove cons nil cons nil cons cons 155 ref subst 5190 remove assume eqMp appThm 3517 ref 9788 ref refl 9798 def 9744 ref appThm appThm 8957 ref refl appThm appThm nil 150 ref 2206 ref 9788 ref 6952 ref appTerm 9799 def appTerm 8957 ref appTerm 9800 def nil cons 9801 def cons nil cons nil cons cons 614 ref subst trans appThm 9786 remove appThm sym nil 399 ref 9801 ref cons 9797 remove cons nil cons cons 9802 def 416 ref subst 9802 remove 467 ref subst 129 ref "_47982" 724 ref var 9803 def 41 ref 180 ref 9760 ref 9784 ref 187 ref 726 ref 9803 remove varTerm appTerm appTerm 9662 ref appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 9804 def 8957 remove appTerm 9805 def appTerm refl 9804 ref 9799 ref appTerm betaConv appThm 439 ref 9805 remove betaConv appThm 41 ref 180 ref 9760 ref 9784 ref 187 ref 726 ref 9799 remove appTerm 9806 def appTerm 9807 def 9662 ref appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 9804 remove refl 9800 remove assume sym appThm eqMp sym nil 470 ref 5010 ref nil cons cons 9808 def 2661 ref 2662 ref 2663 ref 5079 ref appTerm 9809 def appTerm 5086 ref appTerm 9810 def nil cons cons nil cons cons nil cons cons 2684 ref subst 5083 ref refl 5305 remove assume appThm 9811 def 9810 ref refl appThm trans sym 5975 ref refl 9812 def nil 1003 ref 5289 ref nil cons 9813 def cons 9814 def 4159 ref cons nil cons cons 1210 ref subst 9815 def appThm sym 9812 remove nil 2073 ref 1003 ref 5288 remove nil cons cons 1227 ref cons 9816 def cons nil cons cons 1169 ref subst 9817 def 1229 ref nil 2073 ref 1003 ref 5287 ref nil cons 9818 def cons 9819 def 1233 ref cons 9820 def cons nil cons cons 1169 ref subst 9821 def 1235 ref nil 2073 ref 1237 ref 6581 ref cons 9822 def cons nil cons cons 1169 ref subst 9823 def 6578 ref 2126 ref appThm 9824 def trans 9825 def appThm trans appThm trans 9826 def appThm nil 475 ref 5277 ref nil cons 9827 def cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp 9828 def eqMp 129 ref "_47988" 14 ref var 9829 def 5083 ref 9829 remove varTerm appTerm 9810 ref appTerm absTerm 9830 def 5277 ref appTerm 9831 def appTerm refl 9830 ref 2714 ref 5289 ref appTerm 9832 def appTerm betaConv appThm 439 ref 9831 remove betaConv appThm 5083 ref 9832 ref appTerm 9810 ref appTerm 9833 def refl appThm trans 9830 remove refl 5975 ref 9832 ref appTerm assume appThm eqMp sym 625 ref nil 2690 ref 5079 ref nil cons 9834 def cons 9835 def 2693 remove 9808 ref nil cons 9836 def cons cons nil cons cons 2711 ref subst nil 150 ref 7241 remove cons nil cons nil cons cons 155 ref subst 5080 remove assume eqMp trans appThm 5082 ref refl 2054 ref appThm 5289 ref refl 9837 def appThm 5086 ref refl appThm nil 150 ref 7245 remove cons nil cons nil cons cons 155 ref subst 5329 remove assume eqMp trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 5083 ref 192 ref appTerm 9809 ref appTerm appTerm 5082 ref 2713 ref appTerm 5289 ref appTerm 5086 ref appTerm appTerm nil cons cons 400 ref 9833 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 5086 ref nil cons 9838 def cons 2661 ref 9809 remove nil cons cons 9814 ref 2719 ref 2720 ref 9836 ref cons 9839 def cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 129 ref "_47986" 8 ref var 9840 def 180 ref 9662 ref appTerm 9841 def 726 ref 728 ref 9840 remove varTerm appTerm 6952 ref appTerm appTerm appTerm absTerm 9842 def 5010 ref appTerm 9843 def appTerm refl 9842 ref 9810 ref appTerm betaConv appThm 439 ref 9843 remove betaConv appThm 9841 ref 726 ref 728 ref 9810 ref appTerm 6952 ref appTerm appTerm appTerm refl appThm trans 9842 remove refl 2666 ref 9810 remove appTerm 5010 ref appTerm assume sym appThm eqMp sym 9841 ref refl 3190 ref nil 9692 ref 470 ref 9838 remove cons 9844 def 9835 remove nil cons cons cons nil cons cons 38 ref 2206 ref 728 ref 2662 ref 2695 remove appTerm 653 ref appTerm appTerm 47 ref appTerm appTerm "Data.List.::" const 0 ref 2 ref 3051 remove cons opType constTerm 9845 def 2842 ref appTerm 2797 ref appTerm appTerm absTerm 9846 def 47 ref appTerm 9847 def betaConv 470 ref 17 ref 9846 ref appTerm 9848 def absTerm 9849 def 653 ref appTerm 9850 def betaConv 2690 ref 11 ref 9849 ref appTerm 9851 def absTerm 9852 def 2694 ref appTerm 9853 def betaConv nil 34 ref 9852 ref appTerm 9854 def axiom nil 399 ref 9854 remove nil cons cons 400 ref 9853 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 9852 remove nil cons cons 2710 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9851 remove nil cons cons 400 ref 9850 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9849 remove nil cons cons 2682 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9848 remove nil cons cons 400 ref 9847 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9846 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm nil "t" 724 ref var 9855 def 728 ref 5086 ref appTerm 9856 def 6952 ref appTerm 9857 def nil cons cons 7598 ref 44 ref 5079 ref appTerm 9858 def 6952 ref appTerm 9859 def nil cons cons nil cons 9860 def cons nil cons cons 9855 ref 180 ref 726 ref 9845 remove 7601 ref appTerm 9855 remove varTerm 9861 def appTerm appTerm appTerm 7602 remove 726 ref 9861 ref appTerm appTerm appTerm absTerm 9862 def 9861 ref appTerm 9863 def betaConv 7598 ref 6012 remove 9862 ref appTerm 9864 def absTerm 9865 def 7601 ref appTerm 9866 def betaConv nil 607 ref 9865 ref appTerm 9867 def axiom nil 399 ref 9867 remove nil cons cons 400 ref 9866 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 9865 remove nil cons cons 7610 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9864 remove nil cons cons 400 ref 9863 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3194 ref 6016 remove 9862 remove nil cons cons 3518 ref 9861 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp subst nil 38 ref 726 ref 9857 ref appTerm 9868 def nil cons 9869 def cons 9860 remove cons nil cons cons 38 ref 180 ref 7603 remove appTerm 187 ref 2828 ref 7601 ref appTerm appTerm 2196 ref 47 ref appTerm appTerm appTerm absTerm 9870 def 47 ref appTerm 9871 def betaConv 7598 ref 17 ref 9870 ref appTerm 9872 def absTerm 9873 def 7601 remove appTerm 9874 def betaConv nil 607 ref 9873 ref appTerm 9875 def axiom nil 399 ref 9875 remove nil cons cons 400 ref 9874 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 9873 remove nil cons cons 7610 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9872 remove nil cons cons 400 ref 9871 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9870 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 9876 def subst trans trans appThm sym 38 ref 41 ref 5193 ref appTerm 9877 def 129 ref 9858 ref 9727 ref appTerm appTerm 8418 remove 47 ref appTerm 9878 def appTerm appTerm absTerm 9879 def 8952 ref appTerm 9880 def betaConv 580 ref 17 ref 38 ref 41 ref 5192 remove 581 ref appTerm appTerm 129 ref 582 remove 9727 ref appTerm appTerm 9881 def 9878 remove appTerm appTerm absTerm appTerm absTerm 9882 def 5079 remove appTerm 9883 def betaConv 460 ref 34 ref 580 ref 17 ref 38 ref 41 ref 5191 ref 589 ref appTerm 581 ref appTerm appTerm 9881 ref 591 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9884 def 5143 remove appTerm 9885 def betaConv nil 34 ref 9884 ref appTerm 9886 def axiom 9887 def nil 399 ref 9886 remove nil cons cons 9888 def 400 ref 9885 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 9884 ref nil cons cons 9889 def 8452 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 9882 ref appTerm nil cons cons 400 ref 9883 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 9882 remove nil cons cons 460 ref 9834 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9879 ref appTerm nil cons cons 400 ref 9880 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9879 remove nil cons cons 9740 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9877 remove 129 ref 9858 ref 9741 ref appTerm appTerm 8963 ref appTerm appTerm nil cons cons 400 ref 9841 ref 187 ref 2828 ref 9859 ref appTerm appTerm 9890 def 2196 ref 9868 ref appTerm appTerm 9891 def appTerm 9892 def nil cons 9893 def cons nil cons 9894 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7313 remove cons nil cons nil cons cons 155 ref subst 5193 remove assume eqMp appThm 439 ref 9858 remove refl 9744 ref appThm appThm 8963 ref refl appThm appThm nil 150 ref 129 ref 9859 ref appTerm 8963 ref appTerm 9895 def nil cons 9896 def cons nil cons nil cons cons 614 ref subst trans appThm 9892 remove refl appThm sym nil 399 ref 9896 ref cons 9894 remove cons nil cons cons 9897 def 416 ref subst 9897 remove 467 ref subst 129 ref "_47990" 2 ref var 9898 def 180 ref 187 ref 2828 ref 9898 remove varTerm appTerm appTerm 9509 ref appTerm appTerm 9891 ref appTerm absTerm 9899 def 8963 remove appTerm 9900 def appTerm refl 9899 ref 9859 remove appTerm betaConv appThm 439 ref 9900 remove betaConv appThm 180 ref 9890 ref 9509 remove appTerm appTerm 9891 ref appTerm 9901 def refl 9902 def appThm trans 9899 remove refl 9895 remove assume sym appThm eqMp sym 38 ref 41 ref 5195 ref appTerm 9903 def 2206 ref 9856 ref 9727 ref appTerm appTerm 8258 remove 47 ref appTerm 9904 def appTerm appTerm absTerm 9905 def 8952 remove appTerm 9906 def betaConv 2661 ref 17 ref 38 ref 41 ref 5194 remove 2667 ref appTerm appTerm 9731 ref 9904 remove appTerm appTerm absTerm appTerm absTerm 9907 def 5086 remove appTerm 9908 def betaConv 9734 ref 5000 remove appTerm 9909 def betaConv 9737 ref nil 9738 ref 400 ref 9909 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9739 ref 470 ref 8341 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 9907 ref appTerm nil cons cons 400 ref 9908 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9907 remove nil cons cons 9844 remove nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 9905 ref appTerm nil cons cons 400 ref 9906 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9905 remove nil cons cons 9740 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 9903 remove 2206 ref 9856 ref 9741 remove appTerm appTerm 8960 ref appTerm appTerm nil cons cons 400 ref 9901 remove nil cons 9910 def cons nil cons 9911 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7314 remove cons nil cons nil cons cons 155 ref subst 5195 remove assume eqMp appThm 3517 ref 9856 remove refl 9744 remove appThm appThm 8960 ref refl appThm appThm nil 150 ref 2206 ref 9857 ref appTerm 8960 ref appTerm 9912 def nil cons 9913 def cons nil cons nil cons cons 614 ref subst trans appThm 9902 remove appThm sym nil 399 ref 9913 ref cons 9911 remove cons nil cons cons 9914 def 416 ref subst 9914 remove 467 ref subst 129 ref "_47992" 724 ref var 9915 def 180 ref 9890 ref 2800 ref 726 ref 9915 remove varTerm appTerm appTerm 192 ref appTerm appTerm appTerm 9891 ref appTerm absTerm 9916 def 8960 remove appTerm 9917 def appTerm refl 9916 ref 9857 remove appTerm betaConv appThm 439 ref 9917 remove betaConv appThm 180 ref 9890 ref 2800 ref 9868 remove appTerm 192 ref appTerm appTerm appTerm 9891 remove appTerm refl appThm trans 9916 remove refl 9912 remove assume sym appThm eqMp sym 9890 remove refl nil 1003 ref 9869 remove cons nil cons nil cons cons 2863 remove subst appThm eqMp eqMp nil 435 ref 9913 remove cons 437 ref 9910 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 9896 remove cons 437 ref 9893 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp 129 ref "_47984" 14 ref var 9918 def 41 ref 180 ref 9760 ref 9784 ref 9807 ref 9918 remove varTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 9919 def 9662 remove appTerm 9920 def appTerm refl 9919 ref 726 ref 728 ref 5010 ref appTerm 9921 def 6952 ref appTerm appTerm 9922 def appTerm betaConv appThm 439 ref 9920 remove betaConv appThm 41 ref 180 ref 9760 ref 9784 ref 9807 ref 9922 ref appTerm 9923 def appTerm appTerm 9924 def appTerm 9925 def 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 9919 remove refl 9841 remove 9922 ref appTerm assume appThm eqMp sym 1131 ref nil 1116 ref 9923 ref nil cons cons 9926 def 1003 ref 9783 ref nil cons 9927 def cons 1006 ref 9759 ref nil cons 9928 def cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 9922 remove nil cons cons 9929 def 1003 ref 9806 ref nil cons 9930 def cons 9931 def 1006 ref 9760 ref 9783 remove appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans 1368 ref 1368 ref 1368 ref 3190 ref 9758 ref refl 9388 ref appThm appThm 9932 def appThm 4254 ref 3190 ref 9775 remove 9388 ref appThm appThm appThm 9618 ref appThm 9933 def appThm appThm 3190 ref 9798 ref 9388 ref appThm appThm 9934 def appThm appThm 3190 ref 9921 ref refl 9388 ref appThm appThm 9935 def appThm trans appThm nil 9926 remove 1003 ref 9928 remove cons 1006 ref 9927 remove cons nil cons cons cons nil cons cons 2078 ref subst nil 9929 remove 9931 ref 1006 ref 9784 ref 9759 remove appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans 1368 ref 1368 ref 1368 ref 9933 remove appThm 9932 remove appThm appThm 9934 ref appThm appThm 9935 remove appThm trans appThm nil 1003 ref 187 ref 187 ref 2800 ref 726 ref 9764 remove 9423 ref appTerm appTerm appTerm 9635 ref appTerm 9936 def appTerm 726 ref 9758 remove 9423 ref appTerm appTerm 9937 def appTerm 9938 def appTerm 726 ref 9788 ref 9423 ref appTerm appTerm 9939 def appTerm nil cons cons 1116 ref 726 ref 9921 remove 9423 ref appTerm appTerm nil cons cons 1006 ref 187 ref 187 ref 9937 ref appTerm 9936 ref appTerm 9940 def appTerm 9939 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 9938 remove nil cons cons 1116 ref 9939 ref nil cons 9941 def cons 1006 ref 9940 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans trans sym nil 1003 ref 9936 remove nil cons cons 1006 ref 9937 remove nil cons cons nil cons cons nil cons cons 1210 ref subst eqMp 129 ref "_47994" 14 ref var 9942 def 41 ref 180 ref 9942 remove varTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 9943 def 9924 remove appTerm 9944 def appTerm refl 9943 remove 9784 ref 9760 remove 9923 ref appTerm 9945 def appTerm 9946 def appTerm betaConv appThm 439 ref 9944 remove betaConv appThm 41 ref 180 ref 9946 ref appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 9653 ref 9925 remove 9946 remove appTerm assume appThm eqMp sym nil 9670 remove 2661 ref 2662 ref 5065 ref appTerm 2662 ref 2663 ref 5069 ref appTerm 9947 def appTerm 2662 ref 2663 ref 5070 ref appTerm 9948 def appTerm 2663 ref 5071 ref appTerm 9949 def appTerm 9950 def appTerm 9951 def appTerm 9952 def nil cons cons nil cons cons nil cons cons 2684 ref subst 9672 remove 9952 ref refl appThm trans sym 9058 remove nil 1116 ref 2714 ref 4193 ref appTerm 9953 def nil cons 9954 def cons 9955 def 9816 ref cons nil cons cons 1169 ref subst 1229 ref nil 9955 ref 9820 ref cons nil cons cons 1169 ref subst 1235 ref nil 9955 remove 9822 ref cons nil cons cons 1169 ref subst 6578 ref 4544 ref 4545 remove 2055 ref trans 9956 def appThm 1247 remove 2109 remove subst 2110 ref 4408 remove appThm trans 9957 def trans appThm trans appThm trans appThm trans appThm 9062 remove trans sym 154 ref eqMp 129 ref "_48000" 14 ref var 9958 def 5061 ref 9958 remove varTerm appTerm 9952 ref appTerm absTerm 9959 def 5301 ref appTerm 9960 def appTerm refl 9959 ref 187 ref 5289 ref appTerm 9961 def 9953 ref appTerm 9962 def appTerm betaConv appThm 439 ref 9960 remove betaConv appThm 5061 remove 9962 ref appTerm 9952 ref appTerm 9963 def refl appThm trans 9959 remove refl 9057 remove 9962 remove appTerm assume appThm eqMp sym 625 ref nil 150 ref 7225 remove cons nil cons nil cons cons 155 ref subst 5317 remove assume 9964 def eqMp appThm 9679 ref nil 9814 ref nil cons nil cons cons 1264 ref subst 9965 def appThm 9953 ref refl appThm 9951 ref refl appThm appThm nil 150 ref 5060 ref 5289 ref appTerm 9966 def 9953 ref appTerm 9951 ref appTerm nil cons 9967 def cons nil cons nil cons cons 633 ref subst trans sym 625 ref nil 2690 ref 5069 ref nil cons 9968 def cons 9969 def 707 ref 9813 ref cons 9970 def 9685 ref cons cons nil cons cons 2711 ref subst nil 150 ref 7229 remove cons nil cons nil cons cons 155 ref subst 5320 remove assume eqMp trans appThm 9679 remove 9817 remove 1229 ref 9821 remove 1235 ref 9823 remove appThm trans appThm trans appThm 4197 ref appThm 9950 ref refl appThm appThm nil 150 ref 5060 ref 700 ref 701 ref 5274 ref 4193 ref appTerm 9971 def appTerm 9972 def appTerm 9973 def appTerm 9974 def 4193 ref appTerm 9950 ref appTerm nil cons 9975 def cons nil cons nil cons cons 633 ref subst trans sym 625 ref nil 2690 ref 5070 ref nil cons 9976 def cons 9977 def 707 ref 9973 ref nil cons 9978 def cons 9685 ref cons cons nil cons cons 2711 ref subst 5068 remove refl 9979 def 1229 ref 1235 ref 9824 remove appThm appThm appThm 5070 ref refl appThm nil 150 ref 7231 remove cons nil cons nil cons cons 155 ref subst 5321 remove assume eqMp trans trans appThm nil 2690 ref 5071 ref nil cons 9980 def cons 9981 def 707 ref 187 ref 9973 remove appTerm 192 ref appTerm 9982 def nil cons cons 9685 ref cons cons nil cons cons 2711 ref subst 9979 remove nil 2073 ref 1003 ref 9972 remove nil cons cons 1227 ref cons cons nil cons cons 1169 ref subst 1229 ref nil 2073 ref 1003 ref 9971 remove nil cons cons 1233 ref cons cons nil cons cons 1169 ref subst 1235 ref nil 2073 ref 4207 ref 6581 remove cons cons nil cons cons 1169 ref subst 6578 ref 4543 remove 9956 ref trans appThm trans appThm trans appThm trans appThm 5071 ref refl appThm nil 150 ref 7233 remove cons nil cons nil cons cons 155 ref subst 5322 remove assume eqMp trans trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 9974 remove 192 ref appTerm 9948 ref appTerm appTerm 5060 ref 9982 remove appTerm 192 ref appTerm 9949 ref appTerm appTerm nil cons cons 400 ref 9975 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 9949 remove nil cons 9983 def cons 2661 ref 9948 remove nil cons 9984 def cons 1237 ref 2719 ref 695 ref 9978 remove cons 9685 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 42 ref 9966 remove 192 ref appTerm 9947 ref appTerm appTerm 5060 ref 9961 ref 192 ref appTerm 9985 def appTerm 4193 ref appTerm 9950 ref appTerm appTerm nil cons cons 400 ref 9967 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 9950 remove nil cons 9986 def cons 2661 ref 9947 remove nil cons 9987 def cons 4207 ref 2719 ref 695 ref 9813 ref cons 9988 def 9685 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 5318 remove 5060 remove 1259 ref 5289 ref appTerm 9989 def appTerm 9953 remove appTerm 9951 ref appTerm appTerm nil cons cons 400 ref 9963 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 9951 remove nil cons 9990 def cons 2661 ref 5065 ref nil cons 9991 def cons 9992 def 1003 ref 9954 remove cons 1006 ref 9813 ref cons 9993 def 9686 remove cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 129 ref "_47998" 8 ref var 9994 def 180 ref 187 ref 726 ref 728 ref 9994 remove varTerm appTerm 6952 ref appTerm appTerm appTerm 9923 ref appTerm appTerm 187 ref 726 ref 728 ref 5012 ref appTerm 6952 ref appTerm appTerm appTerm 9995 def 2196 ref 726 ref 728 ref 5014 ref appTerm 6952 ref appTerm appTerm 9996 def appTerm 9997 def appTerm 9998 def appTerm absTerm 9999 def 5002 ref appTerm 10000 def appTerm refl 9999 ref 9952 ref appTerm betaConv appThm 439 ref 10000 remove betaConv appThm 180 ref 187 ref 726 ref 728 ref 9952 ref appTerm 6952 ref appTerm appTerm appTerm 10001 def 9923 remove appTerm appTerm 9998 ref appTerm refl appThm trans 9999 remove refl 2666 ref 9952 remove appTerm 5002 ref appTerm assume sym appThm eqMp sym nil 9808 remove 2661 ref 2662 ref 5084 ref appTerm 2663 ref 5087 ref appTerm 10002 def appTerm 10003 def nil cons cons nil cons cons nil cons cons 2684 ref subst 9811 remove 10003 ref refl appThm trans sym 9828 remove 129 ref "_48004" 14 ref var 10004 def 5083 ref 10004 remove varTerm appTerm 10003 ref appTerm absTerm 10005 def 5277 ref appTerm 10006 def appTerm refl 10005 ref 9985 ref appTerm betaConv appThm 439 ref 10006 remove betaConv appThm 5083 remove 9985 ref appTerm 10003 ref appTerm 10007 def refl appThm trans 10005 remove refl 5975 remove 9985 ref appTerm assume appThm eqMp sym 625 ref nil 150 ref 7243 remove cons nil cons nil cons cons 155 ref subst 5327 remove assume 10008 def eqMp appThm nil 2690 ref 5087 ref nil cons 10009 def cons 10010 def 707 ref 9989 ref nil cons cons 9836 ref cons cons nil cons cons 2711 ref subst 5078 remove refl 9965 ref appThm 5087 ref refl appThm nil 150 ref 7247 remove cons nil cons nil cons cons 155 ref subst 5330 remove assume eqMp trans trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 5328 remove 5082 ref 9989 ref appTerm 192 ref appTerm 10002 ref appTerm appTerm nil cons cons 400 ref 10007 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 10002 remove nil cons 10011 def cons 2661 ref 5084 ref nil cons 10012 def cons 10013 def 1237 ref 9993 ref 9839 remove cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 129 ref "_48002" 8 ref var 10014 def 180 ref 10001 ref 9807 ref 726 ref 728 ref 10014 remove varTerm appTerm 6952 ref appTerm appTerm appTerm appTerm appTerm 9998 ref appTerm absTerm 10015 def 5010 ref appTerm 10016 def appTerm refl 10015 ref 10003 ref appTerm betaConv appThm 439 ref 10016 remove betaConv appThm 180 ref 10001 remove 9807 ref 726 ref 728 ref 10003 ref appTerm 6952 ref appTerm appTerm appTerm appTerm appTerm 10017 def 9998 ref appTerm refl appThm trans 10015 remove refl 2666 ref 10003 remove appTerm 5010 ref appTerm assume sym appThm eqMp sym nil 470 ref 5012 ref nil cons cons 10018 def 2661 ref 2662 ref 5093 ref appTerm 2662 ref 2663 ref 5097 ref appTerm 10019 def appTerm 2663 ref 5098 ref appTerm 10020 def appTerm 10021 def appTerm 10022 def nil cons cons nil cons cons nil cons cons 2684 ref subst 5089 ref refl 5306 remove assume appThm 10023 def 10022 ref refl appThm trans sym 180 ref 5284 ref appTerm 10024 def refl 10025 def nil 8806 ref 9816 remove cons nil cons cons 1169 ref subst 1229 ref nil 8806 ref 9820 remove cons nil cons cons 1169 ref subst 1235 ref nil 8806 remove 9822 ref cons nil cons cons 1169 ref subst 6578 ref 9956 ref appThm trans 10026 def appThm 10027 def trans appThm trans appThm nil 475 ref 5284 ref nil cons 10028 def cons nil cons nil cons cons 1281 ref subst 10029 def trans sym 154 ref eqMp 10030 def 129 ref "_48008" 14 ref var 10031 def 5089 ref 10031 remove varTerm appTerm 10022 ref appTerm absTerm 10032 def 5284 ref appTerm 10033 def appTerm refl 10032 ref 9961 remove 4193 ref appTerm 10034 def appTerm betaConv appThm 439 ref 10033 remove betaConv appThm 5089 ref 10034 ref appTerm 10022 ref appTerm 10035 def refl appThm trans 10032 remove refl 10024 ref 10034 ref appTerm assume 10036 def appThm eqMp sym 625 ref nil 150 ref 7251 remove cons nil cons nil cons cons 155 ref subst 5331 remove assume 10037 def eqMp appThm 5088 ref refl 10038 def 9965 ref appThm 4197 ref appThm 10021 ref refl appThm appThm nil 150 ref 5088 ref 5289 ref appTerm 10039 def 4193 ref appTerm 10021 ref appTerm nil cons 10040 def cons nil cons nil cons cons 633 ref subst trans sym 625 ref nil 2690 ref 5097 ref nil cons 10041 def cons 10042 def 9970 ref 10018 ref nil cons 10043 def cons cons nil cons cons 2711 ref subst nil 150 ref 7255 remove cons nil cons nil cons cons 155 ref subst 5335 remove assume eqMp trans appThm nil 2690 ref 5098 ref nil cons 10044 def cons 10045 def 707 ref 9985 ref nil cons cons 10046 def 10043 ref cons cons nil cons cons 2711 ref subst 5096 ref refl 10047 def 9826 ref appThm 5098 ref refl 10048 def appThm nil 150 ref 7257 remove cons nil cons nil cons cons 155 ref subst 5336 ref assume 10049 def eqMp trans trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 10039 remove 192 ref appTerm 10019 ref appTerm appTerm 5088 ref 9985 ref appTerm 192 ref appTerm 10020 ref appTerm appTerm nil cons cons 400 ref 10040 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 10020 ref nil cons 10050 def cons 10051 def 2661 ref 10019 remove nil cons 10052 def cons 1237 ref 2719 ref 9988 ref 10043 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 5332 remove 5088 ref 9989 ref appTerm 4193 ref appTerm 10021 ref appTerm appTerm nil cons cons 400 ref 10035 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 10021 remove nil cons 10053 def cons 2661 ref 5093 ref nil cons 10054 def cons 10055 def 4207 ref 9993 ref 2720 ref 10043 ref cons 10056 def cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 129 ref "_48006" 8 ref var 10057 def 10017 ref 187 ref 726 ref 728 ref 10057 remove varTerm appTerm 6952 ref appTerm appTerm appTerm 9997 ref appTerm appTerm absTerm 10058 def 5012 ref appTerm 10059 def appTerm refl 10058 ref 10022 ref appTerm betaConv appThm 439 ref 10059 remove betaConv appThm 10017 ref 187 ref 726 ref 728 ref 10022 ref appTerm 6952 ref appTerm appTerm appTerm 10060 def 9997 remove appTerm appTerm refl appThm trans 10058 remove refl 2666 ref 10022 remove appTerm 5012 ref appTerm assume sym appThm eqMp sym nil 470 ref 5014 ref nil cons cons 10061 def 2661 ref 2662 ref 5104 ref appTerm 2662 ref 2663 ref 5108 ref appTerm 10062 def appTerm 2663 ref 5109 ref appTerm 10063 def appTerm 10064 def appTerm 10065 def nil cons cons nil cons cons nil cons cons 2684 ref subst 5100 ref refl 5307 remove assume appThm 10066 def 10065 ref refl appThm trans sym 10030 remove 129 ref "_48012" 14 ref var 10067 def 5100 ref 10067 remove varTerm appTerm 10065 ref appTerm absTerm 10068 def 5284 ref appTerm 10069 def appTerm refl 10068 ref 10034 ref appTerm betaConv appThm 439 ref 10069 remove betaConv appThm 5100 ref 10034 remove appTerm 10065 ref appTerm 10070 def refl appThm trans 10068 remove refl 10036 remove appThm eqMp sym 625 ref nil 150 ref 7261 remove cons nil cons nil cons cons 155 ref subst 5337 remove assume 10071 def eqMp appThm 5099 ref refl 10072 def 9965 remove appThm 4197 ref appThm 10064 ref refl 10073 def appThm appThm nil 150 ref 5099 ref 5289 ref appTerm 10074 def 4193 ref appTerm 10064 ref appTerm nil cons 10075 def cons nil cons nil cons cons 633 ref subst 10076 def trans sym 625 ref nil 2690 ref 5108 ref nil cons 10077 def cons 10078 def 9970 remove 10061 ref nil cons 10079 def cons cons nil cons cons 2711 ref subst nil 150 ref 7265 remove cons nil cons nil cons cons 155 ref subst 5341 remove assume eqMp trans appThm nil 2690 ref 5109 ref nil cons 10080 def cons 10081 def 10046 remove 10079 ref cons cons nil cons cons 2711 ref subst 5107 remove refl 9826 ref appThm 5109 ref refl appThm nil 150 ref 7267 remove cons nil cons nil cons cons 155 ref subst 5342 remove assume eqMp trans trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 10074 remove 192 ref appTerm 10062 ref appTerm appTerm 5099 ref 9985 remove appTerm 192 ref appTerm 10063 ref appTerm appTerm nil cons cons 400 ref 10075 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 10063 remove nil cons 10082 def cons 2661 ref 10062 remove nil cons 10083 def cons 1237 ref 2719 ref 9988 ref 10079 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp 10084 def eqMp nil 399 ref 5338 remove 5099 ref 9989 remove appTerm 4193 ref appTerm 10064 ref appTerm appTerm nil cons cons 400 ref 10070 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 10064 ref nil cons 10085 def cons 10086 def 2661 ref 5104 ref nil cons 10087 def cons 10088 def 4207 ref 9993 remove 2720 ref 10079 ref cons 10089 def cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 129 ref "_48010" 8 ref var 10090 def 10017 ref 10060 ref 2196 ref 726 ref 728 ref 10090 remove varTerm appTerm 6952 ref appTerm appTerm appTerm appTerm appTerm absTerm 10091 def 5014 ref appTerm 10092 def appTerm refl 10091 ref 10065 ref appTerm betaConv appThm 439 ref 10092 remove betaConv appThm 10017 remove 10060 remove 2196 ref 726 ref 728 ref 10065 ref appTerm 6952 ref appTerm appTerm 10093 def appTerm appTerm appTerm refl appThm trans 10091 remove refl 2666 ref 10065 remove appTerm 5014 ref appTerm assume sym appThm eqMp sym 1131 ref 1368 ref nil 9692 ref 2661 ref 9990 remove cons 470 ref 9991 remove cons nil cons 10094 def cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5065 ref appTerm 10095 def 6952 ref appTerm appTerm 10096 def appTerm 10097 def refl 10098 def 4254 ref nil 9692 ref 2661 ref 9986 remove cons 470 ref 9987 remove cons nil cons cons cons nil cons cons 2813 ref subst 1368 ref nil 9692 ref 9969 remove nil cons 10099 def cons nil cons cons 2849 ref subst appThm 4254 ref nil 9692 ref 2661 ref 9983 remove cons 470 ref 9984 remove cons nil cons cons cons nil cons cons 2813 ref subst 1368 ref nil 9692 ref 9977 remove nil cons 10100 def cons nil cons cons 2849 ref subst appThm 4254 ref nil 9692 ref 9981 remove nil cons cons nil cons cons 2849 ref subst appThm nil 10100 remove nil cons cons 2853 ref subst appThm appThm trans appThm nil 10099 remove nil cons cons 2853 ref subst appThm nil 4175 ref 4223 ref 2800 ref 2828 ref 44 ref 5071 ref appTerm 10101 def 6952 ref appTerm 10102 def appTerm 10103 def appTerm 10104 def 192 ref appTerm nil cons cons 4224 ref 2828 ref 44 ref 5070 ref appTerm 10105 def 6952 ref appTerm 10106 def appTerm 10107 def nil cons 10108 def cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 10107 remove appTerm 10109 def 192 ref appTerm 10110 def appTerm 10111 def refl nil 4294 ref 4258 ref 1003 ref 10103 remove nil cons cons nil cons 10112 def cons cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm 181 ref 5065 ref appTerm 10113 def refl appThm nil 695 ref 10113 ref nil cons 10114 def cons 10115 def 4223 ref 10111 remove 10104 ref 4193 ref appTerm 10116 def appTerm nil cons cons 4224 ref 2828 ref 44 ref 5069 ref appTerm 10117 def 6952 ref appTerm appTerm 10118 def nil cons cons nil cons 10119 def cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 10118 ref appTerm 10120 def 10113 ref appTerm 10121 def appTerm 10122 def refl nil 10115 remove 4223 ref 10116 remove nil cons cons 4224 ref 10110 remove nil cons cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref nil 4256 ref 10114 ref cons 10123 def 4258 ref 1003 ref 10108 remove cons nil cons cons cons nil cons cons 4281 ref subst appThm nil 10123 remove 4257 ref 4206 remove cons 10112 remove cons cons nil cons cons 4281 ref subst appThm trans appThm trans trans appThm trans appThm 9807 ref refl 10124 def nil 9692 ref 2661 ref 10011 remove cons 470 ref 10012 remove cons nil cons 10125 def cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5084 ref appTerm 10126 def 6952 ref appTerm appTerm 10127 def appTerm 10128 def refl 10129 def 4254 ref nil 9692 ref 10010 remove nil cons cons nil cons cons 2849 ref subst appThm 181 ref 5084 ref appTerm 10130 def refl appThm appThm trans appThm appThm appThm 1368 ref nil 9692 ref 2661 ref 10053 remove cons 470 ref 10054 remove cons nil cons 10131 def cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5093 ref appTerm 10132 def 6952 ref appTerm appTerm 10133 def appTerm 10134 def refl 10135 def 4254 ref nil 9692 ref 2661 ref 10050 remove cons 10136 def 470 ref 10052 remove cons nil cons cons cons nil cons cons 2813 ref subst 1368 ref nil 9692 ref 10042 remove nil cons 10137 def cons nil cons cons 2849 ref subst appThm 4254 ref nil 9692 ref 10045 ref nil cons cons nil cons cons 2849 ref subst appThm 10138 def nil 10137 remove nil cons cons 2853 ref subst appThm appThm trans appThm 181 ref 5093 ref appTerm 10139 def refl appThm nil 695 ref 10139 ref nil cons 10140 def cons 4223 ref 2800 ref 2828 ref 44 ref 5098 ref appTerm 10141 def 6952 ref appTerm 10142 def appTerm 10143 def appTerm 10144 def 192 ref appTerm nil cons cons 4224 ref 2828 ref 44 ref 5097 ref appTerm 10145 def 6952 ref appTerm appTerm 10146 def nil cons cons nil cons 10147 def cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 10146 ref appTerm 10148 def 10139 ref appTerm 10149 def appTerm 10150 def refl nil 4256 ref 10140 remove cons 4258 ref 1003 ref 10143 ref nil cons 10151 def cons nil cons 10152 def cons cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm nil 1003 ref 10093 remove nil cons cons nil cons nil cons cons 4221 ref subst 4254 ref nil 9692 ref 2661 ref 10085 remove cons 10153 def 470 ref 10087 remove cons nil cons 10154 def cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5104 ref appTerm 10155 def 6952 ref appTerm appTerm 10156 def appTerm refl 4254 ref nil 9692 ref 2661 ref 10082 remove cons 470 ref 10083 remove cons nil cons cons cons nil cons cons 2813 ref subst 1368 ref nil 9692 ref 10078 remove nil cons 10157 def cons nil cons cons 2849 ref subst appThm 4254 ref nil 9692 ref 10081 remove nil cons cons nil cons cons 2849 ref subst appThm nil 10157 remove nil cons cons 2853 ref subst appThm appThm trans appThm 10158 def 181 ref 5104 ref appTerm 10159 def refl appThm nil 695 ref 10159 ref nil cons 10160 def cons 4223 ref 2800 ref 2828 ref 44 ref 5109 ref appTerm 10161 def 6952 ref appTerm 10162 def appTerm 10163 def appTerm 10164 def 192 ref appTerm nil cons cons 4224 ref 2828 ref 44 ref 5108 ref appTerm 10165 def 6952 ref appTerm appTerm 10166 def nil cons 10167 def cons nil cons cons 10168 def cons nil cons cons 4243 ref subst 187 ref 2800 ref 10166 ref appTerm 10169 def 10159 ref appTerm 10170 def appTerm 10171 def refl nil 4256 ref 10160 ref cons 4258 ref 1003 ref 10163 ref nil cons 10172 def cons nil cons 10173 def cons 10174 def cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm 2100 ref appThm nil 4175 ref 4223 ref 10171 remove 10164 ref 2714 ref 10159 ref appTerm 10175 def appTerm 10176 def appTerm nil cons cons 4224 ref 10156 ref nil cons 10177 def cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 10156 ref appTerm 192 ref appTerm 10178 def appTerm 10179 def refl 10180 def nil 4175 ref 4223 ref 10176 remove nil cons cons 4224 ref 10170 remove nil cons cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref nil 4294 ref 4257 ref 10160 ref cons 1003 ref 10167 ref cons nil cons 10181 def cons cons nil cons cons 4281 ref subst appThm nil 4294 ref 4257 ref 10175 ref nil cons cons 10173 ref cons cons nil cons cons 4281 ref subst appThm trans appThm trans trans trans appThm appThm sym 470 ref 167 ref 695 ref 2721 ref 5289 ref appTerm 10182 def 5065 ref appTerm absTerm appTerm absTerm 10183 def 5002 remove appTerm betaConv sym 695 ref 9752 remove 5289 ref appTerm 5065 ref appTerm absTerm 10184 def 191 ref appTerm betaConv sym 9964 remove eqMp 162 ref 160 ref 10184 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 10183 ref nil cons cons 9685 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 10183 remove appTerm nil cons cons 400 ref 180 ref 10113 ref appTerm 5289 ref appTerm 10185 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 9814 ref 9992 remove nil cons cons nil cons cons 3819 ref subst eqMp 470 ref 167 ref 695 ref 10182 ref 5084 ref appTerm absTerm appTerm absTerm 10186 def 5010 remove appTerm betaConv sym 695 ref 5082 remove 710 ref appTerm 5289 ref appTerm 5084 ref appTerm absTerm 10187 def 191 ref appTerm betaConv sym 10008 remove eqMp 162 ref 160 ref 10187 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 10186 ref nil cons cons 9836 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 10186 remove appTerm nil cons cons 400 ref 180 ref 10130 ref appTerm 5289 ref appTerm 10188 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 9814 ref 10013 remove nil cons cons nil cons cons 3819 ref subst eqMp 470 ref 167 ref 695 ref 10182 ref 5093 ref appTerm absTerm appTerm absTerm 10189 def 5012 ref appTerm betaConv sym 695 ref 5088 ref 710 ref appTerm 10190 def 5289 ref appTerm 5093 ref appTerm absTerm 10191 def 191 ref appTerm betaConv sym 10037 remove eqMp 162 ref 160 ref 10191 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 10189 ref nil cons cons 10043 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 10189 remove appTerm nil cons cons 400 ref 180 ref 10139 ref appTerm 5289 ref appTerm 10192 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 9814 ref 10055 remove nil cons cons nil cons cons 3819 ref subst eqMp 470 ref 167 ref 695 ref 10182 remove 5104 ref appTerm absTerm appTerm absTerm 10193 def 5014 ref appTerm betaConv sym 695 ref 5099 ref 710 ref appTerm 10194 def 5289 ref appTerm 5104 ref appTerm absTerm 10195 def 191 ref appTerm betaConv sym 10071 remove eqMp 162 ref 160 ref 10195 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 10193 ref nil cons cons 10079 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 10193 remove appTerm nil cons cons 400 ref 180 ref 10159 ref appTerm 5289 ref appTerm 10196 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 9814 remove 10088 remove nil cons cons nil cons cons 3819 ref subst eqMp 1131 ref nil 1116 ref 9807 ref 10128 ref 2800 ref 2828 ref 44 ref 5087 ref appTerm 10197 def 6952 ref appTerm appTerm 10198 def appTerm 10199 def 10130 remove appTerm appTerm appTerm nil cons cons 10200 def 1003 ref 10122 remove 187 ref 10109 ref 2714 ref 10113 ref appTerm appTerm 10201 def appTerm 10104 ref 187 ref 4193 ref appTerm 10113 remove appTerm appTerm 10202 def appTerm 10203 def appTerm nil cons cons 1006 ref 10096 remove nil cons cons nil cons 10204 def cons cons nil cons cons 1169 ref subst 10098 remove nil 10200 ref 1003 ref 10203 remove nil cons cons 1006 ref 10121 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst 1368 ref 10120 ref refl 10185 remove assume 10205 def appThm appThm nil 10200 remove 1003 ref 10202 remove nil cons cons 1006 ref 10201 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst 1368 ref 10109 ref refl 4544 ref 10205 remove appThm 10206 def appThm appThm 1368 ref 10104 ref refl nil 1116 ref 10114 remove cons 4542 ref cons nil cons cons 1169 ref subst 4544 ref 10206 remove appThm trans appThm appThm 10124 remove 10129 remove 10199 ref refl 10188 remove assume appThm appThm appThm appThm appThm trans appThm trans appThm trans appThm nil 1116 ref 10179 ref 187 ref 10169 ref 187 ref 10159 remove appTerm 192 ref appTerm appTerm appTerm 10164 ref 187 ref 10175 remove appTerm 192 ref appTerm appTerm appTerm appTerm nil cons cons 10207 def 1003 ref 10150 remove 10144 ref 2714 ref 10139 remove appTerm appTerm 10208 def appTerm nil cons cons 1006 ref 10133 remove nil cons cons nil cons 10209 def cons cons nil cons cons 1169 ref subst 10135 ref nil 10207 remove 1003 ref 10208 remove nil cons cons 1006 ref 10149 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst 1368 ref 10148 ref refl 10192 remove assume 10210 def appThm appThm 1368 ref 10144 ref refl 10211 def 4544 ref 10210 remove appThm appThm appThm 10180 remove 1368 ref 10169 ref refl 10212 def 1368 ref 10196 remove assume appThm 2100 ref appThm 9826 ref trans 10213 def appThm appThm 10164 ref refl 10214 def nil 2073 ref 1003 ref 10160 remove cons 4159 ref cons cons nil cons cons 1169 ref subst 4544 ref 10213 remove appThm trans appThm appThm appThm appThm appThm trans appThm trans appThm sym 1131 ref 9815 remove appThm 5277 ref refl 10215 def appThm sym 9826 remove eqMp 10216 def 129 ref "_48014" 14 ref var 10217 def 180 ref 10097 ref 187 ref 10120 remove 5289 ref appTerm 10218 def appTerm 10219 def 187 ref 10109 ref 10217 remove varTerm 10220 def appTerm appTerm 187 ref 10104 ref 2714 ref 10220 ref appTerm appTerm appTerm 9807 ref 10128 ref 10199 remove 5289 ref appTerm 10221 def appTerm 10222 def appTerm 10223 def appTerm appTerm appTerm appTerm appTerm 10134 ref 187 ref 10148 remove 5289 ref appTerm 10224 def appTerm 10225 def 187 ref 10144 ref 10220 remove appTerm appTerm 10179 ref 187 ref 10169 ref 5277 ref appTerm 10226 def appTerm 10227 def 10164 ref 2714 ref 5277 ref appTerm 10228 def appTerm appTerm 10229 def appTerm 10230 def appTerm appTerm appTerm appTerm absTerm 10231 def 9832 ref appTerm 10232 def appTerm refl 10231 ref 5277 ref appTerm betaConv appThm 439 ref 10232 remove betaConv appThm 180 ref 10097 ref 10219 ref 187 ref 10109 remove 5277 ref appTerm 10233 def appTerm 10234 def 187 ref 10104 ref 10228 ref appTerm appTerm 10223 ref appTerm appTerm appTerm appTerm appTerm 10134 ref 10225 ref 187 ref 10144 ref 5277 ref appTerm 10235 def appTerm 10236 def 10230 remove appTerm appTerm appTerm appTerm refl appThm trans 10231 remove refl 180 ref 9832 ref appTerm 5277 ref appTerm assume 10237 def appThm eqMp sym 1131 ref nil 1003 ref 9827 ref cons 4159 ref cons nil cons cons 1210 ref subst appThm 9598 ref appThm sym nil 2073 ref 6610 remove cons nil cons cons 1169 ref subst 1229 ref nil 2073 ref 6623 remove cons nil cons cons 1169 ref subst 1235 ref nil 2073 ref 6627 remove cons nil cons cons 1169 ref subst 6578 ref 9587 remove 2027 ref 1011 ref appTerm 10238 def betaConv 2029 ref 1009 ref appTerm 10239 def betaConv 2046 remove 2048 remove 451 ref subst proveHyp nil 399 ref 2047 remove cons 400 ref 10239 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2029 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2028 remove nil cons cons 400 ref 10238 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2027 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst 2053 remove 3328 ref appThm trans 10240 def appThm trans 10241 def appThm trans appThm trans 10242 def eqMp 10243 def 129 ref "_48016" 14 ref var 10244 def 180 ref 10097 ref 10219 ref 10234 ref 187 ref 10104 ref 10244 remove varTerm 10245 def appTerm appTerm 10223 ref appTerm appTerm appTerm appTerm appTerm 10134 ref 10225 ref 10236 ref 10179 ref 10227 ref 10164 ref 10245 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm 10246 def 10228 ref appTerm 10247 def appTerm refl 10246 ref 5284 ref appTerm betaConv appThm 439 ref 10247 remove betaConv appThm 180 ref 10097 ref 10219 ref 10234 ref 187 ref 10104 remove 5284 ref appTerm 10248 def appTerm 10249 def 10223 ref appTerm 10250 def appTerm 10251 def appTerm appTerm 10252 def appTerm 10253 def 10134 ref 10225 ref 10236 ref 10179 ref 10227 ref 10164 ref 5284 ref appTerm 10254 def appTerm 10255 def appTerm 10256 def appTerm 10257 def appTerm appTerm 10258 def appTerm 10259 def refl appThm trans 10246 remove refl 180 ref 10228 ref appTerm 5284 ref appTerm assume 10260 def appThm eqMp sym 1878 ref 42 ref 10253 ref 1881 ref appTerm appTerm 1888 ref 10258 ref appTerm 10261 def appTerm absTerm 10262 def 187 ref 10097 ref 9807 ref 10127 ref appTerm 10263 def appTerm 10264 def appTerm 10265 def 10219 ref 10234 ref 10249 ref 10221 ref appTerm 10266 def appTerm 10267 def appTerm 10268 def appTerm 10269 def appTerm betaConv sym 1131 ref nil 1116 ref 10251 remove nil cons cons 1003 ref 10218 ref nil cons 10270 def cons 10271 def 10204 ref cons cons nil cons cons 2078 ref subst nil 1116 ref 10250 remove nil cons cons 1003 ref 10233 ref nil cons 10272 def cons 10273 def 1006 ref 10097 remove 10218 ref appTerm 10274 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 10223 remove nil cons cons 1003 ref 10248 ref nil cons cons 10275 def 1006 ref 187 ref 10274 remove appTerm 10233 ref appTerm 10276 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 10222 remove nil cons cons 9931 ref 1006 ref 187 ref 10276 remove appTerm 10248 ref appTerm 10277 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 10221 ref nil cons 10278 def cons 10279 def 1003 ref 10127 remove nil cons 10280 def cons 10281 def 1006 ref 187 ref 10277 remove appTerm 9806 remove appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 3190 ref 10095 ref refl 10282 def 9388 ref appThm appThm appThm 10283 def 4254 ref 4005 ref 10117 ref refl 10284 def 9388 ref appThm appThm appThm nil 1116 ref 9818 ref cons 10285 def 8334 ref cons nil cons cons 10286 def 2078 ref subst nil 2073 ref 9401 ref cons nil cons cons 10287 def 2078 ref subst trans 10288 def appThm 10289 def appThm appThm 4254 ref 4005 ref 10105 ref refl 10290 def 9388 ref appThm appThm appThm nil 1116 ref 6621 remove cons 10291 def 8334 ref cons nil cons cons 10292 def 2078 ref subst nil 1219 ref 9401 remove cons nil cons cons 10293 def 2078 ref subst trans 10294 def appThm 10295 def appThm appThm 4254 ref 4005 ref 10101 ref refl 10296 def 9388 ref appThm appThm appThm 9595 remove 2078 ref subst 9593 remove 2078 ref subst trans 10297 def appThm 10298 def appThm appThm 9934 ref appThm appThm 3190 ref 10126 ref refl 10299 def 9388 ref appThm appThm 10300 def appThm appThm 4254 ref 4005 ref 10197 ref refl 9388 ref appThm appThm appThm 10288 ref appThm 10301 def appThm trans appThm nil 1116 ref 10267 ref nil cons 10302 def cons 10271 remove 1006 ref 10264 ref nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 10266 remove nil cons cons 10273 remove 1006 ref 10265 remove 10218 remove appTerm 10303 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 10279 ref 10275 ref 1006 ref 187 ref 10303 remove appTerm 10233 remove appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans 1368 ref 1368 ref 1368 ref 1368 ref nil 1116 ref 10280 remove cons 9931 remove 10204 ref cons cons nil cons cons 2078 ref subst 1368 ref 10283 remove 9934 remove appThm appThm 10300 remove appThm trans appThm 10289 remove appThm appThm 10295 remove appThm appThm 10298 remove appThm appThm 10301 remove appThm trans appThm nil 1003 ref 187 ref 187 ref 187 ref 187 ref 187 ref 726 ref 10095 ref 9423 ref appTerm appTerm 10304 def appTerm 10305 def 9939 ref appTerm 10306 def appTerm 726 ref 10126 ref 9423 ref appTerm appTerm 10307 def appTerm 10308 def appTerm 2800 ref 2828 ref 10117 ref 9423 ref appTerm appTerm appTerm 9420 ref 192 ref appTerm 10309 def appTerm 10310 def appTerm 10311 def appTerm 2800 ref 2828 ref 10105 ref 9423 ref appTerm appTerm appTerm 9420 remove 207 ref appTerm 10312 def appTerm 10313 def appTerm appTerm 2800 ref 2828 ref 10101 ref 9423 ref appTerm appTerm appTerm 9590 ref appTerm 10314 def appTerm nil cons cons 1116 ref 2800 ref 2828 ref 10197 ref 9423 ref appTerm appTerm appTerm 10309 ref appTerm nil cons cons 1006 ref 187 ref 187 ref 187 ref 187 ref 10305 remove 10310 ref appTerm 10315 def appTerm 10313 ref appTerm 10316 def appTerm 10314 ref appTerm 10317 def appTerm 9939 ref appTerm appTerm 10307 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans sym 1131 ref nil 1116 ref 10307 ref nil cons 10318 def cons 1003 ref 9941 remove cons 10319 def 1006 ref 10317 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 9939 remove appTerm 10307 ref appTerm 10320 def nil cons cons 1003 ref 10314 ref nil cons 10321 def cons 1006 ref 10316 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 10314 ref appTerm 10320 remove appTerm 10322 def nil cons cons 1003 ref 10313 ref nil cons cons 10323 def 1006 ref 10315 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 10313 remove appTerm 10324 def 10322 remove appTerm nil cons cons 1003 ref 10310 ref nil cons cons 10325 def 1006 ref 10304 remove nil cons cons nil cons 10326 def cons cons nil cons cons 1169 ref subst trans trans trans 1368 ref 3190 ref 10282 remove 9445 ref appThm appThm appThm 10327 def 1368 ref 4254 ref 4005 ref 10284 remove 9445 ref appThm appThm appThm 10287 remove 1169 ref subst 10286 remove 1169 ref subst 10328 def trans 10329 def appThm appThm 10330 def 1368 ref 4254 ref 4005 ref 10290 remove 9445 ref appThm appThm appThm 10293 remove 1169 ref subst 10292 remove 1169 ref subst trans 10331 def appThm appThm 10332 def 1368 ref 4254 ref 4005 ref 10296 remove 9445 ref appThm appThm appThm 9597 ref appThm 10333 def appThm 1368 ref 3190 ref 9798 remove 9445 ref appThm appThm appThm 10334 def 3190 ref 10299 remove 9445 ref appThm appThm 10335 def appThm appThm appThm appThm appThm trans appThm nil 1116 ref 10321 remove cons 10323 remove 1006 ref 10311 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 10324 remove 10314 remove appTerm 10336 def nil cons cons 10325 remove 1006 ref 10308 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 10310 remove appTerm 10336 remove appTerm 10337 def nil cons cons 1003 ref 10318 remove cons 1006 ref 10306 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 10307 remove appTerm 10337 remove appTerm nil cons cons 10319 remove 10326 remove cons cons nil cons cons 1169 ref subst trans trans trans 10327 remove 10334 remove 1368 ref 10335 remove appThm 10330 remove 10332 remove 10333 remove appThm appThm appThm appThm appThm trans appThm nil 1116 ref 9807 remove 10128 remove 10219 ref 10234 ref 10248 remove appTerm 10338 def appTerm 10339 def appTerm appTerm nil cons cons 1003 ref 10219 ref 10234 ref 10249 remove 10263 ref appTerm appTerm appTerm 10340 def nil cons 10341 def cons 10204 remove cons cons nil cons cons 1192 ref subst trans sym 180 ref 10340 remove appTerm refl 10342 def nil 1116 ref 10339 remove nil cons 10343 def cons 10281 remove 1006 ref 9930 remove cons nil cons cons cons nil cons cons 2078 ref subst appThm sym 10342 ref nil 1003 ref 10343 remove cons 1006 ref 10263 remove nil cons 10344 def cons nil cons cons nil cons cons 1210 ref subst appThm sym 10342 remove nil 1116 ref 10344 remove cons 10345 def 1003 ref 10338 ref nil cons 10346 def cons 10347 def 1006 ref 10270 remove cons nil cons 10348 def cons cons nil cons cons 1169 ref subst 10219 remove refl nil 10345 remove 10275 remove 1006 ref 10272 remove cons nil cons cons 10349 def cons nil cons cons 1169 ref subst appThm trans appThm nil 475 ref 10341 remove cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp eqMp nil 399 ref 10253 remove 10269 ref appTerm nil cons cons 400 ref 180 ref 10269 ref appTerm 10258 ref appTerm 10350 def nil cons 10351 def cons nil cons 10352 def cons nil cons cons 467 ref subst proveHyp 38 ref 41 ref 5152 ref appTerm 10353 def 180 ref 187 ref 726 ref 10095 remove 47 ref appTerm appTerm appTerm 10354 def 187 ref 726 ref 9788 remove 47 ref appTerm appTerm appTerm 10355 def 726 ref 10126 remove 47 ref appTerm appTerm appTerm appTerm appTerm 10356 def 187 ref 726 ref 10132 ref 47 ref appTerm appTerm appTerm 10357 def 2196 ref 726 ref 10155 ref 47 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 10358 def 6952 ref appTerm 10359 def betaConv 2957 ref 17 ref 38 ref 41 ref 5151 remove 2958 ref appTerm appTerm 10356 ref 10357 remove 2959 ref appTerm appTerm appTerm absTerm appTerm absTerm 10360 def 5104 remove appTerm 10361 def betaConv 2962 ref 11 ref 2957 ref 17 ref 38 ref 41 ref 5150 remove 2963 ref appTerm 2958 ref appTerm appTerm 10356 remove 2964 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10362 def 5093 remove appTerm 10363 def betaConv 2716 ref 11 ref 2962 ref 11 ref 2957 ref 17 ref 38 ref 41 ref 5149 remove 2722 ref appTerm 2963 ref appTerm 2958 ref appTerm appTerm 180 ref 10354 ref 10355 remove 2968 ref appTerm appTerm appTerm 2964 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10364 def 5084 remove appTerm 10365 def betaConv 2661 ref 11 ref 2716 ref 11 ref 2962 ref 11 ref 2957 ref 17 ref 38 ref 41 ref 5148 remove 2667 ref appTerm 2722 ref appTerm 2963 ref appTerm 2958 ref appTerm appTerm 180 ref 10354 remove 2971 ref appTerm appTerm 2964 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10366 def 5008 remove appTerm 10367 def betaConv 2974 ref 5065 remove appTerm 10368 def betaConv 2977 ref nil 2978 ref 400 ref 10368 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2979 ref 10094 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 10366 ref appTerm nil cons cons 400 ref 10367 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 10366 remove nil cons cons 9795 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 10364 ref appTerm nil cons cons 400 ref 10365 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 10364 remove nil cons cons 10125 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 10362 ref appTerm nil cons cons 400 ref 10363 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 10362 remove nil cons cons 10131 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 10360 ref appTerm nil cons cons 400 ref 10361 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 10360 remove nil cons cons 10154 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 10358 ref appTerm nil cons cons 400 ref 10359 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 10358 remove nil cons cons 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 10353 remove 180 ref 10264 ref appTerm 10134 ref 2196 ref 10156 remove appTerm 10369 def appTerm 10370 def appTerm 10371 def appTerm nil cons cons 10352 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7287 remove cons nil cons nil cons cons 155 ref subst 5152 remove assume eqMp appThm 10371 ref refl appThm nil 150 ref 10371 ref nil cons 10372 def cons nil cons nil cons cons 614 ref subst trans appThm 10350 remove refl appThm sym nil 399 ref 10372 ref cons 10352 remove cons nil cons cons 10373 def 416 ref subst 10373 remove 467 ref subst 129 ref "_48018" 14 ref var 10374 def 180 ref 187 ref 10374 remove varTerm appTerm 10268 ref appTerm appTerm 10258 ref appTerm absTerm 10375 def 10264 remove appTerm 10376 def appTerm refl 10375 ref 10370 ref appTerm betaConv appThm 439 ref 10376 remove betaConv appThm 180 ref 187 ref 10370 remove appTerm 10268 ref appTerm appTerm 10258 ref appTerm refl appThm trans 10375 remove refl 10371 remove assume appThm eqMp sym 1131 ref nil 1116 ref 10268 ref nil cons 10377 def cons 1003 ref 10369 remove nil cons cons 10209 ref cons cons nil cons cons 1169 ref subst 10135 remove 1368 ref nil 1003 ref 10177 remove cons nil cons nil cons cons 4221 ref subst appThm 10268 ref refl appThm appThm trans appThm 10258 ref refl appThm sym 1878 ref 42 ref 180 ref 10134 ref 10179 ref 10268 ref appTerm 10378 def appTerm 10379 def appTerm 10380 def 1881 ref appTerm appTerm 10261 remove appTerm absTerm 10381 def 10134 ref 10179 ref 10225 ref 10236 ref 10255 ref appTerm 10382 def appTerm 10383 def appTerm 10384 def appTerm 10385 def appTerm betaConv sym nil 1116 ref 10384 remove nil cons cons 1003 ref 10378 remove nil cons cons 10209 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 10383 ref nil cons 10386 def cons 10387 def 1003 ref 10377 ref cons 1006 ref 10178 ref nil cons 10388 def cons nil cons 10389 def cons cons nil cons cons 1192 ref subst trans sym 1878 ref 42 ref 180 ref 10268 remove appTerm 10390 def 1881 ref appTerm appTerm 1888 remove 10383 ref appTerm 10391 def appTerm absTerm 10392 def 187 ref 2800 ref 187 ref 10118 remove appTerm 10198 ref appTerm 10393 def appTerm 5289 ref appTerm appTerm 10338 ref appTerm 10394 def appTerm betaConv sym 10390 ref refl 1368 ref nil 9988 ref 4223 ref 10198 remove nil cons cons 10119 remove cons cons nil cons cons 4243 ref subst appThm 10338 ref refl 10395 def appThm nil 1116 ref 10346 remove cons 1003 ref 10278 ref cons 10348 ref cons cons nil cons cons 1169 ref subst trans appThm nil 1116 ref 187 ref 10221 remove appTerm 10338 ref appTerm nil cons cons 1003 ref 10302 ref cons 10348 remove cons cons nil cons cons 1192 ref subst trans sym 180 ref 10267 remove appTerm refl 10396 def nil 10347 ref 1006 ref 10278 remove cons nil cons cons nil cons cons 1210 ref subst appThm sym 10396 remove nil 10279 remove 10349 remove cons nil cons cons 1169 ref subst appThm nil 475 ref 10302 remove cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp nil 399 ref 10390 ref 10394 ref appTerm nil cons cons 400 ref 180 ref 10394 ref appTerm 10383 ref appTerm 10397 def nil cons 10398 def cons nil cons 10399 def cons nil cons cons 467 ref subst proveHyp 38 ref 41 ref 5156 ref appTerm 10400 def 180 ref 187 ref 2828 ref 10117 remove 47 ref appTerm appTerm appTerm 10401 def 2828 ref 10197 remove 47 ref appTerm appTerm appTerm appTerm 10402 def 187 ref 2828 ref 10145 ref 47 ref appTerm appTerm appTerm 10403 def 2196 ref 2828 ref 10165 ref 47 ref appTerm appTerm 10404 def appTerm appTerm appTerm appTerm absTerm 10405 def 6952 ref appTerm 10406 def betaConv 2904 ref 17 ref 38 ref 41 ref 5155 remove 2905 ref appTerm appTerm 10402 ref 10403 remove 2906 ref appTerm appTerm appTerm absTerm appTerm absTerm 10407 def 5108 ref appTerm 10408 def betaConv 2909 ref 34 ref 2904 ref 17 ref 38 ref 41 ref 5154 remove 2910 ref appTerm 2905 ref appTerm appTerm 10402 remove 2912 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10409 def 5097 remove appTerm 10410 def betaConv 580 ref 34 ref 2909 ref 34 ref 2904 ref 17 ref 38 ref 41 ref 5153 remove 581 ref appTerm 2910 ref appTerm 2905 ref appTerm appTerm 180 ref 10401 remove 2915 ref appTerm appTerm 2912 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10411 def 5087 remove appTerm 10412 def betaConv 2920 remove 5069 remove appTerm 10413 def betaConv 2923 remove nil 2924 remove 400 ref 10413 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 2925 remove 460 ref 9968 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 10411 ref appTerm nil cons cons 400 ref 10412 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 10411 remove nil cons cons 460 ref 10009 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 10409 ref appTerm nil cons cons 400 ref 10410 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 10409 remove nil cons cons 460 ref 10041 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 10407 ref appTerm nil cons cons 400 ref 10408 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 10407 remove nil cons cons 460 ref 10077 remove cons nil cons 10414 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 10405 ref appTerm nil cons cons 400 ref 10406 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 10405 remove nil cons cons 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 10400 remove 180 ref 10393 ref appTerm 187 ref 10146 remove appTerm 2196 ref 10166 ref appTerm 10415 def appTerm 10416 def appTerm 10417 def appTerm nil cons cons 10399 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7289 remove cons nil cons nil cons cons 155 ref subst 5156 remove assume eqMp appThm 10417 ref refl appThm nil 150 ref 10417 ref nil cons 10418 def cons nil cons nil cons cons 614 ref subst trans appThm 10397 remove refl appThm sym nil 399 ref 10418 ref cons 10399 remove cons nil cons cons 10419 def 416 ref subst 10419 remove 467 ref subst 129 ref "_48020" 14 ref var 10420 def 180 ref 187 ref 2800 ref 10420 remove varTerm appTerm 5289 ref appTerm appTerm 10338 ref appTerm appTerm 10383 ref appTerm absTerm 10421 def 10393 remove appTerm 10422 def appTerm refl 10421 ref 10416 ref appTerm betaConv appThm 439 ref 10422 remove betaConv appThm 180 ref 187 ref 2800 ref 10416 remove appTerm 5289 remove appTerm 10423 def appTerm 10424 def 10338 ref appTerm 10425 def appTerm 10426 def 10383 ref appTerm 10427 def refl appThm trans 10421 remove refl 10417 remove assume appThm eqMp sym 1878 ref 42 ref 10426 ref 1881 ref appTerm appTerm 10391 remove appTerm absTerm 10428 def 10424 remove 10236 ref 10254 ref appTerm 10429 def appTerm 10430 def appTerm betaConv sym nil 1116 ref 10429 ref nil cons cons 10347 remove 1006 ref 10423 remove nil cons cons nil cons cons cons nil cons cons 1192 ref subst sym 38 ref 41 ref 5158 ref appTerm 10431 def 129 ref 10141 ref 47 ref appTerm 10432 def appTerm 10105 remove 47 ref appTerm 10433 def appTerm appTerm absTerm 10434 def 6952 ref appTerm 10435 def betaConv 580 ref 17 ref 38 ref 41 ref 5157 remove 581 ref appTerm appTerm 584 ref 10433 remove appTerm appTerm absTerm appTerm absTerm 10436 def 5098 ref appTerm 10437 def betaConv 592 ref 5070 remove appTerm 10438 def betaConv 595 ref nil 596 ref 400 ref 10438 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 597 ref 460 ref 9976 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 10436 ref appTerm nil cons cons 400 ref 10437 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 10436 remove nil cons cons 460 ref 10044 remove cons nil cons 10439 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 10434 ref appTerm nil cons cons 400 ref 10435 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 10434 remove nil cons cons 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 10431 remove 129 ref 10142 ref appTerm 10106 ref appTerm 10440 def appTerm nil cons cons 400 ref 180 ref 10338 ref appTerm 10441 def 10429 ref appTerm 10442 def nil cons 10443 def cons nil cons 10444 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7291 remove cons nil cons nil cons cons 155 ref subst 5158 remove assume eqMp appThm 10440 ref refl appThm nil 150 ref 10440 ref nil cons 10445 def cons nil cons nil cons cons 614 ref subst trans appThm 10442 remove refl appThm sym nil 399 ref 10445 ref cons 10444 remove cons nil cons cons 10446 def 416 ref subst 10446 remove 467 ref subst 129 ref "_48024" 2 ref var 10447 def 10441 ref 187 ref 2800 ref 2828 ref 10447 remove varTerm appTerm appTerm 5277 ref appTerm appTerm 10254 ref appTerm appTerm absTerm 10448 def 10142 remove appTerm 10449 def appTerm refl 10448 ref 10106 remove appTerm betaConv appThm 439 ref 10449 remove betaConv appThm 10441 ref 10234 ref 10254 ref appTerm appTerm 10450 def refl 10451 def appThm trans 10448 remove refl 10440 remove assume appThm eqMp sym 38 ref 41 ref 5160 ref appTerm 10452 def 129 ref 10161 ref 47 ref appTerm 10453 def appTerm 10101 remove 47 ref appTerm 10454 def appTerm appTerm absTerm 10455 def 6952 ref appTerm 10456 def betaConv 580 ref 17 ref 38 ref 41 ref 5159 remove 581 ref appTerm appTerm 584 ref 10454 remove appTerm appTerm absTerm appTerm absTerm 10457 def 5109 ref appTerm 10458 def betaConv 592 ref 5071 remove appTerm 10459 def betaConv 595 ref nil 596 ref 400 ref 10459 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 597 ref 460 ref 9980 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 10457 ref appTerm nil cons cons 400 ref 10458 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 10457 remove nil cons cons 460 ref 10080 remove cons nil cons 10460 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 10455 ref appTerm nil cons cons 400 ref 10456 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 10455 remove nil cons cons 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 10452 remove 129 ref 10162 ref appTerm 10461 def 10102 ref appTerm 10462 def appTerm nil cons cons 400 ref 10450 remove nil cons 10463 def cons nil cons 10464 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7293 remove cons nil cons nil cons cons 155 ref subst 5160 remove assume eqMp appThm 10462 ref refl appThm nil 150 ref 10462 ref nil cons 10465 def cons nil cons nil cons cons 614 ref subst trans appThm 10451 remove appThm sym nil 399 ref 10465 ref cons 10464 remove cons nil cons cons 10466 def 416 ref subst 10466 remove 467 ref subst 129 ref "_48026" 2 ref var 10467 def 10441 ref 10234 remove 2800 ref 2828 ref 10467 remove varTerm appTerm appTerm 5284 ref appTerm appTerm appTerm absTerm 10468 def 10162 ref appTerm 10469 def appTerm refl 10468 ref 10102 remove appTerm betaConv appThm 439 ref 10469 remove betaConv appThm 10441 remove 10338 remove appTerm refl appThm trans 10468 remove refl 10462 remove assume appThm eqMp sym 10395 remove eqMp eqMp nil 435 ref 10465 remove cons 437 ref 10463 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 10445 remove cons 437 ref 10443 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 399 ref 10426 remove 10430 ref appTerm nil cons cons 400 ref 180 ref 10430 ref appTerm 10383 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 1131 ref 1368 ref nil 9988 remove 4223 ref 10415 remove nil cons cons 10147 remove cons cons nil cons cons 4243 ref subst 10225 ref refl 4254 ref nil 10181 ref nil cons cons 4221 ref subst appThm 9837 remove appThm nil 4256 ref 9813 remove cons 4258 ref 10181 ref cons cons nil cons cons 4281 ref subst trans appThm trans appThm 10429 ref refl appThm appThm 10383 ref refl appThm sym 10216 remove 129 ref "_48022" 14 ref var 10470 def 180 ref 187 ref 10225 ref 10169 ref 10470 remove varTerm appTerm appTerm appTerm 10429 ref appTerm appTerm 10383 ref appTerm absTerm 10471 def 9832 remove appTerm 10472 def appTerm refl 10471 ref 5277 ref appTerm betaConv appThm 439 ref 10472 remove betaConv appThm 180 ref 187 ref 10225 ref 10226 ref appTerm 10473 def appTerm 10429 remove appTerm appTerm 10383 ref appTerm refl appThm trans 10471 remove refl 10237 remove appThm eqMp sym 1131 ref nil 1116 ref 10254 ref nil cons 10474 def cons 10475 def 1003 ref 10235 ref nil cons 10476 def cons 10477 def 1006 ref 10473 remove nil cons cons nil cons cons cons nil cons cons 2078 ref subst 1368 ref 1368 ref 1368 ref 4254 ref 4005 ref 10145 ref refl 10478 def 9388 ref appThm appThm appThm 10288 remove appThm 10479 def appThm 10480 def 4254 ref 4005 ref 10165 ref refl 10481 def 9388 ref appThm appThm appThm 10294 ref appThm 10482 def appThm appThm 4254 ref 4005 ref 10141 ref refl 10483 def 9388 ref appThm appThm appThm 10294 ref appThm 10484 def appThm appThm 4254 ref 4005 ref 10161 ref refl 10485 def 9388 ref appThm 10486 def appThm appThm 10297 ref appThm 10487 def appThm trans appThm nil 1116 ref 10255 ref nil cons cons 10488 def 10477 ref 1006 ref 10224 ref nil cons 10489 def cons nil cons 10490 def cons 10491 def cons nil cons cons 2078 ref subst nil 10475 ref 1003 ref 10226 ref nil cons 10492 def cons 10493 def 1006 ref 10225 ref 10235 ref appTerm 10494 def nil cons 10495 def cons nil cons cons cons nil cons cons 2078 ref subst trans 1368 ref 1368 ref 10480 remove 10484 ref appThm appThm 10482 ref appThm appThm 10487 ref appThm trans appThm nil 1003 ref 187 ref 187 ref 2800 ref 2828 ref 10145 remove 9423 ref appTerm appTerm appTerm 10309 remove appTerm 10496 def appTerm 10497 def 2800 ref 2828 ref 10141 remove 9423 ref appTerm appTerm appTerm 10312 ref appTerm 10498 def appTerm 10499 def appTerm 2800 ref 2828 ref 10165 remove 9423 ref appTerm appTerm appTerm 10312 ref appTerm 10500 def appTerm nil cons cons 1116 ref 2800 ref 2828 ref 10161 remove 9423 ref appTerm 10501 def appTerm appTerm 9590 ref appTerm 10502 def nil cons 10503 def cons 10504 def 1006 ref 187 ref 10497 remove 10500 ref appTerm appTerm 10498 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans sym 1131 ref nil 1116 ref 10498 ref nil cons 10505 def cons 10506 def 1003 ref 10500 ref nil cons 10507 def cons 10508 def 1006 ref 10496 ref nil cons 10509 def cons nil cons 10510 def cons cons nil cons cons 1169 ref subst 1368 ref 4254 ref 4005 ref 10478 remove 9445 ref appThm appThm appThm 10329 remove appThm appThm 10511 def 1368 ref 4254 ref 4005 ref 10481 remove 9445 ref appThm appThm appThm 10331 ref appThm 10512 def appThm 10513 def 4254 ref 4005 ref 10483 remove 9445 ref appThm appThm appThm 10331 ref appThm 10514 def appThm appThm trans appThm nil 1116 ref 10507 remove cons 10515 def 1003 ref 10505 remove cons 10516 def 10510 remove cons cons nil cons cons 1169 ref subst 10511 ref 1368 ref 10514 ref appThm 10517 def 10512 ref appThm appThm trans appThm nil 1116 ref 10236 ref 10226 ref appTerm 10518 def nil cons 10519 def cons 10520 def 1003 ref 10227 ref 10235 ref appTerm 10521 def nil cons 10522 def cons 10490 remove cons cons nil cons cons 1192 ref subst trans sym 180 ref 10521 remove appTerm refl nil 10493 ref 1006 ref 10476 remove cons nil cons 10523 def cons 10524 def nil cons cons 1210 ref subst appThm sym nil 475 ref 10522 remove cons nil cons nil cons cons 1281 ref subst sym 154 ref eqMp eqMp eqMp eqMp eqMp proveHyp eqMp eqMp eqMp 162 ref 160 ref 10428 ref nil cons cons 475 ref 10430 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 10428 remove appTerm nil cons cons 400 ref 10427 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1876 ref 10386 remove cons 10525 def 475 ref 10425 remove nil cons cons nil cons cons nil cons cons 4829 ref subst eqMp eqMp eqMp nil 435 ref 10418 remove cons 437 ref 10398 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 10392 ref nil cons cons 475 ref 10394 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 10392 remove appTerm nil cons cons 400 ref 10390 remove 10383 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 10525 remove 475 ref 10377 remove cons nil cons cons nil cons cons 4829 ref subst eqMp eqMp nil 399 ref 10380 ref 10385 ref appTerm nil cons cons 400 ref 180 ref 10385 ref appTerm 10258 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 1131 ref nil 10387 remove 1003 ref 10388 ref cons 10526 def 10209 ref cons cons nil cons cons 2078 ref subst nil 1116 ref 10382 remove nil cons cons 1003 ref 10489 remove cons 10527 def 1006 ref 10134 ref 10178 ref appTerm 10528 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 10488 ref 10477 ref 1006 ref 187 ref 10528 remove appTerm 10224 ref appTerm 10529 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 10475 ref 10493 ref 1006 ref 187 ref 10529 remove appTerm 10235 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 3190 ref 10132 ref refl 10530 def 9388 ref appThm appThm appThm 10531 def 4254 ref 3190 ref 10155 ref refl 10532 def 9388 ref appThm appThm appThm 2100 ref appThm 10533 def appThm appThm 10479 ref appThm appThm 10484 ref appThm appThm 10482 ref appThm appThm 10487 ref appThm trans appThm nil 1116 ref 10257 remove nil cons cons 10527 remove 10209 ref cons cons nil cons cons 2078 ref subst nil 1116 ref 10256 remove nil cons cons 10477 ref 1006 ref 10134 remove 10224 remove appTerm 10534 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 10488 ref 10526 remove 1006 ref 187 ref 10534 remove appTerm 10235 ref appTerm 10535 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 10475 ref 10493 ref 1006 ref 187 ref 10535 remove appTerm 10178 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 10531 remove 10479 remove appThm appThm 10484 ref appThm appThm 10533 remove appThm appThm 10482 ref appThm appThm 10487 ref appThm trans appThm nil 1003 ref 187 ref 187 ref 187 ref 187 ref 726 ref 10132 remove 9423 ref appTerm appTerm 10536 def appTerm 10537 def 10496 ref appTerm 10538 def appTerm 10498 ref appTerm appTerm 2800 ref 726 ref 10155 remove 9423 ref appTerm appTerm appTerm 192 ref appTerm 10539 def appTerm 10540 def appTerm 10500 ref appTerm nil cons cons 10504 ref 1006 ref 187 ref 187 ref 187 ref 10537 remove 10539 ref appTerm 10541 def appTerm 10496 remove appTerm appTerm 10498 ref appTerm 10542 def appTerm 10500 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 10540 remove nil cons cons 10515 ref 1006 ref 10542 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans trans sym 1131 ref nil 10506 ref 1003 ref 10509 remove cons 10543 def 1006 ref 10541 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 10499 remove nil cons cons 1003 ref 10539 ref nil cons 10544 def cons 1006 ref 10536 remove nil cons cons nil cons 10545 def cons cons nil cons cons 1169 ref subst trans 1368 ref 3190 ref 10530 remove 9445 ref appThm appThm appThm 10546 def 1368 ref 4254 ref 3190 ref 10532 remove 9445 ref appThm appThm appThm 2100 ref appThm 10547 def appThm 10511 ref 10514 remove appThm appThm appThm trans appThm nil 1116 ref 10544 remove cons 10516 ref 1006 ref 10538 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 10498 ref appTerm 10548 def 10539 remove appTerm nil cons cons 10543 remove 10545 remove cons cons nil cons cons 1169 ref subst trans 10546 remove 10511 remove 10517 ref 10547 remove appThm appThm appThm trans appThm nil 1116 ref 10225 remove 10236 ref 10178 remove appTerm appTerm 10549 def nil cons cons 1003 ref 10179 remove 10494 remove appTerm nil cons cons 10209 remove cons cons nil cons cons 1192 ref subst trans sym 1131 ref nil 1003 ref 10495 remove cons 10389 remove cons nil cons cons 1210 ref subst appThm 10549 remove refl appThm sym nil 1116 ref 10388 remove cons 10491 remove cons nil cons cons 1169 ref subst eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 10381 ref nil cons cons 475 ref 10385 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 10381 remove appTerm nil cons cons 400 ref 10380 remove 10258 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1876 ref 10258 remove nil cons cons 10550 def 475 ref 10379 remove nil cons cons nil cons cons nil cons cons 4829 ref subst eqMp eqMp eqMp eqMp nil 435 ref 10372 remove cons 437 ref 10351 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 10262 ref nil cons cons 475 ref 10269 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 10262 remove appTerm nil cons cons 400 ref 10259 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 10550 remove 475 ref 10252 remove nil cons cons nil cons cons nil cons cons 4829 remove subst eqMp eqMp proveHyp eqMp proveHyp eqMp proveHyp proveHyp proveHyp proveHyp eqMp eqMp proveHyp eqMp proveHyp eqMp proveHyp eqMp proveHyp 129 ref "_47996" 14 ref var 10551 def 41 ref 180 ref 9784 ref 10551 remove varTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10552 def 9945 ref appTerm 10553 def appTerm refl 10552 ref 9998 ref appTerm betaConv appThm 439 ref 10553 remove betaConv appThm 41 ref 180 ref 9784 remove 9998 ref appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 10552 remove refl 180 ref 9945 remove appTerm 9998 ref appTerm assume appThm eqMp sym nil 9771 remove 2661 ref 2662 ref 5074 ref appTerm 2662 ref 2663 ref 5076 ref appTerm 10554 def appTerm 2663 ref 5077 ref appTerm 10555 def appTerm 10556 def appTerm 10557 def nil cons cons nil cons cons nil cons cons 2684 ref subst 5073 ref refl 5303 remove assume appThm 10557 ref refl appThm trans sym 180 ref 5282 ref appTerm 10558 def refl 10559 def 10026 remove appThm nil 9504 remove nil cons cons 1281 ref subst 10560 def trans sym 154 ref eqMp 129 ref "_48030" 14 ref var 10561 def 5073 ref 10561 remove varTerm appTerm 10557 ref appTerm absTerm 10562 def 5282 ref appTerm 10563 def appTerm refl 10562 ref 187 ref 5287 ref appTerm 10564 def 4193 ref appTerm 10565 def appTerm betaConv appThm 439 ref 10563 remove betaConv appThm 5073 remove 10565 ref appTerm 10557 ref appTerm 10566 def refl appThm trans 10562 remove refl 10558 remove 10565 ref appTerm assume appThm eqMp sym 625 ref nil 150 ref 7235 remove cons nil cons nil cons cons 155 ref subst 5323 remove assume 10567 def eqMp appThm 5072 ref refl nil 9819 ref nil cons nil cons cons 1264 ref subst appThm 4197 ref appThm 10556 ref refl appThm appThm nil 150 ref 5072 ref 5287 ref appTerm 10568 def 4193 ref appTerm 10556 ref appTerm nil cons 10569 def cons nil cons nil cons cons 633 ref subst trans sym 625 ref nil 2690 ref 5076 ref nil cons 10570 def cons 10571 def 707 ref 9818 ref cons 9772 ref cons cons nil cons cons 2711 ref subst nil 150 ref 7237 remove cons nil cons nil cons cons 155 ref subst 5325 remove assume eqMp trans appThm nil 2690 ref 5077 ref nil cons 10572 def cons 10573 def 707 ref 10564 ref 192 ref appTerm 10574 def nil cons 10575 def cons 9772 ref cons cons nil cons cons 2711 ref subst 5075 remove refl 9825 ref appThm 5077 ref refl appThm nil 150 ref 7239 remove cons nil cons nil cons cons 155 ref subst 5326 remove assume eqMp trans trans appThm 634 ref trans sym 154 ref eqMp nil 399 ref 42 ref 10568 remove 192 ref appTerm 10554 ref appTerm appTerm 5072 ref 10574 ref appTerm 192 ref appTerm 10555 ref appTerm appTerm nil cons cons 400 ref 10569 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 10555 remove nil cons 10576 def cons 2661 ref 10554 remove nil cons 10577 def cons 1237 ref 2719 ref 695 ref 9818 ref cons 9772 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 5324 remove 5072 ref 1259 ref 5287 ref appTerm appTerm 4193 ref appTerm 10556 ref appTerm appTerm nil cons cons 400 ref 10566 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 10556 remove nil cons 10578 def cons 2661 ref 5074 ref nil cons 10579 def cons 10580 def 4207 ref 1006 ref 9818 remove cons 10581 def 2720 ref 9772 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 129 ref "_48028" 8 ref var 10582 def 41 ref 180 ref 187 ref 2800 ref 726 ref 728 ref 10582 remove varTerm appTerm 6952 ref appTerm appTerm appTerm 4991 ref appTerm appTerm 9998 ref appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10583 def 5006 ref appTerm 10584 def appTerm refl 10583 ref 10557 ref appTerm betaConv appThm 439 ref 10584 remove betaConv appThm 41 ref 180 ref 187 ref 2800 ref 726 ref 728 ref 10557 ref appTerm 6952 ref appTerm appTerm appTerm 4991 ref appTerm appTerm 9998 remove appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 10583 remove refl 2666 ref 10557 remove appTerm 5006 ref appTerm assume sym appThm eqMp sym 165 ref 1131 ref 1368 ref 4254 ref nil 9692 ref 2661 ref 10578 remove cons 470 ref 10579 remove cons nil cons 10585 def cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5074 ref appTerm 10586 def 6952 ref appTerm appTerm 10587 def appTerm 10588 def refl 4254 ref nil 9692 ref 2661 ref 10576 remove cons 470 ref 10577 remove cons nil cons cons cons nil cons cons 2813 ref subst 1368 ref nil 9692 ref 10571 remove nil cons 10589 def cons nil cons cons 2849 ref subst appThm 4254 ref nil 9692 ref 10573 remove nil cons cons nil cons cons 2849 ref subst appThm nil 10589 remove nil cons cons 2853 ref subst appThm appThm trans appThm 181 ref 5074 ref appTerm 10590 def refl appThm nil 695 ref 10590 ref nil cons 10591 def cons 4223 ref 2800 ref 2828 ref 44 ref 5077 ref appTerm 10592 def 6952 ref appTerm 10593 def appTerm 10594 def appTerm 10595 def 192 ref appTerm nil cons cons 4224 ref 2828 ref 44 ref 5076 ref appTerm 10596 def 6952 ref appTerm appTerm 10597 def nil cons 10598 def cons nil cons 10599 def cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 10597 ref appTerm 10600 def 10590 ref appTerm 10601 def appTerm 10602 def refl nil 4256 ref 10591 ref cons 4258 ref 1003 ref 10594 ref nil cons 10603 def cons nil cons 10604 def cons cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm 9555 ref appThm nil 9566 ref 4223 ref 10602 remove 10595 ref 2714 ref 10590 ref appTerm 10605 def appTerm 10606 def appTerm nil cons cons 4224 ref 10587 ref nil cons cons nil cons 10607 def cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 10587 remove appTerm 4991 ref appTerm 10608 def appTerm 10609 def refl 10610 def nil 9566 ref 4223 ref 10606 remove nil cons cons 4224 ref 10601 remove nil cons cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref nil 9569 ref 4257 ref 10591 ref cons 1003 ref 10598 remove cons nil cons cons cons nil cons cons 4281 ref subst appThm nil 9569 ref 4257 ref 10605 ref nil cons cons 10604 remove cons cons nil cons cons 4281 ref subst appThm trans appThm trans trans appThm 9995 ref refl nil 1003 ref 9996 ref nil cons cons nil cons nil cons cons 4221 ref subst appThm appThm appThm 9230 ref appThm appThm 9557 ref appThm sym 470 ref 167 ref 695 ref 2721 ref 5287 ref appTerm 10611 def 5074 ref appTerm absTerm appTerm absTerm 10612 def 5006 remove appTerm betaConv sym 695 ref 5072 remove 710 ref appTerm 5287 ref appTerm 5074 ref appTerm absTerm 10613 def 191 ref appTerm betaConv sym 10567 remove eqMp 162 ref 160 ref 10613 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 10612 ref nil cons cons 9772 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 10612 remove appTerm nil cons cons 400 ref 180 ref 10590 ref appTerm 5287 ref appTerm 10614 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 9819 ref 10580 remove nil cons cons nil cons cons 3819 ref subst eqMp 165 ref 1131 ref nil 1116 ref 9995 remove 2800 ref 9996 remove appTerm 192 ref appTerm 10615 def appTerm 10616 def nil cons cons 10617 def 1003 ref 187 ref 10600 ref 187 ref 10590 remove appTerm 4991 ref appTerm appTerm 10618 def appTerm 10595 ref 187 ref 10605 remove appTerm 4991 ref appTerm appTerm 10619 def appTerm nil cons cons 1006 ref 10608 remove nil cons cons nil cons 10620 def cons cons nil cons cons 1169 ref subst 10610 ref nil 10617 remove 1003 ref 10619 remove nil cons cons 1006 ref 10618 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst 1368 ref 10600 ref refl 1368 ref 10614 remove assume appThm 9555 ref appThm nil 9571 ref 9822 ref cons nil cons cons 10621 def 1169 ref subst 10622 def trans 10623 def appThm appThm 1368 ref 10595 ref refl nil 9571 remove 1003 ref 10591 remove cons 4159 ref cons cons nil cons cons 1169 ref subst 4544 ref 10623 remove appThm trans appThm appThm 10616 remove refl appThm appThm trans appThm trans appThm 9230 ref appThm appThm 9557 ref appThm sym nil 10018 remove 2661 ref 2662 ref 5090 ref appTerm 2662 ref 5095 ref appTerm 10020 ref appTerm 10624 def appTerm 10625 def nil cons cons nil cons cons nil cons cons 2684 ref subst 10023 remove 10625 ref refl appThm trans sym 10025 ref nil 1116 ref 10575 ref cons 10626 def 1003 ref 9582 remove cons 1227 ref cons 10627 def cons nil cons cons 1169 ref subst 1229 ref nil 10626 remove 1237 ref 1233 ref cons 10628 def cons nil cons cons 1169 ref subst 1235 ref 4544 ref 9825 ref appThm appThm 10629 def trans appThm trans appThm nil 1116 ref 701 ref 2714 ref 5275 ref appTerm 10630 def appTerm nil cons cons 1003 ref 5283 remove nil cons 10631 def cons 1227 ref cons 10632 def cons nil cons cons 1192 ref subst nil 1116 ref 10630 remove nil cons cons 9488 remove 1233 ref cons 10633 def cons nil cons cons 1192 ref subst trans 10634 def trans sym 10559 ref nil 6622 remove 4159 ref cons nil cons cons 1210 ref subst appThm sym 10559 remove 10241 remove appThm 10560 remove trans sym 154 ref eqMp eqMp 10635 def eqMp 10636 def 129 ref "_48034" 14 ref var 10637 def 5089 ref 10637 remove varTerm appTerm 10625 ref appTerm absTerm 10638 def 5284 ref appTerm 10639 def appTerm refl 10638 ref 187 ref 4991 ref appTerm 10640 def 10574 ref appTerm 10641 def appTerm betaConv appThm 439 ref 10639 remove betaConv appThm 5089 remove 10641 ref appTerm 10625 ref appTerm 10642 def refl appThm trans 10638 remove refl 10024 ref 10641 ref appTerm assume 10643 def appThm eqMp sym 625 ref nil 150 ref 7249 remove cons nil cons nil cons cons 155 ref subst 5091 remove assume 10644 def eqMp appThm 10038 remove nil 1003 ref 9565 ref cons 10645 def nil cons nil cons cons 1264 ref subst 10646 def appThm 10574 ref refl 10647 def appThm 10624 ref refl appThm appThm nil 150 ref 5094 remove 10574 ref appTerm 10624 ref appTerm nil cons 10648 def cons nil cons nil cons cons 633 ref subst trans sym 625 ref nil 150 ref 7253 remove cons nil cons nil cons cons 155 ref subst 5333 remove assume 10649 def eqMp appThm nil 10045 remove 707 ref 10640 remove 5287 ref appTerm 10650 def nil cons cons 10651 def 10043 ref cons cons nil cons cons 2711 ref subst 10047 remove nil 10285 ref 10627 ref cons nil cons cons 1169 ref subst 1229 ref nil 10285 ref 10628 ref cons nil cons cons 1169 ref subst appThm trans 10652 def appThm 10048 remove appThm trans appThm nil 150 ref 5096 ref 700 ref 701 ref 2714 ref 5287 ref appTerm 10653 def appTerm 10654 def appTerm 10655 def appTerm 5098 ref appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym nil 1116 ref 6609 remove cons 1003 ref 10654 remove nil cons cons 1227 ref cons cons nil cons cons 1192 ref subst nil 10291 remove 1003 ref 10653 ref nil cons 10656 def cons 1233 ref cons cons nil cons cons 1192 ref subst trans 10657 def sym 1131 ref nil 9819 ref 4159 ref cons 10658 def nil cons cons 1210 ref subst appThm 5275 remove refl appThm sym 9825 remove eqMp 10659 def eqMp 10660 def 129 ref "_48036" 14 ref var 10661 def 5096 remove 10661 remove varTerm appTerm 5098 ref appTerm absTerm 10662 def 10655 ref appTerm 10663 def appTerm refl 10662 ref 5277 ref appTerm betaConv appThm 439 ref 10663 remove betaConv appThm 5336 remove refl appThm trans 10662 remove refl 180 ref 10655 ref appTerm 5277 ref appTerm assume 10664 def appThm eqMp sym 10049 remove eqMp proveHyp eqMp nil 399 ref 5334 remove 5088 ref 10650 ref appTerm 192 ref appTerm 10020 remove appTerm appTerm nil cons cons 400 ref 10648 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 10051 remove 2661 ref 5095 ref nil cons 10665 def cons 10666 def 1237 ref 10581 ref 9566 ref 10043 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 5092 remove 5088 remove 1259 ref 4991 ref appTerm 10667 def appTerm 10574 ref appTerm 10624 ref appTerm appTerm nil cons cons 400 ref 10642 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 10624 remove nil cons 10668 def cons 2661 ref 5090 ref nil cons 10669 def cons 10670 def 1003 ref 10575 remove cons 10671 def 1006 ref 9565 ref cons 10672 def 10056 remove cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 129 ref "_48032" 8 ref var 10673 def 41 ref 180 ref 10609 ref 187 ref 10600 ref 5274 ref 2714 ref 4991 ref appTerm 10674 def appTerm 10675 def appTerm appTerm 10676 def 187 ref 10595 ref 2714 ref 10675 ref appTerm appTerm appTerm 10677 def 187 ref 726 ref 728 ref 10673 remove varTerm appTerm 6952 ref appTerm appTerm appTerm 10615 ref appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10678 def 5012 ref appTerm 10679 def appTerm refl 10678 ref 10625 ref appTerm betaConv appThm 439 ref 10679 remove betaConv appThm 41 ref 180 ref 10609 ref 10676 ref 10677 ref 187 ref 726 ref 728 ref 10625 ref appTerm 6952 ref appTerm appTerm appTerm 10615 ref appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 10678 remove refl 2666 ref 10625 remove appTerm 5012 ref appTerm assume sym appThm eqMp sym 165 ref 1131 ref 10610 ref 10676 ref refl 10680 def 10677 ref refl 10681 def 1368 ref nil 9692 ref 2661 ref 10668 remove cons 470 ref 10669 remove cons nil cons 10682 def cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5090 ref appTerm 10683 def 6952 ref appTerm 10684 def appTerm 10685 def appTerm 10686 def refl 10687 def 4254 ref nil 9692 ref 10136 remove 470 ref 10665 remove cons nil cons 10688 def cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5095 ref appTerm 10689 def 6952 ref appTerm appTerm 10690 def appTerm 10691 def refl 10138 remove 181 ref 5095 ref appTerm 10692 def refl appThm appThm trans appThm 181 ref 5090 ref appTerm 10693 def refl appThm nil 695 ref 10693 ref nil cons 10694 def cons 4223 ref 10144 ref 10692 ref appTerm nil cons cons 4224 ref 10690 ref nil cons cons nil cons 10695 def cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 10690 remove appTerm 10696 def 10693 ref appTerm appTerm refl nil 4256 ref 10694 remove cons 4257 ref 10692 ref nil cons cons 10152 remove cons cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm 10615 ref refl 10697 def appThm appThm appThm appThm appThm 9230 ref appThm appThm 9557 ref appThm sym 470 ref 167 ref 695 ref 2721 remove 4991 ref appTerm 10698 def 5090 ref appTerm absTerm appTerm absTerm 10699 def 5012 ref appTerm betaConv sym 695 ref 10190 ref 4991 ref appTerm 5090 ref appTerm absTerm 10700 def 191 ref appTerm betaConv sym 10644 remove eqMp 162 ref 160 ref 10700 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 10699 ref nil cons cons 10043 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 10699 remove appTerm nil cons cons 400 ref 180 ref 10693 ref appTerm 4991 ref appTerm 10701 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 10645 ref 10670 remove nil cons cons nil cons cons 3819 ref subst eqMp 129 ref "_48038" 14 ref var 10702 def 41 ref 180 ref 10609 ref 10676 ref 10677 ref 187 ref 10686 ref 187 ref 10696 ref 10702 remove varTerm 10703 def appTerm appTerm 10144 ref 187 ref 10692 ref appTerm 10704 def 10703 remove appTerm appTerm appTerm appTerm appTerm 10615 ref appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10705 def 10693 remove appTerm 10706 def appTerm refl 10705 ref 4991 ref appTerm betaConv appThm 439 ref 10706 remove betaConv appThm 41 ref 180 ref 10609 ref 10676 ref 10677 ref 187 ref 10686 ref 187 ref 10696 remove 4991 ref appTerm 10707 def appTerm 10708 def 10144 ref 10704 remove 4991 ref appTerm appTerm appTerm appTerm appTerm 10615 ref appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 10705 remove refl 10701 remove assume appThm eqMp sym 470 ref 167 ref 695 ref 10611 ref 5095 ref appTerm absTerm appTerm absTerm 10709 def 5012 remove appTerm betaConv sym 695 ref 10190 remove 5287 ref appTerm 5095 ref appTerm absTerm 10710 def 4991 ref appTerm betaConv sym 10649 remove eqMp 162 ref 160 ref 10710 remove nil cons cons 475 ref 9565 remove cons nil cons 10711 def cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 10709 ref nil cons cons 10043 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 10709 remove appTerm nil cons cons 400 ref 180 ref 10692 ref appTerm 5287 ref appTerm 10712 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 9819 ref 10666 remove nil cons cons nil cons cons 3819 ref subst eqMp 129 ref "_48040" 14 ref var 10713 def 41 ref 180 ref 10609 ref 10676 ref 10677 ref 187 ref 10686 ref 10708 ref 10144 ref 187 ref 10713 remove varTerm appTerm 4991 ref appTerm appTerm appTerm appTerm appTerm 10615 ref appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10714 def 10692 remove appTerm 10715 def appTerm refl 10714 ref 5287 ref appTerm betaConv appThm 439 ref 10715 remove betaConv appThm 41 ref 180 ref 10609 ref 10676 ref 10677 ref 187 ref 10686 ref 10708 ref 10144 ref 10564 ref 4991 ref appTerm 10716 def appTerm 10717 def appTerm 10718 def appTerm appTerm 10615 ref appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 10714 remove refl 10712 remove assume appThm eqMp sym 165 ref 1131 ref 10610 ref 10680 ref 10681 ref nil 1116 ref 10615 remove nil cons cons 10719 def 1003 ref 10718 remove nil cons cons 1006 ref 10685 ref nil cons 10720 def cons nil cons 10721 def cons cons nil cons cons 1169 ref subst 10687 ref nil 10719 remove 1003 ref 10717 remove nil cons cons 1006 ref 10707 ref nil cons 10722 def cons nil cons 10723 def cons cons nil cons cons 1169 ref subst 10708 ref refl 10724 def 1368 ref 10211 remove 10622 ref appThm appThm 10697 remove appThm appThm trans appThm trans appThm appThm appThm appThm 9230 ref appThm appThm 9557 ref appThm sym nil 10061 remove 2661 ref 2662 ref 5101 ref appTerm 2662 ref 5106 ref appTerm 10064 ref appTerm 10725 def appTerm 10726 def nil cons cons nil cons cons nil cons cons 2684 ref subst 10066 remove 10726 ref refl appThm trans sym 10025 ref nil 1116 ref 10565 ref nil cons 10727 def cons 8334 ref cons nil cons cons 1169 ref subst 1229 ref 10027 remove appThm trans appThm 10029 remove trans sym 154 ref eqMp 129 ref "_48044" 14 ref var 10728 def 5100 ref 10728 remove varTerm appTerm 10726 ref appTerm absTerm 10729 def 5284 ref appTerm 10730 def appTerm refl 10729 ref 8880 ref 10565 ref appTerm 10731 def appTerm betaConv appThm 439 ref 10730 remove betaConv appThm 5100 remove 10731 ref appTerm 10726 ref appTerm 10732 def refl appThm trans 10729 remove refl 10024 ref 10731 remove appTerm assume appThm eqMp sym 625 ref nil 150 ref 7259 remove cons nil cons nil cons cons 155 ref subst 5102 remove assume 10733 def eqMp appThm 10072 ref 9680 ref appThm 10565 ref refl appThm 10725 ref refl appThm appThm nil 150 ref 5105 remove 10565 ref appTerm 10725 ref appTerm nil cons 10734 def cons nil cons nil cons cons 633 ref subst trans sym 625 ref nil 150 ref 7263 remove cons nil cons nil cons cons 155 ref subst 5339 remove assume 10735 def eqMp appThm 10072 remove 10328 remove appThm 4197 remove appThm 10073 remove appThm appThm 10076 remove trans sym 10084 remove eqMp nil 399 ref 5340 remove 5099 ref 8880 ref 5287 ref appTerm appTerm 4193 ref appTerm 10064 remove appTerm appTerm nil cons cons 400 ref 10734 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 10086 remove 2661 ref 5106 ref nil cons 10736 def cons 10737 def 4207 remove 10581 ref 9225 ref 10079 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 5103 remove 5099 remove 9681 ref appTerm 10565 remove appTerm 10725 ref appTerm appTerm nil cons cons 400 ref 10732 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 10725 remove nil cons 10738 def cons 2661 ref 5101 ref nil cons 10739 def cons 10740 def 1003 ref 10727 remove cons 8793 ref 10089 remove cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 129 ref "_48042" 8 ref var 10741 def 41 ref 180 ref 10609 ref 10676 ref 10677 ref 10686 ref 10708 ref 187 ref 10144 ref 10675 ref appTerm appTerm 10742 def 2800 ref 726 ref 728 ref 10741 remove varTerm appTerm 6952 ref appTerm appTerm appTerm 192 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10743 def 5014 ref appTerm 10744 def appTerm refl 10743 ref 10726 ref appTerm betaConv appThm 439 ref 10744 remove betaConv appThm 41 ref 180 ref 10609 ref 10676 ref 10677 ref 10686 ref 10708 ref 10742 ref 2800 ref 726 ref 728 ref 10726 ref appTerm 6952 ref appTerm appTerm appTerm 192 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 10743 remove refl 2666 ref 10726 remove appTerm 5014 ref appTerm assume sym appThm eqMp sym 165 ref 1131 ref 10610 ref 10680 ref 10681 ref 10687 ref 10724 ref 10742 ref refl 10745 def 4254 ref nil 9692 ref 2661 ref 10738 remove cons 470 ref 10739 remove cons nil cons 10746 def cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5101 ref appTerm 10747 def 6952 ref appTerm 10748 def appTerm 10749 def appTerm refl 4254 ref nil 9692 ref 10153 remove 470 ref 10736 remove cons nil cons 10750 def cons cons nil cons cons 2813 ref subst 187 ref 726 ref 728 ref 5106 ref appTerm 10751 def 6952 ref appTerm appTerm 10752 def appTerm refl 10158 remove 181 ref 5106 ref appTerm 10753 def refl appThm nil 695 ref 10753 ref nil cons 10754 def cons 10168 remove cons nil cons cons 4243 ref subst 187 ref 10169 ref 10753 ref appTerm 10755 def appTerm 10756 def refl nil 4256 ref 10754 ref cons 10174 remove cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm 181 ref 5101 ref appTerm 10757 def refl appThm nil 695 ref 10757 ref nil cons 10758 def cons 10759 def 4223 ref 10756 remove 10164 ref 2714 ref 10753 ref appTerm 10760 def appTerm 10761 def appTerm nil cons cons 4224 ref 10752 ref nil cons 10762 def cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 10752 ref appTerm 10763 def 10757 ref appTerm 10764 def appTerm 10765 def refl nil 10759 remove 4223 ref 10761 remove nil cons cons 4224 ref 10755 remove nil cons cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref nil 4256 ref 10758 ref cons 10766 def 4257 ref 10754 remove cons 10181 ref cons cons nil cons cons 4281 ref subst appThm nil 10766 remove 4257 ref 10760 ref nil cons cons 10173 ref cons cons nil cons cons 4281 ref subst appThm trans appThm trans trans appThm trans appThm 2100 ref appThm nil 4175 ref 4223 ref 10765 remove 187 ref 10169 ref 187 ref 10753 ref appTerm 10767 def 10757 ref appTerm 10768 def appTerm 10769 def appTerm 10164 ref 187 ref 10760 remove appTerm 10770 def 10757 ref appTerm 10771 def appTerm 10772 def appTerm 10773 def appTerm nil cons cons 4224 ref 10749 ref nil cons cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 10749 remove appTerm 192 ref appTerm 10774 def appTerm 10775 def refl 10776 def nil 4175 ref 4223 ref 10773 remove nil cons cons 4224 ref 10764 remove nil cons cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref nil 4294 ref 4257 ref 10758 remove cons 1003 ref 10762 ref cons nil cons cons cons nil cons cons 4281 ref subst appThm nil 4175 ref 4223 ref 10772 remove nil cons cons 4224 ref 10769 remove nil cons cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref nil 4294 ref 4257 ref 10768 remove nil cons cons 10181 remove cons cons nil cons cons 4281 ref subst appThm nil 4294 ref 4257 ref 10771 remove nil cons cons 10173 remove cons cons nil cons cons 4281 ref subst appThm trans appThm trans appThm trans trans appThm appThm appThm appThm appThm appThm appThm 9230 ref appThm appThm 9557 ref appThm sym 470 ref 167 ref 695 ref 8593 ref 5101 ref appTerm absTerm appTerm absTerm 10777 def 5014 ref appTerm betaConv sym 695 ref 10194 ref 5027 ref appTerm 5101 ref appTerm absTerm 10778 def 191 ref appTerm betaConv sym 10733 remove eqMp 162 ref 160 ref 10778 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 10777 ref nil cons cons 10079 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 10777 remove appTerm nil cons cons 400 ref 180 ref 10757 ref appTerm 5027 ref appTerm 10779 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 8332 ref 10740 remove nil cons cons nil cons cons 3819 ref subst eqMp 129 ref "_48046" 14 ref var 10780 def 41 ref 180 ref 10609 ref 10676 ref 10677 ref 10686 ref 10708 ref 10742 ref 10775 ref 187 ref 10763 ref 187 ref 10780 remove varTerm 10781 def appTerm 192 ref appTerm appTerm appTerm 187 ref 10169 ref 187 ref 10767 ref 10781 ref appTerm appTerm 192 ref appTerm appTerm appTerm 10164 ref 187 ref 10770 ref 10781 remove appTerm appTerm 192 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10782 def 10757 remove appTerm 10783 def appTerm refl 10782 ref 5027 ref appTerm betaConv appThm 439 ref 10783 remove betaConv appThm 41 ref 180 ref 10609 ref 10676 ref 10677 ref 10686 ref 10708 ref 10742 ref 10775 ref 187 ref 10763 ref 9635 ref appTerm appTerm 10784 def 187 ref 10169 ref 187 ref 10767 remove 5027 ref appTerm appTerm 192 ref appTerm appTerm appTerm 10164 ref 187 ref 10770 remove 5027 ref appTerm appTerm 192 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 10782 remove refl 10779 remove assume appThm eqMp sym 470 ref 167 ref 695 ref 10611 ref 5106 ref appTerm absTerm appTerm absTerm 10785 def 5014 remove appTerm betaConv sym 695 ref 10194 remove 5287 ref appTerm 5106 ref appTerm absTerm 10786 def 5027 ref appTerm betaConv sym 10735 remove eqMp 162 ref 160 ref 10786 remove nil cons cons 8607 remove cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 10785 ref nil cons cons 10079 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 10785 remove appTerm nil cons cons 400 ref 180 ref 10753 ref appTerm 5287 ref appTerm 10787 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 9819 ref 10737 remove nil cons cons nil cons cons 3819 ref subst eqMp 129 ref "_48048" 14 ref var 10788 def 41 ref 180 ref 10609 ref 10676 ref 10677 ref 10686 ref 10708 ref 10742 ref 10775 ref 10784 ref 187 ref 10169 ref 187 ref 187 ref 10788 remove varTerm 10789 def appTerm 5027 ref appTerm appTerm 192 ref appTerm appTerm appTerm 10164 ref 187 ref 187 ref 2714 ref 10789 remove appTerm appTerm 5027 ref appTerm appTerm 192 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10790 def 10753 remove appTerm 10791 def appTerm refl 10790 ref 5287 ref appTerm betaConv appThm 439 ref 10791 remove betaConv appThm 41 ref 180 ref 10609 ref 10676 remove 10677 remove 10686 ref 10708 ref 10742 remove 10775 ref 10784 remove 187 ref 10169 ref 187 ref 10564 ref 5027 ref appTerm appTerm 192 ref appTerm appTerm appTerm 10164 ref 187 ref 187 ref 10653 remove appTerm 5027 ref appTerm appTerm 192 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 10790 remove refl 10787 remove assume appThm eqMp sym 165 ref 1131 ref 10610 ref 10680 remove 10681 remove 10687 ref 10724 ref 10745 remove 10776 ref 1368 ref 10763 ref refl 9480 ref appThm appThm 1368 ref 10212 remove nil 2073 ref 8332 ref 10581 ref nil cons 10792 def cons cons nil cons cons 1169 ref subst nil 1116 ref 9635 ref nil cons 10793 def cons 10794 def 9822 ref cons nil cons cons 1169 ref subst 10795 def trans 6578 ref 4544 ref 9480 ref appThm 10796 def appThm 10797 def trans appThm appThm 10214 remove nil 2073 ref 8332 ref 1006 ref 10656 ref cons nil cons cons cons nil cons cons 1169 ref subst nil 10794 remove 10658 remove cons nil cons cons 1169 ref subst trans 4544 ref 10795 remove 10797 remove trans appThm trans appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm 9230 ref appThm appThm 9557 ref appThm sym 1131 ref 10621 remove 2078 ref subst nil 10645 ref 10792 ref cons nil cons cons 1210 ref subst trans appThm 10215 ref appThm sym 1131 ref 10652 ref appThm 10215 ref appThm 10657 remove trans sym 10659 remove eqMp eqMp 10798 def 129 ref "_48050" 14 ref var 10799 def 41 ref 180 ref 10609 ref 187 ref 10600 ref 10799 remove varTerm 10800 def appTerm appTerm 187 ref 10595 ref 2714 ref 10800 ref appTerm 10801 def appTerm appTerm 10686 ref 10708 ref 187 ref 10144 remove 10800 ref appTerm appTerm 10775 ref 187 ref 10763 remove 4991 ref appTerm 10802 def appTerm 10803 def 187 ref 10169 remove 10800 remove appTerm appTerm 10164 ref 10801 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10804 def 10675 ref appTerm 10805 def appTerm refl 10804 ref 5277 ref appTerm betaConv appThm 439 ref 10805 remove betaConv appThm 41 ref 180 ref 10609 ref 187 ref 10600 remove 5277 ref appTerm 10806 def appTerm 10807 def 187 ref 10595 ref 10228 ref appTerm appTerm 10686 ref 10708 ref 10236 ref 10775 ref 10803 ref 10229 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 10804 remove refl 180 ref 10675 ref appTerm 5277 ref appTerm assume 10808 def appThm eqMp sym 10243 remove 129 ref "_48052" 14 ref var 10809 def 41 ref 180 ref 10609 ref 10807 ref 187 ref 10595 ref 10809 remove varTerm 10810 def appTerm appTerm 10686 ref 10708 ref 10236 ref 10775 ref 10803 ref 10227 ref 10164 remove 10810 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10811 def 10228 remove appTerm 10812 def appTerm refl 10811 ref 5284 ref appTerm betaConv appThm 439 ref 10812 remove betaConv appThm 41 ref 180 ref 10609 ref 10807 ref 187 ref 10595 remove 5284 ref appTerm 10813 def appTerm 10814 def 10686 ref 10708 ref 10236 ref 10775 ref 10803 ref 10255 remove appTerm 10815 def appTerm 10816 def appTerm 10817 def appTerm 10818 def appTerm 10819 def appTerm 10820 def appTerm appTerm 10821 def appTerm 10822 def 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 10811 remove refl 10260 remove appThm eqMp sym 1131 ref nil 1116 ref 10820 remove nil cons cons 1003 ref 10806 ref nil cons 10823 def cons 10620 ref cons cons nil cons cons 2078 ref subst nil 1116 ref 10819 remove nil cons cons 1003 ref 10813 ref nil cons 10824 def cons 10825 def 1006 ref 10609 ref 10806 remove appTerm 10826 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 10818 remove nil cons cons 1003 ref 10720 remove cons 1006 ref 187 ref 10826 remove appTerm 10813 ref appTerm 10827 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 10817 remove nil cons cons 1003 ref 10722 remove cons 1006 ref 187 ref 10827 remove appTerm 10685 remove appTerm 10828 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 10816 remove nil cons cons 10477 remove 1006 ref 187 ref 10828 remove appTerm 10707 remove appTerm 10829 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 10815 remove nil cons cons 1003 ref 10774 ref nil cons 10830 def cons 10831 def 1006 ref 187 ref 10829 remove appTerm 10235 remove appTerm 10832 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 10488 remove 1003 ref 10802 ref nil cons 10833 def cons 10834 def 1006 ref 187 ref 10832 remove appTerm 10774 ref appTerm 10835 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 10475 remove 10493 ref 1006 ref 187 ref 10835 remove appTerm 10802 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans trans trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 4254 ref 3190 ref 10586 ref refl 10836 def 9388 ref appThm appThm appThm 9618 ref appThm appThm 10837 def 4254 ref 4005 ref 10596 ref refl 10838 def 9388 ref appThm appThm appThm 10294 ref appThm 10839 def appThm appThm 4254 ref 4005 ref 10592 ref refl 10840 def 9388 ref appThm 10841 def appThm appThm 10297 ref appThm 10842 def appThm appThm 3190 ref 10683 ref refl 10843 def 9388 ref appThm appThm 10844 def appThm appThm 4254 ref 3190 ref 10689 ref refl 10845 def 9388 ref appThm appThm appThm 9618 ref appThm 10846 def appThm appThm 10484 ref appThm appThm 4254 ref 3190 ref 10747 ref refl 10847 def 9388 ref appThm appThm appThm 2100 ref appThm 10848 def appThm appThm 4254 ref 3190 ref 10751 ref refl 10849 def 9388 ref appThm appThm appThm 9618 ref appThm 10850 def appThm appThm 10482 ref appThm appThm 10487 ref appThm trans appThm nil 1116 ref 187 ref 2800 ref 10588 remove 10691 remove 10752 remove appTerm 10851 def appTerm 10852 def appTerm 4991 ref appTerm 10853 def appTerm 187 ref 2800 ref 187 ref 10597 remove appTerm 187 ref 10143 remove appTerm 10166 remove appTerm 10854 def appTerm 10855 def appTerm 5277 ref appTerm 10856 def appTerm 2800 ref 187 ref 10594 remove appTerm 10857 def 10163 ref appTerm appTerm 5284 ref appTerm 10858 def appTerm 10859 def appTerm 10860 def nil cons cons 10831 ref 10721 ref cons 10861 def cons nil cons cons 2078 ref subst nil 1116 ref 10859 ref nil cons cons 1003 ref 10853 ref nil cons cons 1006 ref 10686 ref 10774 ref appTerm 10862 def nil cons 10863 def cons nil cons 10864 def cons cons nil cons cons 2078 ref subst nil 1116 ref 10858 ref nil cons cons 1003 ref 10856 remove nil cons cons 1006 ref 187 ref 10862 ref appTerm 10853 remove appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans 1368 ref 1368 ref 1368 ref 1368 ref 10844 remove appThm 10848 remove appThm appThm nil 9566 ref 4223 ref 10851 remove nil cons cons 10607 remove cons cons nil cons cons 4243 ref subst 10837 remove nil 9566 ref 4223 ref 10762 remove cons 10695 remove cons cons nil cons cons 4243 ref subst 1368 ref 10846 remove appThm 10850 remove appThm trans appThm nil 1116 ref 2800 ref 726 ref 10751 ref 9423 ref appTerm appTerm appTerm 9635 ref appTerm 10865 def nil cons 10866 def cons 10867 def 1003 ref 2800 ref 726 ref 10689 ref 9423 ref appTerm appTerm appTerm 9635 ref appTerm 10868 def nil cons 10869 def cons 10870 def 1006 ref 2800 ref 726 ref 10586 ref 9423 ref appTerm appTerm appTerm 9635 ref appTerm 10871 def nil cons 10872 def cons nil cons 10873 def cons cons nil cons cons 2078 ref subst trans trans appThm nil 10867 remove 1003 ref 187 ref 10871 ref appTerm 10874 def 10868 ref appTerm nil cons cons 1006 ref 187 ref 726 ref 10683 ref 9423 ref appTerm appTerm 10875 def appTerm 10876 def 2800 ref 726 ref 10747 ref 9423 ref appTerm appTerm appTerm 192 ref appTerm 10877 def appTerm 10878 def nil cons cons nil cons 10879 def cons cons nil cons cons 2078 ref subst 1368 ref nil 1116 ref 10869 remove cons 1003 ref 10872 remove cons 10879 remove cons 10880 def cons nil cons cons 2078 ref subst appThm 10865 ref refl appThm trans trans appThm nil 695 ref 9827 ref cons 10881 def 4223 ref 10854 remove nil cons cons 10599 remove cons cons nil cons cons 4243 ref subst 1368 ref 10839 remove appThm nil 10881 ref 4223 ref 10167 remove cons 4224 ref 10151 remove cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref 10484 remove appThm 10482 remove appThm trans appThm nil 10515 ref 10516 ref 1006 ref 2800 ref 2828 ref 10596 ref 9423 ref appTerm appTerm appTerm 10312 ref appTerm 10882 def nil cons 10883 def cons nil cons cons cons nil cons cons 2078 ref subst trans trans appThm nil 10515 ref 1003 ref 187 ref 10882 ref appTerm 10884 def 10498 ref appTerm nil cons cons 1006 ref 187 ref 187 ref 187 ref 10878 remove appTerm 10871 remove appTerm 10885 def appTerm 10868 ref appTerm 10886 def appTerm 10865 ref appTerm 10887 def nil cons cons nil cons 10888 def cons cons nil cons cons 2078 ref subst 1368 ref nil 10506 remove 1003 ref 10883 remove cons 10889 def 10888 remove cons 10890 def cons nil cons cons 2078 ref subst appThm 10500 ref refl appThm trans trans appThm nil 695 ref 10028 ref cons 10891 def 4223 ref 10172 ref cons 4224 ref 10603 remove cons nil cons 10892 def cons cons nil cons cons 4243 ref subst 10893 def 1368 ref 10842 ref appThm 10487 ref appThm 10894 def trans appThm nil 10504 ref 1003 ref 2800 ref 2828 ref 10592 ref 9423 ref appTerm 10895 def appTerm appTerm 9590 ref appTerm 10896 def nil cons 10897 def cons 10898 def 1006 ref 187 ref 187 ref 187 ref 10887 remove appTerm 10882 ref appTerm 10899 def appTerm 10498 ref appTerm 10900 def appTerm 10500 ref appTerm 10901 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans appThm nil 1003 ref 187 ref 10901 remove appTerm 10896 ref appTerm nil cons cons 10504 ref 1006 ref 187 ref 187 ref 187 ref 187 ref 187 ref 187 ref 187 ref 10874 ref 10882 remove appTerm 10902 def appTerm 10896 ref appTerm 10903 def appTerm 10875 ref appTerm 10904 def appTerm 10868 ref appTerm 10905 def appTerm 10498 remove appTerm 10906 def appTerm 10877 ref appTerm 10907 def appTerm 10865 ref appTerm appTerm 10500 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans sym 1131 ref nil 10515 remove 1003 ref 10866 remove cons 10908 def 1006 ref 10907 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 10865 remove appTerm 10909 def 10500 ref appTerm 10910 def nil cons cons 1003 ref 10877 ref nil cons cons 10911 def 1006 ref 10906 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 10877 remove appTerm 10910 remove appTerm 10912 def nil cons cons 10516 ref 1006 ref 10905 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 10548 ref 10912 remove appTerm 10913 def nil cons cons 10870 ref 1006 ref 10904 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 10868 remove appTerm 10914 def 10913 remove appTerm 10915 def nil cons cons 1003 ref 10875 remove nil cons 10916 def cons 1006 ref 10903 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 10876 remove 10915 remove appTerm 10917 def nil cons cons 10898 ref 1006 ref 10902 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 10896 ref appTerm 10918 def 10917 remove appTerm nil cons cons 10889 remove 10873 remove cons cons nil cons cons 1169 ref subst trans trans trans trans trans trans 1368 ref 4254 ref 3190 ref 10836 remove 9445 ref appThm appThm appThm 9480 ref appThm appThm 10919 def 1368 ref 4254 ref 4005 ref 10838 remove 9445 ref appThm appThm appThm 10331 ref appThm appThm 10920 def 1368 ref 4254 ref 4005 ref 10840 remove 9445 ref appThm 10921 def appThm appThm 9597 ref appThm 10922 def appThm 10923 def 1368 ref 3190 ref 10843 remove 9445 ref appThm appThm appThm 10924 def 1368 ref 4254 ref 3190 ref 10845 remove 9445 ref appThm appThm appThm 9480 ref appThm appThm 10925 def 10517 ref 1368 ref 4254 ref 3190 ref 10847 remove 9445 ref appThm appThm appThm 2100 ref appThm appThm 10926 def 1368 ref 4254 ref 3190 ref 10849 remove 9445 ref appThm appThm appThm 9480 ref appThm appThm 10927 def 10512 remove appThm appThm appThm appThm appThm appThm appThm appThm trans appThm nil 1116 ref 10897 ref cons 10508 remove 1006 ref 10900 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 10500 remove appTerm 10896 ref appTerm 10928 def nil cons cons 10516 remove 1006 ref 10899 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 10548 remove 10928 remove appTerm 10929 def nil cons cons 10890 remove cons nil cons cons 1169 ref subst nil 1116 ref 10884 remove 10929 remove appTerm 10930 def nil cons cons 10908 remove 1006 ref 10886 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 10909 remove 10930 remove appTerm 10931 def nil cons cons 10870 remove 1006 ref 10885 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 10914 remove 10931 remove appTerm 10932 def nil cons cons 10880 remove cons nil cons cons 1169 ref subst nil 1116 ref 10874 remove 10932 remove appTerm nil cons cons 10911 remove 1006 ref 10916 remove cons nil cons cons cons nil cons cons 1169 ref subst trans trans trans trans trans trans 10924 remove 10926 remove 10919 remove 10925 remove 10927 remove 10920 remove 10517 remove 10513 remove 10922 remove appThm appThm appThm appThm appThm appThm appThm appThm trans appThm sym 180 ref 10609 ref 10807 ref 10814 ref 10686 ref 10708 ref 10236 ref 10775 ref 10803 ref 10226 remove appTerm 10933 def appTerm 10934 def appTerm 10935 def appTerm 10936 def appTerm 10937 def appTerm 10938 def appTerm 10939 def appTerm appTerm refl 10940 def nil 1116 ref 10609 remove 10708 ref 10803 ref 10807 ref 10236 ref 10227 ref 10813 ref appTerm 10941 def appTerm 10942 def appTerm 10943 def appTerm 10944 def appTerm 10945 def appTerm nil cons 10946 def cons 10861 ref cons nil cons cons 2078 ref subst nil 1003 ref 10946 remove cons 10864 remove cons nil cons cons 1210 ref subst trans appThm sym 10940 remove nil 1116 ref 10863 ref cons 10947 def 1003 ref 10945 remove nil cons cons 10620 ref cons cons nil cons cons 1169 ref subst 10610 remove nil 10947 ref 1003 ref 10944 remove nil cons cons 10723 ref cons cons nil cons cons 1169 ref subst 10724 ref nil 10947 ref 1003 ref 10943 remove nil cons cons 1006 ref 10833 ref cons nil cons 10948 def cons cons nil cons cons 1169 ref subst 10803 ref refl 10949 def nil 10947 ref 1003 ref 10942 remove nil cons cons 1006 ref 10823 remove cons nil cons 10950 def cons cons nil cons cons 1169 ref subst 10807 ref refl 10951 def nil 10947 ref 1003 ref 10941 remove nil cons cons 10523 ref cons cons nil cons cons 1169 ref subst 10236 ref refl 10952 def nil 10947 remove 10825 ref 1006 ref 10492 ref cons nil cons 10953 def cons cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm trans appThm nil 1116 ref 10708 ref 10803 ref 10807 remove 10236 ref 10227 ref 10814 ref 10862 remove appTerm 10954 def appTerm 10955 def appTerm 10956 def appTerm 10957 def appTerm appTerm nil cons cons 1003 ref 10939 ref nil cons cons 10620 remove cons cons nil cons cons 1192 ref subst trans sym 180 ref 10939 remove appTerm refl 10958 def nil 1116 ref 10957 remove nil cons 10959 def cons 10834 ref 10723 ref cons 10960 def cons nil cons cons 2078 ref subst nil 1003 ref 10959 remove cons 1006 ref 10708 ref 10802 ref appTerm 10961 def nil cons 10962 def cons nil cons cons nil cons cons 1210 ref subst trans appThm sym 10958 remove nil 1116 ref 10962 ref cons 10963 def 1003 ref 10956 remove nil cons cons 10950 ref cons cons nil cons cons 1169 ref subst 10951 remove nil 10963 ref 1003 ref 10955 remove nil cons cons 10523 ref cons cons nil cons cons 1169 ref subst 10952 ref nil 10963 ref 1003 ref 10954 remove nil cons cons 10953 ref cons cons nil cons cons 1169 ref subst 10227 ref refl nil 10963 ref 1003 ref 10863 remove cons 1006 ref 10824 remove cons nil cons 10964 def cons cons nil cons cons 1169 ref subst 10814 ref refl 10965 def nil 10963 remove 10861 remove cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm nil 1116 ref 10236 ref 10227 ref 10814 ref 10686 ref 10775 ref 10961 remove appTerm 10966 def appTerm 10967 def appTerm 10968 def appTerm appTerm nil cons cons 1003 ref 10938 ref nil cons cons 10950 remove cons cons nil cons cons 1192 ref subst trans sym 180 ref 10938 remove appTerm refl 10969 def nil 1116 ref 10968 remove nil cons 10970 def cons 10524 ref cons nil cons cons 2078 ref subst nil 1003 ref 10970 remove cons 1006 ref 10519 ref cons nil cons cons nil cons cons 1210 ref subst trans appThm sym 10969 remove nil 10520 ref 1003 ref 10967 remove nil cons cons 10964 ref cons cons nil cons cons 1169 ref subst 10965 ref nil 10520 ref 1003 ref 10966 remove nil cons cons 10721 ref cons cons nil cons cons 1169 ref subst 10687 remove nil 10520 ref 1003 ref 10962 remove cons 1006 ref 10830 ref cons nil cons 10971 def cons cons nil cons cons 1169 ref subst 10776 remove nil 10520 remove 10960 remove cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm nil 1116 ref 10686 ref 10775 ref 10708 remove 10803 ref 10518 remove appTerm 10972 def appTerm 10973 def appTerm 10974 def appTerm nil cons cons 1003 ref 10937 remove nil cons cons 10964 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 10974 remove nil cons cons 1003 ref 10936 ref nil cons cons 10721 remove cons cons nil cons cons 1192 ref subst trans trans sym 180 ref 10936 remove appTerm refl 10975 def nil 1003 ref 10973 remove nil cons cons 10971 ref cons nil cons cons 1210 ref subst appThm sym 10975 remove nil 1116 ref 10830 remove cons 10976 def 1003 ref 10972 remove nil cons cons 10723 ref cons cons nil cons cons 1169 ref subst 10724 remove nil 10976 ref 1003 ref 10519 remove cons 10948 ref cons cons nil cons cons 1169 ref subst 10949 remove nil 10976 remove 10524 remove cons nil cons cons 1169 ref subst appThm trans appThm trans appThm nil 1116 ref 10803 remove 10236 remove 10227 ref 10774 remove appTerm 10977 def appTerm 10978 def appTerm nil cons cons 1003 ref 10935 ref nil cons cons 10723 remove cons cons nil cons cons 1192 ref subst trans sym 180 ref 10935 remove appTerm refl 10979 def nil 1003 ref 10978 remove nil cons cons 10948 ref cons nil cons cons 1210 ref subst appThm sym 10979 remove nil 1116 ref 10833 remove cons 10980 def 1003 ref 10977 remove nil cons cons 10523 ref cons cons nil cons cons 1169 ref subst 10952 remove nil 10980 remove 10831 remove 10953 ref cons cons nil cons cons 1169 ref subst appThm trans appThm nil 1116 ref 10227 remove 10775 ref 10802 remove appTerm 10981 def appTerm nil cons cons 1003 ref 10934 ref nil cons cons 10523 remove cons cons nil cons cons 1192 ref subst trans sym 180 ref 10934 remove appTerm refl 10982 def nil 1003 ref 10981 remove nil cons cons 10953 remove cons nil cons cons 1210 ref subst appThm sym 10982 remove nil 1116 ref 10492 ref cons 10983 def 10834 remove 10971 ref cons cons nil cons cons 1169 ref subst appThm nil 1116 ref 10933 remove nil cons 10984 def cons 1003 ref 10984 remove cons 10971 remove cons cons nil cons cons 1192 ref subst nil 10983 remove 10493 remove 10948 remove cons cons nil cons cons 1192 ref subst nil 475 ref 10492 remove cons nil cons nil cons cons 1281 ref subst trans trans trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp 129 ref "_48054" 14 ref var 10985 def 41 ref 180 ref 10985 remove varTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 10986 def 10821 remove appTerm 10987 def appTerm refl 10986 remove 10686 remove 10775 remove 10860 ref appTerm 10988 def appTerm 10989 def appTerm betaConv appThm 439 ref 10987 remove betaConv appThm 41 ref 180 ref 10989 ref appTerm 1009 ref appTerm appTerm 9514 ref appTerm 10990 def refl 10991 def appThm trans 9653 ref 10822 remove 10989 remove appTerm assume appThm eqMp sym 38 ref 41 ref 5162 ref appTerm 10992 def 2206 ref 728 ref 5018 ref appTerm 10993 def 47 ref appTerm appTerm 10683 remove 47 ref appTerm 10994 def appTerm appTerm absTerm 10995 def 6952 ref appTerm 10996 def betaConv 2661 ref 17 ref 38 ref 41 ref 5161 remove 2667 ref appTerm appTerm 9698 ref 10994 remove appTerm appTerm absTerm appTerm absTerm 10997 def 5018 ref appTerm 10998 def betaConv 9701 ref 5090 remove appTerm 10999 def betaConv 9704 ref nil 9705 ref 400 ref 10999 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9706 ref 10682 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 10997 ref appTerm nil cons cons 400 ref 10998 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 10997 remove nil cons cons 470 ref 5018 ref nil cons 11000 def cons nil cons 11001 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 10995 ref appTerm nil cons cons 400 ref 10996 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 10995 remove nil cons cons 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 10992 remove 2206 ref 10993 ref 6952 ref appTerm 11002 def appTerm 10684 ref appTerm 11003 def appTerm nil cons cons 400 ref 10990 remove nil cons 11004 def cons nil cons 11005 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7295 remove cons nil cons nil cons cons 155 ref subst 5162 remove assume eqMp appThm 11003 ref refl appThm nil 150 ref 11003 ref nil cons 11006 def cons nil cons nil cons cons 614 ref subst trans appThm 10991 remove appThm sym nil 399 ref 11006 ref cons 11005 remove cons nil cons cons 11007 def 416 ref subst 11007 remove 467 ref subst 129 ref "_48056" 724 ref var 11008 def 41 ref 180 ref 187 ref 726 ref 11008 remove varTerm appTerm appTerm 10988 ref appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 11009 def 10684 remove appTerm 11010 def appTerm refl 11009 ref 11002 ref appTerm betaConv appThm 439 ref 11010 remove betaConv appThm 41 ref 180 ref 187 ref 726 ref 11002 remove appTerm 11011 def appTerm 11012 def 10988 remove appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm 11013 def refl 11014 def appThm trans 11009 remove refl 11003 remove assume sym appThm eqMp sym 38 ref 41 ref 5164 ref appTerm 11015 def 2206 ref 728 ref 5028 ref appTerm 11016 def 47 ref appTerm appTerm 10747 remove 47 ref appTerm 11017 def appTerm appTerm absTerm 11018 def 6952 ref appTerm 11019 def betaConv 2661 ref 17 ref 38 ref 41 ref 5163 remove 2667 ref appTerm appTerm 9698 ref 11017 remove appTerm appTerm absTerm appTerm absTerm 11020 def 5028 ref appTerm 11021 def betaConv 9701 ref 5101 remove appTerm 11022 def betaConv 9704 ref nil 9705 ref 400 ref 11022 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9706 ref 10746 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 11020 ref appTerm nil cons cons 400 ref 11021 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 11020 remove nil cons cons 470 ref 5028 ref nil cons 11023 def cons nil cons 11024 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 11018 ref appTerm nil cons cons 400 ref 11019 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 11018 remove nil cons cons 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11015 remove 2206 ref 11016 ref 6952 ref appTerm 11025 def appTerm 10748 ref appTerm 11026 def appTerm nil cons cons 400 ref 11013 remove nil cons 11027 def cons nil cons 11028 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7297 remove cons nil cons nil cons cons 155 ref subst 5164 remove assume eqMp appThm 11026 ref refl appThm nil 150 ref 11026 ref nil cons 11029 def cons nil cons nil cons cons 614 ref subst trans appThm 11014 remove appThm sym nil 399 ref 11029 ref cons 11028 remove cons nil cons cons 11030 def 416 ref subst 11030 remove 467 ref subst 129 ref "_48058" 724 ref var 11031 def 41 ref 180 ref 11012 ref 187 ref 2800 ref 726 ref 11031 remove varTerm appTerm appTerm 192 ref appTerm appTerm 10860 ref appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 11032 def 10748 remove appTerm 11033 def appTerm refl 11032 ref 11025 ref appTerm betaConv appThm 439 ref 11033 remove betaConv appThm 41 ref 180 ref 11012 ref 187 ref 2800 ref 726 ref 11025 remove appTerm 11034 def appTerm 192 ref appTerm 11035 def appTerm 11036 def 10860 remove appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm 11037 def refl 11038 def appThm trans 11032 remove refl 11026 remove assume sym appThm eqMp sym 38 ref 41 ref 5172 ref appTerm 11039 def 180 ref 187 ref 726 ref 10586 remove 47 ref appTerm appTerm appTerm 11040 def 187 ref 726 ref 10689 remove 47 ref appTerm appTerm appTerm 11041 def 726 ref 10751 remove 47 ref appTerm appTerm appTerm appTerm appTerm 11042 def 187 ref 726 ref 728 ref 5022 ref appTerm 11043 def 47 ref appTerm appTerm appTerm 11044 def 2196 ref 726 ref 728 ref 5036 ref appTerm 11045 def 47 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11046 def 6952 ref appTerm 11047 def betaConv 2957 ref 17 ref 38 ref 41 ref 5171 remove 2958 ref appTerm appTerm 11042 ref 11044 remove 2959 remove appTerm appTerm appTerm absTerm appTerm absTerm 11048 def 5036 ref appTerm 11049 def betaConv 2962 ref 11 ref 2957 ref 17 ref 38 ref 41 ref 5170 remove 2963 ref appTerm 2958 ref appTerm appTerm 11042 remove 2964 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 11050 def 5022 ref appTerm 11051 def betaConv 2716 ref 11 ref 2962 ref 11 ref 2957 ref 17 ref 38 ref 41 ref 5169 remove 2722 ref appTerm 2963 ref appTerm 2958 ref appTerm appTerm 180 ref 11040 ref 11041 remove 2968 remove appTerm appTerm appTerm 2964 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11052 def 5106 remove appTerm 11053 def betaConv 2661 ref 11 ref 2716 ref 11 ref 2962 remove 11 ref 2957 remove 17 ref 38 ref 41 ref 5168 remove 2667 ref appTerm 2722 ref appTerm 2963 remove appTerm 2958 remove appTerm appTerm 180 ref 11040 remove 2971 remove appTerm appTerm 2964 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11054 def 5095 remove appTerm 11055 def betaConv 2974 remove 5074 remove appTerm 11056 def betaConv 2977 remove nil 2978 remove 400 ref 11056 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2979 remove 10585 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 11054 ref appTerm nil cons cons 400 ref 11055 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 11054 remove nil cons cons 10688 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 11052 ref appTerm nil cons cons 400 ref 11053 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 11052 remove nil cons cons 10750 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 11050 ref appTerm nil cons cons 400 ref 11051 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 11050 remove nil cons cons 470 ref 5022 ref nil cons 11057 def cons nil cons 11058 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 11048 ref appTerm nil cons cons 400 ref 11049 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 11048 remove nil cons cons 470 ref 5036 ref nil cons 11059 def cons nil cons 11060 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 11046 ref appTerm nil cons cons 400 ref 11047 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 11046 remove nil cons cons 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11039 remove 180 ref 10852 ref appTerm 187 ref 726 ref 11043 ref 6952 ref appTerm appTerm 11061 def appTerm 11062 def 2196 ref 726 ref 11045 ref 6952 ref appTerm appTerm 11063 def appTerm 11064 def appTerm 11065 def appTerm 11066 def appTerm nil cons cons 400 ref 11037 remove nil cons 11067 def cons nil cons 11068 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7301 remove cons nil cons nil cons cons 155 ref subst 5172 remove assume eqMp appThm 11066 ref refl appThm nil 150 ref 11066 ref nil cons 11069 def cons nil cons nil cons cons 614 ref subst trans appThm 11038 remove appThm sym nil 399 ref 11069 ref cons 11068 remove cons nil cons cons 11070 def 416 ref subst 11070 remove 467 ref subst 129 ref "_48060" 14 ref var 11071 def 41 ref 180 ref 11012 ref 11036 ref 187 ref 2800 ref 11071 remove varTerm appTerm 4991 ref appTerm appTerm 10859 ref appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 11072 def 10852 remove appTerm 11073 def appTerm refl 11072 ref 11065 ref appTerm betaConv appThm 439 ref 11073 remove betaConv appThm 41 ref 180 ref 11012 ref 11036 ref 187 ref 2800 ref 11065 remove appTerm 4991 ref appTerm appTerm 11074 def 10859 remove appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm 11075 def refl 11076 def appThm trans 11072 remove refl 11066 remove assume appThm eqMp sym 38 ref 41 ref 5179 ref appTerm 11077 def 180 ref 187 ref 2828 ref 10596 remove 47 ref appTerm appTerm appTerm 11078 def 187 ref 2828 ref 10432 remove appTerm appTerm 11079 def 10404 remove appTerm appTerm appTerm 11080 def 187 ref 2828 ref 44 ref 5024 ref appTerm 11081 def 47 ref appTerm appTerm appTerm 11082 def 2196 ref 2828 ref 44 ref 5178 ref appTerm 11083 def 47 ref appTerm 11084 def appTerm appTerm appTerm appTerm appTerm absTerm 11085 def 6952 ref appTerm 11086 def betaConv 2904 ref 17 ref 38 ref 41 ref 5177 remove 2905 ref appTerm appTerm 11080 ref 11082 remove 2906 remove appTerm appTerm appTerm absTerm appTerm absTerm 11087 def 5178 ref appTerm 11088 def betaConv 2909 ref 34 ref 2904 ref 17 ref 38 ref 41 ref 5176 remove 2910 ref appTerm 2905 ref appTerm appTerm 11080 remove 2912 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 11089 def 5024 ref appTerm 11090 def betaConv 3843 ref 34 ref 2909 ref 34 ref 2904 ref 17 ref 38 ref 41 ref 5175 remove 3844 ref appTerm 2910 ref appTerm 2905 ref appTerm appTerm 180 ref 11078 ref 11079 remove 2828 ref 3845 remove appTerm 11091 def appTerm appTerm appTerm 2912 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11092 def 5108 remove appTerm 11093 def betaConv 580 ref 34 ref 3843 ref 34 ref 2909 ref 34 ref 2904 ref 17 ref 38 ref 41 ref 5174 remove 581 ref appTerm 3844 ref appTerm 2910 ref appTerm 2905 ref appTerm appTerm 180 ref 11078 remove 187 ref 2915 remove appTerm 11091 remove appTerm 11094 def appTerm appTerm 2912 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11095 def 5098 remove appTerm 11096 def betaConv 460 ref 34 ref 580 ref 34 ref 3843 ref 34 ref 2909 ref 34 ref 2904 remove 17 ref 38 ref 41 ref 5173 remove 589 ref appTerm 581 ref appTerm 3844 ref appTerm 2910 ref appTerm 2905 remove appTerm appTerm 180 ref 2919 remove 11094 remove appTerm appTerm 2912 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11097 def 5076 remove appTerm 11098 def betaConv nil 34 ref 11097 ref appTerm 11099 def axiom nil 399 ref 11099 remove nil cons cons 400 ref 11098 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 11097 remove nil cons cons 460 ref 10570 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 11095 ref appTerm nil cons cons 400 ref 11096 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 11095 remove nil cons cons 10439 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 11092 ref appTerm nil cons cons 400 ref 11093 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 11092 remove nil cons cons 10414 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 11089 ref appTerm nil cons cons 400 ref 11090 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 11089 remove nil cons cons 460 ref 5024 ref nil cons 11100 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 11087 ref appTerm nil cons cons 400 ref 11088 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 11087 remove nil cons cons 460 ref 5178 ref nil cons cons nil cons 11101 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 11085 ref appTerm nil cons cons 400 ref 11086 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 11085 remove nil cons cons 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11077 remove 180 ref 10855 ref appTerm 187 ref 2828 ref 11081 ref 6952 ref appTerm appTerm 11102 def appTerm 2196 ref 2828 ref 11083 ref 6952 ref appTerm 11103 def appTerm 11104 def appTerm 11105 def appTerm 11106 def appTerm 11107 def appTerm nil cons cons 400 ref 11075 remove nil cons 11108 def cons nil cons 11109 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7303 remove cons nil cons nil cons cons 155 ref subst 5179 remove assume eqMp appThm 11107 ref refl appThm nil 150 ref 11107 ref nil cons 11110 def cons nil cons nil cons cons 614 ref subst trans appThm 11076 remove appThm sym nil 399 ref 11110 ref cons 11109 remove cons nil cons cons 11111 def 416 ref subst 11111 remove 467 ref subst 129 ref "_48062" 14 ref var 11112 def 41 ref 180 ref 11012 ref 11036 ref 11074 ref 187 ref 2800 ref 11112 remove varTerm appTerm 5277 ref appTerm appTerm 10858 ref appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 11113 def 10855 remove appTerm 11114 def appTerm refl 11113 ref 11106 ref appTerm betaConv appThm 439 ref 11114 remove betaConv appThm 41 ref 180 ref 11012 ref 11036 ref 11074 remove 187 ref 2800 ref 11106 remove appTerm 5277 ref appTerm appTerm 10858 remove appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 11113 remove refl 11107 remove assume appThm eqMp sym 165 ref 1131 ref 11012 ref refl 11115 def 11036 ref refl 11116 def 1368 ref nil 9566 ref 4223 ref 11064 remove nil cons cons 4224 ref 11061 ref nil cons cons nil cons 11117 def cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 11061 remove appTerm 11118 def 4991 ref appTerm 11119 def appTerm 11120 def refl 11121 def 4254 ref nil 1003 ref 11063 ref nil cons 11122 def cons nil cons 11123 def nil cons cons 4221 ref subst appThm 9555 ref appThm nil 9569 remove 4258 ref 11123 ref cons 11124 def cons nil cons cons 9477 ref subst 2800 ref 11063 ref appTerm 11125 def refl 11126 def nil 2073 ref 10627 remove cons nil cons cons 1169 ref subst 1229 ref nil 2073 ref 10628 remove cons nil cons cons 1169 ref subst 1235 ref 2126 ref appThm trans appThm trans 11127 def appThm trans trans appThm trans appThm 1368 ref nil 10881 remove 4223 ref 11105 remove nil cons cons 4224 ref 11102 ref nil cons 11128 def cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 11102 remove appTerm 11129 def 5277 ref appTerm 11130 def appTerm 11131 def refl 11132 def 4254 ref nil 1003 ref 11104 ref nil cons 11133 def cons nil cons 11134 def nil cons cons 4221 ref subst appThm 10215 remove appThm nil 4256 ref 9827 remove cons 4258 ref 11134 remove cons cons nil cons cons 9477 ref subst 2800 ref 11104 ref appTerm 11135 def refl 10242 remove appThm trans trans appThm trans appThm 10893 remove appThm nil 1116 ref 10814 ref 10254 ref appTerm 11136 def nil cons 11137 def cons 11138 def 1003 ref 11135 remove 5284 ref appTerm 11139 def nil cons 11140 def cons 1006 ref 11130 ref nil cons 11141 def cons nil cons 11142 def cons cons nil cons cons 1169 ref subst trans appThm nil 1116 ref 11131 ref 187 ref 11139 ref appTerm 11143 def 11136 remove appTerm 11144 def appTerm 11145 def nil cons 11146 def cons 1003 ref 11125 ref 700 ref 701 ref 207 ref appTerm 11147 def appTerm 11148 def appTerm 11149 def nil cons 11150 def cons 11151 def 1006 ref 11119 ref nil cons 11152 def cons nil cons 11153 def cons cons nil cons cons 1169 ref subst trans appThm appThm appThm 9230 ref appThm appThm 9557 ref appThm sym nil 1116 ref 11120 ref 11131 ref 11036 ref 187 ref 11149 ref appTerm 11154 def 2800 ref 10857 remove 187 ref 10163 remove appTerm 11104 ref appTerm 11155 def appTerm 11156 def appTerm 5284 ref appTerm appTerm appTerm appTerm appTerm 11157 def nil cons cons 1003 ref 11036 ref 11120 ref 11154 ref 11145 remove appTerm 11158 def appTerm 11159 def appTerm 11160 def nil cons cons 1006 ref 11011 remove nil cons cons nil cons 11161 def cons cons nil cons cons 1192 ref subst 180 ref 11160 ref appTerm refl 11121 ref 11132 ref 11116 ref 11154 ref refl 11162 def nil 10891 ref 4223 ref 11155 ref nil cons cons 10892 remove cons cons nil cons cons 4243 ref subst 10965 ref nil 10891 ref 4223 ref 11133 remove cons 4224 ref 10172 remove cons nil cons cons cons nil cons cons 4243 ref subst appThm trans appThm appThm appThm appThm appThm trans sym 1131 ref nil 1003 ref 11159 remove nil cons cons 1006 ref 11035 ref nil cons 11163 def cons nil cons 11164 def cons nil cons cons 1210 ref subst appThm 11120 ref 11131 ref 11036 ref 11154 ref 10814 ref 187 ref 10254 remove appTerm 11165 def 11139 remove appTerm 11166 def appTerm 11167 def appTerm appTerm 11168 def appTerm 11169 def appTerm refl 11170 def appThm sym 1131 ref nil 1116 ref 11163 ref cons 11171 def 1003 ref 11158 remove nil cons cons 11153 ref cons cons nil cons cons 1169 ref subst 11121 ref nil 11171 ref 1003 ref 11146 remove cons 1006 ref 11150 ref cons nil cons 11172 def cons cons nil cons cons 1169 ref subst 11162 ref nil 11171 ref 1003 ref 11144 remove nil cons cons 11142 ref cons cons nil cons cons 1169 ref subst 11132 ref nil 11171 ref 1003 ref 11137 ref cons 11173 def 1006 ref 11140 ref cons nil cons 11174 def cons cons nil cons cons 1169 ref subst 11143 ref refl 11175 def nil 11171 remove 1003 ref 10474 ref cons 11176 def 10964 ref cons 11177 def cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm 11170 remove appThm nil 1116 ref 11169 ref nil cons cons 1003 ref 11154 ref 11131 ref 11143 ref 10814 ref 11165 ref 11035 ref appTerm 11178 def appTerm 11179 def appTerm 11180 def appTerm 11181 def appTerm nil cons cons 11153 ref cons cons nil cons cons 1192 ref subst trans sym 1131 ref nil 1003 ref 11181 remove nil cons cons 11172 ref cons nil cons cons 1210 ref subst appThm 11169 remove refl 11182 def appThm sym 1131 ref nil 1116 ref 11150 remove cons 11183 def 1003 ref 11180 remove nil cons cons 11142 ref cons cons nil cons cons 1169 ref subst 11132 ref nil 11183 ref 1003 ref 11179 remove nil cons cons 11174 ref cons cons nil cons cons 1169 ref subst 11175 remove nil 11183 ref 1003 ref 11178 remove nil cons cons 10964 remove cons cons nil cons cons 1169 ref subst 10965 remove nil 11183 ref 1003 ref 11163 remove cons 11184 def 1006 ref 10474 remove cons nil cons cons cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm 11182 remove appThm nil 1116 ref 11168 ref nil cons cons 1003 ref 11143 remove 10814 remove 11165 remove 11036 ref 11149 ref appTerm 11185 def appTerm appTerm 11186 def appTerm nil cons cons 11142 ref cons cons nil cons cons 1192 ref subst trans sym 1131 ref nil 1003 ref 11186 ref nil cons cons 11174 remove cons nil cons cons 1210 ref subst appThm 11168 remove refl appThm sym 1131 ref 1368 ref nil 1116 ref 11185 ref nil cons 11187 def cons 11177 remove cons nil cons cons 2078 ref subst 11188 def nil 11183 remove 11184 ref 1006 ref 11137 remove cons nil cons cons cons nil cons cons 2078 ref subst trans 1368 ref 1368 ref 10894 remove appThm 4254 ref 3190 ref 11016 ref refl 11189 def 9388 ref appThm appThm appThm 2100 ref appThm 11190 def appThm appThm 4254 ref 3190 ref 11045 ref refl 11191 def 9388 ref appThm appThm appThm nil 1219 ref 8334 ref cons nil cons cons 11192 def 2078 ref subst appThm 11193 def appThm trans appThm 4254 ref 4005 ref 11083 ref refl 11194 def 9388 ref appThm 11195 def appThm appThm 10297 ref appThm 11196 def appThm appThm nil 1116 ref 11167 remove nil cons cons 11151 ref 11164 ref cons 11197 def cons nil cons cons 2078 ref subst nil 1116 ref 11166 remove nil cons cons 10825 remove 1006 ref 11187 remove cons nil cons 11198 def cons cons nil cons cons 2078 ref subst nil 1116 ref 11140 remove cons 11176 remove 1006 ref 187 ref 11185 remove appTerm 10813 remove appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans 1368 ref 1368 ref 1368 ref 1368 ref 11190 ref appThm 11193 ref appThm appThm 10842 remove appThm appThm 10487 remove appThm appThm 11196 remove appThm trans appThm nil 1003 ref 187 ref 187 ref 187 ref 2800 ref 726 ref 11016 remove 9423 ref appTerm appTerm appTerm 192 ref appTerm 11199 def appTerm 11200 def 2800 ref 726 ref 11045 remove 9423 ref appTerm appTerm appTerm 8880 ref 207 ref appTerm appTerm 11201 def appTerm 11202 def appTerm 10896 remove appTerm appTerm 10502 ref appTerm nil cons cons 1116 ref 2800 ref 2828 ref 11083 remove 9423 ref appTerm 11203 def appTerm appTerm 9590 ref appTerm nil cons cons 1006 ref 187 ref 187 ref 10918 remove 10502 remove appTerm 11204 def appTerm 11199 ref appTerm appTerm 11201 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans sym 1131 ref nil 1116 ref 11201 ref nil cons 11205 def cons 1003 ref 11199 ref nil cons 11206 def cons 11207 def 1006 ref 11204 remove nil cons 11208 def cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 11202 remove nil cons 11209 def cons 1003 ref 10503 remove cons 1006 ref 10897 remove cons nil cons cons cons nil cons cons 1169 ref subst trans 10923 ref 1368 ref 4254 ref 4005 ref 10485 remove 9445 ref appThm 11210 def appThm appThm 9597 ref appThm 11211 def appThm 1368 ref 4254 ref 3190 ref 11189 remove 9445 ref appThm appThm appThm 2100 ref appThm appThm 11212 def 4254 ref 3190 ref 11191 remove 9445 ref appThm appThm appThm 11192 remove 1169 ref subst appThm 11213 def appThm appThm appThm trans appThm nil 10504 remove 10898 remove 1006 ref 11209 remove cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 11208 remove cons 1003 ref 11205 remove cons 11214 def 1006 ref 11206 remove cons nil cons cons cons nil cons cons 1169 ref subst trans 11212 ref 1368 ref 11213 remove appThm 11215 def 10923 remove 11211 remove appThm appThm appThm trans appThm sym 180 ref 11186 remove appTerm refl nil 11138 remove 11197 remove cons nil cons cons 2078 ref subst nil 11173 remove 11198 remove cons nil cons cons 1210 ref subst trans appThm sym 11188 remove eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp 129 ref "_48064" 14 ref var 11216 def 41 ref 180 ref 11216 remove varTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 11217 def 11012 ref 11160 remove appTerm 11218 def appTerm 11219 def appTerm refl 11217 remove 11012 ref 11157 remove appTerm 11220 def appTerm betaConv appThm 439 ref 11219 remove betaConv appThm 41 ref 180 ref 11220 ref appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 9653 remove 180 ref 11218 remove appTerm 11220 remove appTerm assume appThm eqMp sym nil 399 ref 129 ref 10593 ref appTerm 11221 def 1407 ref appTerm 11222 def nil cons 11223 def cons 11224 def 400 ref 180 ref 11156 ref appTerm 7316 ref 129 ref 11221 ref 10162 ref appTerm appTerm 11103 ref appTerm 11225 def appTerm 2828 ref 1486 ref 42 ref 10593 ref appTerm 11226 def 10162 ref appTerm 11227 def appTerm 1486 ref 11226 remove 11103 ref appTerm 11228 def appTerm 42 ref 10162 ref appTerm 11103 ref appTerm 11229 def appTerm 11230 def appTerm 11231 def appTerm 11232 def appTerm 11233 def appTerm 11234 def nil cons 11235 def cons nil cons 11236 def cons nil cons cons 11237 def 416 ref subst 11237 remove 467 ref subst 129 ref "_48070" 2 ref var 11238 def 180 ref 187 ref 2828 ref 11238 remove varTerm 11239 def appTerm appTerm 11155 ref appTerm appTerm 7316 ref 129 ref 129 ref 11239 ref appTerm 10162 ref appTerm appTerm 11103 ref appTerm appTerm 2828 ref 1486 ref 42 ref 11239 remove appTerm 11240 def 10162 ref appTerm appTerm 1486 ref 11240 remove 11103 ref appTerm appTerm 11229 ref appTerm appTerm appTerm appTerm appTerm absTerm 11241 def 10593 ref appTerm 11242 def appTerm refl 11243 def 11241 ref 1407 ref appTerm betaConv appThm 439 ref 11242 remove betaConv appThm 11244 def 180 ref 3186 ref 11155 ref appTerm appTerm 7316 ref 129 ref 1798 ref 10162 ref appTerm appTerm 11103 ref appTerm 11245 def appTerm 2828 ref 1486 ref 1498 ref 10162 ref appTerm 11246 def appTerm 1486 ref 1498 ref 11103 ref appTerm 11247 def appTerm 11248 def 11229 ref appTerm appTerm appTerm appTerm appTerm 11249 def refl appThm trans 11241 remove refl 11250 def 11222 remove assume 11251 def appThm eqMp sym nil 399 ref 10461 ref 1407 ref appTerm 11252 def nil cons 11253 def cons 11254 def 400 ref 11249 remove nil cons 11255 def cons nil cons 11256 def cons nil cons cons 11257 def 416 ref subst 11257 remove 467 ref subst 129 ref "_48078" 2 ref var 11258 def 180 ref 3186 ref 187 ref 2828 ref 11258 remove varTerm 11259 def appTerm appTerm 11104 ref appTerm appTerm appTerm 7316 ref 129 ref 1798 ref 11259 ref appTerm appTerm 11103 ref appTerm appTerm 2828 ref 1486 ref 1498 ref 11259 ref appTerm appTerm 11248 ref 42 ref 11259 remove appTerm 11103 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11260 def 10162 ref appTerm 11261 def appTerm refl 11262 def 11260 ref 1407 ref appTerm betaConv appThm 439 ref 11261 remove betaConv appThm 11263 def 180 ref 3186 ref 3186 ref 11104 ref appTerm 11264 def appTerm appTerm 7316 ref 129 ref 3981 ref appTerm 11265 def 11103 ref appTerm 11266 def appTerm 2828 ref 3984 ref 11248 ref 11247 ref appTerm appTerm appTerm appTerm appTerm 11267 def refl appThm trans 11260 remove refl 11268 def 11252 remove assume 11269 def appThm eqMp sym nil 399 ref 129 ref 11103 ref appTerm 11270 def 1407 ref appTerm 11271 def nil cons 11272 def cons 11273 def 400 ref 11267 remove nil cons 11274 def cons nil cons 11275 def cons nil cons cons 11276 def 416 ref subst 11276 remove 467 ref subst 129 ref "_48094" 2 ref var 11277 def 180 ref 3186 ref 3186 ref 2828 ref 11277 remove varTerm 11278 def appTerm appTerm appTerm appTerm 7316 ref 11265 ref 11278 ref appTerm appTerm 2828 ref 3984 ref 1486 ref 1498 ref 11278 remove appTerm 11279 def appTerm 11279 remove appTerm appTerm appTerm appTerm appTerm absTerm 11280 def 11103 ref appTerm 11281 def appTerm refl 11282 def 11280 ref 1407 ref appTerm betaConv appThm 439 ref 11281 remove betaConv appThm 11283 def 180 ref 3186 ref 3186 ref 3166 ref appTerm 11284 def appTerm appTerm 7316 ref 11265 ref 1407 ref appTerm 11285 def appTerm 2828 ref 3984 ref 3984 ref 3983 ref appTerm appTerm 11286 def appTerm 11287 def appTerm appTerm refl appThm trans 11280 remove refl 11288 def 11271 remove assume 11289 def appThm eqMp sym 1131 ref 3249 ref 3249 ref 3248 ref appThm 11290 def appThm appThm nil 38 ref 11287 remove nil cons cons 7598 ref 11285 ref nil cons 11291 def cons nil cons cons nil cons cons 9876 ref subst 1368 ref nil 1712 ref 11291 remove cons nil cons nil cons cons 3245 ref subst 3241 remove refl 11292 def nil 150 ref 3981 remove nil cons cons nil cons nil cons cons 11293 def 4418 ref subst 4006 remove trans 11294 def appThm 2100 ref appThm 1266 ref appThm 3247 ref trans trans appThm 2814 ref nil 1712 ref 11286 remove nil cons cons nil cons nil cons cons 3245 ref subst 11292 ref 1508 ref 4008 ref appThm 11295 def 4004 remove 150 ref 129 ref 1950 remove 151 ref appTerm appTerm 151 ref appTerm absTerm 11296 def 151 ref appTerm 11297 def betaConv nil 607 ref 11296 ref appTerm 11298 def axiom nil 399 ref 11298 remove nil cons cons 400 ref 11297 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 11296 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 11299 def subst 4008 ref trans appThm 1797 ref 1541 ref subst 11300 def trans appThm 2100 ref appThm 1266 ref appThm 3247 ref trans trans appThm appThm trans appThm sym 1131 ref 6636 ref 1265 ref appThm 1265 ref trans appThm 6636 ref 3255 ref appThm 1265 ref trans appThm 1282 ref trans sym 154 ref eqMp eqMp eqMp eqMp nil 435 ref 11272 ref cons 11301 def 437 ref 11274 ref cons nil cons 11302 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 11270 remove 140 ref appTerm 11303 def nil cons 11304 def cons 11305 def 11275 remove cons nil cons cons 11306 def 416 ref subst 11306 remove 467 ref subst 11282 remove "_48092" 2 ref var 11307 def 180 ref 3186 ref 3186 ref 2828 ref 11307 remove varTerm 11308 def appTerm appTerm appTerm appTerm 7316 ref 11265 ref 11308 ref appTerm appTerm 2828 ref 3984 ref 1486 ref 1498 ref 11308 remove appTerm 11309 def appTerm 11309 remove appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11283 remove 180 ref 3186 ref 3186 ref 3307 ref appTerm 11310 def appTerm appTerm 7316 ref 11265 ref 140 ref appTerm 11311 def appTerm 2828 ref 3984 ref 4040 ref 4018 ref appTerm appTerm 11312 def appTerm 11313 def appTerm appTerm refl appThm trans 11288 remove 11303 remove assume 11314 def appThm eqMp sym 1131 ref 3249 ref 3249 ref 3326 ref appThm 11315 def appThm appThm nil 38 ref 11313 remove nil cons cons 7598 ref 11311 ref nil cons 11316 def cons nil cons cons nil cons cons 9876 ref subst 1368 ref nil 1712 ref 11316 remove cons nil cons nil cons cons 3245 ref subst 11292 ref 11293 remove 150 ref 129 ref 153 remove appTerm 151 ref appTerm absTerm 11317 def 151 ref appTerm 11318 def betaConv nil 607 ref 11317 ref appTerm 11319 def axiom nil 399 ref 11319 remove nil cons cons 400 ref 11318 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 11317 remove nil cons cons 613 ref cons nil cons cons 469 ref subst eqMp eqMp 11320 def subst 1803 ref trans 11321 def appThm 2100 ref appThm 1266 ref appThm 3325 ref trans trans appThm 2814 ref nil 1712 ref 11312 remove nil cons cons nil cons nil cons cons 3245 ref subst 11292 ref 11295 ref 4020 remove 11299 ref subst 4059 ref trans appThm 11300 ref trans appThm 2100 ref appThm 1266 ref appThm 3247 ref trans trans appThm appThm trans appThm sym 1131 ref 6636 ref 2054 ref appThm 2054 ref trans appThm 4544 ref 3255 remove appThm 3328 ref trans 11322 def appThm 4060 ref trans sym 154 ref eqMp eqMp eqMp eqMp nil 435 ref 11304 remove cons 11323 def 11302 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 11103 ref appTerm 11324 def betaConv 1548 ref nil 1549 ref 400 ref 11324 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 11103 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 11325 def nil 11323 ref 437 ref 11272 remove cons 11326 def 1553 ref 11274 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 11253 ref cons 11327 def 437 ref 11255 ref cons nil cons 11328 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 10461 remove 140 ref appTerm 11329 def nil cons 11330 def cons 11331 def 11256 remove cons nil cons cons 11332 def 416 ref subst 11332 remove 467 ref subst 11262 remove "_48076" 2 ref var 11333 def 180 ref 3186 ref 187 ref 2828 ref 11333 remove varTerm 11334 def appTerm appTerm 11104 ref appTerm appTerm appTerm 7316 ref 129 ref 1798 ref 11334 ref appTerm appTerm 11103 ref appTerm appTerm 2828 ref 1486 ref 1498 ref 11334 ref appTerm appTerm 11248 ref 42 ref 11334 remove appTerm 11103 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11263 remove 180 ref 3186 ref 3308 ref 11104 ref appTerm 11335 def appTerm appTerm 7316 ref 129 ref 4038 ref appTerm 11336 def 11103 ref appTerm 11337 def appTerm 2828 ref 4040 ref 11248 remove 629 ref 11103 ref appTerm 11338 def appTerm appTerm appTerm appTerm appTerm 11339 def refl appThm trans 11268 remove 11329 remove assume 11340 def appThm eqMp sym nil 11273 ref 400 ref 11339 remove nil cons 11341 def cons nil cons 11342 def cons nil cons cons 11343 def 416 ref subst 11343 remove 467 ref subst 129 ref "_48090" 2 ref var 11344 def 180 ref 3186 ref 3308 ref 2828 ref 11344 remove varTerm 11345 def appTerm appTerm appTerm appTerm 7316 ref 11336 ref 11345 ref appTerm appTerm 2828 ref 4040 ref 1486 ref 1498 ref 11345 ref appTerm appTerm 629 ref 11345 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11346 def 11103 ref appTerm 11347 def appTerm refl 11348 def 11346 ref 1407 ref appTerm betaConv appThm 439 ref 11347 remove betaConv appThm 11349 def 180 ref 3186 ref 3308 ref 3166 remove appTerm 11350 def appTerm appTerm 7316 ref 11336 ref 1407 ref appTerm 11351 def appTerm 2828 ref 4040 ref 3984 remove 4053 ref appTerm appTerm 11352 def appTerm 11353 def appTerm appTerm refl appThm trans 11346 remove refl 11354 def 11289 ref appThm eqMp sym 1131 ref 3249 ref 3327 ref 3248 ref appThm 11355 def appThm appThm nil 38 ref 11353 remove nil cons cons 7598 ref 11351 ref nil cons 11356 def cons nil cons cons nil cons cons 9876 ref subst 1368 ref nil 1712 ref 11356 remove cons nil cons nil cons cons 3245 ref subst 11292 ref nil 150 ref 4038 remove nil cons cons nil cons nil cons cons 11357 def 4418 ref subst 4057 remove trans 11358 def appThm 2100 ref appThm 1266 ref appThm 3325 ref trans trans appThm 2814 ref nil 1712 ref 11352 remove nil cons cons nil cons nil cons cons 3245 ref subst 11292 ref 1508 ref 4059 ref appThm 11359 def 11295 remove 4110 ref appThm 11300 ref trans appThm 11300 ref trans appThm 2100 ref appThm 1266 ref appThm 3247 ref trans trans appThm appThm trans appThm sym 1131 ref 6636 ref 3328 ref appThm 2054 ref trans appThm 11322 ref appThm 4060 ref trans sym 154 ref eqMp eqMp eqMp eqMp nil 11301 ref 437 ref 11341 ref cons nil cons 11360 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11305 ref 11342 remove cons nil cons cons 11361 def 416 ref subst 11361 remove 467 ref subst 11348 remove "_48088" 2 ref var 11362 def 180 ref 3186 ref 3308 ref 2828 ref 11362 remove varTerm 11363 def appTerm appTerm appTerm appTerm 7316 ref 11336 ref 11363 ref appTerm appTerm 2828 ref 4040 ref 1486 ref 1498 ref 11363 ref appTerm appTerm 629 ref 11363 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11349 remove 180 ref 3186 ref 3308 ref 3307 remove appTerm 11364 def appTerm appTerm 7316 ref 11336 ref 140 ref appTerm 11365 def appTerm 2828 ref 4040 ref 4040 remove 4065 ref appTerm appTerm 11366 def appTerm 11367 def appTerm appTerm refl appThm trans 11354 remove 11314 ref appThm eqMp sym 1131 ref 3249 remove 3327 ref 3326 remove appThm 11368 def appThm appThm nil 38 ref 11367 remove nil cons cons 7598 ref 11365 ref nil cons 11369 def cons nil cons cons nil cons cons 9876 ref subst 1368 ref nil 1712 ref 11369 remove cons nil cons nil cons cons 3245 ref subst 11292 ref 11357 remove 11320 ref subst 4056 ref trans 11370 def appThm 2100 ref appThm 1266 ref appThm 3247 ref trans trans appThm 2814 ref nil 1712 ref 11366 remove nil cons cons nil cons nil cons cons 3245 ref subst 11292 ref 11359 ref 11359 remove 634 ref appThm 628 ref 1541 ref subst 11371 def trans appThm 11371 ref trans appThm 2100 ref appThm 1266 ref appThm 3325 ref trans trans appThm appThm trans appThm sym 1131 ref 6636 ref 2126 ref appThm 3370 ref trans appThm 6636 remove 3366 ref appThm 3370 remove trans 11372 def appThm 4023 ref trans sym 154 ref eqMp eqMp eqMp eqMp nil 11323 ref 11360 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11325 ref nil 11323 ref 11326 ref 1553 ref 11341 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 11330 remove cons 11373 def 11328 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 10162 ref appTerm 11374 def betaConv 1548 ref nil 1549 ref 400 ref 11374 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 10162 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 11375 def nil 11373 ref 437 ref 11253 remove cons 11376 def 1553 ref 11255 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 11223 ref cons 11377 def 437 ref 11235 ref cons nil cons 11378 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 11221 remove 140 ref appTerm 11379 def nil cons 11380 def cons 11381 def 11236 remove cons nil cons cons 11382 def 416 ref subst 11382 remove 467 ref subst 11243 remove "_48068" 2 ref var 11383 def 180 ref 187 ref 2828 ref 11383 remove varTerm 11384 def appTerm appTerm 11155 ref appTerm appTerm 7316 ref 129 ref 129 ref 11384 ref appTerm 10162 ref appTerm appTerm 11103 ref appTerm appTerm 2828 ref 1486 ref 42 ref 11384 remove appTerm 11385 def 10162 ref appTerm appTerm 1486 ref 11385 remove 11103 ref appTerm appTerm 11229 ref appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11244 remove 180 ref 3308 ref 11155 remove appTerm appTerm 7316 ref 129 ref 1518 ref 10162 ref appTerm appTerm 11103 ref appTerm 11386 def appTerm 2828 ref 1486 ref 629 ref 10162 ref appTerm 11387 def appTerm 1486 ref 11338 ref appTerm 11388 def 11229 ref appTerm appTerm appTerm appTerm appTerm 11389 def refl appThm trans 11250 remove 11379 remove assume 11390 def appThm eqMp sym nil 11254 ref 400 ref 11389 remove nil cons 11391 def cons nil cons 11392 def cons nil cons cons 11393 def 416 ref subst 11393 remove 467 ref subst 129 ref "_48074" 2 ref var 11394 def 180 ref 3308 ref 187 ref 2828 ref 11394 remove varTerm 11395 def appTerm appTerm 11104 ref appTerm appTerm appTerm 7316 ref 129 ref 1518 ref 11395 ref appTerm appTerm 11103 ref appTerm appTerm 2828 ref 1486 ref 629 ref 11395 ref appTerm appTerm 11388 ref 42 ref 11395 remove appTerm 11103 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11396 def 10162 ref appTerm 11397 def appTerm refl 11398 def 11396 ref 1407 ref appTerm betaConv appThm 439 ref 11397 remove betaConv appThm 11399 def 180 ref 3308 ref 11264 remove appTerm appTerm 7316 ref 129 ref 4092 ref appTerm 11400 def 11103 ref appTerm 11401 def appTerm 2828 ref 4094 ref 11388 ref 11247 ref appTerm appTerm appTerm appTerm appTerm 11402 def refl appThm trans 11396 remove refl 11403 def 11269 ref appThm eqMp sym nil 11273 ref 400 ref 11402 remove nil cons 11404 def cons nil cons 11405 def cons nil cons cons 11406 def 416 ref subst 11406 remove 467 ref subst 129 ref "_48086" 2 ref var 11407 def 180 ref 3308 ref 3186 ref 2828 ref 11407 remove varTerm 11408 def appTerm appTerm appTerm appTerm 7316 ref 11400 ref 11408 ref appTerm appTerm 2828 ref 4094 ref 1486 ref 629 ref 11408 ref appTerm appTerm 1498 ref 11408 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11409 def 11103 ref appTerm 11410 def appTerm refl 11411 def 11409 ref 1407 ref appTerm betaConv appThm 439 ref 11410 remove betaConv appThm 11412 def 180 ref 3308 ref 11284 remove appTerm appTerm 7316 ref 11400 ref 1407 ref appTerm 11413 def appTerm 2828 ref 4094 ref 4094 ref 3983 ref appTerm appTerm 11414 def appTerm 11415 def appTerm appTerm refl appThm trans 11409 remove refl 11416 def 11289 ref appThm eqMp sym 1131 ref 3327 ref 11290 remove appThm appThm nil 38 ref 11415 remove nil cons cons 7598 ref 11413 ref nil cons 11417 def cons nil cons cons nil cons cons 9876 ref subst 1368 ref nil 1712 ref 11417 remove cons nil cons nil cons cons 3245 ref subst 11292 ref nil 150 ref 4092 remove nil cons cons nil cons nil cons cons 11418 def 4418 ref subst 4108 remove trans 11419 def appThm 2100 ref appThm 1266 ref appThm 3325 ref trans trans appThm 2814 ref nil 1712 ref 11414 remove nil cons cons nil cons nil cons cons 3245 ref subst 11292 ref 1508 ref 4110 ref appThm 11420 def 11420 ref 4008 ref appThm 11300 ref trans appThm 11300 ref trans appThm 2100 ref appThm 1266 ref appThm 3247 ref trans trans appThm appThm trans appThm sym 1131 ref 4544 ref 1265 remove appThm 3328 ref trans appThm 11322 remove appThm 4060 remove trans sym 154 ref eqMp eqMp eqMp eqMp nil 11301 ref 437 ref 11404 ref cons nil cons 11421 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11305 ref 11405 remove cons nil cons cons 11422 def 416 ref subst 11422 remove 467 ref subst 11411 remove "_48084" 2 ref var 11423 def 180 ref 3308 ref 3186 remove 2828 ref 11423 remove varTerm 11424 def appTerm appTerm appTerm appTerm 7316 ref 11400 ref 11424 ref appTerm appTerm 2828 ref 4094 ref 1486 ref 629 ref 11424 ref appTerm appTerm 1498 ref 11424 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11412 remove 180 ref 3308 ref 11310 remove appTerm appTerm 7316 ref 11400 ref 140 ref appTerm 11425 def appTerm 2828 ref 4094 ref 4121 ref 4018 ref appTerm appTerm 11426 def appTerm 11427 def appTerm appTerm refl appThm trans 11416 remove 11314 ref appThm eqMp sym 1131 ref 3327 ref 11315 remove appThm appThm nil 38 ref 11427 remove nil cons cons 7598 ref 11425 ref nil cons 11428 def cons nil cons cons nil cons cons 9876 ref subst 1368 ref nil 1712 ref 11428 remove cons nil cons nil cons cons 3245 ref subst 11292 ref 11418 remove 11320 ref subst 4107 remove trans 11429 def appThm 2100 ref appThm 1266 ref appThm 3247 ref trans trans appThm 2814 ref nil 1712 ref 11426 remove nil cons cons nil cons nil cons cons 3245 ref subst 11292 ref 11420 remove 1508 ref 634 ref appThm 11430 def 4059 ref appThm 1797 ref 1517 ref subst 11431 def trans appThm 11371 ref trans appThm 2100 ref appThm 1266 ref appThm 3325 ref trans trans appThm appThm trans appThm sym 1131 ref 4544 ref 2054 ref appThm 2126 ref trans appThm 11372 ref appThm 4023 ref trans sym 154 ref eqMp eqMp eqMp eqMp nil 11323 ref 11421 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11325 ref nil 11323 ref 11326 ref 1553 ref 11404 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 11327 ref 437 ref 11391 ref cons nil cons 11432 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11331 ref 11392 remove cons nil cons cons 11433 def 416 ref subst 11433 remove 467 ref subst 11398 remove "_48072" 2 ref var 11434 def 180 ref 3308 ref 187 ref 2828 ref 11434 remove varTerm 11435 def appTerm appTerm 11104 remove appTerm appTerm appTerm 7316 ref 129 ref 1518 ref 11435 ref appTerm appTerm 11103 ref appTerm appTerm 2828 ref 1486 ref 629 ref 11435 ref appTerm appTerm 11388 ref 42 ref 11435 remove appTerm 11103 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11399 remove 180 ref 3308 ref 11335 remove appTerm appTerm 7316 ref 129 ref 4119 ref appTerm 11436 def 11103 ref appTerm 11437 def appTerm 2828 ref 4121 ref 11388 remove 11338 ref appTerm appTerm appTerm appTerm appTerm 11438 def refl appThm trans 11403 remove 11340 ref appThm eqMp sym nil 11273 ref 400 ref 11438 remove nil cons 11439 def cons nil cons 11440 def cons nil cons cons 11441 def 416 ref subst 11441 remove 467 ref subst 129 ref "_48082" 2 ref var 11442 def 180 ref 3308 ref 3308 ref 2828 ref 11442 remove varTerm 11443 def appTerm appTerm appTerm appTerm 7316 ref 11436 ref 11443 ref appTerm appTerm 2828 ref 4121 ref 1486 ref 629 ref 11443 remove appTerm 11444 def appTerm 11444 remove appTerm appTerm appTerm appTerm appTerm absTerm 11445 def 11103 ref appTerm 11446 def appTerm refl 11447 def 11445 ref 1407 ref appTerm betaConv appThm 439 ref 11446 remove betaConv appThm 11448 def 180 ref 3308 ref 11350 remove appTerm appTerm 7316 ref 11436 ref 1407 ref appTerm 11449 def appTerm 2828 ref 4121 ref 4094 remove 4053 ref appTerm appTerm 11450 def appTerm 11451 def appTerm appTerm refl appThm trans 11445 remove refl 11452 def 11289 ref appThm eqMp sym 1131 ref 3327 ref 11355 remove appThm appThm nil 38 ref 11451 remove nil cons cons 7598 ref 11449 ref nil cons 11453 def cons nil cons cons nil cons cons 9876 ref subst 1368 ref nil 1712 ref 11453 remove cons nil cons nil cons cons 3245 ref subst 11292 ref nil 150 ref 4119 remove nil cons cons nil cons nil cons cons 11454 def 4418 ref subst 4133 remove trans 11455 def appThm 2100 ref appThm 1266 ref appThm 3247 remove trans trans appThm 2814 ref nil 1712 ref 11450 remove nil cons cons nil cons nil cons cons 3245 ref subst 11292 ref 11430 ref 4055 remove 11299 ref subst 4110 ref trans appThm 11431 ref trans appThm 2100 ref appThm 1266 ref appThm 3325 ref trans trans appThm appThm trans appThm sym 1131 ref 4544 ref 3328 ref appThm 2126 ref trans appThm 11372 remove appThm 4023 remove trans sym 154 ref eqMp eqMp eqMp eqMp nil 11301 ref 437 ref 11439 ref cons nil cons 11456 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11305 ref 11440 remove cons nil cons cons 11457 def 416 ref subst 11457 remove 467 ref subst 11447 remove "_48080" 2 ref var 11458 def 180 ref 3308 ref 3308 ref 2828 ref 11458 remove varTerm 11459 def appTerm appTerm appTerm appTerm 7316 ref 11436 ref 11459 ref appTerm appTerm 2828 ref 4121 ref 1486 ref 629 ref 11459 remove appTerm 11460 def appTerm 11460 remove appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11448 remove 180 ref 3308 remove 11364 remove appTerm appTerm 7316 remove 11436 ref 140 ref appTerm 11461 def appTerm 2828 ref 4121 ref 4121 remove 4065 ref appTerm appTerm 11462 def appTerm 11463 def appTerm appTerm refl appThm trans 11452 remove 11314 ref appThm eqMp sym 1131 ref 3327 remove 11368 remove appThm appThm nil 38 ref 11463 remove nil cons cons 7598 ref 11461 ref nil cons 11464 def cons nil cons cons nil cons cons 9876 ref subst 1368 ref nil 1712 ref 11464 remove cons nil cons nil cons cons 3245 ref subst 11292 ref 11454 remove 11320 ref subst 1523 ref trans 11465 def appThm 2100 ref appThm 1266 ref appThm 3325 ref trans trans appThm 2814 ref nil 1712 ref 11462 remove nil cons cons nil cons nil cons cons 3245 remove subst 11292 remove 11430 remove 4066 remove 11299 remove subst 634 ref trans appThm 628 ref 1517 ref subst 11466 def trans appThm 2100 ref appThm 1266 ref appThm 3325 remove trans trans appThm appThm trans appThm sym 1131 ref 9956 remove appThm 4544 ref 3366 remove appThm 2055 ref trans appThm nil 9573 ref nil cons nil cons cons 11467 def 4022 remove subst trans sym 154 ref eqMp eqMp eqMp eqMp nil 11323 ref 11456 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11325 ref nil 11323 ref 11326 ref 1553 ref 11439 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 11373 ref 11432 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11375 ref nil 11373 ref 11376 ref 1553 ref 11391 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 11380 remove cons 11468 def 11378 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 ref 10593 ref appTerm 11469 def betaConv 1548 ref nil 1549 ref 400 ref 11469 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 ref 611 ref 10593 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 11470 def nil 11468 ref 437 ref 11223 remove cons 11471 def 1553 ref 11235 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp 129 ref "_48066" 14 ref var 11472 def 41 ref 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 11154 ref 2800 ref 11472 remove varTerm appTerm 5284 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 11473 def 11156 remove appTerm 11474 def appTerm refl 11473 ref 11233 ref appTerm betaConv appThm 439 ref 11474 remove betaConv appThm 41 ref 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 11154 ref 2800 ref 11233 remove appTerm 5284 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm refl appThm trans 11473 remove refl 11234 remove assume appThm eqMp sym 165 ref 1131 ref 11115 ref 11121 ref 11132 remove 11116 ref 11162 remove 4254 ref nil 38 ref 11232 ref nil cons 11475 def cons 7598 remove 11225 ref nil cons cons nil cons cons nil cons cons 9876 remove subst 187 ref 2828 ref 11225 ref appTerm 11476 def appTerm refl nil 1003 ref 11475 ref cons nil cons 11477 def nil cons cons 4221 remove subst appThm trans appThm 9598 ref appThm nil 10891 remove 4223 ref 2800 ref 11232 remove appTerm 11478 def 192 ref appTerm nil cons cons 4224 ref 11476 ref nil cons cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 11476 remove appTerm 5284 ref appTerm 11479 def appTerm 11480 def refl nil 4256 ref 10028 remove cons 4258 remove 11477 remove cons cons nil cons cons 9477 remove subst 11478 ref refl nil 2073 ref 10632 remove cons nil cons cons 1169 ref subst 1229 ref nil 2073 ref 10633 remove cons nil cons cons 1169 ref subst 1235 ref nil 2073 ref 9574 remove cons nil cons cons 1169 ref subst 6578 ref 9588 ref appThm trans appThm trans appThm trans appThm trans appThm trans trans appThm appThm appThm appThm appThm appThm 9230 ref appThm appThm 9557 remove appThm sym 165 ref 1131 ref nil 1116 ref 11131 ref 11036 ref 11154 ref 11480 remove 11478 remove 5301 remove appTerm 11481 def appTerm 11482 def appTerm 11483 def appTerm 11484 def appTerm nil cons cons 1003 ref 11152 remove cons 11161 ref cons cons nil cons cons 2078 ref subst nil 1116 ref 11484 remove nil cons cons 1003 ref 11141 remove cons 1006 ref 11012 ref 11119 remove appTerm 11485 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 11483 remove nil cons cons 11184 remove 1006 ref 187 ref 11485 remove appTerm 11130 remove appTerm 11486 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 11482 remove nil cons cons 11151 remove 1006 ref 187 ref 11486 remove appTerm 11035 remove appTerm 11487 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 11481 remove nil cons cons 1003 ref 11479 ref nil cons cons 1006 ref 187 ref 11487 remove appTerm 11149 remove appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 3190 ref 10993 ref refl 11488 def 9388 ref appThm appThm appThm 4254 ref 3190 ref 11043 ref refl 11489 def 9388 ref appThm appThm appThm 9618 remove appThm appThm appThm 4254 ref 4005 ref 11081 ref refl 11490 def 9388 ref appThm appThm appThm 10294 remove appThm appThm appThm 11190 remove appThm appThm 11193 remove appThm appThm 4254 ref 4005 ref 439 ref 439 ref 10841 ref appThm 10486 ref appThm appThm 11195 ref appThm appThm appThm 10297 remove appThm appThm appThm 4254 ref 4005 ref 1508 ref 625 ref 10841 remove appThm 11491 def 10486 ref appThm appThm 1508 ref 11491 remove 11195 ref appThm appThm 625 ref 10486 remove appThm 11195 remove appThm appThm appThm appThm appThm 9403 remove appThm appThm trans appThm 9230 ref appThm appThm 1131 ref 1368 ref 3190 ref 6951 ref refl 11492 def 9388 ref appThm appThm appThm 4254 ref 3190 ref 6954 ref refl 11493 def 9388 remove appThm appThm appThm 2100 ref appThm appThm appThm 9230 ref appThm appThm sym 165 ref 1131 ref nil 1003 ref 2800 ref 2828 ref 1486 ref 42 ref 10895 ref appTerm 11494 def 10501 ref appTerm appTerm 1486 ref 11494 remove 11203 ref appTerm appTerm 42 ref 10501 ref appTerm 11203 ref appTerm appTerm appTerm appTerm appTerm 9421 remove appTerm nil cons cons 1006 ref 187 ref 187 ref 187 ref 187 ref 187 ref 726 ref 10993 remove 9423 ref appTerm appTerm 11495 def appTerm 2800 ref 726 ref 11043 remove 9423 ref appTerm appTerm appTerm 9635 ref appTerm 11496 def appTerm 11497 def appTerm 2800 ref 2828 ref 11081 remove 9423 ref appTerm appTerm appTerm 10312 remove appTerm 11498 def appTerm 11499 def appTerm 11199 remove appTerm 11500 def appTerm 11201 ref appTerm appTerm 2800 ref 2828 ref 129 ref 129 ref 10895 remove appTerm 10501 remove appTerm appTerm 11203 remove appTerm appTerm appTerm 9590 remove appTerm 11501 def appTerm nil cons cons nil cons cons nil cons cons 1210 ref subst appThm 9230 ref appThm appThm 180 ref 187 ref 726 ref 6951 ref 9423 ref appTerm appTerm appTerm 2800 ref 726 ref 6954 ref 9423 remove appTerm appTerm appTerm 192 ref appTerm appTerm appTerm 1009 ref appTerm refl appThm sym 165 ref 1131 ref 1368 ref 4254 ref 4005 ref 1508 ref 625 ref 10921 ref appThm 11502 def 11210 ref appThm appThm 1508 ref 11502 remove 11194 remove 9445 ref appThm 11503 def appThm appThm 625 ref 11210 ref appThm 11503 ref appThm appThm appThm appThm appThm 9450 remove appThm appThm nil 1116 ref 11501 ref nil cons cons 11214 remove 1006 ref 11500 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 11201 remove appTerm 11501 remove appTerm 11504 def nil cons cons 11207 remove 1006 ref 11499 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 11200 remove 11504 remove appTerm 11505 def nil cons cons 1003 ref 11498 ref nil cons cons 1006 ref 11497 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 11498 remove appTerm 11505 remove appTerm nil cons cons 1003 ref 11496 remove nil cons cons 1006 ref 11495 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst trans trans trans 1368 ref 3190 ref 11488 remove 9445 ref appThm appThm appThm 1368 ref 4254 ref 3190 ref 11489 remove 9445 ref appThm appThm appThm 9480 ref appThm appThm 1368 ref 4254 ref 4005 ref 11490 remove 9445 ref appThm appThm appThm 10331 remove appThm appThm 11212 remove 11215 remove 4254 ref 4005 ref 439 ref 439 ref 10921 remove appThm 11210 remove appThm appThm 11503 remove appThm appThm appThm 9597 remove appThm appThm appThm appThm appThm appThm trans appThm appThm 9230 ref appThm nil 3391 ref 11012 ref 11120 ref 11131 ref 11036 ref 11154 ref 11479 remove appTerm appTerm appTerm appTerm appTerm 11506 def nil cons cons 3390 ref 11475 remove cons nil cons cons nil cons cons 9460 remove subst 625 ref nil 1712 ref 11231 remove nil cons cons nil cons nil cons cons 1712 ref 129 ref 3239 remove 191 ref appTerm appTerm 1732 remove appTerm absTerm 11507 def 1730 ref appTerm 11508 def betaConv nil 607 ref 11507 ref appTerm 11509 def axiom nil 399 ref 11509 remove nil cons cons 400 ref 11508 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 11507 remove nil cons cons 1751 ref cons nil cons cons 469 ref subst eqMp eqMp subst nil 1811 ref 11230 remove nil cons cons 1812 ref 11227 ref nil cons cons nil cons cons nil cons cons 1811 ref 129 ref 77 ref 1817 remove appTerm 11510 def appTerm 42 ref 4435 ref appTerm 4436 ref appTerm 11511 def appTerm 11512 def absTerm 11513 def 1816 ref appTerm 11514 def betaConv 1812 ref 607 ref 11513 ref appTerm 11515 def absTerm 11516 def 1814 ref appTerm 11517 def betaConv nil 607 ref 11516 ref appTerm 11518 def axiom nil 399 ref 11518 remove nil cons cons 400 ref 11517 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 11516 remove nil cons cons 1825 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11515 remove nil cons cons 400 ref 11514 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 11513 remove nil cons cons 1826 ref cons nil cons cons 469 ref subst eqMp eqMp 11519 def subst trans 42 ref 77 ref 11227 remove appTerm 11520 def appTerm 11521 def refl nil 1811 ref 11229 ref nil cons cons 1812 ref 11228 ref nil cons cons nil cons cons nil cons cons 11519 ref subst appThm trans appThm 180 ref 11506 remove appTerm 1009 ref appTerm 11522 def refl appThm trans trans appThm 1131 ref 1368 ref 3190 ref 11492 ref 9445 ref appThm appThm appThm 4254 ref 3190 ref 11493 ref 9445 remove appThm appThm appThm 2100 ref appThm appThm appThm 9230 ref appThm appThm sym nil 399 ref 42 ref 11521 remove 42 ref 77 ref 11228 remove appTerm 11523 def appTerm 77 ref 11229 remove appTerm 11524 def appTerm 11525 def appTerm 11526 def appTerm 11522 ref appTerm nil cons 11527 def cons 9659 ref cons nil cons cons 11528 def 416 ref subst 11528 remove 467 ref subst nil 435 ref 11526 remove nil cons cons 437 ref 11522 remove nil cons 11529 def cons nil cons cons nil cons cons 11530 def 451 ref subst 11530 remove 515 ref subst nil 435 ref 11520 ref nil cons 11531 def cons 437 ref 11525 remove nil cons cons nil cons cons nil cons cons 11532 def 451 ref subst 11532 remove 515 ref subst nil 435 ref 11523 ref nil cons 11533 def cons 437 ref 11524 ref nil cons 11534 def cons nil cons cons nil cons cons 11535 def 451 ref subst 11535 remove 515 ref subst nil 399 ref 11529 remove cons 9659 ref cons nil cons cons 459 ref subst nil 399 ref 11534 remove cons 400 ref 129 ref 11225 ref appTerm 1486 ref 10593 ref appTerm 1486 ref 10162 ref appTerm 11103 ref appTerm 11536 def appTerm 11537 def appTerm 11538 def nil cons cons nil cons cons nil cons cons 459 ref subst nil 399 ref 11533 remove cons 400 ref 41 ref 11524 remove appTerm 11539 def 11538 ref appTerm 11540 def nil cons cons nil cons cons nil cons cons 459 ref subst nil 399 ref 11531 remove cons 400 ref 41 ref 11523 remove appTerm 11540 remove appTerm 11541 def nil cons cons nil cons cons nil cons cons 459 ref subst nil 11224 remove 400 ref 41 ref 11520 remove appTerm 11541 remove appTerm nil cons 11542 def cons nil cons 11543 def cons nil cons cons 11544 def 416 ref subst 11544 remove 467 ref subst 129 ref "_48100" 2 ref var 11545 def 41 ref 77 ref 42 ref 11545 remove varTerm 11546 def appTerm 11547 def 10162 ref appTerm appTerm appTerm 41 ref 77 ref 11547 remove 11103 ref appTerm appTerm appTerm 11539 ref 129 ref 129 ref 129 ref 11546 ref appTerm 10162 ref appTerm appTerm 11103 ref appTerm appTerm 1486 ref 11546 remove appTerm 11536 ref appTerm appTerm appTerm appTerm appTerm absTerm 11548 def 10593 remove appTerm 11549 def appTerm refl 11550 def 11548 ref 1407 ref appTerm betaConv appThm 439 ref 11549 remove betaConv appThm 11551 def 41 ref 77 ref 11246 remove appTerm appTerm 41 ref 77 ref 11247 remove appTerm appTerm 11552 def 11539 ref 129 ref 11245 remove appTerm 1537 ref 11536 ref appTerm appTerm appTerm appTerm appTerm 11553 def refl appThm trans 11548 remove refl 11554 def 11251 remove appThm eqMp sym nil 11254 ref 400 ref 11553 remove nil cons 11555 def cons nil cons 11556 def cons nil cons cons 11557 def 416 ref subst 11557 remove 467 ref subst 129 ref "_48108" 2 ref var 11558 def 41 ref 77 ref 1498 ref 11558 remove varTerm 11559 def appTerm appTerm appTerm 11552 ref 41 ref 77 ref 42 ref 11559 ref appTerm 11103 ref appTerm appTerm appTerm 129 ref 129 ref 1798 ref 11559 ref appTerm appTerm 11103 ref appTerm appTerm 1537 ref 1486 ref 11559 remove appTerm 11103 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11560 def 10162 ref appTerm 11561 def appTerm refl 11562 def 11560 ref 1407 ref appTerm betaConv appThm 439 ref 11561 remove betaConv appThm 11563 def 41 ref 77 ref 3983 remove appTerm appTerm 11564 def 11552 ref 11552 ref 129 ref 11266 remove appTerm 1537 ref 1537 ref 11103 ref appTerm 11565 def appTerm appTerm appTerm appTerm appTerm 11566 def refl appThm trans 11560 remove refl 11567 def 11269 ref appThm eqMp sym nil 11273 ref 400 ref 11566 remove nil cons 11568 def cons nil cons 11569 def cons nil cons cons 11570 def 416 ref subst 11570 remove 467 ref subst 129 ref "_48124" 2 ref var 11571 def 11564 ref 41 ref 77 ref 1498 ref 11571 remove varTerm 11572 def appTerm appTerm appTerm 11573 def 11573 remove 129 ref 11265 ref 11572 ref appTerm appTerm 1537 ref 1537 ref 11572 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11574 def 11103 ref appTerm 11575 def appTerm refl 11576 def 11574 ref 1407 ref appTerm betaConv appThm 439 ref 11575 remove betaConv appThm 11577 def 11564 ref 11564 ref 11564 ref 129 ref 11285 remove appTerm 1537 ref 1537 ref 1407 ref appTerm 11578 def appTerm appTerm appTerm appTerm appTerm refl appThm trans 11574 remove refl 11579 def 11289 ref appThm eqMp sym 165 ref 620 ref 4008 ref appThm 1507 ref trans appThm 11580 def 11580 ref 11580 ref 439 ref 11294 remove appThm nil 150 ref 11578 ref nil cons cons nil cons nil cons cons 11581 def 1541 ref subst 11300 ref trans appThm 1803 ref trans appThm 4009 ref trans appThm 4009 ref trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 11301 ref 437 ref 11568 ref cons nil cons 11582 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11305 ref 11569 remove cons nil cons cons 11583 def 416 ref subst 11583 remove 467 ref subst 11576 remove "_48122" 2 ref var 11584 def 11564 ref 41 ref 77 ref 1498 ref 11584 remove varTerm 11585 def appTerm appTerm appTerm 11586 def 11586 remove 129 ref 11265 remove 11585 ref appTerm appTerm 1537 ref 1537 ref 11585 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11577 remove 11564 ref 41 ref 77 ref 4018 remove appTerm appTerm 11587 def 11587 ref 129 ref 11311 remove appTerm 1537 ref 1537 ref 140 ref appTerm 11588 def appTerm appTerm appTerm appTerm appTerm refl appThm trans 11579 remove 11314 ref appThm eqMp sym 11580 ref 165 ref 620 ref 4059 ref appThm 1507 ref trans appThm 11589 def 11589 ref 439 ref 11321 remove appThm nil 150 ref 11588 ref nil cons cons nil cons nil cons cons 11590 def 1541 ref subst 11371 ref trans appThm 1523 ref trans appThm 4009 ref trans appThm 4009 ref trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 11323 ref 11582 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11325 ref nil 11323 ref 11326 ref 1553 ref 11568 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 11327 ref 437 ref 11555 ref cons nil cons 11591 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11331 ref 11556 remove cons nil cons cons 11592 def 416 ref subst 11592 remove 467 ref subst 11562 remove "_48106" 2 ref var 11593 def 41 ref 77 ref 1498 ref 11593 remove varTerm 11594 def appTerm appTerm appTerm 11552 ref 41 ref 77 ref 42 ref 11594 ref appTerm 11103 ref appTerm appTerm appTerm 129 ref 129 ref 1798 ref 11594 ref appTerm appTerm 11103 ref appTerm appTerm 1537 ref 1486 ref 11594 remove appTerm 11103 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11563 remove 11587 ref 11552 ref 41 ref 77 ref 11338 remove appTerm appTerm 11595 def 129 ref 11337 remove appTerm 1537 ref 1513 ref 11103 ref appTerm 11596 def appTerm appTerm appTerm appTerm appTerm 11597 def refl appThm trans 11567 remove 11340 ref appThm eqMp sym nil 11273 ref 400 ref 11597 remove nil cons 11598 def cons nil cons 11599 def cons nil cons cons 11600 def 416 ref subst 11600 remove 467 ref subst 129 ref "_48120" 2 ref var 11601 def 11587 ref 41 ref 77 ref 1498 ref 11601 remove varTerm 11602 def appTerm appTerm appTerm 41 ref 77 ref 629 ref 11602 ref appTerm appTerm appTerm 129 ref 11336 ref 11602 ref appTerm appTerm 1537 ref 1513 ref 11602 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11603 def 11103 ref appTerm 11604 def appTerm refl 11605 def 11603 ref 1407 ref appTerm betaConv appThm 439 ref 11604 remove betaConv appThm 11606 def 11587 ref 11564 ref 41 ref 77 ref 4053 remove appTerm appTerm 11607 def 129 ref 11351 remove appTerm 1537 ref 1513 ref 1407 ref appTerm 11608 def appTerm appTerm appTerm appTerm appTerm refl appThm trans 11603 remove refl 11609 def 11289 ref appThm eqMp sym 11589 ref 11580 ref 165 ref 620 ref 4110 remove appThm 1507 ref trans appThm 11610 def 439 ref 11358 remove appThm nil 150 ref 11608 ref nil cons cons nil cons nil cons cons 11611 def 1541 ref subst 11431 ref trans appThm 1523 ref trans appThm 4009 ref trans appThm 4009 ref trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 11301 ref 437 ref 11598 ref cons nil cons 11612 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11305 ref 11599 remove cons nil cons cons 11613 def 416 ref subst 11613 remove 467 ref subst 11605 remove "_48118" 2 ref var 11614 def 11587 ref 41 ref 77 ref 1498 ref 11614 remove varTerm 11615 def appTerm appTerm appTerm 41 ref 77 ref 629 ref 11615 ref appTerm appTerm appTerm 129 ref 11336 remove 11615 ref appTerm appTerm 1537 ref 1513 ref 11615 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11606 remove 11587 ref 11587 ref 41 ref 77 ref 4065 remove appTerm appTerm 11616 def 129 ref 11365 remove appTerm 1537 ref 1513 ref 140 ref appTerm 11617 def appTerm appTerm appTerm appTerm appTerm refl appThm trans 11609 remove 11314 ref appThm eqMp sym 11589 ref 11589 ref 165 ref 620 ref 634 ref appThm 1535 ref trans appThm 11618 def 439 ref 11370 remove appThm nil 150 ref 11617 ref nil cons cons nil cons nil cons cons 11619 def 1541 ref subst 11466 remove trans appThm 4056 ref trans appThm 6654 ref trans appThm 4009 ref trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 11323 ref 11612 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11325 ref nil 11323 ref 11326 ref 1553 ref 11598 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 11373 ref 11591 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11375 ref nil 11373 ref 11376 ref 1553 ref 11555 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 11377 remove 437 ref 11542 ref cons nil cons 11620 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11381 remove 11543 remove cons nil cons cons 11621 def 416 ref subst 11621 remove 467 ref subst 11550 remove "_48098" 2 ref var 11622 def 41 ref 77 ref 42 ref 11622 remove varTerm 11623 def appTerm 11624 def 10162 ref appTerm appTerm appTerm 41 ref 77 ref 11624 remove 11103 ref appTerm appTerm appTerm 11539 ref 129 ref 129 ref 129 ref 11623 ref appTerm 10162 ref appTerm appTerm 11103 ref appTerm appTerm 1486 ref 11623 remove appTerm 11536 ref appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11551 remove 41 ref 77 ref 11387 remove appTerm appTerm 11595 ref 11539 remove 129 ref 11386 remove appTerm 1513 ref 11536 remove appTerm appTerm appTerm appTerm appTerm 11625 def refl appThm trans 11554 remove 11390 remove appThm eqMp sym nil 11254 remove 400 ref 11625 remove nil cons 11626 def cons nil cons 11627 def cons nil cons cons 11628 def 416 ref subst 11628 remove 467 ref subst 129 ref "_48104" 2 ref var 11629 def 41 ref 77 ref 629 ref 11629 remove varTerm 11630 def appTerm appTerm appTerm 11595 ref 41 ref 77 ref 42 ref 11630 ref appTerm 11103 ref appTerm appTerm appTerm 129 ref 129 ref 1518 ref 11630 ref appTerm appTerm 11103 ref appTerm appTerm 1513 ref 1486 ref 11630 remove appTerm 11103 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11631 def 10162 remove appTerm 11632 def appTerm refl 11633 def 11631 ref 1407 ref appTerm betaConv appThm 439 ref 11632 remove betaConv appThm 11634 def 11607 ref 11595 ref 11552 remove 129 ref 11401 remove appTerm 1513 ref 11565 remove appTerm appTerm appTerm appTerm appTerm 11635 def refl appThm trans 11631 remove refl 11636 def 11269 remove appThm eqMp sym nil 11273 ref 400 ref 11635 remove nil cons 11637 def cons nil cons 11638 def cons nil cons cons 11639 def 416 ref subst 11639 remove 467 ref subst 129 ref "_48116" 2 ref var 11640 def 11607 ref 41 ref 77 ref 629 ref 11640 remove varTerm 11641 def appTerm appTerm appTerm 41 ref 77 ref 1498 ref 11641 ref appTerm appTerm appTerm 129 ref 11400 ref 11641 ref appTerm appTerm 1513 ref 1537 ref 11641 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11642 def 11103 ref appTerm 11643 def appTerm refl 11644 def 11642 ref 1407 ref appTerm betaConv appThm 439 ref 11643 remove betaConv appThm 11645 def 11607 ref 11607 ref 11564 remove 129 ref 11413 remove appTerm 1513 ref 11578 remove appTerm appTerm appTerm appTerm appTerm refl appThm trans 11642 remove refl 11646 def 11289 ref appThm eqMp sym 11610 ref 11610 ref 11580 remove 439 ref 11419 remove appThm 11581 remove 1517 ref subst appThm 1523 ref trans appThm 4009 ref trans appThm 4009 ref trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 11301 ref 437 ref 11637 ref cons nil cons 11647 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11305 ref 11638 remove cons nil cons cons 11648 def 416 ref subst 11648 remove 467 ref subst 11644 remove "_48114" 2 ref var 11649 def 11607 ref 41 ref 77 ref 629 ref 11649 remove varTerm 11650 def appTerm appTerm appTerm 41 ref 77 ref 1498 ref 11650 ref appTerm appTerm appTerm 129 ref 11400 remove 11650 ref appTerm appTerm 1513 ref 1537 ref 11650 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11645 remove 11607 ref 11616 ref 11587 remove 129 ref 11425 remove appTerm 1513 ref 11588 remove appTerm appTerm appTerm appTerm appTerm refl appThm trans 11646 remove 11314 ref appThm eqMp sym 11610 ref 11618 ref 11589 remove 439 ref 11429 remove appThm 11590 remove 1517 ref subst appThm 4056 ref trans appThm 1797 ref 614 ref subst 11651 def trans appThm 6654 ref trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 11323 ref 11647 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11325 ref nil 11323 ref 11326 ref 1553 ref 11637 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 11327 remove 437 ref 11626 ref cons nil cons 11652 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11331 remove 11627 remove cons nil cons cons 11653 def 416 ref subst 11653 remove 467 ref subst 11633 remove "_48102" 2 ref var 11654 def 41 ref 77 ref 629 ref 11654 remove varTerm 11655 def appTerm appTerm appTerm 11595 ref 41 ref 77 ref 42 ref 11655 ref appTerm 11103 ref appTerm appTerm appTerm 129 ref 129 ref 1518 ref 11655 ref appTerm appTerm 11103 ref appTerm appTerm 1513 ref 1486 ref 11655 remove appTerm 11103 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11634 remove 11616 ref 11595 ref 11595 remove 129 ref 11437 remove appTerm 1513 ref 11596 remove appTerm appTerm appTerm appTerm appTerm 11656 def refl appThm trans 11636 remove 11340 remove appThm eqMp sym nil 11273 remove 400 ref 11656 remove nil cons 11657 def cons nil cons 11658 def cons nil cons cons 11659 def 416 ref subst 11659 remove 467 ref subst 129 ref "_48112" 2 ref var 11660 def 11616 ref 41 ref 77 ref 629 ref 11660 remove varTerm 11661 def appTerm appTerm appTerm 11662 def 11662 remove 129 ref 11436 ref 11661 ref appTerm appTerm 1513 ref 1513 ref 11661 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11663 def 11103 remove appTerm 11664 def appTerm refl 11665 def 11663 ref 1407 ref appTerm betaConv appThm 439 ref 11664 remove betaConv appThm 11666 def 11616 ref 11607 ref 11607 remove 129 ref 11449 remove appTerm 1513 ref 11608 remove appTerm appTerm appTerm appTerm appTerm refl appThm trans 11663 remove refl 11667 def 11289 remove appThm eqMp sym 11618 ref 11610 ref 11610 remove 439 ref 11455 remove appThm 11611 remove 1517 ref subst appThm 4056 remove trans appThm 11651 ref trans appThm 11651 remove trans appThm 6654 ref trans sym 154 ref eqMp eqMp eqMp nil 11301 remove 437 ref 11657 ref cons nil cons 11668 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 11305 remove 11658 remove cons nil cons cons 11669 def 416 ref subst 11669 remove 467 ref subst 11665 remove "_48110" 2 ref var 11670 def 11616 ref 41 ref 77 ref 629 ref 11670 remove varTerm 11671 def appTerm appTerm appTerm 11672 def 11672 remove 129 ref 11436 remove 11671 ref appTerm appTerm 1513 ref 1513 ref 11671 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 11666 remove 11616 ref 11616 ref 11616 remove 129 ref 11461 remove appTerm 1513 ref 11617 remove appTerm appTerm appTerm appTerm appTerm refl appThm trans 11667 remove 11314 remove appThm eqMp sym 11618 ref 11618 ref 11618 remove 439 ref 11465 remove appThm 11619 remove 1517 ref subst appThm 1523 ref trans appThm 628 remove 1865 ref subst 11673 def trans appThm 11673 ref trans appThm 11673 remove trans sym 154 ref eqMp eqMp eqMp nil 11323 ref 11668 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11325 remove nil 11323 remove 11326 remove 1553 ref 11657 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 11373 ref 11652 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11375 remove nil 11373 remove 11376 remove 1553 ref 11626 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 11468 ref 11620 remove cons nil cons cons 451 ref subst deductAntisym eqMp 11470 remove nil 11468 remove 11471 remove 1553 ref 11542 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp 129 ref "_48096" 2 ref var 11674 def 41 ref 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 11154 ref 2800 ref 2828 ref 11674 remove varTerm appTerm appTerm 5284 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 11675 def 11225 remove appTerm 11676 def appTerm refl 11675 ref 11537 ref appTerm betaConv 11677 def appThm 439 ref 11676 remove betaConv appThm 41 ref 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 11154 ref 2800 ref 2828 ref 11537 ref appTerm appTerm 5284 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm 11678 def refl 11679 def appThm trans 11675 remove refl 11680 def 11538 remove assume appThm eqMp sym 38 ref 41 ref 5184 ref appTerm 11681 def 129 ref 44 ref 5037 ref appTerm 11682 def 47 ref appTerm appTerm 1486 ref 10592 remove 47 ref appTerm appTerm 11683 def 1486 ref 10453 remove appTerm 11684 def 11084 remove appTerm appTerm 11685 def appTerm appTerm absTerm 11686 def 6952 ref appTerm 11687 def betaConv 3843 ref 17 ref 38 ref 41 ref 5183 remove 3844 ref appTerm appTerm 3846 ref 11685 remove appTerm appTerm absTerm appTerm absTerm 11688 def 5037 ref appTerm 11689 def betaConv 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 5182 remove 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 11683 ref 11684 remove 583 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 11690 def 5178 remove appTerm 11691 def betaConv 460 ref 34 ref 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 5181 remove 589 ref appTerm 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 11683 remove 3851 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11692 def 5109 remove appTerm 11693 def betaConv 2690 ref 34 ref 460 ref 34 ref 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 5180 remove 2694 remove appTerm 589 ref appTerm 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 1486 ref 2842 remove appTerm 3851 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11694 def 5077 remove appTerm 11695 def betaConv nil 34 ref 11694 ref appTerm 11696 def axiom nil 399 ref 11696 remove nil cons cons 400 ref 11695 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 11694 remove nil cons cons 460 ref 10572 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 11692 ref appTerm nil cons cons 400 ref 11693 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 11692 remove nil cons cons 10460 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 11690 ref appTerm nil cons cons 400 ref 11691 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 11690 remove nil cons cons 11101 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 11688 ref appTerm nil cons cons 400 ref 11689 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 11688 remove nil cons cons 460 ref 5037 ref nil cons 11697 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 11686 ref appTerm nil cons cons 400 ref 11687 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 11686 remove nil cons cons 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11681 remove 129 ref 11682 remove 6952 ref appTerm 11698 def appTerm 11537 ref appTerm 11699 def appTerm nil cons cons 400 ref 11678 remove nil cons 11700 def cons nil cons 11701 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7305 remove cons nil cons nil cons cons 155 ref subst 5184 remove assume eqMp appThm 11699 ref refl appThm nil 150 ref 11699 ref nil cons 11702 def cons nil cons nil cons cons 614 ref subst trans appThm 11679 remove appThm sym nil 399 ref 11702 ref cons 11701 remove cons nil cons cons 11703 def 416 ref subst 11703 remove 467 ref subst 129 ref "_48126" 2 ref var 11704 def 41 ref 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 11154 ref 2800 ref 2828 ref 11704 remove varTerm appTerm appTerm 5284 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm 1009 ref appTerm appTerm 9514 ref appTerm absTerm 11705 def 11537 remove appTerm appTerm refl 11705 remove 11698 ref appTerm betaConv appThm 439 ref 11677 remove appThm 41 ref 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 11154 ref 2800 ref 2828 ref 11698 remove appTerm 11706 def appTerm 11707 def 5284 ref appTerm 11708 def appTerm 11709 def appTerm 11710 def appTerm 11711 def appTerm 11712 def appTerm 11713 def appTerm 1009 ref appTerm 11714 def appTerm 9514 remove appTerm refl appThm trans 11680 remove 11699 remove assume sym appThm eqMp sym nil 399 ref 11714 ref nil cons 11715 def cons 9659 remove cons nil cons cons 11716 def 416 ref subst 11716 remove 467 ref subst 129 ref "_48128" 14 ref var 11717 def 9513 ref 11717 remove varTerm appTerm absTerm 11718 def 1009 ref appTerm 11719 def appTerm refl 11718 ref 11713 ref appTerm betaConv appThm 439 ref 11719 remove betaConv appThm 9513 remove 11713 ref appTerm refl appThm trans 11718 remove refl 11714 remove assume sym appThm eqMp sym nil 500 remove 2661 ref 2662 ref 5018 ref appTerm 2662 ref 5022 ref appTerm 2663 ref 5024 ref appTerm 11720 def appTerm 11721 def appTerm 11722 def nil cons cons nil cons cons nil cons cons 2684 ref subst 5017 ref refl 5292 remove assume appThm 11722 ref refl appThm trans sym 10636 remove 129 ref "_48132" 14 ref var 11723 def 5017 ref 11723 remove varTerm appTerm 11722 ref appTerm absTerm 11724 def 5284 ref appTerm 11725 def appTerm refl 11724 ref 10641 ref appTerm betaConv appThm 439 ref 11725 remove betaConv appThm 5017 remove 10641 remove appTerm 11722 ref appTerm 11726 def refl appThm trans 11724 remove refl 10643 remove appThm eqMp sym 625 ref nil 150 ref 7201 remove cons nil cons nil cons cons 155 ref subst 5019 remove assume 11727 def eqMp appThm 5016 ref refl 10646 remove appThm 10647 remove appThm 11721 ref refl appThm appThm nil 150 ref 5021 remove 10574 ref appTerm 11721 ref appTerm nil cons 11728 def cons nil cons nil cons cons 633 ref subst trans sym 625 ref nil 150 ref 7203 remove cons nil cons nil cons cons 155 ref subst 5308 remove assume 11729 def eqMp appThm nil 2690 ref 11100 remove cons 11730 def 10651 remove 501 ref cons cons nil cons cons 2711 ref subst 5023 ref refl 10652 remove appThm 5024 ref refl appThm trans appThm nil 150 ref 5023 ref 10655 ref appTerm 5024 ref appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym 10660 ref 129 ref "_48134" 14 ref var 11731 def 5023 remove 11731 remove varTerm appTerm 5024 remove appTerm absTerm 11732 def 10655 ref appTerm 11733 def appTerm refl 11732 ref 5277 ref appTerm betaConv appThm 439 ref 11733 remove betaConv appThm 5310 ref refl appThm trans 11732 remove refl 10664 ref appThm eqMp sym 5310 remove assume eqMp proveHyp eqMp nil 399 ref 5309 remove 5016 ref 10650 remove appTerm 192 ref appTerm 11720 ref appTerm appTerm nil cons cons 400 ref 11728 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 11720 remove nil cons 11734 def cons 2661 ref 11057 remove cons 11735 def 1237 ref 10581 ref 9566 ref 501 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 5020 remove 5016 ref 10667 remove appTerm 10574 ref appTerm 11721 ref appTerm appTerm nil cons cons 400 ref 11726 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 11721 remove nil cons 11736 def cons 2661 ref 11000 remove cons 11737 def 10671 ref 10672 remove 2720 ref 501 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp proveHyp eqMp 129 ref "_48130" 8 ref var 11738 def 180 ref 187 ref 726 ref 728 ref 11738 remove varTerm appTerm 6952 ref appTerm appTerm appTerm 9512 ref appTerm appTerm 11713 ref appTerm absTerm 11739 def 74 ref appTerm 11740 def appTerm refl 11739 ref 11722 ref appTerm betaConv appThm 439 ref 11740 remove betaConv appThm 180 ref 187 ref 726 ref 728 ref 11722 ref appTerm 6952 ref appTerm appTerm appTerm 11741 def 9512 remove appTerm appTerm 11713 ref appTerm refl appThm trans 11739 remove refl 2666 ref 11722 remove appTerm 74 ref appTerm assume sym appThm eqMp sym nil 503 remove 2661 ref 2662 ref 5028 ref appTerm 2662 ref 2663 ref 5032 ref appTerm 11742 def appTerm 2662 remove 5036 ref appTerm 2663 remove 5037 ref appTerm 11743 def appTerm 11744 def appTerm 11745 def appTerm 11746 def nil cons cons nil cons cons nil cons cons 2684 remove subst 5026 ref refl 5293 remove assume appThm 11746 ref refl appThm trans sym 10025 remove nil 1116 ref 2714 ref 10574 ref appTerm 11747 def nil cons 11748 def cons 8334 ref cons nil cons cons 1169 ref subst 1229 ref 10629 remove appThm trans appThm 10634 remove trans sym 10635 remove eqMp 129 ref "_48138" 14 ref var 11749 def 5026 ref 11749 remove varTerm appTerm 11746 ref appTerm absTerm 11750 def 5284 ref appTerm 11751 def appTerm refl 11750 ref 8880 ref 11747 ref appTerm 11752 def appTerm betaConv appThm 439 ref 11751 remove betaConv appThm 5026 remove 11752 ref appTerm 11746 ref appTerm 11753 def refl appThm trans 11750 remove refl 10024 remove 11752 remove appTerm assume appThm eqMp sym 625 ref nil 150 ref 7206 remove cons nil cons nil cons cons 155 ref subst 5029 remove assume 11754 def eqMp appThm 5025 ref refl 11755 def 9680 remove appThm 11747 ref refl appThm 11745 ref refl appThm appThm nil 150 ref 5025 ref 5027 ref appTerm 11756 def 11747 ref appTerm 11745 ref appTerm nil cons 11757 def cons nil cons nil cons cons 633 ref subst trans sym 625 ref nil 2690 ref 5032 ref nil cons 11758 def cons 11759 def 707 ref 8331 remove cons 504 ref cons cons nil cons cons 2711 ref subst nil 150 ref 7208 remove cons nil cons nil cons cons 155 ref subst 5033 remove assume eqMp trans appThm 5025 ref 9635 ref appTerm 11760 def 10574 remove appTerm 11744 ref appTerm 11761 def refl appThm nil 150 ref 11761 ref nil cons 11762 def cons nil cons nil cons cons 633 ref subst trans sym 625 ref 11755 remove 9480 ref appThm 5287 ref refl appThm 5036 ref refl appThm nil 150 ref 7210 remove cons nil cons nil cons cons 155 ref subst 5311 remove assume 11763 def eqMp trans appThm nil 2690 remove 11697 remove cons 11764 def 707 ref 187 ref 9635 ref appTerm 5287 ref appTerm 11765 def nil cons cons 504 ref cons cons nil cons cons 2711 remove subst 5031 ref refl nil 10285 ref 1237 ref 8794 ref cons cons nil cons cons 1169 ref subst nil 1116 ref 10656 remove cons 8334 ref cons nil cons cons 1169 ref subst trans appThm 5037 ref refl appThm trans appThm nil 150 ref 5031 ref 10655 ref appTerm 5037 ref appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym 10660 remove 129 ref "_48140" 14 ref var 11766 def 5031 remove 11766 remove varTerm appTerm 5037 remove appTerm absTerm 11767 def 10655 remove appTerm 11768 def appTerm refl 11767 ref 5277 ref appTerm betaConv appThm 439 ref 11768 remove betaConv appThm 5312 ref refl appThm trans 11767 remove refl 10664 remove appThm eqMp sym 5312 remove assume eqMp proveHyp eqMp nil 399 ref 42 ref 11760 remove 5287 ref appTerm 5036 ref appTerm appTerm 5025 ref 11765 remove appTerm 192 ref appTerm 11743 ref appTerm appTerm nil cons cons 400 ref 11762 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 11743 remove nil cons 11769 def cons 2661 ref 11059 remove cons 11770 def 1237 ref 10581 remove 695 ref 10793 remove cons 504 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 42 ref 11756 remove 192 ref appTerm 11742 ref appTerm appTerm 11761 remove appTerm nil cons cons 400 ref 11757 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 11744 remove nil cons 11771 def cons 2661 ref 11742 remove nil cons 11772 def cons 10671 remove 2719 ref 9225 remove 504 ref cons cons cons cons cons nil cons cons 2776 ref subst eqMp eqMp nil 399 ref 5030 remove 5025 ref 9681 remove appTerm 11747 remove appTerm 11745 ref appTerm appTerm nil cons cons 400 ref 11753 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 2716 ref 11745 remove nil cons 11773 def cons 2661 ref 11023 remove cons 11774 def 1003 ref 11748 remove cons 8793 remove 2720 remove 504 ref cons cons cons cons cons nil cons cons 2776 remove subst eqMp eqMp proveHyp eqMp 129 ref "_48136" 8 ref var 11775 def 180 ref 11741 ref 2800 ref 726 ref 728 ref 11775 remove varTerm appTerm 6952 ref appTerm appTerm appTerm 192 ref appTerm appTerm appTerm 11713 ref appTerm absTerm 11776 def 75 ref appTerm 11777 def appTerm refl 11776 ref 11746 ref appTerm betaConv appThm 439 ref 11777 remove betaConv appThm 180 ref 11741 remove 2800 ref 726 ref 728 ref 11746 ref appTerm 6952 ref appTerm appTerm appTerm 192 ref appTerm appTerm appTerm 11713 ref appTerm refl appThm trans 11776 remove refl 2666 remove 11746 remove appTerm 75 ref appTerm assume sym appThm eqMp sym 1131 ref 1368 ref nil 9692 ref 2661 ref 11736 remove cons 11001 remove cons cons nil cons cons 2813 ref subst 11115 ref 4254 ref nil 9692 ref 2661 ref 11734 remove cons 11058 remove cons cons nil cons cons 2813 ref subst 11062 remove refl 4254 ref nil 9692 ref 11730 remove nil cons cons nil cons cons 2849 ref subst appThm 181 ref 5022 ref appTerm 11778 def refl appThm appThm trans appThm 181 ref 5018 ref appTerm 11779 def refl appThm nil 695 ref 11779 ref nil cons 11780 def cons 4223 ref 11129 ref 11778 ref appTerm nil cons cons 11117 remove cons cons nil cons cons 4243 ref subst 187 ref 11118 ref 11779 ref appTerm 11781 def appTerm 11782 def refl nil 4256 ref 11780 remove cons 4257 ref 11778 ref nil cons cons 1003 ref 11128 remove cons nil cons cons cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm 4254 ref nil 9692 ref 2661 ref 11773 remove cons 11024 remove cons cons nil cons cons 2813 ref subst 187 ref 11034 ref appTerm refl 4254 ref nil 9692 ref 2661 ref 11771 remove cons 470 ref 11772 remove cons nil cons cons cons nil cons cons 2813 ref subst 1368 ref nil 9692 ref 11759 remove nil cons 11783 def cons nil cons cons 2849 ref subst appThm 4254 ref nil 9692 ref 2661 ref 11769 remove cons 11060 remove cons cons nil cons cons 2813 remove subst 187 ref 11063 remove appTerm refl 4254 ref nil 9692 ref 11764 remove nil cons cons nil cons cons 2849 remove subst appThm 181 ref 5036 ref appTerm 11784 def refl appThm appThm trans appThm nil 11783 remove nil cons cons 2853 remove subst appThm nil 4175 ref 4223 ref 11707 ref 11784 ref appTerm nil cons cons 4224 ref 11122 remove cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 11125 ref 192 ref appTerm 11785 def appTerm 11786 def refl nil 4294 ref 4257 ref 11784 ref nil cons 11787 def cons 1003 ref 11706 remove nil cons cons nil cons 11788 def cons cons nil cons cons 4281 ref subst appThm trans trans appThm trans appThm 181 ref 5028 ref appTerm 11789 def refl appThm nil 695 ref 11789 ref nil cons 11790 def cons 11791 def 4223 ref 11786 remove 11707 ref 187 ref 11784 ref appTerm 11792 def 192 ref appTerm 11793 def appTerm 11794 def appTerm nil cons cons 4224 ref 2828 ref 44 ref 5032 ref appTerm 11795 def 6952 ref appTerm 11796 def appTerm 11797 def nil cons 11798 def cons nil cons cons cons nil cons cons 4243 ref subst 187 ref 2800 ref 11797 remove appTerm 11799 def 11789 ref appTerm 11800 def appTerm 11801 def refl nil 11791 remove 4223 ref 11794 remove nil cons cons 4224 ref 11785 remove nil cons cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref nil 4256 remove 11790 ref cons 11802 def 11124 remove cons nil cons cons 4281 ref subst appThm nil 11802 remove 4257 ref 11793 remove nil cons cons 11788 ref cons cons nil cons cons 4281 ref subst 11707 ref refl 11803 def nil 1116 ref 11790 ref cons 1237 ref 1006 ref 11787 remove cons nil cons 11804 def cons cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans trans appThm trans appThm 2100 ref appThm nil 4175 ref 4223 ref 11801 remove 187 ref 11125 ref 2714 ref 11789 ref appTerm 11805 def appTerm 11806 def appTerm 11707 ref 11792 ref 11805 ref appTerm 11807 def appTerm 11808 def appTerm 11809 def appTerm nil cons cons 4224 ref 11034 remove nil cons cons nil cons cons cons nil cons cons 4243 ref subst 11116 ref nil 4175 ref 4223 ref 11809 remove nil cons cons 4224 ref 11800 remove nil cons cons nil cons cons cons nil cons cons 4243 ref subst 1368 ref nil 4294 ref 4257 ref 11790 ref cons 1003 ref 11798 remove cons nil cons cons cons nil cons cons 4281 ref subst appThm nil 4175 remove 4223 remove 11808 remove nil cons cons 4224 remove 11806 remove nil cons cons nil cons cons cons nil cons cons 4243 remove subst 1368 ref nil 4294 ref 4257 ref 11805 remove nil cons 11810 def cons 11123 remove cons cons nil cons cons 4281 ref subst 11126 ref nil 2073 ref 1003 ref 11790 remove cons 4159 ref cons cons nil cons cons 1169 ref subst 11811 def appThm trans appThm nil 4294 remove 4257 remove 11807 remove nil cons cons 11788 remove cons cons nil cons cons 4281 remove subst 11803 ref nil 2073 ref 1003 ref 11810 remove cons 11804 remove cons cons nil cons cons 1169 ref subst 11792 ref refl 11811 remove appThm trans appThm trans appThm trans appThm trans appThm trans trans appThm nil 1116 ref 11036 ref 187 ref 11799 ref 187 ref 11789 ref appTerm 192 ref appTerm 11812 def appTerm appTerm 187 ref 11125 ref 2714 ref 11812 remove appTerm 11813 def appTerm appTerm 11707 ref 11792 ref 11813 remove appTerm appTerm appTerm appTerm appTerm 11814 def nil cons cons 11815 def 1003 ref 11782 remove 11129 ref 187 ref 11778 ref appTerm 11816 def 11779 ref appTerm appTerm 11817 def appTerm nil cons cons 11161 ref cons cons nil cons cons 1169 ref subst 11115 ref nil 11815 remove 1003 ref 11817 remove nil cons cons 1006 ref 11781 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst appThm trans trans appThm 11713 ref refl 11818 def appThm sym 470 ref 167 ref 695 ref 10698 remove 5018 ref appTerm absTerm appTerm absTerm 11819 def 74 ref appTerm betaConv sym 695 ref 5016 remove 710 ref appTerm 11820 def 4991 ref appTerm 5018 remove appTerm absTerm 11821 def 191 ref appTerm betaConv sym 11727 remove eqMp 162 ref 160 ref 11821 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 11819 ref nil cons cons 501 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 11819 remove appTerm nil cons cons 400 ref 180 ref 11779 ref appTerm 4991 ref appTerm 11822 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 10645 ref 11737 remove nil cons cons nil cons cons 3819 ref subst eqMp 129 ref "_48142" 14 ref var 11823 def 180 ref 11012 ref 187 ref 11118 remove 11823 remove varTerm 11824 def appTerm appTerm 187 ref 11129 ref 11816 ref 11824 remove appTerm appTerm appTerm 11814 ref appTerm appTerm appTerm appTerm 11713 ref appTerm absTerm 11825 def 11779 remove appTerm 11826 def appTerm refl 11825 ref 4991 ref appTerm betaConv appThm 439 ref 11826 remove betaConv appThm 180 ref 11012 ref 11120 ref 187 ref 11129 ref 11816 remove 4991 ref appTerm appTerm appTerm 11814 ref appTerm appTerm appTerm appTerm 11713 ref appTerm refl appThm trans 11825 remove refl 11822 remove assume appThm eqMp sym 470 ref 167 ref 695 ref 10611 ref 5022 ref appTerm absTerm appTerm absTerm 11827 def 74 ref appTerm betaConv sym 695 ref 11820 remove 5287 ref appTerm 5022 remove appTerm absTerm 11828 def 4991 ref appTerm betaConv sym 11729 remove eqMp 162 ref 160 ref 11828 remove nil cons cons 10711 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 11827 ref nil cons cons 501 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 11827 remove appTerm nil cons cons 400 ref 180 ref 11778 ref appTerm 5287 ref appTerm 11829 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 9819 ref 11735 remove nil cons cons nil cons cons 3819 ref subst eqMp 129 ref "_48144" 14 ref var 11830 def 180 ref 11012 ref 11120 ref 187 ref 11129 ref 187 ref 11830 remove varTerm appTerm 4991 ref appTerm appTerm appTerm 11814 ref appTerm appTerm appTerm appTerm 11713 ref appTerm absTerm 11831 def 11778 remove appTerm 11832 def appTerm refl 11831 ref 5287 ref appTerm betaConv appThm 439 ref 11832 remove betaConv appThm 180 ref 11012 ref 11120 ref 187 ref 11129 ref 10716 remove appTerm appTerm 11833 def 11814 remove appTerm appTerm appTerm appTerm 11713 ref appTerm refl appThm trans 11831 remove refl 11829 remove assume appThm eqMp sym 470 ref 167 ref 695 ref 8593 remove 5028 ref appTerm absTerm appTerm absTerm 11834 def 75 ref appTerm betaConv sym 695 ref 5025 remove 710 ref appTerm 11835 def 5027 ref appTerm 5028 remove appTerm absTerm 11836 def 191 ref appTerm betaConv sym 11754 remove eqMp 162 ref 160 ref 11836 remove nil cons cons 1276 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 11834 ref nil cons cons 504 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 11834 remove appTerm nil cons cons 400 ref 180 ref 11789 ref appTerm 5027 ref appTerm 11837 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 8332 remove 11774 remove nil cons cons nil cons cons 3819 ref subst eqMp 129 ref "_48146" 14 ref var 11838 def 180 ref 11012 ref 11120 ref 11833 ref 11036 ref 187 ref 11799 ref 187 ref 11838 remove varTerm appTerm 192 ref appTerm 11839 def appTerm appTerm 187 ref 11125 ref 2714 ref 11839 remove appTerm 11840 def appTerm appTerm 11707 ref 11792 ref 11840 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 11713 ref appTerm absTerm 11841 def 11789 remove appTerm 11842 def appTerm refl 11841 ref 5027 remove appTerm betaConv appThm 439 ref 11842 remove betaConv appThm 180 ref 11012 ref 11120 ref 11833 ref 11036 ref 187 ref 11799 ref 9635 ref appTerm appTerm 11843 def 187 ref 11125 ref 2714 ref 9635 remove appTerm 11844 def appTerm appTerm 11845 def 11707 ref 11792 remove 11844 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 11713 ref appTerm refl appThm trans 11841 remove refl 11837 remove assume appThm eqMp sym 470 ref 167 ref 695 ref 10611 remove 5036 ref appTerm absTerm appTerm absTerm 11846 def 75 ref appTerm betaConv sym 695 ref 11835 remove 5287 ref appTerm 5036 remove appTerm absTerm 11847 def 4991 ref appTerm betaConv sym 11763 remove eqMp 162 ref 160 ref 11847 remove nil cons cons 10711 remove cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 11846 ref nil cons cons 504 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 172 ref 11846 remove appTerm nil cons cons 400 ref 180 ref 11784 ref appTerm 5287 ref appTerm 11848 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 9819 ref 11770 remove nil cons cons nil cons cons 3819 remove subst eqMp 129 ref "_48148" 14 ref var 11849 def 180 ref 11012 ref 11120 ref 11833 ref 11036 ref 11843 ref 11845 ref 11707 ref 187 ref 11849 remove varTerm appTerm 11844 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 11713 ref appTerm absTerm 11850 def 11784 remove appTerm 11851 def appTerm refl 11850 ref 5287 ref appTerm betaConv appThm 439 ref 11851 remove betaConv appThm 180 ref 11012 ref 11120 ref 11833 remove 11036 ref 11843 remove 11845 remove 11707 ref 10564 remove 11844 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 11713 ref appTerm refl appThm trans 11850 remove refl 11848 remove assume appThm eqMp sym 1131 ref 11115 remove 11121 remove 1368 ref 11129 ref refl 10622 remove appThm appThm 11116 remove 1368 ref 11799 ref refl 9480 remove appThm appThm 1368 ref 11126 remove 10796 ref appThm appThm 11803 remove nil 1116 ref 11844 remove nil cons cons 9822 ref cons nil cons cons 1169 ref subst 6578 ref 4544 ref 10796 remove appThm appThm trans appThm appThm appThm appThm appThm appThm appThm appThm 11818 remove appThm sym 10798 remove 129 ref "_48150" 14 ref var 11852 def 180 ref 11012 ref 11120 ref 187 ref 11129 remove 11852 remove varTerm appTerm appTerm 11036 ref 187 ref 11799 remove 4991 ref appTerm appTerm 11853 def 187 ref 11125 ref 10674 ref appTerm appTerm 11707 ref 5274 ref 2714 ref 10674 ref appTerm appTerm appTerm appTerm appTerm appTerm 11854 def appTerm appTerm appTerm appTerm 11713 ref appTerm absTerm 11855 def 10675 remove appTerm 11856 def appTerm refl 11855 ref 5277 remove appTerm betaConv appThm 439 ref 11856 remove betaConv appThm 180 ref 11012 ref 11120 ref 11131 ref 11854 remove appTerm appTerm appTerm appTerm 11713 ref appTerm refl appThm trans 11855 remove refl 10808 remove appThm eqMp sym 1131 ref nil 10645 remove 4159 ref cons nil cons cons 1210 ref subst appThm 11148 ref refl appThm sym 11127 remove eqMp 129 ref "_48152" 14 ref var 11857 def 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 11853 ref 187 ref 11125 remove 11857 remove varTerm 11858 def appTerm appTerm 11707 ref 5274 ref 2714 ref 11858 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 11713 ref appTerm absTerm 11859 def 10674 ref appTerm 11860 def appTerm refl 11859 ref 11148 ref appTerm betaConv appThm 439 ref 11860 remove betaConv appThm 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 11853 ref 11154 ref 11707 ref 5274 remove 2714 ref 11148 ref appTerm appTerm 11861 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 11713 ref appTerm refl appThm trans 11859 remove refl 180 ref 10674 remove appTerm 11148 ref appTerm assume appThm eqMp sym 1131 ref nil 1116 ref 11148 remove nil cons 11862 def cons 9822 ref cons nil cons cons 2078 ref subst nil 1003 ref 11862 remove cons 10792 remove cons nil cons cons 1210 ref subst trans appThm 9598 ref appThm sym 1131 ref nil 10285 ref 1003 ref 11147 remove nil cons cons 1227 ref cons cons nil cons cons 1169 ref subst 1229 ref nil 10285 remove 1171 ref 1233 ref cons cons nil cons cons 1169 ref subst appThm trans appThm 9598 remove appThm nil 1116 ref 10631 remove cons 1003 ref 701 ref 1173 ref 5287 remove appTerm 11863 def appTerm nil cons cons 1227 ref cons cons nil cons cons 1192 ref subst nil 9594 remove 1003 ref 11863 remove nil cons cons 1233 ref cons cons nil cons cons 1192 ref subst trans trans sym 1131 ref nil 9819 remove 1215 ref cons nil cons cons 1210 ref subst appThm 5282 remove refl appThm sym nil 1219 ref 9822 remove cons nil cons cons 1169 ref subst 6578 remove 2055 ref appThm trans eqMp eqMp eqMp 129 ref "_48154" 14 ref var 11864 def 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 11853 ref 11154 remove 11707 remove 11864 remove varTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 11713 ref appTerm absTerm 11865 def 11861 ref appTerm 11866 def appTerm refl 11865 ref 5284 ref appTerm betaConv appThm 439 ref 11866 remove betaConv appThm 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 11853 remove 11709 ref appTerm appTerm appTerm appTerm appTerm appTerm 11713 ref appTerm 11867 def refl 11868 def appThm trans 11865 remove refl 180 ref 11861 remove appTerm 5284 remove appTerm assume appThm eqMp sym 38 ref 41 ref 5167 ref appTerm 11869 def 129 ref 11795 remove 47 ref appTerm appTerm 44 ref 5165 ref appTerm 11870 def 47 ref appTerm 11871 def appTerm appTerm absTerm 11872 def 6952 ref appTerm 11873 def betaConv 580 ref 17 ref 38 ref 41 ref 5166 remove 581 ref appTerm appTerm 584 ref 11871 ref appTerm appTerm absTerm appTerm absTerm 11874 def 5032 remove appTerm 11875 def betaConv 592 remove 5165 ref appTerm 11876 def betaConv 595 remove nil 596 remove 400 ref 11876 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 597 remove 460 ref 5165 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 11874 ref appTerm nil cons cons 400 ref 11875 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 11874 remove nil cons cons 460 ref 11758 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 11872 ref appTerm nil cons cons 400 ref 11873 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 11872 remove nil cons cons 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11869 remove 129 ref 11796 ref appTerm 11870 remove 6952 ref appTerm 11877 def appTerm 11878 def appTerm nil cons cons 400 ref 11867 remove nil cons 11879 def cons nil cons 11880 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 7299 remove cons nil cons nil cons cons 155 ref subst 5167 remove assume eqMp appThm 11878 ref refl appThm nil 150 ref 11878 ref nil cons 11881 def cons nil cons nil cons cons 614 ref subst trans appThm 11868 remove appThm sym nil 399 ref 11881 ref cons 11880 remove cons nil cons cons 11882 def 416 ref subst 11882 remove 467 ref subst 129 ref "_48156" 2 ref var 11883 def 180 ref 11012 ref 11120 ref 11131 ref 11036 ref 187 ref 2800 ref 2828 ref 11883 remove varTerm appTerm appTerm 4991 ref appTerm appTerm 11709 ref appTerm appTerm appTerm appTerm appTerm appTerm 11713 ref appTerm absTerm 11884 def 11796 remove appTerm 11885 def appTerm refl 11884 ref 11877 ref appTerm betaConv appThm 439 ref 11885 remove betaConv appThm 180 ref 11012 remove 11120 remove 11131 remove 11036 remove 187 ref 2800 remove 2828 remove 11877 remove appTerm appTerm 4991 remove appTerm appTerm 11709 ref appTerm 11886 def appTerm 11887 def appTerm 11888 def appTerm 11889 def appTerm appTerm 11713 remove appTerm refl appThm trans 11884 remove refl 11878 remove assume appThm eqMp sym nil 1116 ref 11712 remove nil cons cons 1003 ref 11889 remove nil cons cons 11161 remove cons cons nil cons cons 1192 ref subst nil 1116 ref 11711 remove nil cons cons 1003 ref 11888 remove nil cons cons 11153 remove cons cons nil cons cons 1192 ref subst nil 1116 ref 11710 remove nil cons cons 1003 ref 11887 remove nil cons cons 11142 remove cons cons nil cons cons 1192 ref subst nil 1116 ref 11709 ref nil cons 11890 def cons 1003 ref 11886 remove nil cons cons 11164 remove cons cons nil cons cons 1192 ref subst trans trans trans 1131 ref 1368 ref 4254 remove 4005 remove nil 9692 remove nil cons nil cons cons 38 ref 77 ref 11871 ref appTerm 11891 def absTerm 11892 def 47 ref appTerm 11893 def betaConv nil 17 ref 11892 ref appTerm 11894 def axiom nil 399 ref 11894 remove nil cons cons 400 ref 11893 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 11892 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11891 remove nil cons cons 400 ref 129 ref 11871 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 435 ref 11871 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp subst appThm 3248 remove trans appThm 9555 remove appThm nil 9566 remove nil cons nil cons cons 9096 remove subst trans appThm 11709 remove refl 11895 def appThm nil 1003 ref 11890 remove cons nil cons nil cons cons 1264 ref subst trans appThm 11895 remove appThm nil 1116 ref 11708 remove nil cons 11896 def cons 1003 ref 11896 ref cons 11172 remove cons cons nil cons cons 1192 ref subst nil 475 ref 11896 remove cons nil cons nil cons cons 1281 ref subst trans trans trans sym 154 ref eqMp eqMp eqMp nil 435 ref 11881 remove cons 437 ref 11879 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp proveHyp eqMp eqMp proveHyp eqMp proveHyp eqMp proveHyp eqMp proveHyp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp nil 435 ref 11715 remove cons 437 ref 9658 remove cons nil cons 11897 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 11702 remove cons 437 ref 11700 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 11527 remove cons 11897 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp eqMp nil 435 ref 11110 remove cons 437 ref 11108 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 11069 remove cons 437 ref 11067 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 11029 remove cons 437 ref 11027 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 11006 remove cons 437 ref 11004 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp proveHyp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp proveHyp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp proveHyp eqMp proveHyp eqMp proveHyp eqMp proveHyp eqMp eqMp nil 435 ref 9801 remove cons 437 ref 9796 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 9778 remove cons 437 ref 9773 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp proveHyp eqMp nil 435 ref 9657 remove cons 11897 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 9552 remove cons 437 ref 9516 remove cons nil cons 11898 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 9545 remove cons 11898 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 9539 ref 653 ref appTerm appTerm 9515 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 9540 remove appTerm 9515 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9539 remove nil cons cons 11898 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 9534 remove cons 11898 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 9522 ref 653 ref appTerm appTerm 9515 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 9523 remove appTerm 9515 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9522 remove nil cons cons 11898 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 9528 remove cons 11898 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 9524 ref 689 ref appTerm appTerm 9515 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 9525 remove appTerm 9515 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9524 remove nil cons cons 11898 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp proveHyp eqMp eqMp proveHyp eqMp nil 435 ref 9463 remove cons 437 ref 9464 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 9327 remove cons 437 ref 9266 remove cons nil cons 11899 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 9320 remove cons 11899 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 9314 ref 653 ref appTerm appTerm 9265 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 9315 remove appTerm 9265 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9314 remove nil cons cons 11899 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 9309 remove cons 11899 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 9297 ref 653 ref appTerm appTerm 9265 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 9298 remove appTerm 9265 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 9297 remove nil cons cons 11899 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 9303 remove cons 11899 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 9299 ref 689 ref appTerm appTerm 9265 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 9300 remove appTerm 9265 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 9299 remove nil cons cons 11899 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp proveHyp eqMp nil 435 ref 9211 remove cons 437 ref 9213 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 9208 remove appTerm nil cons cons 400 ref 9209 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 9210 remove 475 ref 9104 remove cons 11900 def nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp proveHyp eqMp eqMp nil 435 ref 9040 remove cons 437 ref 9023 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp eqMp proveHyp eqMp nil 435 ref 8381 remove cons 437 ref 7043 remove cons nil cons 11901 def cons nil cons cons 451 ref subst deductAntisym eqMp proveHyp proveHyp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 7725 remove cons 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp proveHyp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 6670 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 6671 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6672 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6673 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6674 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6675 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6676 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6677 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6678 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6679 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6680 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6681 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6682 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6683 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6684 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6685 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6686 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6687 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6688 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6689 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6690 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6691 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6692 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6693 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6694 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6695 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6696 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6697 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6698 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6699 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6700 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6701 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6702 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6703 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6704 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6705 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6706 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6707 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6708 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6709 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6710 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6711 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6712 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6713 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6714 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6715 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6716 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6717 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6718 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6719 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6720 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6721 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6722 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6723 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6724 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6725 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6726 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6727 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6728 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6729 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6730 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6731 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6732 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6733 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6734 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6735 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6736 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6737 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6738 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6739 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6740 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6741 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6742 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6743 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6744 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6745 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6746 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6747 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6748 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6749 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6750 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6751 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6752 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6753 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6754 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6755 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6756 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6757 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6758 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6759 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6760 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6761 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6762 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6763 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6764 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6765 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6766 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6767 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6768 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6769 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6770 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6771 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6772 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6773 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6774 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6775 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6776 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6777 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6778 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6779 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6780 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6781 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6782 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6783 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6784 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6785 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6786 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6787 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6788 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6789 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6790 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6791 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6792 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6793 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6794 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6795 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6796 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6797 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6798 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6799 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6800 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6801 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6802 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6803 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6804 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6805 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6806 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6807 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6808 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6809 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6810 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6811 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6812 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6813 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6814 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6815 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6816 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6817 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6818 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6819 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6820 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6821 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6822 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6823 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6824 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6825 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6826 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6827 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6828 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6829 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6830 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6831 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6832 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6833 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6834 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6835 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6836 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6837 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6838 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6839 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6840 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6841 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6842 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6843 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6844 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6845 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6846 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6847 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6848 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6849 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6850 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6851 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6852 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6853 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6854 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6855 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6856 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6857 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6858 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6859 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6860 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6861 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6862 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6863 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6864 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6865 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6866 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6867 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6868 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6869 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6870 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6871 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6872 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6873 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6874 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6875 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6876 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6877 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6878 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6879 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6880 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6881 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6882 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6883 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6884 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6885 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6886 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6887 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 6888 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6889 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 6890 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6891 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 6892 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6893 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 6894 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 6895 remove 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 6896 remove 6957 ref appTerm absTerm appTerm nil cons cons 400 ref 6897 remove 6957 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6898 remove 11901 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 4920 remove cons 11902 def 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 7041 remove cons 11903 def 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 11904 def nil 17 ref 6999 ref appTerm 11905 def thm nil 160 ref 1003 ref 17 ref 168 ref 17 ref 6901 ref 17 ref 695 ref 17 ref 475 ref 17 ref 1878 ref 34 ref 6 ref 11 ref 12 ref 11 ref 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 697 ref 2186 ref 4837 ref 6910 ref 706 ref 42 ref 17 ref 707 ref 41 ref 709 ref 699 ref 700 ref 701 ref 187 ref 69 ref appTerm 11906 def 208 ref appTerm 11907 def appTerm 11908 def appTerm 11909 def appTerm 11910 def appTerm 11911 def appTerm 11912 def 719 ref appTerm absTerm 11913 def appTerm 11914 def appTerm 11915 def 2204 ref 4850 ref 6929 ref 6941 ref 744 ref 42 ref 180 ref 726 ref 2214 ref 713 ref 699 ref 700 ref 701 ref 11906 ref 733 ref appTerm 11916 def appTerm 11917 def appTerm 11918 def appTerm 11919 def appTerm 11920 def appTerm appTerm appTerm 2219 ref appTerm 11921 def appTerm 11922 def 42 ref 180 ref 726 ref 2220 ref 11920 ref appTerm appTerm appTerm 2224 ref appTerm 11923 def appTerm 11924 def 42 ref 180 ref 726 ref 2225 ref 11920 ref appTerm appTerm appTerm 2229 ref appTerm 11925 def appTerm 11926 def 76 ref appTerm 11927 def appTerm 11928 def appTerm 11929 def appTerm 11930 def appTerm 11931 def appTerm 11932 def appTerm 11933 def appTerm 11934 def appTerm 11935 def appTerm 11936 def appTerm 11937 def appTerm 11938 def appTerm 11939 def appTerm 11940 def appTerm 180 ref 2217 ref 187 ref 726 ref 6951 ref 11920 ref appTerm appTerm appTerm 2196 ref 726 ref 6954 ref 11920 ref appTerm appTerm appTerm 11941 def appTerm appTerm 1011 ref appTerm appTerm 11942 def 2217 ref 8148 remove 6903 ref appTerm appTerm 1011 ref appTerm 11943 def appTerm 11944 def appTerm 11945 def absTerm 11946 def appTerm 11947 def absTerm 11948 def appTerm 11949 def absTerm 11950 def appTerm 11951 def absTerm 11952 def appTerm 11953 def absTerm 11954 def appTerm 11955 def absTerm 11956 def appTerm 11957 def absTerm 11958 def appTerm 11959 def absTerm 11960 def appTerm 11961 def absTerm 11962 def appTerm 11963 def absTerm 11964 def appTerm 11965 def absTerm 11966 def appTerm 11967 def absTerm 11968 def appTerm 11969 def absTerm 11970 def appTerm 11971 def absTerm 11972 def appTerm 11973 def absTerm 11974 def appTerm 11975 def absTerm 11976 def appTerm 11977 def absTerm 11978 def appTerm 11979 def absTerm 11980 def appTerm 11981 def absTerm 11982 def appTerm 11983 def absTerm 11984 def appTerm 11985 def absTerm 11986 def appTerm 11987 def absTerm 11988 def appTerm 11989 def absTerm 11990 def appTerm 11991 def absTerm 11992 def appTerm 11993 def absTerm 11994 def appTerm 11995 def absTerm 11996 def appTerm 11997 def absTerm 11998 def appTerm 11999 def absTerm 12000 def nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 11999 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 11998 remove nil cons cons nil cons nil cons cons 164 ref subst 168 ref nil 150 ref 11997 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 11996 remove nil cons cons nil cons nil cons cons 164 ref subst 6901 ref nil 150 ref 11995 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 11994 remove nil cons cons nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 11993 remove nil cons 12001 def cons nil cons nil cons cons 155 ref subst nil 160 ref 11992 ref nil cons cons 12002 def nil cons nil cons cons 164 ref subst 475 ref nil 150 ref 11991 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 11990 remove nil cons cons nil cons nil cons cons 164 ref subst 1878 ref nil 150 ref 11989 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5 ref 11988 remove nil cons cons nil cons nil cons cons 149 ref subst 6 ref nil 150 ref 11987 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11986 remove nil cons cons nil cons nil cons cons 159 ref subst 12 ref nil 150 ref 11985 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11984 remove nil cons cons nil cons nil cons cons 159 ref subst 13 ref nil 150 ref 11983 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 11982 remove nil cons cons nil cons nil cons cons 164 ref subst 18 ref nil 150 ref 11981 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11980 remove nil cons cons nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 11979 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11978 remove nil cons cons nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 11977 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 11976 remove nil cons cons nil cons nil cons cons 164 ref subst 21 ref nil 150 ref 11975 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11974 remove nil cons cons nil cons nil cons cons 159 ref subst 22 ref nil 150 ref 11973 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11972 remove nil cons cons nil cons nil cons cons 159 ref subst 23 ref nil 150 ref 11971 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 11970 remove nil cons cons nil cons nil cons cons 164 ref subst 24 ref nil 150 ref 11969 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11968 remove nil cons cons nil cons nil cons cons 159 ref subst 25 ref nil 150 ref 11967 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11966 remove nil cons cons nil cons nil cons cons 159 ref subst 26 ref nil 150 ref 11965 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11964 remove nil cons cons nil cons nil cons cons 159 ref subst 27 ref nil 150 ref 11963 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 11962 remove nil cons cons nil cons nil cons cons 164 ref subst 28 ref nil 150 ref 11961 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 11960 remove nil cons cons nil cons nil cons cons 164 ref subst 29 ref nil 150 ref 11959 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11958 remove nil cons cons nil cons nil cons cons 159 ref subst 30 ref nil 150 ref 11957 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11956 remove nil cons cons nil cons nil cons cons 159 ref subst 31 ref nil 150 ref 11955 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11954 remove nil cons cons nil cons nil cons cons 159 ref subst 32 ref nil 150 ref 11953 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5 ref 11952 remove nil cons cons nil cons nil cons cons 149 ref subst 35 ref nil 150 ref 11951 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11950 remove nil cons cons nil cons nil cons cons 159 ref subst 36 ref nil 150 ref 11949 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 11948 remove nil cons cons nil cons nil cons cons 159 ref subst 37 ref nil 150 ref 11947 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 11946 remove nil cons cons nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 11945 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 11940 remove nil cons 12003 def cons 400 ref 11944 ref nil cons 12004 def cons nil cons 12005 def cons nil cons cons 12006 def 416 ref subst 12006 remove 467 ref subst nil 817 ref 437 ref 11939 remove nil cons cons nil cons cons nil cons cons 12007 def 451 ref subst 12007 remove 515 ref subst nil 2515 ref 437 ref 11938 remove nil cons cons nil cons cons nil cons cons 12008 def 451 ref subst 12008 remove 515 ref subst nil 4926 ref 437 ref 11937 remove nil cons cons nil cons cons nil cons cons 12009 def 451 ref subst 12009 remove 515 ref subst nil 7050 ref 437 ref 11936 remove nil cons cons nil cons cons nil cons cons 12010 def 451 ref subst 12010 remove 515 ref subst nil 819 ref 437 ref 11935 remove nil cons cons nil cons cons nil cons cons 12011 def 451 ref subst 12011 remove 515 ref subst nil 435 ref 11914 remove nil cons 12012 def cons 437 ref 11934 remove nil cons cons nil cons cons nil cons cons 12013 def 451 ref subst 12013 remove 515 ref subst nil 2518 remove 437 ref 11933 ref nil cons cons nil cons cons nil cons cons 12014 def 451 ref subst 12014 remove 515 ref subst nil 4930 remove 437 ref 11932 ref nil cons cons nil cons cons nil cons cons 12015 def 451 ref subst 12015 remove 515 ref subst nil 7057 remove 437 ref 11931 remove nil cons cons nil cons cons nil cons cons 12016 def 451 ref subst 12016 remove 515 ref subst nil 7060 remove 437 ref 11930 remove nil cons cons nil cons cons nil cons cons 12017 def 451 ref subst 12017 remove 515 ref subst nil 823 remove 437 ref 11929 remove nil cons cons nil cons cons nil cons cons 12018 def 451 ref subst 12018 remove 515 ref subst nil 435 ref 11921 ref nil cons cons 437 ref 11928 remove nil cons cons nil cons cons nil cons cons 12019 def 451 ref subst 12019 remove 515 ref subst nil 435 ref 11923 ref nil cons cons 437 ref 11927 remove nil cons cons nil cons cons nil cons cons 12020 def 451 ref subst 12020 remove 515 ref subst nil 435 ref 11925 ref nil cons cons 437 ref 76 ref nil cons 12021 def cons nil cons cons nil cons cons 12022 def 451 ref subst 12022 remove 515 ref subst 2180 remove nil 399 ref 804 remove cons 12005 ref cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 695 ref 165 ref 7063 ref 625 ref nil 150 ref 818 remove cons nil cons nil cons cons 155 ref subst 1029 remove eqMp 12023 def appThm 12024 def 807 remove 625 ref 1131 ref 1176 remove appThm 742 ref refl 12025 def appThm nil 475 ref 742 ref nil cons cons nil cons nil cons cons 1281 ref subst trans appThm nil 150 ref 12021 remove cons nil cons nil cons cons 155 ref subst 76 remove assume 12026 def eqMp appThm 634 ref trans appThm nil 150 ref 821 remove cons nil cons nil cons cons 12027 def 1105 ref subst trans appThm 12027 remove 633 ref subst 12028 def trans appThm 12028 remove trans appThm 808 remove appThm absThm appThm appThm 11944 ref refl appThm sym nil 399 ref 17 ref 695 ref 41 ref 722 remove appTerm 753 ref appTerm absTerm 12029 def appTerm nil cons 12030 def cons 12031 def 12005 ref cons nil cons cons 12032 def 416 ref subst 12032 remove 467 ref subst 505 remove 12026 remove eqMp nil 516 remove 12005 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 825 ref 828 remove 11944 ref appTerm 12033 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 825 ref nil 150 ref 12033 remove nil cons cons nil cons nil cons cons 155 ref subst nil 831 remove 12005 ref cons nil cons cons 12034 def 416 ref subst 12034 remove 467 ref subst 833 remove nil 902 remove 12005 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 170 ref 904 remove 11944 ref appTerm 12035 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 170 ref nil 150 ref 12035 remove nil cons cons nil cons nil cons cons 155 ref subst nil 907 remove 12005 ref cons nil cons cons 12036 def 416 ref subst 12036 remove 467 ref subst 909 remove nil 910 remove 12005 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 171 ref 912 remove 11944 ref appTerm 12037 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 171 remove nil 150 ref 12037 remove nil cons cons nil cons nil cons cons 155 ref subst nil 915 remove 12005 ref cons nil cons cons 12038 def 416 ref subst 12038 remove 467 ref subst 917 remove nil 918 remove 12005 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 173 ref 920 remove 11944 ref appTerm 12039 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 173 ref nil 150 ref 12039 remove nil cons cons nil cons nil cons cons 155 ref subst nil 923 remove 12005 ref cons nil cons cons 12040 def 416 ref subst 12040 remove 467 ref subst 925 remove nil 926 remove 12005 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 174 ref 928 remove 11944 ref appTerm 12041 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 174 ref nil 150 ref 12041 remove nil cons cons nil cons nil cons cons 155 ref subst nil 931 remove 12005 ref cons nil cons cons 12042 def 416 ref subst 12042 remove 467 ref subst 933 remove nil 934 remove 12005 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 175 ref 936 remove 11944 ref appTerm 12043 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 175 remove nil 150 ref 12043 remove nil cons cons nil cons nil cons cons 155 ref subst nil 939 remove 12005 ref cons nil cons cons 12044 def 416 ref subst 12044 remove 467 ref subst 941 remove nil 942 remove 12005 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 176 ref 944 remove 11944 ref appTerm 12045 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 176 remove nil 150 ref 12045 remove nil cons cons nil cons nil cons cons 155 ref subst nil 947 remove 12005 ref cons nil cons cons 12046 def 416 ref subst 12046 remove 467 ref subst 949 remove nil 950 remove 12005 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 177 ref 952 remove 11944 ref appTerm 12047 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 177 remove nil 150 ref 12047 remove nil cons cons nil cons nil cons cons 155 ref subst nil 955 remove 12005 ref cons nil cons cons 12048 def 416 ref subst 12048 remove 467 ref subst 957 remove nil 958 remove 12005 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 178 ref 960 remove 11944 ref appTerm 12049 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 178 remove nil 150 ref 12049 remove nil cons cons nil cons nil cons cons 155 ref subst nil 963 remove 12005 ref cons nil cons cons 12050 def 416 ref subst 12050 remove 467 ref subst 965 remove nil 967 remove 12005 ref cons nil cons cons 12051 def 459 ref subst proveHyp 12051 ref 416 ref subst 12051 remove 467 ref subst 970 remove 451 ref subst 971 remove 973 remove 975 remove 977 remove 979 remove 981 remove 983 remove 985 remove 987 remove 451 ref subst 988 remove 990 remove 992 remove 993 remove 994 remove 995 remove 996 remove 997 remove 998 remove 999 remove 1000 remove 562 remove 451 ref subst 563 remove 567 remove 569 remove 451 ref subst 570 remove 572 remove 451 ref subst 573 remove 575 remove 451 ref subst 576 remove 579 remove 578 remove 515 ref subst nil 435 ref 285 ref nil cons 12052 def cons 437 ref 291 remove nil cons cons nil cons cons nil cons cons 12053 def 451 ref subst 12053 remove 515 ref subst nil 435 ref 288 ref nil cons 12054 def cons 437 ref 290 ref nil cons 12055 def cons nil cons cons nil cons cons 12056 def 451 ref subst 12056 remove 515 ref subst 180 ref 11920 ref appTerm 12057 def refl nil 1116 ref 493 ref cons 12058 def 1003 ref 1177 remove cons 7786 ref cons 12059 def cons nil cons cons 1169 ref subst 7837 ref nil 12058 ref 1003 ref 735 remove nil cons cons 1221 ref cons 12060 def cons nil cons cons 1169 ref subst 1223 ref nil 12058 ref 1003 ref 734 remove nil cons cons 1227 ref cons 12061 def cons nil cons cons 1169 ref subst 1229 ref nil 12058 ref 1003 ref 733 remove nil cons 12062 def cons 12063 def 1233 ref cons 12064 def cons nil cons cons 1169 ref subst 1235 ref nil 12058 ref 9573 ref 1240 ref cons 12065 def cons nil cons cons 1169 ref subst 12066 def appThm trans appThm trans appThm trans appThm trans appThm nil 1116 ref 699 ref 700 ref 701 ref 189 ref 9578 ref 69 ref appTerm appTerm 12067 def appTerm 12068 def appTerm 12069 def appTerm nil cons cons 1003 ref 11919 ref nil cons 12070 def cons 12071 def 7786 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 12069 remove nil cons cons 1003 ref 11918 ref nil cons 12072 def cons 1221 ref cons 12073 def cons nil cons cons 1192 ref subst nil 1116 ref 12068 remove nil cons cons 1003 ref 11917 ref nil cons 12074 def cons 1227 ref cons 12075 def cons nil cons cons 1192 ref subst nil 1116 ref 12067 ref nil cons cons 1003 ref 11916 ref nil cons 12076 def cons 1233 ref cons 12077 def cons nil cons cons 1192 ref subst trans trans trans trans sym 1131 ref nil 12063 ref 1006 ref 493 ref cons 12078 def nil cons 12079 def cons 12080 def nil cons cons 12081 def 1210 ref subst 12082 def appThm 12067 remove refl appThm sym 12066 ref eqMp eqMp 3390 ref 41 ref 2186 ref 6909 remove appTerm appTerm 12083 def 180 ref 2217 ref 9000 remove appTerm 1011 ref appTerm appTerm 2217 ref 9002 remove 6903 ref appTerm appTerm 1011 ref appTerm 12084 def appTerm appTerm absTerm 12085 def 4861 remove appTerm 12086 def betaConv 695 ref 17 ref 12085 ref appTerm 12087 def absTerm 12088 def 710 ref appTerm 12089 def betaConv 6901 ref 17 ref 12088 ref appTerm 12090 def absTerm 12091 def 6903 ref appTerm 12092 def betaConv 168 ref 17 ref 6901 ref 17 ref 695 ref 17 ref 3390 ref 41 ref 2186 ref 180 ref 6477 remove 6903 ref appTerm appTerm 6908 ref appTerm appTerm appTerm 180 ref 2217 ref 6478 remove appTerm 1011 ref appTerm appTerm 12084 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12093 def 4868 ref appTerm 12094 def betaConv 1003 ref 17 ref 12093 ref appTerm 12095 def absTerm 12096 def 1011 ref appTerm 12097 def betaConv nil 17 ref 12096 ref appTerm 12098 def axiom nil 399 ref 12098 remove nil cons cons 400 ref 12097 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12096 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12095 remove nil cons cons 400 ref 12094 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12093 remove nil cons cons 475 ref 6188 ref cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 12091 ref appTerm nil cons cons 400 ref 12092 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12091 remove nil cons cons 9020 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12090 remove nil cons cons 400 ref 12089 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12088 remove nil cons cons 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12087 remove nil cons cons 400 ref 12086 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12085 remove nil cons cons 9021 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12083 remove 180 ref 2217 ref 4870 ref appTerm 1011 ref appTerm 12099 def appTerm 11943 ref appTerm 12100 def appTerm nil cons cons 12005 remove cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 6358 ref 9027 ref appThm 634 ref trans appThm 12100 ref refl appThm nil 150 ref 12100 ref nil cons 12101 def cons nil cons nil cons cons 614 ref subst trans appThm 1131 ref 2793 ref 1368 ref 3190 ref 11492 remove 12057 remove 187 ref 713 ref 736 ref appTerm 12102 def appTerm 12103 def 69 ref appTerm 12104 def appTerm assume 12105 def appThm appThm appThm 2814 ref 3190 ref 11493 remove 12105 ref appThm appThm appThm appThm appThm 1703 ref appThm appThm 11943 ref refl appThm appThm sym nil 399 ref 12101 ref cons 400 ref 180 ref 2217 ref 187 ref 726 ref 6951 remove 12104 ref appTerm appTerm appTerm 2196 ref 726 ref 6954 remove 12104 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 12106 def 11943 ref appTerm nil cons 12107 def cons nil cons cons nil cons cons 12108 def 416 ref subst 12108 remove 467 ref subst 129 ref "_48340" 14 ref var 12109 def 12106 ref 12109 remove varTerm appTerm absTerm 12110 def 11943 remove appTerm 12111 def appTerm refl 12110 ref 12099 ref appTerm betaConv appThm 439 ref 12111 remove betaConv appThm 12106 remove 12099 remove appTerm 12112 def refl appThm trans 12110 remove refl 12100 remove assume sym appThm eqMp sym 825 ref 172 ref 12 ref 172 ref 13 ref 172 ref 30 ref 172 ref 31 ref 172 ref 32 ref 42 ref 221 ref 826 ref appTerm appTerm 2186 ref 42 ref 4871 remove 844 remove appTerm appTerm 42 ref 180 ref 187 ref 726 ref 2192 ref 12102 ref appTerm 12113 def appTerm appTerm 2196 ref 726 ref 2197 ref 12102 ref appTerm 12114 def appTerm appTerm 12115 def appTerm appTerm 4870 ref appTerm appTerm 12116 def 42 ref 2206 ref 2192 ref 12104 ref appTerm appTerm 12113 remove appTerm appTerm 12117 def 42 ref 2206 ref 2197 ref 12104 ref appTerm appTerm 12114 remove appTerm appTerm 12118 def 42 ref 180 ref 726 ref 2214 ref 12104 ref appTerm appTerm appTerm 12119 def 2217 ref 738 ref 826 ref appTerm 12120 def appTerm 1011 ref appTerm appTerm appTerm 42 ref 180 ref 726 ref 2220 ref 12104 ref appTerm appTerm appTerm 12121 def 2217 ref 2196 ref 12120 ref appTerm appTerm 1011 ref appTerm appTerm appTerm 42 ref 180 ref 726 ref 2225 ref 12104 ref appTerm appTerm appTerm 12122 def 2217 ref 2228 remove 12120 remove appTerm appTerm 1011 ref appTerm appTerm appTerm 2230 remove 69 ref appTerm 70 ref appTerm 71 ref appTerm 72 ref appTerm 74 ref appTerm 75 ref appTerm 12123 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12124 def 188 ref appTerm betaConv sym 12 ref 172 ref 13 ref 172 ref 30 ref 172 ref 31 ref 172 ref 32 ref 2183 ref 2186 ref 42 ref 4872 ref appTerm 12125 def 12116 remove 12117 remove 12118 ref 42 ref 12119 remove 2219 ref appTerm appTerm 12126 def 42 ref 12121 remove 2224 ref appTerm appTerm 12127 def 42 ref 12122 remove 2229 ref appTerm 12128 def appTerm 12129 def 12123 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12130 def 242 ref appTerm betaConv sym 13 ref 172 ref 30 ref 172 ref 31 ref 172 ref 32 ref 2183 ref 2186 ref 12125 ref 42 ref 180 ref 187 ref 726 ref 728 ref 242 ref appTerm 12131 def 12102 ref appTerm 12132 def appTerm appTerm 12133 def 12115 remove appTerm appTerm 4870 ref appTerm appTerm 42 ref 2206 ref 12131 ref 12104 ref appTerm appTerm 12132 ref appTerm 12134 def appTerm 12135 def 12118 remove 12126 ref 12127 ref 12129 ref 284 remove 57 ref appTerm 69 ref appTerm 70 ref appTerm 71 ref appTerm 72 ref appTerm 74 ref appTerm 75 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12136 def 245 ref appTerm betaConv sym 30 ref 172 ref 31 ref 172 ref 32 ref 2183 remove 2186 ref 12125 ref 42 ref 180 ref 12133 remove 2196 ref 726 ref 728 ref 245 ref appTerm 12137 def 12102 ref appTerm 12138 def appTerm appTerm appTerm appTerm 4870 ref appTerm 12139 def appTerm 12140 def 12135 ref 42 ref 2206 ref 12137 ref 12104 ref appTerm appTerm 12138 ref appTerm 12141 def appTerm 12142 def 12126 ref 12127 ref 12129 ref 285 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 12143 def appTerm absTerm 12144 def appTerm absTerm 12145 def appTerm absTerm 12146 def 70 ref appTerm betaConv sym 12145 ref 71 ref appTerm betaConv sym 12144 ref 72 ref appTerm betaConv sym 129 ref "_48342" 14 ref var 12147 def 221 ref 12147 remove varTerm appTerm absTerm 12148 def 188 ref appTerm 12149 def appTerm refl 12148 ref 182 ref appTerm betaConv appThm 439 ref 12149 remove betaConv appThm 221 remove 182 ref appTerm refl appThm trans 12148 remove refl 7062 remove sym 12150 def appThm eqMp sym 1131 ref 853 remove assume appThm 836 remove assume 12151 def appThm nil 475 ref 835 ref nil cons cons nil cons nil cons cons 1281 ref subst 12152 def trans sym 154 ref eqMp eqMp nil 399 ref 2182 remove nil cons cons 400 ref 12143 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 6358 ref 12125 ref refl 12140 ref refl 12135 ref refl 12142 ref refl 12126 ref refl 12127 ref refl 12129 remove refl nil 150 ref 12052 remove cons nil cons nil cons cons 155 ref subst 285 remove assume eqMp appThm nil 150 ref 12128 ref nil cons cons nil cons nil cons cons 1105 ref subst trans appThm appThm appThm appThm appThm appThm appThm nil 150 ref 12125 remove 12140 remove 12135 ref 12142 remove 12126 remove 12127 remove 12128 remove appTerm appTerm 12153 def appTerm appTerm 12154 def appTerm 12155 def appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym 38 ref 41 ref 697 ref 2186 ref 4837 ref 2204 ref 4850 ref 258 ref appTerm appTerm appTerm appTerm appTerm appTerm 4875 ref appTerm 12156 def absTerm 12157 def 47 ref appTerm 12158 def betaConv 37 ref 17 ref 38 ref 41 ref 697 ref 2186 ref 4837 ref 2204 ref 4850 ref 257 remove 75 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm 4875 remove appTerm absTerm appTerm absTerm 12159 def 238 ref appTerm 12160 def betaConv 4881 remove 234 ref appTerm 12161 def betaConv 6900 remove nil 399 ref 4916 remove cons 400 ref 12161 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 4917 remove 9219 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 12159 ref appTerm nil cons cons 400 ref 12160 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12159 remove nil cons cons 9485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 12157 ref appTerm nil cons cons 400 ref 12158 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12157 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12156 remove nil cons cons 6230 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 7063 ref 6358 ref 7064 ref 7065 ref 7068 ref nil 150 ref 561 remove cons nil cons nil cons cons 155 ref subst 258 ref assume eqMp 12162 def appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 5264 remove appThm 7069 remove trans appThm 4872 remove refl appThm sym nil 7071 remove 6230 remove cons nil cons cons 12163 def 416 ref subst 12163 remove 467 ref subst 7073 remove 7074 remove 7076 remove proveHyp proveHyp eqMp nil 11902 remove 7075 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 399 ref 6229 remove cons 400 ref 12155 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 160 ref 1014 ref 41 ref 7439 ref 69 ref appTerm 12164 def appTerm 12165 def 129 ref 44 ref 268 ref appTerm 12166 def 187 ref 6952 ref appTerm 12167 def 1017 ref appTerm 12168 def appTerm appTerm 180 ref 1017 ref appTerm 191 ref appTerm 12169 def appTerm 12170 def appTerm 12171 def absTerm 12172 def nil cons cons 12173 def nil cons nil cons cons 164 ref subst 1014 ref nil 150 ref 12171 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12164 ref nil cons 12174 def cons 12175 def 400 ref 12170 ref nil cons 12176 def cons nil cons 12177 def cons nil cons cons 12178 def 416 ref subst 12178 remove 467 ref subst 1030 remove nil 1034 remove 12177 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 1040 ref 1043 remove 12170 ref appTerm 12179 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1040 remove nil 150 ref 12179 remove nil cons cons nil cons nil cons cons 155 ref subst nil 1046 remove 12177 ref cons nil cons cons 12180 def 416 ref subst 12180 remove 467 ref subst 1048 remove nil 1052 remove 12177 remove cons nil cons cons 12181 def 459 ref subst proveHyp 12181 ref 416 ref subst 12181 remove 467 ref subst 1131 ref nil 1116 ref 2499 ref cons 12182 def 1003 ref 751 ref nil cons 12183 def cons 12184 def 7786 ref cons 12185 def cons nil cons cons 1169 ref subst 7837 ref nil 12182 ref 1003 ref 8980 remove cons 1221 ref cons 12186 def cons nil cons cons 1169 ref subst 1223 ref nil 12182 ref 1003 ref 2079 remove cons 1227 ref cons 12187 def cons nil cons cons 1169 ref subst 1229 ref nil 12182 ref 1003 ref 2084 remove cons 12188 def 1233 ref cons 12189 def cons nil cons cons 1169 ref subst 1235 ref nil 12182 ref 1171 ref 1240 ref cons 12190 def cons nil cons cons 1169 ref subst 1243 ref 1368 ref 4139 remove 4193 ref appTerm assume sym 180 ref 4193 remove appTerm 207 ref appTerm assume sym deductAntisym 2126 ref eqMp 12191 def appThm 12192 def 9290 ref appThm nil 12182 ref 4542 ref cons nil cons cons 1169 ref subst trans appThm trans appThm trans appThm trans appThm trans appThm trans appThm nil 1132 ref 1003 ref 1054 ref 7441 ref appTerm 12193 def nil cons 12194 def cons 12195 def 7786 ref cons cons nil cons cons 1169 ref subst 7837 ref nil 1132 ref 1003 ref 7441 ref nil cons 12196 def cons 12197 def 1172 ref cons cons nil cons cons 1169 ref subst 1054 ref refl nil 1132 ref 1237 ref 1006 ref 2499 remove cons nil cons 12198 def cons 12199 def cons nil cons cons 1169 ref subst appThm trans appThm trans appThm nil 1116 ref 1054 remove 7437 ref 2714 ref 68 ref appTerm 12200 def appTerm 12201 def appTerm nil cons cons 1003 ref 699 ref 700 ref 701 ref 189 ref 2714 ref 2714 ref 1017 ref appTerm 12202 def appTerm 12203 def appTerm 12204 def appTerm 12205 def appTerm appTerm 12206 def nil cons cons 7786 ref cons cons nil cons cons 1192 ref subst trans sym 180 ref 12206 remove appTerm 12207 def refl 12208 def nil 1003 ref 12201 remove nil cons cons 1172 remove cons nil cons cons 1210 ref subst appThm sym 12208 ref nil 1212 ref 1003 ref 12200 remove nil cons cons 12198 ref cons cons nil cons cons 1169 ref subst 7437 ref refl 12209 def nil 1212 remove 1213 ref 4159 ref cons cons nil cons cons 1169 ref subst appThm trans appThm sym 129 ref "_48346" 14 ref var 12210 def 12207 ref 7437 ref 2714 ref 12210 remove varTerm appTerm appTerm appTerm absTerm 12211 def 1049 ref appTerm 12212 def appTerm refl 12211 ref 704 ref appTerm betaConv appThm 439 ref 12212 remove betaConv appThm 12207 remove 7437 ref 2714 ref 704 ref appTerm 12213 def appTerm appTerm refl appThm trans 12211 remove refl 1218 ref appThm eqMp sym 12208 remove nil 1003 ref 12213 remove nil cons cons 12198 ref cons nil cons cons 1210 ref subst appThm sym 1131 ref nil 1116 ref 12205 remove nil cons cons 2082 ref cons nil cons cons 2078 ref subst nil 1116 ref 12204 remove nil cons cons 2089 ref cons nil cons cons 2078 ref subst nil 1116 ref 12203 remove nil cons cons 2096 ref cons nil cons cons 2078 ref subst nil 1116 ref 12202 remove nil cons cons 1237 ref 1006 ref 2102 remove nil cons cons nil cons 12214 def cons 12215 def cons nil cons cons 2078 ref subst nil 12182 ref 1237 ref 1006 ref 2103 remove 192 ref appTerm 12216 def nil cons cons nil cons 12217 def cons cons nil cons cons 2078 ref subst trans trans trans trans appThm 1368 ref nil 7823 remove 6124 ref 4159 ref cons 12218 def cons nil cons cons 2078 ref subst nil 7966 ref 2081 remove 1006 ref 2714 ref 58 ref appTerm 12219 def nil cons cons nil cons cons 12220 def cons nil cons cons 2078 ref subst nil 7986 ref 2086 remove 1006 ref 187 ref 12219 remove appTerm 61 ref appTerm 12221 def nil cons cons nil cons cons 12222 def cons nil cons cons 2078 ref subst nil 2073 ref 2091 ref 1006 ref 187 ref 12221 remove appTerm 64 ref appTerm 12223 def nil cons cons nil cons 12224 def cons cons nil cons cons 2078 ref subst trans trans trans appThm 9290 ref appThm appThm nil 1003 ref 187 ref 187 ref 12223 remove appTerm 12225 def 188 ref appTerm 12226 def appTerm 192 ref appTerm nil cons cons 12182 ref 1006 ref 187 ref 12216 remove appTerm 12227 def 192 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 12226 ref nil cons cons 2073 ref 12217 remove cons cons nil cons cons 2889 ref subst trans trans sym 1131 ref nil 12215 ref nil cons cons 1210 ref subst appThm 12226 remove refl appThm sym nil 1116 ref 1238 remove cons 1003 ref 2094 remove cons 4159 ref cons cons nil cons cons 2078 ref subst 1368 ref nil 8181 remove 7789 remove 4159 ref cons cons nil cons cons 2078 ref subst 1368 ref nil 7836 remove 12218 ref cons nil cons cons 2078 ref subst appThm 64 ref refl appThm trans appThm 2712 remove appThm trans eqMp eqMp eqMp eqMp eqMp eqMp eqMp 129 ref "_48344" 14 ref var 12228 def 129 ref 12166 ref 12228 remove varTerm appTerm appTerm 12169 ref appTerm absTerm 12229 def 12168 ref appTerm 12230 def appTerm refl 12229 ref 187 ref 713 ref 12193 ref appTerm 12231 def appTerm 68 ref appTerm 12232 def appTerm betaConv appThm 439 ref 12230 remove betaConv appThm 129 ref 12166 ref 12232 ref appTerm 12233 def appTerm 12234 def 12169 ref appTerm 12235 def refl 12236 def appThm trans 12229 remove refl 180 ref 12168 remove appTerm 12232 remove appTerm assume appThm eqMp sym 38 ref 41 ref 269 ref appTerm 12237 def 129 ref 12166 ref 713 ref 68 ref appTerm 12238 def appTerm appTerm 586 ref appTerm appTerm absTerm 12239 def 12231 ref appTerm 12240 def betaConv 3457 ref 17 ref 38 ref 41 ref 267 remove 3458 ref appTerm appTerm 129 ref 3459 ref 12238 remove appTerm appTerm 586 ref appTerm appTerm absTerm appTerm absTerm 12241 def 268 ref appTerm 12242 def betaConv 1014 ref 34 ref 3457 ref 17 ref 38 ref 41 ref 266 remove 1017 ref appTerm 3458 ref appTerm appTerm 3460 ref 586 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12243 def 68 ref appTerm 12244 def betaConv 3466 ref 262 ref appTerm 12245 def betaConv 3469 ref nil 3470 ref 400 ref 12245 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3471 ref 598 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 12243 ref appTerm nil cons cons 400 ref 12244 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12243 remove nil cons cons 492 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 12241 ref appTerm nil cons cons 400 ref 12242 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 12241 remove nil cons cons 460 ref 268 ref nil cons cons nil cons 12246 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 12239 ref appTerm nil cons cons 400 ref 12240 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12239 remove nil cons cons 475 ref 12231 ref nil cons 12247 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12237 remove 12234 remove 585 ref 12231 ref appTerm 12248 def appTerm 12249 def appTerm nil cons cons 400 ref 12235 remove nil cons 12250 def cons nil cons 12251 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 568 remove cons nil cons nil cons cons 155 ref subst 269 remove assume eqMp appThm 12249 ref refl appThm nil 150 ref 12249 ref nil cons 12252 def cons nil cons nil cons cons 614 ref subst trans appThm 12236 remove appThm sym nil 399 ref 12252 ref cons 12251 remove cons nil cons cons 12253 def 416 ref subst 12253 remove 467 ref subst 129 ref "_48348" 2 ref var 12254 def 129 ref 12254 remove varTerm appTerm 12169 ref appTerm absTerm 12255 def 12233 remove appTerm 12256 def appTerm refl 12255 ref 12248 ref appTerm betaConv 12257 def appThm 439 ref 12256 remove betaConv appThm 129 ref 12248 ref appTerm 12258 def 12169 ref appTerm 12259 def refl 12260 def appThm trans 12255 remove refl 12261 def 12249 remove assume appThm eqMp sym 12029 ref 12193 ref appTerm 12262 def betaConv nil 12031 remove 400 ref 12262 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 12029 remove nil cons cons 475 ref 12194 ref cons nil cons 12263 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 17 ref 707 ref 41 ref 709 ref 12193 ref appTerm 12264 def appTerm 719 remove appTerm 12265 def absTerm 12266 def appTerm 12267 def appTerm 129 ref 78 ref 12231 remove appTerm appTerm 180 ref 747 ref 12193 ref appTerm appTerm 751 ref appTerm 12268 def appTerm 12269 def appTerm 12270 def nil cons cons 400 ref 12259 ref nil cons 12271 def cons nil cons 12272 def cons nil cons cons 459 ref subst proveHyp nil 160 ref 12266 remove nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 12265 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12264 ref nil cons 12273 def cons 7826 ref cons nil cons cons 12274 def 416 ref subst 12274 remove 467 ref subst 1003 ref 7820 ref 4352 ref 11910 ref appTerm 12275 def appTerm absTerm 12276 def 12193 ref appTerm betaConv sym 625 ref nil 150 ref 12273 ref cons nil cons nil cons cons 155 ref subst 12264 remove assume eqMp appThm 698 ref 12193 remove appTerm 12277 def 11910 ref appTerm 12278 def refl appThm nil 150 ref 12278 remove nil cons 12279 def cons nil cons nil cons cons 633 ref subst trans sym 1003 ref 42 ref 12277 ref 1011 ref appTerm appTerm 12275 ref appTerm absTerm 12280 def 187 ref 704 ref appTerm 12281 def 7441 ref appTerm 12282 def appTerm betaConv sym 12277 ref refl 12283 def 1368 ref 1217 remove appThm 7441 ref refl appThm appThm sym 12283 remove nil 1116 ref 12196 remove cons 12284 def 2074 remove cons nil cons cons 12285 def 1169 ref subst appThm nil 1007 ref 12195 remove nil cons cons nil cons cons 4727 ref subst trans sym 154 ref eqMp eqMp nil 399 ref 12277 remove 12282 ref appTerm nil cons cons 400 ref 698 ref 12282 ref appTerm 11910 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 4701 ref nil 12284 ref 1222 ref cons nil cons cons 1169 ref subst 12286 def 1223 ref nil 12284 ref 1228 ref cons nil cons cons 1169 ref subst 1229 ref nil 12284 ref 1234 ref cons nil cons cons 1169 ref subst 1235 ref nil 12284 remove 1241 ref cons nil cons cons 12287 def 1169 ref subst appThm trans appThm trans appThm 12288 def trans appThm 11910 ref refl 12289 def appThm nil 1116 ref 11909 remove nil cons 12290 def cons 1003 ref 700 ref 701 ref 189 ref 2714 ref 7441 ref appTerm 12291 def appTerm 12292 def appTerm 12293 def appTerm nil cons cons 1221 ref cons 12294 def cons nil cons cons 6045 ref subst nil 1116 ref 11908 remove nil cons 12295 def cons 1003 ref 12293 remove nil cons cons 1227 ref cons 12296 def cons nil cons cons 6045 ref subst nil 1116 ref 11907 ref nil cons 12297 def cons 1003 ref 12292 remove nil cons cons 1233 ref cons 12298 def cons nil cons cons 6045 ref subst trans trans trans sym 4701 ref 12287 remove 2078 ref subst nil 2073 ref 4470 ref 4645 remove cons 12299 def cons nil cons cons 2078 ref subst trans appThm nil 1219 ref 2091 ref 12079 ref cons cons nil cons cons 2078 ref subst 187 ref 11906 ref 188 ref appTerm 12300 def appTerm 12301 def refl 12191 remove appThm nil 2073 ref 1237 ref 1006 ref 12300 remove nil cons 12302 def cons nil cons cons cons nil cons cons 2078 ref subst trans trans appThm nil 1116 ref 12301 remove 192 ref appTerm 12303 def nil cons cons 2719 ref 1003 ref 4546 remove 1017 ref appTerm nil cons cons nil cons cons cons nil cons cons 4718 ref subst trans sym 4701 ref nil 12299 remove nil cons cons 1210 ref subst appThm 12303 remove refl 12304 def appThm sym 4701 ref nil 2073 ref 2091 ref 12198 ref cons cons nil cons cons 2078 ref subst appThm 12304 remove appThm nil 1116 ref 12302 remove cons 2719 ref 1003 ref 7437 ref 188 ref appTerm nil cons cons nil cons cons cons nil cons cons 4718 ref subst nil 12058 ref 1239 remove 4470 ref nil cons 12305 def cons cons nil cons cons 4718 ref subst nil 150 ref 12174 ref cons nil cons nil cons cons 155 ref subst 12164 remove assume eqMp trans trans trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 12280 ref nil cons cons 475 ref 12282 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 12280 remove appTerm nil cons cons 400 ref 12279 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 11910 ref nil cons 12306 def cons 12307 def 1006 ref 12194 remove cons nil cons cons nil cons cons 4776 ref subst eqMp eqMp eqMp 162 ref 160 ref 12276 ref nil cons cons 12308 def 12263 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 12276 ref appTerm nil cons cons 400 ref 11911 ref nil cons 12309 def cons nil cons cons nil cons cons 459 ref subst 12310 def proveHyp nil 12307 ref 7647 ref cons nil cons cons 12311 def 4776 ref subst 12312 def eqMp nil 399 ref 12309 ref cons 12313 def 7826 remove cons nil cons cons 459 ref subst 12314 def proveHyp 11913 ref 708 ref appTerm 12315 def betaConv nil 399 ref 12012 remove cons 400 ref 12315 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 11913 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 12316 def eqMp eqMp nil 435 ref 12273 remove cons 437 ref 7825 remove cons nil cons 12317 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 12267 ref nil cons cons 12318 def 400 ref 41 ref 12269 ref appTerm 12259 ref appTerm 12319 def nil cons 12320 def cons nil cons 12321 def cons nil cons cons 467 ref subst proveHyp 599 remove nil 602 remove 12321 ref cons nil cons cons 459 ref subst proveHyp 615 remove 12319 ref refl appThm sym nil 618 remove 12321 remove cons nil cons cons 12322 def 416 ref subst 12322 remove 467 ref subst 165 ref 439 ref nil 38 ref 12247 remove cons nil cons nil cons cons 624 remove subst appThm 12268 ref refl appThm appThm 12260 remove appThm sym nil 399 ref 12258 remove 12268 ref appTerm 12323 def nil cons 12324 def cons 12272 remove cons nil cons cons 12325 def 416 ref subst 12325 remove 467 ref subst 129 ref "_48350" 2 ref var 12326 def 129 ref 12326 remove varTerm appTerm 12169 ref appTerm absTerm 12327 def 12248 remove appTerm appTerm refl 12327 remove 12268 ref appTerm betaConv appThm 439 ref 12257 remove appThm 129 ref 12268 remove appTerm 12169 ref appTerm refl appThm trans 12261 remove 12323 remove assume appThm eqMp sym 439 ref 1131 ref 12285 remove 2078 ref subst nil 2073 ref 4470 ref 1006 ref 1049 ref nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans appThm 2099 ref appThm appThm 12169 ref refl 12328 def appThm sym 129 ref "_48352" 14 ref var 12329 def 129 ref 180 ref 187 ref 187 ref 12329 remove varTerm appTerm 1017 ref appTerm appTerm 192 ref appTerm appTerm 2104 ref appTerm appTerm 12169 ref appTerm absTerm 12330 def 1049 remove appTerm 12331 def appTerm refl 12330 ref 704 ref appTerm betaConv appThm 439 ref 12331 remove betaConv appThm 129 ref 180 ref 187 ref 12281 ref 1017 ref appTerm appTerm 192 ref appTerm appTerm 2104 ref appTerm appTerm 12169 remove appTerm refl appThm trans 12330 remove refl 1218 remove appThm eqMp sym 439 ref 1131 ref nil 2073 ref 4470 ref 1006 ref 1004 ref cons nil cons 12332 def cons cons nil cons cons 1169 ref subst 12286 remove trans 12288 remove trans appThm 2131 remove appThm nil 8991 remove 12294 remove cons nil cons cons 1192 ref subst nil 2080 remove 12296 remove cons nil cons cons 1192 ref subst nil 2085 ref 12298 remove cons nil cons cons 1192 ref subst nil 1219 ref 1003 ref 12291 remove nil cons cons 1240 ref cons cons nil cons cons 1192 ref subst trans trans trans trans appThm 12328 ref appThm sym 439 ref 1131 ref nil 12197 remove 4159 ref cons nil cons cons 1210 ref subst appThm 4021 ref 1703 ref subst 12333 def appThm appThm 12328 remove appThm sym 1131 ref nil 2073 ref 12199 remove cons nil cons cons 1169 ref subst 12209 ref 2126 remove appThm trans appThm 12333 remove appThm nil 1171 ref 12198 ref cons nil cons cons 1003 ref 129 ref 1178 remove 1011 ref appTerm appTerm 4372 ref appTerm absTerm 12334 def 1011 ref appTerm 12335 def betaConv 1006 ref 17 ref 12334 ref appTerm 12336 def absTerm 12337 def 1009 ref appTerm 12338 def betaConv nil 17 ref 12337 ref appTerm 12339 def axiom nil 399 ref 12339 remove nil cons cons 400 ref 12338 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12337 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12336 remove nil cons cons 400 ref 12335 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12334 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst trans eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 12324 remove cons 437 ref 12271 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 651 remove 437 ref 12320 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 399 ref 42 ref 12267 remove appTerm 12319 remove appTerm nil cons cons 400 ref 41 ref 12270 remove appTerm 12259 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 12271 remove cons 400 ref 12269 remove nil cons cons 12318 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 435 ref 12252 remove cons 437 ref 12250 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 2140 remove 437 ref 12176 remove cons nil cons 12340 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 2141 remove 12340 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 2142 remove 12170 ref appTerm absTerm appTerm nil cons cons 400 ref 2143 remove 12170 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 2144 remove 12340 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12174 ref cons 12340 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp 180 ref 12102 ref appTerm 12341 def refl nil 2073 ref 12185 ref cons nil cons cons 1169 ref subst 7837 ref nil 2073 ref 12186 ref cons nil cons cons 1169 ref subst 1223 ref nil 2073 ref 12187 ref cons nil cons cons 1169 ref subst 1229 ref nil 2073 ref 12189 ref cons nil cons cons 1169 ref subst 1235 ref nil 2073 ref 12190 ref cons nil cons cons 12342 def 1169 ref subst 1243 ref 10240 ref appThm trans 12343 def appThm trans appThm trans appThm trans appThm trans appThm nil 475 ref 12102 ref nil cons 12344 def cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp 129 ref "_48354" 14 ref var 12345 def 180 ref 187 ref 726 ref 12131 ref 12345 remove varTerm 12346 def appTerm appTerm appTerm 2196 ref 726 ref 12137 ref 12346 remove appTerm appTerm appTerm appTerm appTerm 4870 ref appTerm absTerm 12347 def 12102 remove appTerm 12348 def appTerm refl 12347 ref 12167 ref 192 ref appTerm 12349 def appTerm betaConv appThm 439 ref 12348 remove betaConv appThm 180 ref 187 ref 726 ref 12131 ref 12349 ref appTerm 12350 def appTerm appTerm 2196 ref 726 ref 12137 ref 12349 ref appTerm 12351 def appTerm appTerm 12352 def appTerm appTerm 4870 ref appTerm 12353 def refl 12354 def appThm trans 12347 remove refl 12341 remove 12349 remove appTerm assume appThm eqMp sym 38 ref 41 ref 288 ref appTerm 12355 def 2206 ref 12131 ref 9727 ref appTerm appTerm 728 ref 248 ref appTerm 12356 def 47 ref appTerm 12357 def appTerm appTerm absTerm 12358 def 6952 ref appTerm 12359 def betaConv 2661 ref 17 ref 38 ref 41 ref 287 remove 2667 ref appTerm appTerm 9731 ref 12357 ref appTerm appTerm absTerm appTerm absTerm 12360 def 242 ref appTerm 12361 def betaConv 9734 ref 248 ref appTerm 12362 def betaConv 9737 ref nil 9738 ref 400 ref 12362 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9739 ref 470 ref 248 ref nil cons cons nil cons 12363 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 12360 ref appTerm nil cons cons 400 ref 12361 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12360 remove nil cons cons 470 ref 242 ref nil cons cons nil cons 12364 def cons nil cons cons 469 ref subst eqMp eqMp 12365 def nil 399 ref 17 ref 12358 ref appTerm nil cons cons 12366 def 400 ref 12359 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12358 ref nil cons cons 12367 def 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12355 ref 2206 ref 12350 ref appTerm 12356 ref 6952 ref appTerm 12368 def appTerm 12369 def appTerm nil cons cons 400 ref 12353 remove nil cons 12370 def cons nil cons 12371 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 12054 remove cons nil cons nil cons cons 155 ref subst 288 remove assume eqMp appThm 12372 def 12369 ref refl appThm nil 150 ref 12369 ref nil cons 12373 def cons nil cons nil cons cons 614 ref subst trans appThm 12354 remove appThm sym nil 399 ref 12373 ref cons 12371 remove cons nil cons cons 12374 def 416 ref subst 12374 remove 467 ref subst 129 ref "_48356" 724 ref var 12375 def 180 ref 187 ref 726 ref 12375 remove varTerm appTerm appTerm 12352 ref appTerm appTerm 4870 ref appTerm absTerm 12376 def 12350 remove appTerm 12377 def appTerm refl 12376 ref 12368 ref appTerm betaConv appThm 439 ref 12377 remove betaConv appThm 180 ref 187 ref 726 ref 12368 ref appTerm appTerm 12378 def 12352 remove appTerm appTerm 4870 ref appTerm 12379 def refl 12380 def appThm trans 12376 remove refl 12369 remove assume appThm eqMp sym 38 ref 41 ref 290 ref appTerm 12381 def 2206 ref 12137 ref 9727 ref appTerm appTerm 728 ref 251 ref appTerm 12382 def 47 ref appTerm 12383 def appTerm appTerm absTerm 12384 def 6952 ref appTerm 12385 def betaConv 2661 ref 17 ref 38 ref 41 ref 289 remove 2667 ref appTerm appTerm 9731 ref 12383 ref appTerm appTerm absTerm appTerm absTerm 12386 def 245 ref appTerm 12387 def betaConv 9734 ref 251 ref appTerm 12388 def betaConv 9737 ref nil 9738 ref 400 ref 12388 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9739 ref 470 ref 251 ref nil cons cons nil cons 12389 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 12386 ref appTerm nil cons cons 400 ref 12387 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12386 remove nil cons cons 470 ref 245 ref nil cons cons nil cons 12390 def cons nil cons cons 469 ref subst eqMp eqMp 12391 def nil 399 ref 17 ref 12384 ref appTerm nil cons cons 12392 def 400 ref 12385 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12384 ref nil cons cons 12393 def 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12381 ref 2206 ref 12351 ref appTerm 12382 ref 6952 ref appTerm 12394 def appTerm 12395 def appTerm nil cons cons 400 ref 12379 remove nil cons 12396 def cons nil cons 12397 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 12055 remove cons nil cons nil cons cons 155 ref subst 290 remove assume eqMp appThm 12398 def 12395 ref refl appThm nil 150 ref 12395 ref nil cons 12399 def cons nil cons nil cons cons 614 ref subst trans appThm 12380 remove appThm sym nil 399 ref 12399 ref cons 12397 remove cons nil cons cons 12400 def 416 ref subst 12400 remove 467 ref subst 129 ref "_48358" 724 ref var 12401 def 180 ref 12378 ref 2196 ref 726 ref 12401 remove varTerm appTerm appTerm appTerm appTerm 4870 ref appTerm absTerm 12402 def 12351 remove appTerm 12403 def appTerm refl 12402 ref 12394 ref appTerm betaConv appThm 439 ref 12403 remove betaConv appThm 180 ref 12378 remove 2196 ref 726 ref 12394 ref appTerm appTerm 12404 def appTerm appTerm 4870 ref appTerm 12405 def refl 12406 def appThm trans 12402 remove refl 12395 remove assume appThm eqMp sym 38 ref 41 ref 274 ref appTerm 12407 def 2206 ref 12357 remove appTerm 3052 ref 12166 ref 47 ref appTerm appTerm 12408 def 7321 ref 47 ref appTerm 12409 def appTerm 12410 def 12131 ref 47 ref appTerm appTerm 12411 def appTerm appTerm absTerm 12412 def 6952 ref appTerm 12413 def betaConv 2716 ref 17 ref 38 ref 41 ref 273 remove 2722 ref appTerm appTerm 3063 ref 12411 remove appTerm appTerm absTerm appTerm absTerm 12414 def 248 remove appTerm 12415 def betaConv 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 272 remove 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 12410 remove 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12416 def 242 remove appTerm 12417 def betaConv 470 ref 11 ref 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 271 remove 653 ref appTerm 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 12408 ref 2797 ref appTerm 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12418 def 234 ref appTerm 12419 def betaConv 3070 ref 268 remove appTerm 12420 def betaConv 3073 ref nil 3074 ref 400 ref 12420 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3075 ref 12246 remove cons nil cons cons 469 ref subst eqMp eqMp 12421 def nil 399 ref 11 ref 12418 ref appTerm nil cons cons 12422 def 400 ref 12419 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12418 ref nil cons cons 12423 def 9219 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 12416 ref appTerm nil cons cons 400 ref 12417 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12416 remove nil cons cons 12364 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 12414 ref appTerm nil cons cons 400 ref 12415 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12414 remove nil cons cons 12363 remove cons nil cons cons 469 ref subst eqMp eqMp 12424 def nil 399 ref 17 ref 12412 ref appTerm nil cons cons 12425 def 400 ref 12413 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12412 ref nil cons cons 12426 def 9707 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12407 ref 2206 ref 12368 ref appTerm 3052 ref 12166 ref 6952 ref appTerm 12427 def appTerm 12428 def 7321 ref 6952 ref appTerm 12429 def appTerm 12131 ref 6952 ref appTerm 12430 def appTerm 12431 def appTerm 12432 def appTerm nil cons cons 400 ref 12405 remove nil cons 12433 def cons nil cons 12434 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 571 remove cons nil cons nil cons cons 155 ref subst 274 remove assume eqMp appThm 12435 def 12432 ref refl appThm nil 150 ref 12432 ref nil cons 12436 def cons nil cons nil cons cons 614 ref subst trans appThm 12406 remove appThm sym nil 399 ref 12436 ref cons 12434 remove cons nil cons cons 12437 def 416 ref subst 12437 remove 467 ref subst 129 ref "_48360" 724 ref var 12438 def 180 ref 187 ref 726 ref 12438 remove varTerm appTerm appTerm 12404 ref appTerm appTerm 4870 ref appTerm absTerm 12439 def 12368 remove appTerm 12440 def appTerm refl 12439 ref 12431 ref appTerm betaConv appThm 439 ref 12440 remove betaConv appThm 180 ref 187 ref 726 ref 12431 remove appTerm appTerm 12441 def 12404 remove appTerm appTerm 4870 ref appTerm 12442 def refl 12443 def appThm trans 12439 remove refl 12432 remove assume appThm eqMp sym 38 ref 41 ref 277 ref appTerm 12444 def 2206 ref 12383 remove appTerm 12408 remove 7322 ref 47 ref appTerm 12445 def appTerm 12446 def 12137 ref 47 ref appTerm appTerm 12447 def appTerm appTerm absTerm 12448 def 6952 ref appTerm 12449 def betaConv 2716 ref 17 ref 38 ref 41 ref 276 remove 2722 ref appTerm appTerm 3063 ref 12447 remove appTerm appTerm absTerm appTerm absTerm 12450 def 251 remove appTerm 12451 def betaConv 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 275 remove 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 12446 remove 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12452 def 245 remove appTerm 12453 def betaConv 12418 remove 238 ref appTerm 12454 def betaConv 12421 remove nil 12422 remove 400 ref 12454 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 12423 remove 9485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 12452 ref appTerm nil cons cons 400 ref 12453 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12452 remove nil cons cons 12390 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 12450 ref appTerm nil cons cons 400 ref 12451 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12450 remove nil cons cons 12389 remove cons nil cons cons 469 ref subst eqMp eqMp 12455 def nil 399 ref 17 ref 12448 ref appTerm nil cons cons 12456 def 400 ref 12449 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12448 ref nil cons cons 12457 def 9707 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12444 ref 2206 ref 12394 ref appTerm 12428 remove 7322 ref 6952 ref appTerm 12458 def appTerm 12137 ref 6952 remove appTerm 12459 def appTerm 12460 def appTerm 12461 def appTerm nil cons cons 400 ref 12442 remove nil cons 12462 def cons nil cons 12463 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 574 remove cons nil cons nil cons cons 155 ref subst 277 remove assume eqMp appThm 12464 def 12461 ref refl appThm nil 150 ref 12461 ref nil cons 12465 def cons nil cons nil cons cons 614 ref subst trans appThm 12443 remove appThm sym nil 399 ref 12465 ref cons 12463 remove cons nil cons cons 12466 def 416 ref subst 12466 remove 467 ref subst 129 ref "_48362" 724 ref var 12467 def 180 ref 12441 ref 2196 ref 726 ref 12467 remove varTerm appTerm appTerm appTerm appTerm 4870 ref appTerm absTerm 12468 def 12394 remove appTerm 12469 def appTerm refl 12468 ref 12460 ref appTerm betaConv appThm 439 ref 12469 remove betaConv appThm 180 ref 12441 remove 2196 ref 726 ref 12460 remove appTerm appTerm appTerm appTerm 4870 ref appTerm refl appThm trans 12468 remove refl 12461 remove assume appThm eqMp sym 12172 ref 191 ref appTerm 12470 def betaConv nil 399 ref 17 ref 12172 ref appTerm nil cons cons 12471 def 400 ref 12470 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 12173 ref 1276 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 9281 ref 69 ref appTerm 12472 def appTerm 12473 def 129 ref 12166 ref 12167 ref 191 ref appTerm appTerm appTerm 3272 remove 191 ref appTerm 12474 def appTerm appTerm nil cons cons 400 ref 12427 ref nil cons 12475 def cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 1003 ref 493 ref cons 12476 def nil cons nil cons cons 12477 def 9286 ref subst appThm 439 ref 12166 ref refl 12478 def nil 1006 ref 9691 remove cons nil cons nil cons cons 1366 ref subst appThm appThm 1282 ref appThm nil 150 ref 12475 remove cons nil cons nil cons cons 12479 def 11320 ref subst trans appThm 12479 ref 614 ref subst trans appThm 12427 ref refl appThm 12479 ref 6664 ref subst trans sym 154 ref eqMp eqMp 129 ref "_48364" 2 ref var 12480 def 180 ref 187 ref 726 ref 3052 ref 12480 remove varTerm appTerm 12481 def 12429 ref appTerm 12430 ref appTerm appTerm appTerm 2196 ref 726 ref 12481 remove 12458 ref appTerm 12459 ref appTerm appTerm appTerm appTerm appTerm 4870 ref appTerm absTerm 12482 def 12427 ref appTerm 12483 def appTerm refl 12482 ref 140 ref appTerm betaConv appThm 439 ref 12483 remove betaConv appThm 180 ref 187 ref 726 ref 3304 ref 12429 ref appTerm 12430 ref appTerm appTerm appTerm 2196 ref 726 ref 3304 remove 12458 ref appTerm 12459 ref appTerm appTerm appTerm appTerm appTerm 4870 ref appTerm refl appThm trans 12482 remove refl 12479 remove 155 ref subst 12427 remove assume eqMp appThm eqMp sym 1131 ref 1368 ref 3190 ref nil 3191 ref 12430 remove nil cons cons 3192 ref 12429 ref nil cons cons nil cons cons nil cons cons 3319 ref subst appThm appThm 2814 ref 3190 ref nil 3191 ref 12459 remove nil cons cons 3192 ref 12458 ref nil cons cons nil cons cons nil cons cons 3319 ref subst appThm appThm appThm appThm 9098 remove appThm sym 6901 ref 169 ref 6 ref 172 ref 12 ref 172 ref 13 ref 172 ref 19 ref 172 ref 20 ref 172 ref 22 ref 172 ref 23 ref 172 ref 25 ref 172 ref 26 ref 697 ref 2186 ref 4837 ref 6910 ref 6916 ref 2204 remove 4850 remove 6929 ref 6941 ref 258 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm 12484 def appTerm absTerm 12485 def appTerm absTerm 12486 def appTerm absTerm 12487 def appTerm absTerm 12488 def appTerm absTerm 12489 def appTerm absTerm 12490 def appTerm absTerm 12491 def appTerm absTerm 12492 def appTerm absTerm 12493 def 6903 ref appTerm betaConv sym 12492 ref 45 ref appTerm betaConv sym 12491 ref 56 ref appTerm betaConv sym 12490 ref 57 ref appTerm betaConv sym 12489 ref 59 ref appTerm betaConv sym 12488 ref 60 ref appTerm betaConv sym 12487 ref 62 ref appTerm betaConv sym 12486 ref 63 ref appTerm betaConv sym 12485 ref 65 ref appTerm betaConv sym 12484 ref 66 ref appTerm betaConv sym 7063 remove 6358 ref 7064 ref 625 ref 9027 remove appThm 12494 def 6916 remove refl 7065 remove 7068 remove 625 ref 603 ref 707 ref nil 150 ref 6926 remove nil cons cons nil cons nil cons cons 155 ref subst 7988 remove eqMp absThm appThm 1099 ref trans appThm 625 ref 603 ref 707 ref nil 150 ref 6938 remove nil cons cons nil cons nil cons cons 155 ref subst 8337 remove eqMp absThm appThm 1099 remove trans appThm 12162 remove appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm 634 ref trans appThm nil 150 ref 7052 remove cons nil cons nil cons cons 12495 def 1105 ref subst trans appThm 12495 remove 633 ref subst 12496 def trans appThm 12496 ref trans appThm 12496 ref trans appThm 12496 remove trans sym nil 7401 remove nil cons nil cons cons 164 ref subst 707 ref 7399 remove 7827 ref 416 ref subst 7827 remove 467 ref subst 12276 remove 703 ref appTerm betaConv sym 625 ref 7396 remove appThm 698 ref 703 remove appTerm 12497 def 11910 ref appTerm 12498 def refl appThm nil 150 ref 12498 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym 12497 remove refl 12499 def nil 1003 ref 12290 remove cons 1221 ref cons 12500 def nil cons cons 12501 def 1210 ref subst appThm sym 12499 remove nil 1116 ref 476 remove cons 12502 def 1003 ref 12295 remove cons 1227 ref cons 12503 def cons nil cons cons 1169 ref subst 1229 ref nil 12502 ref 1003 ref 12297 remove cons 1233 ref cons 12504 def cons nil cons cons 1169 ref subst 1235 ref nil 12502 ref 12188 ref 12079 ref cons 12505 def cons nil cons cons 1169 ref subst 11906 ref refl 12506 def nil 12502 remove 12190 ref cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm nil 1116 ref 701 ref 11906 ref 189 ref 1173 ref 58 ref appTerm 12507 def appTerm 12508 def appTerm 12509 def appTerm nil cons cons 1228 ref cons nil cons cons 6045 ref subst nil 1116 ref 12509 remove nil cons cons 1234 ref cons nil cons cons 6045 ref subst trans trans sym 7960 ref refl 12510 def nil 1003 ref 12508 remove nil cons cons 12079 ref cons nil cons cons 1210 ref subst appThm sym 12510 ref nil 12058 ref 1003 ref 12507 remove nil cons cons 1240 ref cons cons nil cons cons 1169 ref subst 1243 ref nil 12058 ref 6124 remove 1215 ref cons cons nil cons cons 1169 ref subst 12192 remove 699 ref 69 ref appTerm 12511 def refl appThm nil 1116 ref 12511 ref nil cons cons 4542 remove cons nil cons cons 1169 ref subst trans trans appThm trans appThm nil 1116 ref 2714 ref 2714 ref 12511 remove appTerm 12512 def appTerm nil cons cons 1241 ref cons nil cons cons 6045 ref subst nil 1003 ref 12512 remove nil cons cons 4159 ref cons nil cons cons 6133 ref subst trans trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp 162 ref 12308 remove 7393 remove cons nil cons cons 3525 ref subst proveHyp 12310 remove proveHyp 12312 remove eqMp 12314 remove proveHyp 12316 remove eqMp eqMp nil 7578 remove 12317 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 158 ref 156 ref 12484 remove nil cons cons 489 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12485 remove nil cons cons 488 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12486 remove nil cons cons 485 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12487 remove nil cons cons 484 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12488 remove nil cons cons 481 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12489 remove nil cons cons 479 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12490 remove nil cons cons 474 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12491 remove nil cons cons 472 ref cons nil cons cons 3525 ref subst proveHyp eqMp 126 ref 5 ref 12492 remove nil cons cons 461 ref cons nil cons cons 3525 ref subst proveHyp eqMp 162 ref 160 ref 12493 ref nil cons cons 9020 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 12493 remove appTerm nil cons cons 400 ref 180 ref 187 ref 726 ref 12429 remove appTerm appTerm 2196 ref 726 ref 12458 remove appTerm appTerm appTerm appTerm 4870 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 7431 remove 7433 remove nil cons cons nil cons cons 1878 ref 41 ref 167 ref 6901 ref 169 ref 6 ref 172 ref 12 ref 172 ref 13 ref 172 ref 19 ref 172 ref 20 ref 172 ref 22 ref 172 ref 23 ref 172 ref 25 ref 172 ref 26 ref 6950 remove absTerm 12513 def appTerm 12514 def absTerm 12515 def appTerm 12516 def absTerm 12517 def appTerm 12518 def absTerm 12519 def appTerm 12520 def absTerm 12521 def appTerm 12522 def absTerm 12523 def appTerm 12524 def absTerm 12525 def appTerm 12526 def absTerm 12527 def appTerm 12528 def absTerm 12529 def appTerm 12530 def absTerm 12531 def appTerm 12532 def appTerm 12533 def 6957 ref appTerm 12534 def absTerm 12535 def 1881 ref appTerm 12536 def betaConv 475 ref 17 ref 12535 ref appTerm 12537 def absTerm 12538 def 689 ref appTerm 12539 def betaConv 695 ref 17 ref 12538 ref appTerm 12540 def absTerm 12541 def 710 ref appTerm 12542 def betaConv 168 ref 17 ref 12541 ref appTerm 12543 def absTerm 12544 def 188 ref appTerm 12545 def betaConv 1003 ref 17 ref 12544 ref appTerm 12546 def absTerm 12547 def 1011 ref appTerm 12548 def betaConv 24 ref 17 ref 12547 ref appTerm 12549 def absTerm 12550 def 64 ref appTerm 12551 def betaConv 21 ref 17 ref 12550 ref appTerm 12552 def absTerm 12553 def 61 ref appTerm 12554 def betaConv 18 ref 17 ref 12553 ref appTerm 12555 def absTerm 12556 def 58 ref appTerm 12557 def betaConv 38 ref 17 ref 12556 ref appTerm 12558 def absTerm 12559 def 47 ref appTerm 12560 def betaConv 37 ref 17 ref 12559 ref appTerm 12561 def absTerm 12562 def 75 ref appTerm 12563 def betaConv 36 ref 11 ref 12562 ref appTerm 12564 def absTerm 12565 def 74 ref appTerm 12566 def betaConv 11904 remove nil 399 ref 11905 ref nil cons 12567 def cons 12568 def 400 ref 11 ref 12565 ref appTerm nil cons 12569 def cons nil cons cons nil cons cons 12570 def 459 ref subst proveHyp 12570 ref 416 ref subst 12570 remove 467 ref subst nil 156 ref 12565 remove nil cons cons 12571 def nil cons nil cons cons 159 ref subst 36 ref nil 150 ref 12564 remove nil cons 12572 def cons nil cons nil cons cons 155 ref subst nil 156 ref 12562 remove nil cons cons 12573 def nil cons nil cons cons 159 ref subst 37 ref nil 150 ref 12561 remove nil cons 12574 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12559 remove nil cons cons 12575 def nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 12558 remove nil cons 12576 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12556 remove nil cons cons 12577 def nil cons nil cons cons 164 ref subst 18 ref nil 150 ref 12555 remove nil cons 12578 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12553 remove nil cons cons 12579 def nil cons nil cons cons 164 ref subst 21 ref nil 150 ref 12552 remove nil cons 12580 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12550 remove nil cons cons 12581 def nil cons nil cons cons 164 ref subst 24 ref nil 150 ref 12549 remove nil cons 12582 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12547 remove nil cons cons 12583 def nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 12546 remove nil cons 12584 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12544 remove nil cons cons 12585 def nil cons nil cons cons 164 ref subst 168 ref nil 150 ref 12543 remove nil cons 12586 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12541 remove nil cons cons 12587 def nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 12540 remove nil cons 12588 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12538 remove nil cons cons 12589 def nil cons nil cons cons 164 ref subst 475 ref nil 150 ref 12537 remove nil cons 12590 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12535 remove nil cons cons 12591 def nil cons nil cons cons 164 ref subst 1878 ref nil 150 ref 12534 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12532 remove nil cons 12592 def cons 12593 def 7044 ref cons nil cons cons 12594 def 416 ref subst 12594 remove 467 ref subst nil 12568 ref 7044 remove cons nil cons cons 12595 def 459 ref subst nil 12593 remove 400 ref 41 ref 11905 remove appTerm 6957 remove appTerm 12596 def nil cons 12597 def cons nil cons 12598 def cons nil cons cons 459 ref subst nil 160 ref 6901 ref 41 ref 12531 ref 6903 ref appTerm 12599 def appTerm 12596 ref appTerm 12600 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 6901 ref nil 150 ref 12600 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12599 ref nil cons 12601 def cons 12598 ref cons nil cons cons 12602 def 416 ref subst 12602 remove 467 ref subst 12599 ref betaConv 12599 remove assume eqMp nil 399 ref 12530 ref nil cons cons 12598 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 6 ref 41 ref 12529 ref 45 ref appTerm 12603 def appTerm 12596 ref appTerm 12604 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 6 ref nil 150 ref 12604 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12603 ref nil cons 12605 def cons 12598 ref cons nil cons cons 12606 def 416 ref subst 12606 remove 467 ref subst 12603 ref betaConv 12603 remove assume eqMp nil 399 ref 12528 ref nil cons cons 12598 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 12 ref 41 ref 12527 ref 56 ref appTerm 12607 def appTerm 12596 ref appTerm 12608 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 12 ref nil 150 ref 12608 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12607 ref nil cons 12609 def cons 12598 ref cons nil cons cons 12610 def 416 ref subst 12610 remove 467 ref subst 12607 ref betaConv 12607 remove assume eqMp nil 399 ref 12526 ref nil cons cons 12598 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 13 ref 41 ref 12525 ref 57 ref appTerm 12611 def appTerm 12596 ref appTerm 12612 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 13 ref nil 150 ref 12612 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12611 ref nil cons 12613 def cons 12598 ref cons nil cons cons 12614 def 416 ref subst 12614 remove 467 ref subst 12611 ref betaConv 12611 remove assume eqMp nil 399 ref 12524 ref nil cons cons 12598 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 19 ref 41 ref 12523 ref 59 ref appTerm 12615 def appTerm 12596 ref appTerm 12616 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 12616 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12615 ref nil cons 12617 def cons 12598 ref cons nil cons cons 12618 def 416 ref subst 12618 remove 467 ref subst 12615 ref betaConv 12615 remove assume eqMp nil 399 ref 12522 ref nil cons cons 12598 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 20 ref 41 ref 12521 ref 60 ref appTerm 12619 def appTerm 12596 ref appTerm 12620 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 12620 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12619 ref nil cons 12621 def cons 12598 ref cons nil cons cons 12622 def 416 ref subst 12622 remove 467 ref subst 12619 ref betaConv 12619 remove assume eqMp nil 399 ref 12520 ref nil cons cons 12598 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 22 ref 41 ref 12519 ref 62 ref appTerm 12623 def appTerm 12596 ref appTerm 12624 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 22 ref nil 150 ref 12624 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12623 ref nil cons 12625 def cons 12598 ref cons nil cons cons 12626 def 416 ref subst 12626 remove 467 ref subst 12623 ref betaConv 12623 remove assume eqMp nil 399 ref 12518 ref nil cons cons 12598 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 23 ref 41 ref 12517 ref 63 ref appTerm 12627 def appTerm 12596 ref appTerm 12628 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 23 ref nil 150 ref 12628 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12627 ref nil cons 12629 def cons 12598 ref cons nil cons cons 12630 def 416 ref subst 12630 remove 467 ref subst 12627 ref betaConv 12627 remove assume eqMp nil 399 ref 12516 ref nil cons cons 12598 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 25 ref 41 ref 12515 ref 65 ref appTerm 12631 def appTerm 12596 ref appTerm 12632 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 25 ref nil 150 ref 12632 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12631 ref nil cons 12633 def cons 12598 ref cons nil cons cons 12634 def 416 ref subst 12634 remove 467 ref subst 12631 ref betaConv 12631 remove assume eqMp nil 399 ref 12514 ref nil cons cons 12598 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 26 ref 41 ref 12513 ref 66 ref appTerm 12635 def appTerm 12596 ref appTerm 12636 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 26 ref nil 150 ref 12636 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12635 ref nil cons 12637 def cons 12598 ref cons nil cons cons 12638 def 416 ref subst 12638 remove 467 ref subst 12635 ref betaConv 12635 remove assume eqMp nil 7042 remove 12598 remove cons nil cons cons 12639 def 459 ref subst proveHyp 12639 ref 416 ref subst 12639 remove 467 ref subst 12595 ref 416 ref subst 12595 remove 467 ref subst 7045 remove 459 ref subst 6959 remove 47 ref appTerm 12640 def betaConv 6961 remove 75 ref appTerm 12641 def betaConv 6963 remove 74 ref appTerm 12642 def betaConv 6965 remove 66 ref appTerm 12643 def betaConv 6967 remove 65 ref appTerm 12644 def betaConv 6969 remove 64 ref appTerm 12645 def betaConv 6971 remove 63 ref appTerm 12646 def betaConv 6973 remove 62 ref appTerm 12647 def betaConv 6975 remove 61 ref appTerm 12648 def betaConv 6977 remove 60 ref appTerm 12649 def betaConv 6979 remove 59 ref appTerm 12650 def betaConv 6981 remove 58 ref appTerm 12651 def betaConv 6983 remove 57 ref appTerm 12652 def betaConv 6985 remove 56 ref appTerm 12653 def betaConv 6987 remove 45 ref appTerm 12654 def betaConv 6989 remove 1881 ref appTerm 12655 def betaConv 6991 remove 689 ref appTerm 12656 def betaConv 6993 remove 710 ref appTerm 12657 def betaConv 6995 remove 6903 ref appTerm 12658 def betaConv 6997 remove 188 ref appTerm 12659 def betaConv 6999 remove 1011 ref appTerm 12660 def betaConv nil 12568 remove 400 ref 12660 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 7000 remove 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7001 remove cons 400 ref 12659 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7002 remove 3642 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7003 remove cons 400 ref 12658 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7004 remove 9020 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7005 remove cons 400 ref 12657 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7006 remove 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7007 remove cons 400 ref 12656 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7008 remove 4382 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7009 remove cons 400 ref 12655 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7010 remove 7573 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7011 remove cons 400 ref 12654 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 7012 remove 461 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7013 remove cons 400 ref 12653 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7014 remove 472 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7015 remove cons 400 ref 12652 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7016 remove 474 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7017 remove cons 400 ref 12651 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7018 remove 477 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7019 remove cons 400 ref 12650 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7020 remove 479 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7021 remove cons 400 ref 12649 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7022 remove 481 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7023 remove cons 400 ref 12648 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7024 remove 483 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7025 remove cons 400 ref 12647 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7026 remove 484 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7027 remove cons 400 ref 12646 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7028 remove 485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7029 remove cons 400 ref 12645 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7030 remove 487 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7031 remove cons 400 ref 12644 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7032 remove 488 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7033 remove cons 400 ref 12643 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7034 remove 489 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7035 remove cons 400 ref 12642 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7036 remove 501 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7037 remove cons 400 ref 12641 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 7038 remove 504 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 7039 remove cons 400 ref 12640 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 7040 remove 623 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 12567 remove cons 12661 def 11901 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 11903 remove 437 ref 12597 remove cons nil cons 12662 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 12637 remove cons 12662 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12513 ref 653 ref appTerm appTerm 12596 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12514 remove appTerm 12596 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12513 remove nil cons cons 12662 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12633 remove cons 12662 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12515 ref 653 ref appTerm appTerm 12596 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12516 remove appTerm 12596 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12515 remove nil cons cons 12662 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12629 remove cons 12662 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12517 ref 653 ref appTerm appTerm 12596 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12518 remove appTerm 12596 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12517 remove nil cons cons 12662 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12625 remove cons 12662 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12519 ref 653 ref appTerm appTerm 12596 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12520 remove appTerm 12596 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12519 remove nil cons cons 12662 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12621 remove cons 12662 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12521 ref 653 ref appTerm appTerm 12596 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12522 remove appTerm 12596 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12521 remove nil cons cons 12662 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12617 remove cons 12662 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12523 ref 653 ref appTerm appTerm 12596 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12524 remove appTerm 12596 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12523 remove nil cons cons 12662 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12613 remove cons 12662 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12525 ref 653 ref appTerm appTerm 12596 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12526 remove appTerm 12596 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12525 remove nil cons cons 12662 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12609 remove cons 12662 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12527 ref 653 ref appTerm appTerm 12596 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12528 remove appTerm 12596 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12527 remove nil cons cons 12662 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12605 remove cons 12662 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 12529 ref 589 ref appTerm appTerm 12596 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12530 remove appTerm 12596 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 12529 remove nil cons cons 12662 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12601 remove cons 12662 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 12531 ref 4832 ref appTerm appTerm 12596 ref appTerm absTerm appTerm nil cons cons 400 ref 12533 remove 12596 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12531 remove nil cons cons 12662 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 12592 remove cons 11901 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 12661 remove 437 ref 12569 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 12569 remove cons 400 ref 12566 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 12571 remove 501 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12572 remove cons 400 ref 12563 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 12573 remove 504 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12574 remove cons 400 ref 12560 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12575 remove 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12576 remove cons 400 ref 12557 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12577 remove 477 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12578 remove cons 400 ref 12554 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12579 remove 483 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12580 remove cons 400 ref 12551 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12581 remove 487 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12582 remove cons 400 ref 12548 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12583 remove 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12584 remove cons 400 ref 12545 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12585 remove 3642 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12586 remove cons 400 ref 12542 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12587 remove 1090 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12588 remove cons 400 ref 12539 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12589 remove 4382 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12590 remove cons 400 ref 12536 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12591 remove 7573 remove cons nil cons cons 469 ref subst eqMp eqMp subst eqMp eqMp eqMp proveHyp eqMp eqMp nil 435 ref 12465 remove cons 437 ref 12462 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 12436 remove cons 437 ref 12433 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 12399 remove cons 437 ref 12396 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 12373 remove cons 437 ref 12370 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp nil 399 ref 12139 remove nil cons cons 400 ref 12154 ref nil cons 12663 def cons nil cons 12664 def cons nil cons cons 467 ref subst proveHyp 12473 ref refl 625 ref 3517 ref 12131 ref refl 12665 def nil 1006 ref 12344 ref cons nil cons 12666 def nil cons cons 1366 ref subst 12667 def appThm appThm 12132 ref refl 12668 def appThm nil 3518 ref 12132 ref nil cons cons nil cons nil cons cons 3520 ref subst 12669 def trans appThm 3517 ref 12137 ref refl 12670 def 12667 remove appThm appThm 12138 ref refl 12671 def appThm nil 3518 ref 12138 ref nil cons cons nil cons nil cons cons 3520 remove subst 12672 def trans appThm 634 ref trans appThm nil 150 ref 12472 remove nil cons cons nil cons nil cons cons 1767 ref subst trans sym 154 ref eqMp nil 399 ref 12473 remove 42 ref 2206 ref 12131 ref 12103 ref 191 ref appTerm 12673 def appTerm appTerm 12132 ref appTerm appTerm 2206 ref 12137 ref 12673 remove appTerm appTerm 12138 ref appTerm appTerm appTerm 12674 def nil cons cons 400 ref 17 ref 1014 ref 41 ref 12165 remove 42 ref 2206 ref 12131 ref 12103 ref 1017 ref appTerm 12675 def appTerm 12676 def appTerm 12132 ref appTerm appTerm 2206 ref 12137 ref 12675 ref appTerm 12677 def appTerm 12138 ref appTerm appTerm 12678 def appTerm 12679 def appTerm 41 ref 698 ref 4462 ref appTerm 69 ref appTerm 12680 def appTerm 12681 def 42 ref 2206 ref 12131 ref 12103 remove 4462 ref appTerm 12682 def appTerm appTerm 12132 ref appTerm appTerm 2206 ref 12137 ref 12682 remove appTerm appTerm 12138 ref appTerm appTerm 12683 def appTerm 12684 def appTerm 12685 def absTerm 12686 def appTerm 12687 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 160 ref 12686 remove nil cons cons nil cons nil cons cons 164 ref subst 1014 ref nil 150 ref 12685 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12679 ref nil cons 12688 def cons 400 ref 12684 remove nil cons 12689 def cons nil cons cons nil cons cons 12690 def 416 ref subst 12690 remove 467 ref subst nil 399 ref 12680 ref nil cons 12691 def cons 400 ref 12683 remove nil cons 12692 def cons nil cons cons nil cons cons 12693 def 416 ref subst 12693 remove 467 ref subst 625 ref 3517 ref 12665 ref nil 4470 ref 12666 remove cons nil cons cons 1324 ref subst 12694 def appThm appThm 12668 ref appThm appThm 3517 ref 12670 ref 12694 remove appThm appThm 12671 ref appThm appThm sym 625 ref 3517 ref 12665 remove nil 1006 ref 12675 ref nil cons 12695 def cons nil cons nil cons cons 4539 ref subst 12696 def appThm appThm 12668 ref appThm appThm 3517 ref 12670 remove 12696 remove appThm appThm 12671 ref appThm appThm sym 12358 remove 12675 ref appTerm 12697 def betaConv 12365 remove nil 12366 remove 400 ref 12697 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12367 remove 475 ref 12695 remove cons nil cons 12698 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12355 remove 2206 ref 12131 remove 187 ref 12675 ref appTerm 192 ref appTerm 12699 def appTerm 12700 def appTerm 12701 def 12356 remove 12675 ref appTerm 12702 def appTerm 12703 def appTerm nil cons cons 400 ref 42 ref 12701 remove 12132 ref appTerm appTerm 2206 ref 12137 remove 12699 remove appTerm 12704 def appTerm 12705 def 12138 ref appTerm 12706 def appTerm 12707 def nil cons 12708 def cons nil cons 12709 def cons nil cons cons 459 ref subst proveHyp 165 ref 12372 remove 12703 ref refl appThm nil 150 ref 12703 ref nil cons 12710 def cons nil cons nil cons cons 614 ref subst trans appThm 12707 remove refl appThm sym nil 399 ref 12710 ref cons 12709 remove cons nil cons cons 12711 def 416 ref subst 12711 remove 467 ref subst 129 ref "_48366" 724 ref var 12712 def 42 ref 2206 ref 12712 remove varTerm appTerm 12132 ref appTerm appTerm 12706 ref appTerm absTerm 12713 def 12700 remove appTerm 12714 def appTerm refl 12713 ref 12702 ref appTerm betaConv appThm 439 ref 12714 remove betaConv appThm 42 ref 2206 ref 12702 ref appTerm 12715 def 12132 ref appTerm appTerm 12716 def 12706 remove appTerm 12717 def refl 12718 def appThm trans 12713 remove refl 12703 remove assume appThm eqMp sym 12384 remove 12675 ref appTerm 12719 def betaConv 12391 remove nil 12392 remove 400 ref 12719 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12393 remove 12698 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12381 remove 12705 remove 12382 remove 12675 ref appTerm 12720 def appTerm 12721 def appTerm nil cons cons 400 ref 12717 remove nil cons 12722 def cons nil cons 12723 def cons nil cons cons 459 ref subst proveHyp 165 ref 12398 remove 12721 ref refl appThm nil 150 ref 12721 ref nil cons 12724 def cons nil cons nil cons cons 614 ref subst trans appThm 12718 remove appThm sym nil 399 ref 12724 ref cons 12723 remove cons nil cons cons 12725 def 416 ref subst 12725 remove 467 ref subst 129 ref "_48368" 724 ref var 12726 def 12716 ref 2206 ref 12726 remove varTerm appTerm 12138 ref appTerm appTerm absTerm 12727 def 12704 remove appTerm 12728 def appTerm refl 12727 ref 12720 ref appTerm betaConv appThm 439 ref 12728 remove betaConv appThm 12716 remove 2206 ref 12720 ref appTerm 12729 def 12138 ref appTerm 12730 def appTerm 12731 def refl 12732 def appThm trans 12727 remove refl 12721 remove assume appThm eqMp sym 12412 remove 12675 ref appTerm 12733 def betaConv 12424 remove nil 12425 remove 400 ref 12733 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12426 remove 12698 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12407 remove 12715 remove 3052 ref 12166 ref 12675 ref appTerm 12734 def appTerm 12735 def 7321 ref 12675 ref appTerm 12736 def appTerm 12676 ref appTerm 12737 def appTerm 12738 def appTerm nil cons cons 400 ref 12731 remove nil cons 12739 def cons nil cons 12740 def cons nil cons cons 459 ref subst proveHyp 165 ref 12435 remove 12738 ref refl appThm nil 150 ref 12738 ref nil cons 12741 def cons nil cons nil cons cons 614 ref subst trans appThm 12732 remove appThm sym nil 399 ref 12741 ref cons 12740 remove cons nil cons cons 12742 def 416 ref subst 12742 remove 467 ref subst 129 ref "_48370" 724 ref var 12743 def 42 ref 2206 ref 12743 remove varTerm appTerm 12132 ref appTerm appTerm 12730 ref appTerm absTerm 12744 def 12702 remove appTerm 12745 def appTerm refl 12744 ref 12737 ref appTerm betaConv appThm 439 ref 12745 remove betaConv appThm 42 ref 2206 ref 12737 remove appTerm 12132 ref appTerm appTerm 12746 def 12730 remove appTerm 12747 def refl 12748 def appThm trans 12744 remove refl 12738 remove assume appThm eqMp sym 12448 remove 12675 ref appTerm 12749 def betaConv 12455 remove nil 12456 remove 400 ref 12749 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12457 remove 12698 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12444 remove 12729 remove 12735 remove 7322 ref 12675 remove appTerm 12750 def appTerm 12677 ref appTerm 12751 def appTerm 12752 def appTerm nil cons cons 400 ref 12747 remove nil cons 12753 def cons nil cons 12754 def cons nil cons cons 459 ref subst proveHyp 165 ref 12464 remove 12752 ref refl appThm nil 150 ref 12752 ref nil cons 12755 def cons nil cons nil cons cons 614 ref subst trans appThm 12748 remove appThm sym nil 399 ref 12755 ref cons 12754 remove cons nil cons cons 12756 def 416 ref subst 12756 remove 467 ref subst 129 ref "_48372" 724 remove var 12757 def 12746 ref 2206 ref 12757 remove varTerm appTerm 12138 ref appTerm appTerm absTerm 12758 def 12720 remove appTerm 12759 def appTerm refl 12758 ref 12751 ref appTerm betaConv appThm 439 ref 12759 remove betaConv appThm 12746 remove 2206 ref 12751 remove appTerm 12138 ref appTerm appTerm refl appThm trans 12758 remove refl 12752 remove assume appThm eqMp sym 12172 remove 4462 ref appTerm 12760 def betaConv nil 12471 remove 400 ref 12760 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 12173 remove 475 ref 4472 ref cons nil cons 12761 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12681 remove 129 ref 12166 remove 12167 remove 4462 ref appTerm appTerm 12762 def appTerm 12763 def 180 ref 4462 ref appTerm 191 ref appTerm appTerm appTerm nil cons cons 400 ref 77 ref 12734 ref appTerm 12764 def nil cons 12765 def cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 12691 ref cons nil cons nil cons cons 155 ref subst 12680 remove assume eqMp 12766 def appThm 12763 remove refl nil 12305 remove nil cons cons 12767 def 4399 ref subst appThm nil 150 ref 12762 ref nil cons cons nil cons nil cons cons 4418 ref subst trans appThm nil 150 ref 77 ref 12762 remove appTerm 12768 def nil cons 12769 def cons nil cons nil cons cons 614 ref subst trans appThm 12764 ref refl appThm sym 620 ref 12478 remove 1131 ref nil 1116 ref 4472 remove cons 12770 def 12185 remove cons nil cons cons 1169 ref subst 7837 ref nil 12770 ref 12186 remove cons nil cons cons 1169 ref subst 1223 ref nil 12770 ref 12187 remove cons nil cons cons 1169 ref subst 1229 ref nil 12770 ref 12189 remove cons nil cons cons 1169 ref subst 1235 ref nil 12770 remove 12190 ref cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm nil 12182 ref 12059 remove cons nil cons cons 1169 ref subst 7837 ref nil 12182 ref 12060 remove cons nil cons cons 1169 ref subst 1223 ref nil 12182 ref 12061 remove cons nil cons cons 1169 ref subst 1229 ref nil 12182 ref 12064 remove cons nil cons cons 1169 ref subst 1235 ref nil 12182 ref 12065 ref cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm nil 1116 ref 699 ref 700 ref 701 ref 189 ref 9578 ref 1017 ref appTerm 12771 def appTerm 12772 def appTerm 12773 def appTerm 12774 def appTerm nil cons cons 1003 ref 699 ref 700 ref 701 ref 189 ref 1173 ref 4462 ref appTerm 12775 def appTerm 12776 def appTerm 12777 def appTerm 12778 def appTerm nil cons cons 7786 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 12774 remove nil cons cons 1003 ref 12778 remove nil cons cons 1221 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 12773 remove nil cons cons 1003 ref 12777 remove nil cons cons 1227 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 12772 remove nil cons cons 1003 ref 12776 remove nil cons cons 1233 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 12771 remove nil cons cons 1003 ref 12775 remove nil cons cons 1240 ref cons cons nil cons cons 1192 ref subst trans trans trans trans trans sym 1216 remove nil 12198 ref nil cons cons 12779 def 1006 ref 4650 remove absTerm 12780 def 1009 ref appTerm 12781 def betaConv 4651 remove nil 399 ref 17 ref 12780 ref appTerm nil cons cons 400 ref 12781 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12780 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp 12782 def subst appThm nil 12182 ref 1237 ref 1215 ref cons cons nil cons cons 2078 ref subst 1368 ref 10240 ref appThm 9290 ref appThm trans trans eqMp appThm appThm nil 399 ref 129 ref 12768 ref appTerm 12764 ref appTerm nil cons cons 400 ref 41 ref 12768 remove appTerm 12764 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1712 ref 12765 ref cons 1722 ref 12769 remove cons nil cons cons nil cons cons 1712 ref 41 ref 1726 remove 1730 ref appTerm appTerm 1849 remove appTerm absTerm 12783 def 1730 remove appTerm 12784 def betaConv 1722 ref 607 ref 12783 ref appTerm 12785 def absTerm 12786 def 1725 remove appTerm 12787 def betaConv nil 607 ref 12786 ref appTerm 12788 def axiom nil 399 ref 12788 remove nil cons cons 400 ref 12787 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 12786 remove nil cons cons 1771 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12785 remove nil cons cons 400 ref 12784 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 12783 remove nil cons cons 1751 remove cons nil cons cons 469 ref subst eqMp eqMp subst eqMp eqMp eqMp 129 ref "_48374" 2 ref var 12789 def 42 ref 2206 ref 3052 ref 12789 remove varTerm appTerm 12790 def 12736 ref appTerm 12676 ref appTerm appTerm 12132 ref appTerm appTerm 2206 ref 12790 remove 12750 ref appTerm 12677 ref appTerm appTerm 12138 ref appTerm appTerm absTerm 12791 def 12734 ref appTerm 12792 def appTerm refl 12791 ref 1407 ref appTerm betaConv appThm 439 ref 12792 remove betaConv appThm 42 ref 2206 ref 3165 ref 12736 ref appTerm 12676 ref appTerm appTerm 12132 remove appTerm appTerm 2206 ref 3165 remove 12750 ref appTerm 12677 ref appTerm appTerm 12138 remove appTerm appTerm refl appThm trans 12791 remove refl nil 399 ref 12765 remove cons 400 ref 129 ref 12734 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 12734 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp appThm eqMp sym 625 ref 3517 ref nil 3191 ref 12676 remove nil cons cons 3192 ref 12736 remove nil cons cons nil cons cons nil cons cons 3211 ref subst appThm 12668 ref appThm appThm 3517 ref nil 3191 ref 12677 remove nil cons cons 3192 ref 12750 remove nil cons cons nil cons cons nil cons cons 3211 ref subst appThm 12671 ref appThm appThm sym 1003 ref 42 ref 7439 ref 1011 ref appTerm appTerm 4352 ref 69 ref appTerm appTerm absTerm 12793 def 4462 ref appTerm betaConv sym 625 ref 12767 remove nil 150 ref 4352 ref 1286 ref appTerm 12794 def nil cons cons nil cons nil cons cons 155 ref subst 1003 ref 12794 remove absTerm 12795 def 1011 ref appTerm 12796 def betaConv nil 17 ref 12795 ref appTerm 12797 def axiom nil 399 ref 12797 remove nil cons cons 400 ref 12796 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12795 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 12798 def eqMp 12799 def subst appThm 12766 remove appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 12793 ref nil cons cons 12761 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 12793 remove appTerm nil cons cons 400 ref 12174 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 12058 ref 12198 ref cons nil cons cons 4776 ref subst eqMp nil 12175 remove 400 ref 12678 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 12679 ref assume eqMp eqMp eqMp proveHyp eqMp eqMp nil 435 ref 12755 remove cons 437 ref 12753 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 12741 remove cons 437 ref 12739 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 12724 remove cons 437 ref 12722 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 12710 remove cons 437 ref 12708 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 12691 remove cons 437 ref 12692 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 12688 remove cons 437 ref 12689 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 399 ref 42 ref 12674 remove appTerm 12687 remove appTerm nil cons cons 400 ref 17 ref 1014 ref 12679 remove absTerm 12800 def appTerm nil cons 12801 def cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 625 ref 12800 ref 191 ref appTerm betaConv appThm 603 ref 1014 ref 165 ref 12800 ref 1017 ref appTerm betaConv 12802 def appThm 12800 ref 4462 ref appTerm betaConv appThm absThm appThm appThm appThm 603 ref 1014 ref 12802 remove absThm appThm appThm nil 1329 ref 12800 ref nil cons 12803 def cons nil cons nil cons cons 1341 ref subst eqMp eqMp 12800 remove 69 ref appTerm 12804 def betaConv nil 399 ref 12801 remove cons 400 ref 12804 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 12803 remove cons 494 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 698 ref 69 ref appTerm 69 ref appTerm appTerm 12135 remove 12141 ref appTerm 12805 def appTerm nil cons cons 12664 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 12477 remove 4700 ref subst appThm 12805 ref refl appThm nil 150 ref 12805 remove nil cons 12806 def cons nil cons nil cons cons 614 ref subst trans appThm 12154 remove refl appThm sym nil 399 ref 12806 ref cons 12664 remove cons nil cons cons 12807 def 416 ref subst 12807 remove 467 ref subst nil 435 ref 12134 ref nil cons cons 437 ref 12141 ref nil cons cons nil cons cons nil cons cons 12808 def 451 ref subst 12808 remove 515 ref subst 625 ref 3517 ref 12134 remove assume appThm 12668 remove appThm 12669 remove trans appThm 625 ref 3517 remove 12141 remove assume appThm 12671 remove appThm 12672 remove trans appThm 12153 ref refl appThm nil 150 ref 12153 remove nil cons cons nil cons nil cons cons 633 ref subst 12809 def trans appThm 12809 remove trans sym 129 ref "_48376" 14 ref var 12810 def 42 ref 180 ref 726 ref 2214 ref 12810 remove varTerm 12811 def appTerm appTerm appTerm 2219 ref appTerm appTerm 42 ref 180 ref 726 ref 2220 ref 12811 ref appTerm appTerm appTerm 2224 ref appTerm appTerm 180 ref 726 ref 2225 ref 12811 remove appTerm appTerm appTerm 2229 ref appTerm appTerm appTerm absTerm 12812 def 12104 remove appTerm 12813 def appTerm refl 12812 ref 11920 ref appTerm betaConv appThm 439 ref 12813 remove betaConv appThm 11922 ref 11924 ref 11925 ref appTerm appTerm refl appThm trans 12812 remove refl 12105 remove sym appThm eqMp sym 625 ref 1131 ref 11921 remove assume appThm 2219 ref refl 12814 def appThm nil 475 ref 2219 ref nil cons cons nil cons nil cons cons 1281 ref subst trans appThm 625 ref 1131 ref 11923 remove assume appThm 2224 ref refl 12815 def appThm nil 475 ref 2224 ref nil cons cons nil cons nil cons cons 1281 ref subst trans appThm 1131 ref 11925 remove assume appThm 2229 ref refl 12816 def appThm nil 475 ref 2229 ref nil cons cons nil cons nil cons cons 1281 ref subst trans appThm 634 ref trans appThm 634 ref trans sym 154 ref eqMp eqMp eqMp proveHyp proveHyp eqMp nil 435 ref 12806 remove cons 437 ref 12663 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp eqMp eqMp 158 ref 156 ref 12144 remove nil cons cons 497 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12145 remove nil cons cons 496 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12146 remove nil cons cons 495 ref cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12136 remove nil cons cons 12390 remove cons nil cons cons 3525 ref subst proveHyp eqMp 158 ref 156 ref 12130 remove nil cons cons 12364 remove cons nil cons cons 3525 ref subst proveHyp eqMp 162 ref 160 ref 12124 ref nil cons cons 3642 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 12124 remove appTerm nil cons cons 400 ref 12112 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 11900 remove 20 ref 502 remove cons 1014 ref 493 remove cons 38 ref 12344 remove cons 19 ref 499 remove cons nil cons cons cons cons cons nil cons cons 1003 ref 41 ref 167 ref 168 ref 172 ref 12 ref 172 ref 13 ref 172 ref 30 ref 172 ref 31 ref 172 ref 32 ref 2232 ref absTerm 12817 def appTerm 12818 def absTerm 12819 def appTerm 12820 def absTerm 12821 def appTerm 12822 def absTerm 12823 def appTerm 12824 def absTerm 12825 def appTerm 12826 def absTerm 12827 def appTerm 12828 def appTerm 12829 def 2237 ref appTerm 12830 def absTerm 12831 def 1011 ref appTerm 12832 def betaConv 475 ref 17 ref 12831 ref appTerm 12833 def absTerm 12834 def 689 ref appTerm 12835 def betaConv 1014 ref 17 ref 12834 ref appTerm 12836 def absTerm 12837 def 1017 ref appTerm 12838 def betaConv 38 ref 17 ref 12837 ref appTerm 12839 def absTerm 12840 def 47 ref appTerm 12841 def betaConv 20 ref 17 ref 12840 ref appTerm 12842 def absTerm 12843 def 60 ref appTerm 12844 def betaConv 19 ref 11 ref 12843 ref appTerm 12845 def absTerm 12846 def 59 ref appTerm 12847 def betaConv 4833 remove nil 399 ref 4834 ref nil cons 12848 def cons 12849 def 400 ref 11 ref 12846 ref appTerm nil cons 12850 def cons nil cons cons nil cons cons 12851 def 459 ref subst proveHyp 12851 ref 416 ref subst 12851 remove 467 ref subst nil 156 ref 12846 remove nil cons cons 12852 def nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 12845 remove nil cons 12853 def cons nil cons nil cons cons 155 ref subst nil 156 ref 12843 remove nil cons cons 12854 def nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 12842 remove nil cons 12855 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12840 remove nil cons cons 12856 def nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 12839 remove nil cons 12857 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12837 remove nil cons cons 12858 def nil cons nil cons cons 164 ref subst 1014 ref nil 150 ref 12836 remove nil cons 12859 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12834 remove nil cons cons 12860 def nil cons nil cons cons 164 ref subst 475 ref nil 150 ref 12833 remove nil cons 12861 def cons nil cons nil cons cons 155 ref subst nil 160 ref 12831 remove nil cons cons 12862 def nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 12830 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12828 remove nil cons 12863 def cons 12864 def 2511 ref cons nil cons cons 12865 def 416 ref subst 12865 remove 467 ref subst nil 12849 ref 2511 ref cons nil cons cons 12866 def 459 ref subst nil 12864 remove 400 ref 41 ref 4834 remove appTerm 2237 remove appTerm 12867 def nil cons 12868 def cons nil cons 12869 def cons nil cons cons 459 ref subst nil 160 ref 168 ref 41 ref 12827 ref 188 ref appTerm 12870 def appTerm 12867 ref appTerm 12871 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 168 ref nil 150 ref 12871 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12870 ref nil cons 12872 def cons 12869 ref cons nil cons cons 12873 def 416 ref subst 12873 remove 467 ref subst 12870 ref betaConv 12870 remove assume eqMp nil 399 ref 12826 ref nil cons cons 12869 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 12 ref 41 ref 12825 ref 56 ref appTerm 12874 def appTerm 12867 ref appTerm 12875 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 12 ref nil 150 ref 12875 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12874 ref nil cons 12876 def cons 12869 ref cons nil cons cons 12877 def 416 ref subst 12877 remove 467 ref subst 12874 ref betaConv 12874 remove assume eqMp nil 399 ref 12824 ref nil cons cons 12869 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 13 ref 41 ref 12823 ref 57 ref appTerm 12878 def appTerm 12867 ref appTerm 12879 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 13 ref nil 150 ref 12879 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12878 ref nil cons 12880 def cons 12869 ref cons nil cons cons 12881 def 416 ref subst 12881 remove 467 ref subst 12878 ref betaConv 12878 remove assume eqMp nil 399 ref 12822 ref nil cons cons 12869 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 30 ref 41 ref 12821 ref 70 ref appTerm 12882 def appTerm 12867 ref appTerm 12883 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 30 ref nil 150 ref 12883 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12882 ref nil cons 12884 def cons 12869 ref cons nil cons cons 12885 def 416 ref subst 12885 remove 467 ref subst 12882 ref betaConv 12882 remove assume eqMp nil 399 ref 12820 ref nil cons cons 12869 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 31 ref 41 ref 12819 ref 71 ref appTerm 12886 def appTerm 12867 ref appTerm 12887 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 31 ref nil 150 ref 12887 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12886 ref nil cons 12888 def cons 12869 ref cons nil cons cons 12889 def 416 ref subst 12889 remove 467 ref subst 12886 ref betaConv 12886 remove assume eqMp nil 399 ref 12818 ref nil cons cons 12869 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 32 ref 41 ref 12817 ref 72 ref appTerm 12890 def appTerm 12867 ref appTerm 12891 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 32 ref nil 150 ref 12891 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12890 ref nil cons 12892 def cons 12869 ref cons nil cons cons 12893 def 416 ref subst 12893 remove 467 ref subst 12890 ref betaConv 12890 remove assume eqMp nil 399 ref 2232 remove nil cons 12894 def cons 12895 def 12869 remove cons nil cons cons 12896 def 459 ref subst proveHyp 12896 ref 416 ref subst 12896 remove 467 ref subst 12866 ref 416 ref subst 12866 remove 467 ref subst nil 12895 remove 2511 remove cons nil cons cons 459 ref subst 2238 ref 47 ref appTerm 12897 def betaConv 2240 ref 60 ref appTerm 12898 def betaConv 2242 ref 59 ref appTerm 12899 def betaConv 2244 ref 72 ref appTerm 12900 def betaConv 2246 ref 71 ref appTerm 12901 def betaConv 2248 ref 70 ref appTerm 12902 def betaConv 2250 ref 1017 ref appTerm 12903 def betaConv 2252 ref 57 ref appTerm 12904 def betaConv 2254 ref 56 ref appTerm 12905 def betaConv 2256 ref 689 ref appTerm 12906 def betaConv 2258 ref 188 ref appTerm 12907 def betaConv 2260 remove 1011 ref appTerm 12908 def betaConv nil 12849 remove 400 ref 12908 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 2261 remove 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2262 remove cons 400 ref 12907 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2258 remove nil cons cons 3642 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2257 remove nil cons cons 400 ref 12906 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2256 remove nil cons cons 4382 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2255 remove nil cons cons 400 ref 12905 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2254 remove nil cons cons 472 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2253 remove nil cons cons 400 ref 12904 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2252 remove nil cons cons 474 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2251 remove nil cons cons 400 ref 12903 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2250 remove nil cons cons 2500 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2249 remove nil cons cons 400 ref 12902 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2248 remove nil cons cons 495 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2247 remove nil cons cons 400 ref 12901 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2246 remove nil cons cons 496 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2245 remove nil cons cons 400 ref 12900 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2244 remove nil cons cons 497 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2243 remove nil cons cons 400 ref 12899 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2242 remove nil cons cons 479 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2241 remove nil cons cons 400 ref 12898 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 2240 remove nil cons cons 481 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 2239 remove nil cons cons 400 ref 12897 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2238 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 12848 remove cons 12909 def 4830 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 12894 remove cons 437 ref 12868 remove cons nil cons 12910 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 12892 remove cons 12910 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12817 ref 653 ref appTerm appTerm 12867 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12818 remove appTerm 12867 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12817 remove nil cons cons 12910 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12888 remove cons 12910 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12819 ref 653 ref appTerm appTerm 12867 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12820 remove appTerm 12867 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12819 remove nil cons cons 12910 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12884 remove cons 12910 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12821 ref 653 ref appTerm appTerm 12867 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12822 remove appTerm 12867 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12821 remove nil cons cons 12910 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12880 remove cons 12910 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12823 ref 653 ref appTerm appTerm 12867 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12824 remove appTerm 12867 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12823 remove nil cons cons 12910 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12876 remove cons 12910 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 12825 ref 653 ref appTerm appTerm 12867 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 12826 remove appTerm 12867 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 12825 remove nil cons cons 12910 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12872 remove cons 12910 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 12827 ref 4832 ref appTerm appTerm 12867 ref appTerm absTerm appTerm nil cons cons 400 ref 12829 remove 12867 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 12827 remove nil cons cons 12910 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 12863 remove cons 4830 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 12909 remove 437 ref 12850 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 12850 remove cons 400 ref 12847 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 12852 remove 479 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12853 remove cons 400 ref 12844 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 12854 remove 481 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12855 remove cons 400 ref 12841 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12856 remove 623 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12857 remove cons 400 ref 12838 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12858 remove 2500 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12859 remove cons 400 ref 12835 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12860 remove 4382 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 12861 remove cons 400 ref 12832 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12862 remove 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp eqMp eqMp nil 435 ref 12101 remove cons 437 ref 12107 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 2146 remove 437 ref 12004 remove cons nil cons 12911 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 2147 remove 12911 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 2148 remove 11944 ref appTerm absTerm appTerm nil cons cons 400 ref 2149 remove 11944 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2150 remove 12911 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 2151 remove 12911 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 2152 remove 11944 ref appTerm absTerm appTerm nil cons cons 400 ref 2153 remove 11944 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2154 remove 12911 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 2155 remove 12911 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 2156 remove 11944 ref appTerm absTerm appTerm nil cons cons 400 ref 2157 remove 11944 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2158 remove 12911 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 2159 remove 12911 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 2160 remove 11944 ref appTerm absTerm appTerm nil cons cons 400 ref 2161 remove 11944 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2162 remove 12911 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 2163 remove 12911 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 2164 remove 11944 ref appTerm absTerm appTerm nil cons cons 400 ref 2165 remove 11944 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2166 remove 12911 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 2167 remove 12911 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 2168 remove 11944 ref appTerm absTerm appTerm nil cons cons 400 ref 2169 remove 11944 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 2170 remove 12911 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 2171 remove 12911 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 2172 remove 11944 ref appTerm absTerm appTerm nil cons cons 400 ref 2173 remove 11944 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 2174 remove 12911 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 2175 remove 12911 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 2176 remove 11944 ref appTerm absTerm appTerm nil cons cons 400 ref 2177 remove 11944 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 2178 remove 12911 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 2179 remove 12911 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 334 remove 4832 ref appTerm appTerm 11944 ref appTerm absTerm appTerm nil cons cons 400 ref 691 remove 11944 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 692 remove 12911 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 12030 remove cons 12911 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 12003 remove cons 12911 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 12912 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 17 ref 12000 remove appTerm thm nil 160 ref 1003 ref 17 ref 168 ref 17 ref 6901 ref 17 ref 695 ref 17 ref 1006 ref 17 ref 475 ref 34 ref 6 ref 11 ref "mb" 8 ref var 12913 def 11 ref 12 ref 11 ref 13 ref 17 ref 18 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 19 ref 11 ref 20 ref 17 ref 38 ref 17 ref "l" 14 ref var 12914 def 167 ref 1014 ref 17 ref 7366 ref 41 ref 697 ref 4837 ref 6910 ref 706 ref 42 ref 180 ref 747 ref 11906 ref 192 ref appTerm 12915 def appTerm 12916 def appTerm 12914 ref varTerm 12917 def appTerm 12918 def appTerm 12919 def 42 ref 698 ref 187 ref 181 ref 12913 ref varTerm 12920 def appTerm 12921 def appTerm 12922 def 12917 ref appTerm 12923 def appTerm 12924 def 699 ref 700 ref 701 ref 11906 ref 5005 ref appTerm 12925 def appTerm 12926 def appTerm 12927 def appTerm 12928 def appTerm 12929 def appTerm 12930 def 42 ref 17 ref 707 ref 41 ref 709 ref 7437 ref 7367 ref appTerm 12931 def appTerm 12932 def appTerm 12933 def 716 remove 709 ref 12917 ref appTerm 12934 def appTerm 12935 def appTerm 12936 def absTerm 12937 def appTerm 12938 def appTerm 12939 def 42 ref 180 ref 187 ref 726 ref 728 ref 12920 ref appTerm 12940 def 713 ref 187 ref 12917 ref appTerm 12941 def 12941 ref 192 ref appTerm 12942 def appTerm 12943 def appTerm 12944 def appTerm 12945 def appTerm 12946 def appTerm 12947 def 1009 ref appTerm 12948 def appTerm 187 ref 738 ref 12921 ref appTerm 12949 def appTerm 192 ref appTerm 12950 def appTerm 12951 def appTerm 12952 def 42 ref 180 ref 2217 ref 187 ref 726 ref 2192 ref 713 ref 12941 ref 12917 ref appTerm appTerm 12953 def appTerm appTerm appTerm 2196 ref 726 ref 2197 ref 12953 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2217 ref 4860 remove 4868 ref appTerm appTerm 1011 ref appTerm 12954 def appTerm 12955 def appTerm 12956 def 42 ref 17 ref 707 ref 41 ref 7658 ref 1017 ref appTerm appTerm 12957 def 180 ref 187 ref 726 ref 6924 ref 713 ref 12941 ref 708 ref appTerm 12958 def appTerm 12959 def appTerm appTerm appTerm 2196 ref 726 ref 6925 ref 12959 ref appTerm appTerm appTerm appTerm appTerm 710 ref appTerm appTerm absTerm 12960 def appTerm 12961 def appTerm 12962 def 42 ref 17 ref 707 ref 12957 ref 180 ref 187 ref 726 ref 6936 ref 12959 ref appTerm appTerm appTerm 2196 ref 726 ref 6937 ref 12959 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm absTerm 12963 def appTerm 12964 def appTerm 12965 def 42 ref 17 ref 707 ref 12957 ref 180 ref 187 ref 726 ref 729 ref 12959 ref appTerm appTerm appTerm 736 ref appTerm appTerm 742 ref appTerm appTerm absTerm 12966 def appTerm 12967 def appTerm 12968 def 42 ref 17 ref 707 ref 12957 ref 180 ref 726 ref 2214 ref 12959 ref appTerm appTerm appTerm 2219 ref appTerm appTerm absTerm 12969 def appTerm 12970 def appTerm 12971 def 42 ref 17 ref 707 ref 12957 ref 180 ref 726 ref 2220 ref 12959 ref appTerm appTerm appTerm 2224 ref appTerm appTerm absTerm 12972 def appTerm 12973 def appTerm 12974 def 42 ref 17 ref 707 ref 12957 remove 180 ref 726 ref 2225 ref 12959 ref appTerm appTerm appTerm 2229 ref appTerm appTerm absTerm 12975 def appTerm 12976 def appTerm 12977 def "Hardware.Montgomery.doubleExp" const 0 ref 1 ref 0 ref 8 ref 0 ref 8 ref 0 ref 8 ref 0 ref 14 ref 54 remove cons opType nil cons cons opType nil cons cons opType nil cons cons opType nil cons cons opType constTerm 45 ref appTerm 12920 ref appTerm 56 ref appTerm 57 ref appTerm 58 ref appTerm 61 ref appTerm 62 ref appTerm 63 ref appTerm 64 ref appTerm 65 ref appTerm 66 ref appTerm 67 ref appTerm 68 ref appTerm 69 ref appTerm 70 ref appTerm 71 ref appTerm 72 ref appTerm 73 ref appTerm 59 ref appTerm 60 ref appTerm 12978 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 42 ref 17 ref 707 ref 12933 ref 129 ref 78 ref 12959 ref appTerm appTerm 7440 ref appTerm appTerm absTerm appTerm appTerm 12979 def 180 ref 2217 ref 187 ref 726 ref 2233 ref 713 ref 12941 ref 12931 ref appTerm appTerm 12980 def appTerm appTerm appTerm 2196 ref 726 ref 2234 ref 12980 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 12981 def 2217 ref 2195 ref 4370 ref 738 ref 1009 ref appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm appTerm 12982 def appTerm 12983 def absTerm 12984 def appTerm absTerm 12985 def appTerm 12986 def absTerm 12987 def appTerm 12988 def absTerm 12989 def appTerm 12990 def absTerm 12991 def appTerm 12992 def absTerm 12993 def appTerm 12994 def absTerm 12995 def appTerm 12996 def absTerm 12997 def appTerm 12998 def absTerm 12999 def appTerm 13000 def absTerm 13001 def appTerm 13002 def absTerm 13003 def appTerm 13004 def absTerm 13005 def appTerm 13006 def absTerm 13007 def appTerm 13008 def absTerm 13009 def appTerm 13010 def absTerm 13011 def appTerm 13012 def absTerm 13013 def appTerm 13014 def absTerm 13015 def appTerm 13016 def absTerm 13017 def appTerm 13018 def absTerm 13019 def appTerm 13020 def absTerm 13021 def appTerm 13022 def absTerm 13023 def appTerm 13024 def absTerm 13025 def appTerm 13026 def absTerm 13027 def appTerm 13028 def absTerm 13029 def appTerm 13030 def absTerm 13031 def appTerm 13032 def absTerm 13033 def appTerm 13034 def absTerm 13035 def appTerm 13036 def absTerm 13037 def appTerm 13038 def absTerm 13039 def appTerm 13040 def absTerm 13041 def nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 13040 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 13039 remove nil cons cons nil cons nil cons cons 164 ref subst 168 ref nil 150 ref 13038 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 13037 remove nil cons cons nil cons nil cons cons 164 ref subst 6901 remove nil 150 ref 13036 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 13035 remove nil cons cons nil cons nil cons cons 164 ref subst 695 ref nil 150 ref 13034 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 13033 remove nil cons cons nil cons nil cons cons 164 ref subst 1006 ref nil 150 ref 13032 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 13031 remove nil cons cons nil cons nil cons cons 164 ref subst 475 ref nil 150 ref 13030 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5 ref 13029 remove nil cons cons nil cons nil cons cons 149 ref subst 6 ref nil 150 ref 13028 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 13027 remove nil cons cons nil cons nil cons cons 159 ref subst 12913 ref nil 150 ref 13026 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 13025 remove nil cons cons nil cons nil cons cons 159 ref subst 12 ref nil 150 ref 13024 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 13023 remove nil cons cons nil cons nil cons cons 159 ref subst 13 ref nil 150 ref 13022 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 13021 remove nil cons cons nil cons nil cons cons 164 ref subst 18 ref nil 150 ref 13020 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 13019 remove nil cons cons nil cons nil cons cons 164 ref subst 21 ref nil 150 ref 13018 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 13017 remove nil cons cons nil cons nil cons cons 159 ref subst 22 ref nil 150 ref 13016 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 13015 remove nil cons cons nil cons nil cons cons 159 ref subst 23 ref nil 150 ref 13014 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 13013 remove nil cons cons nil cons nil cons cons 164 ref subst 24 ref nil 150 ref 13012 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 13011 remove nil cons cons nil cons nil cons cons 159 ref subst 25 ref nil 150 ref 13010 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 13009 remove nil cons cons nil cons nil cons cons 159 ref subst 26 ref nil 150 ref 13008 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 13007 remove nil cons cons nil cons nil cons cons 159 ref subst 27 ref nil 150 ref 13006 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 13005 remove nil cons cons nil cons nil cons cons 164 ref subst 28 ref nil 150 ref 13004 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 13003 remove nil cons cons nil cons nil cons cons 164 ref subst 29 ref nil 150 ref 13002 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 13001 remove nil cons cons nil cons nil cons cons 159 ref subst 30 ref nil 150 ref 13000 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 12999 remove nil cons cons nil cons nil cons cons 159 ref subst 31 ref nil 150 ref 12998 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 12997 remove nil cons cons nil cons nil cons cons 159 ref subst 32 ref nil 150 ref 12996 remove nil cons cons nil cons nil cons cons 155 ref subst nil 5 ref 12995 remove nil cons cons nil cons nil cons cons 149 ref subst 35 ref nil 150 ref 12994 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 12993 remove nil cons cons nil cons nil cons cons 159 ref subst 19 ref nil 150 ref 12992 remove nil cons cons nil cons nil cons cons 155 ref subst nil 156 ref 12991 remove nil cons cons nil cons nil cons cons 159 ref subst 20 ref nil 150 ref 12990 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 12989 remove nil cons cons nil cons nil cons cons 164 ref subst 38 ref nil 150 ref 12988 remove nil cons cons nil cons nil cons cons 155 ref subst nil 160 ref 12987 remove nil cons cons nil cons nil cons cons 164 ref subst 12914 remove nil 150 ref 12986 ref nil cons 13042 def cons nil cons nil cons cons 155 ref subst nil 3390 ref 12941 ref 2714 ref 2195 ref 12928 ref appTerm 13043 def 1009 ref appTerm 13044 def appTerm appTerm 13045 def nil cons cons nil cons nil cons cons 163 ref "a" 130 ref var 13046 def 659 ref 139 ref 1278 ref 13046 ref varTerm 13047 def appTerm 463 ref appTerm absTerm appTerm absTerm 13048 def 13047 ref appTerm 13049 def betaConv 1573 remove 13046 ref 4523 remove 139 ref nil 1894 ref 13047 ref nil cons 13050 def cons nil cons nil cons cons 1894 ref 1909 remove 3273 remove appTerm absTerm 13051 def 1895 ref appTerm 13052 def betaConv 139 ref 133 ref 13051 ref appTerm 13053 def absTerm 13054 def 463 ref appTerm 13055 def betaConv nil 133 ref 13054 ref appTerm 13056 def axiom nil 399 ref 13056 remove nil cons cons 400 ref 13055 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 13054 remove nil cons cons 3293 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13053 remove nil cons cons 400 ref 13052 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 13051 remove nil cons cons 1936 ref cons nil cons cons 469 ref subst eqMp eqMp 13057 def subst absThm appThm absThm appThm nil 133 ref 13046 remove 659 ref 139 ref 1279 remove 13047 remove appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 133 ref 13048 ref appTerm nil cons cons 400 ref 13049 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 13048 remove nil cons cons 139 ref 13050 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp subst 13058 def subst nil 399 ref 167 ref 1014 ref 180 ref 13045 remove appTerm 1017 ref appTerm 13059 def absTerm 13060 def appTerm 13061 def nil cons cons 400 ref 13042 ref cons nil cons 13062 def cons nil cons cons 459 ref subst nil 160 ref 1014 ref 41 ref 13060 ref 1017 ref appTerm 13063 def appTerm 12986 ref appTerm 13064 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1014 ref nil 150 ref 13064 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13063 ref nil cons 13065 def cons 13062 ref cons nil cons cons 13066 def 416 ref subst 13066 remove 467 ref subst 13063 ref betaConv 13063 remove assume eqMp nil 399 ref 13059 ref nil cons 13067 def cons 13062 remove cons nil cons cons 13068 def 459 ref subst proveHyp 13068 ref 416 ref subst 13068 remove 467 ref subst 12985 ref 1017 ref appTerm betaConv sym nil 160 ref 12984 remove nil cons cons nil cons nil cons cons 164 ref subst 7366 ref nil 150 ref 12983 remove nil cons cons nil cons nil cons cons 155 ref subst 165 ref 805 remove 4837 ref refl 6910 ref refl 806 remove 12919 ref refl 12930 ref refl 12939 ref refl 12952 ref refl 12956 ref refl 12962 ref refl 12965 ref refl 12968 ref refl 12971 ref refl 12974 ref refl 12977 ref refl 20 ref 129 ref 12978 remove appTerm 167 ref 168 remove 169 ref "sa" 1 ref var 13069 def 169 ref "sb" 1 ref var 13070 def 169 ref 170 ref 172 ref 173 ref 172 ref 174 ref 172 ref 4938 ref 172 ref 4939 ref 169 ref "sad" 1 ref var 13071 def 169 ref "sadd" 1 ref var 13072 def 169 ref "san" 1 ref var 13073 def 169 ref "sap" 1 ref var 13074 def 169 ref "saq" 1 ref var 13075 def 169 ref "sar" 1 ref var 13076 def 169 ref "sbd" 1 ref var 13077 def 169 ref "sbdd" 1 ref var 13078 def 169 ref "sbp" 1 ref var 13079 def 169 ref "sbq" 1 ref var 13080 def 169 ref "sbr" 1 ref var 13081 def 169 ref "srdd" 1 ref var 13082 def 169 ref "jpn" 1 ref var 13083 def 172 ref "psq" 8 ref var 13084 def 172 ref "psr" 8 ref var 13085 def 172 ref "pcq" 8 ref var 13086 def 172 ref "pcr" 8 ref var 13087 def 169 ref "md" 1 ref var 13088 def 169 ref "mdn" 1 ref var 13089 def 195 remove 198 remove 210 remove 213 remove 216 remove 219 remove 223 remove 226 remove 229 remove 201 remove 204 remove 42 ref 236 ref 193 ref appTerm appTerm 42 ref 240 ref 193 ref appTerm appTerm 42 ref 4995 ref 193 ref appTerm appTerm 42 ref 4997 ref 193 ref appTerm appTerm 42 ref 180 ref 181 ref 13084 ref varTerm 13090 def appTerm appTerm 13091 def 193 ref appTerm appTerm 42 ref 180 ref 181 ref 13085 ref varTerm 13092 def appTerm appTerm 13093 def 193 ref appTerm appTerm 42 ref 180 ref 181 ref 13086 ref varTerm 13094 def appTerm appTerm 13095 def 193 ref appTerm appTerm 42 ref 180 ref 181 remove 13087 ref varTerm 13096 def appTerm appTerm 13097 def 193 ref appTerm appTerm 42 ref "Hardware.not" const 278 remove constTerm 13098 def 262 ref appTerm 13099 def 13083 ref varTerm 13100 def appTerm 13101 def appTerm 42 ref 13098 ref 13088 ref varTerm 13102 def appTerm 13103 def 13089 ref varTerm 13104 def appTerm 13105 def appTerm 42 ref 13098 ref 13069 ref varTerm 13106 def appTerm 13107 def 13073 ref varTerm 13108 def appTerm 13109 def appTerm 42 ref 3882 ref 13070 ref varTerm 13110 def appTerm 13111 def 262 ref appTerm 13112 def 13074 ref varTerm 13113 def appTerm 13114 def appTerm 42 ref 3882 ref 13108 ref appTerm 13115 def 13113 ref appTerm 13116 def 13075 ref varTerm 13117 def appTerm 13118 def appTerm 42 ref 2369 remove 45 ref appTerm 13119 def 13117 ref appTerm 13120 def 13076 ref varTerm 13121 def appTerm 13122 def appTerm 42 ref 3882 ref 13106 ref appTerm 13123 def 13104 ref appTerm 13124 def 13079 ref varTerm 13125 def appTerm 13126 def appTerm 42 ref "Hardware.case1" const 2364 remove constTerm 13127 def 13110 ref appTerm 13128 def 13100 ref appTerm 13129 def 13125 ref appTerm 13130 def 13080 ref varTerm 13131 def appTerm 13132 def appTerm 42 ref 13119 ref 13131 ref appTerm 13133 def 13081 ref varTerm 13134 def appTerm 13135 def appTerm 42 ref 265 ref 13106 ref appTerm 13136 def 747 ref 69 ref appTerm 13137 def appTerm 13138 def 13071 ref varTerm 13139 def appTerm 13140 def appTerm 42 ref 5191 ref 13139 ref appTerm 13141 def 13072 ref varTerm 13142 def appTerm 13143 def appTerm 42 ref 265 remove 13110 ref appTerm 13144 def 13137 ref appTerm 13145 def 13077 ref varTerm 13146 def appTerm 13147 def appTerm 42 ref 5191 ref 13146 ref appTerm 13148 def 13078 ref varTerm 13149 def appTerm 13150 def appTerm 42 ref 3882 remove 13142 ref appTerm 13151 def 13149 ref appTerm 13152 def 13082 ref varTerm 13153 def appTerm 13154 def appTerm 42 ref "Hardware.eventCounter" const 0 ref 1 ref 0 ref 8 remove 2362 remove cons opType nil cons cons opType constTerm 13155 def 13153 ref appTerm 13156 def 12920 ref appTerm 13157 def 13142 ref appTerm 13158 def 13102 ref appTerm 13159 def appTerm 42 ref 55 remove 13142 ref appTerm 13160 def 234 ref appTerm 13161 def 238 ref appTerm 58 ref appTerm 13162 def 234 ref appTerm 13163 def 238 ref appTerm 61 ref appTerm 62 ref appTerm 63 ref appTerm 64 ref appTerm 65 ref appTerm 66 ref appTerm 67 ref appTerm 68 ref appTerm 69 ref appTerm 70 ref appTerm 71 ref appTerm 72 ref appTerm 13164 def 262 ref appTerm 13165 def 4994 ref appTerm 13166 def 4996 ref appTerm 13167 def appTerm 42 ref 270 ref 13146 ref appTerm 13168 def 56 ref appTerm 13169 def 4994 ref appTerm 13170 def 13090 ref appTerm 13171 def appTerm 42 ref 270 remove 13139 ref appTerm 13172 def 13090 ref appTerm 13173 def 234 ref appTerm 13174 def 13092 ref appTerm 13175 def appTerm 42 ref 13168 ref 57 ref appTerm 13176 def 4996 ref appTerm 13177 def 13094 ref appTerm 13178 def appTerm 42 ref 13172 ref 13094 ref appTerm 13179 def 238 ref appTerm 13180 def 13096 ref appTerm 13181 def appTerm 42 ref "Hardware.nor2" const 2363 remove constTerm 13182 def 13139 ref appTerm 13183 def 13146 ref appTerm 13184 def 73 ref appTerm 13185 def appTerm 42 ref 5145 ref 234 ref appTerm 13186 def 59 ref appTerm 13187 def appTerm 42 ref 5145 remove 238 ref appTerm 13188 def 60 ref appTerm 13189 def appTerm 42 ref 5191 ref 13121 ref appTerm 13190 def 13106 ref appTerm 13191 def appTerm 42 ref 5191 remove 13134 ref appTerm 13192 def 13110 ref appTerm 13193 def appTerm 42 ref 286 ref 13092 ref appTerm 13194 def 234 ref appTerm 13195 def appTerm 286 remove 13096 ref appTerm 13196 def 238 ref appTerm 13197 def appTerm 13198 def appTerm 13199 def appTerm 13200 def appTerm 13201 def appTerm 13202 def appTerm 13203 def appTerm 13204 def appTerm 13205 def appTerm 13206 def appTerm 13207 def appTerm 13208 def appTerm 13209 def appTerm 13210 def appTerm 13211 def appTerm 13212 def appTerm 13213 def appTerm 13214 def appTerm 13215 def appTerm 13216 def appTerm 13217 def appTerm 13218 def appTerm 13219 def appTerm 13220 def appTerm 13221 def appTerm 13222 def appTerm 13223 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13224 def appTerm 13225 def appTerm absTerm 13226 def 60 ref appTerm 13227 def betaConv 19 ref 11 ref 13226 ref appTerm 13228 def absTerm 13229 def 59 ref appTerm 13230 def betaConv 35 ref 11 ref 13229 ref appTerm 13231 def absTerm 13232 def 73 ref appTerm 13233 def betaConv 32 ref 34 ref 13232 ref appTerm 13234 def absTerm 13235 def 72 ref appTerm 13236 def betaConv 31 ref 11 ref 13235 ref appTerm 13237 def absTerm 13238 def 71 ref appTerm 13239 def betaConv 30 ref 11 ref 13238 ref appTerm 13240 def absTerm 13241 def 70 ref appTerm 13242 def betaConv 29 ref 11 ref 13241 ref appTerm 13243 def absTerm 13244 def 69 ref appTerm 13245 def betaConv 28 ref 17 ref 13244 ref appTerm 13246 def absTerm 13247 def 68 ref appTerm 13248 def betaConv 27 ref 17 ref 13247 ref appTerm 13249 def absTerm 13250 def 67 ref appTerm 13251 def betaConv 26 ref 11 ref 13250 ref appTerm 13252 def absTerm 13253 def 66 ref appTerm 13254 def betaConv 25 ref 11 ref 13253 ref appTerm 13255 def absTerm 13256 def 65 ref appTerm 13257 def betaConv 24 ref 11 ref 13256 ref appTerm 13258 def absTerm 13259 def 64 ref appTerm 13260 def betaConv 23 ref 17 ref 13259 ref appTerm 13261 def absTerm 13262 def 63 ref appTerm 13263 def betaConv 22 ref 11 ref 13262 ref appTerm 13264 def absTerm 13265 def 62 ref appTerm 13266 def betaConv 21 ref 11 ref 13265 ref appTerm 13267 def absTerm 13268 def 61 ref appTerm 13269 def betaConv 18 ref 17 ref 13268 ref appTerm 13270 def absTerm 13271 def 58 ref appTerm 13272 def betaConv 13 ref 17 ref 13271 ref appTerm 13273 def absTerm 13274 def 57 ref appTerm 13275 def betaConv 12 ref 11 ref 13274 ref appTerm 13276 def absTerm 13277 def 56 ref appTerm 13278 def betaConv 12913 remove 11 ref 13277 ref appTerm 13279 def absTerm 13280 def 12920 ref appTerm 13281 def betaConv 6 ref 11 ref 13280 ref appTerm 13282 def absTerm 13283 def 45 ref appTerm 13284 def betaConv nil 34 ref 13283 ref appTerm 13285 def axiom nil 399 ref 13285 remove nil cons cons 400 ref 13284 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13283 remove nil cons cons 461 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13282 remove nil cons cons 400 ref 13281 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13280 remove nil cons cons 470 ref 12920 ref nil cons cons nil cons 13286 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13279 remove nil cons cons 400 ref 13278 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13277 remove nil cons cons 472 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13276 remove nil cons cons 400 ref 13275 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13274 remove nil cons cons 474 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13273 remove nil cons cons 400 ref 13272 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 13271 remove nil cons cons 477 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13270 remove nil cons cons 400 ref 13269 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 13268 remove nil cons cons 483 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13267 remove nil cons cons 400 ref 13266 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13265 remove nil cons cons 484 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13264 remove nil cons cons 400 ref 13263 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13262 remove nil cons cons 485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13261 remove nil cons cons 400 ref 13260 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 13259 remove nil cons cons 487 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13258 remove nil cons cons 400 ref 13257 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13256 remove nil cons cons 488 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13255 remove nil cons cons 400 ref 13254 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13253 remove nil cons cons 489 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13252 remove nil cons cons 400 ref 13251 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13250 remove nil cons cons 490 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13249 remove nil cons cons 400 ref 13248 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 13247 remove nil cons cons 492 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13246 remove nil cons cons 400 ref 13245 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 13244 remove nil cons cons 494 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13243 remove nil cons cons 400 ref 13242 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13241 remove nil cons cons 495 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13240 remove nil cons cons 400 ref 13239 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13238 remove nil cons cons 496 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13237 remove nil cons cons 400 ref 13236 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13235 remove nil cons cons 497 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13234 remove nil cons cons 400 ref 13233 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13232 remove nil cons cons 498 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13231 remove nil cons cons 400 ref 13230 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13229 remove nil cons cons 479 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13228 remove nil cons cons 400 ref 13227 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13226 remove nil cons cons 481 ref cons nil cons cons 469 ref subst eqMp eqMp appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm 12982 ref refl appThm sym nil 399 ref 697 ref 4837 ref 6910 ref 706 ref 12919 remove 12930 remove 12939 ref 12952 remove 12956 remove 12962 remove 12965 remove 12968 remove 12971 remove 12974 remove 12977 remove 13225 ref appTerm 13287 def appTerm 13288 def appTerm 13289 def appTerm 13290 def appTerm 13291 def appTerm 13292 def appTerm 13293 def appTerm 13294 def appTerm 13295 def appTerm 13296 def appTerm 13297 def appTerm 13298 def appTerm 13299 def appTerm 13300 def appTerm nil cons 13301 def cons 400 ref 12982 ref nil cons 13302 def cons nil cons 13303 def cons nil cons cons 13304 def 416 ref subst 13304 remove 467 ref subst nil 817 remove 437 ref 13300 remove nil cons cons nil cons cons nil cons cons 13305 def 451 ref subst 13305 remove 515 ref subst nil 4926 remove 437 ref 13299 remove nil cons cons nil cons cons nil cons cons 13306 def 451 ref subst 13306 remove 515 ref subst nil 7050 remove 437 ref 13298 remove nil cons cons nil cons cons nil cons cons 13307 def 451 ref subst 13307 remove 515 ref subst nil 819 remove 437 ref 13297 remove nil cons cons nil cons cons nil cons cons 13308 def 451 ref subst 13308 remove 515 ref subst nil 435 ref 12918 ref nil cons cons 437 ref 13296 remove nil cons cons nil cons cons nil cons cons 13309 def 451 ref subst 13309 remove 515 ref subst nil 435 ref 12929 ref nil cons 13310 def cons 437 ref 13295 remove nil cons cons nil cons cons nil cons cons 13311 def 451 ref subst 13311 remove 515 ref subst nil 435 ref 12938 ref nil cons 13312 def cons 437 ref 13294 remove nil cons cons nil cons cons nil cons cons 13313 def 451 ref subst 13313 remove 515 ref subst nil 435 ref 12951 ref nil cons 13314 def cons 437 ref 13293 remove nil cons cons nil cons cons nil cons cons 13315 def 451 ref subst 13315 remove 515 ref subst nil 435 ref 12955 ref nil cons cons 437 ref 13292 remove nil cons cons nil cons cons nil cons cons 13316 def 451 ref subst 13316 remove 515 ref subst nil 435 ref 12961 remove nil cons 13317 def cons 437 ref 13291 remove nil cons cons nil cons cons nil cons cons 13318 def 451 ref subst 13318 remove 515 ref subst nil 435 ref 12964 remove nil cons 13319 def cons 437 ref 13290 remove nil cons cons nil cons cons nil cons cons 13320 def 451 ref subst 13320 remove 515 ref subst nil 435 ref 12967 remove nil cons 13321 def cons 437 ref 13289 remove nil cons cons nil cons cons nil cons cons 13322 def 451 ref subst 13322 remove 515 ref subst nil 435 ref 12970 remove nil cons 13323 def cons 437 ref 13288 remove nil cons cons nil cons cons nil cons cons 13324 def 451 ref subst 13324 remove 515 ref subst nil 435 ref 12973 remove nil cons 13325 def cons 437 ref 13287 remove nil cons cons nil cons cons nil cons cons 13326 def 451 ref subst 13326 remove 515 ref subst nil 435 ref 12976 remove nil cons 13327 def cons 437 ref 13225 ref nil cons 13328 def cons nil cons cons nil cons cons 13329 def 451 ref subst 13329 remove 515 ref subst nil 399 ref 13328 remove cons 13303 ref cons nil cons cons 459 ref subst nil 160 ref 825 ref 41 ref 13224 ref 826 remove appTerm 13330 def appTerm 12982 ref appTerm 13331 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 825 remove nil 150 ref 13331 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13330 ref nil cons 13332 def cons 13303 ref cons nil cons cons 13333 def 416 ref subst 13333 remove 467 ref subst 13330 ref betaConv 13330 remove assume eqMp nil 399 ref 169 ref 13069 ref 169 ref 13070 ref 169 ref 170 ref 172 ref 173 ref 172 ref 174 ref 172 ref 4938 ref 172 ref 4939 ref 169 ref 13071 ref 169 ref 13072 ref 169 ref 13073 ref 169 ref 13074 ref 169 ref 13075 ref 169 ref 13076 ref 169 ref 13077 ref 169 ref 13078 ref 169 ref 13079 ref 169 ref 13080 ref 169 ref 13081 ref 169 ref 13082 ref 169 ref 13083 ref 172 ref 13084 ref 172 ref 13085 ref 172 ref 13086 ref 172 remove 13087 ref 169 ref 13088 ref 169 remove 13089 ref 837 remove 839 remove 846 remove 848 remove 850 remove 852 remove 854 remove 856 remove 858 remove 841 remove 843 remove 42 ref 236 ref 835 ref appTerm 13334 def appTerm 42 ref 240 remove 835 ref appTerm 13335 def appTerm 42 ref 4995 remove 835 ref appTerm 13336 def appTerm 42 ref 4997 remove 835 ref appTerm 13337 def appTerm 42 ref 13091 remove 835 ref appTerm 13338 def appTerm 42 ref 13093 remove 835 ref appTerm 13339 def appTerm 42 ref 13095 remove 835 ref appTerm 13340 def appTerm 42 ref 13097 remove 835 remove appTerm 13341 def appTerm 13223 ref appTerm 13342 def appTerm 13343 def appTerm 13344 def appTerm 13345 def appTerm 13346 def appTerm 13347 def appTerm 13348 def appTerm 13349 def appTerm 13350 def appTerm 13351 def appTerm 13352 def appTerm 13353 def appTerm 13354 def appTerm 13355 def appTerm 13356 def appTerm 13357 def appTerm 13358 def appTerm 13359 def appTerm 13360 def absTerm 13361 def appTerm 13362 def absTerm 13363 def appTerm 13364 def absTerm 13365 def appTerm 13366 def absTerm 13367 def appTerm 13368 def absTerm 13369 def appTerm 13370 def absTerm 13371 def appTerm 13372 def absTerm 13373 def appTerm 13374 def absTerm 13375 def appTerm 13376 def absTerm 13377 def appTerm 13378 def absTerm 13379 def appTerm 13380 def absTerm 13381 def appTerm 13382 def absTerm 13383 def appTerm 13384 def absTerm 13385 def appTerm 13386 def absTerm 13387 def appTerm 13388 def absTerm 13389 def appTerm 13390 def absTerm 13391 def appTerm 13392 def absTerm 13393 def appTerm 13394 def absTerm 13395 def appTerm 13396 def absTerm 13397 def appTerm 13398 def absTerm 13399 def appTerm 13400 def absTerm 13401 def appTerm 13402 def absTerm 13403 def appTerm 13404 def absTerm 13405 def appTerm 13406 def absTerm 13407 def appTerm 13408 def absTerm 13409 def appTerm 13410 def absTerm 13411 def appTerm 13412 def nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13069 ref 41 ref 13411 ref 13106 ref appTerm 13413 def appTerm 12982 ref appTerm 13414 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13069 remove nil 150 ref 13414 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13413 ref nil cons 13415 def cons 13303 ref cons nil cons cons 13416 def 416 ref subst 13416 remove 467 ref subst 13413 ref betaConv 13413 remove assume eqMp nil 399 ref 13410 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13070 ref 41 ref 13409 ref 13110 ref appTerm 13417 def appTerm 12982 ref appTerm 13418 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13070 remove nil 150 ref 13418 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13417 ref nil cons 13419 def cons 13303 ref cons nil cons cons 13420 def 416 ref subst 13420 remove 467 ref subst 13417 ref betaConv 13417 remove assume eqMp nil 399 ref 13408 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 170 ref 41 ref 13407 ref 262 ref appTerm 13421 def appTerm 12982 ref appTerm 13422 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 170 remove nil 150 ref 13422 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13421 ref nil cons 13423 def cons 13303 ref cons nil cons cons 13424 def 416 ref subst 13424 remove 467 ref subst 13421 ref betaConv 13421 remove assume eqMp nil 399 ref 13406 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 173 ref 41 ref 13405 ref 234 ref appTerm 13425 def appTerm 12982 ref appTerm 13426 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 173 remove nil 150 ref 13426 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13425 ref nil cons 13427 def cons 13303 ref cons nil cons cons 13428 def 416 ref subst 13428 remove 467 ref subst 13425 ref betaConv 13425 remove assume eqMp nil 399 ref 13404 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 174 ref 41 ref 13403 ref 238 ref appTerm 13429 def appTerm 12982 ref appTerm 13430 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 174 remove nil 150 ref 13430 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13429 ref nil cons 13431 def cons 13303 ref cons nil cons cons 13432 def 416 ref subst 13432 remove 467 ref subst 13429 ref betaConv 13429 remove assume eqMp nil 399 ref 13402 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4938 ref 41 ref 13401 ref 4994 ref appTerm 13433 def appTerm 12982 ref appTerm 13434 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4938 remove nil 150 ref 13434 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13433 ref nil cons 13435 def cons 13303 ref cons nil cons cons 13436 def 416 ref subst 13436 remove 467 ref subst 13433 ref betaConv 13433 remove assume eqMp nil 399 ref 13400 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 4939 ref 41 ref 13399 ref 4996 ref appTerm 13437 def appTerm 12982 ref appTerm 13438 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 4939 remove nil 150 ref 13438 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13437 ref nil cons 13439 def cons 13303 ref cons nil cons cons 13440 def 416 ref subst 13440 remove 467 ref subst 13437 ref betaConv 13437 remove assume eqMp nil 399 ref 13398 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13071 ref 41 ref 13397 ref 13139 ref appTerm 13441 def appTerm 12982 ref appTerm 13442 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13071 remove nil 150 ref 13442 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13441 ref nil cons 13443 def cons 13303 ref cons nil cons cons 13444 def 416 ref subst 13444 remove 467 ref subst 13441 ref betaConv 13441 remove assume eqMp nil 399 ref 13396 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13072 ref 41 ref 13395 ref 13142 ref appTerm 13445 def appTerm 12982 ref appTerm 13446 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13072 remove nil 150 ref 13446 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13445 ref nil cons 13447 def cons 13303 ref cons nil cons cons 13448 def 416 ref subst 13448 remove 467 ref subst 13445 ref betaConv 13445 remove assume eqMp nil 399 ref 13394 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13073 ref 41 ref 13393 ref 13108 ref appTerm 13449 def appTerm 12982 ref appTerm 13450 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13073 remove nil 150 ref 13450 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13449 ref nil cons 13451 def cons 13303 ref cons nil cons cons 13452 def 416 ref subst 13452 remove 467 ref subst 13449 ref betaConv 13449 remove assume eqMp nil 399 ref 13392 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13074 ref 41 ref 13391 ref 13113 ref appTerm 13453 def appTerm 12982 ref appTerm 13454 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13074 remove nil 150 ref 13454 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13453 ref nil cons 13455 def cons 13303 ref cons nil cons cons 13456 def 416 ref subst 13456 remove 467 ref subst 13453 ref betaConv 13453 remove assume eqMp nil 399 ref 13390 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13075 ref 41 ref 13389 ref 13117 ref appTerm 13457 def appTerm 12982 ref appTerm 13458 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13075 remove nil 150 ref 13458 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13457 ref nil cons 13459 def cons 13303 ref cons nil cons cons 13460 def 416 ref subst 13460 remove 467 ref subst 13457 ref betaConv 13457 remove assume eqMp nil 399 ref 13388 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13076 ref 41 ref 13387 ref 13121 ref appTerm 13461 def appTerm 12982 ref appTerm 13462 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13076 remove nil 150 ref 13462 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13461 ref nil cons 13463 def cons 13303 ref cons nil cons cons 13464 def 416 ref subst 13464 remove 467 ref subst 13461 ref betaConv 13461 remove assume eqMp nil 399 ref 13386 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13077 ref 41 ref 13385 ref 13146 ref appTerm 13465 def appTerm 12982 ref appTerm 13466 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13077 remove nil 150 ref 13466 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13465 ref nil cons 13467 def cons 13303 ref cons nil cons cons 13468 def 416 ref subst 13468 remove 467 ref subst 13465 ref betaConv 13465 remove assume eqMp nil 399 ref 13384 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13078 ref 41 ref 13383 ref 13149 ref appTerm 13469 def appTerm 12982 ref appTerm 13470 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13078 remove nil 150 ref 13470 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13469 ref nil cons 13471 def cons 13303 ref cons nil cons cons 13472 def 416 ref subst 13472 remove 467 ref subst 13469 ref betaConv 13469 remove assume eqMp nil 399 ref 13382 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13079 ref 41 ref 13381 ref 13125 ref appTerm 13473 def appTerm 12982 ref appTerm 13474 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13079 remove nil 150 ref 13474 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13473 ref nil cons 13475 def cons 13303 ref cons nil cons cons 13476 def 416 ref subst 13476 remove 467 ref subst 13473 ref betaConv 13473 remove assume eqMp nil 399 ref 13380 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13080 ref 41 ref 13379 ref 13131 ref appTerm 13477 def appTerm 12982 ref appTerm 13478 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13080 remove nil 150 ref 13478 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13477 ref nil cons 13479 def cons 13303 ref cons nil cons cons 13480 def 416 ref subst 13480 remove 467 ref subst 13477 ref betaConv 13477 remove assume eqMp nil 399 ref 13378 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13081 ref 41 ref 13377 ref 13134 ref appTerm 13481 def appTerm 12982 ref appTerm 13482 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13081 remove nil 150 ref 13482 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13481 ref nil cons 13483 def cons 13303 ref cons nil cons cons 13484 def 416 ref subst 13484 remove 467 ref subst 13481 ref betaConv 13481 remove assume eqMp nil 399 ref 13376 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13082 ref 41 ref 13375 ref 13153 ref appTerm 13485 def appTerm 12982 ref appTerm 13486 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13082 remove nil 150 ref 13486 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13485 ref nil cons 13487 def cons 13303 ref cons nil cons cons 13488 def 416 ref subst 13488 remove 467 ref subst 13485 ref betaConv 13485 remove assume eqMp nil 399 ref 13374 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13083 ref 41 ref 13373 ref 13100 ref appTerm 13489 def appTerm 12982 ref appTerm 13490 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13083 remove nil 150 ref 13490 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13489 ref nil cons 13491 def cons 13303 ref cons nil cons cons 13492 def 416 ref subst 13492 remove 467 ref subst 13489 ref betaConv 13489 remove assume eqMp nil 399 ref 13372 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 13084 ref 41 ref 13371 ref 13090 ref appTerm 13493 def appTerm 12982 ref appTerm 13494 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 13084 remove nil 150 ref 13494 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13493 ref nil cons 13495 def cons 13303 ref cons nil cons cons 13496 def 416 ref subst 13496 remove 467 ref subst 13493 ref betaConv 13493 remove assume eqMp nil 399 ref 13370 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 13085 ref 41 ref 13369 ref 13092 ref appTerm 13497 def appTerm 12982 ref appTerm 13498 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 13085 remove nil 150 ref 13498 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13497 ref nil cons 13499 def cons 13303 ref cons nil cons cons 13500 def 416 ref subst 13500 remove 467 ref subst 13497 ref betaConv 13497 remove assume eqMp nil 399 ref 13368 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 13086 ref 41 ref 13367 ref 13094 ref appTerm 13501 def appTerm 12982 ref appTerm 13502 def absTerm nil cons cons nil cons nil cons cons 159 ref subst 13086 remove nil 150 ref 13502 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13501 ref nil cons 13503 def cons 13303 ref cons nil cons cons 13504 def 416 ref subst 13504 remove 467 ref subst 13501 ref betaConv 13501 remove assume eqMp nil 399 ref 13366 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 156 ref 13087 ref 41 ref 13365 ref 13096 ref appTerm 13505 def appTerm 12982 ref appTerm 13506 def absTerm nil cons cons nil cons nil cons cons 159 remove subst 13087 remove nil 150 ref 13506 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13505 ref nil cons 13507 def cons 13303 ref cons nil cons cons 13508 def 416 ref subst 13508 remove 467 ref subst 13505 ref betaConv 13505 remove assume eqMp nil 399 ref 13364 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13088 ref 41 ref 13363 ref 13102 ref appTerm 13509 def appTerm 12982 ref appTerm 13510 def absTerm nil cons cons nil cons nil cons cons 149 ref subst 13088 remove nil 150 ref 13510 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13509 ref nil cons 13511 def cons 13303 ref cons nil cons cons 13512 def 416 ref subst 13512 remove 467 ref subst 13509 ref betaConv 13509 remove assume eqMp nil 399 ref 13362 ref nil cons cons 13303 ref cons nil cons cons 459 ref subst proveHyp nil 5 ref 13089 ref 41 ref 13361 ref 13104 ref appTerm 13513 def appTerm 12982 ref appTerm 13514 def absTerm nil cons cons nil cons nil cons cons 149 remove subst 13089 remove nil 150 ref 13514 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13513 ref nil cons 13515 def cons 13303 ref cons nil cons cons 13516 def 416 ref subst 13516 remove 467 ref subst 13513 ref betaConv 13513 remove assume eqMp nil 399 ref 13360 remove nil cons 13517 def cons 13303 ref cons nil cons cons 13518 def 459 ref subst proveHyp 13518 ref 416 ref subst 13518 remove 467 ref subst nil 969 remove 437 ref 13359 remove nil cons cons nil cons cons nil cons cons 13519 def 451 ref subst 13519 remove 515 ref subst nil 972 remove 437 ref 13358 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 978 remove 437 ref 13357 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 980 remove 437 ref 13356 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 982 remove 437 ref 13355 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 984 remove 437 ref 13354 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 986 remove 437 ref 13353 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 989 remove 437 ref 13352 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 991 remove 437 ref 13351 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 974 remove 437 ref 13350 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 976 remove 437 ref 13349 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 13334 ref nil cons cons 437 ref 13348 remove nil cons cons nil cons cons nil cons cons 13520 def 451 ref subst 13520 remove 515 ref subst nil 435 ref 13335 remove nil cons cons 437 ref 13347 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 13336 remove nil cons cons 437 ref 13346 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 13337 remove nil cons cons 437 ref 13345 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 13338 remove nil cons cons 437 ref 13344 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 13339 remove nil cons cons 437 ref 13343 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 13340 remove nil cons cons 437 ref 13342 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 13341 remove nil cons cons 437 ref 13223 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 13101 ref nil cons 13521 def cons 437 ref 13222 remove nil cons cons nil cons cons nil cons cons 13522 def 451 ref subst 13522 remove 515 ref subst nil 435 ref 13105 ref nil cons 13523 def cons 437 ref 13221 remove nil cons cons nil cons cons nil cons cons 13524 def 451 ref subst 13524 remove 515 ref subst nil 435 ref 13109 ref nil cons 13525 def cons 437 ref 13220 remove nil cons cons nil cons cons nil cons cons 13526 def 451 ref subst 13526 remove 515 ref subst nil 435 ref 13114 ref nil cons 13527 def cons 437 ref 13219 remove nil cons cons nil cons cons nil cons cons 13528 def 451 ref subst 13528 remove 515 ref subst nil 435 ref 13118 ref nil cons 13529 def cons 437 ref 13218 remove nil cons cons nil cons cons nil cons cons 13530 def 451 ref subst 13530 remove 515 ref subst nil 435 ref 13122 ref nil cons 13531 def cons 437 ref 13217 remove nil cons cons nil cons cons nil cons cons 13532 def 451 ref subst 13532 remove 515 ref subst nil 435 ref 13126 ref nil cons 13533 def cons 437 ref 13216 remove nil cons cons nil cons cons nil cons cons 13534 def 451 ref subst 13534 remove 515 ref subst nil 435 ref 13132 ref nil cons 13535 def cons 437 ref 13215 remove nil cons cons nil cons cons nil cons cons 13536 def 451 ref subst 13536 remove 515 ref subst nil 435 ref 13135 ref nil cons 13537 def cons 437 ref 13214 remove nil cons cons nil cons cons nil cons cons 13538 def 451 ref subst 13538 remove 515 ref subst nil 435 ref 13140 ref nil cons 13539 def cons 437 ref 13213 remove nil cons cons nil cons cons nil cons cons 13540 def 451 ref subst 13540 remove 515 ref subst nil 435 ref 13143 ref nil cons 13541 def cons 437 ref 13212 remove nil cons cons nil cons cons nil cons cons 13542 def 451 ref subst 13542 remove 515 ref subst nil 435 ref 13147 ref nil cons 13543 def cons 437 ref 13211 remove nil cons cons nil cons cons nil cons cons 13544 def 451 ref subst 13544 remove 515 ref subst nil 435 ref 13150 ref nil cons 13545 def cons 437 ref 13210 remove nil cons cons nil cons cons nil cons cons 13546 def 451 ref subst 13546 remove 515 ref subst nil 435 ref 13154 ref nil cons 13547 def cons 437 ref 13209 remove nil cons cons nil cons cons nil cons cons 13548 def 451 ref subst 13548 remove 515 ref subst nil 435 ref 13159 ref nil cons 13549 def cons 437 ref 13208 remove nil cons cons nil cons cons nil cons cons 13550 def 451 ref subst 13550 remove 515 ref subst nil 435 ref 13167 ref nil cons 13551 def cons 437 ref 13207 remove nil cons cons nil cons cons nil cons cons 13552 def 451 ref subst 13552 remove 515 ref subst nil 435 ref 13171 ref nil cons 13553 def cons 437 ref 13206 remove nil cons cons nil cons cons nil cons cons 13554 def 451 ref subst 13554 remove 515 ref subst nil 435 ref 13175 ref nil cons 13555 def cons 437 ref 13205 remove nil cons cons nil cons cons nil cons cons 13556 def 451 ref subst 13556 remove 515 ref subst nil 435 ref 13178 ref nil cons 13557 def cons 437 ref 13204 remove nil cons cons nil cons cons nil cons cons 13558 def 451 ref subst 13558 remove 515 ref subst nil 435 ref 13181 ref nil cons 13559 def cons 437 ref 13203 remove nil cons cons nil cons cons nil cons cons 13560 def 451 ref subst 13560 remove 515 ref subst nil 435 ref 13185 ref nil cons 13561 def cons 437 ref 13202 remove nil cons cons nil cons cons nil cons cons 13562 def 451 ref subst 13562 remove 515 ref subst nil 435 ref 13187 ref nil cons 13563 def cons 437 ref 13201 remove nil cons cons nil cons cons nil cons cons 13564 def 451 ref subst 13564 remove 515 ref subst nil 435 ref 13189 ref nil cons 13565 def cons 437 ref 13200 remove nil cons cons nil cons cons nil cons cons 13566 def 451 ref subst 13566 remove 515 ref subst nil 435 ref 13191 ref nil cons 13567 def cons 437 ref 13199 remove nil cons cons nil cons cons nil cons cons 13568 def 451 ref subst 13568 remove 515 ref subst nil 435 ref 13193 ref nil cons 13569 def cons 437 ref 13198 remove nil cons cons nil cons cons nil cons cons 13570 def 451 ref subst 13570 remove 515 ref subst nil 435 ref 13195 ref nil cons 13571 def cons 437 ref 13197 ref nil cons 13572 def cons nil cons cons nil cons cons 13573 def 451 ref subst 13573 remove 515 ref subst nil 3264 ref 13303 ref cons nil cons cons 13574 def 416 ref subst 13574 remove 467 ref subst nil 399 ref 77 ref 4372 ref appTerm 13575 def nil cons 13576 def cons 13577 def 13303 ref cons nil cons cons 13578 def 416 ref subst 13578 remove 467 ref subst nil 399 ref 13314 remove cons 13303 ref cons nil cons cons 459 ref subst 6237 ref 1009 ref appTerm 13579 def betaConv 6240 ref nil 6241 ref 400 ref 13579 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6242 ref 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6236 remove nil cons cons 400 ref 41 ref 12951 ref appTerm 12982 ref appTerm 13580 def nil cons 13581 def cons nil cons 13582 def cons nil cons cons 459 ref subst proveHyp 165 ref 1508 ref nil 13577 remove 400 ref 129 ref 4372 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 4372 ref nil cons 13583 def cons 13584 def nil cons nil cons cons 1932 ref subst eqMp appThm 6235 ref refl appThm nil 150 ref 6235 ref nil cons cons nil cons nil cons cons 1541 ref subst trans appThm 13580 ref refl appThm sym nil 160 ref "ms" 14 ref var 13585 def 41 ref 6234 ref 13585 ref varTerm 13586 def appTerm 13587 def appTerm 13580 ref appTerm 13588 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 13585 remove nil 150 ref 13588 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13587 ref nil cons 13589 def cons 13582 ref cons nil cons cons 13590 def 416 ref subst 13590 remove 467 ref subst 13587 ref betaConv 13587 remove assume eqMp nil 399 ref 1106 ref 1285 ref 13586 ref appTerm 13591 def appTerm 13592 def nil cons 13593 def cons 13582 remove cons nil cons cons 13594 def 459 ref subst proveHyp 13594 ref 416 ref subst 13594 remove 467 ref subst 129 ref "_48412" 14 ref var 13595 def 41 ref 180 ref 12947 ref 13595 remove varTerm 13596 def appTerm appTerm 12950 ref appTerm appTerm 12979 ref 12981 ref 2217 ref 2195 ref 4370 ref 738 ref 13596 remove appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm appTerm appTerm absTerm 13597 def 1009 ref appTerm 13598 def appTerm refl 13597 ref 13591 ref appTerm betaConv appThm 439 ref 13598 remove betaConv appThm 41 ref 180 ref 12947 ref 13591 ref appTerm appTerm 12950 ref appTerm appTerm 12979 ref 12981 ref 2217 ref 2195 ref 4370 ref 738 ref 13591 ref appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm 13599 def appTerm appTerm 13600 def appTerm refl appThm trans 13597 remove refl 13592 remove assume 13601 def appThm eqMp sym 165 ref 1131 ref nil 1003 ref 13586 ref nil cons 13602 def cons 13603 def 1006 ref 12946 ref nil cons 13604 def cons nil cons 13605 def cons nil cons cons 1324 ref subst appThm 12950 ref refl 13606 def appThm appThm 13600 remove refl appThm sym 165 ref 1131 ref nil 1006 ref 12947 ref 13586 ref appTerm 13607 def nil cons cons nil cons 13608 def nil cons cons 4539 ref subst appThm 13606 remove appThm nil 1003 ref 12949 ref nil cons 13609 def cons 2073 ref 13608 remove cons cons nil cons cons 2889 ref subst trans appThm 12979 ref refl 12981 ref refl 2793 ref 3238 ref 4370 ref refl 13610 def 4637 ref nil 1006 ref 13602 ref cons nil cons 13611 def nil cons cons 13612 def 4539 ref subst 13613 def appThm appThm appThm 4868 ref refl 13614 def appThm appThm 1703 ref appThm 13615 def appThm appThm appThm sym nil 399 ref 180 ref 13607 remove appTerm 12949 ref appTerm 13616 def nil cons 13617 def cons 400 ref 12979 remove 12981 remove 2217 ref 2195 ref 4370 ref 738 ref 187 ref 13586 ref appTerm 192 ref appTerm 13618 def appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm 13619 def appTerm appTerm nil cons 13620 def cons nil cons cons nil cons cons 13621 def 416 ref subst 13621 remove 467 ref subst nil 160 ref 707 ref 180 ref 12959 remove appTerm 13622 def 187 ref 713 ref 7329 ref appTerm 13623 def appTerm 13137 ref appTerm 13624 def appTerm 13625 def absTerm 13626 def nil cons cons 13627 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 13625 remove nil cons cons nil cons nil cons cons 155 ref subst 13622 remove refl nil 1116 ref 13137 ref nil cons 13628 def cons 13629 def 8782 ref 7786 ref cons cons nil cons cons 1169 ref subst 7837 ref nil 13629 ref 8783 ref cons nil cons cons 1169 ref subst 13630 def appThm trans appThm nil 1116 ref 7328 ref 2714 ref 13137 ref appTerm 13631 def appTerm 13632 def nil cons cons 1003 ref 12958 remove nil cons cons 7786 ref cons cons nil cons cons 1192 ref subst trans sym 1131 ref nil 7670 ref 1006 ref 12917 ref nil cons 13633 def cons 13634 def nil cons 13635 def cons nil cons cons 13636 def 1210 ref subst appThm 13632 ref refl appThm sym nil 1116 ref 13631 ref nil cons cons 13637 def 1003 ref 13633 ref cons 13638 def 7647 ref cons 13639 def cons nil cons cons 1192 ref subst sym 180 ref 12917 ref appTerm refl 13640 def nil 1003 ref 13628 ref cons 13641 def 4159 ref cons nil cons cons 1210 ref subst 13642 def appThm sym 13640 remove nil 2073 ref 12476 ref 1008 ref cons 13643 def cons nil cons cons 13644 def 1169 ref subst 13645 def 12918 remove assume 13646 def trans 13647 def appThm nil 475 ref 13633 ref cons nil cons 13648 def nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp absThm eqMp 625 ref 603 ref 707 ref 12933 ref refl 13649 def 439 ref 78 ref refl 13626 ref 708 ref appTerm 13650 def betaConv nil 399 ref 17 ref 13626 remove appTerm nil cons cons 400 ref 13650 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 13627 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 13651 def appThm appThm 7440 ref refl 13652 def appThm appThm absThm appThm appThm 1131 ref 2793 ref 1368 ref 3190 ref 2233 ref refl nil 707 ref 12931 ref nil cons 13653 def cons nil cons nil cons cons 13651 remove subst 13654 def appThm appThm appThm 2814 ref 3190 ref 2234 ref refl 13654 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm 13619 ref refl 13655 def appThm appThm sym 3843 ref 17 ref 38 ref 41 ref 13184 remove 3844 ref appTerm appTerm 3846 ref 42 ref 77 ref 44 ref 13139 ref appTerm 13656 def 47 ref appTerm 13657 def appTerm appTerm 13658 def 77 ref 44 ref 13146 ref appTerm 13659 def 47 ref appTerm 13660 def appTerm appTerm 13661 def appTerm appTerm absTerm appTerm absTerm 13662 def 73 ref appTerm 13663 def betaConv 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 13183 remove 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 13658 remove 77 ref 583 ref appTerm 13664 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13665 def 13146 ref appTerm 13666 def betaConv 460 ref 34 ref 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 13182 remove 589 ref appTerm 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 42 ref 77 ref 591 ref appTerm 13667 def appTerm 13664 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13668 def 13139 ref appTerm 13669 def betaConv nil 34 ref 13668 ref appTerm 13670 def axiom nil 399 ref 13670 remove nil cons cons 400 ref 13669 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13668 remove nil cons cons 460 ref 13139 ref nil cons cons nil cons 13671 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13665 ref appTerm nil cons cons 400 ref 13666 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13665 remove nil cons cons 460 ref 13146 ref nil cons cons nil cons 13672 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13662 ref appTerm nil cons cons 400 ref 13663 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13662 remove nil cons cons 498 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 38 ref 41 ref 13185 ref appTerm 600 remove 13661 remove appTerm 13673 def appTerm absTerm appTerm nil cons cons 400 ref 42 ref 17 ref 707 ref 12933 ref 129 ref 78 remove 13624 ref appTerm appTerm 7440 ref appTerm appTerm absTerm appTerm appTerm 180 ref 2217 ref 187 ref 726 ref 2233 ref 187 ref 713 ref 187 ref 12931 ref appTerm 192 ref appTerm 13674 def appTerm 13675 def appTerm 13137 ref appTerm 13676 def appTerm appTerm appTerm 2196 ref 726 ref 2234 ref 13676 ref appTerm appTerm appTerm 13677 def appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm 13678 def appTerm 13679 def nil cons 13680 def cons nil cons 13681 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13561 remove cons nil cons nil cons cons 155 ref subst 13185 remove assume eqMp appThm 13673 ref refl appThm nil 150 ref 13673 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 13679 remove refl appThm sym nil 399 ref 17 ref 38 ref 13673 remove absTerm 13682 def appTerm nil cons 13683 def cons 13684 def 13681 remove cons nil cons cons 13685 def 416 ref subst 13685 remove 467 ref subst 625 ref 603 ref 707 ref 13649 ref 439 ref nil 38 ref 13624 ref nil cons cons nil cons nil cons cons 13682 ref 47 ref appTerm 13686 def betaConv nil 13684 remove 400 ref 13686 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13682 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 13652 ref appThm appThm absThm appThm appThm 13678 ref refl appThm sym 2661 ref 17 ref 38 ref 41 ref 13186 remove 2667 ref appTerm appTerm 9698 ref 12409 ref appTerm appTerm absTerm appTerm absTerm 13687 def 59 ref appTerm 13688 def betaConv 9701 ref 234 ref appTerm 13689 def betaConv 9704 ref nil 9705 ref 400 ref 13689 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9706 ref 9219 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 13687 ref appTerm nil cons cons 400 ref 13688 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13687 remove nil cons cons 479 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 38 ref 41 ref 13187 ref appTerm 2206 ref 2233 remove 47 ref appTerm appTerm 12409 ref appTerm 13690 def appTerm absTerm appTerm nil cons cons 400 ref 42 ref 17 ref 707 ref 12933 ref 129 ref 42 ref 77 ref 13656 ref 13624 ref appTerm appTerm appTerm 77 ref 13659 ref 13624 remove appTerm appTerm 13691 def appTerm appTerm 7440 ref appTerm appTerm absTerm appTerm appTerm 13692 def 13678 remove appTerm 13693 def nil cons 13694 def cons nil cons 13695 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13563 remove cons nil cons nil cons cons 155 ref subst 13187 remove assume eqMp appThm 13690 ref refl appThm nil 150 ref 13690 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 13693 remove refl appThm sym nil 399 ref 17 ref 38 ref 13690 remove absTerm 13696 def appTerm nil cons 13697 def cons 13698 def 13695 remove cons nil cons cons 13699 def 416 ref subst 13699 remove 467 ref subst 13692 ref refl 13700 def 1131 ref 2793 ref 1368 ref 3190 ref nil 38 ref 13676 ref nil cons 13701 def cons nil cons nil cons cons 13702 def 13696 ref 47 ref appTerm 13703 def betaConv nil 13698 remove 400 ref 13703 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13696 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm appThm 13677 ref refl appThm appThm 1703 ref appThm appThm 13655 ref appThm appThm sym 2661 ref 17 ref 38 ref 41 ref 13188 remove 2667 ref appTerm appTerm 9698 remove 12445 ref appTerm appTerm absTerm appTerm absTerm 13704 def 60 ref appTerm 13705 def betaConv 9701 remove 238 ref appTerm 13706 def betaConv 9704 remove nil 9705 remove 400 ref 13706 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9706 remove 9485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 13704 ref appTerm nil cons cons 400 ref 13705 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13704 remove nil cons cons 481 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 38 ref 41 ref 13189 ref appTerm 2206 ref 2234 remove 47 ref appTerm appTerm 12445 ref appTerm 13707 def appTerm absTerm appTerm nil cons cons 400 ref 13692 ref 180 ref 2217 ref 187 ref 726 ref 7321 ref 13676 ref appTerm 13708 def appTerm appTerm 13709 def 13677 remove appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm appTerm 13710 def nil cons 13711 def cons nil cons 13712 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13565 remove cons nil cons nil cons cons 155 ref subst 13189 remove assume eqMp appThm 13707 ref refl appThm nil 150 ref 13707 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 13710 remove refl appThm sym nil 399 ref 17 ref 38 ref 13707 remove absTerm 13713 def appTerm nil cons 13714 def cons 13715 def 13712 remove cons nil cons cons 13716 def 416 ref subst 13716 remove 467 ref subst 13700 remove 1131 ref 2793 ref 13709 ref refl 2814 ref 3190 ref 13702 ref 13713 ref 47 ref appTerm 13717 def betaConv nil 13715 remove 400 ref 13717 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13713 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm appThm appThm appThm 1703 ref appThm appThm 13655 ref appThm appThm sym 3457 ref 17 ref 38 ref 41 ref 13138 remove 3458 ref appTerm appTerm 129 ref 3459 remove 713 ref 13137 ref appTerm 13718 def appTerm appTerm 13719 def 44 ref 13106 ref appTerm 13720 def 47 ref appTerm 13721 def appTerm appTerm absTerm appTerm absTerm 13722 def 13139 ref appTerm 13723 def betaConv 1014 ref 34 ref 3457 ref 17 ref 38 ref 41 ref 13136 remove 1017 ref appTerm 3458 ref appTerm appTerm 3460 ref 13721 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13724 def 13137 ref appTerm 13725 def betaConv 3466 ref 13106 ref appTerm 13726 def betaConv 3469 ref nil 3470 ref 400 ref 13726 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3471 ref 460 ref 13106 ref nil cons cons nil cons 13727 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 13724 ref appTerm nil cons cons 400 ref 13725 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 13724 remove nil cons cons 475 ref 13628 ref cons nil cons 13728 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13722 ref appTerm nil cons cons 400 ref 13723 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13722 remove nil cons cons 13671 ref cons nil cons cons 469 ref subst eqMp eqMp 13729 def nil 399 ref 17 ref 38 ref 41 ref 13140 ref appTerm 129 ref 13656 ref 13718 ref appTerm appTerm 13721 ref appTerm 13730 def appTerm absTerm appTerm nil cons cons 13731 def 400 ref 13692 remove 180 ref 2217 ref 13709 remove 2196 ref 726 ref 7322 ref 13676 ref appTerm 13732 def appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm 13733 def appTerm 13734 def nil cons 13735 def cons nil cons 13736 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13539 remove cons nil cons nil cons cons 155 ref subst 13140 remove assume eqMp appThm 13730 ref refl appThm nil 150 ref 13730 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 13737 def 13734 remove refl appThm sym nil 399 ref 17 ref 38 ref 13730 remove absTerm 13738 def appTerm nil cons 13739 def cons 13740 def 13736 remove cons nil cons cons 13741 def 416 ref subst 13741 remove 467 ref subst 625 ref 603 ref 707 ref 13649 ref 439 ref 625 ref 620 ref nil 38 ref 13623 ref nil cons cons nil cons nil cons cons 13742 def 13738 ref 47 ref appTerm 13743 def betaConv nil 13740 ref 400 ref 13743 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13738 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 13744 def subst appThm appThm 13691 ref refl appThm appThm 13652 ref appThm appThm absThm appThm appThm 13733 ref refl 13745 def appThm sym 3457 ref 17 ref 38 ref 41 ref 13145 remove 3458 ref appTerm appTerm 13719 remove 44 ref 13110 ref appTerm 13746 def 47 ref appTerm 13747 def appTerm appTerm absTerm appTerm absTerm 13748 def 13146 ref appTerm 13749 def betaConv 1014 ref 34 ref 3457 remove 17 ref 38 ref 41 ref 13144 remove 1017 ref appTerm 3458 remove appTerm appTerm 3460 remove 13747 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13750 def 13137 ref appTerm 13751 def betaConv 3466 remove 13110 ref appTerm 13752 def betaConv 3469 remove nil 3470 remove 400 ref 13752 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3471 remove 460 ref 13110 ref nil cons cons nil cons 13753 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 13750 ref appTerm nil cons cons 400 ref 13751 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 13750 remove nil cons cons 13728 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13748 ref appTerm nil cons cons 400 ref 13749 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13748 remove nil cons cons 13672 ref cons nil cons cons 469 ref subst eqMp eqMp 13754 def nil 399 ref 17 ref 38 ref 41 ref 13147 ref appTerm 129 ref 13659 ref 13718 remove appTerm appTerm 13747 ref appTerm 13755 def appTerm absTerm appTerm nil cons cons 13756 def 400 ref 42 ref 17 ref 707 ref 12933 ref 129 ref 42 ref 77 ref 13720 ref 13623 ref appTerm 13757 def appTerm 13758 def appTerm 13759 def 13691 remove appTerm appTerm 7440 ref appTerm appTerm absTerm appTerm appTerm 13733 ref appTerm 13760 def nil cons 13761 def cons nil cons 13762 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13543 remove cons nil cons nil cons cons 155 ref subst 13147 remove assume eqMp appThm 13755 ref refl appThm nil 150 ref 13755 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 13763 def 13760 remove refl appThm sym nil 399 ref 17 ref 38 ref 13755 remove absTerm 13764 def appTerm nil cons 13765 def cons 13766 def 13762 remove cons nil cons cons 13767 def 416 ref subst 13767 remove 467 ref subst 625 ref 603 ref 707 ref 13649 remove 439 ref 13759 ref refl 620 ref 13742 remove 13764 ref 47 ref appTerm 13768 def betaConv nil 13766 ref 400 ref 13768 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13764 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 13769 def subst appThm appThm appThm 13652 remove appThm appThm absThm appThm appThm 13745 remove appThm sym nil 399 ref 13312 remove cons 13770 def 400 ref 42 ref 17 ref 707 ref 12933 remove 129 ref 13759 remove 77 ref 13746 ref 13623 remove appTerm 13771 def appTerm 13772 def appTerm 13773 def appTerm 13774 def 7440 remove appTerm 13775 def appTerm absTerm 13776 def appTerm 13777 def appTerm 13733 ref appTerm 13778 def nil cons 13779 def cons 13780 def nil cons cons nil cons cons 459 ref subst 7366 ref 41 ref 12938 remove appTerm 13778 ref appTerm 13781 def absTerm 13782 def 7367 ref appTerm 13783 def betaConv 13784 def 165 ref 603 ref 707 ref 165 ref 709 ref refl 13785 def 12779 remove 1366 ref subst 13786 def appThm appThm 13787 def 12935 ref refl appThm absThm appThm appThm 625 ref 603 ref 707 ref 13787 remove 13775 ref refl 13788 def appThm absThm appThm appThm 1131 ref 2793 ref 1368 ref 3190 ref 7321 ref refl 13789 def 1368 ref 7837 ref 1368 ref 13786 remove appThm 2100 ref appThm appThm appThm 13137 ref refl 13790 def appThm 13791 def appThm appThm appThm 2814 ref 3190 ref 9405 ref 13791 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm 13655 ref appThm appThm appThm sym nil 399 ref 17 ref 707 ref 41 ref 709 ref 1017 ref appTerm 13792 def appTerm 13793 def 12935 ref appTerm 13794 def absTerm 13795 def appTerm 13796 def nil cons 13797 def cons 13798 def 400 ref 42 ref 17 ref 707 ref 13793 remove 13775 ref appTerm absTerm appTerm appTerm 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 713 ref 7441 remove appTerm appTerm 13137 ref appTerm 13799 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 13799 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm appTerm 13800 def nil cons 13801 def cons nil cons 13802 def cons nil cons cons 13803 def 416 ref subst 13803 remove 467 ref subst nil 160 ref 707 ref 41 ref 12934 ref appTerm 42 ref 13757 ref appTerm 13771 ref appTerm 13804 def appTerm 13805 def absTerm 13806 def nil cons cons 13807 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 13805 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12934 ref nil cons 13808 def cons 13809 def 400 ref 13804 remove nil cons 13810 def cons nil cons cons nil cons cons 13811 def 416 ref subst 13811 ref 467 ref subst 625 ref 13720 ref refl 13812 def nil 2073 ref 7787 remove cons nil cons cons 2078 ref subst 13813 def appThm appThm 13746 ref refl 13814 def 13813 remove appThm appThm sym 580 ref 17 ref 38 ref 41 ref 13190 remove 581 ref appTerm appTerm 9881 ref 44 ref 13121 ref appTerm 13815 def 47 ref appTerm 13816 def appTerm appTerm absTerm appTerm absTerm 13817 def 13106 ref appTerm 13818 def betaConv 9884 ref 13121 ref appTerm 13819 def betaConv 9887 ref nil 9888 ref 400 ref 13819 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 9889 ref 460 ref 13121 ref nil cons cons nil cons 13820 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13817 ref appTerm nil cons cons 400 ref 13818 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13817 remove nil cons cons 13727 ref cons nil cons cons 469 ref subst eqMp eqMp 13821 def nil 399 ref 17 ref 38 ref 41 ref 13191 ref appTerm 129 ref 13720 ref 9727 ref appTerm 13822 def appTerm 13816 ref appTerm 13823 def appTerm absTerm appTerm nil cons cons 13824 def 400 ref 42 ref 13720 ref 7794 remove 192 ref appTerm 13825 def appTerm appTerm 13746 ref 13825 remove appTerm 13826 def appTerm 13827 def nil cons 13828 def cons nil cons 13829 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13567 remove cons nil cons nil cons cons 155 ref subst 13191 remove assume eqMp appThm 13823 ref refl appThm nil 150 ref 13823 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 13830 def 13827 remove refl appThm sym nil 399 ref 17 ref 38 ref 13823 remove absTerm 13831 def appTerm nil cons 13832 def cons 13833 def 13829 remove cons nil cons cons 13834 def 416 ref subst 13834 remove 467 ref subst 625 ref nil 38 ref 7810 remove cons nil cons nil cons cons 13835 def 13831 ref 47 ref appTerm 13836 def betaConv nil 13833 ref 400 ref 13836 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13831 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 13837 def subst appThm 13826 ref refl appThm sym 580 ref 17 ref 38 ref 41 ref 13192 remove 581 ref appTerm appTerm 9881 ref 44 ref 13134 ref appTerm 13838 def 47 ref appTerm 13839 def appTerm appTerm absTerm appTerm absTerm 13840 def 13110 ref appTerm 13841 def betaConv 9884 ref 13134 ref appTerm 13842 def betaConv 9887 ref nil 9888 ref 400 ref 13842 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 9889 ref 460 ref 13134 ref nil cons cons nil cons 13843 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13840 ref appTerm nil cons cons 400 ref 13841 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13840 remove nil cons cons 13753 ref cons nil cons cons 469 ref subst eqMp eqMp 13844 def nil 399 ref 17 ref 38 ref 41 ref 13193 ref appTerm 129 ref 13746 ref 9727 ref appTerm 13845 def appTerm 13839 ref appTerm 13846 def appTerm absTerm appTerm nil cons cons 13847 def 400 ref 42 ref 13815 ref 714 ref appTerm appTerm 13848 def 13826 remove appTerm 13849 def nil cons 13850 def cons nil cons 13851 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13569 remove cons nil cons nil cons cons 155 ref subst 13193 remove assume eqMp appThm 13846 ref refl appThm nil 150 ref 13846 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 13852 def 13849 remove refl appThm sym nil 399 ref 17 ref 38 ref 13846 remove absTerm 13853 def appTerm nil cons 13854 def cons 13855 def 13851 remove cons nil cons cons 13856 def 416 ref subst 13856 remove 467 ref subst 13848 ref refl 13835 ref 13853 ref 47 ref appTerm 13857 def betaConv nil 13855 ref 400 ref 13857 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13853 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 13858 def subst appThm sym 3843 ref 17 ref 38 ref 41 ref 13120 remove 3844 ref appTerm appTerm 3846 ref 1486 ref 48 remove appTerm 13859 def 44 ref 13117 ref appTerm 13860 def 47 ref appTerm 13861 def appTerm 13862 def appTerm appTerm absTerm appTerm absTerm 13863 def 13121 remove appTerm 13864 def betaConv 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 13119 remove 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 13859 ref 583 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13865 def 13117 ref appTerm 13866 def betaConv 3852 remove 45 ref appTerm 13867 def betaConv 3855 remove nil 3856 remove 400 ref 13867 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3857 remove 461 remove cons nil cons cons 469 ref subst eqMp eqMp 13868 def nil 399 ref 34 ref 13865 ref appTerm nil cons cons 13869 def 400 ref 13866 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13865 ref nil cons cons 13870 def 460 ref 13117 ref nil cons cons nil cons 13871 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13863 ref appTerm nil cons cons 400 ref 13864 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13863 remove nil cons cons 13820 remove cons nil cons cons 469 ref subst eqMp eqMp 13872 def nil 399 ref 17 ref 38 ref 41 ref 13122 ref appTerm 129 ref 13816 remove appTerm 13862 remove appTerm 13873 def appTerm absTerm appTerm nil cons cons 13874 def 400 ref 13848 remove 13838 ref 714 ref appTerm 13875 def appTerm 13876 def nil cons 13877 def cons nil cons 13878 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13531 remove cons nil cons nil cons cons 155 ref subst 13122 remove assume eqMp appThm 13873 ref refl appThm nil 150 ref 13873 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 13879 def 13876 remove refl appThm sym nil 399 ref 17 ref 38 ref 13873 remove absTerm 13880 def appTerm nil cons 13881 def cons 13882 def 13878 remove cons nil cons cons 13883 def 416 ref subst 13883 remove 467 ref subst 625 ref 13835 ref 13880 ref 47 ref appTerm 13884 def betaConv nil 13882 ref 400 ref 13884 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13880 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 13885 def subst appThm 13875 ref refl appThm sym 3843 ref 17 ref 38 ref 41 ref 13133 remove 3844 ref appTerm appTerm 3846 ref 13859 remove 44 ref 13131 ref appTerm 13886 def 47 ref appTerm 13887 def appTerm 13888 def appTerm appTerm absTerm appTerm absTerm 13889 def 13134 remove appTerm 13890 def betaConv 13865 remove 13131 ref appTerm 13891 def betaConv 13868 remove nil 13869 remove 400 ref 13891 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 13870 remove 460 ref 13131 ref nil cons cons nil cons 13892 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13889 ref appTerm nil cons cons 400 ref 13890 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13889 remove nil cons cons 13843 remove cons nil cons cons 469 ref subst eqMp eqMp 13893 def nil 399 ref 17 ref 38 ref 41 ref 13135 ref appTerm 129 ref 13839 remove appTerm 13888 remove appTerm 13894 def appTerm absTerm appTerm nil cons cons 13895 def 400 ref 42 ref 1486 ref 715 ref appTerm 13896 def 13860 ref 714 ref appTerm 13897 def appTerm appTerm 13898 def 13875 remove appTerm 13899 def nil cons 13900 def cons nil cons 13901 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13537 remove cons nil cons nil cons cons 155 ref subst 13135 remove assume eqMp appThm 13894 ref refl appThm nil 150 ref 13894 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 13902 def 13899 remove refl appThm sym nil 399 ref 17 ref 38 ref 13894 remove absTerm 13903 def appTerm nil cons 13904 def cons 13905 def 13901 remove cons nil cons cons 13906 def 416 ref subst 13906 remove 467 ref subst 13898 ref refl 13835 remove 13903 ref 47 ref appTerm 13907 def betaConv nil 13905 ref 400 ref 13907 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13903 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 13908 def subst appThm sym 13795 ref 708 ref appTerm 13909 def betaConv nil 13798 ref 400 ref 13909 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13795 ref nil cons cons 13910 def 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 13794 ref nil cons cons 400 ref 13898 remove 13896 remove 13886 ref 714 ref appTerm 13911 def appTerm appTerm 13912 def nil cons 13913 def cons nil cons 13914 def cons nil cons cons 459 ref subst proveHyp 1003 ref 7820 ref 4352 ref 1017 ref appTerm appTerm absTerm 13915 def 12917 ref appTerm betaConv sym 129 ref "_48678" 14 ref var 13916 def 42 ref 12934 ref appTerm 13917 def 698 ref 12917 ref appTerm 13918 def 13916 remove varTerm appTerm appTerm absTerm 13919 def 1017 ref appTerm 13920 def appTerm refl 13919 ref 12941 ref 2714 ref 13043 ref 13591 ref appTerm 13921 def appTerm 13922 def appTerm 13923 def appTerm betaConv appThm 439 ref 13920 remove betaConv appThm 13917 remove 13918 ref 13923 ref appTerm appTerm refl appThm trans 13919 remove refl 129 ref "_48414" 14 ref var 13924 def 180 ref 12941 ref 2714 ref 13043 ref 13924 remove varTerm appTerm appTerm appTerm appTerm 1017 ref appTerm absTerm 13925 def 1009 ref appTerm 13926 def appTerm refl 13925 ref 13591 ref appTerm betaConv appThm 439 ref 13926 remove betaConv appThm 180 ref 13923 ref appTerm 13927 def 1017 ref appTerm refl appThm trans 13925 remove refl 13601 remove appThm eqMp 13059 remove assume eqMp sym 13928 def appThm eqMp sym 625 ref nil 150 ref 13808 ref cons nil cons nil cons cons 155 ref subst 12934 ref assume eqMp 13929 def appThm nil 1003 ref 13922 ref nil cons 13930 def cons 13931 def 13635 ref cons 13932 def nil cons cons 13933 def 6133 ref subst appThm 634 ref trans sym 154 ref eqMp eqMp eqMp 162 ref 160 ref 13915 ref nil cons cons 13648 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 13915 remove appTerm nil cons cons 400 ref 13792 ref nil cons 13934 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 12182 ref 7647 ref cons nil cons cons 4776 ref subst eqMp nil 399 ref 13934 remove cons 13935 def 400 ref 41 ref 12935 ref appTerm 13912 ref appTerm 13936 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 12935 ref nil cons 13937 def cons 13914 remove cons nil cons cons 13938 def 416 ref subst 13938 remove 467 ref subst 129 ref "_48680" 2 ref var 13939 def 42 ref 1486 ref 13939 remove varTerm appTerm 13940 def 13897 ref appTerm appTerm 13940 remove 13911 ref appTerm appTerm absTerm 13941 def 715 remove appTerm 13942 def appTerm refl 13941 ref 12934 ref appTerm betaConv appThm 439 ref 13942 remove betaConv appThm 42 ref 1486 ref 12934 ref appTerm 13943 def 13897 ref appTerm appTerm 13943 remove 13911 ref appTerm appTerm refl appThm trans 13941 remove refl 12935 ref assume appThm eqMp sym 625 ref 1508 ref 13929 remove appThm 13944 def 13897 ref refl appThm nil 150 ref 13897 remove nil cons cons nil cons nil cons cons 1517 ref subst trans appThm 13944 remove 13911 ref refl appThm nil 150 ref 13911 remove nil cons cons nil cons nil cons cons 1517 ref subst trans appThm 634 ref trans sym 154 ref eqMp eqMp eqMp nil 435 ref 13937 ref cons 437 ref 13913 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 13792 remove appTerm 13936 remove appTerm nil cons cons 400 ref 41 ref 13794 remove appTerm 13912 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 13913 remove cons 400 ref 13937 ref cons 13945 def 13935 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 435 ref 13904 remove cons 13946 def 437 ref 13900 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 13881 remove cons 13947 def 437 ref 13877 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 13854 remove cons 13948 def 437 ref 13850 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 13832 remove cons 13949 def 437 ref 13828 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 13808 ref cons 13950 def 437 ref 13810 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp 38 ref 17 ref 695 ref 41 ref 42 ref 17 ref 707 ref 712 ref 129 ref 44 ref 13153 ref appTerm 13951 def 714 ref appTerm appTerm 718 ref appTerm appTerm absTerm appTerm appTerm 13952 def 42 ref 180 ref 187 ref 726 ref 12940 remove 47 ref appTerm appTerm appTerm 13586 ref appTerm appTerm 12949 ref appTerm appTerm 13953 def 13159 ref appTerm appTerm appTerm 129 ref 44 ref 13102 ref appTerm 13954 def 745 remove appTerm appTerm 698 ref 13586 ref appTerm 13955 def "Set.size" const 13956 def 0 ref "Set.set" typeOp 13957 def 161 ref opType 13958 def 161 ref cons opType constTerm 13959 def "Set.fromPredicate" const 13960 def 0 ref 15 remove 13958 ref nil cons 13961 def cons opType constTerm 13962 def "v" 14 ref var 13963 def 167 ref 707 ref 42 ref 180 ref 13963 ref varTerm appTerm 13964 def 708 ref appTerm 13965 def appTerm 13966 def 42 ref 4349 ref 191 ref appTerm 13967 def 708 ref appTerm 13968 def appTerm 13969 def 42 ref 698 ref 7328 ref 12921 ref appTerm 13970 def appTerm 13971 def 710 ref appTerm appTerm 13972 def 44 ref 13142 ref appTerm 13973 def 714 ref appTerm 13974 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 13975 def appTerm appTerm absTerm appTerm absTerm 13976 def 12944 ref appTerm 13977 def betaConv 35 ref 17 ref 38 ref 17 ref 695 ref 41 ref 13952 ref 13953 ref 13158 remove 73 ref appTerm appTerm appTerm appTerm 746 ref 13975 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13978 def 13102 ref appTerm 13979 def betaConv "inc" 1 remove var 13980 def 34 ref 35 ref 17 ref 38 ref 17 ref 695 ref 41 ref 13952 ref 13953 remove 13157 remove 13980 ref varTerm 13981 def appTerm 73 ref appTerm appTerm appTerm appTerm 746 ref 13955 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 13972 ref 44 ref 13981 ref appTerm 714 ref appTerm 13982 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13983 def 13142 ref appTerm 13984 def betaConv 642 ref 34 ref 13980 ref 34 ref 35 ref 17 ref 38 ref 17 ref 695 ref 41 ref 13952 remove 42 ref 180 ref 1074 ref 13586 ref appTerm appTerm 1076 ref appTerm appTerm 13985 def 13156 remove 643 ref appTerm 13981 ref appTerm 73 ref appTerm appTerm appTerm appTerm 746 ref 13955 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 698 ref 7328 ref 1075 remove appTerm appTerm 710 ref appTerm appTerm 13982 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm 13986 def appTerm appTerm 13987 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13988 def 12920 remove appTerm 13989 def betaConv 6 ref 11 ref 642 ref 34 ref 13980 ref 34 ref 35 ref 17 ref 38 ref 17 ref 695 ref 41 ref 723 ref 13985 remove 13155 remove 45 remove appTerm 643 remove appTerm 13981 remove appTerm 73 ref appTerm 13990 def appTerm appTerm appTerm 13987 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13991 def 13153 ref appTerm 13992 def betaConv 1003 ref 34 ref 6 ref 11 ref 642 remove 34 ref 13980 remove 34 ref 35 ref 17 ref 38 ref 17 ref 695 ref 41 ref 723 remove 42 ref 180 ref 1074 remove 1011 ref appTerm appTerm 1076 remove appTerm appTerm 13990 remove appTerm appTerm appTerm 746 remove 4352 ref 13986 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13993 def 13586 ref appTerm 13994 def betaConv nil 17 ref 13993 ref appTerm 13995 def axiom nil 399 ref 13995 remove nil cons cons 400 ref 13994 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 13993 remove nil cons cons 475 ref 13602 ref cons nil cons 13996 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13991 ref appTerm nil cons cons 400 ref 13992 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13991 remove nil cons cons 460 ref 13153 ref nil cons cons nil cons 13997 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 13988 ref appTerm nil cons cons 400 ref 13989 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13988 remove nil cons cons 13286 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13983 ref appTerm nil cons cons 400 ref 13984 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13983 remove nil cons cons 460 ref 13142 ref nil cons cons nil cons 13998 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 13978 ref appTerm nil cons cons 400 ref 13979 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13978 remove nil cons cons 460 ref 13102 ref nil cons cons nil cons 13999 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 13976 ref appTerm nil cons cons 400 ref 13977 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 13976 remove nil cons cons 475 ref 12944 ref nil cons 14000 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 695 ref 41 ref 42 ref 17 ref 707 ref 712 ref 129 ref 13951 ref 187 ref 12944 remove appTerm 14001 def 708 ref appTerm 14002 def appTerm appTerm 718 ref appTerm appTerm absTerm appTerm 14003 def appTerm 14004 def 42 ref 13616 ref appTerm 13159 ref appTerm appTerm appTerm 129 ref 13954 ref 14001 ref 710 ref appTerm appTerm appTerm 14005 def 13955 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 13972 ref 13973 ref 14002 ref appTerm 14006 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm 14007 def appTerm absTerm appTerm nil cons cons 13802 ref cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 695 ref 165 ref 14004 remove refl 625 ref 1131 ref 13616 remove assume appThm 12949 remove refl appThm nil 475 ref 13609 ref cons nil cons nil cons cons 1281 ref subst trans appThm nil 150 ref 13549 remove cons nil cons nil cons cons 155 ref subst 13159 remove assume eqMp appThm 634 ref trans appThm nil 150 ref 14003 ref nil cons cons nil cons nil cons cons 1105 ref subst trans appThm 14007 ref refl 14008 def appThm absThm appThm appThm 13800 ref refl 14009 def appThm sym 3843 ref 17 ref 38 ref 41 ref 13152 remove 3844 ref appTerm appTerm 3846 ref 42 ref 13973 ref 47 ref appTerm appTerm 14010 def 44 ref 13149 ref appTerm 14011 def 47 ref appTerm appTerm 14012 def appTerm appTerm absTerm appTerm absTerm 14013 def 13153 remove appTerm 14014 def betaConv 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 13151 remove 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 14010 ref 583 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 14015 def 13149 ref appTerm 14016 def betaConv 3915 ref 13142 ref appTerm 14017 def betaConv 3918 ref nil 3919 ref 400 ref 14017 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3920 ref 13998 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14015 ref appTerm nil cons cons 400 ref 14016 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14015 remove nil cons cons 460 ref 13149 ref nil cons cons nil cons 14018 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14013 ref appTerm nil cons cons 400 ref 14014 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14013 remove nil cons cons 13997 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 38 ref 41 ref 13154 ref appTerm 129 ref 13951 remove 47 ref appTerm appTerm 14012 remove appTerm 14019 def appTerm absTerm appTerm nil cons cons 400 ref 41 ref 17 ref 695 ref 41 ref 14003 remove appTerm 14007 remove appTerm absTerm appTerm appTerm 13800 remove appTerm 14020 def nil cons 14021 def cons nil cons 14022 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13547 remove cons nil cons nil cons cons 155 ref subst 13154 remove assume eqMp appThm 14019 ref refl appThm nil 150 ref 14019 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 14020 remove refl appThm sym nil 399 ref 17 ref 38 ref 14019 remove absTerm 14023 def appTerm nil cons 14024 def cons 14025 def 14022 remove cons nil cons cons 14026 def 416 ref subst 14026 remove 467 ref subst 165 ref 603 ref 695 ref 165 ref 603 ref 707 ref 712 ref refl 14027 def 439 ref nil 38 ref 14002 ref nil cons cons nil cons nil cons cons 14023 ref 47 ref appTerm 14028 def betaConv nil 14025 remove 400 ref 14028 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14023 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 718 ref refl 14029 def appThm appThm absThm appThm appThm 14008 remove appThm absThm appThm appThm 14009 ref appThm sym nil 160 ref 707 ref 129 ref 14006 remove appTerm 13720 ref 713 ref 12941 ref 8742 ref appTerm 14030 def appTerm 14031 def appTerm 14032 def appTerm 14033 def absTerm 14034 def nil cons cons 14035 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 14033 remove nil cons cons nil cons nil cons cons 155 ref subst 1131 ref nil 7790 ref 1003 ref 12943 remove nil cons cons 7786 ref cons 14036 def cons nil cons cons 1169 ref subst 7837 ref nil 7790 ref 1003 ref 12942 ref nil cons 14037 def cons 14038 def 13635 ref cons 14039 def cons nil cons cons 1169 ref subst 12941 ref refl 14040 def nil 7790 ref 1237 ref 13635 ref cons 14041 def cons nil cons cons 1169 ref subst appThm trans appThm trans appThm nil 2073 ref 13641 ref 1006 ref 14031 ref nil cons 14042 def cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 13137 ref appTerm 14043 def 192 ref appTerm 14044 def nil cons 14045 def cons 14046 def 1003 ref 14030 ref nil cons cons 14047 def 7786 ref cons cons nil cons cons 1169 ref subst trans 7837 ref nil 14046 ref 1003 ref 8742 ref nil cons 14048 def cons 13635 ref cons 14049 def cons nil cons cons 1169 ref subst 14040 ref nil 14046 ref 7670 ref 4159 ref cons 14050 def cons nil cons cons 1169 ref subst 4544 ref 7328 ref refl 14051 def 13647 ref appThm appThm trans appThm trans appThm trans appThm nil 1116 ref 12941 ref 2714 ref 7328 ref 12917 ref appTerm appTerm 14052 def appTerm nil cons cons 1003 ref 12941 ref 14030 remove appTerm nil cons cons 7786 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 14052 ref nil cons cons 14047 remove 13635 ref cons cons nil cons cons 1192 ref subst trans trans sym 1131 ref nil 14049 remove nil cons cons 1210 ref subst appThm 14052 remove refl appThm sym 180 ref 187 ref 8742 ref appTerm 14053 def 12917 ref appTerm 14054 def appTerm refl nil 1116 ref 13633 ref cons 14055 def 14050 ref cons nil cons cons 2078 ref subst appThm nil 475 ref 14054 remove nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp 14056 def 129 ref "_48682" 14 ref var 14057 def 129 ref 13973 ref 14057 remove varTerm appTerm appTerm 14032 ref appTerm absTerm 14058 def 14002 ref appTerm 14059 def appTerm refl 14058 ref 187 ref 187 ref 14031 ref appTerm 13137 ref appTerm 14060 def appTerm 192 ref appTerm 14061 def appTerm betaConv appThm 439 ref 14059 remove betaConv appThm 129 ref 13973 ref 14061 ref appTerm appTerm 14032 ref appTerm 14062 def refl 14063 def appThm trans 14058 remove refl 180 ref 14002 ref appTerm 14061 ref appTerm assume 14064 def appThm eqMp sym 580 ref 17 ref 38 ref 41 ref 13141 remove 581 ref appTerm appTerm 9881 ref 13657 ref appTerm appTerm absTerm appTerm absTerm 14065 def 13142 ref appTerm 14066 def betaConv 9884 ref 13139 ref appTerm 14067 def betaConv 9887 ref nil 9888 ref 400 ref 14067 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 9889 ref 13671 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14065 ref appTerm nil cons cons 400 ref 14066 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14065 remove nil cons cons 13998 ref cons nil cons cons 469 ref subst eqMp eqMp 14068 def nil 399 ref 17 ref 38 ref 41 ref 13143 ref appTerm 129 ref 13973 ref 9727 ref appTerm appTerm 13657 ref appTerm 14069 def appTerm absTerm appTerm nil cons cons 14070 def 400 ref 14062 remove nil cons 14071 def cons nil cons 14072 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13541 remove cons nil cons nil cons cons 155 ref subst 13143 remove assume eqMp appThm 14069 ref refl appThm nil 150 ref 14069 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 14073 def 14063 remove appThm sym nil 399 ref 17 ref 38 ref 14069 remove absTerm 14074 def appTerm nil cons 14075 def cons 14076 def 14072 remove cons nil cons cons 14077 def 416 ref subst 14077 remove 467 ref subst 439 ref nil 38 ref 14060 ref nil cons cons nil cons nil cons cons 14078 def 14074 ref 47 ref appTerm 14079 def betaConv nil 14076 ref 400 ref 14079 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14074 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 14080 def subst appThm 14032 ref refl 14081 def appThm sym 13729 ref nil 13731 ref 400 ref 129 ref 13656 ref 14060 ref appTerm appTerm 14032 ref appTerm 14082 def nil cons 14083 def cons nil cons 14084 def cons nil cons cons 459 ref subst proveHyp 13737 ref 14082 remove refl appThm sym nil 13740 ref 14084 remove cons nil cons cons 14085 def 416 ref subst 14085 remove 467 ref subst nil 38 ref 14042 remove cons nil cons nil cons cons 14086 def 13744 ref subst eqMp nil 435 ref 13739 remove cons 14087 def 437 ref 14083 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 14075 remove cons 14088 def 437 ref 14071 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp absThm eqMp 165 ref 603 ref 695 ref 165 ref 603 ref 707 ref 14027 ref 439 ref 625 ref 14034 ref 708 ref appTerm 14089 def betaConv nil 399 ref 17 ref 14034 remove appTerm nil cons cons 400 ref 14089 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 14035 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 14090 def appThm 14011 ref 14002 ref appTerm 14091 def refl appThm appThm 14029 ref appThm appThm absThm appThm appThm 14005 ref refl 13955 ref refl 14092 def 13959 ref refl 14093 def 13962 ref refl 14094 def 13963 ref 1597 ref 707 ref 13966 ref refl 14095 def 13969 ref refl 14096 def 13972 ref refl 14090 remove appThm appThm appThm absThm appThm absThm appThm appThm appThm appThm appThm absThm appThm appThm 14009 ref appThm sym nil 160 ref 707 ref 129 ref 14091 remove appTerm 13746 ref 14031 remove appTerm 14097 def appTerm 14098 def absTerm 14099 def nil cons cons 14100 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 14098 remove nil cons cons nil cons nil cons cons 155 ref subst 14056 remove 129 ref "_48684" 14 ref var 14101 def 129 ref 14011 ref 14101 remove varTerm appTerm appTerm 14097 ref appTerm absTerm 14102 def 14002 remove appTerm 14103 def appTerm refl 14102 ref 14061 ref appTerm betaConv appThm 439 ref 14103 remove betaConv appThm 129 ref 14011 ref 14061 remove appTerm appTerm 14097 ref appTerm 14104 def refl 14105 def appThm trans 14102 remove refl 14064 remove appThm eqMp sym 580 ref 17 ref 38 ref 41 ref 13148 remove 581 ref appTerm appTerm 9881 remove 13660 ref appTerm appTerm absTerm appTerm absTerm 14106 def 13149 remove appTerm 14107 def betaConv 9884 remove 13146 ref appTerm 14108 def betaConv 9887 remove nil 9888 remove 400 ref 14108 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 9889 remove 13672 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14106 ref appTerm nil cons cons 400 ref 14107 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14106 remove nil cons cons 14018 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 38 ref 41 ref 13150 ref appTerm 129 ref 14011 remove 9727 ref appTerm appTerm 13660 ref appTerm 14109 def appTerm absTerm appTerm nil cons cons 400 ref 14104 remove nil cons 14110 def cons nil cons 14111 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13545 remove cons nil cons nil cons cons 155 ref subst 13150 remove assume eqMp appThm 14109 ref refl appThm nil 150 ref 14109 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 14105 remove appThm sym nil 399 ref 17 ref 38 ref 14109 remove absTerm 14112 def appTerm nil cons 14113 def cons 14114 def 14111 remove cons nil cons cons 14115 def 416 ref subst 14115 remove 467 ref subst 439 ref 14078 remove 14112 ref 47 ref appTerm 14116 def betaConv nil 14114 remove 400 ref 14116 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14112 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 14097 ref refl appThm sym 13754 ref nil 13756 ref 400 ref 129 ref 13659 ref 14060 remove appTerm appTerm 14097 ref appTerm 14117 def nil cons 14118 def cons nil cons 14119 def cons nil cons cons 459 ref subst proveHyp 13763 ref 14117 remove refl appThm sym nil 13766 ref 14119 remove cons nil cons cons 14120 def 416 ref subst 14120 remove 467 ref subst 14086 remove 13769 ref subst eqMp nil 435 ref 13765 remove cons 14121 def 437 ref 14118 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 14113 remove cons 437 ref 14110 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp absThm eqMp 165 ref 603 ref 695 ref 165 ref 603 ref 707 ref 14027 remove 439 ref 42 ref 14032 ref appTerm 14122 def refl 14099 ref 708 ref appTerm 14123 def betaConv nil 399 ref 17 ref 14099 remove appTerm nil cons cons 400 ref 14123 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 14100 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp appThm appThm 14029 ref appThm appThm absThm appThm appThm 14005 remove 13955 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 13972 remove 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm 14124 def refl 14125 def appThm absThm appThm appThm 14009 ref appThm sym nil 160 ref "ki" 14 ref var 14126 def 129 ref 17 ref 707 ref 41 ref 709 ref 14126 ref varTerm appTerm 14127 def appTerm 129 ref 14122 remove 14097 ref appTerm 14128 def appTerm 14129 def 718 ref appTerm 14130 def appTerm 14131 def absTerm 14132 def appTerm 14133 def appTerm 17 ref 707 ref 41 ref 42 ref 77 ref 718 ref appTerm 14134 def appTerm 14135 def 14127 ref appTerm 14136 def appTerm 1486 ref 77 ref 14032 ref appTerm 14137 def appTerm 77 ref 14097 ref appTerm appTerm 14138 def appTerm 14139 def absTerm 14140 def appTerm 14141 def appTerm 14142 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 14126 remove nil 150 ref 14142 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 14133 ref nil cons 14143 def cons 14144 def 400 ref 14141 ref nil cons 14145 def cons nil cons cons nil cons cons 14146 def 1924 ref subst 14146 ref 416 ref subst 14146 remove 467 ref subst nil 160 ref 14140 ref nil cons cons 14147 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 14139 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 14136 remove nil cons 14148 def cons 400 ref 14138 ref nil cons 14149 def cons nil cons 14150 def cons nil cons cons 14151 def 416 ref subst 14151 ref 467 ref subst nil 435 ref 14134 ref nil cons 14152 def cons 14153 def 437 ref 14127 ref nil cons 14154 def cons nil cons cons nil cons cons 14155 def 451 ref subst 14155 remove 515 ref subst 14132 ref 708 ref appTerm 14156 def betaConv nil 14144 remove 400 ref 14156 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14132 remove nil cons cons 14157 def 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14131 remove nil cons 14158 def cons 14150 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 14154 ref cons nil cons nil cons cons 155 ref subst 14127 remove assume eqMp 14159 def appThm 14129 remove refl nil 399 ref 14152 ref cons 14160 def 400 ref 129 ref 718 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 718 ref nil cons 14161 def cons 14162 def nil cons nil cons cons 1932 ref subst eqMp 14163 def appThm nil 150 ref 14128 remove nil cons cons nil cons nil cons cons 4418 ref subst nil 1811 ref 14097 remove nil cons cons 1812 ref 14032 ref nil cons 14164 def cons nil cons cons nil cons cons 4445 ref subst trans trans 14165 def appThm nil 150 ref 14149 ref cons nil cons nil cons cons 14166 def 614 ref subst trans appThm 14138 ref refl 14167 def appThm 14166 remove 6664 ref subst trans sym 154 ref eqMp eqMp proveHyp proveHyp eqMp nil 435 ref 14148 remove cons 437 ref 14149 remove cons nil cons 14168 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 435 ref 14143 ref cons 437 ref 14145 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 41 ref 14133 ref appTerm 14141 ref appTerm nil cons cons 400 ref 41 ref 14141 remove appTerm 14133 remove appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 14145 ref cons 14169 def 400 ref 14143 ref cons nil cons cons nil cons cons 14170 def 416 ref subst 14170 remove 467 ref subst nil 14157 remove nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 14158 remove cons nil cons nil cons cons 155 ref subst nil 399 ref 14154 ref cons 400 ref 14130 ref nil cons 14171 def cons nil cons 14172 def cons nil cons cons 14173 def 416 ref subst 14173 remove 467 ref subst nil 14160 ref 14172 ref cons nil cons cons 14174 def 416 ref subst 14174 remove 467 ref subst 14165 remove sym 625 ref 620 ref 14163 ref appThm 1507 ref trans 14175 def appThm 14159 remove appThm 634 ref trans sym 154 ref eqMp 14151 remove 459 ref subst proveHyp 14140 remove 708 ref appTerm 14176 def betaConv nil 14169 remove 400 ref 14176 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 14147 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp eqMp nil 14153 ref 437 ref 14171 ref cons nil cons 14177 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 14161 ref cons 14178 def 14172 remove cons nil cons cons 14179 def 416 ref subst 14179 remove 467 ref subst 439 ref 625 ref 13812 ref 7837 ref 14040 ref 4544 ref 718 ref assume 14180 def appThm 3328 ref trans appThm appThm 14181 def appThm appThm 13814 ref 14181 remove appThm appThm appThm 1131 ref 14180 ref appThm 1266 ref appThm 1282 ref trans 14182 def appThm nil 150 ref 42 ref 13720 ref 713 ref 12942 ref appTerm 14183 def appTerm 14184 def appTerm 13746 ref 14183 ref appTerm 14185 def appTerm 14186 def nil cons 14187 def cons nil cons nil cons cons 11320 ref subst trans sym nil 13638 ref nil cons nil cons cons 14188 def 4700 ref subst sym 154 ref eqMp nil 399 ref 13918 ref 12917 ref appTerm 14189 def nil cons cons 400 ref 14187 ref cons nil cons cons nil cons cons 459 ref subst proveHyp 14190 def nil 707 ref 13633 remove cons nil cons nil cons cons 13806 ref 708 ref appTerm 14191 def betaConv nil 399 ref 17 ref 13806 ref appTerm nil cons cons 14192 def 400 ref 14191 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 13807 ref 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 14193 def subst 14194 def eqMp eqMp eqMp nil 14162 ref 14177 ref cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 718 ref appTerm 14195 def betaConv 1970 ref nil 1971 ref 400 ref 14195 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 14161 ref cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 14196 def nil 14162 ref 437 ref 14152 ref cons 14197 def 1553 ref 14171 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp nil 435 ref 14154 remove cons 14177 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 435 ref 14145 remove cons 437 ref 14143 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp 165 ref 603 ref 695 ref 165 ref 695 ref 129 ref 17 ref 707 ref 712 ref 14130 remove appTerm absTerm appTerm appTerm 17 ref 707 ref 41 ref 14135 ref 711 remove appTerm appTerm 14138 ref appTerm absTerm appTerm 14198 def appTerm absTerm 14199 def 710 ref appTerm 14200 def betaConv nil 399 ref 17 ref 14199 ref appTerm nil cons cons 400 ref 14200 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14199 remove nil cons cons 1090 remove cons nil cons cons 469 ref subst eqMp eqMp appThm 14125 remove appThm absThm appThm appThm 14009 remove appThm sym nil 399 ref 17 ref 695 ref 41 ref 14198 remove appTerm 14124 remove appTerm absTerm 14201 def appTerm nil cons 14202 def cons 14203 def 13802 remove cons nil cons cons 14204 def 416 ref subst 14204 remove 467 ref subst nil 160 ref "mi" 14 ref var 14205 def 41 ref 17 ref 1006 ref 41 ref 4459 ref 14205 ref varTerm 14206 def appTerm appTerm 14207 def 41 ref 1010 ref 13586 ref appTerm appTerm 42 ref 17 ref 707 ref 41 ref 7658 ref 11919 ref appTerm 14208 def appTerm 14209 def 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 187 ref 13044 remove appTerm 7329 ref appTerm appTerm appTerm appTerm 14210 def appTerm appTerm appTerm 13746 ref 14210 ref appTerm appTerm appTerm 129 ref 585 ref 14210 remove appTerm appTerm 717 ref 11910 ref appTerm 14211 def appTerm appTerm appTerm absTerm appTerm appTerm 42 ref 13720 ref 713 ref 12941 ref 2714 ref 13043 ref 1305 ref appTerm 14212 def appTerm appTerm appTerm 14213 def appTerm appTerm 42 ref 77 ref 13746 ref 14213 ref appTerm appTerm appTerm 42 ref 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 14213 remove appTerm 13137 ref appTerm appTerm 192 ref appTerm 14214 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 14214 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 4370 ref 738 ref 1305 ref appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm appTerm 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 698 ref 7328 ref 12923 ref appTerm 14215 def appTerm 14216 def 14212 remove appTerm appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 1009 ref appTerm appTerm appTerm appTerm appTerm appTerm 14217 def appTerm absTerm appTerm 14218 def appTerm 41 ref 698 ref 14206 ref appTerm 13586 ref appTerm 14219 def appTerm 42 ref 17 ref 707 ref 14209 ref 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 187 ref 13043 ref 14206 ref appTerm 14220 def appTerm 14221 def 7329 ref appTerm 14222 def appTerm 14223 def appTerm appTerm 14224 def appTerm 14225 def appTerm 14226 def appTerm 13746 ref 14224 ref appTerm 14227 def appTerm 14228 def appTerm 129 ref 585 ref 14224 remove appTerm 14229 def appTerm 14230 def 14211 ref appTerm 14231 def appTerm 14232 def appTerm 14233 def absTerm 14234 def appTerm 14235 def appTerm 14236 def 42 ref 13720 ref 713 ref 12941 ref 2714 ref 13043 ref 1285 ref 14206 ref appTerm 14237 def appTerm 14238 def appTerm 14239 def appTerm 14240 def appTerm 14241 def appTerm 14242 def appTerm 14243 def 42 ref 77 ref 13746 ref 14241 ref appTerm 14244 def appTerm 14245 def appTerm 42 ref 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 14241 ref appTerm 13137 ref appTerm 14246 def appTerm 192 ref appTerm 14247 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 14247 remove appTerm appTerm appTerm 14248 def appTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 4370 ref 738 ref 14237 ref appTerm appTerm 14249 def appTerm 4868 ref appTerm appTerm 1011 ref appTerm 14250 def appTerm 14251 def appTerm 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 14216 ref 14238 ref appTerm appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 14206 ref appTerm 14252 def appTerm 14253 def appTerm appTerm 14254 def appTerm 14255 def appTerm 14256 def appTerm 14257 def absTerm 14258 def nil cons cons nil cons nil cons cons 164 ref subst 14205 ref nil 150 ref 14257 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 14218 ref nil cons 14259 def cons 400 ref 14256 ref nil cons 14260 def cons nil cons cons nil cons cons 14261 def 416 ref subst 14261 remove 467 ref subst nil 399 ref 14219 ref nil cons 14262 def cons 400 ref 14255 remove nil cons 14263 def cons nil cons 14264 def cons nil cons cons 14265 def 416 ref subst 14265 remove 467 ref subst nil 399 ref 77 ref 180 ref 14206 ref appTerm 14266 def 191 ref appTerm 14267 def appTerm nil cons 14268 def cons 14269 def 400 ref 13720 ref 713 ref 12941 ref 2714 ref 14220 ref appTerm 14270 def appTerm 14271 def appTerm 14272 def appTerm 14273 def nil cons 14274 def cons nil cons 14275 def cons nil cons cons 14276 def 416 ref subst 14276 remove 467 ref subst 6237 ref 14206 ref appTerm 14277 def betaConv 6240 ref nil 6241 ref 400 ref 14277 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6242 ref 475 ref 14206 ref nil cons 14278 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 14279 def nil 399 ref 1486 ref 14267 ref appTerm 167 ref 1003 ref 14266 ref 1286 ref appTerm absTerm 14280 def appTerm 14281 def appTerm nil cons cons 14282 def 14275 ref cons nil cons cons 459 ref subst proveHyp 165 ref 1508 ref nil 14269 ref 400 ref 129 ref 14267 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 14267 ref nil cons 14283 def cons 14284 def nil cons nil cons cons 1932 ref subst eqMp appThm 14281 ref refl appThm nil 150 ref 14281 ref nil cons cons nil cons nil cons cons 1541 ref subst trans appThm 14285 def 14273 ref refl appThm sym nil 160 ref "mis" 14 ref var 14286 def 41 ref 14280 ref 14286 ref varTerm 14287 def appTerm 14288 def appTerm 14289 def 14273 ref appTerm 14290 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 14286 ref nil 150 ref 14290 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 14288 ref nil cons 14291 def cons 14292 def 14275 ref cons nil cons cons 14293 def 416 ref subst 14293 remove 467 ref subst 14288 ref betaConv 14288 remove assume eqMp 14294 def nil 399 ref 14266 remove 1285 ref 14287 ref appTerm 14295 def appTerm 14296 def nil cons 14297 def cons 14298 def 14275 ref cons nil cons cons 14299 def 459 ref subst proveHyp 14299 ref 416 ref subst 14299 remove 467 ref subst 129 ref "_48686" 14 ref var 14300 def 13720 ref 713 ref 12941 ref 2714 ref 13043 ref 14300 remove varTerm appTerm appTerm appTerm appTerm appTerm absTerm 14301 def 14206 ref appTerm 14302 def appTerm refl 14301 ref 14295 ref appTerm betaConv appThm 439 ref 14302 remove betaConv appThm 13720 ref 713 ref 12941 ref 2714 ref 13043 ref 14295 ref appTerm 14303 def appTerm appTerm appTerm 14304 def appTerm 14305 def refl 14306 def appThm trans 14301 remove refl 14307 def 14296 remove assume 14308 def appThm eqMp 14309 def sym 1006 ref 41 ref 4459 ref 14295 ref appTerm appTerm 14217 ref appTerm absTerm 14310 def 14287 ref appTerm 14311 def betaConv 129 ref "_48818" 14 ref var 14312 def 17 ref 1006 ref 41 ref 4459 ref 14312 remove varTerm appTerm appTerm 14217 ref appTerm absTerm appTerm absTerm 14313 def 14206 ref appTerm 14314 def appTerm refl 14313 ref 14295 ref appTerm betaConv appThm 439 ref 14314 remove betaConv appThm 17 ref 14310 ref appTerm 14315 def refl appThm trans 14313 remove refl 14308 ref appThm eqMp 14218 remove assume eqMp 14316 def nil 399 ref 14315 remove nil cons cons 14317 def 400 ref 14311 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14310 ref nil cons cons 14318 def 475 ref 14287 ref nil cons 14319 def cons nil cons 14320 def cons nil cons cons 469 ref subst eqMp eqMp 14321 def nil 399 ref 41 ref 4349 ref 14287 ref appTerm 14295 ref appTerm 14322 def appTerm 41 ref 698 ref 14287 ref appTerm 14323 def 13586 ref appTerm 14324 def appTerm 42 ref 17 ref 707 ref 14209 ref 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 187 ref 13043 ref 14287 ref appTerm 14325 def appTerm 14326 def 7329 ref appTerm appTerm appTerm appTerm 14327 def appTerm appTerm appTerm 13746 ref 14327 ref appTerm appTerm appTerm 129 ref 585 ref 14327 remove appTerm appTerm 14211 ref appTerm appTerm appTerm absTerm 14328 def appTerm 14329 def appTerm 42 ref 14305 ref appTerm 42 ref 77 ref 13746 ref 14304 ref appTerm 14330 def appTerm 14331 def appTerm 42 ref 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 14304 ref appTerm 13137 ref appTerm appTerm 192 ref appTerm 14332 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 14332 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 4370 ref 738 ref 14295 ref appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm 14333 def appTerm 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 14216 ref 14303 ref appTerm 14334 def appTerm 14335 def 14032 ref appTerm 14336 def appTerm 14337 def appTerm absTerm appTerm absTerm appTerm 14338 def appTerm 14339 def appTerm 14287 ref appTerm 14340 def appTerm 14341 def appTerm 14342 def appTerm 14343 def appTerm 14344 def appTerm 14345 def appTerm 14346 def nil cons cons 14347 def 400 ref 14305 ref nil cons 14348 def cons nil cons 14349 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 1003 ref 14319 ref cons 14350 def nil cons nil cons cons 14351 def 7678 ref subst appThm 14345 ref refl appThm nil 150 ref 14345 ref nil cons 14352 def cons nil cons nil cons cons 614 ref subst trans appThm 14353 def 14306 remove appThm sym 1003 ref 42 ref 14323 remove 1011 ref appTerm appTerm 4352 ref 13586 ref appTerm 14354 def appTerm absTerm 14355 def 14295 ref appTerm betaConv sym 625 ref 14351 ref 12799 ref subst appThm nil 150 ref 698 ref 14295 ref appTerm 13586 ref appTerm 14356 def nil cons cons nil cons nil cons cons 155 ref subst 129 ref "_48820" 14 ref var 14357 def 698 ref 14357 remove varTerm appTerm 13586 ref appTerm absTerm 14358 def 14206 ref appTerm 14359 def appTerm refl 14358 ref 14295 ref appTerm betaConv appThm 439 ref 14359 remove betaConv appThm 14356 remove refl appThm trans 14358 remove refl 14308 ref appThm eqMp 14219 remove assume 14360 def eqMp 14361 def eqMp 14362 def appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 14355 ref nil cons cons 475 ref 14295 ref nil cons 14363 def cons nil cons 14364 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 14355 remove appTerm nil cons cons 400 ref 14324 ref nil cons 14365 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 13602 remove cons 14366 def 1006 ref 14319 remove cons nil cons 14367 def cons nil cons cons 4776 ref subst eqMp 14368 def nil 399 ref 14365 ref cons 14369 def 400 ref 41 ref 14344 ref appTerm 14370 def 14305 ref appTerm 14371 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 14344 remove nil cons 14372 def cons 14373 def 14349 remove cons nil cons cons 14374 def 416 ref subst 14374 remove 467 ref subst nil 435 ref 14329 remove nil cons 14375 def cons 437 ref 14343 remove nil cons cons nil cons cons nil cons cons 14376 def 515 ref subst 14377 def nil 435 ref 14348 ref cons 437 ref 14342 remove nil cons cons nil cons cons nil cons cons 14378 def 451 ref subst proveHyp eqMp nil 435 ref 14372 ref cons 14379 def 437 ref 14348 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 14324 ref appTerm 14380 def 14371 remove appTerm nil cons cons 400 ref 41 ref 14345 remove appTerm 14381 def 14305 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 14348 ref cons 400 ref 14372 remove cons 14369 ref nil cons cons 14382 def cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp eqMp nil 435 ref 14297 remove cons 14383 def 437 ref 14274 ref cons nil cons 14384 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 14291 remove cons 14385 def 14384 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 14280 ref 689 ref appTerm appTerm 14386 def 14273 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 14281 remove appTerm 14387 def 14273 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14280 ref nil cons cons 14388 def 14384 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 14268 ref cons 14389 def 14384 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 14283 ref cons 14390 def 14275 ref cons nil cons cons 14391 def 416 ref subst 14391 remove 467 ref subst 14194 ref nil 399 ref 41 ref 14189 remove appTerm 14186 remove appTerm nil cons cons 14392 def 14275 remove cons nil cons cons 459 ref subst proveHyp 165 ref 14190 remove appThm 14393 def 13812 ref 7837 ref 14040 ref 4544 ref 13043 ref refl 14394 def 14267 ref assume 14395 def appThm nil 1006 ref 12928 ref nil cons 14396 def cons 14397 def nil cons 14398 def nil cons cons 14399 def 3254 ref subst 14400 def trans appThm 3328 ref trans appThm appThm appThm appThm sym nil 399 ref 14187 ref cons 14401 def 400 ref 14184 ref nil cons 14402 def cons nil cons 14403 def cons nil cons cons 14404 def 416 ref subst 14404 remove 467 ref subst nil 435 ref 14402 ref cons 437 ref 14185 ref nil cons 14405 def cons nil cons cons nil cons cons 14406 def 451 ref subst 14407 def eqMp nil 435 ref 14187 remove cons 14408 def 437 ref 14402 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp 14409 def eqMp eqMp eqMp nil 14284 ref 14384 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 14267 remove appTerm 14410 def betaConv 1970 ref nil 1971 ref 400 ref 14410 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 14283 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 14411 def nil 14284 ref 437 ref 14268 remove cons 14412 def 1553 ref 14274 ref cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp nil 160 ref 707 ref 41 ref 17 ref 1006 ref 41 ref 4459 ref 708 ref appTerm appTerm 14413 def 41 ref 4459 ref 11919 ref appTerm appTerm 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14221 ref 4533 remove appTerm appTerm appTerm appTerm 14414 def appTerm appTerm appTerm 13746 ref 14414 ref appTerm appTerm appTerm 129 ref 585 ref 14414 remove appTerm appTerm 1106 ref 11910 ref appTerm appTerm appTerm appTerm 14415 def appTerm absTerm appTerm 14416 def appTerm 14233 ref appTerm 14417 def absTerm 14418 def nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 14417 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 14416 ref nil cons 14419 def cons 400 ref 14233 ref nil cons 14420 def cons nil cons cons nil cons cons 14421 def 416 ref subst 14421 remove 467 ref subst nil 399 ref 14208 ref nil cons 14422 def cons 14423 def 400 ref 14232 ref nil cons 14424 def cons 14425 def nil cons cons nil cons cons 14426 def 416 ref subst 14426 remove 467 ref subst 625 ref 620 ref 13812 ref nil 1116 ref 14223 remove nil cons cons 13638 ref 7786 ref cons 14427 def cons nil cons cons 2078 ref subst nil 1116 ref 14222 remove nil cons cons 1237 ref 1006 ref 713 ref 12917 ref appTerm 14428 def nil cons cons nil cons cons 14429 def cons nil cons cons 2078 ref subst nil 8791 ref 1003 ref 14220 ref nil cons 14430 def cons 14431 def 1006 ref 187 ref 14428 remove appTerm 192 ref appTerm 14432 def nil cons cons nil cons 14433 def cons 14434 def cons nil cons cons 2078 ref subst nil 2073 ref 7670 ref 1006 ref 187 ref 14432 remove appTerm 14435 def 14220 ref appTerm 14436 def nil cons cons nil cons 14437 def cons 14438 def cons nil cons cons 2078 ref subst trans trans trans 1368 ref 1368 ref 14435 ref refl 14439 def 3238 ref nil 1116 ref 12926 remove nil cons 14440 def cons 14441 def 2082 ref cons nil cons cons 14442 def 2078 ref subst nil 1116 ref 12925 remove nil cons 14443 def cons 14444 def 2089 ref cons nil cons cons 14445 def 2078 ref subst nil 1116 ref 5005 ref nil cons 14446 def cons 14447 def 12476 ref 2095 ref cons 14448 def cons nil cons cons 14449 def 2078 ref subst nil 9400 ref 2091 ref 1006 ref 2101 remove 69 ref appTerm 14450 def nil cons cons nil cons cons 14451 def cons nil cons cons 14452 def 2078 ref subst trans trans trans 14453 def appThm 14454 def 14206 ref refl 14455 def appThm 14456 def appThm 14457 def appThm 14458 def 7652 ref appThm appThm 14459 def 2100 ref appThm trans 14460 def appThm appThm appThm 13814 ref 14460 remove appThm appThm sym 13821 ref nil 13824 ref 400 ref 42 ref 77 ref 13720 ref 187 ref 187 ref 14435 ref 2195 ref 187 ref 187 ref 14450 remove appTerm 188 ref appTerm 14461 def appTerm 14462 def 5004 remove appTerm 14463 def appTerm 14464 def 14206 ref appTerm 14465 def appTerm 14466 def appTerm 14467 def 708 ref appTerm 14468 def appTerm 14469 def 192 ref appTerm 14470 def appTerm appTerm appTerm 13746 ref 14470 remove appTerm 14471 def appTerm 14472 def nil cons 14473 def cons nil cons 14474 def cons nil cons cons 459 ref subst proveHyp 13830 ref 14472 remove refl appThm sym nil 13833 ref 14474 remove cons nil cons cons 14475 def 416 ref subst 14475 remove 467 ref subst 625 ref 620 ref nil 38 ref 14468 ref nil cons 14476 def cons nil cons nil cons cons 14477 def 13837 ref subst appThm appThm 14471 ref refl appThm sym 13844 ref nil 13847 ref 400 ref 42 ref 77 ref 13815 ref 14468 ref appTerm appTerm appTerm 14478 def 14471 remove appTerm 14479 def nil cons 14480 def cons nil cons 14481 def cons nil cons cons 459 ref subst proveHyp 13852 ref 14479 remove refl appThm sym nil 13855 ref 14481 remove cons nil cons cons 14482 def 416 ref subst 14482 remove 467 ref subst 14478 ref refl 14477 ref 13858 ref subst appThm sym 13872 ref nil 13874 ref 400 ref 14478 remove 13838 ref 14468 ref appTerm 14483 def appTerm 14484 def nil cons 14485 def cons nil cons 14486 def cons nil cons cons 459 ref subst proveHyp 13879 ref 14484 remove refl appThm sym nil 13882 ref 14486 remove cons nil cons cons 14487 def 416 ref subst 14487 remove 467 ref subst 625 ref 620 ref 14477 ref 13885 ref subst appThm appThm 14483 ref refl appThm sym 13893 ref nil 13895 ref 400 ref 42 ref 77 ref 1486 ref 46 ref 14468 ref appTerm appTerm 13860 ref 14468 remove appTerm appTerm appTerm appTerm 14488 def 14483 remove appTerm 14489 def nil cons 14490 def cons nil cons 14491 def cons nil cons cons 459 ref subst proveHyp 13902 ref 14489 remove refl appThm sym nil 13905 ref 14491 remove cons nil cons cons 14492 def 416 ref subst 14492 remove 467 ref subst 14488 remove refl 14477 ref 13908 ref subst appThm sym 625 ref 620 ref 1508 ref 46 ref refl 14493 def nil 7790 ref 1003 ref 14465 ref nil cons 14494 def cons 14495 def 14433 ref cons 14496 def cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 14465 ref appTerm 14497 def 708 ref appTerm 14498 def nil cons cons 14429 ref cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 14498 remove appTerm nil cons cons 14427 ref cons nil cons cons 1169 ref subst trans trans 7837 ref 14040 ref 4544 ref 1368 ref 3238 ref 14452 remove 1169 ref subst 14499 def 14449 remove 1169 ref subst 14500 def 14445 remove 1169 ref subst 14501 def 14442 remove 1169 ref subst 14502 def trans trans trans 14503 def appThm 14504 def 14455 ref appThm 14505 def appThm 14506 def 7652 ref appThm appThm appThm appThm trans 14507 def appThm appThm 14508 def 13860 ref refl 14509 def 14507 ref appThm appThm appThm appThm 14508 remove 13886 ref refl 14510 def 14507 ref appThm appThm appThm sym 13795 ref 12941 ref 2714 ref 14221 ref 708 ref appTerm 14511 def appTerm 14512 def appTerm 14513 def appTerm 14514 def betaConv nil 13798 ref 400 ref 14514 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 13910 ref 475 ref 14513 ref nil cons 14515 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 698 ref 14513 ref appTerm 14516 def 1017 ref appTerm 14517 def appTerm 129 ref 46 ref 713 ref 14513 remove appTerm 14518 def appTerm 14519 def appTerm 14520 def 14516 ref 12917 ref appTerm 14521 def appTerm 14522 def appTerm 14523 def nil cons cons 400 ref 42 ref 77 ref 1486 ref 14519 ref appTerm 14524 def 13860 ref 14518 ref appTerm 14525 def appTerm appTerm appTerm 14524 remove 13886 ref 14518 ref appTerm 14526 def appTerm appTerm 14527 def nil cons 14528 def cons nil cons 14529 def cons nil cons cons 459 ref subst proveHyp 129 ref "_49740" 14 ref var 14530 def 14516 ref 14530 remove varTerm appTerm absTerm 14531 def 1017 ref appTerm 14532 def appTerm refl 14531 ref 13923 ref appTerm betaConv appThm 439 ref 14532 remove betaConv appThm 14516 remove 13923 ref appTerm refl appThm trans 14531 remove refl 13928 ref appThm eqMp sym nil 1116 ref 13930 ref cons 14533 def 1003 ref 14512 remove nil cons cons 14534 def 13635 ref cons 14535 def cons nil cons cons 14536 def 6045 ref subst nil 1116 ref 13921 ref nil cons 14537 def cons 14538 def 1003 ref 14511 ref nil cons 14539 def cons 4159 ref cons 14540 def cons nil cons cons 14541 def 6045 ref subst trans sym 1003 ref 42 ref 698 ref 14511 ref appTerm 14542 def 1011 ref appTerm appTerm 14543 def 4352 ref 13921 ref appTerm 14544 def appTerm absTerm 14545 def 187 ref 13043 ref 13586 ref appTerm 14546 def appTerm 14547 def 708 ref appTerm 14548 def appTerm betaConv sym 625 ref nil 1116 ref 14546 ref nil cons 14549 def cons 7646 ref 14431 ref nil cons cons cons nil cons cons 4718 ref subst nil 14366 ref 1003 ref 14278 ref cons 14550 def 14398 ref cons 14551 def cons nil cons cons 6066 ref subst trans 1486 ref 180 ref 12928 ref appTerm 14552 def 191 ref appTerm 14553 def appTerm 14554 def refl 14555 def nil 150 ref 14262 ref cons nil cons nil cons cons 155 ref subst 14360 remove eqMp 14556 def appThm nil 150 ref 14553 ref nil cons 14557 def cons nil cons nil cons cons 1964 remove subst 14558 def trans trans appThm 14559 def 698 ref 14548 ref appTerm 14560 def 13921 ref appTerm 14561 def refl appThm nil 150 ref 14561 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym 14560 remove refl nil 13603 ref 14398 ref cons nil cons cons 14562 def 1003 ref 180 ref 2864 ref 1286 ref appTerm appTerm 14563 def 2866 remove 1009 ref appTerm appTerm absTerm 14564 def 1011 ref appTerm 14565 def betaConv 1006 ref 17 ref 14564 ref appTerm 14566 def absTerm 14567 def 1009 ref appTerm 14568 def betaConv 603 ref 1006 ref 603 ref 1003 ref 14563 ref refl nil 1003 ref 2865 ref nil cons cons nil cons nil cons cons 1210 ref subst appThm absThm appThm absThm appThm nil 17 ref 1006 ref 17 ref 1003 ref 14563 remove 1016 remove 2865 ref appTerm appTerm absTerm 14569 def appTerm 14570 def absTerm 14571 def appTerm 14572 def axiom 14573 def eqMp nil 399 ref 17 ref 14567 ref appTerm nil cons cons 400 ref 14568 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14567 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14566 remove nil cons cons 400 ref 14565 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14564 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 14574 def subst 14575 def appThm sym nil 1116 ref 14396 ref cons 14576 def 7670 ref 1006 ref 14549 ref cons nil cons 14577 def cons cons nil cons cons 14578 def 6045 ref subst sym 1003 ref 8750 ref 4352 ref 12928 ref appTerm 14579 def appTerm absTerm 14580 def 11919 ref appTerm betaConv sym 625 ref nil 150 ref 14422 ref cons nil cons nil cons cons 155 ref subst 14208 ref assume 14581 def eqMp appThm nil 1116 ref 12927 remove nil cons 14582 def cons 12073 ref cons nil cons cons 6045 ref subst nil 14441 remove 12075 ref cons nil cons cons 6045 ref subst nil 14444 remove 12077 ref cons nil cons cons 6045 ref subst nil 14447 remove 12080 ref cons nil cons cons 6045 ref subst nil 9400 remove 12065 ref cons nil cons cons 6045 ref subst trans trans trans trans 14583 def 698 ref 732 ref appTerm refl 3369 ref 4406 remove subst 2110 remove 4407 remove appThm trans 14584 def sym 14585 def appThm 11467 ref 12799 ref subst trans 14586 def trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 14580 ref nil cons cons 475 ref 12070 ref cons nil cons 14587 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 14580 remove appTerm nil cons cons 400 ref 7658 ref 12928 ref appTerm nil cons 14588 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14576 ref 7647 ref cons nil cons cons 4602 ref subst eqMp nil 399 ref 14588 remove cons 400 ref 709 ref 12928 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1003 ref 14396 ref cons 14589 def 7647 ref cons nil cons cons 6085 ref subst eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 14545 ref nil cons cons 475 ref 14548 ref nil cons cons nil cons 14590 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 14545 remove appTerm nil cons cons 400 ref 14542 remove 13921 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14538 ref 1006 ref 14539 remove cons nil cons cons nil cons cons 14591 def 4776 ref subst eqMp eqMp eqMp nil 399 ref 14517 ref nil cons cons 14592 def 400 ref 41 ref 14522 ref appTerm 14527 ref appTerm 14593 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 150 ref 14521 ref nil cons cons nil cons nil cons cons 4418 ref subst nil 13638 ref 1006 ref 14515 remove cons nil cons cons nil cons cons 4456 ref subst nil 14535 remove nil cons cons 1003 ref 129 ref 4459 ref 1134 ref appTerm appTerm 13967 ref 1011 ref appTerm 14594 def appTerm absTerm 14595 def 1011 ref appTerm 14596 def betaConv 1006 ref 17 ref 14595 ref appTerm 14597 def absTerm 14598 def 1009 ref appTerm 14599 def betaConv nil 17 ref 14598 ref appTerm 14600 def axiom nil 399 ref 14600 remove nil cons cons 400 ref 14599 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14598 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14597 remove nil cons cons 400 ref 14596 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14595 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 14601 def subst nil 14534 remove nil cons nil cons cons 1003 ref 129 ref 14594 remove appTerm 2185 remove appTerm absTerm 14602 def 1011 ref appTerm 14603 def betaConv nil 17 ref 14602 ref appTerm 14604 def axiom nil 399 ref 14604 remove nil cons cons 400 ref 14603 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14602 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 14605 def subst trans trans trans 620 ref nil 14540 remove nil cons cons 6617 ref subst 625 ref 1131 ref 2114 ref appThm 1266 ref appThm 1258 remove 4399 ref subst 14606 def trans 14607 def appThm 14608 def nil 7670 ref 1006 ref 14430 ref cons nil cons 14609 def cons nil cons cons 6617 ref subst appThm nil 150 ref 42 ref 180 ref 14220 ref appTerm 191 ref appTerm appTerm 14610 def 718 ref appTerm nil cons cons nil cons nil cons cons 1506 ref subst trans trans appThm 1507 ref trans trans sym 154 ref eqMp 129 ref "_49742" 2 ref var 14611 def 41 ref 14520 ref 14611 remove varTerm appTerm appTerm 14527 ref appTerm absTerm 14612 def 14521 ref appTerm 14613 def appTerm refl 14612 ref 1407 ref appTerm betaConv appThm 439 ref 14613 remove betaConv appThm 41 ref 14520 remove 1407 ref appTerm 14614 def appTerm 14527 ref appTerm refl appThm trans 14612 remove refl 129 ref 14521 remove appTerm 1407 ref appTerm assume appThm eqMp sym nil 399 ref 14614 ref nil cons 14615 def cons 14529 remove cons nil cons cons 14616 def 416 ref subst 14616 remove 467 ref subst 129 ref "_49744" 2 ref var 14617 def 42 ref 77 ref 1486 ref 14617 remove varTerm appTerm 14618 def 14525 ref appTerm appTerm appTerm 14618 remove 14526 ref appTerm appTerm absTerm 14619 def 14519 remove appTerm 14620 def appTerm refl 14619 ref 1407 ref appTerm betaConv appThm 439 ref 14620 remove betaConv appThm 42 ref 77 ref 1537 ref 14525 ref appTerm appTerm appTerm 1537 ref 14526 ref appTerm appTerm refl appThm trans 14619 remove refl 14614 remove assume appThm eqMp sym 625 ref 620 ref nil 150 ref 14525 ref nil cons cons nil cons nil cons cons 1541 ref subst appThm appThm nil 150 ref 14526 ref nil cons cons nil cons nil cons cons 1541 ref subst appThm sym 3843 ref 17 ref 38 ref 41 ref 13116 remove 3844 ref appTerm appTerm 3846 ref 42 ref 44 ref 13108 ref appTerm 14621 def 47 ref appTerm 14622 def appTerm 14623 def 44 ref 13113 ref appTerm 14624 def 47 ref appTerm 14625 def appTerm 14626 def appTerm appTerm absTerm appTerm absTerm 14627 def 13117 remove appTerm 14628 def betaConv 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 13115 remove 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 14623 remove 583 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 14629 def 13113 ref appTerm 14630 def betaConv 3915 ref 13108 ref appTerm 14631 def betaConv 3918 ref nil 3919 ref 400 ref 14631 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3920 ref 460 ref 13108 ref nil cons cons nil cons 14632 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14629 ref appTerm nil cons cons 400 ref 14630 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14629 remove nil cons cons 460 ref 13113 ref nil cons cons nil cons 14633 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14627 ref appTerm nil cons cons 400 ref 14628 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14627 remove nil cons cons 13871 remove cons nil cons cons 469 ref subst eqMp eqMp 14634 def nil 399 ref 17 ref 38 ref 41 ref 13118 ref appTerm 129 ref 13861 remove appTerm 14626 remove appTerm 14635 def appTerm absTerm appTerm nil cons cons 14636 def 400 ref 42 ref 77 ref 14525 remove appTerm appTerm 14526 ref appTerm 14637 def nil cons 14638 def cons nil cons 14639 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13529 remove cons nil cons nil cons cons 155 ref subst 13118 remove assume eqMp appThm 14635 ref refl appThm nil 150 ref 14635 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 14640 def 14637 remove refl appThm sym nil 399 ref 17 ref 38 ref 14635 remove absTerm 14641 def appTerm nil cons 14642 def cons 14643 def 14639 remove cons nil cons cons 14644 def 416 ref subst 14644 remove 467 ref subst 625 ref 620 ref nil 38 ref 14518 ref nil cons cons nil cons nil cons cons 14645 def 14641 ref 47 ref appTerm 14646 def betaConv nil 14643 ref 400 ref 14646 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14641 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 14647 def subst appThm appThm 14526 ref refl 14648 def appThm sym 3843 ref 17 ref 38 ref 41 ref 13112 remove 3844 ref appTerm appTerm 3846 ref 42 ref 13747 ref appTerm 14649 def 586 remove appTerm 14650 def appTerm appTerm absTerm appTerm absTerm 14651 def 13113 remove appTerm 14652 def betaConv 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 13111 remove 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 14649 remove 583 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 14653 def 262 ref appTerm 14654 def betaConv 3915 ref 13110 ref appTerm 14655 def betaConv 3918 ref nil 3919 ref 400 ref 14655 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3920 ref 13753 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14653 ref appTerm nil cons cons 400 ref 14654 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14653 remove nil cons cons 598 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14651 ref appTerm nil cons cons 400 ref 14652 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14651 remove nil cons cons 14633 remove cons nil cons cons 469 ref subst eqMp eqMp 14656 def nil 399 ref 17 ref 38 ref 41 ref 13114 ref appTerm 129 ref 14625 remove appTerm 14650 remove appTerm 14657 def appTerm absTerm appTerm nil cons cons 14658 def 400 ref 42 ref 77 ref 42 ref 14621 ref 14518 ref appTerm appTerm 14659 def 14624 ref 14518 ref appTerm appTerm appTerm appTerm 14526 ref appTerm 14660 def nil cons 14661 def cons nil cons 14662 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13527 remove cons nil cons nil cons cons 155 ref subst 13114 remove assume eqMp appThm 14657 ref refl appThm nil 150 ref 14657 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 14663 def 14660 remove refl appThm sym nil 399 ref 17 ref 38 ref 14657 remove absTerm 14664 def appTerm nil cons 14665 def cons 14666 def 14662 remove cons nil cons cons 14667 def 416 ref subst 14667 remove 467 ref subst 625 ref 620 ref 14659 ref refl 14645 ref 14664 ref 47 ref appTerm 14668 def betaConv nil 14666 ref 400 ref 14668 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14664 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 14669 def subst appThm appThm appThm 14648 remove appThm sym 3843 ref 17 ref 38 ref 41 ref 13130 remove 3844 ref appTerm appTerm 3846 ref 4371 ref 13747 remove appTerm 14670 def 44 ref 13100 ref appTerm 14671 def 47 ref appTerm 14672 def appTerm 14673 def 44 ref 13125 ref appTerm 14674 def 47 ref appTerm 14675 def appTerm 14676 def appTerm appTerm absTerm appTerm absTerm 14677 def 13131 remove appTerm 14678 def betaConv 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 13129 remove 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 14673 remove 583 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 14679 def 13125 ref appTerm 14680 def betaConv 460 ref 34 ref 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 13128 remove 589 ref appTerm 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 14670 remove 591 ref appTerm 583 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 14681 def 13100 ref appTerm 14682 def betaConv 2909 remove 34 ref 460 ref 34 ref 580 ref 34 ref 3843 ref 17 ref 38 ref 41 ref 13127 remove 2910 remove appTerm 589 ref appTerm 581 ref appTerm 3844 ref appTerm appTerm 3846 ref 4371 ref 2911 remove appTerm 591 remove appTerm 583 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 14683 def 13110 remove appTerm 14684 def betaConv nil 34 ref 14683 ref appTerm 14685 def axiom nil 399 ref 14685 remove nil cons cons 400 ref 14684 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14683 remove nil cons cons 13753 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14681 ref appTerm nil cons cons 400 ref 14682 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14681 remove nil cons cons 460 ref 13100 ref nil cons cons nil cons 14686 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14679 ref appTerm nil cons cons 400 ref 14680 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14679 remove nil cons cons 460 ref 13125 ref nil cons cons nil cons 14687 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14677 ref appTerm nil cons cons 400 ref 14678 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14677 remove nil cons cons 13892 remove cons nil cons cons 469 ref subst eqMp eqMp 14688 def nil 399 ref 17 ref 38 ref 41 ref 13132 ref appTerm 129 ref 13887 remove appTerm 14676 remove appTerm 14689 def appTerm absTerm appTerm nil cons cons 14690 def 400 ref 42 ref 77 ref 14659 remove 42 ref 13746 ref 14518 ref appTerm 14691 def appTerm 585 ref 14518 ref appTerm 14692 def appTerm 14693 def appTerm appTerm appTerm 14694 def 14526 remove appTerm 14695 def nil cons 14696 def cons nil cons 14697 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13535 remove cons nil cons nil cons cons 155 ref subst 13132 remove assume eqMp appThm 14689 ref refl appThm nil 150 ref 14689 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 14698 def 14695 remove refl appThm sym nil 399 ref 17 ref 38 ref 14689 remove absTerm 14699 def appTerm nil cons 14700 def cons 14701 def 14697 remove cons nil cons cons 14702 def 416 ref subst 14702 remove 467 ref subst 14694 ref refl 14703 def 14645 ref 14699 ref 47 ref appTerm 14704 def betaConv nil 14701 ref 400 ref 14704 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14699 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 14705 def subst appThm sym 3843 ref 17 ref 38 ref 41 ref 13124 remove 3844 ref appTerm appTerm 3846 ref 42 ref 13721 ref appTerm 14706 def 44 remove 13104 ref appTerm 14707 def 47 ref appTerm 14708 def appTerm 14709 def appTerm appTerm absTerm appTerm absTerm 14710 def 13125 remove appTerm 14711 def betaConv 580 ref 34 ref 3843 remove 17 ref 38 ref 41 ref 13123 remove 581 ref appTerm 3844 remove appTerm appTerm 3846 remove 14706 remove 583 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 14712 def 13104 ref appTerm 14713 def betaConv 3915 remove 13106 ref appTerm 14714 def betaConv 3918 remove nil 3919 remove 400 ref 14714 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3920 remove 13727 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14712 ref appTerm nil cons cons 400 ref 14713 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14712 remove nil cons cons 460 ref 13104 ref nil cons cons nil cons 14715 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14710 ref appTerm nil cons cons 400 ref 14711 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14710 remove nil cons cons 14687 remove cons nil cons cons 469 ref subst eqMp eqMp 14716 def nil 399 ref 17 ref 38 ref 41 ref 13126 ref appTerm 129 ref 14675 remove appTerm 14709 remove appTerm 14717 def appTerm absTerm appTerm nil cons cons 14718 def 400 ref 14694 ref 4371 ref 14691 remove appTerm 14719 def 14671 ref 14518 ref appTerm appTerm 14720 def 14674 ref 14518 ref appTerm appTerm appTerm 14721 def nil cons 14722 def cons nil cons 14723 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13533 remove cons nil cons nil cons cons 155 ref subst 13126 remove assume eqMp appThm 14717 ref refl appThm nil 150 ref 14717 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 14724 def 14721 remove refl appThm sym nil 399 ref 17 ref 38 ref 14717 remove absTerm 14725 def appTerm nil cons 14726 def cons 14727 def 14723 remove cons nil cons cons 14728 def 416 ref subst 14728 remove 467 ref subst 14703 remove 14720 ref refl 14645 ref 14725 ref 47 ref appTerm 14729 def betaConv nil 14727 ref 400 ref 14729 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14725 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 14730 def subst appThm appThm sym 580 ref 17 ref 38 ref 41 ref 13107 remove 581 ref appTerm appTerm 584 ref 77 ref 13721 remove appTerm 14731 def appTerm appTerm absTerm appTerm absTerm 14732 def 13108 remove appTerm 14733 def betaConv 460 ref 34 ref 580 ref 17 ref 38 ref 41 ref 13098 remove 589 ref appTerm 581 ref appTerm appTerm 584 ref 13667 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 14734 def 13106 remove appTerm 14735 def betaConv nil 34 ref 14734 ref appTerm 14736 def axiom 14737 def nil 399 ref 14736 remove nil cons cons 14738 def 400 ref 14735 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14734 ref nil cons cons 14739 def 13727 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14732 ref appTerm nil cons cons 400 ref 14733 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14732 remove nil cons cons 14632 remove cons nil cons cons 469 ref subst eqMp eqMp 14740 def nil 399 ref 17 ref 38 ref 41 ref 13109 ref appTerm 129 ref 14622 remove appTerm 14731 remove appTerm 14741 def appTerm absTerm appTerm nil cons cons 14742 def 400 ref 14694 remove 14720 remove 42 ref 13720 ref 14518 ref appTerm 14743 def appTerm 14744 def 14707 ref 14518 ref appTerm appTerm 14745 def appTerm 14746 def appTerm 14747 def nil cons 14748 def cons nil cons 14749 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13525 remove cons nil cons nil cons cons 155 ref subst 13109 remove assume eqMp appThm 14741 ref refl appThm nil 150 ref 14741 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 14750 def 14747 remove refl appThm sym nil 399 ref 17 ref 38 ref 14741 remove absTerm 14751 def appTerm nil cons 14752 def cons 14753 def 14749 remove cons nil cons cons 14754 def 416 ref subst 14754 remove 467 ref subst 625 ref 620 ref 625 ref 14645 ref 14751 ref 47 ref appTerm 14755 def betaConv nil 14753 ref 400 ref 14755 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14751 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 14756 def subst appThm 14693 ref refl appThm appThm appThm 14746 ref refl appThm sym 580 ref 17 ref 38 ref 41 ref 13099 remove 581 ref appTerm appTerm 584 ref 636 ref appTerm appTerm absTerm appTerm absTerm 14757 def 13100 remove appTerm 14758 def betaConv 14734 ref 262 ref appTerm 14759 def betaConv 14737 ref nil 14738 ref 400 ref 14759 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 14739 ref 598 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14757 ref appTerm nil cons cons 400 ref 14758 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14757 remove nil cons cons 14686 remove cons nil cons cons 469 ref subst eqMp eqMp 14760 def nil 399 ref 17 ref 38 ref 41 ref 13101 ref appTerm 129 ref 14672 remove appTerm 636 ref appTerm 14761 def appTerm absTerm appTerm nil cons cons 14762 def 400 ref 42 ref 77 ref 42 ref 77 ref 14743 ref appTerm 14763 def appTerm 14693 remove appTerm appTerm appTerm 14764 def 14746 remove appTerm 14765 def nil cons 14766 def cons nil cons 14767 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13521 remove cons nil cons nil cons cons 155 ref subst 13101 remove assume eqMp appThm 14761 ref refl appThm nil 150 ref 14761 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 14768 def 14765 remove refl appThm sym nil 399 ref 17 ref 38 ref 14761 remove absTerm 14769 def appTerm nil cons 14770 def cons 14771 def 14767 remove cons nil cons cons 14772 def 416 ref subst 14772 remove 467 ref subst 14764 ref refl 14773 def 14719 ref refl 14645 ref 14769 ref 47 ref appTerm 14774 def betaConv nil 14771 ref 400 ref 14774 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14769 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 14775 def subst appThm 14745 ref refl appThm appThm sym 580 remove 17 ref 38 ref 41 ref 13103 remove 581 remove appTerm appTerm 584 remove 77 ref 13954 ref 47 ref appTerm appTerm 14776 def appTerm appTerm absTerm appTerm absTerm 14777 def 13104 remove appTerm 14778 def betaConv 14734 remove 13102 remove appTerm 14779 def betaConv 14737 remove nil 14738 remove 400 ref 14779 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 14739 remove 13999 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 14777 ref appTerm nil cons cons 400 ref 14778 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 14777 remove nil cons cons 14715 remove cons nil cons cons 469 ref subst eqMp eqMp 14780 def nil 399 ref 17 ref 38 ref 41 ref 13105 ref appTerm 129 ref 14708 remove appTerm 14776 remove appTerm 14781 def appTerm absTerm appTerm nil cons cons 14782 def 400 ref 14764 ref 14719 remove 77 ref 14692 remove appTerm appTerm 14783 def 14745 remove appTerm appTerm 14784 def nil cons 14785 def cons nil cons 14786 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13523 remove cons nil cons nil cons cons 155 ref subst 13105 remove assume eqMp appThm 14781 ref refl appThm nil 150 ref 14781 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 14787 def 14784 remove refl appThm sym nil 399 ref 17 ref 38 ref 14781 remove absTerm 14788 def appTerm nil cons 14789 def cons 14790 def 14786 remove cons nil cons cons 14791 def 416 ref subst 14791 remove 467 ref subst 14773 remove 14783 ref refl 14744 ref refl 14645 remove 14788 ref 47 ref appTerm 14792 def betaConv nil 14790 ref 400 ref 14792 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14788 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 14793 def subst appThm appThm appThm sym nil 14160 ref 400 ref 14764 remove 14783 remove 14744 remove 77 ref 13954 ref 14518 remove appTerm appTerm appTerm appTerm appTerm 14794 def nil cons 14795 def cons nil cons 14796 def cons nil cons cons 14797 def 416 ref subst 14797 remove 467 ref subst 6237 ref 708 ref appTerm 14798 def betaConv 6240 ref nil 6241 ref 400 ref 14798 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6242 ref 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 14799 def nil 399 ref 1486 ref 718 ref appTerm 167 ref 1003 ref 717 ref 1286 ref appTerm absTerm 14800 def appTerm 14801 def appTerm nil cons cons 14802 def 14796 ref cons nil cons cons 459 ref subst proveHyp 165 ref 1508 ref 14163 ref appThm 14801 ref refl appThm nil 150 ref 14801 ref nil cons cons nil cons nil cons cons 1541 ref subst trans appThm 14803 def 14794 ref refl appThm sym nil 160 ref "is" 14 ref var 14804 def 41 ref 14800 ref 14804 ref varTerm 14805 def appTerm 14806 def appTerm 14807 def 14794 ref appTerm 14808 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 14804 ref nil 150 ref 14808 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 14806 ref nil cons 14809 def cons 14810 def 14796 ref cons nil cons cons 14811 def 416 ref subst 14811 remove 467 ref subst 14806 ref betaConv 14806 remove assume eqMp 14812 def nil 399 ref 717 ref 1285 ref 14805 ref appTerm 14813 def appTerm 14814 def nil cons 14815 def cons 14816 def 14796 ref cons nil cons cons 14817 def 459 ref subst proveHyp 14817 ref 416 ref subst 14817 remove 467 ref subst 129 ref "_49746" 14 ref var 14818 def 42 ref 77 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14221 ref 14818 remove varTerm appTerm appTerm appTerm appTerm 14819 def appTerm 14820 def appTerm appTerm 42 ref 13746 ref 14819 ref appTerm 14821 def appTerm 585 ref 14819 ref appTerm 14822 def appTerm appTerm appTerm appTerm 4371 ref 14821 remove appTerm 77 ref 14822 remove appTerm appTerm 42 ref 14820 remove appTerm 77 ref 13954 ref 14819 remove appTerm appTerm appTerm appTerm appTerm absTerm 14823 def 708 ref appTerm 14824 def appTerm refl 14825 def 14823 ref 14813 ref appTerm betaConv appThm 439 ref 14824 remove betaConv appThm 14826 def 42 ref 77 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14221 ref 14813 ref appTerm appTerm appTerm appTerm 14827 def appTerm 14828 def appTerm 14829 def appTerm 42 ref 13746 ref 14827 ref appTerm 14830 def appTerm 585 ref 14827 ref appTerm 14831 def appTerm appTerm appTerm appTerm 4371 ref 14830 remove appTerm 77 ref 14831 remove appTerm appTerm 42 ref 14828 remove appTerm 77 ref 13954 ref 14827 remove appTerm appTerm appTerm appTerm appTerm 14832 def refl 14833 def appThm trans 14823 remove refl 14834 def 14814 remove assume 14835 def appThm eqMp sym 1006 ref 41 ref 4459 ref 14813 ref appTerm appTerm 14415 ref appTerm absTerm 14836 def 14805 ref appTerm 14837 def betaConv 129 ref "_49882" 14 ref var 14838 def 17 ref 1006 ref 41 ref 4459 ref 14838 remove varTerm appTerm appTerm 14415 ref appTerm absTerm appTerm absTerm 14839 def 708 ref appTerm 14840 def appTerm refl 14841 def 14839 ref 14813 ref appTerm betaConv appThm 439 ref 14840 remove betaConv appThm 14842 def 17 ref 14836 ref appTerm 14843 def refl appThm trans 14839 remove refl 14844 def 14835 ref appThm eqMp 14416 remove assume 14845 def eqMp nil 399 ref 14843 remove nil cons cons 400 ref 14837 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14836 remove nil cons cons 475 ref 14805 ref nil cons 14846 def cons nil cons 14847 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 4349 ref 14805 ref appTerm 14848 def 14813 ref appTerm appTerm 41 ref 14848 ref 11919 ref appTerm 14849 def appTerm 14850 def 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14221 ref 187 ref 14805 ref appTerm 14851 def 192 ref appTerm 14852 def appTerm appTerm appTerm appTerm 14853 def appTerm 14854 def appTerm 14855 def appTerm 13746 ref 14853 ref appTerm 14856 def appTerm 14857 def appTerm 129 ref 585 ref 14853 ref appTerm appTerm 180 ref 14805 ref appTerm 11910 ref appTerm 14858 def appTerm 14859 def appTerm 14860 def appTerm 14861 def appTerm nil cons cons 400 ref 14832 ref nil cons 14862 def cons nil cons 14863 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 1003 ref 14846 ref cons 14864 def nil cons nil cons cons 7678 ref subst 14865 def appThm 14861 ref refl appThm nil 150 ref 14861 ref nil cons 14866 def cons nil cons nil cons cons 614 ref subst trans appThm 14833 remove appThm sym 1003 ref 42 ref 14848 ref 1011 ref appTerm appTerm 14867 def 4362 ref 11919 ref appTerm 14868 def appTerm absTerm 14869 def 14813 ref appTerm betaConv sym 625 ref 14865 remove appThm nil 150 ref 4349 ref 14813 ref appTerm 14870 def 11919 ref appTerm 14871 def nil cons cons nil cons nil cons cons 155 ref subst 129 ref "_49884" 14 ref var 14872 def 4349 ref 14872 remove varTerm appTerm 11919 ref appTerm absTerm 14873 def 708 ref appTerm 14874 def appTerm refl 14875 def 14873 ref 14813 ref appTerm betaConv appThm 439 ref 14874 remove betaConv appThm 14876 def 14871 remove refl appThm trans 14873 remove refl 14877 def 14835 ref appThm eqMp 14581 ref eqMp eqMp 14878 def appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 14869 ref nil cons cons 475 ref 14813 ref nil cons 14879 def cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 14869 remove appTerm nil cons cons 400 ref 14849 ref nil cons 14880 def cons nil cons 14881 def cons nil cons cons 459 ref subst proveHyp nil 1116 ref 12070 ref cons 14882 def 1006 ref 14846 ref cons nil cons 14883 def cons nil cons cons 14884 def 1116 ref 41 ref 167 ref 1003 ref 4554 remove 5993 ref appTerm 14885 def absTerm 14886 def appTerm 14887 def appTerm 14888 def 4560 ref appTerm 14889 def absTerm 14890 def 1117 ref appTerm 14891 def betaConv 1006 ref 17 ref 14890 ref appTerm 14892 def absTerm 14893 def 1009 ref appTerm 14894 def betaConv nil 17 ref 1006 ref 17 ref 1003 ref 17 ref 1116 ref 41 ref 14885 ref appTerm 4560 ref appTerm absTerm 14895 def appTerm 14896 def absTerm 14897 def appTerm 14898 def absTerm 14899 def appTerm 14900 def axiom nil 399 ref 14900 ref nil cons 14901 def cons 14902 def 400 ref 17 ref 14893 ref appTerm nil cons 14903 def cons nil cons cons nil cons cons 14904 def 459 ref subst proveHyp 14904 ref 416 ref subst 14904 remove 467 ref subst nil 160 ref 14893 remove nil cons cons 14905 def nil cons nil cons cons 164 ref subst 1006 ref nil 150 ref 14892 remove nil cons 14906 def cons nil cons nil cons cons 155 ref subst nil 160 ref 14890 remove nil cons cons 14907 def nil cons nil cons cons 164 ref subst 1116 ref nil 150 ref 14889 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 14887 remove nil cons 14908 def cons 14909 def 4583 ref cons nil cons cons 14910 def 416 ref subst 14910 remove 467 ref subst nil 14902 ref 4583 ref cons nil cons cons 14911 def 459 ref subst nil 14909 remove 400 ref 41 ref 14900 remove appTerm 4560 ref appTerm 14912 def nil cons 14913 def cons nil cons 14914 def cons nil cons cons 459 ref subst nil 160 ref 1003 ref 41 ref 14886 ref 1011 ref appTerm 14915 def appTerm 14912 ref appTerm 14916 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 14916 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 14915 ref nil cons 14917 def cons 14914 ref cons nil cons cons 14918 def 416 ref subst 14918 remove 467 ref subst 14915 ref betaConv 14915 remove assume eqMp nil 399 ref 14885 remove nil cons 14919 def cons 14920 def 14914 remove cons nil cons cons 14921 def 459 ref subst proveHyp 14921 ref 416 ref subst 14921 remove 467 ref subst 14911 ref 416 ref subst 14911 remove 467 ref subst nil 14920 remove 4583 ref cons nil cons cons 459 ref subst 14895 ref 1117 ref appTerm 14922 def betaConv 14897 ref 1011 ref appTerm 14923 def betaConv 14899 ref 1009 ref appTerm 14924 def betaConv nil 14902 remove 400 ref 14924 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14899 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14898 remove nil cons cons 400 ref 14923 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14897 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14896 remove nil cons cons 400 ref 14922 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14895 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 14901 remove cons 14925 def 4600 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 14919 remove cons 437 ref 14913 remove cons nil cons 14926 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 14917 remove cons 14926 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 14886 ref 689 ref appTerm appTerm 14912 ref appTerm absTerm appTerm nil cons cons 400 ref 14888 remove 14912 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14886 remove nil cons cons 14926 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 14908 remove cons 4600 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 14925 remove 437 ref 14903 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 14903 remove cons 400 ref 14894 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14905 remove 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14906 remove cons 400 ref 14891 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14907 remove 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 14927 def subst eqMp nil 399 ref 14880 remove cons 14928 def 400 ref 41 ref 14860 ref appTerm 14929 def 14832 ref appTerm 14930 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 14860 remove nil cons 14931 def cons 14932 def 14863 remove cons nil cons cons 14933 def 416 ref subst 14933 remove 467 ref subst nil 435 ref 14857 remove nil cons cons 437 ref 14859 ref nil cons cons nil cons cons nil cons cons 14934 def 451 ref subst 14935 def 14934 remove 515 ref subst nil 435 ref 14855 remove nil cons 14936 def cons 437 ref 14856 ref nil cons 14937 def cons nil cons cons nil cons cons 14938 def 451 ref subst 14939 def 14938 remove 515 ref subst 625 ref 620 ref 625 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 14221 ref refl 14940 def nil 14883 ref nil cons cons 4539 ref subst appThm appThm appThm appThm 14941 def appThm nil 399 ref 14936 remove cons 400 ref 129 ref 14854 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 14854 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp trans 14942 def appThm 1507 ref trans 14943 def appThm 625 ref 13814 ref 14941 ref appThm nil 150 ref 14937 remove cons nil cons nil cons cons 155 ref subst 14856 remove assume eqMp trans 14944 def appThm 585 ref refl 14945 def 14941 ref appThm 14859 remove assume trans 14946 def appThm nil 150 ref 14858 ref nil cons cons nil cons nil cons cons 633 ref subst 14947 def trans appThm 14947 remove trans appThm appThm 4386 ref 14944 remove appThm 620 ref 14946 remove appThm appThm 625 ref 14942 remove appThm 620 ref 13954 ref refl 14948 def 14941 remove appThm appThm appThm nil 150 ref 77 ref 13954 ref 14853 remove appTerm appTerm nil cons cons nil cons nil cons cons 1506 ref subst trans appThm nil 1811 ref 1424 ref cons 14949 def 1812 ref 77 ref 14858 ref appTerm nil cons 14950 def cons nil cons cons nil cons cons 1419 ref 3318 remove subst 14951 def subst trans appThm nil 150 ref 14950 ref cons nil cons nil cons cons 2016 remove subst trans sym nil 1003 ref 12306 ref cons 14952 def 14883 ref cons nil cons cons 14953 def 1003 ref 4461 ref 4349 ref 1305 ref appTerm 1286 ref appTerm 14954 def appTerm 14955 def absTerm 14956 def 1011 ref appTerm 14957 def betaConv 1006 ref 17 ref 14956 ref appTerm 14958 def absTerm 14959 def 1009 ref appTerm 14960 def betaConv 603 ref 1006 ref 603 ref 1003 ref 14955 remove assume sym 129 ref 14954 remove appTerm 4460 ref appTerm 14961 def assume sym deductAntisym absThm appThm absThm appThm nil 17 ref 1006 ref 17 ref 1003 ref 14961 remove absTerm 14962 def appTerm 14963 def absTerm 14964 def appTerm 14965 def axiom 14966 def eqMp nil 399 ref 17 ref 14959 ref appTerm nil cons cons 400 ref 14960 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14959 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14958 remove nil cons cons 400 ref 14957 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14956 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 14967 def subst sym 14870 remove refl 12501 ref 1003 ref 180 ref 1306 remove appTerm 1315 remove appTerm 14968 def absTerm 14969 def 1011 ref appTerm 14970 def betaConv 1006 ref 17 ref 14969 ref appTerm 14971 def absTerm 14972 def 1009 ref appTerm 14973 def betaConv 603 ref 1006 ref 603 ref 1003 ref 14968 remove assume sym 1316 remove assume sym deductAntisym absThm appThm absThm appThm 1323 remove eqMp nil 399 ref 17 ref 14972 ref appTerm nil cons cons 400 ref 14973 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14972 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14971 remove nil cons cons 400 ref 14970 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14969 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 14974 def subst 1223 ref nil 12503 ref nil cons cons 14975 def 14974 ref subst 1229 ref nil 12504 ref nil cons cons 14976 def 14974 ref subst 1235 ref nil 12505 ref nil cons cons 14977 def 14974 ref subst 12506 ref nil 12190 ref nil cons cons 14978 def 14974 ref subst 1243 ref 3369 ref 2118 ref 1011 ref appTerm 14979 def betaConv 4402 remove 4405 remove 451 ref subst proveHyp nil 399 ref 4403 remove cons 400 ref 14979 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 2118 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst 14980 def appThm trans appThm trans appThm trans appThm trans appThm trans appThm 14878 remove trans sym 154 ref eqMp eqMp nil 399 ref 14848 ref 11910 ref appTerm nil cons cons 400 ref 14950 remove cons nil cons cons nil cons cons 459 ref subst proveHyp 14953 remove 1003 ref 6078 ref 77 ref 1107 ref appTerm appTerm absTerm 14981 def 1011 ref appTerm 14982 def betaConv 1006 ref 17 ref 14981 ref appTerm 14983 def absTerm 14984 def 1009 ref appTerm 14985 def betaConv nil 17 ref 14984 ref appTerm 14986 def axiom nil 399 ref 14986 remove nil cons cons 400 ref 14985 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14984 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14983 remove nil cons cons 400 ref 14982 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14981 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 14987 def subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 14931 ref cons 14988 def 437 ref 14862 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 14849 remove appTerm 14989 def 14930 remove appTerm nil cons cons 400 ref 41 ref 14861 remove appTerm 14990 def 14832 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 14862 remove cons 400 ref 14931 remove cons 14928 ref nil cons 14991 def cons 14992 def cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp eqMp nil 435 ref 14815 remove cons 14993 def 437 ref 14795 ref cons nil cons 14994 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 14809 remove cons 14995 def 14994 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 14800 ref 689 ref appTerm appTerm 14996 def 14794 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 14801 remove appTerm 14997 def 14794 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14800 remove nil cons cons 14998 def 14994 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 14153 ref 14994 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 14178 ref 14796 remove cons nil cons cons 14999 def 416 ref subst 14999 remove 467 ref subst 14825 remove "_49888" 14 ref var 15000 def 42 ref 77 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14221 ref 15000 remove varTerm appTerm appTerm appTerm appTerm 15001 def appTerm 15002 def appTerm appTerm 42 ref 13746 ref 15001 ref appTerm 15003 def appTerm 585 ref 15001 ref appTerm 15004 def appTerm appTerm appTerm appTerm 4371 ref 15003 remove appTerm 77 ref 15004 remove appTerm appTerm 42 ref 15002 remove appTerm 77 ref 13954 ref 15001 remove appTerm appTerm appTerm appTerm appTerm absTerm 191 ref appTerm betaConv appThm 14826 remove 42 ref 77 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14221 ref 191 ref appTerm appTerm appTerm appTerm 15005 def appTerm 15006 def appTerm appTerm 42 ref 13746 ref 15005 ref appTerm 15007 def appTerm 585 ref 15005 ref appTerm 15008 def appTerm appTerm appTerm appTerm 4371 ref 15007 remove appTerm 77 ref 15008 remove appTerm appTerm 42 ref 15006 remove appTerm 77 ref 13954 ref 15005 remove appTerm appTerm appTerm appTerm appTerm refl appThm trans 14834 remove 14180 ref appThm eqMp sym 625 ref 620 ref 625 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref nil 14609 ref nil cons cons 1366 ref subst 15009 def appThm appThm appThm 15010 def appThm nil 150 ref 14274 remove cons nil cons nil cons cons 155 ref subst 14273 remove assume 15011 def eqMp 15012 def trans 15013 def appThm 1535 ref trans appThm 625 ref 13814 ref 15010 ref appThm 15014 def appThm 14945 ref 15010 ref appThm 15015 def appThm appThm nil 150 ref 42 ref 13746 ref 14272 ref appTerm 15016 def appTerm 585 ref 14272 ref appTerm 15017 def appTerm nil cons cons nil cons nil cons cons 1506 ref subst trans appThm 1507 ref trans appThm 4386 ref 15014 remove appThm 620 ref 15015 remove appThm appThm 625 ref 15013 remove appThm 620 ref 14948 ref 15010 remove appThm appThm appThm nil 150 ref 77 ref 13954 ref 14272 ref appTerm appTerm 15018 def nil cons cons nil cons nil cons cons 633 ref subst trans appThm appThm nil 150 ref 4371 ref 15016 remove appTerm 77 ref 15017 remove appTerm appTerm 15018 remove appTerm 15019 def nil cons 15020 def cons nil cons nil cons cons 633 ref subst trans sym nil 14269 ref 400 ref 15020 ref cons nil cons 15021 def cons nil cons cons 15022 def 416 ref subst 15022 remove 467 ref subst 14279 ref nil 14282 ref 15021 ref cons nil cons cons 459 ref subst proveHyp 14285 ref 15019 ref refl appThm sym nil 160 ref 14286 ref 14289 ref 15019 ref appTerm 15023 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 14286 ref nil 150 ref 15023 remove nil cons cons nil cons nil cons cons 155 ref subst nil 14292 ref 15021 ref cons nil cons cons 15024 def 416 ref subst 15024 remove 467 ref subst 14294 ref nil 14298 ref 15021 ref cons nil cons cons 15025 def 459 ref subst proveHyp 15025 ref 416 ref subst 15025 remove 467 ref subst 129 ref "_50168" 14 ref var 15026 def 4371 ref 13746 ref 713 ref 12941 ref 2714 ref 13043 ref 15026 remove varTerm appTerm appTerm appTerm appTerm 15027 def appTerm appTerm 77 ref 585 ref 15027 ref appTerm appTerm appTerm 77 ref 13954 ref 15027 remove appTerm appTerm appTerm absTerm 15028 def 14206 ref appTerm 15029 def appTerm refl 15030 def 15028 ref 14295 ref appTerm betaConv appThm 439 ref 15029 remove betaConv appThm 15031 def 4371 ref 14330 ref appTerm 77 ref 585 ref 14304 ref appTerm appTerm 15032 def appTerm 77 ref 13954 ref 14304 remove appTerm appTerm 15033 def appTerm 15034 def refl 15035 def appThm trans 15028 remove refl 15036 def 14308 ref appThm eqMp sym 14321 ref nil 14347 ref 400 ref 15034 ref nil cons 15037 def cons nil cons 15038 def cons nil cons cons 459 ref subst proveHyp 14353 remove 15035 remove appThm sym 14368 ref nil 14369 ref 400 ref 14370 ref 15034 ref appTerm 15039 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 14373 ref 15038 remove cons nil cons cons 15040 def 416 ref subst 15040 remove 467 ref subst 14377 ref 14378 remove 515 ref subst 15041 def nil 435 ref 14331 remove nil cons 15042 def cons 437 ref 14341 remove nil cons cons nil cons cons nil cons cons 15043 def 451 ref subst 15043 remove 515 ref subst 15044 def nil 435 ref 14333 ref nil cons 15045 def cons 437 ref 14340 ref nil cons cons nil cons cons nil cons cons 15046 def 515 ref subst 15047 def 4386 ref nil 399 ref 15042 remove cons 400 ref 129 ref 14330 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 14330 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp 15048 def appThm 15032 ref refl appThm 15033 ref refl appThm nil 1811 ref 15033 ref nil cons 15049 def cons 1812 ref 15032 remove nil cons cons nil cons cons nil cons cons 4530 ref subst trans sym 129 ref "_50306" 14 ref var 15050 def 698 ref 15050 remove varTerm appTerm 12928 ref appTerm absTerm 15051 def 12917 ref appTerm 15052 def appTerm refl 15051 ref 12916 ref appTerm betaConv appThm 439 ref 15052 remove betaConv appThm 698 ref 12916 ref appTerm 15053 def 12928 ref appTerm 15054 def refl appThm trans 15051 remove refl 13646 remove sym 15055 def appThm eqMp sym 1003 ref 42 ref 15053 ref 1011 ref appTerm appTerm 14579 remove appTerm absTerm 15056 def 12281 ref 12915 ref appTerm 15057 def appTerm betaConv sym 625 ref nil 1116 ref 1004 ref cons 15058 def 1006 ref 12915 ref nil cons 15059 def cons 1213 ref nil cons 15060 def cons cons nil cons cons 4718 ref subst 12023 ref trans appThm 698 ref 15057 ref appTerm 12928 ref appTerm 15061 def refl appThm nil 150 ref 15061 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym 4701 ref nil 2073 ref 12476 ref 12332 remove cons cons nil cons cons 2078 ref subst 1368 ref 1368 ref nil 7966 remove 2082 ref cons nil cons cons 2078 ref subst nil 7986 ref 2089 ref cons nil cons cons 2078 ref subst nil 2073 ref 2096 ref cons nil cons cons 2078 ref subst trans trans appThm 69 ref refl 15062 def appThm appThm 2100 ref appThm trans appThm 14453 remove 14462 ref refl 9589 remove appThm nil 2073 ref 9573 ref 1006 ref 14461 remove nil cons cons nil cons 15063 def cons cons nil cons cons 2078 ref subst trans trans appThm nil 1116 ref 14462 remove 732 ref appTerm nil cons cons 2719 ref 1003 ref 12227 remove 69 ref appTerm nil cons cons nil cons cons cons nil cons cons 4718 ref subst trans sym 4701 ref nil 12058 ref 12215 remove cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 69 ref appTerm 15064 def nil cons cons 2096 ref cons nil cons cons 1169 ref subst nil 1116 ref 189 ref 15064 remove appTerm 15065 def nil cons 15066 def cons 2089 ref cons nil cons cons 1169 ref subst nil 1116 ref 701 ref 15065 ref appTerm 15067 def nil cons 15068 def cons 2082 ref cons nil cons cons 1169 ref subst trans trans trans appThm nil 9592 ref 14451 ref cons nil cons cons 1169 ref subst nil 1116 ref 12062 remove cons 15069 def 14448 ref cons nil cons cons 1169 ref subst nil 1116 ref 12076 remove cons 15070 def 2089 ref cons nil cons cons 1169 ref subst nil 1116 ref 12074 remove cons 15071 def 2082 ref cons nil cons cons 1169 ref subst trans trans trans appThm nil 1116 ref 12072 remove cons 15072 def 1003 ref 700 ref 15067 remove appTerm nil cons cons 1221 ref cons 15073 def cons nil cons cons 6045 ref subst nil 15071 ref 1003 ref 15068 remove cons 1227 ref cons 15074 def cons nil cons cons 6045 ref subst nil 15070 ref 1003 ref 15066 remove cons 1233 ref cons 15075 def cons nil cons cons 6045 ref subst trans trans trans sym 698 ref 15065 remove appTerm refl 15076 def 12082 ref appThm sym 4701 ref nil 12058 ref 1241 ref cons nil cons cons 15077 def 2078 ref subst appThm 15078 def 1368 ref 1243 ref 10240 remove sym appThm 12342 remove 2078 ref subst trans appThm 15062 ref appThm appThm nil 1116 ref 4864 ref 192 ref appTerm nil cons cons 12078 ref 3213 remove cons 15079 def cons nil cons cons 4718 ref subst nil 2085 remove 2719 ref 4196 remove cons 15080 def cons nil cons cons 4718 ref subst trans trans sym 14978 ref 6133 ref subst sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 15056 ref nil cons cons 475 ref 15057 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 15056 remove appTerm nil cons cons 400 ref 15054 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14576 ref 1006 ref 12916 ref nil cons 15081 def cons nil cons 15082 def cons nil cons cons 4776 ref subst eqMp eqMp 15083 def nil 14589 ref 13635 ref cons nil cons cons 1028 ref subst 13918 remove 12928 ref appTerm assume eqMp 15084 def nil 399 ref 167 ref 1014 ref 14552 ref 12941 ref 1017 ref appTerm 15085 def appTerm absTerm 15086 def appTerm 15087 def nil cons cons 15088 def 400 ref 15049 ref cons nil cons 15089 def cons nil cons cons 459 ref subst proveHyp nil 160 ref "dl" 14 ref var 15090 def 41 ref 15086 ref 15090 ref varTerm 15091 def appTerm 15092 def appTerm 15093 def 15033 ref appTerm 15094 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 15090 ref nil 150 ref 15094 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 15092 ref nil cons 15095 def cons 15096 def 15089 ref cons nil cons cons 15097 def 416 ref subst 15097 remove 467 ref subst 15092 ref betaConv 15092 remove assume eqMp 15098 def nil 399 ref 14552 ref 12941 ref 15091 ref appTerm 15099 def appTerm 15100 def nil cons 15101 def cons 15102 def 15089 ref cons nil cons cons 15103 def 459 ref subst proveHyp 15103 ref 416 ref subst 15103 remove 467 ref subst 14201 ref 187 ref 15091 ref appTerm 15104 def 2195 ref 15099 ref appTerm 15105 def 14287 ref appTerm 15106 def appTerm 15107 def appTerm 15108 def betaConv nil 14203 ref 400 ref 15108 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14201 ref nil cons cons 15109 def 475 ref 15107 ref nil cons 15110 def cons nil cons 15111 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 17 ref 707 ref 41 ref 14135 ref 709 ref 15107 ref appTerm 15112 def appTerm 15113 def appTerm 14138 ref appTerm 15114 def absTerm 15115 def appTerm 15116 def appTerm 129 ref 13954 ref 14001 ref 15107 ref appTerm appTerm appTerm 13955 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 13971 ref 15107 ref appTerm 15117 def appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 15118 def appTerm 15119 def appTerm 15120 def nil cons cons 15089 remove cons nil cons cons 459 ref subst proveHyp nil 160 ref 15115 remove nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 15114 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 15113 remove nil cons 15121 def cons 14150 ref cons nil cons cons 15122 def 416 ref subst 15122 remove 467 ref subst nil 14153 ref 437 ref 15112 ref nil cons 15123 def cons nil cons cons nil cons cons 15124 def 451 ref subst 15124 remove 515 ref subst 1003 ref 7820 ref 4352 ref 14303 ref appTerm 15125 def appTerm absTerm 15126 def 15107 ref appTerm betaConv sym 625 ref nil 150 ref 15123 remove cons nil cons nil cons cons 155 ref subst 15112 remove assume eqMp appThm 698 ref 15107 ref appTerm refl nil 14350 ref 14398 ref cons 15127 def nil cons cons 15128 def 14569 ref 1011 ref appTerm 15129 def betaConv 14571 ref 1009 ref appTerm 15130 def betaConv 14573 remove nil 399 ref 14572 remove nil cons cons 400 ref 15130 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14571 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14570 remove nil cons cons 400 ref 15129 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14569 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 15131 def subst 15132 def 1368 ref 15100 remove assume 15133 def appThm 15134 def 3238 ref 15133 ref appThm 15135 def 14287 ref refl 15136 def appThm appThm trans appThm nil 1116 ref 15099 remove nil cons 15137 def cons 15138 def 1006 ref 15106 ref nil cons 15139 def cons 1003 ref 15091 ref nil cons 15140 def cons 15141 def nil cons 15142 def cons cons nil cons cons 4718 ref subst nil 13634 remove 15142 ref cons nil cons cons 4727 ref subst 15143 def trans trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 15126 ref nil cons cons 15144 def 15111 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 15126 ref appTerm nil cons cons 400 ref 709 ref 14303 ref appTerm 15145 def nil cons 15146 def cons nil cons 15147 def cons nil cons cons 459 ref subst 15148 def proveHyp nil 1116 ref 14303 ref nil cons 15149 def cons 15150 def 7647 ref cons nil cons cons 4776 ref subst 15151 def eqMp nil 399 ref 15146 ref cons 14150 ref cons nil cons cons 459 ref subst nil 14160 ref 400 ref 41 ref 15145 ref appTerm 14138 ref appTerm 15152 def nil cons cons nil cons cons nil cons cons 459 ref subst 1003 ref 3268 ref 42 ref 717 ref 187 ref 3222 ref "Number.Natural.div" const 186 remove constTerm 15153 def 708 ref appTerm 15154 def 1011 ref appTerm appTerm appTerm 2217 ref 708 ref appTerm 15155 def 1011 ref appTerm 15156 def appTerm appTerm appTerm 4349 ref 15156 remove appTerm 1011 ref appTerm appTerm appTerm absTerm 15157 def 12928 ref appTerm 15158 def betaConv 1006 ref 17 ref 1003 ref 3268 ref 42 ref 1106 ref 187 ref 3222 ref 15153 ref 1009 ref appTerm 1011 ref appTerm 15159 def appTerm appTerm 3432 ref appTerm appTerm appTerm 4349 ref 3432 ref appTerm 1011 ref appTerm 15160 def appTerm appTerm absTerm appTerm absTerm 15161 def 708 ref appTerm 15162 def betaConv 603 ref 1006 ref 603 ref 1003 ref 3268 ref refl 625 ref 1106 ref refl 1368 ref nil 1006 ref 15159 ref nil cons cons nil cons nil cons cons 3236 ref subst appThm 3432 ref refl appThm appThm appThm 15160 ref refl 15163 def appThm appThm absThm appThm absThm appThm nil 399 ref 17 ref 1006 ref 17 ref 1003 ref 3268 ref 42 ref 1106 ref 187 ref 2195 ref 15159 remove appTerm 1011 ref appTerm appTerm 3432 ref appTerm 15164 def appTerm 15165 def appTerm 15160 ref appTerm 15166 def appTerm absTerm 15167 def appTerm absTerm 15168 def appTerm 15169 def nil cons cons nil cons nil cons cons 1421 remove subst sym nil 399 ref 77 ref 15169 remove appTerm 15170 def nil cons 15171 def cons 15172 def 1425 ref cons nil cons cons 15173 def 416 ref subst 15173 remove 467 ref subst nil 17 ref 1006 ref 17 ref 1003 ref 3268 ref 180 ref 15164 ref appTerm 15174 def 1009 ref appTerm 15175 def appTerm absTerm appTerm absTerm appTerm 15176 def axiom nil 399 ref 15176 ref nil cons 15177 def cons 1425 ref cons nil cons cons 15178 def 459 ref subst proveHyp nil 17 ref 1006 ref 17 ref 1003 ref 3268 ref 15160 ref appTerm absTerm appTerm absTerm appTerm 15179 def axiom nil 399 ref 15179 ref nil cons 15180 def cons 15181 def 400 ref 41 ref 15176 ref appTerm 1407 ref appTerm 15182 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 15172 ref 400 ref 41 ref 15179 ref appTerm 15183 def 15182 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst 41 ref 15170 ref appTerm refl 15183 ref refl nil 150 ref 15177 ref cons nil cons nil cons cons 1412 ref subst 15184 def appThm appThm sym nil 15172 remove 400 ref 15183 remove 77 ref 15176 ref appTerm 15185 def appTerm nil cons 15186 def cons nil cons cons nil cons cons 15187 def 416 ref subst 15187 remove 467 ref subst nil 15181 remove 400 ref 15185 remove nil cons 15188 def cons nil cons cons nil cons cons 15189 def 416 ref subst 15189 remove 467 ref subst 15184 remove 15178 ref 416 ref subst 15178 remove 467 ref subst nil 160 ref 15168 ref nil cons cons nil cons nil cons cons 1596 ref subst 1597 ref 1006 ref 620 ref 15168 remove 1009 ref appTerm betaConv appThm nil 160 ref 15167 ref nil cons cons nil cons nil cons cons 1596 remove subst 1597 ref 1003 ref 620 ref 15167 remove 1011 ref appTerm betaConv appThm nil 3264 ref 400 ref 15166 remove nil cons cons nil cons cons nil cons cons nil 1485 ref 400 ref 129 ref 77 ref 404 remove appTerm appTerm 406 remove 1488 ref appTerm appTerm nil cons 15190 def cons nil cons 15191 def cons nil cons cons 15192 def 416 ref subst 15192 remove 467 ref subst 129 ref "_542" 2 ref var 15193 def 129 ref 77 ref 41 ref 15193 remove varTerm 15194 def appTerm 403 ref appTerm appTerm appTerm 42 ref 15194 remove appTerm 1488 ref appTerm appTerm absTerm 15195 def 401 ref appTerm 15196 def appTerm refl 15197 def 15195 ref 1407 ref appTerm betaConv appThm 439 ref 15196 remove betaConv appThm 15198 def 129 ref 77 ref 1859 ref 403 ref appTerm 15199 def appTerm appTerm 1498 ref 1488 ref appTerm appTerm refl appThm trans 15195 remove refl 15200 def 1502 ref appThm eqMp sym 439 ref 620 ref 432 ref 1865 ref subst 15201 def appThm 1535 ref trans appThm 4522 remove appThm 1803 ref trans sym 154 ref eqMp eqMp eqMp nil 1524 ref 437 ref 15190 ref cons nil cons 15202 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 1528 ref 15191 remove cons nil cons cons 15203 def 416 ref subst 15203 remove 467 ref subst 15197 remove "_540" 2 ref var 15204 def 129 ref 77 ref 41 ref 15204 remove varTerm 15205 def appTerm 403 ref appTerm appTerm appTerm 42 ref 15205 remove appTerm 1488 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 15198 remove 129 ref 77 ref 604 ref 403 ref appTerm 15206 def appTerm appTerm 629 ref 1488 remove appTerm appTerm refl appThm trans 15200 remove 1534 ref appThm eqMp sym 439 ref 620 ref 432 remove 614 ref subst 15207 def appThm appThm 4516 remove appThm 1542 remove trans sym 154 ref eqMp eqMp eqMp nil 1543 ref 15202 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1551 ref nil 1543 ref 1552 ref 1553 ref 15190 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp subst 2296 remove nil 399 ref 15165 ref nil cons 15208 def cons 15209 def 400 ref 15160 ref nil cons 15210 def cons nil cons 15211 def cons nil cons cons 1572 remove subst appThm trans trans absThm appThm trans trans absThm appThm trans 15170 remove assume eqMp nil 399 ref 167 ref 1006 ref 167 ref 1003 ref 2186 ref 1486 ref 77 ref 15165 remove appTerm 15212 def appTerm 77 ref 15160 ref appTerm 15213 def appTerm 15214 def appTerm 15215 def absTerm 15216 def appTerm 15217 def absTerm 15218 def appTerm 15219 def nil cons cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 1006 ref 41 ref 15218 ref 1009 ref appTerm 15220 def appTerm 1407 ref appTerm 15221 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1006 ref nil 150 ref 15221 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 15220 ref nil cons 15222 def cons 1425 ref cons nil cons cons 15223 def 416 ref subst 15223 remove 467 ref subst 15220 ref betaConv 15220 remove assume eqMp nil 399 ref 15217 ref nil cons cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 1003 ref 41 ref 15216 ref 1011 ref appTerm 15224 def appTerm 1407 ref appTerm 15225 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 15225 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 15224 ref nil cons 15226 def cons 1425 ref cons nil cons cons 15227 def 416 ref subst 15227 remove 467 ref subst 15224 ref betaConv 15224 remove assume eqMp nil 399 ref 15215 remove nil cons 15228 def cons 1425 ref cons nil cons cons 15229 def 459 ref subst proveHyp 15229 ref 416 ref subst 15229 remove 467 ref subst nil 399 ref 15213 ref nil cons 15230 def cons 1425 ref cons nil cons cons 15231 def 416 ref subst 15231 remove 467 ref subst nil "_2345" 14 ref var 15232 def 1024 ref cons nil cons nil cons cons nil 2515 ref 437 ref 15214 remove nil cons cons nil cons cons nil cons cons 15233 def 451 ref subst 15234 def nil 3264 ref 400 ref 4349 ref 2217 ref 15232 remove varTerm 15235 def appTerm 15236 def 1011 ref appTerm appTerm 1011 ref appTerm 15237 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil "_2346" 14 ref var 15238 def 1026 ref cons nil cons nil cons cons nil 1712 ref 180 ref 15238 remove varTerm 15239 def appTerm 191 ref appTerm nil cons 15240 def cons 1722 ref 4349 ref 15236 remove 15239 ref appTerm appTerm 15239 ref appTerm nil cons 15241 def cons nil cons cons nil cons cons 1774 ref subst nil 400 ref 15241 remove cons 399 ref 15240 remove cons nil cons cons nil cons cons 1827 ref subst 1003 ref 1486 ref 2184 ref appTerm 15242 def 15237 remove appTerm absTerm 15243 def 15239 ref appTerm 15244 def betaConv 1006 ref 17 ref 1003 ref 15242 ref 15160 remove appTerm absTerm appTerm absTerm 15245 def 15235 ref appTerm 15246 def betaConv 603 ref 1006 ref 603 ref 1003 ref nil 3264 ref 15211 remove cons nil cons cons nil 1485 remove 400 ref 405 remove 1487 remove 403 ref appTerm appTerm nil cons 15247 def cons nil cons 15248 def cons nil cons cons 15249 def 416 ref subst 15249 remove 467 ref subst 129 ref "_538" 2 ref var 15250 def 129 ref 41 ref 15250 remove varTerm 15251 def appTerm 403 ref appTerm appTerm 1486 ref 77 ref 15251 remove appTerm appTerm 403 ref appTerm appTerm absTerm 15252 def 401 remove appTerm 15253 def appTerm refl 15254 def 15252 ref 1407 ref appTerm betaConv appThm 439 ref 15253 remove betaConv appThm 15255 def 129 ref 15199 remove appTerm 1500 ref 403 ref appTerm appTerm refl appThm trans 15252 remove refl 15256 def 1502 remove appThm eqMp sym 439 ref 15201 remove appThm 1509 ref 411 ref appThm 4521 remove trans appThm 1523 ref trans sym 154 ref eqMp eqMp eqMp nil 1524 remove 437 ref 15247 ref cons nil cons 15257 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 1528 remove 15248 remove cons nil cons cons 15258 def 416 ref subst 15258 remove 467 ref subst 15254 remove "_536" 2 ref var 15259 def 129 ref 41 ref 15259 remove varTerm 15260 def appTerm 403 ref appTerm appTerm 1486 ref 77 ref 15260 remove appTerm appTerm 403 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 15255 remove 129 ref 15206 remove appTerm 1533 ref 403 remove appTerm appTerm refl appThm trans 15256 remove 1534 remove appThm eqMp sym 439 ref 15207 remove appThm 1536 ref 411 remove appThm 4515 remove trans appThm nil 611 ref 431 remove cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp eqMp eqMp nil 1543 ref 15257 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1551 remove nil 1543 remove 1552 remove 1553 ref 15247 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp 15261 def subst 1508 ref nil 399 ref 3406 ref cons 15262 def nil cons nil cons cons 1417 remove subst appThm 15263 def 15163 remove appThm trans absThm appThm absThm appThm 15179 remove assume eqMp nil 399 ref 17 ref 15245 ref appTerm nil cons cons 400 ref 15246 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15245 remove nil cons cons 475 ref 15235 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 15243 ref appTerm nil cons cons 400 ref 15244 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15243 remove nil cons cons 475 ref 15239 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp subst eqMp subst nil 399 ref 15210 remove cons 15264 def 1425 ref cons nil cons cons 459 ref subst proveHyp nil 15264 remove nil cons nil cons cons 1977 ref subst 15213 remove assume eqMp eqMp eqMp nil 435 ref 15230 ref cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 15212 ref nil cons 15265 def cons 1425 ref cons nil cons cons 15266 def 416 ref subst 15266 remove 467 ref subst nil "_2343" 14 ref var 15267 def 1024 ref cons nil cons nil cons cons 15234 remove nil 3264 ref 400 ref 180 ref 187 ref 2195 ref 15153 ref 15267 remove varTerm 15268 def appTerm 15269 def 1011 ref appTerm appTerm 1011 ref appTerm appTerm 2217 ref 15268 ref appTerm 15270 def 1011 ref appTerm appTerm appTerm 15268 ref appTerm 15271 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil "_2344" 14 ref var 15272 def 1026 remove cons nil cons nil cons cons nil 1712 remove 180 ref 15272 remove varTerm 15273 def appTerm 191 ref appTerm 15274 def nil cons 15275 def cons 1722 remove 180 ref 187 ref 2195 ref 15269 remove 15273 ref appTerm appTerm 15273 ref appTerm appTerm 15270 remove 15273 ref appTerm appTerm appTerm 15268 ref appTerm 15276 def nil cons 15277 def cons nil cons cons nil cons cons 1774 remove subst 129 ref 1486 ref 15274 remove appTerm 15276 remove appTerm 15278 def appTerm refl nil 400 ref 15275 remove cons 399 ref 15277 remove cons nil cons cons nil cons cons 1827 remove subst appThm nil 611 ref 15278 remove nil cons cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp 1003 ref 15242 ref 15271 remove appTerm absTerm 15279 def 15273 ref appTerm 15280 def betaConv 1006 ref 17 ref 1003 ref 15242 remove 15175 ref appTerm absTerm appTerm absTerm 15281 def 15268 ref appTerm 15282 def betaConv 603 ref 1006 ref 603 ref 1003 ref nil 3264 remove 400 ref 15175 ref nil cons 15283 def cons nil cons cons nil cons cons 15261 remove subst 15263 remove 15175 ref refl appThm trans absThm appThm absThm appThm 15176 remove assume eqMp nil 399 ref 17 ref 15281 ref appTerm nil cons cons 400 ref 15282 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15281 remove nil cons cons 475 ref 15268 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 15279 ref appTerm nil cons cons 400 ref 15280 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15279 remove nil cons cons 475 ref 15273 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp subst eqMp subst nil 399 ref 15283 remove cons 400 ref 15174 remove 15164 ref appTerm 15284 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 475 ref 15164 remove nil cons 15285 def cons nil cons 15286 def nil cons cons 1995 remove subst eqMp nil 399 ref 42 ref 15175 remove appTerm 15284 remove appTerm nil cons cons 400 ref 15208 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1876 remove 15285 remove cons 1878 ref 1024 remove cons 15286 remove cons cons nil cons cons 1973 remove subst eqMp nil 15209 ref 1425 ref cons nil cons cons 459 ref subst proveHyp nil 15209 remove nil cons nil cons cons 1977 remove subst 15212 remove assume eqMp eqMp eqMp nil 435 ref 15265 remove cons 15287 def 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp 15233 remove 515 ref subst nil 15287 remove 437 ref 15230 remove cons 1999 ref cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp nil 435 ref 15228 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 15226 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 15216 ref 689 ref appTerm appTerm 1407 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 15217 remove appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15216 remove nil cons cons 1978 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 15222 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 15218 ref 689 ref appTerm appTerm 1407 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 15219 remove appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15218 remove nil cons cons 1978 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 15177 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 15180 remove cons 437 ref 15188 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 15171 remove cons 15288 def 437 ref 15186 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 15288 remove 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp 15289 def nil 399 ref 17 ref 15161 ref appTerm nil cons cons 15290 def 400 ref 15162 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15161 ref nil cons cons 15291 def 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 15157 ref appTerm nil cons cons 400 ref 15158 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15157 remove nil cons cons 475 ref 14396 remove cons nil cons 15292 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 77 ref 14553 remove appTerm 15293 def appTerm 15294 def 42 ref 717 ref 187 ref 13043 ref 15154 remove 12928 ref appTerm 15295 def appTerm appTerm 15155 remove 12928 ref appTerm 15296 def appTerm 15297 def appTerm 15298 def appTerm 4349 ref 15296 ref appTerm 12928 ref appTerm 15299 def appTerm 15300 def appTerm 15301 def nil cons cons 400 ref 41 ref 14134 remove appTerm 15302 def 15152 remove appTerm 15303 def nil cons 15304 def cons nil cons 15305 def cons nil cons cons 459 ref subst proveHyp 620 ref nil 1003 ref 14582 remove cons 1221 ref cons 15306 def nil cons cons 6617 ref subst 42 ref 180 ref 58 ref appTerm 191 ref appTerm 15307 def appTerm 15308 def refl 15309 def nil 1003 ref 14440 remove cons 1227 ref cons 15310 def nil cons cons 6617 ref subst 6620 ref nil 1003 ref 14443 remove cons 1233 ref cons 15311 def nil cons cons 6617 ref subst 6626 ref nil 1003 ref 14446 remove cons 12079 ref cons 15312 def nil cons cons 6617 ref subst 42 ref 180 ref 69 ref appTerm 191 ref appTerm 15313 def appTerm 15314 def refl 15315 def nil 9353 ref 1240 ref cons 15316 def nil cons cons 6617 ref subst 42 ref 6244 remove appTerm 15317 def refl 15318 def 1131 ref 14585 ref appThm 1266 ref appThm 11467 remove 4399 ref subst 15319 def trans appThm nil 150 ref 6599 remove cons nil cons nil cons cons 6632 ref subst 15320 def trans trans appThm nil 150 ref 15313 remove nil cons cons nil cons nil cons cons 6632 ref subst 15321 def trans trans appThm 6633 ref trans trans appThm 6634 ref trans trans appThm nil 150 ref 15307 remove nil cons cons nil cons nil cons cons 6632 ref subst 15322 def trans trans 15323 def appThm 1507 ref trans 15324 def sym 154 ref eqMp 15325 def nil 399 ref 15293 ref nil cons cons 15326 def 400 ref 41 ref 15300 ref appTerm 15303 ref appTerm 15327 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 15300 remove nil cons 15328 def cons 15305 remove cons nil cons cons 15329 def 416 ref subst 15329 remove 467 ref subst nil 435 ref 15298 ref nil cons cons 437 ref 15299 ref nil cons 15330 def cons nil cons cons nil cons cons 15331 def 451 ref subst 15331 remove 515 ref subst 165 ref 620 ref 1131 ref 15298 remove assume 15332 def appThm 1266 ref appThm appThm appThm 165 ref 4701 ref 15332 ref appThm 14303 ref refl 15333 def appThm appThm 1508 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 15332 remove appThm appThm appThm 15334 def appThm appThm appThm 620 ref 13814 ref 15334 remove appThm appThm appThm appThm appThm sym nil 399 ref 15330 remove cons 400 ref 41 ref 77 ref 180 ref 15297 ref appTerm 191 ref appTerm appTerm appTerm 41 ref 698 ref 15297 ref appTerm 14303 ref appTerm appTerm 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15297 remove appTerm appTerm appTerm 15335 def appTerm appTerm appTerm 77 ref 13746 ref 15335 remove appTerm appTerm appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 459 ref subst "iq" 14 ref var 15336 def 41 ref 15299 remove appTerm 41 ref 77 ref 180 ref 187 ref 13043 ref 15336 ref varTerm 15337 def appTerm 15338 def appTerm 15339 def 15296 ref appTerm 15340 def appTerm 191 ref appTerm appTerm appTerm 41 ref 698 ref 15340 ref appTerm 14303 ref appTerm appTerm 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15340 remove appTerm appTerm appTerm 15341 def appTerm appTerm appTerm 77 ref 13746 ref 15341 remove appTerm appTerm appTerm appTerm appTerm appTerm 15342 def absTerm 15343 def 15295 ref appTerm 15344 def betaConv nil 160 ref 15343 ref nil cons cons 15345 def nil cons nil cons cons 164 ref subst 15336 ref nil 150 ref 15342 remove nil cons cons nil cons nil cons cons 155 ref subst "ir" 14 ref var 15346 def 41 ref 4349 ref 15346 ref varTerm 15347 def appTerm 12928 ref appTerm 15348 def appTerm 15349 def 41 ref 77 ref 180 ref 15339 ref 15347 ref appTerm 15350 def appTerm 191 ref appTerm appTerm 15351 def appTerm 15352 def 41 ref 698 ref 15350 ref appTerm 15353 def 14303 ref appTerm 15354 def appTerm 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15350 ref appTerm appTerm appTerm 15355 def appTerm 15356 def appTerm appTerm 77 ref 13746 ref 15355 remove appTerm appTerm 15357 def appTerm 15358 def appTerm 15359 def appTerm 15360 def appTerm 15361 def absTerm 15362 def 15296 ref appTerm 15363 def betaConv nil 160 ref 15362 ref nil cons cons 15364 def nil cons nil cons cons 164 ref subst 15346 ref nil 150 ref 15361 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 15348 ref nil cons 15365 def cons 15366 def 400 ref 15360 remove nil cons 15367 def cons nil cons cons nil cons cons 15368 def 416 ref subst 15368 remove 467 ref subst nil 399 ref 15351 ref nil cons 15369 def cons 15370 def 400 ref 15359 remove nil cons 15371 def cons nil cons cons nil cons cons 15372 def 416 ref subst 15372 remove 467 ref subst nil 399 ref 15354 ref nil cons 15373 def cons 400 ref 15358 ref nil cons 15374 def cons nil cons 15375 def cons nil cons cons 15376 def 416 ref subst 15376 remove 467 ref subst 6060 remove 12928 ref appTerm 15377 def betaConv 6063 remove nil 6064 remove 400 ref 15377 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6065 remove 15292 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 1003 ref 17 ref 1116 ref 129 ref 698 ref 13043 ref 1011 ref appTerm 15378 def appTerm 13043 ref 1117 ref appTerm 15379 def appTerm 15380 def appTerm 15381 def 14554 remove 4555 ref appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons 400 ref 698 ref 15337 ref appTerm 15382 def 14295 ref appTerm 15383 def nil cons 15384 def cons nil cons 15385 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 1003 ref 603 ref 1116 ref 439 ref 4701 ref 3238 ref 1223 ref 1229 ref 1235 ref 12506 ref 1243 ref 14585 remove appThm 15386 def appThm appThm appThm appThm 15387 def appThm 15388 def 1703 ref appThm appThm 15388 ref 1117 ref refl 15389 def appThm appThm appThm 1508 ref 15323 remove appThm 15390 def 4555 ref refl 15391 def appThm nil 150 ref 4555 ref nil cons cons nil cons nil cons cons 1541 ref subst trans appThm absThm appThm absThm appThm appThm 15383 remove refl 15392 def appThm sym 165 ref 603 ref 1003 ref 603 ref 1116 ref 439 ref 4701 ref 3238 ref 1223 ref 1229 ref 1235 ref 12506 ref 1243 ref 14584 remove appThm 15393 def appThm appThm appThm appThm appThm 15394 def 1703 ref appThm appThm 15394 ref 15389 ref appThm appThm appThm 15391 remove appThm absThm appThm absThm appThm appThm 15392 remove appThm sym nil 399 ref 17 ref 1003 ref 17 ref 1116 ref 15381 remove 4555 ref appTerm 15395 def absTerm appTerm absTerm appTerm 15396 def nil cons 15397 def cons 15385 remove cons nil cons cons 15398 def 416 ref subst 15398 remove 467 ref subst nil 1116 ref 14363 ref cons 15399 def 1003 ref 15337 ref nil cons 15400 def cons 15401 def nil cons 15402 def cons nil cons cons 1116 ref 129 ref 4555 ref appTerm 15403 def 15380 remove appTerm 15404 def absTerm 15405 def 1117 ref appTerm 15406 def betaConv 1003 ref 17 ref 15405 ref appTerm 15407 def absTerm 15408 def 1011 ref appTerm 15409 def betaConv 603 ref 1003 ref 603 ref 1116 ref 15404 remove assume sym 15395 remove assume sym deductAntisym absThm appThm absThm appThm 15396 remove assume eqMp nil 399 ref 17 ref 15408 ref appTerm nil cons cons 400 ref 15409 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15408 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15407 remove nil cons cons 400 ref 15406 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15405 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst sym 1003 ref 42 ref 698 ref 15338 ref appTerm 15410 def 1011 ref appTerm appTerm 15125 ref appTerm absTerm 15411 def 15350 ref appTerm betaConv sym 625 ref nil 1003 ref 15347 ref nil cons 15412 def cons 15413 def 1006 ref 15338 ref nil cons cons nil cons 15414 def cons nil cons cons 15415 def 6133 ref subst appThm nil 150 ref 15373 ref cons nil cons nil cons cons 155 ref subst 15354 remove assume 15416 def eqMp appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 15411 ref nil cons cons 475 ref 15350 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 15411 remove appTerm nil cons cons 400 ref 15410 ref 14303 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 15150 ref 15414 ref cons nil cons cons 4776 ref subst eqMp eqMp eqMp nil 435 ref 15397 remove cons 437 ref 15384 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 399 ref 15384 remove cons 15375 ref cons nil cons cons 459 ref subst 165 ref nil 14350 ref 1006 ref 15400 ref cons nil cons 15417 def cons nil cons cons 15418 def 1003 ref 129 ref 1010 remove 1286 ref appTerm appTerm 1486 ref 6233 remove appTerm 1012 ref appTerm appTerm absTerm 15419 def 1011 ref appTerm 15420 def betaConv 1006 ref 17 ref 15419 ref appTerm 15421 def absTerm 15422 def 1009 ref appTerm 15423 def betaConv nil 17 ref 15422 ref appTerm 15424 def axiom nil 399 ref 15424 remove nil cons cons 400 ref 15423 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15422 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15421 remove nil cons cons 400 ref 15420 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15419 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 15425 def subst appThm 15358 ref refl appThm sym nil 399 ref 1486 ref 180 ref 15337 ref appTerm 15426 def 14295 ref appTerm 15427 def appTerm 15382 ref 14287 ref appTerm 15428 def appTerm nil cons 15429 def cons 15375 ref cons nil cons cons 15430 def 416 ref subst 15430 remove 467 ref subst nil 15370 ref 400 ref 41 ref 15428 ref appTerm 15431 def 15358 remove appTerm 15432 def nil cons 15433 def cons nil cons 15434 def cons nil cons cons 15435 def 459 ref subst nil 399 ref 77 ref 180 ref 15347 ref appTerm 15436 def 191 ref appTerm 15437 def appTerm nil cons 15438 def cons 15439 def 400 ref 15352 ref 15432 ref appTerm nil cons 15440 def cons nil cons 15441 def cons nil cons cons 15442 def 416 ref subst 15442 remove 467 ref subst 15435 ref 416 ref subst 15435 remove 467 ref subst 6237 ref 15347 ref appTerm 15443 def betaConv 6240 ref nil 6241 ref 400 ref 15443 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6242 ref 475 ref 15412 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 15444 def nil 399 ref 1486 ref 15437 ref appTerm 167 ref 1003 ref 15436 ref 1286 ref appTerm absTerm 15445 def appTerm 15446 def appTerm nil cons cons 15447 def 15434 ref cons nil cons cons 459 ref subst proveHyp 165 ref 1508 ref nil 15439 ref 400 ref 129 ref 15437 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 15437 ref nil cons 15448 def cons 15449 def nil cons nil cons cons 1932 ref subst eqMp appThm 15446 ref refl appThm nil 150 ref 15446 ref nil cons cons nil cons nil cons cons 1541 ref subst trans appThm 15450 def 15432 ref refl appThm sym nil 160 ref "irs" 14 ref var 15451 def 41 ref 15445 ref 15451 ref varTerm 15452 def appTerm 15453 def appTerm 15454 def 15432 ref appTerm 15455 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 15451 ref nil 150 ref 15455 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 15453 ref nil cons 15456 def cons 15457 def 15434 ref cons nil cons cons 15458 def 416 ref subst 15458 remove 467 ref subst 15453 ref betaConv 15453 remove assume eqMp 15459 def nil 399 ref 15436 remove 1285 ref 15452 ref appTerm 15460 def appTerm 15461 def nil cons 15462 def cons 15463 def 15434 remove cons nil cons cons 15464 def 459 ref subst proveHyp 15464 ref 416 ref subst 15464 remove 467 ref subst 129 ref "_50892" 14 ref var 15465 def 15431 ref 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15339 ref 15465 remove varTerm appTerm appTerm appTerm appTerm 15466 def appTerm appTerm appTerm 77 ref 13746 ref 15466 remove appTerm appTerm appTerm appTerm absTerm 15467 def 15347 ref appTerm 15468 def appTerm refl 15467 ref 15460 ref appTerm betaConv appThm 439 ref 15468 remove betaConv appThm 15431 ref 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15339 ref 15460 ref appTerm 15469 def appTerm appTerm appTerm 15470 def appTerm 15471 def appTerm appTerm 77 ref 13746 ref 15470 remove appTerm appTerm 15472 def appTerm appTerm refl appThm trans 15467 remove refl 15461 remove assume 15473 def appThm eqMp sym 15431 ref refl 15474 def 1508 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 15339 ref refl nil 1006 ref 15452 ref nil cons 15475 def cons nil cons 15476 def nil cons cons 4539 ref subst appThm appThm appThm appThm 15477 def appThm 15478 def appThm appThm 620 ref 13814 ref 15477 remove appThm 15479 def appThm appThm appThm sym nil 399 ref 15428 ref nil cons 15480 def cons 400 ref 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15339 ref 187 ref 15452 ref appTerm 192 ref appTerm appTerm appTerm appTerm appTerm 15481 def appTerm 15482 def appTerm 15483 def appTerm 77 ref 13746 ref 15481 ref appTerm 15484 def appTerm appTerm 15485 def nil cons 15486 def cons nil cons 15487 def cons nil cons cons 15488 def 416 ref subst 15488 remove 467 ref subst 14310 ref 15337 ref appTerm 15489 def betaConv 14316 ref nil 14317 ref 400 ref 15489 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14318 ref 475 ref 15400 remove cons nil cons 15490 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 4349 ref 15337 ref appTerm 15491 def 14295 ref appTerm 15492 def appTerm 41 ref 15382 ref 13586 ref appTerm 15493 def appTerm 42 ref 17 ref 707 ref 14209 ref 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15339 ref 7329 ref appTerm appTerm appTerm appTerm 15494 def appTerm appTerm appTerm 13746 ref 15494 ref appTerm appTerm appTerm 129 ref 585 ref 15494 remove appTerm appTerm 14211 ref appTerm appTerm appTerm absTerm 15495 def appTerm 15496 def appTerm 42 ref 13720 ref 713 ref 12941 ref 2714 ref 13043 ref 1285 ref 15337 ref appTerm 15497 def appTerm 15498 def appTerm appTerm appTerm 15499 def appTerm appTerm 42 ref 77 ref 13746 ref 15499 ref appTerm appTerm appTerm 42 ref 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 15499 remove appTerm 13137 ref appTerm appTerm 192 ref appTerm 15500 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 15500 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 4370 ref 738 ref 15497 remove appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm appTerm 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 14216 ref 15498 remove appTerm appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 15337 ref appTerm appTerm appTerm appTerm 15501 def appTerm 15502 def appTerm 15503 def appTerm 15504 def nil cons cons 15487 ref cons nil cons cons 459 ref subst proveHyp 15418 remove 8499 ref subst nil 150 ref 15480 ref cons nil cons nil cons cons 155 ref subst 15428 remove assume eqMp 15505 def trans sym 154 ref eqMp nil 399 ref 15492 ref nil cons cons 15506 def 400 ref 41 ref 15503 ref appTerm 15485 ref appTerm 15507 def nil cons cons nil cons 15508 def cons nil cons cons 467 ref subst proveHyp 1003 ref 42 ref 15382 remove 1011 ref appTerm appTerm 14354 ref appTerm absTerm 15509 def 14287 ref appTerm betaConv sym 625 ref 15505 remove appThm 14324 remove refl appThm nil 150 ref 14365 ref cons nil cons nil cons cons 633 ref subst trans sym 14368 ref eqMp eqMp 162 ref 160 ref 15509 ref nil cons cons 14320 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 15509 remove appTerm nil cons cons 400 ref 15493 ref nil cons 15510 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14366 ref 15417 ref cons nil cons cons 4776 ref subst eqMp nil 399 ref 15510 ref cons 15511 def 400 ref 41 ref 15502 ref appTerm 15485 ref appTerm 15512 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 15502 ref nil cons 15513 def cons 15514 def 15487 ref cons nil cons cons 15515 def 416 ref subst 15515 remove 467 ref subst nil 435 ref 15496 remove nil cons 15516 def cons 437 ref 15501 remove nil cons cons nil cons cons nil cons cons 451 ref subst 15517 def 15495 ref 15452 ref appTerm 15518 def betaConv nil 399 ref 15516 remove cons 400 ref 15518 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 15495 remove nil cons cons 475 ref 15475 ref cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 15519 def nil 399 ref 41 ref 4349 ref 15452 ref appTerm 11919 ref appTerm 15520 def appTerm 42 ref 42 ref 15483 ref appTerm 15484 ref appTerm 15521 def appTerm 129 ref 585 ref 15481 remove appTerm appTerm 180 ref 15452 remove appTerm 11910 ref appTerm appTerm 15522 def appTerm 15523 def appTerm 15524 def nil cons cons 15525 def 15487 ref cons nil cons cons 459 ref subst proveHyp nil 12071 ref 15476 remove cons nil cons cons 14967 remove subst sym 4349 ref 15460 ref appTerm 15526 def refl nil 12073 ref nil cons cons 15527 def 14974 ref subst 15528 def 1223 ref nil 12075 ref nil cons cons 15529 def 14974 ref subst 15530 def 1229 ref nil 12077 ref nil cons cons 15531 def 14974 ref subst 15532 def 1235 ref 12081 ref 14974 ref subst 15533 def 12506 ref nil 12065 ref nil cons cons 15534 def 14974 ref subst 15535 def 15393 remove trans appThm trans appThm trans appThm trans appThm trans 15536 def appThm nil 150 ref 15526 remove 12928 ref appTerm 15537 def nil cons cons nil cons nil cons cons 155 ref subst 129 ref "_51034" 14 ref var 15538 def 4349 ref 15538 remove varTerm appTerm 12928 ref appTerm absTerm 15539 def 15347 ref appTerm 15540 def appTerm refl 15539 ref 15460 ref appTerm betaConv appThm 439 ref 15540 remove betaConv appThm 15537 remove refl appThm trans 15539 remove refl 15473 ref appThm eqMp 15348 remove assume eqMp eqMp trans sym 154 ref eqMp eqMp 15541 def nil 399 ref 15520 ref nil cons 15542 def cons 15543 def 400 ref 41 ref 15523 ref appTerm 15485 ref appTerm 15544 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 15523 ref nil cons 15545 def cons 15546 def 15487 remove cons nil cons cons 15547 def 416 ref subst 15547 remove 467 ref subst nil 435 ref 15521 remove nil cons cons 437 ref 15522 remove nil cons cons nil cons cons nil cons cons 451 ref subst 15548 def nil 435 ref 15483 remove nil cons 15549 def cons 437 ref 15484 ref nil cons 15550 def cons nil cons cons nil cons cons 15551 def 451 ref subst 15552 def 15551 remove 515 ref subst 15553 def 1508 ref 620 ref nil 399 ref 15549 remove cons 400 ref 129 ref 15482 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 15482 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp 15554 def appThm 1507 ref trans appThm 620 ref nil 150 ref 15550 remove cons nil cons nil cons cons 155 ref subst 15484 remove assume eqMp 15555 def appThm 1535 ref trans appThm 11431 remove trans sym 154 ref eqMp proveHyp proveHyp proveHyp eqMp nil 435 ref 15545 ref cons 15556 def 437 ref 15486 ref cons nil cons 15557 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 15520 remove appTerm 15544 remove appTerm nil cons cons 400 ref 41 ref 15524 remove appTerm 15485 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 15486 remove cons 15558 def 400 ref 15545 ref cons 15543 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp proveHyp eqMp nil 435 ref 15513 ref cons 15559 def 15557 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 15493 ref appTerm 15512 remove appTerm nil cons cons 15508 remove cons nil cons cons 459 ref subst proveHyp nil 15558 ref 400 ref 15513 ref cons 15511 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp nil 399 ref 42 ref 15492 remove appTerm 15507 remove appTerm nil cons cons 400 ref 41 ref 15504 remove appTerm 15485 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 15558 remove 400 ref 15503 remove nil cons 15560 def cons 15506 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp nil 435 ref 15480 ref cons 15557 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 435 ref 15462 remove cons 15561 def 437 ref 15433 remove cons nil cons 15562 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 15456 remove cons 15563 def 15562 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 15445 ref 689 ref appTerm appTerm 15564 def 15432 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 15446 remove appTerm 15565 def 15432 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15445 remove nil cons cons 15566 def 15562 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 15369 remove cons 15567 def 15562 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 15438 ref cons 15568 def 437 ref 15440 ref cons nil cons 15569 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 15448 ref cons 15570 def 15441 remove cons nil cons cons 15571 def 416 ref subst 15571 remove 467 ref subst 129 ref "_50604" 14 ref var 15572 def 41 ref 77 ref 180 ref 15339 ref 15572 remove varTerm appTerm 15573 def appTerm 191 ref appTerm appTerm appTerm 15431 ref 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15573 remove appTerm appTerm appTerm 15574 def appTerm appTerm appTerm 77 ref 13746 ref 15574 remove appTerm appTerm appTerm appTerm appTerm absTerm 15575 def 15347 ref appTerm 15576 def appTerm refl 15575 ref 191 ref appTerm betaConv appThm 439 ref 15576 remove betaConv appThm 41 ref 77 ref 180 ref 15339 ref 191 ref appTerm 15577 def appTerm 191 ref appTerm appTerm appTerm 15431 ref 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15577 ref appTerm appTerm appTerm 15578 def appTerm 15579 def appTerm appTerm 77 ref 13746 ref 15578 remove appTerm appTerm 15580 def appTerm appTerm appTerm refl appThm trans 15575 remove refl 15437 ref assume 15581 def appThm eqMp sym 165 ref 620 ref 1131 ref nil 15414 ref nil cons cons 1366 ref subst 15582 def appThm 1266 ref appThm nil 15401 remove 14398 ref cons nil cons cons 1003 ref 129 ref 3228 ref 191 ref appTerm appTerm 6053 ref 2184 ref appTerm appTerm absTerm 15583 def 1011 ref appTerm 15584 def betaConv 1006 ref 17 ref 15583 ref appTerm 15585 def absTerm 15586 def 1009 ref appTerm 15587 def betaConv nil 17 ref 15586 ref appTerm 15588 def axiom nil 399 ref 15588 remove nil cons cons 400 ref 15587 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15586 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15585 remove nil cons cons 400 ref 15584 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15583 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst 15589 def trans appThm appThm 15474 ref 1508 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 15582 ref appThm appThm appThm 15590 def appThm 15591 def appThm appThm 620 ref 13814 ref 15590 remove appThm appThm 15592 def appThm appThm appThm sym 165 ref 620 ref 15390 ref 15426 ref 191 ref appTerm 15593 def refl appThm nil 150 ref 15593 ref nil cons 15594 def cons nil cons nil cons cons 15595 def 1541 ref subst trans 15596 def appThm appThm 15474 ref 1508 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 15388 ref 15337 ref refl 15597 def appThm appThm appThm appThm 15598 def appThm appThm appThm 620 ref 13814 ref 15598 remove appThm appThm appThm appThm appThm sym 41 ref 77 ref 15593 ref appTerm 15599 def appTerm refl 15474 remove 1508 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 15394 remove 15597 ref appThm appThm appThm appThm 15600 def appThm appThm appThm 620 ref 13814 ref 15600 remove appThm appThm appThm appThm appThm sym nil 399 ref 15599 remove nil cons 15601 def cons 15602 def 400 ref 15431 remove 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15338 ref appTerm appTerm appTerm 15603 def appTerm 15604 def appTerm appTerm 77 ref 13746 ref 15603 remove appTerm appTerm 15605 def appTerm appTerm 15606 def nil cons 15607 def cons nil cons 15608 def cons nil cons cons 15609 def 416 ref subst 15609 remove 467 ref subst 6237 ref 15337 ref appTerm 15610 def betaConv 6240 ref nil 6241 ref 400 ref 15610 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6242 ref 15490 ref cons nil cons cons 469 ref subst eqMp eqMp 15611 def nil 399 ref 1486 ref 15593 ref appTerm 167 ref 1003 ref 15426 ref 1286 ref appTerm absTerm 15612 def appTerm 15613 def appTerm nil cons cons 15614 def 15608 ref cons nil cons cons 459 ref subst proveHyp 165 ref 1508 ref nil 15602 ref 400 ref 129 ref 15593 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 15594 remove cons nil cons nil cons cons 1932 ref subst eqMp appThm 15613 ref refl appThm nil 150 ref 15613 ref nil cons cons nil cons nil cons cons 1541 ref subst trans appThm 15615 def 15606 ref refl appThm sym nil 160 ref "iqs" 14 ref var 15616 def 41 ref 15612 ref 15616 ref varTerm 15617 def appTerm 15618 def appTerm 15619 def 15606 ref appTerm 15620 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 15616 ref nil 150 ref 15620 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 15618 ref nil cons 15621 def cons 15622 def 15608 ref cons nil cons cons 15623 def 416 ref subst 15623 remove 467 ref subst 15618 ref betaConv 15618 remove assume eqMp 15624 def nil 399 ref 15426 remove 1285 ref 15617 ref appTerm 15625 def appTerm 15626 def nil cons 15627 def cons 15628 def 15608 remove cons nil cons cons 15629 def 459 ref subst proveHyp 15629 ref 416 ref subst 15629 remove 467 ref subst 129 ref "_50748" 14 ref var 15630 def 41 ref 698 ref 15630 remove varTerm 15631 def appTerm 14287 ref appTerm appTerm 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 13043 ref 15631 remove appTerm appTerm appTerm appTerm 15632 def appTerm appTerm appTerm 77 ref 13746 ref 15632 remove appTerm appTerm appTerm appTerm absTerm 15633 def 15337 ref appTerm 15634 def appTerm refl 15633 ref 15625 ref appTerm betaConv appThm 439 ref 15634 remove betaConv appThm 41 ref 698 ref 15625 ref appTerm 14287 ref appTerm appTerm 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 13043 ref 15625 ref appTerm 15635 def appTerm appTerm appTerm 15636 def appTerm 15637 def appTerm appTerm 77 ref 13746 ref 15636 ref appTerm 15638 def appTerm 15639 def appTerm 15640 def appTerm refl appThm trans 15633 remove refl 15626 remove assume 15641 def appThm eqMp sym 165 ref nil 14350 ref 1006 ref 15617 ref nil cons 15642 def cons nil cons 15643 def cons nil cons cons 15644 def 1003 ref 129 ref 698 ref 1305 remove appTerm 15645 def 1011 ref appTerm 15646 def appTerm 4460 ref appTerm 15647 def absTerm 15648 def 1011 ref appTerm 15649 def betaConv 1006 ref 17 ref 15648 ref appTerm 15650 def absTerm 15651 def 1009 ref appTerm 15652 def betaConv nil 17 ref 15651 ref appTerm 15653 def axiom 15654 def nil 399 ref 15653 remove nil cons cons 400 ref 15652 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15651 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15650 remove nil cons cons 400 ref 15649 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15648 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 15655 def subst appThm 15640 ref refl appThm sym nil 399 ref 4349 ref 15617 ref appTerm 15656 def 14287 ref appTerm 15657 def nil cons 15658 def cons 400 ref 15640 ref nil cons 15659 def cons nil cons 15660 def cons nil cons cons 15661 def 416 ref subst 15661 remove 467 ref subst 14310 remove 15617 ref appTerm 15662 def betaConv 14316 ref nil 14317 remove 400 ref 15662 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14318 remove 475 ref 15642 ref cons nil cons 15663 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 15656 ref 14295 ref appTerm 15664 def appTerm 41 ref 698 ref 15617 ref appTerm 15665 def 13586 ref appTerm 15666 def appTerm 42 ref 17 ref 707 ref 14209 ref 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 187 ref 13043 ref 15617 ref appTerm appTerm 7329 ref appTerm appTerm appTerm appTerm 15667 def appTerm appTerm appTerm 13746 ref 15667 ref appTerm appTerm appTerm 129 ref 585 ref 15667 remove appTerm appTerm 14211 ref appTerm appTerm appTerm absTerm appTerm 15668 def appTerm 42 ref 15637 ref appTerm 42 ref 15639 ref appTerm 42 ref 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 15636 remove appTerm 13137 ref appTerm appTerm 192 ref appTerm 15669 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 15669 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 4370 ref 738 ref 15625 ref appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm appTerm 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 14216 ref 15635 ref appTerm appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 15617 ref appTerm appTerm 15670 def appTerm 15671 def appTerm 15672 def appTerm 15673 def appTerm 15674 def appTerm 15675 def nil cons cons 15660 ref cons nil cons cons 459 ref subst proveHyp 1003 ref 42 ref 15656 remove 1011 ref appTerm appTerm 4362 ref 14295 ref appTerm appTerm absTerm 15676 def 15625 ref appTerm betaConv sym 625 ref nil 1003 ref 15642 remove cons nil cons nil cons cons 7678 ref subst appThm 15644 remove 14962 ref 1011 ref appTerm 15677 def betaConv 14964 ref 1009 ref appTerm 15678 def betaConv 14966 remove nil 399 ref 14965 remove nil cons cons 400 ref 15678 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14964 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14963 remove nil cons cons 400 ref 15677 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 14962 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 15679 def subst nil 150 ref 15658 ref cons nil cons nil cons cons 155 ref subst 15657 remove assume eqMp trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 15676 ref nil cons cons 475 ref 15625 ref nil cons 15680 def cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 15676 remove appTerm nil cons cons 400 ref 15664 ref nil cons 15681 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 15399 remove 15643 ref cons nil cons cons 14927 ref subst eqMp 15682 def nil 399 ref 15681 remove cons 15683 def 400 ref 41 ref 15674 ref appTerm 15640 ref appTerm 15684 def nil cons cons nil cons 15685 def cons nil cons cons 467 ref subst proveHyp 1003 ref 42 ref 15665 ref 1011 ref appTerm appTerm 14354 ref appTerm absTerm 15686 def 14295 ref appTerm betaConv sym 42 ref 15665 remove 14295 ref appTerm 15687 def appTerm refl 14362 ref appThm nil 150 ref 15687 remove nil cons 15688 def cons nil cons nil cons cons 1105 ref subst trans sym 15682 remove nil 15683 ref 400 ref 15688 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1003 ref 14363 remove cons 15689 def 15643 ref cons nil cons cons 6085 remove subst eqMp eqMp eqMp 162 ref 160 ref 15686 ref nil cons cons 14364 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 15686 remove appTerm nil cons cons 400 ref 15666 ref nil cons 15690 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14366 ref 15643 ref cons nil cons cons 4776 ref subst eqMp nil 399 ref 15690 ref cons 15691 def 400 ref 41 ref 15673 ref appTerm 15640 ref appTerm 15692 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 15673 ref nil cons 15693 def cons 15694 def 15660 remove cons nil cons cons 15695 def 416 ref subst 15695 remove 467 ref subst nil 435 ref 15668 remove nil cons cons 437 ref 15672 remove nil cons cons nil cons cons nil cons cons 515 ref subst 15696 def nil 435 ref 15637 ref nil cons 15697 def cons 437 ref 15671 remove nil cons cons nil cons cons nil cons cons 15698 def 451 ref subst 15699 def 15698 remove 515 ref subst 15700 def nil 435 ref 15639 ref nil cons 15701 def cons 437 ref 15670 remove nil cons cons nil cons cons nil cons cons 451 ref subst 15702 def 1508 ref 620 ref nil 150 ref 15697 remove cons nil cons nil cons cons 155 ref subst 15637 ref assume eqMp 15703 def appThm 1535 ref trans appThm 620 ref nil 399 ref 15701 remove cons 400 ref 129 ref 15638 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 15638 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp appThm 1507 ref trans 15704 def appThm 11371 ref trans sym 154 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 15693 ref cons 15705 def 437 ref 15659 ref cons nil cons 15706 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 15666 remove appTerm 15692 remove appTerm nil cons cons 15685 remove cons nil cons cons 459 ref subst proveHyp nil 1559 ref 15659 remove cons 15707 def 400 ref 15693 ref cons 15691 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp nil 399 ref 42 ref 15664 remove appTerm 15684 remove appTerm nil cons cons 400 ref 41 ref 15675 remove appTerm 15640 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 15707 remove 400 ref 15674 remove nil cons 15708 def cons 15683 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp nil 435 ref 15658 remove cons 15706 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 435 ref 15627 remove cons 15709 def 437 ref 15607 remove cons nil cons 15710 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 15621 remove cons 15711 def 15710 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 15612 ref 689 ref appTerm appTerm 15712 def 15606 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 15613 remove appTerm 15713 def 15606 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15612 remove nil cons cons 15714 def 15710 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 15601 remove cons 15715 def 15710 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 15449 ref 15569 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 15437 ref appTerm 15716 def betaConv 1970 ref nil 1971 ref 400 ref 15716 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 15448 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 15717 def nil 15449 ref 437 ref 15438 remove cons 15718 def 1553 ref 15440 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp nil 399 ref 15427 ref nil cons 15719 def cons 15375 remove cons nil cons cons 15720 def 416 ref subst 15720 remove 467 ref subst 129 ref "_50310" 14 ref var 15721 def 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 187 ref 13043 ref 15721 remove varTerm appTerm appTerm 15347 ref appTerm appTerm appTerm appTerm 15722 def appTerm appTerm appTerm 77 ref 13746 ref 15722 remove appTerm appTerm appTerm absTerm 15723 def 15337 ref appTerm 15724 def appTerm refl 15723 ref 14295 ref appTerm betaConv appThm 439 ref 15724 remove betaConv appThm 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 187 ref 14303 ref appTerm 15725 def 15347 ref appTerm 15726 def appTerm appTerm appTerm 15727 def appTerm appTerm appTerm 77 ref 13746 ref 15727 remove appTerm appTerm appTerm 15728 def refl 15729 def appThm trans 15723 remove refl 15427 remove assume 15730 def appThm eqMp sym 129 ref "_50456" 14 ref var 15731 def 698 ref 187 ref 13043 ref 15731 remove varTerm appTerm appTerm 15347 ref appTerm appTerm 14303 ref appTerm absTerm 15732 def 15337 ref appTerm 15733 def appTerm refl 15732 ref 14295 ref appTerm betaConv appThm 439 ref 15733 remove betaConv appThm 698 ref 15726 remove appTerm 14303 ref appTerm 15734 def refl appThm trans 15732 remove refl 15730 remove appThm eqMp 15416 remove eqMp nil 399 ref 15734 remove nil cons cons 400 ref 15728 remove nil cons 15735 def cons nil cons 15736 def cons nil cons cons 459 ref subst proveHyp 165 ref nil 15413 remove 1006 ref 15149 ref cons 15737 def nil cons 15738 def cons nil cons cons 1003 ref 129 ref 6032 remove 1009 ref appTerm appTerm 2184 ref appTerm absTerm 15739 def 1011 ref appTerm 15740 def betaConv 1006 ref 17 ref 15739 ref appTerm 15741 def absTerm 15742 def 1009 ref appTerm 15743 def betaConv nil 17 ref 15742 ref appTerm 15744 def axiom nil 399 ref 15744 remove nil cons cons 400 ref 15743 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15742 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15741 remove nil cons cons 400 ref 15740 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15739 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 15745 def subst appThm 15729 remove appThm sym nil 15570 ref 15736 remove cons nil cons cons 15746 def 416 ref subst 15746 remove 467 ref subst 129 ref "_50458" 14 ref var 15747 def 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15725 ref 15747 remove varTerm appTerm appTerm appTerm appTerm 15748 def appTerm appTerm appTerm 77 ref 13746 ref 15748 remove appTerm appTerm appTerm absTerm 15749 def 15347 ref appTerm 15750 def appTerm refl 15749 ref 191 ref appTerm betaConv appThm 439 ref 15750 remove betaConv appThm 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15725 ref 191 ref appTerm appTerm appTerm appTerm 15751 def appTerm appTerm appTerm 77 ref 13746 ref 15751 remove appTerm appTerm appTerm refl appThm trans 15749 remove refl 15581 ref appThm eqMp sym 1508 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref nil 15738 ref nil cons cons 1366 ref subst appThm appThm appThm 15752 def appThm nil 150 ref 14348 remove cons nil cons nil cons cons 155 ref subst 14309 remove 15011 remove eqMp eqMp 15753 def trans appThm 1535 ref trans appThm 620 ref 13814 ref 15752 remove appThm 15048 remove trans appThm 1507 ref trans appThm 11371 ref trans sym 154 ref eqMp eqMp eqMp nil 15449 ref 437 ref 15735 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 15719 remove cons 15754 def 437 ref 15374 ref cons nil cons 15755 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 15754 remove 437 ref 15480 remove cons 1553 ref 15374 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp eqMp nil 435 ref 15429 remove cons 15755 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 435 ref 15373 remove cons 15755 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 15567 ref 437 ref 15371 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 15365 remove cons 15756 def 437 ref 15367 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 15362 remove appTerm nil cons cons 400 ref 15363 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 15364 remove 475 ref 15296 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp absThm eqMp nil 399 ref 17 ref 15343 remove appTerm nil cons cons 400 ref 15344 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 15345 remove 475 ref 15295 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 435 ref 15328 ref cons 437 ref 15304 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 15293 remove appTerm 15757 def 15327 remove appTerm nil cons cons 400 ref 41 ref 15301 remove appTerm 15303 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 15304 remove cons 400 ref 15328 remove cons 15326 ref nil cons 15758 def cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 435 ref 15121 remove cons 14168 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 15116 ref nil cons cons 15759 def 400 ref 41 ref 15119 ref appTerm 15033 ref appTerm 15760 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 439 ref 14948 ref nil 1116 ref 15110 ref cons 15761 def 14036 ref cons nil cons cons 1169 ref subst 7837 ref nil 15761 ref 14039 ref cons nil cons cons 1169 ref subst 14040 ref nil 15761 ref 14041 ref cons nil cons cons 15762 def 1169 ref subst appThm trans appThm trans appThm appThm 15118 ref refl appThm appThm 620 ref 14948 ref 7837 ref 14040 ref 4544 ref 15135 ref 14295 ref refl 15763 def appThm appThm appThm appThm appThm appThm appThm sym 1131 ref 4544 ref nil 14350 ref 1006 ref 15137 ref cons nil cons 15764 def cons nil cons cons 15131 ref subst 15765 def appThm nil 1116 ref 15139 remove cons 15766 def 1003 ref 15137 remove cons 4159 ref cons 15767 def cons nil cons cons 2078 ref subst 1368 ref nil 1116 ref 15140 remove cons 15768 def 13638 ref 4159 ref cons 15769 def cons nil cons cons 2078 ref subst appThm 15770 def 15106 remove refl appThm trans trans appThm 15762 remove 2078 ref subst nil 15766 ref 15141 ref 1006 ref 14037 remove cons nil cons 15771 def cons 15772 def cons nil cons cons 2078 ref subst trans appThm nil 1003 ref 187 ref 12942 remove appTerm 15773 def 15091 ref appTerm nil cons cons 15774 def 15766 ref 1006 ref 187 ref 2714 ref 12917 ref appTerm 15775 def appTerm 15091 remove appTerm nil cons cons nil cons 15776 def cons cons nil cons cons 2889 ref subst nil 14038 ref 15768 remove 1006 ref 15775 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst 15777 def trans trans sym nil 15769 remove nil cons cons 1210 ref subst 15778 def eqMp 129 ref "_51038" 14 ref var 15779 def 41 ref 129 ref 13954 ref 713 ref 12941 ref 12941 ref 2714 ref 15107 ref appTerm appTerm 15780 def appTerm appTerm appTerm 15781 def appTerm 15118 ref appTerm 15782 def appTerm 15783 def 77 ref 13954 ref 713 ref 12941 ref 15779 remove varTerm appTerm appTerm appTerm appTerm appTerm absTerm 15784 def 2714 ref 15105 ref 14295 ref appTerm appTerm 15785 def appTerm 15786 def appTerm refl 15784 ref 15780 ref appTerm betaConv appThm 439 ref 15786 remove betaConv appThm 15783 remove 77 ref 15781 ref appTerm 15787 def appTerm refl appThm trans 15784 remove refl 180 ref 15785 remove appTerm 15780 remove appTerm assume appThm eqMp sym nil 399 ref 15782 ref nil cons 15788 def cons 400 ref 15787 remove nil cons 15789 def cons nil cons cons nil cons cons 15790 def 416 ref subst 15790 remove 467 ref subst 129 ref "_51040" 2 ref var 15791 def 77 ref 15791 remove varTerm appTerm absTerm 15792 def 15781 remove appTerm 15793 def appTerm refl 15792 ref 15118 ref appTerm betaConv appThm 439 ref 15793 remove betaConv appThm 77 ref 15118 remove appTerm refl appThm trans 15792 remove refl 15794 def 15782 remove assume appThm eqMp sym nil 160 ref 707 ref 129 ref 15117 remove appTerm 14334 ref appTerm 15795 def absTerm 15796 def nil cons cons 15797 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 15795 remove nil cons cons nil cons nil cons cons 155 ref subst 439 ref nil 15761 remove 1003 ref 13970 ref nil cons 15798 def cons nil cons 15799 def cons nil cons cons 1116 ref 15403 ref 698 ref 1083 ref 12917 ref appTerm appTerm 1696 ref 12917 ref appTerm appTerm 15800 def appTerm 15801 def absTerm 15802 def 1117 ref appTerm 15803 def betaConv 1003 ref 17 ref 15802 ref appTerm 15804 def absTerm 15805 def 1011 ref appTerm 15806 def betaConv 603 ref 1003 ref 603 ref 1116 ref 15801 remove assume sym 129 ref 15800 remove appTerm 4555 ref appTerm assume sym deductAntisym absThm appThm absThm appThm 4712 remove 12917 ref appTerm 15807 def betaConv 4715 remove nil 4716 remove 400 ref 15807 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 4717 remove 13648 remove cons nil cons cons 469 ref subst eqMp eqMp eqMp nil 399 ref 17 ref 15805 ref appTerm nil cons cons 400 ref 15806 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15805 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15804 remove nil cons cons 400 ref 15803 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15802 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 15808 def subst appThm 14334 ref refl 15809 def appThm sym 129 ref 698 ref 187 ref 13970 remove appTerm 12917 ref appTerm appTerm 15810 def 187 ref 15107 ref appTerm 12917 ref appTerm appTerm appTerm refl 4701 ref nil 14055 ref 1003 ref 12921 ref nil cons 15811 def cons 15812 def 7647 ref cons cons nil cons cons 2078 ref subst 15813 def appThm 15814 def 14454 ref 15763 ref appThm appThm appThm sym 15810 ref refl 15815 def 1131 ref nil 13638 ref 1006 ref 15110 remove cons nil cons cons nil cons cons 1210 ref subst appThm 14464 ref 14295 ref appTerm refl appThm sym 180 ref 12941 ref 15107 remove appTerm 15816 def appTerm refl 15817 def 3238 ref 14499 remove 14500 remove 14501 remove 14502 remove 15133 remove trans trans trans trans appThm 15818 def 15763 ref appThm appThm sym 15817 remove 15765 remove nil 15766 remove 15141 remove 13635 ref cons 15819 def cons nil cons cons 1169 ref subst trans appThm nil 475 ref 15816 remove nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp appThm eqMp eqMp eqMp absThm eqMp 620 ref 14092 ref 14093 ref 14094 ref 13963 ref 1597 ref 707 ref 14095 ref 14096 ref 625 ref 15796 ref 708 ref appTerm 15820 def betaConv nil 399 ref 17 ref 15796 remove appTerm nil cons cons 400 ref 15820 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 15797 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp appThm 14081 ref appThm appThm appThm absThm appThm absThm appThm appThm appThm appThm sym 129 ref "_51042" 14 ref var 15821 def 77 ref 13955 ref 15821 remove varTerm appTerm appTerm absTerm 15822 def 14339 ref appTerm 15823 def appTerm refl 15822 ref 14287 ref appTerm betaConv appThm 439 ref 15823 remove betaConv appThm 77 ref 13955 ref 14287 ref appTerm appTerm refl appThm trans 15822 remove refl 14340 remove assume 15824 def appThm eqMp sym nil 14350 remove 13611 remove cons nil cons cons 4456 ref subst nil 13603 ref 14367 ref cons nil cons cons 1003 ref 4461 remove 15646 remove appTerm 15825 def absTerm 15826 def 1011 ref appTerm 15827 def betaConv 1006 ref 17 ref 15826 ref appTerm 15828 def absTerm 15829 def 1009 ref appTerm 15830 def betaConv 603 ref 1006 ref 603 ref 1003 ref 15825 remove assume sym 15647 remove assume sym deductAntisym absThm appThm absThm appThm 15654 remove eqMp nil 399 ref 17 ref 15829 ref appTerm nil cons cons 400 ref 15830 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15829 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15828 remove nil cons cons 400 ref 15827 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15826 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 15831 def subst 14362 remove trans trans sym 154 ref eqMp eqMp eqMp proveHyp eqMp eqMp nil 435 ref 15788 remove cons 437 ref 15789 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp proveHyp eqMp eqMp nil 399 ref 42 ref 15116 remove appTerm 15760 remove appTerm nil cons cons 400 ref 41 ref 15120 remove appTerm 15033 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 15049 ref cons 400 ref 15119 remove nil cons cons 15759 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp nil 435 ref 15101 remove cons 15832 def 437 ref 15049 remove cons nil cons 15833 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 15095 remove cons 15834 def 15833 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 15086 ref 689 ref appTerm appTerm 15835 def 15033 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 15087 remove appTerm 15836 def 15033 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15086 remove nil cons cons 15837 def 15833 remove cons nil cons cons 688 ref subst eqMp eqMp proveHyp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 14379 ref 437 ref 15037 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 14380 ref 15039 remove appTerm nil cons cons 400 ref 14381 ref 15034 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 15037 remove cons 14382 ref cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp eqMp nil 14383 ref 437 ref 15020 ref cons nil cons 15838 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 14385 ref 15838 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 14386 ref 15019 ref appTerm absTerm appTerm nil cons cons 400 ref 14387 ref 15019 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14388 ref 15838 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 14389 ref 15838 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 14390 ref 15021 remove cons nil cons cons 15839 def 416 ref subst 15839 remove 467 ref subst 15030 remove "_50028" 14 ref var 15840 def 4371 ref 13746 ref 713 ref 12941 ref 2714 ref 13043 ref 15840 remove varTerm appTerm appTerm appTerm appTerm 15841 def appTerm appTerm 77 ref 585 ref 15841 ref appTerm appTerm appTerm 77 ref 13954 ref 15841 remove appTerm appTerm appTerm absTerm 191 ref appTerm betaConv appThm 15031 remove 4371 ref 13746 ref 713 ref 12941 ref 2714 ref 13043 ref 191 ref appTerm 15842 def appTerm appTerm appTerm 15843 def appTerm appTerm 77 ref 585 ref 15843 ref appTerm appTerm appTerm 77 ref 13954 ref 15843 ref appTerm appTerm appTerm 15844 def refl appThm trans 15036 remove 14395 ref appThm eqMp sym 14194 ref nil 14392 ref 400 ref 15844 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 14393 ref 4386 ref 13814 ref 7837 ref 14040 ref 4544 ref 14400 ref appThm 3328 ref trans appThm appThm 15845 def appThm appThm 620 ref 14945 ref 15845 ref appThm appThm appThm 620 ref 14948 ref 15845 ref appThm appThm appThm appThm sym nil 14401 ref 400 ref 4371 ref 14185 ref appTerm 77 ref 585 ref 14183 ref appTerm appTerm 15846 def appTerm 77 ref 13954 ref 14183 ref appTerm appTerm 15847 def appTerm nil cons 15848 def cons nil cons cons nil cons cons 15849 def 416 ref subst 15849 remove 467 ref subst 14406 remove 515 ref subst 15850 def 4386 ref nil 150 ref 14405 remove cons nil cons nil cons cons 155 ref subst 14185 ref assume eqMp 15851 def appThm 15846 ref refl appThm 15847 ref refl appThm nil 1811 ref 15847 remove nil cons cons 1812 ref 15846 remove nil cons 15852 def cons nil cons cons nil cons cons 14951 ref subst trans sym 42 ref 13973 ref 14183 ref appTerm 15853 def appTerm 15854 def refl nil 150 ref 13551 remove cons nil cons nil cons cons 155 ref subst 13167 ref assume eqMp 15855 def appThm nil 150 ref 15853 remove nil cons cons nil cons nil cons cons 1105 ref subst trans sym 180 ref 14183 ref appTerm 15856 def refl nil 2073 ref 13641 ref 1006 ref 9727 ref nil cons 15857 def cons nil cons cons cons nil cons cons 1169 ref subst nil 14046 ref 1237 ref 7786 ref cons cons nil cons cons 1169 ref subst trans 7837 ref 4544 ref 13645 ref appThm 15858 def appThm trans appThm nil 1116 ref 2714 ref 12916 ref appTerm 15859 def nil cons cons 15860 def 14038 remove 7786 ref cons 15861 def cons nil cons cons 1192 ref subst trans sym 1131 ref nil 14041 ref nil cons cons 1210 ref subst appThm 15859 ref refl 15862 def appThm sym 129 ref "_50166" 14 ref var 15863 def 180 ref 2714 ref 15863 remove varTerm appTerm appTerm 15859 ref appTerm absTerm 15864 def 12917 ref appTerm 15865 def appTerm refl 15864 ref 12916 ref appTerm betaConv appThm 439 ref 15865 remove betaConv appThm 180 ref 15859 ref appTerm 15859 ref appTerm refl appThm trans 15864 remove refl 15055 ref appThm eqMp sym 15862 remove eqMp eqMp eqMp 129 ref "_50164" 14 ref var 15866 def 13973 ref 15866 remove varTerm appTerm absTerm 15867 def 14183 ref appTerm 15868 def appTerm refl 15867 ref 187 ref 187 ref 9727 ref appTerm 13137 ref appTerm 15869 def appTerm 192 ref appTerm 15870 def appTerm betaConv appThm 439 ref 15868 remove betaConv appThm 13973 ref 15870 ref appTerm 15871 def refl 15872 def appThm trans 15867 remove refl 15873 def 15856 remove 15870 remove appTerm assume appThm eqMp sym 14068 ref nil 14070 ref 400 ref 15871 remove nil cons 15874 def cons nil cons 15875 def cons nil cons cons 459 ref subst proveHyp 14073 ref 15872 remove appThm sym nil 14076 ref 15875 remove cons nil cons cons 15876 def 416 ref subst 15876 remove 467 ref subst nil 38 ref 15869 ref nil cons cons nil cons nil cons cons 14080 ref subst sym 13729 ref nil 13731 ref 400 ref 13656 ref 15869 remove appTerm 15877 def nil cons 15878 def cons nil cons 15879 def cons nil cons cons 459 ref subst proveHyp 13737 ref 15877 remove refl appThm sym nil 13740 ref 15879 remove cons nil cons cons 15880 def 416 ref subst 15880 remove 467 ref subst nil 38 ref 15857 remove cons nil cons nil cons cons 13744 ref subst sym 13806 ref 191 ref appTerm 15881 def betaConv nil 14192 ref 400 ref 15881 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 13807 ref 1276 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 9281 ref 12917 ref appTerm appTerm 42 ref 13720 ref 713 ref 2713 remove appTerm 15882 def appTerm appTerm 13746 ref 15882 remove appTerm appTerm appTerm nil cons cons 400 ref 13822 ref nil cons 15883 def cons nil cons 15884 def cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 14188 remove 9286 ref subst appThm 625 ref 13812 ref 7837 ref 2054 ref appThm 15885 def appThm appThm 13814 ref 15885 remove appThm appThm appThm nil 150 ref 42 ref 13822 ref appTerm 13845 ref appTerm nil cons 15886 def cons nil cons nil cons cons 614 ref subst trans appThm 13822 remove refl appThm sym nil 399 ref 15886 ref cons 15884 remove cons nil cons cons 15887 def 416 ref subst 15887 remove 467 ref subst nil 435 ref 15883 ref cons 437 ref 13845 remove nil cons cons nil cons cons nil cons cons 451 ref subst eqMp nil 435 ref 15886 remove cons 437 ref 15883 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14087 ref 437 ref 15878 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14088 ref 437 ref 15874 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 399 ref 15854 remove 13167 ref appTerm nil cons cons 400 ref 15852 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 38 ref 14183 ref nil cons cons nil cons nil cons cons 15888 def 38 ref 41 ref 14010 ref 13167 ref appTerm appTerm 636 ref appTerm absTerm 15889 def 47 ref appTerm 15890 def betaConv 37 ref 17 ref 38 ref 41 ref 14010 ref 13166 remove 75 ref appTerm 15891 def appTerm appTerm 636 ref appTerm absTerm appTerm absTerm 15892 def 4996 ref appTerm 15893 def betaConv 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 14010 ref 13165 remove 74 ref appTerm 75 ref appTerm 15894 def appTerm appTerm 636 remove appTerm absTerm appTerm absTerm appTerm absTerm 15895 def 4994 ref appTerm 15896 def betaConv 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 14010 ref 13164 remove 73 ref appTerm 74 ref appTerm 75 ref appTerm 15897 def appTerm appTerm 80 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 15898 def 262 ref appTerm 15899 def betaConv 32 ref 34 ref 15898 ref appTerm 15900 def absTerm 15901 def 72 ref appTerm 15902 def betaConv 31 ref 11 ref 15901 ref appTerm 15903 def absTerm 15904 def 71 ref appTerm 15905 def betaConv 30 ref 11 ref 15904 ref appTerm 15906 def absTerm 15907 def 70 ref appTerm 15908 def betaConv 29 ref 11 ref 15907 ref appTerm 15909 def absTerm 15910 def 69 ref appTerm 15911 def betaConv 28 ref 17 ref 15910 ref appTerm 15912 def absTerm 15913 def 68 ref appTerm 15914 def betaConv 27 ref 17 ref 15913 ref appTerm 15915 def absTerm 15916 def 67 ref appTerm 15917 def betaConv 26 ref 11 ref 15916 ref appTerm 15918 def absTerm 15919 def 66 ref appTerm 15920 def betaConv 25 ref 11 ref 15919 ref appTerm 15921 def absTerm 15922 def 65 ref appTerm 15923 def betaConv 24 ref 11 ref 15922 ref appTerm 15924 def absTerm 15925 def 64 ref appTerm 15926 def betaConv 23 ref 17 ref 15925 ref appTerm 15927 def absTerm 15928 def 63 ref appTerm 15929 def betaConv 22 ref 11 ref 15928 ref appTerm 15930 def absTerm 15931 def 62 ref appTerm 15932 def betaConv 21 ref 11 ref 15931 ref appTerm 15933 def absTerm 15934 def 61 ref appTerm 15935 def betaConv 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 14010 ref 13163 remove 60 ref appTerm 61 ref appTerm 62 ref appTerm 63 ref appTerm 64 ref appTerm 65 ref appTerm 66 ref appTerm 67 ref appTerm 68 ref appTerm 69 ref appTerm 70 ref appTerm 71 ref appTerm 72 ref appTerm 73 ref appTerm 74 ref appTerm 75 ref appTerm 15936 def appTerm appTerm 80 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 15937 def 238 ref appTerm 15938 def betaConv 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 14010 ref 13162 remove 59 ref appTerm 60 ref appTerm 61 ref appTerm 62 ref appTerm 63 ref appTerm 64 ref appTerm 65 ref appTerm 66 ref appTerm 67 ref appTerm 68 ref appTerm 69 ref appTerm 70 ref appTerm 71 ref appTerm 72 ref appTerm 73 ref appTerm 74 ref appTerm 75 ref appTerm 15939 def appTerm appTerm 80 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 15940 def 234 ref appTerm 15941 def betaConv 18 ref 11 ref 15940 ref appTerm 15942 def absTerm 15943 def 58 ref appTerm 15944 def betaConv 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 14010 ref 13161 remove 57 ref appTerm 58 ref appTerm 59 ref appTerm 60 ref appTerm 61 ref appTerm 62 ref appTerm 63 ref appTerm 64 ref appTerm 65 ref appTerm 66 ref appTerm 67 ref appTerm 68 ref appTerm 69 ref appTerm 70 ref appTerm 71 ref appTerm 72 ref appTerm 73 ref appTerm 74 ref appTerm 75 ref appTerm 15945 def appTerm appTerm 80 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 15946 def 238 ref appTerm 15947 def betaConv 12 ref 11 ref 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 14010 remove 13160 remove 56 ref appTerm 57 ref appTerm 58 ref appTerm 59 remove appTerm 60 remove appTerm 61 ref appTerm 62 ref appTerm 63 ref appTerm 64 ref appTerm 65 ref appTerm 66 ref appTerm 67 ref appTerm 68 ref appTerm 69 ref appTerm 70 ref appTerm 71 ref appTerm 72 ref appTerm 73 remove appTerm 74 remove appTerm 75 remove appTerm 15948 def appTerm appTerm 80 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 15949 def 234 ref appTerm 15950 def betaConv 124 remove 13142 ref appTerm 15951 def betaConv 693 remove nil 399 ref 694 remove nil cons cons 400 ref 15951 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 125 remove 13998 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 15949 ref appTerm nil cons cons 400 ref 15950 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15949 remove nil cons cons 9219 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 15946 ref appTerm nil cons cons 400 ref 15947 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15946 remove nil cons cons 9485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 15943 ref appTerm nil cons cons 400 ref 15944 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15943 remove nil cons cons 477 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15942 remove nil cons cons 400 ref 15941 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15940 remove nil cons cons 9219 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 15937 ref appTerm nil cons cons 400 ref 15938 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15937 remove nil cons cons 9485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 15934 ref appTerm nil cons cons 400 ref 15935 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15934 remove nil cons cons 483 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15933 remove nil cons cons 400 ref 15932 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15931 remove nil cons cons 484 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15930 remove nil cons cons 400 ref 15929 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15928 remove nil cons cons 485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15927 remove nil cons cons 400 ref 15926 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15925 remove nil cons cons 487 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15924 remove nil cons cons 400 ref 15923 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15922 remove nil cons cons 488 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15921 remove nil cons cons 400 ref 15920 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15919 remove nil cons cons 489 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15918 remove nil cons cons 400 ref 15917 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15916 remove nil cons cons 490 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15915 remove nil cons cons 400 ref 15914 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15913 remove nil cons cons 492 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15912 remove nil cons cons 400 ref 15911 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15910 remove nil cons cons 494 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15909 remove nil cons cons 400 ref 15908 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15907 remove nil cons cons 495 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15906 remove nil cons cons 400 ref 15905 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15904 remove nil cons cons 496 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15903 remove nil cons cons 400 ref 15902 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15901 remove nil cons cons 497 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15900 remove nil cons cons 400 ref 15899 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 15898 remove nil cons cons 598 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 15895 ref appTerm nil cons cons 400 ref 15896 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15895 remove nil cons cons 470 ref 7994 remove cons nil cons 15952 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 15892 ref appTerm nil cons cons 400 ref 15893 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 15892 remove nil cons cons 470 ref 7993 remove cons nil cons 15953 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 15889 ref appTerm nil cons cons 400 ref 15890 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 15889 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 15954 def subst eqMp eqMp proveHyp eqMp nil 14408 ref 437 ref 15848 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14284 ref 15838 remove cons nil cons cons 451 ref subst deductAntisym eqMp 14411 ref nil 14284 ref 14412 ref 1553 ref 15020 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 14162 ref 14994 remove cons nil cons cons 451 ref subst deductAntisym eqMp 14196 ref nil 14162 ref 14197 ref 1553 ref 14795 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 14789 remove cons 15955 def 437 ref 14785 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 14770 remove cons 15956 def 437 ref 14766 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 14752 remove cons 15957 def 437 ref 14748 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 14726 remove cons 15958 def 437 ref 14722 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 14700 remove cons 15959 def 437 ref 14696 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 14665 remove cons 15960 def 437 ref 14661 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 14642 remove cons 15961 def 437 ref 14638 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 14615 remove cons 437 ref 14528 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp proveHyp eqMp nil 399 ref 42 ref 14517 remove appTerm 14593 remove appTerm nil cons cons 400 ref 41 ref 14523 remove appTerm 14527 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 14528 remove cons 400 ref 14522 remove nil cons cons 14592 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp eqMp nil 13946 ref 437 ref 14490 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13947 ref 437 ref 14485 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13948 ref 437 ref 14480 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13949 ref 437 ref 14473 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 399 ref 14228 remove nil cons 15962 def cons 400 ref 14231 ref nil cons 15963 def cons nil cons 15964 def cons nil cons cons 467 ref subst proveHyp nil 399 ref 77 ref 698 ref 13137 ref appTerm 15965 def 708 ref appTerm 15966 def appTerm 15967 def nil cons 15968 def cons 15964 ref cons nil cons cons 15969 def 416 ref subst 15969 remove 467 ref subst nil 150 ref 14211 ref nil cons cons nil cons nil cons cons 4418 ref subst sym 1003 ref 8750 ref 12275 ref appTerm absTerm 15970 def 13137 ref appTerm betaConv sym 625 ref nil 150 ref 7658 ref 13137 ref appTerm 15971 def nil cons cons nil cons nil cons cons 155 ref subst nil 7670 ref 1006 ref 13628 remove cons 15972 def nil cons 15973 def cons nil cons cons 15974 def 4456 ref subst 15967 remove assume eqMp eqMp 15975 def appThm 15976 def 15965 ref 11910 ref appTerm 15977 def refl appThm nil 150 ref 15977 remove nil cons 15978 def cons nil cons nil cons cons 633 ref subst trans sym 1003 ref 42 ref 15965 ref 1011 ref appTerm appTerm 15979 def 12275 remove appTerm absTerm 15980 def 12281 remove 69 ref appTerm 15981 def appTerm betaConv sym 625 ref nil 15058 remove 12078 ref 15060 remove cons cons nil cons cons 4718 ref subst 12023 remove trans appThm 15982 def 698 ref 15981 ref appTerm 15983 def 11910 ref appTerm 15984 def refl appThm nil 150 ref 15984 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym 4701 ref nil 12058 ref 1222 ref cons nil cons cons 1169 ref subst 1223 ref nil 12058 ref 1228 ref cons nil cons cons 1169 ref subst 1229 ref nil 12058 ref 1234 ref cons nil cons cons 1169 ref subst 1235 ref 15077 remove 1169 ref subst appThm trans appThm trans appThm trans appThm 15985 def 1223 ref 1229 ref 1235 ref 12506 ref 4189 remove appThm appThm appThm appThm appThm nil 1116 ref 700 ref 701 ref 11906 ref 4194 ref appTerm 15986 def appTerm 15987 def appTerm nil cons cons 15073 ref cons nil cons cons 6045 ref subst nil 1116 ref 15987 remove nil cons cons 15074 ref cons nil cons cons 6045 ref subst nil 1116 ref 15986 remove nil cons cons 15075 ref cons nil cons cons 6045 ref subst trans trans trans sym 15076 ref nil 1003 ref 4194 remove nil cons cons 12079 ref cons nil cons cons 1210 ref subst appThm sym 15078 ref 1368 ref 2105 remove 2078 ref subst appThm 15062 ref appThm appThm nil 1116 ref 8950 remove nil cons cons 15079 ref cons nil cons cons 4718 ref subst nil 7986 remove 15080 remove cons nil cons cons 4718 ref subst 2688 remove 6133 ref subst trans trans trans sym 154 ref eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 15980 ref nil cons cons 475 ref 15981 ref nil cons cons nil cons 15988 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 15980 remove appTerm nil cons cons 400 ref 15978 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 12307 remove 15973 ref cons nil cons cons 4776 ref subst eqMp eqMp eqMp 162 ref 160 ref 15970 ref nil cons cons 13728 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 15970 remove appTerm nil cons cons 400 ref 7658 ref 11910 ref appTerm nil cons 15989 def cons nil cons cons nil cons cons 459 ref subst proveHyp 12311 remove 4602 ref subst eqMp nil 399 ref 15989 remove cons 400 ref 77 ref 14211 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14952 ref 7647 ref cons nil cons cons 14987 ref subst eqMp eqMp 129 ref "_49128" 2 ref var 15990 def 14230 ref 15990 remove varTerm appTerm absTerm 15991 def 14211 ref appTerm 15992 def appTerm refl 15991 ref 1407 ref appTerm betaConv appThm 439 ref 15992 remove betaConv appThm 14230 remove 1407 ref appTerm refl appThm trans 15991 remove refl 129 ref 14211 ref appTerm 1407 ref appTerm assume appThm eqMp sym nil 150 ref 14229 ref nil cons cons nil cons nil cons cons 4418 ref subst sym nil 14269 ref 400 ref 77 ref 14229 remove appTerm 15993 def nil cons 15994 def cons nil cons 15995 def cons nil cons cons 15996 def 416 ref subst 15996 remove 467 ref subst 14279 ref nil 14282 ref 15995 ref cons nil cons cons 459 ref subst proveHyp 14285 ref 15993 ref refl appThm sym nil 160 ref 14286 ref 14289 ref 15993 ref appTerm 15997 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 14286 ref nil 150 ref 15997 remove nil cons cons nil cons nil cons cons 155 ref subst nil 14292 ref 15995 ref cons nil cons cons 15998 def 416 ref subst 15998 remove 467 ref subst 14294 ref nil 14298 ref 15995 ref cons nil cons cons 15999 def 459 ref subst proveHyp 15999 ref 416 ref subst 15999 remove 467 ref subst 129 ref "_49280" 14 ref var 16000 def 77 ref 585 ref 713 ref 12941 ref 2714 ref 187 ref 13043 ref 16000 remove varTerm appTerm appTerm 7329 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 16001 def 14206 ref appTerm 16002 def appTerm refl 16003 def 16001 ref 14295 ref appTerm betaConv appThm 439 ref 16002 remove betaConv appThm 16004 def 77 ref 585 ref 713 ref 12941 ref 2714 ref 15725 ref 7329 ref appTerm appTerm appTerm appTerm 16005 def appTerm 16006 def appTerm refl appThm trans 16001 remove refl 16007 def 14308 ref appThm eqMp sym 620 ref 14945 ref 7837 ref 14040 ref 4544 ref 1368 ref 15128 remove 14574 ref subst 16008 def appThm 16009 def 7712 ref appThm nil 8791 ref 14589 ref 1006 ref 14325 ref nil cons 16010 def cons nil cons 16011 def cons 16012 def cons nil cons cons 1169 ref subst 14326 ref refl 16013 def nil 8791 ref 15306 ref cons nil cons cons 1169 ref subst 1223 ref nil 8791 ref 15310 ref cons nil cons cons 1169 ref subst 1229 ref nil 8791 ref 15311 ref cons nil cons cons 1169 ref subst 1235 ref nil 8791 ref 15312 ref cons nil cons cons 1169 ref subst 12506 ref nil 8791 ref 15316 ref cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm trans trans appThm appThm appThm appThm appThm sym 4701 ref 13644 remove 2078 ref subst 16014 def appThm nil 1116 ref 701 ref 11906 ref 189 ref 9356 ref 7329 ref appTerm 16015 def appTerm 16016 def appTerm 16017 def appTerm 16018 def nil cons 16019 def cons 2082 ref cons nil cons cons 2078 ref subst nil 1116 ref 16017 remove nil cons 16020 def cons 2089 ref cons nil cons cons 2078 ref subst nil 1116 ref 16016 remove nil cons 16021 def cons 14448 ref cons nil cons cons 2078 ref subst nil 1116 ref 16015 remove nil cons 16022 def cons 14451 ref cons nil cons cons 2078 ref subst nil 8791 remove 9353 remove 15063 remove cons 16023 def cons nil cons cons 2078 ref subst nil 2073 ref 7670 ref 1006 ref 14463 ref nil cons 16024 def cons nil cons 16025 def cons cons nil cons cons 2078 ref subst trans trans trans trans trans 16026 def appThm nil 1116 ref 187 ref 14463 remove appTerm 16027 def 708 ref appTerm 16028 def nil cons cons 16029 def 2719 ref 13641 ref nil cons cons cons nil cons cons 4718 ref subst trans sym 1003 ref 15979 remove 4352 ref 16028 ref appTerm appTerm absTerm 16030 def 15981 remove appTerm betaConv sym 15982 remove 15983 remove 16028 ref appTerm 16031 def refl appThm nil 150 ref 16031 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym 15985 remove nil 7790 ref 16023 ref cons nil cons cons 1169 ref subst nil 1116 ref 9356 ref 708 ref appTerm 16032 def nil cons cons 14451 ref cons nil cons cons 1169 ref subst nil 1116 ref 189 ref 16032 ref appTerm 16033 def nil cons 16034 def cons 14448 ref cons nil cons cons 1169 ref subst nil 1116 ref 11906 ref 16033 remove appTerm 16035 def nil cons cons 16036 def 2089 ref cons nil cons cons 1169 ref subst nil 1116 ref 701 ref 16035 remove appTerm 16037 def nil cons cons 16038 def 2082 ref cons nil cons cons 1169 ref subst trans trans trans trans 16039 def appThm nil 1116 ref 700 ref 16037 remove appTerm nil cons cons 16040 def 15073 remove cons nil cons cons 6045 ref subst nil 16038 ref 15074 remove cons nil cons cons 6045 ref subst nil 16036 ref 15075 remove cons nil cons cons 6045 ref subst trans trans trans sym 15076 remove nil 1003 ref 16034 remove cons 12079 ref cons nil cons cons 1210 ref subst 16041 def appThm sym 15078 remove 1368 ref nil 7790 ref 15316 ref cons nil cons cons 16042 def 2078 ref subst 16043 def appThm 15062 ref appThm appThm nil 1116 ref 187 ref 5005 remove appTerm 708 ref appTerm nil cons cons 15079 remove cons nil cons cons 4718 ref subst trans sym 12510 ref 16042 remove 1169 ref subst 1243 ref 1368 ref 9957 ref sym appThm 7652 ref appThm nil 7790 ref 9573 remove 4159 ref cons 16044 def cons nil cons cons 1169 ref subst trans appThm trans appThm nil 1116 ref 2714 ref 9578 ref 708 ref appTerm 16045 def appTerm nil cons cons 1241 ref cons nil cons cons 6045 ref subst nil 1003 ref 16045 remove nil cons cons 4159 ref cons nil cons cons 6133 ref subst trans trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 16030 ref nil cons cons 15988 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16030 remove appTerm nil cons cons 400 ref 15965 ref 16028 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 16029 ref 15973 ref cons nil cons cons 4776 ref subst eqMp eqMp nil 1003 ref 699 ref 700 ref 16018 remove appTerm 16046 def appTerm 16047 def nil cons cons 15082 ref cons nil cons cons 1028 ref subst 15053 remove 16047 ref appTerm assume eqMp nil 399 ref 167 ref 1014 ref 180 ref 16047 ref appTerm 16048 def 187 ref 12916 ref appTerm 16049 def 1017 ref appTerm appTerm absTerm 16050 def appTerm 16051 def nil cons cons 400 ref 77 ref 585 ref 713 ref 12941 ref 2714 ref 14326 ref 16047 ref appTerm appTerm appTerm appTerm appTerm appTerm 16052 def nil cons 16053 def cons nil cons 16054 def cons nil cons cons 459 ref subst proveHyp nil 160 ref "id" 14 ref var 16055 def 41 ref 16050 ref 16055 ref varTerm 16056 def appTerm 16057 def appTerm 16052 ref appTerm 16058 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 16055 ref nil 150 ref 16058 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 16057 ref nil cons 16059 def cons 16054 ref cons nil cons cons 16060 def 416 ref subst 16060 remove 467 ref subst 16057 ref betaConv 16057 remove assume eqMp nil 399 ref 16048 remove 16049 ref 16056 ref appTerm 16061 def appTerm 16062 def nil cons 16063 def cons 16054 ref cons nil cons cons 16064 def 459 ref subst proveHyp 16064 ref 416 ref subst 16064 remove 467 ref subst 695 ref 41 ref 42 ref 236 ref 188 ref appTerm 16065 def appTerm 16066 def 706 ref 42 ref 17 ref 707 ref 712 ref 129 ref 13973 ref 187 ref 187 ref 187 ref 713 ref 12941 ref 2714 ref 14325 ref appTerm 16067 def appTerm 16068 def appTerm 16069 def appTerm 13137 ref appTerm 16070 def appTerm 192 ref appTerm 16071 def appTerm 16072 def 708 ref appTerm appTerm appTerm 718 ref appTerm 16073 def appTerm absTerm appTerm appTerm 42 ref 180 ref 187 ref 726 ref 729 ref 16071 ref appTerm appTerm appTerm 736 ref appTerm appTerm 742 ref appTerm 16074 def appTerm 16075 def 13167 ref appTerm 16076 def appTerm appTerm appTerm appTerm 129 ref 585 ref 16072 ref 710 ref appTerm appTerm appTerm 752 ref appTerm appTerm absTerm 16077 def 16056 ref appTerm 16078 def betaConv 38 ref 17 ref 695 ref 41 ref 16066 ref 706 ref 42 ref 17 ref 707 ref 712 ref 129 ref 13974 remove appTerm 718 ref appTerm 16079 def appTerm absTerm appTerm appTerm 16080 def 744 ref 13167 ref appTerm appTerm appTerm appTerm appTerm 1037 ref appTerm absTerm appTerm absTerm 16081 def 16071 ref appTerm 16082 def betaConv 37 ref 17 ref 38 ref 17 ref 695 ref 41 ref 16066 ref 706 ref 16080 ref 744 ref 15891 ref appTerm appTerm appTerm appTerm appTerm 1037 ref appTerm absTerm appTerm absTerm appTerm absTerm 16083 def 4996 ref appTerm 16084 def betaConv 36 ref 11 ref 37 ref 17 ref 38 ref 17 ref 695 ref 41 ref 16066 ref 706 ref 16080 ref 744 ref 15894 ref appTerm appTerm appTerm appTerm appTerm 1037 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 16085 def 4994 ref appTerm 16086 def betaConv 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 17 ref 695 ref 41 ref 16066 ref 706 ref 16080 ref 744 ref 15897 ref appTerm appTerm appTerm appTerm appTerm 753 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 16087 def 262 ref appTerm 16088 def betaConv 32 ref 34 ref 16087 ref appTerm 16089 def absTerm 16090 def 72 ref appTerm 16091 def betaConv 31 ref 11 ref 16090 ref appTerm 16092 def absTerm 16093 def 71 ref appTerm 16094 def betaConv 30 ref 11 ref 16093 ref appTerm 16095 def absTerm 16096 def 70 ref appTerm 16097 def betaConv 29 ref 11 ref 16096 ref appTerm 16098 def absTerm 16099 def 69 ref appTerm 16100 def betaConv 28 ref 17 ref 16099 ref appTerm 16101 def absTerm 16102 def 68 ref appTerm 16103 def betaConv 27 ref 17 ref 16102 ref appTerm 16104 def absTerm 16105 def 67 ref appTerm 16106 def betaConv 26 ref 11 ref 16105 ref appTerm 16107 def absTerm 16108 def 66 ref appTerm 16109 def betaConv 25 ref 11 ref 16108 ref appTerm 16110 def absTerm 16111 def 65 ref appTerm 16112 def betaConv 24 ref 11 ref 16111 ref appTerm 16113 def absTerm 16114 def 64 ref appTerm 16115 def betaConv 23 ref 17 ref 16114 ref appTerm 16116 def absTerm 16117 def 63 ref appTerm 16118 def betaConv 22 ref 11 ref 16117 ref appTerm 16119 def absTerm 16120 def 62 ref appTerm 16121 def betaConv 21 ref 11 ref 16120 ref appTerm 16122 def absTerm 16123 def 61 ref appTerm 16124 def betaConv 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 17 ref 695 ref 41 ref 16066 ref 706 ref 16080 ref 744 ref 15936 ref appTerm appTerm appTerm appTerm appTerm 753 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 16125 def 238 ref appTerm 16126 def betaConv 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 17 ref 695 ref 41 ref 16066 ref 706 ref 16080 ref 744 ref 15939 ref appTerm appTerm appTerm appTerm appTerm 753 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 16127 def 234 ref appTerm 16128 def betaConv 18 ref 11 ref 16127 ref appTerm 16129 def absTerm 16130 def 58 ref appTerm 16131 def betaConv 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 17 ref 695 ref 41 ref 16066 ref 706 ref 16080 ref 744 ref 15945 ref appTerm appTerm appTerm appTerm appTerm 753 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 16132 def 238 ref appTerm 16133 def betaConv 12 ref 11 ref 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 17 ref 695 ref 41 ref 697 ref 706 ref 16080 remove 744 ref 15948 ref appTerm appTerm appTerm appTerm appTerm 753 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 16134 def 234 ref appTerm 16135 def betaConv 799 remove 13142 ref appTerm 16136 def betaConv 2181 remove nil 399 ref 802 remove cons 400 ref 16136 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 803 remove 13998 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 16134 ref appTerm nil cons cons 400 ref 16135 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16134 remove nil cons cons 9219 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 16132 ref appTerm nil cons cons 400 ref 16133 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16132 remove nil cons cons 9485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 16130 ref appTerm nil cons cons 400 ref 16131 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16130 remove nil cons cons 477 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16129 remove nil cons cons 400 ref 16128 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16127 remove nil cons cons 9219 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 16125 ref appTerm nil cons cons 400 ref 16126 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16125 remove nil cons cons 9485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 16123 ref appTerm nil cons cons 400 ref 16124 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16123 remove nil cons cons 483 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16122 remove nil cons cons 400 ref 16121 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16120 remove nil cons cons 484 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16119 remove nil cons cons 400 ref 16118 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16117 remove nil cons cons 485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16116 remove nil cons cons 400 ref 16115 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16114 remove nil cons cons 487 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16113 remove nil cons cons 400 ref 16112 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16111 remove nil cons cons 488 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16110 remove nil cons cons 400 ref 16109 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16108 remove nil cons cons 489 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16107 remove nil cons cons 400 ref 16106 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16105 remove nil cons cons 490 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16104 remove nil cons cons 400 ref 16103 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16102 remove nil cons cons 492 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16101 remove nil cons cons 400 ref 16100 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16099 remove nil cons cons 494 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16098 remove nil cons cons 400 ref 16097 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16096 remove nil cons cons 495 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16095 remove nil cons cons 400 ref 16094 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16093 remove nil cons cons 496 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16092 remove nil cons cons 400 ref 16091 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16090 remove nil cons cons 497 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16089 remove nil cons cons 400 ref 16088 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 16087 remove nil cons cons 598 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 16085 ref appTerm nil cons cons 400 ref 16086 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16085 remove nil cons cons 15952 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 16083 ref appTerm nil cons cons 400 ref 16084 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 16083 remove nil cons cons 15953 ref cons nil cons cons 469 ref subst eqMp eqMp 16137 def nil 399 ref 17 ref 16081 ref appTerm nil cons cons 16138 def 400 ref 16082 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16081 ref nil cons cons 16139 def 475 ref 16071 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 16077 ref appTerm nil cons cons 400 ref 16078 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16077 remove nil cons cons 475 ref 16056 ref nil cons 16140 def cons nil cons 16141 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 16066 ref 706 ref 42 ref 17 ref 707 ref 41 ref 709 ref 16056 ref appTerm appTerm 16142 def 16073 remove appTerm absTerm appTerm 16143 def appTerm 16144 def 16076 remove appTerm appTerm 16145 def appTerm 16146 def appTerm 129 ref 585 ref 16072 ref 16056 ref appTerm appTerm appTerm 180 ref 747 ref 16056 ref appTerm 16147 def appTerm 16148 def 751 ref appTerm 16149 def appTerm 16150 def appTerm 16151 def nil cons cons 16054 remove cons nil cons cons 459 ref subst proveHyp 129 ref "_49432" 14 ref var 16152 def 236 ref 16152 remove varTerm appTerm absTerm 16153 def 188 ref appTerm 16154 def appTerm refl 16153 ref 182 ref appTerm betaConv appThm 439 ref 16154 remove betaConv appThm 236 remove 182 remove appTerm refl appThm trans 16153 remove refl 12150 remove appThm eqMp sym 1131 ref 13334 remove assume appThm 12151 remove appThm 12152 remove trans sym 154 ref eqMp eqMp 16155 def nil 399 ref 16065 remove nil cons cons 16156 def 400 ref 16145 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 12024 ref 16144 ref refl 16075 remove refl 15855 ref appThm nil 150 ref 16074 ref nil cons 16157 def cons nil cons nil cons cons 1105 ref subst trans appThm appThm nil 150 ref 16144 remove 16074 remove appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym nil 160 ref "ix" 14 ref var 16158 def 41 ref 698 ref 16158 ref varTerm 16159 def appTerm 16056 ref appTerm 16160 def appTerm 16161 def 129 ref 13973 ref 16072 remove 16159 ref appTerm appTerm appTerm 180 ref 16159 ref appTerm 16162 def 191 ref appTerm 16163 def appTerm 16164 def appTerm 16165 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 16158 ref nil 150 ref 16165 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 16160 ref nil cons 16166 def cons 16167 def 400 ref 16164 remove nil cons 16168 def cons nil cons cons nil cons cons 16169 def 416 ref subst 16169 remove 467 ref subst 439 ref 13973 ref refl 16170 def nil 1116 ref 16159 ref nil cons 16171 def cons 16172 def 1237 ref 1006 ref 16070 remove nil cons cons nil cons cons 16173 def cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 16159 ref appTerm 16174 def nil cons cons 16175 def 13641 ref 1006 ref 16069 ref nil cons cons nil cons cons 16176 def cons nil cons cons 1169 ref subst nil 1116 ref 14043 ref 16174 ref appTerm nil cons cons 16177 def 1003 ref 16068 ref nil cons cons 7786 ref cons 16178 def cons nil cons cons 1169 ref subst trans trans 7837 ref nil 16177 ref 1003 ref 16067 remove nil cons cons 13635 ref cons 16179 def cons nil cons cons 1169 ref subst 14040 ref nil 16177 ref 1003 ref 16010 remove cons 16180 def 4159 ref cons 16181 def cons nil cons cons 1169 ref subst 4544 ref 16013 ref nil 16175 ref 13643 ref cons nil cons cons 16182 def 1169 ref subst 16183 def appThm appThm trans appThm trans appThm trans appThm appThm 16163 ref refl 16184 def appThm sym 180 ref 747 ref 11906 ref 16174 remove appTerm appTerm 16185 def appTerm 16186 def refl nil 1003 ref 15081 ref cons 16187 def 1006 ref 16171 ref cons nil cons cons nil cons cons 1210 ref subst appThm sym 1131 ref 16182 remove 2078 ref subst nil 16172 ref 1237 ref 15973 ref cons 16188 def cons nil cons cons 2078 ref subst trans appThm 1368 ref 16014 ref appThm 16189 def 16159 ref refl 16190 def appThm appThm nil 475 ref 187 ref 14044 ref appTerm 16191 def 16159 ref appTerm nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp 16192 def 129 ref "_49434" 14 ref var 16193 def 129 ref 13973 ref 713 ref 12941 ref 2714 ref 14326 ref 16193 remove varTerm appTerm appTerm appTerm appTerm appTerm appTerm 16163 ref appTerm absTerm 16194 def 16185 ref appTerm 16195 def appTerm refl 16194 ref 187 ref 16159 ref appTerm 12916 ref appTerm 16196 def appTerm betaConv appThm 439 ref 16195 remove betaConv appThm 129 ref 13973 ref 713 ref 12941 ref 2714 ref 14326 ref 16196 ref appTerm 16197 def appTerm 16198 def appTerm appTerm appTerm appTerm 16163 ref appTerm refl appThm trans 16194 remove refl 16186 remove 16196 ref appTerm assume 16199 def appThm eqMp sym 439 ref 16170 ref nil 1116 ref 16198 remove nil cons cons 14427 ref cons nil cons cons 2078 ref subst nil 1116 ref 16197 remove nil cons cons 14429 ref cons nil cons cons 2078 ref subst nil 1116 ref 16196 ref nil cons cons 16200 def 16180 ref 14433 ref cons cons nil cons cons 2078 ref subst nil 1116 ref 15081 ref cons 16201 def 1003 ref 16171 ref cons 16202 def 1006 ref 14435 ref 14325 ref appTerm 16203 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 1116 ref 15059 ref cons 16204 def 1213 ref 1006 ref 187 ref 16203 remove appTerm 16159 ref appTerm 16205 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 2073 ref 12476 ref 1006 ref 187 ref 16205 remove appTerm 68 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 14439 ref 14454 ref 15136 ref appThm 16206 def appThm appThm 16190 ref appThm appThm 68 ref refl 16207 def appThm appThm 15062 ref appThm appThm 2100 ref appThm trans appThm appThm 16184 ref appThm sym 14068 ref nil 14070 ref 400 ref 129 ref 13973 ref 187 ref 187 ref 187 ref 187 ref 14435 ref 14464 ref 14287 ref appTerm 16208 def appTerm appTerm 16209 def 16159 ref appTerm 16210 def appTerm 16211 def 68 ref appTerm appTerm 69 ref appTerm 16212 def appTerm 192 ref appTerm appTerm appTerm 16163 ref appTerm 16213 def nil cons 16214 def cons nil cons 16215 def cons nil cons cons 459 ref subst proveHyp 14073 ref 16213 remove refl appThm sym nil 14076 ref 16215 remove cons nil cons cons 16216 def 416 ref subst 16216 remove 467 ref subst 439 ref nil 38 ref 16212 remove nil cons cons nil cons nil cons cons 14080 ref subst appThm 16184 ref appThm sym 439 ref 13656 ref refl 16217 def nil 12058 ref 1213 ref 1006 ref 16210 ref nil cons 16218 def cons nil cons cons cons nil cons cons 1169 ref subst appThm appThm 16184 ref appThm sym 13729 ref nil 13731 ref 400 ref 129 ref 13656 ref 16211 remove 13137 ref appTerm appTerm appTerm 16163 ref appTerm 16219 def nil cons 16220 def cons nil cons 16221 def cons nil cons cons 459 ref subst proveHyp 13737 ref 16219 remove refl appThm sym nil 13740 ref 16221 remove cons nil cons cons 16222 def 416 ref subst 16222 remove 467 ref subst 439 ref nil 38 ref 16218 remove cons nil cons nil cons cons 13744 ref subst appThm 16184 ref appThm sym nil 399 ref 77 ref 16163 ref appTerm nil cons 16223 def cons 16224 def 400 ref 129 ref 13720 ref 16210 remove appTerm 16225 def appTerm 16226 def 16163 ref appTerm nil cons 16227 def cons nil cons 16228 def cons nil cons cons 16229 def 416 ref subst 16229 remove 467 ref subst 6237 ref 16159 ref appTerm 16230 def betaConv 6240 ref nil 6241 ref 400 ref 16230 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6242 ref 475 ref 16171 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 16231 def nil 399 ref 1486 ref 16163 ref appTerm 167 ref 1003 ref 16162 ref 1286 ref appTerm absTerm 16232 def appTerm 16233 def appTerm nil cons cons 16234 def 16228 ref cons nil cons cons 459 ref subst proveHyp 165 ref 1508 ref nil 16224 ref 400 ref 129 ref 16163 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 16163 ref nil cons 16235 def cons 16236 def nil cons nil cons cons 1932 ref subst eqMp 16237 def appThm 16233 ref refl appThm nil 150 ref 16233 ref nil cons cons nil cons nil cons cons 1541 ref subst trans appThm 16238 def 16226 remove refl 16237 ref appThm nil 150 ref 16225 ref nil cons cons nil cons nil cons cons 4418 ref subst trans appThm sym nil 160 ref "iy" 14 ref var 16239 def 41 ref 16232 ref 16239 ref varTerm 16240 def appTerm 16241 def appTerm 16242 def 77 ref 16225 remove appTerm 16243 def appTerm 16244 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 16239 ref nil 150 ref 16244 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 16241 ref nil cons 16245 def cons 16246 def 400 ref 16243 ref nil cons 16247 def cons nil cons 16248 def cons nil cons cons 16249 def 416 ref subst 16249 remove 467 ref subst 16241 ref betaConv 16241 remove assume eqMp 16250 def nil 399 ref 16162 remove 1285 ref 16240 ref appTerm 16251 def appTerm 16252 def nil cons 16253 def cons 16254 def 16248 remove cons nil cons cons 16255 def 459 ref subst proveHyp 16255 ref 416 ref subst 16255 remove 467 ref subst 129 ref "_49588" 14 ref var 16256 def 77 ref 13720 ref 16209 ref 16256 remove varTerm appTerm appTerm appTerm absTerm 16257 def 16159 ref appTerm 16258 def appTerm refl 16257 ref 16251 ref appTerm betaConv appThm 439 ref 16258 remove betaConv appThm 77 ref 13720 ref 16209 remove 16251 ref appTerm appTerm appTerm 16259 def refl appThm trans 16257 remove refl 16252 remove assume 16260 def appThm eqMp sym 14321 ref nil 14347 ref 400 ref 16259 ref nil cons 16261 def cons nil cons 16262 def cons nil cons cons 459 ref subst proveHyp 14351 remove 7677 ref subst 16263 def nil 399 ref 14322 ref nil cons cons 16264 def 400 ref 14381 ref 16259 ref appTerm 16265 def nil cons cons nil cons 16266 def cons nil cons cons 467 ref subst proveHyp 14368 ref nil 14369 ref 400 ref 14370 ref 16259 ref appTerm 16267 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 14373 ref 16262 ref cons nil cons cons 16268 def 416 ref subst 16268 remove 467 ref subst 14376 remove 451 ref subst 16269 def 14328 ref 16240 ref appTerm 16270 def betaConv nil 399 ref 14375 remove cons 16271 def 400 ref 16270 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 14328 ref nil cons cons 16272 def 475 ref 16240 ref nil cons 16273 def cons nil cons 16274 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 4349 ref 16240 ref appTerm 16275 def 11919 ref appTerm 16276 def appTerm 16277 def 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14326 ref 187 ref 16240 ref appTerm 192 ref appTerm 16278 def appTerm appTerm appTerm appTerm 16279 def appTerm 16280 def appTerm 16281 def appTerm 13746 ref 16279 ref appTerm 16282 def appTerm 16283 def appTerm 129 ref 585 ref 16279 remove appTerm appTerm 180 ref 16240 ref appTerm 11910 ref appTerm 16284 def appTerm 16285 def appTerm 16286 def appTerm 16287 def nil cons cons 16262 ref cons nil cons cons 459 ref subst proveHyp 1003 ref 42 ref 16275 ref 1011 ref appTerm appTerm 16288 def 4352 ref 11919 ref appTerm 16289 def appTerm absTerm 16290 def 16056 ref appTerm betaConv sym 625 ref nil 1003 ref 16140 ref cons 16291 def 1006 ref 16273 remove cons nil cons 16292 def cons nil cons cons 15831 ref subst nil 150 ref 698 ref 16251 ref appTerm 16056 ref appTerm 16293 def nil cons cons nil cons nil cons cons 155 ref subst 129 ref "_49734" 14 ref var 16294 def 698 ref 16294 remove varTerm appTerm 16056 ref appTerm absTerm 16295 def 16159 ref appTerm 16296 def appTerm refl 16295 ref 16251 ref appTerm betaConv appThm 439 ref 16296 remove betaConv appThm 16293 remove refl appThm trans 16295 remove refl 16260 ref appThm eqMp 16160 remove assume eqMp eqMp trans appThm 16297 def 698 ref 16056 ref appTerm 11919 ref appTerm 16298 def refl appThm nil 150 ref 16298 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym nil 14882 ref 16291 ref nil cons 16299 def cons nil cons cons 1116 ref 15403 remove 698 ref 16049 ref 1011 ref appTerm appTerm 16049 ref 1117 ref appTerm appTerm 16300 def appTerm 16301 def absTerm 16302 def 1117 ref appTerm 16303 def betaConv 1003 ref 17 ref 16302 ref appTerm 16304 def absTerm 16305 def 1011 ref appTerm 16306 def betaConv 603 ref 1003 ref 603 ref 1116 ref 16301 remove assume sym 129 ref 16300 remove appTerm 4555 remove appTerm assume sym deductAntisym absThm appThm absThm appThm 6039 remove 12916 ref appTerm 16307 def betaConv 6042 remove nil 6043 remove 400 ref 16307 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6044 remove 475 ref 15081 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp nil 399 ref 17 ref 16305 ref appTerm nil cons cons 400 ref 16306 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16305 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16304 remove nil cons cons 400 ref 16303 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16302 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst sym 4701 ref 16062 remove assume 16308 def sym 16309 def appThm 16049 remove 11919 ref appTerm refl appThm sym 698 ref 16047 ref appTerm refl 16310 def nil 12071 ref 15082 remove cons nil cons cons 1210 ref subst appThm sym 16310 remove nil 16201 ref 12073 ref cons nil cons cons 1169 ref subst 1223 ref nil 16201 ref 12075 ref cons nil cons cons 1169 ref subst 1229 ref nil 16201 ref 12077 ref cons nil cons cons 1169 ref subst 1235 ref nil 16201 ref 12080 ref cons nil cons cons 1169 ref subst 12506 ref nil 16201 ref 12065 ref cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm nil 1116 ref 700 ref 701 ref 11906 ref 189 ref 9578 ref 12916 ref appTerm 16311 def appTerm 16312 def appTerm 16313 def appTerm 16314 def appTerm nil cons cons 1003 ref 16046 remove nil cons cons 1221 ref cons cons nil cons cons 6045 ref subst nil 1116 ref 16314 remove nil cons cons 1003 ref 16019 remove cons 1227 ref cons cons nil cons cons 6045 ref subst nil 1116 ref 16313 remove nil cons cons 1003 ref 16020 remove cons 1233 ref cons cons nil cons cons 6045 ref subst nil 1116 ref 16312 remove nil cons cons 1003 ref 16021 remove cons 12079 ref cons cons nil cons cons 6045 ref subst nil 1116 ref 16311 remove nil cons cons 1003 ref 16022 remove cons 1240 ref cons cons nil cons cons 6045 ref subst trans trans trans trans trans sym 4701 ref nil 2073 ref 7670 ref 1006 ref 9352 remove cons nil cons 16315 def cons cons nil cons cons 16316 def 2078 ref subst appThm nil 16204 ref 1213 ref 1006 ref 9572 remove cons nil cons cons cons nil cons cons 2078 ref subst nil 2073 ref 12476 ref 1006 ref 9578 remove 68 ref appTerm 16317 def nil cons 16318 def cons nil cons cons cons nil cons cons 2078 ref subst trans appThm sym 698 ref 187 ref 16032 remove appTerm 192 ref appTerm appTerm refl 16319 def nil 1237 ref 1006 ref 187 ref 16317 remove appTerm 69 ref appTerm nil cons cons nil cons cons nil cons cons 1210 ref subst appThm sym 16319 remove nil 12058 ref 1003 ref 16318 remove cons 4159 ref cons cons nil cons cons 2078 ref subst 1368 ref nil 1132 ref 16044 remove cons nil cons cons 2078 ref subst 1368 ref 9957 remove appThm 16207 ref appThm trans appThm 15062 ref appThm trans appThm sym 4701 ref 16316 remove 1169 ref subst appThm nil 12058 ref 1213 ref 16315 ref cons cons nil cons cons 1169 ref subst appThm nil 13629 ref 8782 ref 16315 ref cons cons nil cons cons 6045 ref subst trans sym 4701 ref 7649 remove appThm 16320 def 13790 ref appThm nil 13641 ref 7647 ref cons nil cons cons 15655 ref subst 15975 remove trans trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 16290 ref nil cons cons 16141 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16290 remove appTerm nil cons cons 400 ref 16276 ref nil cons 16321 def cons nil cons 16322 def cons nil cons cons 459 ref subst proveHyp nil 14882 ref 16292 ref cons nil cons cons 16323 def 4602 ref subst eqMp nil 399 ref 16321 remove cons 16324 def 400 ref 41 ref 16286 ref appTerm 16259 ref appTerm 16325 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 16286 remove nil cons 16326 def cons 16262 remove cons nil cons cons 16327 def 416 ref subst 16327 remove 467 ref subst nil 435 ref 16283 remove nil cons cons 437 ref 16285 remove nil cons cons nil cons cons nil cons cons 451 ref subst nil 435 ref 16281 remove nil cons 16328 def cons 437 ref 16282 remove nil cons cons nil cons cons nil cons cons 451 ref subst 620 ref 13812 ref nil 1116 ref 16251 ref nil cons cons 16329 def 1003 ref 16208 ref nil cons 16330 def cons 14433 remove cons 16331 def cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 16208 ref appTerm 16332 def 16251 ref appTerm 16333 def nil cons cons 14429 ref cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 16333 remove appTerm nil cons cons 14427 ref cons nil cons cons 1169 ref subst trans trans 7837 ref 14040 ref 4544 ref 1368 ref 14504 ref 15136 remove appThm 16334 def appThm 16335 def nil 16292 ref nil cons cons 4539 ref subst 16336 def appThm appThm appThm appThm trans appThm nil 399 ref 16328 remove cons 400 ref 129 ref 16280 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 16280 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp trans appThm 1507 ref trans sym 154 ref eqMp proveHyp proveHyp eqMp nil 435 ref 16326 ref cons 437 ref 16261 ref cons nil cons 16337 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 16276 remove appTerm 16338 def 16325 remove appTerm nil cons cons 400 ref 41 ref 16287 remove appTerm 16259 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 16261 remove cons 16339 def 400 ref 16326 remove cons 16324 ref nil cons 16340 def cons cons nil cons cons 2139 ref subst eqMp eqMp proveHyp eqMp nil 14379 ref 16337 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 14380 ref 16267 remove appTerm nil cons cons 16266 remove cons nil cons cons 459 ref subst proveHyp nil 16339 ref 14382 ref cons nil cons cons 2139 ref subst eqMp eqMp nil 399 ref 42 ref 14322 remove appTerm 16341 def 16265 remove appTerm nil cons cons 400 ref 41 ref 14346 remove appTerm 16342 def 16259 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 16339 remove 400 ref 14352 remove cons 16264 ref nil cons cons 16343 def cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 435 ref 16253 remove cons 16344 def 437 ref 16247 remove cons nil cons 16345 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 16245 remove cons 16346 def 16345 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 16232 ref 689 ref appTerm appTerm 16347 def 16243 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 16233 remove appTerm 16348 def 16243 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16232 remove nil cons cons 16349 def 16345 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 16223 ref cons 16350 def 437 ref 16227 ref cons nil cons 16351 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 16235 ref cons 16352 def 16228 remove cons nil cons cons 16353 def 416 ref subst 16353 remove 467 ref subst 439 ref 13812 ref nil 16172 ref 16331 remove cons nil cons cons 1169 ref subst nil 1116 ref 16332 ref 16159 ref appTerm 16354 def nil cons cons 14429 ref cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 16354 remove appTerm nil cons cons 14427 ref cons nil cons cons 1169 ref subst trans trans 7837 ref 14040 ref 4544 ref 16335 ref 16163 ref assume 16355 def appThm nil 16011 ref nil cons cons 1366 remove subst trans appThm appThm appThm trans appThm appThm 1131 ref 16355 ref appThm 1266 ref appThm 1282 ref trans 16356 def appThm nil 150 ref 13720 ref 16069 remove appTerm 16357 def nil cons 16358 def cons nil cons nil cons cons 11320 ref subst trans sym nil 399 ref 77 ref 180 ref 14287 ref appTerm 16359 def 191 ref appTerm 16360 def appTerm nil cons 16361 def cons 16362 def 400 ref 16358 ref cons nil cons 16363 def cons nil cons cons 16364 def 416 ref subst 16364 remove 467 ref subst 6237 remove 14287 ref appTerm 16365 def betaConv 6240 remove nil 6241 remove 400 ref 16365 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6242 remove 14320 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 1486 ref 16360 ref appTerm 167 ref 1003 ref 16359 ref 1286 ref appTerm absTerm 16366 def appTerm 16367 def appTerm nil cons cons 16363 ref cons nil cons cons 459 ref subst proveHyp 165 ref 1508 ref nil 16362 remove 400 ref 129 ref 16360 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 16360 ref nil cons 16368 def cons 16369 def nil cons nil cons cons 1932 ref subst eqMp appThm 16367 ref refl appThm nil 150 ref 16367 ref nil cons cons nil cons nil cons cons 1541 ref subst trans appThm 16357 ref refl appThm sym nil 160 ref "miss" 14 ref var 16370 def 41 ref 16366 ref 16370 ref varTerm 16371 def appTerm 16372 def appTerm 16357 ref appTerm 16373 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 16370 remove nil 150 ref 16373 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 16372 ref nil cons 16374 def cons 16363 ref cons nil cons cons 16375 def 416 ref subst 16375 remove 467 ref subst 16372 ref betaConv 16372 remove assume eqMp nil 399 ref 16359 remove 1285 ref 16371 ref appTerm 16376 def appTerm 16377 def nil cons 16378 def cons 16363 ref cons nil cons cons 16379 def 459 ref subst proveHyp 16379 ref 416 ref subst 16379 remove 467 ref subst 129 ref "_49436" 14 ref var 16380 def 13720 ref 713 ref 12941 ref 2714 ref 13043 ref 16380 remove varTerm appTerm appTerm appTerm appTerm appTerm absTerm 16381 def 14287 ref appTerm 16382 def appTerm refl 16381 remove 16376 ref appTerm betaConv appThm 439 ref 16382 remove betaConv appThm 13720 ref 713 ref 12941 ref 2714 ref 13043 ref 16376 ref appTerm 16383 def appTerm appTerm appTerm 16384 def appTerm 16385 def refl appThm trans 14307 remove 16377 remove assume 16386 def appThm eqMp sym 1006 ref 41 ref 4459 ref 1285 ref 16376 ref appTerm 16387 def appTerm appTerm 14217 ref appTerm absTerm 16388 def 16371 ref appTerm 16389 def betaConv 129 ref "_49568" 14 ref var 16390 def 17 ref 1006 ref 41 ref 4459 ref 1285 ref 16390 remove varTerm appTerm appTerm appTerm 14217 remove appTerm absTerm appTerm absTerm 16391 def 14287 ref appTerm 16392 def appTerm refl 16391 ref 16376 ref appTerm betaConv appThm 439 ref 16392 remove betaConv appThm 17 ref 16388 ref appTerm 16393 def refl appThm trans 16391 remove refl 16386 ref appThm eqMp 14316 remove eqMp nil 399 ref 16393 remove nil cons cons 400 ref 16389 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16388 remove nil cons cons 475 ref 16371 ref nil cons 16394 def cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 4349 ref 16371 ref appTerm 16395 def 16387 ref appTerm 16396 def appTerm 41 ref 698 ref 16371 ref appTerm 16397 def 13586 ref appTerm 16398 def appTerm 42 ref 17 ref 707 ref 14209 ref 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 187 ref 13043 ref 16371 ref appTerm appTerm 7329 ref appTerm appTerm appTerm appTerm 16399 def appTerm appTerm appTerm 13746 ref 16399 ref appTerm appTerm appTerm 129 ref 585 ref 16399 remove appTerm appTerm 14211 ref appTerm appTerm appTerm absTerm appTerm 16400 def appTerm 42 ref 16385 ref appTerm 42 ref 77 ref 13746 ref 16384 ref appTerm appTerm appTerm 42 ref 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 16384 remove appTerm 13137 ref appTerm appTerm 192 ref appTerm 16401 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 16401 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 4370 ref 738 ref 16376 ref appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm appTerm 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 14216 ref 16383 remove appTerm appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 16371 remove appTerm appTerm appTerm 16402 def appTerm 16403 def appTerm 16404 def appTerm 16405 def appTerm 16406 def nil cons cons 400 ref 16385 ref nil cons 16407 def cons nil cons 16408 def cons nil cons cons 459 ref subst proveHyp 1003 ref 42 ref 16395 ref 1011 ref appTerm appTerm 4362 ref 16387 ref appTerm appTerm absTerm 16409 def 16376 ref appTerm betaConv sym nil 1003 ref 16394 ref cons nil cons nil cons cons 16410 def 7677 ref subst nil 399 ref 16395 remove 16376 ref appTerm nil cons cons 400 ref 4349 ref 16376 ref appTerm 16387 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 1003 ref 16376 ref nil cons 16411 def cons nil cons nil cons cons 16412 def 7677 remove subst eqMp eqMp 162 ref 160 ref 16409 ref nil cons cons 475 ref 16411 remove cons nil cons 16413 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16409 remove appTerm nil cons cons 400 ref 16396 ref nil cons 16414 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 16387 ref nil cons 16415 def cons 1006 ref 16394 remove cons nil cons 16416 def cons nil cons cons 16417 def 14927 ref subst eqMp nil 399 ref 16414 remove cons 16418 def 400 ref 41 ref 16405 ref appTerm 16385 ref appTerm 16419 def nil cons cons nil cons 16420 def cons nil cons cons 467 ref subst proveHyp 1003 ref 42 ref 16397 ref 1011 ref appTerm appTerm 16421 def 14354 remove appTerm absTerm 16422 def 16387 ref appTerm betaConv sym 42 ref 16397 ref 16387 ref appTerm 16423 def appTerm refl nil 150 ref 698 ref 16387 ref appTerm 13586 ref appTerm 16424 def nil cons cons nil cons nil cons cons 155 ref subst 129 ref "_49570" 14 ref var 16425 def 698 ref 1285 ref 16425 remove varTerm appTerm appTerm 13586 ref appTerm absTerm 16426 def 14287 ref appTerm 16427 def appTerm refl 16426 ref 16376 ref appTerm betaConv appThm 439 ref 16427 remove betaConv appThm 16424 remove refl appThm trans 16426 remove refl 16386 remove appThm eqMp 14361 remove eqMp eqMp appThm nil 150 ref 16423 remove nil cons 16428 def cons nil cons nil cons cons 1105 ref subst trans sym 1003 ref 16421 remove 4352 ref 16387 ref appTerm appTerm absTerm 16429 def 16376 ref appTerm betaConv sym 16410 remove 12798 ref subst nil 399 ref 16397 remove 16376 ref appTerm nil cons cons 400 ref 698 ref 16376 remove appTerm 16387 remove appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 16412 remove 12798 remove subst eqMp eqMp 162 ref 160 ref 16429 ref nil cons cons 16413 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16429 remove appTerm nil cons cons 400 ref 16428 remove cons nil cons cons nil cons cons 459 ref subst proveHyp 16417 remove 4776 ref subst eqMp eqMp eqMp 162 ref 160 ref 16422 ref nil cons cons 475 ref 16415 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16422 remove appTerm nil cons cons 400 ref 16398 ref nil cons 16430 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14366 ref 16416 remove cons nil cons cons 4776 ref subst eqMp nil 399 ref 16430 remove cons 16431 def 400 ref 41 ref 16404 ref appTerm 16385 ref appTerm 16432 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 16404 remove nil cons 16433 def cons 16408 remove cons nil cons cons 16434 def 416 ref subst 16434 remove 467 ref subst nil 435 ref 16400 remove nil cons cons 437 ref 16403 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 16407 ref cons 437 ref 16402 remove nil cons cons nil cons cons nil cons cons 451 ref subst proveHyp eqMp nil 435 ref 16433 ref cons 437 ref 16407 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 16398 remove appTerm 16432 remove appTerm nil cons cons 16420 remove cons nil cons cons 459 ref subst proveHyp nil 1559 ref 16407 remove cons 16435 def 400 ref 16433 remove cons 16431 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp nil 399 ref 42 ref 16396 remove appTerm 16419 remove appTerm nil cons cons 400 ref 41 ref 16406 remove appTerm 16385 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 16435 remove 400 ref 16405 remove nil cons cons 16418 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 435 ref 16378 remove cons 437 ref 16358 ref cons nil cons 16436 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 16374 remove cons 16436 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 16366 ref 689 ref appTerm appTerm 16357 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 16367 remove appTerm 16357 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16366 remove nil cons cons 16436 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 16361 ref cons 16436 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 16368 ref cons 16363 remove cons nil cons cons 16437 def 416 ref subst 16437 remove 467 ref subst 13812 ref 7837 ref 14040 ref 4544 ref 14394 ref 16360 ref assume appThm 14400 ref trans appThm 3328 remove trans appThm appThm appThm sym 14194 ref nil 14392 ref 14403 remove cons nil cons cons 459 ref subst proveHyp 14393 ref 14184 ref refl appThm sym 14409 remove eqMp eqMp eqMp eqMp nil 16369 ref 16436 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 16360 remove appTerm 16438 def betaConv 1970 ref nil 1971 ref 400 ref 16438 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 16368 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 16369 remove 437 ref 16361 remove cons 1553 ref 16358 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 16236 ref 16351 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 16163 ref appTerm 16439 def betaConv 1970 ref nil 1971 ref 400 ref 16439 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 16235 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 16440 def nil 16236 ref 437 ref 16223 remove cons 16441 def 1553 ref 16227 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 14087 ref 437 ref 16220 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 14088 ref 437 ref 16214 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp eqMp eqMp nil 435 ref 16166 remove cons 16442 def 437 ref 16168 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 16143 remove nil cons cons 400 ref 16157 remove cons nil cons cons nil cons cons 467 ref subst proveHyp 1131 ref 1368 ref 3190 ref 729 ref refl 16443 def nil 2073 ref 16176 ref cons nil cons cons 1169 ref subst nil 14046 ref 16178 ref cons nil cons cons 1169 ref subst trans 7837 ref nil 14046 ref 16179 ref cons nil cons cons 1169 ref subst 14040 ref nil 14046 ref 16181 ref cons nil cons cons 1169 ref subst 4544 ref 16013 ref 13647 ref appThm appThm trans appThm trans appThm trans appThm appThm appThm 1211 ref appThm appThm 12025 ref appThm sym 6344 ref nil 14055 ref 16181 ref cons nil cons cons 2078 ref subst 1368 ref 4544 ref 16206 ref appThm appThm 12917 ref refl 16444 def appThm trans appThm 9290 ref appThm sym 6344 ref nil 13638 ref 1006 ref 2714 ref 16208 remove appTerm nil cons cons nil cons cons nil cons cons 1210 ref subst appThm 9290 ref appThm sym 6344 ref 14040 ref 4544 ref 16334 remove appThm appThm appThm 9290 remove appThm sym 129 ref "_49738" 14 ref var 16445 def 4349 ref 16068 remove appTerm 16446 def 16445 remove varTerm appTerm absTerm 16447 def 1017 ref appTerm 16448 def appTerm refl 16447 ref 13923 ref appTerm betaConv appThm 439 ref 16448 remove betaConv appThm 16446 remove 13923 ref appTerm refl appThm trans 16447 remove refl 13928 ref appThm eqMp sym nil 14533 ref 16179 ref cons nil cons cons 1116 ref 129 ref 4349 ref 1134 ref appTerm 1118 remove appTerm appTerm 5993 ref appTerm absTerm 16449 def 1117 ref appTerm 16450 def betaConv 1003 ref 17 ref 16449 ref appTerm 16451 def absTerm 16452 def 1011 ref appTerm 16453 def betaConv 1006 ref 17 ref 16452 ref appTerm 16454 def absTerm 16455 def 1009 ref appTerm 16456 def betaConv nil 17 ref 16455 ref appTerm 16457 def axiom nil 399 ref 16457 remove nil cons cons 400 ref 16456 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16455 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16454 remove nil cons cons 400 ref 16453 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16452 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16451 remove nil cons cons 400 ref 16450 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16449 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 16458 def subst nil 14538 ref 16181 ref cons nil cons cons 16458 ref subst trans sym 4349 ref 14325 ref appTerm 16459 def refl 14575 ref appThm sym 1003 ref 42 ref 698 ref 14325 remove appTerm 16460 def 1011 ref appTerm appTerm 4362 ref 14547 ref 12928 ref appTerm 16461 def appTerm appTerm absTerm 16462 def 14546 ref appTerm betaConv sym nil 14366 ref 15127 remove cons nil cons cons 6066 ref subst sym 14368 ref nil 435 ref 14557 remove cons 437 ref 14365 remove cons nil cons cons nil cons cons 6106 ref subst proveHyp eqMp nil 399 ref 16460 remove 14546 ref appTerm nil cons cons 400 ref 4349 ref 14546 ref appTerm 16461 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 14589 ref 14577 remove cons nil cons cons 14601 ref subst nil 14589 ref nil cons nil cons cons 14605 ref subst trans 15324 ref trans sym 154 ref eqMp eqMp eqMp 162 ref 160 ref 16462 ref nil cons cons 475 ref 14549 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16462 remove appTerm nil cons cons 400 ref 16459 remove 16461 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 16461 remove nil cons cons 16011 ref cons nil cons cons 1116 ref 41 ref 167 ref 1003 ref 4421 remove 5993 ref appTerm 16463 def absTerm 16464 def appTerm 16465 def appTerm 16466 def 4560 ref appTerm 16467 def absTerm 16468 def 1117 ref appTerm 16469 def betaConv 1006 ref 17 ref 16468 ref appTerm 16470 def absTerm 16471 def 1009 ref appTerm 16472 def betaConv nil 17 ref 1006 ref 17 ref 1003 ref 17 ref 1116 ref 41 ref 16463 ref appTerm 4560 ref appTerm absTerm 16473 def appTerm 16474 def absTerm 16475 def appTerm 16476 def absTerm 16477 def appTerm 16478 def axiom nil 399 ref 16478 ref nil cons 16479 def cons 16480 def 400 ref 17 ref 16471 ref appTerm nil cons 16481 def cons nil cons cons nil cons cons 16482 def 459 ref subst proveHyp 16482 ref 416 ref subst 16482 remove 467 ref subst nil 160 ref 16471 remove nil cons cons 16483 def nil cons nil cons cons 164 ref subst 1006 ref nil 150 ref 16470 remove nil cons 16484 def cons nil cons nil cons cons 155 ref subst nil 160 ref 16468 remove nil cons cons 16485 def nil cons nil cons cons 164 ref subst 1116 ref nil 150 ref 16467 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 16465 remove nil cons 16486 def cons 16487 def 4583 ref cons nil cons cons 16488 def 416 ref subst 16488 remove 467 ref subst nil 16480 ref 4583 ref cons nil cons cons 16489 def 459 ref subst nil 16487 remove 400 ref 41 ref 16478 remove appTerm 4560 remove appTerm 16490 def nil cons 16491 def cons nil cons 16492 def cons nil cons cons 459 ref subst nil 160 ref 1003 ref 41 ref 16464 ref 1011 ref appTerm 16493 def appTerm 16490 ref appTerm 16494 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 1003 ref nil 150 ref 16494 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 16493 ref nil cons 16495 def cons 16492 ref cons nil cons cons 16496 def 416 ref subst 16496 remove 467 ref subst 16493 ref betaConv 16493 remove assume eqMp nil 399 ref 16463 remove nil cons 16497 def cons 16498 def 16492 remove cons nil cons cons 16499 def 459 ref subst proveHyp 16499 ref 416 ref subst 16499 remove 467 ref subst 16489 ref 416 ref subst 16489 remove 467 ref subst nil 16498 remove 4583 remove cons nil cons cons 459 ref subst 16473 ref 1117 ref appTerm 16500 def betaConv 16475 ref 1011 ref appTerm 16501 def betaConv 16477 ref 1009 ref appTerm 16502 def betaConv nil 16480 remove 400 ref 16502 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 16477 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16476 remove nil cons cons 400 ref 16501 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16475 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16474 remove nil cons cons 400 ref 16500 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16473 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 16479 remove cons 16503 def 4600 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 16497 remove cons 437 ref 16491 remove cons nil cons 16504 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 16495 remove cons 16504 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 16464 ref 689 ref appTerm appTerm 16490 ref appTerm absTerm appTerm nil cons cons 400 ref 16466 remove 16490 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16464 remove nil cons cons 16504 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 16486 remove cons 4600 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 16503 remove 437 ref 16481 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 16481 remove cons 400 ref 16472 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 16483 remove 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16484 remove cons 400 ref 16469 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 16485 remove 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 16505 def subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 399 ref 4349 ref 2714 ref 14326 ref 12917 ref appTerm appTerm 16506 def appTerm 1017 ref appTerm nil cons cons 400 ref 180 ref 187 ref 726 ref 729 ref 713 ref 12941 ref 16506 ref appTerm appTerm appTerm appTerm appTerm 736 ref appTerm appTerm 742 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 707 ref 16506 remove nil cons cons nil cons nil cons cons 12966 ref 708 ref appTerm 16507 def betaConv nil 399 ref 13321 remove cons 400 ref 16507 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 12966 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 16508 def subst eqMp eqMp eqMp eqMp eqMp nil 399 ref 16146 ref nil cons cons 16509 def 400 ref 41 ref 16150 ref appTerm 16052 ref appTerm 16510 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 439 ref 14945 ref nil 1116 ref 16140 ref cons 16511 def 16173 remove cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 16056 ref appTerm 16512 def nil cons cons 16513 def 16176 remove cons nil cons cons 1169 ref subst nil 1116 ref 14043 ref 16512 ref appTerm nil cons cons 16514 def 16178 remove cons nil cons cons 1169 ref subst trans trans 7837 ref nil 16514 ref 16179 remove cons nil cons cons 1169 ref subst 14040 ref nil 16514 ref 16181 remove cons nil cons cons 1169 ref subst 4544 ref 16013 ref nil 16513 ref 13643 ref cons nil cons cons 1169 ref subst 16515 def appThm appThm trans appThm trans appThm trans appThm appThm 16149 ref refl 16516 def appThm appThm 620 ref 14945 ref 7837 ref 14040 ref 4544 ref 16013 ref 16308 remove nil 16511 ref 1003 ref 15059 ref cons 16517 def 1008 ref cons 16518 def cons nil cons cons 1169 ref subst 16519 def trans 747 ref refl 16520 def nil 16511 ref 1237 ref 12079 ref cons 16521 def cons nil cons cons 1169 ref subst 16522 def appThm 16523 def trans appThm appThm appThm appThm appThm appThm appThm sym nil 399 ref 129 ref 585 ref 713 ref 12941 ref 2714 ref 14326 ref 747 ref 11906 ref 16512 ref appTerm 16524 def appTerm 16525 def appTerm appTerm appTerm appTerm appTerm 16526 def appTerm 16149 ref appTerm 16527 def nil cons 16528 def cons 400 ref 77 ref 16526 ref appTerm nil cons 16529 def cons nil cons cons nil cons cons 16530 def 416 ref subst 16530 remove 467 ref subst 129 ref "_49426" 2 ref var 16531 def 77 ref 16531 remove varTerm appTerm absTerm 16532 def 16526 remove appTerm 16533 def appTerm refl 16532 remove 16149 ref appTerm betaConv appThm 439 ref 16533 remove betaConv appThm 77 ref 16149 ref appTerm refl appThm trans 15794 remove 16527 remove assume appThm eqMp sym 620 ref nil 1878 ref 12183 ref cons 475 ref 16147 ref nil cons 16534 def cons nil cons cons nil cons cons 163 ref 13057 ref subst subst appThm sym nil 1116 ref 16534 ref cons 12184 remove nil cons cons nil cons cons 1116 ref 129 ref 5993 ref appTerm 16535 def 4349 ref 1083 ref 12915 ref appTerm appTerm 1696 remove 12915 ref appTerm appTerm 16536 def appTerm 16537 def absTerm 16538 def 1117 ref appTerm 16539 def betaConv 1003 ref 17 ref 16538 ref appTerm 16540 def absTerm 16541 def 1011 ref appTerm 16542 def betaConv 603 ref 1003 ref 603 ref 1116 ref 16537 remove assume sym 129 ref 16536 remove appTerm 5993 ref appTerm assume sym deductAntisym absThm appThm absThm appThm 6000 remove 12915 ref appTerm 16543 def betaConv 6003 remove nil 6004 remove 400 ref 16543 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 6005 remove 475 ref 15059 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp nil 399 ref 17 ref 16541 ref appTerm nil cons cons 400 ref 16542 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16541 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16540 remove nil cons cons 400 ref 16539 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16538 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst sym 1131 ref nil 16204 ref 16291 ref 1008 ref cons 16544 def cons nil cons cons 1169 ref subst appThm 16519 remove 16523 remove trans appThm nil 1116 ref 16524 ref nil cons cons 1003 ref 187 ref 16056 ref appTerm 16545 def 12915 ref appTerm nil cons cons 1008 remove cons cons nil cons cons 1192 ref subst trans sym 1131 ref nil 16517 remove 1006 ref 16140 ref cons nil cons 16546 def cons nil cons cons 1210 ref subst appThm 16524 remove refl appThm sym 16522 remove eqMp eqMp 129 ref "_49428" 14 ref var 16547 def 4349 ref 187 ref 751 ref appTerm 12915 ref appTerm appTerm 16548 def 16547 remove varTerm appTerm absTerm 16549 def 187 ref 16147 ref appTerm 12915 remove appTerm 16550 def appTerm 16551 def appTerm refl 16549 ref 16061 ref appTerm betaConv 16552 def appThm 439 ref 16551 remove betaConv appThm 16548 ref 16061 ref appTerm refl appThm trans 16549 remove refl 16553 def 180 ref 16550 remove appTerm 16061 ref appTerm assume appThm eqMp sym 129 ref "_49430" 14 ref var 16554 def 16548 ref 16554 remove varTerm appTerm absTerm 16555 def 16061 remove appTerm appTerm refl 16555 remove 16047 ref appTerm betaConv appThm 439 ref 16552 remove appThm 16548 remove 16047 remove appTerm refl appThm trans 16553 remove 16309 remove appThm eqMp sym 6344 ref nil 2073 ref 12476 ref 1006 ref 12183 remove cons nil cons 16556 def cons cons nil cons cons 2078 ref subst 1368 ref 1368 ref 2099 ref appThm 15062 ref appThm appThm 2100 ref appThm trans appThm 16026 remove appThm nil 16029 remove 2719 ref 1003 ref 187 ref 2104 ref appTerm 69 ref appTerm nil cons cons nil cons cons cons nil cons cons 6006 ref subst trans sym 6344 ref nil 12058 ref 1171 ref 12214 remove cons cons nil cons cons 1169 ref subst nil 1116 ref 1173 ref 69 ref appTerm 16557 def nil cons 16558 def cons 2096 remove cons nil cons cons 1169 ref subst nil 1116 ref 189 ref 16557 ref appTerm 16559 def nil cons 16560 def cons 2089 ref cons nil cons cons 1169 ref subst nil 1116 ref 701 ref 16559 ref appTerm 16561 def nil cons 16562 def cons 2082 ref cons nil cons cons 1169 ref subst trans trans trans appThm 16039 remove appThm nil 16040 remove 1003 ref 700 ref 16561 remove appTerm nil cons cons 1221 ref cons cons nil cons cons 16458 ref subst nil 16038 remove 1003 ref 16562 remove cons 1227 ref cons cons nil cons cons 16458 ref subst nil 16036 remove 1003 ref 16560 remove cons 1233 ref cons cons nil cons cons 16458 ref subst trans trans trans sym 4349 ref 16559 remove appTerm refl 16041 remove appThm sym 6344 ref nil 12058 ref 12190 ref cons nil cons cons 2078 ref subst appThm 1368 ref 16043 remove 1368 ref 1243 ref 9061 remove sym appThm nil 1219 remove 12190 ref cons nil cons cons 2078 ref subst trans appThm 7652 ref appThm trans appThm 15062 ref appThm appThm nil 1116 ref 187 ref 4864 ref 207 ref appTerm appTerm 708 ref appTerm nil cons cons 12078 ref 12188 ref nil cons cons cons nil cons cons 6006 ref subst trans sym 4349 ref 208 ref appTerm refl nil 7790 ref 1171 ref 6225 remove cons cons nil cons cons 1169 ref subst nil 1116 ref 1173 ref 708 ref appTerm 16563 def nil cons 16564 def cons 12190 ref cons nil cons cons 1169 ref subst trans appThm nil 1116 ref 1173 ref 16563 remove appTerm nil cons cons 12190 ref cons nil cons cons 16458 ref subst nil 1003 ref 16564 remove cons 16565 def 1215 ref cons nil cons cons 14601 ref subst nil 16565 remove nil cons nil cons cons 14605 ref subst trans trans trans sym 620 ref nil 7670 ref 1215 ref cons nil cons cons 6617 ref subst 6372 remove 14029 ref appThm nil 150 ref 14161 remove cons nil cons nil cons cons 1506 ref subst trans trans appThm 1507 ref trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp proveHyp eqMp nil 399 ref 4349 ref 751 ref appTerm 16147 ref appTerm nil cons cons 400 ref 77 ref 180 ref 751 remove appTerm 16147 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1003 ref 16534 ref cons 16556 remove cons nil cons cons 14987 remove subst eqMp eqMp eqMp eqMp nil 435 ref 16528 remove cons 437 ref 16529 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 399 ref 42 ref 16146 remove appTerm 16510 remove appTerm nil cons cons 400 ref 41 ref 16151 remove appTerm 16052 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 16053 ref cons 400 ref 16150 remove nil cons cons 16509 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp nil 435 ref 16063 remove cons 437 ref 16053 remove cons nil cons 16566 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 16059 remove cons 16566 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 16050 ref 689 ref appTerm appTerm 16052 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 16051 remove appTerm 16052 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16050 remove nil cons cons 16566 remove cons nil cons cons 688 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 14383 ref 437 ref 15994 ref cons nil cons 16567 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 14385 ref 16567 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 14386 ref 15993 ref appTerm absTerm appTerm nil cons cons 400 ref 14387 ref 15993 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14388 ref 16567 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 14389 ref 16567 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 14390 ref 15995 remove cons nil cons cons 16568 def 416 ref subst 16568 remove 467 ref subst 16003 remove "_49130" 14 ref var 16569 def 77 ref 585 ref 713 ref 12941 ref 2714 ref 187 ref 13043 ref 16569 remove varTerm appTerm appTerm 7329 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 191 ref appTerm betaConv appThm 16004 remove 77 ref 585 ref 713 ref 12941 ref 2714 ref 187 ref 15842 remove appTerm 16570 def 7329 ref appTerm appTerm appTerm appTerm 16571 def appTerm 16572 def appTerm refl appThm trans 16007 remove 14395 ref appThm eqMp sym 620 ref 14945 ref 7837 ref 14040 ref 4544 ref 1368 ref 14400 remove appThm 16573 def 7712 remove appThm nil 8782 ref nil cons nil cons cons 1264 ref subst trans appThm appThm appThm appThm appThm sym 42 ref 13973 ref 713 ref 12941 ref 8810 ref appTerm 16574 def appTerm 16575 def appTerm 16576 def appTerm 16577 def refl 15855 ref appThm nil 150 ref 16576 remove nil cons cons nil cons nil cons cons 1105 ref subst trans sym 180 ref 16575 ref appTerm 16578 def refl nil 2073 ref 13641 ref 1006 ref 713 ref 8838 remove 192 ref appTerm 16579 def appTerm 16580 def nil cons 16581 def cons nil cons cons cons nil cons cons 1169 ref subst nil 14046 ref 1003 ref 16579 ref nil cons 16582 def cons 16583 def 7786 ref cons cons nil cons cons 1169 ref subst trans 7837 ref nil 14046 ref 1237 ref 8835 remove cons 16584 def cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 14044 ref appTerm nil cons cons 8783 ref cons nil cons cons 1169 ref subst trans 14051 ref 4544 ref 15858 remove appThm appThm trans appThm trans appThm nil 1116 ref 7328 ref 2714 ref 15859 remove appTerm appTerm 16585 def nil cons cons 1003 ref 16574 remove nil cons cons 7786 ref cons cons nil cons cons 1192 ref subst trans sym 1131 ref nil 1003 ref 8812 ref cons 13635 ref cons nil cons cons 1210 ref subst appThm 16585 ref refl appThm sym 129 ref "_49276" 14 ref var 16586 def 180 ref 187 ref 8810 remove appTerm 16587 def 16586 remove varTerm appTerm appTerm 16585 ref appTerm absTerm 16588 def 12917 ref appTerm 16589 def appTerm refl 16588 ref 12916 ref appTerm betaConv appThm 439 ref 16589 remove betaConv appThm 180 ref 16587 ref 12916 ref appTerm appTerm 16585 remove appTerm refl appThm trans 16588 remove refl 15055 ref appThm eqMp sym 1131 ref nil 16204 ref 1213 ref 1006 ref 8812 remove cons nil cons cons cons nil cons cons 2078 ref subst nil 2073 ref 12476 ref 1006 ref 16587 remove 68 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans 1368 ref 1368 ref 1368 ref nil 2073 ref 14050 ref cons nil cons cons 2078 ref subst appThm 16207 ref appThm appThm 15062 ref appThm appThm 2100 ref appThm trans appThm nil 15860 remove 8783 remove cons nil cons cons 2078 ref subst nil 16201 ref 16584 remove cons nil cons cons 2078 ref subst nil 16204 ref 1213 ref 1006 ref 16582 remove cons nil cons cons cons nil cons cons 2078 ref subst nil 2073 ref 12476 ref 1006 ref 187 ref 16579 remove appTerm 68 ref appTerm 16590 def nil cons 16591 def cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans appThm nil 1003 ref 187 ref 16590 remove appTerm 69 ref appTerm nil cons cons 2073 ref 1006 ref 187 ref 187 ref 14053 remove 192 ref appTerm 16592 def appTerm 68 ref appTerm 16593 def appTerm 69 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 16591 remove cons 12058 ref 1006 ref 16593 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 16583 remove 1132 ref 1006 ref 16592 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 8782 remove 2073 ref 1006 ref 14048 ref cons nil cons cons cons nil cons cons 2889 ref subst trans trans trans trans sym nil 14050 remove nil cons cons 1210 ref subst eqMp eqMp eqMp eqMp 129 ref "_49274" 14 ref var 16594 def 13973 ref 16594 remove varTerm appTerm absTerm 16595 def 16575 ref appTerm 16596 def appTerm refl 16595 remove 187 ref 187 ref 16580 ref appTerm 13137 ref appTerm 16597 def appTerm 192 ref appTerm 16598 def appTerm betaConv appThm 439 ref 16596 remove betaConv appThm 13973 ref 16598 ref appTerm 16599 def refl 16600 def appThm trans 15873 remove 16578 remove 16598 remove appTerm assume appThm eqMp sym 14068 ref nil 14070 ref 400 ref 16599 remove nil cons 16601 def cons nil cons 16602 def cons nil cons cons 459 ref subst proveHyp 14073 ref 16600 remove appThm sym nil 14076 ref 16602 remove cons nil cons cons 16603 def 416 ref subst 16603 remove 467 ref subst nil 38 ref 16597 ref nil cons cons nil cons nil cons cons 14080 ref subst sym 13729 ref nil 13731 ref 400 ref 13656 ref 16597 remove appTerm 16604 def nil cons 16605 def cons nil cons 16606 def cons nil cons cons 459 ref subst proveHyp 13737 ref 16604 remove refl appThm sym nil 13740 ref 16606 remove cons nil cons cons 16607 def 416 ref subst 16607 remove 467 ref subst nil 38 ref 16581 remove cons nil cons nil cons cons 13744 ref subst sym 13806 remove 7329 ref appTerm 16608 def betaConv nil 14192 remove 400 ref 16608 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 13807 remove 475 ref 7654 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 698 ref 7329 ref appTerm 12917 ref appTerm 16609 def appTerm 42 ref 13720 ref 16580 ref appTerm 16610 def appTerm 13746 ref 16580 remove appTerm 16611 def appTerm 16612 def appTerm 16613 def nil cons cons 400 ref 16610 ref nil cons 16614 def cons nil cons 16615 def cons nil cons cons 459 ref subst proveHyp 16320 remove 16444 ref appThm nil 13639 remove nil cons cons 16616 def 15655 ref subst trans sym 1003 ref 8750 remove 4352 ref 12917 ref appTerm appTerm absTerm 16617 def 13137 ref appTerm betaConv sym 129 ref "_49278" 14 ref var 16618 def 42 ref 15971 remove appTerm 16619 def 15965 ref 16618 remove varTerm appTerm appTerm absTerm 16620 def 12917 ref appTerm 16621 def appTerm refl 16620 ref 12916 ref appTerm betaConv appThm 439 ref 16621 remove betaConv appThm 16619 remove 15965 ref 12916 ref appTerm appTerm refl appThm trans 16620 remove refl 15055 ref appThm eqMp sym 15976 remove 15965 remove refl 16014 remove appThm nil 16188 ref nil cons cons 6133 ref subst trans appThm 634 ref trans sym 154 ref eqMp eqMp eqMp 162 ref 160 ref 16617 ref nil cons cons 13728 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16617 remove appTerm nil cons cons 400 ref 7658 ref 12917 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14055 ref 7647 ref cons nil cons cons 4602 ref subst eqMp eqMp nil 399 ref 16609 ref nil cons cons 16622 def 400 ref 41 ref 16612 ref appTerm 16610 ref appTerm 16623 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 16612 remove nil cons 16624 def cons 16615 remove cons nil cons cons 16625 def 416 ref subst 16625 remove 467 ref subst nil 435 ref 16614 ref cons 437 ref 16611 remove nil cons cons nil cons cons nil cons cons 451 ref subst eqMp nil 435 ref 16624 ref cons 437 ref 16614 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 16609 remove appTerm 16623 remove appTerm nil cons cons 400 ref 41 ref 16613 remove appTerm 16610 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 16614 remove cons 400 ref 16624 remove cons 16622 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 14087 ref 437 ref 16605 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14088 ref 437 ref 16601 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 399 ref 16577 remove 13167 ref appTerm nil cons cons 400 ref 77 ref 585 ref 16575 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 38 ref 16575 remove nil cons cons nil cons nil cons cons 15954 remove subst eqMp eqMp eqMp eqMp nil 14284 ref 16567 remove cons nil cons cons 451 ref subst deductAntisym eqMp 14411 ref nil 14284 ref 14412 ref 1553 ref 15994 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp proveHyp eqMp nil 435 ref 15968 ref cons 437 ref 15963 ref cons nil cons 16626 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 15966 ref nil cons 16627 def cons 15964 ref cons nil cons cons 16628 def 416 ref subst 16628 remove 467 ref subst 15974 remove 1028 ref subst 15966 ref assume eqMp nil 399 ref 167 ref 1014 ref 717 ref 14043 ref 1017 ref appTerm appTerm absTerm 16629 def appTerm 16630 def nil cons cons 15964 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 16055 ref 41 ref 16629 ref 16056 ref appTerm 16631 def appTerm 14231 ref appTerm 16632 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 16055 ref nil 150 ref 16632 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 16631 ref nil cons 16633 def cons 15964 ref cons nil cons cons 16634 def 416 ref subst 16634 remove 467 ref subst 16631 ref betaConv 16631 remove assume eqMp nil 399 ref 717 ref 14043 ref 16056 ref appTerm 16635 def appTerm 16636 def nil cons 16637 def cons 15964 remove cons nil cons cons 16638 def 459 ref subst proveHyp 16638 ref 416 ref subst 16638 remove 467 ref subst 129 ref "_48824" 14 ref var 16639 def 129 ref 585 ref 713 ref 12941 ref 2714 ref 14221 ref 187 ref 16639 remove varTerm 16640 def appTerm 192 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm 180 ref 16640 remove appTerm 11910 ref appTerm appTerm absTerm 16641 def 708 ref appTerm 16642 def appTerm refl 16641 ref 16635 ref appTerm betaConv appThm 439 ref 16642 remove betaConv appThm 129 ref 585 ref 713 ref 12941 ref 2714 ref 14221 ref 187 ref 16635 ref appTerm 192 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm 180 ref 16635 ref appTerm 11910 ref appTerm appTerm 16643 def refl appThm trans 16641 remove refl 16636 remove assume 16644 def appThm eqMp sym 695 remove 41 ref 16066 ref 706 ref 42 ref 17 ref 707 ref 712 remove 129 ref 13973 ref 187 ref 187 ref 187 ref 14272 ref appTerm 13137 ref appTerm 16645 def appTerm 192 ref appTerm 16646 def appTerm 16647 def 708 ref appTerm 16648 def appTerm appTerm 718 ref appTerm 16649 def appTerm absTerm appTerm appTerm 42 ref 180 ref 187 ref 726 ref 729 ref 16646 ref appTerm appTerm appTerm 736 ref appTerm appTerm 742 ref appTerm 16650 def appTerm 16651 def 13167 ref appTerm 16652 def appTerm appTerm appTerm appTerm 129 ref 585 ref 16647 ref 710 ref appTerm appTerm appTerm 752 remove appTerm appTerm absTerm 16653 def 16056 ref appTerm 16654 def betaConv 16081 remove 16646 ref appTerm 16655 def betaConv 16137 remove nil 16138 remove 400 ref 16655 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 16139 remove 475 ref 16646 ref nil cons cons nil cons 16656 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 16653 ref appTerm nil cons cons 400 ref 16654 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16653 remove nil cons cons 16141 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 16066 ref 706 ref 42 ref 17 ref 707 ref 16142 remove 16649 ref appTerm absTerm appTerm 16657 def appTerm 16658 def 16652 remove appTerm appTerm 16659 def appTerm 16660 def appTerm 129 ref 585 ref 16647 ref 16056 ref appTerm appTerm appTerm 16149 ref appTerm 16661 def appTerm 16662 def nil cons cons 400 ref 16643 ref nil cons 16663 def cons nil cons cons nil cons cons 459 ref subst proveHyp 16155 ref nil 16156 ref 400 ref 16659 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 12024 ref 16658 ref refl 16651 ref refl 16664 def 15855 ref appThm nil 150 ref 16650 ref nil cons 16665 def cons nil cons nil cons cons 1105 ref subst trans appThm appThm nil 150 ref 16658 remove 16650 ref appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym nil 160 ref 16158 ref 16161 remove 129 ref 13973 ref 16647 ref 16159 ref appTerm appTerm appTerm 16163 ref appTerm 16666 def appTerm 16667 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 16158 remove nil 150 ref 16667 remove nil cons cons nil cons nil cons cons 155 ref subst nil 16167 remove 400 ref 16666 remove nil cons 16668 def cons nil cons cons nil cons cons 16669 def 416 ref subst 16669 remove 467 ref subst 439 ref 16170 ref nil 16172 ref 1237 ref 1006 ref 16645 remove nil cons cons nil cons cons 16670 def cons nil cons cons 1169 ref subst nil 16175 remove 13641 ref 1006 ref 14272 remove nil cons cons nil cons 16671 def cons 16672 def cons nil cons cons 1169 ref subst nil 16177 ref 1003 ref 14271 remove nil cons cons 7786 ref cons 16673 def cons nil cons cons 1169 ref subst trans trans 7837 ref nil 16177 ref 1003 ref 14270 ref nil cons 16674 def cons 13635 ref cons 16675 def cons nil cons cons 1169 ref subst 14040 ref nil 16177 remove 14431 ref 4159 ref cons 16676 def cons nil cons cons 1169 ref subst 4544 ref 14940 ref 16183 remove appThm appThm trans appThm trans appThm trans appThm appThm 16184 ref appThm sym 16192 remove 129 ref "_48976" 14 ref var 16677 def 129 ref 13973 ref 713 ref 12941 ref 2714 ref 14221 ref 16677 remove varTerm appTerm appTerm appTerm appTerm appTerm appTerm 16163 ref appTerm absTerm 16678 def 16185 remove appTerm 16679 def appTerm refl 16678 ref 16196 ref appTerm betaConv appThm 439 ref 16679 remove betaConv appThm 129 ref 13973 ref 713 ref 12941 ref 2714 ref 14221 ref 16196 remove appTerm 16680 def appTerm 16681 def appTerm appTerm appTerm appTerm 16163 ref appTerm refl appThm trans 16678 remove refl 16199 remove appThm eqMp sym 439 ref 16170 ref nil 1116 ref 16681 remove nil cons cons 14427 ref cons nil cons cons 2078 ref subst nil 1116 ref 16680 remove nil cons cons 14429 ref cons nil cons cons 2078 ref subst nil 16200 remove 14434 ref cons nil cons cons 2078 ref subst nil 16201 ref 16202 remove 14437 remove cons cons nil cons cons 2078 ref subst nil 16204 ref 1213 ref 1006 ref 187 ref 14436 remove appTerm 16682 def 16159 ref appTerm 16683 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 2073 ref 12476 ref 1006 ref 187 ref 16683 remove appTerm 68 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans trans trans 1368 ref 1368 ref 1368 ref 14458 remove 16190 remove appThm appThm 16207 ref appThm appThm 15062 ref appThm appThm 2100 ref appThm trans appThm appThm 16184 ref appThm sym 14068 ref nil 14070 ref 400 ref 129 ref 13973 ref 187 ref 187 ref 187 ref 14467 ref 16159 ref appTerm 16684 def appTerm 16685 def 68 ref appTerm appTerm 69 ref appTerm 16686 def appTerm 192 ref appTerm appTerm appTerm 16163 ref appTerm 16687 def nil cons 16688 def cons nil cons 16689 def cons nil cons cons 459 ref subst proveHyp 14073 ref 16687 remove refl appThm sym nil 14076 ref 16689 remove cons nil cons cons 16690 def 416 ref subst 16690 remove 467 ref subst 439 ref nil 38 ref 16686 remove nil cons cons nil cons nil cons cons 14080 ref subst appThm 16184 ref appThm sym 439 ref 16217 remove nil 12058 ref 1213 ref 1006 ref 16684 ref nil cons 16691 def cons nil cons cons cons nil cons cons 1169 ref subst appThm appThm 16184 ref appThm sym 13729 ref nil 13731 ref 400 ref 129 ref 13656 ref 16685 remove 13137 ref appTerm appTerm appTerm 16163 ref appTerm 16692 def nil cons 16693 def cons nil cons 16694 def cons nil cons cons 459 ref subst proveHyp 13737 ref 16692 remove refl appThm sym nil 13740 ref 16694 remove cons nil cons cons 16695 def 416 ref subst 16695 remove 467 ref subst 439 ref nil 38 ref 16691 remove cons nil cons nil cons cons 13744 ref subst appThm 16184 remove appThm sym nil 16224 remove 400 ref 129 ref 13720 ref 16684 remove appTerm 16696 def appTerm 16697 def 16163 remove appTerm nil cons 16698 def cons nil cons 16699 def cons nil cons cons 16700 def 416 ref subst 16700 remove 467 ref subst 16231 remove nil 16234 remove 16699 ref cons nil cons cons 459 ref subst proveHyp 16238 remove 16697 remove refl 16237 remove appThm nil 150 ref 16696 ref nil cons cons nil cons nil cons cons 4418 ref subst trans appThm sym nil 160 ref 16239 ref 16242 remove 77 ref 16696 remove appTerm 16701 def appTerm 16702 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 16239 remove nil 150 ref 16702 remove nil cons cons nil cons nil cons cons 155 ref subst nil 16246 remove 400 ref 16701 ref nil cons 16703 def cons nil cons 16704 def cons nil cons cons 16705 def 416 ref subst 16705 remove 467 ref subst 16250 remove nil 16254 remove 16704 remove cons nil cons cons 16706 def 459 ref subst proveHyp 16706 ref 416 ref subst 16706 remove 467 ref subst 129 ref "_48978" 14 ref var 16707 def 77 ref 13720 ref 14467 ref 16707 remove varTerm appTerm appTerm appTerm absTerm 16708 def 16159 ref appTerm 16709 def appTerm refl 16708 ref 16251 ref appTerm betaConv appThm 439 ref 16709 remove betaConv appThm 77 ref 13720 ref 14467 ref 16251 ref appTerm appTerm appTerm 16710 def refl 16711 def appThm trans 16708 remove refl 16260 remove appThm eqMp sym 1006 ref 41 ref 4459 ref 16635 ref appTerm appTerm 14415 ref appTerm absTerm 16712 def 16240 remove appTerm 16713 def betaConv 14841 remove "_48962" 14 ref var 16714 def 17 ref 1006 ref 41 ref 4459 remove 16714 remove varTerm appTerm appTerm 14415 remove appTerm absTerm appTerm absTerm 16635 ref appTerm betaConv appThm 14842 remove 17 ref 16712 ref appTerm 16715 def refl appThm trans 14844 remove 16644 ref appThm eqMp 14845 remove eqMp nil 399 ref 16715 remove nil cons cons 400 ref 16713 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16712 remove nil cons cons 16274 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 16275 remove 16635 ref appTerm 16716 def appTerm 16277 remove 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14221 ref 16278 remove appTerm appTerm appTerm appTerm 16717 def appTerm 16718 def appTerm 16719 def appTerm 13746 ref 16717 ref appTerm 16720 def appTerm 16721 def appTerm 129 ref 585 ref 16717 remove appTerm appTerm 16284 remove appTerm 16722 def appTerm 16723 def appTerm 16724 def appTerm nil cons cons 400 ref 16710 ref nil cons 16725 def cons nil cons 16726 def cons nil cons cons 459 ref subst proveHyp 1003 ref 16288 ref 4352 ref 16635 ref appTerm appTerm absTerm 16727 def 16056 ref appTerm betaConv sym 16297 remove nil 15972 remove 16299 ref cons nil cons cons 4727 remove subst appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 16727 ref nil cons cons 16141 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16727 remove appTerm nil cons cons 400 ref 16716 ref nil cons 16728 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 16635 ref nil cons 16729 def cons 16292 remove cons nil cons cons 4602 ref subst eqMp 165 ref 165 ref nil 150 ref 16728 remove cons nil cons nil cons cons 155 ref subst 16716 remove assume eqMp 16730 def appThm 16724 ref refl appThm nil 150 ref 16724 ref nil cons cons nil cons nil cons cons 614 ref subst trans appThm 16711 remove appThm sym 1003 ref 16288 remove 14868 remove appTerm absTerm 16731 def 16635 ref appTerm betaConv sym 625 ref 16730 remove appThm nil 150 ref 4349 ref 16635 ref appTerm 11919 ref appTerm 16732 def nil cons cons nil cons nil cons cons 155 ref subst 14875 remove "_48964" 14 ref var 16733 def 4349 ref 16733 remove varTerm appTerm 11919 ref appTerm absTerm 16635 remove appTerm betaConv appThm 14876 remove 16732 remove refl appThm trans 14877 remove 16644 remove appThm eqMp 14581 remove eqMp eqMp appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 16731 ref nil cons cons 475 ref 16729 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16731 remove appTerm nil cons cons 16322 remove cons nil cons cons 459 ref subst proveHyp 16323 remove 14927 remove subst eqMp nil 16324 remove 400 ref 41 ref 16723 ref appTerm 16710 ref appTerm 16734 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 16723 remove nil cons 16735 def cons 16726 remove cons nil cons cons 16736 def 416 ref subst 16736 remove 467 ref subst nil 435 ref 16721 remove nil cons cons 437 ref 16722 remove nil cons cons nil cons cons nil cons cons 451 ref subst nil 435 ref 16719 remove nil cons 16737 def cons 437 ref 16720 remove nil cons cons nil cons cons nil cons cons 451 ref subst 620 ref 13812 ref nil 16329 remove 14496 ref cons nil cons cons 1169 ref subst nil 1116 ref 14497 ref 16251 remove appTerm 16738 def nil cons cons 14429 ref cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 16738 remove appTerm nil cons cons 14427 ref cons nil cons cons 1169 ref subst trans trans 7837 ref 14040 ref 4544 ref 14506 ref 16336 remove appThm appThm appThm appThm trans appThm nil 399 ref 16737 remove cons 400 ref 129 ref 16718 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 16718 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp trans appThm 1507 ref trans sym 154 ref eqMp proveHyp proveHyp eqMp nil 435 ref 16735 ref cons 437 ref 16725 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 16338 remove 16734 remove appTerm nil cons cons 400 ref 41 ref 16724 remove appTerm 16710 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 16725 remove cons 400 ref 16735 remove cons 16340 remove cons cons nil cons cons 2139 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 16344 remove 437 ref 16703 remove cons nil cons 16739 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 16346 remove 16739 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 16347 remove 16701 ref appTerm absTerm appTerm nil cons cons 400 ref 16348 remove 16701 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 16349 remove 16739 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 16350 remove 437 ref 16698 ref cons nil cons 16740 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 16352 remove 16699 remove cons nil cons cons 16741 def 416 ref subst 16741 remove 467 ref subst 439 ref 13812 ref nil 16172 remove 14496 ref cons nil cons cons 1169 ref subst nil 1116 ref 14497 ref 16159 remove appTerm 16742 def nil cons cons 14429 ref cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 16742 remove appTerm nil cons cons 14427 ref cons nil cons cons 1169 ref subst trans trans 7837 ref 14040 ref 4544 ref 14506 ref 16355 remove appThm 15009 ref trans appThm appThm appThm trans appThm 15012 ref trans appThm 16356 remove appThm 1523 ref trans sym 154 ref eqMp eqMp nil 16236 ref 16740 remove cons nil cons cons 451 ref subst deductAntisym eqMp 16440 remove nil 16236 remove 16441 remove 1553 ref 16698 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 14087 ref 437 ref 16693 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 14088 ref 437 ref 16688 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp eqMp eqMp nil 16442 remove 437 ref 16668 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 16657 remove nil cons cons 400 ref 16665 ref cons nil cons 16743 def cons nil cons cons 467 ref subst proveHyp 1131 ref 1368 ref 3190 ref 16443 remove nil 2073 ref 16672 ref cons nil cons cons 1169 ref subst nil 14046 ref 16673 ref cons nil cons cons 1169 ref subst trans 7837 ref nil 14046 ref 16675 ref cons nil cons cons 1169 ref subst 14040 ref nil 14046 ref 16676 ref cons nil cons cons 1169 ref subst 4544 ref 14940 ref 13645 ref appThm appThm trans appThm trans appThm trans 16744 def appThm appThm appThm 1211 remove appThm appThm 12025 remove appThm sym 129 ref "_49124" 14 ref var 16745 def 4349 ref 2714 ref 14221 ref 12916 ref appTerm appTerm 16746 def appTerm 16747 def 16745 remove varTerm appTerm absTerm 16748 def 1017 ref appTerm 16749 def appTerm refl 16748 ref 13923 ref appTerm betaConv appThm 439 ref 16749 remove betaConv appThm 16747 ref 13923 ref appTerm refl appThm trans 16748 remove refl 13928 ref appThm eqMp sym 16747 ref refl 13933 ref 1210 ref subst appThm sym 129 ref "_49126" 14 ref var 16750 def 16747 ref 187 ref 13922 remove appTerm 16751 def 16750 remove varTerm appTerm appTerm absTerm 16752 def 12917 ref appTerm 16753 def appTerm refl 16752 ref 12916 ref appTerm betaConv appThm 439 ref 16753 remove betaConv appThm 16747 ref 16751 ref 12916 ref appTerm appTerm refl appThm trans 16752 remove refl 15055 ref appThm eqMp sym 6344 ref nil 16201 ref 16676 ref cons nil cons cons 2078 ref subst 16754 def nil 16204 ref 1213 ref 1006 ref 16674 ref cons nil cons cons 16755 def cons nil cons cons 2078 ref subst nil 2073 ref 12476 ref 1006 ref 187 ref 14270 remove appTerm 16756 def 68 ref appTerm 16757 def nil cons cons nil cons cons 16758 def cons nil cons cons 2078 ref subst trans trans 1368 ref 1368 ref 1368 ref 4544 ref 14456 ref appThm appThm 16207 ref appThm appThm 15062 ref appThm appThm 2100 ref appThm 16759 def trans appThm nil 16204 ref 1213 ref 1006 ref 13930 remove cons nil cons cons cons nil cons cons 2078 ref subst nil 2073 ref 12476 ref 1006 ref 16751 remove 68 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans 1368 ref 1368 ref 1368 ref 4544 ref 14454 remove 13591 ref refl 16760 def appThm 16761 def appThm appThm 16207 ref appThm appThm 15062 ref appThm appThm 2100 ref appThm trans appThm nil 1116 ref 187 ref 187 ref 2714 ref 14464 remove 13591 ref appTerm 16762 def appTerm 16763 def appTerm 68 ref appTerm 16764 def appTerm 69 ref appTerm nil cons cons 2719 remove 1003 ref 187 ref 187 ref 2714 ref 14465 ref appTerm 16765 def appTerm 68 ref appTerm 16766 def appTerm 69 ref appTerm 16767 def nil cons cons nil cons cons cons nil cons cons 6006 ref subst nil 1116 ref 16764 remove nil cons cons 12078 remove 1003 ref 16766 remove nil cons 16768 def cons nil cons cons cons nil cons cons 6006 ref subst nil 1116 ref 16763 remove nil cons cons 16769 def 1007 remove 1003 ref 16765 remove nil cons 16770 def cons nil cons cons cons nil cons cons 6006 remove subst trans trans trans sym nil 1116 ref 16762 ref nil cons cons 16771 def 14495 remove 4159 ref cons 16772 def cons nil cons cons 16458 ref subst 6344 ref 14505 ref appThm 14504 remove 16760 ref appThm 16773 def appThm trans sym 1003 ref 42 ref 4349 ref 14220 remove appTerm 16774 def 1011 ref appTerm appTerm 14544 ref appTerm absTerm 16775 def 14238 ref appTerm betaConv sym 6344 ref 15388 ref 14455 remove appThm 16776 def appThm nil 14551 remove nil cons cons 16777 def 15131 ref subst 1368 ref 15387 remove appThm 16776 ref appThm trans appThm nil 1006 ref 699 ref 700 ref 701 ref 11906 ref 189 ref 1285 ref 732 ref appTerm 16778 def appTerm 16779 def appTerm 16780 def appTerm 16781 def appTerm 16782 def appTerm 16783 def nil cons 16784 def cons 16785 def 1003 ref 2195 ref 16783 ref appTerm 16786 def 14206 ref appTerm 16787 def nil cons cons nil cons cons 16788 def nil cons cons 1003 ref 129 ref 4362 ref 1134 remove appTerm appTerm 13967 ref 1009 ref appTerm appTerm absTerm 16789 def 1011 ref appTerm 16790 def betaConv 1006 ref 17 ref 16789 ref appTerm 16791 def absTerm 16792 def 1009 ref appTerm 16793 def betaConv nil 17 ref 16792 ref appTerm 16794 def axiom nil 399 ref 16794 remove nil cons cons 400 ref 16793 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16792 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16791 remove nil cons cons 400 ref 16790 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16789 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst nil 1003 ref 16784 remove cons nil cons nil cons cons 14605 ref subst 620 ref nil 1003 ref 16782 remove nil cons cons 1221 ref cons nil cons cons 6617 ref subst 15309 ref nil 1003 ref 16781 remove nil cons cons 1227 ref cons nil cons cons 6617 ref subst 6620 ref nil 1003 ref 16780 remove nil cons cons 1233 ref cons nil cons cons 6617 ref subst 6626 ref nil 1003 ref 16779 remove nil cons cons 12079 ref cons nil cons cons 6617 ref subst 15315 ref nil 1003 ref 16778 remove nil cons cons 1240 ref cons nil cons cons 6617 ref subst 15318 remove 15319 remove appThm 15320 remove trans trans appThm 15321 ref trans trans appThm 6633 remove trans trans appThm 6634 remove trans trans appThm 15322 remove trans trans 16795 def appThm 1507 ref trans trans trans trans sym 154 ref eqMp nil 399 ref 16774 ref 14238 ref appTerm nil cons cons 400 ref 698 ref 14238 ref appTerm 13921 ref appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 1116 ref 13591 ref nil cons cons 16796 def 1003 ref 14237 remove nil cons cons 14398 ref cons cons nil cons cons 6066 ref subst 14555 ref nil 13603 ref 1006 ref 14278 remove cons nil cons cons nil cons cons 1003 ref 129 ref 15645 remove 1286 remove appTerm 16797 def appTerm 1012 ref appTerm 16798 def absTerm 16799 def 1011 ref appTerm 16800 def betaConv 1006 ref 17 ref 16799 ref appTerm 16801 def absTerm 16802 def 1009 ref appTerm 16803 def betaConv nil 17 ref 16802 ref appTerm 16804 def axiom 16805 def nil 399 ref 16804 remove nil cons cons 400 ref 16803 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16802 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 16801 remove nil cons cons 400 ref 16800 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16799 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 16806 def subst 14556 ref trans appThm 14558 ref trans trans 16807 def sym 154 ref eqMp eqMp eqMp 162 ref 160 ref 16775 ref nil cons cons 475 ref 14238 ref nil cons 16808 def cons nil cons 16809 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16775 remove appTerm nil cons cons 400 ref 16774 remove 13921 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14538 ref 14609 ref cons nil cons cons 4602 ref subst eqMp eqMp eqMp eqMp eqMp eqMp nil 399 ref 16747 remove 1017 ref appTerm nil cons cons 400 ref 180 ref 187 ref 726 ref 729 remove 713 ref 12941 ref 16746 ref appTerm appTerm 16810 def appTerm appTerm appTerm 736 remove appTerm appTerm 742 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 707 ref 16746 ref nil cons cons nil cons nil cons cons 16508 remove subst eqMp eqMp 16811 def eqMp eqMp eqMp nil 399 ref 16660 ref nil cons cons 16812 def 400 ref 41 ref 16661 ref appTerm 16643 ref appTerm 16813 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 439 ref 14945 ref nil 16511 ref 16670 ref cons nil cons cons 1169 ref subst nil 16513 remove 16672 ref cons nil cons cons 1169 ref subst nil 16514 ref 16673 ref cons nil cons cons 1169 ref subst trans trans 7837 ref nil 16514 ref 16675 ref cons nil cons cons 1169 ref subst 14040 ref nil 16514 remove 16676 ref cons nil cons cons 1169 ref subst 4544 ref 14940 ref 16515 remove appThm appThm trans appThm trans appThm trans appThm appThm 16516 remove appThm appThm 439 ref 14945 ref 7837 ref 14040 ref 4544 ref 14940 ref nil 2073 ref 16291 ref 15973 ref cons cons nil cons cons 1169 ref subst nil 1116 ref 16545 ref 192 ref appTerm 16814 def nil cons cons 16815 def 13643 ref cons nil cons cons 1169 ref subst trans appThm appThm appThm appThm appThm appThm 1131 ref nil 16511 remove 13643 ref cons nil cons cons 1169 ref subst appThm 12289 remove appThm appThm appThm sym 1003 ref 180 ref 2714 ref 1011 ref appTerm appTerm 1084 remove appTerm absTerm 16816 def 16056 ref appTerm 16817 def betaConv 1199 ref 192 ref appTerm 16818 def betaConv 1203 ref nil 1205 ref 400 ref 16818 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 1207 ref 3643 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 16816 ref appTerm nil cons cons 400 ref 16817 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16816 remove nil cons cons 16141 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 180 ref 16512 ref appTerm 16814 ref appTerm 16819 def nil cons 16820 def cons 400 ref 41 ref 129 ref 585 ref 713 ref 12941 ref 2714 ref 14221 ref 16525 remove appTerm appTerm appTerm appTerm appTerm appTerm 16149 ref appTerm appTerm 129 ref 585 ref 713 ref 12941 ref 2714 ref 14221 ref 747 ref 11906 ref 16814 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm 16821 def appTerm 16822 def 180 ref 747 ref 11906 ref 16056 ref appTerm 16823 def appTerm appTerm 11910 ref appTerm 16824 def appTerm 16825 def appTerm nil cons 16826 def cons nil cons cons nil cons cons 16827 def 459 ref subst proveHyp 16827 ref 416 ref subst 16827 remove 467 ref subst 129 ref "_48966" 14 ref var 16828 def 41 ref 129 ref 585 ref 713 ref 12941 ref 2714 ref 14221 ref 747 ref 11906 ref 16828 remove varTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 16149 ref appTerm appTerm 16825 ref appTerm absTerm 16829 def 16512 remove appTerm 16830 def appTerm refl 16829 ref 16814 ref appTerm betaConv appThm 439 ref 16830 remove betaConv appThm 41 ref 16822 remove 16149 ref appTerm 16831 def appTerm 16825 ref appTerm refl appThm trans 16829 remove refl 16819 remove assume appThm eqMp sym nil 399 ref 16831 ref nil cons 16832 def cons 400 ref 16825 remove nil cons 16833 def cons nil cons cons nil cons cons 16834 def 416 ref subst 16834 remove 467 ref subst 129 ref "_48968" 2 ref var 16835 def 129 ref 16835 remove varTerm appTerm 16824 ref appTerm absTerm 16836 def 16821 remove appTerm 16837 def appTerm refl 16836 ref 16149 ref appTerm betaConv appThm 439 ref 16837 remove betaConv appThm 129 ref 16149 remove appTerm 16838 def 16824 remove appTerm 16839 def refl appThm trans 16836 remove refl 16831 remove assume appThm eqMp sym 1003 ref 180 ref 11906 ref 1011 ref appTerm appTerm 1083 remove 69 ref appTerm appTerm absTerm 16840 def 16056 ref appTerm 16841 def betaConv 1199 remove 69 ref appTerm 16842 def betaConv 1203 remove nil 1205 remove 400 ref 16842 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 1207 remove 494 ref cons nil cons cons 469 ref subst eqMp eqMp 16843 def nil 399 ref 17 ref 16840 ref appTerm nil cons cons 16844 def 400 ref 16841 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16840 ref nil cons cons 16845 def 16141 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 180 ref 16823 ref appTerm 16545 ref 69 ref appTerm 16846 def appTerm 16847 def nil cons 16848 def cons 400 ref 16839 remove nil cons 16849 def cons nil cons cons nil cons cons 16850 def 459 ref subst proveHyp 16850 ref 416 ref subst 16850 remove 467 ref subst 129 ref "_48970" 14 ref var 16851 def 16838 ref 180 ref 747 ref 16851 remove varTerm appTerm appTerm 11910 ref appTerm appTerm absTerm 16852 def 16823 remove appTerm 16853 def appTerm refl 16852 ref 16846 ref appTerm betaConv appThm 439 ref 16853 remove betaConv appThm 16838 ref 180 ref 747 ref 16846 remove appTerm appTerm 16854 def 11910 ref appTerm appTerm 16855 def refl appThm trans 16852 remove refl 16847 remove assume appThm eqMp sym 16840 remove 208 remove appTerm 16856 def betaConv 16843 remove nil 16844 remove 400 ref 16856 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 16845 remove 4160 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 180 ref 11907 ref appTerm 4864 remove 69 ref appTerm 16857 def appTerm 16858 def nil cons 16859 def cons 400 ref 16855 remove nil cons 16860 def cons nil cons cons nil cons cons 16861 def 459 ref subst proveHyp 16861 ref 416 ref subst 16861 remove 467 ref subst 129 ref "_48972" 14 ref var 16862 def 16838 ref 16854 ref 699 ref 700 ref 701 ref 16862 remove varTerm appTerm appTerm appTerm appTerm appTerm absTerm 16863 def 11907 remove appTerm 16864 def appTerm refl 16863 ref 16857 ref appTerm betaConv appThm 439 ref 16864 remove betaConv appThm 16838 remove 16854 remove 699 ref 700 ref 701 ref 16857 ref appTerm 16865 def appTerm appTerm appTerm appTerm refl appThm trans 16863 remove refl 16858 remove assume appThm eqMp sym 439 ref 16148 ref refl 2099 remove appThm appThm 1131 ref nil 12058 ref 16544 remove cons nil cons cons 2078 ref subst appThm nil 1116 ref 16865 remove nil cons cons 2082 ref cons nil cons cons 2078 ref subst nil 1116 ref 16857 remove nil cons cons 2089 ref cons nil cons cons 2078 ref subst nil 12058 ref 12188 remove 2095 remove cons cons nil cons cons 2078 ref subst trans trans 1368 ref 2098 remove appThm 15062 ref appThm trans appThm nil 1003 ref 2104 ref nil cons cons 12058 ref 1006 ref 16534 remove cons nil cons cons cons nil cons cons 2889 ref subst trans appThm nil 611 ref 16148 remove 2104 remove appTerm nil cons cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp eqMp eqMp nil 435 ref 16859 remove cons 437 ref 16860 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 435 ref 16848 remove cons 437 ref 16849 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 435 ref 16832 remove cons 437 ref 16833 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 16820 remove cons 437 ref 16826 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 399 ref 42 ref 16660 remove appTerm 16813 remove appTerm nil cons cons 400 ref 41 ref 16662 remove appTerm 16643 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 16663 remove cons 400 ref 16661 remove nil cons cons 16812 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 435 ref 16637 remove cons 16626 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 16633 remove cons 16626 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 16629 ref 689 ref appTerm appTerm 14231 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 16630 remove appTerm 14231 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 16629 remove nil cons cons 16626 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 16627 ref cons 16866 def 16626 ref cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 15966 remove appTerm 16867 def betaConv 1970 ref nil 1971 ref 400 ref 16867 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 16627 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 16866 remove 437 ref 15968 remove cons 1553 ref 15963 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 435 ref 14422 remove cons 437 ref 14424 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 14419 remove cons 437 ref 14420 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 14418 remove appTerm nil cons cons 400 ref 14235 ref nil cons 16868 def cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 707 ref 165 ref 603 ref 1006 ref 14413 remove refl 14234 ref 1009 ref appTerm betaConv appThm absThm appThm appThm 14234 ref 708 ref appTerm 16869 def betaConv 16870 def appThm absThm appThm appThm 603 ref 707 ref 16870 ref absThm appThm appThm nil 1329 ref 14234 ref nil cons 16871 def cons nil cons nil cons cons 1329 ref 41 ref 17 ref 1003 ref 41 ref 17 ref 1006 ref 6078 remove 1331 ref 1009 ref appTerm appTerm absTerm appTerm appTerm 1332 remove appTerm absTerm appTerm appTerm 1333 remove appTerm absTerm 16872 def 1331 remove appTerm 16873 def betaConv nil 1336 remove 16872 ref appTerm 16874 def axiom nil 399 ref 16874 remove nil cons cons 400 ref 16873 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 1338 remove 1339 remove 16872 remove nil cons cons 1340 remove cons nil cons cons 469 ref subst eqMp eqMp 16875 def subst eqMp eqMp nil 399 ref 16868 ref cons 16876 def 400 ref 41 ref 14235 ref appTerm 14254 ref appTerm 16877 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 16876 ref 400 ref 14254 remove nil cons 16878 def cons nil cons 16879 def cons nil cons cons 16880 def 416 ref subst 16880 remove 467 ref subst 1131 ref 7837 ref 14040 ref 4544 ref 16777 remove 14574 ref subst 16881 def appThm appThm appThm appThm 187 ref 713 ref 12941 ref 2714 ref 14221 ref 11919 ref appTerm 16882 def appTerm 16883 def appTerm 16884 def appTerm 16885 def appTerm 192 ref appTerm 16886 def refl appThm sym 180 ref 713 ref 12941 ref 2714 ref 14221 ref 12928 ref appTerm appTerm appTerm appTerm 16887 def appTerm refl nil 2073 ref 1003 ref 16884 ref nil cons 16888 def cons 7786 ref cons cons nil cons cons 1169 ref subst 7837 ref nil 2073 ref 1003 ref 16883 remove nil cons cons 16889 def 13635 ref cons 16890 def cons nil cons cons 1169 ref subst 14040 ref nil 2073 ref 1003 ref 16882 ref nil cons 16891 def cons 4159 ref cons 16892 def cons nil cons cons 1169 ref subst 4544 ref nil 2073 ref 12071 ref 14609 ref cons 16893 def cons nil cons cons 1169 ref subst 14940 ref nil 2073 ref 12073 remove cons nil cons cons 1169 ref subst 1223 ref nil 2073 ref 12075 remove cons nil cons cons 1169 ref subst 1229 ref nil 2073 ref 12077 remove cons nil cons cons 1169 ref subst 1235 ref nil 2073 ref 12080 remove cons nil cons cons 1169 ref subst 12506 ref nil 2073 ref 12065 ref cons nil cons cons 1169 ref subst 1243 ref 9588 remove appThm trans appThm trans appThm trans appThm trans appThm trans 16894 def appThm trans appThm trans appThm trans appThm trans appThm nil 475 ref 16887 remove nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp 129 ref "_51044" 14 ref var 16895 def 42 ref 13720 ref 16895 remove varTerm 16896 def appTerm appTerm 77 ref 13746 ref 16896 remove appTerm appTerm appTerm absTerm 16897 def 14241 ref appTerm 16898 def appTerm refl 16897 ref 16886 ref appTerm betaConv appThm 439 ref 16898 remove betaConv appThm 42 ref 13720 ref 16886 ref appTerm appTerm 77 ref 13746 ref 16886 ref appTerm appTerm 16899 def appTerm 16900 def refl 16901 def appThm trans 16897 remove refl 180 ref 14241 ref appTerm 16886 remove appTerm assume appThm eqMp sym 13821 ref nil 13824 ref 400 ref 16900 remove nil cons 16902 def cons nil cons 16903 def cons nil cons cons 459 ref subst proveHyp 13830 ref 16901 remove appThm sym nil 13833 ref 16903 remove cons nil cons cons 16904 def 416 ref subst 16904 remove 467 ref subst 625 ref nil 38 ref 16885 ref nil cons cons nil cons nil cons cons 16905 def 13837 ref subst appThm 16899 ref refl appThm sym 13844 ref nil 13847 ref 400 ref 42 ref 13815 ref 16885 ref appTerm appTerm 16906 def 16899 remove appTerm 16907 def nil cons 16908 def cons nil cons 16909 def cons nil cons cons 459 ref subst proveHyp 13852 ref 16907 remove refl appThm sym nil 13855 ref 16909 remove cons nil cons cons 16910 def 416 ref subst 16910 remove 467 ref subst 16906 ref refl 620 ref 16905 ref 13858 ref subst appThm appThm sym 13872 ref nil 13874 ref 400 ref 16906 remove 77 ref 13838 ref 16885 ref appTerm appTerm 16911 def appTerm 16912 def nil cons 16913 def cons nil cons 16914 def cons nil cons cons 459 ref subst proveHyp 13879 ref 16912 remove refl appThm sym nil 13882 ref 16914 remove cons nil cons cons 16915 def 416 ref subst 16915 remove 467 ref subst 625 ref 16905 ref 13885 ref subst appThm 16911 ref refl appThm sym 13893 ref nil 13895 ref 400 ref 42 ref 1486 ref 46 ref 16885 ref appTerm 16916 def appTerm 16917 def 13860 ref 16885 ref appTerm 16918 def appTerm appTerm 16919 def 16911 remove appTerm 16920 def nil cons 16921 def cons nil cons 16922 def cons nil cons cons 459 ref subst proveHyp 13902 ref 16920 remove refl appThm sym nil 13905 ref 16922 remove cons nil cons cons 16923 def 416 ref subst 16923 remove 467 ref subst 16919 ref refl 620 ref 16905 ref 13908 ref subst appThm appThm sym 13795 remove 16884 ref appTerm 16924 def betaConv nil 13798 remove 400 ref 16924 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 13910 remove 475 ref 16888 ref cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 698 ref 16884 remove appTerm 16925 def 1017 ref appTerm 16926 def appTerm 129 ref 16916 ref appTerm 16927 def 16925 ref 12917 ref appTerm 16928 def appTerm 16929 def appTerm 16930 def nil cons cons 400 ref 16919 remove 77 ref 16917 remove 13886 ref 16885 ref appTerm 16931 def appTerm appTerm appTerm 16932 def nil cons 16933 def cons nil cons 16934 def cons nil cons cons 459 ref subst proveHyp 129 ref "_51046" 14 ref var 16935 def 16925 ref 16935 remove varTerm appTerm absTerm 16936 def 1017 ref appTerm 16937 def appTerm refl 16936 ref 13923 ref appTerm betaConv appThm 439 ref 16937 remove betaConv appThm 16925 remove 13923 ref appTerm refl appThm trans 16936 remove refl 13928 ref appThm eqMp sym nil 14533 ref 16890 ref cons nil cons cons 16938 def 6045 ref subst nil 14538 ref 16892 ref cons nil cons cons 16939 def 6045 ref subst trans sym 1003 ref 42 ref 698 ref 16882 remove appTerm 16940 def 1011 ref appTerm appTerm 14544 ref appTerm absTerm 16941 def 14238 ref appTerm betaConv sym 42 ref 16940 ref 14238 ref appTerm 16942 def appTerm refl 16807 remove appThm nil 150 ref 16942 remove nil cons cons nil cons nil cons cons 1105 ref subst trans sym 16940 ref refl 16881 ref appThm sym nil 14576 ref 16893 ref cons nil cons cons 6045 ref subst 14583 remove trans 14586 remove trans sym 154 ref eqMp eqMp eqMp eqMp 162 ref 160 ref 16941 ref nil cons cons 16809 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 16941 remove appTerm nil cons cons 400 ref 16940 remove 13921 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14538 ref 1006 ref 16891 remove cons nil cons 16943 def cons nil cons cons 4776 ref subst eqMp eqMp eqMp nil 399 ref 16926 ref nil cons cons 16944 def 400 ref 41 ref 16929 ref appTerm 16932 ref appTerm 16945 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 150 ref 16928 ref nil cons cons nil cons nil cons cons 4418 ref subst nil 13638 ref 1006 ref 16888 remove cons nil cons cons nil cons cons 4456 ref subst nil 16890 remove nil cons cons 14601 ref subst nil 16889 remove nil cons nil cons cons 14605 ref subst trans trans trans 620 ref nil 16892 remove nil cons cons 6617 ref subst 14608 ref nil 16893 remove nil cons cons 16946 def 6617 ref subst 14610 ref refl 15527 ref 6617 ref subst 15309 remove 15529 ref 6617 ref subst 6620 remove 15531 ref 6617 ref subst 6626 remove 12081 ref 6617 ref subst 15315 ref 15534 ref 6617 ref subst appThm trans appThm trans appThm trans appThm trans appThm trans appThm nil 150 ref 14610 remove 15308 remove 6619 remove 6625 remove 15314 remove 15317 remove 180 ref 732 ref appTerm 191 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm nil cons cons nil cons nil cons cons 1506 ref subst trans trans appThm 1507 ref trans trans sym 154 ref eqMp 129 ref "_51048" 2 ref var 16947 def 41 ref 16927 ref 16947 remove varTerm appTerm appTerm 16932 ref appTerm absTerm 16948 def 16928 ref appTerm 16949 def appTerm refl 16948 ref 1407 ref appTerm betaConv appThm 439 ref 16949 remove betaConv appThm 41 ref 16927 remove 1407 ref appTerm 16950 def appTerm 16932 ref appTerm refl appThm trans 16948 remove refl 129 ref 16928 remove appTerm 1407 ref appTerm assume appThm eqMp sym nil 399 ref 16950 ref nil cons 16951 def cons 16934 remove cons nil cons cons 16952 def 416 ref subst 16952 remove 467 ref subst 129 ref "_51050" 2 ref var 16953 def 42 ref 1486 ref 16953 remove varTerm appTerm 16954 def 16918 ref appTerm appTerm 77 ref 16954 remove 16931 ref appTerm appTerm appTerm absTerm 16955 def 16916 remove appTerm 16956 def appTerm refl 16955 ref 1407 ref appTerm betaConv appThm 439 ref 16956 remove betaConv appThm 42 ref 1537 ref 16918 ref appTerm appTerm 77 ref 1537 ref 16931 ref appTerm appTerm appTerm refl appThm trans 16955 remove refl 16950 remove assume appThm eqMp sym 625 ref nil 150 ref 16918 ref nil cons cons nil cons nil cons cons 1541 ref subst appThm 620 ref nil 150 ref 16931 ref nil cons cons nil cons nil cons cons 1541 ref subst appThm appThm sym 14634 ref nil 14636 ref 400 ref 42 ref 16918 remove appTerm 77 ref 16931 remove appTerm 16957 def appTerm 16958 def nil cons 16959 def cons nil cons 16960 def cons nil cons cons 459 ref subst proveHyp 14640 ref 16958 remove refl appThm sym nil 14643 ref 16960 remove cons nil cons cons 16961 def 416 ref subst 16961 remove 467 ref subst 625 ref 16905 ref 14647 ref subst appThm 16957 ref refl 16962 def appThm sym 14656 ref nil 14658 ref 400 ref 42 ref 42 ref 14621 ref 16885 ref appTerm appTerm 16963 def 14624 ref 16885 ref appTerm appTerm appTerm 16957 ref appTerm 16964 def nil cons 16965 def cons nil cons 16966 def cons nil cons cons 459 ref subst proveHyp 14663 ref 16964 remove refl appThm sym nil 14666 ref 16966 remove cons nil cons cons 16967 def 416 ref subst 16967 remove 467 ref subst 625 ref 16963 ref refl 16905 ref 14669 ref subst appThm appThm 16962 remove appThm sym 14688 ref nil 14690 ref 400 ref 42 ref 16963 remove 42 ref 13746 ref 16885 ref appTerm 16968 def appTerm 585 ref 16885 ref appTerm 16969 def appTerm 16970 def appTerm appTerm 16971 def 16957 remove appTerm 16972 def nil cons 16973 def cons nil cons 16974 def cons nil cons cons 459 ref subst proveHyp 14698 ref 16972 remove refl appThm sym nil 14701 ref 16974 remove cons nil cons cons 16975 def 416 ref subst 16975 remove 467 ref subst 16971 ref refl 16976 def 620 ref 16905 ref 14705 ref subst appThm appThm sym 14716 ref nil 14718 ref 400 ref 16971 ref 77 ref 4371 ref 16968 ref appTerm 16977 def 14671 ref 16885 ref appTerm appTerm 16978 def 14674 ref 16885 ref appTerm appTerm appTerm appTerm 16979 def nil cons 16980 def cons nil cons 16981 def cons nil cons cons 459 ref subst proveHyp 14724 ref 16979 remove refl appThm sym nil 14727 ref 16981 remove cons nil cons cons 16982 def 416 ref subst 16982 remove 467 ref subst 16976 remove 620 ref 16978 ref refl 16905 ref 14730 ref subst appThm appThm appThm sym 14740 ref nil 14742 ref 400 ref 16971 remove 77 ref 16978 remove 42 ref 13720 ref 16885 ref appTerm 16983 def appTerm 14707 ref 16885 remove appTerm 16984 def appTerm 16985 def appTerm appTerm 16986 def appTerm 16987 def nil cons 16988 def cons nil cons 16989 def cons nil cons cons 459 ref subst proveHyp 14750 ref 16987 remove refl appThm sym nil 14753 ref 16989 remove cons nil cons cons 16990 def 416 ref subst 16990 remove 467 ref subst 625 ref 625 ref 16905 ref 14756 ref subst appThm 16970 ref refl appThm appThm 16986 ref refl appThm sym 14760 remove nil 14762 remove 400 ref 42 ref 42 ref 77 ref 16983 ref appTerm 16991 def appTerm 16992 def 16970 remove appTerm appTerm 16993 def 16986 remove appTerm 16994 def nil cons 16995 def cons nil cons 16996 def cons nil cons cons 459 ref subst proveHyp 14768 remove 16994 remove refl appThm sym nil 14771 remove 16996 remove cons nil cons cons 16997 def 416 ref subst 16997 remove 467 ref subst 16993 ref refl 620 ref 16977 ref refl 16905 remove 14775 remove subst appThm 16985 ref refl appThm appThm appThm sym 14234 ref 11910 ref appTerm 16998 def betaConv nil 16876 ref 400 ref 16998 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 16871 remove cons 16999 def 475 ref 12306 remove cons nil cons 17000 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 4349 ref 11910 ref appTerm 17001 def 11919 ref appTerm 17002 def appTerm 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14221 ref 187 ref 11910 ref appTerm 192 ref appTerm appTerm appTerm appTerm appTerm 17003 def appTerm appTerm appTerm 13746 ref 17003 ref appTerm appTerm appTerm 129 ref 585 ref 17003 remove appTerm appTerm 180 ref 11910 ref appTerm 11910 ref appTerm appTerm appTerm 17004 def appTerm 17005 def nil cons cons 400 ref 16993 remove 77 ref 16977 remove 77 ref 16969 ref appTerm appTerm 16985 remove appTerm appTerm appTerm 17006 def nil cons 17007 def cons nil cons 17008 def cons nil cons cons 459 ref subst proveHyp 17001 remove refl 1223 ref 1229 ref 1235 ref 12506 ref 1243 ref 14980 remove sym 17009 def appThm 14978 remove 1324 ref subst trans appThm 14977 remove 1324 ref subst trans appThm 14976 remove 1324 ref subst trans appThm 14975 remove 1324 ref subst trans appThm 12501 remove 1324 ref subst trans appThm nil 14952 remove nil cons nil cons cons 7678 remove subst trans sym 154 ref eqMp nil 399 ref 17002 ref nil cons cons 17010 def 400 ref 41 ref 17004 ref appTerm 17006 ref appTerm 17011 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 625 ref 625 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 14940 ref nil 2073 ref 12500 ref cons nil cons cons 1169 ref subst 1223 ref nil 2073 ref 12503 ref cons nil cons cons 1169 ref subst 1229 ref nil 2073 ref 12504 ref cons nil cons cons 1169 ref subst 1235 ref nil 2073 ref 12505 ref cons nil cons cons 1169 ref subst 12506 ref 12343 remove appThm trans appThm trans appThm trans appThm trans appThm appThm appThm appThm 17012 def appThm appThm appThm 13814 ref 17012 ref appThm appThm appThm 439 ref 14945 ref 17012 remove appThm appThm nil 17000 ref nil cons cons 1281 ref subst appThm nil 150 ref 16969 ref nil cons 17013 def cons nil cons nil cons cons 17014 def 11320 ref subst trans appThm appThm 17006 ref refl appThm sym nil 399 ref 42 ref 16992 remove 16968 ref appTerm 17015 def appTerm 16969 ref appTerm nil cons 17016 def cons 17008 remove cons nil cons cons 17017 def 416 ref subst 17017 remove 467 ref subst nil 435 ref 17015 remove nil cons cons 437 ref 17013 remove cons nil cons cons nil cons cons 17018 def 451 ref subst 17018 remove 515 ref subst nil 435 ref 16991 remove nil cons 17019 def cons 437 ref 16968 ref nil cons 17020 def cons nil cons cons nil cons cons 17021 def 451 ref subst 17021 remove 515 ref subst 625 ref 625 ref 620 ref nil 399 ref 17019 remove cons 400 ref 129 ref 16983 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 16983 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp 17022 def appThm 1507 ref trans appThm 625 ref nil 150 ref 17020 remove cons nil cons nil cons cons 155 ref subst 16968 remove assume eqMp 17023 def appThm 17014 remove 155 ref subst 16969 remove assume eqMp 17024 def appThm 634 ref trans appThm 634 ref trans appThm 620 ref 4386 ref 17023 remove appThm 620 ref 17024 remove appThm 1535 ref trans appThm 625 ref 17022 remove appThm 16984 ref refl appThm nil 150 ref 16984 remove nil cons cons nil cons nil cons cons 1506 ref subst trans appThm nil 14949 ref 1812 ref 1424 remove cons nil cons cons nil cons cons 14951 remove subst trans appThm 1507 ref trans appThm 634 ref trans sym 154 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 17016 remove cons 437 ref 17007 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 399 ref 42 ref 17002 remove appTerm 17011 remove appTerm nil cons cons 400 ref 41 ref 17005 remove appTerm 17006 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 17007 remove cons 400 ref 17004 remove nil cons cons 17010 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 15956 remove 437 ref 16995 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15957 ref 437 ref 16988 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15958 ref 437 ref 16980 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15959 ref 437 ref 16973 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15960 ref 437 ref 16965 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15961 ref 437 ref 16959 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 16951 remove cons 437 ref 16933 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp proveHyp eqMp nil 399 ref 42 ref 16926 remove appTerm 16945 remove appTerm nil cons cons 400 ref 41 ref 16930 remove appTerm 16932 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 16933 remove cons 400 ref 16929 remove nil cons cons 16944 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 13946 ref 437 ref 16921 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13947 ref 437 ref 16913 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13948 ref 437 ref 16908 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13949 ref 437 ref 16902 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp nil 399 ref 14243 remove 14245 ref appTerm 17025 def nil cons 17026 def cons 17027 def 400 ref 41 ref 17025 ref appTerm 14253 ref appTerm 17028 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 17027 remove 400 ref 14253 remove nil cons 17029 def cons nil cons cons nil cons cons 17030 def 416 ref subst 17030 remove 467 ref subst nil 435 ref 14242 ref nil cons 17031 def cons 437 ref 14245 remove nil cons 17032 def cons nil cons cons nil cons cons 17033 def 451 ref subst 17033 remove 515 ref subst 2661 ref 17 ref 38 ref 41 ref 13194 remove 2667 ref appTerm appTerm 9731 ref 728 ref 13092 ref appTerm 17034 def 47 ref appTerm 17035 def appTerm appTerm absTerm appTerm absTerm 17036 def 234 ref appTerm 17037 def betaConv 9734 ref 13092 ref appTerm 17038 def betaConv 9737 ref nil 9738 ref 400 ref 17038 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9739 ref 470 ref 13092 ref nil cons cons nil cons 17039 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17036 ref appTerm nil cons cons 400 ref 17037 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17036 remove nil cons cons 9219 ref cons nil cons cons 469 ref subst eqMp eqMp 17040 def nil 399 ref 17 ref 38 ref 41 ref 13195 ref appTerm 2206 ref 7321 ref 9727 ref appTerm appTerm 17035 ref appTerm 17041 def appTerm absTerm appTerm nil cons cons 17042 def 400 ref 14251 ref nil cons 17043 def cons nil cons 17044 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13571 remove cons nil cons nil cons cons 155 ref subst 13195 remove assume eqMp appThm 17041 ref refl appThm nil 150 ref 17041 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 17045 def 14251 remove refl appThm sym nil 399 ref 17 ref 38 ref 17041 remove absTerm 17046 def appTerm nil cons 17047 def cons 17048 def 17044 remove cons nil cons cons 17049 def 416 ref subst 17049 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref nil 38 ref 14246 ref nil cons cons nil cons nil cons cons 17050 def 17046 ref 47 ref appTerm 17051 def betaConv nil 17048 ref 400 ref 17051 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17046 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 17052 def subst appThm appThm 14248 ref refl appThm appThm 1703 ref appThm appThm 14250 ref refl 17053 def appThm sym 2661 ref 17 ref 38 ref 41 ref 13196 remove 2667 ref appTerm appTerm 9731 remove 728 ref 13096 ref appTerm 17054 def 47 ref appTerm 17055 def appTerm appTerm absTerm appTerm absTerm 17056 def 238 ref appTerm 17057 def betaConv 9734 remove 13096 ref appTerm 17058 def betaConv 9737 remove nil 9738 remove 400 ref 17058 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 9739 remove 470 ref 13096 ref nil cons cons nil cons 17059 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17056 ref appTerm nil cons cons 400 ref 17057 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17056 remove nil cons cons 9485 ref cons nil cons cons 469 ref subst eqMp eqMp 17060 def nil 399 ref 17 ref 38 ref 41 ref 13197 ref appTerm 2206 ref 7322 ref 9727 remove appTerm appTerm 17055 ref appTerm 17061 def appTerm absTerm appTerm nil cons cons 17062 def 400 ref 180 ref 2217 ref 187 ref 726 ref 17034 ref 14246 ref appTerm appTerm appTerm 17063 def 14248 remove appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm 17064 def nil cons 17065 def cons nil cons 17066 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13572 remove cons nil cons nil cons cons 155 ref subst 13197 remove assume eqMp appThm 17061 ref refl appThm nil 150 ref 17061 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 17067 def 17064 remove refl appThm sym nil 399 ref 17 ref 38 ref 17061 remove absTerm 17068 def appTerm nil cons 17069 def cons 17070 def 17066 remove cons nil cons cons 17071 def 416 ref subst 17071 remove 467 ref subst 1131 ref 2793 ref 17063 ref refl 2814 ref 3190 ref 17050 ref 17068 ref 47 ref appTerm 17072 def betaConv nil 17070 ref 400 ref 17072 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17068 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 17073 def subst appThm appThm appThm appThm 1703 ref appThm appThm 17053 ref appThm sym 2716 ref 17 ref 38 ref 41 ref 13174 remove 2722 ref appTerm appTerm 3063 ref 3052 ref 13657 remove appTerm 17074 def 728 ref 13090 ref appTerm 17075 def 47 ref appTerm 17076 def appTerm 17077 def 12409 ref appTerm 17078 def appTerm appTerm absTerm appTerm absTerm 17079 def 13092 remove appTerm 17080 def betaConv 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 13173 remove 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 17077 remove 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 17081 def 234 ref appTerm 17082 def betaConv 470 ref 11 ref 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 13172 remove 653 ref appTerm 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 17074 ref 2797 ref appTerm 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 17083 def 13090 ref appTerm 17084 def betaConv 3070 ref 13139 remove appTerm 17085 def betaConv 3073 ref nil 3074 ref 400 ref 17085 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3075 ref 13671 remove cons nil cons cons 469 ref subst eqMp eqMp 17086 def nil 399 ref 11 ref 17083 ref appTerm nil cons cons 17087 def 400 ref 17084 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17083 ref nil cons cons 17088 def 470 ref 13090 ref nil cons cons nil cons 17089 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17081 ref appTerm nil cons cons 400 ref 17082 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17081 remove nil cons cons 9219 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17079 ref appTerm nil cons cons 400 ref 17080 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17079 remove nil cons cons 17039 remove cons nil cons cons 469 ref subst eqMp eqMp 17090 def nil 399 ref 17 ref 38 ref 41 ref 13175 ref appTerm 2206 ref 17035 remove appTerm 17078 remove appTerm 17091 def appTerm absTerm appTerm nil cons cons 17092 def 400 ref 180 ref 2217 ref 17063 remove 2196 ref 726 ref 17054 ref 14246 ref appTerm appTerm appTerm 17093 def appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm 17094 def nil cons 17095 def cons nil cons 17096 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13555 remove cons nil cons nil cons cons 155 ref subst 13175 remove assume eqMp appThm 17091 ref refl appThm nil 150 ref 17091 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 17097 def 17094 remove refl appThm sym nil 399 ref 17 ref 38 ref 17091 remove absTerm 17098 def appTerm nil cons 17099 def cons 17100 def 17096 remove cons nil cons cons 17101 def 416 ref subst 17101 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 17050 ref 17098 ref 47 ref appTerm 17102 def betaConv nil 17100 ref 400 ref 17102 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17098 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 17103 def subst appThm appThm 17093 ref refl 17104 def appThm appThm 1703 ref appThm appThm 17053 ref appThm sym 2716 ref 17 ref 38 ref 41 ref 13170 remove 2722 ref appTerm appTerm 3063 ref 3052 ref 13660 remove appTerm 17105 def 2193 remove appTerm 17106 def 7886 ref 47 ref appTerm appTerm 17107 def appTerm appTerm absTerm appTerm absTerm 17108 def 13090 remove appTerm 17109 def betaConv 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 13169 remove 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 17106 remove 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 17110 def 4994 ref appTerm 17111 def betaConv 470 ref 11 ref 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 13168 remove 653 ref appTerm 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 17105 ref 2797 remove appTerm 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 17112 def 56 remove appTerm 17113 def betaConv 3070 remove 13146 remove appTerm 17114 def betaConv 3073 remove nil 3074 remove 400 ref 17114 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 3075 remove 13672 remove cons nil cons cons 469 ref subst eqMp eqMp 17115 def nil 399 ref 11 ref 17112 ref appTerm nil cons cons 17116 def 400 ref 17113 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17112 ref nil cons cons 17117 def 472 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17110 ref appTerm nil cons cons 400 ref 17111 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17110 remove nil cons cons 15952 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17108 ref appTerm nil cons cons 400 ref 17109 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17108 remove nil cons cons 17089 remove cons nil cons cons 469 ref subst eqMp eqMp 17118 def nil 399 ref 17 ref 38 ref 41 ref 13171 ref appTerm 2206 ref 17076 remove appTerm 17107 remove appTerm 17119 def appTerm absTerm appTerm nil cons cons 17120 def 400 ref 180 ref 2217 ref 187 ref 726 ref 3052 ref 13656 ref 14246 ref appTerm appTerm 17121 def 17075 ref 14246 ref appTerm appTerm 7321 ref 14246 ref appTerm 17122 def appTerm appTerm appTerm 17093 ref appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm 17123 def nil cons 17124 def cons nil cons 17125 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13553 remove cons nil cons nil cons cons 155 ref subst 13171 remove assume eqMp appThm 17119 ref refl appThm nil 150 ref 17119 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 17126 def 17123 remove refl appThm sym nil 399 ref 17 ref 38 ref 17119 remove absTerm 17127 def appTerm nil cons 17128 def cons 17129 def 17125 remove cons nil cons cons 17130 def 416 ref subst 17130 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 17121 ref refl 17131 def 17050 ref 17127 ref 47 ref appTerm 17132 def betaConv nil 17129 ref 400 ref 17132 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17127 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 17133 def subst appThm 17122 ref refl 17134 def appThm appThm appThm 17104 remove appThm appThm 1703 ref appThm appThm 17053 ref appThm sym 2716 ref 17 ref 38 ref 41 ref 13180 remove 2722 ref appTerm appTerm 3063 ref 17074 remove 728 remove 13094 ref appTerm 17135 def 47 ref appTerm 17136 def appTerm 17137 def 12445 ref appTerm 17138 def appTerm appTerm absTerm appTerm absTerm 17139 def 13096 remove appTerm 17140 def betaConv 2661 ref 11 ref 2716 ref 17 ref 38 ref 41 ref 13179 remove 2667 ref appTerm 2722 ref appTerm appTerm 3063 ref 17137 remove 2802 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 17141 def 238 ref appTerm 17142 def betaConv 17083 remove 13094 ref appTerm 17143 def betaConv 17086 remove nil 17087 remove 400 ref 17143 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 17088 remove 470 ref 13094 ref nil cons cons nil cons 17144 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17141 ref appTerm nil cons cons 400 ref 17142 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17141 remove nil cons cons 9485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17139 ref appTerm nil cons cons 400 ref 17140 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17139 remove nil cons cons 17059 remove cons nil cons cons 469 ref subst eqMp eqMp 17145 def nil 399 ref 17 ref 38 ref 41 ref 13181 ref appTerm 2206 ref 17055 remove appTerm 17138 remove appTerm 17146 def appTerm absTerm appTerm nil cons cons 17147 def 400 ref 180 ref 2217 ref 187 ref 726 ref 17121 ref 3052 ref 13659 ref 14246 ref appTerm appTerm 17148 def 2192 ref 14246 ref appTerm 17149 def appTerm 7886 ref 14246 ref appTerm 17150 def appTerm 17151 def appTerm 17122 ref appTerm appTerm appTerm 17152 def 17093 remove appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm 17153 def nil cons 17154 def cons nil cons 17155 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13559 remove cons nil cons nil cons cons 155 ref subst 13181 remove assume eqMp appThm 17146 ref refl appThm nil 150 ref 17146 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 17156 def 17153 remove refl appThm sym nil 399 ref 17 ref 38 ref 17146 remove absTerm 17157 def appTerm nil cons 17158 def cons 17159 def 17155 remove cons nil cons cons 17160 def 416 ref subst 17160 remove 467 ref subst 1131 ref 2793 ref 17152 ref refl 17161 def 2814 ref 3190 ref 17050 ref 17157 ref 47 ref appTerm 17162 def betaConv nil 17159 ref 400 ref 17162 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17157 remove nil cons cons 623 ref cons nil cons cons 469 ref subst eqMp eqMp 17163 def subst appThm appThm appThm appThm 1703 ref appThm appThm 17053 ref appThm sym 2716 ref 17 ref 38 ref 41 ref 13177 remove 2722 ref appTerm appTerm 3063 ref 17105 remove 2198 remove appTerm 17164 def 7887 ref 47 ref appTerm appTerm 17165 def appTerm appTerm absTerm appTerm absTerm 17166 def 13094 remove appTerm 17167 def betaConv 2661 remove 11 ref 2716 remove 17 ref 38 ref 41 ref 13176 remove 2667 remove appTerm 2722 remove appTerm appTerm 3063 remove 17164 remove 2802 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 17168 def 4996 ref appTerm 17169 def betaConv 17112 remove 57 remove appTerm 17170 def betaConv 17115 remove nil 17116 remove 400 ref 17170 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 17117 remove 474 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17168 ref appTerm nil cons cons 400 ref 17169 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17168 remove nil cons cons 15953 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17166 ref appTerm nil cons cons 400 ref 17167 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17166 remove nil cons cons 17144 remove cons nil cons cons 469 ref subst eqMp eqMp 17171 def nil 399 ref 17 ref 38 ref 41 ref 13178 ref appTerm 2206 remove 17136 remove appTerm 17165 remove appTerm 17172 def appTerm absTerm appTerm nil cons cons 17173 def 400 ref 180 ref 2217 ref 17152 ref 2196 ref 726 ref 17121 ref 17135 ref 14246 ref appTerm appTerm 7322 ref 14246 ref appTerm 17174 def appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm 17175 def nil cons 17176 def cons nil cons 17177 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 38 ref 165 ref nil 150 ref 13557 remove cons nil cons nil cons cons 155 ref subst 13178 remove assume eqMp appThm 17172 ref refl appThm nil 150 ref 17172 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 17178 def 17175 remove refl appThm sym nil 399 ref 17 ref 38 ref 17172 remove absTerm 17179 def appTerm nil cons 17180 def cons 17181 def 17177 remove cons nil cons cons 17182 def 416 ref subst 17182 remove 467 ref subst 1131 ref 2793 ref 17161 remove 2814 ref 3190 ref 17131 remove 17050 remove 17179 ref 47 remove appTerm 17183 def betaConv nil 17181 ref 400 ref 17183 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17179 remove nil cons cons 623 remove cons nil cons cons 469 ref subst eqMp eqMp 17184 def subst appThm 17174 ref refl 17185 def appThm appThm appThm appThm appThm 1703 ref appThm appThm 17053 ref appThm sym 13729 ref nil 13731 ref 400 ref 180 ref 2217 ref 17152 remove 2196 ref 726 ref 17121 remove 17148 remove 2197 ref 14246 ref appTerm 17186 def appTerm 7887 ref 14246 remove appTerm 17187 def appTerm 17188 def appTerm 17174 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm 17189 def nil cons 17190 def cons nil cons 17191 def cons nil cons cons 459 ref subst proveHyp 13737 ref 17189 remove refl appThm sym nil 13740 ref 17191 remove cons nil cons cons 17192 def 416 ref subst 17192 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 3052 ref refl 17193 def nil 38 ref 14241 remove nil cons cons nil cons nil cons cons 17194 def 13744 ref subst appThm 17195 def 17151 ref refl 17196 def appThm 17134 ref appThm appThm appThm 2814 ref 3190 ref 17195 remove 17188 ref refl 17197 def appThm 17185 ref appThm appThm appThm appThm appThm 1703 ref appThm appThm 17053 ref appThm sym 13754 ref nil 13756 ref 400 ref 180 ref 2217 ref 187 ref 726 ref 3052 ref 14242 ref appTerm 17198 def 17151 ref appTerm 17122 ref appTerm appTerm appTerm 2196 ref 726 ref 17198 remove 17188 ref appTerm 17174 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 13763 ref 1131 ref 2793 ref 1368 ref 3190 ref 17193 ref nil 150 ref 17031 ref cons nil cons nil cons cons 155 ref subst 14242 remove assume eqMp appThm 17199 def 17196 remove appThm 17134 remove appThm nil 3191 ref 17122 remove nil cons cons 3192 ref 17151 ref nil cons cons nil cons cons nil cons cons 3319 ref subst trans appThm appThm 2814 ref 3190 ref 17199 remove 17197 remove appThm 17185 remove appThm nil 3191 ref 17174 remove nil cons cons 3192 ref 17188 ref nil cons cons nil cons cons nil cons cons 3319 ref subst trans appThm appThm appThm appThm 1703 ref appThm appThm 17053 ref appThm appThm sym nil 13766 ref 400 ref 180 ref 2217 ref 187 ref 726 ref 17151 remove appTerm appTerm 2196 ref 726 ref 17188 remove appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm nil cons 17200 def cons nil cons cons nil cons cons 17201 def 416 ref subst 17201 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 17193 ref 17194 remove 13769 ref subst appThm 17202 def 17149 ref refl 17203 def appThm 17150 ref refl 17204 def appThm appThm appThm 2814 ref 3190 ref 17202 remove 17186 ref refl 17205 def appThm 17187 ref refl 17206 def appThm appThm appThm appThm appThm 1703 ref appThm appThm 17053 ref appThm sym 1131 ref 2793 ref 1368 ref 3190 ref 17193 ref nil 399 ref 17032 ref cons 400 ref 129 ref 14244 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 14244 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp appThm 17207 def 17203 remove appThm 17204 remove appThm nil 3191 ref 17150 ref nil cons cons 3192 ref 17149 remove nil cons cons nil cons cons nil cons cons 3211 ref subst trans appThm appThm 2814 ref 3190 ref 17207 remove 17205 remove appThm 17206 remove appThm nil 3191 ref 17187 ref nil cons cons 3192 ref 17186 remove nil cons cons nil cons cons nil cons cons 3211 ref subst trans appThm appThm appThm appThm 1703 ref appThm appThm 17053 ref appThm sym nil 3390 ref 187 ref 726 ref 7321 ref 16646 ref appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 16646 ref appTerm appTerm appTerm appTerm 17208 def nil cons cons nil cons nil cons cons 13058 remove subst nil 399 ref 167 ref "xi" 14 ref var 17209 def 180 ref 17208 ref appTerm 17209 ref varTerm 17210 def appTerm 17211 def absTerm 17212 def appTerm 17213 def nil cons cons 400 ref 180 ref 2217 ref 187 ref 726 ref 17150 remove appTerm appTerm 2196 ref 726 ref 17187 remove appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm 17214 def nil cons 17215 def cons nil cons 17216 def cons nil cons cons 459 ref subst nil 160 ref 17209 ref 41 ref 17212 ref 17210 ref appTerm 17217 def appTerm 17214 ref appTerm 17218 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 17209 remove nil 150 ref 17218 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 17217 ref nil cons 17219 def cons 17216 ref cons nil cons cons 17220 def 416 ref subst 17220 remove 467 ref subst 17217 ref betaConv 17217 remove assume eqMp nil 399 ref 17211 ref nil cons 17221 def cons 17222 def 17216 ref cons nil cons cons 17223 def 459 ref subst proveHyp 17223 ref 416 ref subst 17223 remove 467 ref subst 38 ref 41 ref 16066 ref 2186 ref 4837 ref 6910 ref 706 ref 42 ref 17 ref 707 ref 11912 ref 16079 remove appTerm absTerm appTerm appTerm 17224 def 42 ref 180 ref 187 ref 726 ref 12409 remove appTerm appTerm 17225 def 2196 ref 726 ref 12445 remove appTerm appTerm appTerm appTerm 17210 ref appTerm appTerm 17226 def 42 ref 17 ref 707 ref 4843 ref 180 ref 187 ref 726 ref 7321 ref 714 ref appTerm appTerm appTerm 17227 def 2196 ref 726 ref 7322 ref 714 remove appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm appTerm absTerm appTerm appTerm 17228 def 6929 ref 6941 ref 744 ref 11922 ref 11924 ref 11926 ref 13167 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 180 ref 2217 ref 187 ref 726 ref 7886 ref 11920 ref appTerm appTerm appTerm 17229 def 2196 ref 726 ref 7887 ref 11920 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 2195 ref 17210 ref appTerm 17230 def 17210 ref appTerm 17231 def appTerm 6903 ref appTerm appTerm 1011 ref appTerm 17232 def appTerm appTerm absTerm 17233 def 16646 remove appTerm 17234 def betaConv 37 ref 17 ref 38 ref 41 ref 16066 ref 2186 ref 4837 ref 6910 ref 706 ref 17224 ref 17226 ref 17228 ref 6929 ref 6941 ref 744 ref 11922 ref 11924 ref 11926 ref 15891 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 180 ref 2217 ref 17229 remove 11941 remove appTerm appTerm 1011 ref appTerm appTerm 17232 ref appTerm appTerm absTerm appTerm absTerm 17235 def 4996 remove appTerm 17236 def betaConv 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 16066 ref 2186 ref 4837 ref 6910 ref 706 ref 17224 ref 17226 ref 17228 ref 6929 ref 6941 ref 744 ref 11922 ref 11924 ref 11926 ref 15894 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 11942 ref 17232 ref appTerm 17237 def appTerm absTerm appTerm absTerm appTerm absTerm 17238 def 4994 remove appTerm 17239 def betaConv 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 16066 ref 2186 ref 4837 ref 6910 ref 706 ref 17224 ref 17226 ref 17228 remove 6929 ref 6941 ref 744 ref 11922 ref 11924 ref 11926 ref 15897 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 17237 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 17240 def 262 remove appTerm 17241 def betaConv 32 ref 34 ref 17240 ref appTerm 17242 def absTerm 17243 def 72 remove appTerm 17244 def betaConv 31 ref 11 ref 17243 ref appTerm 17245 def absTerm 17246 def 71 remove appTerm 17247 def betaConv 30 ref 11 ref 17246 ref appTerm 17248 def absTerm 17249 def 70 remove appTerm 17250 def betaConv 29 ref 11 ref 17249 ref appTerm 17251 def absTerm 17252 def 69 ref appTerm 17253 def betaConv 28 ref 17 ref 17252 ref appTerm 17254 def absTerm 17255 def 68 ref appTerm 17256 def betaConv 27 ref 17 ref 17255 ref appTerm 17257 def absTerm 17258 def 67 remove appTerm 17259 def betaConv 26 ref 11 ref 17258 ref appTerm 17260 def absTerm 17261 def 66 remove appTerm 17262 def betaConv 25 ref 11 ref 17261 ref appTerm 17263 def absTerm 17264 def 65 remove appTerm 17265 def betaConv 24 ref 11 ref 17264 ref appTerm 17266 def absTerm 17267 def 64 remove appTerm 17268 def betaConv 23 ref 17 ref 17267 ref appTerm 17269 def absTerm 17270 def 63 remove appTerm 17271 def betaConv 22 ref 11 ref 17270 ref appTerm 17272 def absTerm 17273 def 62 remove appTerm 17274 def betaConv 21 ref 11 ref 17273 ref appTerm 17275 def absTerm 17276 def 61 remove appTerm 17277 def betaConv 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 16066 ref 2186 ref 4837 ref 6910 ref 706 ref 17224 ref 17226 ref 42 ref 17 ref 707 ref 4843 ref 180 ref 17227 remove 4844 remove appTerm appTerm 17210 ref appTerm appTerm absTerm appTerm appTerm 6929 ref 6941 ref 744 ref 11922 ref 11924 ref 11926 ref 15936 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 17237 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 17278 def 238 ref appTerm 17279 def betaConv 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 16066 ref 2186 ref 4837 ref 6910 ref 706 ref 17224 ref 17226 remove 42 ref 17 ref 707 ref 4843 ref 4845 remove 17210 ref appTerm appTerm absTerm appTerm appTerm 17280 def 6929 ref 6941 ref 744 ref 11922 ref 11924 ref 11926 ref 15939 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 17237 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 17281 def 234 ref appTerm 17282 def betaConv 18 ref 11 ref 17281 ref appTerm 17283 def absTerm 17284 def 58 remove appTerm 17285 def betaConv 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 16066 ref 2186 ref 4837 ref 6910 ref 706 ref 17224 ref 42 ref 180 ref 17225 remove 2200 remove appTerm appTerm 17210 ref appTerm appTerm 17280 ref 6929 ref 6941 ref 744 ref 11922 ref 11924 ref 11926 ref 15945 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 17237 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 17286 def 238 remove appTerm 17287 def betaConv 12 ref 11 ref 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 697 ref 2186 ref 4837 ref 6910 ref 706 ref 17224 remove 42 ref 2202 remove 17210 ref appTerm appTerm 17288 def 17280 ref 6929 remove 6941 remove 744 remove 11922 remove 11924 remove 11926 remove 15948 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 17237 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 17289 def 234 remove appTerm 17290 def betaConv 6 ref 11 ref 12 ref 11 ref 13 ref 17 ref 18 ref 11 ref 19 ref 11 ref 20 ref 17 ref 21 ref 11 ref 22 ref 11 ref 23 ref 17 ref 24 ref 11 ref 25 ref 11 ref 26 ref 11 ref 27 ref 17 ref 28 ref 17 ref 29 ref 11 ref 30 ref 11 ref 31 ref 11 ref 32 ref 34 ref 35 ref 11 ref 36 ref 11 ref 37 ref 17 ref 38 ref 41 ref 697 ref 2186 ref 4837 ref 6910 ref 706 ref 11915 ref 17288 ref 17280 remove 11932 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 17237 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 17291 def 13142 remove appTerm 17292 def betaConv 1878 ref 34 ref 6 remove 11 ref 12 remove 11 ref 13 remove 17 ref 18 remove 11 ref 19 remove 11 ref 20 remove 17 ref 21 remove 11 ref 22 remove 11 ref 23 remove 17 ref 24 remove 11 ref 25 remove 11 ref 26 remove 11 ref 27 remove 17 ref 28 remove 17 ref 29 remove 11 ref 30 remove 11 ref 31 remove 11 ref 32 remove 34 ref 35 remove 11 ref 36 remove 11 ref 37 remove 17 ref 38 ref 41 ref 697 remove 2186 ref 4837 ref 6910 ref 706 ref 11915 remove 17288 remove 11933 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 11942 remove 2217 ref 2195 ref 17230 remove 1881 remove appTerm appTerm 6903 ref appTerm appTerm 1011 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 17293 def 17210 ref appTerm 17294 def betaConv 11992 remove 17210 ref appTerm 17295 def betaConv 12912 remove nil 399 ref 12001 remove cons 400 ref 17295 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 12002 remove 475 ref 17210 ref nil cons 17296 def cons nil cons 17297 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 17293 ref appTerm nil cons cons 400 ref 17294 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17293 remove nil cons cons 17297 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 34 ref 17291 ref appTerm nil cons cons 400 ref 17292 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 17291 remove nil cons cons 13998 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17289 ref appTerm nil cons cons 400 ref 17290 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17289 remove nil cons cons 9219 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17286 ref appTerm nil cons cons 400 ref 17287 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17286 remove nil cons cons 9485 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 17284 ref appTerm nil cons cons 400 ref 17285 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17284 remove nil cons cons 477 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17283 remove nil cons cons 400 ref 17282 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17281 remove nil cons cons 9219 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17278 ref appTerm nil cons cons 400 ref 17279 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17278 remove nil cons cons 9485 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 17276 ref appTerm nil cons cons 400 ref 17277 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17276 remove nil cons cons 483 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17275 remove nil cons cons 400 ref 17274 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17273 remove nil cons cons 484 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17272 remove nil cons cons 400 ref 17271 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17270 remove nil cons cons 485 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17269 remove nil cons cons 400 ref 17268 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17267 remove nil cons cons 487 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17266 remove nil cons cons 400 ref 17265 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17264 remove nil cons cons 488 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17263 remove nil cons cons 400 ref 17262 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17261 remove nil cons cons 489 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17260 remove nil cons cons 400 ref 17259 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17258 remove nil cons cons 490 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17257 remove nil cons cons 400 ref 17256 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17255 remove nil cons cons 492 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17254 remove nil cons cons 400 ref 17253 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17252 remove nil cons cons 494 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17251 remove nil cons cons 400 ref 17250 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17249 remove nil cons cons 495 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17248 remove nil cons cons 400 ref 17247 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17246 remove nil cons cons 496 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17245 remove nil cons cons 400 ref 17244 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17243 remove nil cons cons 497 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17242 remove nil cons cons 400 ref 17241 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 17240 remove nil cons cons 598 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17238 ref appTerm nil cons cons 400 ref 17239 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17238 remove nil cons cons 15952 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 11 ref 17235 ref appTerm nil cons cons 400 ref 17236 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 17235 remove nil cons cons 15953 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 17233 ref appTerm nil cons cons 400 ref 17234 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17233 remove nil cons cons 16656 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 16066 remove 2186 remove 4837 remove 6910 remove 706 remove 42 ref 17 ref 707 ref 11912 remove 16649 ref appTerm 17298 def absTerm 17299 def appTerm 17300 def appTerm 17301 def 42 ref 17211 ref appTerm 42 ref 17 ref 707 ref 4843 remove 180 ref 187 ref 726 ref 7321 ref 16648 ref appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 16648 ref appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm 17302 def appTerm 17303 def absTerm 17304 def appTerm 17305 def appTerm 17306 def 42 ref 17 ref 707 ref 6923 remove 180 ref 187 ref 726 ref 6924 ref 16648 ref appTerm appTerm appTerm 2196 ref 726 ref 6925 ref 16648 ref appTerm appTerm appTerm appTerm appTerm 710 ref appTerm 17307 def appTerm 17308 def absTerm 17309 def appTerm 17310 def appTerm 17311 def 42 ref 17 ref 707 ref 6935 remove 180 ref 187 ref 726 ref 6936 ref 16648 ref appTerm appTerm appTerm 2196 ref 726 ref 6937 ref 16648 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm 17312 def appTerm 17313 def absTerm 17314 def appTerm 17315 def appTerm 17316 def 16651 ref 42 ref 180 ref 726 ref 2214 ref 16647 remove 11919 ref appTerm 17317 def appTerm appTerm appTerm 2219 ref appTerm 17318 def appTerm 17319 def 42 ref 180 ref 726 ref 2220 ref 17317 ref appTerm appTerm appTerm 2224 ref appTerm 17320 def appTerm 17321 def 42 ref 180 ref 726 ref 2225 ref 17317 ref appTerm appTerm appTerm 2229 ref appTerm 17322 def appTerm 17323 def 13167 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm 17324 def appTerm 17325 def appTerm 180 ref 2217 ref 187 ref 726 ref 7886 ref 17317 ref appTerm appTerm appTerm 2196 ref 726 ref 7887 ref 17317 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 17232 ref appTerm 17326 def appTerm 17327 def nil cons cons 17216 remove cons nil cons cons 459 ref subst proveHyp 16155 remove nil 16156 remove 400 ref 17324 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 6358 remove 7064 remove 12494 remove 12024 remove 17301 ref refl 625 ref 1131 ref 17211 remove assume 17328 def appThm 17210 ref refl 17329 def appThm nil 17297 remove nil cons cons 1281 ref subst trans appThm 17306 ref refl 17311 ref refl 17316 ref refl 16664 remove 17319 ref refl 17321 ref refl 17323 remove refl 15855 remove appThm nil 150 ref 17322 ref nil cons 17330 def cons nil cons nil cons cons 1105 ref subst trans appThm appThm appThm appThm appThm appThm appThm nil 150 ref 17306 remove 17311 remove 17316 remove 16651 remove 17319 remove 17321 remove 17322 remove appTerm 17331 def appTerm 17332 def appTerm 17333 def appTerm 17334 def appTerm 17335 def appTerm 17336 def nil cons cons nil cons nil cons cons 633 ref subst trans appThm appThm nil 150 ref 17301 ref 17336 remove appTerm nil cons cons nil cons nil cons cons 633 ref subst 17337 def trans appThm 17337 ref trans appThm 17337 ref trans appThm 17337 remove trans sym nil 1828 ref 17335 remove nil cons cons 1811 ref 17305 ref nil cons 17338 def cons 1812 ref 17300 remove nil cons 17339 def cons nil cons cons cons nil cons cons 1828 ref 129 ref 4432 remove 42 ref 1816 ref appTerm 1831 ref appTerm appTerm 17340 def appTerm 42 ref 4433 remove appTerm 1831 ref appTerm 17341 def appTerm 17342 def absTerm 17343 def 1831 remove appTerm 17344 def betaConv 1811 ref 607 ref 17343 ref appTerm 17345 def absTerm 17346 def 1816 ref appTerm 17347 def betaConv 1812 ref 607 ref 17346 ref appTerm 17348 def absTerm 17349 def 1814 ref appTerm 17350 def betaConv 1843 ref 1812 ref 1843 ref 1811 ref 1843 ref 1828 ref 17342 remove assume sym 129 ref 17341 remove appTerm 17340 remove appTerm 17351 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 607 ref 1812 ref 607 ref 1811 ref 607 ref 1828 ref 17351 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 607 ref 17349 ref appTerm nil cons cons 400 ref 17350 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 17349 remove nil cons cons 1825 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17348 remove nil cons cons 400 ref 17347 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 17346 remove nil cons cons 1826 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17345 remove nil cons cons 400 ref 17344 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 17343 remove nil cons cons 1845 remove cons nil cons cons 469 ref subst eqMp eqMp 17352 def subst nil 1828 ref 17334 remove nil cons cons 1811 ref 17310 ref nil cons 17353 def cons 1812 ref 17301 remove 17305 remove appTerm 17354 def nil cons 17355 def cons nil cons cons cons nil cons cons 17352 ref subst nil 1828 ref 17333 remove nil cons cons 1811 ref 17315 ref nil cons 17356 def cons 1812 ref 42 ref 17354 remove appTerm 17310 remove appTerm 17357 def nil cons 17358 def cons nil cons cons cons nil cons cons 17352 ref subst nil 1828 ref 17332 remove nil cons cons 1811 ref 16665 remove cons 1812 ref 42 ref 17357 remove appTerm 17315 remove appTerm 17359 def nil cons 17360 def cons nil cons cons cons nil cons cons 17352 ref subst nil 1828 ref 17331 remove nil cons cons 1811 ref 17318 ref nil cons 17361 def cons 1812 ref 42 ref 17359 remove appTerm 16650 remove appTerm 17362 def nil cons 17363 def cons nil cons cons cons nil cons cons 17352 ref subst nil 1828 remove 17330 ref cons 1811 ref 17320 ref nil cons 17364 def cons 1812 ref 42 ref 17362 remove appTerm 17318 remove appTerm 17365 def nil cons 17366 def cons nil cons cons cons nil cons cons 17352 remove subst trans trans trans trans trans sym nil 160 ref 17299 remove nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 17298 remove nil cons cons nil cons nil cons cons 155 ref subst nil 12313 remove 400 ref 16649 remove nil cons 17367 def cons nil cons cons nil cons cons 17368 def 416 ref subst 17368 remove 467 ref subst 439 ref 16170 ref 1368 ref 1368 ref nil 12058 ref 1213 ref 16671 remove cons cons nil cons cons 2078 ref subst 1368 ref 1368 ref nil 1116 ref 16674 remove cons 14427 ref cons nil cons cons 2078 ref subst nil 1116 ref 14430 remove cons 14429 ref cons nil cons cons 2078 ref subst trans 14457 remove trans appThm 16207 ref appThm appThm 15062 ref appThm trans appThm 2100 ref appThm appThm 7652 ref appThm 17369 def appThm appThm 14029 ref appThm sym nil 160 ref 4831 ref 180 ref 187 ref 187 ref 187 ref 187 ref 4832 ref appTerm 17370 def 68 ref appTerm 17371 def appTerm 69 ref appTerm 17372 def appTerm 192 ref appTerm appTerm 708 ref appTerm appTerm 187 ref 187 ref 17370 ref 708 ref appTerm 17373 def appTerm 13137 ref appTerm appTerm 192 ref appTerm appTerm 17374 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 4831 ref nil 150 ref 17374 remove nil cons cons nil cons nil cons cons 155 ref subst 1131 ref nil 7790 ref 1237 ref 1006 ref 17372 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 14048 remove cons 17375 def 12476 ref 1006 ref 17371 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 1116 ref 11906 ref 8742 ref appTerm 17376 def nil cons cons 1213 ref 1006 ref 4832 ref nil cons 17377 def cons nil cons 17378 def cons cons nil cons cons 1169 ref subst trans trans appThm nil 2073 ref 13641 ref 1006 ref 17373 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 14046 ref 7670 ref 17378 ref cons cons nil cons cons 1169 ref subst trans 17370 remove refl 14051 remove 13645 ref appThm appThm trans appThm nil 1116 ref 7328 ref 12916 ref appTerm 17379 def nil cons cons 17380 def 1003 ref 747 ref 17376 remove appTerm 17381 def nil cons cons 17378 remove cons cons nil cons cons 1192 ref subst trans sym 180 ref 17381 ref appTerm refl nil 16187 ref 7647 ref cons nil cons cons 1210 ref subst appThm sym 1131 ref nil 17375 ref 13643 ref cons nil cons cons 17382 def 2078 ref subst nil 7790 ref 16188 remove cons nil cons cons 2078 ref subst trans appThm 16189 remove 7652 remove appThm appThm nil 475 ref 16191 remove 708 ref appTerm nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp eqMp absThm eqMp 17383 def 439 ref 16170 remove nil 475 ref 14466 remove nil cons 17384 def cons nil cons nil cons cons 475 ref 180 ref 187 ref 187 ref 187 ref 187 ref 689 ref appTerm 17385 def 68 ref appTerm appTerm 69 ref appTerm appTerm 192 ref appTerm appTerm 708 ref appTerm appTerm 187 ref 187 ref 17385 remove 708 ref appTerm appTerm 13137 ref appTerm appTerm 192 ref appTerm appTerm absTerm 17386 def 689 ref appTerm 17387 def betaConv nil 399 ref 17 ref 17386 ref appTerm nil cons cons 400 ref 17387 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17386 remove nil cons cons 4382 ref cons nil cons cons 469 ref subst eqMp eqMp subst 17388 def appThm appThm 14029 ref appThm sym 14068 remove nil 14070 remove 400 ref 129 ref 13973 remove 187 ref 14469 ref 13137 ref appTerm 17389 def appTerm 192 ref appTerm 17390 def appTerm appTerm 718 ref appTerm 17391 def nil cons 17392 def cons nil cons 17393 def cons nil cons cons 459 ref subst proveHyp 14073 remove 17391 remove refl appThm sym nil 14076 remove 17393 remove cons nil cons cons 17394 def 416 ref subst 17394 remove 467 ref subst 439 ref nil 38 ref 17389 ref nil cons cons nil cons nil cons cons 14080 remove subst appThm 14029 ref appThm sym 13729 ref nil 13731 ref 400 ref 129 ref 13656 ref 17389 remove appTerm appTerm 718 ref appTerm 17395 def nil cons 17396 def cons nil cons 17397 def cons nil cons cons 459 ref subst proveHyp 13737 ref 17395 remove refl appThm sym nil 13740 ref 17397 remove cons nil cons cons 17398 def 416 ref subst 17398 remove 467 ref subst 439 ref 14477 remove 13744 ref subst appThm 14029 ref appThm sym 439 ref 13812 ref 14507 remove appThm appThm 14029 remove appThm sym nil 14160 ref 400 ref 129 ref 14743 ref appTerm 17399 def 718 remove appTerm nil cons 17400 def cons nil cons 17401 def cons nil cons cons 17402 def 416 ref subst 17402 remove 467 ref subst 14799 ref nil 14802 ref 17401 ref cons nil cons cons 459 ref subst proveHyp 14803 ref 17399 remove refl 14163 remove appThm nil 150 ref 14743 remove nil cons cons nil cons nil cons cons 4418 ref subst trans appThm sym nil 160 ref 14804 ref 14807 ref 14763 ref appTerm 17403 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 14804 ref nil 150 ref 17403 remove nil cons cons nil cons nil cons cons 155 ref subst nil 14810 ref 400 ref 14763 ref nil cons 17404 def cons nil cons 17405 def cons nil cons cons 17406 def 416 ref subst 17406 remove 467 ref subst 14812 ref nil 14816 ref 17405 remove cons nil cons cons 17407 def 459 ref subst proveHyp 17407 ref 416 ref subst 17407 remove 467 ref subst 129 ref "_51078" 14 ref var 17408 def 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14221 ref 17408 remove varTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm 17409 def 708 ref appTerm 17410 def appTerm refl 17409 ref 14813 ref appTerm betaConv appThm 439 ref 17410 remove betaConv appThm 14829 ref refl appThm trans 17409 remove refl 14835 ref appThm eqMp sym 14234 remove 14805 ref appTerm 17411 def betaConv nil 16876 ref 400 ref 17411 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 16999 ref 14847 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14866 remove cons 400 ref 14829 ref nil cons 17412 def cons nil cons 17413 def cons nil cons cons 459 ref subst proveHyp nil 12071 ref 14883 ref cons nil cons cons 15831 ref subst sym 1003 ref 42 ref 698 ref 14813 ref appTerm 17414 def 1011 ref appTerm appTerm 17415 def 16289 ref appTerm absTerm 17416 def 11910 ref appTerm betaConv sym 625 ref nil 150 ref 17414 ref 11910 ref appTerm 17417 def nil cons cons nil cons nil cons cons 155 ref subst 129 ref "_51224" 14 ref var 17418 def 698 ref 17418 remove varTerm appTerm 11910 ref appTerm absTerm 17419 def 708 ref appTerm 17420 def appTerm refl 17419 ref 14813 ref appTerm betaConv appThm 439 ref 17420 remove betaConv appThm 17417 remove refl appThm trans 17419 remove refl 14835 ref appThm eqMp 11911 remove assume eqMp eqMp appThm nil 15072 ref 12500 remove cons nil cons cons 6045 ref subst nil 15071 ref 12503 remove cons nil cons cons 6045 ref subst nil 15070 ref 12504 remove cons nil cons cons 6045 ref subst nil 15069 ref 12505 remove cons nil cons cons 6045 ref subst nil 9592 ref 12190 remove cons nil cons cons 6045 ref subst trans trans trans trans appThm nil 150 ref 698 ref 207 remove appTerm 17421 def 732 ref appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym 17421 remove refl 17009 remove appThm 4021 remove 12799 ref subst trans sym 154 ref eqMp eqMp eqMp 162 ref 160 ref 17416 ref nil cons cons 17000 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 17416 remove appTerm nil cons cons 400 ref 17414 ref 11919 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14882 ref 1006 ref 14879 remove cons nil cons 17422 def cons nil cons cons 4776 ref subst eqMp eqMp nil 14928 ref 400 ref 14929 remove 14829 ref appTerm 17423 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 14932 remove 17413 remove cons nil cons cons 17424 def 416 ref subst 17424 remove 467 ref subst 14935 remove 14939 remove 14943 remove sym 154 ref eqMp proveHyp proveHyp eqMp nil 14988 remove 437 ref 17412 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 14989 ref 17423 remove appTerm nil cons cons 400 ref 14990 remove 14829 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 17412 remove cons 14992 remove cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 14993 ref 437 ref 17404 remove cons nil cons 17425 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 14995 ref 17425 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 14996 ref 14763 ref appTerm absTerm appTerm nil cons cons 400 ref 14997 ref 14763 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14998 ref 17425 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 14153 ref 437 ref 17400 ref cons nil cons 17426 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 14178 ref 17401 remove cons nil cons cons 17427 def 416 ref subst 17427 remove 467 ref subst 439 ref 13812 ref 7837 ref 14040 ref 4544 ref 14940 ref 14180 ref appThm 15009 remove trans appThm appThm appThm appThm 15012 remove trans appThm 14182 ref appThm 1523 ref trans sym 154 ref eqMp eqMp nil 14162 ref 17426 remove cons nil cons cons 451 ref subst deductAntisym eqMp 14196 ref nil 14162 ref 14197 ref 1553 ref 17400 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 14087 ref 437 ref 17396 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14088 remove 437 ref 17392 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp eqMp nil 435 ref 12309 remove cons 437 ref 17367 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17339 remove cons 400 ref 17338 remove cons nil cons cons nil cons cons 467 ref subst proveHyp nil 160 ref 17304 remove nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 17303 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 4842 remove nil cons 17428 def cons 400 ref 17302 remove nil cons 17429 def cons nil cons cons nil cons cons 17430 def 416 ref subst 17430 remove 467 ref subst nil 435 ref 4839 remove nil cons cons 437 ref 4841 ref nil cons 17431 def cons nil cons cons nil cons cons 515 ref subst 1131 ref 1368 ref 3190 ref 13789 ref 17369 ref appThm appThm appThm 2814 ref 3190 ref 9405 ref 17369 remove appThm appThm appThm appThm appThm 17329 ref appThm sym 17383 remove 1131 ref 1368 ref 3190 ref 13789 ref 17388 ref appThm appThm appThm 2814 ref 3190 ref 9405 ref 17388 remove appThm appThm appThm appThm appThm 17329 ref appThm sym nil 399 ref 17431 ref cons 17432 def 400 ref 180 ref 187 ref 726 ref 7321 ref 17390 ref appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 17390 remove appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm 17433 def nil cons cons 17434 def nil cons cons nil cons cons 459 ref subst 707 ref 41 ref 4841 ref appTerm 17433 ref appTerm 17435 def absTerm 17436 def 708 ref appTerm 17437 def betaConv 17438 def nil 399 ref 9281 remove 4840 ref appTerm 17439 def nil cons 17440 def cons 400 ref 180 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 14467 ref 191 ref appTerm 17441 def appTerm 13137 ref appTerm appTerm 192 ref appTerm 17442 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 17442 remove appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm 17443 def nil cons 17444 def cons nil cons 17445 def cons nil cons cons 17446 def 416 ref subst 17446 remove 467 ref subst nil 17222 remove 17445 remove cons nil cons cons 459 ref subst 165 ref 1131 ref 1368 ref 3190 ref 13789 ref 16744 ref appThm appThm appThm 2814 ref 3190 ref 9405 ref 16744 remove appThm appThm appThm appThm appThm 17329 ref appThm appThm 1131 ref 1368 ref 3190 ref 13789 ref nil 2073 ref 13641 ref 1006 ref 17441 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 14046 ref 1257 remove 1006 ref 17384 remove cons nil cons 17447 def cons cons nil cons cons 1169 ref subst nil 1116 ref 1259 remove 14044 remove appTerm 17448 def nil cons cons 14496 ref cons nil cons cons 1169 ref subst nil 1116 ref 14497 ref 17448 remove appTerm 17449 def nil cons cons 14429 ref cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 17449 remove appTerm nil cons cons 14427 ref cons nil cons cons 1169 ref subst trans trans trans trans 7837 ref 14040 ref 4544 ref 14506 ref nil 1003 ref 14045 remove cons nil cons nil cons cons 1264 ref subst 13645 ref trans appThm appThm appThm appThm trans 17450 def appThm appThm appThm 2814 ref 3190 ref 9405 ref 17450 remove appThm appThm appThm appThm appThm 17329 ref appThm appThm nil 150 ref 180 ref 187 ref 726 ref 7321 ref 16810 ref appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 16810 remove appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm nil cons cons nil cons nil cons cons 6664 ref subst trans sym 154 ref eqMp eqMp eqMp nil 435 ref 17440 remove cons 437 ref 17444 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 41 ref 17439 remove appTerm 17443 remove appTerm 17451 def nil cons cons 400 ref 17 ref 707 ref 41 ref 17435 ref appTerm 17452 def 41 ref 698 ref 7680 ref appTerm 17453 def 4840 ref appTerm 17454 def appTerm 180 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 14467 remove 7680 ref appTerm 17455 def appTerm 13137 ref appTerm 17456 def appTerm 192 ref appTerm 17457 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 17457 remove appTerm appTerm appTerm 17458 def appTerm appTerm 17210 ref appTerm 17459 def appTerm 17460 def appTerm 17461 def absTerm 17462 def appTerm 17463 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 160 ref 17462 remove nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 17461 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 17435 remove nil cons 17464 def cons 17465 def 400 ref 17460 remove nil cons 17466 def cons nil cons cons nil cons cons 17467 def 416 ref subst 17467 remove 467 ref subst nil 399 ref 17454 ref nil cons 17468 def cons 400 ref 17459 ref nil cons 17469 def cons nil cons 17470 def cons nil cons cons 17471 def 416 ref subst 17471 remove 467 ref subst 17040 ref nil 17042 ref 17470 ref cons nil cons cons 459 ref subst proveHyp 17045 ref 17459 remove refl appThm sym nil 17048 ref 17470 remove cons nil cons cons 17472 def 416 ref subst 17472 remove 467 ref subst 1131 ref 1368 ref 3190 ref nil 38 ref 17456 ref nil cons cons nil cons nil cons cons 17473 def 17052 ref subst appThm appThm 17458 ref refl appThm appThm 17329 ref appThm sym 17060 ref nil 17062 ref 400 ref 180 ref 187 ref 726 ref 17034 ref 17456 ref appTerm appTerm appTerm 17474 def 17458 remove appTerm appTerm 17210 ref appTerm 17475 def nil cons 17476 def cons nil cons 17477 def cons nil cons cons 459 ref subst proveHyp 17067 ref 17475 remove refl appThm sym nil 17070 ref 17477 remove cons nil cons cons 17478 def 416 ref subst 17478 remove 467 ref subst 1131 ref 17474 ref refl 2814 ref 3190 ref 17473 ref 17073 ref subst appThm appThm appThm appThm 17329 ref appThm sym 17090 ref nil 17092 ref 400 ref 180 ref 17474 remove 2196 ref 726 ref 17054 ref 17456 ref appTerm appTerm appTerm 17479 def appTerm appTerm 17210 ref appTerm 17480 def nil cons 17481 def cons nil cons 17482 def cons nil cons cons 459 ref subst proveHyp 17097 ref 17480 remove refl appThm sym nil 17100 ref 17482 remove cons nil cons cons 17483 def 416 ref subst 17483 remove 467 ref subst 1131 ref 1368 ref 3190 ref 17473 ref 17103 ref subst appThm appThm 17479 ref refl 17484 def appThm appThm 17329 ref appThm sym 17118 ref nil 17120 ref 400 ref 180 ref 187 ref 726 ref 3052 ref 13656 ref 17456 ref appTerm appTerm 17485 def 17075 ref 17456 ref appTerm appTerm 7321 ref 17456 ref appTerm 17486 def appTerm appTerm appTerm 17479 ref appTerm appTerm 17210 ref appTerm 17487 def nil cons 17488 def cons nil cons 17489 def cons nil cons cons 459 ref subst proveHyp 17126 ref 17487 remove refl appThm sym nil 17129 ref 17489 remove cons nil cons cons 17490 def 416 ref subst 17490 remove 467 ref subst 1131 ref 1368 ref 3190 ref 17485 ref refl 17491 def 17473 ref 17133 ref subst appThm 17486 ref refl 17492 def appThm appThm appThm 17484 remove appThm appThm 17329 ref appThm sym 17145 ref nil 17147 ref 400 ref 180 ref 187 ref 726 ref 17485 ref 3052 ref 13659 ref 17456 ref appTerm appTerm 17493 def 2192 ref 17456 ref appTerm 17494 def appTerm 7886 ref 17456 ref appTerm 17495 def appTerm 17496 def appTerm 17486 ref appTerm appTerm appTerm 17497 def 17479 remove appTerm appTerm 17210 ref appTerm 17498 def nil cons 17499 def cons nil cons 17500 def cons nil cons cons 459 ref subst proveHyp 17156 ref 17498 remove refl appThm sym nil 17159 ref 17500 remove cons nil cons cons 17501 def 416 ref subst 17501 remove 467 ref subst 1131 ref 17497 ref refl 17502 def 2814 ref 3190 ref 17473 ref 17163 ref subst appThm appThm appThm appThm 17329 ref appThm sym 17171 ref nil 17173 ref 400 ref 180 ref 17497 ref 2196 ref 726 ref 17485 ref 17135 ref 17456 ref appTerm appTerm 7322 ref 17456 ref appTerm 17503 def appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm 17504 def nil cons 17505 def cons nil cons 17506 def cons nil cons cons 459 ref subst proveHyp 17178 ref 17504 remove refl appThm sym nil 17181 ref 17506 remove cons nil cons cons 17507 def 416 ref subst 17507 remove 467 ref subst 1131 ref 17502 remove 2814 ref 3190 ref 17491 remove 17473 remove 17184 ref subst appThm 17503 ref refl 17508 def appThm appThm appThm appThm appThm 17329 ref appThm sym 13729 ref nil 13731 ref 400 ref 180 ref 17497 remove 2196 ref 726 ref 17485 remove 17493 remove 2197 ref 17456 ref appTerm 17509 def appTerm 7887 ref 17456 remove appTerm 17510 def appTerm 17511 def appTerm 17503 ref appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm 17512 def nil cons 17513 def cons nil cons 17514 def cons nil cons cons 459 ref subst proveHyp 13737 ref 17512 remove refl appThm sym nil 13740 ref 17514 remove cons nil cons cons 17515 def 416 ref subst 17515 remove 467 ref subst 1131 ref 1368 ref 3190 ref 17193 ref nil 38 ref 17455 ref nil cons cons nil cons nil cons cons 17516 def 13744 ref subst appThm 17517 def 17496 ref refl appThm 17492 ref appThm appThm appThm 2814 ref 3190 ref 17517 remove 17511 ref refl appThm 17508 ref appThm appThm appThm appThm appThm 17329 ref appThm sym 13754 ref nil 13756 ref 400 ref 180 ref 187 ref 726 ref 3052 ref 13720 ref 17455 ref appTerm appTerm 17518 def 17496 remove appTerm 17486 ref appTerm appTerm appTerm 2196 ref 726 ref 17518 ref 17511 remove appTerm 17503 ref appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm 17519 def nil cons 17520 def cons nil cons 17521 def cons nil cons cons 459 ref subst proveHyp 13763 ref 17519 remove refl appThm sym nil 13766 ref 17521 remove cons nil cons cons 17522 def 416 ref subst 17522 remove 467 ref subst 1131 ref 1368 ref 3190 ref 17518 ref refl 17523 def 17193 ref 17516 remove 13769 ref subst appThm 17524 def 17494 ref refl appThm 17495 ref refl appThm appThm 17492 remove appThm appThm appThm 2814 ref 3190 ref 17523 remove 17524 remove 17509 ref refl appThm 17510 ref refl appThm appThm 17508 remove appThm appThm appThm appThm appThm 17329 ref appThm sym 16870 remove nil 16876 remove 400 ref 16869 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 16999 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14420 remove cons 400 ref 180 ref 187 ref 726 ref 17518 ref 3052 ref 13746 ref 17455 remove appTerm appTerm 17525 def 17494 remove appTerm 17495 remove appTerm appTerm 17486 remove appTerm appTerm appTerm 2196 ref 726 ref 17518 remove 17525 remove 17509 remove appTerm 17510 remove appTerm appTerm 17503 remove appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm 17526 def nil cons 17527 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 12071 ref 7647 ref cons nil cons cons 17528 def 15831 ref subst sym 1003 ref 42 ref 17453 ref 1011 ref appTerm appTerm 16289 ref appTerm absTerm 17529 def 4840 remove appTerm betaConv sym 625 ref nil 150 ref 17468 ref cons nil cons nil cons cons 155 ref subst 17454 remove assume eqMp 17530 def appThm nil 15072 ref 6125 remove cons nil cons cons 6045 ref subst appThm nil 150 ref 7960 ref 11918 remove appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym 12510 ref nil 15070 ref 8334 ref cons nil cons cons 2078 ref subst appThm sym 12510 ref nil 15069 ref 12476 ref 8794 remove cons cons nil cons cons 2078 ref subst appThm sym 12510 ref nil 12063 ref 1006 ref 8880 remove 69 ref appTerm nil cons 17531 def cons nil cons cons nil cons cons 1210 ref subst appThm sym 12510 ref nil 1116 ref 17531 remove cons 12065 ref cons nil cons cons 1169 ref subst 1243 ref 1368 ref 2055 remove sym appThm 17532 def nil 12058 ref 8334 remove cons nil cons cons 1169 ref subst appThm nil 1116 ref 700 ref 701 ref 69 ref appTerm 17533 def appTerm 17534 def nil cons cons 1171 remove 4159 ref cons 17535 def cons nil cons cons 1169 ref subst trans appThm trans appThm nil 1116 ref 2714 ref 1173 ref 17534 remove appTerm 17536 def appTerm nil cons cons 1241 ref cons nil cons cons 6045 ref subst nil 1003 ref 17536 remove nil cons cons 4159 ref cons nil cons cons 6133 ref subst trans trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 17529 ref nil cons cons 475 ref 7427 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 17529 remove appTerm nil cons cons 400 ref 17453 ref 11919 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14882 ref 1006 ref 7680 ref nil cons 17537 def cons nil cons cons nil cons cons 4776 ref subst eqMp eqMp nil 14423 ref 400 ref 41 ref 14232 remove appTerm 17538 def 17526 ref appTerm 17539 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 17538 remove refl 1131 ref 1368 ref 3190 ref 17193 ref 13812 ref nil 1116 ref 17537 ref cons 14496 ref cons nil cons cons 1169 ref subst nil 1116 ref 14497 ref 7680 ref appTerm 17540 def nil cons cons 14429 ref cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 17540 remove appTerm nil cons cons 14427 ref cons nil cons cons 1169 ref subst trans trans 7837 ref 14040 ref 4544 ref 14506 ref 7648 remove 4539 ref subst 17541 def appThm appThm appThm appThm trans 17542 def appThm appThm 17543 def 17193 ref 13814 ref 17542 remove appThm appThm 17544 def 2192 ref refl 17545 def nil 13629 ref 1003 ref 17537 ref cons 17447 remove cons cons nil cons cons 1169 ref subst nil 1116 ref 187 ref 7680 ref appTerm 13137 ref appTerm 17546 def nil cons cons 14496 remove cons nil cons cons 1169 ref subst nil 1116 ref 14497 remove 17546 remove appTerm 17547 def nil cons cons 14429 ref cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 17547 remove appTerm nil cons cons 14427 ref cons nil cons cons 1169 ref subst trans trans trans 7837 ref 14040 ref 4544 ref 14506 ref 1368 ref 17541 remove appThm 13790 ref appThm 13630 remove trans appThm appThm appThm appThm trans 17548 def appThm appThm 7907 ref 17548 ref appThm appThm appThm 13789 ref 17548 ref appThm appThm appThm appThm 2814 ref 3190 ref 17543 remove 17544 remove 2197 ref refl 17549 def 17548 ref appThm appThm 7908 ref 17548 ref appThm appThm appThm 9405 ref 17548 remove appThm appThm appThm appThm appThm appThm 17329 ref appThm appThm sym nil 399 ref 14424 ref cons 400 ref 180 ref 187 ref 726 ref 3052 ref 14225 ref appTerm 17550 def 3052 ref 14227 ref appTerm 17551 def 2192 ref 713 ref 12941 ref 2714 ref 14221 ref 13632 remove appTerm appTerm appTerm appTerm 17552 def appTerm 17553 def appTerm 7886 ref 17552 ref appTerm 17554 def appTerm appTerm 7321 ref 17552 ref appTerm 17555 def appTerm appTerm appTerm 2196 ref 726 ref 17550 remove 17551 remove 2197 ref 17552 ref appTerm 17556 def appTerm 7887 ref 17552 ref appTerm 17557 def appTerm appTerm 7322 ref 17552 remove appTerm 17558 def appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm nil cons 17559 def cons nil cons cons nil cons cons 17560 def 416 ref subst 17560 remove 467 ref subst nil 435 ref 15962 remove cons 16626 remove cons nil cons cons 451 ref subst nil 435 ref 14226 remove nil cons 17561 def cons 437 ref 14227 ref nil cons 17562 def cons nil cons cons nil cons cons 17563 def 451 ref subst 17563 remove 515 ref subst 1131 ref 1368 ref 3190 ref 17193 ref nil 399 ref 17561 remove cons 400 ref 129 ref 14225 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 14225 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp appThm 17564 def 17193 ref nil 150 ref 17562 remove cons nil cons nil cons cons 155 ref subst 14227 remove assume eqMp appThm 17565 def 17553 ref refl appThm 17554 ref refl appThm nil 3191 ref 17554 remove nil cons cons 3192 ref 17553 remove nil cons cons nil cons 17566 def cons nil cons cons 3319 ref subst trans appThm 17555 ref refl appThm nil 3191 ref 17555 remove nil cons cons 17566 remove cons nil cons cons 3211 ref subst trans appThm appThm 2814 ref 3190 ref 17564 remove 17565 remove 17556 ref refl appThm 17557 ref refl appThm nil 3191 ref 17557 remove nil cons cons 3192 ref 17556 remove nil cons cons nil cons 17567 def cons nil cons cons 3319 ref subst trans appThm 17558 ref refl appThm nil 3191 ref 17558 remove nil cons cons 17567 remove cons nil cons cons 3211 ref subst trans appThm appThm appThm appThm 17329 ref appThm sym 1131 ref 13642 remove appThm 17568 def 12916 ref refl 17569 def appThm sym 13645 ref eqMp 17570 def 129 ref "_51228" 14 ref var 17571 def 180 ref 187 ref 726 ref 7321 ref 713 ref 12941 ref 2714 ref 14221 ref 7328 remove 17571 remove varTerm appTerm appTerm appTerm appTerm appTerm 17572 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 17572 remove appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm absTerm 17573 def 13631 ref appTerm 17574 def appTerm refl 17573 ref 12916 ref appTerm betaConv appThm 439 ref 17574 remove betaConv appThm 180 ref 187 ref 726 ref 7321 ref 713 ref 12941 ref 2714 ref 14221 ref 17379 remove appTerm 17575 def appTerm 17576 def appTerm appTerm 17577 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 17577 remove appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm 17578 def refl appThm trans 17573 remove refl 180 ref 13631 ref appTerm 17579 def 12916 ref appTerm assume 17580 def appThm eqMp sym nil 17465 remove 400 ref 17578 ref nil cons 17581 def cons nil cons cons nil cons cons 459 ref subst 1003 ref 7820 ref 7421 remove appTerm absTerm 17582 def 7680 ref appTerm betaConv sym 625 ref 7672 ref 12799 ref subst appThm 17583 def 17530 remove appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 17582 ref nil cons cons 475 ref 17537 remove cons nil cons 17584 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 17582 remove appTerm nil cons cons 400 ref 17431 remove cons nil cons cons nil cons cons 459 ref subst proveHyp nil 7428 remove 7647 ref cons nil cons cons 4776 ref subst eqMp nil 17432 ref 400 ref 41 ref 17433 remove appTerm 17578 ref appTerm 17585 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 1131 ref 1368 ref 3190 ref 13789 ref 1368 ref nil 12058 ref 1213 ref 1006 ref 14476 remove cons nil cons cons cons nil cons cons 2078 ref subst appThm 2100 ref appThm 17586 def appThm appThm appThm 2814 ref 3190 ref 9405 ref 17586 remove appThm appThm appThm appThm appThm 17329 ref appThm appThm 1131 ref 1368 ref 3190 ref 13789 ref nil 1116 ref 17576 remove nil cons cons 14427 ref cons nil cons cons 2078 ref subst nil 1116 ref 17575 remove nil cons cons 14429 ref cons nil cons cons 2078 ref subst nil 17380 remove 14434 remove cons nil cons cons 2078 ref subst nil 16201 ref 14438 remove cons nil cons cons 2078 ref subst nil 16204 ref 1213 ref 1006 ref 16682 remove 708 ref appTerm 17587 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 2073 ref 12476 ref 1006 ref 187 ref 17587 remove appTerm 68 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans trans trans 1368 ref 1368 ref 14459 remove 16207 ref appThm appThm 15062 ref appThm appThm 2100 ref appThm trans 17588 def appThm appThm appThm 2814 ref 3190 ref 9405 ref 17588 remove appThm appThm appThm appThm appThm 17329 remove appThm appThm nil 150 ref 180 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 14469 remove 68 ref appTerm appTerm 69 ref appTerm appTerm 192 ref appTerm 17589 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 17589 remove appTerm appTerm appTerm appTerm appTerm 17210 ref appTerm nil cons cons nil cons nil cons cons 6664 ref subst trans sym 154 ref eqMp eqMp nil 399 ref 42 ref 4841 remove appTerm 17585 remove appTerm nil cons cons 400 ref 17452 remove 17578 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 17581 remove cons 17434 remove 17432 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp proveHyp eqMp proveHyp proveHyp proveHyp eqMp nil 435 ref 14424 remove cons 437 ref 17559 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 399 ref 42 ref 14208 remove appTerm 17539 remove appTerm nil cons cons 400 ref 41 ref 14233 remove appTerm 17526 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 17527 remove cons 14425 remove 14423 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 14121 ref 437 ref 17520 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14087 ref 437 ref 17513 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 17180 remove cons 17590 def 437 ref 17505 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 17158 remove cons 17591 def 437 ref 17499 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 17128 remove cons 17592 def 437 ref 17488 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 17099 remove cons 17593 def 437 ref 17481 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 17069 remove cons 17594 def 437 ref 17476 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 17047 remove cons 17595 def 437 ref 17469 remove cons nil cons 17596 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 435 ref 17468 remove cons 17596 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 17464 remove cons 437 ref 17466 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 399 ref 42 ref 17451 remove appTerm 17463 remove appTerm nil cons cons 400 ref 17 ref 17436 ref appTerm nil cons 17597 def cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 625 ref 17436 ref 191 ref appTerm betaConv appThm 603 ref 707 ref 165 ref 17438 ref appThm 17436 ref 7680 ref appTerm betaConv appThm absThm appThm appThm appThm 603 ref 707 ref 17438 remove absThm appThm appThm nil 1329 ref 17436 remove nil cons 17598 def cons nil cons nil cons cons 1341 ref subst eqMp eqMp nil 399 ref 17597 remove cons 400 ref 17437 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17598 remove cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp nil 435 ref 17428 remove cons 437 ref 17429 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 399 ref 17355 remove cons 400 ref 17353 remove cons nil cons cons nil cons cons 467 ref subst proveHyp nil 160 ref 17309 remove nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 17308 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 6922 remove nil cons 17599 def cons 400 ref 17307 remove nil cons 17600 def cons nil cons cons nil cons cons 17601 def 416 ref subst 17601 remove 467 ref subst nil 435 ref 6918 remove nil cons cons 437 ref 6921 ref nil cons 17602 def cons nil cons cons nil cons cons 515 ref subst 1131 ref 1368 ref 3190 ref 7955 remove nil 7790 ref 16670 ref cons nil cons cons 1169 ref subst nil 17375 ref 16672 ref cons nil cons cons 1169 ref subst nil 1116 ref 14043 ref 8742 remove appTerm nil cons cons 17603 def 16673 ref cons nil cons cons 1169 ref subst trans trans 7837 ref nil 17603 ref 16675 ref cons nil cons cons 1169 ref subst 14040 ref nil 17603 remove 16676 ref cons nil cons cons 1169 ref subst 4544 ref 14940 ref 17382 remove 1169 ref subst appThm appThm trans appThm trans appThm trans 17604 def appThm appThm appThm 2814 ref 3190 ref 7956 remove 17604 ref appThm appThm appThm appThm appThm 6340 remove appThm sym 129 ref "_51074" 14 ref var 17605 def 4349 ref 2714 ref 14221 ref 17381 remove appTerm appTerm 17606 def appTerm 17607 def 17605 remove varTerm appTerm absTerm 17608 def 1017 ref appTerm 17609 def appTerm refl 17608 ref 13923 ref appTerm betaConv appThm 439 ref 17609 remove betaConv appThm 17607 ref 13923 ref appTerm refl appThm trans 17608 remove refl 13928 ref appThm eqMp sym 17610 def nil 160 ref 4831 ref 180 ref 2714 ref 14221 ref 747 ref 11906 ref 2714 ref 4832 ref appTerm 17611 def appTerm 17612 def appTerm 17613 def appTerm appTerm appTerm 12941 ref 2714 ref 14221 ref 4832 ref appTerm 17614 def appTerm appTerm appTerm 17615 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 4831 ref nil 150 ref 17615 remove nil cons cons nil cons nil cons cons 155 ref subst 1131 ref nil 1116 ref 17613 remove nil cons cons 16676 ref cons nil cons cons 2078 ref subst nil 1116 ref 17612 remove nil cons cons 16755 remove cons nil cons cons 2078 ref subst nil 1116 ref 17611 remove nil cons cons 16758 remove cons nil cons cons 2078 ref subst nil 1116 ref 17377 remove cons 17616 def 1237 ref 1006 ref 187 ref 16757 remove appTerm 69 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans 1368 ref 16759 remove appThm 4832 ref refl 17617 def appThm trans appThm nil 1116 ref 17614 remove nil cons cons 14041 ref cons nil cons cons 2078 ref subst nil 17616 ref 14431 remove 15771 remove cons cons nil cons cons 2078 ref subst trans 1368 ref 15773 ref refl 17618 def 14456 remove appThm appThm 17617 remove appThm trans appThm nil 1003 ref 15773 ref 14465 remove appTerm nil cons cons 17616 remove 1006 ref 187 ref 16767 remove appTerm 192 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans sym 1131 ref nil 2073 ref 12476 ref 1006 ref 16768 remove cons nil cons cons cons nil cons cons 1169 ref subst nil 16204 remove 1213 ref 1006 ref 16770 remove cons nil cons cons cons nil cons cons 1169 ref subst nil 16201 remove 16772 remove cons nil cons cons 1169 ref subst trans trans 4544 ref 14506 remove 17569 remove appThm appThm trans appThm nil 1116 ref 14494 remove cons 14041 ref cons nil cons cons 1169 ref subst 14040 ref 4544 ref 14505 remove appThm appThm trans appThm sym 180 ref 16746 remove appTerm 17619 def refl nil 16675 ref nil cons cons 1210 ref subst appThm sym 129 ref "_51076" 14 ref var 17620 def 17619 ref 16756 ref 17620 remove varTerm appTerm appTerm absTerm 17621 def 12917 ref appTerm 17622 def appTerm refl 17621 ref 12916 ref appTerm betaConv appThm 439 ref 17622 remove betaConv appThm 17619 remove 16756 remove 12916 ref appTerm appTerm refl appThm trans 17621 remove refl 15055 ref appThm eqMp sym 16754 remove eqMp eqMp eqMp eqMp eqMp absThm eqMp 17623 def 6344 ref nil 1093 ref nil cons cons 17624 def 475 ref 180 ref 2714 ref 14221 ref 747 ref 11906 ref 2714 ref 689 ref appTerm appTerm appTerm appTerm appTerm appTerm 12941 ref 2714 ref 14221 ref 689 ref appTerm appTerm appTerm appTerm absTerm 17625 def 689 ref appTerm 17626 def betaConv nil 399 ref 17 ref 17625 ref appTerm nil cons cons 400 ref 17626 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17625 remove nil cons cons 4382 remove cons nil cons cons 469 ref subst eqMp eqMp 17627 def subst appThm 13923 ref refl 17628 def appThm sym 17629 def 14536 remove 16458 ref subst 14541 remove 16458 ref subst trans sym 17630 def 1003 ref 14543 remove 4362 remove 13921 ref appTerm appTerm absTerm 17631 def 14548 ref appTerm betaConv sym 17632 def 14559 remove 4349 ref 14548 remove appTerm 17633 def 13921 ref appTerm 17634 def refl appThm nil 150 ref 17634 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym 17635 def 17633 remove refl 14575 remove appThm 14578 remove 16458 ref subst trans sym 17636 def 7669 remove 1223 ref 1229 ref 1235 ref 12506 ref 15386 remove 15534 remove 1324 ref subst trans appThm 12081 remove 1324 ref subst trans appThm 15531 remove 1324 ref subst trans appThm 15529 remove 1324 ref subst trans appThm 15527 remove 1324 ref subst trans 17637 def appThm 17528 remove 8499 remove subst trans sym 17638 def 1003 ref 7820 ref 16289 ref appTerm absTerm 17639 def 6920 ref appTerm betaConv sym 625 ref nil 150 ref 17602 remove cons nil cons nil cons cons 155 ref subst 6921 remove assume eqMp appThm nil 15072 ref 1003 ref 7985 remove cons 1221 ref cons cons nil cons cons 6045 ref subst nil 15071 ref 1231 ref 1227 ref cons cons nil cons cons 6045 ref subst trans appThm nil 150 ref 7960 ref 11917 remove appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym 12510 ref nil 15069 ref 12476 ref 1233 ref cons cons nil cons cons 2078 ref subst appThm sym 12510 ref nil 12063 remove 1006 ref 17533 ref nil cons 17640 def cons nil cons cons nil cons cons 1210 ref subst appThm sym 12510 ref nil 1116 ref 17640 remove cons 17641 def 12065 remove cons nil cons cons 1169 ref subst 1243 ref 17532 ref 17533 ref refl appThm nil 17641 remove 17535 ref cons nil cons cons 1169 ref subst trans appThm trans appThm nil 1116 ref 2714 ref 1173 remove 17533 remove appTerm 17642 def appTerm nil cons cons 1241 ref cons nil cons cons 6045 ref subst nil 1003 ref 17642 remove nil cons cons 4159 ref cons nil cons cons 6133 ref subst trans trans sym 154 ref eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 17639 ref nil cons cons 17643 def 475 ref 6920 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 17639 ref appTerm nil cons cons 400 ref 709 ref 11919 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst 17644 def proveHyp nil 14882 ref 7647 ref cons nil cons cons 4776 ref subst 17645 def eqMp eqMp eqMp eqMp eqMp 162 ref 160 ref 17631 ref nil cons cons 14590 remove cons nil cons cons 3525 ref subst 17646 def proveHyp nil 399 ref 167 ref 17631 remove appTerm nil cons cons 400 ref 4349 ref 14511 remove appTerm 13921 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst 17647 def proveHyp 14591 remove 16505 remove subst 17648 def eqMp eqMp eqMp proveHyp eqMp nil 399 ref 17607 remove 1017 ref appTerm nil cons cons 17649 def 400 ref 180 ref 187 ref 726 ref 6924 remove 713 ref 12941 ref 17606 ref appTerm appTerm 17650 def appTerm appTerm appTerm 2196 ref 726 ref 6925 remove 17650 ref appTerm appTerm appTerm appTerm appTerm 710 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 707 ref 17606 remove nil cons cons nil cons nil cons cons 17651 def 12960 ref 708 ref appTerm 17652 def betaConv nil 399 ref 13317 remove cons 400 ref 17652 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 12960 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp eqMp proveHyp eqMp nil 435 ref 17599 remove cons 437 ref 17600 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 399 ref 17358 remove cons 400 ref 17356 remove cons nil cons cons nil cons cons 467 ref subst proveHyp nil 160 ref 17314 remove nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 17313 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 6934 remove nil cons 17653 def cons 400 ref 17312 remove nil cons 17654 def cons nil cons cons nil cons cons 17655 def 416 ref subst 17655 remove 467 ref subst nil 435 ref 6932 remove nil cons cons 437 ref 6933 ref nil cons 17656 def cons nil cons cons nil cons cons 515 ref subst 1131 ref 1368 ref 3190 ref 8312 remove 17604 ref appThm appThm appThm 2814 ref 3190 ref 8313 remove 17604 remove appThm appThm appThm appThm appThm 1703 ref appThm sym 17610 remove 17623 ref 17629 remove 17630 remove 17632 remove 17635 remove 17636 remove 17638 remove 17639 remove 704 remove appTerm betaConv sym 625 ref nil 150 ref 17656 remove cons nil cons nil cons cons 155 ref subst 6933 remove assume eqMp appThm nil 15072 ref 1222 remove cons nil cons cons 6045 ref subst nil 15071 ref 1228 remove cons nil cons cons 6045 ref subst nil 15070 ref 1234 remove cons nil cons cons 6045 ref subst trans trans appThm nil 150 ref 7960 remove 11916 remove appTerm nil cons cons nil cons nil cons cons 633 ref subst trans sym 12510 ref 12082 remove appThm sym 12510 remove 12066 remove 1243 ref 17532 remove 15062 ref appThm nil 12058 ref 17535 remove cons nil cons cons 1169 ref subst trans appThm trans appThm nil 1116 ref 2714 ref 16557 remove appTerm nil cons cons 1241 remove cons nil cons cons 6045 ref subst nil 1003 ref 16558 remove cons 4159 ref cons nil cons cons 6133 ref subst trans trans sym 154 ref eqMp eqMp eqMp eqMp 162 ref 17643 remove 475 ref 1004 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp 17644 remove proveHyp 17645 remove eqMp eqMp eqMp eqMp eqMp 17646 remove proveHyp 17647 remove proveHyp 17648 remove eqMp eqMp eqMp proveHyp eqMp nil 17649 remove 400 ref 180 ref 187 ref 726 ref 6936 remove 17650 ref appTerm appTerm appTerm 2196 ref 726 ref 6937 remove 17650 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 17651 remove 12963 ref 708 ref appTerm 17657 def betaConv nil 399 ref 13319 remove cons 400 ref 17657 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 12963 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp eqMp proveHyp eqMp nil 435 ref 17653 remove cons 437 ref 17654 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 399 ref 17360 remove cons 16743 remove cons nil cons cons 467 ref subst proveHyp 16811 remove eqMp nil 399 ref 17363 remove cons 400 ref 17361 remove cons nil cons cons nil cons cons 467 ref subst proveHyp 1131 ref 3190 ref 2214 ref refl nil 14882 remove 16670 remove cons nil cons cons 1169 ref subst nil 1116 ref 2714 ref 11919 ref appTerm 17658 def nil cons 17659 def cons 17660 def 16672 remove cons nil cons cons 1169 ref subst nil 1116 ref 14043 remove 17658 ref appTerm nil cons cons 17661 def 16673 remove cons nil cons cons 1169 ref subst trans trans 7837 ref nil 17661 ref 16675 remove cons nil cons cons 1169 ref subst 14040 ref nil 17661 remove 16676 remove cons nil cons cons 1169 ref subst 4544 ref 14940 ref nil 17660 remove 13643 ref cons nil cons cons 17662 def 1169 ref subst appThm appThm trans appThm trans appThm trans 17663 def appThm appThm appThm 12814 remove appThm sym 129 ref "_51062" 14 ref var 17664 def 4349 ref 2714 ref 14221 remove 747 remove 11906 ref 17658 remove appTerm appTerm 17665 def appTerm 17666 def appTerm 17667 def appTerm 17668 def 17664 remove varTerm appTerm absTerm 17669 def 1017 ref appTerm 17670 def appTerm refl 17669 ref 13923 ref appTerm betaConv appThm 439 ref 17670 remove betaConv appThm 17668 ref 13923 ref appTerm refl appThm trans 17669 remove refl 13928 ref appThm eqMp sym 17623 remove 6344 ref nil 14587 remove nil cons cons 17627 remove subst appThm 17628 remove appThm sym 16938 remove 16458 ref subst 16939 remove 16458 ref subst trans sym nil 1003 ref 14537 ref cons 17671 def 16943 remove cons nil cons cons 15831 ref subst 4701 ref 16946 remove 14974 ref subst 1368 ref 16776 remove appThm 15528 remove 1223 ref 15530 remove 1229 ref 15532 remove 1235 ref 15533 remove 12506 ref 15535 remove appThm trans appThm trans appThm trans appThm trans appThm trans appThm 15388 remove 16760 ref appThm appThm trans sym 698 ref 187 ref 16787 remove appTerm 16783 remove appTerm appTerm refl nil 13603 ref 16785 remove nil cons 17672 def cons nil cons cons 14574 ref subst appThm sym nil 1116 ref 16786 remove 13586 ref appTerm nil cons cons 16788 remove cons nil cons cons 4718 ref subst nil 14366 remove 14550 ref 17672 remove cons cons nil cons cons 6066 ref subst trans 1508 ref 16795 remove appThm 14556 remove appThm 11371 remove trans trans sym 154 ref eqMp eqMp eqMp eqMp eqMp proveHyp eqMp 17673 def nil 399 ref 17668 remove 1017 ref appTerm nil cons cons 17674 def 400 ref 180 ref 726 ref 2214 remove 713 ref 12941 ref 17667 ref appTerm 17675 def appTerm 17676 def appTerm appTerm appTerm 2219 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 707 ref 17667 remove nil cons 17677 def cons nil cons nil cons cons 17678 def 12969 ref 708 ref appTerm 17679 def betaConv nil 399 ref 13323 remove cons 400 ref 17679 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 12969 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp eqMp eqMp nil 399 ref 17366 remove cons 400 ref 17364 remove cons nil cons cons nil cons cons 467 ref subst proveHyp 1131 ref 3190 ref 2220 ref refl 17663 ref appThm appThm appThm 12815 remove appThm sym 17673 ref nil 17674 ref 400 ref 180 ref 726 ref 2220 remove 17676 ref appTerm appTerm appTerm 2224 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 17678 ref 12972 ref 708 ref appTerm 17680 def betaConv nil 399 ref 13325 remove cons 400 ref 17680 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 12972 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp eqMp eqMp nil 399 ref 42 ref 17365 remove appTerm 17320 remove appTerm nil cons cons 400 ref 17330 remove cons nil cons cons nil cons cons 467 ref subst proveHyp 1131 ref 3190 ref 2225 ref refl 17663 ref appThm appThm appThm 12816 remove appThm sym 17673 remove nil 17674 remove 400 ref 180 ref 726 ref 2225 remove 17676 ref appTerm appTerm appTerm 2229 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 17678 remove 12975 ref 708 ref appTerm 17681 def betaConv nil 399 ref 13327 remove cons 400 ref 17681 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 12975 remove nil cons cons 1093 ref cons nil cons cons 469 ref subst eqMp eqMp subst eqMp eqMp eqMp eqMp eqMp eqMp nil 399 ref 17325 ref nil cons cons 17682 def 400 ref 41 ref 17326 ref appTerm 17214 ref appTerm 17683 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 1131 ref 2793 ref 1368 ref 3190 ref 7907 ref 17663 ref appThm appThm appThm 2814 ref 3190 ref 7908 ref 17663 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm 17232 ref refl appThm appThm 1131 ref 2793 ref 1368 ref 3190 ref 7907 remove nil 13629 ref 1003 ref 14240 remove nil cons cons 7786 ref cons cons nil cons cons 1169 ref subst 7837 ref nil 13629 ref 1003 ref 14239 remove nil cons cons 13635 ref cons cons nil cons cons 1169 ref subst 14040 ref nil 13629 ref 1003 ref 16808 remove cons 4159 ref cons cons nil cons cons 1169 ref subst appThm trans appThm trans 17684 def appThm appThm appThm 2814 ref 3190 ref 7908 remove 17684 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm 17053 ref appThm appThm sym nil 1116 ref 12941 ref 2714 ref 187 ref 14238 remove appTerm 13137 ref appTerm 17685 def appTerm 17686 def appTerm 17687 def nil cons cons 1003 ref 17675 remove nil cons cons 7786 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 17686 remove nil cons cons 1003 ref 17677 remove cons 13635 ref cons cons nil cons cons 1192 ref subst nil 1116 ref 17685 remove nil cons cons 1003 ref 17666 ref nil cons cons 4159 ref cons cons nil cons cons 1192 ref subst trans trans 180 ref 17666 remove appTerm refl 1368 ref 16881 remove appThm 13790 ref appThm nil 13629 ref 14589 ref 14609 ref cons cons nil cons cons 1169 ref subst 14940 remove nil 13629 ref 15306 ref cons nil cons cons 1169 ref subst 1223 ref nil 13629 ref 15310 ref cons nil cons cons 1169 ref subst 1229 ref nil 13629 ref 15311 ref cons nil cons cons 1169 ref subst 1235 ref nil 13629 ref 15312 ref cons nil cons cons 1169 ref subst 12506 ref nil 13629 ref 15316 ref cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm trans trans appThm nil 1116 ref 699 ref 700 ref 701 ref 11906 ref 189 ref 9356 ref 13137 ref appTerm 17688 def appTerm 17689 def appTerm 17690 def appTerm 17691 def appTerm appTerm nil cons cons 1003 ref 17665 remove nil cons cons 14609 remove cons cons nil cons cons 1192 ref subst trans trans sym 1131 ref 17662 remove 2078 ref subst appThm nil 1116 ref 17691 ref nil cons cons 2082 remove cons nil cons cons 2078 ref subst appThm sym 1131 ref nil 1003 ref 17659 ref cons 15973 remove cons nil cons cons 1210 ref subst appThm 2092 remove 17691 remove appTerm refl appThm sym 1131 ref nil 12058 ref 1213 ref 1006 ref 17659 remove cons nil cons cons cons nil cons cons 2078 ref subst 1368 ref 1368 ref nil 15072 remove 12218 remove cons nil cons cons 17692 def 2078 ref subst nil 15071 remove 12220 remove cons nil cons cons 17693 def 2078 ref subst nil 15070 remove 12222 remove cons nil cons cons 17694 def 2078 ref subst nil 15069 remove 12476 remove 12224 remove cons cons nil cons cons 17695 def 2078 ref subst nil 9592 remove 2091 remove 1006 ref 12225 remove 69 remove appTerm 17696 def nil cons cons nil cons cons cons nil cons cons 17697 def 2078 ref subst trans trans trans trans appThm 16207 remove appThm appThm 15062 remove appThm trans appThm nil 1116 ref 17690 remove nil cons cons 2089 remove cons nil cons cons 2078 ref subst nil 1116 ref 17689 remove nil cons cons 14448 remove cons nil cons cons 2078 ref subst nil 1116 ref 17688 remove nil cons cons 14451 remove cons nil cons cons 2078 ref subst nil 13629 ref 16023 remove cons nil cons cons 2078 ref subst nil 12058 ref 1213 remove 16025 remove cons cons nil cons cons 2078 ref subst trans trans trans trans appThm nil 1003 ref 16027 remove 68 ref appTerm nil cons cons 12058 remove 1006 ref 187 ref 187 ref 187 ref 17696 remove appTerm 188 remove appTerm appTerm 732 remove appTerm 17698 def appTerm 68 ref appTerm nil cons cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 16024 remove cons 1132 remove 1006 ref 17698 remove nil cons cons nil cons cons cons nil cons cons 2889 ref subst trans trans sym 1131 ref 17697 remove 1169 ref subst 17695 remove 1169 ref subst 17694 remove 1169 ref subst 17693 remove 1169 ref subst 17692 remove 1169 ref subst trans trans trans trans appThm 14503 remove appThm sym 1131 ref nil 12071 ref 4159 ref cons nil cons cons 1210 ref subst appThm 12928 ref refl 17699 def appThm sym 16894 remove eqMp eqMp eqMp eqMp eqMp eqMp 129 ref "_51230" 14 ref var 17700 def 41 ref 180 ref 2217 ref 187 ref 726 ref 7886 ref 17700 remove varTerm 17701 def appTerm appTerm appTerm 2196 ref 726 ref 7887 ref 17701 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 17232 ref appTerm appTerm 180 ref 2217 ref 187 ref 726 ref 7886 ref 713 ref 17687 remove appTerm 17702 def appTerm appTerm appTerm 2196 ref 726 ref 7887 ref 17702 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm 17703 def appTerm 17704 def 14250 ref appTerm 17705 def appTerm absTerm 17706 def 17676 ref appTerm 17707 def appTerm refl 17706 ref 17702 ref appTerm betaConv appThm 439 ref 17707 remove betaConv appThm 41 ref 17704 remove 17232 ref appTerm 17708 def appTerm 17705 ref appTerm refl appThm trans 17706 remove refl 180 ref 17676 remove appTerm 17702 remove appTerm assume appThm eqMp sym nil 399 ref 17708 ref nil cons 17709 def cons 400 ref 17705 remove nil cons 17710 def cons nil cons cons nil cons cons 17711 def 416 ref subst 17711 remove 467 ref subst 129 ref "_51232" 14 ref var 17712 def 180 ref 17712 remove varTerm appTerm 14250 ref appTerm absTerm 17713 def 17703 remove appTerm 17714 def appTerm refl 17713 ref 17232 ref appTerm betaConv appThm 439 ref 17714 remove betaConv appThm 180 ref 17232 remove appTerm 14250 ref appTerm 17715 def refl 17716 def appThm trans 17713 remove refl 17708 remove assume appThm eqMp sym 1003 ref 17 ref 1006 ref 17 ref 1116 ref 3268 ref 180 ref 2217 ref 2195 ref 3432 remove appTerm 17717 def 1117 ref appTerm appTerm 1011 ref appTerm 17718 def appTerm 2217 ref 2867 ref appTerm 1011 ref appTerm 17719 def appTerm 17720 def appTerm absTerm appTerm absTerm appTerm 17721 def absTerm 17722 def 1011 ref appTerm 17723 def betaConv nil 17 ref 17722 ref appTerm 17724 def axiom nil 399 ref 17724 remove nil cons cons 400 ref 17723 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17722 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 17725 def nil 399 ref 17721 remove nil cons cons 17726 def 400 ref 17715 remove nil cons 17727 def cons nil cons 17728 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 1006 ref 603 ref 1116 ref 3409 ref 17720 ref refl appThm nil 150 ref 17720 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm absThm appThm appThm 17729 def 17716 remove appThm sym nil 399 ref 17 ref 1006 ref 17 ref 1116 ref 17720 ref absTerm 17730 def appTerm 17731 def absTerm 17732 def appTerm 17733 def nil cons 17734 def cons 17735 def 17728 remove cons nil cons cons 17736 def 416 ref subst 17736 remove 467 ref subst 1131 ref nil 1116 ref 9019 ref cons 17737 def 1006 ref 17231 ref nil cons cons nil cons cons nil cons cons 1116 ref 180 ref 17719 ref appTerm 17738 def 17718 remove appTerm 17739 def absTerm 17740 def 1117 ref appTerm 17741 def betaConv 1006 ref 17 ref 17740 ref appTerm 17742 def absTerm 17743 def 1009 ref appTerm 17744 def betaConv 603 ref 1006 ref 603 ref 1116 ref 17739 remove assume sym 17720 remove assume sym deductAntisym absThm appThm absThm appThm 17733 remove assume eqMp nil 399 ref 17 ref 17743 ref appTerm nil cons cons 400 ref 17744 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17743 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17742 remove nil cons cons 400 ref 17741 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17740 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 17053 ref appThm sym 1003 ref 17 ref 1006 ref 17 ref 1116 ref 3268 ref 180 ref 2217 ref 17717 remove 2217 ref 1117 ref appTerm 1011 ref appTerm 17745 def appTerm appTerm 1011 ref appTerm 17746 def appTerm 17719 ref appTerm 17747 def appTerm absTerm appTerm absTerm appTerm 17748 def absTerm 17749 def 1011 ref appTerm 17750 def betaConv nil 17 ref 17749 ref appTerm 17751 def axiom nil 399 ref 17751 remove nil cons cons 400 ref 17750 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17749 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 17752 def nil 399 ref 17748 remove nil cons cons 17753 def 400 ref 180 ref 2217 ref 2195 ref 2217 ref 17231 remove appTerm 1011 ref appTerm appTerm 6903 ref appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm 17754 def nil cons 17755 def cons nil cons 17756 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 1006 ref 603 ref 1116 ref 3409 ref 17747 ref refl appThm nil 150 ref 17747 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm absThm appThm appThm 17757 def 17754 remove refl appThm sym nil 399 ref 17 ref 1006 ref 17 ref 1116 ref 17747 ref absTerm 17758 def appTerm 17759 def absTerm 17760 def appTerm 17761 def nil cons 17762 def cons 17763 def 17756 remove cons nil cons cons 17764 def 416 ref subst 17764 remove 467 ref subst 1131 ref 2793 ref 3238 ref nil 1116 ref 17296 ref cons 1006 ref 17296 remove cons nil cons cons nil cons cons 1116 ref 17738 ref 17746 remove appTerm 17765 def absTerm 17766 def 1117 ref appTerm 17767 def betaConv 1006 ref 17 ref 17766 ref appTerm 17768 def absTerm 17769 def 1009 ref appTerm 17770 def betaConv 603 ref 1006 ref 603 ref 1116 ref 17765 remove assume sym 17747 remove assume sym deductAntisym absThm appThm absThm appThm 17761 remove assume eqMp nil 399 ref 17 ref 17769 ref appTerm nil cons cons 400 ref 17770 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17769 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17768 remove nil cons cons 400 ref 17767 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17766 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 6903 ref refl 17771 def appThm appThm 1703 ref appThm appThm 17053 ref appThm sym 129 ref "_51236" 14 ref var 17772 def 180 ref 2217 ref 17772 remove varTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 4370 ref 738 ref 14206 ref appTerm 17773 def appTerm 17774 def appTerm 17775 def 4868 ref appTerm 17776 def appTerm 1011 ref appTerm 17777 def appTerm absTerm 17778 def 17210 ref appTerm 17779 def appTerm refl 17778 ref 17208 ref appTerm betaConv appThm 439 ref 17779 remove betaConv appThm 180 ref 2217 ref 17208 remove appTerm 1011 ref appTerm appTerm 17777 ref appTerm 17780 def refl 17781 def appThm trans 17778 remove refl 17328 remove sym appThm eqMp sym nil 14269 ref 400 ref 17780 ref nil cons 17782 def cons nil cons 17783 def cons nil cons cons 17784 def 416 ref subst 17784 remove 467 ref subst 14279 ref nil 14282 ref 17783 ref cons nil cons cons 459 ref subst proveHyp 14285 ref 17781 remove appThm sym nil 160 ref 14286 ref 14289 ref 17780 ref appTerm 17785 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 14286 ref nil 150 ref 17785 remove nil cons cons nil cons nil cons cons 155 ref subst nil 14292 ref 17783 ref cons nil cons cons 17786 def 416 ref subst 17786 remove 467 ref subst 14294 ref nil 14298 ref 17783 ref cons nil cons cons 17787 def 459 ref subst proveHyp 17787 ref 416 ref subst 17787 remove 467 ref subst 129 ref "_51238" 14 ref var 17788 def 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 713 ref 12941 ref 2714 ref 13043 ref 17788 remove varTerm 17789 def appTerm appTerm appTerm appTerm appTerm 13137 ref appTerm appTerm 192 ref appTerm 17790 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 17790 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 4370 ref 738 ref 17789 remove appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm absTerm 17791 def 14206 ref appTerm 17792 def appTerm refl 17793 def 17791 ref 14295 ref appTerm betaConv appThm 439 ref 17792 remove betaConv appThm 17794 def 14333 ref refl appThm trans 17791 remove refl 17795 def 14308 ref appThm eqMp sym 14321 ref nil 14347 ref 400 ref 15045 ref cons nil cons 17796 def cons nil cons cons 459 ref subst proveHyp 16263 ref nil 16264 ref 400 ref 14381 ref 14333 ref appTerm 17797 def nil cons cons nil cons 17798 def cons nil cons cons 467 ref subst proveHyp 14368 ref nil 14369 ref 400 ref 14370 ref 14333 ref appTerm 17799 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 14373 ref 17796 remove cons nil cons cons 17800 def 416 ref subst 17800 remove 467 ref subst 14377 ref 15041 ref 15044 ref 15046 remove 451 ref subst proveHyp proveHyp proveHyp eqMp nil 14379 ref 437 ref 15045 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 14380 ref 17799 remove appTerm nil cons cons 17798 remove cons nil cons cons 459 ref subst proveHyp nil 1559 ref 15045 remove cons 17801 def 14382 ref cons nil cons cons 2139 ref subst eqMp eqMp nil 399 ref 16341 ref 17797 remove appTerm nil cons cons 400 ref 16342 ref 14333 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 17801 remove 16343 ref cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 14383 ref 437 ref 17782 ref cons nil cons 17802 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 14385 ref 17802 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 14280 remove 4832 ref appTerm appTerm 17780 ref appTerm absTerm appTerm nil cons cons 400 ref 14387 ref 17780 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14388 ref 17802 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 14389 ref 17802 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 14390 ref 17783 remove cons nil cons cons 17803 def 416 ref subst 17803 remove 467 ref subst 17793 remove "_51384" 14 ref var 17804 def 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 713 ref 12941 ref 2714 ref 13043 ref 17804 remove varTerm 17805 def appTerm appTerm appTerm appTerm appTerm 13137 ref appTerm appTerm 192 ref appTerm 17806 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 17806 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 4370 ref 738 ref 17805 remove appTerm appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm absTerm 191 ref appTerm betaConv appThm 17794 remove 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 15843 remove appTerm 13137 ref appTerm appTerm 192 ref appTerm 17807 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 17807 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 2217 ref 2195 ref 4370 remove 6606 remove appTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm refl appThm trans 17795 remove 14395 ref appThm eqMp sym 1131 ref 2793 ref 1368 ref 3190 ref 13789 ref 1368 ref 1368 ref 15845 remove appThm 13790 ref appThm appThm 2100 ref appThm 17808 def appThm appThm appThm 2814 ref 3190 ref 9405 ref 17808 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm 2793 ref 3238 ref 13610 ref 3250 remove 1006 ref 180 ref 4678 remove 191 ref appTerm appTerm 192 ref appTerm absTerm 17809 def 1009 ref appTerm 17810 def betaConv nil 17 ref 17809 ref appTerm 17811 def axiom nil 399 ref 17811 remove nil cons cons 400 ref 17810 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17809 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 4361 remove 1003 ref 180 ref 737 remove 1011 ref appTerm 192 ref appTerm appTerm 1011 ref appTerm absTerm 17812 def 1011 ref appTerm 17813 def betaConv nil 17 ref 17812 ref appTerm 17814 def axiom nil 399 ref 17814 remove nil cons cons 400 ref 17813 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17812 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst trans appThm 13614 ref appThm appThm 1703 ref appThm appThm sym 17040 ref nil 17042 ref 400 ref 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 14183 remove appTerm 13137 ref appTerm 17815 def appTerm 192 ref appTerm 17816 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 17816 remove appTerm appTerm appTerm 17817 def appTerm appTerm 1011 ref appTerm appTerm 12954 ref appTerm 17818 def nil cons 17819 def cons nil cons 17820 def cons nil cons cons 459 ref subst proveHyp 17045 ref 17818 remove refl appThm sym nil 17048 ref 17820 remove cons nil cons cons 17821 def 416 ref subst 17821 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref nil 38 ref 17815 ref nil cons cons nil cons nil cons cons 17822 def 17052 ref subst appThm appThm 17817 ref refl appThm appThm 1703 ref appThm appThm 12954 ref refl 17823 def appThm sym 17060 ref nil 17062 ref 400 ref 180 ref 2217 ref 187 ref 726 ref 17034 ref 17815 ref appTerm appTerm appTerm 17824 def 17817 remove appTerm appTerm 1011 ref appTerm appTerm 12954 ref appTerm 17825 def nil cons 17826 def cons nil cons 17827 def cons nil cons cons 459 ref subst proveHyp 17067 ref 17825 remove refl appThm sym nil 17070 ref 17827 remove cons nil cons cons 17828 def 416 ref subst 17828 remove 467 ref subst 1131 ref 2793 ref 17824 ref refl 2814 ref 3190 ref 17822 ref 17073 ref subst appThm appThm appThm appThm 1703 ref appThm appThm 17823 ref appThm sym 17090 ref nil 17092 ref 400 ref 180 ref 2217 ref 17824 remove 2196 ref 726 ref 17054 ref 17815 ref appTerm appTerm appTerm 17829 def appTerm appTerm 1011 ref appTerm appTerm 12954 ref appTerm 17830 def nil cons 17831 def cons nil cons 17832 def cons nil cons cons 459 ref subst proveHyp 17097 ref 17830 remove refl appThm sym nil 17100 ref 17832 remove cons nil cons cons 17833 def 416 ref subst 17833 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 17822 ref 17103 ref subst appThm appThm 17829 ref refl 17834 def appThm appThm 1703 ref appThm appThm 17823 ref appThm sym 17118 remove nil 17120 remove 400 ref 180 ref 2217 ref 187 ref 726 ref 3052 ref 13656 ref 17815 ref appTerm appTerm 17835 def 17075 ref 17815 ref appTerm appTerm 7321 ref 17815 ref appTerm 17836 def appTerm appTerm appTerm 17829 ref appTerm appTerm 1011 ref appTerm appTerm 12954 ref appTerm 17837 def nil cons 17838 def cons nil cons 17839 def cons nil cons cons 459 ref subst proveHyp 17126 remove 17837 remove refl appThm sym nil 17129 remove 17839 remove cons nil cons cons 17840 def 416 ref subst 17840 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 17835 ref refl 17841 def 17822 ref 17133 remove subst appThm 17836 ref refl 17842 def appThm appThm appThm 17834 remove appThm appThm 1703 ref appThm appThm 17823 ref appThm sym 17145 ref nil 17147 ref 400 ref 180 ref 2217 ref 187 ref 726 ref 17835 ref 3052 ref 13659 remove 17815 ref appTerm appTerm 17843 def 2192 ref 17815 ref appTerm 17844 def appTerm 7886 remove 17815 ref appTerm 17845 def appTerm 17846 def appTerm 17836 ref appTerm appTerm appTerm 17847 def 17829 remove appTerm appTerm 1011 ref appTerm appTerm 12954 ref appTerm 17848 def nil cons 17849 def cons nil cons 17850 def cons nil cons cons 459 ref subst proveHyp 17156 ref 17848 remove refl appThm sym nil 17159 ref 17850 remove cons nil cons cons 17851 def 416 ref subst 17851 remove 467 ref subst 1131 ref 2793 ref 17847 ref refl 17852 def 2814 ref 3190 ref 17822 ref 17163 ref subst appThm appThm appThm appThm 1703 ref appThm appThm 17823 ref appThm sym 17171 remove nil 17173 remove 400 ref 180 ref 2217 ref 17847 ref 2196 ref 726 ref 17835 ref 17135 ref 17815 ref appTerm appTerm 7322 ref 17815 ref appTerm 17853 def appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 12954 ref appTerm 17854 def nil cons 17855 def cons nil cons 17856 def cons nil cons cons 459 ref subst proveHyp 17178 remove 17854 remove refl appThm sym nil 17181 remove 17856 remove cons nil cons cons 17857 def 416 ref subst 17857 remove 467 ref subst 1131 ref 2793 ref 17852 remove 2814 ref 3190 ref 17841 remove 17822 remove 17184 remove subst appThm 17853 ref refl 17858 def appThm appThm appThm appThm appThm 1703 ref appThm appThm 17823 ref appThm sym 13729 ref nil 13731 ref 400 ref 180 ref 2217 ref 17847 remove 2196 ref 726 ref 17835 remove 17843 remove 2197 ref 17815 ref appTerm 17859 def appTerm 7887 remove 17815 remove appTerm 17860 def appTerm 17861 def appTerm 17853 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 12954 ref appTerm 17862 def nil cons 17863 def cons nil cons 17864 def cons nil cons cons 459 ref subst proveHyp 13737 ref 17862 remove refl appThm sym nil 13740 ref 17864 remove cons nil cons cons 17865 def 416 ref subst 17865 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 17193 ref 15888 ref 13744 ref subst appThm 17866 def 17846 ref refl appThm 17842 ref appThm appThm appThm 2814 ref 3190 ref 17866 remove 17861 ref refl appThm 17858 ref appThm appThm appThm appThm appThm 1703 ref appThm appThm 17823 ref appThm sym 13754 ref nil 13756 ref 400 ref 180 ref 2217 ref 187 ref 726 ref 3052 ref 14184 ref appTerm 17867 def 17846 remove appTerm 17836 ref appTerm appTerm appTerm 2196 ref 726 ref 17867 ref 17861 remove appTerm 17853 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 12954 ref appTerm 17868 def nil cons 17869 def cons nil cons 17870 def cons nil cons cons 459 ref subst proveHyp 13763 ref 17868 remove refl appThm sym nil 13766 ref 17870 remove cons nil cons cons 17871 def 416 ref subst 17871 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 17867 ref refl 17872 def 17193 ref 15888 remove 13769 remove subst appThm 17873 def 17844 ref refl 17874 def appThm 17845 ref refl 17875 def appThm appThm 17842 ref appThm appThm appThm 2814 ref 3190 ref 17872 remove 17873 remove 17859 ref refl 17876 def appThm 17860 ref refl 17877 def appThm appThm 17858 ref appThm appThm appThm appThm appThm 1703 ref appThm appThm 17823 ref appThm sym 14194 remove nil 14392 remove 400 ref 180 ref 2217 ref 187 ref 726 ref 17867 ref 3052 ref 14185 remove appTerm 17878 def 17844 ref appTerm 17845 ref appTerm appTerm 17836 ref appTerm appTerm appTerm 2196 ref 726 ref 17867 remove 17878 remove 17859 ref appTerm 17860 ref appTerm appTerm 17853 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 12954 ref appTerm 17879 def nil cons 17880 def cons nil cons 17881 def cons nil cons cons 459 ref subst proveHyp 14393 remove 17879 remove refl appThm sym nil 14401 remove 17881 remove cons nil cons cons 17882 def 416 ref subst 17882 remove 467 ref subst 14407 remove 15850 remove 1131 ref 2793 ref 1368 ref 3190 ref 17193 ref nil 150 ref 14402 remove cons nil cons nil cons cons 155 ref subst 14184 remove assume eqMp appThm 17883 def 17193 ref 15851 remove appThm 17884 def 17874 remove appThm 17875 remove appThm nil 3191 ref 17845 remove nil cons cons 3192 ref 17844 remove nil cons cons nil cons 17885 def cons nil cons cons 3319 ref subst trans appThm 17842 remove appThm nil 3191 ref 17836 remove nil cons cons 17885 remove cons nil cons cons 3319 ref subst trans appThm appThm 2814 ref 3190 ref 17883 remove 17884 remove 17876 remove appThm 17877 remove appThm nil 3191 ref 17860 remove nil cons cons 3192 ref 17859 remove nil cons cons nil cons 17886 def cons nil cons cons 3319 ref subst trans appThm 17858 remove appThm nil 3191 ref 17853 remove nil cons cons 17886 remove cons nil cons cons 3319 remove subst trans appThm appThm appThm appThm 1703 ref appThm appThm 17823 ref appThm sym 1131 ref 2793 ref 1368 ref 3190 ref 17545 remove nil 13629 ref 15861 remove cons nil cons cons 1169 ref subst 7837 ref nil 13629 ref 14041 ref cons nil cons cons 1169 ref subst appThm trans 17887 def appThm appThm appThm 2814 ref 3190 ref 17549 remove 17887 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm 17823 remove appThm sym 17568 remove 16444 ref appThm sym 13647 remove eqMp 129 ref "_51528" 14 ref var 17888 def 180 ref 2217 ref 187 ref 726 ref 2192 remove 713 ref 12941 ref 17888 remove varTerm appTerm appTerm 17889 def appTerm appTerm appTerm 2196 ref 726 ref 2197 remove 17889 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 12954 remove appTerm absTerm 17890 def 13631 ref appTerm 17891 def appTerm refl 17890 ref 12917 ref appTerm betaConv appThm 439 ref 17891 remove betaConv appThm 12955 ref refl appThm trans 17890 remove refl 17579 remove 12917 ref appTerm assume appThm eqMp sym 12955 remove assume eqMp proveHyp eqMp eqMp proveHyp proveHyp eqMp nil 14408 remove 437 ref 17880 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14121 ref 437 ref 17869 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14087 ref 437 ref 17863 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17590 ref 437 ref 17855 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17591 ref 437 ref 17849 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17592 ref 437 ref 17838 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17593 ref 437 ref 17831 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17594 ref 437 ref 17826 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17595 ref 437 ref 17819 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 14284 ref 17802 remove cons nil cons cons 451 ref subst deductAntisym eqMp 14411 ref nil 14284 ref 14412 ref 1553 ref 17782 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp 129 ref "_51234" 14 ref var 17892 def 180 ref 2217 ref 2195 ref 2217 ref 2195 ref 17892 remove varTerm 17893 def appTerm 17893 remove appTerm appTerm 1011 ref appTerm appTerm 6903 ref appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm absTerm 17894 def 2217 ref 17210 remove appTerm 1011 ref appTerm 17895 def appTerm 17896 def appTerm refl 17894 ref 17777 ref appTerm betaConv appThm 439 ref 17896 remove betaConv appThm 180 ref 2217 ref 2195 ref 2217 ref 2195 ref 17777 ref appTerm 17777 ref appTerm appTerm 1011 ref appTerm appTerm 6903 ref appTerm appTerm 1011 ref appTerm appTerm 14250 ref appTerm 17897 def refl 17898 def appThm trans 17894 remove refl 180 ref 17895 remove appTerm 17777 remove appTerm assume appThm eqMp sym 17752 remove nil 17753 remove 400 ref 17897 remove nil cons 17899 def cons nil cons 17900 def cons nil cons cons 459 ref subst proveHyp 17757 remove 17898 remove appThm sym nil 17763 ref 17900 remove cons nil cons cons 17901 def 416 ref subst 17901 remove 467 ref subst 1131 ref 2793 ref 3238 ref nil 1116 ref 17776 ref nil cons 17902 def cons 17903 def 1006 ref 17902 ref cons nil cons 17904 def cons nil cons cons 17758 ref 1117 ref appTerm 17905 def betaConv 17760 ref 1009 ref appTerm 17906 def betaConv nil 17763 remove 400 ref 17906 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17760 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17759 remove nil cons cons 400 ref 17905 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17758 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 17771 ref appThm appThm 1703 ref appThm appThm 17053 ref appThm sym 17725 remove nil 17726 remove 400 ref 180 ref 2217 ref 2195 ref 2217 ref 2195 ref 17776 ref appTerm 17907 def 17776 ref appTerm 17908 def appTerm 1011 ref appTerm appTerm 6903 ref appTerm appTerm 1011 ref appTerm appTerm 14250 remove appTerm 17909 def nil cons 17910 def cons nil cons 17911 def cons nil cons cons 459 ref subst proveHyp 17729 remove 17909 remove refl appThm sym nil 17735 ref 17911 remove cons nil cons cons 17912 def 416 ref subst 17912 remove 467 ref subst 1131 ref nil 17737 ref 1006 ref 17908 ref nil cons cons nil cons cons nil cons cons 17730 ref 1117 ref appTerm 17913 def betaConv 17732 ref 1009 ref appTerm 17914 def betaConv nil 17735 remove 400 ref 17914 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17732 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17731 remove nil cons cons 400 ref 17913 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17730 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst appThm 17053 remove appThm sym 13610 remove nil 14550 remove 1215 remove cons nil cons cons 6049 ref subst nil 1003 ref 17773 remove nil cons 17915 def cons 17916 def nil cons nil cons cons 6179 remove subst trans appThm nil 1116 ref 17915 remove cons 17916 remove 4553 remove cons cons nil cons cons 6431 ref 1117 ref appTerm 17917 def betaConv 6433 ref 1011 ref appTerm 17918 def betaConv 6435 ref 1009 ref appTerm 17919 def betaConv 6437 remove nil 399 ref 6436 remove nil cons cons 400 ref 17919 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6435 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6434 remove nil cons cons 400 ref 17918 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6433 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 6432 remove nil cons cons 400 ref 17917 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6431 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst trans 129 ref "_51530" 14 ref var 17920 def 180 ref 2217 ref 2195 ref 17908 remove appTerm 6903 ref appTerm appTerm 1011 ref appTerm appTerm 17921 def 2217 ref 2195 ref 17920 remove varTerm appTerm 4868 ref appTerm appTerm 1011 ref appTerm appTerm absTerm 17922 def 14249 ref appTerm 17923 def appTerm refl 17922 ref 17775 ref 17774 ref appTerm 17924 def appTerm betaConv appThm 439 ref 17923 remove betaConv appThm 17921 remove 2217 ref 2195 ref 17924 ref appTerm 4868 ref appTerm 17925 def appTerm 1011 ref appTerm appTerm refl appThm trans 17922 remove refl 180 ref 14249 remove appTerm 17924 remove appTerm assume appThm eqMp sym 1131 ref 2793 ref nil 17737 ref 1003 ref 17902 remove cons 17904 ref cons cons nil cons cons 9037 ref subst nil 1116 ref 17907 ref 6903 ref appTerm nil cons cons 1003 ref 6188 ref cons 17926 def 1006 ref 17774 ref nil cons 17927 def cons nil cons 17928 def cons 17929 def cons nil cons cons 9037 ref subst trans 17775 ref refl 6902 ref refl nil 17737 ref 17929 ref cons nil cons cons 9037 ref subst appThm appThm trans appThm 1703 ref appThm appThm 2793 ref nil 6189 ref 1003 ref 17927 ref cons 17930 def 17928 ref cons cons nil cons cons 17931 def 9037 ref subst 17932 def appThm 1703 ref appThm appThm sym 1131 ref nil 1116 ref 17775 ref 6904 ref appTerm 17933 def nil cons cons 17929 ref cons nil cons cons 8166 ref subst nil 1116 ref 6904 ref nil cons cons 17930 ref 17904 remove cons cons nil cons cons 8166 ref subst nil 17737 ref 17926 ref 1006 ref 17907 remove 17774 ref appTerm 17934 def nil cons cons nil cons 17935 def cons cons nil cons cons 8166 ref subst trans trans appThm nil 17737 ref 17926 remove 1006 ref 17775 ref 17776 ref appTerm 17936 def nil cons cons nil cons 17937 def cons cons nil cons cons 8166 ref subst 3238 ref 3238 ref 17931 remove 8166 remove subst appThm 13614 remove appThm appThm 17771 remove appThm trans appThm nil 1003 ref 2195 ref 17925 ref appTerm 4868 ref appTerm nil cons cons 17737 remove 1006 ref 2195 ref 17934 remove appTerm 4868 ref appTerm nil cons cons nil cons cons cons nil cons cons 1116 ref 129 ref 180 ref 2867 ref appTerm 6382 remove appTerm appTerm 1486 ref 1107 remove appTerm 17938 def 6383 remove appTerm appTerm absTerm 17939 def 1117 ref appTerm 17940 def betaConv 1003 ref 17 ref 17939 ref appTerm 17941 def absTerm 17942 def 1011 ref appTerm 17943 def betaConv 1006 ref 17 ref 17942 ref appTerm 17944 def absTerm 17945 def 1009 ref appTerm 17946 def betaConv nil 17 ref 17945 ref appTerm 17947 def axiom nil 399 ref 17947 remove nil cons cons 400 ref 17946 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17945 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17944 remove nil cons cons 400 ref 17943 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17942 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17941 remove nil cons cons 400 ref 17940 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17939 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 17948 def subst 1508 ref nil 1003 ref 17925 remove nil cons cons 6189 remove 17935 remove cons cons nil cons cons 17948 remove subst appThm 180 ref 6903 remove appTerm 17949 def 191 ref appTerm 17950 def refl 17951 def appThm trans trans sym 1508 ref 1508 ref 1131 ref nil 1116 ref 17927 remove cons 17929 remove cons nil cons cons 9037 remove subst appThm 17932 remove appThm nil 17903 remove 1003 ref 6902 ref 17774 ref appTerm 17952 def nil cons cons 17928 remove cons cons nil cons cons 1116 ref 129 ref 3228 ref 2867 ref appTerm appTerm 6053 remove 1179 remove appTerm appTerm absTerm 17953 def 1117 ref appTerm 17954 def betaConv 1003 ref 17 ref 17953 ref appTerm 17955 def absTerm 17956 def 1011 ref appTerm 17957 def betaConv 1006 ref 17 ref 17956 ref appTerm 17958 def absTerm 17959 def 1009 ref appTerm 17960 def betaConv nil 17 ref 17959 ref appTerm 17961 def axiom nil 399 ref 17961 remove nil cons cons 400 ref 17960 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17959 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17958 remove nil cons cons 400 ref 17957 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17956 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17955 remove nil cons cons 400 ref 17954 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17953 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp subst trans appThm 180 ref 4868 remove appTerm 17962 def 191 ref appTerm 17963 def refl appThm appThm 17951 remove appThm sym nil 17930 remove 1006 ref 6188 remove cons nil cons 17964 def cons nil cons cons 3236 ref subst nil 435 ref 180 ref 17774 remove appTerm 191 ref appTerm 17965 def nil cons cons 437 ref 180 ref 17952 remove appTerm 17776 remove appTerm 17966 def nil cons cons nil cons cons nil cons cons 6106 remove subst proveHyp nil 435 ref 1486 ref 17965 remove appTerm 17966 remove appTerm 17967 def nil cons cons 437 ref 17963 ref nil cons cons nil cons cons nil cons cons 6394 ref subst proveHyp nil 435 ref 1486 ref 17967 remove appTerm 17963 remove appTerm nil cons cons 437 ref 17950 remove nil cons cons nil cons cons nil cons cons 6394 ref subst proveHyp eqMp eqMp 129 ref "_51532" 14 ref var 17968 def 180 ref 2217 ref 17968 remove varTerm appTerm 1011 ref appTerm appTerm 2217 ref 17936 ref appTerm 1011 ref appTerm 17969 def appTerm absTerm 17970 def 17775 remove 6902 remove 17933 remove appTerm appTerm 17971 def appTerm 17972 def appTerm refl 17970 ref 2195 ref 17936 remove appTerm 17973 def 6904 remove appTerm 17974 def appTerm betaConv appThm 439 ref 17972 remove betaConv appThm 180 ref 2217 ref 17974 ref appTerm 1011 ref appTerm appTerm 17969 ref appTerm refl appThm trans 17970 remove refl 180 ref 17971 remove appTerm 17974 remove appTerm assume appThm eqMp sym 1131 ref 2793 ref 17973 ref refl 17975 def 9025 remove appThm appThm 1703 ref appThm appThm 17969 ref refl 17976 def appThm sym 1003 ref 17 ref 1006 ref 17 ref 1116 ref 3268 ref 180 ref 2217 ref 2864 remove 17745 remove appTerm appTerm 1011 ref appTerm 17977 def appTerm 17719 remove appTerm 17978 def appTerm absTerm appTerm absTerm appTerm 17979 def absTerm 17980 def 1011 ref appTerm 17981 def betaConv nil 17 ref 17980 ref appTerm 17982 def axiom nil 399 ref 17982 remove nil cons cons 400 ref 17981 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17980 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 17983 def nil 399 ref 17979 remove nil cons cons 17984 def 400 ref 180 ref 2217 ref 17973 ref 6908 ref appTerm appTerm 1011 ref appTerm appTerm 17969 ref appTerm 17985 def nil cons 17986 def cons nil cons 17987 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 1006 ref 603 ref 1116 ref 3409 ref 17978 ref refl appThm nil 150 ref 17978 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm absThm appThm appThm 17988 def 17985 remove refl appThm sym nil 399 ref 17 ref 1006 ref 17 ref 1116 ref 17978 ref absTerm 17989 def appTerm 17990 def absTerm 17991 def appTerm 17992 def nil cons 17993 def cons 17994 def 17987 remove cons nil cons cons 17995 def 416 ref subst 17995 remove 467 ref subst 1131 ref nil 1116 ref 9026 remove cons 17937 ref cons nil cons cons 1116 ref 17738 remove 17977 remove appTerm 17996 def absTerm 17997 def 1117 ref appTerm 17998 def betaConv 1006 ref 17 ref 17997 ref appTerm 17999 def absTerm 18000 def 1009 ref appTerm 18001 def betaConv 603 ref 1006 ref 603 ref 1116 ref 17996 remove assume sym 17978 remove assume sym deductAntisym absThm appThm absThm appThm 17992 remove assume eqMp nil 399 ref 17 ref 18000 ref appTerm nil cons cons 400 ref 18001 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18000 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17999 remove nil cons cons 400 ref 17998 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17997 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 18002 def subst appThm 17976 ref appThm sym 17983 ref nil 17984 ref 400 ref 180 ref 2217 ref 17973 ref 2217 ref 6908 remove appTerm 1011 ref appTerm 18003 def appTerm appTerm 1011 ref appTerm appTerm 17969 ref appTerm 18004 def nil cons 18005 def cons nil cons 18006 def cons nil cons cons 459 ref subst proveHyp 17988 ref 18004 remove refl appThm sym nil 17994 ref 18006 remove cons nil cons cons 18007 def 416 ref subst 18007 remove 467 ref subst 1131 ref nil 1116 ref 18003 ref nil cons cons 17937 ref cons nil cons cons 18002 remove subst appThm 17976 ref appThm sym 3401 remove nil 3402 remove 400 ref 180 ref 2217 ref 17973 ref 2217 ref 18003 remove appTerm 1011 ref appTerm appTerm appTerm 1011 ref appTerm appTerm 17969 ref appTerm 18008 def nil cons 18009 def cons nil cons 18010 def cons nil cons cons 459 ref subst proveHyp 3410 remove 18008 remove refl appThm sym nil 3416 remove 18010 remove cons nil cons cons 18011 def 416 ref subst 18011 remove 467 ref subst 1131 ref 2793 ref 17975 ref 2793 ref nil 3391 remove 1236 remove cons 3390 remove 8415 remove cons nil cons cons nil cons cons 3429 remove subst appThm 1703 ref appThm appThm appThm 1703 ref appThm appThm 17976 ref appThm sym 1006 ref 17 ref 1003 ref 41 ref 13575 ref appTerm 18012 def 180 ref 2217 ref 3229 remove appTerm 1009 ref appTerm appTerm 191 ref appTerm appTerm absTerm appTerm absTerm 18013 def 1011 ref appTerm 18014 def betaConv 603 ref 1006 ref 603 ref 1003 ref 18012 ref refl 1131 ref 2793 ref 3236 remove appThm 9230 remove appThm appThm 1266 ref appThm appThm absThm appThm absThm appThm nil 17 ref 1006 ref 17 ref 1003 ref 18012 remove 180 ref 2217 ref 2865 ref appTerm 1009 ref appTerm appTerm 191 ref appTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 17 ref 18013 ref appTerm nil cons cons 400 ref 18014 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18013 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 6347 ref 3268 ref 180 ref 2217 ref 2195 ref 6350 ref appTerm 1011 ref appTerm appTerm 1011 ref appTerm appTerm 191 ref appTerm 18015 def appTerm absTerm appTerm nil cons cons 400 ref 180 ref 2217 ref 17973 ref 2217 ref 2217 ref 187 ref 2217 ref 6907 remove appTerm 1011 ref appTerm appTerm 2217 ref 192 ref appTerm 1011 ref appTerm 18016 def appTerm appTerm 1011 ref appTerm appTerm 1011 ref appTerm appTerm appTerm 1011 ref appTerm appTerm 17969 ref appTerm 18017 def nil cons 18018 def cons nil cons 18019 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 6347 ref 3409 remove 18015 ref refl appThm nil 150 ref 18015 ref nil cons cons nil cons nil cons cons 614 ref subst trans absThm appThm appThm 18017 remove refl appThm sym nil 399 ref 17 ref 6347 ref 18015 remove absTerm 18020 def appTerm nil cons 18021 def cons 18022 def 18019 remove cons nil cons cons 18023 def 416 ref subst 18023 remove 467 ref subst 1131 ref 2793 ref 17975 ref 2793 ref 2793 ref 1368 ref nil 6347 remove 1089 ref cons nil cons nil cons cons 18020 ref 6350 ref appTerm 18024 def betaConv nil 18022 remove 400 ref 18024 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 18020 remove nil cons cons 475 ref 6350 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp subst appThm 18016 ref refl appThm appThm 1703 ref appThm appThm 1703 ref appThm appThm appThm 1703 ref appThm appThm 17976 ref appThm sym 1131 ref 2793 ref 17975 remove 2793 ref 2793 ref nil 1003 ref 18016 ref nil cons 18025 def cons nil cons nil cons cons 1264 ref subst appThm 1703 ref appThm appThm 1703 ref appThm appThm appThm 1703 ref appThm appThm 17976 ref appThm sym 17983 remove nil 17984 remove 400 ref 180 ref 2217 ref 17973 remove 2217 ref 2217 ref 18016 remove appTerm 1011 ref appTerm 18026 def appTerm 1011 ref appTerm appTerm appTerm 1011 ref appTerm appTerm 17969 remove appTerm 18027 def nil cons 18028 def cons nil cons 18029 def cons nil cons cons 459 ref subst proveHyp 17988 remove 18027 remove refl appThm sym nil 17994 ref 18029 remove cons nil cons cons 18030 def 416 ref subst 18030 remove 467 ref subst 1131 ref nil 1116 ref 18026 remove nil cons cons 17937 ref cons nil cons cons 17989 ref 1117 ref appTerm 18031 def betaConv 17991 ref 1009 ref appTerm 18032 def betaConv nil 17994 remove 400 ref 18032 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 17991 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17990 remove nil cons cons 400 ref 18031 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17989 remove nil cons cons 1168 ref cons nil cons cons 469 ref subst eqMp eqMp 18033 def subst nil 1116 ref 18025 remove cons 17937 ref cons nil cons cons 18033 ref subst nil 2073 ref 17937 ref cons nil cons cons 18033 remove subst trans trans appThm 17976 remove appThm sym 2793 ref nil 17937 remove nil cons cons 3365 ref subst appThm 1703 ref appThm eqMp eqMp nil 435 ref 17993 remove cons 18034 def 437 ref 18028 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 18021 remove cons 437 ref 18018 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 4779 remove 437 ref 18009 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 18034 ref 437 ref 18005 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 18034 remove 437 ref 17986 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp eqMp eqMp proveHyp eqMp eqMp nil 435 ref 17734 remove cons 18035 def 437 ref 17910 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 17762 remove cons 18036 def 437 ref 17899 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp eqMp nil 18036 remove 437 ref 17755 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 18035 remove 437 ref 17727 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 17709 remove cons 437 ref 17710 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp proveHyp eqMp eqMp nil 399 ref 42 ref 17325 remove appTerm 17683 remove appTerm nil cons cons 400 ref 41 ref 17327 remove appTerm 17214 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 17215 ref cons 400 ref 17326 remove nil cons cons 17682 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp nil 435 ref 17221 remove cons 437 ref 17215 remove cons nil cons 18037 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 17219 remove cons 18037 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 17212 ref 4832 ref appTerm appTerm 17214 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 17213 remove appTerm 17214 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 17212 remove nil cons cons 18037 remove cons nil cons cons 688 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 14121 ref 437 ref 17200 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14087 ref 437 ref 17190 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17590 remove 437 ref 17176 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17591 ref 437 ref 17154 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17592 remove 437 ref 17124 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17593 ref 437 ref 17095 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17594 ref 437 ref 17065 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17595 ref 437 ref 17043 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 399 ref 17043 remove cons 400 ref 14252 ref nil cons 18038 def cons nil cons 18039 def cons nil cons cons 467 ref subst proveHyp nil 14269 remove 18039 ref cons nil cons cons 18040 def 416 ref subst 18040 remove 467 ref subst 14279 remove nil 14282 remove 18039 ref cons nil cons cons 459 ref subst proveHyp 14285 remove 14252 ref refl appThm sym nil 160 ref 14286 ref 14289 remove 14252 ref appTerm 18041 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 14286 remove nil 150 ref 18041 remove nil cons cons nil cons nil cons cons 155 ref subst nil 14292 remove 18039 ref cons nil cons cons 18042 def 416 ref subst 18042 remove 467 ref subst 14294 remove nil 14298 remove 18039 ref cons nil cons cons 18043 def 459 ref subst proveHyp 18043 ref 416 ref subst 18043 remove 467 ref subst 129 ref "_51826" 14 ref var 18044 def 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 14216 ref 13043 ref 1285 ref 18044 remove varTerm 18045 def appTerm appTerm appTerm appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 18045 remove appTerm absTerm 18046 def 14206 ref appTerm 18047 def appTerm refl 18048 def 18046 ref 14295 ref appTerm betaConv appThm 439 ref 18047 remove betaConv appThm 18049 def 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 14216 ref 13043 ref 1285 ref 14295 ref appTerm 18050 def appTerm 18051 def appTerm 18052 def appTerm 18053 def 14032 ref appTerm 18054 def appTerm 18055 def appTerm absTerm appTerm absTerm appTerm 18056 def appTerm appTerm 14295 ref appTerm refl appThm trans 18046 remove refl 18057 def 14308 ref appThm eqMp sym nil "t" 13958 ref var 18058 def "Set.union" const 18059 def 0 ref 13958 ref 0 ref 13958 ref 13961 ref cons opType nil cons 18060 def cons opType 18061 def constTerm 18062 def 14338 ref appTerm 18063 def 13962 ref 13963 ref 167 ref 707 ref 13966 ref 42 ref 4349 ref 14303 ref appTerm 18064 def 14215 ref appTerm 18065 def appTerm 18066 def 18054 ref appTerm 18067 def appTerm absTerm appTerm absTerm appTerm 18068 def appTerm 18069 def nil cons cons "s" 13958 ref var 18070 def 18056 ref nil cons cons nil cons cons nil cons cons 163 ref "t" 13957 remove 1575 remove opType 18071 def var 18072 def 129 ref 128 ref 0 ref 18071 ref 0 ref 18071 ref 3 ref cons opType 18073 def nil cons 18074 def cons opType 18075 def constTerm 18076 def "s" 18071 ref var 18077 def varTerm 18078 def appTerm 18072 ref varTerm 18079 def appTerm 18080 def appTerm 133 ref 139 ref 129 ref "Set.member" const 18081 def 0 ref 130 ref 18074 remove cons opType constTerm 463 ref appTerm 18082 def 18078 ref appTerm 18083 def appTerm 18082 ref 18079 ref appTerm 18084 def appTerm absTerm appTerm 18085 def appTerm absTerm 18086 def 18079 ref appTerm 18087 def betaConv 18077 ref 7 ref 0 ref 18073 ref 3 ref cons opType 18088 def constTerm 18089 def 18086 ref appTerm 18090 def absTerm 18091 def 18078 ref appTerm 18092 def betaConv 18089 ref refl 18093 def 18077 ref 18093 remove 18072 ref nil 7590 ref 18085 ref nil cons cons 611 ref 18080 ref nil cons cons nil cons cons nil cons cons 1419 remove 13057 remove subst subst absThm appThm absThm appThm sym nil 18089 ref 18077 ref 18089 ref 18072 ref 129 ref 18085 remove appTerm 18080 remove appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 399 ref 18089 ref 18091 ref appTerm nil cons cons 400 ref 18092 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp "A" 18071 ref nil cons 18094 def cons nil cons 18095 def "P" 18073 ref var 18096 def 18091 remove nil cons cons "x" 18071 ref var 18097 def 18078 ref nil cons cons nil cons 18098 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18090 remove nil cons cons 400 ref 18087 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18096 ref 18086 remove nil cons cons 18097 ref 18079 ref nil cons cons nil cons 18099 def cons nil cons cons 469 ref subst eqMp eqMp subst 18100 def subst sym nil 160 ref 707 ref 129 ref 18081 remove 0 ref 14 ref 0 ref 13958 ref 3 ref cons opType 18101 def nil cons 18102 def cons opType constTerm 708 ref appTerm 18103 def 18056 ref appTerm appTerm 18103 ref 18069 ref appTerm appTerm 18104 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 18104 remove nil cons cons nil cons nil cons cons 155 ref subst 439 ref 439 ref 18103 ref refl 18105 def 14094 ref 13963 ref 1597 ref 707 ref 14095 ref 707 ref 18055 ref absTerm 18106 def 708 ref appTerm betaConv 18107 def appThm absThm appThm absThm appThm appThm appThm 18107 remove appThm nil 1329 ref 18106 remove nil cons cons 1093 ref cons nil cons cons 163 ref 139 ref 129 ref 18082 ref 13960 remove 0 ref 131 remove 18094 ref cons opType constTerm 18108 def "v" 130 ref var 18109 def 659 ref 1894 ref 42 ref 1278 remove 18109 remove varTerm appTerm 1895 ref appTerm appTerm 138 ref 1895 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 676 remove appTerm absTerm 18110 def 463 ref appTerm 18111 def betaConv 137 remove 133 ref 18110 ref appTerm 18112 def absTerm 18113 def 138 remove appTerm 18114 def betaConv nil 1445 remove 18113 ref appTerm 18115 def axiom nil 399 ref 18115 remove nil cons cons 400 ref 18114 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 1450 remove 1451 remove 18113 remove nil cons cons 1453 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18112 remove nil cons cons 400 ref 18111 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 18110 remove nil cons cons 3293 ref cons nil cons cons 469 ref subst eqMp eqMp subst 18116 def subst eqMp appThm nil 18058 ref 18068 ref nil cons 18117 def cons 18118 def 18070 ref 14338 ref nil cons 18119 def cons 18120 def 1093 ref cons cons nil cons cons 18121 def 163 ref 139 ref 129 ref 18082 ref 18059 remove 0 ref 18071 ref 0 ref 18071 ref 18094 remove cons opType nil cons 18122 def cons opType 18123 def constTerm 18078 ref appTerm 18079 ref appTerm 18124 def appTerm appTerm 1486 ref 18083 ref appTerm 18084 ref appTerm appTerm absTerm 18125 def 463 ref appTerm 18126 def betaConv 18072 ref 133 ref 18125 ref appTerm 18127 def absTerm 18128 def 18079 ref appTerm 18129 def betaConv 18077 ref 18089 ref 18128 ref appTerm 18130 def absTerm 18131 def 18078 ref appTerm 18132 def betaConv nil 18089 ref 18131 ref appTerm 18133 def axiom nil 399 ref 18133 remove nil cons cons 400 ref 18132 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18096 ref 18131 remove nil cons cons 18098 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18130 remove nil cons cons 400 ref 18129 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18096 ref 18128 remove nil cons cons 18099 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18127 remove nil cons cons 400 ref 18126 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 18125 remove nil cons cons 3293 ref cons nil cons cons 469 ref subst eqMp eqMp subst subst 1508 ref 439 ref 18105 ref 14094 ref 13963 ref 1597 ref 707 ref 14095 ref 707 ref 14337 ref absTerm 18134 def 708 ref appTerm betaConv 18135 def appThm absThm appThm absThm appThm appThm appThm 18135 remove appThm nil 1329 ref 18134 remove nil cons cons 1093 ref cons nil cons cons 18116 ref subst eqMp 18136 def appThm 439 ref 18105 ref 14094 ref 13963 ref 1597 ref 707 ref 14095 ref 707 ref 18067 ref absTerm 18137 def 708 ref appTerm betaConv 18138 def appThm absThm appThm absThm appThm appThm appThm 18138 ref appThm nil 1329 ref 18137 remove nil cons cons 1093 ref cons nil cons cons 18116 ref subst eqMp 18139 def appThm trans appThm sym nil 399 ref 14137 ref nil cons 18140 def cons 18141 def 400 ref 129 ref 18055 remove appTerm 1486 ref 14337 ref appTerm 18067 ref appTerm appTerm nil cons 18142 def cons nil cons 18143 def cons nil cons cons 18144 def 416 ref subst 18144 remove 467 ref subst 439 ref 14096 ref 18053 remove refl 18145 def nil 18141 remove 400 ref 129 ref 14032 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 14164 ref cons 18146 def nil cons nil cons cons 1932 ref subst eqMp 18147 def appThm nil 150 ref 18052 ref nil cons 18148 def cons nil cons nil cons cons 18149 def 6632 ref subst trans 18150 def appThm nil 150 ref 13968 remove nil cons 18151 def cons nil cons nil cons cons 6632 ref subst 18152 def trans appThm 1508 ref 14096 ref 14335 remove refl 18153 def 18147 remove appThm nil 150 ref 14334 ref nil cons 18154 def cons nil cons nil cons cons 18155 def 6632 ref subst trans appThm 18152 remove trans appThm 18066 ref refl 18156 def 18150 remove appThm nil 150 ref 18065 ref nil cons 18157 def cons nil cons nil cons cons 18158 def 6632 ref subst trans appThm 11300 remove trans appThm 1803 ref trans sym 154 ref eqMp eqMp nil 435 ref 18140 ref cons 437 ref 18142 ref cons nil cons 18159 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 14164 ref cons 18160 def 18143 remove cons nil cons cons 18161 def 416 ref subst 18161 remove 467 ref subst 439 ref 14096 ref 18145 remove nil 150 ref 14164 ref cons nil cons nil cons cons 18162 def 155 ref subst 14032 ref assume 18163 def eqMp 18164 def appThm 18149 ref 1105 ref subst trans 18165 def appThm appThm 1508 ref 14096 ref 18153 remove 18164 remove appThm 18155 ref 1105 ref subst trans appThm appThm 18156 remove 18165 remove appThm appThm appThm sym nil 14160 ref 400 ref 129 ref 13969 ref 18052 ref appTerm appTerm 1486 ref 13969 ref 14334 ref appTerm appTerm 18066 remove 18052 ref appTerm 18166 def appTerm appTerm nil cons 18167 def cons nil cons 18168 def cons nil cons cons 18169 def 416 ref subst 18169 remove 467 ref subst 439 ref 625 ref 7672 remove 14605 ref subst 18170 def 14175 remove trans appThm 18171 def 18052 ref refl 18172 def appThm 18149 ref 633 ref subst 18173 def trans appThm 1508 ref 18171 remove 15809 remove appThm 18155 ref 633 ref subst trans appThm 18166 ref refl 18174 def appThm appThm sym nil 399 ref 77 ref 14334 ref appTerm nil cons 18175 def cons 18176 def 400 ref 129 ref 18052 ref appTerm 18177 def 1486 ref 14334 ref appTerm 18166 ref appTerm appTerm nil cons 18178 def cons nil cons 18179 def cons nil cons cons 18180 def 416 ref subst 18180 remove 467 ref subst 18177 remove refl 18181 def 1508 ref nil 18176 remove 400 ref 129 ref 14334 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 18154 ref cons 18182 def nil cons nil cons cons 1932 ref subst eqMp 18183 def appThm 625 ref nil 1006 ref 14215 ref nil cons 18184 def cons 18185 def 1003 ref 15149 ref cons 18186 def nil cons 18187 def cons nil cons cons 1003 ref 129 ref 4447 remove appTerm 4446 remove appTerm 18188 def absTerm 18189 def 1011 ref appTerm 18190 def betaConv 1006 ref 17 ref 18189 ref appTerm 18191 def absTerm 18192 def 1009 ref appTerm 18193 def betaConv 603 ref 1006 ref 603 ref 1003 ref 18188 remove assume sym 4448 remove assume sym deductAntisym absThm appThm absThm appThm 4455 remove eqMp nil 399 ref 17 ref 18192 ref appTerm nil cons cons 400 ref 18193 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18192 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18191 remove nil cons cons 400 ref 18190 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18189 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 18194 def subst 620 ref 18183 remove appThm 1507 ref trans trans appThm 18172 remove appThm 18173 remove trans appThm 18149 ref 1541 ref subst trans appThm nil 611 ref 18148 ref cons nil cons nil cons cons 1420 ref subst trans sym 154 ref eqMp eqMp nil 435 ref 18175 ref cons 437 ref 18178 ref cons nil cons 18195 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 18154 ref cons 18179 remove cons nil cons cons 18196 def 416 ref subst 18196 remove 467 ref subst 18181 remove 1508 ref 18155 remove 155 ref subst 14334 ref assume eqMp 18197 def appThm 18174 remove appThm nil 150 ref 18166 remove nil cons cons nil cons nil cons cons 1517 ref subst trans appThm 18149 ref 11320 ref subst trans sym 1003 ref 42 ref 14216 ref 1011 ref appTerm appTerm 4352 ref 18051 ref appTerm 18198 def appTerm absTerm 18199 def 14303 ref appTerm betaConv sym 625 ref 18197 ref appThm nil 1116 ref 18050 remove nil cons cons 15689 ref 14398 ref cons 18200 def cons nil cons cons 6066 ref subst 14555 remove nil 15689 remove nil cons nil cons cons 12799 remove subst appThm 14558 remove trans trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 18199 ref nil cons cons 475 ref 15149 ref cons nil cons 18201 def cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 18199 remove appTerm nil cons cons 400 ref 18148 ref cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 18051 ref nil cons 18202 def cons 18203 def 18185 remove nil cons cons nil cons cons 4776 ref subst eqMp eqMp eqMp nil 18182 ref 18195 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 14334 remove appTerm 18204 def betaConv 1970 ref nil 1971 ref 400 ref 18204 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 18154 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 18182 ref 437 ref 18175 remove cons 1553 ref 18178 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 14153 ref 437 ref 18167 ref cons nil cons 18205 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 14178 remove 18168 remove cons nil cons cons 18206 def 416 ref subst 18206 remove 467 ref subst 439 ref 625 ref 18170 ref 620 ref 14182 remove appThm 1535 ref trans trans appThm 18207 def 4701 ref 1368 ref 14180 remove appThm 12923 ref refl 18208 def appThm nil 1003 ref 12923 ref nil cons 18209 def cons 18210 def nil cons nil cons cons 1264 ref subst trans 18211 def appThm 18212 def 18051 ref refl appThm 18213 def appThm nil 150 ref 12924 ref 18051 ref appTerm 18214 def nil cons 18215 def cons nil cons nil cons cons 1506 ref subst trans appThm 1508 ref 18207 remove 18212 remove 15333 remove appThm appThm nil 150 ref 12924 ref 14303 ref appTerm nil cons 18216 def cons nil cons nil cons cons 1506 ref subst trans appThm 625 ref 18064 ref refl 18211 remove appThm appThm 18213 remove appThm appThm nil 150 ref 42 ref 18064 ref 12923 ref appTerm 18217 def appTerm 18214 ref appTerm nil cons cons nil cons nil cons cons 18218 def 1541 ref subst trans appThm 18218 remove 1802 ref subst nil 1811 ref 18215 remove cons 1812 ref 18217 remove nil cons cons nil cons cons nil cons cons 4445 ref subst 1508 ref nil 18210 ref 15738 ref cons nil cons cons 18219 def 4613 ref subst appThm 77 ref 18214 remove appTerm 18220 def refl appThm trans trans trans sym 1003 ref 42 ref 12924 remove 1011 ref appTerm appTerm 15125 remove appTerm absTerm 18221 def 12928 ref appTerm betaConv sym 625 ref nil 150 ref 13310 remove cons nil cons nil cons cons 155 ref subst 12929 remove assume 18222 def eqMp 18223 def appThm 698 ref 12928 ref appTerm 18224 def refl 15132 remove appThm nil 16180 remove 14398 ref cons nil cons cons 6133 ref subst trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 18221 ref nil cons cons 15292 ref cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 18221 remove appTerm nil cons cons 400 ref 18216 ref cons nil cons cons nil cons cons 459 ref subst proveHyp nil 15150 remove 1006 ref 18209 ref cons nil cons 18225 def cons nil cons cons 4776 ref subst eqMp nil 435 ref 18216 remove cons 437 ref 18220 remove nil cons cons nil cons cons nil cons cons 6394 ref subst proveHyp eqMp eqMp nil 14162 ref 18205 remove cons nil cons cons 451 ref subst deductAntisym eqMp 14196 remove nil 14162 remove 14197 remove 1553 ref 18167 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 18146 ref 18159 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 14032 ref appTerm 18226 def betaConv 1970 ref nil 1971 ref 400 ref 18226 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 14164 ref cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 18146 remove 437 ref 18140 ref cons 18227 def 1553 ref 18142 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp absThm eqMp eqMp 129 ref "_51972" 13958 ref var 18228 def 180 ref 13959 ref 18228 remove varTerm appTerm appTerm 14295 ref appTerm absTerm 18229 def 18056 ref appTerm 18230 def appTerm refl 18229 ref 18069 ref appTerm betaConv appThm 439 ref 18230 remove betaConv appThm 180 ref 13959 ref 18069 ref appTerm 18231 def appTerm 18232 def 14295 ref appTerm 18233 def refl appThm trans 18229 remove refl 128 remove 0 ref 13958 ref 18102 remove cons opType 18234 def constTerm 18235 def 18056 remove appTerm 18069 remove appTerm assume appThm eqMp sym 18058 ref 41 ref 42 ref "Set.finite" const 18236 def 18101 ref constTerm 18237 def 14338 ref appTerm 18238 def appTerm 18239 def 42 ref 18237 ref 18058 ref varTerm 18240 def appTerm appTerm 18241 def "Set.disjoint" const 18242 def 18234 ref constTerm 18243 def 14338 ref appTerm 18244 def 18240 ref appTerm appTerm appTerm appTerm 180 ref 13959 ref 18063 remove 18240 ref appTerm appTerm appTerm 187 ref 14339 remove appTerm 18245 def 13959 ref 18240 ref appTerm 18246 def appTerm appTerm appTerm absTerm 18247 def 18068 ref appTerm 18248 def betaConv 18070 ref 7 remove 0 ref 18101 ref 3 remove cons opType 18249 def constTerm 18250 def 18058 ref 41 ref 42 ref 18237 ref 18070 ref varTerm 18251 def appTerm appTerm 18241 ref 18243 remove 18251 ref appTerm 18240 ref appTerm appTerm appTerm appTerm 180 ref 13959 ref 18062 remove 18251 ref appTerm 18240 ref appTerm appTerm appTerm 187 ref 13959 ref 18251 remove appTerm appTerm 18246 remove appTerm appTerm appTerm absTerm appTerm absTerm 18252 def 14338 ref appTerm 18253 def betaConv 163 ref nil 18089 ref 18077 ref 18089 ref 18072 ref 41 ref 42 ref 18236 remove 18073 remove constTerm 18254 def 18078 ref appTerm 18255 def appTerm 42 ref 18254 remove 18079 ref appTerm appTerm 18256 def 18242 remove 18075 ref constTerm 18078 ref appTerm 18079 ref appTerm 18257 def appTerm appTerm appTerm 180 ref 13956 remove 0 ref 18071 ref 161 remove cons opType constTerm 18258 def 18124 remove appTerm appTerm 187 ref 18258 ref 18078 ref appTerm appTerm 18258 ref 18079 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm axiom subst nil 399 ref 18250 ref 18252 ref appTerm nil cons cons 400 ref 18253 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp "A" 13961 remove cons nil cons 18259 def "P" 18101 remove var 18260 def 18252 remove nil cons cons "x" 13958 ref var 18261 def 18119 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18250 remove 18247 ref appTerm nil cons cons 400 ref 18248 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18259 ref 18260 ref 18247 remove nil cons cons 18261 ref 18117 ref cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 18239 remove 42 ref 18237 ref 18068 ref appTerm 18262 def appTerm 18244 remove 18068 ref appTerm 18263 def appTerm 18264 def appTerm 18265 def appTerm 18232 remove 18245 remove 13959 ref 18068 ref appTerm 18266 def appTerm 18267 def appTerm 18268 def appTerm 18269 def nil cons cons 400 ref 18233 ref nil cons 18270 def cons nil cons 18271 def cons nil cons cons 459 ref subst proveHyp 18058 ref 18241 ref "Set.subset" const 18272 def 18234 remove constTerm 18273 def 14338 ref appTerm 18274 def 18240 ref appTerm appTerm absTerm 18275 def 13962 ref 13963 ref 167 ref 707 ref 13966 ref 15145 ref appTerm absTerm appTerm absTerm appTerm 18276 def appTerm betaConv sym 625 ref nil 18187 ref nil cons cons nil 150 ref 18237 remove 13962 ref 13963 ref 167 ref 1006 ref 42 ref 13964 remove 1009 ref appTerm appTerm 1012 remove appTerm absTerm appTerm absTerm appTerm appTerm 18277 def nil cons cons nil cons nil cons cons 155 ref subst 1003 ref 18277 remove absTerm 18278 def 1011 ref appTerm 18279 def betaConv nil 17 ref 18278 ref appTerm 18280 def axiom nil 399 ref 18280 remove nil cons cons 400 ref 18279 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18278 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp 18281 def subst appThm 18274 remove 18276 ref appTerm 18282 def refl appThm nil 150 ref 18282 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym nil 18058 ref 18276 ref nil cons 18283 def cons 18120 remove nil cons 18284 def cons nil cons cons 163 ref 18072 ref 129 ref 18272 remove 18075 remove constTerm 18078 ref appTerm 18079 ref appTerm 18285 def appTerm 133 ref 139 ref 41 ref 18083 ref appTerm 18084 ref appTerm absTerm appTerm appTerm absTerm 18286 def 18079 ref appTerm 18287 def betaConv 18077 ref 18089 ref 18286 ref appTerm 18288 def absTerm 18289 def 18078 ref appTerm 18290 def betaConv nil 18089 ref 18289 ref appTerm 18291 def axiom nil 399 ref 18291 remove nil cons cons 400 ref 18290 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18096 ref 18289 remove nil cons cons 18098 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18288 remove nil cons cons 400 ref 18287 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18096 ref 18286 remove nil cons cons 18099 ref cons nil cons cons 469 ref subst eqMp eqMp subst 18292 def subst sym nil 160 ref 707 ref 41 ref 18103 ref 14338 ref appTerm appTerm 18103 ref 18276 remove appTerm appTerm 18293 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 18293 remove nil cons cons nil cons nil cons cons 155 ref subst 165 ref 18136 ref appThm 439 ref 18105 ref 14094 ref 13963 ref 1597 ref 707 ref 14095 ref 707 ref 15145 remove absTerm 18294 def 708 ref appTerm betaConv 18295 def appThm absThm appThm absThm appThm appThm appThm 18295 remove appThm nil 1329 ref 18294 remove nil cons cons 1093 ref cons nil cons cons 18116 ref subst eqMp appThm sym nil 399 ref 14337 ref nil cons 18296 def cons 15147 remove cons nil cons cons 18297 def 416 ref subst 18297 remove 467 ref subst nil 435 ref 18151 remove cons 437 ref 14336 remove nil cons cons nil cons cons nil cons cons 515 ref subst 18298 def nil 18182 remove 437 ref 14164 ref cons nil cons 18299 def cons nil cons cons 451 ref subst 18300 def 15126 remove 14215 ref appTerm betaConv sym 625 ref nil 18210 ref 7647 ref cons nil cons cons 6133 ref subst appThm 18301 def 18197 ref appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 15144 remove 475 ref 18184 ref cons nil cons 18302 def cons nil cons cons 3525 ref subst proveHyp 15148 remove proveHyp 15151 remove eqMp proveHyp proveHyp eqMp nil 435 ref 18296 remove cons 18303 def 437 ref 15146 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp 18259 ref 18260 ref 18275 ref nil cons cons 18261 ref 18283 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 166 ref 18249 remove constTerm 18304 def 18275 remove appTerm nil cons cons 400 ref 18238 remove nil cons 18305 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 18284 ref nil cons cons 163 ref 18077 ref 41 ref 166 remove 18088 remove constTerm 18072 ref 18256 remove 18285 remove appTerm 18306 def absTerm 18307 def appTerm 18308 def appTerm 18309 def 18255 ref appTerm 18310 def absTerm 18311 def 18078 ref appTerm 18312 def betaConv nil 18089 ref 18077 ref 18089 ref 18072 ref 41 ref 18306 ref appTerm 18255 ref appTerm absTerm 18313 def appTerm 18314 def absTerm 18315 def appTerm 18316 def axiom nil 399 ref 18316 ref nil cons 18317 def cons 18318 def 400 ref 18089 ref 18311 ref appTerm nil cons 18319 def cons nil cons cons nil cons cons 18320 def 459 ref subst proveHyp 18320 ref 416 ref subst 18320 remove 467 ref subst nil 18096 ref 18311 remove nil cons cons 18321 def nil cons nil cons cons 18095 ref 127 remove cons 148 remove subst 18322 def subst 18077 ref nil 150 ref 18310 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 18308 remove nil cons 18323 def cons 18324 def 400 ref 18255 ref nil cons 18325 def cons nil cons 18326 def cons nil cons cons 18327 def 416 ref subst 18327 remove 467 ref subst nil 18318 ref 18326 ref cons nil cons cons 18328 def 459 ref subst nil 18324 remove 400 ref 41 ref 18316 remove appTerm 18255 remove appTerm 18329 def nil cons 18330 def cons nil cons 18331 def cons nil cons cons 459 ref subst nil 18096 ref 18072 ref 41 ref 18307 ref 18079 ref appTerm 18332 def appTerm 18329 ref appTerm 18333 def absTerm nil cons cons nil cons nil cons cons 18322 remove subst 18072 ref nil 150 ref 18333 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 18332 ref nil cons 18334 def cons 18331 ref cons nil cons cons 18335 def 416 ref subst 18335 remove 467 ref subst 18332 ref betaConv 18332 remove assume eqMp nil 399 ref 18306 remove nil cons 18336 def cons 18337 def 18331 remove cons nil cons cons 18338 def 459 ref subst proveHyp 18338 ref 416 ref subst 18338 remove 467 ref subst 18328 ref 416 ref subst 18328 remove 467 ref subst nil 18337 remove 18326 remove cons nil cons cons 459 ref subst 18313 ref 18079 ref appTerm 18339 def betaConv 18315 ref 18078 ref appTerm 18340 def betaConv nil 18318 remove 400 ref 18340 remove nil cons cons nil cons cons nil cons cons 459 ref subst 18095 ref 18096 ref 18315 remove nil cons cons 18098 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18314 remove nil cons cons 400 ref 18339 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18096 ref 18313 remove nil cons cons 18099 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 18317 remove cons 18341 def 437 ref 18325 remove cons nil cons 18342 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 18336 remove cons 437 ref 18330 remove cons nil cons 18343 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 18334 remove cons 18343 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 18089 ref 18097 ref 41 ref 18307 ref 18097 remove varTerm appTerm appTerm 18329 ref appTerm absTerm appTerm nil cons cons 400 ref 18309 remove 18329 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18096 ref 18307 remove nil cons cons 18343 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 18323 remove cons 18342 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 18341 remove 437 ref 18319 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 18319 remove cons 400 ref 18312 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18321 remove 18098 ref cons nil cons cons 469 ref subst eqMp eqMp subst 18344 def subst eqMp nil 399 ref 18305 remove cons 400 ref 18264 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 18058 ref 18241 remove 18273 remove 18068 ref appTerm 18345 def 18240 remove appTerm appTerm absTerm 18346 def 13962 ref 13963 ref 167 ref 707 ref 13966 ref 709 ref 18051 ref appTerm 18347 def appTerm absTerm appTerm absTerm appTerm 18348 def appTerm betaConv sym 625 ref nil 1003 ref 18202 remove cons nil cons nil cons cons 18281 remove subst appThm 18345 remove 18348 ref appTerm 18349 def refl appThm nil 150 ref 18349 remove nil cons cons nil cons nil cons cons 633 ref subst trans sym nil 18058 ref 18348 ref nil cons 18350 def cons 18070 ref 18117 remove cons nil cons 18351 def cons nil cons cons 18292 remove subst sym nil 160 ref 707 ref 41 ref 18103 ref 18068 ref appTerm 18352 def appTerm 18103 ref 18348 remove appTerm appTerm 18353 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 18353 remove nil cons cons nil cons nil cons cons 155 ref subst 165 ref 18139 ref appThm 439 ref 18105 remove 14094 ref 13963 ref 1597 ref 707 ref 14095 ref 707 ref 18347 ref absTerm 18354 def 708 ref appTerm betaConv 18355 def appThm absThm appThm absThm appThm appThm appThm 18355 remove appThm nil 1329 ref 18354 remove nil cons cons 1093 ref cons nil cons cons 18116 remove subst eqMp appThm sym nil 399 ref 18067 ref nil cons 18356 def cons 18357 def 400 ref 18347 remove nil cons 18358 def cons nil cons 18359 def cons nil cons cons 18360 def 416 ref subst 18360 remove 467 ref subst nil 435 ref 18157 ref cons 437 ref 18054 remove nil cons cons nil cons cons nil cons cons 18361 def 515 ref subst 18362 def nil 435 ref 18148 remove cons 18299 remove cons nil cons cons 18363 def 451 ref subst 18364 def 1003 ref 7820 ref 18198 remove appTerm absTerm 18365 def 14215 ref appTerm betaConv sym 18301 remove 18149 remove 155 ref subst 18052 remove assume 18366 def eqMp appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 18365 ref nil cons cons 18302 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 18365 remove appTerm nil cons cons 18359 remove cons nil cons cons 459 ref subst proveHyp nil 18203 remove 7647 ref cons nil cons cons 4776 ref subst eqMp proveHyp proveHyp eqMp nil 435 ref 18356 ref cons 18367 def 437 ref 18358 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp 18259 remove 18260 remove 18346 ref nil cons cons 18261 remove 18350 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 18304 remove 18346 remove appTerm nil cons cons 400 ref 18262 remove nil cons 18368 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 18351 ref nil cons cons 18344 remove subst eqMp nil 399 ref 18368 remove cons 400 ref 18263 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 18118 remove 18284 remove cons nil cons cons 163 ref 18072 ref 129 ref 18257 remove appTerm 18076 ref "Set.intersect" const 18369 def 18123 remove constTerm 18078 ref appTerm 18079 ref appTerm 18370 def appTerm "Set.{}" const 18371 def 18071 remove constTerm 18372 def appTerm appTerm absTerm 18373 def 18079 ref appTerm 18374 def betaConv 18077 ref 18089 ref 18373 ref appTerm 18375 def absTerm 18376 def 18078 ref appTerm 18377 def betaConv nil 18089 ref 18376 ref appTerm 18378 def axiom nil 399 ref 18378 remove nil cons cons 400 ref 18377 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18096 ref 18376 remove nil cons cons 18098 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18375 remove nil cons cons 400 ref 18374 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18096 ref 18373 remove nil cons cons 18099 ref cons nil cons cons 469 ref subst eqMp eqMp subst subst nil 18058 ref 18371 remove 13958 remove constTerm 18379 def nil cons cons 18070 remove 18369 remove 18061 remove constTerm 14338 remove appTerm 18068 ref appTerm 18380 def nil cons cons nil cons cons nil cons cons 18100 ref subst trans sym nil 160 ref 707 ref 129 ref 18103 ref 18380 remove appTerm appTerm 18103 ref 18379 ref appTerm appTerm 18381 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 18381 remove nil cons cons nil cons nil cons cons 155 ref subst 439 ref 18121 remove 163 ref 139 ref 129 ref 18082 ref 18370 remove appTerm appTerm 42 ref 18083 remove appTerm 18084 remove appTerm appTerm absTerm 18382 def 463 ref appTerm 18383 def betaConv 18072 remove 133 ref 18382 ref appTerm 18384 def absTerm 18385 def 18079 remove appTerm 18386 def betaConv 18077 remove 18089 ref 18385 ref appTerm 18387 def absTerm 18388 def 18078 remove appTerm 18389 def betaConv nil 18089 remove 18388 ref appTerm 18390 def axiom nil 399 ref 18390 remove nil cons cons 400 ref 18389 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 ref 18096 ref 18388 remove nil cons cons 18098 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18387 remove nil cons cons 400 ref 18386 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 18095 remove 18096 remove 18385 remove nil cons cons 18099 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18384 remove nil cons cons 400 ref 18383 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 18382 remove nil cons cons 3293 ref cons nil cons cons 469 ref subst eqMp eqMp subst subst 625 ref 18136 remove appThm 18139 ref appThm trans appThm 17624 remove 163 ref 139 ref 77 ref 18082 ref 18372 ref appTerm 18391 def appTerm 18392 def absTerm 18393 def 463 ref appTerm 18394 def betaConv nil 133 ref 18393 ref appTerm 18395 def axiom nil 399 ref 18395 remove nil cons cons 400 ref 18394 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 18393 remove nil cons cons 3293 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18392 remove nil cons cons 400 ref 129 ref 18391 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 435 ref 18391 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp subst subst appThm nil 150 ref 42 ref 14337 remove appTerm 18067 ref appTerm nil cons 18396 def cons nil cons nil cons cons 4418 ref subst trans sym nil 435 ref 18396 ref cons 18397 def nil cons nil cons cons 1926 remove sym 18398 def subst nil 399 ref 18396 remove cons 1425 ref cons nil cons cons 18399 def 416 ref subst 18399 remove 467 ref subst nil 18303 remove 437 ref 18356 ref cons nil cons 18400 def cons nil cons cons 18401 def 451 ref subst 18401 remove 515 ref subst 18298 remove 18300 remove 18361 remove 451 ref subst 18402 def nil 399 ref 18157 remove cons 1425 ref cons nil cons cons 459 ref subst 18158 remove 1412 ref subst nil 1003 ref 18184 remove cons 15738 ref cons nil cons cons 18403 def 4613 ref subst 18197 remove trans trans sym 154 ref eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 18397 remove 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 399 ref 18265 ref nil cons cons 18404 def 400 ref 41 ref 18268 ref appTerm 18233 ref appTerm 18405 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 18268 ref nil cons 18406 def cons 18271 remove cons nil cons cons 18407 def 416 ref subst 18407 remove 467 ref subst 129 ref "_51974" 14 ref var 18408 def 180 ref 18408 remove varTerm appTerm 14295 ref appTerm absTerm 18409 def 18231 remove appTerm 18410 def appTerm refl 18409 ref 18267 ref appTerm betaConv appThm 439 ref 18410 remove betaConv appThm 180 ref 18267 remove appTerm 14295 ref appTerm 18411 def refl appThm trans 18409 remove refl 18268 remove assume appThm eqMp sym 14321 remove nil 14347 remove 400 ref 18411 ref nil cons 18412 def cons nil cons 18413 def cons nil cons cons 459 ref subst proveHyp 16263 remove nil 16264 remove 400 ref 14381 remove 18411 ref appTerm 18414 def nil cons cons nil cons 18415 def cons nil cons cons 467 ref subst proveHyp 14368 remove nil 14369 remove 400 ref 14370 remove 18411 ref appTerm 18416 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 14373 remove 18413 remove cons nil cons cons 18417 def 416 ref subst 18417 remove 467 ref subst 16269 remove 14377 remove 15041 remove 15044 remove 15047 remove 1131 ref 1368 ref 15824 remove appThm 18266 ref refl appThm appThm 15763 remove appThm sym 180 ref 187 ref 14287 remove appTerm 18418 def 18266 ref appTerm appTerm refl nil 14367 ref nil cons cons 4539 ref subst 18419 def appThm sym nil 2073 ref 1003 ref 18266 remove nil cons cons 14367 remove cons cons nil cons cons 1192 remove subst sym nil 18058 remove "Set.insert" const 18420 def 0 ref 14 ref 18060 remove cons opType constTerm 14303 ref appTerm 18379 remove appTerm 18421 def nil cons cons 18351 remove cons nil cons cons 18100 remove subst sym nil 160 ref 707 ref 129 ref 18352 remove appTerm 18103 remove 18421 ref appTerm appTerm 18422 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 18422 remove nil cons cons nil cons nil cons cons 155 ref subst 439 ref 18139 remove appThm nil 1878 remove 15149 remove cons 1093 ref cons nil cons cons 163 ref 1894 remove 129 ref 18082 remove 18420 remove 0 remove 130 remove 18122 remove cons opType constTerm 18423 def 1895 ref appTerm 18372 ref appTerm appTerm appTerm 1896 remove appTerm absTerm 18424 def 1895 remove appTerm 18425 def betaConv 139 ref 133 ref 18424 ref appTerm 18426 def absTerm 18427 def 463 ref appTerm 18428 def betaConv nil 133 ref 18427 ref appTerm 18429 def axiom nil 399 ref 18429 remove nil cons cons 400 ref 18428 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 18427 remove nil cons cons 3293 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18426 remove nil cons cons 400 ref 18425 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 ref 134 ref 18424 remove nil cons cons 1936 remove cons nil cons cons 469 ref subst eqMp eqMp subst subst appThm sym nil 18357 remove 400 ref 717 ref 14303 ref appTerm 18430 def nil cons 18431 def cons nil cons cons nil cons cons 18432 def 1924 remove subst 18432 ref 416 ref subst 18432 remove 467 ref subst 18402 remove 18362 remove 18364 remove 18363 remove 515 ref subst nil 18186 remove 7647 ref cons nil cons cons 4431 ref subst 625 ref nil 15737 remove 7671 remove cons nil cons cons 1003 ref 129 ref 4422 remove appTerm 4604 remove appTerm 18433 def absTerm 18434 def 1011 ref appTerm 18435 def betaConv 1006 ref 17 ref 18434 ref appTerm 18436 def absTerm 18437 def 1009 ref appTerm 18438 def betaConv 603 ref 1006 ref 603 ref 1003 ref 18433 remove assume sym 4605 remove assume sym deductAntisym absThm appThm absThm appThm 4612 remove eqMp nil 399 ref 17 ref 18437 ref appTerm nil cons cons 400 ref 18438 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18437 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18436 remove nil cons cons 400 ref 18435 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18434 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 18439 def subst appThm nil 7646 remove 18187 remove cons nil cons cons 18439 remove subst appThm nil 1811 ref 7658 ref 14303 ref appTerm 18440 def nil cons 18441 def cons 1812 ref 18064 ref 708 ref appTerm 18442 def nil cons 18443 def cons nil cons cons nil cons cons 1811 ref 42 ref 129 ref 4437 remove appTerm 4434 remove appTerm 18444 def appTerm 129 ref 11511 remove appTerm 11510 remove appTerm 18445 def appTerm absTerm 18446 def 1816 ref appTerm 18447 def betaConv 1812 ref 607 ref 18446 ref appTerm 18448 def absTerm 18449 def 1814 ref appTerm 18450 def betaConv 1843 ref 1812 ref 1843 remove 1811 ref 625 ref 18444 ref assume sym 4438 ref assume sym deductAntisym appThm 18445 ref assume sym 11512 ref assume sym deductAntisym appThm absThm appThm absThm appThm nil 610 ref 1812 ref 607 ref 1811 ref 42 ref 4438 ref appTerm 11512 ref appTerm 18451 def absTerm 18452 def appTerm 18453 def absTerm nil cons cons nil cons nil cons cons 3523 ref subst 1812 ref nil 150 ref 18453 remove nil cons cons nil cons nil cons cons 155 ref subst nil 610 ref 18452 remove nil cons cons nil cons nil cons cons 3523 remove subst 1811 ref nil 150 ref 18451 remove nil cons cons nil cons nil cons cons 155 ref subst 4445 ref nil 399 ref 4438 remove nil cons cons 400 ref 11512 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 11519 remove eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 399 ref 607 ref 18449 ref appTerm nil cons cons 400 ref 18450 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 18449 remove nil cons cons 1825 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18448 remove nil cons cons 400 ref 18447 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 18446 remove nil cons cons 1826 ref cons nil cons cons 469 ref subst eqMp eqMp nil 435 ref 18444 remove nil cons cons 437 ref 18445 remove nil cons cons nil cons cons nil cons cons 515 ref subst proveHyp subst trans trans sym nil 435 ref 1486 ref 18442 ref appTerm 18440 ref appTerm nil cons 18454 def cons 18455 def nil cons nil cons cons 18398 remove subst nil 399 ref 18454 remove cons 1425 ref cons nil cons cons 18456 def 416 ref subst 18456 remove 467 ref subst nil 399 ref 18441 ref cons 1425 ref cons nil cons cons 18457 def 416 ref subst 18457 remove 467 ref subst nil 14589 ref 18225 ref cons nil cons cons 1028 remove subst 1597 ref 1014 ref 14552 ref refl nil 12182 remove 13638 ref 1006 ref 15811 ref cons nil cons 18458 def cons 18459 def cons nil cons cons 1169 ref subst appThm absThm appThm trans 18222 remove eqMp nil 399 ref 167 ref 1014 ref 14552 ref 12922 ref 15085 remove appTerm appTerm absTerm 18460 def appTerm 18461 def nil cons cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref "wd" 14 ref var 18462 def 41 ref 18460 ref 18462 ref varTerm 18463 def appTerm 18464 def appTerm 1407 ref appTerm 18465 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 18462 remove nil 150 ref 18465 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 18464 ref nil cons 18466 def cons 1425 ref cons nil cons cons 18467 def 416 ref subst 18467 remove 467 ref subst 18464 ref betaConv 18464 remove assume eqMp nil 399 ref 14552 remove 12922 ref 12941 ref 18463 ref appTerm 18468 def appTerm 18469 def appTerm 18470 def nil cons 18471 def cons 1425 ref cons nil cons cons 18472 def 459 ref subst proveHyp 18472 ref 416 ref subst 18472 remove 467 ref subst 18403 remove 4469 ref subst 18065 remove assume eqMp nil 399 ref 167 ref 1014 ref 180 ref 14215 remove appTerm 18473 def 15725 ref 4462 ref appTerm 18474 def appTerm absTerm 18475 def appTerm 18476 def nil cons cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 16055 ref 41 ref 18475 ref 16056 ref appTerm 18477 def appTerm 1407 ref appTerm 18478 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 16055 ref nil 150 ref 18478 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 18477 ref nil cons 18479 def cons 1425 ref cons nil cons cons 18480 def 416 ref subst 18480 remove 467 ref subst 18477 ref betaConv 18477 remove assume eqMp nil 399 ref 18473 ref 15725 ref 1285 ref 16056 ref appTerm 18481 def appTerm 18482 def appTerm nil cons 18483 def cons 18484 def 1425 ref cons nil cons cons 18485 def 459 ref subst proveHyp 18485 ref 416 ref subst 18485 remove 467 ref subst nil 18160 remove 1425 ref cons nil cons cons 459 ref subst 18162 remove 1412 ref subst sym nil 18484 remove 400 ref 18140 remove cons nil cons 18486 def cons nil cons cons 459 ref subst 165 ref 18473 ref refl 18487 def 16009 ref 18481 ref refl 18488 def appThm appThm appThm 14137 ref refl 18489 def appThm sym 165 ref 18487 ref 1368 ref 16013 ref 18470 remove assume appThm appThm 18488 remove appThm appThm appThm 18489 ref appThm sym 165 ref 18487 remove nil 1116 ref 18481 ref nil cons 18490 def cons 18491 def 1003 ref 18469 remove nil cons cons 16011 ref cons cons nil cons cons 1169 ref subst 16013 ref nil 18491 ref 1003 ref 18468 remove nil cons cons 18458 ref cons cons nil cons cons 1169 ref subst 12922 ref refl 18492 def nil 18491 remove 1003 ref 18463 ref nil cons 18493 def cons 18494 def 13635 ref cons cons nil cons cons 1169 ref subst appThm trans appThm trans appThm appThm 18489 remove appThm sym 1131 ref nil 1116 ref 187 ref 18463 ref appTerm 18495 def 18481 ref appTerm 18496 def nil cons 18497 def cons 18459 remove cons nil cons cons 2078 ref subst appThm nil 1116 ref 2714 ref 12923 ref appTerm 18498 def nil cons cons 18499 def 16291 ref 1006 ref 18493 remove cons nil cons cons 18500 def cons nil cons cons 2078 ref subst appThm sym 1131 ref nil 1003 ref 18497 ref cons 18225 remove cons nil cons cons 1210 ref subst appThm 187 ref 18495 ref 16056 ref appTerm 18501 def appTerm 18502 def 18498 ref appTerm refl appThm sym 1131 ref nil 14055 ref 15812 ref 1006 ref 18497 remove cons nil cons cons cons nil cons cons 2078 ref subst 1368 ref 1368 ref 18495 ref refl 18503 def nil 16546 ref nil cons cons 18504 def 4539 ref subst 18505 def appThm nil 2073 ref 18500 ref cons nil cons cons 18506 def 2078 ref subst trans appThm 12921 ref refl 18507 def appThm appThm 16444 ref appThm trans appThm nil 1116 ref 18209 remove cons 18508 def 1237 ref 1006 ref 18501 ref nil cons 18509 def cons nil cons 18510 def cons cons nil cons cons 2078 ref subst nil 14055 ref 15812 ref 1006 ref 18502 remove 192 ref appTerm 18511 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans appThm nil 475 ref 187 ref 187 ref 18511 ref appTerm 12921 ref appTerm appTerm 12917 ref appTerm nil cons cons nil cons nil cons cons 1281 ref subst trans sym 154 ref eqMp eqMp eqMp 129 ref "_52286" 14 ref var 18512 def 41 ref 18473 ref 14326 ref 18512 remove varTerm appTerm appTerm appTerm 14137 ref appTerm absTerm 18513 def 12922 ref 12941 ref 18496 remove appTerm appTerm 18514 def appTerm 18515 def appTerm refl 18513 ref 18495 ref 16545 ref 18498 remove appTerm 18516 def appTerm 18517 def appTerm betaConv appThm 439 ref 18515 remove betaConv appThm 41 ref 18473 remove 14326 ref 18517 ref appTerm appTerm appTerm 14137 ref appTerm refl appThm trans 18513 remove refl 180 ref 18514 remove appTerm 18517 remove appTerm assume appThm eqMp sym 165 ref 1131 ref 15813 remove appThm nil 1116 ref 18516 remove nil cons cons 18494 ref 16011 ref cons cons nil cons cons 2078 ref subst nil 18499 remove 16291 ref 1006 ref 14326 ref 18463 ref appTerm 18518 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 18508 ref 1237 ref 1006 ref 187 ref 18518 remove appTerm 16056 ref appTerm 18519 def nil cons cons nil cons cons cons nil cons cons 2078 ref subst nil 14055 ref 15812 remove 1006 ref 187 ref 18519 remove appTerm 192 ref appTerm nil cons cons nil cons cons cons nil cons cons 2078 ref subst trans trans trans 1368 ref 1368 ref 1368 ref 1368 ref 1368 ref 16206 remove appThm 18463 ref refl appThm appThm 16056 ref refl appThm appThm 2100 ref appThm appThm 18507 remove appThm appThm 16444 ref appThm trans appThm nil 1003 ref 187 ref 187 ref 187 ref 16332 remove 18463 remove appTerm 18520 def appTerm 16056 ref appTerm appTerm 192 ref appTerm 18521 def appTerm 12921 ref appTerm nil cons cons 14055 remove 1006 ref 15798 remove cons nil cons cons cons nil cons cons 2889 ref subst nil 1003 ref 18521 remove nil cons cons 1116 ref 15811 remove cons 7647 ref cons cons nil cons cons 2889 ref subst trans trans appThm 620 ref 13812 ref nil 17375 remove 14427 ref cons nil cons cons 18522 def 2078 ref subst nil 7790 remove 14429 ref cons nil cons cons 18523 def 2078 ref subst trans appThm appThm appThm sym 165 ref 717 ref refl nil 2073 ref 16291 ref 1006 ref 18520 remove nil cons cons nil cons cons cons nil cons cons 1169 ref subst nil 16815 remove 18494 remove 1006 ref 16330 remove cons nil cons cons cons nil cons cons 1169 ref subst trans 16335 remove 18495 remove 16814 ref appTerm 18524 def refl appThm trans appThm appThm 620 ref 13812 ref 18523 remove 1169 ref subst 18522 remove 1169 ref subst trans appThm appThm appThm sym nil 399 ref 717 ref 14326 ref 18524 ref appTerm 18525 def appTerm 18526 def nil cons 18527 def cons 18486 remove cons nil cons cons 18528 def 416 ref subst 18528 remove 467 ref subst 129 ref "_52288" 14 ref var 18529 def 77 ref 13720 ref 713 ref 12941 ref 2714 ref 18529 remove varTerm appTerm appTerm appTerm appTerm appTerm absTerm 18530 def 708 ref appTerm 18531 def appTerm refl 18530 ref 18525 ref appTerm betaConv appThm 439 ref 18531 remove betaConv appThm 77 ref 13720 ref 713 ref 12941 ref 2714 ref 18525 ref appTerm appTerm appTerm 18532 def appTerm appTerm 18533 def refl 18534 def appThm trans 18530 remove refl 18526 remove assume 18535 def appThm eqMp sym 14328 remove 18501 ref appTerm 18536 def betaConv nil 16271 remove 400 ref 18536 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 16272 remove 475 ref 18509 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 4349 ref 18501 ref appTerm 11919 ref appTerm 18537 def appTerm 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14326 remove 18511 remove appTerm appTerm appTerm appTerm 18538 def appTerm appTerm appTerm 13746 ref 18538 ref appTerm appTerm appTerm 129 ref 585 ref 18538 remove appTerm appTerm 180 ref 18501 remove appTerm 11910 ref appTerm 18539 def appTerm appTerm 18540 def appTerm 18541 def nil cons cons 400 ref 18533 ref nil cons 18542 def cons nil cons 18543 def cons nil cons cons 459 ref subst proveHyp 129 ref "_52438" 14 ref var 18544 def 4349 ref 18544 remove varTerm appTerm 14303 ref appTerm absTerm 18545 def 708 ref appTerm 18546 def appTerm refl 18545 ref 18525 ref appTerm betaConv appThm 439 ref 18546 remove betaConv appThm 4349 ref 18525 remove appTerm 18547 def 14303 ref appTerm 18548 def refl appThm trans 18545 remove refl 18535 remove appThm eqMp 18440 remove assume eqMp nil 399 ref 18548 remove nil cons cons 400 ref 18537 ref nil cons 18549 def cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 18547 remove refl 16008 remove appThm nil 14576 ref 1003 ref 18524 remove nil cons cons 16011 ref cons cons nil cons cons 16458 ref subst trans appThm 18537 ref refl 18550 def appThm sym 165 ref 6344 ref 18503 remove 18504 ref 4641 ref subst 18551 def appThm nil 18500 remove nil cons cons 1324 ref subst trans appThm 17637 ref appThm nil 12071 ref 18510 remove cons nil cons cons 15679 remove subst trans appThm 18550 remove appThm nil 150 ref 18549 ref cons nil cons nil cons cons 6664 ref subst trans sym 154 ref eqMp eqMp eqMp nil 399 ref 18549 remove cons 18552 def 400 ref 41 ref 18540 ref appTerm 18533 ref appTerm 18553 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 625 ref 625 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 16013 ref 18506 remove 1169 ref subst appThm appThm appThm appThm 18554 def appThm appThm appThm 13814 ref 18554 ref appThm appThm appThm 439 ref 14945 ref 18554 remove appThm appThm 18539 ref refl appThm appThm appThm 18534 remove appThm sym nil 399 ref 42 ref 42 ref 18533 ref appTerm 13746 ref 18532 ref appTerm 18555 def appTerm 18556 def appTerm 129 ref 585 ref 18532 remove appTerm appTerm 18539 remove appTerm 18557 def appTerm nil cons 18558 def cons 18543 remove cons nil cons cons 18559 def 416 ref subst 18559 remove 467 ref subst nil 435 ref 18556 remove nil cons cons 437 ref 18557 remove nil cons cons nil cons cons nil cons cons 451 ref subst nil 435 ref 18542 ref cons 437 ref 18555 remove nil cons cons nil cons cons nil cons cons 451 ref subst proveHyp eqMp nil 435 ref 18558 remove cons 437 ref 18542 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 399 ref 42 ref 18537 remove appTerm 18553 remove appTerm nil cons cons 400 ref 41 ref 18541 remove appTerm 18533 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 18542 remove cons 400 ref 18540 remove nil cons cons 18552 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 435 ref 18527 remove cons 18227 remove nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 18483 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 18479 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 18475 ref 689 ref appTerm appTerm 1407 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 18476 remove appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18475 remove nil cons cons 1978 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 18471 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 18466 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 18460 ref 689 ref appTerm appTerm 1407 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 18461 remove appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18460 remove nil cons cons 1978 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 18441 ref cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 18443 ref cons 1425 ref cons nil cons cons 18560 def 416 ref subst 18560 remove 467 ref subst nil 7670 remove 15738 ref cons nil cons cons 4469 ref subst 18442 remove assume eqMp nil 399 ref 167 ref 1014 ref 717 ref 18474 remove appTerm absTerm 18561 def appTerm 18562 def nil cons cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 16055 ref 41 ref 18561 ref 16056 ref appTerm 18563 def appTerm 1407 ref appTerm 18564 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 16055 ref nil 150 ref 18564 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 18563 ref nil cons 18565 def cons 1425 ref cons nil cons cons 18566 def 416 ref subst 18566 remove 467 ref subst 18563 ref betaConv 18563 remove assume eqMp nil 399 ref 717 ref 18482 ref appTerm 18567 def nil cons 18568 def cons 1425 ref cons nil cons cons 18569 def 459 ref subst proveHyp 18569 ref 416 ref subst 18569 remove 467 ref subst 129 ref "_52282" 14 ref var 18570 def 13720 ref 713 ref 12941 ref 2714 ref 18570 remove varTerm appTerm appTerm appTerm appTerm absTerm 18571 def 708 ref appTerm 18572 def appTerm refl 18571 ref 18482 ref appTerm betaConv appThm 439 ref 18572 remove betaConv appThm 13720 ref 713 ref 12941 ref 2714 ref 18482 ref appTerm appTerm appTerm appTerm 18573 def refl appThm trans 18571 remove refl 18567 remove assume 18574 def appThm eqMp 18163 remove eqMp nil 399 ref 18573 ref nil cons 18575 def cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil 150 ref 18575 remove cons nil cons nil cons cons 1412 ref subst sym 707 ref 14209 ref 42 ref 42 ref 77 ref 13720 ref 16005 ref appTerm appTerm appTerm 13746 ref 16005 remove appTerm appTerm appTerm 129 ref 16006 remove appTerm 14211 ref appTerm appTerm appTerm absTerm 18576 def 16056 ref appTerm 18577 def betaConv 129 ref "_51964" 14 ref var 18578 def 17 ref 707 ref 14209 ref 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 187 ref 13043 ref 18578 remove varTerm appTerm appTerm 7329 ref appTerm appTerm appTerm appTerm 18579 def appTerm appTerm appTerm 13746 ref 18579 ref appTerm appTerm appTerm 129 ref 585 ref 18579 remove appTerm appTerm 14211 ref appTerm appTerm appTerm absTerm appTerm absTerm 18580 def 14206 ref appTerm 18581 def appTerm refl 18582 def 18580 ref 14295 remove appTerm betaConv appThm 439 ref 18581 remove betaConv appThm 18583 def 17 ref 18576 ref appTerm 18584 def refl appThm trans 18580 remove refl 18585 def 14308 remove appThm eqMp 14235 remove assume 18586 def eqMp nil 399 ref 18584 remove nil cons cons 400 ref 18577 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18576 remove nil cons cons 16141 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 4349 ref 16056 ref appTerm 18587 def 11919 ref appTerm 18588 def appTerm 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 15725 ref 16814 ref appTerm appTerm appTerm appTerm 18589 def appTerm appTerm appTerm 13746 ref 18589 ref appTerm appTerm appTerm 129 ref 585 ref 18589 remove appTerm appTerm 180 ref 16056 ref appTerm 11910 remove appTerm 18590 def appTerm appTerm 18591 def appTerm 18592 def nil cons cons 400 ref 77 ref 18573 remove appTerm 18593 def nil cons 18594 def cons nil cons cons nil cons cons 459 ref subst proveHyp 129 ref "_52280" 14 ref var 18595 def 698 ref 187 ref 18595 remove varTerm appTerm 12923 ref appTerm appTerm 18051 ref appTerm absTerm 18596 def 708 ref appTerm 18597 def appTerm refl 18596 ref 18482 ref appTerm betaConv appThm 439 ref 18597 remove betaConv appThm 698 ref 187 ref 18482 remove appTerm 12923 ref appTerm appTerm 18051 ref appTerm 18598 def refl appThm trans 18596 remove refl 18574 remove appThm eqMp 18366 remove eqMp nil 399 ref 18598 remove nil cons cons 400 ref 18588 ref nil cons 18599 def cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 4701 ref nil 18508 ref 1003 ref 18490 remove cons 18600 def 15738 remove cons cons nil cons cons 1169 ref subst 16009 ref 187 ref 18481 ref appTerm 12923 ref appTerm 18601 def refl appThm nil 1116 ref 18601 ref nil cons 18602 def cons 18603 def 16012 ref cons nil cons cons 1169 ref subst 16013 ref nil 18603 ref 15306 ref cons nil cons cons 1169 ref subst 1223 ref nil 18603 ref 15310 ref cons nil cons cons 1169 ref subst 1229 ref nil 18603 ref 15311 ref cons nil cons cons 1169 ref subst 1235 ref nil 18603 ref 15312 ref cons nil cons cons 1169 ref subst 12506 ref nil 18603 remove 15316 ref cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm trans trans trans appThm nil 18200 remove nil cons cons 14574 remove subst 16009 ref 17699 ref appThm nil 14576 ref 16012 ref cons nil cons cons 1169 ref subst 16013 ref nil 14576 ref 15306 ref cons nil cons cons 1169 ref subst 1223 ref nil 14576 ref 15310 ref cons nil cons cons 1169 ref subst 1229 ref nil 14576 ref 15311 ref cons nil cons cons 1169 ref subst 1235 ref nil 14576 ref 15312 ref cons nil cons cons 1169 ref subst 12506 ref nil 14576 ref 15316 ref cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm trans trans trans 18604 def appThm nil 1116 ref 699 ref 700 ref 701 ref 11906 ref 189 ref 9356 ref 12928 ref appTerm 18605 def appTerm 18606 def appTerm 18607 def appTerm 18608 def appTerm 18609 def appTerm nil cons cons 18610 def 1003 ref 699 ref 700 ref 701 ref 11906 ref 189 ref 9356 ref 18601 remove appTerm 18611 def appTerm 18612 def appTerm 18613 def appTerm 18614 def appTerm 18615 def appTerm nil cons cons 16011 ref cons cons nil cons cons 6045 ref subst nil 1116 ref 18609 remove nil cons cons 18616 def 1003 ref 18615 remove nil cons cons 1221 ref cons cons nil cons cons 6045 ref subst nil 1116 ref 18608 remove nil cons cons 18617 def 1003 ref 18614 remove nil cons cons 1227 ref cons cons nil cons cons 6045 ref subst nil 1116 ref 18607 remove nil cons cons 18618 def 1003 ref 18613 remove nil cons cons 1233 ref cons cons nil cons cons 6045 ref subst nil 1116 ref 18606 remove nil cons cons 18619 def 1003 ref 18612 remove nil cons cons 12079 ref cons cons nil cons cons 6045 ref subst nil 1116 ref 18605 remove nil cons cons 18620 def 1003 ref 18611 remove nil cons cons 1240 ref cons cons nil cons cons 6045 ref subst nil 14576 ref 1003 ref 18602 remove cons 16315 ref cons cons nil cons cons 6045 ref subst trans trans trans trans trans trans trans appThm 18588 ref refl 18621 def appThm sym 165 ref 4701 ref nil 18210 ref 16546 ref cons nil cons cons 1313 ref subst appThm 17699 remove appThm nil 14589 remove 1006 ref 16545 ref 12923 ref appTerm 18622 def nil cons 18623 def cons nil cons cons nil cons cons 15655 remove subst trans appThm 18621 remove appThm sym 165 ref nil 14397 remove 1003 ref 18623 remove cons nil cons cons nil cons cons 18194 ref subst appThm nil 1006 ref 12070 remove cons 18624 def 16299 remove cons nil cons cons 18194 remove subst appThm nil 1811 ref 698 ref 11919 ref appTerm 18625 def 16056 ref appTerm 18626 def nil cons 18627 def cons 1812 ref 18224 ref 18622 remove appTerm nil cons 18628 def cons nil cons cons nil cons cons 1811 ref 129 ref 41 ref 4435 remove appTerm 4436 remove appTerm appTerm 41 ref 1816 ref appTerm 1814 ref appTerm appTerm absTerm 18629 def 1816 remove appTerm 18630 def betaConv 1812 ref 607 ref 18629 ref appTerm 18631 def absTerm 18632 def 1814 remove appTerm 18633 def betaConv nil 607 ref 18632 ref appTerm 18634 def axiom nil 399 ref 18634 remove nil cons cons 400 ref 18633 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 18632 remove nil cons cons 1825 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18631 remove nil cons cons 400 ref 18630 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 ref 18629 remove nil cons cons 1826 remove cons nil cons cons 469 ref subst eqMp eqMp subst trans sym nil 399 ref 18627 ref cons 400 ref 18628 ref cons nil cons cons nil cons cons 18635 def 416 ref subst 18635 remove 467 ref subst 129 ref "_52284" 14 ref var 18636 def 18224 ref 16545 ref 12922 ref 18636 remove varTerm appTerm appTerm appTerm absTerm 18637 def 12917 ref appTerm 18638 def appTerm refl 18637 ref 12916 ref appTerm betaConv appThm 439 ref 18638 remove betaConv appThm 18224 remove 16545 ref 12922 ref 12916 ref appTerm 18639 def appTerm appTerm refl appThm trans 18637 remove refl 15055 ref appThm eqMp sym 4701 ref 17637 ref appThm 16545 ref refl 18492 remove 16520 remove nil 12079 ref nil cons cons 4641 remove subst appThm nil 13643 remove nil cons cons 1324 ref subst trans appThm nil 13641 ref 18458 ref cons nil cons cons 1324 ref subst trans appThm nil 1003 ref 12922 ref 13137 ref appTerm 18640 def nil cons cons 16546 remove cons nil cons cons 18641 def 1324 ref subst trans appThm nil 1003 ref 16545 remove 18640 remove appTerm 18642 def nil cons 18643 def cons 18624 remove nil cons 18644 def cons nil cons cons 16806 ref subst trans sym 1003 ref 42 ref 18625 ref 1011 ref appTerm appTerm 4352 ref 18642 ref appTerm appTerm absTerm 18645 def 16056 ref appTerm betaConv sym 625 ref nil 150 ref 18627 ref cons nil cons nil cons cons 155 ref subst 18626 remove assume eqMp appThm 18641 remove 6133 ref subst appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 18645 ref nil cons cons 16141 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 18645 remove appTerm nil cons cons 400 ref 18625 remove 18642 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 18643 remove cons 18644 remove cons nil cons cons 4776 ref subst eqMp eqMp eqMp eqMp nil 435 ref 18627 remove cons 437 ref 18628 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 399 ref 18599 remove cons 18646 def 400 ref 41 ref 18591 ref appTerm 18593 ref appTerm 18647 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 625 ref 625 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 1368 ref 14394 ref 18419 remove appThm appThm 18648 def 16814 ref refl appThm appThm appThm appThm 18649 def appThm appThm appThm 13814 ref 18649 ref appThm appThm appThm 439 ref 14945 ref 18649 remove appThm appThm 18590 ref refl appThm appThm appThm 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 18648 remove 18505 remove appThm appThm appThm appThm appThm appThm appThm sym nil 399 ref 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 187 ref 13043 ref 18418 remove 192 ref appTerm appTerm appTerm 16814 ref appTerm appTerm appTerm appTerm 18650 def appTerm appTerm 18651 def appTerm 13746 ref 18650 ref appTerm 18652 def appTerm 18653 def appTerm 129 ref 585 ref 18650 remove appTerm appTerm 18590 remove appTerm 18654 def appTerm nil cons 18655 def cons 400 ref 18651 remove nil cons 18656 def cons nil cons cons nil cons cons 18657 def 416 ref subst 18657 remove 467 ref subst nil 435 ref 18653 remove nil cons cons 437 ref 18654 remove nil cons cons nil cons cons nil cons cons 451 ref subst nil 435 ref 18656 ref cons 437 ref 18652 remove nil cons cons nil cons cons nil cons cons 451 ref subst proveHyp eqMp nil 435 ref 18655 remove cons 437 ref 18656 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 399 ref 42 ref 18588 remove appTerm 18647 remove appTerm nil cons cons 400 ref 41 ref 18592 remove appTerm 18593 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 18594 remove cons 400 ref 18591 remove nil cons cons 18646 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp eqMp nil 435 ref 18568 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 18565 remove cons 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 18561 ref 689 ref appTerm appTerm 1407 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 18562 remove appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18561 remove nil cons cons 1978 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 18443 remove cons 18658 def 1978 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 18658 remove 437 ref 18441 remove cons 1999 remove cons cons nil cons cons 1571 ref subst proveHyp proveHyp eqMp nil 18455 remove 1978 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 18367 remove 437 ref 18431 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 41 ref 18067 ref appTerm 18430 ref appTerm nil cons cons 400 ref 41 ref 18430 ref appTerm 18067 remove appTerm nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 18431 ref cons 400 ref 18356 remove cons nil cons cons nil cons cons 18659 def 416 ref subst 18659 remove 467 ref subst 129 ref "_51976" 14 ref var 18660 def 42 ref 18064 ref 187 ref 18660 remove varTerm 18661 def appTerm 12923 ref appTerm 18662 def appTerm appTerm 42 ref 698 ref 18662 remove appTerm 18051 ref appTerm appTerm 13720 ref 713 ref 12941 ref 2714 ref 18661 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 18663 def 708 ref appTerm appTerm refl 18663 ref 14303 remove appTerm betaConv appThm 439 ref 18138 remove appThm 42 ref 18064 remove 15725 remove 12923 ref appTerm 18664 def appTerm appTerm 18665 def 42 ref 698 ref 18664 remove appTerm 18051 remove appTerm 18666 def appTerm 18667 def 14305 remove appTerm appTerm refl appThm trans 18663 remove refl 18430 remove assume appThm eqMp sym 18665 remove refl 18667 remove refl 15753 remove appThm nil 150 ref 18666 remove nil cons cons nil cons nil cons cons 1105 ref subst trans appThm sym 625 ref 18219 remove 14601 ref subst appThm 4701 ref 16009 remove 18208 remove appThm nil 18508 ref 16012 remove cons nil cons cons 1169 ref subst 16013 remove nil 18508 ref 15306 remove cons nil cons cons 1169 ref subst 1223 remove nil 18508 ref 15310 remove cons nil cons cons 1169 ref subst 1229 remove nil 18508 ref 15311 remove cons nil cons cons 1169 ref subst 1235 remove nil 18508 ref 15312 remove cons nil cons cons 1169 ref subst 12506 remove nil 18508 remove 15316 remove cons nil cons cons 1169 ref subst appThm trans appThm trans appThm trans appThm trans appThm trans trans appThm 18604 remove appThm nil 18610 remove 1003 ref 699 remove 700 remove 701 remove 11906 remove 189 ref 9356 remove 12923 ref appTerm 18668 def appTerm 18669 def appTerm 18670 def appTerm 18671 def appTerm 18672 def appTerm nil cons cons 16011 remove cons cons nil cons cons 6045 ref subst nil 18616 remove 1003 ref 18672 remove nil cons cons 1221 remove cons cons nil cons cons 6045 ref subst nil 18617 remove 1003 ref 18671 remove nil cons cons 1227 remove cons cons nil cons cons 6045 ref subst nil 18618 remove 1003 ref 18670 remove nil cons cons 1233 remove cons cons nil cons cons 6045 ref subst nil 18619 remove 1003 ref 18669 remove nil cons cons 12079 remove cons cons nil cons cons 6045 ref subst nil 18620 remove 1003 ref 18668 remove nil cons cons 1240 remove cons cons nil cons cons 6045 ref subst nil 14576 remove 18210 ref 16315 remove cons cons nil cons cons 6045 ref subst trans trans trans trans trans trans trans appThm sym 42 ref 13967 ref 12923 ref appTerm 18673 def appTerm refl 18223 remove appThm nil 150 ref 18673 remove nil cons cons nil cons nil cons cons 1105 ref subst 18674 def trans sym 129 ref "_52126" 14 ref var 18675 def 13967 ref 12922 remove 18675 remove varTerm appTerm appTerm absTerm 18676 def 12917 ref appTerm 18677 def appTerm refl 18676 ref 12916 ref appTerm betaConv appThm 439 ref 18677 remove betaConv appThm 13967 remove 18639 ref appTerm refl appThm trans 18676 remove refl 15055 remove appThm eqMp sym nil 1003 ref 18639 remove nil cons cons nil cons nil cons cons 14605 ref subst 620 ref nil 16187 remove 18458 remove cons nil cons cons 6617 ref subst 42 ref 180 ref 12921 remove appTerm 191 ref appTerm 18678 def appTerm refl nil 16518 remove nil cons cons 6617 ref subst 42 ref 180 ref 68 remove appTerm 191 ref appTerm 18679 def appTerm refl nil 16521 remove nil cons cons 6617 ref subst 15315 remove 14607 remove appThm 15321 remove trans trans appThm nil 150 ref 18679 remove nil cons cons nil cons nil cons cons 6632 ref subst trans trans appThm nil 150 ref 18678 remove nil cons cons nil cons nil cons cons 6632 ref subst trans trans appThm 1507 ref trans trans sym 154 ref eqMp eqMp 18680 def eqMp eqMp eqMp eqMp eqMp nil 435 ref 18431 remove cons 18400 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp 14093 ref 18235 remove 18068 remove appTerm 18421 remove appTerm assume appThm nil 18201 remove nil cons cons 163 ref 139 ref 180 ref 18258 ref 18423 remove 463 ref appTerm 18372 ref appTerm appTerm appTerm 192 ref appTerm absTerm 18681 def 463 remove appTerm 18682 def betaConv nil 133 remove 18681 ref appTerm 18683 def axiom nil 399 ref 18683 remove nil cons cons 400 ref 18682 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3207 remove 134 remove 18681 remove nil cons cons 3293 remove cons nil cons cons 469 ref subst eqMp eqMp subst subst trans proveHyp eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 14379 remove 437 ref 18412 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 14380 remove 18416 remove appTerm nil cons cons 18415 remove cons nil cons cons 459 ref subst proveHyp nil 1559 ref 18412 remove cons 18684 def 14382 remove cons nil cons cons 2139 ref subst eqMp eqMp nil 399 ref 16341 remove 18414 remove appTerm nil cons cons 400 ref 16342 remove 18411 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 18684 remove 16343 remove cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 435 ref 18406 ref cons 437 ref 18270 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 18265 remove appTerm 18405 remove appTerm nil cons cons 400 ref 41 ref 18269 remove appTerm 18233 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 18270 remove cons 400 ref 18406 remove cons 18404 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp proveHyp eqMp eqMp nil 14383 remove 437 ref 18038 ref cons nil cons 18685 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 14385 remove 18685 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 14386 remove 14252 ref appTerm absTerm appTerm nil cons cons 400 ref 14387 remove 14252 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14388 remove 18685 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 14389 remove 18685 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 14390 remove 18039 remove cons nil cons cons 18686 def 416 ref subst 18686 remove 467 ref subst 18048 remove "_51534" 14 ref var 18687 def 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 14216 ref 13043 ref 1285 ref 18687 remove varTerm 18688 def appTerm appTerm appTerm appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 18688 remove appTerm absTerm 191 ref appTerm betaConv appThm 18049 remove 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 14216 ref 13043 ref 2111 ref appTerm appTerm appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 191 ref appTerm refl appThm trans 18057 remove 14395 ref appThm eqMp sym 1131 ref 14093 ref 14094 ref 13963 ref 1597 ref 707 ref 14095 ref 14096 ref 625 ref 14216 ref refl 18689 def 14394 ref 2125 remove appThm 14399 remove 3365 remove subst trans appThm appThm 14081 ref appThm appThm appThm absThm appThm absThm appThm appThm appThm 1266 ref appThm sym nil 160 ref 707 ref 129 ref 13969 ref 42 ref 14216 ref 12928 ref appTerm 18690 def appTerm 14032 ref appTerm 18691 def appTerm 18692 def appTerm 1407 ref appTerm 18693 def absTerm 18694 def nil cons cons 18695 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 18693 remove nil cons cons nil cons nil cons cons 155 ref subst nil 150 ref 18692 remove nil cons cons nil cons nil cons cons 4418 ref subst 620 ref 625 ref 18170 remove appThm 18691 ref refl appThm appThm trans sym nil 14160 remove 400 ref 41 ref 18690 ref appTerm 14137 remove appTerm 18696 def nil cons 18697 def cons nil cons 18698 def cons nil cons cons 18699 def 416 ref subst 18699 remove 467 ref subst 14799 ref nil 14802 ref 18698 ref cons nil cons cons 459 ref subst proveHyp 14803 ref 18696 ref refl appThm sym nil 160 ref 14804 ref 14807 ref 18696 ref appTerm 18700 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 14804 ref nil 150 ref 18700 remove nil cons cons nil cons nil cons cons 155 ref subst nil 14810 ref 18698 ref cons nil cons cons 18701 def 416 ref subst 18701 remove 467 ref subst 14812 ref nil 14816 ref 18698 remove cons nil cons cons 18702 def 459 ref subst proveHyp 18702 ref 416 ref subst 18702 remove 467 ref subst 129 ref "_51678" 14 ref var 18703 def 41 ref 698 ref 187 ref 18703 remove varTerm 18704 def appTerm 12923 ref appTerm appTerm 12928 ref appTerm appTerm 77 ref 13720 ref 713 ref 12941 ref 2714 ref 18704 remove appTerm appTerm appTerm appTerm appTerm appTerm absTerm 18705 def 708 ref appTerm 18706 def appTerm refl 18705 ref 14813 ref appTerm betaConv appThm 439 ref 18706 remove betaConv appThm 41 ref 698 ref 187 ref 14813 ref appTerm 12923 ref appTerm appTerm 12928 ref appTerm appTerm 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14813 ref appTerm appTerm appTerm 18707 def appTerm 18708 def appTerm 18709 def appTerm refl appThm trans 18705 remove refl 14835 ref appThm eqMp sym 165 ref 4701 ref nil 18210 remove 14883 ref cons nil cons cons 18710 def 1313 ref subst appThm 17637 ref appThm nil 12071 remove 1006 ref 14851 remove 12923 remove appTerm 18711 def nil cons 18712 def cons nil cons cons nil cons cons 16806 ref subst trans appThm 620 ref 13812 ref 7837 ref 14040 ref nil 14864 remove 4159 ref cons 18713 def nil cons cons 1324 ref subst appThm nil 1003 ref 2714 ref 14805 ref appTerm 18714 def nil cons cons 13635 ref cons 18715 def nil cons cons 1324 ref subst trans appThm nil 1003 ref 12941 ref 18714 remove appTerm 18716 def nil cons cons 7786 ref cons 18717 def nil cons cons 1324 ref subst trans appThm appThm appThm sym nil 399 ref 698 ref 18711 ref appTerm 11919 ref appTerm 18718 def nil cons 18719 def cons 400 ref 77 ref 13720 ref 1285 ref 713 ref 18716 remove appTerm 18720 def appTerm appTerm appTerm 18721 def nil cons 18722 def cons nil cons 18723 def cons nil cons cons 18724 def 416 ref subst 18724 remove 467 ref subst 707 ref 14209 ref 42 ref 42 ref 77 ref 13720 ref 16571 ref appTerm appTerm appTerm 13746 ref 16571 remove appTerm appTerm appTerm 129 ref 16572 remove appTerm 14211 ref appTerm appTerm appTerm absTerm 18725 def 14805 remove appTerm 18726 def betaConv 18582 remove "_51672" 14 ref var 18727 def 17 ref 707 ref 14209 ref 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 187 ref 13043 ref 18727 remove varTerm appTerm appTerm 7329 ref appTerm appTerm appTerm appTerm 18728 def appTerm appTerm appTerm 13746 ref 18728 ref appTerm appTerm appTerm 129 ref 585 ref 18728 remove appTerm appTerm 14211 ref appTerm appTerm appTerm absTerm appTerm absTerm 191 ref appTerm betaConv appThm 18583 remove 17 ref 18725 ref appTerm 18729 def refl appThm trans 18585 remove 14395 remove appThm eqMp 18586 remove eqMp nil 399 ref 18729 remove nil cons cons 400 ref 18726 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18725 remove nil cons cons 14847 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 14850 remove 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 16570 remove 14852 ref appTerm appTerm appTerm appTerm 18730 def appTerm appTerm appTerm 13746 ref 18730 ref appTerm appTerm appTerm 129 ref 585 ref 18730 remove appTerm appTerm 14858 ref appTerm appTerm 18731 def appTerm 18732 def nil cons cons 18723 remove cons nil cons cons 459 ref subst proveHyp 1003 ref 14867 remove 16289 remove appTerm absTerm 18733 def 18711 remove appTerm betaConv sym 625 ref 18710 remove 14601 ref subst appThm nil 150 ref 18719 ref cons nil cons nil cons cons 155 ref subst 18718 remove assume eqMp appThm 18674 remove trans sym 18680 remove eqMp eqMp 162 ref 160 ref 18733 ref nil cons cons 475 ref 18712 remove cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 18733 remove appTerm nil cons cons 14881 remove cons nil cons cons 459 ref subst proveHyp 14884 remove 4602 ref subst eqMp nil 14928 remove 400 ref 41 ref 18731 ref appTerm 18721 ref appTerm 18734 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 625 ref 625 ref 620 ref 13812 ref 7837 ref 14040 ref 4544 ref 16573 remove 14852 ref refl appThm nil 1003 ref 14852 ref nil cons cons nil cons nil cons cons 1264 remove subst trans appThm appThm appThm 18735 def appThm appThm appThm 13814 ref 18735 ref appThm appThm appThm 439 ref 14945 ref 18735 remove appThm appThm 14858 ref refl appThm appThm appThm 620 ref 13812 ref nil 1006 ref 18720 remove nil cons cons nil cons nil cons cons 4539 ref subst nil 2073 ref 18717 remove cons nil cons cons 1169 ref subst trans 7837 ref nil 2073 ref 18715 remove cons nil cons cons 1169 ref subst 14040 ref nil 2073 ref 18713 remove cons nil cons cons 1169 ref subst appThm trans appThm trans appThm appThm appThm sym nil 399 ref 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14852 remove appTerm appTerm appTerm 18736 def appTerm appTerm 18737 def appTerm 13746 ref 18736 ref appTerm 18738 def appTerm 18739 def appTerm 129 ref 585 ref 18736 remove appTerm appTerm 14858 remove appTerm 18740 def appTerm nil cons 18741 def cons 400 ref 18737 remove nil cons 18742 def cons nil cons cons nil cons cons 18743 def 416 ref subst 18743 remove 467 ref subst nil 435 ref 18739 remove nil cons cons 437 ref 18740 remove nil cons cons nil cons cons nil cons cons 451 ref subst nil 435 ref 18742 ref cons 437 ref 18738 remove nil cons cons nil cons cons nil cons cons 451 ref subst proveHyp eqMp nil 435 ref 18741 remove cons 437 ref 18742 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 399 ref 14989 remove 18734 remove appTerm nil cons cons 400 ref 41 ref 18732 remove appTerm 18721 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 18722 ref cons 400 ref 18731 remove nil cons cons 14991 remove cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp nil 435 ref 18719 remove cons 437 ref 18722 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 14993 ref 437 ref 18697 remove cons nil cons 18744 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 14995 ref 18744 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 14996 ref 18696 ref appTerm absTerm appTerm nil cons cons 400 ref 14997 ref 18696 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14998 ref 18744 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 14153 ref 18744 remove cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 15302 remove 18696 remove appTerm nil cons cons 400 ref 77 ref 14135 ref 18691 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 7721 ref 14164 remove cons 7590 ref 18690 remove nil cons cons 611 ref 14152 remove cons nil cons cons cons nil cons cons nil 9159 ref 400 ref 41 ref 9160 remove 41 ref 7591 ref appTerm 18745 def 77 ref 7721 ref varTerm 18746 def appTerm 18747 def appTerm 18748 def appTerm appTerm 77 ref 9162 ref 42 ref 7591 ref appTerm 18749 def 18746 ref appTerm 18750 def appTerm 18751 def appTerm appTerm nil cons 18752 def cons nil cons 18753 def cons nil cons cons 18754 def 416 ref subst 18754 remove 467 ref subst 129 ref "_48392" 2 ref var 18755 def 41 ref 41 ref 18755 remove varTerm 18756 def appTerm 18748 ref appTerm appTerm 77 ref 42 ref 18756 remove appTerm 18750 ref appTerm appTerm appTerm absTerm 18757 def 9155 ref appTerm 18758 def appTerm refl 18759 def 18757 ref 1407 ref appTerm betaConv appThm 439 ref 18758 remove betaConv appThm 18760 def 41 ref 1859 ref 18748 ref appTerm appTerm 77 ref 1498 ref 18750 ref appTerm 18761 def appTerm appTerm refl appThm trans 18757 remove refl 18762 def 9176 ref appThm eqMp sym 165 ref nil 150 ref 18748 ref nil cons cons nil cons nil cons cons 18763 def 1865 ref subst appThm 620 ref nil 150 ref 18750 ref nil cons cons nil cons nil cons cons 18764 def 1506 ref subst 18765 def appThm 1507 ref trans appThm 4009 ref trans sym 154 ref eqMp eqMp eqMp nil 9181 ref 437 ref 18752 ref cons nil cons 18766 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 9185 ref 18753 remove cons nil cons cons 18767 def 416 ref subst 18767 remove 467 ref subst 18759 remove "_48390" 2 ref var 18768 def 41 ref 41 ref 18768 remove varTerm 18769 def appTerm 18748 ref appTerm appTerm 77 ref 42 ref 18769 remove appTerm 18750 ref appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 18760 remove 41 ref 604 ref 18748 ref appTerm appTerm 77 ref 629 ref 18750 ref appTerm 18770 def appTerm appTerm refl appThm trans 18762 remove 9191 ref appThm eqMp sym 165 ref 18763 remove 614 ref subst appThm 620 ref 18764 remove 633 ref subst 18771 def appThm appThm sym nil 399 ref 7592 ref 1407 ref appTerm 18772 def nil cons 18773 def cons 18774 def 400 ref 41 ref 18748 remove appTerm 77 ref 18750 ref appTerm appTerm nil cons 18775 def cons nil cons 18776 def cons nil cons cons 18777 def 416 ref subst 18777 remove 467 ref subst 129 ref "_48396" 2 ref var 18778 def 41 ref 41 ref 18778 remove varTerm 18779 def appTerm 18747 ref appTerm appTerm 77 ref 42 ref 18779 remove appTerm 18746 ref appTerm appTerm appTerm absTerm 18780 def 7591 ref appTerm 18781 def appTerm refl 18782 def 18780 ref 1407 ref appTerm betaConv appThm 439 ref 18781 remove betaConv appThm 18783 def 41 ref 1859 ref 18747 ref appTerm appTerm 77 ref 1498 ref 18746 ref appTerm 18784 def appTerm appTerm refl appThm trans 18780 remove refl 18785 def 18772 remove assume 18786 def appThm eqMp sym 165 ref nil 150 ref 18747 ref nil cons cons nil cons nil cons cons 18787 def 1865 ref subst appThm 620 ref nil 150 ref 18746 ref nil cons cons nil cons nil cons cons 18788 def 1506 ref subst 18789 def appThm 1507 ref trans appThm 4009 remove trans sym 154 ref eqMp eqMp eqMp nil 435 ref 18773 ref cons 18790 def 437 ref 18775 ref cons nil cons 18791 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 7592 remove 140 ref appTerm 18792 def nil cons 18793 def cons 18794 def 18776 remove cons nil cons cons 18795 def 416 ref subst 18795 remove 467 ref subst 18782 remove "_48394" 2 ref var 18796 def 41 ref 41 ref 18796 remove varTerm 18797 def appTerm 18747 ref appTerm appTerm 77 ref 42 ref 18797 remove appTerm 18746 ref appTerm appTerm appTerm absTerm 140 ref appTerm betaConv appThm 18783 remove 41 ref 604 ref 18747 remove appTerm appTerm 77 ref 629 ref 18746 ref appTerm 18798 def appTerm appTerm refl appThm trans 18785 remove 18792 remove assume 18799 def appThm eqMp sym 165 ref 18787 ref 614 ref subst appThm 620 ref 18788 ref 633 ref subst 18800 def appThm appThm 18787 remove 6664 ref subst trans sym 154 ref eqMp eqMp eqMp nil 435 ref 18793 remove cons 18801 def 18791 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1545 remove 7591 ref appTerm 18802 def betaConv 1548 remove nil 1549 remove 400 ref 18802 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1550 remove 611 ref 9178 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 18803 def nil 18801 ref 437 ref 18773 remove cons 18804 def 1553 ref 18775 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 9196 ref 18766 remove cons nil cons cons 451 ref subst deductAntisym eqMp 9198 ref nil 9196 ref 9199 ref 1553 ref 18752 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp eqMp absThm eqMp 14093 ref 14094 ref 13963 ref 1597 ref 707 ref 14095 ref 18694 ref 708 ref appTerm 18805 def betaConv nil 399 ref 17 ref 18694 remove appTerm nil cons cons 400 ref 18805 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 18695 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp appThm nil 150 ref 13965 remove nil cons cons nil cons nil cons cons 6632 ref subst trans absThm appThm 1797 remove 163 ref 150 ref 129 ref 659 remove 1094 remove appTerm appTerm 151 ref appTerm absTerm 18806 def 151 remove appTerm 18807 def betaConv nil 607 remove 18806 ref appTerm 18808 def axiom nil 399 ref 18808 remove nil cons cons 400 ref 18807 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 610 remove 18806 remove nil cons cons 613 remove cons nil cons cons 469 ref subst eqMp eqMp subst subst trans absThm appThm 163 ref nil 18076 remove 18108 remove 139 remove 1407 ref absTerm appTerm appTerm 18372 ref appTerm axiom subst trans appThm 163 remove nil 180 ref 18258 remove 18372 remove appTerm appTerm 191 ref appTerm axiom subst trans proveHyp eqMp eqMp eqMp nil 14284 ref 18685 remove cons nil cons cons 451 ref subst deductAntisym eqMp 14411 remove nil 14284 remove 14412 remove 1553 ref 18038 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp proveHyp proveHyp eqMp nil 435 ref 17026 remove cons 437 ref 17029 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 17025 remove appTerm 17028 remove appTerm nil cons cons 16879 remove cons nil cons cons 459 ref subst proveHyp nil 7721 remove 17029 remove cons 7590 ref 17032 remove cons 611 ref 17031 remove cons nil cons cons cons nil cons cons nil 9159 ref 400 ref 41 ref 42 ref 9163 ref appTerm 41 ref 9163 ref appTerm 18809 def 18746 ref appTerm appTerm appTerm 18751 remove appTerm nil cons 18810 def cons nil cons 18811 def cons nil cons cons 18812 def 416 ref subst 18812 remove 467 ref subst 129 ref "_48400" 2 ref var 18813 def 41 ref 42 ref 42 ref 18813 remove varTerm appTerm 18814 def 7591 ref appTerm 18815 def appTerm 41 ref 18815 remove appTerm 18746 ref appTerm appTerm appTerm 18814 remove 18750 ref appTerm appTerm absTerm 18816 def 9155 ref appTerm 18817 def appTerm refl 18818 def 18816 ref 1407 ref appTerm betaConv appThm 439 ref 18817 remove betaConv appThm 18819 def 41 ref 42 ref 9174 ref appTerm 41 ref 9174 ref appTerm 18820 def 18746 ref appTerm appTerm appTerm 18761 remove appTerm refl appThm trans 18816 remove refl 18821 def 9176 ref appThm eqMp sym 165 ref 625 ref 9180 ref appThm 165 ref 9180 ref appThm 18822 def 18746 ref refl 18823 def appThm 18788 ref 1865 ref subst trans appThm 4059 remove trans appThm 18765 remove appThm 6654 ref trans sym 154 ref eqMp eqMp eqMp nil 9181 ref 437 ref 18810 ref cons nil cons 18824 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 9185 ref 18811 remove cons nil cons cons 18825 def 416 ref subst 18825 remove 467 ref subst 18818 remove "_48398" 2 ref var 18826 def 41 ref 42 ref 42 ref 18826 remove varTerm appTerm 18827 def 7591 ref appTerm 18828 def appTerm 41 ref 18828 remove appTerm 18746 ref appTerm appTerm appTerm 18827 remove 18750 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 18819 remove 41 ref 42 ref 9190 ref appTerm 41 ref 9190 ref appTerm 18829 def 18746 ref appTerm appTerm appTerm 18770 remove appTerm refl appThm trans 18821 remove 9191 ref appThm eqMp sym 165 ref 625 ref 9194 ref appThm 165 ref 9194 ref appThm 18830 def 18823 remove appThm appThm appThm 18771 remove appThm sym nil 18774 remove 400 ref 41 ref 18749 remove 18745 remove 18746 ref appTerm appTerm appTerm 18750 remove appTerm nil cons 18831 def cons nil cons 18832 def cons nil cons cons 18833 def 416 ref subst 18833 remove 467 ref subst 129 ref "_48404" 2 ref var 18834 def 41 ref 42 ref 18834 remove varTerm 18835 def appTerm 18836 def 41 ref 18835 remove appTerm 18746 ref appTerm appTerm appTerm 18836 remove 18746 ref appTerm appTerm absTerm 18837 def 7591 ref appTerm 18838 def appTerm refl 18839 def 18837 ref 1407 ref appTerm betaConv appThm 439 ref 18838 remove betaConv appThm 18840 def 41 ref 1498 ref 1859 remove 18746 ref appTerm 18841 def appTerm appTerm 18784 remove appTerm refl appThm trans 18837 remove refl 18842 def 18786 remove appThm eqMp sym 165 ref nil 150 ref 18841 remove nil cons cons nil cons nil cons cons 1506 ref subst appThm 18789 remove appThm 6654 ref trans sym 154 ref eqMp eqMp eqMp nil 18790 remove 437 ref 18831 ref cons nil cons 18843 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 18794 remove 18832 remove cons nil cons cons 18844 def 416 ref subst 18844 remove 467 ref subst 18839 remove "_48402" 2 ref var 18845 def 41 ref 42 ref 18845 remove varTerm 18846 def appTerm 18847 def 41 ref 18846 remove appTerm 18746 ref appTerm appTerm appTerm 18847 remove 18746 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 18840 remove 41 ref 629 ref 604 remove 18746 remove appTerm 18848 def appTerm appTerm 18798 remove appTerm refl appThm trans 18842 remove 18799 remove appThm eqMp sym 165 ref nil 150 ref 18848 remove nil cons cons nil cons nil cons cons 633 ref subst 18788 ref 614 ref subst trans appThm 18800 remove appThm 18788 remove 6664 ref subst trans sym 154 ref eqMp eqMp eqMp nil 18801 ref 18843 remove cons nil cons cons 451 ref subst deductAntisym eqMp 18803 remove nil 18801 remove 18804 remove 1553 ref 18831 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 9196 ref 18824 remove cons nil cons cons 451 ref subst deductAntisym eqMp 9198 ref nil 9196 ref 9199 ref 1553 ref 18810 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp nil 435 ref 16868 ref cons 437 ref 16878 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 14236 remove 16877 remove appTerm nil cons cons 14264 remove cons nil cons cons 459 ref subst proveHyp nil 7590 ref 16878 remove cons 611 ref 16868 remove cons nil cons cons nil cons cons nil 9159 ref 400 ref 41 ref 9162 remove 9161 remove appTerm appTerm 9163 remove appTerm nil cons 18849 def cons nil cons 18850 def cons nil cons cons 18851 def 416 ref subst 18851 remove 467 ref subst 129 ref "_48408" 2 ref var 18852 def 41 ref 42 ref 18852 remove varTerm 18853 def appTerm 18854 def 41 ref 18853 remove appTerm 7591 ref appTerm appTerm appTerm 18854 remove 7591 ref appTerm appTerm absTerm 18855 def 9155 ref appTerm 18856 def appTerm refl 18857 def 18855 ref 1407 ref appTerm betaConv appThm 439 ref 18856 remove betaConv appThm 18858 def 41 ref 1498 remove 9173 remove appTerm appTerm 9174 remove appTerm refl appThm trans 18855 remove refl 18859 def 9176 ref appThm eqMp sym 165 ref 9177 remove 1506 ref subst appThm 9180 remove appThm 6654 remove trans sym 154 ref eqMp eqMp eqMp nil 9181 ref 437 ref 18849 ref cons nil cons 18860 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 9185 ref 18850 remove cons nil cons cons 18861 def 416 ref subst 18861 remove 467 ref subst 18857 remove "_48406" 2 ref var 18862 def 41 ref 42 ref 18862 remove varTerm 18863 def appTerm 18864 def 41 ref 18863 remove appTerm 7591 ref appTerm appTerm appTerm 18864 remove 7591 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 18858 remove 41 ref 629 remove 9189 remove appTerm appTerm 9190 remove appTerm refl appThm trans 18859 remove 9191 ref appThm eqMp sym 165 ref 9192 remove 633 ref subst 9193 remove trans appThm 9194 remove appThm 9195 ref trans sym 154 ref eqMp eqMp eqMp nil 9196 ref 18860 remove cons nil cons cons 451 ref subst deductAntisym eqMp 9198 ref nil 9196 ref 9199 ref 1553 ref 18849 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp subst eqMp proveHyp eqMp nil 435 ref 14262 remove cons 437 ref 14263 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 14259 remove cons 437 ref 14260 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 14258 remove appTerm nil cons cons 400 ref 17 ref 14205 ref 14256 remove absTerm 18865 def appTerm nil cons 18866 def cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 14205 ref 165 ref 603 ref 1006 ref 14207 remove refl 18865 ref 1009 ref appTerm betaConv appThm absThm appThm appThm 18865 ref 14206 remove appTerm betaConv 18867 def appThm absThm appThm appThm 603 ref 14205 remove 18867 remove absThm appThm appThm nil 1329 ref 18865 ref nil cons 18868 def cons nil cons nil cons cons 16875 remove subst eqMp eqMp 129 ref "_52440" 14 ref var 18869 def 42 ref 17 ref 707 ref 41 ref 709 ref 18869 remove varTerm 18870 def appTerm appTerm 13774 ref 698 ref 18870 ref appTerm 708 ref appTerm appTerm appTerm absTerm appTerm appTerm 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 713 ref 187 ref 18870 remove appTerm 192 ref appTerm appTerm appTerm 13137 ref appTerm 18871 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 18871 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm appTerm absTerm 18872 def 1017 ref appTerm 18873 def appTerm refl 18872 ref 13923 ref appTerm betaConv appThm 439 ref 18873 remove betaConv appThm 42 ref 17 ref 707 ref 41 ref 709 ref 13923 ref appTerm 18874 def appTerm 18875 def 13774 ref 698 ref 13923 ref appTerm 18876 def 708 ref appTerm 18877 def appTerm 18878 def appTerm 18879 def absTerm 18880 def appTerm 18881 def appTerm 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 713 ref 187 ref 13923 ref appTerm 18882 def 192 ref appTerm 18883 def appTerm 18884 def appTerm 13137 ref appTerm 18885 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 18885 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm 18886 def appTerm refl appThm trans 18872 remove refl 13928 ref appThm eqMp sym nil 160 ref 707 ref 41 ref 7658 ref 13921 ref appTerm appTerm 129 ref 13720 ref 713 ref 12941 ref 2714 ref 7680 ref appTerm appTerm appTerm 18887 def appTerm appTerm 77 ref 13746 ref 18887 remove appTerm appTerm appTerm 18888 def appTerm 18889 def absTerm 18890 def nil cons cons 18891 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 18889 remove nil cons cons nil cons nil cons cons 155 ref subst 165 ref nil 17671 ref 7647 ref cons nil cons cons 15831 ref subst appThm 18888 ref refl appThm sym 4393 remove 708 ref appTerm 18892 def betaConv 4396 remove nil 4397 remove 400 ref 18892 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 4398 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 77 ref 180 ref 7680 ref appTerm 18893 def 191 ref appTerm appTerm 18894 def nil cons cons 400 ref 41 ref 17453 ref 13921 ref appTerm appTerm 18888 remove appTerm 18895 def nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 1003 ref 3268 remove 42 ref 18893 ref 187 ref 3222 remove 15153 remove 7680 ref appTerm 18896 def 1011 ref appTerm appTerm appTerm 2217 ref 7680 ref appTerm 18897 def 1011 ref appTerm 18898 def appTerm appTerm appTerm 4349 ref 18898 remove appTerm 1011 ref appTerm appTerm appTerm absTerm 18899 def 12928 ref appTerm 18900 def betaConv 15161 remove 7680 ref appTerm 18901 def betaConv 15289 remove nil 15290 remove 400 ref 18901 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 15291 remove 17584 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 18899 ref appTerm nil cons cons 400 ref 18900 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18899 remove nil cons cons 15292 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15294 remove 42 ref 18893 remove 187 ref 13043 ref 18896 remove 12928 ref appTerm 18902 def appTerm appTerm 18897 remove 12928 ref appTerm 18903 def appTerm 18904 def appTerm 18905 def appTerm 4349 ref 18903 ref appTerm 12928 ref appTerm 18906 def appTerm 18907 def appTerm 18908 def nil cons cons 400 ref 41 ref 18894 remove appTerm 18895 remove appTerm 18909 def nil cons 18910 def cons nil cons 18911 def cons nil cons cons 459 ref subst proveHyp 15325 remove nil 15326 remove 400 ref 41 ref 18907 ref appTerm 18909 ref appTerm 18912 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 18907 remove nil cons 18913 def cons 18911 remove cons nil cons cons 18914 def 416 ref subst 18914 remove 467 ref subst nil 435 ref 18905 ref nil cons cons 437 ref 18906 ref nil cons 18915 def cons nil cons cons nil cons cons 18916 def 451 ref subst 18916 remove 515 ref subst 165 ref 620 ref 1131 ref 18905 remove assume 18917 def appThm 1266 remove appThm appThm appThm 165 ref 4701 ref 18917 ref appThm 13921 ref refl 18918 def appThm appThm 439 ref 13812 ref 7837 ref 14040 ref 4544 ref 18917 remove appThm appThm appThm 18919 def appThm appThm 620 ref 13814 ref 18919 remove appThm appThm appThm appThm appThm sym nil 399 ref 18915 remove cons 400 ref 41 ref 77 ref 180 ref 18904 ref appTerm 191 ref appTerm appTerm appTerm 41 ref 698 ref 18904 ref appTerm 13921 ref appTerm appTerm 129 ref 13720 ref 713 ref 12941 ref 2714 ref 18904 remove appTerm appTerm appTerm 18920 def appTerm appTerm 77 ref 13746 ref 18920 remove appTerm appTerm appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 459 ref subst 15336 ref 41 ref 18906 remove appTerm 41 ref 77 ref 180 ref 15339 ref 18903 ref appTerm 18921 def appTerm 191 ref appTerm appTerm appTerm 41 ref 698 ref 18921 ref appTerm 13921 ref appTerm appTerm 129 ref 13720 ref 713 ref 12941 ref 2714 ref 18921 remove appTerm appTerm appTerm 18922 def appTerm appTerm 77 ref 13746 ref 18922 remove appTerm appTerm appTerm appTerm appTerm appTerm 18923 def absTerm 18924 def 18902 ref appTerm 18925 def betaConv nil 160 ref 18924 ref nil cons cons 18926 def nil cons nil cons cons 164 ref subst 15336 remove nil 150 ref 18923 remove nil cons cons nil cons nil cons cons 155 ref subst 15346 ref 15349 remove 15352 remove 41 ref 15353 remove 13921 ref appTerm appTerm 129 ref 15356 remove appTerm 15357 remove appTerm appTerm 18927 def appTerm 18928 def appTerm 18929 def absTerm 18930 def 18903 ref appTerm 18931 def betaConv nil 160 ref 18930 ref nil cons cons 18932 def nil cons nil cons cons 164 ref subst 15346 remove nil 150 ref 18929 remove nil cons cons nil cons nil cons cons 155 ref subst nil 15366 remove 400 ref 18928 remove nil cons 18933 def cons nil cons cons nil cons cons 18934 def 416 ref subst 18934 remove 467 ref subst nil 15370 remove 400 ref 18927 ref nil cons 18935 def cons nil cons 18936 def cons nil cons cons 18937 def 416 ref subst 18937 remove 467 ref subst 620 ref 15415 remove 6617 ref subst 625 ref 15589 remove 15596 remove trans appThm 15437 ref refl appThm trans appThm 15351 remove assume eqMp nil 399 ref 77 ref 42 ref 15593 remove appTerm 18938 def 15437 remove appTerm appTerm 18939 def nil cons 18940 def cons 18936 ref cons nil cons cons 18941 def 459 ref subst proveHyp nil 15439 remove 400 ref 41 ref 18939 remove appTerm 18927 ref appTerm nil cons 18942 def cons nil cons 18943 def cons nil cons cons 18944 def 416 ref subst 18944 remove 467 ref subst 18941 ref 416 ref subst 18941 remove 467 ref subst 15444 remove nil 15447 remove 18936 ref cons nil cons cons 459 ref subst proveHyp 15450 remove 18927 ref refl appThm sym nil 160 ref 15451 ref 15454 remove 18927 ref appTerm 18945 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 15451 remove nil 150 ref 18945 remove nil cons cons nil cons nil cons cons 155 ref subst nil 15457 remove 18936 ref cons nil cons cons 18946 def 416 ref subst 18946 remove 467 ref subst 15459 remove nil 15463 remove 18936 remove cons nil cons cons 18947 def 459 ref subst proveHyp 18947 ref 416 ref subst 18947 remove 467 ref subst 129 ref "_52844" 14 ref var 18948 def 41 ref 698 ref 15339 ref 18948 remove varTerm appTerm 18949 def appTerm 13921 ref appTerm appTerm 129 ref 13720 ref 713 ref 12941 ref 2714 ref 18949 remove appTerm appTerm appTerm 18950 def appTerm appTerm 77 ref 13746 ref 18950 remove appTerm appTerm appTerm appTerm absTerm 18951 def 15347 ref appTerm 18952 def appTerm refl 18951 ref 15460 ref appTerm betaConv appThm 439 ref 18952 remove betaConv appThm 41 ref 698 ref 15469 ref appTerm 13921 ref appTerm 18953 def appTerm 129 ref 15471 remove appTerm 15472 remove appTerm 18954 def appTerm refl appThm trans 18951 remove refl 15473 remove appThm eqMp sym nil 399 ref 18953 ref nil cons 18955 def cons 400 ref 18954 ref nil cons 18956 def cons nil cons 18957 def cons nil cons cons 18958 def 416 ref subst 18958 remove 467 ref subst nil 13603 ref 15417 remove cons nil cons cons 1003 ref 1013 ref 8489 remove appTerm 18959 def absTerm 18960 def 1011 ref appTerm 18961 def betaConv 1006 ref 17 ref 18960 ref appTerm 18962 def absTerm 18963 def 1009 ref appTerm 18964 def betaConv 603 ref 1006 ref 603 ref 1003 ref 18959 remove assume sym 8491 remove assume sym deductAntisym absThm appThm absThm appThm 8498 remove eqMp nil 399 ref 17 ref 18963 ref appTerm nil cons cons 400 ref 18964 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18963 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18962 remove nil cons cons 400 ref 18961 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18960 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp 18965 def subst sym 1006 ref 17 ref 1003 ref 17 ref 1116 ref 129 ref 4349 ref 2865 remove appTerm 2867 remove appTerm appTerm 42 ref 13575 remove appTerm 5993 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 18966 def 12928 ref appTerm 18967 def betaConv nil 17 ref 18966 ref appTerm 18968 def axiom nil 399 ref 18968 remove nil cons cons 400 ref 18967 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18966 remove nil cons cons 15292 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 17 ref 1003 ref 17 ref 1116 ref 129 ref 4349 ref 15378 remove appTerm 15379 remove appTerm appTerm 15757 ref 5993 ref appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons 400 ref 15491 remove 13591 ref appTerm 18969 def nil cons 18970 def cons nil cons 18971 def cons nil cons cons 459 ref subst proveHyp 165 ref 603 ref 1003 ref 603 ref 1116 ref 439 ref 6344 ref 3238 ref 17637 remove appThm 18972 def 1703 ref appThm appThm 18972 remove 15389 remove appThm appThm appThm 625 ref 15324 remove appThm 5993 ref refl appThm nil 150 ref 5993 ref nil cons cons nil cons nil cons cons 633 ref subst trans appThm absThm appThm absThm appThm appThm 18969 remove refl appThm sym nil 399 ref 17 ref 1003 ref 17 ref 1116 ref 129 ref 4349 ref 2195 remove 1285 ref 11919 remove appTerm appTerm 18973 def 1011 ref appTerm appTerm 18973 remove 1117 ref appTerm appTerm 18974 def appTerm 5993 remove appTerm 18975 def absTerm appTerm absTerm appTerm 18976 def nil cons 18977 def cons 18971 remove cons nil cons cons 18978 def 416 ref subst 18978 remove 467 ref subst nil 16796 ref 15402 remove cons nil cons cons 1116 ref 16535 remove 18974 remove appTerm 18979 def absTerm 18980 def 1117 remove appTerm 18981 def betaConv 1003 ref 17 ref 18980 ref appTerm 18982 def absTerm 18983 def 1011 ref appTerm 18984 def betaConv 603 ref 1003 ref 603 ref 1116 ref 18979 remove assume sym 18975 remove assume sym deductAntisym absThm appThm absThm appThm 18976 remove assume eqMp nil 399 ref 17 ref 18983 ref appTerm nil cons cons 400 ref 18984 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18983 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 18982 remove nil cons cons 400 ref 18981 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 18980 remove nil cons cons 1168 remove cons nil cons cons 469 ref subst eqMp eqMp subst sym 6344 ref 3238 remove 15536 remove appThm 18985 def 15597 remove appThm appThm 18985 remove 16760 ref appThm appThm sym 1003 ref 42 ref 4349 ref 15338 remove appTerm 18986 def 1011 ref appTerm appTerm 14544 remove appTerm absTerm 18987 def 15469 ref appTerm betaConv sym 625 ref nil 1003 ref 15460 remove nil cons cons 18988 def 15414 ref cons nil cons cons 14601 ref subst nil 18988 remove nil cons nil cons cons 14605 ref subst trans 620 ref nil 1003 ref 15475 remove cons nil cons nil cons cons 4399 ref subst appThm 1507 ref trans trans appThm nil 150 ref 18955 ref cons nil cons nil cons cons 155 ref subst 18953 remove assume eqMp appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 18987 ref nil cons cons 475 ref 15469 remove nil cons cons nil cons cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 18987 remove appTerm nil cons cons 400 ref 18986 remove 13921 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 14538 ref 15414 remove cons nil cons cons 4602 remove subst eqMp eqMp eqMp eqMp nil 435 ref 18977 remove cons 437 ref 18970 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp 18865 ref 15337 ref appTerm 18989 def betaConv nil 399 ref 18866 remove cons 18990 def 400 ref 18989 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 18868 remove cons 18991 def 15490 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15560 remove cons 18957 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 15510 remove cons nil cons nil cons cons 155 ref subst 15493 remove assume eqMp appThm 15502 remove refl appThm nil 150 ref 15513 remove cons nil cons nil cons cons 614 ref subst trans appThm 18954 remove refl 18992 def appThm sym nil 15514 remove 18957 ref cons nil cons cons 18993 def 416 ref subst 18993 remove 467 ref subst 15517 remove 15519 remove nil 15525 remove 18957 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 15542 remove cons nil cons nil cons cons 155 ref subst 15541 remove eqMp appThm 15523 remove refl appThm nil 150 ref 15545 remove cons nil cons nil cons cons 614 ref subst trans appThm 18992 remove appThm sym nil 15546 remove 18957 remove cons nil cons cons 18994 def 416 ref subst 18994 remove 467 ref subst 15548 remove 15552 remove 15553 remove 439 ref 15478 remove 15554 remove trans appThm 620 ref 15479 remove 15555 remove trans appThm 1535 ref trans appThm 1803 remove trans sym 154 ref eqMp proveHyp proveHyp proveHyp eqMp nil 15556 remove 437 ref 18956 remove cons nil cons 18995 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 15559 remove 18995 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 435 ref 18955 remove cons 18995 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 15561 remove 437 ref 18935 remove cons nil cons 18996 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 15563 remove 18996 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 15564 remove 18927 ref appTerm absTerm appTerm nil cons cons 400 ref 15565 remove 18927 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 15566 remove 18996 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 435 ref 18940 remove cons 18996 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 15568 remove 437 ref 18942 ref cons nil cons 18997 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 15570 remove 18943 remove cons nil cons cons 18998 def 416 ref subst 18998 remove 467 ref subst 129 ref "_52576" 14 ref var 18999 def 41 ref 77 ref 18938 ref 180 ref 18999 remove varTerm 19000 def appTerm 191 ref appTerm appTerm appTerm appTerm 41 ref 698 ref 15339 remove 19000 remove appTerm 19001 def appTerm 13921 ref appTerm appTerm 129 ref 13720 ref 713 ref 12941 ref 2714 ref 19001 remove appTerm appTerm appTerm 19002 def appTerm appTerm 77 ref 13746 ref 19002 remove appTerm appTerm appTerm appTerm appTerm absTerm 19003 def 15347 remove appTerm 19004 def appTerm refl 19003 ref 191 ref appTerm betaConv appThm 439 ref 19004 remove betaConv appThm 41 ref 77 ref 18938 ref 12474 remove appTerm appTerm appTerm 41 ref 698 ref 15577 remove appTerm 13921 ref appTerm appTerm 129 ref 15579 remove appTerm 15580 remove appTerm appTerm appTerm refl appThm trans 19003 remove refl 15581 remove appThm eqMp sym 165 ref 620 ref 18938 remove refl 1282 remove appThm 15595 remove 1105 remove subst trans appThm appThm 165 ref 4701 ref 15582 remove appThm 18918 remove appThm appThm 439 ref 15591 remove appThm 15592 remove appThm appThm appThm sym nil 15602 remove 400 ref 41 ref 15410 remove 13921 ref appTerm appTerm 129 ref 15604 remove appTerm 15605 remove appTerm appTerm 19005 def nil cons 19006 def cons nil cons 19007 def cons nil cons cons 19008 def 416 ref subst 19008 remove 467 ref subst 15611 remove nil 15614 remove 19007 ref cons nil cons cons 459 ref subst proveHyp 15615 remove 19005 ref refl appThm sym nil 160 ref 15616 ref 15619 remove 19005 ref appTerm 19009 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 15616 remove nil 150 ref 19009 remove nil cons cons nil cons nil cons cons 155 ref subst nil 15622 remove 19007 ref cons nil cons cons 19010 def 416 ref subst 19010 remove 467 ref subst 15624 remove nil 15628 remove 19007 remove cons nil cons cons 19011 def 459 ref subst proveHyp 19011 ref 416 ref subst 19011 remove 467 ref subst 129 ref "_52710" 14 ref var 19012 def 41 ref 698 ref 13043 ref 19012 remove varTerm appTerm 19013 def appTerm 13921 ref appTerm appTerm 129 ref 13720 ref 713 ref 12941 ref 2714 ref 19013 remove appTerm appTerm appTerm 19014 def appTerm appTerm 77 ref 13746 ref 19014 remove appTerm appTerm appTerm appTerm absTerm 19015 def 15337 remove appTerm 19016 def appTerm refl 19015 ref 15625 remove appTerm betaConv appThm 439 ref 19016 remove betaConv appThm 41 ref 698 ref 15635 remove appTerm 13921 ref appTerm 19017 def appTerm 129 ref 15637 remove appTerm 15639 remove appTerm 19018 def appTerm refl appThm trans 19015 remove refl 15641 remove appThm eqMp sym nil 399 ref 19017 ref nil cons 19019 def cons 400 ref 19018 ref nil cons 19020 def cons nil cons 19021 def cons nil cons cons 19022 def 416 ref subst 19022 remove 467 ref subst 18865 ref 15617 remove appTerm 19023 def betaConv nil 18990 ref 400 ref 19023 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 18991 ref 15663 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 15708 remove cons 19021 ref cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 150 ref 15690 remove cons nil cons nil cons cons 19024 def 155 ref subst nil 16796 remove 1003 ref 15680 remove cons 14398 remove cons cons nil cons cons 6066 remove subst 15390 remove nil 13603 ref 15643 remove cons nil cons cons 16806 ref subst appThm 19024 remove 1541 ref subst trans trans 19017 remove assume eqMp eqMp appThm 15673 remove refl appThm nil 150 ref 15693 remove cons nil cons nil cons cons 614 ref subst trans appThm 19018 remove refl appThm sym nil 15694 remove 19021 remove cons nil cons cons 19025 def 416 ref subst 19025 remove 467 ref subst 15696 remove 15699 remove 15700 remove 15702 remove 439 ref 15703 remove appThm 15704 remove appThm 1523 remove trans sym 154 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 15705 remove 437 ref 19020 remove cons nil cons 19026 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 435 ref 19019 remove cons 19026 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 15709 remove 437 ref 19006 remove cons nil cons 19027 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 15711 remove 19027 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 15712 remove 19005 ref appTerm absTerm appTerm nil cons cons 400 ref 15713 remove 19005 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 15714 remove 19027 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp nil 15715 remove 19027 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 15449 ref 18997 remove cons nil cons cons 451 ref subst deductAntisym eqMp 15717 remove nil 15449 remove 15718 remove 1553 ref 18942 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 15567 remove 18996 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 15756 remove 437 ref 18933 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 18930 remove appTerm nil cons cons 400 ref 18931 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 18932 remove 475 ref 18903 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp absThm eqMp nil 399 ref 17 ref 18924 remove appTerm nil cons cons 400 ref 18925 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 18926 remove 475 ref 18902 remove nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 435 ref 18913 ref cons 437 ref 18910 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 15757 remove 18912 remove appTerm nil cons cons 400 ref 41 ref 18908 remove appTerm 18909 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 18910 remove cons 400 ref 18913 remove cons 15758 remove cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp nil 160 ref 18880 remove nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 18879 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 18874 ref nil cons 19028 def cons 19029 def 400 ref 18878 remove nil cons 19030 def cons nil cons cons nil cons cons 19031 def 416 ref subst 19031 remove 467 ref subst 129 ref 18877 ref appTerm 19032 def refl nil 1003 ref 13923 ref nil cons 19033 def cons 19034 def 7647 ref cons nil cons cons 19035 def 4431 remove subst 625 ref nil 150 ref 19028 ref cons nil cons nil cons cons 155 ref subst 18874 remove assume eqMp appThm 18877 ref refl appThm nil 150 ref 18877 ref nil cons 19036 def cons nil cons nil cons cons 633 ref subst trans trans appThm nil 611 ref 19036 remove cons nil cons nil cons cons 1420 remove subst trans sym 154 ref eqMp 129 ref "_52980" 2 ref var 19037 def 13774 ref 19037 remove varTerm appTerm absTerm 19038 def 18877 remove appTerm 19039 def appTerm refl 19038 ref 717 ref 13923 ref appTerm 19040 def appTerm betaConv appThm 439 ref 19039 remove betaConv appThm 13774 ref 19040 ref appTerm 19041 def refl 19042 def appThm trans 19038 remove refl 19032 remove 19040 ref appTerm assume appThm eqMp sym nil 19029 remove 400 ref 19041 ref nil cons cons nil cons cons nil cons cons 459 ref subst 165 ref 19035 ref 18965 remove subst 19035 remove 1003 ref 8490 remove 17938 remove 4460 remove appTerm appTerm absTerm 19043 def 1011 ref appTerm 19044 def betaConv 1006 ref 17 ref 19043 ref appTerm 19045 def absTerm 19046 def 1009 ref appTerm 19047 def betaConv nil 17 ref 19046 ref appTerm 19048 def axiom nil 399 ref 19048 remove nil cons cons 400 ref 19047 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 19046 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 19045 remove nil cons cons 400 ref 19044 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 19043 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst trans appThm 19042 remove appThm sym nil 399 ref 77 ref 19040 ref appTerm nil cons 19049 def cons 19050 def 400 ref 41 ref 1486 ref 19040 ref appTerm 7658 remove 13923 ref appTerm 19051 def appTerm appTerm 19041 remove appTerm nil cons 19052 def cons nil cons 19053 def cons nil cons cons 19054 def 416 ref subst 19054 remove 467 ref subst 165 ref 1508 ref nil 19050 remove 400 ref 129 ref 19040 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 19040 ref nil cons 19055 def cons 19056 def nil cons nil cons cons 1932 ref subst eqMp 19057 def appThm 19051 ref refl appThm nil 150 ref 19051 ref nil cons 19058 def cons nil cons nil cons cons 1541 ref subst trans appThm 13774 remove refl 19057 remove appThm nil 150 ref 13773 remove nil cons cons nil cons nil cons cons 4418 ref subst nil 1811 ref 13772 remove nil cons cons 1812 ref 13758 remove nil cons cons nil cons cons nil cons cons 4445 ref subst 1508 ref nil 150 ref 13757 ref nil cons 19059 def cons nil cons nil cons cons 1416 ref subst appThm nil 150 ref 13771 ref nil cons 19060 def cons nil cons nil cons cons 1416 ref subst appThm trans trans trans appThm sym nil 399 ref 19058 ref cons 400 ref 1486 ref 13757 remove appTerm 13771 remove appTerm 19061 def nil cons 19062 def cons nil cons 19063 def cons nil cons cons 19064 def 416 ref subst 19064 remove 467 ref subst nil 399 ref 77 ref 12934 ref appTerm 19065 def nil cons 19066 def cons 19063 ref cons nil cons cons 19067 def 416 ref subst 19067 remove 467 ref subst 16616 remove 4456 ref subst 13636 remove 4469 remove subst trans 19065 remove assume eqMp nil 399 ref 167 ref 1014 remove 717 ref 12941 ref 4462 remove appTerm appTerm absTerm 19068 def appTerm 19069 def nil cons cons 19063 ref cons nil cons cons 459 ref subst proveHyp nil 160 ref 16055 ref 41 ref 19068 ref 16056 remove appTerm 19070 def appTerm 19061 ref appTerm 19071 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 16055 remove nil 150 ref 19071 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 19070 ref nil cons 19072 def cons 19063 ref cons nil cons cons 19073 def 416 ref subst 19073 remove 467 ref subst 19070 ref betaConv 19070 remove assume eqMp nil 399 ref 717 ref 12941 ref 18481 ref appTerm 19074 def appTerm 19075 def nil cons 19076 def cons 19063 ref cons nil cons cons 19077 def 459 ref subst proveHyp 19077 ref 416 ref subst 19077 remove 467 ref subst 129 ref "_53272" 14 ref var 19078 def 1486 ref 13720 ref 713 ref 187 ref 19078 remove varTerm appTerm 192 ref appTerm appTerm 19079 def appTerm appTerm 13746 ref 19079 remove appTerm appTerm absTerm 19080 def 708 ref appTerm 19081 def appTerm refl 19080 ref 19074 ref appTerm betaConv appThm 439 ref 19081 remove betaConv appThm 1486 ref 13720 ref 713 ref 187 ref 19074 ref appTerm 192 ref appTerm appTerm 19082 def appTerm appTerm 13746 ref 19082 remove appTerm appTerm 19083 def refl appThm trans 19080 remove refl 19075 remove assume 19084 def appThm eqMp sym 129 ref "_53406" 14 ref var 19085 def 4349 ref 19085 remove varTerm appTerm 13923 ref appTerm absTerm 19086 def 708 ref appTerm 19087 def appTerm refl 19086 ref 19074 ref appTerm betaConv appThm 439 ref 19087 remove betaConv appThm 4349 ref 19074 remove appTerm 13923 ref appTerm 19088 def refl appThm trans 19086 remove refl 19084 remove appThm eqMp 19051 remove assume eqMp nil 399 ref 19088 remove nil cons cons 400 ref 19083 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref nil 14533 ref 18600 remove 13635 ref cons 19089 def cons nil cons cons 16458 ref subst 6344 ref 18504 remove 12782 ref subst 19090 def appThm 4544 ref 14394 ref 13612 remove 12782 remove subst appThm 19091 def appThm appThm nil 1116 ref 13043 ref 2714 ref 13586 ref appTerm appTerm 19092 def nil cons cons 16291 remove 4159 ref cons 19093 def cons nil cons cons 16458 remove subst trans trans appThm 1508 ref 13812 ref 7837 ref nil 2073 ref 19089 remove cons nil cons cons 1169 ref subst 14040 ref 1368 ref 19090 remove appThm 2100 ref appThm nil 2073 ref 19093 remove cons nil cons cons 1169 ref subst trans appThm trans appThm 19094 def appThm appThm 13814 ref 19094 remove appThm appThm appThm sym nil 399 ref 18587 ref 19092 remove appTerm 19095 def nil cons 19096 def cons 400 ref 1486 ref 13720 ref 713 ref 12941 ref 2714 ref 16814 remove appTerm appTerm appTerm 19097 def appTerm 19098 def appTerm 13746 ref 19097 remove appTerm 19099 def appTerm nil cons 19100 def cons nil cons 19101 def cons nil cons cons 19102 def 416 ref subst 19102 remove 467 ref subst 439 ref 13812 ref 7837 ref 14040 ref 4544 ref 18551 remove appThm appThm appThm 19103 def appThm appThm 620 ref 13814 ref 19103 remove appThm appThm appThm sym 18587 ref refl 19091 remove appThm nil 150 ref 19096 ref cons nil cons nil cons cons 155 ref subst 19095 remove assume eqMp trans sym 154 ref eqMp nil 399 ref 18587 remove 13921 ref appTerm nil cons cons 400 ref 129 ref 13720 ref 713 ref 12941 ref 2714 ref 18481 remove appTerm appTerm appTerm 19104 def appTerm appTerm 77 ref 13746 ref 19104 remove appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 707 ref 16140 remove cons nil cons nil cons cons 18890 ref 708 ref appTerm 19105 def betaConv nil 399 ref 17 ref 18890 remove appTerm nil cons cons 400 ref 19105 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 18891 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp 19106 def subst eqMp eqMp nil 399 ref 129 ref 19098 ref appTerm 77 ref 19099 ref appTerm appTerm nil cons cons 19101 remove cons nil cons cons 459 ref subst proveHyp nil 7590 ref 19099 remove nil cons cons 611 ref 19098 remove nil cons cons nil cons cons nil cons cons nil 9159 ref 400 ref 41 ref 9156 remove 77 ref 7591 ref appTerm 19107 def appTerm appTerm 19108 def 1486 ref 9155 ref appTerm 7591 ref appTerm 19109 def appTerm nil cons 19110 def cons nil cons 19111 def cons nil cons cons 19112 def 416 ref subst 19112 remove 467 ref subst 129 ref "_48380" 2 ref var 19113 def 41 ref 129 ref 19113 remove varTerm 19114 def appTerm 19107 ref appTerm appTerm 1486 ref 19114 remove appTerm 7591 ref appTerm appTerm absTerm 19115 def 9155 ref appTerm 19116 def appTerm refl 19117 def 19115 ref 1407 ref appTerm betaConv appThm 439 ref 19116 remove betaConv appThm 19118 def 41 ref 1798 remove 19107 ref appTerm appTerm 19119 def 1537 ref 7591 ref appTerm 19120 def appTerm refl appThm trans 19115 remove refl 19121 def 9176 ref appThm eqMp sym 165 ref nil 150 ref 19107 ref nil cons cons nil cons nil cons cons 19122 def 1802 remove subst 9179 ref 1416 ref subst trans appThm 19123 def 9179 ref 1541 ref subst 19124 def appThm 9195 remove trans sym 154 ref eqMp eqMp eqMp nil 9181 ref 437 ref 19110 ref cons nil cons 19125 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 9185 ref 19111 remove cons nil cons cons 19126 def 416 ref subst 19126 remove 467 ref subst 19117 remove "_48378" 2 ref var 19127 def 41 ref 129 ref 19127 remove varTerm 19128 def appTerm 19107 ref appTerm appTerm 1486 ref 19128 remove appTerm 7591 ref appTerm appTerm absTerm 140 ref appTerm betaConv appThm 19118 remove 41 ref 1518 remove 19107 ref appTerm appTerm 19129 def 1513 remove 7591 ref appTerm 19130 def appTerm refl appThm trans 19121 remove 9191 ref appThm eqMp sym 165 ref 19122 ref 1522 remove subst appThm 19131 def 9179 ref 1517 ref subst 19132 def appThm 19122 ref 1767 ref subst trans sym 154 ref eqMp eqMp eqMp nil 9196 ref 19125 remove cons nil cons cons 451 ref subst deductAntisym eqMp 9198 ref nil 9196 ref 9199 ref 1553 ref 19110 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp nil 435 ref 19096 remove cons 437 ref 19100 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 19076 remove cons 437 ref 19062 ref cons nil cons 19133 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 19072 remove cons 19133 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 41 ref 19068 ref 689 remove appTerm appTerm 19061 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 19069 remove appTerm 19061 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 19068 remove nil cons cons 19133 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 19066 ref cons 19133 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 13809 remove 19063 ref cons nil cons cons 19134 def 416 ref subst 19134 remove 467 ref subst 13811 remove 459 ref subst 14193 remove eqMp nil 399 ref 13810 remove cons 19063 remove cons nil cons cons 459 ref subst proveHyp nil 7590 ref 19060 remove cons 611 ref 19059 remove cons nil cons cons nil cons cons nil 9159 ref 400 ref 18809 remove 19109 remove appTerm nil cons 19135 def cons nil cons 19136 def cons nil cons cons 19137 def 416 ref subst 19137 remove 467 ref subst 129 ref "_48384" 2 ref var 19138 def 41 ref 42 ref 19138 remove varTerm 19139 def appTerm 7591 ref appTerm appTerm 1486 ref 19139 remove appTerm 7591 ref appTerm appTerm absTerm 19140 def 9155 ref appTerm 19141 def appTerm refl 19142 def 19140 ref 1407 ref appTerm betaConv appThm 439 ref 19141 remove betaConv appThm 19143 def 18820 remove 19120 remove appTerm refl appThm trans 19140 remove refl 19144 def 9176 ref appThm eqMp sym 18822 remove 19124 remove appThm 9179 ref 1865 remove subst trans sym 154 ref eqMp eqMp eqMp nil 9181 ref 437 ref 19135 ref cons nil cons 19145 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 9185 ref 19136 remove cons nil cons cons 19146 def 416 ref subst 19146 remove 467 ref subst 19142 remove "_48382" 2 ref var 19147 def 41 ref 42 ref 19147 remove varTerm 19148 def appTerm 7591 ref appTerm appTerm 1486 ref 19148 remove appTerm 7591 remove appTerm appTerm absTerm 140 ref appTerm betaConv appThm 19143 remove 18829 remove 19130 remove appTerm refl appThm trans 19144 remove 9191 ref appThm eqMp sym 18830 remove 19132 remove appThm 9179 remove 1767 remove subst 19149 def trans sym 154 ref eqMp eqMp eqMp nil 9196 ref 19145 remove cons nil cons cons 451 ref subst deductAntisym eqMp 9198 ref nil 9196 ref 9199 ref 1553 ref 19135 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp nil 13950 ref 19133 ref cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 12934 remove appTerm 19150 def betaConv 1970 ref nil 1971 ref 400 ref 19150 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 13808 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 13950 remove 437 ref 19066 remove cons 1553 ref 19062 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp nil 435 ref 19058 remove cons 19133 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 19049 ref cons 437 ref 19052 ref cons nil cons 19151 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 19055 ref cons 19053 remove cons nil cons cons 19152 def 416 ref subst 19152 remove 467 ref subst 129 ref "_52982" 14 ref var 19153 def 41 ref 1486 ref 180 ref 19153 remove varTerm 19154 def appTerm 13923 ref appTerm 19155 def appTerm 4349 ref 19154 ref appTerm 13923 ref appTerm appTerm appTerm 129 ref 42 ref 77 ref 13720 ref 713 ref 187 ref 19154 remove appTerm 192 ref appTerm appTerm 19156 def appTerm appTerm appTerm 77 ref 13746 ref 19156 remove appTerm appTerm appTerm appTerm 19155 remove appTerm appTerm absTerm 19157 def 708 ref appTerm 19158 def appTerm refl 19157 ref 13923 ref appTerm betaConv appThm 439 ref 19158 remove betaConv appThm 41 ref 1486 ref 13927 remove 13923 ref appTerm 19159 def appTerm 4349 ref 13923 ref appTerm 13923 ref appTerm appTerm appTerm 129 ref 42 ref 77 ref 13720 ref 18884 ref appTerm appTerm appTerm 77 ref 13746 ref 18884 remove appTerm appTerm appTerm appTerm 19159 remove appTerm appTerm refl appThm trans 19157 remove refl 19040 ref assume appThm eqMp sym 165 ref 1508 ref nil 475 ref 19033 ref cons nil cons 19160 def nil cons cons 1281 ref subst 19161 def appThm 6344 remove nil 14538 ref 14041 ref cons nil cons cons 2078 ref subst 17618 remove 16761 ref appThm trans 19162 def appThm 19162 remove appThm appThm nil 150 ref 4349 ref 15773 remove 16762 ref appTerm 19163 def appTerm 19163 remove appTerm nil cons cons nil cons nil cons cons 1517 ref subst trans appThm 439 ref 625 ref 620 ref 13812 ref nil 2073 ref 19034 ref 7786 ref cons 19164 def cons nil cons cons 2078 ref subst 1368 ref nil 14533 remove 14427 ref cons nil cons cons 2078 ref subst nil 14538 remove 14429 ref cons nil cons cons 2078 ref subst trans 14439 remove 16761 ref appThm trans appThm 2100 ref appThm trans 19165 def appThm appThm appThm 620 ref 13814 ref 19165 remove appThm appThm appThm appThm 19161 remove appThm nil 150 ref 42 ref 77 ref 13720 ref 187 ref 14435 remove 16762 ref appTerm 19166 def appTerm 192 ref appTerm 19167 def appTerm appTerm appTerm 77 ref 13746 ref 19167 remove appTerm appTerm 19168 def appTerm 19169 def nil cons 19170 def cons nil cons nil cons cons 19171 def 11320 ref subst trans appThm 19171 remove 614 ref subst trans sym 13821 ref nil 13824 ref 400 ref 19170 ref cons nil cons 19172 def cons nil cons cons 459 ref subst proveHyp 13830 ref 19169 remove refl appThm sym nil 13833 ref 19172 remove cons nil cons cons 19173 def 416 ref subst 19173 remove 467 ref subst 625 ref 620 ref nil 38 ref 19166 ref nil cons cons nil cons nil cons cons 19174 def 13837 ref subst appThm appThm 19168 ref refl appThm sym 13844 ref nil 13847 ref 400 ref 42 ref 77 ref 13815 ref 19166 ref appTerm appTerm appTerm 19175 def 19168 remove appTerm 19176 def nil cons 19177 def cons nil cons 19178 def cons nil cons cons 459 ref subst proveHyp 13852 ref 19176 remove refl appThm sym nil 13855 ref 19178 remove cons nil cons cons 19179 def 416 ref subst 19179 remove 467 ref subst 19175 ref refl 620 ref 19174 ref 13858 ref subst appThm appThm sym 13872 ref nil 13874 ref 400 ref 19175 remove 77 ref 13838 ref 19166 ref appTerm appTerm 19180 def appTerm 19181 def nil cons 19182 def cons nil cons 19183 def cons nil cons cons 459 ref subst proveHyp 13879 ref 19181 remove refl appThm sym nil 13882 ref 19183 remove cons nil cons cons 19184 def 416 ref subst 19184 remove 467 ref subst 625 ref 620 ref 19174 ref 13885 ref subst appThm appThm 19180 ref refl appThm sym 13893 ref nil 13895 ref 400 ref 42 ref 77 ref 1486 ref 46 ref 19166 ref appTerm appTerm 19185 def 13860 ref 19166 ref appTerm appTerm appTerm appTerm 19186 def 19180 remove appTerm 19187 def nil cons 19188 def cons nil cons 19189 def cons nil cons cons 459 ref subst proveHyp 13902 ref 19187 remove refl appThm sym nil 13905 ref 19189 remove cons nil cons cons 19190 def 416 ref subst 19190 remove 467 ref subst 19186 ref refl 620 ref 19174 remove 13908 ref subst appThm appThm sym 707 ref 18875 remove 12935 ref appTerm absTerm 19191 def 13923 ref appTerm 19192 def betaConv 129 ref "_52564" 14 ref var 19193 def 17 ref 707 ref 41 ref 709 ref 19193 remove varTerm appTerm appTerm 12935 ref appTerm absTerm appTerm absTerm 19194 def 1017 ref appTerm 19195 def appTerm refl 19194 ref 13923 ref appTerm betaConv appThm 439 ref 19195 remove betaConv appThm 17 ref 19191 ref appTerm 19196 def refl appThm trans 19194 remove refl 13928 ref appThm eqMp 13796 remove assume eqMp nil 399 ref 19196 remove nil cons cons 400 ref 19192 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 19191 remove nil cons cons 19160 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 18876 ref 13923 ref appTerm appTerm 129 ref 46 ref 713 ref 13923 ref appTerm 19197 def appTerm 19198 def appTerm 19199 def 18876 remove 12917 ref appTerm 19200 def appTerm 19201 def appTerm nil cons cons 400 ref 19186 remove 77 ref 19185 remove 13886 ref 19166 remove appTerm appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 19034 remove nil cons nil cons cons 4700 ref subst appThm 19201 ref refl appThm nil 150 ref 19201 remove nil cons cons nil cons nil cons cons 614 ref subst trans appThm 625 ref 620 ref 1508 ref 14493 ref nil 16771 remove 14429 remove cons nil cons cons 1169 ref subst nil 16769 remove 14427 remove cons nil cons cons 1169 ref subst trans 7837 ref 14040 ref 4544 ref 16773 remove appThm appThm appThm trans 19202 def appThm appThm 19203 def 14509 ref 19202 ref appThm appThm appThm appThm 620 ref 19203 remove 14510 ref 19202 remove appThm appThm appThm appThm appThm sym nil 150 ref 19200 ref nil cons cons nil cons nil cons cons 4418 remove subst nil 13638 ref 1006 ref 19033 remove cons nil cons 19204 def cons nil cons cons 4456 remove subst 13933 remove 14601 remove subst nil 13931 remove nil cons nil cons cons 14605 remove subst trans trans trans 620 ref nil 17671 ref 4159 ref cons 19205 def nil cons cons 6617 ref subst 14608 remove 180 ref 13921 ref appTerm 191 ref appTerm 19206 def refl appThm nil 150 ref 19206 ref nil cons cons nil cons nil cons cons 19207 def 1506 ref subst trans trans appThm 1507 ref trans trans sym 154 ref eqMp 129 ref "_53116" 2 ref var 19208 def 41 ref 19199 ref 19208 remove varTerm appTerm appTerm 42 ref 77 ref 1486 ref 19198 ref appTerm 19209 def 13860 ref 19197 ref appTerm 19210 def appTerm appTerm appTerm 77 ref 19209 remove 13886 ref 19197 ref appTerm 19211 def appTerm appTerm appTerm 19212 def appTerm absTerm 19213 def 19200 ref appTerm 19214 def appTerm refl 19213 ref 1407 ref appTerm betaConv appThm 439 ref 19214 remove betaConv appThm 41 ref 19199 remove 1407 ref appTerm 19215 def appTerm 19212 ref appTerm refl appThm trans 19213 remove refl 129 ref 19200 remove appTerm 1407 ref appTerm assume appThm eqMp sym nil 399 ref 19215 ref nil cons 19216 def cons 400 ref 19212 remove nil cons 19217 def cons nil cons cons nil cons cons 19218 def 416 ref subst 19218 remove 467 ref subst 129 ref "_53118" 2 ref var 19219 def 42 ref 77 ref 1486 ref 19219 remove varTerm appTerm 19220 def 19210 ref appTerm appTerm appTerm 77 ref 19220 remove 19211 ref appTerm appTerm appTerm absTerm 19221 def 19198 remove appTerm 19222 def appTerm refl 19221 ref 1407 ref appTerm betaConv appThm 439 ref 19222 remove betaConv appThm 42 ref 77 ref 1537 ref 19210 ref appTerm appTerm appTerm 77 ref 1537 ref 19211 ref appTerm appTerm appTerm refl appThm trans 19221 remove refl 19215 remove assume appThm eqMp sym 625 ref 620 ref nil 150 ref 19210 ref nil cons cons nil cons nil cons cons 1541 ref subst appThm appThm 620 ref nil 150 ref 19211 ref nil cons cons nil cons nil cons cons 1541 ref subst appThm appThm sym 14634 ref nil 14636 ref 400 ref 42 ref 77 ref 19210 remove appTerm appTerm 77 ref 19211 remove appTerm 19223 def appTerm 19224 def nil cons 19225 def cons nil cons 19226 def cons nil cons cons 459 ref subst proveHyp 14640 ref 19224 remove refl appThm sym nil 14643 ref 19226 remove cons nil cons cons 19227 def 416 ref subst 19227 remove 467 ref subst 625 ref 620 ref nil 38 ref 19197 ref nil cons 19228 def cons nil cons nil cons cons 19229 def 14647 ref subst appThm appThm 19223 ref refl 19230 def appThm sym 14656 ref nil 14658 ref 400 ref 42 ref 77 ref 42 ref 14621 ref 19197 ref appTerm appTerm 19231 def 14624 ref 19197 ref appTerm appTerm appTerm appTerm 19223 ref appTerm 19232 def nil cons 19233 def cons nil cons 19234 def cons nil cons cons 459 ref subst proveHyp 14663 ref 19232 remove refl appThm sym nil 14666 ref 19234 remove cons nil cons cons 19235 def 416 ref subst 19235 remove 467 ref subst 625 ref 620 ref 19231 ref refl 19229 ref 14669 ref subst appThm appThm appThm 19230 remove appThm sym 14688 ref nil 14690 ref 400 ref 42 ref 77 ref 19231 remove 42 ref 13746 ref 19197 ref appTerm 19236 def appTerm 585 ref 19197 ref appTerm 19237 def appTerm 19238 def appTerm appTerm appTerm 19239 def 19223 remove appTerm 19240 def nil cons 19241 def cons nil cons 19242 def cons nil cons cons 459 ref subst proveHyp 14698 ref 19240 remove refl appThm sym nil 14701 ref 19242 remove cons nil cons cons 19243 def 416 ref subst 19243 remove 467 ref subst 19239 ref refl 19244 def 620 ref 19229 ref 14705 ref subst appThm appThm sym 14716 ref nil 14718 ref 400 ref 19239 ref 77 ref 4371 ref 19236 ref appTerm 14671 ref 19197 ref appTerm 19245 def appTerm 19246 def 14674 ref 19197 ref appTerm appTerm appTerm appTerm 19247 def nil cons 19248 def cons nil cons 19249 def cons nil cons cons 459 ref subst proveHyp 14724 ref 19247 remove refl appThm sym nil 14727 ref 19249 remove cons nil cons cons 19250 def 416 ref subst 19250 remove 467 ref subst 19244 remove 620 ref 19246 ref refl 19251 def 19229 ref 14730 ref subst appThm appThm appThm sym 14740 remove nil 14742 remove 400 ref 19239 remove 77 ref 19246 ref 42 ref 13720 ref 19197 ref appTerm 19252 def appTerm 19253 def 14707 ref 19197 ref appTerm appTerm appTerm appTerm 19254 def appTerm 19255 def nil cons 19256 def cons nil cons 19257 def cons nil cons cons 459 ref subst proveHyp 14750 remove 19255 remove refl appThm sym nil 14753 remove 19257 remove cons nil cons cons 19258 def 416 ref subst 19258 remove 467 ref subst 625 ref 620 ref 625 ref 19229 ref 14756 remove subst appThm 19238 ref refl appThm appThm appThm 19254 ref refl appThm sym 14780 remove nil 14782 remove 400 ref 42 ref 77 ref 42 ref 77 ref 19252 ref appTerm appTerm 19238 remove appTerm appTerm appTerm 19259 def 19254 remove appTerm 19260 def nil cons 19261 def cons nil cons 19262 def cons nil cons cons 459 ref subst proveHyp 14787 remove 19260 remove refl appThm sym nil 14790 remove 19262 remove cons nil cons cons 19263 def 416 ref subst 19263 remove 467 ref subst 19259 ref refl 620 ref 19251 remove 19253 ref refl 19229 remove 14793 remove subst appThm appThm appThm appThm sym 18865 remove 13586 ref appTerm 19264 def betaConv nil 18990 remove 400 ref 19264 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 18991 remove 13996 remove cons nil cons cons 469 ref subst eqMp eqMp 19265 def nil 399 ref 41 ref 13955 ref 13586 ref appTerm 19266 def appTerm 42 ref 17 ref 707 ref 14209 remove 42 ref 42 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 14547 remove 7329 remove appTerm appTerm appTerm appTerm 19267 def appTerm appTerm appTerm 13746 ref 19267 ref appTerm appTerm appTerm 129 ref 585 ref 19267 remove appTerm appTerm 14211 remove appTerm appTerm appTerm absTerm appTerm 19268 def appTerm 19269 def 19253 ref 42 ref 77 ref 19236 ref appTerm 19270 def appTerm 42 ref 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 187 ref 19197 ref appTerm 13137 ref appTerm appTerm 192 ref appTerm 19271 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 19271 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13599 remove appTerm 19272 def appTerm 180 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 14216 ref 13921 ref appTerm 19273 def appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm 19274 def appTerm 13586 ref appTerm 19275 def appTerm 19276 def appTerm 19277 def appTerm 19278 def appTerm 19279 def appTerm 19280 def nil cons cons 19281 def 400 ref 19259 remove 77 ref 19246 remove 19253 remove 77 ref 13954 ref 19197 remove appTerm 19282 def appTerm 19283 def appTerm appTerm appTerm appTerm 19284 def nil cons 19285 def cons nil cons 19286 def cons nil cons cons 459 ref subst proveHyp nil 13603 ref nil cons nil cons cons 19287 def 4699 remove subst 19288 def nil 399 ref 19266 ref nil cons cons 19289 def 400 ref 41 ref 19279 ref appTerm 19284 ref appTerm 19290 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 19279 remove nil cons 19291 def cons 19286 remove cons nil cons cons 19292 def 416 ref subst 19292 remove 467 ref subst nil 435 ref 19268 remove nil cons cons 19293 def 437 ref 19278 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 19252 ref nil cons 19294 def cons 437 ref 19277 remove nil cons cons nil cons cons nil cons cons 19295 def 451 ref subst 19295 remove 515 ref subst nil 435 ref 19270 remove nil cons 19296 def cons 437 ref 19276 remove nil cons cons nil cons cons nil cons cons 19297 def 451 ref subst 19297 remove 515 ref subst nil 435 ref 19272 remove nil cons cons 437 ref 19275 ref nil cons cons nil cons cons nil cons cons 515 ref subst 625 ref 620 ref 625 ref 620 ref nil 150 ref 19294 remove cons nil cons nil cons cons 155 ref subst 19252 remove assume eqMp 19298 def appThm 1535 remove trans appThm 625 ref nil 399 ref 19296 remove cons 400 ref 129 ref 19236 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 19236 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp 19299 def appThm 19237 ref refl appThm nil 150 ref 19237 remove nil cons cons nil cons nil cons cons 1506 ref subst trans appThm 4008 remove trans appThm 1507 ref trans appThm 620 ref 4386 ref 19299 remove appThm 19245 ref refl appThm 625 ref 19298 remove appThm 19283 ref refl appThm nil 150 ref 19283 remove nil cons 19300 def cons nil cons nil cons cons 633 ref subst trans appThm nil 1811 ref 19300 remove cons 1812 ref 19245 remove nil cons cons nil cons cons nil cons cons 4530 ref subst trans appThm nil 150 ref 19282 ref nil cons 19301 def cons nil cons nil cons cons 19302 def 1416 remove subst trans appThm 19302 remove 633 remove subst trans sym 15083 remove 15084 remove nil 15088 remove 400 ref 19301 ref cons nil cons 19303 def cons nil cons cons 459 ref subst proveHyp nil 160 ref 15090 ref 15093 remove 19282 ref appTerm 19304 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 15090 remove nil 150 ref 19304 remove nil cons cons nil cons nil cons cons 155 ref subst nil 15096 remove 19303 ref cons nil cons cons 19305 def 416 ref subst 19305 remove 467 ref subst 15098 remove nil 15102 remove 19303 ref cons nil cons cons 19306 def 459 ref subst proveHyp 19306 ref 416 ref subst 19306 remove 467 ref subst 14201 remove 15104 remove 15105 ref 13586 ref appTerm 19307 def appTerm 19308 def appTerm 19309 def betaConv nil 14203 remove 400 ref 19309 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 15109 remove 475 ref 19308 ref nil cons 19310 def cons nil cons 19311 def cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 17 ref 707 ref 41 ref 14135 remove 709 ref 19308 ref appTerm 19312 def appTerm 19313 def appTerm 14138 ref appTerm 19314 def absTerm 19315 def appTerm 19316 def appTerm 129 ref 13954 ref 14001 remove 19308 ref appTerm appTerm appTerm 13955 ref 13959 ref 13962 ref 13963 ref 167 ref 707 ref 13966 ref 13969 ref 42 ref 13971 remove 19308 ref appTerm 19317 def appTerm 14032 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 19318 def appTerm 19319 def appTerm 19320 def nil cons cons 19303 remove cons nil cons cons 459 ref subst proveHyp nil 160 ref 19315 remove nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 19314 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 19313 remove nil cons 19321 def cons 14150 ref cons nil cons cons 19322 def 416 ref subst 19322 remove 467 ref subst nil 14153 remove 437 ref 19312 ref nil cons cons nil cons cons nil cons cons 19323 def 451 ref subst 19323 remove 515 ref subst 14799 remove nil 14802 remove 14150 ref cons nil cons cons 459 ref subst proveHyp 14803 remove 14167 remove appThm sym nil 160 ref 14804 ref 14807 remove 14138 ref appTerm 19324 def absTerm nil cons cons nil cons nil cons cons 164 ref subst 14804 remove nil 150 ref 19324 remove nil cons cons nil cons nil cons cons 155 ref subst nil 14810 remove 14150 ref cons nil cons cons 19325 def 416 ref subst 19325 remove 467 ref subst 14812 remove nil 14816 remove 14150 remove cons nil cons cons 19326 def 459 ref subst proveHyp 19326 ref 416 ref subst 19326 remove 467 ref subst 129 ref "_53122" 14 ref var 19327 def 1486 ref 77 ref 13720 ref 713 ref 12941 ref 2714 ref 19327 remove varTerm appTerm appTerm appTerm 19328 def appTerm appTerm appTerm 77 ref 13746 ref 19328 remove appTerm appTerm appTerm absTerm 19329 def 708 ref appTerm 19330 def appTerm refl 19329 ref 14813 ref appTerm betaConv appThm 439 ref 19330 remove betaConv appThm 1486 ref 18709 remove appTerm 77 ref 13746 ref 18707 remove appTerm 19331 def appTerm 19332 def appTerm 19333 def refl appThm trans 19329 remove refl 14835 ref appThm eqMp sym nil 17671 remove 14883 remove cons nil cons cons 15831 remove subst 17414 ref refl 14562 remove 15131 ref subst appThm trans sym 1003 ref 17415 remove 4352 ref 187 ref 12928 remove appTerm 14546 remove appTerm 19334 def appTerm appTerm absTerm 19335 def 19308 ref appTerm betaConv sym 625 ref nil 150 ref 17414 ref 19308 ref appTerm 19336 def nil cons cons nil cons nil cons cons 155 ref subst 129 ref "_53264" 14 ref var 19337 def 698 ref 19337 remove varTerm appTerm 19308 ref appTerm absTerm 19338 def 708 ref appTerm 19339 def appTerm refl 19338 ref 14813 remove appTerm betaConv appThm 439 ref 19339 remove betaConv appThm 19336 remove refl appThm trans 19338 remove refl 14835 remove appThm eqMp 19312 remove assume eqMp eqMp appThm 698 ref 19308 ref appTerm refl 15134 remove 15135 ref 13586 ref refl 19340 def appThm appThm appThm nil 15138 remove 1006 ref 19307 ref nil cons 19341 def cons 15142 remove cons cons nil cons cons 4718 remove subst 15143 remove trans trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 19335 ref nil cons cons 19311 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 ref 19335 remove appTerm nil cons cons 400 ref 17414 remove 19334 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 19334 remove nil cons cons 17422 remove cons nil cons cons 4776 ref subst eqMp eqMp nil 399 ref 14848 remove 13921 ref appTerm nil cons cons 400 ref 129 ref 18708 ref appTerm 19332 remove appTerm nil cons 19342 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 707 ref 14846 remove cons nil cons nil cons cons 19106 remove subst eqMp nil 399 ref 19342 remove cons 400 ref 19333 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 7590 remove 19331 remove nil cons cons 611 ref 18708 remove nil cons cons nil cons cons nil cons cons nil 9159 remove 400 ref 19108 remove 1486 ref 77 ref 9155 ref appTerm appTerm 19107 ref appTerm appTerm nil cons 19343 def cons nil cons 19344 def cons nil cons cons 19345 def 416 ref subst 19345 remove 467 ref subst 129 ref "_48388" 2 ref var 19346 def 41 ref 129 ref 19346 remove varTerm 19347 def appTerm 19107 ref appTerm appTerm 1486 ref 77 ref 19347 remove appTerm appTerm 19107 ref appTerm appTerm absTerm 19348 def 9155 remove appTerm 19349 def appTerm refl 19350 def 19348 ref 1407 ref appTerm betaConv appThm 439 ref 19349 remove betaConv appThm 19351 def 19119 remove 1500 remove 19107 ref appTerm appTerm refl appThm trans 19348 remove refl 19352 def 9176 remove appThm eqMp sym 19123 remove 1509 remove 19107 ref refl 19353 def appThm 19122 ref 1517 remove subst trans appThm 19149 remove trans sym 154 ref eqMp eqMp eqMp nil 9181 remove 437 ref 19343 ref cons nil cons 19354 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 9185 remove 19344 remove cons nil cons cons 19355 def 416 ref subst 19355 remove 467 ref subst 19350 remove "_48386" 2 ref var 19356 def 41 ref 129 ref 19356 remove varTerm 19357 def appTerm 19107 ref appTerm appTerm 1486 ref 77 ref 19357 remove appTerm appTerm 19107 ref appTerm appTerm absTerm 140 remove appTerm betaConv appThm 19351 remove 19129 remove 1533 remove 19107 remove appTerm appTerm refl appThm trans 19352 remove 9191 remove appThm eqMp sym 19131 remove 1536 remove 19353 remove appThm 19122 ref 1541 ref subst trans appThm 19122 remove 6664 remove subst trans sym 154 ref eqMp eqMp eqMp nil 9196 ref 19354 remove cons nil cons cons 451 ref subst deductAntisym eqMp 9198 remove nil 9196 remove 9199 remove 1553 ref 19343 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp eqMp nil 14993 remove 14168 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 14995 remove 14168 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 14996 remove 14138 ref appTerm absTerm appTerm nil cons cons 400 ref 14997 remove 14138 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 14998 remove 14168 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 435 ref 19321 remove cons 14168 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 19316 ref nil cons cons 19358 def 400 ref 41 ref 19319 ref appTerm 19282 ref appTerm 19359 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 165 ref 439 ref 14948 ref nil 1116 ref 19310 ref cons 19360 def 14036 remove cons nil cons cons 1169 ref subst 7837 ref nil 19360 ref 14039 remove cons nil cons cons 1169 ref subst 14040 ref nil 19360 ref 14041 remove cons nil cons cons 19361 def 1169 ref subst appThm trans appThm trans appThm appThm 19318 ref refl appThm appThm 14948 remove 7837 ref 14040 ref 4544 ref 15135 remove 16760 ref appThm appThm appThm appThm appThm appThm sym 1131 ref 4544 ref nil 13603 remove 15764 remove cons nil cons cons 15131 remove subst 19362 def appThm nil 1116 ref 19341 remove cons 19363 def 15767 remove cons nil cons cons 2078 ref subst 15770 remove 19307 remove refl appThm trans trans appThm 19361 remove 2078 ref subst nil 19363 ref 15772 remove cons nil cons cons 2078 ref subst trans appThm nil 15774 remove 19363 ref 15776 remove cons cons nil cons cons 2889 remove subst 15777 remove trans trans sym 15778 remove eqMp 129 ref "_53266" 14 ref var 19364 def 41 ref 129 ref 13954 ref 713 ref 12941 ref 12941 ref 2714 ref 19308 ref appTerm appTerm 19365 def appTerm appTerm appTerm 19366 def appTerm 19318 remove appTerm 19367 def appTerm 19368 def 13954 remove 713 ref 12941 ref 19364 remove varTerm appTerm appTerm appTerm appTerm absTerm 19369 def 2714 ref 15105 remove 13591 remove appTerm appTerm 19370 def appTerm 19371 def appTerm refl 19369 ref 19365 ref appTerm betaConv appThm 439 ref 19371 remove betaConv appThm 19368 remove 19366 ref appTerm refl appThm trans 19369 remove refl 180 ref 19370 remove appTerm 19365 remove appTerm assume appThm eqMp sym nil 399 ref 19367 ref nil cons 19372 def cons 400 ref 19366 remove nil cons 19373 def cons nil cons cons nil cons cons 19374 def 416 ref subst 19374 remove 467 ref subst 19367 remove assume sym nil 160 ref 707 ref 129 ref 19317 remove appTerm 19273 ref appTerm 19375 def absTerm 19376 def nil cons cons 19377 def nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 19375 remove nil cons cons nil cons nil cons cons 155 ref subst 439 ref nil 19360 remove 15799 remove cons nil cons cons 15808 remove subst appThm 19273 remove refl appThm sym 129 ref 15810 remove 187 ref 19308 ref appTerm 12917 ref appTerm appTerm appTerm refl 15814 remove 16761 remove appThm appThm sym 15815 remove 1131 ref nil 13638 remove 1006 ref 19310 remove cons nil cons cons nil cons cons 1210 remove subst appThm 16762 remove refl appThm sym 180 ref 12941 ref 19308 remove appTerm 19378 def appTerm refl 19379 def 15818 remove 16760 remove appThm appThm sym 19379 remove 19362 remove nil 19363 remove 15819 remove cons nil cons cons 1169 ref subst trans appThm nil 475 ref 19378 remove nil cons cons nil cons nil cons cons 1281 remove subst trans sym 154 ref eqMp eqMp eqMp appThm eqMp eqMp eqMp absThm eqMp 14092 remove 14093 ref 14094 ref 13963 ref 1597 ref 707 ref 14095 ref 14096 ref 625 ref 19376 ref 708 ref appTerm 19380 def betaConv nil 399 ref 17 ref 19376 remove appTerm nil cons cons 400 ref 19380 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 19377 remove 1093 ref cons nil cons cons 469 ref subst eqMp eqMp appThm 14081 ref appThm appThm appThm absThm appThm absThm appThm appThm appThm sym 129 ref "_53270" 14 ref var 19381 def 13955 remove 19381 remove varTerm appTerm absTerm 19382 def 19274 remove appTerm 19383 def appTerm refl 19382 ref 13586 ref appTerm betaConv appThm 439 ref 19383 remove betaConv appThm 19266 ref refl appThm trans 19382 remove refl 19275 remove assume appThm eqMp sym 19288 remove eqMp eqMp proveHyp eqMp eqMp nil 435 ref 19372 remove cons 437 ref 19373 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp proveHyp eqMp eqMp nil 399 ref 42 ref 19316 remove appTerm 19359 remove appTerm nil cons cons 400 ref 41 ref 19320 remove appTerm 19282 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 19301 ref cons 400 ref 19319 remove nil cons cons 19358 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp nil 15832 remove 437 ref 19301 remove cons nil cons 19384 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 15834 remove 19384 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 475 ref 15835 remove 19282 ref appTerm absTerm appTerm nil cons cons 400 ref 15836 remove 19282 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 15837 remove 19384 remove cons nil cons cons 688 ref subst eqMp eqMp proveHyp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 19291 ref cons 437 ref 19285 ref cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 42 ref 19266 remove appTerm 19290 remove appTerm nil cons cons 400 ref 41 ref 19280 remove appTerm 19284 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 19285 remove cons 400 ref 19291 remove cons 19289 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 15955 remove 437 ref 19261 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15957 remove 437 ref 19256 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15958 ref 437 ref 19248 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15959 ref 437 ref 19241 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15960 ref 437 ref 19233 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15961 ref 437 ref 19225 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 19216 remove cons 437 ref 19217 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp proveHyp eqMp eqMp eqMp eqMp nil 13946 ref 437 ref 19188 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13947 ref 437 ref 19182 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13948 ref 437 ref 19177 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13949 ref 437 ref 19170 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 19056 ref 19151 remove cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 19040 remove appTerm 19385 def betaConv 1970 ref nil 1971 ref 400 ref 19385 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 19055 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 19056 remove 437 ref 19049 remove cons 1553 ref 19052 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp proveHyp eqMp nil 435 ref 19028 remove cons 437 ref 19030 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp proveHyp nil 399 ref 18881 remove nil cons cons 400 ref 18886 remove nil cons cons nil cons 19386 def cons nil cons cons 467 ref subst proveHyp 19265 remove nil 19281 remove 19386 remove cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref 19287 remove 4700 ref subst appThm 19269 ref refl 625 ref 13812 ref 7837 ref 14040 ref 4544 ref 14394 remove 13613 remove appThm 19387 def appThm appThm appThm 19388 def appThm appThm 625 ref 620 ref 13814 ref 19388 remove appThm appThm appThm 625 ref 1131 ref 2793 ref 1368 ref 3190 ref 13789 ref nil 2073 ref 13641 ref 1006 ref 19228 remove cons nil cons cons cons nil cons cons 1169 ref subst nil 14046 ref 19164 remove cons nil cons cons 1169 ref subst trans 7837 ref nil 14046 ref 13932 ref cons nil cons cons 1169 ref subst 14040 ref nil 14046 remove 19205 ref cons nil cons cons 1169 ref subst 4544 ref 1368 ref 19387 ref appThm 19389 def 13645 remove appThm appThm trans appThm trans appThm trans 19390 def appThm appThm appThm 2814 ref 3190 ref 9405 ref 19390 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm 13615 remove appThm appThm 1131 ref 14093 remove 14094 remove 13963 ref 1597 remove 707 ref 14095 remove 14096 remove 625 ref 18689 remove 19387 remove appThm appThm 14081 remove appThm appThm appThm absThm appThm absThm appThm appThm appThm 19340 remove appThm appThm appThm appThm appThm appThm nil 150 ref 19269 remove 42 ref 13720 ref 713 ref 12941 ref 2714 ref 13043 remove 13618 remove appTerm 19391 def appTerm appTerm appTerm 19392 def appTerm 19393 def appTerm 42 ref 77 ref 13746 ref 19392 remove appTerm appTerm 19394 def appTerm 42 ref 180 ref 2217 ref 187 ref 726 ref 7321 ref 713 ref 12941 ref 2714 ref 187 ref 19391 ref appTerm 19395 def 12916 ref appTerm appTerm appTerm appTerm 19396 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 19396 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm 19397 def appTerm 180 ref 13959 remove 13962 remove 13963 remove 167 ref 707 ref 13966 remove 13969 remove 42 ref 14216 remove 19391 remove appTerm appTerm 14032 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 13586 remove appTerm 19398 def appTerm 19399 def appTerm 19400 def appTerm 19401 def appTerm 19402 def nil cons 19403 def cons nil cons nil cons cons 614 ref subst trans appThm 1131 ref 2793 ref 1368 ref 3190 ref 13789 ref nil 13629 ref 1003 ref 18883 remove nil cons cons 7786 ref cons cons nil cons cons 1169 ref subst 7837 ref nil 13629 remove 1237 ref 19204 remove cons cons nil cons cons 1169 ref subst nil 13637 ref 13932 ref cons nil cons cons 1169 ref subst trans 14040 ref nil 13637 remove 19205 ref cons nil cons cons 1169 ref subst 4544 remove 19389 remove 13631 ref refl appThm appThm trans appThm trans appThm trans 19404 def appThm appThm appThm 2814 ref 3190 ref 9405 ref 19404 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm 13655 ref appThm appThm sym 17570 remove 129 ref "_52572" 14 ref var 19405 def 41 ref 19402 remove appTerm 19406 def 180 ref 2217 ref 187 ref 726 ref 7321 ref 713 ref 12941 remove 2714 ref 19395 remove 19405 remove varTerm appTerm appTerm appTerm appTerm 19407 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 19407 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm appTerm absTerm 19408 def 13631 remove appTerm 19409 def appTerm refl 19408 ref 12916 remove appTerm betaConv appThm 439 ref 19409 remove betaConv appThm 19406 remove 19397 ref appTerm refl appThm trans 19408 remove refl 17580 remove appThm eqMp sym nil 399 ref 19403 ref cons 400 ref 19397 remove nil cons 19410 def cons nil cons cons nil cons cons 19411 def 416 ref subst 19411 remove 467 ref subst nil 19293 remove 437 ref 19401 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 19393 remove nil cons cons 437 ref 19400 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 19394 remove nil cons cons 437 ref 19399 remove nil cons cons nil cons cons nil cons cons 515 ref subst nil 435 ref 19410 ref cons 437 ref 19398 remove nil cons cons nil cons cons nil cons cons 451 ref subst proveHyp proveHyp proveHyp eqMp nil 435 ref 19403 remove cons 437 ref 19410 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp proveHyp eqMp eqMp eqMp eqMp proveHyp eqMp nil 435 ref 14202 remove cons 437 ref 13801 remove cons nil cons 19412 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp proveHyp eqMp proveHyp eqMp proveHyp eqMp eqMp nil 435 ref 14024 remove cons 437 ref 14021 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp eqMp nil 435 ref 13797 remove cons 19412 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 41 ref 17 ref 707 ref 41 ref 709 ref 7437 ref 191 ref appTerm 19413 def appTerm appTerm 19414 def 12935 ref appTerm absTerm appTerm appTerm 42 ref 17 ref 707 ref 19414 remove 13775 ref appTerm absTerm appTerm appTerm 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 713 ref 187 ref 19413 remove appTerm 192 ref appTerm appTerm appTerm 13137 ref appTerm 19415 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 19415 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm appTerm appTerm 19416 def nil cons cons 400 ref 17 ref 7366 ref 41 ref 13781 ref appTerm 19417 def 41 ref 17 ref 707 ref 41 ref 709 remove 7437 ref 1285 ref 7367 remove appTerm 19418 def appTerm 19419 def appTerm 19420 def appTerm 19421 def 12935 remove appTerm absTerm 19422 def appTerm 19423 def appTerm 42 ref 17 ref 707 ref 19421 remove 13775 ref appTerm 19424 def absTerm 19425 def appTerm 19426 def appTerm 180 ref 2217 ref 187 ref 726 ref 7321 ref 187 ref 713 ref 187 ref 19419 ref appTerm 192 ref appTerm appTerm 19427 def appTerm 13137 remove appTerm 19428 def appTerm appTerm appTerm 2196 ref 726 ref 7322 ref 19428 remove appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm 19429 def appTerm 19430 def appTerm 19431 def appTerm 19432 def absTerm 19433 def appTerm 19434 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 160 ref 19433 remove nil cons cons nil cons nil cons cons 164 ref subst 7366 ref nil 150 ref 19432 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 13781 remove nil cons 19435 def cons 19436 def 400 ref 19431 remove nil cons 19437 def cons nil cons cons nil cons cons 19438 def 416 ref subst 19438 remove 467 ref subst nil 399 ref 19423 remove nil cons 19439 def cons 19440 def 400 ref 19430 ref nil cons 19441 def cons nil cons 19442 def cons nil cons cons 19443 def 416 ref subst 19443 remove 467 ref subst nil 19436 remove 19442 ref cons nil cons cons 459 ref subst nil 160 ref 12937 remove nil cons cons nil cons nil cons cons 164 ref subst 707 ref nil 150 ref 12936 remove nil cons cons nil cons nil cons cons 155 ref subst nil 399 ref 12932 ref nil cons 19444 def cons 13945 remove nil cons 19445 def cons nil cons cons 19446 def 416 ref subst 19446 remove 467 ref subst 1003 ref 7820 remove 4352 remove 19419 ref appTerm appTerm absTerm 19447 def 7680 remove appTerm betaConv sym 17583 remove 17453 remove refl nil 7983 ref 12198 ref cons 19448 def nil cons cons 19449 def 1324 ref subst 19450 def appThm nil 1003 ref 13653 ref cons 19451 def 7647 ref cons nil cons cons 19452 def 16806 remove subst nil 150 ref 19444 ref cons nil cons nil cons cons 155 ref subst 12932 ref assume eqMp trans trans appThm 634 ref trans sym 154 ref eqMp eqMp 162 ref 160 ref 19447 ref nil cons cons 17584 remove cons nil cons cons 3525 ref subst proveHyp nil 399 ref 167 remove 19447 remove appTerm nil cons cons 400 ref 19420 remove nil cons 19453 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1116 ref 19419 ref nil cons 19454 def cons 7647 remove cons nil cons cons 4776 remove subst eqMp nil 399 ref 19453 remove cons 19445 remove cons nil cons cons 459 ref subst proveHyp 19422 ref 708 ref appTerm 19455 def betaConv nil 19440 ref 400 ref 19455 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 19422 ref nil cons cons 19456 def 1093 ref cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp nil 435 ref 19444 ref cons 437 ref 13937 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 13770 ref 400 ref 41 ref 13778 remove appTerm 19430 ref appTerm 19457 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp nil 399 ref 13779 ref cons 19442 remove cons nil cons cons 19458 def 416 ref subst 19458 remove 467 ref subst nil 435 ref 13777 remove nil cons 19459 def cons 437 ref 13733 ref nil cons cons nil cons cons nil cons cons 19460 def 451 ref subst 19460 remove 515 ref subst nil 160 ref 19425 remove nil cons cons nil cons nil cons cons 164 remove subst 707 remove nil 150 ref 19424 remove nil cons cons nil cons nil cons cons 155 remove subst 165 ref 13785 remove 19450 ref appThm 19452 remove 15425 remove subst trans appThm 13788 remove appThm sym nil 399 ref 1486 ref 717 remove 1285 remove 12931 ref appTerm 19461 def appTerm 19462 def appTerm 12932 remove appTerm nil cons 19463 def cons 400 ref 13775 remove nil cons 19464 def cons nil cons 19465 def cons nil cons cons 19466 def 416 ref subst 19466 remove 467 ref subst 13776 ref 708 ref appTerm 19467 def betaConv nil 399 ref 19459 remove cons 19468 def 400 ref 19467 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 160 ref 13776 ref nil cons cons 19469 def 1093 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 19462 ref nil cons 19470 def cons 19465 remove cons nil cons cons 19471 def 416 ref subst 19471 remove 467 ref subst 129 ref "_48540" 14 ref var 19472 def 129 ref 42 ref 77 ref 13720 ref 713 ref 187 ref 19472 remove varTerm 19473 def appTerm 192 ref appTerm appTerm 19474 def appTerm appTerm appTerm 77 ref 13746 ref 19474 remove appTerm appTerm appTerm appTerm 7439 ref 19473 remove appTerm appTerm absTerm 19475 def 708 remove appTerm 19476 def appTerm refl 19475 ref 19461 ref appTerm betaConv appThm 439 ref 19476 remove betaConv appThm 129 ref 42 ref 77 ref 13720 ref 713 ref 187 ref 19461 ref appTerm 192 ref appTerm appTerm 19477 def appTerm appTerm appTerm 77 ref 13746 ref 19477 remove appTerm appTerm appTerm appTerm 7439 ref 19461 remove appTerm appTerm refl appThm trans 19475 remove refl 19462 remove assume appThm eqMp sym 439 ref 625 ref 620 ref 13812 ref 7837 ref 1368 ref 19449 ref 14974 remove subst 19478 def appThm 2100 ref appThm appThm 19479 def appThm appThm appThm 620 ref 13814 ref 19479 remove appThm appThm appThm appThm 7439 ref refl 19478 remove appThm nil 1003 ref 19418 ref nil cons 19480 def cons 19481 def 12198 remove cons nil cons cons 6133 ref subst trans appThm nil 150 ref 42 ref 77 ref 13720 ref 19427 ref appTerm appTerm appTerm 77 ref 13746 ref 19427 remove appTerm appTerm appTerm nil cons cons nil cons nil cons cons 11320 ref subst trans sym 625 ref 620 ref 13812 ref nil 2073 ref 1003 ref 19454 ref cons 19482 def 7786 ref cons cons nil cons cons 2078 ref subst 1368 ref nil 1116 remove 19480 remove cons 19483 def 4470 remove 7786 ref cons cons nil cons cons 19484 def 2078 remove subst appThm 2100 ref appThm trans 19485 def appThm appThm appThm 620 ref 13814 ref 19485 remove appThm appThm appThm sym 13821 remove nil 13824 remove 400 ref 42 ref 77 ref 13720 ref 187 ref 187 ref 2207 remove appTerm 19418 ref appTerm 19486 def appTerm 192 ref appTerm 19487 def appTerm appTerm appTerm 77 ref 13746 ref 19487 remove appTerm appTerm 19488 def appTerm 19489 def nil cons 19490 def cons nil cons 19491 def cons nil cons cons 459 ref subst proveHyp 13830 remove 19489 remove refl appThm sym nil 13833 remove 19491 remove cons nil cons cons 19492 def 416 ref subst 19492 remove 467 ref subst 625 ref 620 ref nil 38 ref 19486 ref nil cons cons nil cons nil cons cons 19493 def 13837 remove subst appThm appThm 19488 ref refl appThm sym 13844 remove nil 13847 remove 400 ref 42 ref 77 ref 13815 remove 19486 ref appTerm appTerm appTerm 19494 def 19488 remove appTerm 19495 def nil cons 19496 def cons nil cons 19497 def cons nil cons cons 459 ref subst proveHyp 13852 remove 19495 remove refl appThm sym nil 13855 remove 19497 remove cons nil cons cons 19498 def 416 ref subst 19498 remove 467 ref subst 19494 ref refl 620 ref 19493 ref 13858 remove subst appThm appThm sym 13872 remove nil 13874 remove 400 ref 19494 remove 77 ref 13838 remove 19486 ref appTerm appTerm 19499 def appTerm 19500 def nil cons 19501 def cons nil cons 19502 def cons nil cons cons 459 ref subst proveHyp 13879 remove 19500 remove refl appThm sym nil 13882 remove 19502 remove cons nil cons cons 19503 def 416 ref subst 19503 remove 467 ref subst 625 ref 620 ref 19493 ref 13885 remove subst appThm appThm 19499 ref refl appThm sym 13893 remove nil 13895 remove 400 ref 42 ref 77 ref 1486 ref 46 ref 19486 ref appTerm appTerm 19504 def 13860 ref 19486 ref appTerm appTerm appTerm appTerm 19505 def 19499 remove appTerm 19506 def nil cons 19507 def cons nil cons 19508 def cons nil cons cons 459 ref subst proveHyp 13902 remove 19506 remove refl appThm sym nil 13905 remove 19508 remove cons nil cons cons 19509 def 416 ref subst 19509 remove 467 ref subst 19505 ref refl 620 ref 19493 remove 13908 remove subst appThm appThm sym 19422 remove 19419 ref appTerm 19510 def betaConv nil 19440 remove 400 ref 19510 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 19456 remove 475 ref 19454 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 41 ref 698 ref 19419 ref appTerm 19511 def 19419 ref appTerm 19512 def appTerm 129 ref 46 remove 713 ref 19419 remove appTerm 19513 def appTerm 19514 def appTerm 19515 def 19511 remove 12917 ref appTerm 19516 def appTerm 19517 def appTerm 19518 def nil cons cons 400 ref 19505 remove 77 ref 19504 remove 13886 ref 19486 remove appTerm appTerm appTerm appTerm 19519 def nil cons 19520 def cons nil cons cons nil cons cons 459 ref subst proveHyp nil 19482 remove nil cons nil cons cons 4700 ref subst sym 154 ref eqMp nil 399 ref 19512 ref nil cons cons 19521 def 400 ref 41 ref 19517 ref appTerm 19522 def 19519 ref appTerm 19523 def nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 19522 remove refl 625 ref 620 ref 1508 remove 14493 remove 19484 remove 1169 ref subst 19524 def appThm appThm 19525 def 14509 remove 19524 ref appThm appThm appThm appThm 620 ref 19525 remove 14510 remove 19524 remove appThm appThm appThm appThm appThm sym 129 ref "_48674" 14 ref var 19526 def 129 ref 698 ref 187 ref 19526 remove varTerm appTerm 19418 ref appTerm appTerm 12917 ref appTerm appTerm 1407 ref appTerm absTerm 19527 def 1017 remove appTerm 19528 def appTerm refl 19527 ref 13923 remove appTerm betaConv appThm 439 ref 19528 remove betaConv appThm 129 ref 698 ref 18882 remove 19418 ref appTerm appTerm 12917 remove appTerm appTerm 1407 ref appTerm refl appThm trans 19527 remove refl 13928 remove appThm eqMp sym 4701 ref nil 19483 ref 13932 remove cons nil cons cons 1169 ref subst 14040 remove nil 19483 remove 19205 remove cons nil cons cons 1169 ref subst appThm trans appThm 16444 remove appThm nil 1003 ref 2714 remove 187 ref 13921 remove appTerm 19418 ref appTerm 19529 def appTerm nil cons cons 13635 remove cons nil cons cons 15745 remove subst nil 1003 ref 19529 remove nil cons cons 4159 remove cons nil cons cons 6617 ref subst 42 ref 180 ref 192 ref appTerm 191 ref appTerm 19530 def appTerm refl nil 19481 remove 1006 ref 14537 remove cons nil cons cons nil cons cons 6617 remove subst 42 ref 19206 remove appTerm refl nil 7983 remove nil cons nil cons cons 4399 remove subst appThm 19207 remove 6632 ref subst trans trans appThm nil 150 ref 19530 remove nil cons cons nil cons nil cons cons 6632 ref subst trans trans trans trans eqMp 129 ref "_48672" 2 ref var 19531 def 41 ref 19515 ref 19531 remove varTerm appTerm appTerm 42 ref 77 ref 1486 ref 19514 ref appTerm 19532 def 13860 remove 19513 ref appTerm 19533 def appTerm appTerm appTerm 77 ref 19532 remove 13886 remove 19513 ref appTerm 19534 def appTerm appTerm appTerm 19535 def appTerm absTerm 19536 def 19516 ref appTerm 19537 def appTerm refl 19536 ref 1407 ref appTerm betaConv appThm 439 ref 19537 remove betaConv appThm 41 ref 19515 remove 1407 ref appTerm 19538 def appTerm 19535 ref appTerm refl appThm trans 19536 remove refl 129 ref 19516 remove appTerm 1407 ref appTerm assume appThm eqMp sym nil 399 ref 19538 ref nil cons 19539 def cons 400 ref 19535 remove nil cons 19540 def cons nil cons cons nil cons cons 19541 def 416 ref subst 19541 remove 467 ref subst 129 ref "_48676" 2 remove var 19542 def 42 ref 77 ref 1486 remove 19542 remove varTerm appTerm 19543 def 19533 ref appTerm appTerm appTerm 77 ref 19543 remove 19534 ref appTerm appTerm appTerm absTerm 19544 def 19514 remove appTerm 19545 def appTerm refl 19544 ref 1407 ref appTerm betaConv appThm 439 ref 19545 remove betaConv appThm 42 ref 77 ref 1537 ref 19533 ref appTerm appTerm appTerm 77 ref 1537 remove 19534 ref appTerm appTerm appTerm refl appThm trans 19544 remove refl 19538 remove assume appThm eqMp sym 625 ref 620 ref nil 150 ref 19533 ref nil cons cons nil cons nil cons cons 1541 ref subst appThm appThm 620 ref nil 150 ref 19534 ref nil cons cons nil cons nil cons cons 1541 remove subst appThm appThm sym 14634 remove nil 14636 remove 400 ref 42 ref 77 ref 19533 remove appTerm appTerm 77 ref 19534 remove appTerm 19546 def appTerm 19547 def nil cons 19548 def cons nil cons 19549 def cons nil cons cons 459 ref subst proveHyp 14640 remove 19547 remove refl appThm sym nil 14643 remove 19549 remove cons nil cons cons 19550 def 416 ref subst 19550 remove 467 ref subst 625 ref 620 ref nil 38 ref 19513 ref nil cons cons nil cons nil cons cons 19551 def 14647 remove subst appThm appThm 19546 ref refl 19552 def appThm sym 14656 remove nil 14658 remove 400 ref 42 ref 77 ref 42 ref 14621 ref 19513 ref appTerm appTerm 19553 def 14624 remove 19513 ref appTerm appTerm appTerm appTerm 19546 ref appTerm 19554 def nil cons 19555 def cons nil cons 19556 def cons nil cons cons 459 ref subst proveHyp 14663 remove 19554 remove refl appThm sym nil 14666 remove 19556 remove cons nil cons cons 19557 def 416 ref subst 19557 remove 467 ref subst 625 ref 620 ref 19553 ref refl 19551 ref 14669 remove subst appThm appThm appThm 19552 remove appThm sym 14688 remove nil 14690 remove 400 ref 42 ref 77 ref 19553 remove 42 ref 13746 ref 19513 ref appTerm 19558 def appTerm 585 ref 19513 ref appTerm appTerm appTerm appTerm appTerm 19559 def 19546 remove appTerm 19560 def nil cons 19561 def cons nil cons 19562 def cons nil cons cons 459 ref subst proveHyp 14698 remove 19560 remove refl appThm sym nil 14701 remove 19562 remove cons nil cons cons 19563 def 416 ref subst 19563 remove 467 ref subst 19559 ref refl 19564 def 620 ref 19551 ref 14705 remove subst appThm appThm sym 14716 remove nil 14718 remove 400 ref 19559 ref 77 ref 4371 ref 19558 remove appTerm 14671 ref 19513 ref appTerm appTerm 19565 def 14674 remove 19513 ref appTerm appTerm appTerm appTerm 19566 def nil cons 19567 def cons nil cons 19568 def cons nil cons cons 459 ref subst proveHyp 14724 remove 19566 remove refl appThm sym nil 14727 remove 19568 remove cons nil cons cons 19569 def 416 ref subst 19569 remove 467 ref subst 19564 remove 620 ref 19565 ref refl 19551 remove 14730 remove subst appThm appThm appThm sym 13776 remove 12931 ref appTerm 19570 def betaConv nil 19468 remove 400 ref 19570 remove nil cons cons nil cons cons nil cons cons 459 ref subst 162 ref 19469 remove 475 remove 13653 ref cons nil cons cons nil cons cons 469 ref subst eqMp eqMp 19571 def nil 399 ref 41 ref 698 ref 12931 ref appTerm 12931 ref appTerm appTerm 129 ref 42 ref 77 ref 13720 ref 13675 ref appTerm 19572 def appTerm 19573 def appTerm 77 ref 13746 ref 13675 ref appTerm appTerm 19574 def appTerm 19575 def appTerm 19576 def 7439 remove 12931 remove appTerm appTerm appTerm nil cons cons 19577 def 400 ref 19559 remove 77 ref 19565 remove 42 ref 13720 ref 19513 ref appTerm appTerm 14707 ref 19513 remove appTerm appTerm appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 165 ref nil 19451 remove nil cons nil cons cons 4700 remove subst appThm 19578 def 439 ref 625 ref 620 ref 13812 ref 7837 ref nil 2073 ref 19448 remove cons nil cons cons 1169 remove subst appThm 19579 def appThm appThm appThm 620 ref 13814 ref 19579 remove appThm appThm appThm appThm 19449 remove 6133 remove subst 19580 def appThm nil 150 ref 42 ref 77 ref 13720 remove 713 remove 7437 remove 8698 remove appTerm appTerm 19581 def appTerm 19582 def appTerm 19583 def appTerm 77 ref 13746 remove 19581 ref appTerm 19584 def appTerm 19585 def appTerm nil cons 19586 def cons nil cons nil cons cons 19587 def 11320 ref subst trans appThm 19587 remove 614 ref subst trans appThm 625 ref 620 ref 625 ref 14621 ref refl 7837 ref 12209 remove nil 7429 remove nil cons cons 4539 ref subst appThm appThm 19588 def appThm appThm 625 ref 13814 remove 19588 ref appThm 19589 def appThm 14945 remove 19588 ref appThm appThm appThm appThm appThm 620 ref 4386 ref 19589 remove appThm 14671 ref refl 19588 ref appThm appThm 625 ref 13812 remove 19588 ref appThm appThm 14707 ref refl 19588 remove appThm appThm appThm appThm appThm appThm sym nil 399 ref 19586 ref cons 400 ref 42 ref 77 ref 42 ref 14621 remove 19581 ref appTerm 19590 def appTerm 19591 def 42 ref 19584 ref appTerm 585 remove 19581 ref appTerm 19592 def appTerm appTerm appTerm appTerm 77 ref 4371 remove 19584 ref appTerm 14671 remove 19581 ref appTerm 19593 def appTerm 42 ref 19582 ref appTerm 14707 remove 19581 remove appTerm 19594 def appTerm appTerm appTerm appTerm nil cons 19595 def cons nil cons cons nil cons cons 19596 def 416 ref subst 19596 remove 467 ref subst nil 435 ref 19583 remove nil cons 19597 def cons 437 ref 19585 remove nil cons 19598 def cons nil cons cons nil cons cons 19599 def 451 ref subst 19599 remove 515 remove subst 625 ref 620 ref 19591 remove refl 625 ref nil 399 ref 19598 remove cons 400 ref 129 ref 19584 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 19584 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp 19600 def appThm 19592 ref refl appThm nil 150 ref 19592 remove nil cons cons nil cons nil cons cons 1506 ref subst trans appThm nil 150 ref 19590 remove nil cons cons nil cons nil cons cons 6632 remove subst trans appThm 1507 ref trans appThm 620 ref 4386 remove 19600 remove appThm 19593 ref refl appThm 625 ref nil 399 ref 19597 remove cons 400 ref 129 ref 19582 ref appTerm 1407 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 19582 remove nil cons cons nil cons nil cons cons 1932 ref subst eqMp appThm 19594 ref refl appThm nil 150 ref 19594 remove nil cons cons nil cons nil cons cons 1506 ref subst trans appThm nil 14949 remove 1812 ref 19593 remove nil cons cons nil cons cons nil cons cons 4530 remove subst trans appThm 1507 ref trans appThm 634 remove trans sym 154 ref eqMp proveHyp proveHyp eqMp nil 435 ref 19586 remove cons 437 ref 19595 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15958 remove 437 ref 19567 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15959 remove 437 ref 19561 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15960 remove 437 ref 19555 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 15961 remove 437 ref 19548 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 19539 remove cons 437 ref 19540 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp proveHyp eqMp eqMp nil 399 ref 42 ref 19512 remove appTerm 19523 remove appTerm nil cons cons 400 ref 41 ref 19518 remove appTerm 19519 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 ref 19520 remove cons 400 ref 19517 remove nil cons cons 19521 remove nil cons cons cons nil cons cons 2139 ref subst eqMp eqMp eqMp eqMp nil 13946 remove 437 ref 19507 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13947 remove 437 ref 19501 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13948 remove 437 ref 19496 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13949 remove 437 ref 19490 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 19470 remove cons 19601 def 437 ref 19464 ref cons nil cons 19602 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 19601 remove 437 ref 19444 remove cons 1553 ref 19464 remove cons nil cons cons cons nil cons cons 1571 ref subst proveHyp proveHyp eqMp nil 435 ref 19463 remove cons 19602 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp nil 399 ref 19426 remove nil cons cons 400 ref 19429 remove nil cons cons nil cons cons nil cons cons 467 ref subst proveHyp 1131 ref 2793 ref 1368 ref 3190 ref 13789 ref 1368 ref 7837 remove 1368 ref 19450 remove appThm 2100 ref appThm nil 1237 remove 1006 ref 13653 remove cons nil cons cons nil cons cons 1313 ref subst trans appThm nil 1003 ref 13674 remove nil cons cons 7786 remove cons nil cons cons 1324 remove subst trans appThm 13790 remove appThm nil 13641 remove 1006 ref 13675 remove nil cons 19603 def cons nil cons cons nil cons cons 1313 remove subst trans 19604 def appThm appThm appThm 2814 ref 3190 ref 9405 ref 19604 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm 13655 ref appThm sym 1131 ref 2793 ref 1368 ref 3190 ref 13789 remove nil 1006 ref 13701 remove cons nil cons nil cons cons 4539 ref subst 19605 def appThm appThm appThm 2814 ref 3190 ref 9405 remove 19605 remove appThm appThm appThm appThm appThm 1703 ref appThm appThm 13655 ref appThm sym 17040 remove nil 17042 remove 400 ref 180 ref 2217 ref 187 ref 726 ref 7321 remove 187 ref 13676 ref appTerm 192 ref appTerm 19606 def appTerm appTerm appTerm 2196 ref 726 ref 7322 remove 19606 remove appTerm appTerm appTerm 19607 def appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm 19608 def nil cons 19609 def cons nil cons 19610 def cons nil cons cons 459 ref subst proveHyp 17045 remove 19608 remove refl appThm sym nil 17048 remove 19610 remove cons nil cons cons 19611 def 416 ref subst 19611 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 13702 ref 17052 remove subst appThm appThm 19607 ref refl appThm appThm 1703 ref appThm appThm 13655 ref appThm sym 17060 remove nil 17062 remove 400 ref 180 ref 2217 ref 187 ref 726 ref 17034 remove 13676 ref appTerm appTerm appTerm 19612 def 19607 remove appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm 19613 def nil cons 19614 def cons nil cons 19615 def cons nil cons cons 459 ref subst proveHyp 17067 remove 19613 remove refl appThm sym nil 17070 remove 19615 remove cons nil cons cons 19616 def 416 ref subst 19616 remove 467 ref subst 1131 ref 2793 ref 19612 ref refl 2814 ref 3190 ref 13702 ref 17073 remove subst appThm appThm appThm appThm 1703 ref appThm appThm 13655 ref appThm sym 17090 remove nil 17092 remove 400 ref 180 ref 2217 ref 19612 remove 2196 ref 726 ref 17054 remove 13676 ref appTerm appTerm appTerm 19617 def appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm 19618 def nil cons 19619 def cons nil cons 19620 def cons nil cons cons 459 ref subst proveHyp 17097 remove 19618 remove refl appThm sym nil 17100 remove 19620 remove cons nil cons cons 19621 def 416 ref subst 19621 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 13702 ref 17103 remove subst appThm appThm 19617 ref refl appThm appThm 1703 ref appThm appThm 13655 ref appThm sym 17145 remove nil 17147 remove 400 ref 180 ref 2217 ref 187 ref 726 ref 3052 ref 13656 remove 13676 ref appTerm appTerm 19622 def 17075 remove 13676 ref appTerm 19623 def appTerm 13708 ref appTerm appTerm appTerm 19624 def 19617 remove appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm 19625 def nil cons 19626 def cons nil cons 19627 def cons nil cons cons 459 ref subst proveHyp 17156 remove 19625 remove refl appThm sym nil 17159 remove 19627 remove cons nil cons cons 19628 def 416 ref subst 19628 remove 467 ref subst 1131 ref 2793 ref 19624 ref refl 2814 ref 3190 ref 13702 remove 17163 remove subst appThm appThm appThm appThm 1703 ref appThm appThm 13655 ref appThm sym 13729 remove nil 13731 remove 400 ref 180 ref 2217 ref 19624 remove 2196 ref 726 ref 19622 remove 17135 remove 13676 remove appTerm 19629 def appTerm 13732 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13619 ref appTerm 19630 def nil cons 19631 def cons nil cons 19632 def cons nil cons cons 459 ref subst proveHyp 13737 remove 19630 remove refl appThm sym nil 13740 remove 19632 remove cons nil cons cons 19633 def 416 ref subst 19633 remove 467 ref subst 1131 ref 2793 ref 1368 ref 3190 ref 17193 ref nil 38 ref 19603 remove cons nil cons nil cons cons 13744 remove subst appThm 19634 def 19623 ref refl 19635 def appThm 13708 ref refl 19636 def appThm appThm appThm 2814 ref 3190 ref 19634 remove 19629 ref refl 19637 def appThm 13732 ref refl 19638 def appThm appThm appThm appThm appThm 1703 ref appThm appThm 13655 remove appThm sym 13754 remove nil 13756 remove 400 ref 180 ref 2217 remove 187 remove 726 ref 3052 remove 19572 ref appTerm 19639 def 19623 ref appTerm 13708 ref appTerm appTerm appTerm 2196 remove 726 remove 19639 remove 19629 ref appTerm 13732 ref appTerm appTerm appTerm appTerm appTerm 1011 ref appTerm appTerm 13619 remove appTerm 19640 def nil cons 19641 def cons nil cons 19642 def cons nil cons cons 459 ref subst proveHyp 13763 remove 19640 remove refl 19643 def appThm sym nil 13766 remove 19642 ref cons nil cons cons 19644 def 416 ref subst 19644 remove 467 ref subst 19571 remove nil 19577 remove 19642 ref cons nil cons cons 459 ref subst proveHyp 165 ref 19578 remove 19576 remove refl 19580 remove appThm nil 150 ref 19575 remove nil cons 19645 def cons nil cons nil cons cons 19646 def 11320 remove subst trans appThm 19646 remove 614 remove subst trans appThm 19643 remove appThm sym nil 399 ref 19645 ref cons 19642 remove cons nil cons cons 19647 def 416 ref subst 19647 remove 467 ref subst nil 435 ref 19573 remove nil cons 19648 def cons 437 ref 19574 remove nil cons cons nil cons cons nil cons cons 451 ref subst 2793 remove 1368 ref 3190 ref 17193 remove nil 399 ref 19648 remove cons 400 ref 129 ref 19572 ref appTerm 1407 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst nil 435 ref 19572 remove nil cons cons nil cons nil cons cons 1932 remove subst eqMp appThm 19649 def 19635 remove appThm 19636 remove appThm nil 3191 ref 13708 remove nil cons cons 3192 ref 19623 remove nil cons cons nil cons cons nil cons cons 3211 ref subst trans appThm appThm 2814 remove 3190 remove 19649 remove 19637 remove appThm 19638 remove appThm nil 3191 remove 13732 remove nil cons cons 3192 remove 19629 remove nil cons cons nil cons cons nil cons cons 3211 remove subst trans appThm appThm appThm appThm 1703 remove appThm 13733 remove assume trans proveHyp eqMp nil 435 ref 19645 remove cons 437 ref 19641 remove cons nil cons 19650 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 14121 ref 19650 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14087 ref 437 ref 19631 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17591 remove 437 ref 19626 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17593 remove 437 ref 19619 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17594 remove 437 ref 19614 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 17595 remove 437 ref 19609 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 435 ref 13779 remove cons 437 ref 19441 ref cons nil cons 19651 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 399 ref 12939 remove 19457 remove appTerm nil cons cons 400 ref 19417 remove 19430 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp nil 1559 remove 19441 remove cons 13780 remove 13770 remove nil cons cons cons nil cons cons 2139 remove subst eqMp eqMp eqMp nil 435 ref 19439 remove cons 19651 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp nil 435 ref 19435 remove cons 437 ref 19437 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 399 ref 42 ref 19416 remove appTerm 19434 remove appTerm nil cons cons 400 ref 17 ref 13782 ref appTerm nil cons 19652 def cons nil cons cons nil cons cons 459 ref subst proveHyp 165 ref 625 ref 13782 ref 191 remove appTerm betaConv appThm 603 ref 7366 ref 165 remove 13784 ref appThm 13782 ref 19418 remove appTerm betaConv appThm absThm appThm appThm appThm 603 ref 7366 remove 13784 remove absThm appThm appThm nil 1329 remove 13782 remove nil cons 19653 def cons nil cons nil cons cons 1341 remove subst eqMp eqMp nil 399 ref 19652 remove cons 400 ref 13783 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 19653 remove cons 7389 remove cons nil cons cons 469 ref subst eqMp eqMp eqMp eqMp eqMp nil 14121 remove 437 ref 13761 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 14087 remove 437 ref 13735 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 13714 remove cons 437 ref 13711 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 13697 remove cons 437 ref 13694 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 13683 remove cons 437 ref 13680 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 435 ref 13617 remove cons 437 ref 13620 remove cons nil cons cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 435 ref 13593 remove cons 437 ref 13581 remove cons nil cons 19654 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 13589 remove cons 19654 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 6234 ref 4832 ref appTerm appTerm 13580 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 6235 remove appTerm 13580 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 6234 remove nil cons cons 19654 remove cons nil cons cons 688 ref subst eqMp eqMp eqMp eqMp eqMp nil 435 ref 13576 ref cons 437 ref 13302 ref cons nil cons 19655 def cons nil cons cons 451 ref subst deductAntisym eqMp nil 399 ref 13583 ref cons 13303 ref cons nil cons cons 19656 def 416 ref subst 19656 remove 467 ref subst 6010 remove 12945 ref appTerm 19657 def betaConv 6014 remove nil 6015 remove 400 ref 19657 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 3194 remove 6017 remove 3518 remove 12945 ref nil cons cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 4349 remove 12946 ref appTerm 738 remove 5989 remove 12945 remove appTerm appTerm 19658 def appTerm nil cons 19659 def cons 1425 ref cons nil cons cons 459 ref subst proveHyp nil 150 ref 19659 remove cons nil cons nil cons cons 1412 ref subst nil 1003 ref 19658 remove nil cons cons 13605 ref cons nil cons cons 4613 remove subst trans 4701 ref 4637 remove nil 38 remove 14000 remove cons 13286 remove cons nil cons cons 6025 remove subst appThm appThm 12946 remove refl appThm trans sym nil 1003 ref 13604 remove cons 1006 ref 13609 remove cons nil cons 19660 def cons nil cons cons 1003 ref 1013 remove 16797 remove appTerm 19661 def absTerm 19662 def 1011 ref appTerm 19663 def betaConv 1006 ref 17 ref 19662 ref appTerm 19664 def absTerm 19665 def 1009 ref appTerm 19666 def betaConv 603 ref 1006 ref 603 remove 1003 ref 19661 remove assume sym 16798 remove assume sym deductAntisym absThm appThm absThm appThm 16805 remove eqMp nil 399 ref 17 ref 19665 ref appTerm nil cons cons 400 ref 19666 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 19665 remove nil cons cons 1025 ref cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 19664 remove nil cons cons 400 ref 19663 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 19662 remove nil cons cons 1027 ref cons nil cons cons 469 ref subst eqMp eqMp subst sym 4701 ref nil 19660 remove nil cons cons 4539 ref subst appThm nil 13605 ref nil cons cons 4539 remove subst appThm sym 129 ref "_48410" 14 remove var 19667 def 698 ref 19667 remove varTerm appTerm 12947 remove 192 ref appTerm 19668 def appTerm absTerm 19669 def 12950 remove appTerm 19670 def appTerm refl 19669 ref 12948 ref appTerm betaConv appThm 439 remove 19670 remove betaConv appThm 698 remove 12948 remove appTerm 19668 remove appTerm refl appThm trans 19669 remove refl 12951 remove assume sym appThm eqMp sym nil 2073 remove 1369 remove 13605 remove cons cons nil cons cons 6045 remove subst 4701 remove 4372 ref assume appThm 2100 ref appThm 3369 remove 9286 remove subst trans trans sym 154 ref eqMp eqMp eqMp eqMp eqMp eqMp nil 435 ref 13302 ref cons nil cons nil cons cons 1931 remove subst 19671 def proveHyp eqMp nil 13584 ref 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp 1967 ref 4372 remove appTerm 19672 def betaConv 1970 ref nil 1971 ref 400 ref 19672 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 ref 1972 ref 611 ref 13583 remove cons nil cons cons nil cons cons 469 ref subst eqMp eqMp nil 13584 remove 437 ref 13576 remove cons 1553 remove 13302 remove cons nil cons 19673 def cons cons nil cons cons 1571 ref subst proveHyp proveHyp proveHyp eqMp nil 2515 remove 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp nil 15262 remove 13303 remove cons nil cons cons 19674 def 416 remove subst 19674 remove 467 remove subst nil 399 ref 7049 ref cons 1425 remove cons nil cons cons 459 ref subst nil 150 ref 7049 remove cons nil cons nil cons cons 1412 remove subst 620 ref 6905 remove refl 1368 remove 6906 remove refl 2184 ref assume appThm nil 1006 ref 1089 remove cons nil cons nil cons cons 3254 remove subst trans appThm 2100 ref appThm 2054 remove trans appThm nil 1003 ref 9019 remove cons 17964 remove cons nil cons cons 1003 ref 129 remove 3228 remove 192 ref appTerm appTerm 42 remove 1106 remove 192 ref appTerm appTerm 1015 remove 192 ref appTerm appTerm appTerm absTerm 19675 def 1011 remove appTerm 19676 def betaConv 1006 remove 17 ref 19675 ref appTerm 19677 def absTerm 19678 def 1009 remove appTerm 19679 def betaConv nil 17 ref 19678 ref appTerm 19680 def axiom nil 399 ref 19680 remove nil cons cons 400 ref 19679 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 19678 remove nil cons cons 1025 remove cons nil cons cons 469 ref subst eqMp eqMp nil 399 ref 19677 remove nil cons cons 400 ref 19676 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 19675 remove nil cons cons 1027 remove cons nil cons cons 469 ref subst eqMp eqMp 19681 def subst trans appThm trans sym nil 1811 remove 17949 remove 192 ref appTerm 19682 def nil cons cons 1812 remove 17962 remove 192 remove appTerm 19683 def nil cons cons nil cons cons nil cons cons 4445 remove subst sym 620 ref 1131 ref 6181 remove 6186 remove 6187 remove trans appThm nil 1231 remove 6185 ref cons nil cons cons 6049 remove subst trans appThm 2100 remove appThm nil 1003 remove 6183 remove 193 remove appTerm nil cons cons 6185 remove cons nil cons cons 19681 remove subst trans appThm sym 620 remove 625 remove 1131 ref 4388 ref appThm 2114 ref appThm 6589 remove 1361 remove subst 14606 remove trans trans appThm 1131 remove 6180 remove 4388 remove appThm 1243 remove 2114 ref appThm appThm appThm 2114 remove appThm appThm nil 150 remove 180 remove 6593 remove 189 remove 2111 ref appTerm appTerm appTerm 2111 remove appTerm nil cons cons nil cons nil cons cons 1506 remove subst trans appThm 1507 remove trans sym 154 remove eqMp eqMp nil 435 ref 77 ref 19683 remove appTerm nil cons cons 437 ref 77 remove 19682 remove appTerm nil cons cons nil cons cons nil cons cons 6394 remove subst proveHyp eqMp eqMp eqMp 19671 remove proveHyp eqMp nil 3407 ref 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp 1967 remove 2184 remove appTerm 19684 def betaConv 1970 remove nil 1971 remove 400 ref 19684 remove nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 609 remove 1972 remove 611 remove 3406 remove cons nil cons cons nil cons cons 469 remove subst eqMp eqMp nil 3407 remove 437 ref 2514 remove cons 19673 remove cons cons nil cons cons 1571 remove subst proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 13517 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 ref 13515 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13361 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13362 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13361 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13511 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13363 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13364 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13363 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13507 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 13365 ref 653 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13366 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13365 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13503 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 13367 ref 653 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13368 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13367 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13499 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 13369 ref 653 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13370 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13369 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13495 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 13371 ref 653 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13372 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13371 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13491 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13373 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13374 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13373 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13487 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13375 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13376 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13375 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13483 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13377 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13378 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13377 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13479 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13379 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13380 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13379 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13475 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13381 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13382 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13381 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13471 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13383 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13384 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13383 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13467 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13385 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13386 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13385 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13463 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13387 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13388 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13387 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13459 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13389 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13390 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13389 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13455 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13391 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13392 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13391 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13451 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13393 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13394 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13393 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13447 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13395 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13396 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13395 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13443 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13397 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13398 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13397 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13439 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 13399 ref 653 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13400 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13399 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13435 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 13401 ref 653 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13402 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13401 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13431 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 ref 470 ref 41 ref 13403 ref 653 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13404 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 ref 156 ref 13403 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13427 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 11 remove 470 remove 41 ref 13405 ref 653 remove appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13406 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 158 remove 156 remove 13405 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13423 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13407 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13408 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13407 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13419 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 ref 460 ref 41 ref 13409 ref 589 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13410 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 ref 5 ref 13409 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13415 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 34 remove 460 remove 41 ref 13411 ref 589 remove appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13412 remove appTerm 12982 ref appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 126 remove 5 remove 13411 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp eqMp nil 435 ref 13332 remove cons 19655 ref cons nil cons cons 451 ref subst deductAntisym eqMp eqMp absThm eqMp nil 399 ref 17 ref 4831 ref 41 ref 13224 ref 4832 ref appTerm appTerm 12982 ref appTerm absTerm appTerm nil cons cons 400 ref 41 ref 13225 remove appTerm 12982 remove appTerm nil cons cons nil cons cons nil cons cons 459 ref subst proveHyp 162 ref 160 ref 13224 remove nil cons cons 19655 ref cons nil cons cons 688 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 435 ref 13301 remove cons 19655 remove cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp 162 ref 160 ref 12985 remove nil cons cons 2500 remove cons nil cons cons 3525 remove subst proveHyp eqMp nil 435 ref 13067 remove cons 437 remove 13042 remove cons nil cons 19685 def cons nil cons cons 451 ref subst deductAntisym eqMp eqMp eqMp nil 435 remove 13065 remove cons 19685 ref cons nil cons cons 451 remove subst deductAntisym eqMp eqMp absThm eqMp nil 399 remove 17 ref 4831 remove 41 ref 13060 ref 4832 remove appTerm appTerm 12986 ref appTerm absTerm appTerm nil cons cons 400 remove 41 remove 13061 remove appTerm 12986 remove appTerm nil cons cons nil cons cons nil cons cons 459 remove subst proveHyp 162 remove 160 remove 13060 remove nil cons cons 19685 remove cons nil cons cons 688 remove subst eqMp eqMp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 17 remove 13041 remove appTerm thm