path: "vendor/opentheory/data/theories/real-def/real-def.art"
6 version "Data.Bool.!" const 0 def "->" typeOp 1 def 1 ref "Data.Pair.*" typeOp 2 def "HOLLight.hreal" "HOLLight.mk_hreal" "HOLLight.dest_hreal" nil "s" 1 ref "HOLLight.nadd" "HOLLight.mk_nadd" "HOLLight.dest_nadd" nil nil "x" 1 ref "Number.Natural.natural" typeOp nil opType 3 def 3 ref nil cons 4 def cons opType 5 def var 6 def "n" 3 ref var 7 def "Number.Natural.zero" const 3 ref constTerm 8 def absTerm 9 def nil cons 10 def cons nil cons nil cons cons 11 def nil "_16396" 5 ref var 12 def 6 ref varTerm 13 def nil cons 14 def cons nil cons nil cons cons "HOLLight.is_nadd" 12 ref "Data.Bool.?" const 15 def 1 ref 1 ref 3 ref "bool" typeOp nil opType 16 def nil cons 17 def cons opType 18 def 17 ref cons opType 19 def constTerm 20 def "B" 3 ref var 21 def 0 ref 19 ref constTerm 22 def "m" 3 ref var 23 def 22 ref 7 ref "Number.Natural.<=" const 1 ref 3 ref 18 ref nil cons 24 def cons opType 25 def constTerm 26 def "Number.Natural.distance" const 1 ref 3 ref 5 ref nil cons 27 def cons opType 28 def constTerm 29 def "Number.Natural.*" const 28 ref constTerm 30 def 23 ref varTerm 31 def appTerm 32 def 12 ref varTerm 33 def 7 ref varTerm 34 def appTerm appTerm appTerm 30 ref 34 ref appTerm 35 def 33 ref 31 ref appTerm appTerm appTerm appTerm 30 ref 21 ref varTerm 36 def appTerm 37 def "Number.Natural.+" const 28 ref constTerm 38 def 31 ref appTerm 39 def 34 ref appTerm 40 def appTerm 41 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 42 def absTerm 43 def defineConst 44 def pop 45 def pop 44 remove 33 ref refl appThm 43 remove 33 ref appTerm betaConv trans 46 def subst 47 def subst 20 ref refl 48 def 21 ref 22 ref refl 49 def 23 ref 49 ref 7 ref 26 ref refl 50 def 29 ref refl 51 def 32 ref refl 52 def 9 ref 34 ref appTerm betaConv 53 def appThm 23 ref "=" const 54 def 25 ref constTerm 55 def 32 ref 8 ref appTerm appTerm 8 ref appTerm absTerm 56 def 31 ref appTerm 57 def betaConv nil 22 ref 56 ref appTerm 58 def axiom nil "p" 16 ref var 59 def 58 remove nil cons cons "q" 16 ref var 60 def 57 remove nil cons cons nil cons cons nil cons cons 54 ref 1 ref 16 ref 1 ref 16 ref 17 ref cons opType 61 def nil cons cons opType 62 def constTerm 63 def "Data.Bool.==>" const 62 ref constTerm 64 def 59 ref varTerm 65 def appTerm 66 def 60 ref varTerm 67 def appTerm 68 def appTerm 69 def refl 59 ref 60 ref 63 ref "Data.Bool./\\" const 62 ref constTerm 70 def 65 ref appTerm 71 def 67 ref appTerm 72 def appTerm 73 def 65 ref appTerm absTerm 74 def absTerm 75 def 65 ref appTerm betaConv 67 ref refl 76 def appThm 74 remove 67 ref appTerm betaConv trans appThm nil 54 ref 1 ref 62 ref 1 ref 62 ref 17 ref cons opType 77 def nil cons cons opType constTerm 78 def 64 ref appTerm 75 remove appTerm axiom 65 ref refl 79 def appThm 76 ref appThm eqMp 80 def sym 81 def 73 remove refl 60 ref 54 ref 1 ref 77 ref 1 ref 77 remove 17 ref cons opType nil cons cons opType constTerm 82 def "f" 62 ref var 83 def 83 ref varTerm 84 def 65 ref appTerm 67 ref appTerm absTerm 85 def appTerm 83 ref 84 ref "Data.Bool.T" const 16 ref constTerm 86 def appTerm 86 ref appTerm absTerm 87 def appTerm absTerm 88 def 67 ref appTerm betaConv appThm 54 ref 1 ref 61 ref 1 ref 61 ref 17 ref cons opType 89 def nil cons cons opType constTerm 90 def 71 ref appTerm refl 59 ref 88 remove absTerm 91 def 65 ref appTerm betaConv appThm nil 78 ref 70 ref appTerm 91 ref appTerm axiom 92 def 79 remove appThm eqMp 76 ref appThm eqMp 93 def sym 83 ref 84 ref refl nil "t" 16 ref var 94 def 65 ref nil cons 95 def cons nil cons nil cons cons 96 def 63 ref 94 ref varTerm 97 def appTerm 98 def 86 ref appTerm 99 def assume sym nil 86 ref axiom 100 def eqMp 97 ref assume 100 ref deductAntisym deductAntisym 101 def subst 65 ref assume 102 def eqMp appThm nil 94 ref 67 ref nil cons 103 def cons nil cons nil cons cons 104 def 101 ref subst 67 ref assume 105 def eqMp appThm absThm eqMp 106 def nil "P" 16 ref var 107 def 95 ref cons 108 def "Q" 16 ref var 109 def 103 ref cons nil cons 110 def cons nil cons cons 63 ref refl 111 def 83 ref 84 remove 107 ref varTerm 112 def appTerm 113 def 109 ref varTerm 114 def appTerm absTerm 115 def 59 ref 60 ref 65 ref absTerm absTerm 116 def appTerm betaConv 116 ref 112 ref appTerm betaConv 114 ref refl 117 def appThm 60 ref 112 ref absTerm 114 ref appTerm betaConv trans trans appThm 87 ref 116 ref appTerm betaConv 116 ref 86 ref appTerm betaConv 86 ref refl 118 def appThm 60 ref 86 ref absTerm 86 ref appTerm betaConv trans trans appThm 63 ref 70 ref 112 ref appTerm 119 def 114 ref appTerm 120 def appTerm refl 60 ref 82 remove 83 remove 113 remove 67 ref appTerm absTerm appTerm 87 ref appTerm absTerm 114 ref appTerm betaConv appThm 90 ref 119 remove appTerm refl 91 remove 112 ref appTerm betaConv appThm 92 remove 112 ref refl 121 def appThm eqMp 117 ref appThm eqMp 120 remove assume eqMp 122 def 116 remove refl appThm eqMp sym 100 ref eqMp 123 def subst 124 def deductAntisym eqMp 80 remove 68 ref assume 125 def eqMp sym 102 ref eqMp 111 ref 85 remove 59 ref 60 ref 67 ref absTerm 126 def absTerm 127 def appTerm betaConv 127 ref 65 ref appTerm betaConv 76 ref appThm 126 ref 67 ref appTerm betaConv trans trans appThm 87 remove 127 ref appTerm betaConv 127 ref 86 ref appTerm betaConv 118 remove appThm 126 ref 86 ref appTerm betaConv trans trans 128 def appThm 93 remove 72 ref assume eqMp 127 ref refl 129 def appThm eqMp sym 100 ref eqMp 130 def proveHyp 131 def deductAntisym 132 def subst proveHyp "A" 4 ref cons 133 def nil cons 134 def "P" 18 ref var 135 def 56 remove nil cons cons "x" 3 ref var 136 def 31 ref nil cons 137 def cons nil cons 138 def cons nil cons cons nil 59 ref 0 ref 1 ref 1 ref "A" varType 139 def 17 ref cons opType 140 def 17 ref cons opType 141 def constTerm 142 def "P" 140 ref var 143 def varTerm 144 def appTerm 145 def nil cons 146 def cons 60 ref 144 ref "x" 139 ref var 147 def varTerm 148 def appTerm 149 def nil cons 150 def cons nil cons cons nil cons cons 151 def 81 ref subst 151 remove 130 remove 106 remove deductAntisym 152 def subst 63 ref 149 ref appTerm refl 147 ref 86 ref absTerm 153 def 148 ref appTerm betaConv appThm "p" 140 ref var 154 def 54 ref 1 ref 140 ref 141 ref nil cons cons opType constTerm 154 ref varTerm 155 def appTerm 153 remove appTerm absTerm 156 def 144 ref appTerm betaConv 157 def nil 54 ref 1 ref 141 ref 1 ref 141 ref 17 ref cons opType 158 def nil cons cons opType constTerm 159 def 142 ref appTerm 156 remove appTerm axiom 144 ref refl 160 def appThm 161 def 145 ref assume eqMp eqMp 148 ref refl 162 def appThm eqMp sym 100 ref eqMp eqMp nil 107 ref 146 remove cons 109 ref 150 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp 163 def subst eqMp eqMp 164 def trans appThm 35 ref refl 165 def 9 ref 31 ref appTerm betaConv appThm nil 23 ref 34 ref nil cons 166 def cons nil cons 167 def nil cons cons 168 def 164 ref subst trans appThm nil 7 ref 8 ref nil cons 169 def cons 170 def nil cons nil cons cons 171 def 7 ref 55 ref 29 ref 34 ref appTerm 172 def 34 ref appTerm appTerm 8 ref appTerm absTerm 173 def 34 ref appTerm 174 def betaConv nil 22 ref 173 ref appTerm 175 def axiom nil 59 ref 175 remove nil cons cons 60 ref 174 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 173 remove nil cons cons 136 ref 166 ref cons nil cons 176 def cons nil cons cons 163 ref subst eqMp eqMp 177 def subst trans appThm 41 ref refl 178 def appThm nil 7 ref 41 ref nil cons 179 def cons 180 def nil cons nil cons cons nil 94 ref 26 ref 8 ref appTerm 34 ref appTerm 181 def nil cons cons nil cons nil cons cons 101 ref subst 7 ref 181 remove absTerm 182 def 34 ref appTerm 183 def betaConv nil 22 ref 182 ref appTerm 184 def axiom nil 59 ref 184 remove nil cons cons 60 ref 183 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 182 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 185 def subst 186 def trans absThm appThm nil 94 ref 86 ref nil cons 187 def cons nil cons nil cons cons 188 def 134 ref nil nil cons 189 def cons 190 def 94 ref 63 ref 142 ref 147 ref 97 ref absTerm 191 def appTerm appTerm 97 ref appTerm absTerm 192 def 97 ref appTerm 193 def betaConv nil 0 ref 89 ref constTerm 194 def 192 ref appTerm 195 def axiom nil 59 ref 195 remove nil cons cons 60 ref 193 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 17 ref cons nil cons 196 def "P" 61 ref var 197 def 192 remove nil cons cons "x" 16 ref var 198 def 97 ref nil cons 199 def cons nil cons 200 def cons nil cons cons 163 ref subst eqMp eqMp 201 def subst 202 def subst 203 def trans absThm appThm 203 ref trans absThm appThm 188 ref 190 ref 94 ref 63 ref 15 ref 141 ref constTerm 204 def 191 remove appTerm appTerm 97 ref appTerm absTerm 205 def 97 ref appTerm 206 def betaConv nil 194 ref 205 ref appTerm 207 def axiom nil 59 ref 207 remove nil cons cons 60 ref 206 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 205 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp subst 208 def subst 209 def trans trans sym 100 ref eqMp defineTypeOp 210 def pop 211 def pop 212 def pop 213 def pop nil opType 214 def 17 ref cons opType 215 def var 216 def 15 ref 1 ref 215 ref 17 ref cons opType 217 def constTerm 218 def "x" 214 ref var 219 def 54 ref 1 ref 215 ref 217 ref nil cons cons opType constTerm 220 def 216 remove varTerm appTerm "HOLLight.nadd_eq" "_16415" 214 ref var 221 def "_16416" 214 ref var 222 def 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 212 remove 1 ref 214 ref 27 ref cons opType 223 def constTerm 224 def 221 ref varTerm 225 def appTerm 34 ref appTerm appTerm 224 ref 222 ref varTerm 226 def appTerm 34 ref appTerm appTerm appTerm 36 ref appTerm absTerm appTerm absTerm appTerm absTerm 227 def absTerm 228 def defineConst 229 def pop 1 ref 214 ref 215 ref nil cons 230 def cons opType 231 def constTerm 232 def 219 ref varTerm 233 def appTerm 234 def appTerm absTerm appTerm absTerm 235 def 234 ref appTerm betaConv sym "x'" 214 ref var 236 def 220 ref 234 ref appTerm 232 ref 236 ref varTerm 237 def appTerm 238 def appTerm absTerm 239 def 233 ref appTerm betaConv sym 234 ref refl eqMp "A" 214 ref nil cons 240 def cons 241 def nil cons 242 def "P" 215 ref var 243 def 239 remove nil cons cons 219 ref 233 ref nil cons 244 def cons nil cons 245 def cons nil cons cons 63 ref 204 ref 144 ref appTerm 246 def appTerm 247 def refl 154 ref 194 ref 60 ref 64 ref 142 ref 147 ref 64 ref 155 ref 148 ref appTerm 248 def appTerm 249 def 67 ref appTerm absTerm appTerm appTerm 67 ref appTerm absTerm appTerm absTerm 250 def 144 ref appTerm betaConv appThm nil 159 ref 204 ref appTerm 251 def 250 remove appTerm axiom 160 ref appThm eqMp 252 def sym nil 197 ref 109 ref 64 ref 142 ref 147 ref 64 ref 149 ref appTerm 253 def 114 ref appTerm 254 def absTerm 255 def appTerm 256 def appTerm 257 def 114 ref appTerm 258 def absTerm nil cons cons nil cons nil cons cons 196 ref 189 ref cons 259 def 63 ref 145 remove appTerm refl 157 remove appThm 161 remove eqMp sym 260 def subst 261 def subst 109 ref nil 94 ref 258 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 256 ref nil cons 262 def cons 263 def 60 ref 114 ref nil cons 264 def cons nil cons 265 def cons nil cons cons 266 def 81 ref subst 266 ref 152 ref subst nil 59 ref 150 ref cons 265 ref cons nil cons cons 267 def 132 ref subst 268 def 255 ref 148 ref appTerm 269 def betaConv nil 263 ref 60 ref 269 remove nil cons cons nil cons cons nil cons cons 132 ref subst "A" 139 ref nil cons 270 def cons 271 def nil cons 272 def 143 ref 255 remove nil cons cons 273 def 147 ref 148 ref nil cons 274 def cons nil cons 275 def cons nil cons cons 163 ref subst eqMp eqMp 276 def eqMp eqMp nil 107 ref 262 ref cons 277 def 109 ref 264 ref cons nil cons 278 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 279 def subst proveHyp 280 def eqMp defineTypeOp 281 def pop 282 def pop 283 def pop 284 def pop nil opType 285 def 285 ref nil cons 286 def cons 287 def opType 288 def 17 ref cons opType 289 def 17 ref cons opType 290 def constTerm 291 def refl 292 def "x" 288 ref var 293 def 292 ref "y" 288 ref var 294 def nil 294 ref "HOLLight.treal_add" "_16873" 288 ref var 295 def "_16874" 288 ref var 296 def "Data.Pair.," const 297 def 1 ref 285 ref 1 ref 285 ref 288 ref nil cons 298 def cons opType 299 def nil cons cons opType 300 def constTerm 301 def "HOLLight.hreal_add" "x" 285 ref var 302 def "y" 285 ref var 303 def 284 remove 1 ref 215 ref 286 ref cons opType 304 def constTerm 305 def "u" 214 ref var 306 def 218 ref 219 ref 218 ref "y" 214 ref var 307 def 70 ref 232 ref "HOLLight.nadd_add" "_16450" 214 ref var 308 def "_16451" 214 ref var 309 def 213 remove 1 ref 5 ref 240 ref cons opType constTerm 310 def 7 ref 38 ref 224 ref 308 ref varTerm 311 def appTerm 34 ref appTerm appTerm 224 ref 309 ref varTerm 312 def appTerm 34 ref appTerm appTerm absTerm appTerm absTerm 313 def absTerm 314 def defineConst 315 def pop 1 ref 214 ref 1 ref 214 ref 240 ref cons opType 316 def nil cons cons opType 317 def constTerm 318 def 233 ref appTerm 319 def 307 ref varTerm 320 def appTerm 321 def appTerm 322 def 306 ref varTerm 323 def appTerm 324 def appTerm 325 def 70 ref 283 remove 1 ref 285 ref 230 ref cons opType 326 def constTerm 327 def 302 ref varTerm 328 def appTerm 329 def 233 ref appTerm 330 def appTerm 327 ref 303 ref varTerm 331 def appTerm 320 ref appTerm appTerm 332 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 333 def absTerm 334 def defineConst 335 def pop 1 ref 285 ref 1 ref 287 remove opType 336 def nil cons cons opType 337 def constTerm 338 def "Data.Pair.fst" const 339 def 1 ref 288 ref 286 ref cons opType 340 def constTerm 341 def 295 ref varTerm 342 def appTerm appTerm 341 ref 296 ref varTerm 343 def appTerm appTerm appTerm 338 ref "Data.Pair.snd" const 344 def 340 remove constTerm 345 def 342 ref appTerm appTerm 345 ref 343 ref appTerm appTerm appTerm absTerm 346 def absTerm 347 def defineConst 348 def pop 1 ref 288 ref 1 ref 288 ref 298 ref cons opType 349 def nil cons cons opType 350 def constTerm 351 def 294 ref varTerm 352 def appTerm 353 def 293 ref varTerm 354 def appTerm 355 def nil cons cons 293 ref 351 ref 354 ref appTerm 356 def 352 ref appTerm 357 def nil cons 358 def cons nil cons cons nil cons cons 359 def 294 ref 63 ref "HOLLight.treal_eq" "_16948" 288 ref var 360 def "_16949" 288 ref var 361 def 54 ref 1 ref 285 ref 1 ref 285 ref 17 ref cons opType 362 def nil cons 363 def cons opType 364 def constTerm 365 def 338 ref 341 ref 360 ref varTerm 366 def appTerm appTerm 345 ref 361 ref varTerm 367 def appTerm appTerm appTerm 338 ref 341 ref 367 ref appTerm appTerm 345 ref 366 ref appTerm appTerm appTerm absTerm 368 def absTerm 369 def defineConst 370 def pop 1 ref 288 ref 289 ref nil cons 371 def cons opType 372 def constTerm 373 def 354 ref appTerm 374 def 352 ref appTerm 375 def appTerm 376 def 54 ref 1 ref "Number.Real.real" "HOLLight.mk_real" "HOLLight.dest_real" nil "s" 289 ref var 377 def 15 ref 290 ref constTerm 378 def 293 ref 54 ref 1 ref 289 ref 290 ref nil cons cons opType constTerm 379 def 377 remove varTerm appTerm 374 ref appTerm absTerm appTerm absTerm 380 def 374 ref appTerm betaConv sym "x'" 288 ref var 381 def 379 ref 374 ref appTerm 373 ref 381 ref varTerm 382 def appTerm appTerm absTerm 383 def 354 ref appTerm betaConv sym 374 ref refl eqMp "A" 298 ref cons 384 def nil cons 385 def "P" 289 ref var 386 def 383 remove nil cons cons 293 ref 354 ref nil cons 387 def cons nil cons 388 def cons nil cons cons 279 ref subst proveHyp 389 def eqMp defineTypeOp 390 def pop 391 def pop 392 def pop 393 def pop nil opType 394 def 1 ref 394 ref 17 ref cons opType 395 def nil cons 396 def cons opType 397 def constTerm 398 def 393 remove 1 ref 289 ref 394 ref nil cons 399 def cons opType 400 def constTerm 401 def 374 ref appTerm 402 def appTerm 403 def 401 ref 373 ref 352 ref appTerm 404 def appTerm 405 def appTerm appTerm absTerm 406 def 352 ref appTerm 407 def betaConv 293 ref 291 ref 406 ref appTerm 408 def absTerm 409 def 354 ref appTerm 410 def betaConv 111 ref 292 ref 293 ref 293 ref 374 ref 354 ref appTerm 411 def absTerm 412 def 354 ref appTerm 413 def betaConv 414 def absThm appThm appThm 0 ref 1 ref 362 ref 17 ref cons opType 415 def constTerm 416 def refl 417 def "a" 285 ref var 418 def 417 ref "b" 285 ref var 419 def 412 ref 301 ref 418 ref varTerm 420 def appTerm 419 ref varTerm 421 def appTerm 422 def appTerm betaConv absThm appThm absThm appThm appThm nil "p" 289 ref var 423 def 412 ref nil cons 424 def cons nil cons nil cons cons "A" 286 ref cons 425 def "B" 286 ref cons 426 def nil cons cons 189 ref cons 427 def "p" 1 ref 2 remove 139 ref "B" varType 428 def nil cons 429 def cons 430 def opType 431 def 17 ref cons opType 432 def var 433 def 63 ref 0 ref 1 ref 432 ref 17 ref cons opType 434 def constTerm 435 def "x" 431 ref var 436 def 433 remove varTerm 437 def 436 ref varTerm 438 def appTerm absTerm appTerm appTerm 142 ref "a" 139 ref var 439 def 0 ref 1 ref 1 ref 428 ref 17 ref cons opType 440 def 17 ref cons opType 441 def constTerm 442 def "b" 428 ref var 443 def 437 ref 297 remove 1 ref 139 ref 1 ref 428 ref 431 ref nil cons cons opType nil cons cons opType constTerm 444 def 439 ref varTerm 445 def appTerm 443 ref varTerm 446 def appTerm 447 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 448 def 437 ref appTerm 449 def betaConv nil 0 ref 1 ref 434 ref 17 ref cons opType constTerm 448 ref appTerm 450 def axiom nil 59 ref 450 remove nil cons cons 60 ref 449 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 432 ref nil cons 451 def cons nil cons "P" 434 remove var 448 remove nil cons cons "x" 432 remove var 437 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst 452 def subst eqMp 417 ref 418 ref 417 ref 419 ref nil "y2" 285 ref var 453 def 421 ref nil cons 454 def cons 455 def "x2" 285 ref var 456 def 420 ref nil cons 457 def cons 458 def "y1" 285 ref var 459 def 454 ref cons "x1" 285 ref var 460 def 457 ref cons nil cons cons 461 def cons cons nil cons cons 462 def nil 360 remove 301 ref 460 ref varTerm 463 def appTerm 464 def 459 ref varTerm 465 def appTerm 466 def nil cons 467 def cons 361 remove 301 ref 456 ref varTerm 468 def appTerm 453 ref varTerm 469 def appTerm 470 def nil cons 471 def cons nil cons cons nil cons cons 370 remove 366 ref refl appThm 369 remove 366 remove appTerm betaConv trans 367 ref refl appThm 368 remove 367 remove appTerm betaConv trans subst 63 ref "_16965" 285 ref var 472 def 365 ref 338 ref 463 ref appTerm 473 def 472 ref varTerm 474 def appTerm appTerm 475 def 338 ref 468 ref appTerm 476 def 465 ref appTerm 477 def appTerm absTerm 469 ref appTerm 478 def appTerm refl 472 ref 365 ref 338 ref 341 ref 466 ref appTerm 479 def appTerm 480 def 474 ref appTerm appTerm 481 def 338 ref 341 ref 470 ref appTerm 482 def appTerm 345 ref 466 remove appTerm 483 def appTerm 484 def appTerm absTerm 485 def 345 ref 470 remove appTerm 486 def appTerm betaConv appThm 111 ref 478 remove betaConv appThm 365 ref 480 ref 486 ref appTerm 487 def appTerm 484 ref appTerm refl appThm trans 54 ref 1 ref 362 ref 415 ref nil cons cons opType constTerm 488 def "_16964" 285 ref var 489 def 472 ref 475 ref 338 ref 489 ref varTerm appTerm 490 def 465 ref appTerm appTerm absTerm absTerm 468 ref appTerm 491 def appTerm refl 489 ref 472 ref 481 ref 490 ref 483 ref appTerm appTerm absTerm absTerm 492 def 482 ref appTerm betaConv appThm 488 ref refl 493 def 491 remove betaConv appThm 485 remove refl appThm trans 54 ref 1 ref 364 ref 1 ref 364 ref 17 ref cons opType nil cons cons opType constTerm 494 def "_16963" 285 ref var 495 def 489 ref 472 ref 475 remove 490 remove 495 ref varTerm appTerm 496 def appTerm absTerm absTerm absTerm 465 ref appTerm 497 def appTerm refl 495 ref 489 ref 472 ref 481 remove 496 ref appTerm absTerm absTerm absTerm 498 def 483 ref appTerm betaConv appThm 494 ref refl 499 def 497 remove betaConv appThm 492 remove refl appThm trans 54 ref 1 ref 1 ref 285 ref 364 ref nil cons cons opType 500 def 1 ref 500 remove 17 ref cons opType nil cons cons opType constTerm 501 def "_16962" 285 ref var 502 def 495 remove 489 remove 472 remove 365 ref 338 ref 502 remove varTerm appTerm 474 remove appTerm appTerm 496 remove appTerm absTerm absTerm absTerm absTerm 503 def 463 ref appTerm 504 def appTerm refl 503 ref 479 ref appTerm betaConv appThm 501 ref refl 505 def 504 remove betaConv appThm 498 remove refl appThm trans 503 remove refl nil 419 ref 465 ref nil cons 506 def cons 418 ref 463 ref nil cons 507 def cons nil cons cons nil cons cons 508 def 426 remove 425 remove nil cons 509 def cons 189 ref cons 443 ref 54 ref 1 ref 139 ref 140 ref nil cons 510 def cons opType constTerm 511 def 339 remove 1 ref 431 ref 270 ref cons opType constTerm 512 def 447 ref appTerm appTerm 445 ref appTerm absTerm 513 def 446 ref appTerm 514 def betaConv 439 ref 442 ref 513 ref appTerm 515 def absTerm 516 def 445 ref appTerm 517 def betaConv nil 142 ref 516 ref appTerm 518 def axiom nil 59 ref 518 remove nil cons cons 60 ref 517 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 516 remove nil cons cons 147 ref 445 ref nil cons cons nil cons 519 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 515 remove nil cons cons 60 ref 514 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 429 ref cons nil cons 520 def "P" 440 ref var 521 def 513 remove nil cons cons "x" 428 ref var 522 def 446 ref nil cons cons nil cons 523 def cons nil cons cons 163 ref subst eqMp eqMp subst 524 def subst sym 525 def appThm eqMp 508 remove 427 ref 443 ref 54 ref 1 ref 428 ref 440 remove nil cons 526 def cons opType constTerm 527 def 344 remove 1 ref 431 ref 429 remove cons opType constTerm 528 def 447 ref appTerm appTerm 446 ref appTerm absTerm 529 def 446 ref appTerm 530 def betaConv 439 ref 442 ref 529 ref appTerm 531 def absTerm 532 def 445 ref appTerm 533 def betaConv nil 142 ref 532 ref appTerm 534 def axiom nil 59 ref 534 remove nil cons cons 60 ref 533 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 532 remove nil cons cons 519 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 531 remove nil cons cons 60 ref 530 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 520 ref 521 ref 529 remove nil cons cons 523 ref cons nil cons cons 163 ref subst eqMp eqMp subst 535 def subst sym 536 def appThm eqMp nil 419 ref 469 ref nil cons 537 def cons 418 ref 468 ref nil cons 538 def cons nil cons cons nil cons cons 539 def 524 ref subst sym 540 def appThm eqMp 539 remove 535 ref subst sym 541 def appThm eqMp sym trans 542 def subst nil 302 ref 338 ref 420 ref appTerm 543 def 421 ref appTerm 544 def nil cons 545 def cons nil cons nil cons cons 546 def 509 ref 189 ref cons 547 def nil 94 ref 511 ref 148 ref appTerm 548 def 148 ref appTerm nil cons cons nil cons nil cons cons 101 ref subst 162 ref eqMp 549 def subst 550 def subst 551 def trans 552 def absThm appThm 188 ref 547 ref 201 ref subst 553 def subst 554 def trans absThm appThm 554 ref trans trans sym 100 ref eqMp 555 def nil 59 ref 291 ref 412 ref appTerm 556 def nil cons cons 557 def 60 ref 70 ref 291 ref 293 ref 291 ref 294 ref 376 ref 404 ref 354 ref appTerm appTerm absTerm 558 def appTerm 559 def absTerm 560 def appTerm 561 def appTerm 70 ref 291 ref 293 ref 291 ref 294 ref 291 ref "z" 288 ref var 562 def 64 ref 70 ref 375 ref appTerm 404 ref 562 ref varTerm 563 def appTerm 564 def appTerm 565 def appTerm 374 ref 563 ref appTerm 566 def appTerm absTerm 567 def appTerm 568 def absTerm 569 def appTerm 570 def absTerm 571 def appTerm 572 def appTerm 70 ref 0 ref 1 ref 395 ref 17 ref cons opType 573 def constTerm 574 def "a" 394 ref var 575 def 398 ref 401 ref 392 remove 1 ref 394 ref 371 ref cons opType 576 def constTerm 577 def 575 ref varTerm 578 def appTerm appTerm 579 def appTerm 578 ref appTerm 580 def absTerm 581 def appTerm 582 def appTerm 0 ref 1 ref 290 ref 17 ref cons opType 583 def constTerm "r" 289 ref var 584 def 63 ref 378 ref 293 ref 379 ref 584 ref varTerm 585 def appTerm 374 ref appTerm absTerm appTerm appTerm 379 ref 577 ref 401 ref 585 ref appTerm appTerm appTerm 585 ref appTerm 586 def appTerm 587 def absTerm 588 def appTerm 589 def appTerm 590 def appTerm 591 def appTerm 592 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 111 ref 292 ref 293 ref 560 ref 354 ref appTerm 593 def betaConv 594 def absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 560 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 560 remove nil cons 595 def cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 63 ref 373 ref 422 ref appTerm 596 def 352 ref appTerm 597 def appTerm 404 ref 422 ref appTerm appTerm absTerm 598 def 352 ref appTerm betaConv absThm appThm appThm 417 ref "a'" 285 ref var 599 def 417 ref "b'" 285 ref var 600 def 598 ref 301 ref 599 ref varTerm 601 def appTerm 600 ref varTerm 602 def appTerm 603 def appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 598 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 111 ref nil 453 ref 602 ref nil cons 604 def cons 605 def 456 ref 601 ref nil cons 606 def cons 607 def 461 ref cons cons nil cons cons 608 def 542 ref subst 609 def appThm nil 455 ref 458 ref 459 ref 604 ref cons 460 ref 606 ref cons nil cons cons 610 def cons cons nil cons cons 611 def 542 ref subst nil 303 ref 543 ref 602 ref appTerm 612 def nil cons 613 def cons 302 ref 338 ref 601 ref appTerm 614 def 421 ref appTerm 615 def nil cons 616 def cons nil cons 617 def cons nil cons cons 547 ref "y" 139 ref var 618 def 63 ref 548 ref 618 ref varTerm 619 def appTerm 620 def appTerm 621 def 511 ref 619 ref appTerm 622 def 148 ref appTerm 623 def appTerm absTerm 624 def 619 ref appTerm 625 def betaConv 147 ref 142 ref 624 ref appTerm 626 def absTerm 627 def 148 ref appTerm 628 def betaConv nil 142 ref 627 ref appTerm 629 def axiom nil 59 ref 629 remove nil cons cons 60 ref 628 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 627 remove nil cons cons 275 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 626 remove nil cons cons 60 ref 625 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 624 remove nil cons cons 147 ref 619 ref nil cons cons nil cons 630 def cons nil cons cons 163 ref subst eqMp eqMp 631 def subst 632 def subst trans appThm nil 198 ref 365 ref 612 ref appTerm 615 ref appTerm 633 def nil cons 634 def cons nil cons nil cons cons 259 ref 549 ref subst 635 def subst 636 def trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp 637 def nil 59 ref 561 remove nil cons cons 638 def 60 ref 591 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 111 ref 292 ref 293 ref 571 ref 354 ref appTerm 639 def betaConv 640 def absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 571 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 571 remove nil cons 641 def cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 291 ref 562 ref 64 ref 70 ref 597 ref appTerm 564 remove appTerm appTerm 596 ref 563 ref appTerm 642 def appTerm absTerm appTerm absTerm 643 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 643 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 643 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 111 ref 292 ref 562 ref 562 ref 64 ref 70 ref 596 ref 603 ref appTerm 644 def appTerm 373 ref 603 ref appTerm 563 ref appTerm appTerm appTerm 642 remove appTerm absTerm 645 def 563 ref appTerm betaConv absThm appThm appThm 417 ref "a''" 285 ref var 646 def 417 ref "b''" 285 ref var 647 def 645 ref 301 ref 646 ref varTerm 648 def appTerm 647 ref varTerm 649 def appTerm 650 def appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 645 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 646 ref 417 ref 647 ref 64 ref refl 651 def 70 ref refl 652 def 609 ref appThm nil 453 ref 649 ref nil cons 653 def cons 654 def 456 ref 648 ref nil cons 655 def cons 656 def 610 remove cons cons nil cons cons 657 def 542 ref subst appThm appThm nil 654 ref 656 ref 461 ref cons cons nil cons cons 658 def 542 ref subst appThm absThm appThm absThm appThm trans absThm appThm absThm appThm trans absThm appThm absThm appThm trans sym nil "P" 362 ref var 659 def 418 ref 416 ref 419 ref 416 ref 599 ref 416 ref 600 ref 416 ref 646 ref 416 ref 647 ref 64 ref 70 ref 633 ref appTerm 365 ref 614 ref 649 ref appTerm 660 def appTerm 338 ref 648 ref appTerm 661 def 602 ref appTerm 662 def appTerm 663 def appTerm 664 def appTerm 365 ref 543 ref 649 ref appTerm 665 def appTerm 661 ref 421 ref appTerm 666 def appTerm 667 def appTerm 668 def absTerm 669 def appTerm 670 def absTerm 671 def appTerm 672 def absTerm 673 def appTerm 674 def absTerm 675 def appTerm 676 def absTerm 677 def appTerm 678 def absTerm nil cons cons nil cons nil cons cons 547 ref 260 ref subst 679 def subst 418 ref nil 94 ref 678 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 677 remove nil cons cons nil cons nil cons cons 679 ref subst 419 ref nil 94 ref 676 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 675 remove nil cons cons nil cons nil cons cons 679 ref subst 599 ref nil 94 ref 674 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 673 remove nil cons cons nil cons nil cons cons 679 ref subst 600 ref nil 94 ref 672 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 671 remove nil cons cons nil cons nil cons cons 679 ref subst 646 ref nil 94 ref 670 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 669 remove nil cons cons nil cons nil cons cons 679 ref subst 647 ref nil 94 ref 668 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 664 remove nil cons 680 def cons 60 ref 667 ref nil cons 681 def cons nil cons 682 def cons nil cons cons 683 def 81 ref subst 683 remove 152 ref subst 338 ref refl 684 def nil 107 ref 634 ref cons 685 def 109 ref 663 remove nil cons cons nil cons cons nil cons cons 686 def 123 ref subst appThm 686 remove 111 ref 115 remove 127 ref appTerm betaConv 127 remove 112 ref appTerm betaConv 117 ref appThm 126 remove 114 ref appTerm betaConv trans trans appThm 128 remove appThm 122 remove 129 remove appThm eqMp sym 100 ref eqMp 687 def subst appThm nil 59 ref 365 ref 338 ref 612 ref appTerm 660 ref appTerm 688 def appTerm 338 ref 615 ref appTerm 662 ref appTerm 689 def appTerm nil cons cons 682 ref cons nil cons cons 132 ref subst proveHyp 651 ref 365 ref refl 690 def nil 303 ref 660 ref nil cons 691 def cons 302 ref 613 ref cons nil cons 692 def cons nil cons cons 303 ref 365 ref 338 ref 328 ref appTerm 693 def 331 ref appTerm 694 def appTerm 695 def 338 ref 331 ref appTerm 696 def 328 ref appTerm 697 def appTerm 698 def absTerm 699 def 331 ref appTerm 700 def betaConv 302 ref 416 ref 699 ref appTerm 701 def absTerm 702 def 328 ref appTerm 703 def betaConv 704 def 0 ref 217 ref constTerm 705 def refl 706 def 219 ref 706 ref 307 ref nil 307 ref 318 ref 320 ref appTerm 707 def 233 ref appTerm 708 def nil cons 709 def cons 219 ref 321 ref nil cons 710 def cons nil cons 711 def cons nil cons cons 307 ref 63 ref 234 ref 320 ref appTerm 712 def appTerm 713 def 365 ref 305 ref 234 ref appTerm 714 def appTerm 715 def 305 ref 232 ref 320 ref appTerm 716 def appTerm 717 def appTerm appTerm absTerm 718 def 320 ref appTerm 719 def betaConv 219 ref 705 ref 718 ref appTerm 720 def absTerm 721 def 233 ref appTerm 722 def betaConv nil 243 ref 219 ref 234 ref 233 ref appTerm 723 def absTerm 724 def nil cons cons 725 def nil cons nil cons cons 242 ref 189 ref cons 726 def 260 ref subst 727 def subst 219 ref nil 307 ref 244 ref cons 728 def nil cons nil cons cons 729 def nil 221 remove 244 ref cons 222 remove 320 ref nil cons 730 def cons nil cons cons nil cons cons 229 remove 225 ref refl appThm 228 remove 225 remove appTerm betaConv trans 226 ref refl appThm 227 remove 226 remove appTerm betaConv trans subst 731 def subst 48 ref 21 ref 49 ref 7 ref 50 ref nil 7 ref 224 ref 233 ref appTerm 732 def 34 ref appTerm 733 def nil cons 734 def cons 735 def nil cons 736 def nil cons cons 737 def 177 ref subst 738 def appThm 36 ref refl 739 def appThm nil 7 ref 36 ref nil cons 740 def cons 741 def nil cons 742 def nil cons cons 743 def 185 ref subst 744 def trans absThm appThm 203 ref trans absThm appThm 209 ref trans trans 745 def absThm eqMp 746 def nil 59 ref 705 ref 724 ref appTerm 747 def nil cons 748 def cons 749 def 60 ref 70 ref 705 ref 219 ref 705 ref 307 ref 713 ref 716 ref 233 ref appTerm 750 def appTerm 751 def absTerm 752 def appTerm 753 def absTerm 754 def appTerm 755 def appTerm 70 ref 705 ref 219 ref 705 ref 307 ref 705 ref "z" 214 ref var 756 def 64 ref 70 ref 712 ref appTerm 757 def 716 ref 756 ref varTerm 758 def appTerm 759 def appTerm 760 def appTerm 234 ref 758 ref appTerm 761 def appTerm 762 def absTerm 763 def appTerm 764 def absTerm 765 def appTerm 766 def absTerm 767 def appTerm 768 def appTerm 70 ref 416 ref 418 ref 365 ref 305 ref 327 ref 420 ref appTerm appTerm 769 def appTerm 420 ref appTerm 770 def absTerm 771 def appTerm 772 def appTerm 0 ref 1 ref 217 ref 17 ref cons opType 773 def constTerm "r" 215 ref var 774 def 63 ref 218 ref 219 ref 220 ref 774 ref varTerm 775 def appTerm 234 ref appTerm absTerm appTerm appTerm 220 ref 327 ref 305 ref 775 ref appTerm appTerm appTerm 775 ref appTerm 776 def appTerm 777 def absTerm 778 def appTerm 779 def appTerm 780 def appTerm 781 def appTerm 782 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 243 ref 754 remove nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 753 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 752 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 751 remove nil cons cons nil cons nil cons cons 101 ref subst 111 ref 731 ref appThm nil 728 ref 219 ref 730 ref cons nil cons 783 def cons 784 def nil cons cons 785 def 731 ref subst appThm sym 63 ref 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 733 ref appTerm 786 def 224 ref 320 ref appTerm 787 def 34 ref appTerm 788 def appTerm 789 def appTerm 790 def 36 ref appTerm absTerm appTerm absTerm 791 def appTerm 792 def appTerm refl 48 ref 21 ref 49 ref 7 ref 50 ref nil 735 ref 23 ref 788 ref nil cons 793 def cons nil cons 794 def cons nil cons cons 795 def 7 ref 55 ref 29 ref 31 ref appTerm 796 def 34 ref appTerm 797 def appTerm 798 def 172 ref 31 ref appTerm appTerm absTerm 799 def 34 ref appTerm 800 def betaConv 23 ref 22 ref 799 ref appTerm 801 def absTerm 802 def 31 ref appTerm 803 def betaConv nil 22 ref 802 ref appTerm 804 def axiom nil 59 ref 804 remove nil cons cons 60 ref 803 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 802 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 801 remove nil cons cons 60 ref 800 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 799 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 805 def subst appThm 739 ref appThm absThm appThm absThm appThm appThm sym 792 ref refl eqMp eqMp 806 def eqMp absThm eqMp eqMp absThm eqMp 807 def nil 59 ref 755 ref nil cons 808 def cons 809 def 60 ref 781 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 243 ref 767 ref nil cons cons 810 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 766 remove nil cons 811 def cons nil cons nil cons cons 101 ref subst nil 243 ref 765 ref nil cons cons 812 def nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 764 remove nil cons 813 def cons nil cons nil cons cons 101 ref subst nil 243 ref 763 ref nil cons cons 814 def nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 762 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref 652 ref 731 ref appThm nil 307 ref 758 ref nil cons 815 def cons 816 def 783 ref cons nil cons cons 817 def 731 ref subst 818 def appThm appThm nil 816 ref nil cons 819 def nil cons cons 820 def 731 ref subst appThm sym nil 59 ref 70 ref 792 ref appTerm 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 788 ref appTerm 821 def 224 ref 758 ref appTerm 34 ref appTerm 822 def appTerm 823 def appTerm 824 def 36 ref appTerm absTerm appTerm absTerm 825 def appTerm 826 def appTerm nil cons 827 def cons 60 ref 20 ref 21 ref 22 ref 7 ref 26 ref 786 ref 822 ref appTerm appTerm 828 def 36 ref appTerm absTerm appTerm absTerm 829 def appTerm 830 def nil cons 831 def cons nil cons 832 def cons nil cons cons 833 def 81 ref subst 833 remove 152 ref subst nil 107 ref 792 ref nil cons 834 def cons 109 ref 826 ref nil cons 835 def cons nil cons cons nil cons cons 836 def 123 ref subst 836 remove 687 ref subst nil 59 ref 834 remove cons 832 ref cons nil cons cons 132 ref subst nil 135 ref "B1" 3 ref var 837 def 64 ref 791 ref 837 ref varTerm 838 def appTerm 839 def appTerm 830 ref appTerm 840 def absTerm nil cons cons nil cons nil cons cons 190 ref 260 ref subst 841 def subst 837 ref nil 94 ref 840 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 839 ref nil cons 842 def cons 832 ref cons nil cons cons 843 def 81 ref subst 843 remove 152 ref subst 839 ref betaConv 839 remove assume eqMp nil 59 ref 22 ref 7 ref 790 remove 838 ref appTerm 844 def absTerm 845 def appTerm nil cons 846 def cons 847 def 832 ref cons nil cons cons 848 def 132 ref subst proveHyp 848 ref 81 ref subst 848 remove 152 ref subst nil 59 ref 835 ref cons 832 ref cons nil cons cons 132 ref subst nil 135 ref "B2" 3 ref var 849 def 64 ref 825 ref 849 ref varTerm 850 def appTerm 851 def appTerm 830 ref appTerm 852 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 852 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 851 ref nil cons 853 def cons 832 ref cons nil cons cons 854 def 81 ref subst 854 remove 152 ref subst 851 ref betaConv 851 remove assume eqMp nil 59 ref 22 ref 7 ref 824 remove 850 ref appTerm 855 def absTerm 856 def appTerm nil cons 857 def cons 858 def 832 remove cons nil cons cons 859 def 132 ref subst proveHyp 859 ref 81 ref subst 859 remove 152 ref subst 829 ref 38 ref 838 ref appTerm 860 def 850 ref appTerm 861 def appTerm betaConv sym nil 135 ref 7 ref 828 remove 861 ref appTerm 862 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 862 remove nil cons 863 def cons nil cons nil cons cons 101 ref subst "n'" 3 ref var 864 def 26 ref 38 ref 786 ref 864 ref varTerm 865 def appTerm appTerm 29 ref 865 ref appTerm 866 def 822 ref appTerm appTerm appTerm 861 ref appTerm absTerm 867 def 788 ref appTerm betaConv sym 652 ref nil 94 ref 844 ref nil cons cons nil cons nil cons cons 101 ref subst 845 ref 34 ref appTerm 868 def betaConv nil 847 remove 60 ref 868 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 845 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm nil 94 ref 855 ref nil cons cons nil cons nil cons cons 101 ref subst 856 ref 34 ref appTerm 869 def betaConv nil 858 remove 60 ref 869 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 856 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm 188 ref 94 ref 63 ref 70 ref 86 ref appTerm 870 def 97 ref appTerm appTerm 97 ref appTerm absTerm 871 def 97 ref appTerm 872 def betaConv nil 194 ref 871 ref appTerm 873 def axiom nil 59 ref 873 remove nil cons cons 60 ref 872 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 871 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 874 def subst 875 def trans sym 100 ref eqMp nil 59 ref 70 ref 844 remove appTerm 855 remove appTerm nil cons cons 60 ref 26 ref 38 ref 789 ref appTerm 823 ref appTerm appTerm 861 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil "q" 3 ref var 876 def 850 ref nil cons 877 def cons 878 def "p" 3 ref var 879 def 838 ref nil cons 880 def cons 881 def 7 ref 823 remove nil cons cons 23 ref 789 remove nil cons cons nil cons cons cons cons nil cons cons 876 ref 64 ref 70 ref 26 ref 31 ref appTerm 882 def 879 ref varTerm 883 def appTerm 884 def appTerm 26 ref 34 ref appTerm 885 def 876 ref varTerm 886 def appTerm appTerm appTerm 26 ref 40 ref appTerm 887 def 38 ref 883 ref appTerm 888 def 886 ref appTerm 889 def appTerm appTerm absTerm 890 def 886 ref appTerm 891 def betaConv 879 ref 22 ref 890 ref appTerm 892 def absTerm 893 def 883 ref appTerm 894 def betaConv 7 ref 22 ref 893 ref appTerm 895 def absTerm 896 def 34 ref appTerm 897 def betaConv 23 ref 22 ref 896 ref appTerm 898 def absTerm 899 def 31 ref appTerm 900 def betaConv nil 22 ref 899 ref appTerm 901 def axiom nil 59 ref 901 remove nil cons cons 60 ref 900 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 899 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 898 remove nil cons cons 60 ref 897 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 896 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 895 remove nil cons cons 60 ref 894 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 893 remove nil cons cons 136 ref 883 ref nil cons 902 def cons nil cons 903 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 892 remove nil cons cons 60 ref 891 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 890 remove nil cons cons 136 ref 886 ref nil cons cons nil cons 904 def cons nil cons cons 163 ref subst eqMp eqMp 905 def subst eqMp eqMp 134 ref 135 ref 867 ref nil cons cons 136 ref 793 ref cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 867 remove appTerm nil cons cons 60 ref 863 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil "p'" 3 ref var 906 def 861 ref nil cons 907 def cons 908 def 879 ref 822 ref nil cons 909 def cons 910 def 23 ref 734 ref cons 911 def nil cons 912 def cons cons nil cons cons 906 ref 64 ref 20 ref 7 ref 26 ref 38 ref 797 ref appTerm 172 ref 883 ref appTerm 913 def appTerm 914 def appTerm 915 def 906 ref varTerm 916 def appTerm 917 def absTerm 918 def appTerm 919 def appTerm 920 def 26 ref 796 ref 883 ref appTerm 921 def appTerm 922 def 916 ref appTerm 923 def appTerm 924 def absTerm 925 def 916 ref appTerm 926 def betaConv 879 ref 22 ref 925 ref appTerm 927 def absTerm 928 def 883 ref appTerm 929 def betaConv 23 ref 22 ref 928 ref appTerm 930 def absTerm 931 def 31 ref appTerm 932 def betaConv nil 135 ref 7 ref 22 ref 23 ref 22 ref 879 ref 22 ref 906 ref 64 ref 917 ref appTerm 923 ref appTerm absTerm 933 def appTerm 934 def absTerm 935 def appTerm 936 def absTerm 937 def appTerm 938 def absTerm 939 def nil cons cons 940 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 938 remove nil cons 941 def cons nil cons nil cons cons 101 ref subst nil 135 ref 937 ref nil cons cons 942 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 936 remove nil cons 943 def cons nil cons nil cons cons 101 ref subst nil 135 ref 935 ref nil cons cons 944 def nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 934 remove nil cons 945 def cons nil cons nil cons cons 101 ref subst 879 ref 922 ref 914 ref appTerm 946 def absTerm 947 def 883 ref appTerm 948 def betaConv 7 ref 22 ref 947 ref appTerm 949 def absTerm 950 def 34 ref appTerm 951 def betaConv 23 ref 22 ref 950 ref appTerm 952 def absTerm 953 def 31 ref appTerm 954 def betaConv nil 22 ref 953 ref appTerm 955 def axiom nil 59 ref 955 remove nil cons cons 60 ref 954 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 953 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 952 remove nil cons cons 60 ref 951 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 950 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 949 remove nil cons cons 60 ref 948 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 947 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 946 remove nil cons cons 60 ref 945 ref cons nil cons cons nil cons cons 132 ref subst proveHyp nil 7 ref 914 remove nil cons cons 23 ref 921 ref nil cons cons nil cons 956 def cons nil cons cons 7 ref 64 ref 882 ref 34 ref appTerm 957 def appTerm 958 def 22 ref 879 ref 64 ref 885 ref 883 ref appTerm 959 def appTerm 884 ref appTerm 960 def absTerm 961 def appTerm 962 def appTerm 963 def absTerm 964 def 34 ref appTerm 965 def betaConv 23 ref 22 ref 964 ref appTerm 966 def absTerm 967 def 31 ref appTerm 968 def betaConv 49 ref 23 ref 49 ref 7 ref 49 ref 879 ref nil "r" 16 ref var 969 def 884 ref nil cons 970 def cons 60 ref 959 ref nil cons 971 def cons 972 def 59 ref 957 ref nil cons 973 def cons 974 def nil cons cons cons nil cons cons 969 ref 63 ref 64 ref 72 ref appTerm 969 ref varTerm 975 def appTerm 976 def appTerm 66 ref 64 ref 67 ref appTerm 977 def 975 ref appTerm 978 def appTerm 979 def appTerm 980 def absTerm 981 def 975 ref appTerm 982 def betaConv 60 ref 194 ref 981 ref appTerm 983 def absTerm 984 def 67 ref appTerm 985 def betaConv 59 ref 194 ref 984 ref appTerm 986 def absTerm 987 def 65 ref appTerm 988 def betaConv 194 ref refl 989 def 59 ref 989 ref 60 ref 989 ref 969 ref 980 remove assume sym 63 ref 979 remove appTerm 976 remove appTerm 990 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 194 ref 59 ref 194 ref 60 ref 194 ref 969 ref 990 remove absTerm 991 def appTerm 992 def absTerm 993 def appTerm 994 def absTerm 995 def appTerm 996 def axiom 997 def eqMp nil 59 ref 194 ref 987 ref appTerm nil cons cons 60 ref 988 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 987 remove nil cons cons 198 ref 95 ref cons nil cons 998 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 986 remove nil cons cons 60 ref 985 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 984 remove nil cons cons 198 ref 103 ref cons nil cons 999 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 983 remove nil cons cons 60 ref 982 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 981 remove nil cons cons 198 ref 975 ref nil cons 1000 def cons nil cons 1001 def cons nil cons cons 163 ref subst eqMp eqMp subst absThm appThm absThm appThm absThm appThm nil 22 ref 23 ref 22 ref 7 ref 22 ref 879 ref 64 ref 70 ref 957 ref appTerm 1002 def 959 ref appTerm 1003 def appTerm 884 ref appTerm absTerm 1004 def appTerm 1005 def absTerm 1006 def appTerm 1007 def absTerm 1008 def appTerm 1009 def axiom 1010 def eqMp nil 59 ref 22 ref 23 ref 22 ref 7 ref 22 ref 879 ref 958 remove 960 ref appTerm absTerm 1011 def appTerm 1012 def absTerm 1013 def appTerm 1014 def absTerm 1015 def appTerm nil cons 1016 def cons 1017 def 60 ref 22 ref 967 ref appTerm nil cons 1018 def cons nil cons cons nil cons cons 1019 def 132 ref subst proveHyp 1019 ref 81 ref subst 1019 remove 152 ref subst nil 135 ref 967 remove nil cons cons 1020 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 966 remove nil cons 1021 def cons nil cons nil cons cons 101 ref subst nil 135 ref 964 remove nil cons cons 1022 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 963 remove nil cons cons nil cons nil cons cons 101 ref subst nil 974 ref 60 ref 962 remove nil cons 1023 def cons nil cons cons nil cons cons 1024 def 81 ref subst 1024 remove 152 ref subst nil 135 ref 961 remove nil cons cons nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 960 remove nil cons 1025 def cons nil cons nil cons cons 101 ref subst nil 974 ref 60 ref 1025 remove cons nil cons cons nil cons cons 132 ref subst 1011 ref 883 ref appTerm 1026 def betaConv 1013 ref 34 ref appTerm 1027 def betaConv 1015 ref 31 ref appTerm 1028 def betaConv nil 1017 remove 60 ref 1028 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 1015 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1014 remove nil cons cons 60 ref 1027 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 1013 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1012 remove nil cons cons 60 ref 1026 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 1011 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 107 ref 973 ref cons 1029 def 109 ref 1023 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 107 ref 1016 remove cons 109 ref 1018 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 1018 remove cons 60 ref 968 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 1020 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1021 remove cons 60 ref 965 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 1022 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp 1030 def subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 59 ref 22 ref 939 ref appTerm 1031 def nil cons 1032 def cons 1033 def 60 ref 22 ref 931 ref appTerm nil cons 1034 def cons nil cons cons nil cons cons 1035 def 132 ref subst proveHyp 1035 ref 81 ref subst 1035 remove 152 ref subst nil 135 ref 931 remove nil cons cons 1036 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 930 remove nil cons 1037 def cons nil cons nil cons cons 101 ref subst nil 135 ref 928 remove nil cons cons 1038 def nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 927 remove nil cons 1039 def cons nil cons nil cons cons 101 ref subst nil 135 ref 925 remove nil cons cons 1040 def nil cons nil cons cons 841 ref subst 906 ref nil 94 ref 924 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 919 remove nil cons 1041 def cons 1042 def 60 ref 923 ref nil cons 1043 def cons nil cons 1044 def cons nil cons cons 1045 def 81 ref subst 1045 remove 152 ref subst nil 1033 ref 1044 ref cons nil cons cons 1046 def 132 ref subst nil 1042 remove 60 ref 64 ref 1031 remove appTerm 923 ref appTerm 1047 def nil cons 1048 def cons nil cons 1049 def cons nil cons cons 132 ref subst nil 135 ref 7 ref 64 ref 918 ref 34 ref appTerm 1050 def appTerm 1047 ref appTerm 1051 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 1051 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 1050 ref nil cons 1052 def cons 1049 ref cons nil cons cons 1053 def 81 ref subst 1053 remove 152 ref subst 1050 ref betaConv 1050 remove assume eqMp nil 59 ref 917 remove nil cons 1054 def cons 1055 def 1049 remove cons nil cons cons 1056 def 132 ref subst proveHyp 1056 ref 81 ref subst 1056 remove 152 ref subst 1046 ref 81 ref subst 1046 remove 152 ref subst nil 1055 remove 1044 ref cons nil cons cons 132 ref subst 933 ref 916 ref appTerm 1057 def betaConv 935 remove 883 ref appTerm 1058 def betaConv 937 remove 31 ref appTerm 1059 def betaConv 939 remove 34 ref appTerm 1060 def betaConv nil 1033 remove 60 ref 1060 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 940 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 941 remove cons 60 ref 1059 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 942 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 943 remove cons 60 ref 1058 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 944 remove 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 945 remove cons 60 ref 1057 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 933 remove nil cons cons 136 ref 916 ref nil cons cons nil cons 1061 def cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 1032 remove cons 1062 def 109 ref 1043 remove cons nil cons 1063 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 1054 remove cons 109 ref 1048 remove cons nil cons 1064 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 1052 remove cons 1064 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 918 ref 136 ref varTerm 1065 def appTerm appTerm 1047 ref appTerm absTerm appTerm nil cons cons 60 ref 920 remove 1047 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 918 remove nil cons cons 1064 remove cons nil cons cons nil 263 ref 60 ref 64 ref 246 ref appTerm 1066 def 114 ref appTerm nil cons 1067 def cons nil cons cons nil cons cons 1068 def 81 ref subst 1068 remove 152 ref subst nil 59 ref 246 ref nil cons 1069 def cons 1070 def 265 ref cons nil cons cons 1071 def 81 ref subst 1071 remove 152 ref subst 266 remove 132 ref subst 60 ref 64 ref 142 ref 147 ref 253 remove 67 ref appTerm absTerm appTerm appTerm 67 ref appTerm absTerm 1072 def 114 ref appTerm 1073 def betaConv nil 1070 remove 60 ref 194 ref 1072 ref appTerm 1074 def nil cons 1075 def cons nil cons cons nil cons cons 1076 def 132 ref subst 252 remove nil 59 ref 247 remove 1074 ref appTerm nil cons cons 60 ref 1066 remove 1074 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1076 remove nil 59 ref 63 ref 65 ref appTerm 1077 def 67 ref appTerm 1078 def nil cons 1079 def cons 1080 def 60 ref 68 ref nil cons 1081 def cons nil cons 1082 def cons nil cons cons 1083 def 81 ref subst 1083 remove 152 ref subst 81 ref 152 ref 1078 ref assume 1084 def 102 remove eqMp eqMp 124 ref deductAntisym eqMp 1085 def eqMp nil 107 ref 1079 remove cons 1086 def 109 ref 1081 ref cons nil cons 1087 def cons nil cons cons 123 ref subst deductAntisym eqMp 1088 def subst eqMp eqMp nil 59 ref 1075 remove cons 60 ref 1073 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1072 remove nil cons cons 198 ref 264 ref cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 1069 ref cons 1089 def 278 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 277 ref 109 ref 1067 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp 1090 def subst eqMp eqMp eqMp eqMp nil 107 ref 1041 remove cons 1063 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 1062 remove 109 ref 1034 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 1034 remove cons 60 ref 932 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 1036 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1037 remove cons 60 ref 929 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 1038 remove 903 ref cons nil cons cons 163 ref subst eqMp eqMp 1091 def nil 59 ref 1039 remove cons 60 ref 926 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 1040 remove 1061 ref cons nil cons cons 163 ref subst eqMp eqMp 1092 def subst eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 829 remove nil cons cons 136 ref 907 ref cons nil cons 1093 def cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 857 remove cons 109 ref 831 remove cons nil cons 1094 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 853 remove cons 1094 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 825 ref 1065 ref appTerm appTerm 830 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 826 remove appTerm 830 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 825 remove nil cons cons 1094 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 846 remove cons 1094 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 842 remove cons 1094 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 791 ref 1065 ref appTerm appTerm 830 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 792 remove appTerm 830 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 791 remove nil cons cons 1094 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 827 remove cons 1094 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp 1095 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 1096 def nil 59 ref 768 ref nil cons 1097 def cons 1098 def 60 ref 780 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 659 ref 771 remove nil cons cons nil cons nil cons cons 679 ref subst 418 ref nil 94 ref 770 remove nil cons cons nil cons nil cons cons 101 ref subst 690 ref 418 ref 769 remove absTerm 420 ref appTerm betaConv appThm 418 ref 420 ref absTerm 420 ref appTerm betaConv appThm 282 remove 420 ref refl appThm eqMp eqMp absThm eqMp nil 59 ref 772 remove nil cons cons 60 ref 779 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "P" 217 ref var 778 remove nil cons cons nil cons nil cons cons "A" 230 remove cons nil cons 189 ref cons 260 ref subst subst 774 ref nil 94 ref 777 remove nil cons cons nil cons nil cons cons 101 ref subst 111 ref 235 remove 775 ref appTerm 1099 def betaConv appThm 776 ref refl appThm 111 ref 774 ref 776 remove absTerm 775 ref appTerm betaConv appThm 774 ref 1099 remove absTerm 775 ref appTerm betaConv appThm 281 remove 775 remove refl appThm eqMp sym eqMp 1100 def eqMp absThm eqMp eqMp eqMp eqMp eqMp nil 59 ref 70 ref 747 ref appTerm 782 remove appTerm nil cons cons 60 ref 70 ref 705 ref 721 ref appTerm 1101 def appTerm 70 ref 0 ref 1 ref 415 ref 17 ref cons opType constTerm 1102 def 659 ref 63 ref 705 ref 219 ref 659 ref varTerm 1103 def 714 ref appTerm absTerm 1104 def appTerm appTerm 416 ref 302 ref 1103 ref 328 ref appTerm 1105 def absTerm 1106 def appTerm appTerm absTerm 1107 def appTerm 1108 def appTerm 70 ref 1102 ref 659 ref 63 ref 218 ref 1104 remove appTerm appTerm 15 ref 415 ref constTerm 1109 def 1106 remove appTerm 1110 def appTerm absTerm 1111 def appTerm 1112 def appTerm 416 ref 302 ref 365 ref 305 ref 232 ref "select" const 1113 def 1 ref 215 ref 240 ref cons opType constTerm 329 remove appTerm appTerm appTerm appTerm 328 ref appTerm absTerm appTerm 1114 def appTerm 1115 def appTerm 1116 def appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil "R" 231 ref var 232 ref nil cons cons "dest" 326 remove var 327 ref nil cons cons "mk" 304 remove var 305 ref nil cons cons nil cons cons cons nil cons cons "Absty" 286 ref cons "Repty" 240 ref cons nil cons cons 189 ref cons nil 59 ref 70 ref 0 ref 1 ref 1 ref "Repty" varType 1117 def 17 ref cons opType 1118 def 17 ref cons opType 1119 def constTerm 1120 def "x" 1117 ref var 1121 def "R" 1 ref 1117 ref 1118 ref nil cons 1122 def cons opType 1123 def var 1124 def varTerm 1125 def 1121 ref varTerm 1126 def appTerm 1127 def 1126 ref appTerm absTerm appTerm 1128 def appTerm 70 ref 1120 ref 1121 ref 1120 ref "y" 1117 ref var 1129 def 63 ref 1127 ref 1129 ref varTerm 1130 def appTerm 1131 def appTerm 1132 def 1125 ref 1130 ref appTerm 1133 def 1126 ref appTerm 1134 def appTerm absTerm 1135 def appTerm 1136 def absTerm 1137 def appTerm 1138 def appTerm 70 ref 1120 ref 1121 ref 1120 ref 1129 ref 1120 ref "z" 1117 ref var 1139 def 64 ref 70 ref 1131 ref appTerm 1140 def 1133 ref 1139 ref varTerm 1141 def appTerm 1142 def appTerm 1143 def appTerm 1127 ref 1141 ref appTerm 1144 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 1145 def appTerm 70 ref 0 ref 1 ref 1 ref "Absty" varType 1146 def 17 ref cons opType 1147 def 17 ref cons opType 1148 def constTerm 1149 def "a" 1146 ref var 1150 def 54 ref 1 ref 1146 ref 1147 ref nil cons 1151 def cons opType constTerm 1152 def "mk" 1 ref 1118 ref 1146 ref nil cons 1153 def cons opType 1154 def var 1155 def varTerm 1156 def "dest" 1 ref 1146 ref 1122 ref cons opType 1157 def var 1158 def varTerm 1159 def 1150 remove varTerm 1160 def appTerm appTerm appTerm 1160 remove appTerm absTerm 1161 def appTerm 1162 def appTerm 0 ref 1 ref 1119 ref 17 ref cons opType constTerm 1163 def "r" 1118 ref var 1164 def 63 ref 15 ref 1119 ref constTerm 1165 def 1121 ref 54 ref 1 ref 1118 ref 1119 ref nil cons cons opType constTerm 1166 def 1164 ref varTerm 1167 def appTerm 1168 def 1127 ref appTerm 1169 def absTerm 1170 def appTerm 1171 def appTerm 1166 ref 1159 ref 1156 ref 1167 ref appTerm appTerm appTerm 1167 ref appTerm 1172 def appTerm absTerm appTerm 1173 def appTerm 1174 def appTerm 1175 def appTerm 1176 def appTerm nil cons 1177 def cons 60 ref 70 ref 1120 ref 1121 ref 1120 ref 1129 ref 1132 ref 1152 ref 1156 ref 1127 ref appTerm 1178 def appTerm 1156 ref 1133 ref appTerm 1179 def appTerm 1180 def appTerm 1181 def absTerm appTerm absTerm appTerm 1182 def appTerm 1183 def 70 ref 0 ref 1 ref 1148 ref 17 ref cons opType 1184 def constTerm 1185 def "P" 1147 ref var 1186 def 63 ref 1120 ref 1121 ref 1186 ref varTerm 1187 def 1178 ref appTerm 1188 def absTerm 1189 def appTerm 1190 def appTerm 1149 ref "x" 1146 ref var 1191 def 1187 ref 1191 ref varTerm 1192 def appTerm 1193 def absTerm 1194 def appTerm 1195 def appTerm 1196 def absTerm 1197 def appTerm 1198 def appTerm 1199 def 70 ref 1185 ref 1186 ref 63 ref 1165 ref 1189 ref appTerm 1200 def appTerm 15 ref 1148 ref constTerm 1201 def 1194 ref appTerm 1202 def appTerm absTerm 1203 def appTerm 1204 def appTerm 1149 ref 1191 ref 1152 ref 1156 ref 1125 ref 1113 ref 1 ref 1118 ref 1117 ref nil cons 1205 def cons opType 1206 def constTerm 1207 def 1159 ref 1192 ref appTerm appTerm appTerm appTerm appTerm 1192 ref appTerm absTerm 1208 def appTerm 1209 def appTerm appTerm appTerm nil cons 1210 def cons nil cons 1211 def cons nil cons cons 1212 def 81 ref subst 1212 remove 152 ref subst nil 107 ref 1128 ref nil cons 1213 def cons 1214 def 109 ref 1176 remove nil cons cons nil cons cons nil cons cons 1215 def 123 ref subst 1215 remove 687 ref subst nil 107 ref 1138 ref nil cons 1216 def cons 1217 def 109 ref 1175 remove nil cons cons nil cons cons nil cons cons 1218 def 123 ref subst 1218 remove 687 ref subst nil 107 ref 1145 ref nil cons 1219 def cons 1220 def 109 ref 1174 remove nil cons cons nil cons cons nil cons cons 1221 def 123 ref subst 1221 remove 687 ref subst nil 107 ref 1162 ref nil cons 1222 def cons 1223 def 109 ref 1173 ref nil cons 1224 def cons nil cons cons nil cons cons 1225 def 123 ref subst 1225 remove 687 ref subst nil 59 ref 1120 ref 1121 ref 1120 ref 1129 ref 63 ref 1180 ref appTerm 1226 def 1166 ref 1127 ref appTerm 1227 def 1133 ref appTerm 1228 def appTerm 1229 def absTerm 1230 def appTerm 1231 def absTerm 1232 def appTerm 1233 def nil cons 1234 def cons 1235 def nil cons nil cons cons 1077 ref refl 1236 def nil 94 ref "Data.Bool.~" const 61 remove constTerm 1237 def 65 ref appTerm 1238 def nil cons 1239 def cons nil cons nil cons cons 94 ref 63 ref 64 ref 97 ref appTerm 1240 def "Data.Bool.F" const 16 ref constTerm 1241 def appTerm appTerm 1237 ref 97 ref appTerm 1242 def appTerm absTerm 1243 def 97 ref appTerm 1244 def betaConv nil 194 ref 1243 ref appTerm 1245 def axiom nil 59 ref 1245 remove nil cons cons 60 ref 1244 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1243 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1246 def subst appThm sym 1236 remove 96 ref 94 ref 63 ref 1237 ref 1242 ref appTerm appTerm 97 ref appTerm absTerm 1247 def 97 ref appTerm 1248 def betaConv nil 194 ref 1247 ref appTerm 1249 def axiom nil 59 ref 1249 remove nil cons cons 60 ref 1248 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1247 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1250 def subst 1251 def appThm nil 998 ref nil cons cons 635 ref subst trans sym 100 ref eqMp eqMp 1252 def subst sym 1253 def nil 59 ref 1224 ref cons 1254 def 60 ref 64 ref 1237 ref 1233 ref appTerm appTerm 1241 ref appTerm 1255 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 59 ref 1222 remove cons 1256 def 60 ref 64 ref 1173 ref appTerm 1257 def 1255 remove appTerm 1258 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 59 ref 1219 remove cons 1259 def 60 ref 64 ref 1162 remove appTerm 1260 def 1258 remove appTerm 1261 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 59 ref 1216 remove cons 1262 def 60 ref 64 ref 1145 ref appTerm 1263 def 1261 remove appTerm 1264 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 59 ref 1213 remove cons 1265 def 60 ref 64 ref 1138 ref appTerm 1266 def 1264 remove appTerm 1267 def nil cons cons nil cons cons nil cons cons 132 ref subst 1158 ref 64 ref 1128 ref appTerm 1268 def 1267 remove appTerm absTerm 1269 def 1159 ref appTerm 1270 def betaConv 1155 ref 0 ref 1 ref 1 ref 1157 ref 17 ref cons opType 1271 def 17 ref cons opType constTerm 1272 def 1269 ref appTerm 1273 def absTerm 1274 def 1156 ref appTerm 1275 def betaConv 1124 ref 0 ref 1 ref 1 ref 1154 ref 17 ref cons opType 1276 def 17 ref cons opType constTerm 1277 def 1274 ref appTerm 1278 def absTerm 1279 def 1125 ref appTerm 1280 def betaConv 0 ref 1 ref 1 ref 1123 ref 17 ref cons opType 1281 def 17 ref cons opType constTerm 1282 def refl 1283 def 1124 ref 1277 ref refl 1284 def 1155 ref 1272 ref refl 1285 def 1158 ref 1268 ref refl 1286 def 1266 ref refl 1287 def 1263 ref refl 1288 def 1260 ref refl 1289 def 1257 ref refl 1290 def 1253 remove appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm sym nil "P" 1281 remove var 1291 def 1124 ref 1277 ref 1155 ref 1272 ref 1158 ref 1268 ref 1266 ref 1263 ref 1260 ref 1257 ref 1233 ref appTerm 1292 def appTerm 1293 def appTerm 1294 def appTerm 1295 def appTerm 1296 def absTerm 1297 def appTerm 1298 def absTerm 1299 def appTerm 1300 def absTerm nil cons cons nil cons nil cons cons "A" 1123 ref nil cons cons nil cons 1301 def 189 ref cons 260 ref subst 1302 def subst 1124 ref nil 94 ref 1300 remove nil cons cons nil cons nil cons cons 101 ref subst nil "P" 1276 remove var 1303 def 1299 remove nil cons cons nil cons nil cons cons "A" 1154 ref nil cons cons nil cons 1304 def 189 ref cons 260 ref subst 1305 def subst 1155 ref nil 94 ref 1298 remove nil cons cons nil cons nil cons cons 101 ref subst nil "P" 1271 remove var 1306 def 1297 remove nil cons cons nil cons nil cons cons "A" 1157 ref nil cons cons nil cons 1307 def 189 ref cons 260 ref subst 1308 def subst 1158 ref nil 94 ref 1296 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1265 ref 60 ref 1295 remove nil cons 1309 def cons nil cons cons nil cons cons 1310 def 81 ref subst 1310 remove 152 ref subst nil 1262 ref 60 ref 1294 remove nil cons 1311 def cons nil cons cons nil cons cons 1312 def 81 ref subst 1312 remove 152 ref subst nil 1259 ref 60 ref 1293 remove nil cons 1313 def cons nil cons cons nil cons cons 1314 def 81 ref subst 1314 remove 152 ref subst nil 1256 ref 60 ref 1292 remove nil cons 1315 def cons nil cons cons nil cons cons 1316 def 81 ref subst 1316 remove 152 ref subst nil 1254 ref 60 ref 1234 ref cons nil cons cons nil cons cons 1317 def 81 ref subst 1317 remove 152 ref subst nil "P" 1118 ref var 1318 def 1232 ref nil cons cons 1319 def nil cons nil cons cons "A" 1205 ref cons 1320 def nil cons 1321 def 189 ref cons 1322 def 260 ref subst 1323 def subst 1121 ref nil 94 ref 1231 remove nil cons 1324 def cons nil cons nil cons cons 101 ref subst nil 1318 ref 1230 ref nil cons cons 1325 def nil cons nil cons cons 1323 ref subst 1129 ref nil 94 ref 1229 ref nil cons 1326 def cons nil cons nil cons cons 101 ref subst nil 59 ref 1326 remove cons nil cons nil cons cons 1252 ref subst sym nil 59 ref 1237 ref 1229 remove appTerm 1327 def nil cons 1328 def cons 60 ref 1241 ref nil cons 1329 def cons nil cons 1330 def cons nil cons cons 1331 def 81 ref subst 1331 remove 152 ref subst 1163 ref refl 1332 def 1164 ref nil 59 ref 1171 ref nil cons cons 60 ref 1172 ref nil cons cons nil cons 1333 def cons nil cons cons nil 59 ref 1077 ref 1241 ref appTerm 1334 def nil cons 1335 def cons 1336 def 60 ref 63 ref 1078 ref appTerm 70 ref "Data.Bool.\\/" const 62 remove constTerm 1337 def 65 ref appTerm 1338 def 1237 ref 67 ref appTerm 1339 def appTerm appTerm 1337 ref 1238 ref appTerm 1340 def 67 ref appTerm 1341 def appTerm appTerm nil cons 1342 def cons nil cons 1343 def cons nil cons cons 1344 def 81 ref subst 1344 remove 152 ref subst 63 ref "_554" 16 ref var 1345 def 63 ref 63 ref 1345 remove varTerm 1346 def appTerm 67 ref appTerm appTerm 70 ref 1337 ref 1346 ref appTerm 1339 ref appTerm appTerm 1337 ref 1237 ref 1346 remove appTerm appTerm 67 ref appTerm appTerm appTerm absTerm 1347 def 65 ref appTerm 1348 def appTerm refl 1349 def 1347 ref 1241 ref appTerm betaConv appThm 111 ref 1348 remove betaConv appThm 1350 def 63 ref 63 ref 1241 ref appTerm 1351 def 67 ref appTerm 1352 def appTerm 70 ref 1337 ref 1241 ref appTerm 1353 def 1339 ref appTerm appTerm 1337 ref 1237 ref 1241 ref appTerm 1354 def appTerm 1355 def 67 ref appTerm 1356 def appTerm appTerm refl appThm trans 1347 remove refl 1357 def 1334 remove assume 1358 def appThm eqMp sym 111 ref 104 ref 94 ref 63 ref 1351 ref 97 ref appTerm appTerm 1242 ref appTerm absTerm 1359 def 97 ref appTerm 1360 def betaConv nil 194 ref 1359 ref appTerm 1361 def axiom nil 59 ref 1361 remove nil cons cons 60 ref 1360 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1359 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1362 def subst 1363 def appThm 652 ref nil 94 ref 1339 ref nil cons 1364 def cons nil cons nil cons cons 1365 def 94 ref 63 ref 1353 ref 97 ref appTerm appTerm 97 ref appTerm absTerm 1366 def 97 ref appTerm 1367 def betaConv nil 194 ref 1366 ref appTerm 1368 def axiom nil 59 ref 1368 remove nil cons cons 60 ref 1367 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1366 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1369 def subst 1370 def appThm 1337 ref refl 1371 def nil 63 ref 1354 ref appTerm 86 ref appTerm axiom 1372 def appThm 1373 def 76 ref appThm 104 ref 94 ref 63 ref 1337 ref 86 ref appTerm 1374 def 97 ref appTerm appTerm 86 ref appTerm absTerm 1375 def 97 ref appTerm 1376 def betaConv nil 194 ref 1375 ref appTerm 1377 def axiom nil 59 ref 1377 remove nil cons cons 60 ref 1376 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1375 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1378 def subst 1379 def trans 1380 def appThm 1365 ref 94 ref 63 ref 70 ref 97 ref appTerm 1381 def 86 ref appTerm appTerm 97 ref appTerm absTerm 1382 def 97 ref appTerm 1383 def betaConv nil 194 ref 1382 ref appTerm 1384 def axiom nil 59 ref 1384 remove nil cons cons 60 ref 1383 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1382 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1385 def subst trans appThm nil 198 ref 1364 remove cons nil cons nil cons cons 635 ref subst 1386 def trans sym 100 ref eqMp eqMp eqMp nil 107 ref 1335 ref cons 1387 def 109 ref 1342 ref cons nil cons 1388 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 1077 ref 86 ref appTerm 1389 def nil cons 1390 def cons 1391 def 1343 remove cons nil cons cons 1392 def 81 ref subst 1392 remove 152 ref subst 1349 remove "_552" 16 ref var 1393 def 63 ref 63 ref 1393 remove varTerm 1394 def appTerm 67 ref appTerm appTerm 70 ref 1337 ref 1394 ref appTerm 1339 ref appTerm appTerm 1337 ref 1237 ref 1394 remove appTerm appTerm 67 ref appTerm appTerm appTerm absTerm 86 ref appTerm betaConv appThm 1350 remove 63 ref 63 ref 86 ref appTerm 1395 def 67 ref appTerm 1396 def appTerm 70 ref 1374 ref 1339 ref appTerm appTerm 1337 ref 1237 ref 86 ref appTerm 1397 def appTerm 1398 def 67 ref appTerm 1399 def appTerm appTerm refl appThm trans 1357 remove 1389 remove assume 1400 def appThm eqMp sym 111 ref 104 ref 94 ref 63 ref 1395 ref 97 ref appTerm appTerm 97 ref appTerm absTerm 1401 def 97 ref appTerm 1402 def betaConv nil 194 ref 1401 ref appTerm 1403 def axiom nil 59 ref 1403 remove nil cons cons 60 ref 1402 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1401 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1404 def subst 1405 def appThm 652 ref 1365 ref 1378 ref subst 1406 def appThm 1371 ref nil 63 ref 1397 ref appTerm 1241 ref appTerm axiom 1407 def appThm 1408 def 76 ref appThm 104 ref 1369 ref subst 1409 def trans 1410 def appThm 104 ref 874 ref subst 1411 def trans appThm nil 999 ref nil cons cons 635 ref subst 1412 def trans sym 100 ref eqMp eqMp eqMp nil 107 ref 1390 remove cons 1413 def 1388 remove cons nil cons cons 123 ref subst deductAntisym eqMp 94 ref 1337 ref 99 ref appTerm 98 remove 1241 ref appTerm appTerm absTerm 1414 def 65 ref appTerm 1415 def betaConv nil 194 ref 1414 ref appTerm 1416 def axiom 1417 def nil 59 ref 1416 remove nil cons cons 1418 def 60 ref 1415 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1414 ref nil cons cons 1419 def 998 ref cons nil cons cons 163 ref subst eqMp eqMp 1420 def nil 1413 ref 109 ref 1335 remove cons 1421 def "R" 16 ref var 1422 def 1342 remove cons nil cons cons cons nil cons cons nil 59 ref 64 ref 114 ref appTerm 1423 def 1422 ref varTerm 1424 def appTerm 1425 def nil cons cons 60 ref 1424 ref nil cons 1426 def cons nil cons cons nil cons cons 132 ref subst nil 59 ref 64 ref 112 ref appTerm 1427 def 1424 ref appTerm nil cons cons 60 ref 64 ref 1425 remove appTerm 1424 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst 969 ref 64 ref 1427 ref 975 ref appTerm appTerm 1428 def 64 ref 1423 ref 975 ref appTerm appTerm 975 ref appTerm appTerm absTerm 1429 def 1424 remove appTerm 1430 def betaConv 63 ref 1337 ref 112 ref appTerm 1431 def 114 ref appTerm 1432 def appTerm refl 60 ref 194 ref 969 ref 1428 remove 64 ref 978 ref appTerm 975 ref appTerm 1433 def appTerm absTerm appTerm absTerm 114 ref appTerm betaConv appThm 90 ref 1431 remove appTerm refl 59 ref 60 ref 194 ref 969 ref 64 ref 66 ref 975 ref appTerm 1434 def appTerm 1433 remove appTerm absTerm appTerm absTerm absTerm 1435 def 112 ref appTerm betaConv appThm nil 78 remove 1337 ref appTerm 1435 remove appTerm axiom 121 ref appThm eqMp 117 remove appThm eqMp 1436 def 1432 remove assume eqMp nil 59 ref 194 ref 1429 ref appTerm nil cons cons 60 ref 1430 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1429 remove nil cons cons 198 ref 1426 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp 1437 def subst proveHyp proveHyp proveHyp 1438 def subst 652 ref 1371 ref 1165 ref refl 1439 def 1121 ref 1169 ref refl absThm appThm appThm 1237 ref 1172 ref appTerm 1440 def refl 1441 def appThm appThm 1371 ref nil 1318 ref 1170 ref nil cons 1442 def cons nil cons nil cons cons 1322 ref 111 ref 1237 ref refl 1443 def 204 ref refl 1444 def nil "t" 140 ref var 1445 def 144 ref nil cons 1446 def cons nil cons nil cons cons 271 remove "B" 17 ref cons 1447 def nil cons 1448 def cons 189 ref cons 1449 def "t" 1 ref 430 remove opType 1450 def var 1451 def 54 ref 1 ref 1450 ref 1 ref 1450 ref 17 ref cons opType 1452 def nil cons cons opType constTerm 1453 def 1451 ref varTerm 1454 def appTerm 147 ref 1454 ref 148 ref appTerm absTerm 1455 def appTerm 1456 def absTerm 1457 def 1454 ref appTerm 1458 def betaConv 0 ref 1 ref 1452 ref 17 ref cons opType 1459 def constTerm 1460 def refl 1461 def 1451 ref 1456 remove assume sym 1453 ref 1455 remove appTerm 1454 ref appTerm 1462 def assume sym deductAntisym absThm appThm nil 1460 ref 1451 remove 1462 remove absTerm 1463 def appTerm 1464 def axiom 1465 def eqMp nil 59 ref 1460 ref 1457 ref appTerm nil cons cons 60 ref 1458 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 1450 ref nil cons 1466 def cons nil cons 1467 def "P" 1452 remove var 1468 def 1457 remove nil cons cons "x" 1450 ref var 1469 def 1454 ref nil cons cons nil cons 1470 def cons nil cons cons 163 ref subst eqMp eqMp 1471 def subst subst 1472 def appThm appThm appThm 142 ref 147 ref 1237 ref 149 ref appTerm absTerm 1473 def appTerm refl appThm sym nil 154 ref 1446 ref cons nil cons nil cons cons 1474 def 154 ref 63 ref 1237 ref 204 ref 147 ref 248 ref absTerm 1475 def appTerm 1476 def appTerm appTerm 142 ref 147 ref 1237 ref 248 ref appTerm absTerm 1477 def appTerm appTerm absTerm 1478 def 155 ref appTerm 1479 def betaConv nil 0 ref 158 remove constTerm 1480 def 1478 ref appTerm 1481 def axiom nil 59 ref 1481 remove nil cons cons 60 ref 1479 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 510 remove cons nil cons 1482 def "P" 141 ref var 1483 def 1478 remove nil cons cons "x" 140 ref var 1484 def 155 ref nil cons 1485 def cons nil cons 1486 def cons nil cons cons 163 ref subst eqMp eqMp 1487 def subst eqMp 1488 def subst 1489 def subst 1120 ref refl 1490 def 1121 ref 1443 ref 1170 remove 1126 ref appTerm betaConv 1491 def appThm absThm appThm trans appThm 1172 ref refl 1492 def appThm appThm trans absThm appThm 111 ref 1332 ref 1164 ref 652 ref 1164 ref 1337 ref 1171 remove appTerm 1440 ref appTerm absTerm 1493 def 1167 ref appTerm betaConv 1494 def appThm 1164 ref 1337 ref 1120 ref 1121 ref 1237 ref 1169 ref appTerm 1495 def absTerm 1496 def appTerm appTerm 1172 ref appTerm absTerm 1497 def 1167 ref appTerm betaConv 1498 def appThm absThm appThm appThm 652 ref 1332 ref 1164 ref 1494 remove absThm appThm appThm 1332 ref 1164 ref 1498 remove absThm appThm appThm appThm nil "p" 1119 ref var 1493 remove nil cons cons "q" 1119 ref var 1497 ref nil cons cons nil cons cons nil cons cons "A" 1122 ref cons nil cons 1499 def 189 ref cons 1500 def "q" 140 ref var 1501 def 63 ref 142 ref 147 ref 70 ref 248 ref appTerm 1502 def 1501 ref varTerm 1503 def 148 ref appTerm 1504 def appTerm absTerm appTerm 1505 def appTerm 70 ref 142 ref 1475 remove appTerm 1506 def appTerm 142 ref 147 ref 1504 ref absTerm 1507 def appTerm 1508 def appTerm 1509 def appTerm absTerm 1510 def 1503 ref appTerm 1511 def betaConv 154 ref 1480 ref 1510 ref appTerm 1512 def absTerm 1513 def 155 ref appTerm 1514 def betaConv nil 1480 ref 1513 ref appTerm 1515 def axiom nil 59 ref 1515 remove nil cons cons 60 ref 1514 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 1513 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1512 remove nil cons cons 60 ref 1511 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 1510 remove nil cons cons 1484 remove 1503 ref nil cons cons nil cons 1516 def cons nil cons cons 163 ref subst eqMp eqMp 1517 def subst subst eqMp 652 ref 1332 ref 1164 ref 111 ref 1371 ref 1439 ref 1121 ref 1491 ref absThm appThm appThm 1441 ref appThm appThm 1439 ref 1121 ref 1371 ref 1491 remove appThm 1441 remove appThm absThm appThm appThm nil "p" 1118 ref var 1518 def 1442 remove cons 60 ref 1440 ref nil cons cons nil cons cons nil cons cons 1322 ref 60 ref 63 ref 1337 ref 1476 ref appTerm 1519 def 67 ref appTerm appTerm 204 ref 147 ref 1337 ref 248 ref appTerm 1520 def 67 ref appTerm absTerm 1521 def appTerm appTerm absTerm 1522 def 67 ref appTerm 1523 def betaConv 154 ref 194 ref 1522 ref appTerm 1524 def absTerm 1525 def 155 ref appTerm 1526 def betaConv nil 1480 ref 1525 ref appTerm 1527 def axiom nil 59 ref 1527 remove nil cons cons 60 ref 1526 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 1525 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1524 remove nil cons cons 60 ref 1523 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1522 remove nil cons cons 999 ref cons nil cons cons 163 ref subst eqMp eqMp 1528 def subst 1529 def subst eqMp absThm appThm 111 ref 1332 ref 1164 ref 1439 ref 1121 ref 1164 ref 1121 ref 1337 ref 1169 remove appTerm 1440 ref appTerm absTerm 1530 def absTerm 1531 def 1167 ref appTerm betaConv 1532 def 1126 ref refl 1533 def appThm 1530 ref 1126 ref appTerm betaConv trans absThm appThm absThm appThm appThm 15 ref 1 ref 1 ref 1206 ref 17 ref cons opType 1534 def 17 ref cons opType 1535 def constTerm 1536 def refl 1537 def "f" 1206 ref var 1538 def 1332 ref 1164 ref 1532 remove 1538 ref varTerm 1539 def 1167 remove appTerm 1540 def refl appThm 1530 remove 1540 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 1 ref 1118 ref 1122 remove cons opType 1541 def var 1531 remove nil cons cons nil cons nil cons cons "B" 1205 remove cons 1499 ref cons 189 ref cons "r" 1 ref 139 ref 526 remove cons opType 1542 def var 1543 def 63 ref 142 ref 147 ref 15 ref 441 remove constTerm "y" 428 ref var 1544 def 1543 remove varTerm 1545 def 148 ref appTerm 1546 def 1544 ref varTerm 1547 def appTerm absTerm appTerm absTerm appTerm appTerm 15 ref 1459 remove constTerm "f" 1450 ref var 1548 def 142 ref 147 ref 1546 remove 1548 ref varTerm 1549 def 148 ref appTerm 1550 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 1551 def 1545 ref appTerm 1552 def betaConv nil 0 ref 1 ref 1 ref 1542 ref 17 ref cons opType 1553 def 17 ref cons opType constTerm 1554 def 1551 ref appTerm 1555 def axiom nil 59 ref 1555 remove nil cons cons 60 ref 1552 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 1542 ref nil cons cons nil cons 1556 def "P" 1553 remove var 1557 def 1551 remove nil cons cons "x" 1542 ref var 1558 def 1545 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 1559 def subst subst eqMp trans appThm 1163 ref 1497 remove appTerm 1560 def refl 1561 def appThm 111 ref 652 ref 1537 ref 1538 ref 1538 ref 1163 ref 1164 ref 1337 ref 1168 remove 1125 ref 1540 remove appTerm appTerm appTerm 1440 remove appTerm absTerm 1562 def appTerm 1563 def absTerm 1564 def 1539 ref appTerm betaConv 1565 def absThm appThm appThm 1561 ref appThm appThm 1537 remove 1538 ref 652 ref 1565 remove appThm 1561 remove appThm absThm appThm appThm nil "p" 1534 ref var 1564 remove nil cons cons 60 ref 1560 ref nil cons 1566 def cons nil cons cons nil cons cons "A" 1206 ref nil cons cons nil cons 1567 def 189 ref cons 1568 def 60 ref 63 ref 70 ref 1476 ref appTerm 67 ref appTerm appTerm 204 ref 147 ref 1502 ref 67 ref appTerm absTerm appTerm appTerm absTerm 1569 def 67 ref appTerm 1570 def betaConv 154 ref 194 ref 1569 ref appTerm 1571 def absTerm 1572 def 155 ref appTerm 1573 def betaConv nil 1480 ref 1572 ref appTerm 1574 def axiom nil 59 ref 1574 remove nil cons cons 60 ref 1573 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 1572 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1571 remove nil cons cons 60 ref 1570 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1569 remove nil cons cons 999 ref cons nil cons cons 163 ref subst eqMp eqMp 1575 def subst subst eqMp trans trans trans 1173 remove assume eqMp nil 59 ref 1536 remove 1538 ref 70 ref 1563 ref appTerm 1560 remove appTerm 1576 def absTerm 1577 def appTerm 1578 def nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp 1579 def nil "P" 1534 remove var 1580 def 1538 ref 64 ref 1577 ref 1539 ref appTerm 1581 def appTerm 1241 ref appTerm 1582 def absTerm nil cons cons nil cons nil cons cons 1568 remove 260 ref subst subst 1583 def 1538 ref nil 94 ref 1582 remove nil cons cons nil cons nil cons cons 101 ref subst 1584 def nil 59 ref 1581 ref nil cons 1585 def cons 1330 ref cons nil cons cons 1586 def 81 ref subst 1587 def 1586 remove 152 ref subst 1588 def 1581 ref betaConv 1581 remove assume eqMp nil 59 ref 1576 remove nil cons 1589 def cons 1330 ref cons nil cons cons 1590 def 132 ref subst proveHyp 1591 def 1590 ref 81 ref subst 1592 def 1590 remove 152 ref subst 1593 def nil 59 ref 70 ref 1237 ref 1180 ref appTerm 1594 def appTerm 1228 ref appTerm nil cons 1595 def cons 1330 ref cons nil cons cons 1596 def 81 ref subst 1596 remove 152 ref subst nil 107 ref 1594 remove nil cons cons 109 ref 1228 ref nil cons 1597 def cons nil cons cons nil cons cons 1598 def 687 ref subst nil 59 ref 1597 ref cons 1599 def 60 ref 1180 ref nil cons 1600 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_693" 1118 ref var 1601 def 1133 ref nil cons 1602 def cons "_692" 1118 ref var 1603 def 1127 ref nil cons 1604 def cons nil cons cons nil cons cons nil 59 ref 1166 ref 1603 remove varTerm 1605 def appTerm 1601 remove varTerm 1606 def appTerm 1607 def nil cons 1608 def cons 60 ref 1152 ref 1156 ref 1605 remove appTerm appTerm 1156 ref 1606 remove appTerm appTerm nil cons 1609 def cons nil cons cons nil cons cons 1610 def 81 ref subst 1610 remove 152 ref subst 1156 ref refl 1611 def 1607 remove assume appThm eqMp nil 107 ref 1608 remove cons 109 ref 1609 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 1600 ref cons 1612 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 1612 ref nil cons nil cons cons 63 ref 1238 ref appTerm refl 96 remove 1246 ref subst appThm nil 198 ref 1239 remove cons nil cons nil cons cons 635 ref subst trans sym 100 ref eqMp 1613 def subst 1598 remove 123 ref subst eqMp eqMp eqMp nil 107 ref 1595 ref cons 109 ref 1329 ref cons nil cons 1614 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 70 ref 1180 remove appTerm 1237 ref 1228 remove appTerm 1615 def appTerm nil cons 1616 def cons 1330 ref cons nil cons cons 1617 def 81 ref subst 1617 remove 152 ref subst nil 107 ref 1600 remove cons 109 ref 1615 remove nil cons cons nil cons cons nil cons cons 1618 def 123 ref subst nil 1612 ref 60 ref 1166 ref 1159 ref 1178 ref appTerm 1619 def appTerm 1620 def 1159 ref 1179 ref appTerm 1621 def appTerm 1622 def nil cons 1623 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_679" 1146 ref var 1624 def 1179 remove nil cons cons "_678" 1146 ref var 1625 def 1178 ref nil cons cons nil cons cons nil cons cons nil 59 ref 1152 ref 1625 remove varTerm 1626 def appTerm 1624 remove varTerm 1627 def appTerm 1628 def nil cons 1629 def cons 60 ref 1166 ref 1159 ref 1626 remove appTerm appTerm 1159 ref 1627 remove appTerm appTerm nil cons 1630 def cons nil cons cons nil cons cons 1631 def 81 ref subst 1631 remove 152 ref subst 1159 ref refl 1632 def 1628 remove assume appThm eqMp nil 107 ref 1629 remove cons 109 ref 1630 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 1623 remove cons 60 ref 1620 remove 1127 ref appTerm 1633 def nil cons 1634 def cons nil cons 1635 def cons nil cons cons 152 ref subst proveHyp nil "x" 1118 ref var 1636 def 1604 ref cons nil cons nil cons cons 1500 ref 162 ref subst 1637 def subst 1638 def nil 59 ref 1227 remove 1127 ref appTerm nil cons cons 1635 ref cons nil cons cons 132 ref subst proveHyp nil "_655" 1117 ref var 1639 def 1126 ref nil cons 1640 def cons "_654" 1118 ref var 1641 def 1604 ref cons nil cons cons nil cons cons nil "b" 16 ref var 1642 def 1237 ref 1166 ref 1641 ref varTerm 1643 def appTerm 1644 def 1125 ref 1639 ref varTerm 1645 def appTerm appTerm 1646 def appTerm nil cons 1647 def cons "a" 16 ref var 1648 def 1166 ref 1159 ref 1156 ref 1643 ref appTerm appTerm appTerm 1643 ref appTerm 1649 def nil cons 1650 def cons nil cons cons nil cons cons nil 59 ref 63 ref 1648 ref varTerm 1651 def appTerm 1652 def 1241 ref appTerm 1653 def nil cons 1654 def cons 1655 def 60 ref 63 ref 1337 ref 1651 ref appTerm 1656 def 1642 ref varTerm 1657 def appTerm 1658 def appTerm 64 ref 1237 ref 1657 ref appTerm 1659 def appTerm 1660 def 1651 ref appTerm appTerm nil cons 1661 def cons nil cons 1662 def cons nil cons cons 1663 def 81 ref subst 1663 remove 152 ref subst 63 ref "_606" 16 ref var 1664 def 63 ref 1337 ref 1664 remove varTerm 1665 def appTerm 1657 ref appTerm appTerm 1660 ref 1665 remove appTerm appTerm absTerm 1666 def 1651 ref appTerm 1667 def appTerm refl 1668 def 1666 ref 1241 ref appTerm betaConv appThm 111 ref 1667 remove betaConv appThm 1669 def 63 ref 1353 ref 1657 ref appTerm 1670 def appTerm 1660 ref 1241 ref appTerm appTerm refl appThm trans 1666 remove refl 1671 def 1653 remove assume 1672 def appThm eqMp sym 111 ref nil 94 ref 1657 ref nil cons 1673 def cons nil cons nil cons cons 1674 def 1369 ref subst 1675 def appThm nil 94 ref 1659 ref nil cons 1676 def cons nil cons nil cons cons 1677 def 1246 ref subst 1678 def 1674 ref 1250 ref subst 1679 def trans appThm nil 198 ref 1673 ref cons nil cons 1680 def nil cons cons 635 ref subst 1681 def trans sym 100 ref eqMp eqMp eqMp nil 107 ref 1654 ref cons 1682 def 109 ref 1661 ref cons nil cons 1683 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 1652 ref 86 ref appTerm 1684 def nil cons 1685 def cons 1686 def 1662 remove cons nil cons cons 1687 def 81 ref subst 1687 remove 152 ref subst 1668 remove "_604" 16 ref var 1688 def 63 ref 1337 ref 1688 remove varTerm 1689 def appTerm 1657 ref appTerm appTerm 1660 ref 1689 remove appTerm appTerm absTerm 86 ref appTerm betaConv appThm 1669 remove 63 ref 1374 ref 1657 ref appTerm 1690 def appTerm 1660 ref 86 ref appTerm appTerm refl appThm trans 1671 remove 1684 remove assume 1691 def appThm eqMp sym 111 ref 1674 ref 1378 ref subst 1692 def appThm 1677 ref 94 ref 63 ref 1240 ref 86 ref appTerm appTerm 86 ref appTerm absTerm 1693 def 97 ref appTerm 1694 def betaConv nil 194 ref 1693 ref appTerm 1695 def axiom nil 59 ref 1695 remove nil cons cons 60 ref 1694 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1693 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1696 def subst 1697 def appThm 188 ref 1404 ref subst 1698 def trans sym 100 ref eqMp eqMp eqMp nil 107 ref 1685 remove cons 1699 def 1683 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1414 ref 1651 ref appTerm 1700 def betaConv 1417 ref nil 1418 ref 60 ref 1700 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1419 ref 198 ref 1651 ref nil cons 1701 def cons nil cons 1702 def cons nil cons cons 163 ref subst eqMp eqMp 1703 def nil 1699 ref 109 ref 1654 remove cons 1704 def 1422 ref 1661 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 1705 def subst 651 ref nil 1648 ref 1646 remove nil cons cons nil cons nil cons cons nil 94 ref 1701 ref cons nil cons nil cons cons 1706 def 1250 ref subst 1707 def subst appThm 1649 ref refl appThm trans nil 60 ref 1650 remove cons 59 ref 1647 remove cons nil cons cons nil cons cons nil "t2" 16 ref var 1708 def 103 ref cons "t1" 16 ref var 1709 def 95 ref cons nil cons cons 1710 def nil cons cons 1708 ref 63 ref 1337 ref 1709 ref varTerm 1711 def appTerm 1712 def 1708 ref varTerm 1713 def appTerm 1714 def appTerm 1337 ref 1713 ref appTerm 1715 def 1711 ref appTerm appTerm absTerm 1716 def 1713 ref appTerm 1717 def betaConv 1709 ref 194 ref 1716 ref appTerm 1718 def absTerm 1719 def 1711 ref appTerm 1720 def betaConv nil 194 ref 1719 ref appTerm 1721 def axiom nil 59 ref 1721 remove nil cons cons 60 ref 1720 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1719 remove nil cons cons 198 ref 1711 ref nil cons cons nil cons 1722 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1718 remove nil cons cons 60 ref 1717 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1716 remove nil cons cons 198 ref 1713 ref nil cons cons nil cons 1723 def cons nil cons cons 163 ref subst eqMp eqMp subst 1724 def subst 1121 ref 1337 ref 1237 ref 1644 remove 1127 ref appTerm appTerm appTerm 1649 remove appTerm absTerm 1725 def 1645 ref appTerm 1726 def betaConv 1164 ref 1120 ref 1121 ref 1337 ref 1495 remove appTerm 1172 remove appTerm absTerm appTerm absTerm 1727 def 1643 ref appTerm 1728 def betaConv 1332 remove 1164 remove 111 ref 1371 ref 1490 ref 1121 ref 1496 ref 1126 ref appTerm betaConv 1729 def absThm appThm appThm 1492 ref appThm appThm 1490 ref 1121 ref 1371 ref 1729 remove appThm 1492 remove appThm absThm appThm appThm nil 1518 ref 1496 remove nil cons cons 1333 remove cons nil cons cons 1322 ref 60 ref 63 ref 1337 ref 1506 ref appTerm 67 ref appTerm 1730 def appTerm 142 ref 1521 remove appTerm 1731 def appTerm absTerm 1732 def 67 ref appTerm 1733 def betaConv 154 ref 194 ref 1732 ref appTerm 1734 def absTerm 1735 def 155 ref appTerm 1736 def betaConv nil 1480 ref 1735 ref appTerm 1737 def axiom nil 59 ref 1737 remove nil cons cons 60 ref 1736 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 1735 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1734 remove nil cons cons 60 ref 1733 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1732 remove nil cons cons 999 ref cons nil cons cons 163 ref subst eqMp eqMp 1738 def subst subst eqMp absThm appThm nil 107 ref 1563 remove nil cons 1739 def cons 109 ref 1566 remove cons nil cons cons nil cons cons 1740 def 687 ref subst eqMp nil 59 ref 1163 remove 1727 ref appTerm nil cons cons 60 ref 1728 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1499 ref "P" 1119 remove var 1741 def 1727 remove nil cons cons 1636 ref 1643 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1120 ref 1725 ref appTerm nil cons cons 60 ref 1726 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 1725 remove nil cons cons 1121 ref 1645 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp 1742 def subst eqMp 1743 def eqMp nil 59 ref 70 ref 1622 remove appTerm 1633 ref appTerm nil cons cons 60 ref 1166 ref 1621 ref appTerm 1744 def 1127 ref appTerm 1745 def nil cons 1746 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "z" 1118 ref var 1747 def 1604 ref cons "y" 1118 ref var 1748 def 1621 remove nil cons 1749 def cons 1636 ref 1619 ref nil cons cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 1166 ref 1636 ref varTerm appTerm 1750 def 1748 ref varTerm 1751 def appTerm 1752 def appTerm 1753 def appTerm 1754 def 1237 ref 1750 remove 1747 ref varTerm 1755 def appTerm 1756 def appTerm 1757 def appTerm nil cons cons 1648 ref 1166 ref 1751 remove appTerm 1755 remove appTerm 1758 def nil cons 1759 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 1757 remove nil cons 1760 def cons 1648 ref 1753 remove nil cons 1761 def cons nil cons cons nil cons cons nil 1655 ref 60 ref 63 ref 1237 ref 1658 ref appTerm appTerm 70 ref 1237 ref 1651 ref appTerm 1762 def appTerm 1763 def 1659 ref appTerm appTerm nil cons 1764 def cons nil cons 1765 def cons nil cons cons 1766 def 81 ref subst 1766 remove 152 ref subst 63 ref "_610" 16 ref var 1767 def 63 ref 1237 ref 1337 ref 1767 remove varTerm 1768 def appTerm 1657 ref appTerm appTerm appTerm 70 ref 1237 ref 1768 remove appTerm appTerm 1659 ref appTerm appTerm absTerm 1769 def 1651 ref appTerm 1770 def appTerm refl 1771 def 1769 ref 1241 ref appTerm betaConv appThm 111 ref 1770 remove betaConv appThm 1772 def 63 ref 1237 ref 1670 ref appTerm appTerm 70 ref 1354 ref appTerm 1773 def 1659 ref appTerm appTerm refl appThm trans 1769 remove refl 1774 def 1672 ref appThm eqMp sym 111 ref 1443 ref 1675 ref appThm appThm 652 ref 1372 ref appThm 1775 def 1659 ref refl 1776 def appThm 1677 ref 874 ref subst trans appThm nil 198 ref 1676 ref cons nil cons nil cons cons 635 ref subst trans sym 100 ref eqMp eqMp eqMp nil 1682 ref 109 ref 1764 ref cons nil cons 1777 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1686 ref 1765 remove cons nil cons cons 1778 def 81 ref subst 1778 remove 152 ref subst 1771 remove "_608" 16 ref var 1779 def 63 ref 1237 ref 1337 ref 1779 remove varTerm 1780 def appTerm 1657 ref appTerm appTerm appTerm 70 ref 1237 ref 1780 remove appTerm appTerm 1659 ref appTerm appTerm absTerm 86 ref appTerm betaConv appThm 1772 remove 63 ref 1237 ref 1690 ref appTerm appTerm 70 ref 1397 ref appTerm 1781 def 1659 ref appTerm appTerm refl appThm trans 1774 remove 1691 ref appThm eqMp sym 111 ref 1443 ref 1692 ref appThm 1407 ref trans appThm 652 ref 1407 ref appThm 1782 def 1776 remove appThm 1677 remove 94 ref 63 ref 70 ref 1241 ref appTerm 1783 def 97 ref appTerm appTerm 1241 ref appTerm absTerm 1784 def 97 ref appTerm 1785 def betaConv nil 194 ref 1784 ref appTerm 1786 def axiom nil 59 ref 1786 remove nil cons cons 60 ref 1785 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1784 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1787 def subst trans appThm nil 94 ref 1329 ref cons nil cons nil cons cons 1788 def 1362 ref subst 1372 ref trans 1789 def trans sym 100 ref eqMp eqMp eqMp nil 1699 ref 1777 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1703 ref nil 1699 ref 1704 ref 1422 ref 1764 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 1790 def subst 652 ref nil 1648 ref 1752 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 1756 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 1758 remove refl appThm trans 1754 remove refl nil 60 ref 1759 remove cons 1791 def 59 ref 1760 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 1760 remove cons 1791 remove 59 ref 1761 remove cons nil cons cons cons nil cons cons 111 ref nil "t3" 16 ref var 1792 def 1000 ref cons 1793 def 1710 remove cons nil cons cons 1792 ref 63 ref 1712 remove 1715 remove 1792 ref varTerm 1794 def appTerm appTerm 1795 def appTerm 1337 ref 1714 ref appTerm 1794 ref appTerm 1796 def appTerm 1797 def absTerm 1798 def 1794 ref appTerm 1799 def betaConv 1708 ref 194 ref 1798 ref appTerm 1800 def absTerm 1801 def 1713 ref appTerm 1802 def betaConv 1709 ref 194 ref 1801 ref appTerm 1803 def absTerm 1804 def 1711 ref appTerm 1805 def betaConv 989 ref 1709 ref 989 ref 1708 ref 989 remove 1792 ref 1797 remove assume sym 63 ref 1796 remove appTerm 1795 remove appTerm 1806 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 194 ref 1709 ref 194 ref 1708 ref 194 ref 1792 ref 1806 remove absTerm 1807 def appTerm 1808 def absTerm 1809 def appTerm 1810 def absTerm 1811 def appTerm 1812 def axiom 1813 def eqMp nil 59 ref 194 ref 1804 ref appTerm nil cons cons 60 ref 1805 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1804 remove nil cons cons 1722 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1803 remove nil cons cons 60 ref 1802 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1801 remove nil cons cons 1723 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1800 remove nil cons cons 60 ref 1799 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1798 remove nil cons cons 198 ref 1794 ref nil cons cons nil cons 1814 def cons nil cons cons 163 ref subst eqMp eqMp 1815 def subst appThm nil 1793 remove 1708 ref 95 ref cons 1709 ref 103 ref cons nil cons cons cons nil cons cons 1815 remove subst appThm sym 1371 ref 1724 ref appThm 975 ref refl appThm eqMp 1816 def subst trans 1500 remove nil 59 ref 1237 ref 620 ref appTerm 1817 def nil cons 1818 def cons 1819 def 60 ref 1337 ref 1817 remove appTerm 1337 ref 1237 ref 548 ref "z" 139 ref var varTerm 1820 def appTerm appTerm appTerm 622 remove 1820 ref appTerm 1821 def appTerm 1822 def appTerm nil cons 1823 def cons nil cons 1824 def cons nil cons cons 1825 def 81 ref subst 1825 remove 152 ref subst 1371 ref 1443 ref nil 1819 remove 60 ref 621 remove 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 107 ref 620 ref nil cons 1826 def cons 1827 def nil cons nil cons cons nil 59 ref 1237 ref 112 ref appTerm 1828 def nil cons 1829 def cons 60 ref 63 ref 112 ref appTerm 1241 ref appTerm nil cons 1830 def cons nil cons cons nil cons cons 1831 def 81 ref subst 1831 remove 152 ref subst nil 59 ref 112 ref nil cons 1832 def cons 1833 def 1330 ref cons nil cons cons 1085 remove nil 59 ref 1081 ref cons 1834 def 60 ref 977 ref 65 ref appTerm nil cons 1835 def cons nil cons 1836 def cons nil cons cons 152 ref subst proveHyp 977 ref refl 1084 remove appThm sym nil 59 ref 103 ref cons 1837 def 60 ref 103 ref cons nil cons 1838 def cons nil cons cons 1839 def 81 ref subst 1839 remove 152 ref subst 105 remove eqMp nil 107 ref 103 remove cons 110 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp 1840 def eqMp nil 1837 ref 60 ref 95 ref cons nil cons 1841 def cons nil cons cons 132 ref subst nil 107 ref 1081 remove cons 1842 def 109 ref 1835 remove cons nil cons 1843 def cons nil cons cons 1844 def 687 ref subst eqMp 132 ref 1844 remove 123 ref subst eqMp deductAntisym deductAntisym 1845 def subst 63 ref 1828 ref appTerm refl 59 ref 66 ref 1241 ref appTerm absTerm 1846 def 112 ref appTerm betaConv appThm nil 90 remove 1237 ref appTerm 1846 ref appTerm axiom 1847 def 121 remove appThm eqMp 1848 def 1828 remove assume eqMp nil 59 ref 1427 ref 1241 ref appTerm nil cons cons 60 ref 64 ref 1241 ref appTerm 1849 def 112 ref appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 1329 ref cons 60 ref 1832 ref cons nil cons cons nil cons cons 1850 def 81 ref subst 1850 remove 152 ref subst 59 ref 65 ref absTerm 1851 def 112 remove appTerm 1852 def betaConv nil 1351 ref 194 ref 1851 ref appTerm 1853 def appTerm axiom 1241 ref assume eqMp nil 59 ref 1853 remove nil cons cons 60 ref 1852 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1851 remove nil cons cons 198 ref 1832 ref cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 1854 def eqMp nil 107 ref 1329 ref cons 109 ref 1832 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 107 ref 1829 remove cons 109 ref 1830 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp 1855 def subst eqMp appThm 1372 ref trans appThm 1822 ref refl appThm nil 94 ref 1822 remove nil cons cons nil cons nil cons cons 1378 ref subst trans sym 100 ref eqMp eqMp nil 107 ref 1818 ref cons 109 ref 1823 ref cons nil cons 1856 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 1826 ref cons 1824 remove cons nil cons cons 1857 def 81 ref subst 1857 remove 152 ref subst 1371 ref 1443 ref 511 ref refl 1858 def 620 ref assume appThm 1859 def 619 ref refl appThm nil 630 ref nil cons cons 549 ref subst trans appThm 1407 ref trans appThm 1371 ref 1443 ref 1859 remove 1820 remove refl appThm appThm appThm 1821 ref refl appThm appThm nil 94 ref 1337 ref 1237 ref 1821 ref appTerm appTerm 1821 ref appTerm nil cons 1860 def cons nil cons nil cons cons 1369 ref subst trans sym nil 59 ref 63 ref 1821 ref appTerm 1861 def 1241 ref appTerm 1862 def nil cons 1863 def cons 60 ref 1860 ref cons nil cons 1864 def cons nil cons cons 1865 def 81 ref subst 1865 remove 152 ref subst 63 ref "_626" 16 ref var 1866 def 1337 ref 1237 ref 1866 remove varTerm 1867 def appTerm appTerm 1867 remove appTerm absTerm 1868 def 1821 ref appTerm 1869 def appTerm refl 1870 def 1868 ref 1241 ref appTerm betaConv appThm 111 ref 1869 remove betaConv appThm 1871 def 1355 ref 1241 ref appTerm refl appThm trans 1868 remove refl 1872 def 1862 remove assume appThm eqMp sym nil 94 ref 1354 ref nil cons cons nil cons nil cons cons 94 ref 63 ref 1337 ref 97 ref appTerm 1873 def 1241 ref appTerm appTerm 97 ref appTerm absTerm 1874 def 97 ref appTerm 1875 def betaConv nil 194 ref 1874 ref appTerm 1876 def axiom nil 59 ref 1876 remove nil cons cons 60 ref 1875 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1874 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1877 def subst 1372 ref trans sym 100 ref eqMp eqMp eqMp nil 107 ref 1863 ref cons 109 ref 1860 ref cons nil cons 1878 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 1861 remove 86 ref appTerm 1879 def nil cons 1880 def cons 1864 remove cons nil cons cons 1881 def 81 ref subst 1881 remove 152 ref subst 1870 remove "_624" 16 ref var 1882 def 1337 ref 1237 ref 1882 remove varTerm 1883 def appTerm appTerm 1883 remove appTerm absTerm 86 ref appTerm betaConv appThm 1871 remove 1398 ref 86 ref appTerm refl appThm trans 1872 remove 1879 remove assume appThm eqMp sym nil 94 ref 1397 ref nil cons cons nil cons nil cons cons 94 ref 63 ref 1873 ref 86 ref appTerm appTerm 86 ref appTerm absTerm 1884 def 97 ref appTerm 1885 def betaConv nil 194 ref 1884 ref appTerm 1886 def axiom nil 59 ref 1886 remove nil cons cons 60 ref 1885 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1884 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 1887 def subst sym 100 ref eqMp eqMp eqMp nil 107 ref 1880 remove cons 1888 def 1878 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1414 ref 1821 ref appTerm 1889 def betaConv 1417 ref nil 1418 ref 60 ref 1889 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1419 ref 198 ref 1821 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 1888 remove 109 ref 1863 remove cons 1422 ref 1860 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 1827 ref 1856 remove cons nil cons cons 123 ref subst deductAntisym eqMp 94 ref 1873 remove 1242 remove appTerm absTerm 1890 def 620 ref appTerm 1891 def betaConv nil 194 ref 1890 ref appTerm 1892 def axiom 1893 def nil 59 ref 1892 remove nil cons cons 1894 def 60 ref 1891 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1890 ref nil cons cons 1895 def 198 ref 1826 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 1827 remove 109 ref 1818 remove cons 1422 ref 1823 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 1896 def subst eqMp eqMp 1897 def subst eqMp nil 59 ref 1746 remove cons 60 ref 1744 remove 1133 ref appTerm 1898 def nil cons cons nil cons 1899 def cons nil cons cons 152 ref subst proveHyp nil 1636 ref 1602 ref cons nil cons nil cons cons 1637 remove subst nil 59 ref 1166 ref 1133 ref appTerm 1133 ref appTerm nil cons cons 1899 remove cons nil cons cons 132 ref subst proveHyp nil 1639 remove 1130 ref nil cons 1900 def cons 1641 remove 1602 ref cons nil cons cons nil cons cons 1742 remove subst eqMp eqMp nil 59 ref 70 ref 1745 remove appTerm 1898 remove appTerm nil cons cons 60 ref 1597 remove cons nil cons 1901 def cons nil cons cons 132 ref subst proveHyp nil 1747 remove 1602 ref cons 1748 remove 1604 ref cons 1636 ref 1749 remove cons nil cons cons cons nil cons cons 1897 remove subst eqMp nil 1599 ref 1330 ref cons nil cons cons 132 ref subst proveHyp nil 1599 remove nil cons nil cons cons 1613 ref subst 1618 remove 687 ref subst eqMp eqMp eqMp nil 107 ref 1616 remove cons 1902 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 1612 remove 1901 remove cons nil cons cons nil 1336 ref 60 ref 63 ref 1237 ref 1078 remove appTerm appTerm 1903 def 1337 ref 71 ref 1339 ref appTerm 1904 def appTerm 70 ref 1238 remove appTerm 67 ref appTerm appTerm appTerm nil cons 1905 def cons nil cons 1906 def cons nil cons cons 1907 def 81 ref subst 1907 remove 152 ref subst 63 ref "_550" 16 ref var 1908 def 63 ref 1237 ref 63 ref 1908 remove varTerm 1909 def appTerm 67 ref appTerm appTerm appTerm 1337 ref 70 ref 1909 ref appTerm 1339 ref appTerm appTerm 70 ref 1237 ref 1909 remove appTerm appTerm 67 ref appTerm appTerm appTerm absTerm 1910 def 65 ref appTerm 1911 def appTerm refl 1912 def 1910 ref 1241 ref appTerm betaConv appThm 111 ref 1911 remove betaConv appThm 1913 def 63 ref 1237 ref 1352 remove appTerm appTerm 1914 def 1337 ref 1783 ref 1339 ref appTerm 1915 def appTerm 1773 remove 67 ref appTerm appTerm appTerm refl appThm trans 1910 remove refl 1916 def 1358 ref appThm eqMp sym 111 ref 1443 ref 1363 remove appThm 104 ref 1250 remove subst trans appThm 1917 def 1371 ref 1365 ref 1787 ref subst 1918 def appThm 1775 remove 76 ref appThm 1411 ref trans appThm 1409 ref trans appThm 1412 ref trans sym 100 ref eqMp eqMp eqMp nil 1387 ref 109 ref 1905 ref cons nil cons 1919 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1391 ref 1906 remove cons nil cons cons 1920 def 81 ref subst 1920 remove 152 ref subst 1912 remove "_548" 16 ref var 1921 def 63 ref 1237 ref 63 ref 1921 remove varTerm 1922 def appTerm 67 ref appTerm appTerm appTerm 1337 ref 70 ref 1922 ref appTerm 1339 ref appTerm appTerm 70 ref 1237 ref 1922 remove appTerm appTerm 67 ref appTerm appTerm appTerm absTerm 86 ref appTerm betaConv appThm 1913 remove 63 ref 1237 ref 1396 remove appTerm appTerm 1923 def 1337 ref 870 ref 1339 ref appTerm 1924 def appTerm 1781 remove 67 ref appTerm appTerm appTerm refl appThm trans 1916 remove 1400 ref appThm eqMp sym 111 ref 1443 ref 1405 remove appThm appThm 1925 def 1371 ref 1365 ref 874 ref subst 1926 def appThm 1782 remove 76 remove appThm 104 ref 1787 ref subst 1927 def trans appThm 1365 remove 1877 ref subst trans appThm 1386 ref trans sym 100 ref eqMp eqMp eqMp nil 1413 ref 1919 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1420 ref nil 1413 ref 1421 ref 1422 ref 1905 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 1928 def subst 1327 remove assume eqMp nil 1902 remove 109 ref 1595 remove cons 1422 ref 1329 remove cons nil cons 1929 def cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp nil 107 ref 1589 remove cons 1614 ref cons nil cons cons 123 ref subst 1930 def deductAntisym eqMp eqMp eqMp nil 107 ref 1585 remove cons 1614 ref cons nil cons cons 123 ref subst 1931 def deductAntisym eqMp eqMp absThm eqMp nil 59 ref 0 ref 1535 remove constTerm "x" 1206 remove var 1932 def 64 ref 1577 ref 1932 remove varTerm appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 1578 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst 1933 def proveHyp 1567 remove 1580 remove 1577 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst 1934 def eqMp eqMp eqMp nil 107 ref 1328 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 107 ref 1224 remove cons 1935 def 109 ref 1234 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1223 ref 109 ref 1315 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1220 ref 109 ref 1313 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1217 ref 109 ref 1311 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1214 ref 109 ref 1309 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 1282 ref 1279 ref appTerm nil cons cons 60 ref 1280 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1301 ref 1291 ref 1279 remove nil cons cons "x" 1123 remove var 1125 ref nil cons cons nil cons 1936 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1278 remove nil cons cons 60 ref 1275 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1304 ref 1303 ref 1274 remove nil cons cons "x" 1154 remove var 1156 ref nil cons cons nil cons 1937 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1273 remove nil cons cons 60 ref 1270 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1307 ref 1306 ref 1269 remove nil cons cons "x" 1157 remove var 1159 ref nil cons cons nil cons 1938 def cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp 652 ref 1490 ref 1121 ref 1490 ref 1129 ref 1132 ref refl 1939 def 1230 remove 1130 ref appTerm 1940 def betaConv 1232 remove 1126 ref appTerm 1941 def betaConv nil 1235 ref 60 ref 1941 remove nil cons cons nil cons cons nil cons cons 132 ref subst 1321 ref 1319 remove 1121 ref 1640 ref cons nil cons 1942 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1324 remove cons 60 ref 1940 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1325 remove 1121 ref 1900 ref cons nil cons 1943 def cons nil cons cons 163 ref subst eqMp eqMp appThm absThm appThm absThm appThm appThm 1199 remove 1204 ref appTerm 1944 def refl 1945 def appThm sym 652 ref 1490 ref 1121 ref 1490 ref 1129 ref 1939 remove nil "g" 1118 ref var 1602 ref cons "f" 1118 ref var 1946 def 1604 ref cons 1947 def nil cons 1948 def cons nil cons cons 1320 remove 1448 ref cons 189 ref cons 1949 def "g" 1450 ref var 1950 def 63 ref 1453 remove 1549 ref appTerm 1950 ref varTerm 1951 def appTerm 1952 def appTerm 142 ref 147 ref 527 ref 1550 ref appTerm 1953 def 1951 ref 148 ref appTerm appTerm absTerm appTerm 1954 def appTerm absTerm 1955 def 1951 ref appTerm 1956 def betaConv 1548 ref 1460 ref 1955 ref appTerm 1957 def absTerm 1958 def 1549 ref appTerm 1959 def betaConv 1461 ref 1548 ref 1461 ref 1950 ref nil "y" 16 ref var 1954 ref nil cons cons 198 ref 1952 ref nil cons cons nil cons cons nil cons cons 259 ref 631 ref subst subst absThm appThm absThm appThm sym nil 1460 ref 1548 ref 1460 ref 1950 remove 63 ref 1954 remove appTerm 1952 remove appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 59 ref 1460 ref 1958 ref appTerm nil cons cons 60 ref 1959 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1467 ref 1468 ref 1958 remove nil cons cons 1469 ref 1549 ref nil cons cons nil cons 1960 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1957 remove nil cons cons 60 ref 1956 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1467 ref 1468 ref 1955 remove nil cons cons 1469 remove 1951 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 1961 def subst subst appThm absThm appThm absThm appThm appThm 1945 remove appThm sym nil 59 ref 70 ref 1120 ref 1121 ref 1120 ref 1129 ref 1132 remove 1120 ref "x'" 1117 ref var 1962 def 63 ref 1127 ref 1962 ref varTerm 1963 def appTerm 1964 def appTerm 1133 ref 1963 ref appTerm 1965 def appTerm absTerm 1966 def appTerm 1967 def appTerm absTerm 1968 def appTerm absTerm 1969 def appTerm 1970 def appTerm 1944 ref appTerm 1971 def nil cons 1972 def cons nil cons nil cons cons 1252 ref subst sym 1973 def nil 1235 ref 60 ref 64 ref 1237 ref 1971 ref appTerm 1974 def appTerm 1241 ref appTerm 1975 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1254 ref 60 ref 64 ref 1233 remove appTerm 1976 def 1975 remove appTerm 1977 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1256 ref 60 ref 1257 ref 1977 remove appTerm 1978 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1259 ref 60 ref 1260 ref 1978 remove appTerm 1979 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1262 ref 60 ref 1263 ref 1979 remove appTerm 1980 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1265 ref 60 ref 1266 ref 1980 remove appTerm 1981 def nil cons cons nil cons cons nil cons cons 132 ref subst 1158 ref 1268 ref 1981 remove appTerm absTerm 1982 def 1159 ref appTerm 1983 def betaConv 1155 ref 1272 ref 1982 ref appTerm 1984 def absTerm 1985 def 1156 ref appTerm 1986 def betaConv 1124 ref 1277 ref 1985 ref appTerm 1987 def absTerm 1988 def 1125 ref appTerm 1989 def betaConv 1283 ref 1124 ref 1284 ref 1155 ref 1285 ref 1158 ref 1286 ref 1287 ref 1288 ref 1289 ref 1290 ref 1976 ref refl 1990 def 1973 ref appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm sym nil 1291 ref 1124 ref 1277 ref 1155 ref 1272 ref 1158 ref 1268 ref 1266 ref 1263 ref 1260 ref 1257 ref 1976 ref 1971 remove appTerm 1991 def appTerm 1992 def appTerm 1993 def appTerm 1994 def appTerm 1995 def appTerm 1996 def absTerm 1997 def appTerm 1998 def absTerm 1999 def appTerm 2000 def absTerm nil cons cons nil cons nil cons cons 1302 ref subst 1124 ref nil 94 ref 2000 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1303 ref 1999 remove nil cons cons nil cons nil cons cons 1305 ref subst 1155 ref nil 94 ref 1998 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1306 ref 1997 remove nil cons cons nil cons nil cons cons 1308 ref subst 1158 ref nil 94 ref 1996 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1265 ref 60 ref 1995 remove nil cons 2001 def cons nil cons cons nil cons cons 2002 def 81 ref subst 2002 remove 152 ref subst nil 1262 ref 60 ref 1994 remove nil cons 2003 def cons nil cons cons nil cons cons 2004 def 81 ref subst 2004 remove 152 ref subst nil 1259 ref 60 ref 1993 remove nil cons 2005 def cons nil cons cons nil cons cons 2006 def 81 ref subst 2006 remove 152 ref subst nil 1256 ref 60 ref 1992 remove nil cons 2007 def cons nil cons cons nil cons cons 2008 def 81 ref subst 2008 remove 152 ref subst nil 1254 ref 60 ref 1991 remove nil cons 2009 def cons nil cons cons nil cons cons 2010 def 81 ref subst 2010 remove 152 ref subst nil 1235 ref 60 ref 1972 ref cons nil cons cons nil cons cons 2011 def 81 ref subst 2011 remove 152 ref subst 1973 remove nil 59 ref 1974 ref nil cons 2012 def cons 1330 ref cons nil cons cons 2013 def 81 ref subst 2013 remove 152 ref subst nil 59 ref 1970 remove nil cons cons 60 ref 1944 ref nil cons cons nil cons cons nil cons cons nil 1336 ref 60 ref 63 ref 1237 ref 72 remove appTerm appTerm 1340 remove 1339 ref appTerm 2014 def appTerm nil cons 2015 def cons nil cons 2016 def cons nil cons cons 2017 def 81 ref subst 2017 remove 152 ref subst 63 ref "_530" 16 ref var 2018 def 63 ref 1237 ref 70 ref 2018 remove varTerm 2019 def appTerm 67 ref appTerm appTerm appTerm 1337 ref 1237 ref 2019 remove appTerm appTerm 1339 ref appTerm appTerm absTerm 2020 def 65 ref appTerm 2021 def appTerm refl 2022 def 2020 ref 1241 ref appTerm betaConv appThm 111 ref 2021 remove betaConv appThm 2023 def 63 ref 1237 ref 1783 ref 67 ref appTerm appTerm appTerm 1355 ref 1339 ref appTerm 2024 def appTerm refl appThm trans 2020 remove refl 2025 def 1358 ref appThm eqMp sym 111 ref 1443 ref 1927 remove appThm 1372 ref trans appThm 1373 ref 1339 ref refl 2026 def appThm 1406 remove trans 2027 def appThm 1698 ref trans sym 100 ref eqMp eqMp eqMp nil 1387 ref 109 ref 2015 ref cons nil cons 2028 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1391 ref 2016 remove cons nil cons cons 2029 def 81 ref subst 2029 remove 152 ref subst 2022 remove "_528" 16 ref var 2030 def 63 ref 1237 ref 70 ref 2030 remove varTerm 2031 def appTerm 67 ref appTerm appTerm appTerm 1337 ref 1237 ref 2031 remove appTerm appTerm 1339 ref appTerm appTerm absTerm 86 ref appTerm betaConv appThm 2023 remove 63 ref 1237 ref 870 ref 67 ref appTerm appTerm appTerm 1398 ref 1339 ref appTerm 2032 def appTerm refl appThm trans 2025 remove 1400 ref appThm eqMp sym 111 ref 1443 ref 1411 remove appThm appThm 1408 ref 2026 remove appThm 1370 remove trans 2033 def appThm 1386 ref trans sym 100 ref eqMp eqMp eqMp nil 1413 ref 2028 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1420 ref nil 1413 ref 1421 ref 1422 ref 2015 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 2034 def subst 1371 ref nil 1318 ref 1969 ref nil cons cons nil cons nil cons cons 1322 ref 111 ref 1443 ref 142 ref refl 2035 def 1472 remove appThm appThm appThm 204 ref 1473 remove appTerm refl appThm sym 1474 remove 154 ref 63 ref 1237 ref 1506 remove appTerm appTerm 204 ref 1477 remove appTerm appTerm absTerm 2036 def 155 ref appTerm 2037 def betaConv nil 1480 ref 2036 ref appTerm 2038 def axiom nil 59 ref 2038 remove nil cons cons 60 ref 2037 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 2036 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp 2039 def subst eqMp 2040 def subst 2041 def subst 1439 ref 1121 ref 1443 ref 1969 remove 1126 ref appTerm betaConv appThm nil 1318 ref 1968 ref nil cons cons nil cons nil cons cons 2041 ref subst 1439 ref 1129 ref 1443 ref 1968 remove 1130 ref appTerm betaConv appThm nil 59 ref 1131 ref nil cons cons 2042 def 60 ref 1967 remove nil cons cons nil cons cons nil cons cons 1928 ref subst 1371 ref 652 ref 1131 ref refl appThm 2043 def nil 1318 ref 1966 ref nil cons cons nil cons nil cons cons 2041 ref subst 1439 ref 1962 ref 1443 ref 1966 remove 1963 ref appTerm betaConv appThm nil 59 ref 1964 ref nil cons cons 60 ref 1965 ref nil cons cons nil cons cons nil cons cons 2044 def nil 1336 ref 60 ref 1903 remove 70 ref 1338 ref 67 ref appTerm appTerm 2014 remove appTerm appTerm nil cons 2045 def cons nil cons 2046 def cons nil cons cons 2047 def 81 ref subst 2047 remove 152 ref subst 63 ref "_558" 16 ref var 2048 def 63 ref 1237 ref 63 ref 2048 remove varTerm 2049 def appTerm 67 ref appTerm appTerm appTerm 70 ref 1337 ref 2049 ref appTerm 67 ref appTerm appTerm 1337 ref 1237 ref 2049 remove appTerm appTerm 1339 ref appTerm appTerm appTerm absTerm 2050 def 65 ref appTerm 2051 def appTerm refl 2052 def 2050 ref 1241 ref appTerm betaConv appThm 111 ref 2051 remove betaConv appThm 2053 def 1914 remove 70 ref 1353 ref 67 ref appTerm appTerm 2024 remove appTerm appTerm refl appThm trans 2050 remove refl 2054 def 1358 ref appThm eqMp sym 1917 remove 652 ref 1409 remove appThm 2027 remove appThm 104 ref 1385 ref subst trans appThm 1412 ref trans sym 100 ref eqMp eqMp eqMp nil 1387 ref 109 ref 2045 ref cons nil cons 2055 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1391 ref 2046 remove cons nil cons cons 2056 def 81 ref subst 2056 remove 152 ref subst 2052 remove "_556" 16 ref var 2057 def 63 ref 1237 ref 63 ref 2057 remove varTerm 2058 def appTerm 67 ref appTerm appTerm appTerm 70 ref 1337 ref 2058 ref appTerm 67 ref appTerm appTerm 1337 ref 1237 ref 2058 remove appTerm appTerm 1339 ref appTerm appTerm appTerm absTerm 86 ref appTerm betaConv appThm 2053 remove 1923 remove 70 ref 1374 ref 67 ref appTerm appTerm 2032 remove appTerm appTerm refl appThm trans 2054 remove 1400 ref appThm eqMp sym 1925 remove 652 ref 1379 remove appThm 2033 remove appThm 1926 ref trans appThm 1386 ref trans sym 100 ref eqMp eqMp eqMp nil 1413 ref 2055 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1420 ref nil 1413 ref 1421 ref 1422 ref 2045 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp subst trans absThm appThm trans appThm appThm 652 ref 1237 ref 1131 ref appTerm 2059 def refl appThm 2060 def 1490 ref 1962 ref 2044 remove 1438 ref subst absThm appThm appThm appThm trans trans absThm appThm trans trans absThm appThm trans appThm nil 59 ref 1198 ref nil cons 2061 def cons 2062 def 60 ref 1204 remove nil cons 2063 def cons nil cons cons nil cons cons 2034 ref subst 1371 ref nil "P" 1148 ref var 2064 def 1197 ref nil cons cons nil cons nil cons cons "A" 1151 remove cons nil cons 2065 def 189 ref cons 2066 def 2040 ref subst 2067 def subst 15 ref 1184 remove constTerm 2068 def refl 2069 def 1186 ref 1443 ref 1197 remove 1187 ref appTerm betaConv appThm nil 59 ref 1190 ref nil cons 2070 def cons 2071 def 60 ref 1195 ref nil cons 2072 def cons nil cons 2073 def cons nil cons cons 1928 ref subst 1371 ref 652 ref 1490 ref 1121 ref 1188 ref refl absThm 2074 def appThm appThm 2075 def nil 1186 ref 1194 ref nil cons cons 2076 def nil cons nil cons cons 2077 def "A" 1153 remove cons nil cons 2078 def 189 ref cons 2079 def 2040 ref subst subst 1201 ref refl 2080 def 1191 ref 1443 ref 1194 ref 1192 ref appTerm betaConv appThm absThm 2081 def appThm trans appThm appThm 652 ref nil 1318 ref 1189 ref nil cons 2082 def cons 2083 def nil cons nil cons cons 2084 def 2041 remove subst 1439 ref 1121 ref 1443 ref 1189 ref 1126 ref appTerm betaConv 2085 def appThm absThm 2086 def appThm trans appThm 1149 ref refl 2087 def 1191 ref 1193 ref refl absThm 2088 def appThm 2089 def appThm appThm trans trans absThm appThm trans appThm nil 2064 ref 1203 ref nil cons cons nil cons nil cons cons 2067 remove subst 2069 ref 1186 ref 1443 ref 1203 remove 1187 ref appTerm betaConv appThm nil 59 ref 1200 ref nil cons cons 60 ref 1202 ref nil cons cons nil cons cons nil cons cons 1928 ref subst 1371 ref 652 ref 1439 ref 2074 remove appThm appThm 2077 remove 2079 ref 1488 remove subst subst 2087 ref 2081 remove appThm trans appThm appThm 652 ref 2084 remove 1489 ref subst 1490 ref 2086 remove appThm trans appThm 2080 ref 2088 remove appThm appThm appThm trans trans absThm appThm trans appThm trans appThm trans 1371 ref 1439 ref 1121 ref 111 ref 1439 ref 1129 ref 1371 ref 1129 ref 1140 ref 1165 ref 1962 ref 70 ref 1337 ref 1964 ref appTerm 2090 def 1965 ref appTerm appTerm 1337 ref 1237 ref 1964 ref appTerm appTerm 2091 def 1237 ref 1965 ref appTerm 2092 def appTerm appTerm 2093 def absTerm 2094 def appTerm appTerm absTerm 2095 def 1130 ref appTerm betaConv 2096 def appThm 1129 ref 70 ref 2059 ref appTerm 2097 def 1120 ref 1962 ref 70 ref 2090 remove 2092 remove appTerm 2098 def appTerm 2091 remove 1965 remove appTerm 2099 def appTerm absTerm appTerm appTerm absTerm 2100 def 1130 ref appTerm betaConv 2101 def appThm absThm appThm appThm 1371 ref 1439 ref 1129 ref 2096 remove absThm appThm appThm 1439 ref 1129 ref 2101 remove absThm appThm appThm appThm nil 1518 ref 2095 ref nil cons cons "q" 1118 ref var 2102 def 2100 remove nil cons cons nil cons cons nil cons cons 1322 ref 1501 ref 63 ref 204 ref 147 ref 1520 remove 1504 ref appTerm absTerm appTerm 2103 def appTerm 1519 remove 204 ref 1507 remove appTerm 2104 def appTerm 2105 def appTerm absTerm 2106 def 1503 ref appTerm 2107 def betaConv 154 ref 1480 ref 2106 ref appTerm 2108 def absTerm 2109 def 155 ref appTerm 2110 def betaConv nil 1480 ref 2109 ref appTerm 2111 def axiom nil 59 ref 2111 remove nil cons cons 60 ref 2110 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 2109 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2108 remove nil cons cons 60 ref 2107 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 2106 remove nil cons cons 1516 ref cons nil cons cons 163 ref subst eqMp eqMp 2112 def subst 2113 def subst eqMp 1337 ref 1165 ref 2095 remove appTerm 2114 def appTerm refl 1439 ref 1129 ref 2060 remove 111 ref 1490 ref 1962 ref 652 ref 1962 ref 2098 remove absTerm 2115 def 1963 ref appTerm betaConv 2116 def appThm 1962 ref 2099 remove absTerm 2117 def 1963 ref appTerm betaConv 2118 def appThm absThm appThm appThm 652 ref 1490 ref 1962 ref 2116 remove absThm appThm appThm 1490 ref 1962 ref 2118 remove absThm appThm appThm appThm nil 1518 ref 2115 ref nil cons cons 2102 ref 2117 ref nil cons cons nil cons cons nil cons cons 1322 ref 1517 ref subst 2119 def subst eqMp appThm absThm appThm appThm trans absThm appThm 111 ref 1439 ref 1121 ref 1371 ref 1121 ref 2114 remove absTerm 2120 def 1126 ref appTerm betaConv 2121 def appThm 1121 ref 1165 ref 1129 ref 2097 remove 70 ref 1120 ref 2115 remove appTerm appTerm 1120 ref 2117 remove appTerm appTerm appTerm 2122 def absTerm 2123 def appTerm absTerm 2124 def 1126 ref appTerm betaConv 2125 def appThm absThm appThm appThm 1371 ref 1439 ref 1121 ref 2121 remove absThm appThm appThm 1439 ref 1121 ref 2125 ref absThm appThm 2126 def appThm appThm nil 1518 ref 2120 remove nil cons cons 2102 ref 2124 ref nil cons cons nil cons 2127 def cons nil cons cons 2113 remove subst eqMp trans appThm 1371 ref 111 ref 2069 ref 1186 ref 1371 ref 1186 ref 70 ref 1190 ref appTerm 2128 def 1201 ref 1191 ref 1237 ref 1193 ref appTerm 2129 def absTerm 2130 def appTerm appTerm absTerm 2131 def 1187 ref appTerm betaConv 2132 def appThm 1186 ref 70 ref 1165 ref 1121 ref 1237 ref 1188 ref appTerm 2133 def absTerm 2134 def appTerm appTerm 1195 ref appTerm absTerm 2135 def 1187 ref appTerm betaConv 2136 def appThm absThm appThm appThm 1371 ref 2069 ref 1186 ref 2132 remove absThm appThm appThm 2069 ref 1186 ref 2136 remove absThm appThm appThm appThm nil "p" 1148 ref var 2137 def 2131 remove nil cons cons "q" 1148 remove var 2138 def 2135 remove nil cons cons nil cons cons nil cons cons 2066 ref 2112 remove subst 2139 def subst eqMp appThm 111 ref 2069 ref 1186 ref 1371 ref 1186 ref 70 ref 1200 remove appTerm 1149 ref 2130 ref appTerm 2140 def appTerm absTerm 2141 def 1187 ref appTerm betaConv 2142 def appThm 1186 ref 70 ref 1120 ref 2134 ref appTerm 2143 def appTerm 2144 def 1202 remove appTerm absTerm 2145 def 1187 ref appTerm betaConv 2146 def appThm absThm appThm appThm 1371 ref 2069 ref 1186 ref 2142 remove absThm appThm appThm 2069 ref 1186 ref 2146 remove absThm appThm appThm appThm nil 2137 ref 2141 remove nil cons cons 2138 ref 2145 remove nil cons cons nil cons cons nil cons cons 2139 remove subst eqMp appThm appThm 1371 ref 1371 ref 1439 ref 1121 ref 1439 ref 1129 ref 111 ref 2043 ref 1439 ref 1962 ref 2094 ref 1963 ref appTerm betaConv 2147 def absThm appThm appThm appThm 1439 ref 1962 ref 2043 remove 2147 remove appThm absThm appThm appThm nil 2102 ref 2094 remove nil cons cons 2042 ref nil cons cons nil cons cons 1322 ref 1501 ref 63 ref 71 ref 2104 ref appTerm appTerm 204 ref 147 ref 71 ref 1504 ref appTerm absTerm appTerm appTerm absTerm 2148 def 1503 ref appTerm 2149 def betaConv 59 ref 1480 ref 2148 ref appTerm 2150 def absTerm 2151 def 65 ref appTerm 2152 def betaConv nil 194 ref 2151 ref appTerm 2153 def axiom nil 59 ref 2153 remove nil cons cons 60 ref 2152 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 2151 remove nil cons cons 998 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2150 remove nil cons cons 60 ref 2149 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 2148 remove nil cons cons 1516 ref cons nil cons cons 163 ref subst eqMp eqMp 2154 def subst subst eqMp absThm appThm absThm appThm appThm 1165 ref 2124 remove appTerm refl appThm 111 ref 1371 ref 1439 ref 1121 ref 1121 ref 1165 ref 1129 ref 1165 ref 1962 ref 1140 remove 2093 remove appTerm 2155 def absTerm 2156 def appTerm absTerm 2157 def appTerm absTerm 2158 def 1126 ref appTerm betaConv 2159 def absThm appThm appThm 2126 remove appThm appThm 1439 ref 1121 ref 1371 ref 2159 remove appThm 2125 remove appThm absThm appThm appThm nil 1518 ref 2158 remove nil cons cons 2127 remove cons nil cons cons 1322 ref 1501 ref 63 ref 2105 remove appTerm 2103 remove appTerm absTerm 2160 def 1503 ref appTerm 2161 def betaConv 154 ref 1480 ref 2160 ref appTerm 2162 def absTerm 2163 def 155 ref appTerm 2164 def betaConv nil 1480 ref 2163 ref appTerm 2165 def axiom nil 59 ref 2165 remove nil cons cons 60 ref 2164 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 2163 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2162 remove nil cons cons 60 ref 2161 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 2160 remove nil cons cons 1516 ref cons nil cons cons 163 ref subst eqMp eqMp 2166 def subst 2167 def subst eqMp 1439 ref 1121 ref 111 ref 1371 ref 1439 ref 1129 ref 2157 ref 1130 ref appTerm betaConv 2168 def absThm appThm appThm 1439 ref 1129 ref 2123 ref 1130 ref appTerm betaConv 2169 def absThm appThm appThm appThm 1439 ref 1129 ref 1371 ref 2168 remove appThm 2169 remove appThm absThm appThm appThm nil 1518 ref 2157 remove nil cons cons 2102 ref 2123 remove nil cons cons nil cons cons nil cons cons 2167 ref subst eqMp 1439 ref 1129 ref 111 ref 1371 ref 1439 ref 1962 ref 2156 ref 1963 ref appTerm betaConv 2170 def absThm appThm appThm 2122 ref refl 2171 def appThm appThm 1439 ref 1962 ref 1371 ref 2170 remove appThm 2171 remove appThm absThm appThm appThm nil 1518 ref 2156 remove nil cons cons 60 ref 2122 ref nil cons cons nil cons cons nil cons cons 1529 ref subst eqMp absThm appThm trans absThm appThm trans trans appThm 1371 ref 1371 ref 2069 ref 1186 ref 111 ref 2075 ref 2080 ref 1191 ref 2130 ref 1192 ref appTerm betaConv 2172 def absThm appThm appThm appThm 2080 ref 1191 ref 2075 ref 2172 remove appThm absThm appThm appThm nil "q" 1147 ref var 2173 def 2130 ref nil cons 2174 def cons 2071 ref nil cons cons nil cons cons 2079 ref 2154 ref subst 2175 def subst eqMp absThm appThm appThm 2069 ref 1186 ref 111 ref 652 ref 1439 ref 1121 ref 2134 ref 1126 ref appTerm betaConv 2176 def absThm appThm appThm 2089 ref appThm appThm 1439 ref 1121 ref 652 ref 2176 remove appThm 2089 ref appThm absThm appThm appThm nil 1518 ref 2134 ref nil cons 2177 def cons 2073 remove cons nil cons cons 1322 ref 1575 ref subst 2178 def subst eqMp absThm appThm appThm 111 ref 1371 ref 2069 ref 1186 ref 1186 ref 1201 ref 1191 ref 2128 ref 2129 remove appTerm 2179 def absTerm 2180 def appTerm absTerm 2181 def 1187 ref appTerm betaConv 2182 def absThm appThm appThm 2069 ref 1186 ref 1186 ref 1165 ref 1121 ref 70 ref 2133 remove appTerm 1195 ref appTerm 2183 def absTerm 2184 def appTerm 2185 def absTerm 2186 def 1187 ref appTerm betaConv 2187 def absThm appThm appThm appThm 2069 ref 1186 ref 1371 ref 2182 remove appThm 2187 remove appThm absThm appThm appThm nil 2137 ref 2181 remove nil cons cons 2138 ref 2186 remove nil cons cons nil cons cons nil cons cons 2066 ref 2166 ref subst 2188 def subst eqMp 2069 ref 1186 ref 111 ref 1371 ref 2080 ref 1191 ref 2180 ref 1192 ref appTerm betaConv 2189 def absThm appThm appThm 2185 ref refl 2190 def appThm appThm 2080 ref 1191 ref 1371 ref 2189 remove appThm 2190 remove appThm absThm appThm appThm nil "p" 1147 ref var 2191 def 2180 remove nil cons cons 60 ref 2185 remove nil cons cons nil cons cons nil cons cons 2079 ref 1528 remove subst 2192 def subst eqMp 2080 ref 1191 ref 111 ref 1337 ref 2179 ref appTerm 2193 def refl 2194 def 1439 ref 1121 ref 2184 ref 1126 ref appTerm betaConv 2195 def absThm appThm appThm appThm 1439 ref 1121 ref 2194 remove 2195 remove appThm absThm appThm appThm nil 2102 ref 2184 remove nil cons cons 59 ref 2179 remove nil cons cons nil cons cons nil cons cons 1322 remove 1501 ref 63 ref 1338 ref 2104 ref appTerm appTerm 204 ref 147 ref 1338 remove 1504 ref appTerm absTerm appTerm appTerm absTerm 2196 def 1503 ref appTerm 2197 def betaConv 59 ref 1480 ref 2196 ref appTerm 2198 def absTerm 2199 def 65 ref appTerm 2200 def betaConv nil 194 ref 2199 ref appTerm 2201 def axiom nil 59 ref 2201 remove nil cons cons 60 ref 2200 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 2199 remove nil cons cons 998 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2198 remove nil cons cons 60 ref 2197 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 2196 remove nil cons cons 1516 ref cons nil cons cons 163 ref subst eqMp eqMp 2202 def subst 2203 def subst eqMp absThm appThm trans absThm appThm trans trans appThm 1371 ref 2069 ref 1186 ref 111 ref 652 ref 1439 ref 1121 ref 2085 ref absThm appThm appThm 2140 ref refl 2204 def appThm appThm 1439 ref 1121 ref 652 ref 2085 remove appThm 2204 ref appThm absThm appThm appThm nil 1518 ref 2082 remove cons 60 ref 2140 ref nil cons 2205 def cons nil cons cons nil cons cons 2178 remove subst eqMp absThm appThm appThm 2069 ref 1186 ref nil 2173 ref 1187 ref nil cons 2206 def cons 59 ref 2143 ref nil cons 2207 def cons 2208 def nil cons cons nil cons cons 2175 remove subst absThm appThm appThm 111 ref 1371 ref 2069 ref 1186 ref 1186 ref 1165 ref 1121 ref 70 ref 1188 remove appTerm 2140 ref appTerm 2209 def absTerm 2210 def appTerm absTerm 2211 def 1187 ref appTerm betaConv 2212 def absThm appThm appThm 2069 ref 1186 ref 1186 ref 1201 ref 1191 ref 2144 ref 1193 remove appTerm 2213 def absTerm 2214 def appTerm 2215 def absTerm 2216 def 1187 ref appTerm betaConv 2217 def absThm appThm appThm appThm 2069 ref 1186 ref 1371 ref 2212 remove appThm 2217 remove appThm absThm appThm appThm nil 2137 ref 2211 remove nil cons cons 2138 ref 2216 remove nil cons cons nil cons cons nil cons cons 2188 ref subst eqMp 2069 ref 1186 ref 111 ref 1371 ref 1439 ref 1121 ref 2210 ref 1126 ref appTerm betaConv 2218 def absThm appThm appThm 2215 ref refl 2219 def appThm appThm 1439 ref 1121 ref 1371 ref 2218 remove appThm 2219 remove appThm absThm appThm appThm nil 1518 ref 2210 remove nil cons cons 60 ref 2215 remove nil cons cons nil cons cons nil cons cons 1529 ref subst eqMp 1439 ref 1121 ref 111 ref 1337 ref 2209 ref appTerm 2220 def refl 2221 def 2080 ref 1191 ref 2214 ref 1192 ref appTerm betaConv 2222 def absThm appThm appThm appThm 2080 ref 1191 ref 2221 remove 2222 remove appThm absThm appThm appThm nil 2173 ref 2214 remove nil cons cons 59 ref 2209 remove nil cons cons nil cons cons nil cons cons 2079 ref 2202 ref subst 2223 def subst eqMp absThm appThm trans absThm appThm trans trans appThm 111 ref 1371 ref 2069 ref 1186 ref 1186 ref 1201 ref 1191 ref 1165 ref 1121 ref 2193 ref 2183 remove appTerm 2224 def absTerm 2225 def appTerm absTerm 2226 def appTerm absTerm 2227 def 1187 ref appTerm betaConv 2228 def absThm appThm appThm 2069 ref 1186 ref 1186 ref 1165 ref 1121 ref 1201 ref 1191 ref 2220 ref 2213 remove appTerm absTerm 2229 def appTerm absTerm 2230 def appTerm 2231 def absTerm 2232 def 1187 ref appTerm betaConv 2233 def absThm appThm appThm appThm 2069 ref 1186 ref 1371 ref 2228 remove appThm 2233 remove appThm absThm appThm appThm nil 2137 remove 2227 remove nil cons cons 2138 ref 2232 remove nil cons cons nil cons cons nil cons cons 2188 remove subst eqMp 2069 ref 1186 ref 111 ref 1371 ref 2080 ref 1191 ref 2226 ref 1192 ref appTerm betaConv 2234 def absThm appThm appThm 2231 ref refl 2235 def appThm appThm 2080 ref 1191 ref 1371 ref 2234 remove appThm 2235 remove appThm absThm appThm appThm nil 2191 remove 2226 remove nil cons cons 60 ref 2231 remove nil cons cons nil cons cons nil cons cons 2192 remove subst eqMp 2080 ref 1191 ref 111 ref 1371 ref 1439 ref 1121 ref 2225 ref 1126 ref appTerm betaConv 2236 def absThm appThm appThm 1439 ref 1121 ref 2230 ref 1126 ref appTerm betaConv 2237 def absThm appThm appThm appThm 1439 ref 1121 ref 1371 ref 2236 remove appThm 2237 remove appThm absThm appThm appThm nil 1518 ref 2225 remove nil cons cons 2102 ref 2230 remove nil cons cons nil cons cons nil cons cons 2167 remove subst eqMp 1439 ref 1121 ref 111 ref 1337 ref 2224 ref appTerm 2238 def refl 2239 def 2080 ref 1191 ref 2229 ref 1192 ref appTerm betaConv absThm appThm appThm appThm 2080 ref "x'" 1146 ref var 2240 def 2239 remove 2229 ref 2240 ref varTerm 2241 def appTerm betaConv appThm absThm appThm appThm nil 2173 ref 2229 remove nil cons cons 59 ref 2224 remove nil cons cons nil cons cons nil cons cons 2223 ref subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans trans appThm 111 ref 1371 ref 1439 ref 1121 ref 1121 ref 1165 ref 1129 ref 1165 ref 1962 ref 1337 ref 2155 remove appTerm 2122 remove appTerm 2242 def absTerm 2243 def appTerm absTerm 2244 def appTerm absTerm 2245 def 1126 ref appTerm betaConv 2246 def absThm appThm appThm 2068 ref 1186 ref 1201 ref 1191 ref 1165 ref 1121 ref 1201 ref 2240 ref 2238 remove 2220 remove 2144 ref 1187 ref 2241 ref appTerm appTerm 2247 def appTerm appTerm absTerm appTerm absTerm 2248 def appTerm absTerm 2249 def appTerm absTerm 2250 def appTerm 2251 def refl 2252 def appThm appThm 1439 ref 1121 ref 1371 ref 2246 remove appThm 2252 ref appThm absThm appThm appThm nil 1518 ref 2245 remove nil cons cons 60 ref 2251 remove nil cons cons nil cons 2253 def cons nil cons cons 1529 ref subst eqMp 1439 ref 1121 ref 111 ref 1371 ref 1439 ref 1129 ref 2244 ref 1130 ref appTerm betaConv 2254 def absThm appThm appThm 2252 ref appThm appThm 1439 ref 1129 ref 1371 ref 2254 remove appThm 2252 ref appThm absThm appThm appThm nil 1518 ref 2244 remove nil cons cons 2253 ref cons nil cons cons 1529 ref subst eqMp 1439 ref 1129 ref 111 ref 1371 ref 1439 ref 1962 ref 2243 ref 1963 ref appTerm betaConv 2255 def absThm appThm appThm 2252 ref appThm appThm 1439 ref 1962 ref 1371 ref 2255 remove appThm 2252 remove appThm absThm appThm appThm nil 1518 ref 2243 remove nil cons cons 2253 remove cons nil cons cons 1529 remove subst eqMp 1439 ref 1962 ref 111 ref 1337 ref 2242 ref appTerm 2256 def refl 2257 def 2069 ref 1186 ref 2250 ref 1187 ref appTerm betaConv 2258 def absThm appThm appThm appThm 2069 ref 1186 ref 2257 ref 2258 remove appThm absThm appThm appThm nil 2138 remove 2250 remove nil cons cons 59 ref 2242 remove nil cons cons nil cons 2259 def cons nil cons cons 2066 ref 2202 ref subst subst eqMp 2069 remove 1186 ref 111 ref 2257 ref 2080 ref 1191 ref 2249 ref 1192 ref appTerm betaConv 2260 def absThm appThm appThm appThm 2080 ref 1191 ref 2257 ref 2260 remove appThm absThm appThm appThm nil 2173 ref 2249 remove nil cons cons 2259 ref cons nil cons cons 2223 ref subst eqMp 2080 ref 1191 ref 111 ref 2257 ref 1439 ref 1121 ref 2248 ref 1126 ref appTerm betaConv absThm appThm appThm appThm 1439 ref "x''" 1117 ref var 2261 def 2257 ref 2248 ref 2261 ref varTerm 2262 def appTerm betaConv appThm absThm appThm appThm nil 2102 ref 2248 remove nil cons cons 2259 ref cons nil cons cons 2203 remove subst eqMp 1439 remove 2261 ref 111 ref 2257 ref 2080 ref 2240 ref 2240 ref 1337 ref 2193 remove 70 ref 1237 ref 1187 ref 1156 ref 1125 ref 2262 ref appTerm appTerm appTerm 2263 def appTerm appTerm 1195 ref appTerm 2264 def appTerm appTerm 1337 ref 70 ref 2263 remove appTerm 2140 ref appTerm appTerm 2247 ref appTerm 2265 def appTerm 2266 def absTerm 2267 def 2241 remove appTerm betaConv 2268 def absThm appThm appThm appThm 2080 remove 2240 ref 2257 remove 2268 remove appThm absThm appThm appThm nil 2173 remove 2267 remove nil cons cons 2259 remove cons nil cons cons 2223 remove subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans trans trans trans 1974 remove assume eqMp nil 59 ref 1165 ref 1121 ref 1165 ref 1129 ref 1165 ref 1962 ref 2068 remove 1186 ref 1201 ref 1191 ref 1165 ref 2261 ref 1201 ref 2240 ref 2256 ref 2266 remove appTerm absTerm appTerm absTerm appTerm absTerm 2269 def appTerm 2270 def absTerm 2271 def appTerm 2272 def absTerm 2273 def appTerm 2274 def absTerm 2275 def appTerm 2276 def absTerm 2277 def appTerm 2278 def nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 1318 ref 1121 ref 64 ref 2277 ref 1126 ref appTerm 2279 def appTerm 1241 ref appTerm 2280 def absTerm 2281 def nil cons cons nil cons nil cons cons 1323 ref subst 1121 ref nil 94 ref 2280 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 2279 ref nil cons 2282 def cons 1330 ref cons nil cons cons 2283 def 81 ref subst 2283 remove 152 ref subst 2279 ref betaConv 2279 remove assume eqMp nil 59 ref 2276 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 1318 ref 1129 ref 64 ref 2275 ref 1130 ref appTerm 2284 def appTerm 1241 ref appTerm 2285 def absTerm nil cons cons nil cons nil cons cons 1323 ref subst 1129 ref nil 94 ref 2285 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 2284 ref nil cons 2286 def cons 1330 ref cons nil cons cons 2287 def 81 ref subst 2287 remove 152 ref subst 2284 ref betaConv 2284 remove assume eqMp nil 59 ref 2274 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 1318 ref 1962 ref 64 ref 2273 ref 1963 ref appTerm 2288 def appTerm 1241 ref appTerm 2289 def absTerm 2290 def nil cons cons nil cons nil cons cons 1323 ref subst 1962 ref nil 94 ref 2289 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 2288 ref nil cons 2291 def cons 1330 ref cons nil cons cons 2292 def 81 ref subst 2292 remove 152 ref subst 2288 ref betaConv 2288 remove assume eqMp nil 59 ref 2272 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 2064 ref 1186 ref 64 ref 2271 ref 1187 ref appTerm 2293 def appTerm 1241 ref appTerm 2294 def absTerm nil cons cons nil cons nil cons cons 2066 remove 260 ref subst subst 1186 ref nil 94 ref 2294 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 2293 ref nil cons 2295 def cons 1330 ref cons nil cons cons 2296 def 81 ref subst 2296 remove 152 ref subst 2293 ref betaConv 2293 remove assume eqMp nil 59 ref 2270 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 1186 ref "x''" 1146 ref var 2297 def 64 ref 2269 ref 2297 ref varTerm 2298 def appTerm 2299 def appTerm 1241 ref appTerm 2300 def absTerm nil cons cons nil cons nil cons cons 2079 ref 260 ref subst 2301 def subst 2297 remove nil 94 ref 2300 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 2299 ref nil cons 2302 def cons 1330 ref cons nil cons cons 2303 def 81 ref subst 2303 remove 152 ref subst 2299 ref betaConv 2299 remove assume eqMp nil 59 ref 1165 ref 2261 ref 1201 ref 2240 ref 2256 ref 1337 ref 1337 ref 2128 remove 1237 ref 1187 ref 2298 ref appTerm 2304 def appTerm 2305 def appTerm 2306 def appTerm 2307 def 2264 remove appTerm appTerm 2265 remove appTerm appTerm absTerm appTerm absTerm 2308 def appTerm 2309 def nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 1318 ref "x'''" 1117 ref var 2310 def 64 ref 2308 ref 2310 ref varTerm 2311 def appTerm 2312 def appTerm 1241 ref appTerm 2313 def absTerm nil cons cons nil cons nil cons cons 1323 ref subst 2310 remove nil 94 ref 2313 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 2312 ref nil cons 2314 def cons 1330 ref cons nil cons cons 2315 def 81 ref subst 2315 remove 152 ref subst 2312 ref betaConv 2312 remove assume eqMp nil 59 ref 1201 remove 2240 remove 2256 ref 1337 ref 2307 remove 70 ref 1237 ref 1187 ref 1156 ref 1125 ref 2311 remove appTerm appTerm 2316 def appTerm 2317 def appTerm 2318 def appTerm 1195 ref appTerm 2319 def appTerm 2320 def appTerm 2321 def 1337 ref 70 ref 2317 ref appTerm 2140 remove appTerm 2322 def appTerm 2323 def 2247 remove appTerm appTerm appTerm absTerm 2324 def appTerm 2325 def nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 1186 ref "x''''" 1146 ref var 2326 def 64 ref 2324 ref 2326 ref varTerm 2327 def appTerm 2328 def appTerm 1241 ref appTerm 2329 def absTerm nil cons cons nil cons nil cons cons 2301 remove subst 2326 remove nil 94 ref 2329 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 2328 ref nil cons 2330 def cons 1330 ref cons nil cons cons 2331 def 81 ref subst 2331 remove 152 ref subst 2328 ref betaConv 2328 remove assume eqMp nil 59 ref 2256 remove 2321 remove 2323 remove 2144 remove 1187 ref 2327 ref appTerm 2332 def appTerm 2333 def appTerm 2334 def appTerm 2335 def appTerm 2336 def nil cons 2337 def cons 1330 ref cons nil cons cons 2338 def 132 ref subst proveHyp 2338 ref 81 ref subst 2338 remove 152 ref subst 1579 ref 1583 ref 1538 ref 1584 ref 1587 ref 1588 ref 1591 ref 1592 ref 1593 ref nil 59 ref 2335 remove nil cons 2339 def cons 1330 ref cons nil cons cons 2340 def 81 ref subst 2340 remove 152 ref subst nil 59 ref 2334 remove nil cons 2341 def cons 1330 ref cons nil cons cons 2342 def 81 ref subst 2342 remove 152 ref subst nil 59 ref 2333 remove nil cons 2343 def cons 1330 ref cons nil cons cons 2344 def 81 ref subst 2344 remove 152 ref subst nil "_833" 1146 ref var 2345 def 2327 ref nil cons 2346 def cons nil cons nil cons cons 1161 ref 2345 remove varTerm 2347 def appTerm 2348 def betaConv nil 1256 ref 60 ref 2348 remove nil cons cons nil cons cons nil cons cons 132 ref subst 2078 ref 1186 ref 1161 ref nil cons cons 2349 def 1191 ref 2347 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst 2350 def nil 59 ref 1152 ref 1156 ref 1159 ref 2327 ref appTerm 2351 def appTerm 2352 def appTerm 2353 def 2327 ref appTerm 2354 def nil cons cons 2355 def 60 ref 2353 remove 1156 ref 1125 ref 1539 ref 2351 ref appTerm 2356 def appTerm 2357 def appTerm 2358 def appTerm 2359 def nil cons cons nil cons 2360 def cons nil cons cons 152 ref subst proveHyp 2350 remove nil 2355 remove 60 ref 1166 ref 1159 ref 2352 ref appTerm appTerm 2351 ref appTerm nil cons 2361 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_957" 1146 ref var 2362 def 2346 ref cons "_956" 1146 ref var 2363 def 2352 remove nil cons 2364 def cons nil cons cons nil cons cons nil 59 ref 1152 ref 2363 remove varTerm 2365 def appTerm 2362 remove varTerm 2366 def appTerm 2367 def nil cons 2368 def cons 60 ref 1166 ref 1159 ref 2365 remove appTerm appTerm 1159 ref 2366 remove appTerm appTerm nil cons 2369 def cons nil cons cons nil cons cons 2370 def 81 ref subst 2370 remove 152 ref subst 1632 ref 2367 remove assume appThm eqMp nil 107 ref 2368 remove cons 109 ref 2369 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 2361 remove cons 60 ref 1166 ref 2351 ref appTerm 2357 ref appTerm nil cons 2371 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_834" 1118 ref var 2372 def 2351 remove nil cons 2373 def cons nil cons nil cons cons nil 1642 ref 1237 ref 1166 ref 1159 ref 1156 ref 2372 remove varTerm 2374 def appTerm appTerm appTerm 2374 ref appTerm 2375 def appTerm nil cons cons 1648 ref 1166 ref 2374 ref appTerm 1125 ref 1539 ref 2374 ref appTerm appTerm appTerm 2376 def nil cons cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 2375 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 2376 remove refl appThm trans 1562 ref 2374 ref appTerm 2377 def betaConv 1740 remove 123 ref subst 2378 def nil 59 ref 1739 remove cons 2379 def 60 ref 2377 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1499 ref 1741 remove 1562 ref nil cons cons 2380 def 1636 ref 2374 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp subst eqMp nil 59 ref 2371 remove cons 2360 remove cons nil cons cons 132 ref subst proveHyp nil "_959" 1118 ref var 2381 def 2357 remove nil cons cons "_958" 1118 ref var 2382 def 2373 remove cons nil cons cons nil cons cons nil 59 ref 1166 ref 2382 remove varTerm 2383 def appTerm 2381 remove varTerm 2384 def appTerm 2385 def nil cons 2386 def cons 60 ref 1152 ref 1156 ref 2383 remove appTerm appTerm 1156 ref 2384 remove appTerm appTerm nil cons 2387 def cons nil cons cons nil cons cons 2388 def 81 ref subst 2388 remove 152 ref subst 1611 ref 2385 remove assume appThm eqMp nil 107 ref 2386 remove cons 109 ref 2387 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 59 ref 70 ref 2354 remove appTerm 2359 remove appTerm nil cons cons 60 ref 1152 ref 2327 remove appTerm 2358 ref appTerm 2389 def nil cons 2390 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "z" 1146 ref var 2391 def 2358 ref nil cons 2392 def cons "y" 1146 ref var 2393 def 2346 ref cons 1191 ref 2364 remove cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 1152 ref 1192 ref appTerm 2394 def 2393 ref varTerm 2395 def appTerm 2396 def appTerm 2397 def appTerm 2398 def 1237 ref 2394 remove 2391 ref varTerm 2399 def appTerm 2400 def appTerm 2401 def appTerm nil cons cons 1648 ref 1152 ref 2395 remove appTerm 2399 remove appTerm 2402 def nil cons 2403 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 2401 remove nil cons 2404 def cons 1648 ref 2397 remove nil cons 2405 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 2396 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 2400 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 2402 remove refl appThm trans 2398 remove refl nil 60 ref 2403 remove cons 2406 def 59 ref 2404 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 2404 remove cons 2406 remove 59 ref 2405 remove cons nil cons cons cons nil cons cons 1816 ref subst trans 2079 remove 1896 ref subst eqMp eqMp 2407 def subst eqMp nil 59 ref 2390 remove cons 60 ref 2332 ref nil cons 2408 def cons nil cons cons nil cons cons 152 ref subst proveHyp nil 107 ref 2207 remove cons 109 ref 2408 remove cons nil cons cons nil cons cons 2409 def 687 ref subst eqMp nil 59 ref 70 ref 2389 remove appTerm 2332 ref appTerm nil cons cons 60 ref 1187 ref 2358 remove appTerm nil cons 2410 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_949" 1146 ref var 2411 def 2392 remove cons "_948" 1146 ref var 2412 def 2346 remove cons nil cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 1152 ref 2412 remove varTerm 2413 def appTerm 2411 remove varTerm 2414 def appTerm 2415 def appTerm 2416 def appTerm 1237 ref 1187 ref 2413 remove appTerm 2417 def appTerm 2418 def appTerm nil cons cons 1648 ref 1187 ref 2414 remove appTerm 2419 def nil cons 2420 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 2418 ref nil cons 2421 def cons 1648 ref 2416 remove nil cons 2422 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 2415 ref nil cons 2423 def cons nil cons 2424 def nil cons cons 1707 ref subst appThm nil 1648 ref 2417 ref nil cons cons nil cons 2425 def nil cons cons 1707 ref subst appThm trans appThm 2419 ref refl appThm trans nil 969 ref 2421 remove cons 60 ref 2420 ref cons 59 ref 2422 remove cons nil cons cons cons nil cons cons 1816 ref subst nil 1642 ref 1337 ref 2419 ref appTerm 2418 remove appTerm nil cons 2426 def cons 2424 remove cons nil cons cons nil 1655 ref 60 ref 63 ref 64 ref 1651 ref appTerm 2427 def 1657 ref appTerm 2428 def appTerm 2429 def 1337 ref 1762 ref appTerm 1657 ref appTerm appTerm nil cons 2430 def cons nil cons 2431 def cons nil cons cons 2432 def 81 ref subst 2432 remove 152 ref subst 63 ref "_630" 16 ref var 2433 def 63 ref 64 ref 2433 remove varTerm 2434 def appTerm 1657 ref appTerm appTerm 1337 ref 1237 ref 2434 remove appTerm appTerm 1657 ref appTerm appTerm absTerm 2435 def 1651 ref appTerm 2436 def appTerm refl 2437 def 2435 ref 1241 ref appTerm betaConv appThm 111 ref 2436 remove betaConv appThm 2438 def 63 ref 1849 ref 1657 ref appTerm appTerm 2439 def 1355 remove 1657 ref appTerm appTerm refl appThm trans 2435 remove refl 2440 def 1672 ref appThm eqMp sym 111 ref 1674 ref 94 ref 63 ref 1849 ref 97 ref appTerm appTerm 86 ref appTerm absTerm 2441 def 97 ref appTerm 2442 def betaConv nil 194 ref 2441 ref appTerm 2443 def axiom nil 59 ref 2443 remove nil cons cons 60 ref 2442 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 2441 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 2444 def subst 2445 def appThm 2446 def 1373 remove 1657 ref refl 2447 def appThm 1692 ref trans appThm 1698 ref trans sym 100 ref eqMp eqMp eqMp nil 1682 ref 109 ref 2430 ref cons nil cons 2448 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1686 ref 2431 remove cons nil cons cons 2449 def 81 ref subst 2449 remove 152 ref subst 2437 remove "_628" 16 ref var 2450 def 63 ref 64 ref 2450 remove varTerm 2451 def appTerm 1657 ref appTerm appTerm 1337 ref 1237 ref 2451 remove appTerm appTerm 1657 ref appTerm appTerm absTerm 86 ref appTerm betaConv appThm 2438 remove 63 ref 64 ref 86 ref appTerm 2452 def 1657 ref appTerm appTerm 2453 def 1398 remove 1657 ref appTerm appTerm refl appThm trans 2440 remove 1691 ref appThm eqMp sym 111 ref 1674 ref 94 ref 63 ref 2452 ref 97 ref appTerm appTerm 97 ref appTerm absTerm 2454 def 97 ref appTerm 2455 def betaConv nil 194 ref 2454 ref appTerm 2456 def axiom nil 59 ref 2456 remove nil cons cons 60 ref 2455 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 2454 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 2457 def subst 2458 def appThm 2459 def 1408 remove 2447 ref appThm 1675 ref trans appThm 1681 ref trans sym 100 ref eqMp eqMp eqMp nil 1699 ref 2448 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1703 ref nil 1699 ref 1704 ref 1422 ref 2430 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 2460 def subst nil 59 ref 2423 ref cons 60 ref 2426 ref cons nil cons 2461 def cons nil cons cons 2462 def 81 ref subst 2462 remove 152 ref subst 1187 ref refl 2463 def 2415 remove assume appThm nil 59 ref 63 ref 2417 remove appTerm 2419 remove appTerm nil cons cons 2461 remove cons nil cons cons 132 ref subst proveHyp nil 1642 ref 2420 remove cons 2425 remove cons nil cons cons nil 1655 ref 60 ref 64 ref 1652 ref 1657 ref appTerm appTerm 2464 def 1337 ref 1657 ref appTerm 2465 def 1762 ref appTerm appTerm nil cons 2466 def cons nil cons 2467 def cons nil cons cons 2468 def 81 ref subst 2468 remove 152 ref subst 63 ref "_634" 16 ref var 2469 def 64 ref 63 ref 2469 remove varTerm 2470 def appTerm 1657 ref appTerm appTerm 2465 ref 1237 ref 2470 remove appTerm appTerm appTerm absTerm 2471 def 1651 ref appTerm 2472 def appTerm refl 2473 def 2471 ref 1241 ref appTerm betaConv appThm 111 ref 2472 remove betaConv appThm 2474 def 64 ref 1351 ref 1657 ref appTerm appTerm 2465 ref 1354 ref appTerm appTerm refl appThm trans 2471 remove refl 2475 def 1672 ref appThm eqMp sym 651 ref 1674 ref 1362 ref subst appThm 2465 ref refl 2476 def 1372 ref appThm 1674 ref 1887 ref subst trans appThm 1697 ref trans sym 100 ref eqMp eqMp eqMp nil 1682 ref 109 ref 2466 ref cons nil cons 2477 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1686 ref 2467 remove cons nil cons cons 2478 def 81 ref subst 2478 remove 152 ref subst 2473 remove "_632" 16 ref var 2479 def 64 ref 63 ref 2479 remove varTerm 2480 def appTerm 1657 ref appTerm appTerm 2465 ref 1237 ref 2480 remove appTerm appTerm appTerm absTerm 86 ref appTerm betaConv appThm 2474 remove 64 ref 1395 ref 1657 ref appTerm appTerm 2465 remove 1397 ref appTerm appTerm refl appThm trans 2475 remove 1691 ref appThm eqMp sym 651 ref 1674 ref 1404 ref subst appThm 2476 remove 1407 ref appThm 1674 ref 1877 ref subst trans appThm 1674 ref nil 94 ref 1240 remove 97 ref appTerm 2481 def nil cons cons nil cons nil cons cons 101 ref subst 94 ref 2481 remove absTerm 2482 def 97 ref appTerm 2483 def betaConv nil 194 ref 2482 ref appTerm 2484 def axiom nil 59 ref 2484 remove nil cons cons 60 ref 2483 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 2482 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 2485 def subst trans sym 100 ref eqMp eqMp eqMp nil 1699 ref 2477 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1703 ref nil 1699 ref 1704 ref 1422 ref 2466 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 2486 def subst eqMp eqMp nil 107 ref 2423 remove cons 109 ref 2426 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 2410 remove cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil "_845" 1117 ref var 2487 def 2356 remove nil cons cons nil cons nil cons cons nil 59 ref 1187 ref 1156 ref 1125 ref 2487 remove varTerm 2488 def appTerm appTerm appTerm nil cons cons nil cons nil cons cons 1613 ref subst 2134 remove 2488 ref appTerm 2489 def betaConv 2409 remove 123 ref subst nil 2208 remove 60 ref 2489 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2177 remove cons 1121 ref 2488 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 107 ref 2343 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 2322 remove nil cons 2490 def cons 1330 ref cons nil cons cons 2491 def 81 ref subst 2491 remove 152 ref subst nil 107 ref 2317 ref nil cons 2492 def cons 109 ref 2205 ref cons nil cons cons nil cons cons 2493 def 123 ref subst nil 59 ref 2492 remove cons 2494 def 1330 ref cons nil cons cons 132 ref subst 2495 def proveHyp nil "_828" 1146 ref var 2496 def 2316 remove nil cons 2497 def cons nil cons nil cons cons nil 59 ref 1187 ref 2496 remove varTerm 2498 def appTerm nil cons cons nil cons nil cons cons 1613 ref subst 2130 remove 2498 ref appTerm 2499 def betaConv 2493 remove 687 ref subst nil 59 ref 2205 remove cons 60 ref 2499 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 2078 ref 1186 ref 2174 remove cons 1191 ref 2498 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 107 ref 2490 remove cons 2500 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 2500 remove 109 ref 2343 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 107 ref 2341 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 2320 remove nil cons 2501 def cons 1330 ref cons nil cons cons 2502 def 81 ref subst 2502 remove 152 ref subst nil 59 ref 2319 remove nil cons 2503 def cons 1330 ref cons nil cons cons 2504 def 81 ref subst 2504 remove 152 ref subst nil "_811" 1146 ref var 2505 def 2497 remove cons nil cons nil cons cons 1194 remove 2505 remove varTerm 2506 def appTerm 2507 def betaConv nil 107 ref 2318 ref nil cons cons 109 ref 2072 ref cons nil cons cons nil cons cons 2508 def 687 ref subst nil 59 ref 2072 remove cons 60 ref 2507 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 2078 ref 2076 remove 1191 ref 2506 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst 2495 remove proveHyp nil 2494 remove nil cons nil cons cons 1613 ref subst 2508 remove 123 ref subst eqMp eqMp eqMp nil 107 ref 2503 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 2306 remove nil cons 2509 def cons 1330 ref cons nil cons cons 2510 def 81 ref subst 2510 remove 152 ref subst nil "_782" 1146 ref var 2511 def 2298 ref nil cons 2512 def cons nil cons nil cons cons 1161 remove 2511 remove varTerm 2513 def appTerm 2514 def betaConv nil 1256 ref 60 ref 2514 remove nil cons cons nil cons cons nil cons cons 132 ref subst 2078 ref 2349 remove 1191 ref 2513 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst 2515 def nil 59 ref 1152 ref 1156 ref 1159 ref 2298 ref appTerm 2516 def appTerm 2517 def appTerm 2518 def 2298 ref appTerm 2519 def nil cons 2520 def cons 60 ref 1166 ref 1159 ref 2517 ref appTerm appTerm 2516 ref appTerm nil cons 2521 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_915" 1146 ref var 2522 def 2512 ref cons "_914" 1146 ref var 2523 def 2517 remove nil cons 2524 def cons nil cons cons nil cons cons nil 59 ref 1152 ref 2523 remove varTerm 2525 def appTerm 2522 remove varTerm 2526 def appTerm 2527 def nil cons 2528 def cons 60 ref 1166 ref 1159 ref 2525 remove appTerm appTerm 1159 ref 2526 remove appTerm appTerm nil cons 2529 def cons nil cons cons nil cons cons 2530 def 81 ref subst 2530 remove 152 ref subst 1632 remove 2527 remove assume appThm eqMp nil 107 ref 2528 remove cons 109 ref 2529 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 2521 remove cons 60 ref 1166 ref 2516 ref appTerm 1125 ref 1539 ref 2516 ref appTerm 2531 def appTerm 2532 def appTerm nil cons 2533 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_783" 1118 ref var 2534 def 2516 remove nil cons 2535 def cons nil cons nil cons cons nil 1642 ref 1237 ref 1166 ref 1159 ref 1156 ref 2534 remove varTerm 2536 def appTerm appTerm appTerm 2536 ref appTerm 2537 def appTerm nil cons cons 1648 ref 1166 ref 2536 ref appTerm 1125 ref 1539 remove 2536 ref appTerm appTerm appTerm 2538 def nil cons cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 2537 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 2538 remove refl appThm trans 1562 remove 2536 ref appTerm 2539 def betaConv 2378 remove nil 2379 remove 60 ref 2539 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1499 remove 2380 remove 1636 remove 2536 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp subst eqMp nil 59 ref 2533 remove cons 60 ref 2518 remove 1156 ref 2532 ref appTerm 2540 def appTerm 2541 def nil cons 2542 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_917" 1118 ref var 2543 def 2532 remove nil cons cons "_916" 1118 ref var 2544 def 2535 remove cons nil cons cons nil cons cons nil 59 ref 1166 remove 2544 remove varTerm 2545 def appTerm 2543 remove varTerm 2546 def appTerm 2547 def nil cons 2548 def cons 60 ref 1152 ref 1156 ref 2545 remove appTerm appTerm 1156 ref 2546 remove appTerm appTerm nil cons 2549 def cons nil cons cons nil cons cons 2550 def 81 ref subst 2550 remove 152 ref subst 1611 remove 2547 remove assume appThm eqMp nil 107 ref 2548 remove cons 109 ref 2549 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 2542 remove cons 60 ref 2520 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 2515 remove eqMp nil 59 ref 70 ref 2541 remove appTerm 2519 remove appTerm nil cons cons 60 ref 1152 ref 2540 ref appTerm 2298 remove appTerm 2551 def nil cons 2552 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 2391 remove 2512 ref cons 2393 remove 2540 ref nil cons 2553 def cons 1191 ref 2524 remove cons nil cons cons cons nil cons cons 2407 remove subst eqMp nil 59 ref 2552 remove cons 60 ref 1187 ref 2540 remove appTerm 2554 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_794" 1117 ref var 2555 def 2531 remove nil cons cons nil cons nil cons cons 1189 remove 2555 remove varTerm 2556 def appTerm 2557 def betaConv nil 107 ref 2070 remove cons 109 ref 2305 ref nil cons cons nil cons cons nil cons cons 2558 def 123 ref subst nil 2071 remove 60 ref 2557 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 2083 remove 1121 ref 2556 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 70 ref 2551 remove appTerm 2554 remove appTerm nil cons cons 60 ref 2304 remove nil cons 2559 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_907" 1146 ref var 2560 def 2512 remove cons "_906" 1146 remove var 2561 def 2553 remove cons nil cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 1152 ref 2561 remove varTerm 2562 def appTerm 2560 remove varTerm 2563 def appTerm 2564 def appTerm 2565 def appTerm 1237 ref 1187 ref 2562 remove appTerm 2566 def appTerm 2567 def appTerm nil cons cons 1648 ref 1187 ref 2563 remove appTerm 2568 def nil cons 2569 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 2567 ref nil cons 2570 def cons 1648 ref 2565 remove nil cons 2571 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 2564 ref nil cons 2572 def cons nil cons 2573 def nil cons cons 1707 ref subst appThm nil 1648 ref 2566 ref nil cons cons nil cons 2574 def nil cons cons 1707 ref subst appThm trans appThm 2568 ref refl appThm trans nil 969 ref 2570 remove cons 60 ref 2569 ref cons 59 ref 2571 remove cons nil cons cons cons nil cons cons 1816 ref subst nil 1642 ref 1337 ref 2568 ref appTerm 2567 remove appTerm nil cons 2575 def cons 2573 remove cons nil cons cons 2460 ref subst nil 59 ref 2572 ref cons 60 ref 2575 ref cons nil cons 2576 def cons nil cons cons 2577 def 81 ref subst 2577 remove 152 ref subst 2463 remove 2564 remove assume appThm nil 59 ref 63 ref 2566 remove appTerm 2568 remove appTerm nil cons cons 2576 remove cons nil cons cons 132 ref subst proveHyp nil 1642 ref 2569 remove cons 2574 remove cons nil cons cons 2486 remove subst eqMp eqMp nil 107 ref 2572 remove cons 109 ref 2575 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 2559 remove cons 2578 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 2578 remove nil cons nil cons cons 1613 ref subst 2558 remove 687 ref subst eqMp eqMp eqMp nil 107 ref 2509 remove cons 2579 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 2579 remove 109 ref 2503 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 107 ref 2501 remove cons 2580 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 2580 remove 109 ref 2341 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 107 ref 2339 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 1337 ref 70 ref "Function.id" const 2581 def 1541 remove constTerm 2582 def 1127 ref appTerm 2583 def 1130 ref appTerm 2584 def appTerm 2585 def 70 ref 1337 ref 2583 ref 1963 ref appTerm 2586 def appTerm 2587 def 2582 ref 1133 remove appTerm 2588 def 1963 ref appTerm 2589 def appTerm 2590 def appTerm 1337 ref 1237 ref 2586 ref appTerm 2591 def appTerm 2592 def 1237 ref 2589 ref appTerm 2593 def appTerm 2594 def appTerm 2595 def appTerm 2596 def appTerm 70 ref 1237 ref 2584 ref appTerm 2597 def appTerm 70 ref 1120 ref 1962 ref 2587 remove 2593 ref appTerm absTerm 2598 def appTerm 2599 def appTerm 1120 ref 1962 ref 2592 remove 2589 ref appTerm absTerm appTerm 2600 def appTerm 2601 def appTerm 2602 def appTerm nil cons 2603 def cons 1330 ref cons nil cons cons 2604 def 81 ref subst 2604 remove 152 ref subst nil 59 ref 2602 remove nil cons 2605 def cons 1330 ref cons nil cons cons 2606 def 81 ref subst 2606 remove 152 ref subst nil "_760" 1117 ref var 2607 def 1900 ref cons nil cons nil cons cons 1121 ref 2583 ref 1126 ref appTerm 2608 def absTerm 2609 def 2607 remove varTerm 2610 def appTerm 2611 def betaConv 1490 ref 1121 ref nil 1948 remove nil cons cons 1949 ref 147 ref 1953 ref 2581 ref 1 ref 1450 remove 1466 remove cons opType constTerm 1549 ref appTerm 148 ref appTerm appTerm absTerm 2612 def 148 ref appTerm 2613 def betaConv 1548 ref 142 ref 2612 ref appTerm 2614 def absTerm 2615 def 1549 ref appTerm 2616 def betaConv 1461 remove 1548 ref 2035 ref 147 ref 1953 remove refl nil 1960 ref nil cons cons 1467 ref 189 ref cons 2617 def 147 ref 511 ref 2581 remove 1 ref 139 ref 270 ref cons opType 2618 def constTerm 148 ref appTerm appTerm 148 ref appTerm absTerm 2619 def 148 ref appTerm 2620 def betaConv nil 142 ref 2619 ref appTerm 2621 def axiom nil 59 ref 2621 remove nil cons cons 60 ref 2620 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 2619 remove nil cons cons 275 ref cons nil cons cons 163 ref subst eqMp eqMp subst subst 162 ref appThm appThm nil 522 ref 1550 ref nil cons cons nil cons nil cons cons 520 ref 189 ref cons 549 ref subst subst trans absThm appThm 188 ref 201 ref subst trans absThm appThm 188 ref 2617 remove 201 ref subst subst trans sym 100 ref eqMp nil 59 ref 1460 ref 2615 ref appTerm nil cons cons 60 ref 2616 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1467 ref 1468 ref 2615 remove nil cons cons 1960 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2614 remove nil cons cons 60 ref 2613 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 2612 remove nil cons cons 275 ref cons nil cons cons 163 ref subst eqMp eqMp subst 2622 def subst absThm appThm 1128 remove assume eqMp 2623 def nil 59 ref 1120 ref 2609 ref appTerm nil cons cons 2624 def 60 ref 2611 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2609 ref nil cons cons 2625 def 1121 ref 2610 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 2588 ref 1130 ref appTerm nil cons cons 60 ref 2584 ref nil cons 2626 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_776" 1117 ref var 2627 def 1900 ref cons nil cons nil cons cons nil 1642 ref 1237 ref 2588 ref 2627 remove varTerm 2628 def appTerm 2629 def appTerm nil cons cons 1648 ref 2583 ref 2628 ref appTerm 2630 def nil cons cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 2629 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 2630 remove refl appThm trans 2598 ref 2628 ref appTerm 2631 def betaConv nil 107 ref 2597 ref nil cons cons 109 ref 2601 remove nil cons cons nil cons cons nil cons cons 2632 def 687 ref subst nil 107 ref 2599 remove nil cons 2633 def cons 109 ref 2600 remove nil cons cons nil cons cons nil cons cons 123 ref subst proveHyp nil 59 ref 2633 remove cons 60 ref 2631 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2598 remove nil cons cons 1121 ref 2628 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp subst eqMp nil 59 ref 2626 ref cons 2634 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 2634 ref nil cons nil cons cons 1613 ref subst 2632 remove 123 ref subst eqMp eqMp eqMp nil 107 ref 2605 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 2596 remove nil cons 2635 def cons 1330 ref cons nil cons cons 2636 def 81 ref subst 2636 remove 152 ref subst nil 59 ref 2593 ref nil cons 2637 def cons 1330 ref cons nil cons cons 2638 def 81 ref subst 2638 remove 152 ref subst nil 59 ref 2589 ref nil cons 2639 def cons 2640 def nil cons nil cons cons 1613 ref subst 2593 remove assume eqMp 2641 def nil 59 ref 2586 ref nil cons 2642 def cons 2643 def 1330 ref cons nil cons cons 2644 def 81 ref subst 2644 ref 152 ref subst nil 107 ref 2626 remove cons 109 ref 2595 remove nil cons cons nil cons cons nil cons cons 2645 def 123 ref subst 2646 def nil 2634 ref 60 ref 2588 ref 1126 ref appTerm 2647 def nil cons 2648 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_743" 1117 ref var 2649 def 1900 ref cons "_742" 1117 ref var 2650 def 1640 ref cons nil cons cons nil cons cons nil 1642 ref 1237 ref 2582 ref 1125 ref 2650 remove varTerm 2651 def appTerm appTerm 2652 def 2649 remove varTerm 2653 def appTerm 2654 def appTerm nil cons 2655 def cons 1648 ref 2582 ref 1125 ref 2653 ref appTerm appTerm 2651 ref appTerm 2656 def nil cons 2657 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 2654 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 2656 remove refl appThm trans nil 60 ref 2657 remove cons 59 ref 2655 remove cons nil cons cons nil cons cons 1724 ref subst 1129 ref 1337 ref 1237 ref 2652 remove 1130 ref appTerm appTerm appTerm 2588 ref 2651 ref appTerm appTerm absTerm 2658 def 2653 ref appTerm 2659 def betaConv 1121 ref 1120 ref 1129 ref 1337 ref 2597 remove appTerm 2660 def 2647 ref appTerm absTerm appTerm absTerm 2661 def 2651 ref appTerm 2662 def betaConv 652 ref 1490 ref 1121 ref 1490 ref 1129 ref 1371 ref nil 1947 ref 1943 ref cons nil cons cons 2622 ref subst 2663 def appThm 1443 ref nil 1946 remove 1602 remove cons 2664 def nil cons nil cons cons 2622 ref subst 2665 def appThm appThm absThm appThm absThm appThm appThm 1490 ref 1121 ref 1490 ref 1129 ref 1371 ref 1443 ref 2663 ref appThm 2666 def appThm 2667 def 2665 remove appThm absThm appThm absThm appThm appThm 1490 ref 1121 ref 1490 ref 1129 ref nil 2042 ref 60 ref 1134 ref nil cons cons nil cons cons nil cons cons 1438 ref subst absThm appThm absThm appThm 1490 ref 1121 ref 111 ref 1490 ref 1129 ref 652 ref 1129 ref 1337 ref 1131 ref appTerm 1237 ref 1134 ref appTerm appTerm absTerm 2668 def 1130 ref appTerm betaConv 2669 def appThm 1129 ref 1337 ref 2059 remove appTerm 1134 remove appTerm absTerm 2670 def 1130 ref appTerm betaConv 2671 def appThm absThm appThm appThm 652 ref 1490 ref 1129 ref 2669 remove absThm appThm appThm 1490 ref 1129 ref 2671 remove absThm appThm appThm appThm nil 1518 ref 2668 ref nil cons cons 2102 ref 2670 ref nil cons cons nil cons cons nil cons cons 2119 ref subst eqMp absThm appThm 111 ref 1490 ref 1121 ref 652 ref 1121 ref 1120 ref 2668 remove appTerm absTerm 2672 def 1126 ref appTerm betaConv 2673 def appThm 1121 ref 1120 ref 2670 remove appTerm absTerm 2674 def 1126 ref appTerm betaConv 2675 def appThm absThm appThm appThm 652 ref 1490 ref 1121 ref 2673 remove absThm appThm appThm 1490 ref 1121 ref 2675 remove absThm appThm appThm appThm nil 1518 ref 2672 remove nil cons cons 2102 remove 2674 remove nil cons cons nil cons cons nil cons cons 2119 remove subst eqMp trans trans 1138 remove assume eqMp eqMp nil 107 ref 1120 ref 1121 ref 1120 ref 1129 ref 1337 ref 2584 remove appTerm 1237 ref 2647 ref appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons 109 ref 1120 ref 2661 ref appTerm nil cons 2676 def cons nil cons cons nil cons cons 687 ref subst proveHyp nil 59 ref 2676 remove cons 60 ref 2662 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2661 remove nil cons cons 1121 ref 2651 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1120 ref 2658 ref appTerm nil cons cons 60 ref 2659 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2658 remove nil cons cons 1121 ref 2653 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 2648 remove cons 60 ref 2642 ref cons nil cons 2677 def cons nil cons cons 152 ref subst proveHyp 2586 ref assume eqMp nil 59 ref 70 ref 2647 remove appTerm 2586 remove appTerm nil cons cons 60 ref 2639 ref cons nil cons 2678 def cons nil cons cons 132 ref subst proveHyp nil "_731" 1117 ref var 2679 def 1963 ref nil cons 2680 def cons "_730" 1117 ref var 2681 def 1640 ref cons "_729" 1117 ref var 2682 def 1900 ref cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 2582 ref 1125 ref 2682 remove varTerm 2683 def appTerm appTerm 2684 def 2681 remove varTerm 2685 def appTerm 2686 def appTerm 2687 def appTerm 2688 def 1237 ref 2582 ref 1125 ref 2685 ref appTerm appTerm 2689 def 2679 remove varTerm 2690 def appTerm 2691 def appTerm 2692 def appTerm nil cons cons 1648 ref 2684 ref 2690 ref appTerm 2693 def nil cons 2694 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 2692 remove nil cons 2695 def cons 1648 ref 2687 remove nil cons 2696 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 2686 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 2691 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 2693 remove refl appThm trans 2688 ref refl nil 60 ref 2694 ref cons 2697 def 59 ref 2695 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 2695 ref cons 2697 remove 59 ref 2696 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 2696 remove cons 1708 ref 2695 remove cons 1792 ref 2694 remove cons nil cons cons cons nil cons cons 1807 ref 1794 ref appTerm 2698 def betaConv 1809 ref 1713 ref appTerm 2699 def betaConv 1811 ref 1711 ref appTerm 2700 def betaConv 1813 remove nil 59 ref 1812 remove nil cons cons 60 ref 2700 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1811 remove nil cons cons 1722 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1810 remove nil cons cons 60 ref 2699 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1809 remove nil cons cons 1723 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1808 remove nil cons cons 60 ref 2698 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 1807 remove nil cons cons 1814 ref cons nil cons cons 163 ref subst eqMp eqMp 2701 def subst 1139 ref 1337 ref 2688 remove 1237 ref 2689 remove 1141 ref appTerm appTerm appTerm appTerm 2684 ref 1141 ref appTerm 2702 def appTerm absTerm 2703 def 2690 ref appTerm 2704 def betaConv 1129 ref 1120 ref 1139 ref 1337 ref 1337 ref 1237 ref 2684 remove 1130 ref appTerm appTerm appTerm 1237 ref 2588 remove 1141 ref appTerm appTerm 2705 def appTerm appTerm 2702 remove appTerm absTerm appTerm absTerm 2706 def 2685 ref appTerm 2707 def betaConv 1121 ref 1120 ref 1129 ref 1120 ref 1139 ref 1337 ref 2660 remove 2705 ref appTerm appTerm 2583 ref 1141 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 2708 def 2683 ref appTerm 2709 def betaConv 1490 ref 1121 ref 1490 ref 1129 ref 1490 ref 1139 ref 1371 ref 2667 remove 1443 ref nil 2664 ref 1121 ref 1141 ref nil cons cons nil cons 2710 def cons nil cons cons 2622 ref subst appThm appThm appThm nil 1947 ref 2710 remove cons nil cons cons 2622 ref subst appThm absThm appThm absThm appThm absThm appThm 1490 ref 1121 ref 1490 ref 1129 ref 1490 ref 1139 ref nil 59 ref 1143 remove nil cons cons 60 ref 1144 remove nil cons cons nil cons cons nil cons cons nil 1336 ref 60 ref 69 ref 1341 remove appTerm nil cons 2711 def cons nil cons 2712 def cons nil cons cons 2713 def 81 ref subst 2713 remove 152 ref subst 63 ref "_538" 16 ref var 2714 def 63 ref 64 ref 2714 remove varTerm 2715 def appTerm 67 ref appTerm appTerm 1337 ref 1237 ref 2715 remove appTerm appTerm 67 ref appTerm appTerm absTerm 2716 def 65 ref appTerm 2717 def appTerm refl 2718 def 2716 ref 1241 ref appTerm betaConv appThm 111 ref 2717 remove betaConv appThm 2719 def 63 ref 1849 ref 67 ref appTerm 2720 def appTerm 1356 remove appTerm refl appThm trans 2716 remove refl 2721 def 1358 ref appThm eqMp sym 111 ref 104 ref 2444 ref subst 2722 def appThm 1380 remove appThm 1698 ref trans sym 100 ref eqMp eqMp eqMp nil 1387 ref 109 ref 2711 ref cons nil cons 2723 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1391 ref 2712 remove cons nil cons cons 2724 def 81 ref subst 2724 remove 152 ref subst 2718 remove "_536" 16 ref var 2725 def 63 ref 64 ref 2725 remove varTerm 2726 def appTerm 67 ref appTerm appTerm 1337 ref 1237 ref 2726 remove appTerm appTerm 67 ref appTerm appTerm absTerm 86 ref appTerm betaConv appThm 2719 remove 63 ref 2452 ref 67 ref appTerm 2727 def appTerm 1399 remove appTerm refl appThm trans 2721 remove 1400 ref appThm eqMp sym 111 ref 104 remove 2457 ref subst 2728 def appThm 1410 remove appThm 1412 remove trans sym 100 ref eqMp eqMp eqMp nil 1413 ref 2723 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1420 ref nil 1413 ref 1421 ref 1422 ref 2711 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 2729 def subst 1371 ref nil 2042 remove 60 ref 1142 remove nil cons cons nil cons cons nil cons cons 2034 ref subst appThm 1638 remove 1141 ref refl appThm appThm trans absThm appThm absThm appThm absThm appThm 1145 remove assume eqMp eqMp 2730 def nil 59 ref 1120 ref 2708 ref appTerm nil cons cons 2731 def 60 ref 2709 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2708 ref nil cons cons 2732 def 1121 ref 2683 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1120 ref 2706 ref appTerm nil cons cons 60 ref 2707 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2706 remove nil cons cons 1121 ref 2685 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1120 ref 2703 ref appTerm nil cons cons 60 ref 2704 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2703 remove nil cons cons 1121 ref 2690 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 2640 remove 1330 ref cons nil cons cons 2733 def 132 ref subst proveHyp 2641 remove eqMp eqMp nil 107 ref 2642 remove cons 2734 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp 2645 remove 687 ref subst 2735 def nil 107 ref 2590 remove nil cons cons 109 ref 2594 remove nil cons cons nil cons cons nil cons cons 2736 def 123 ref subst proveHyp nil 2734 remove 109 ref 2639 ref cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp 2737 def proveHyp proveHyp eqMp nil 107 ref 2637 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 2591 ref nil cons 2738 def cons 1330 ref cons nil cons cons 2739 def 81 ref subst 2739 remove 152 ref subst 2733 ref 81 ref subst 2733 remove 152 ref subst 2646 remove nil 2634 remove 2678 remove cons nil cons cons 152 ref subst proveHyp 2589 ref assume eqMp nil 59 ref 2585 remove 2589 remove appTerm nil cons cons 2677 remove cons nil cons cons 132 ref subst proveHyp nil "_715" 1117 ref var 2740 def 2680 ref cons "_714" 1117 ref var 2741 def 1900 remove cons "_713" 1117 ref var 2742 def 1640 ref cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 2582 ref 1125 ref 2742 remove varTerm 2743 def appTerm appTerm 2744 def 2741 remove varTerm 2745 def appTerm 2746 def appTerm 2747 def appTerm 2748 def 1237 ref 2582 remove 1125 ref 2745 ref appTerm appTerm 2749 def 2740 remove varTerm 2750 def appTerm 2751 def appTerm 2752 def appTerm nil cons cons 1648 ref 2744 ref 2750 ref appTerm 2753 def nil cons 2754 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 2752 remove nil cons 2755 def cons 1648 ref 2747 remove nil cons 2756 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 2746 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 2751 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 2753 remove refl appThm trans 2748 ref refl nil 60 ref 2754 ref cons 2757 def 59 ref 2755 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 2755 ref cons 2757 remove 59 ref 2756 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 2756 remove cons 1708 ref 2755 remove cons 1792 ref 2754 remove cons nil cons cons cons nil cons cons 2701 ref subst 1139 ref 1337 ref 2748 remove 1237 ref 2749 remove 1141 ref appTerm appTerm appTerm appTerm 2744 ref 1141 remove appTerm 2758 def appTerm absTerm 2759 def 2750 ref appTerm 2760 def betaConv 1129 ref 1120 ref 1139 remove 1337 ref 1337 ref 1237 ref 2744 remove 1130 ref appTerm appTerm appTerm 2705 remove appTerm appTerm 2758 remove appTerm absTerm appTerm absTerm 2761 def 2745 ref appTerm 2762 def betaConv 2708 remove 2743 ref appTerm 2763 def betaConv 2730 remove nil 2731 remove 60 ref 2763 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 2732 remove 1121 ref 2743 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1120 ref 2761 ref appTerm nil cons cons 60 ref 2762 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2761 remove nil cons cons 1121 ref 2745 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1120 ref 2759 ref appTerm nil cons cons 60 ref 2760 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2759 remove nil cons cons 1121 ref 2750 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp 2644 remove 132 ref subst proveHyp nil 2643 remove nil cons nil cons cons 1613 ref subst 2591 ref assume eqMp 2764 def eqMp eqMp nil 107 ref 2639 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp 2764 remove 2737 remove proveHyp proveHyp eqMp nil 107 ref 2738 remove cons 2765 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp 2735 remove 2736 remove 687 ref subst proveHyp nil 2765 remove 109 ref 2637 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp nil 107 ref 2635 remove cons 2766 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 2766 remove 109 ref 2605 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 107 ref 2603 remove cons 2767 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp 1371 ref 1371 ref 652 ref 2663 remove appThm 652 ref 1371 ref nil 1947 remove 1121 ref 2680 remove cons nil cons 2768 def cons nil cons cons 2622 ref subst 2769 def appThm 2770 def nil 2664 remove 2768 remove cons nil cons cons 2622 remove subst 2771 def appThm appThm 1371 ref 1443 ref 2769 remove appThm 2772 def appThm 2773 def 1443 ref 2771 ref appThm 2774 def appThm appThm appThm appThm 652 ref 2666 remove appThm 652 ref 1490 ref 1962 ref 2770 remove 2774 remove appThm absThm appThm appThm 1490 ref 1962 ref 2773 remove 2771 remove appThm absThm appThm appThm appThm appThm appThm 1371 ref 1371 ref 2075 remove 2305 remove refl appThm appThm 652 ref 2318 remove refl appThm 2089 remove appThm appThm appThm 1371 ref 652 ref 2317 remove refl appThm 2204 remove appThm appThm 652 ref 2143 remove refl appThm 2332 remove refl appThm appThm appThm appThm 2336 remove assume eqMp nil 2767 remove 109 ref 2339 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp 1930 ref deductAntisym eqMp eqMp eqMp 1931 ref deductAntisym eqMp eqMp absThm eqMp 1933 ref proveHyp 1934 ref eqMp eqMp eqMp nil 107 ref 2337 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 2330 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 1149 ref 1191 ref 64 ref 2324 ref 1192 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 2325 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 2078 ref 1186 ref 2324 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 2314 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 1120 ref 2261 remove 64 ref 2308 ref 2262 remove appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 2309 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2308 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 2302 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 1149 remove 1191 ref 64 ref 2269 ref 1192 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 2270 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 2078 remove 1186 ref 2269 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 2295 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 1185 ref "x" 1147 remove var 2775 def 64 ref 2271 ref 2775 ref varTerm appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 2272 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 2065 ref 2064 ref 2271 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 2291 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 1120 ref 2290 remove appTerm nil cons cons 60 ref 64 ref 2274 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2273 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 2286 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 1120 ref 1962 ref 64 ref 2275 ref 1963 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 2276 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2275 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 2282 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 1120 ref 2281 remove appTerm nil cons cons 60 ref 64 ref 2278 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2277 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 2012 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 1234 remove cons 2776 def 109 ref 1972 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1935 ref 109 ref 2009 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1223 ref 109 ref 2007 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1220 ref 109 ref 2005 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1217 ref 109 ref 2003 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1214 ref 109 ref 2001 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 1282 ref 1988 ref appTerm nil cons cons 60 ref 1989 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1301 ref 1291 ref 1988 remove nil cons cons 1936 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1987 remove nil cons cons 60 ref 1986 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1304 ref 1303 ref 1985 remove nil cons cons 1937 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1984 remove nil cons cons 60 ref 1983 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1307 ref 1306 ref 1982 remove nil cons cons 1938 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 59 ref 1183 remove 1944 remove appTerm 2777 def nil cons cons 60 ref 64 ref 1198 ref appTerm 64 ref 1182 ref appTerm 2778 def 1209 ref appTerm 2779 def appTerm 2780 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 2062 remove 60 ref 2779 remove nil cons 2781 def cons nil cons cons nil cons cons 2782 def 81 ref subst 2782 remove 152 ref subst 2778 remove refl 111 ref 2087 remove 1191 remove 1208 ref 1192 remove appTerm betaConv absThm appThm appThm 1490 ref 1121 ref 1208 ref 1178 ref appTerm betaConv absThm appThm appThm nil 1186 ref 1208 remove nil cons cons nil cons nil cons cons 1186 ref 63 ref 1195 remove appTerm 1190 remove appTerm 2783 def absTerm 2784 def 1187 remove appTerm 2785 def betaConv 1185 ref refl 1186 remove 2783 remove assume sym 1196 remove assume sym deductAntisym absThm appThm 1198 remove assume eqMp nil 59 ref 1185 remove 2784 ref appTerm nil cons cons 60 ref 2785 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 2065 remove 2064 remove 2784 remove nil cons cons 2775 remove 2206 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp appThm sym nil 59 ref 1182 ref nil cons 2786 def cons 60 ref 1120 ref 1121 ref 1152 remove 1156 ref 1125 ref 1207 ref 1619 ref appTerm 2787 def appTerm 2788 def appTerm appTerm 1178 remove appTerm absTerm appTerm nil cons 2789 def cons nil cons cons nil cons cons 2790 def 81 ref subst 2790 remove 152 ref subst 1490 ref 1121 ref nil 1129 ref 1640 ref cons 2791 def 1121 ref 2787 remove nil cons cons nil cons cons nil cons cons 1129 ref 1226 remove 1131 remove appTerm 2792 def absTerm 2793 def 1130 ref appTerm 2794 def betaConv 1121 ref 1120 ref 2793 ref appTerm 2795 def absTerm 2796 def 1126 ref appTerm 2797 def betaConv 1490 ref 1121 ref 1490 ref 1129 remove 2792 remove assume sym 1181 remove assume sym deductAntisym absThm appThm absThm appThm 1182 remove assume eqMp nil 59 ref 1120 ref 2796 ref appTerm nil cons cons 60 ref 2797 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2796 remove nil cons cons 1942 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2795 remove nil cons cons 60 ref 2794 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2793 remove nil cons cons 1943 ref cons nil cons cons 163 ref subst eqMp eqMp subst absThm appThm sym nil 1318 ref 1121 ref 2788 remove 1126 ref appTerm 2798 def absTerm nil cons cons nil cons nil cons cons 1323 ref subst 1121 ref nil 94 ref 2798 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 1634 ref cons 2799 def nil cons nil cons cons 2800 def 1252 ref subst sym 2801 def nil 1235 ref 60 ref 64 ref 1237 ref 1633 ref appTerm 2802 def appTerm 1241 ref appTerm 2803 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1254 ref 60 ref 1976 ref 2803 remove appTerm 2804 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1256 ref 60 ref 1257 ref 2804 remove appTerm 2805 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1259 ref 60 ref 1260 ref 2805 remove appTerm 2806 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1262 ref 60 ref 1263 ref 2806 remove appTerm 2807 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1265 ref 60 ref 1266 ref 2807 remove appTerm 2808 def nil cons cons nil cons cons nil cons cons 132 ref subst 1158 ref 1268 ref 2808 remove appTerm absTerm 2809 def 1159 ref appTerm 2810 def betaConv 1155 ref 1272 ref 2809 ref appTerm 2811 def absTerm 2812 def 1156 ref appTerm 2813 def betaConv 1124 ref 1277 ref 2812 ref appTerm 2814 def absTerm 2815 def 1125 ref appTerm 2816 def betaConv 1121 ref 1282 ref 2815 ref appTerm 2817 def absTerm 2818 def 1126 ref appTerm 2819 def betaConv 1490 ref 1121 ref 1283 ref 1124 ref 1284 ref 1155 ref 1285 ref 1158 ref 1286 ref 1287 ref 1288 ref 1289 ref 1290 ref 1990 ref 2801 ref appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 1318 ref 1121 ref 1282 ref 1124 ref 1277 ref 1155 ref 1272 ref 1158 ref 1268 ref 1266 ref 1263 ref 1260 ref 1257 ref 1976 ref 1633 ref appTerm 2820 def appTerm 2821 def appTerm 2822 def appTerm 2823 def appTerm 2824 def appTerm 2825 def absTerm 2826 def appTerm 2827 def absTerm 2828 def appTerm 2829 def absTerm 2830 def appTerm 2831 def absTerm nil cons cons nil cons nil cons cons 1323 ref subst 1121 ref nil 94 ref 2831 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1291 ref 2830 remove nil cons cons nil cons nil cons cons 1302 ref subst 1124 ref nil 94 ref 2829 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1303 ref 2828 remove nil cons cons nil cons nil cons cons 1305 ref subst 1155 ref nil 94 ref 2827 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1306 ref 2826 remove nil cons cons nil cons nil cons cons 1308 ref subst 1158 ref nil 94 ref 2825 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1265 ref 60 ref 2824 remove nil cons 2832 def cons nil cons cons nil cons cons 2833 def 81 ref subst 2833 remove 152 ref subst nil 1262 ref 60 ref 2823 remove nil cons 2834 def cons nil cons cons nil cons cons 2835 def 81 ref subst 2835 remove 152 ref subst nil 1259 ref 60 ref 2822 remove nil cons 2836 def cons nil cons cons nil cons cons 2837 def 81 ref subst 2837 remove 152 ref subst nil 1256 ref 60 ref 2821 remove nil cons 2838 def cons nil cons cons nil cons cons 2839 def 81 ref subst 2839 remove 152 ref subst nil 1254 ref 60 ref 2820 remove nil cons 2840 def cons nil cons cons nil cons cons 2841 def 81 ref subst 2841 remove 152 ref subst nil 1235 ref 1635 remove cons nil cons cons 2842 def 81 ref subst 2842 remove 152 ref subst 2801 remove nil 59 ref 2802 ref nil cons 2843 def cons 1330 ref cons nil cons cons 2844 def 81 ref subst 2844 remove 152 ref subst 1579 ref 1583 ref 1538 ref 1584 ref 1587 ref 1588 ref 1591 ref 1592 ref 1593 ref 1743 remove nil 2799 remove 1330 ref cons nil cons cons 132 ref subst proveHyp 2800 remove 1613 ref subst 2802 remove assume eqMp eqMp eqMp 1930 ref deductAntisym eqMp eqMp eqMp 1931 ref deductAntisym eqMp eqMp absThm eqMp 1933 ref proveHyp 1934 ref eqMp eqMp eqMp nil 107 ref 2843 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 2776 ref 109 ref 1634 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1935 ref 109 ref 2840 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1223 ref 109 ref 2838 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1220 ref 109 ref 2836 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1217 ref 109 ref 2834 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1214 ref 109 ref 2832 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 1120 ref 2818 ref appTerm nil cons cons 60 ref 2819 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2818 remove nil cons cons 1942 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2817 remove nil cons cons 60 ref 2816 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1301 ref 1291 ref 2815 remove nil cons cons 1936 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2814 remove nil cons cons 60 ref 2813 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1304 ref 1303 ref 2812 remove nil cons cons 1937 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2811 remove nil cons cons 60 ref 2810 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1307 ref 1306 ref 2809 remove nil cons cons 1938 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp 63 ref "_962" 1118 ref var 2845 def 1125 ref 1207 ref 2845 remove varTerm appTerm appTerm 1126 ref appTerm absTerm 2846 def 1619 remove appTerm 2847 def appTerm refl 2846 ref 1127 ref appTerm betaConv appThm 111 ref 2847 remove betaConv appThm 1125 ref 1207 ref 1127 remove appTerm appTerm 1126 ref appTerm refl appThm trans 2846 remove refl 1633 remove assume appThm eqMp sym 1125 ref refl 1207 ref refl nil "t" 1118 remove var 1604 remove cons nil cons nil cons cons 1949 remove 1471 remove subst subst appThm appThm 1533 remove appThm sym nil 2791 remove 1121 ref 1207 remove 1962 ref 1964 remove absTerm 2848 def appTerm 2849 def nil cons cons nil cons cons nil cons cons 1135 ref 1130 remove appTerm 2850 def betaConv 1137 ref 1126 ref appTerm 2851 def betaConv nil 1262 ref 60 ref 2851 remove nil cons cons nil cons cons nil cons cons 132 ref subst 1321 ref 1318 ref 1137 remove nil cons cons 1942 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1136 remove nil cons cons 60 ref 2850 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 1135 remove nil cons cons 1943 remove cons nil cons cons 163 ref subst eqMp eqMp subst sym 111 ref 2848 ref 2849 remove appTerm betaConv appThm 1165 remove 2848 ref appTerm 2852 def refl appThm 1321 ref 1518 remove 2848 ref nil cons 2853 def cons nil cons nil cons cons 63 ref 155 ref 1113 ref 1 ref 140 ref 270 ref cons opType constTerm 2854 def 155 ref appTerm 2855 def appTerm 2856 def appTerm 2857 def refl nil 251 remove 154 ref 2856 ref absTerm 2858 def appTerm axiom 2859 def 155 ref refl appThm 2858 remove 155 ref appTerm betaConv trans appThm nil 198 ref 2856 ref nil cons 2860 def cons nil cons nil cons cons 635 ref subst trans sym 100 ref eqMp subst eqMp sym nil 59 ref 2852 ref nil cons 2861 def cons nil cons nil cons cons 1252 ref subst sym 2862 def nil 1235 ref 60 ref 64 ref 1237 ref 2852 ref appTerm 2863 def appTerm 1241 ref appTerm 2864 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1254 ref 60 ref 1976 ref 2864 remove appTerm 2865 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1256 ref 60 ref 1257 ref 2865 remove appTerm 2866 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1259 ref 60 ref 1260 ref 2866 remove appTerm 2867 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1262 ref 60 ref 1263 ref 2867 remove appTerm 2868 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 1265 ref 60 ref 1266 ref 2868 remove appTerm 2869 def nil cons cons nil cons cons nil cons cons 132 ref subst 1158 ref 1268 ref 2869 remove appTerm absTerm 2870 def 1159 remove appTerm 2871 def betaConv 1155 ref 1272 ref 2870 ref appTerm 2872 def absTerm 2873 def 1156 remove appTerm 2874 def betaConv 1124 ref 1277 ref 2873 ref appTerm 2875 def absTerm 2876 def 1125 remove appTerm 2877 def betaConv 1121 ref 1282 ref 2876 ref appTerm 2878 def absTerm 2879 def 1126 remove appTerm 2880 def betaConv 1490 ref 1121 ref 1283 remove 1124 ref 1284 remove 1155 ref 1285 remove 1158 ref 1286 remove 1287 remove 1288 remove 1289 remove 1290 remove 1990 remove 2862 ref appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 1318 ref 1121 ref 1282 remove 1124 ref 1277 remove 1155 ref 1272 remove 1158 ref 1268 remove 1266 remove 1263 remove 1260 remove 1257 remove 1976 remove 2852 remove appTerm 2881 def appTerm 2882 def appTerm 2883 def appTerm 2884 def appTerm 2885 def appTerm 2886 def absTerm 2887 def appTerm 2888 def absTerm 2889 def appTerm 2890 def absTerm 2891 def appTerm 2892 def absTerm nil cons cons nil cons nil cons cons 1323 remove subst 1121 ref nil 94 ref 2892 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1291 ref 2891 remove nil cons cons nil cons nil cons cons 1302 remove subst 1124 remove nil 94 ref 2890 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1303 ref 2889 remove nil cons cons nil cons nil cons cons 1305 remove subst 1155 remove nil 94 ref 2888 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1306 ref 2887 remove nil cons cons nil cons nil cons cons 1308 remove subst 1158 remove nil 94 ref 2886 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1265 remove 60 ref 2885 remove nil cons 2893 def cons nil cons cons nil cons cons 2894 def 81 ref subst 2894 remove 152 ref subst nil 1262 remove 60 ref 2884 remove nil cons 2895 def cons nil cons cons nil cons cons 2896 def 81 ref subst 2896 remove 152 ref subst nil 1259 remove 60 ref 2883 remove nil cons 2897 def cons nil cons cons nil cons cons 2898 def 81 ref subst 2898 remove 152 ref subst nil 1256 remove 60 ref 2882 remove nil cons 2899 def cons nil cons cons nil cons cons 2900 def 81 ref subst 2900 remove 152 ref subst nil 1254 remove 60 ref 2881 remove nil cons 2901 def cons nil cons cons nil cons cons 2902 def 81 ref subst 2902 remove 152 ref subst nil 1235 remove 60 ref 2861 ref cons nil cons cons nil cons cons 2903 def 81 ref subst 2903 remove 152 ref subst 2862 remove nil 59 ref 2863 ref nil cons 2904 def cons 1330 ref cons nil cons cons 2905 def 81 ref subst 2905 remove 152 ref subst 1579 remove 1583 remove 1538 remove 1584 remove 1587 remove 1588 remove 1591 remove 1592 remove 1593 remove nil "_992" 1117 ref var 2906 def 1640 ref cons nil cons nil cons cons 2609 remove 2906 remove varTerm 2907 def appTerm 2908 def betaConv 2623 remove nil 2624 remove 60 ref 2908 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 2625 remove 1121 ref 2907 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 2608 remove nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil "_997" 1117 remove var 2909 def 1640 remove cons nil cons nil cons cons nil 59 ref 2583 remove 2909 remove varTerm 2910 def appTerm nil cons cons nil cons nil cons cons 1613 ref subst 1962 ref 2591 remove absTerm 2911 def 2910 ref appTerm 2912 def betaConv 1490 ref 1962 ref 2772 remove absThm appThm nil 1318 ref 2853 remove cons nil cons nil cons cons 1489 remove subst 1490 remove 1962 remove 1443 ref 2848 remove 1963 remove appTerm betaConv appThm absThm appThm trans 2863 remove assume eqMp eqMp nil 59 ref 1120 ref 2911 ref appTerm nil cons cons 60 ref 2912 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 ref 1318 ref 2911 remove nil cons cons 1121 remove 2910 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp subst eqMp eqMp 1930 remove deductAntisym eqMp eqMp eqMp 1931 remove deductAntisym eqMp eqMp absThm eqMp 1933 remove proveHyp 1934 remove eqMp eqMp eqMp nil 107 ref 2904 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 2776 remove 109 ref 2861 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1935 remove 109 ref 2901 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1223 remove 109 ref 2899 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1220 remove 109 ref 2897 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1217 remove 109 ref 2895 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1214 remove 109 ref 2893 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 1120 remove 2879 ref appTerm nil cons cons 60 ref 2880 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1321 remove 1318 remove 2879 remove nil cons cons 1942 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2878 remove nil cons cons 60 ref 2877 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1301 remove 1291 remove 2876 remove nil cons cons 1936 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2875 remove nil cons cons 60 ref 2874 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1304 remove 1303 remove 2873 remove nil cons cons 1937 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 2872 remove nil cons cons 60 ref 2871 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1307 remove 1306 remove 2870 remove nil cons cons 1938 remove cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp proveHyp eqMp absThm eqMp eqMp eqMp nil 107 ref 2786 ref cons 109 ref 2789 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 2061 ref cons 109 ref 2781 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 70 ref 2777 remove appTerm 2780 remove appTerm nil cons cons 1211 remove cons nil cons cons 132 ref subst proveHyp nil "d" 16 ref var 2913 def 1209 remove nil cons cons "c" 16 ref var 2914 def 2063 remove cons 1642 ref 2061 remove cons 1648 ref 2786 remove cons nil cons cons cons cons nil cons cons nil 1655 ref 60 ref 64 ref 70 ref 70 ref 1651 ref appTerm 2915 def 70 ref 1657 ref appTerm 2916 def 2914 ref varTerm 2917 def appTerm 2918 def appTerm appTerm 64 ref 1657 ref appTerm 2919 def 2427 ref 2913 ref varTerm 2920 def appTerm appTerm appTerm appTerm 2915 remove 2916 remove 70 ref 2917 ref appTerm 2921 def 2920 ref appTerm 2922 def appTerm 2923 def appTerm appTerm nil cons 2924 def cons nil cons 2925 def cons nil cons cons 2926 def 81 ref subst 2926 remove 152 ref subst 63 ref "_642" 16 ref var 2927 def 64 ref 70 ref 70 ref 2927 remove varTerm 2928 def appTerm 2929 def 2918 ref appTerm appTerm 2919 ref 64 ref 2928 remove appTerm 2920 ref appTerm appTerm appTerm appTerm 2929 remove 2923 ref appTerm appTerm absTerm 2930 def 1651 ref appTerm 2931 def appTerm refl 2932 def 2930 ref 1241 ref appTerm betaConv appThm 111 ref 2931 remove betaConv appThm 2933 def 64 ref 70 ref 1783 ref 2918 ref appTerm appTerm 2919 ref 1849 ref 2920 ref appTerm 2934 def appTerm appTerm appTerm 1783 ref 2923 ref appTerm appTerm refl appThm trans 2930 remove refl 2935 def 1672 ref appThm eqMp sym 651 ref 652 ref nil 94 ref 2918 ref nil cons 2936 def cons nil cons nil cons cons 2937 def 1787 ref subst appThm 2919 ref refl 2938 def nil 94 ref 2920 ref nil cons 2939 def cons nil cons nil cons cons 2940 def 2444 ref subst 2941 def appThm 1674 remove 1696 ref subst trans appThm 188 ref 1787 ref subst 2942 def trans appThm nil 94 ref 2923 ref nil cons cons nil cons nil cons cons 2943 def 1787 ref subst appThm 1788 ref 2444 ref subst 2944 def trans sym 100 ref eqMp eqMp eqMp nil 1682 ref 109 ref 2924 ref cons nil cons 2945 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1686 ref 2925 remove cons nil cons cons 2946 def 81 ref subst 2946 remove 152 ref subst 2932 remove "_640" 16 ref var 2947 def 64 ref 70 ref 70 ref 2947 remove varTerm 2948 def appTerm 2949 def 2918 ref appTerm appTerm 2919 ref 64 ref 2948 remove appTerm 2920 ref appTerm appTerm appTerm appTerm 2949 remove 2923 ref appTerm appTerm absTerm 86 ref appTerm betaConv appThm 2933 remove 64 ref 70 ref 870 ref 2918 ref appTerm appTerm 2919 ref 2452 ref 2920 ref appTerm 2950 def appTerm appTerm appTerm 870 ref 2923 ref appTerm appTerm refl appThm trans 2935 remove 1691 ref appThm eqMp sym 651 ref 652 ref 2937 ref 874 ref subst appThm 2938 remove 2940 remove 2457 ref subst 2951 def appThm appThm appThm 2943 remove 874 ref subst appThm sym nil 59 ref 63 ref 1657 ref appTerm 2952 def 1241 ref appTerm 2953 def nil cons 2954 def cons 2955 def 60 ref 64 ref 70 ref 2918 ref appTerm 2919 ref 2920 ref appTerm appTerm appTerm 2923 remove appTerm nil cons 2956 def cons nil cons 2957 def cons nil cons cons 2958 def 81 ref subst 2958 remove 152 ref subst 63 ref "_646" 16 ref var 2959 def 64 ref 70 ref 70 ref 2959 remove varTerm 2960 def appTerm 2961 def 2917 ref appTerm appTerm 64 ref 2960 remove appTerm 2920 ref appTerm appTerm appTerm 2961 remove 2922 ref appTerm appTerm absTerm 2962 def 1657 ref appTerm 2963 def appTerm refl 2964 def 2962 ref 1241 ref appTerm betaConv appThm 111 ref 2963 remove betaConv appThm 2965 def 64 ref 70 ref 1783 ref 2917 ref appTerm appTerm 2934 remove appTerm appTerm 1783 remove 2922 ref appTerm appTerm refl appThm trans 2962 remove refl 2966 def 2953 remove assume 2967 def appThm eqMp sym 651 ref 652 ref nil 94 ref 2917 ref nil cons 2968 def cons nil cons nil cons cons 2969 def 1787 ref subst appThm 2941 remove appThm 2942 remove trans appThm nil 94 ref 2922 ref nil cons cons nil cons nil cons cons 2970 def 1787 ref subst appThm 2944 remove trans sym 100 ref eqMp eqMp eqMp nil 107 ref 2954 ref cons 2971 def 109 ref 2956 ref cons nil cons 2972 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 2952 ref 86 ref appTerm 2973 def nil cons 2974 def cons 2975 def 2957 remove cons nil cons cons 2976 def 81 ref subst 2976 remove 152 ref subst 2964 remove "_644" 16 ref var 2977 def 64 ref 70 ref 70 ref 2977 remove varTerm 2978 def appTerm 2979 def 2917 ref appTerm appTerm 64 ref 2978 remove appTerm 2920 ref appTerm appTerm appTerm 2979 remove 2922 ref appTerm appTerm absTerm 86 ref appTerm betaConv appThm 2965 remove 64 ref 70 ref 870 ref 2917 ref appTerm appTerm 2950 remove appTerm appTerm 870 remove 2922 remove appTerm appTerm refl appThm trans 2966 remove 2973 remove assume 2980 def appThm eqMp sym 651 ref 652 ref 2969 ref 874 ref subst appThm 2951 remove appThm appThm 2970 ref 874 ref subst appThm 2970 remove 2485 ref subst trans sym 100 ref eqMp eqMp eqMp nil 107 ref 2974 remove cons 2981 def 2972 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1414 ref 1657 ref appTerm 2982 def betaConv 1417 ref nil 1418 ref 60 ref 2982 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1419 ref 1680 ref cons nil cons cons 163 ref subst eqMp eqMp 2983 def nil 2981 ref 109 ref 2954 remove cons 2984 def 1422 ref 2956 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 1699 ref 2945 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1703 ref nil 1699 ref 1704 ref 1422 ref 2924 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp subst eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 107 ref 1177 remove cons 109 ref 1210 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp 2985 def subst subst eqMp 2986 def nil 107 ref 1101 remove nil cons 2987 def cons 109 ref 1116 remove nil cons cons nil cons cons nil cons cons 2988 def 123 ref subst proveHyp nil 59 ref 2987 remove cons 60 ref 722 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 721 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 720 remove nil cons cons 60 ref 719 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 718 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp 2989 def subst 690 ref 365 ref 305 ref 322 ref appTerm 2990 def appTerm 338 ref 714 ref appTerm 2991 def 717 ref appTerm 2992 def appTerm assume sym 365 ref 2992 ref appTerm 2993 def 2990 remove appTerm assume sym deductAntisym 2993 ref refl 305 ref refl 2994 def 241 remove 1448 ref cons 2995 def "t" 215 ref var 2996 def 322 ref nil cons cons nil cons nil cons cons 1463 ref 1454 remove appTerm 2997 def betaConv 1465 remove nil 59 ref 1464 remove nil cons cons 60 ref 2997 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1467 ref 1468 ref 1463 remove nil cons cons 1470 remove cons nil cons cons 163 ref subst eqMp eqMp 2998 def subst appThm appThm 63 ref "_16682" 215 ref var 2999 def 2993 ref 305 ref 306 ref 218 ref 236 ref 218 ref "y'" 214 ref var 3000 def 70 ref 232 ref 318 ref 237 ref appTerm 3000 ref varTerm 3001 def appTerm 3002 def appTerm 323 ref appTerm 3003 def appTerm 3004 def 70 ref 327 ref 714 ref appTerm 3005 def 237 ref appTerm appTerm 3006 def 2999 ref varTerm 3001 ref appTerm 3007 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 327 remove 717 ref appTerm 3008 def appTerm 3009 def appTerm refl 2999 ref 2993 ref 305 ref 306 ref 218 ref 236 ref 218 ref 3000 ref 3004 ref 70 ref 234 ref 237 ref appTerm 3010 def appTerm 3011 def 3007 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 3012 def 716 ref appTerm betaConv appThm 111 ref 3009 remove betaConv appThm 2993 ref 305 ref 306 ref 218 ref 236 ref 218 ref 3000 ref 3004 ref 3011 ref 716 ref 3001 ref appTerm 3013 def appTerm 3014 def appTerm 3015 def absTerm 3016 def appTerm 3017 def absTerm 3018 def appTerm 3019 def absTerm appTerm appTerm refl appThm trans 54 ref 1 ref 217 remove 773 remove nil cons cons opType constTerm 3020 def "_16681" 215 ref var 3021 def 2999 remove 2993 ref 305 ref 306 ref 218 ref 236 ref 218 ref 3000 ref 3004 remove 70 ref 3021 remove varTerm 237 ref appTerm appTerm 3007 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm absTerm 3022 def 3005 ref appTerm 3023 def appTerm refl 3022 ref 234 ref appTerm betaConv appThm 3020 ref refl 3024 def 3023 remove betaConv appThm 3012 remove refl appThm trans 3022 remove refl nil 774 remove 234 ref nil cons cons nil cons nil cons cons 1100 remove subst 280 remove eqMp 3025 def appThm eqMp nil 783 ref nil cons cons 3026 def 3025 ref subst 3027 def appThm eqMp nil 302 ref 714 ref nil cons cons 3028 def 303 ref 717 ref nil cons cons nil cons cons nil cons cons 3029 def 695 ref refl 333 remove 331 ref appTerm betaConv appThm 54 ref 1 ref 336 ref 1 ref 336 ref 17 ref cons opType nil cons cons opType constTerm 3030 def 693 ref appTerm refl 334 remove 328 ref appTerm betaConv appThm 335 remove 328 ref refl 3031 def appThm eqMp 331 ref refl 3032 def appThm eqMp subst eqMp 2994 ref 306 ref nil 59 ref 3019 ref nil cons 3033 def cons 60 ref 324 ref nil cons 3034 def cons nil cons 3035 def cons nil cons cons 1845 ref subst nil 243 ref 236 ref 64 ref 3018 ref 237 ref appTerm 3036 def appTerm 324 ref appTerm 3037 def absTerm 3038 def nil cons cons nil cons nil cons cons 727 ref subst 236 ref nil 94 ref 3037 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 3036 ref nil cons 3039 def cons 3035 ref cons nil cons cons 3040 def 81 ref subst 3040 remove 152 ref subst 3036 ref betaConv 3041 def 3036 remove assume eqMp nil 59 ref 3017 ref nil cons cons 3035 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 3000 ref 64 ref 3016 ref 3001 ref appTerm 3042 def appTerm 324 ref appTerm 3043 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 3000 ref nil 94 ref 3043 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 3042 ref nil cons 3044 def cons 3035 ref cons nil cons cons 3045 def 81 ref subst 3045 remove 152 ref subst 3042 ref betaConv 3046 def 3042 remove assume eqMp nil 59 ref 3015 ref nil cons 3047 def cons 3048 def 3035 ref cons nil cons cons 3049 def 132 ref subst proveHyp 3049 ref 81 ref subst 3049 remove 152 ref subst nil 107 ref 3003 ref nil cons 3050 def cons 109 ref 3014 ref nil cons 3051 def cons nil cons 3052 def cons nil cons cons 3053 def 687 ref subst nil 59 ref 3051 ref cons 3054 def 60 ref 322 ref 3002 ref appTerm 3055 def nil cons 3056 def cons nil cons cons nil cons cons 3057 def 132 ref subst proveHyp 651 ref 652 ref nil 307 ref 237 ref nil cons 3058 def cons 3059 def nil cons nil cons cons 3060 def 731 ref subst appThm 3061 def nil 307 ref 3001 ref nil cons 3062 def cons 3063 def 783 ref cons nil cons cons 731 ref subst 3064 def appThm appThm nil 307 ref 3002 ref nil cons cons 711 ref cons 3065 def nil cons cons 731 ref subst 48 ref 21 ref 49 ref 7 ref 50 ref 51 ref 54 ref 1 ref 5 ref 1 ref 5 ref 17 ref cons opType 3066 def nil cons cons opType constTerm 3067 def refl 3068 def 224 ref refl 3069 def nil 308 remove 244 ref cons 309 remove 730 ref cons nil cons cons nil cons cons 315 remove 311 ref refl appThm 314 remove 311 remove appTerm betaConv trans 312 ref refl appThm 313 remove 312 remove appTerm betaConv trans subst 3070 def appThm appThm 7 ref 38 ref 733 ref appTerm 3071 def 788 ref appTerm 3072 def absTerm 3073 def refl appThm nil "r" 5 ref var 3074 def 3073 ref nil cons 3075 def cons nil cons nil cons cons 111 ref 3074 ref 3067 ref 224 ref 310 ref 3074 ref varTerm 3076 def appTerm 3077 def appTerm appTerm 3076 ref appTerm 3078 def absTerm 3076 ref appTerm betaConv appThm 3074 ref 45 remove 3066 ref constTerm 3079 def 3076 ref appTerm absTerm 3076 ref appTerm betaConv appThm 210 remove 3076 ref refl appThm eqMp 3080 def subst nil 6 ref 3075 remove cons nil cons nil cons cons 47 ref subst 48 ref 21 ref 49 ref 23 ref 49 ref 7 ref 50 ref 51 ref 52 ref 3073 ref 34 ref appTerm betaConv 3081 def appThm appThm 165 ref 3073 ref 31 ref appTerm betaConv appThm appThm appThm 178 ref appThm absThm appThm absThm appThm absThm appThm trans trans trans sym 219 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 26 ref 29 ref 32 ref 733 ref appTerm 3082 def appTerm 3083 def 35 ref 732 ref 31 ref appTerm 3084 def appTerm 3085 def appTerm 3086 def appTerm 3087 def 41 ref appTerm 3088 def absTerm 3089 def appTerm 3090 def absTerm 3091 def appTerm 3092 def absTerm 3093 def appTerm 3094 def absTerm 3095 def 233 ref appTerm 3096 def betaConv 706 ref 219 ref 111 ref 48 ref 21 ref 49 ref 23 ref 49 ref 7 ref 50 ref 51 ref 52 ref 23 ref 3084 ref absTerm 3097 def 34 ref appTerm betaConv appThm appThm 165 ref 3097 ref 31 ref appTerm betaConv appThm appThm appThm 178 ref appThm absThm appThm absThm appThm absThm appThm appThm 3079 ref 3097 ref appTerm refl appThm nil 6 ref 3097 remove nil cons 3098 def cons nil cons nil cons cons 6 ref 63 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 26 ref 29 ref 32 ref 13 ref 34 ref appTerm appTerm appTerm 35 ref 13 ref 31 ref appTerm appTerm appTerm appTerm 41 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm 3099 def appTerm 3079 ref 13 ref appTerm 3100 def appTerm 3101 def absTerm 3102 def 13 ref appTerm 3103 def betaConv 0 ref 1 ref 3066 ref 17 ref cons opType 3104 def constTerm 3105 def refl 6 ref 3101 remove assume sym 63 ref 3100 remove appTerm 3099 remove appTerm 3106 def assume sym deductAntisym absThm appThm nil "P" 3066 remove var 3107 def 6 ref 3106 remove absTerm nil cons cons nil cons nil cons cons "A" 27 ref cons nil cons 3108 def 189 ref cons 3109 def 260 ref subst 3110 def subst 12 remove nil 94 ref 63 ref 3079 remove 33 remove appTerm appTerm 42 remove appTerm nil cons cons nil cons nil cons cons 101 ref subst 46 remove eqMp absThm eqMp eqMp nil 59 ref 3105 ref 3102 ref appTerm nil cons cons 60 ref 3103 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3108 ref 3107 ref 3102 remove nil cons cons 6 ref 14 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 3074 ref 3098 remove cons nil cons nil cons cons 3080 ref sym 3111 def subst trans 3068 ref 3069 ref 310 ref refl 3112 def nil "t" 5 ref var 732 ref nil cons 3113 def cons nil cons nil cons cons 133 remove "B" 4 remove cons 3114 def nil cons cons 189 ref cons 2998 ref subst subst 3115 def appThm nil "a" 214 ref var 3116 def 244 ref cons nil cons nil cons cons 54 ref 231 ref constTerm refl 3116 ref 310 ref 224 ref 3116 ref varTerm 3117 def appTerm appTerm absTerm 3117 ref appTerm betaConv appThm 3116 ref 3117 ref absTerm 3117 ref appTerm betaConv appThm 211 remove 3117 ref refl appThm eqMp subst trans 3118 def appThm appThm 3115 remove appThm nil 6 ref 3113 remove cons nil cons nil cons cons 3109 ref 549 ref subst 3119 def subst trans trans absThm appThm 188 ref 726 ref 201 ref subst subst 3120 def trans sym 100 ref eqMp 3121 def nil 59 ref 705 ref 3095 ref appTerm nil cons cons 3122 def 60 ref 3096 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 3095 ref nil cons cons 3123 def 245 ref cons nil cons cons 163 ref subst eqMp eqMp 3124 def nil 59 ref 3094 ref nil cons cons 3125 def 60 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 26 ref 29 ref 32 ref 3072 ref appTerm appTerm 35 ref 38 ref 3084 ref appTerm 3126 def 787 ref 31 ref appTerm 3127 def appTerm appTerm appTerm appTerm 3128 def 41 ref appTerm absTerm appTerm absTerm appTerm absTerm 3129 def appTerm 3130 def nil cons 3131 def cons nil cons 3132 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 837 ref 64 ref 3093 ref 838 ref appTerm 3133 def appTerm 3134 def 3130 ref appTerm 3135 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 3135 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 3133 ref nil cons 3136 def cons 3137 def 3132 ref cons nil cons cons 3138 def 81 ref subst 3138 remove 152 ref subst 3133 ref betaConv 3133 remove assume eqMp 3139 def nil 59 ref 22 ref 23 ref 22 ref 7 ref 3087 ref 30 ref 838 ref appTerm 3140 def 40 ref appTerm 3141 def appTerm 3142 def absTerm 3143 def appTerm 3144 def absTerm 3145 def appTerm 3146 def nil cons 3147 def cons 3148 def 3132 ref cons nil cons cons 3149 def 132 ref subst proveHyp 3149 ref 81 ref subst 3149 remove 152 ref subst 3095 remove 320 ref appTerm 3150 def betaConv 3121 remove nil 3122 remove 60 ref 3150 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 3123 remove 783 ref cons nil cons cons 163 ref subst eqMp eqMp 3151 def nil 59 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 26 ref 29 ref 32 ref 788 ref appTerm 3152 def appTerm 35 ref 3127 ref appTerm 3153 def appTerm 3154 def appTerm 3155 def 41 ref appTerm absTerm appTerm absTerm appTerm absTerm 3156 def appTerm 3157 def nil cons cons 3158 def 3132 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 849 ref 64 ref 3156 ref 850 ref appTerm 3159 def appTerm 3160 def 3130 ref appTerm 3161 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 3161 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 3159 ref nil cons 3162 def cons 3163 def 3132 ref cons nil cons cons 3164 def 81 ref subst 3164 remove 152 ref subst 3159 ref betaConv 3159 remove assume eqMp 3165 def nil 59 ref 22 ref 23 ref 22 ref 7 ref 3155 ref 30 ref 850 ref appTerm 3166 def 40 ref appTerm 3167 def appTerm 3168 def absTerm 3169 def appTerm 3170 def absTerm 3171 def appTerm 3172 def nil cons 3173 def cons 3174 def 3132 remove cons nil cons cons 3175 def 132 ref subst proveHyp 3175 ref 81 ref subst 3175 remove 152 ref subst 3129 ref 861 ref appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 3128 remove 30 ref 861 ref appTerm 40 ref appTerm 3176 def appTerm 3177 def absTerm 3178 def appTerm 3179 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 3179 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 3178 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 3177 remove nil cons cons nil cons nil cons cons 101 ref subst 50 ref 51 ref nil 879 ref 793 ref cons 3180 def 736 ref cons nil cons cons 879 ref 55 ref 32 ref 38 ref 34 ref appTerm 3181 def 883 ref appTerm 3182 def appTerm 3183 def appTerm 38 ref 32 ref 34 ref appTerm 3184 def appTerm 3185 def 32 ref 883 ref appTerm 3186 def appTerm 3187 def appTerm 3188 def absTerm 3189 def 883 ref appTerm 3190 def betaConv 7 ref 22 ref 3189 ref appTerm 3191 def absTerm 3192 def 34 ref appTerm 3193 def betaConv 23 ref 22 ref 3192 ref appTerm 3194 def absTerm 3195 def 31 ref appTerm 3196 def betaConv nil 22 ref 3195 ref appTerm 3197 def axiom 3198 def nil 59 ref 3197 remove nil cons cons 60 ref 3196 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3195 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3194 remove nil cons cons 60 ref 3193 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3192 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3191 remove nil cons cons 60 ref 3190 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3189 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 3199 def subst appThm nil 879 ref 3127 ref nil cons 3200 def cons 7 ref 3084 ref nil cons 3201 def cons 3202 def 167 ref cons 3203 def cons nil cons cons 3199 ref subst appThm appThm 3176 ref refl appThm sym 26 ref 38 ref 3086 ref appTerm 3154 ref appTerm appTerm 3204 def refl nil 879 ref 40 ref nil cons 3205 def cons 3206 def 7 ref 877 ref cons 3207 def 23 ref 880 ref cons 3208 def nil cons 3209 def cons cons nil cons cons 879 ref 55 ref 30 ref 40 ref appTerm 3210 def 883 ref appTerm 3211 def appTerm 38 ref 3186 ref appTerm 35 ref 883 ref appTerm 3212 def appTerm 3213 def appTerm 3214 def absTerm 3215 def 883 ref appTerm 3216 def betaConv 7 ref 22 ref 3215 ref appTerm 3217 def absTerm 3218 def 34 ref appTerm 3219 def betaConv 23 ref 22 ref 3218 ref appTerm 3220 def absTerm 3221 def 31 ref appTerm 3222 def betaConv nil 22 ref 3221 ref appTerm 3223 def axiom 3224 def nil 59 ref 3223 remove nil cons cons 60 ref 3222 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3221 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3220 remove nil cons cons 60 ref 3219 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3218 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3217 remove nil cons cons 60 ref 3216 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3215 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 3225 def subst appThm sym 652 ref nil 94 ref 3142 ref nil cons cons nil cons nil cons cons 101 ref subst 3143 ref 34 ref appTerm 3226 def betaConv 3145 ref 31 ref appTerm 3227 def betaConv nil 3148 ref 60 ref 3227 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 3145 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3144 remove nil cons cons 60 ref 3226 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3143 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 3228 def appThm nil 94 ref 3168 ref nil cons cons nil cons nil cons cons 101 ref subst 3169 ref 34 ref appTerm 3229 def betaConv 3171 ref 31 ref appTerm 3230 def betaConv nil 3174 ref 60 ref 3230 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 3171 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3170 remove nil cons cons 60 ref 3229 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3169 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 3231 def appThm 875 ref trans sym 100 ref eqMp nil 59 ref 70 ref 3142 ref appTerm 3168 remove appTerm nil cons cons 60 ref 3204 ref 38 ref 3141 ref appTerm 3167 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 3167 ref nil cons 3232 def cons 879 ref 3141 ref nil cons 3233 def cons 3234 def 7 ref 3154 ref nil cons 3235 def cons 3236 def 23 ref 3086 ref nil cons 3237 def cons nil cons 3238 def cons cons cons nil cons cons 905 ref subst eqMp eqMp nil 59 ref 3204 remove 3176 ref appTerm nil cons cons 60 ref 26 ref 29 ref 38 ref 3082 ref appTerm 3239 def 3152 ref appTerm appTerm 38 ref 3085 ref appTerm 3240 def 3153 ref appTerm appTerm appTerm 3176 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 906 ref 3176 remove nil cons cons 876 ref 3153 ref nil cons 3241 def cons 3242 def 879 ref 3085 ref nil cons 3243 def cons 3244 def 7 ref 3152 ref nil cons 3245 def cons 23 ref 3082 ref nil cons 3246 def cons nil cons 3247 def cons cons cons cons nil cons cons 906 ref 64 ref 26 ref 38 ref 921 remove appTerm 172 ref 886 ref appTerm 3248 def appTerm 3249 def appTerm 916 ref appTerm appTerm 26 ref 29 ref 40 ref appTerm 3250 def 889 ref appTerm 3251 def appTerm 3252 def 916 ref appTerm appTerm absTerm 3253 def 916 ref appTerm 3254 def betaConv 876 ref 3252 remove 3249 ref appTerm 3255 def absTerm 3256 def 886 ref appTerm 3257 def betaConv 879 ref 22 ref 3256 ref appTerm 3258 def absTerm 3259 def 883 ref appTerm 3260 def betaConv 7 ref 22 ref 3259 ref appTerm 3261 def absTerm 3262 def 34 ref appTerm 3263 def betaConv 23 ref 22 ref 3262 ref appTerm 3264 def absTerm 3265 def 31 ref appTerm 3266 def betaConv nil 22 ref 3265 ref appTerm 3267 def axiom nil 59 ref 3267 remove nil cons cons 60 ref 3266 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3265 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3264 remove nil cons cons 60 ref 3263 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3262 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3261 remove nil cons cons 60 ref 3260 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3259 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3258 remove nil cons cons 60 ref 3257 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3256 remove nil cons cons 904 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3255 remove nil cons cons 60 ref 22 ref 3253 ref appTerm nil cons 3268 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 7 ref 3249 remove nil cons cons 23 ref 3251 ref nil cons cons nil cons cons nil cons cons 1030 ref subst eqMp nil 59 ref 3268 remove cons 60 ref 3254 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3253 remove nil cons cons 1061 ref cons nil cons cons 163 ref subst eqMp eqMp 3269 def subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 3129 remove nil cons cons 1093 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 3173 remove cons 3270 def 109 ref 3131 remove cons nil cons 3271 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 3162 remove cons 3272 def 3271 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 3156 ref 1065 ref appTerm appTerm 3273 def 3130 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 3157 remove appTerm 3274 def 3130 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3156 ref nil cons cons 3275 def 3271 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 3147 remove cons 3276 def 3271 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 3136 remove cons 3277 def 3271 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 3093 ref 1065 ref appTerm appTerm 3278 def 3130 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 3094 remove appTerm 3279 def 3130 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3093 ref nil cons cons 3280 def 3271 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp 3281 def 34 ref refl 3282 def appThm 3081 remove trans 3283 def appThm 3284 def nil 3063 ref 219 ref 3058 ref cons nil cons 3285 def cons nil cons cons 3286 def 3281 ref subst 3282 ref appThm 7 ref 38 ref 224 ref 237 ref appTerm 34 ref appTerm 3287 def appTerm 3288 def 224 ref 3001 ref appTerm 34 ref appTerm 3289 def appTerm 3290 def absTerm 34 ref appTerm betaConv trans appThm appThm 739 ref appThm absThm appThm absThm appThm trans appThm sym nil 59 ref 70 ref 20 ref 21 ref 22 ref 7 ref 26 ref 786 ref 3287 ref appTerm 3291 def appTerm 3292 def 36 ref appTerm absTerm appTerm absTerm 3293 def appTerm 3294 def appTerm 20 ref 21 ref 22 ref 7 ref 26 ref 821 ref 3289 ref appTerm 3295 def appTerm 3296 def 36 ref appTerm absTerm appTerm absTerm 3297 def appTerm 3298 def appTerm nil cons 3299 def cons 60 ref 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 3072 ref appTerm 3290 remove appTerm appTerm 3300 def 36 ref appTerm absTerm appTerm absTerm 3301 def appTerm 3302 def nil cons 3303 def cons nil cons 3304 def cons nil cons cons 3305 def 81 ref subst 3305 remove 152 ref subst nil 107 ref 3294 ref nil cons 3306 def cons 109 ref 3298 ref nil cons 3307 def cons nil cons cons nil cons cons 3308 def 123 ref subst 3308 remove 687 ref subst nil 59 ref 3306 remove cons 3304 ref cons nil cons cons 132 ref subst nil 135 ref 837 ref 64 ref 3293 ref 838 ref appTerm 3309 def appTerm 3302 ref appTerm 3310 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 3310 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 3309 ref nil cons 3311 def cons 3304 ref cons nil cons cons 3312 def 81 ref subst 3312 remove 152 ref subst 3309 ref betaConv 3309 remove assume eqMp nil 59 ref 22 ref 7 ref 3292 remove 838 ref appTerm 3313 def absTerm 3314 def appTerm nil cons 3315 def cons 3316 def 3304 ref cons nil cons cons 3317 def 132 ref subst proveHyp 3317 ref 81 ref subst 3317 remove 152 ref subst nil 59 ref 3307 remove cons 3304 ref cons nil cons cons 132 ref subst nil 135 ref 849 ref 64 ref 3297 ref 850 ref appTerm 3318 def appTerm 3302 ref appTerm 3319 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 3319 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 3318 ref nil cons 3320 def cons 3304 ref cons nil cons cons 3321 def 81 ref subst 3321 remove 152 ref subst 3318 ref betaConv 3318 remove assume eqMp nil 59 ref 22 ref 7 ref 3296 ref 850 ref appTerm 3322 def absTerm 3323 def appTerm nil cons 3324 def cons 3325 def 3304 remove cons nil cons cons 3326 def 132 ref subst proveHyp 3326 ref 81 ref subst 3326 remove 152 ref subst 3301 ref 861 ref appTerm betaConv sym nil 135 ref 7 ref 3300 remove 861 ref appTerm 3327 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 3327 remove nil cons 3328 def cons nil cons nil cons cons 101 ref subst 652 ref nil 94 ref 3313 ref nil cons cons nil cons nil cons cons 101 ref subst 3314 ref 34 ref appTerm 3329 def betaConv nil 3316 remove 60 ref 3329 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 3314 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm nil 94 ref 3322 ref nil cons cons nil cons nil cons cons 101 ref subst 3323 ref 34 ref appTerm 3330 def betaConv nil 3325 remove 60 ref 3330 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 3323 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm 875 ref trans sym 100 ref eqMp nil 59 ref 70 ref 3313 remove appTerm 3322 remove appTerm nil cons cons 60 ref 26 ref 38 ref 3291 ref appTerm 3295 ref appTerm appTerm 861 ref appTerm nil cons 3331 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 878 remove 881 ref 7 ref 3295 ref nil cons cons 3332 def 23 ref 3291 remove nil cons cons nil cons cons cons cons nil cons cons 905 ref subst eqMp nil 59 ref 3331 remove cons 60 ref 3328 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 908 remove 876 ref 3289 ref nil cons 3333 def cons 879 ref 3287 ref nil cons 3334 def cons 7 ref 793 remove cons 3335 def 912 ref cons 3336 def cons cons cons nil cons cons 3269 ref subst eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 3301 remove nil cons cons 1093 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 3324 remove cons 109 ref 3303 remove cons nil cons 3337 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 3320 remove cons 3337 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 3297 ref 1065 ref appTerm appTerm 3338 def 3302 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 3298 remove appTerm 3339 def 3302 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3297 ref nil cons cons 3340 def 3337 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 3315 remove cons 3337 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 3311 remove cons 3337 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 3293 ref 1065 ref appTerm appTerm 3302 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 3294 remove appTerm 3302 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3293 remove nil cons cons 3337 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 3299 remove cons 3337 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp 3341 def eqMp nil 59 ref 3056 remove cons 60 ref 3050 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 3053 remove 123 ref subst eqMp nil 59 ref 70 ref 3055 ref appTerm 3003 remove appTerm nil cons cons 3035 remove cons nil cons cons 132 ref subst proveHyp nil 756 ref 323 ref nil cons cons 3342 def 3065 remove cons nil cons cons 1095 ref subst eqMp eqMp nil 107 ref 3047 remove cons 3343 def 109 ref 3034 ref cons nil cons 3344 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 3044 remove cons 3344 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref "x''" 214 ref var 3345 def 64 ref 3016 ref 3345 ref varTerm 3346 def appTerm appTerm 324 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 3017 remove appTerm 324 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 3016 remove nil cons cons 3347 def 3344 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 3039 remove cons 3344 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 3038 remove appTerm nil cons cons 60 ref 64 ref 3019 ref appTerm 324 ref appTerm nil cons 3348 def cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 3018 remove nil cons cons 3349 def 3344 remove cons nil cons cons 1090 ref subst eqMp nil 59 ref 3348 remove cons 60 ref 64 ref 324 remove appTerm 3019 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 3034 ref cons 3350 def 60 ref 3033 ref cons nil cons 3351 def cons nil cons cons 3352 def 81 ref subst 3352 remove 152 ref subst nil 3350 remove 60 ref 70 ref 723 ref appTerm 3353 def 716 ref 320 ref appTerm 3354 def appTerm 3355 def nil cons cons nil cons 3356 def cons nil cons cons 152 ref subst 745 ref sym 100 ref eqMp 3357 def nil 59 ref 723 ref nil cons 3358 def cons 60 ref 3354 ref nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 724 ref 320 ref appTerm 3359 def betaConv 746 ref nil 749 ref 60 ref 3359 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 725 ref 783 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 3360 def eqMp nil 59 ref 325 remove 3355 ref appTerm nil cons cons 3351 ref cons nil cons cons 132 ref subst proveHyp nil 3000 ref 730 ref cons 236 ref 244 ref cons 3361 def nil cons 3362 def cons nil cons cons 3363 def nil 3048 remove 3351 remove cons nil cons cons 3364 def 81 ref subst 3364 remove 152 ref subst 3041 remove sym 3046 remove sym 3015 remove assume eqMp 242 ref 3347 remove 219 ref 3062 remove cons nil cons 3365 def cons nil cons cons 279 ref subst proveHyp eqMp 242 ref 3349 remove 3285 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 3343 remove 109 ref 3033 remove cons nil cons 3366 def cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 107 ref 3034 remove cons 3366 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm appThm trans eqMp eqMp 3367 def appThm 3368 def 785 ref 3367 ref subst appThm trans absThm appThm 111 ref 706 ref 307 ref "_16781" 285 ref var 3369 def 365 ref 2991 ref 3369 remove varTerm 3370 def appTerm appTerm 338 ref 3370 remove appTerm 714 ref appTerm appTerm absTerm 3371 def 717 ref appTerm betaConv absThm appThm appThm 417 ref 303 ref 3371 ref 331 ref appTerm betaConv absThm appThm appThm nil 659 ref 3371 remove nil cons cons nil cons nil cons cons 1107 ref 1103 ref appTerm 3372 def betaConv 2986 remove 2988 remove 687 ref subst proveHyp 3373 def nil 107 ref 1108 remove nil cons 3374 def cons 109 ref 1115 remove nil cons cons nil cons cons nil cons cons 3375 def 123 ref subst proveHyp nil 59 ref 3374 remove cons 60 ref 3372 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 363 remove cons nil cons 3376 def "P" 415 remove var 3377 def 1107 remove nil cons cons "x" 362 ref var 3378 def 1103 ref nil cons cons nil cons 3379 def cons nil cons cons 163 ref subst eqMp eqMp 3380 def subst eqMp trans absThm appThm 111 ref 706 ref 219 ref "_16783" 285 ref var 3381 def 416 ref 303 ref 365 ref 338 ref 3381 remove varTerm 3382 def appTerm 331 ref appTerm appTerm 696 ref 3382 remove appTerm appTerm absTerm appTerm absTerm 3383 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 704 remove absThm appThm appThm nil 659 ref 3383 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 705 ref 307 ref 322 ref 708 ref appTerm 3384 def absTerm 3385 def appTerm 3386 def absTerm 3387 def nil cons cons 3388 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 3386 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 3385 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 3384 ref nil cons 3389 def cons nil cons nil cons cons 101 ref subst 232 ref refl 3390 def 3070 ref appThm 785 ref 3070 ref subst appThm sym 232 ref 310 ref 3073 remove appTerm 3391 def appTerm refl 3112 ref 7 ref 795 remove 7 ref 55 ref 40 ref appTerm 3392 def 3181 ref 31 ref appTerm 3393 def appTerm 3394 def absTerm 3395 def 34 ref appTerm 3396 def betaConv 3397 def 23 ref 22 ref 3395 ref appTerm 3398 def absTerm 3399 def 31 ref appTerm 3400 def betaConv 3401 def nil 22 ref 3399 ref appTerm 3402 def axiom 3403 def nil 59 ref 3402 ref nil cons 3404 def cons 3405 def 60 ref 3400 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3399 ref nil cons 3406 def cons 3407 def 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3398 ref nil cons cons 60 ref 3396 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3395 remove nil cons 3408 def cons 3409 def 176 ref cons nil cons cons 163 ref subst eqMp eqMp 3410 def subst absThm appThm appThm sym nil 219 ref 3391 remove nil cons cons nil cons nil cons cons 745 ref subst sym 100 ref eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 3411 def eqMp nil 59 ref 416 ref 702 ref appTerm nil cons cons 60 ref 703 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 702 remove nil cons cons 302 ref 328 ref nil cons 3412 def cons nil cons 3413 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 701 remove nil cons cons 60 ref 700 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 699 remove nil cons cons 302 ref 331 ref nil cons 3414 def cons nil cons 3415 def cons nil cons cons 163 ref subst eqMp eqMp 3416 def subst 3417 def appThm 689 ref refl 3418 def appThm appThm 667 remove refl 3419 def appThm sym 651 ref 690 ref nil "z" 285 ref var 3420 def 613 ref cons 303 ref 653 ref cons 3421 def 302 ref 606 ref cons nil cons 3422 def cons 3423 def cons nil cons cons 3420 ref 365 ref 338 ref 694 ref appTerm 3420 ref varTerm 3424 def appTerm 3425 def appTerm 693 ref 696 ref 3424 ref appTerm 3426 def appTerm 3427 def appTerm 3428 def absTerm 3429 def 3424 ref appTerm 3430 def betaConv 303 ref 416 ref 3429 ref appTerm 3431 def absTerm 3432 def 331 ref appTerm 3433 def betaConv 302 ref 416 ref 3432 ref appTerm 3434 def absTerm 3435 def 328 ref appTerm 3436 def betaConv 417 ref 302 ref 417 ref 303 ref 417 ref 3420 ref 3428 remove assume sym 365 ref 3427 remove appTerm 3425 remove appTerm 3437 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm 706 ref 219 ref 706 ref 307 ref 706 ref 756 ref nil 307 ref 318 ref 321 ref appTerm 758 ref appTerm 3438 def nil cons cons 219 ref 319 ref 707 ref 758 ref appTerm 3439 def appTerm 3440 def nil cons cons nil cons cons nil cons cons 2989 ref subst 690 ref nil 307 ref 3439 ref nil cons cons 3441 def nil cons nil cons cons 3442 def 3367 ref subst 2991 ref refl 817 ref 3367 ref subst 3443 def appThm trans appThm nil 816 ref 711 ref cons nil cons cons 3444 def 3367 ref subst 684 ref 3367 ref appThm 305 ref 232 ref 758 ref appTerm 3445 def appTerm 3446 def refl 3447 def appThm trans appThm trans absThm appThm 111 ref 706 ref 756 ref "_16791" 285 ref var 3448 def 365 ref 2991 ref 338 ref 717 ref appTerm 3449 def 3448 remove varTerm 3450 def appTerm appTerm appTerm 338 ref 2992 remove appTerm 3450 remove appTerm appTerm absTerm 3451 def 3446 ref appTerm betaConv absThm appThm appThm 417 ref 3420 ref 3451 ref 3424 ref appTerm betaConv absThm appThm appThm nil 659 ref 3451 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 307 ref "_16793" 285 ref var 3452 def 416 ref 3420 ref 365 ref 2991 ref 338 ref 3452 remove varTerm 3453 def appTerm 3424 ref appTerm appTerm appTerm 338 ref 2991 ref 3453 remove appTerm appTerm 3424 ref appTerm appTerm absTerm appTerm absTerm 3454 def 717 ref appTerm betaConv absThm appThm appThm 417 ref 303 ref 3454 ref 331 ref appTerm betaConv absThm appThm appThm nil 659 ref 3454 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref "_16795" 285 ref var 3455 def 416 ref 303 ref 416 ref 3420 ref 365 ref 338 ref 3455 remove varTerm appTerm 3456 def 3426 ref appTerm appTerm 338 ref 3456 remove 331 ref appTerm appTerm 3424 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 3457 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 3457 ref 328 ref appTerm betaConv 3458 def absThm appThm appThm nil 659 ref 3457 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 705 ref 307 ref 705 ref 756 ref 232 ref 3440 remove appTerm 3438 remove appTerm 3459 def absTerm 3460 def appTerm 3461 def absTerm 3462 def appTerm 3463 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 3463 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 3462 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 3461 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 3460 remove nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 3459 remove nil cons cons nil cons nil cons cons 101 ref subst 3390 ref 3442 ref 3070 ref subst appThm 3444 remove 3070 remove subst appThm sym 3390 ref 3112 ref 7 ref 3071 ref refl 817 ref 3281 ref subst 3282 ref appThm 7 ref 38 ref 788 ref appTerm 3464 def 822 ref appTerm 3465 def absTerm 34 ref appTerm betaConv trans 3466 def appThm nil 910 ref 3336 ref cons nil cons cons 3467 def 879 ref 55 ref 39 ref 3182 ref appTerm 3468 def appTerm 3469 def 38 ref 40 ref appTerm 3470 def 883 ref appTerm 3471 def appTerm 3472 def absTerm 3473 def 883 ref appTerm 3474 def betaConv 7 ref 22 ref 3473 ref appTerm 3475 def absTerm 3476 def 34 ref appTerm 3477 def betaConv 23 ref 22 ref 3476 ref appTerm 3478 def absTerm 3479 def 31 ref appTerm 3480 def betaConv nil 22 ref 3479 ref appTerm 3481 def axiom 3482 def nil 59 ref 3481 ref nil cons 3483 def cons 3484 def 60 ref 3480 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3479 ref nil cons cons 3485 def 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3478 remove nil cons cons 60 ref 3477 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3476 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3475 remove nil cons cons 60 ref 3474 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3473 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 3486 def subst trans absThm appThm appThm 3112 ref 7 ref 38 ref refl 3487 def 3283 remove appThm 3488 def 822 ref refl 3489 def appThm absThm appThm appThm nil 219 ref 310 ref 7 ref 38 ref 3072 ref appTerm 3490 def 822 ref appTerm absTerm appTerm nil cons cons nil cons nil cons cons 745 ref subst trans sym 100 ref eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 3491 def eqMp nil 59 ref 416 ref 3435 ref appTerm nil cons cons 60 ref 3436 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3435 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3434 remove nil cons cons 60 ref 3433 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3432 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3431 remove nil cons cons 60 ref 3430 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3429 remove nil cons cons 302 ref 3424 ref nil cons 3492 def cons nil cons 3493 def cons nil cons cons 163 ref subst eqMp eqMp 3494 def subst 3495 def appThm nil 3420 ref 662 ref nil cons 3496 def cons 303 ref 454 ref cons 3497 def 3422 ref cons 3498 def cons nil cons cons 3494 ref subst 3499 def appThm nil "p" 285 ref var 3500 def 338 ref 421 ref appTerm 3501 def 662 ref appTerm nil cons cons "n" 285 ref var 3502 def 338 ref 649 ref appTerm 3503 def 612 ref appTerm nil cons cons "m" 285 ref var 3504 def 606 ref cons nil cons 3505 def cons cons nil cons cons 3506 def nil 59 ref 365 ref 338 ref 3504 ref varTerm 3507 def appTerm 3508 def 3502 ref varTerm 3509 def appTerm 3510 def appTerm 3511 def 3508 ref 3500 ref varTerm 3512 def appTerm 3513 def appTerm 3514 def nil cons 3515 def cons 60 ref 365 ref 3509 ref appTerm 3516 def 3512 ref appTerm 3517 def nil cons 3518 def cons nil cons cons nil cons cons 1845 ref subst nil 3420 ref 3512 ref nil cons 3519 def cons 3520 def 303 ref 3509 ref nil cons 3521 def cons 302 ref 3507 ref nil cons 3522 def cons nil cons 3523 def cons 3524 def cons nil cons cons 3525 def nil 94 ref 64 ref 695 remove 693 ref 3424 ref appTerm appTerm appTerm 365 ref 331 ref appTerm 3526 def 3424 ref appTerm 3527 def appTerm 3528 def nil cons cons nil cons nil cons cons 101 ref subst 3420 ref 3528 remove absTerm 3529 def 3424 ref appTerm 3530 def betaConv 303 ref 416 ref 3529 ref appTerm 3531 def absTerm 3532 def 331 ref appTerm 3533 def betaConv 302 ref 416 ref 3532 ref appTerm 3534 def absTerm 3535 def 328 ref appTerm 3536 def betaConv 3537 def 706 ref 219 ref 706 ref 307 ref 706 ref 756 ref 651 ref nil 307 ref 319 ref 758 ref appTerm 3538 def nil cons 3539 def cons 711 remove cons nil cons cons 3540 def 2989 ref subst 3368 remove 820 ref 3367 ref subst appThm trans appThm 817 ref 2989 ref subst appThm absThm appThm 111 ref 706 ref 756 ref "_16807" 285 ref var 3541 def 64 ref 2993 remove 2991 ref 3541 remove varTerm 3542 def appTerm appTerm appTerm 365 ref 717 ref appTerm 3543 def 3542 remove appTerm appTerm absTerm 3544 def 3446 ref appTerm betaConv absThm appThm appThm 417 ref 3420 ref 3544 ref 3424 ref appTerm betaConv absThm appThm appThm nil 659 ref 3544 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 307 ref "_16809" 285 ref var 3545 def 416 ref 3420 ref 64 ref 365 ref 2991 ref 3545 remove varTerm 3546 def appTerm appTerm 2991 ref 3424 ref appTerm appTerm appTerm 365 ref 3546 remove appTerm 3424 ref appTerm appTerm absTerm appTerm absTerm 3547 def 717 ref appTerm betaConv absThm appThm appThm 417 ref 303 ref 3547 ref 331 ref appTerm betaConv absThm appThm appThm nil 659 ref 3547 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref "_16811" 285 ref var 3548 def 416 ref 303 ref 416 ref 3420 ref 64 ref 365 ref 338 ref 3548 remove varTerm appTerm 3549 def 331 ref appTerm appTerm 3549 remove 3424 ref appTerm appTerm appTerm 3527 ref appTerm absTerm appTerm absTerm appTerm absTerm 3550 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 3537 remove absThm appThm appThm nil 659 ref 3550 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 705 ref 307 ref 705 ref 756 ref 64 ref 322 remove 3538 ref appTerm appTerm 759 ref appTerm absTerm 3551 def appTerm 3552 def absTerm 3553 def appTerm 3554 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 3554 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 3553 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 3552 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 3551 remove nil cons cons nil cons nil cons cons 727 ref subst 756 ref 651 ref 3540 remove 731 ref subst 48 ref 21 ref 49 ref 7 ref 50 ref 3284 remove 820 ref 3281 ref subst 3282 ref appThm 7 ref 3071 ref 822 ref appTerm 3555 def absTerm 34 ref appTerm betaConv trans 3556 def appThm 3467 remove 879 ref 55 ref 3250 ref 39 ref 883 ref appTerm 3557 def appTerm appTerm 913 ref appTerm absTerm 3558 def 883 ref appTerm 3559 def betaConv 7 ref 22 ref 3558 ref appTerm 3560 def absTerm 3561 def 34 ref appTerm 3562 def betaConv 23 ref 22 ref 3561 ref appTerm 3563 def absTerm 3564 def 31 ref appTerm 3565 def betaConv nil 22 ref 3564 ref appTerm 3566 def axiom nil 59 ref 3566 remove nil cons cons 60 ref 3565 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3564 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3563 remove nil cons cons 60 ref 3562 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3561 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3560 remove nil cons cons 60 ref 3559 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3558 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp subst trans appThm 739 ref appThm absThm appThm absThm appThm trans appThm 818 remove appThm nil 94 ref 835 remove cons nil cons nil cons cons 2485 ref subst trans absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 416 ref 3535 ref appTerm nil cons cons 60 ref 3536 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3535 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3534 remove nil cons cons 60 ref 3533 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3532 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3531 remove nil cons cons 60 ref 3530 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3529 remove nil cons cons 3493 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp subst sym 100 ref eqMp nil 59 ref 64 ref 3514 ref appTerm 3517 ref appTerm nil cons cons 60 ref 64 ref 3517 ref appTerm 3514 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 3518 ref cons 60 ref 3515 ref cons nil cons cons nil cons cons 3567 def 81 ref subst 3567 remove 152 ref subst 63 ref "_16855" 285 ref var 3568 def 365 ref 3508 ref 3568 remove varTerm appTerm appTerm 3513 ref appTerm absTerm 3569 def 3509 ref appTerm 3570 def appTerm refl 3569 ref 3512 ref appTerm betaConv appThm 111 ref 3570 remove betaConv appThm 365 ref 3513 ref appTerm 3571 def 3513 ref appTerm refl appThm trans 3569 remove refl 3517 remove assume appThm eqMp sym 3513 ref refl eqMp eqMp nil 107 ref 3518 remove cons 109 ref 3515 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp 3572 def subst trans appThm 3419 ref appThm sym 651 ref 690 ref nil 3420 ref 604 ref cons 3573 def 303 ref 457 ref cons 3574 def 302 ref 653 ref cons nil cons cons 3575 def cons nil cons cons 3420 ref 3437 remove absTerm 3576 def 3424 ref appTerm 3577 def betaConv 303 ref 416 ref 3576 ref appTerm 3578 def absTerm 3579 def 331 ref appTerm 3580 def betaConv 3458 remove 3491 remove nil 59 ref 416 ref 302 ref 416 ref 3579 ref appTerm 3581 def absTerm 3582 def appTerm nil cons cons 60 ref 3582 ref 328 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3582 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3581 remove nil cons cons 60 ref 3580 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3579 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3578 remove nil cons cons 60 ref 3577 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3576 remove nil cons cons 3493 ref cons nil cons cons 163 ref subst eqMp eqMp 3583 def subst 3584 def appThm nil 3573 remove 303 ref 655 ref cons 3585 def 302 ref 454 ref cons nil cons 3586 def cons 3587 def cons nil cons cons 3583 ref subst 3588 def appThm nil 3502 ref 3501 ref 648 ref appTerm 3589 def nil cons cons 3500 ref 604 ref cons 3504 ref 3503 ref 420 ref appTerm 3590 def nil cons cons nil cons cons cons nil cons cons 3591 def 3500 ref 63 ref 3571 ref 338 ref 3509 ref appTerm 3592 def 3512 ref appTerm 3593 def appTerm appTerm 365 ref 3507 ref appTerm 3509 ref appTerm 3594 def appTerm absTerm 3595 def 3512 ref appTerm 3596 def betaConv 3502 ref 416 ref 3595 ref appTerm 3597 def absTerm 3598 def 3509 ref appTerm 3599 def betaConv 3504 ref 416 ref 3598 ref appTerm 3600 def absTerm 3601 def 3507 ref appTerm 3602 def betaConv 417 ref 3504 ref 417 ref 3502 ref 417 ref 3500 ref 111 ref 690 ref nil 303 ref 3519 ref cons 3603 def 3523 ref cons nil cons cons 3604 def 3416 ref subst 3605 def appThm nil 3603 ref 302 ref 3521 ref cons nil cons 3606 def cons nil cons cons 3607 def 3416 ref subst 3608 def appThm appThm 3594 ref refl 3609 def appThm absThm appThm absThm appThm absThm appThm sym 417 ref 3504 ref 417 ref 3502 ref 417 ref 3500 ref 111 ref nil 3500 ref 3521 ref cons 3502 ref 3522 ref cons 3504 ref 3519 ref cons nil cons cons cons nil cons cons 3610 def 3572 ref subst appThm 3609 remove appThm nil 198 ref 3594 remove nil cons cons nil cons nil cons cons 635 ref subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans absThm appThm 554 ref trans sym 100 ref eqMp eqMp nil 59 ref 416 ref 3601 ref appTerm nil cons cons 60 ref 3602 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3601 remove nil cons cons 3523 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3600 remove nil cons cons 60 ref 3599 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3598 remove nil cons cons 3606 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3597 remove nil cons cons 60 ref 3596 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 3595 remove nil cons cons 302 ref 3519 ref cons nil cons 3611 def cons nil cons cons 163 ref subst eqMp eqMp 3612 def subst trans appThm 3419 remove appThm sym nil 59 ref 365 ref 3590 ref appTerm 3589 ref appTerm 3613 def nil cons 3614 def cons 682 remove cons nil cons cons 3615 def 81 ref subst 3615 remove 152 ref subst 690 ref nil 3575 remove nil cons cons 3416 ref subst 3616 def appThm nil 3587 remove nil cons cons 3416 ref subst 3617 def appThm 3613 remove assume eqMp eqMp nil 107 ref 3614 remove cons 109 ref 681 remove cons nil cons 3618 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 107 ref 680 remove cons 3618 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 3619 def nil 59 ref 572 ref nil cons 3620 def cons 3621 def 60 ref 590 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "P" 395 ref var 3622 def 581 remove nil cons cons nil cons nil cons cons "A" 399 ref cons nil cons 3623 def 189 ref cons 3624 def 260 ref subst 3625 def subst 575 ref nil 94 ref 580 remove nil cons cons nil cons nil cons cons 101 ref subst 398 ref refl 3626 def 575 ref 579 remove absTerm 578 ref appTerm betaConv appThm 575 ref 578 ref absTerm 578 ref appTerm betaConv appThm 391 remove 578 remove refl appThm eqMp 3627 def eqMp absThm eqMp nil 59 ref 582 remove nil cons cons 60 ref 589 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "P" 290 ref var 588 remove nil cons cons nil cons nil cons cons "A" 371 remove cons nil cons 189 ref cons 3628 def 260 ref subst subst 584 ref nil 94 ref 587 remove nil cons cons nil cons nil cons cons 101 ref subst 111 ref 380 remove 585 ref appTerm 3629 def betaConv appThm 586 ref refl appThm 111 ref 584 ref 586 remove absTerm 585 ref appTerm betaConv appThm 584 ref 3629 remove absTerm 585 ref appTerm betaConv appThm 390 remove 585 remove refl appThm eqMp sym eqMp 3630 def eqMp absThm eqMp eqMp eqMp eqMp eqMp nil 59 ref 70 ref 556 remove appTerm 592 remove appTerm nil cons cons 60 ref 70 ref 291 ref 409 ref appTerm 3631 def appTerm 70 ref 0 ref 1 ref 573 ref 17 ref cons opType constTerm 3632 def 3622 ref 63 ref 291 ref 293 ref 3622 ref varTerm 3633 def 402 ref appTerm absTerm 3634 def appTerm appTerm 574 ref "x" 394 ref var 3635 def 3633 ref 3635 ref varTerm 3636 def appTerm 3637 def absTerm 3638 def appTerm appTerm absTerm 3639 def appTerm 3640 def appTerm 70 ref 3632 ref 3622 ref 63 ref 378 ref 3634 remove appTerm appTerm 15 ref 573 ref constTerm 3641 def 3638 ref appTerm 3642 def appTerm absTerm appTerm appTerm 574 ref 3635 ref 398 ref 401 ref 373 ref 1113 ref 1 ref 289 ref 298 ref cons opType constTerm 577 ref 3636 ref appTerm 3643 def appTerm appTerm appTerm appTerm 3636 ref appTerm absTerm appTerm appTerm 3644 def appTerm 3645 def appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil "R" 372 ref var 373 ref nil cons cons "dest" 576 remove var 577 ref nil cons cons "mk" 400 remove var 401 ref nil cons cons nil cons cons cons nil cons cons "Absty" 399 ref cons "Repty" 298 ref cons nil cons cons 189 ref cons 2985 remove subst subst eqMp 3646 def nil 107 ref 3631 remove nil cons 3647 def cons 109 ref 3645 remove nil cons cons nil cons cons nil cons cons 3648 def 123 ref subst proveHyp nil 59 ref 3647 remove cons 60 ref 410 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 409 remove nil cons cons 388 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 408 remove nil cons cons 60 ref 407 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 406 remove nil cons cons 293 ref 352 ref nil cons 3649 def cons nil cons 3650 def cons nil cons cons 163 ref subst eqMp eqMp 3651 def subst 3626 ref nil "y1" 288 ref var 3652 def 3649 ref cons 3653 def "x1" 288 ref var 3654 def 387 ref cons nil cons 3655 def cons nil cons cons 3656 def 398 ref 401 ref 373 ref 351 ref 3654 ref varTerm 3657 def appTerm 3658 def 3652 ref varTerm 3659 def appTerm 3660 def appTerm 3661 def appTerm 3662 def appTerm "Number.Real.+" "x1" 394 ref var 3663 def "y1" 394 ref var 3664 def 401 ref "u" 288 ref var 3665 def 378 ref 3654 ref 378 ref 3652 ref 70 ref 3661 ref 3665 ref varTerm 3666 def appTerm 3667 def appTerm 3668 def 70 ref 577 ref 3663 ref varTerm 3669 def appTerm 3657 ref appTerm 3670 def appTerm 577 ref 3664 ref varTerm 3671 def appTerm 3659 ref appTerm appTerm 3672 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 3673 def absTerm 3674 def defineConst 3675 def pop 1 ref 394 ref 1 ref 394 ref 399 ref cons opType 3676 def nil cons 3677 def cons opType 3678 def constTerm 3679 def 401 ref 373 ref 3657 ref appTerm 3680 def appTerm 3681 def appTerm 401 ref 373 ref 3659 ref appTerm 3682 def appTerm 3683 def appTerm 3684 def appTerm assume sym 398 ref 3684 remove appTerm 3685 def 3662 remove appTerm assume sym deductAntisym 3685 ref refl 401 ref refl 3686 def 384 remove 1448 remove cons 3687 def "t" 289 ref var 3688 def 3661 ref nil cons cons nil cons nil cons cons 2998 ref subst appThm appThm 63 ref "_17031" 289 ref var 3689 def 3685 ref 401 ref 3665 ref 378 ref "x1'" 288 ref var 3690 def 378 ref "y1'" 288 ref var 3691 def 70 ref 373 ref 351 ref 3690 ref varTerm 3692 def appTerm 3691 ref varTerm 3693 def appTerm 3694 def appTerm 3666 ref appTerm 3695 def appTerm 3696 def 70 ref 577 ref 3681 ref appTerm 3697 def 3692 ref appTerm appTerm 3698 def 3689 ref varTerm 3693 ref appTerm 3699 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 577 ref 3683 ref appTerm 3700 def appTerm 3701 def appTerm refl 3689 ref 3685 ref 401 ref 3665 ref 378 ref 3690 ref 378 ref 3691 ref 3696 ref 70 ref 3680 ref 3692 ref appTerm 3702 def appTerm 3703 def 3699 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 3704 def 3682 ref appTerm betaConv appThm 111 ref 3701 remove betaConv appThm 3685 ref 401 ref 3665 ref 378 ref 3690 ref 378 ref 3691 ref 3696 ref 3703 ref 3682 ref 3693 ref appTerm appTerm 3705 def appTerm 3706 def absTerm 3707 def appTerm 3708 def absTerm 3709 def appTerm 3710 def absTerm appTerm appTerm refl appThm trans 54 ref 1 ref 290 remove 583 remove nil cons cons opType constTerm 3711 def "_17030" 289 ref var 3712 def 3689 remove 3685 remove 401 ref 3665 ref 378 ref 3690 ref 378 ref 3691 ref 3696 remove 70 ref 3712 remove varTerm 3692 ref appTerm appTerm 3699 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm absTerm 3713 def 3697 ref appTerm 3714 def appTerm refl 3713 ref 3680 ref appTerm betaConv appThm 3711 ref refl 3715 def 3714 remove betaConv appThm 3704 remove refl appThm trans 3713 remove refl nil 293 ref 3657 ref nil cons 3716 def cons nil cons 3717 def nil cons cons nil 584 ref 374 ref nil cons cons nil cons nil cons cons 3630 ref subst 389 remove eqMp 3718 def subst 3719 def appThm eqMp nil 293 ref 3659 ref nil cons 3720 def cons nil cons 3721 def nil cons cons 3718 ref subst 3722 def appThm eqMp nil 3663 ref 3681 ref nil cons cons 3723 def 3664 ref 3683 ref nil cons cons nil cons cons nil cons cons 3724 def 398 ref 3679 ref 3669 ref appTerm 3725 def 3671 ref appTerm appTerm refl 3673 remove 3671 ref appTerm betaConv appThm 54 ref 1 ref 3676 ref 1 ref 3676 ref 17 ref cons opType nil cons cons opType constTerm 3726 def 3725 remove appTerm refl 3674 remove 3669 ref appTerm betaConv appThm 3675 remove 3669 ref refl 3727 def appThm eqMp 3671 ref refl 3728 def appThm eqMp subst eqMp 3686 ref 3665 ref nil 59 ref 3710 ref nil cons 3729 def cons 60 ref 3667 ref nil cons 3730 def cons nil cons 3731 def cons nil cons cons 1845 ref subst nil 386 ref 3690 ref 64 ref 3709 ref 3692 ref appTerm 3732 def appTerm 3667 ref appTerm 3733 def absTerm nil cons cons nil cons nil cons cons 385 ref 189 ref cons 3734 def 260 ref subst 3735 def subst 3690 ref nil 94 ref 3733 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 3732 ref nil cons 3736 def cons 3731 ref cons nil cons cons 3737 def 81 ref subst 3737 remove 152 ref subst 3732 ref betaConv 3738 def 3732 remove assume eqMp nil 59 ref 3708 ref nil cons cons 3731 ref cons nil cons cons 132 ref subst proveHyp nil 386 ref 3691 ref 64 ref 3707 ref 3693 ref appTerm 3739 def appTerm 3667 ref appTerm 3740 def absTerm nil cons cons nil cons nil cons cons 3735 ref subst 3691 ref nil 94 ref 3740 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 3739 ref nil cons 3741 def cons 3731 ref cons nil cons cons 3742 def 81 ref subst 3742 remove 152 ref subst 3739 ref betaConv 3743 def 3739 remove assume eqMp nil 59 ref 3706 ref nil cons 3744 def cons 3745 def 3731 ref cons nil cons cons 3746 def 132 ref subst proveHyp 3746 ref 81 ref subst 3746 remove 152 ref subst nil 107 ref 3695 ref nil cons 3747 def cons 109 ref 3705 ref nil cons 3748 def cons nil cons 3749 def cons nil cons cons 3750 def 687 ref subst nil 59 ref 3748 remove cons 3751 def 60 ref 3661 ref 3694 ref appTerm 3752 def nil cons 3753 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "y2" 288 ref var 3754 def 3693 ref nil cons 3755 def cons "x2" 288 ref var 3756 def 3692 ref nil cons 3757 def cons nil cons 3758 def cons nil cons cons 3759 def nil 59 ref 70 ref 3680 ref 3756 ref varTerm 3760 def appTerm 3761 def appTerm 3682 ref 3754 remove varTerm 3762 def appTerm 3763 def appTerm nil cons 3764 def cons 3765 def 60 ref 3661 ref 351 ref 3760 ref appTerm 3766 def 3762 ref appTerm 3767 def appTerm nil cons 3768 def cons nil cons 3769 def cons nil cons cons 3770 def 81 ref subst 3770 remove 152 ref subst 294 ref 70 ref 3661 ref 352 ref appTerm appTerm 404 ref 3767 ref appTerm appTerm absTerm 3771 def 3658 ref 3762 ref appTerm 3772 def appTerm betaConv sym 373 ref refl 3773 def nil 294 ref 3720 ref cons 3774 def 3717 ref cons nil cons cons 3775 def 294 ref 54 ref 372 ref constTerm 3776 def 357 ref appTerm 355 ref appTerm 3777 def absTerm 3778 def 352 ref appTerm 3779 def betaConv 293 ref 291 ref 3778 ref appTerm 3780 def absTerm 3781 def 354 ref appTerm 3782 def betaConv 3783 def 111 ref 292 ref 293 ref 3783 remove absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 3781 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 3781 ref nil cons 3784 def cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 3776 ref 351 ref 422 ref appTerm 3785 def 352 ref appTerm 3786 def appTerm 353 ref 422 ref appTerm appTerm absTerm 3787 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 3787 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 3787 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 3776 ref refl 3788 def 608 ref nil 295 remove 467 ref cons 296 remove 471 ref cons nil cons cons nil cons cons 348 remove 342 ref refl appThm 347 remove 342 remove appTerm betaConv trans 343 ref refl appThm 346 remove 343 remove appTerm betaConv trans subst 3776 ref "_16890" 285 ref var 3789 def 301 ref 473 ref 468 ref appTerm appTerm 338 ref 465 ref appTerm 3790 def 3789 ref varTerm 3791 def appTerm 3792 def appTerm absTerm 469 ref appTerm 3793 def appTerm refl 3789 ref 301 ref 480 ref 482 ref appTerm appTerm 3794 def 338 ref 483 ref appTerm 3795 def 3791 ref appTerm 3796 def appTerm absTerm 3797 def 486 ref appTerm betaConv appThm 3788 ref 3793 remove betaConv appThm 3794 remove 3795 remove 486 ref appTerm appTerm refl appThm trans 54 ref 1 ref 299 ref 1 ref 299 remove 17 ref cons opType nil cons cons opType constTerm 3798 def "_16889" 285 ref var 3799 def 3789 ref 301 ref 473 ref 3799 ref varTerm 3800 def appTerm appTerm 3801 def 3792 remove appTerm absTerm absTerm 468 ref appTerm 3802 def appTerm refl 3799 ref 3789 ref 301 ref 480 ref 3800 ref appTerm appTerm 3803 def 3796 remove appTerm absTerm absTerm 3804 def 482 ref appTerm betaConv appThm 3798 ref refl 3805 def 3802 remove betaConv appThm 3797 remove refl appThm trans 54 ref 1 ref 300 ref 1 ref 300 ref 17 ref cons opType nil cons cons opType constTerm 3806 def "_16888" 285 ref var 3807 def 3799 ref 3789 ref 3801 remove 338 ref 3807 ref varTerm appTerm 3791 remove appTerm 3808 def appTerm absTerm absTerm absTerm 465 ref appTerm 3809 def appTerm refl 3807 ref 3799 ref 3789 ref 3803 remove 3808 ref appTerm absTerm absTerm absTerm 3810 def 483 ref appTerm betaConv appThm 3806 ref refl 3811 def 3809 remove betaConv appThm 3804 remove refl appThm trans 54 ref 1 ref 1 ref 285 ref 300 remove nil cons cons opType 3812 def 1 ref 3812 remove 17 ref cons opType nil cons cons opType constTerm 3813 def "_16887" 285 ref var 3814 def 3807 remove 3799 remove 3789 remove 301 ref 338 ref 3814 remove varTerm appTerm 3800 remove appTerm appTerm 3808 remove appTerm absTerm absTerm absTerm absTerm 3815 def 463 ref appTerm 3816 def appTerm refl 3815 ref 479 ref appTerm betaConv appThm 3813 ref refl 3817 def 3816 remove betaConv appThm 3810 remove refl appThm trans 3815 remove refl 525 ref appThm eqMp 536 ref appThm eqMp 540 ref appThm eqMp 541 ref appThm eqMp sym trans 3818 def subst 3819 def appThm 611 ref 3818 ref subst 301 ref refl 3820 def nil 3574 ref 3422 ref cons nil cons cons 3821 def 3416 ref subst appThm nil 3497 ref 302 ref 604 ref cons nil cons 3822 def cons nil cons cons 3823 def 3416 ref subst appThm trans appThm nil 600 ref 3501 ref 602 ref appTerm 3824 def nil cons 3825 def cons 599 ref 543 ref 601 ref appTerm 3826 def nil cons 3827 def cons 419 ref 3825 ref cons 418 ref 3827 ref cons nil cons cons cons cons nil cons cons 427 ref "b'" 428 remove var 3828 def 63 ref 54 ref 1 ref 431 remove 451 remove cons opType constTerm 3829 def 447 remove appTerm 444 ref "a'" 139 ref var 3830 def varTerm 3831 def appTerm 3828 remove varTerm 3832 def appTerm appTerm appTerm 70 ref 511 ref 445 ref appTerm 3833 def 3831 ref appTerm appTerm 527 ref 446 ref appTerm 3832 ref appTerm appTerm appTerm absTerm 3834 def 3832 ref appTerm 3835 def betaConv 3830 remove 442 ref 3834 ref appTerm 3836 def absTerm 3837 def 3831 ref appTerm 3838 def betaConv 443 remove 142 ref 3837 ref appTerm 3839 def absTerm 3840 def 446 remove appTerm 3841 def betaConv 439 ref 442 ref 3840 ref appTerm 3842 def absTerm 3843 def 445 ref appTerm 3844 def betaConv nil 142 ref 3843 ref appTerm 3845 def axiom nil 59 ref 3845 remove nil cons cons 60 ref 3844 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 3843 remove nil cons cons 519 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3842 remove nil cons cons 60 ref 3841 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 520 ref 521 ref 3840 remove nil cons cons 523 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3839 remove nil cons cons 60 ref 3838 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 3837 remove nil cons cons 147 ref 3831 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3836 remove nil cons cons 60 ref 3835 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 520 remove 521 remove 3834 remove nil cons cons 522 remove 3832 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst 3846 def subst 652 ref nil 302 ref 3827 ref cons nil cons nil cons cons 550 ref subst appThm nil 302 ref 3825 ref cons nil cons nil cons cons 550 ref subst appThm 875 ref trans trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp nil 59 ref 291 ref 3781 remove appTerm nil cons cons 60 ref 3782 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 3784 remove cons 388 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3780 remove nil cons cons 60 ref 3779 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 3778 remove nil cons cons 3650 ref cons nil cons cons 163 ref subst eqMp eqMp 3847 def subst appThm nil 294 ref 3762 ref nil cons 3848 def cons 3849 def 3717 ref cons nil cons cons 3850 def 3847 ref subst appThm sym nil 107 ref 3761 ref nil cons 3851 def cons 109 ref 3763 ref nil cons 3852 def cons nil cons cons nil cons cons 3853 def 687 ref subst 3854 def nil 59 ref 3852 remove cons 3855 def 60 ref 373 ref 351 ref 3659 ref appTerm 3657 ref appTerm appTerm 351 ref 3762 ref appTerm 3657 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 3756 ref 3848 ref cons 294 ref 3716 ref cons 3856 def 3654 ref 3720 ref cons nil cons cons cons nil cons cons 3857 def 294 ref 64 ref 3761 ref appTerm 3858 def 373 ref 3658 remove 352 ref appTerm appTerm 3766 remove 352 ref appTerm 3859 def appTerm appTerm absTerm 3860 def 352 ref appTerm 3861 def betaConv 3756 ref 291 ref 3860 ref appTerm 3862 def absTerm 3863 def 3760 ref appTerm 3864 def betaConv 3654 ref 291 ref 3863 ref appTerm 3865 def absTerm 3866 def 3657 ref appTerm 3867 def betaConv 3868 def 111 ref 292 ref 3654 ref 3868 remove absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 3866 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 3866 ref nil cons 3869 def cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 3756 ref 3756 ref 291 ref 294 ref 64 ref 596 remove 3760 ref appTerm appTerm 3870 def 373 ref 3786 ref appTerm 3871 def 3859 remove appTerm appTerm absTerm appTerm absTerm 3872 def 3760 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 3872 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 3872 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 111 ref 292 ref 294 ref 294 ref 64 ref 644 ref appTerm 3873 def 3871 remove 351 ref 603 ref appTerm 3874 def 352 ref appTerm appTerm appTerm absTerm 3875 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 646 ref 417 ref 647 ref 3875 ref 650 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 3875 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 646 ref 417 ref 647 ref 651 ref 609 ref appThm 3876 def 3773 ref 658 ref 3818 ref subst 3877 def appThm 657 ref 3818 ref subst 3878 def appThm nil 453 ref 338 ref 602 ref appTerm 3879 def 649 ref appTerm nil cons cons 3880 def 456 ref 614 ref 648 ref appTerm 3881 def nil cons 3882 def cons 3883 def 459 ref 3501 ref 649 ref appTerm 3884 def nil cons 3885 def cons 460 ref 543 ref 648 ref appTerm 3886 def nil cons 3887 def cons nil cons cons cons cons nil cons cons 542 ref subst trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm trans absThm appThm absThm appThm trans sym 417 ref 418 ref 417 ref 419 ref 417 ref 599 ref 417 ref 600 ref 417 ref 646 ref 417 ref 647 ref 64 ref 633 ref appTerm 3888 def refl 3889 def 690 ref nil 3420 ref 653 ref cons 3890 def 303 ref 604 ref cons 3891 def 302 ref 3887 ref cons nil cons cons 3892 def cons nil cons cons 3583 ref subst appThm nil 3890 ref 3497 ref 302 ref 3882 remove cons nil cons cons 3893 def cons nil cons cons 3583 ref subst appThm nil 3502 ref 338 ref 3881 remove appTerm 421 ref appTerm 3894 def nil cons cons 3500 ref 653 remove cons 3895 def 3504 ref 338 ref 3886 remove appTerm 602 ref appTerm 3896 def nil cons cons nil cons cons cons nil cons cons 3612 ref subst trans appThm absThm appThm nil 94 ref 3888 ref 365 ref 3896 remove appTerm 3894 remove appTerm appTerm nil cons cons nil cons nil cons cons 553 ref subst trans absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym 417 ref 418 ref 417 ref 419 ref 417 ref 599 ref 417 ref 600 ref 417 ref 646 ref 651 ref 690 ref nil 3891 ref 302 ref 457 ref cons nil cons 3897 def cons 3898 def nil cons cons 3416 ref subst appThm nil 3498 remove nil cons cons 3416 ref subst appThm appThm 690 ref nil 3892 remove nil cons cons 3416 ref subst appThm nil 3893 remove nil cons cons 3416 ref subst appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym 417 ref 418 ref 417 ref 419 ref 417 ref 599 ref 417 ref 600 ref 417 ref 646 ref 64 ref 365 ref 3879 ref 420 ref appTerm 3899 def appTerm 3501 ref 601 ref appTerm 3900 def appTerm 3901 def appTerm refl 690 ref nil 3420 ref 655 ref cons 3902 def 3574 ref 3822 ref cons 3903 def cons nil cons cons 3583 ref subst appThm nil 3902 ref 303 ref 606 ref cons 3904 def 3586 ref cons 3905 def cons nil cons cons 3906 def 3583 ref subst appThm nil 3502 ref 3900 ref nil cons cons 3500 ref 655 ref cons 3907 def 3504 ref 3899 ref nil cons cons nil cons cons cons nil cons cons 3612 ref subst trans appThm nil 94 ref 3901 remove nil cons cons nil cons nil cons cons 2485 ref subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans absThm appThm 554 ref trans absThm appThm 554 ref trans absThm appThm 554 ref trans sym 100 ref eqMp eqMp eqMp eqMp nil 59 ref 291 ref 3866 remove appTerm nil cons cons 60 ref 3867 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 3869 remove cons 3717 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3865 remove nil cons cons 60 ref 3864 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 3863 remove nil cons cons 293 ref 3760 ref nil cons 3908 def cons nil cons 3909 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3862 remove nil cons cons 60 ref 3861 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 3860 remove nil cons cons 3650 ref cons nil cons cons 163 ref subst eqMp eqMp 3910 def subst eqMp eqMp nil 59 ref 3661 remove 3772 ref appTerm nil cons cons 60 ref 373 ref 3772 ref appTerm 3767 ref appTerm nil cons cons nil cons 3911 def cons nil cons cons 152 ref subst proveHyp 3853 remove 123 ref subst 3912 def nil 59 ref 3851 remove cons 3913 def 3911 remove cons nil cons cons 132 ref subst proveHyp nil 3849 ref nil cons nil cons cons 3914 def 3910 remove subst eqMp eqMp eqMp 385 ref 386 ref 3771 ref nil cons cons 293 ref 3772 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 378 ref 3771 remove appTerm nil cons cons 3769 remove cons nil cons cons 132 ref subst proveHyp nil 562 ref 3767 remove nil cons cons 293 ref 3660 remove nil cons cons nil cons 3915 def cons nil cons cons 562 ref 64 ref 378 ref 294 ref 565 ref absTerm 3916 def appTerm 3917 def appTerm 3918 def 566 ref appTerm 3919 def absTerm 3920 def 563 ref appTerm 3921 def betaConv 293 ref 291 ref 3920 ref appTerm 3922 def absTerm 3923 def 354 ref appTerm 3924 def betaConv 3619 ref nil 3621 ref 60 ref 291 ref 3923 ref appTerm nil cons 3925 def cons nil cons cons nil cons cons 3926 def 132 ref subst proveHyp 3926 ref 81 ref subst 3926 remove 152 ref subst nil 386 ref 3923 remove nil cons cons 3927 def nil cons nil cons cons 3735 ref subst 293 ref nil 94 ref 3922 remove nil cons 3928 def cons nil cons nil cons cons 101 ref subst nil 386 ref 3920 remove nil cons cons 3929 def nil cons nil cons cons 3735 ref subst 562 ref nil 94 ref 3919 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 3917 remove nil cons 3930 def cons 3931 def 60 ref 566 ref nil cons 3932 def cons nil cons 3933 def cons nil cons cons 3934 def 81 ref subst 3934 remove 152 ref subst nil 3621 ref 3933 ref cons nil cons cons 3935 def 132 ref subst nil 3931 remove 60 ref 64 ref 572 remove appTerm 566 remove appTerm 3936 def nil cons 3937 def cons nil cons 3938 def cons nil cons cons 132 ref subst nil 386 ref 294 ref 64 ref 3916 ref 352 ref appTerm 3939 def appTerm 3936 ref appTerm 3940 def absTerm nil cons cons nil cons nil cons cons 3735 ref subst 294 ref nil 94 ref 3940 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 3939 ref nil cons 3941 def cons 3938 ref cons nil cons cons 3942 def 81 ref subst 3942 remove 152 ref subst 3939 ref betaConv 3939 remove assume eqMp nil 59 ref 565 remove nil cons 3943 def cons 3944 def 3938 remove cons nil cons cons 3945 def 132 ref subst proveHyp 3945 ref 81 ref subst 3945 remove 152 ref subst 3935 ref 81 ref subst 3935 remove 152 ref subst nil 3944 remove 3933 remove cons nil cons cons 132 ref subst 567 ref 563 ref appTerm 3946 def betaConv 3947 def 569 ref 352 ref appTerm 3948 def betaConv 3949 def 640 ref nil 3621 remove 60 ref 639 remove nil cons cons nil cons cons nil cons cons 132 ref subst 3950 def 385 ref 386 ref 641 remove cons 388 ref cons nil cons cons 163 ref subst 3951 def eqMp eqMp nil 59 ref 570 remove nil cons cons 60 ref 3948 remove nil cons cons nil cons cons nil cons cons 132 ref subst 3952 def proveHyp 385 ref 386 ref 569 remove nil cons cons 3650 ref cons nil cons cons 163 ref subst 3953 def eqMp eqMp nil 59 ref 568 remove nil cons cons 60 ref 3946 remove nil cons cons nil cons cons nil cons cons 132 ref subst 3954 def proveHyp 385 ref 386 ref 567 remove nil cons cons 293 ref 563 ref nil cons 3955 def cons nil cons 3956 def cons nil cons cons 163 ref subst 3957 def eqMp eqMp eqMp eqMp nil 107 ref 3620 remove cons 3958 def 109 ref 3932 remove cons nil cons 3959 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 3943 remove cons 109 ref 3937 remove cons nil cons 3960 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 3941 remove cons 3960 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 ref 381 ref 64 ref 3916 ref 382 ref appTerm appTerm 3936 ref appTerm absTerm appTerm nil cons cons 60 ref 3918 remove 3936 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 3916 remove nil cons cons 3960 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 3930 remove cons 3959 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 3958 remove 109 ref 3925 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 3925 remove cons 60 ref 3924 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 3927 remove 388 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3928 remove cons 60 ref 3921 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 3929 remove 3956 ref cons nil cons cons 163 ref subst eqMp eqMp 3961 def subst eqMp eqMp nil 107 ref 3764 remove cons 3962 def 109 ref 3768 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 3753 remove cons 60 ref 3747 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 3750 remove 123 ref subst eqMp nil 59 ref 70 ref 3752 remove appTerm 3695 remove appTerm nil cons cons 3731 remove cons nil cons cons 132 ref subst proveHyp nil 562 ref 3666 ref nil cons cons 3963 def 294 ref 3694 remove nil cons cons 3915 remove cons cons nil cons cons 3947 remove 3949 remove 640 remove 3619 remove 3950 remove proveHyp 3951 remove eqMp eqMp 3952 remove proveHyp 3953 remove eqMp eqMp 3954 remove proveHyp 3957 remove eqMp eqMp 3964 def subst eqMp eqMp nil 107 ref 3744 remove cons 3965 def 109 ref 3730 ref cons nil cons 3966 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 3741 remove cons 3966 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 ref 293 ref 64 ref 3707 ref 354 ref appTerm appTerm 3667 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 3708 remove appTerm 3667 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 3707 remove nil cons cons 3967 def 3966 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 3736 remove cons 3966 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 ref 293 ref 64 ref 3709 ref 354 ref appTerm appTerm 3667 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 3710 ref appTerm 3667 ref appTerm nil cons 3968 def cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 3709 remove nil cons cons 3969 def 3966 remove cons nil cons cons 1090 ref subst eqMp nil 59 ref 3968 remove cons 60 ref 64 ref 3667 remove appTerm 3710 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 3730 ref cons 3970 def 60 ref 3729 ref cons nil cons 3971 def cons nil cons cons 3972 def 81 ref subst 3972 remove 152 ref subst nil 3970 remove 60 ref 70 ref 3680 ref 3657 ref appTerm 3973 def appTerm 3682 ref 3659 ref appTerm 3974 def appTerm 3975 def nil cons cons nil cons 3976 def cons nil cons cons 152 ref subst 412 ref 3657 ref appTerm 3977 def betaConv 555 ref nil 557 ref 60 ref 3977 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 424 remove cons 3978 def 3717 ref cons nil cons cons 163 ref subst eqMp eqMp 3979 def nil 59 ref 3973 ref nil cons 3980 def cons 60 ref 3974 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 412 remove 3659 ref appTerm 3981 def betaConv 555 ref nil 557 ref 60 ref 3981 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 3978 ref 3721 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 3982 def eqMp nil 59 ref 3668 remove 3975 ref appTerm nil cons cons 3971 ref cons nil cons cons 132 ref subst proveHyp nil 3691 ref 3720 ref cons 3690 ref 3716 remove cons nil cons 3983 def cons nil cons cons 3984 def nil 3745 remove 3971 remove cons nil cons cons 3985 def 81 ref subst 3985 remove 152 ref subst 3738 remove sym 3743 remove sym 3706 remove assume eqMp 385 ref 3967 remove 293 ref 3755 remove cons nil cons 3986 def cons nil cons cons 279 ref subst proveHyp eqMp 385 ref 3969 remove 293 ref 3757 remove cons nil cons 3987 def cons nil cons cons 279 ref subst proveHyp eqMp nil 3965 remove 109 ref 3729 remove cons nil cons 3988 def cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 107 ref 3730 remove cons 3988 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm appThm trans eqMp eqMp 3989 def subst 3990 def appThm nil 3652 ref 387 ref cons 3991 def 3654 ref 3649 remove cons nil cons 3992 def cons nil cons cons 3993 def 3989 ref subst appThm trans absThm appThm 111 ref 292 ref 294 ref "_17048" 394 ref var 3994 def 398 ref 3679 ref 402 ref appTerm 3995 def 3994 remove varTerm 3996 def appTerm appTerm 3679 ref 3996 remove appTerm 402 ref appTerm appTerm absTerm 3997 def 405 ref appTerm betaConv absThm appThm appThm 574 ref refl 3998 def "y" 394 ref var 3999 def 3997 ref 3999 ref varTerm 4000 def appTerm betaConv absThm appThm appThm nil 3622 ref 3997 remove nil cons cons nil cons nil cons cons 3639 ref 3633 ref appTerm 4001 def betaConv 3646 remove 3648 remove 687 ref subst proveHyp nil 107 ref 3640 remove nil cons 4002 def cons 109 ref 3644 remove nil cons cons nil cons cons nil cons cons 123 ref subst proveHyp nil 59 ref 4002 remove cons 60 ref 4001 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 396 ref cons nil cons 4003 def "P" 573 ref var 4004 def 3639 remove nil cons cons "x" 395 ref var 4005 def 3633 ref nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 4006 def subst eqMp trans absThm appThm 111 ref 292 ref 293 ref "_17050" 394 ref var 4007 def 574 ref 3999 ref 398 ref 3679 ref 4007 remove varTerm 4008 def appTerm 4000 ref appTerm appTerm 3679 ref 4000 ref appTerm 4009 def 4008 remove appTerm appTerm absTerm appTerm absTerm 4010 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 4010 ref 3636 ref appTerm betaConv 4011 def absThm appThm appThm nil 3622 ref 4010 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans nil 386 ref 293 ref 291 ref 294 ref 373 ref 357 ref appTerm 355 remove appTerm 4012 def absTerm 4013 def appTerm 4014 def absTerm nil cons cons nil cons nil cons cons 3735 ref subst 293 ref nil 94 ref 4014 remove nil cons cons nil cons nil cons cons 101 ref subst nil 386 ref 4013 remove nil cons cons nil cons nil cons cons 3735 ref subst 294 ref nil 94 ref 4012 remove nil cons 4015 def cons nil cons nil cons cons 101 ref subst 3847 remove nil 59 ref 3777 remove nil cons cons 60 ref 4015 remove cons nil cons cons nil cons cons 132 ref subst proveHyp 359 remove 294 ref 64 ref 3776 ref 354 ref appTerm 352 ref appTerm 4016 def appTerm 4017 def 375 ref appTerm 4018 def absTerm 4019 def 352 ref appTerm 4020 def betaConv 293 ref 291 ref 4019 ref appTerm 4021 def absTerm 4022 def 354 ref appTerm 4023 def betaConv 292 ref 293 ref 292 ref 294 ref nil 59 ref 4016 ref nil cons 4024 def cons 4025 def 60 ref 376 ref 86 ref appTerm 4026 def nil cons 4027 def cons nil cons cons nil cons cons 4028 def 81 ref subst 4028 remove 152 ref subst 3773 ref 4016 ref assume appThm 352 ref refl appThm nil 3650 ref nil cons cons nil 94 ref 411 ref nil cons 4029 def cons nil cons nil cons cons 101 ref subst 414 remove 555 remove nil 557 remove 60 ref 413 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 3978 remove 388 ref cons nil cons cons 163 ref subst eqMp eqMp 4030 def eqMp 4031 def subst trans eqMp nil 107 ref 4024 ref cons 109 ref 4027 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp 4032 def nil 59 ref 4017 ref 4026 remove appTerm nil cons cons 60 ref 63 ref 4018 remove appTerm 4033 def 4017 ref 86 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil "q'" 16 ref var 4034 def 187 remove cons nil cons nil cons cons 4035 def 4016 ref refl nil 59 ref 63 ref 4016 ref appTerm 4036 def 4016 remove appTerm nil cons cons 60 ref 64 ref 4017 ref 376 remove 4034 ref varTerm 4037 def appTerm 4038 def appTerm appTerm 4033 ref 4017 remove 4037 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil "p'" 16 ref var 4039 def 4024 ref cons nil cons nil cons cons 4034 ref 64 ref 4036 remove 4039 ref varTerm 4040 def appTerm appTerm 64 ref 64 ref 4040 ref appTerm 4041 def 4038 remove appTerm appTerm 4033 remove 4041 ref 4037 ref appTerm 4042 def appTerm appTerm appTerm absTerm 4043 def 4037 ref appTerm 4044 def betaConv 4039 ref 194 ref 4043 ref appTerm 4045 def absTerm 4046 def 4040 ref appTerm 4047 def betaConv nil 60 ref 375 ref nil cons cons 4025 remove nil cons cons nil cons cons nil 197 ref 4039 ref 194 ref 4034 ref 64 ref 1077 remove 4040 ref appTerm 4048 def appTerm 64 ref 4041 ref 63 ref 67 ref appTerm 4037 ref appTerm 4049 def appTerm 4050 def appTerm 69 remove 4042 ref appTerm 4051 def appTerm 4052 def appTerm 4053 def absTerm 4054 def appTerm 4055 def absTerm nil cons cons nil cons nil cons cons 261 ref subst 4039 ref nil 94 ref 4055 remove nil cons cons nil cons nil cons cons 101 ref subst nil 197 ref 4054 remove nil cons cons nil cons nil cons cons 261 ref subst 4034 ref nil 94 ref 4053 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 4048 remove nil cons 4056 def cons 4057 def 60 ref 4052 remove nil cons 4058 def cons nil cons cons nil cons cons 4059 def 81 ref subst 4059 remove 152 ref subst nil 59 ref 4050 ref nil cons 4060 def cons 60 ref 4051 remove nil cons 4061 def cons nil cons cons nil cons cons 4062 def 81 ref subst 4062 remove 152 ref subst nil 1834 ref 60 ref 4042 ref nil cons 4063 def cons nil cons cons nil cons cons 4064 def 1845 ref subst 4064 ref 81 ref subst 4064 remove 152 ref subst nil 59 ref 4040 ref nil cons 4065 def cons 4066 def 60 ref 4037 ref nil cons 4067 def cons nil cons 4068 def cons nil cons cons 4069 def 81 ref subst 4069 ref 152 ref subst nil 4057 ref 60 ref 66 ref 4040 ref appTerm 4070 def nil cons 4071 def cons nil cons cons nil cons cons 132 ref subst nil 59 ref 95 remove cons 60 ref 4065 ref cons nil cons cons nil cons cons 4072 def 1088 ref subst eqMp 4073 def nil 59 ref 4071 ref cons 4074 def 4068 ref cons nil cons cons 4075 def 132 ref subst proveHyp nil 4057 remove 60 ref 4041 ref 65 ref appTerm 4076 def nil cons 4077 def cons nil cons cons nil cons cons 132 ref subst 4072 ref nil 1080 remove 1836 remove cons nil cons cons 4078 def 81 ref subst 4078 remove 152 ref subst 1840 remove eqMp nil 1086 remove 1843 remove cons nil cons cons 123 ref subst deductAntisym eqMp 4079 def subst eqMp 4080 def nil 59 ref 4077 ref cons 4081 def 60 ref 64 ref 4070 ref appTerm 4082 def 4037 ref appTerm nil cons 4083 def cons nil cons cons nil cons cons 4084 def 132 ref subst proveHyp 4084 ref 81 ref subst 4084 remove 152 ref subst 4075 ref 81 ref subst 4075 remove 152 ref subst nil 4066 ref 1841 remove cons nil cons cons 132 ref subst 4076 remove assume eqMp 4085 def 4072 remove 132 ref subst 4070 remove assume eqMp 4086 def 4085 remove proveHyp proveHyp nil 4066 remove 60 ref 4049 remove nil cons 4087 def cons nil cons cons nil cons cons 132 ref subst 4050 remove assume eqMp 4088 def nil 59 ref 4087 remove cons 4089 def 60 ref 977 remove 4037 ref appTerm 4090 def nil cons 4091 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 1837 ref 4068 ref cons nil cons cons 4092 def 1088 ref subst eqMp 4093 def nil 59 ref 4091 ref cons 4094 def 4068 remove cons nil cons cons 4095 def 132 ref subst proveHyp 4088 remove nil 4089 remove 60 ref 64 ref 4037 ref appTerm 67 ref appTerm 4096 def nil cons 4097 def cons nil cons cons nil cons cons 132 ref subst proveHyp 4092 ref 4079 remove subst eqMp 4098 def nil 59 ref 4097 ref cons 4099 def 60 ref 64 ref 4090 ref appTerm 4100 def 4037 ref appTerm nil cons 4101 def cons nil cons cons nil cons cons 4102 def 132 ref subst proveHyp 4102 ref 81 ref subst 4102 remove 152 ref subst 4095 ref 81 ref subst 4095 remove 152 ref subst 131 remove 4092 remove 132 ref subst 4090 remove assume eqMp proveHyp eqMp nil 107 ref 4091 remove cons 4103 def 109 ref 4067 ref cons nil cons 4104 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 4097 remove cons 4105 def 109 ref 4101 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 107 ref 4071 remove cons 4106 def 4104 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 4077 remove cons 4107 def 109 ref 4083 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 107 ref 4065 ref cons 4104 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 1842 ref 109 ref 4063 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 64 ref 68 ref appTerm 4108 def 4042 ref appTerm nil cons cons 60 ref 64 ref 4042 ref appTerm 68 ref appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 4063 ref cons 1082 remove cons nil cons cons 4109 def 81 ref subst 4109 remove 152 ref subst 81 ref 152 ref 4073 remove nil 4074 remove 1838 ref cons nil cons cons 4110 def 132 ref subst proveHyp 4080 remove nil 4081 remove 60 ref 4082 remove 67 ref appTerm nil cons 4111 def cons nil cons cons nil cons cons 4112 def 132 ref subst proveHyp 4112 ref 81 ref subst 4112 remove 152 ref subst 4110 ref 81 ref subst 4110 remove 152 ref subst 4086 remove 4093 remove nil 4094 remove 1838 ref cons nil cons cons 4113 def 132 ref subst proveHyp 4098 remove nil 4099 remove 60 ref 4100 remove 67 ref appTerm nil cons 4114 def cons nil cons cons nil cons cons 4115 def 132 ref subst proveHyp 4115 ref 81 ref subst 4115 remove 152 ref subst 4113 ref 81 ref subst 4113 remove 152 ref subst 4069 remove 132 ref subst 4042 ref assume eqMp nil 59 ref 4067 ref cons 1838 remove cons nil cons cons 132 ref subst 4096 remove assume eqMp proveHyp eqMp nil 4103 remove 110 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 4105 remove 109 ref 4114 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 4106 remove 110 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 4107 remove 109 ref 4111 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp 124 remove deductAntisym eqMp eqMp nil 107 ref 4063 remove cons 1087 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 107 ref 4060 remove cons 109 ref 4061 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 4056 remove cons 109 ref 4058 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp 4116 def subst nil 59 ref 194 ref 4046 ref appTerm nil cons cons 60 ref 4047 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 4046 remove nil cons cons 198 ref 4065 remove cons nil cons 4117 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4045 remove nil cons cons 60 ref 4044 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 4043 remove nil cons cons 198 ref 4067 remove cons nil cons 4118 def cons nil cons cons 163 ref subst eqMp eqMp subst eqMp subst eqMp nil 94 ref 4024 remove cons nil cons nil cons cons 1696 ref subst trans absThm appThm 188 ref 3734 ref 201 ref subst subst 4119 def trans absThm appThm 4119 ref trans sym 100 ref eqMp nil 59 ref 291 ref 4022 ref appTerm nil cons cons 60 ref 4023 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 4022 remove nil cons cons 388 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4021 remove nil cons cons 60 ref 4020 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 4019 remove nil cons cons 3650 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 4120 def nil 574 ref 3635 ref 574 ref 3999 ref 398 ref 3679 ref 3636 ref appTerm 4121 def 4000 ref appTerm 4122 def appTerm 4009 ref 3636 ref appTerm 4123 def appTerm absTerm 4124 def appTerm 4125 def absTerm 4126 def appTerm 4127 def thm 292 ref 293 ref 292 ref 294 ref 292 ref 562 ref nil 294 ref 351 ref 357 ref appTerm 563 ref appTerm 4128 def nil cons cons 293 ref 356 ref 353 remove 563 ref appTerm 4129 def appTerm 4130 def nil cons cons nil cons cons nil cons cons 3651 ref subst 3626 ref nil 3652 ref 4129 ref nil cons cons 3655 ref cons nil cons cons 4131 def 3989 ref subst 3995 ref refl nil 3652 ref 3955 remove cons 4132 def 3992 remove cons nil cons cons 4133 def 3989 ref subst 4134 def appThm trans appThm nil 4132 ref 3654 ref 358 remove cons nil cons 4135 def cons nil cons cons 3989 ref subst 3679 ref refl 4136 def 3990 ref appThm 401 ref 373 ref 563 ref appTerm appTerm 4137 def refl 4138 def appThm trans appThm trans absThm appThm 111 ref 292 ref 562 ref "_17058" 394 ref var 4139 def 398 ref 3995 ref 3679 ref 405 ref appTerm 4140 def 4139 remove varTerm 4141 def appTerm appTerm appTerm 3679 ref 3995 ref 405 ref appTerm 4142 def appTerm 4141 remove appTerm appTerm absTerm 4143 def 4137 ref appTerm betaConv absThm appThm appThm 3998 ref "z" 394 ref var 4144 def 4143 ref 4144 ref varTerm 4145 def appTerm betaConv absThm appThm appThm nil 3622 ref 4143 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 294 ref "_17060" 394 ref var 4146 def 574 ref 4144 ref 398 ref 3995 ref 3679 ref 4146 remove varTerm 4147 def appTerm 4145 ref appTerm appTerm appTerm 3679 ref 3995 ref 4147 remove appTerm appTerm 4145 ref appTerm appTerm absTerm appTerm absTerm 4148 def 405 ref appTerm betaConv absThm appThm appThm 3998 ref 3999 ref 4148 ref 4000 ref appTerm betaConv absThm appThm appThm nil 3622 ref 4148 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 293 ref "_17062" 394 ref var 4149 def 574 ref 3999 ref 574 ref 4144 ref 398 ref 3679 ref 4149 remove varTerm appTerm 4150 def 4009 ref 4145 ref appTerm 4151 def appTerm appTerm 3679 ref 4150 remove 4000 ref appTerm appTerm 4145 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 4152 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 4152 ref 3636 ref appTerm betaConv absThm appThm appThm nil 3622 ref 4152 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 291 ref 294 ref 291 ref 562 ref 373 ref 4130 remove appTerm 4128 remove appTerm absTerm appTerm absTerm appTerm absTerm 4153 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 4153 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 4153 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 291 ref 562 ref 373 ref 3785 ref 4129 ref appTerm appTerm 351 ref 3786 ref appTerm 563 ref appTerm appTerm absTerm appTerm absTerm 4154 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 4154 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 4154 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 111 ref 292 ref 562 ref 562 ref 373 ref 3785 ref 3874 ref 563 ref appTerm 4155 def appTerm appTerm 351 ref 3785 ref 603 ref appTerm 4156 def appTerm 4157 def 563 ref appTerm appTerm absTerm 4158 def 563 ref appTerm betaConv absThm appThm appThm 417 ref 646 ref 417 ref 647 ref 4158 ref 650 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 4158 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 646 ref 417 ref 647 ref 3788 ref 3785 ref refl 3878 ref appThm nil 3880 remove 3883 remove 461 ref cons cons nil cons cons 4159 def 3818 ref subst 3820 ref nil 3902 ref 3904 ref 3897 ref cons 4160 def cons nil cons cons 4161 def 3583 ref subst appThm nil 3890 ref 3891 ref 3586 ref cons 4162 def cons nil cons cons 4163 def 3583 ref subst appThm trans trans appThm 351 ref refl 4164 def 3819 ref appThm 650 ref refl 4165 def appThm nil 654 ref 656 ref 459 ref 3825 ref cons 460 ref 3827 remove cons nil cons cons 4166 def cons cons nil cons cons 3818 ref subst trans appThm nil 293 ref 301 ref 338 ref 3826 remove appTerm 648 ref appTerm appTerm 338 ref 3824 ref appTerm 649 ref appTerm appTerm nil cons cons nil cons nil cons cons 3734 ref 549 ref subst 4167 def subst trans sym 100 ref eqMp nil 59 ref 3776 ref 3785 ref 3874 remove 650 ref appTerm 4168 def appTerm 4169 def appTerm 4157 remove 650 ref appTerm 4170 def appTerm nil cons cons 60 ref 63 ref 373 ref 4169 ref appTerm 4170 ref appTerm appTerm 86 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 294 ref 4170 remove nil cons cons 293 ref 4169 remove nil cons cons nil cons cons nil cons cons 4032 ref subst eqMp absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp eqMp 4171 def nil 574 ref 3635 ref 574 ref 3999 ref 574 ref 4144 ref 398 ref 4121 ref 4151 ref appTerm 4172 def appTerm 3679 ref 4122 ref appTerm 4145 ref appTerm 4173 def appTerm 4174 def absTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 293 ref nil 294 ref 387 ref cons 4175 def 293 ref 351 ref "HOLLight.treal_of_num" "_16859" 3 ref var 4176 def 301 ref "HOLLight.hreal_of_num" 23 ref 305 ref 306 ref 232 ref "HOLLight.nadd_of_num" "_16427" 3 ref var 4177 def 310 ref 7 ref 30 ref 4177 ref varTerm 4178 def appTerm 34 ref appTerm absTerm appTerm absTerm 4179 def defineConst 4180 def pop 1 ref 3 ref 240 remove cons opType constTerm 4181 def 31 ref appTerm 4182 def appTerm 4183 def 323 ref appTerm absTerm appTerm absTerm 4184 def defineConst 4185 def pop 1 ref 3 ref 286 ref cons opType constTerm 4186 def 4176 ref varTerm 4187 def appTerm appTerm 4186 ref 8 ref appTerm 4188 def appTerm absTerm 4189 def defineConst 4190 def pop 1 ref 3 ref 298 remove cons opType constTerm 4191 def 8 ref appTerm 4192 def appTerm 354 ref appTerm 4193 def nil cons cons nil cons cons nil cons cons 3651 ref subst 3626 ref nil 3991 ref 3654 ref 4192 ref nil cons 4194 def cons nil cons 4195 def cons nil cons cons 4196 def 3989 ref subst 4136 ref nil 23 ref 169 ref cons nil cons 4197 def nil cons cons 4198 def 398 ref 401 ref 373 ref 4191 ref 31 ref appTerm 4199 def appTerm 4200 def appTerm 4201 def appTerm "Number.Real.fromNatural" 23 ref 401 ref 3665 ref 4200 ref 3666 ref appTerm absTerm appTerm absTerm 4202 def defineConst 4203 def pop 1 ref 3 ref 399 ref cons opType 4204 def constTerm 4205 def 31 ref appTerm 4206 def appTerm assume sym 398 ref 4206 ref appTerm 4207 def 4201 remove appTerm assume sym deductAntisym 4207 ref refl 4208 def 3686 ref 3687 ref 3688 ref 4200 remove nil cons cons nil cons nil cons cons 2998 ref subst appThm appThm 4208 remove 4202 remove 31 ref appTerm betaConv appThm 4203 remove 31 ref refl 4209 def appThm eqMp eqMp 4210 def eqMp 4211 def subst 4212 def appThm 402 ref refl 4213 def appThm trans appThm 4213 ref appThm trans absThm appThm 111 ref 292 ref 293 ref "_17066" 394 ref var 4214 def 398 ref 3679 ref 4205 ref 8 ref appTerm 4215 def appTerm 4216 def 4214 remove varTerm 4217 def appTerm appTerm 4217 remove appTerm absTerm 4218 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 4218 ref 3636 ref appTerm betaConv 4219 def absThm appThm appThm nil 3622 ref 4218 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 373 ref 4193 remove appTerm 354 ref appTerm absTerm 4220 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 4220 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 4220 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 3773 ref 4164 ref 171 ref nil 4176 remove 166 ref cons nil cons nil cons cons 4190 remove 4187 ref refl appThm 4189 remove 4187 remove appTerm betaConv trans subst 4221 def subst 4222 def appThm 422 ref refl 4223 def appThm nil 455 ref 458 ref 459 ref 4188 ref nil cons 4224 def cons 4225 def 460 ref 4224 ref cons nil cons 4226 def cons 4227 def cons cons nil cons cons 4228 def 3818 ref subst 3820 ref nil 3897 ref nil cons cons 4229 def 302 ref 365 ref 338 ref 4188 ref appTerm 4230 def 328 ref appTerm 4231 def appTerm 328 ref appTerm 4232 def absTerm 4233 def 328 ref appTerm 4234 def betaConv 4235 def 706 ref 219 ref nil 728 ref 219 ref 318 ref 4181 ref 8 ref appTerm 4236 def appTerm 4237 def 233 ref appTerm 4238 def nil cons cons nil cons cons nil cons cons 4239 def 2989 ref subst 690 ref nil 728 ref 219 ref 4236 ref nil cons 4240 def cons nil cons 4241 def cons nil cons cons 4242 def 3367 ref subst 684 ref 4198 ref 365 ref 305 ref 4183 ref appTerm 4243 def appTerm 4186 ref 31 ref appTerm 4244 def appTerm assume sym 365 ref 4244 ref appTerm 4245 def 4243 remove appTerm assume sym deductAntisym 4245 ref refl 4246 def 2994 ref 2995 ref 2996 ref 4183 ref nil cons cons nil cons nil cons cons 2998 ref subst appThm appThm 4246 remove 4184 remove 31 ref appTerm betaConv appThm 4185 remove 4209 remove appThm eqMp eqMp eqMp 4247 def subst 4248 def appThm 714 ref refl 4249 def appThm trans appThm 4249 ref appThm trans absThm appThm 111 ref 706 ref 219 ref "_16799" 285 ref var 4250 def 365 ref 4230 ref 4250 remove varTerm 4251 def appTerm appTerm 4251 remove appTerm absTerm 4252 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 4235 remove absThm appThm appThm nil 659 ref 4252 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 232 ref 4238 remove appTerm 233 ref appTerm 4253 def absTerm 4254 def nil cons cons 4255 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 4253 remove nil cons cons nil cons nil cons cons 101 ref subst 4239 remove 731 ref subst 48 ref 21 ref 49 ref 7 ref 50 ref 51 ref 4242 ref 3281 ref subst 7 ref 3487 ref nil "k" 3 ref var 4256 def 169 ref cons nil cons nil cons cons 4256 ref 3067 ref 224 ref 4181 ref 4256 ref varTerm 4257 def appTerm 4258 def appTerm 4259 def appTerm 7 ref 30 ref 4257 ref appTerm 4260 def 34 ref appTerm 4261 def absTerm 4262 def appTerm absTerm 4263 def 4257 ref appTerm 4264 def betaConv 49 ref 4256 ref 3068 ref 3069 ref nil 4177 remove 4257 ref nil cons 4265 def cons nil cons nil cons cons 4180 remove 4178 ref refl appThm 4179 remove 4178 remove appTerm betaConv trans subst appThm appThm 4262 ref refl appThm nil 3074 ref 4262 ref nil cons 4266 def cons nil cons nil cons cons 3080 ref subst nil 6 ref 4266 remove cons nil cons nil cons cons 47 ref subst 48 ref 21 ref 49 ref 23 ref 49 ref 7 ref 50 ref 51 ref 52 ref 4262 ref 34 ref appTerm betaConv 4267 def appThm appThm 165 ref 4262 remove 31 ref appTerm betaConv appThm appThm appThm 178 ref appThm absThm appThm absThm appThm absThm appThm trans trans trans absThm appThm sym 49 ref 4256 ref 48 ref 21 ref 49 ref 23 ref 49 ref 7 ref 50 ref 51 ref nil 879 ref 166 ref cons 4268 def 7 ref 4265 ref cons 4269 def nil cons cons nil cons cons 879 ref 55 ref 32 ref 3212 ref appTerm 4270 def appTerm 4271 def 35 ref 3186 ref appTerm appTerm absTerm 4272 def 883 ref appTerm 4273 def betaConv 7 ref 22 ref 4272 ref appTerm 4274 def absTerm 4275 def 34 ref appTerm 4276 def betaConv 23 ref 22 ref 4275 ref appTerm 4277 def absTerm 4278 def 31 ref appTerm 4279 def betaConv nil 22 ref 4278 ref appTerm 4280 def axiom nil 59 ref 4280 remove nil cons cons 60 ref 4279 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4278 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4277 remove nil cons cons 60 ref 4276 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4275 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4274 remove nil cons cons 60 ref 4273 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4272 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 4281 def subst appThm nil 879 ref 137 ref cons 4282 def 4269 remove 167 ref cons cons nil cons cons 4281 ref subst 4260 ref refl nil 7 ref 137 ref cons 4283 def 167 ref cons 4284 def nil cons cons 4285 def 7 ref 55 ref 3184 ref appTerm 4286 def 35 ref 31 ref appTerm appTerm absTerm 4287 def 34 ref appTerm 4288 def betaConv 23 ref 22 ref 4287 ref appTerm 4289 def absTerm 4290 def 31 ref appTerm 4291 def betaConv nil 22 ref 4290 ref appTerm 4292 def axiom nil 59 ref 4292 remove nil cons cons 60 ref 4291 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4290 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4289 remove nil cons cons 60 ref 4288 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4287 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4293 def subst 4294 def appThm trans appThm nil 7 ref 4260 ref 3184 ref appTerm nil cons cons nil cons nil cons cons 177 ref subst trans appThm 178 ref appThm 186 remove trans absThm appThm 203 ref trans absThm appThm 203 ref trans absThm appThm 209 ref trans absThm appThm 203 ref trans sym 100 ref eqMp eqMp nil 59 ref 22 ref 4263 ref appTerm nil cons cons 60 ref 4264 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4263 remove nil cons cons 136 ref 4265 ref cons nil cons 4295 def cons nil cons cons 163 ref subst eqMp eqMp 4296 def subst 4297 def 3282 ref appThm 7 ref 30 ref 8 ref appTerm 4298 def 34 ref appTerm 4299 def absTerm 34 ref appTerm betaConv trans 4300 def appThm 733 ref refl 4301 def appThm absThm trans 3282 ref appThm 7 ref 38 ref 4299 ref appTerm 733 ref appTerm absTerm 34 ref appTerm betaConv trans appThm 4301 ref appThm appThm 739 ref appThm absThm appThm absThm appThm trans sym 48 ref 21 ref 49 ref 7 ref 50 ref 51 ref 3487 ref 7 ref 55 ref 4299 ref appTerm 8 ref appTerm absTerm 4302 def 34 ref appTerm 4303 def betaConv nil 22 ref 4302 ref appTerm 4304 def axiom nil 59 ref 4304 remove nil cons cons 60 ref 4303 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4302 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4305 def appThm 4301 ref appThm 737 ref 7 ref 55 ref 38 ref 8 ref appTerm 4306 def 34 ref appTerm appTerm 34 ref appTerm absTerm 4307 def 34 ref appTerm 4308 def betaConv nil 22 ref 4307 ref appTerm 4309 def axiom nil 59 ref 4309 remove nil cons cons 60 ref 4308 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4307 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4310 def subst trans appThm 4301 ref appThm 738 remove trans appThm 739 ref appThm 744 ref trans absThm appThm 203 ref trans absThm appThm 209 ref trans sym 100 ref eqMp eqMp eqMp absThm eqMp 4311 def eqMp 4312 def nil 59 ref 416 ref 4233 ref appTerm nil cons cons 60 ref 4234 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 4233 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp 4313 def subst appThm nil 3586 ref nil cons cons 4314 def 4313 ref subst 4315 def appThm trans trans appThm 4223 ref appThm 552 remove trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp eqMp 4316 def nil 574 ref 3635 ref 398 ref 4216 remove 3636 ref appTerm appTerm 3636 ref appTerm absTerm 4317 def appTerm 4318 def thm 292 ref 293 ref nil 294 ref 4194 remove cons 4319 def 293 ref 351 ref "HOLLight.treal_neg" "_16864" 288 ref var 4320 def 301 ref 345 ref 4320 ref varTerm 4321 def appTerm appTerm 341 ref 4321 ref appTerm appTerm absTerm 4322 def defineConst 4323 def pop 349 ref constTerm 4324 def 354 ref appTerm 4325 def appTerm 354 ref appTerm 4326 def nil cons cons nil cons cons nil cons cons 3651 ref subst 3626 ref nil 3991 ref 3654 ref 4325 remove nil cons cons nil cons cons nil cons cons 3989 ref subst 4136 ref nil 3655 ref nil cons cons 398 ref 401 ref 373 ref 4324 ref 3657 ref appTerm 4327 def appTerm 4328 def appTerm 4329 def appTerm "Number.Real.~" 3663 ref 401 ref 3665 ref 378 ref 3654 ref 70 ref 4328 ref 3666 ref appTerm 4330 def appTerm 4331 def 3670 remove appTerm absTerm appTerm absTerm appTerm absTerm 4332 def defineConst 4333 def pop 3676 ref constTerm 4334 def 3681 ref appTerm 4335 def appTerm assume sym 398 ref 4335 remove appTerm 4336 def 4329 remove appTerm assume sym deductAntisym 4336 ref refl 3686 ref 3687 ref 3688 ref 4328 ref nil cons cons nil cons nil cons cons 2998 ref subst appThm appThm 63 ref "_17028" 289 ref var 4337 def 4336 ref 401 ref 3665 ref 378 ref 3690 ref 70 ref 373 ref 4324 ref 3692 ref appTerm 4338 def appTerm 3666 ref appTerm 4339 def appTerm 4340 def 4337 remove varTerm 3692 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 4341 def 3697 ref appTerm 4342 def appTerm refl 4341 ref 3680 ref appTerm betaConv appThm 111 ref 4342 remove betaConv appThm 4336 remove 401 ref 3665 ref 378 ref 3690 ref 4340 remove 3702 ref appTerm 4343 def absTerm 4344 def appTerm 4345 def absTerm appTerm appTerm refl appThm trans 4341 remove refl 3719 ref appThm eqMp nil 3723 remove nil cons nil cons cons 398 ref 4334 ref 3669 ref appTerm appTerm refl 4332 remove 3669 ref appTerm betaConv appThm 4333 remove 3727 ref appThm eqMp subst eqMp 3686 ref 3665 ref nil 59 ref 4345 ref nil cons 4346 def cons 60 ref 4330 ref nil cons 4347 def cons nil cons 4348 def cons nil cons cons 1845 ref subst nil 386 ref 3690 ref 64 ref 4344 ref 3692 ref appTerm 4349 def appTerm 4330 ref appTerm 4350 def absTerm nil cons cons nil cons nil cons cons 3735 ref subst 3690 ref nil 94 ref 4350 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 4349 ref nil cons 4351 def cons 4348 ref cons nil cons cons 4352 def 81 ref subst 4352 remove 152 ref subst 4349 ref betaConv 4353 def 4349 remove assume eqMp nil 59 ref 4343 ref nil cons 4354 def cons 4355 def 4348 ref cons nil cons cons 4356 def 132 ref subst proveHyp 4356 ref 81 ref subst 4356 remove 152 ref subst nil 107 ref 4339 ref nil cons 4357 def cons 109 ref 3702 remove nil cons 4358 def cons nil cons cons nil cons cons 4359 def 687 ref subst nil 59 ref 4358 remove cons 60 ref 4328 ref 4338 ref appTerm 4360 def nil cons 4361 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 3758 remove nil cons cons 3756 ref 3858 ref 4328 remove 4324 ref 3760 ref appTerm 4362 def appTerm appTerm absTerm 4363 def 3760 ref appTerm 4364 def betaConv 3654 ref 291 ref 4363 ref appTerm 4365 def absTerm 4366 def 3657 ref appTerm 4367 def betaConv 4368 def 111 ref 292 ref 3654 ref 4368 remove absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 4366 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 4366 ref nil cons 4369 def cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 3756 ref 3756 ref 3870 ref 373 ref 4324 remove 422 ref appTerm appTerm 4362 remove appTerm appTerm absTerm 4370 def 3760 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 4370 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 4370 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 3876 ref 3773 ref nil 3497 remove 3897 ref cons nil cons cons nil 4320 remove 301 ref 328 ref appTerm 4371 def 331 ref appTerm 4372 def nil cons 4373 def cons nil cons nil cons cons 4323 remove 4321 ref refl appThm 4322 remove 4321 remove appTerm betaConv trans subst 3776 ref "_16870" 285 ref var 4374 def 301 ref 4374 ref varTerm appTerm 4375 def 328 ref appTerm absTerm 331 ref appTerm 4376 def appTerm refl 4374 ref 4375 ref 341 ref 4372 ref appTerm 4377 def appTerm absTerm 4378 def 345 ref 4372 ref appTerm 4379 def appTerm betaConv appThm 3788 ref 4376 remove betaConv appThm 301 ref 4379 ref appTerm 4377 ref appTerm refl appThm trans 3798 ref "_16869" 285 ref var 4380 def 4374 remove 4375 remove 4380 remove varTerm appTerm absTerm absTerm 4381 def 328 ref appTerm 4382 def appTerm refl 4381 ref 4377 ref appTerm betaConv appThm 3805 ref 4382 remove betaConv appThm 4378 remove refl appThm trans 4381 remove refl nil 419 ref 3414 ref cons 418 ref 3412 ref cons nil cons 4383 def cons nil cons cons 4384 def 524 remove subst sym 4385 def appThm eqMp 4384 remove 535 remove subst sym 4386 def appThm eqMp sym trans 4387 def subst 4388 def appThm nil 3891 ref 3422 ref cons nil cons cons 4387 remove subst appThm nil 453 ref 606 ref cons 456 ref 604 ref cons 459 ref 457 ref cons 460 ref 454 ref cons nil cons cons 4389 def cons cons nil cons cons 542 ref subst trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm trans sym nil 659 ref 418 ref 416 ref 419 ref 416 ref 599 ref 416 ref 600 ref 3888 ref 365 ref 3900 ref appTerm 3899 ref appTerm 4390 def appTerm 4391 def absTerm 4392 def appTerm 4393 def absTerm 4394 def appTerm 4395 def absTerm 4396 def appTerm 4397 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 418 ref nil 94 ref 4397 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 4396 remove nil cons cons nil cons nil cons cons 679 ref subst 419 ref nil 94 ref 4395 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 4394 remove nil cons cons nil cons nil cons cons 679 ref subst 599 ref nil 94 ref 4393 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 4392 remove nil cons cons nil cons nil cons cons 679 ref subst 600 ref nil 94 ref 4391 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 634 ref cons 4398 def 60 ref 4390 remove nil cons 4399 def cons nil cons cons nil cons cons 4400 def 81 ref subst 4400 remove 152 ref subst 690 ref nil 3905 ref nil cons cons 4401 def 3416 ref subst 4402 def appThm nil 3903 remove nil cons cons 4403 def 3416 ref subst 4404 def appThm sym 365 ref 615 ref appTerm refl 633 ref assume 4405 def appThm nil 617 remove nil cons cons 4406 def 550 ref subst trans sym 100 ref eqMp eqMp eqMp nil 685 ref 109 ref 4399 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 291 ref 4366 remove appTerm nil cons cons 60 ref 4367 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 4369 remove cons 3717 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4365 remove nil cons cons 60 ref 4364 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 4363 remove nil cons cons 3909 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 4361 remove cons 60 ref 4357 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 4359 remove 123 ref subst eqMp nil 59 ref 70 ref 4360 remove appTerm 4339 remove appTerm nil cons cons 4348 remove cons nil cons cons 132 ref subst proveHyp nil 3963 ref 294 ref 4338 remove nil cons cons 293 ref 4327 remove nil cons cons nil cons cons cons nil cons cons 3964 ref subst eqMp eqMp nil 107 ref 4354 remove cons 4407 def 109 ref 4347 ref cons nil cons 4408 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 4351 remove cons 4408 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 ref 293 ref 64 ref 4344 ref 354 ref appTerm appTerm 4330 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 4345 ref appTerm 4330 ref appTerm nil cons 4409 def cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 4344 remove nil cons cons 4410 def 4408 remove cons nil cons cons 1090 ref subst eqMp nil 59 ref 4409 remove cons 60 ref 64 ref 4330 remove appTerm 4345 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 4347 ref cons 4411 def 60 ref 4346 ref cons nil cons 4412 def cons nil cons cons 4413 def 81 ref subst 4413 remove 152 ref subst nil 4411 remove 60 ref 3980 remove cons nil cons cons nil cons cons 152 ref subst 3979 remove eqMp nil 59 ref 4331 remove 3973 remove appTerm nil cons cons 4412 ref cons nil cons cons 132 ref subst proveHyp nil 3983 remove nil cons cons nil 4355 remove 4412 remove cons nil cons cons 4414 def 81 ref subst 4414 remove 152 ref subst 4353 remove sym 4343 remove assume eqMp 385 ref 4410 remove 3987 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 4407 remove 109 ref 4346 remove cons nil cons 4415 def cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 107 ref 4347 remove cons 4415 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm appThm trans eqMp eqMp subst appThm 4213 ref appThm trans appThm 4212 ref appThm trans absThm appThm 111 ref 292 ref 293 ref "_17070" 394 ref var 4416 def 398 ref 3679 ref 4334 ref 4416 remove varTerm 4417 def appTerm appTerm 4417 remove appTerm appTerm 4215 ref appTerm absTerm 4418 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 4418 ref 3636 ref appTerm betaConv 4419 def absThm appThm appThm nil 3622 ref 4418 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 373 ref 4326 remove appTerm 4192 ref appTerm absTerm 4420 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 4420 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 4420 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 3773 ref 4164 ref 4388 remove appThm 4223 ref appThm nil 455 ref 458 ref 4389 remove cons cons nil cons cons 3818 ref subst 3820 ref nil 3574 remove 3586 ref cons nil cons cons 3416 ref subst appThm 544 remove refl appThm trans trans appThm 4222 ref appThm nil 453 ref 4224 ref cons 4421 def 456 ref 4224 ref cons 4422 def 459 ref 545 ref cons 460 ref 545 ref cons nil cons cons cons cons nil cons cons 542 ref subst 690 ref nil 3502 ref 545 remove cons nil cons nil cons cons 3502 ref 365 ref 3592 ref 4188 ref appTerm 4423 def appTerm 3509 ref appTerm 4424 def absTerm 4425 def 3509 ref appTerm 4426 def betaConv 417 ref 3502 ref 690 ref nil 303 ref 4224 ref cons 4427 def 3606 ref cons nil cons cons 3416 ref subst appThm 3509 ref refl appThm absThm appThm sym 4312 ref eqMp 4428 def nil 59 ref 416 ref 4425 ref appTerm nil cons cons 60 ref 4426 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 4425 remove nil cons cons 3606 ref cons nil cons cons 163 ref subst eqMp eqMp 4429 def subst appThm 546 ref 4313 ref subst appThm 551 ref trans trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp eqMp 4430 def nil 574 ref 3635 ref 398 ref 3679 ref 4334 ref 3636 ref appTerm 4431 def appTerm 4432 def 3636 ref appTerm appTerm 4215 ref appTerm absTerm 4433 def appTerm 4434 def thm 292 ref 293 ref 292 ref 294 ref nil 294 ref "HOLLight.treal_mul" "_16895" 288 ref var 4435 def "_16896" 288 ref var 4436 def 301 ref 338 ref "HOLLight.hreal_mul" 302 ref 303 ref 305 ref 306 ref 218 ref 219 ref 218 ref 307 ref 70 ref 232 ref "HOLLight.nadd_mul" "_16464" 214 ref var 4437 def "_16465" 214 ref var 4438 def 310 ref 7 ref 224 ref 4437 ref varTerm 4439 def appTerm 224 ref 4438 ref varTerm 4440 def appTerm 34 ref appTerm appTerm absTerm appTerm absTerm 4441 def absTerm 4442 def defineConst 4443 def pop 317 ref constTerm 4444 def 233 ref appTerm 4445 def 320 ref appTerm 4446 def appTerm 4447 def 323 ref appTerm 4448 def appTerm 4449 def 332 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 4450 def absTerm 4451 def defineConst 4452 def pop 337 remove constTerm 4453 def 341 ref 4435 ref varTerm 4454 def appTerm appTerm 4455 def 341 ref 4436 ref varTerm 4456 def appTerm 4457 def appTerm appTerm 4453 ref 345 ref 4454 ref appTerm appTerm 4458 def 345 ref 4456 ref appTerm 4459 def appTerm appTerm appTerm 338 ref 4455 remove 4459 remove appTerm appTerm 4458 remove 4457 remove appTerm appTerm appTerm absTerm 4460 def absTerm 4461 def defineConst 4462 def pop 350 ref constTerm 4463 def 352 ref appTerm 4464 def 354 ref appTerm 4465 def nil cons cons 293 ref 4463 ref 354 ref appTerm 4466 def 352 ref appTerm 4467 def nil cons 4468 def cons nil cons cons nil cons cons 4469 def 3651 ref subst 3626 ref 3656 ref 398 ref 401 ref 373 ref 4463 ref 3657 ref appTerm 4470 def 3659 ref appTerm 4471 def appTerm 4472 def appTerm 4473 def appTerm "Number.Real.*" 3663 ref 3664 ref 401 ref 3665 ref 378 ref 3654 ref 378 ref 3652 ref 70 ref 4472 ref 3666 ref appTerm 4474 def appTerm 4475 def 3672 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 4476 def absTerm 4477 def defineConst 4478 def pop 3678 ref constTerm 4479 def 3681 ref appTerm 3683 ref appTerm 4480 def appTerm assume sym 398 ref 4480 remove appTerm 4481 def 4473 remove appTerm assume sym deductAntisym 4481 ref refl 3686 ref 3687 ref 3688 ref 4472 ref nil cons cons nil cons nil cons cons 2998 ref subst appThm appThm 63 ref "_17035" 289 ref var 4482 def 4481 ref 401 ref 3665 ref 378 ref 3690 ref 378 ref 3691 ref 70 ref 373 ref 4463 ref 3692 ref appTerm 3693 ref appTerm 4483 def appTerm 3666 ref appTerm 4484 def appTerm 4485 def 3698 ref 4482 ref varTerm 3693 ref appTerm 4486 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 3700 ref appTerm 4487 def appTerm refl 4482 ref 4481 ref 401 ref 3665 ref 378 ref 3690 ref 378 ref 3691 ref 4485 ref 3703 ref 4486 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 4488 def 3682 ref appTerm betaConv appThm 111 ref 4487 remove betaConv appThm 4481 ref 401 ref 3665 ref 378 ref 3690 ref 378 ref 3691 ref 4485 ref 3705 ref appTerm 4489 def absTerm 4490 def appTerm 4491 def absTerm 4492 def appTerm 4493 def absTerm appTerm appTerm refl appThm trans 3711 ref "_17034" 289 ref var 4494 def 4482 remove 4481 remove 401 ref 3665 ref 378 ref 3690 ref 378 ref 3691 ref 4485 remove 70 ref 4494 remove varTerm 3692 ref appTerm appTerm 4486 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm absTerm 4495 def 3697 ref appTerm 4496 def appTerm refl 4495 ref 3680 ref appTerm betaConv appThm 3715 ref 4496 remove betaConv appThm 4488 remove refl appThm trans 4495 remove refl 3719 ref appThm eqMp 3722 ref appThm eqMp 3724 ref 398 ref 4479 ref 3669 ref appTerm 4497 def 3671 ref appTerm appTerm refl 4476 remove 3671 ref appTerm betaConv appThm 3726 ref 4497 remove appTerm refl 4477 remove 3669 ref appTerm betaConv appThm 4478 remove 3727 ref appThm eqMp 3728 ref appThm eqMp subst eqMp 3686 ref 3665 ref nil 59 ref 4493 ref nil cons 4498 def cons 60 ref 4474 ref nil cons 4499 def cons nil cons 4500 def cons nil cons cons 1845 ref subst nil 386 ref 3690 ref 64 ref 4492 ref 3692 ref appTerm 4501 def appTerm 4474 ref appTerm 4502 def absTerm nil cons cons nil cons nil cons cons 3735 ref subst 3690 ref nil 94 ref 4502 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 4501 ref nil cons 4503 def cons 4500 ref cons nil cons cons 4504 def 81 ref subst 4504 remove 152 ref subst 4501 ref betaConv 4505 def 4501 remove assume eqMp nil 59 ref 4491 ref nil cons cons 4500 ref cons nil cons cons 132 ref subst proveHyp nil 386 ref 3691 ref 64 ref 4490 ref 3693 ref appTerm 4506 def appTerm 4474 ref appTerm 4507 def absTerm nil cons cons nil cons nil cons cons 3735 ref subst 3691 ref nil 94 ref 4507 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 4506 ref nil cons 4508 def cons 4500 ref cons nil cons cons 4509 def 81 ref subst 4509 remove 152 ref subst 4506 ref betaConv 4510 def 4506 remove assume eqMp nil 59 ref 4489 ref nil cons 4511 def cons 4512 def 4500 ref cons nil cons cons 4513 def 132 ref subst proveHyp 4513 ref 81 ref subst 4513 remove 152 ref subst nil 107 ref 4484 ref nil cons 4514 def cons 3749 ref cons nil cons cons 4515 def 687 ref subst nil 3751 ref 60 ref 4472 ref 4483 ref appTerm 4516 def nil cons 4517 def cons nil cons cons nil cons cons 132 ref subst proveHyp 3759 ref nil 3765 ref 60 ref 4472 ref 4463 ref 3760 ref appTerm 4518 def 3762 ref appTerm 4519 def appTerm nil cons 4520 def cons nil cons 4521 def cons nil cons cons 4522 def 81 ref subst 4522 remove 152 ref subst 294 ref 70 ref 4472 ref 352 ref appTerm appTerm 404 remove 4519 ref appTerm appTerm absTerm 4523 def 4470 ref 3762 ref appTerm 4524 def appTerm betaConv sym 3773 ref 3775 remove 294 ref 3776 ref 4467 ref appTerm 4465 ref appTerm 4525 def absTerm 4526 def 352 ref appTerm 4527 def betaConv 293 ref 291 ref 4526 ref appTerm 4528 def absTerm 4529 def 354 ref appTerm 4530 def betaConv 4531 def 111 ref 292 ref 293 ref 4531 remove absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 4529 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 4529 ref nil cons 4532 def cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 3776 ref 4463 ref 422 ref appTerm 4533 def 352 ref appTerm 4534 def appTerm 4464 ref 422 ref appTerm appTerm absTerm 4535 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 4535 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 4535 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 3788 ref 608 ref nil 4435 remove 467 ref cons 4436 remove 471 ref cons nil cons cons nil cons cons 4462 remove 4454 ref refl appThm 4461 remove 4454 remove appTerm betaConv trans 4456 ref refl appThm 4460 remove 4456 remove appTerm betaConv trans subst 3776 ref "_16912" 285 ref var 4536 def 301 ref 338 ref 4453 ref 463 ref appTerm 4537 def 468 ref appTerm appTerm 4453 ref 465 ref appTerm 4538 def 4536 ref varTerm 4539 def appTerm 4540 def appTerm appTerm 338 ref 4537 ref 4539 ref appTerm appTerm 4541 def 4538 ref 468 ref appTerm appTerm appTerm absTerm 469 ref appTerm 4542 def appTerm refl 4536 ref 301 ref 338 ref 4453 ref 479 ref appTerm 4543 def 482 ref appTerm appTerm 4544 def 4453 ref 483 ref appTerm 4545 def 4539 ref appTerm 4546 def appTerm appTerm 338 ref 4543 ref 4539 ref appTerm appTerm 4547 def 4545 ref 482 ref appTerm 4548 def appTerm appTerm absTerm 4549 def 486 ref appTerm betaConv appThm 3788 ref 4542 remove betaConv appThm 301 ref 4544 remove 4545 ref 486 ref appTerm appTerm appTerm 338 ref 4543 ref 486 ref appTerm appTerm 4548 remove appTerm appTerm refl appThm trans 3798 ref "_16911" 285 ref var 4550 def 4536 ref 301 ref 338 ref 4537 remove 4550 ref varTerm 4551 def appTerm appTerm 4552 def 4540 remove appTerm appTerm 4541 ref 4538 remove 4551 ref appTerm appTerm appTerm absTerm absTerm 468 ref appTerm 4553 def appTerm refl 4550 ref 4536 ref 301 ref 338 ref 4543 remove 4551 ref appTerm appTerm 4554 def 4546 remove appTerm appTerm 4547 ref 4545 remove 4551 ref appTerm appTerm appTerm absTerm absTerm 4555 def 482 ref appTerm betaConv appThm 3805 ref 4553 remove betaConv appThm 4549 remove refl appThm trans 3806 remove "_16910" 285 ref var 4556 def 4550 ref 4536 ref 301 ref 4552 remove 4453 ref 4556 ref varTerm appTerm 4557 def 4539 ref appTerm 4558 def appTerm appTerm 4541 remove 4557 remove 4551 ref appTerm 4559 def appTerm appTerm absTerm absTerm absTerm 465 ref appTerm 4560 def appTerm refl 4556 ref 4550 ref 4536 ref 301 ref 4554 remove 4558 ref appTerm appTerm 4547 remove 4559 ref appTerm appTerm absTerm absTerm absTerm 4561 def 483 ref appTerm betaConv appThm 3811 remove 4560 remove betaConv appThm 4555 remove refl appThm trans 3813 remove "_16909" 285 ref var 4562 def 4556 remove 4550 remove 4536 remove 301 ref 338 ref 4453 ref 4562 remove varTerm appTerm 4563 def 4551 remove appTerm appTerm 4558 remove appTerm appTerm 338 ref 4563 remove 4539 remove appTerm appTerm 4559 remove appTerm appTerm absTerm absTerm absTerm absTerm 4564 def 463 ref appTerm 4565 def appTerm refl 4564 ref 479 ref appTerm betaConv appThm 3817 remove 4565 remove betaConv appThm 4561 remove refl appThm trans 4564 remove refl 525 ref appThm eqMp 536 ref appThm eqMp 540 ref appThm eqMp 541 ref appThm eqMp sym trans 4566 def subst 4567 def 301 ref 338 ref 4453 ref 420 ref appTerm 4568 def 601 ref appTerm 4569 def appTerm 4570 def 4453 ref 421 ref appTerm 4571 def 602 ref appTerm 4572 def appTerm 4573 def appTerm 4574 def refl 338 ref 4568 ref 602 ref appTerm 4575 def appTerm 4576 def refl 4577 def 4401 remove 303 ref 365 ref 4453 ref 328 ref appTerm 4578 def 331 ref appTerm 4579 def appTerm 4580 def 4453 ref 331 ref appTerm 4581 def 328 ref appTerm appTerm absTerm 4582 def 331 ref appTerm 4583 def betaConv 302 ref 416 ref 4582 ref appTerm 4584 def absTerm 4585 def 328 ref appTerm 4586 def betaConv 4587 def 706 ref 219 ref 706 ref 307 ref nil 307 ref 4444 ref 320 ref appTerm 4588 def 233 ref appTerm 4589 def nil cons 4590 def cons 219 ref 4446 ref nil cons cons nil cons 4591 def cons nil cons cons 4592 def 2989 ref subst 690 ref 365 ref 305 ref 4447 ref appTerm 4593 def appTerm 4453 ref 714 ref appTerm 4594 def 717 ref appTerm 4595 def appTerm assume sym 365 ref 4595 ref appTerm 4596 def 4593 remove appTerm assume sym deductAntisym 4596 ref refl 2994 ref 2995 ref 2996 ref 4447 ref nil cons cons nil cons nil cons cons 2998 ref subst appThm appThm 63 ref "_16686" 215 ref var 4597 def 4596 ref 305 ref 306 ref 218 ref 236 ref 218 ref 3000 ref 70 ref 232 ref 4444 ref 237 ref appTerm 4598 def 3001 ref appTerm 4599 def appTerm 323 ref appTerm 4600 def appTerm 4601 def 3006 ref 4597 ref varTerm 3001 ref appTerm 4602 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 3008 ref appTerm 4603 def appTerm refl 4597 ref 4596 ref 305 ref 306 ref 218 ref 236 ref 218 ref 3000 ref 4601 ref 3011 ref 4602 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 4604 def 716 ref appTerm betaConv appThm 111 ref 4603 remove betaConv appThm 4596 ref 305 ref 306 ref 218 ref 236 ref 218 ref 3000 ref 4601 ref 3014 ref appTerm 4605 def absTerm 4606 def appTerm 4607 def absTerm 4608 def appTerm 4609 def absTerm appTerm appTerm refl appThm trans 3020 ref "_16685" 215 ref var 4610 def 4597 remove 4596 remove 305 ref 306 ref 218 ref 236 ref 218 ref 3000 ref 4601 remove 70 ref 4610 remove varTerm 237 ref appTerm appTerm 4602 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm absTerm 4611 def 3005 ref appTerm 4612 def appTerm refl 4611 ref 234 ref appTerm betaConv appThm 3024 ref 4612 remove betaConv appThm 4604 remove refl appThm trans 4611 remove refl 3025 ref appThm eqMp 3027 ref appThm eqMp 3029 ref 4580 remove refl 4450 remove 331 ref appTerm betaConv appThm 3030 remove 4578 ref appTerm refl 4451 remove 328 ref appTerm betaConv appThm 4452 remove 3031 ref appThm eqMp 3032 ref appThm eqMp subst eqMp 2994 ref 306 ref nil 59 ref 4609 ref nil cons 4613 def cons 60 ref 4448 ref nil cons 4614 def cons nil cons 4615 def cons nil cons cons 1845 ref subst nil 243 ref 236 ref 64 ref 4608 ref 237 ref appTerm 4616 def appTerm 4448 ref appTerm 4617 def absTerm 4618 def nil cons cons nil cons nil cons cons 727 ref subst 236 ref nil 94 ref 4617 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 4616 ref nil cons 4619 def cons 4615 ref cons nil cons cons 4620 def 81 ref subst 4620 remove 152 ref subst 4616 ref betaConv 4621 def 4616 remove assume eqMp nil 59 ref 4607 ref nil cons cons 4615 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 3000 ref 64 ref 4606 ref 3001 ref appTerm 4622 def appTerm 4448 ref appTerm 4623 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 3000 ref nil 94 ref 4623 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 4622 ref nil cons 4624 def cons 4615 ref cons nil cons cons 4625 def 81 ref subst 4625 remove 152 ref subst 4622 ref betaConv 4626 def 4622 remove assume eqMp nil 59 ref 4605 ref nil cons 4627 def cons 4628 def 4615 ref cons nil cons cons 4629 def 132 ref subst proveHyp 4629 ref 81 ref subst 4629 remove 152 ref subst nil 107 ref 4600 ref nil cons 4630 def cons 3052 ref cons nil cons cons 4631 def 687 ref subst nil 3054 ref 60 ref 4447 ref 4599 ref appTerm 4632 def nil cons 4633 def cons nil cons 4634 def cons nil cons cons 4635 def 132 ref subst proveHyp 4635 ref 81 ref subst 4635 ref 152 ref subst nil 107 ref 3010 ref nil cons 4636 def cons 109 ref 3013 ref nil cons 4637 def cons nil cons cons nil cons cons 4638 def 123 ref subst 4639 def 4638 remove 687 ref subst 4640 def "y''" 214 ref var 4641 def 70 ref 4447 ref 4641 remove varTerm 4642 def appTerm appTerm 232 ref 4642 remove appTerm 4599 ref appTerm appTerm absTerm 4643 def 4598 remove 320 ref appTerm 4644 def appTerm betaConv sym 3000 ref 70 ref 4447 ref 3001 ref appTerm appTerm 4645 def 232 ref 3001 ref appTerm 4646 def 4644 ref appTerm appTerm absTerm 4647 def 4588 ref 237 ref appTerm 4648 def appTerm betaConv sym 70 ref 4447 ref 4648 ref appTerm 4649 def appTerm refl nil 3059 remove 783 ref cons nil cons cons nil 94 ref 4447 ref 4589 ref appTerm 4650 def nil cons cons nil cons nil cons cons 101 ref subst 4592 remove 731 ref subst 48 ref 21 ref 49 ref 7 ref 50 ref 51 ref 3068 ref 3069 ref nil 4437 remove 244 ref cons 4438 remove 730 ref cons nil cons cons nil cons cons 4443 remove 4439 ref refl appThm 4442 remove 4439 remove appTerm betaConv trans 4440 ref refl appThm 4441 remove 4440 remove appTerm betaConv trans subst 4651 def appThm appThm 7 ref 732 ref 788 ref appTerm 4652 def absTerm 4653 def refl appThm nil 3074 ref 4653 ref nil cons 4654 def cons nil cons nil cons cons 3080 ref subst nil 6 ref 4654 remove cons nil cons nil cons cons 47 ref subst 48 ref 21 ref 49 ref 23 ref 49 ref 7 ref 50 ref 51 ref 52 ref 4653 ref 34 ref appTerm betaConv 4655 def appThm appThm 165 ref 4653 ref 31 ref appTerm betaConv appThm appThm appThm 178 ref appThm absThm appThm absThm appThm absThm appThm trans trans trans sym 3151 ref nil 3158 ref 60 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 26 ref 29 ref 32 ref 4652 ref appTerm 4656 def appTerm 4657 def 35 ref 732 ref 3127 ref appTerm appTerm 4658 def appTerm 4659 def appTerm 4660 def 41 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm 4661 def nil cons 4662 def cons nil cons 4663 def cons nil cons cons 132 ref subst proveHyp nil 135 ref "b" 3 ref var 4664 def 64 ref 3156 remove 4664 ref varTerm 4665 def appTerm 4666 def appTerm 4661 ref appTerm 4667 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 4664 ref nil 94 ref 4667 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 4666 ref nil cons 4668 def cons 4663 ref cons nil cons cons 4669 def 81 ref subst 4669 remove 152 ref subst 4666 ref betaConv 4666 remove assume eqMp nil 59 ref 22 ref 23 ref 22 ref 7 ref 3155 ref 30 ref 4665 ref appTerm 4670 def 40 ref appTerm 4671 def appTerm 4672 def absTerm 4673 def appTerm 4674 def absTerm 4675 def appTerm nil cons 4676 def cons 4677 def 4663 ref cons nil cons cons 4678 def 132 ref subst proveHyp 4678 ref 81 ref subst 4678 remove 152 ref subst 3124 ref nil 3125 ref 60 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 26 ref 29 ref 732 ref 40 ref appTerm 4679 def appTerm 4680 def 3126 ref 733 ref appTerm 4681 def appTerm 4682 def appTerm 4683 def 36 ref appTerm 4684 def absTerm 4685 def appTerm 4686 def absTerm 4687 def appTerm 4688 def absTerm 4689 def appTerm 4690 def nil cons 4691 def cons nil cons 4692 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 64 ref 3093 remove 36 ref appTerm 4693 def appTerm 4694 def 4690 ref appTerm 4695 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 4695 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 4693 ref nil cons 4696 def cons 4697 def 4692 ref cons nil cons cons 4698 def 81 ref subst 4698 remove 152 ref subst 4693 ref betaConv 4693 remove assume eqMp 4699 def nil 59 ref 3092 ref nil cons 4700 def cons 4701 def 4692 remove cons nil cons cons 4702 def 132 ref subst proveHyp 4702 ref 81 ref subst 4702 remove 152 ref subst 4689 ref 38 ref 30 ref "Number.Natural.bit1" const 5 ref constTerm 4703 def 4703 ref 8 ref appTerm 4704 def appTerm appTerm 36 ref appTerm 4705 def appTerm 732 ref 8 ref appTerm 4706 def appTerm 4707 def appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 4683 ref 4707 ref appTerm 4708 def absTerm 4709 def appTerm 4710 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 4710 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 4709 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 4708 remove nil cons 4711 def cons nil cons nil cons cons 101 ref subst nil 59 ref 1237 ref 3392 ref 8 ref appTerm 4712 def appTerm nil cons 4713 def cons 4714 def 60 ref 4711 ref cons nil cons 4715 def cons nil cons cons 4716 def 81 ref subst 4716 remove 152 ref subst 864 ref 70 ref 4683 ref 865 ref appTerm appTerm 26 ref 865 ref appTerm 4717 def 4707 ref appTerm appTerm absTerm 4718 def 4705 ref appTerm betaConv sym 70 ref 4683 remove 4705 ref appTerm 4719 def appTerm refl nil 7 ref 4706 ref nil cons 4720 def cons 4721 def 23 ref 4705 ref nil cons 4722 def cons 4723 def nil cons cons nil cons cons nil 94 ref 882 ref 40 ref appTerm 4724 def nil cons cons nil cons nil cons cons 101 ref subst 7 ref 4724 remove absTerm 4725 def 34 ref appTerm 4726 def betaConv 23 ref 22 ref 4725 ref appTerm 4727 def absTerm 4728 def 31 ref appTerm 4729 def betaConv nil 22 ref 4728 ref appTerm 4730 def axiom nil 59 ref 4730 remove nil cons cons 60 ref 4729 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4728 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4727 remove nil cons cons 60 ref 4726 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4725 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4731 def eqMp 4732 def subst appThm nil 94 ref 4719 remove nil cons 4733 def cons nil cons nil cons cons 1385 ref subst trans sym nil 4714 remove 60 ref 4733 ref cons nil cons cons nil cons cons 132 ref subst nil 1642 ref 4733 remove cons 1648 ref 4712 ref nil cons 4734 def cons nil cons cons nil cons cons nil 1655 ref 60 ref 63 ref 64 ref 1762 ref appTerm 4735 def 1657 ref appTerm appTerm 1658 ref appTerm nil cons 4736 def cons nil cons 4737 def cons nil cons cons 4738 def 81 ref subst 4738 remove 152 ref subst 63 ref "_16407" 16 ref var 4739 def 63 ref 64 ref 1237 ref 4739 remove varTerm 4740 def appTerm appTerm 1657 ref appTerm appTerm 1337 ref 4740 remove appTerm 1657 ref appTerm appTerm absTerm 4741 def 1651 ref appTerm 4742 def appTerm refl 4743 def 4741 ref 1241 ref appTerm betaConv appThm 111 ref 4742 remove betaConv appThm 4744 def 63 ref 64 ref 1354 ref appTerm 4745 def 1657 ref appTerm appTerm 1670 ref appTerm refl appThm trans 4741 remove refl 4746 def 1672 ref appThm eqMp sym 111 ref 651 ref 1372 ref appThm 2447 ref appThm 2458 remove trans appThm 1675 ref appThm 1681 ref trans sym 100 ref eqMp eqMp eqMp nil 1682 ref 109 ref 4736 ref cons nil cons 4747 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1686 ref 4737 remove cons nil cons cons 4748 def 81 ref subst 4748 remove 152 ref subst 4743 remove "_16405" 16 ref var 4749 def 63 ref 64 ref 1237 ref 4749 remove varTerm 4750 def appTerm appTerm 1657 ref appTerm appTerm 1337 ref 4750 remove appTerm 1657 ref appTerm appTerm absTerm 86 ref appTerm betaConv appThm 4744 remove 63 ref 64 ref 1397 ref appTerm 4751 def 1657 ref appTerm appTerm 1690 ref appTerm refl appThm trans 4746 remove 1691 ref appThm eqMp sym 111 ref 651 ref 1407 ref appThm 4752 def 2447 ref appThm 2445 remove trans appThm 1692 ref appThm 1698 ref trans sym 100 ref eqMp eqMp eqMp nil 1699 ref 4747 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1703 ref nil 1699 ref 1704 ref 1422 ref 4736 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 4753 def subst nil 879 ref 4722 ref cons 7 ref 4682 remove nil cons 4754 def cons 23 ref 3205 ref cons nil cons 4755 def cons cons nil cons cons 879 ref 63 ref 1337 ref 55 ref 31 ref appTerm 4756 def 8 ref appTerm 4757 def appTerm 4758 def 959 ref appTerm 4759 def appTerm 26 ref 3184 ref appTerm 4760 def 3186 ref appTerm 4761 def appTerm 4762 def absTerm 4763 def 883 ref appTerm 4764 def betaConv 7 ref 22 ref 4763 ref appTerm 4765 def absTerm 4766 def 34 ref appTerm 4767 def betaConv 23 ref 22 ref 4766 ref appTerm 4768 def absTerm 4769 def 31 ref appTerm 4770 def betaConv 49 ref 23 ref 49 ref 7 ref 49 ref 879 ref 4762 remove assume sym 63 ref 4761 remove appTerm 4759 remove appTerm 4771 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 22 ref 23 ref 22 ref 7 ref 22 ref 879 ref 4771 remove absTerm 4772 def appTerm 4773 def absTerm 4774 def appTerm 4775 def absTerm 4776 def appTerm 4777 def axiom 4778 def eqMp nil 59 ref 22 ref 4769 ref appTerm nil cons cons 60 ref 4770 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4769 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4768 remove nil cons cons 60 ref 4767 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4766 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4765 remove nil cons cons 60 ref 4764 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4763 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 4779 def subst trans sym 50 ref nil 879 ref 4681 remove nil cons 4780 def cons 7 ref 4679 ref nil cons 4781 def cons 4755 ref cons cons nil cons cons 879 ref 55 ref 32 ref 913 remove appTerm 4782 def appTerm 29 ref 3184 ref appTerm 3186 ref appTerm 4783 def appTerm 4784 def absTerm 4785 def 883 ref appTerm 4786 def betaConv 7 ref 22 ref 4785 ref appTerm 4787 def absTerm 4788 def 34 ref appTerm 4789 def betaConv 23 ref 22 ref 4788 ref appTerm 4790 def absTerm 4791 def 31 ref appTerm 4792 def betaConv nil 22 ref 4791 ref appTerm 4793 def axiom 4794 def nil 59 ref 4793 remove nil cons cons 60 ref 4792 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4791 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4790 remove nil cons cons 60 ref 4789 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4788 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4787 remove nil cons cons 60 ref 4786 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4785 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 4795 def subst 29 ref 3210 ref 4679 ref appTerm appTerm refl nil 879 ref 734 ref cons 4796 def 3202 ref 4755 ref cons cons nil cons cons 3199 ref subst appThm trans appThm 3210 ref 4705 remove appTerm 4797 def refl 4798 def appThm sym 50 ref 51 ref nil 879 ref 4781 ref cons nil cons nil cons cons 3225 ref subst appThm 38 ref 3210 ref 3084 ref appTerm 4799 def appTerm 3210 ref 733 ref appTerm 4800 def appTerm 4801 def refl appThm appThm 4798 remove appThm sym 55 ref refl 4802 def 3210 ref refl 30 ref refl 4803 def 38 ref 4704 ref appTerm 4804 def refl 4805 def nil 170 ref 4197 ref cons nil cons cons 4806 def 7 ref 55 ref 38 ref 4703 ref 31 ref appTerm 4807 def appTerm 4808 def 4703 ref 34 ref appTerm 4809 def appTerm appTerm "Number.Natural.bit0" const 5 ref constTerm 4810 def "Number.Natural.suc" const 5 ref constTerm 4811 def 40 ref appTerm 4812 def appTerm appTerm absTerm 4813 def 34 ref appTerm 4814 def betaConv 23 ref 22 ref 4813 ref appTerm 4815 def absTerm 4816 def 31 ref appTerm 4817 def betaConv 652 ref 49 ref 23 ref 49 ref 7 ref 3392 ref 40 ref appTerm 4818 def refl absThm appThm absThm appThm appThm 652 ref 4802 ref 171 ref 4310 ref subst 4819 def appThm 8 ref refl 4820 def appThm appThm 652 ref 49 ref 7 ref 4802 ref nil 7 ref 4810 ref 34 ref appTerm 4821 def nil cons 4822 def cons nil cons nil cons cons 4823 def 4310 ref subst 4824 def 7 ref 55 ref 4821 ref appTerm 3181 ref 34 ref appTerm 4825 def appTerm 4826 def absTerm 4827 def 34 ref appTerm 4828 def betaConv 4829 def 4802 ref nil 55 ref 4810 ref 8 ref appTerm appTerm 4830 def 8 ref appTerm axiom 4831 def appThm 4819 ref appThm nil 136 ref 169 remove cons nil cons 4832 def nil cons cons 190 ref 549 ref subst 4833 def subst 4834 def trans sym 100 ref eqMp nil 59 ref 4830 remove 4306 ref 8 ref appTerm 4835 def appTerm 4836 def nil cons cons 60 ref 22 ref 7 ref 64 ref 4826 ref appTerm 55 ref 4810 ref 4811 ref 34 ref appTerm 4837 def appTerm 4838 def appTerm 4839 def 38 ref 4837 ref appTerm 4837 ref appTerm appTerm 4840 def appTerm 4841 def absTerm 4842 def appTerm 4843 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 135 ref 4842 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 4841 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 4826 ref nil cons 4844 def cons 60 ref 4840 remove nil cons 4845 def cons nil cons cons nil cons cons 4846 def 81 ref subst 4846 remove 152 ref subst 4802 ref 7 ref 4839 remove 4811 ref 4811 ref 4821 ref appTerm 4847 def appTerm appTerm absTerm 4848 def 34 ref appTerm 4849 def betaConv nil 22 ref 4848 ref appTerm 4850 def axiom nil 59 ref 4850 remove nil cons cons 60 ref 4849 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4848 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4811 ref refl 4851 def 4851 ref 4826 remove assume appThm appThm trans appThm nil 7 ref 4837 ref nil cons 4852 def cons 4853 def 167 ref cons nil cons cons 7 ref 55 ref 38 ref 4811 ref 31 ref appTerm 4854 def appTerm 34 ref appTerm appTerm 4812 ref appTerm absTerm 4855 def 34 ref appTerm 4856 def betaConv 23 ref 22 ref 4855 ref appTerm 4857 def absTerm 4858 def 31 ref appTerm 4859 def betaConv nil 22 ref 4858 ref appTerm 4860 def axiom nil 59 ref 4860 remove nil cons cons 60 ref 4859 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4858 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4857 remove nil cons cons 60 ref 4856 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4855 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4861 def subst 4862 def 4851 ref 168 ref 7 ref 55 ref 39 ref 4837 ref appTerm 4863 def appTerm 4812 ref appTerm absTerm 4864 def 34 ref appTerm 4865 def betaConv 23 ref 22 ref 4864 ref appTerm 4866 def absTerm 4867 def 31 ref appTerm 4868 def betaConv nil 22 ref 4867 ref appTerm 4869 def axiom nil 59 ref 4869 remove nil cons cons 60 ref 4868 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4867 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4866 remove nil cons cons 60 ref 4865 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4864 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4870 def subst appThm 4871 def trans appThm nil 136 ref 4811 ref 4811 ref 4825 ref appTerm 4872 def appTerm nil cons cons nil cons nil cons cons 4833 ref subst 4873 def trans sym 100 ref eqMp eqMp nil 107 ref 4844 remove cons 109 ref 4845 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 59 ref 70 ref 4836 remove appTerm 4843 remove appTerm nil cons cons 60 ref 22 ref 4827 ref appTerm nil cons 4874 def cons nil cons cons nil cons cons 132 ref subst proveHyp 651 ref 652 ref 4827 ref 8 ref appTerm betaConv appThm 49 ref 7 ref 651 ref 4829 ref appThm 4827 ref 4837 ref appTerm betaConv appThm absThm appThm appThm appThm 49 ref 7 ref 4829 remove absThm appThm appThm nil "p" 18 ref var 4875 def 4827 remove nil cons 4876 def cons nil cons nil cons cons 4875 ref 64 ref 70 ref 4875 ref varTerm 4877 def 8 ref appTerm appTerm 22 ref 7 ref 64 ref 4877 ref 34 ref appTerm 4878 def appTerm 4879 def 4877 ref 4837 ref appTerm appTerm absTerm appTerm appTerm appTerm 22 ref 7 ref 4878 remove absTerm 4880 def appTerm appTerm absTerm 4881 def 4877 ref appTerm 4882 def betaConv nil 0 ref 1 ref 19 ref 17 ref cons opType constTerm 4883 def 4881 ref appTerm 4884 def axiom nil 59 ref 4884 remove nil cons cons 60 ref 4882 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 24 remove cons nil cons 4885 def "P" 19 remove var 4886 def 4881 remove nil cons cons "x" 18 ref var 4877 ref nil cons cons nil cons 4887 def cons nil cons cons 163 ref subst eqMp eqMp 4888 def subst eqMp eqMp nil 59 ref 4874 remove cons 60 ref 4828 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4876 remove cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4889 def trans appThm 4889 ref appThm absThm appThm appThm 652 ref 49 ref 7 ref 4802 ref nil 7 ref 4809 ref nil cons 4890 def cons nil cons nil cons cons 4891 def 4310 ref subst 4892 def 7 ref 55 ref 4809 ref appTerm 4847 ref appTerm absTerm 4893 def 34 ref appTerm 4894 def betaConv nil 22 ref 4893 ref appTerm 4895 def axiom nil 59 ref 4895 remove nil cons cons 60 ref 4894 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4893 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4851 ref 4889 ref appThm 4896 def trans 4897 def trans appThm 4897 ref appThm nil 7 ref 4825 ref nil cons 4898 def cons 4899 def 23 ref 4898 ref cons nil cons cons nil cons cons 7 ref 63 ref 55 ref 4854 ref appTerm 4900 def 4837 ref appTerm appTerm 4756 ref 34 ref appTerm 4901 def appTerm absTerm 4902 def 34 ref appTerm 4903 def betaConv 23 ref 22 ref 4902 ref appTerm 4904 def absTerm 4905 def 31 ref appTerm 4906 def betaConv nil 22 ref 4905 ref appTerm 4907 def axiom nil 59 ref 4907 remove nil cons cons 60 ref 4906 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4905 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4904 remove nil cons cons 60 ref 4903 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4902 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4908 def subst 4909 def trans absThm appThm appThm 652 ref 49 ref 7 ref 4802 ref nil 23 ref 4822 remove cons nil cons nil cons cons 4910 def 23 ref 55 ref 39 ref 8 ref appTerm 4911 def appTerm 31 ref appTerm absTerm 4912 def 31 ref appTerm 4913 def betaConv nil 22 ref 4912 ref appTerm 4914 def axiom nil 59 ref 4914 remove nil cons cons 60 ref 4913 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4912 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp 4915 def subst 4889 ref trans appThm 4889 ref appThm absThm appThm appThm 652 ref 49 ref 7 ref 4802 ref nil 23 ref 4890 remove cons nil cons nil cons cons 4916 def 4915 ref subst 4917 def 4897 ref trans appThm 4897 ref appThm 4909 remove trans absThm appThm appThm 652 ref 49 ref 23 ref 49 ref 7 ref 4802 ref 3487 ref nil 4283 ref nil cons 4918 def nil cons cons 4919 def 4889 ref subst 4920 def appThm 4921 def 4889 ref appThm appThm nil 7 ref 3205 ref cons 4922 def nil cons nil cons cons 4923 def 4889 ref subst appThm absThm appThm absThm appThm appThm 652 ref 49 ref 23 ref 49 ref 7 ref 4802 ref 4921 ref 4897 ref appThm nil 4899 ref 23 ref 39 ref 31 ref appTerm 4924 def nil cons cons nil cons 4925 def cons nil cons cons 4926 def 4870 ref subst 4927 def trans appThm 4923 ref 4897 ref subst 4928 def appThm nil 7 ref 3470 ref 40 ref appTerm 4929 def nil cons cons 23 ref 38 ref 4924 ref appTerm 4930 def 4825 ref appTerm 4931 def nil cons cons nil cons cons nil cons cons 4908 ref subst 4932 def trans absThm appThm absThm appThm appThm 652 ref 49 ref 23 ref 49 ref 7 ref 4802 ref 3487 ref 4919 ref 4897 ref subst 4933 def appThm 4934 def 4889 ref appThm 4926 ref 4861 ref subst trans appThm 4928 remove appThm 4932 ref trans absThm appThm absThm appThm appThm 49 ref 23 ref 49 ref 7 ref 4802 ref 4934 ref 4897 ref appThm nil 7 ref 4872 ref nil cons 4935 def cons 4925 ref cons nil cons cons 4936 def 4861 ref subst 4851 ref 4927 remove appThm trans trans appThm nil 7 ref 4812 ref nil cons cons 4937 def nil cons nil cons cons 4889 ref subst nil 4937 remove 4755 ref cons nil cons cons 4861 ref subst trans 4851 ref nil 4922 ref 4755 ref cons nil cons cons 4870 ref subst appThm trans appThm nil 7 ref 4811 ref 4929 ref appTerm nil cons cons 23 ref 4811 ref 4931 ref appTerm nil cons cons nil cons cons nil cons cons 4908 ref subst 4932 remove trans trans absThm appThm absThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm sym 652 ref 49 ref 23 ref 49 ref 7 ref nil 136 ref 3205 ref cons nil cons nil cons cons 4833 ref subst absThm appThm 203 ref trans absThm appThm 203 ref trans appThm 652 ref 4834 ref appThm 4938 def 652 ref 49 ref 7 ref nil 136 ref 4898 ref cons nil cons nil cons cons 4833 ref subst absThm appThm 203 ref trans appThm 4939 def 4939 ref 4939 ref 4939 remove 652 ref 49 ref 23 ref 49 ref 7 ref 4802 ref nil 879 ref 4898 remove cons 4940 def 4918 ref cons nil cons cons 4941 def 879 ref 70 ref 3394 ref appTerm 70 ref 55 ref 3471 ref appTerm 3468 ref appTerm 4942 def appTerm 3469 ref 3181 ref 3557 ref appTerm 4943 def appTerm 4944 def appTerm 4945 def appTerm absTerm 4946 def 883 ref appTerm 4947 def betaConv 7 ref 22 ref 4946 ref appTerm 4948 def absTerm 4949 def 34 ref appTerm 4950 def betaConv 23 ref 22 ref 4949 ref appTerm 4951 def absTerm 4952 def 31 ref appTerm 4953 def betaConv nil 59 ref 22 ref 4952 ref appTerm 4954 def nil cons cons 4955 def nil cons nil cons cons 1252 ref subst sym nil 59 ref 1237 ref 4954 remove appTerm nil cons 4956 def cons 4957 def 1330 ref cons nil cons cons 4958 def 81 ref subst 4958 remove 152 ref subst 3482 remove nil 3484 ref 1330 ref cons nil cons cons 4959 def 132 ref subst proveHyp 3403 remove nil 3405 ref 60 ref 64 ref 3481 ref appTerm 1241 ref appTerm 4960 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4957 remove 60 ref 64 ref 3402 ref appTerm 4961 def 4960 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst 651 ref 1443 ref 49 ref 23 ref 49 ref 7 ref 111 ref 49 ref 879 ref 652 ref 879 ref 3394 ref absTerm 4962 def 883 ref appTerm betaConv 4963 def appThm 879 ref 4945 ref absTerm 4964 def 883 ref appTerm betaConv 4965 def appThm absThm appThm appThm 652 ref 49 ref 879 ref 4963 remove absThm appThm appThm 49 ref 879 ref 4965 remove absThm appThm appThm appThm nil 4875 ref 4962 remove nil cons cons "q" 18 remove var 4966 def 4964 remove nil cons cons nil cons cons nil cons cons 190 ref 1517 ref subst 4967 def subst eqMp 652 ref nil 94 ref 3394 ref nil cons 4968 def cons nil cons nil cons cons 202 ref subst appThm 111 ref 49 ref 879 ref 652 ref 879 ref 4942 ref absTerm 4969 def 883 ref appTerm betaConv 4970 def appThm 879 ref 4944 ref absTerm 4971 def 883 ref appTerm betaConv 4972 def appThm absThm appThm appThm 652 ref 49 ref 879 ref 4970 ref absThm appThm appThm 49 ref 879 ref 4972 ref absThm appThm appThm appThm nil 4875 ref 4969 ref nil cons 4973 def cons 4966 ref 4971 ref nil cons 4974 def cons nil cons cons nil cons cons 4967 ref subst eqMp appThm trans absThm appThm 111 ref 49 ref 7 ref 652 ref 3397 ref appThm 7 ref 70 ref 22 ref 4969 remove appTerm 4975 def appTerm 22 ref 4971 remove appTerm 4976 def appTerm absTerm 4977 def 34 ref appTerm betaConv 4978 def appThm absThm appThm appThm 652 ref 49 ref 7 ref 3397 ref absThm appThm appThm 49 ref 7 ref 4978 remove absThm appThm appThm appThm nil 4875 ref 3408 remove cons 4966 ref 4977 remove nil cons cons nil cons cons nil cons cons 4967 ref subst eqMp 70 ref 3398 remove appTerm refl 111 ref 49 ref 7 ref 652 ref 7 ref 4975 remove absTerm 4979 def 34 ref appTerm betaConv 4980 def appThm 7 ref 4976 remove absTerm 4981 def 34 ref appTerm betaConv 4982 def appThm absThm appThm appThm 652 ref 49 ref 7 ref 4980 ref absThm appThm appThm 49 ref 7 ref 4982 ref absThm appThm appThm appThm nil 4875 ref 4979 ref nil cons 4983 def cons 4966 ref 4981 ref nil cons 4984 def cons nil cons cons nil cons cons 4967 ref subst eqMp appThm trans trans absThm appThm 111 ref 49 ref 23 ref 652 ref 3401 ref appThm 23 ref 70 ref 22 ref 4979 remove appTerm 4985 def appTerm 22 ref 4981 remove appTerm 4986 def appTerm absTerm 4987 def 31 ref appTerm betaConv 4988 def appThm absThm appThm appThm 652 ref 49 ref 23 ref 3401 ref absThm appThm appThm 49 ref 23 ref 4988 remove absThm appThm appThm appThm nil 4875 ref 3406 remove cons 4966 ref 4987 remove nil cons cons nil cons cons nil cons cons 4967 ref subst eqMp 70 ref 3402 remove appTerm 4989 def refl 111 ref 49 ref 23 ref 652 ref 23 ref 4985 remove absTerm 4990 def 31 ref appTerm betaConv 4991 def appThm 23 ref 4986 remove absTerm 4992 def 31 ref appTerm betaConv 4993 def appThm absThm appThm appThm 652 ref 49 ref 23 ref 4991 ref absThm appThm appThm 49 ref 23 ref 4993 ref absThm appThm appThm appThm nil 4875 ref 4990 ref nil cons 4994 def cons 4966 ref 4992 ref nil cons 4995 def cons nil cons cons nil cons cons 4967 ref subst eqMp appThm trans trans appThm appThm 4961 ref refl nil 94 ref 3483 ref cons nil cons nil cons cons 1246 ref subst 4996 def appThm appThm sym nil 59 ref 1237 ref 4989 remove 70 ref 22 ref 4990 remove appTerm 4997 def appTerm 22 ref 4992 remove appTerm 4998 def appTerm 4999 def appTerm appTerm 5000 def nil cons 5001 def cons 60 ref 4961 remove 1237 ref 3481 remove appTerm 5002 def appTerm nil cons 5003 def cons nil cons cons nil cons cons 5004 def 81 ref subst 5004 remove 152 ref subst nil 3405 ref 60 ref 5002 remove nil cons 5005 def cons nil cons cons nil cons cons 5006 def 81 ref subst 5006 remove 152 ref subst 4996 remove 4959 ref 81 ref subst 4959 remove 152 ref subst nil 3405 ref 60 ref 4999 remove nil cons cons nil cons cons nil cons cons 2034 ref subst 1371 ref nil 3407 ref nil cons nil cons cons 190 ref 2040 ref subst 5007 def subst 48 ref 23 ref 1443 ref 3401 remove appThm nil 3409 remove nil cons nil cons cons 5007 ref subst 48 ref 7 ref 1443 ref 3397 remove appThm absThm appThm trans trans absThm appThm trans appThm nil 59 ref 4997 remove nil cons cons 60 ref 4998 remove nil cons cons nil cons cons nil cons cons 2034 ref subst 1371 ref nil 135 ref 4994 remove cons nil cons nil cons cons 5007 ref subst 48 ref 23 ref 1443 ref 4991 remove appThm nil 135 ref 4983 remove cons nil cons nil cons cons 5007 ref subst 48 ref 7 ref 1443 ref 4980 remove appThm nil 135 ref 4973 remove cons nil cons nil cons cons 5007 ref subst 48 ref 879 ref 1443 ref 4970 remove appThm absThm appThm trans trans absThm appThm trans trans absThm appThm trans appThm nil 135 ref 4995 remove cons nil cons nil cons cons 5007 ref subst 48 ref 23 ref 1443 ref 4993 remove appThm nil 135 ref 4984 remove cons nil cons nil cons cons 5007 ref subst 48 ref 7 ref 1443 ref 4982 remove appThm nil 135 ref 4974 remove cons nil cons nil cons cons 5007 ref subst 48 ref 879 ref 1443 ref 4972 remove appThm absThm appThm trans trans absThm appThm trans trans absThm appThm trans appThm trans appThm trans 1337 ref 20 ref 23 ref 20 ref 7 ref 1237 ref 3394 remove appTerm 5008 def absTerm 5009 def appTerm absTerm 5010 def appTerm appTerm refl 111 ref 1371 ref 48 ref 23 ref 23 ref 20 ref 7 ref 20 ref 879 ref 1237 ref 4942 ref appTerm 5011 def absTerm 5012 def appTerm absTerm 5013 def appTerm absTerm 5014 def 31 ref appTerm betaConv 5015 def absThm appThm appThm 48 ref 23 ref 23 ref 20 ref 7 ref 20 ref 879 ref 1237 ref 4944 ref appTerm 5016 def absTerm 5017 def appTerm absTerm 5018 def appTerm absTerm 5019 def 31 ref appTerm betaConv 5020 def absThm appThm appThm appThm 48 ref 23 ref 1371 ref 5015 remove appThm 5020 remove appThm absThm appThm appThm nil 4875 ref 5014 remove nil cons cons 4966 ref 5019 remove nil cons cons nil cons cons nil cons cons 190 ref 2166 remove subst 5021 def subst eqMp 48 ref 23 ref 111 ref 1371 ref 48 ref 7 ref 5013 ref 34 ref appTerm betaConv 5022 def absThm appThm appThm 48 ref 7 ref 5018 ref 34 ref appTerm betaConv 5023 def absThm appThm appThm appThm 48 ref 7 ref 1371 ref 5022 remove appThm 5023 remove appThm absThm appThm appThm nil 4875 ref 5013 remove nil cons cons 4966 ref 5018 remove nil cons cons nil cons cons nil cons cons 5021 ref subst eqMp 48 ref 7 ref 111 ref 1371 ref 48 ref 879 ref 5012 ref 883 ref appTerm betaConv 5024 def absThm appThm appThm 48 ref 879 ref 5017 ref 883 ref appTerm betaConv 5025 def absThm appThm appThm appThm 48 ref 879 ref 1371 ref 5024 remove appThm 5025 remove appThm absThm appThm appThm nil 4875 ref 5012 remove nil cons cons 4966 ref 5017 remove nil cons cons nil cons cons nil cons cons 5021 ref subst eqMp absThm appThm trans absThm appThm trans appThm 111 ref 1371 ref 48 ref 23 ref 5010 ref 31 ref appTerm betaConv 5026 def absThm appThm appThm 48 ref 23 ref 23 ref 20 ref 7 ref 20 ref 879 ref 1337 ref 5011 ref appTerm 5016 ref appTerm 5027 def absTerm 5028 def appTerm absTerm 5029 def appTerm absTerm 5030 def 31 ref appTerm betaConv 5031 def absThm appThm appThm appThm 48 ref 23 ref 1371 ref 5026 remove appThm 5031 remove appThm absThm appThm appThm nil 4875 ref 5010 remove nil cons cons 4966 ref 5030 remove nil cons cons nil cons cons nil cons cons 5021 ref subst eqMp 48 ref 23 ref 111 ref 1371 ref 48 ref 7 ref 5009 ref 34 ref appTerm betaConv 5032 def absThm appThm appThm 48 ref 7 ref 5029 ref 34 ref appTerm betaConv 5033 def absThm appThm appThm appThm 48 ref 7 ref 1371 ref 5032 remove appThm 5033 remove appThm absThm appThm appThm nil 4875 ref 5009 remove nil cons cons 4966 ref 5029 remove nil cons cons nil cons cons nil cons cons 5021 remove subst eqMp 48 ref 7 ref 111 ref 1337 ref 5008 ref appTerm 5034 def refl 5035 def 48 ref 879 ref 5028 ref 883 ref appTerm betaConv 5036 def absThm appThm appThm appThm 48 ref 879 ref 5035 remove 5036 remove appThm absThm appThm appThm nil 4966 ref 5028 remove nil cons cons 59 ref 5008 ref nil cons 5037 def cons 5038 def nil cons cons nil cons cons 190 ref 2202 remove subst subst eqMp absThm appThm trans absThm appThm trans trans trans 5000 remove assume eqMp nil 59 ref 20 ref 23 ref 20 ref 7 ref 20 ref 879 ref 5034 remove 5027 ref appTerm 5039 def absTerm 5040 def appTerm 5041 def absTerm 5042 def appTerm 5043 def absTerm 5044 def appTerm 5045 def nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 23 ref 64 ref 5044 ref 31 ref appTerm 5046 def appTerm 1241 ref appTerm 5047 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 5047 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5046 ref nil cons 5048 def cons 1330 ref cons nil cons cons 5049 def 81 ref subst 5049 remove 152 ref subst 5046 ref betaConv 5046 remove assume eqMp nil 59 ref 5043 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 7 ref 64 ref 5042 ref 34 ref appTerm 5050 def appTerm 1241 ref appTerm 5051 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 5051 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5050 ref nil cons 5052 def cons 1330 ref cons nil cons cons 5053 def 81 ref subst 5053 remove 152 ref subst 5050 ref betaConv 5050 remove assume eqMp nil 59 ref 5041 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 879 ref 64 ref 5040 ref 883 ref appTerm 5054 def appTerm 1241 ref appTerm 5055 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 5055 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5054 ref nil cons 5056 def cons 1330 ref cons nil cons cons 5057 def 81 ref subst 5057 remove 152 ref subst 5054 ref betaConv 5054 remove assume eqMp nil 59 ref 5039 remove nil cons 5058 def cons 1330 ref cons nil cons cons 5059 def 132 ref subst proveHyp 5059 ref 81 ref subst 5059 remove 152 ref subst nil 59 ref 5027 remove nil cons 5060 def cons 1330 ref cons nil cons cons 5061 def 81 ref subst 5061 remove 152 ref subst nil 59 ref 5016 ref nil cons 5062 def cons 1330 ref cons nil cons cons 5063 def 81 ref subst 5063 remove 152 ref subst nil "_2194" 3 ref var 5064 def 137 ref cons 5065 def "_2193" 3 ref var 5066 def 3182 ref nil cons cons nil cons cons nil cons cons 7 ref 55 ref 38 ref 5066 ref varTerm 5067 def appTerm 34 ref appTerm appTerm 3181 ref 5067 ref appTerm appTerm absTerm 5068 def 5064 remove varTerm 5069 def appTerm 5070 def betaConv 3399 ref 5067 ref appTerm 5071 def betaConv nil 3405 ref 60 ref 5071 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 3407 ref 136 ref 5067 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 5068 ref appTerm nil cons cons 60 ref 5070 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5068 remove nil cons cons 136 ref 5069 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 5072 def subst nil 59 ref 55 ref 38 ref 3182 ref appTerm 31 ref appTerm 5073 def appTerm 5074 def 3468 ref appTerm 5075 def nil cons cons 60 ref 5074 remove 4943 ref appTerm 5076 def nil cons cons nil cons 5077 def cons nil cons cons 152 ref subst proveHyp nil "_2197" 3 ref var 5078 def 137 ref cons "_2196" 3 ref var 5079 def 902 ref cons "_2195" 3 ref var 5080 def 166 ref cons nil cons cons cons nil cons cons 879 ref 55 ref 38 ref 5080 remove varTerm 5081 def appTerm 5082 def 38 ref 5079 remove varTerm 5083 def appTerm 883 ref appTerm appTerm appTerm 38 ref 5082 ref 5083 ref appTerm appTerm 883 ref appTerm appTerm absTerm 5084 def 5078 remove varTerm 5085 def appTerm 5086 def betaConv 7 ref 22 ref 879 ref 55 ref 5082 ref 3182 ref appTerm appTerm 38 ref 5082 remove 34 ref appTerm appTerm 883 ref appTerm appTerm absTerm appTerm absTerm 5087 def 5083 ref appTerm 5088 def betaConv 3479 ref 5081 ref appTerm 5089 def betaConv nil 3484 ref 60 ref 5089 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 3485 ref 136 ref 5081 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 5087 ref appTerm nil cons cons 60 ref 5088 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5087 remove nil cons cons 136 ref 5083 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 5084 ref appTerm nil cons cons 60 ref 5086 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5084 remove nil cons cons 136 ref 5085 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 55 ref 3181 ref 888 remove 31 ref appTerm 5090 def appTerm 5091 def appTerm 5092 def 5073 ref appTerm 5093 def nil cons cons 60 ref 5092 remove 4943 ref appTerm 5094 def nil cons cons nil cons 5095 def cons nil cons cons 152 ref subst proveHyp 3282 ref nil 59 ref 55 ref 34 ref appTerm 5096 def 34 ref appTerm 5097 def nil cons cons 60 ref 55 ref 5090 ref appTerm 3557 ref appTerm 5098 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 5065 remove 5066 remove 902 ref cons nil cons cons nil cons cons 5072 remove subst eqMp nil 59 ref 70 ref 5097 remove appTerm 5098 remove appTerm nil cons cons 5095 remove cons nil cons cons 132 ref subst proveHyp nil "_2209" 3 ref var 5099 def 3557 ref nil cons cons "_2207" 3 ref var 5100 def 5090 ref nil cons cons "_2208" 3 ref var 5101 def 166 ref cons "_2206" 3 ref var 5102 def 166 ref cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 55 ref 5102 remove varTerm 5103 def appTerm 5101 remove varTerm 5104 def appTerm 5105 def appTerm 5106 def appTerm 5107 def 1237 ref 55 ref 5100 remove varTerm 5108 def appTerm 5099 remove varTerm 5109 def appTerm 5110 def appTerm 5111 def appTerm nil cons cons 1648 ref 55 ref 38 ref 5103 remove appTerm 5108 remove appTerm appTerm 38 ref 5104 remove appTerm 5109 remove appTerm appTerm 5112 def nil cons 5113 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 5111 ref nil cons 5114 def cons 1648 ref 5106 remove nil cons 5115 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 5105 ref nil cons 5116 def cons nil cons 5117 def nil cons cons 1707 ref subst appThm nil 1648 ref 5110 ref nil cons 5118 def cons nil cons 5119 def nil cons cons 1707 ref subst appThm trans appThm 5112 ref refl appThm trans 5107 remove refl nil 60 ref 5113 ref cons 5120 def 59 ref 5114 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 5114 remove cons 5120 ref 59 ref 5115 remove cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1642 ref 1337 ref 5111 remove appTerm 5112 remove appTerm nil cons 5121 def cons 5117 remove cons nil cons cons 2460 ref subst nil 59 ref 5116 ref cons 60 ref 5121 ref cons nil cons cons nil cons cons 5122 def 81 ref subst 5122 remove 152 ref subst nil 1642 ref 5113 ref cons 5119 remove cons nil cons cons 2460 remove subst nil 59 ref 5118 ref cons 5120 remove nil cons cons nil cons cons 5123 def 81 ref subst 5123 remove 152 ref subst 3487 ref 5105 remove assume appThm 5110 remove assume appThm eqMp nil 107 ref 5118 remove cons 109 ref 5113 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5116 remove cons 109 ref 5121 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp subst eqMp eqMp nil 59 ref 70 ref 5093 remove appTerm 5094 remove appTerm nil cons cons 5077 remove cons nil cons cons 132 ref subst proveHyp nil "z" 3 ref var 5124 def 4943 remove nil cons cons 5125 def "y" 3 ref var 5126 def 5073 remove nil cons 5127 def cons 136 ref 5091 remove nil cons cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 55 ref 1065 ref appTerm 5128 def 5126 ref varTerm 5129 def appTerm 5130 def appTerm 5131 def appTerm 5132 def 1237 ref 5128 remove 5124 ref varTerm 5133 def appTerm 5134 def appTerm 5135 def appTerm nil cons cons 1648 ref 55 ref 5129 remove appTerm 5133 remove appTerm 5136 def nil cons 5137 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 5135 remove nil cons 5138 def cons 1648 ref 5131 remove nil cons 5139 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 5130 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 5134 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 5136 remove refl appThm trans 5132 remove refl nil 60 ref 5137 remove cons 5140 def 59 ref 5138 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 5138 remove cons 5140 remove 59 ref 5139 remove cons nil cons cons cons nil cons cons 1816 ref subst trans 190 ref 1896 remove subst eqMp eqMp 5141 def subst eqMp eqMp nil 59 ref 70 ref 5075 remove appTerm 5076 remove appTerm nil cons cons 60 ref 4944 remove nil cons 5142 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 5125 remove 5126 ref 3468 ref nil cons 5143 def cons 136 ref 5127 remove cons nil cons cons cons nil cons cons 5141 ref subst eqMp nil 59 ref 5142 ref cons 5144 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 5144 remove nil cons nil cons cons 1613 ref subst 5016 remove assume eqMp eqMp eqMp nil 107 ref 5062 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 5011 ref nil cons 5145 def cons 1330 ref cons nil cons cons 5146 def 81 ref subst 5146 remove 152 ref subst nil "_2192" 3 ref var 5147 def 902 ref cons "_2191" 3 ref var 5148 def 166 ref cons "_2190" 3 ref var 5149 def 137 ref cons nil cons cons cons nil cons cons 879 ref 55 ref 38 ref 5149 remove varTerm 5150 def appTerm 5151 def 38 ref 5148 remove varTerm 5152 def appTerm 883 ref appTerm appTerm appTerm 38 ref 5151 ref 5152 ref appTerm appTerm 883 ref appTerm appTerm absTerm 5153 def 5147 remove varTerm 5154 def appTerm 5155 def betaConv 7 ref 22 ref 879 ref 55 ref 5151 ref 3182 ref appTerm appTerm 38 ref 5151 remove 34 ref appTerm appTerm 883 ref appTerm appTerm absTerm appTerm absTerm 5156 def 5152 ref appTerm 5157 def betaConv 3479 remove 5150 ref appTerm 5158 def betaConv nil 3484 remove 60 ref 5158 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 3485 remove 136 ref 5150 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 5156 ref appTerm nil cons cons 60 ref 5157 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5156 remove nil cons cons 136 ref 5152 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 5153 ref appTerm nil cons cons 60 ref 5155 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5153 remove nil cons cons 136 ref 5154 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 3472 ref nil cons cons 60 ref 3469 remove 3468 remove appTerm 5159 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 136 ref 5143 ref cons nil cons 5160 def nil cons cons 190 ref 162 ref subst 5161 def subst eqMp nil 59 ref 70 ref 3472 remove appTerm 5159 remove appTerm nil cons cons 60 ref 4942 remove nil cons 5162 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 5124 ref 5143 remove cons 5126 ref 3471 remove nil cons cons 5160 remove cons cons nil cons cons 5141 ref subst eqMp nil 59 ref 5162 ref cons 5163 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 5163 remove nil cons nil cons cons 1613 ref subst 5011 remove assume eqMp eqMp eqMp nil 107 ref 5145 remove cons 5164 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 5164 remove 109 ref 5062 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 107 ref 5060 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 5038 remove 1330 ref cons nil cons cons 5165 def 81 ref subst 5165 remove 152 ref subst nil "_2184" 3 ref var 5166 def 166 ref cons "_2183" 3 ref var 5167 def 137 ref cons nil cons cons nil cons cons 7 ref 55 ref 38 ref 5167 remove varTerm 5168 def appTerm 34 ref appTerm appTerm 3181 ref 5168 ref appTerm appTerm absTerm 5169 def 5166 remove varTerm 5170 def appTerm 5171 def betaConv 3399 remove 5168 ref appTerm 5172 def betaConv nil 3405 remove 60 ref 5172 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 3407 remove 136 ref 5168 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 5169 ref appTerm nil cons cons 60 ref 5171 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5169 remove nil cons cons 136 ref 5170 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 4968 ref cons 5173 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 5173 remove nil cons nil cons cons 1613 ref subst 5008 remove assume eqMp eqMp eqMp nil 107 ref 5037 remove cons 5174 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 5174 remove 109 ref 5060 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 107 ref 5058 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5056 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5040 ref 1065 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5041 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5040 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 5052 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5042 ref 1065 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5043 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5042 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 5048 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5044 ref 1065 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5045 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5044 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 3483 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 3404 remove cons 109 ref 5005 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 5001 remove cons 109 ref 5003 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 107 ref 4956 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 4955 remove 60 ref 4953 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4952 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4951 remove nil cons cons 60 ref 4950 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4949 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4948 remove nil cons cons 60 ref 4947 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4946 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 107 ref 4968 remove cons 109 ref 4945 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp 5175 def nil 107 ref 5162 remove cons 109 ref 5142 remove cons nil cons cons nil cons cons 5176 def 123 ref subst proveHyp 5177 def subst appThm nil 3206 ref nil cons nil cons cons 5177 ref subst 39 ref refl 5178 def nil 4268 ref 4284 ref cons nil cons cons 5175 remove 5176 remove 687 ref subst proveHyp 5179 def subst appThm trans appThm nil 136 ref 39 ref 39 ref 4825 ref appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans absThm appThm 203 ref trans absThm appThm 203 ref trans 5180 def appThm 5181 def 5181 remove nil 94 ref 22 ref 23 ref 22 ref 7 ref 55 ref 4931 remove appTerm 4929 remove appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 94 ref 63 ref 1381 remove 97 ref appTerm appTerm 97 ref appTerm absTerm 5182 def 97 ref appTerm 5183 def betaConv nil 194 ref 5182 ref appTerm 5184 def axiom nil 59 ref 5184 remove nil cons cons 60 ref 5183 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 5182 remove nil cons cons 200 ref cons nil cons cons 163 ref subst eqMp eqMp 5185 def subst 5180 remove trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans sym 100 ref eqMp eqMp nil 107 ref 22 ref 23 ref 22 ref 7 ref 4818 remove absTerm appTerm absTerm appTerm nil cons cons 109 ref 70 ref 55 ref 4835 remove appTerm 8 ref appTerm 5186 def appTerm 70 ref 22 ref 7 ref 55 ref 4306 ref 4821 ref appTerm appTerm 4821 ref appTerm absTerm appTerm 5187 def appTerm 70 ref 22 ref 7 ref 55 ref 4306 remove 4809 ref appTerm appTerm 4809 ref appTerm absTerm appTerm 5188 def appTerm 70 ref 22 ref 7 ref 55 ref 38 ref 4821 ref appTerm 5189 def 8 ref appTerm appTerm 4821 ref appTerm absTerm appTerm 5190 def appTerm 70 ref 22 ref 7 ref 55 ref 38 ref 4809 ref appTerm 8 ref appTerm appTerm 4809 ref appTerm absTerm appTerm 5191 def appTerm 70 ref 22 ref 23 ref 22 ref 7 ref 55 ref 38 ref 4810 ref 31 ref appTerm 5192 def appTerm 5193 def 4821 ref appTerm appTerm 4810 ref 40 ref appTerm appTerm absTerm 5194 def appTerm 5195 def absTerm 5196 def appTerm 5197 def appTerm 70 ref 22 ref 23 ref 22 ref 7 ref 55 ref 5193 ref 4809 ref appTerm appTerm 4703 ref 40 ref appTerm 5198 def appTerm absTerm appTerm absTerm appTerm 5199 def appTerm 70 ref 22 ref 23 ref 22 ref 7 ref 55 ref 4808 ref 4821 ref appTerm appTerm 5198 remove appTerm absTerm 5200 def appTerm 5201 def absTerm 5202 def appTerm 5203 def appTerm 22 ref 4816 ref 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 nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 5186 remove nil cons cons 109 ref 5211 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 5187 remove nil cons cons 109 ref 5210 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 5188 remove nil cons cons 109 ref 5209 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 5190 remove nil cons cons 109 ref 5208 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 5191 remove nil cons cons 109 ref 5207 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp 5212 def nil 107 ref 5197 remove nil cons 5213 def cons 109 ref 5206 remove nil cons cons nil cons cons nil cons cons 5214 def 687 ref subst proveHyp nil 107 ref 5199 remove nil cons cons 109 ref 5205 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp 5215 def nil 107 ref 5203 remove nil cons 5216 def cons 109 ref 5204 remove nil cons 5217 def cons nil cons cons nil cons cons 5218 def 687 ref subst proveHyp nil 59 ref 5217 remove cons 60 ref 4817 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4816 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4815 remove nil cons cons 60 ref 4814 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4813 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst 4810 ref refl 5219 def 4851 ref 4819 ref appThm 5220 def 652 ref 49 ref 7 ref nil 136 ref 4852 ref cons nil cons 5221 def nil cons cons 4833 ref subst absThm appThm 203 ref trans appThm 652 ref 55 ref 4811 ref 8 ref appTerm 5222 def appTerm 5223 def refl 171 ref 4897 ref subst 5220 remove trans 5224 def appThm nil 136 ref 5222 remove nil cons 5225 def cons nil cons nil cons cons 4833 ref subst trans appThm 652 ref 49 ref 7 ref 4802 ref 4896 remove appThm 4897 ref appThm nil 136 ref 4935 remove cons nil cons nil cons cons 4833 ref subst trans absThm appThm 203 ref trans appThm 49 ref 7 ref 4802 ref 4851 ref 4897 ref appThm appThm nil 4853 remove nil cons nil cons cons 4889 ref subst 4862 remove trans 4871 remove trans appThm 4873 remove trans absThm appThm 203 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans sym 100 ref eqMp nil 107 ref 22 ref 7 ref 55 ref 4837 ref appTerm 5226 def 4837 ref appTerm absTerm appTerm nil cons cons 109 ref 70 ref 5223 remove 4704 ref appTerm 5227 def appTerm 70 ref 22 ref 7 ref 55 ref 4847 remove appTerm 4809 ref appTerm absTerm appTerm appTerm 22 ref 7 ref 55 ref 4811 ref 4809 ref appTerm appTerm 4838 remove appTerm absTerm appTerm appTerm 5228 def appTerm nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 5227 remove nil cons cons 109 ref 5228 remove nil cons cons nil cons cons nil cons cons 123 ref subst proveHyp 5229 def trans appThm trans appThm nil 7 ref 4704 ref nil cons 5230 def cons 5231 def 4197 ref cons nil cons cons 5200 ref 34 ref appTerm 5232 def betaConv 5202 ref 31 ref appTerm 5233 def betaConv 5215 remove 5218 remove 123 ref subst proveHyp nil 59 ref 5216 remove cons 60 ref 5233 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5202 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5201 remove nil cons cons 60 ref 5232 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5200 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst 4703 remove refl 171 ref 4892 remove subst appThm trans trans sym appThm 739 ref appThm appThm appThm 38 ref 37 ref 39 ref 40 ref appTerm appTerm 5234 def appTerm 37 ref 3181 ref 40 ref appTerm appTerm 5235 def appTerm 5236 def refl appThm sym 4802 ref nil 879 ref 30 ref 4804 ref 4804 ref 4704 ref appTerm 5237 def appTerm appTerm 36 ref appTerm nil cons cons nil cons nil cons cons 3225 ref subst 3487 ref 52 ref nil 879 ref 740 ref cons 5238 def 7 ref 5237 remove nil cons cons 23 ref 5230 ref cons nil cons 5239 def cons cons nil cons cons 3225 ref subst 3487 ref 743 ref 168 ref 23 ref 55 ref 30 ref 4704 ref appTerm 5240 def 31 ref appTerm appTerm 31 ref appTerm absTerm 5241 def 31 ref appTerm 5242 def betaConv nil 22 ref 5241 ref appTerm 5243 def axiom nil 59 ref 5243 remove nil cons cons 60 ref 5242 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5241 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp subst 5244 def subst 5245 def appThm 5246 def nil 5238 ref 5231 ref 5239 ref cons cons nil cons cons 3225 ref subst 5246 remove 5245 remove appThm trans appThm trans 5247 def appThm nil 879 ref 38 ref 36 ref appTerm 5248 def 36 ref appTerm nil cons cons 5249 def 742 ref cons nil cons cons 3199 ref subst 38 ref 32 ref 36 ref appTerm 5250 def appTerm refl nil 5238 ref 742 remove cons nil cons cons 3199 ref subst appThm trans trans appThm 165 ref 5247 remove appThm nil 5249 remove 741 ref 167 ref cons 5251 def cons nil cons cons 3199 ref subst 38 ref 35 ref 36 ref appTerm 5252 def appTerm refl nil 5238 ref 5251 ref cons nil cons cons 3199 ref subst appThm trans trans appThm trans appThm 3487 ref nil 3206 ref 4283 ref 23 ref 740 ref cons 5253 def nil cons 5254 def cons 5255 def cons nil cons cons 3199 ref subst 38 ref 37 ref 31 ref appTerm 5256 def appTerm 5257 def refl 5258 def nil 4268 ref 5255 remove cons nil cons cons 5259 def 3199 ref subst 5260 def appThm trans appThm nil 3206 ref 5254 ref cons nil cons cons 3199 ref subst 38 ref 37 ref 34 ref appTerm 5261 def appTerm 5262 def refl 5263 def 5260 remove appThm trans appThm appThm sym 4802 ref 3487 ref 3487 ref 743 ref 4293 ref subst 5264 def appThm 5265 def 5265 remove 5264 ref appThm appThm appThm 3487 ref nil 5251 ref nil cons cons 4293 ref subst 5266 def appThm 5267 def 5267 ref 5266 ref appThm appThm appThm appThm 38 ref 5257 ref 5257 ref 5261 ref appTerm 5268 def appTerm 5269 def appTerm 5262 ref 5268 ref appTerm 5270 def appTerm 5271 def refl appThm sym 63 ref 55 ref 38 ref 5257 ref 5257 ref 5256 ref appTerm 5272 def appTerm 5273 def appTerm 5262 ref 5262 ref 5261 ref appTerm 5274 def appTerm 5275 def appTerm appTerm 5271 remove appTerm appTerm refl nil 879 ref 5262 ref 5262 ref 5273 ref appTerm 5276 def appTerm nil cons 5277 def cons 7 ref 5277 remove cons 23 ref 5261 ref nil cons 5278 def cons nil cons 5279 def cons cons nil cons cons 879 ref 63 ref 3392 remove 3557 ref appTerm appTerm 5096 ref 883 ref appTerm appTerm absTerm 5280 def 883 ref appTerm 5281 def betaConv 7 ref 22 ref 5280 ref appTerm 5282 def absTerm 5283 def 34 ref appTerm 5284 def betaConv 23 ref 22 ref 5283 ref appTerm 5285 def absTerm 5286 def 31 ref appTerm 5287 def betaConv nil 22 ref 5286 ref appTerm 5288 def axiom nil 59 ref 5288 remove nil cons cons 60 ref 5287 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5286 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5285 remove nil cons cons 60 ref 5284 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5283 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5282 remove nil cons cons 60 ref 5281 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5280 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 5289 def subst nil 879 ref 5276 remove nil cons 5290 def cons 7 ref 5290 remove cons 5279 ref cons cons nil cons cons 5289 ref subst nil 879 ref 5273 remove nil cons 5291 def cons 7 ref 5291 remove cons 5279 ref cons cons nil cons cons 5289 ref subst nil 879 ref 5272 remove nil cons 5292 def cons 5293 def 7 ref 5292 remove cons 23 ref 5256 ref nil cons 5294 def cons nil cons 5295 def cons 5296 def cons nil cons cons 5289 ref subst nil 879 ref 5294 ref cons 5297 def 7 ref 5294 remove cons 5298 def 5295 ref cons 5299 def cons nil cons cons 5289 ref subst trans trans trans trans appThm 4802 ref 4802 ref nil 879 ref 5275 ref nil cons cons 5300 def 5296 remove cons nil cons cons 5177 ref subst 5258 ref nil 5300 remove 5299 remove cons nil cons cons 5177 ref subst appThm trans appThm 5263 ref 5263 ref nil 5293 remove 5298 ref 5279 ref cons 5301 def cons nil cons cons 5179 ref subst 5258 ref nil 5297 remove 5301 ref cons nil cons cons 5179 ref subst 5258 ref nil 5301 ref nil cons cons 3410 ref subst appThm trans appThm trans appThm nil 879 ref 5269 remove nil cons cons 5301 ref cons nil cons cons 5179 ref subst 5258 ref nil 879 ref 5268 remove nil cons 5302 def cons 5301 ref cons nil cons cons 5179 ref subst 5258 ref nil 879 ref 5278 ref cons 5301 ref cons nil cons cons 5179 ref subst 5303 def appThm trans appThm trans trans appThm nil 879 ref 5257 ref 5257 ref 5274 ref appTerm 5304 def appTerm nil cons cons 5301 ref cons nil cons cons 5179 ref subst 5258 ref nil 879 ref 5304 remove nil cons cons 5301 ref cons nil cons cons 5179 ref subst 5258 ref nil 879 ref 5274 remove nil cons cons 5301 remove cons nil cons cons 5179 ref subst 5305 def appThm trans appThm trans trans 5306 def appThm nil 136 ref 5257 ref 5257 ref 5257 ref 5275 remove appTerm appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst 5307 def trans sym 100 ref eqMp appThm 4802 ref nil 879 ref 5270 remove nil cons cons 5308 def 7 ref 5302 remove cons 5295 ref cons cons nil cons cons 5177 ref subst 5258 ref nil 5308 remove 7 ref 5278 ref cons 5309 def 5295 ref cons cons nil cons cons 5177 ref subst 5258 ref 5263 ref 5303 remove appThm 5305 remove trans appThm trans appThm trans appThm 5306 remove appThm 5307 remove trans sym 100 ref eqMp appThm eqMp sym 5256 remove refl eqMp eqMp eqMp eqMp 63 ref "_16409" 3 ref var 5310 def 26 ref 38 ref 29 ref 32 ref 4679 ref appTerm 5311 def appTerm 4799 ref appTerm 5312 def appTerm 29 ref 35 ref 4679 ref appTerm 5313 def appTerm 4800 ref appTerm 5314 def appTerm appTerm 5315 def 5310 remove varTerm appTerm absTerm 5316 def 4797 ref appTerm 5317 def appTerm refl 5316 ref 5236 ref appTerm betaConv appThm 111 ref 5317 remove betaConv appThm 5315 ref 5236 ref appTerm 5318 def refl appThm trans 5316 remove refl 55 ref 4797 ref appTerm 5236 remove appTerm assume appThm eqMp sym 652 ref 4923 ref nil 94 ref 3088 remove nil cons 5319 def cons nil cons nil cons cons 101 ref subst 3089 ref 34 ref appTerm 5320 def betaConv 3091 ref 31 ref appTerm 5321 def betaConv nil 4701 ref 60 ref 5321 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 3091 ref nil cons cons 5322 def 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 3090 remove nil cons cons 60 ref 5320 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 3089 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 5323 def eqMp 5324 def subst appThm nil 4922 ref 167 ref cons nil cons cons 5324 ref subst appThm 875 ref trans sym 100 ref eqMp nil 59 ref 70 ref 26 ref 5312 ref appTerm 5234 ref appTerm appTerm 26 ref 5314 ref appTerm 5235 ref appTerm appTerm nil cons cons 60 ref 5318 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 5235 remove nil cons cons 879 ref 5234 remove nil cons cons 7 ref 5314 remove nil cons cons 23 ref 5312 remove nil cons cons nil cons cons cons cons nil cons cons 905 ref subst eqMp eqMp proveHyp nil 59 ref 5315 remove 4797 ref appTerm nil cons cons 60 ref 26 ref 29 ref 38 ref 5311 ref appTerm 5313 ref appTerm appTerm 4801 remove appTerm appTerm 4797 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 906 ref 4797 remove nil cons cons 876 ref 4800 remove nil cons cons 879 ref 4799 remove nil cons cons 7 ref 5313 remove nil cons cons 23 ref 5311 remove nil cons cons nil cons cons cons cons cons nil cons cons 3269 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp 134 ref 135 ref 4718 ref nil cons cons 136 ref 4722 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 4718 remove appTerm nil cons cons 4715 ref cons nil cons cons 132 ref subst proveHyp nil 879 ref 4707 ref nil cons 5325 def cons 23 ref 4754 remove cons nil cons cons nil cons cons 879 ref 64 ref 20 ref 7 ref 1003 ref absTerm 5326 def appTerm 5327 def appTerm 5328 def 884 ref appTerm 5329 def absTerm 5330 def 883 ref appTerm 5331 def betaConv 23 ref 22 ref 5330 ref appTerm 5332 def absTerm 5333 def 31 ref appTerm 5334 def betaConv 1010 remove nil 59 ref 1009 ref nil cons 5335 def cons 5336 def 60 ref 22 ref 5333 ref appTerm nil cons 5337 def cons nil cons cons nil cons cons 5338 def 132 ref subst proveHyp 5338 ref 81 ref subst 5338 remove 152 ref subst nil 135 ref 5333 remove nil cons cons 5339 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 5332 remove nil cons 5340 def cons nil cons nil cons cons 101 ref subst nil 135 ref 5330 remove nil cons cons 5341 def nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 5329 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5327 remove nil cons 5342 def cons 5343 def 60 ref 970 ref cons nil cons 5344 def cons nil cons cons 5345 def 81 ref subst 5345 remove 152 ref subst nil 5336 ref 5344 ref cons nil cons cons 5346 def 132 ref subst nil 5343 remove 60 ref 64 ref 1009 remove appTerm 884 remove appTerm 5347 def nil cons 5348 def cons nil cons 5349 def cons nil cons cons 132 ref subst nil 135 ref 7 ref 64 ref 5326 ref 34 ref appTerm 5350 def appTerm 5347 ref appTerm 5351 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 5351 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5350 ref nil cons 5352 def cons 5349 ref cons nil cons cons 5353 def 81 ref subst 5353 remove 152 ref subst 5350 ref betaConv 5350 remove assume eqMp nil 59 ref 1003 remove nil cons 5354 def cons 5355 def 5349 remove cons nil cons cons 5356 def 132 ref subst proveHyp 5356 ref 81 ref subst 5356 remove 152 ref subst 5346 ref 81 ref subst 5346 remove 152 ref subst nil 5355 remove 5344 remove cons nil cons cons 132 ref subst 1004 ref 883 ref appTerm 5357 def betaConv 1006 ref 34 ref appTerm 5358 def betaConv 1008 ref 31 ref appTerm 5359 def betaConv nil 5336 remove 60 ref 5359 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 1008 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1007 remove nil cons cons 60 ref 5358 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 1006 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1005 remove nil cons cons 60 ref 5357 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 1004 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 5335 remove cons 5360 def 109 ref 970 remove cons nil cons 5361 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 5354 remove cons 109 ref 5348 remove cons nil cons 5362 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5352 remove cons 5362 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5326 ref 1065 ref appTerm appTerm 5347 ref appTerm absTerm appTerm nil cons cons 60 ref 5328 remove 5347 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5326 remove nil cons cons 5362 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 5342 remove cons 5361 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 5360 remove 109 ref 5337 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 5337 remove cons 60 ref 5334 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 5339 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5340 remove cons 60 ref 5331 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 5341 remove 903 ref cons nil cons cons 163 ref subst eqMp eqMp 5363 def subst eqMp eqMp nil 107 ref 4713 ref cons 109 ref 4711 ref cons nil cons 5364 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 4734 ref cons 4715 remove cons nil cons cons 5365 def 81 ref subst 5365 remove 152 ref subst 50 ref nil 7 ref 4780 remove cons 23 ref 4781 ref cons nil cons cons nil cons cons 805 ref subst appThm 4707 remove refl 5366 def appThm sym 50 ref 51 ref 3487 ref 732 ref refl 5367 def 7 ref 63 ref 4712 ref appTerm 70 ref 4757 ref appTerm 5096 ref 8 ref appTerm 5368 def appTerm appTerm absTerm 5369 def 34 ref appTerm 5370 def betaConv 23 ref 22 ref 5369 ref appTerm 5371 def absTerm 5372 def 31 ref appTerm 5373 def betaConv nil 22 ref 5372 ref appTerm 5374 def axiom nil 59 ref 5374 remove nil cons cons 60 ref 5373 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5372 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5371 remove nil cons cons 60 ref 5370 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5369 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 4712 ref assume 5375 def eqMp 5376 def nil 107 ref 4757 ref nil cons 5377 def cons 5378 def 109 ref 5368 ref nil cons 5379 def cons nil cons cons nil cons cons 5380 def 123 ref subst proveHyp appThm appThm 5367 ref 5376 remove 5380 remove 687 ref subst proveHyp appThm appThm appThm 5367 ref 5375 remove appThm appThm nil 4721 ref 23 ref 4720 ref cons nil cons 5381 def cons nil cons cons 7 ref 55 ref 3250 remove 31 ref appTerm appTerm 34 ref appTerm absTerm 5382 def 34 ref appTerm 5383 def betaConv 23 ref 22 ref 5382 ref appTerm 5384 def absTerm 5385 def 31 ref appTerm 5386 def betaConv nil 22 ref 5385 ref appTerm 5387 def axiom nil 59 ref 5387 remove nil cons cons 60 ref 5386 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5385 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5384 remove nil cons cons 60 ref 5383 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5382 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 5388 def subst trans appThm 5366 remove appThm nil 4723 remove 4721 ref nil cons 5389 def cons nil cons cons nil 94 ref 885 ref 40 ref appTerm 5390 def nil cons cons nil cons nil cons cons 101 ref subst 7 ref 5390 remove absTerm 5391 def 34 ref appTerm 5392 def betaConv 23 ref 22 ref 5391 ref appTerm 5393 def absTerm 5394 def 31 ref appTerm 5395 def betaConv nil 22 ref 5394 ref appTerm 5396 def axiom nil 59 ref 5396 remove nil cons cons 60 ref 5395 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5394 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5393 remove nil cons cons 60 ref 5392 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5391 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 5397 def subst trans sym 100 ref eqMp eqMp eqMp nil 107 ref 4734 ref cons 5398 def 5364 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1890 ref 4712 remove appTerm 5399 def betaConv 1893 ref nil 1894 ref 60 ref 5399 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1895 ref 198 ref 4734 ref cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 5398 remove 109 ref 4713 remove cons 1422 ref 4711 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 4689 ref nil cons cons 5400 def 136 ref 5325 remove cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 4700 remove cons 5401 def 109 ref 4691 ref cons nil cons 5402 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 4696 remove cons 5403 def 5402 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3278 ref 4690 ref appTerm absTerm appTerm nil cons cons 60 ref 3279 ref 4690 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3280 ref 5402 remove cons nil cons cons 1090 ref subst eqMp eqMp 5404 def nil 59 ref 4691 remove cons 5405 def 60 ref 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 732 ref 4837 ref appTerm 5406 def appTerm 5407 def 733 ref appTerm appTerm 5408 def 36 ref appTerm 5409 def absTerm 5410 def appTerm 5411 def absTerm 5412 def appTerm 5413 def nil cons 5414 def cons nil cons 5415 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 64 ref 4689 ref 36 ref appTerm 5416 def appTerm 5417 def 5413 ref appTerm 5418 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 5418 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5416 ref nil cons 5419 def cons 5420 def 5415 ref cons nil cons cons 5421 def 81 ref subst 5421 remove 152 ref subst 5416 ref betaConv 5416 remove assume eqMp 5422 def nil 59 ref 4688 remove nil cons 5423 def cons 5424 def 5415 remove cons nil cons cons 5425 def 132 ref subst proveHyp 5425 ref 81 ref subst 5425 remove 152 ref subst 5412 ref 5248 ref 732 ref 4704 ref appTerm 5426 def appTerm 5427 def appTerm betaConv sym nil 135 ref 7 ref 5408 remove 5427 ref appTerm 5428 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 5428 remove nil cons 5429 def cons nil cons nil cons cons 101 ref subst 864 ref 26 ref 38 ref 5407 remove 865 ref appTerm appTerm 866 ref 733 ref appTerm appTerm appTerm 5427 ref appTerm absTerm 5430 def 3071 ref 5426 ref appTerm 5431 def appTerm betaConv sym 50 ref 3487 ref 51 ref 5367 ref 168 ref 23 ref 4900 remove 39 ref 4704 ref appTerm 5432 def appTerm 5433 def absTerm 5434 def 31 ref appTerm 5435 def betaConv nil 22 ref 5434 ref appTerm 5436 def axiom 5437 def nil 59 ref 5436 remove nil cons cons 60 ref 5435 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5434 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp 5438 def subst 5439 def appThm appThm 5431 ref refl appThm appThm 29 ref 5431 ref appTerm 733 ref appTerm 5440 def refl appThm appThm 5427 ref refl appThm sym 652 ref nil 5231 ref 167 ref cons nil cons cons nil 94 ref 4684 remove nil cons cons nil cons nil cons cons 101 ref subst 4685 ref 34 ref appTerm 5441 def betaConv 4687 ref 31 ref appTerm 5442 def betaConv nil 5424 ref 60 ref 5442 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 4687 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4686 remove nil cons cons 60 ref 5441 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4685 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 5443 def subst appThm 50 ref nil 7 ref 5426 ref nil cons 5444 def cons 5445 def 912 ref cons nil cons cons 5388 ref subst appThm 5426 ref refl appThm nil 5445 ref nil cons nil cons cons nil 94 ref 885 ref 34 ref appTerm 5446 def nil cons cons nil cons nil cons cons 101 ref subst 7 ref 5446 remove absTerm 5447 def 34 ref appTerm 5448 def betaConv nil 22 ref 5447 ref appTerm 5449 def axiom nil 59 ref 5449 remove nil cons cons 60 ref 5448 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5447 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 5450 def eqMp 5451 def subst trans appThm 875 ref trans sym 100 ref eqMp nil 59 ref 70 ref 26 ref 29 ref 732 ref 3181 ref 4704 ref appTerm 5452 def appTerm appTerm 5431 ref appTerm 5453 def appTerm 36 ref appTerm appTerm 26 ref 5440 ref appTerm 5426 ref appTerm appTerm nil cons cons 60 ref 26 ref 38 ref 5453 ref appTerm 5440 ref appTerm appTerm 5427 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 5444 ref cons 5238 ref 7 ref 5440 remove nil cons cons 23 ref 5453 remove nil cons cons nil cons cons cons cons nil cons cons 905 ref subst eqMp eqMp eqMp 134 ref 135 ref 5430 ref nil cons cons 136 ref 5431 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 5430 remove appTerm nil cons cons 60 ref 5429 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 906 ref 5427 ref nil cons 5454 def cons 4796 ref 23 ref 5406 remove nil cons cons nil cons cons cons nil cons cons 1092 ref subst eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 5412 ref nil cons cons 5455 def 136 ref 5454 remove cons nil cons 5456 def cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 5423 remove cons 5457 def 109 ref 5414 ref cons nil cons 5458 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5419 remove cons 5459 def 5458 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 4689 remove 1065 ref appTerm appTerm 5460 def 5413 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 4690 remove appTerm 5461 def 5413 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 5400 ref 5458 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 5414 remove cons 60 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 26 ref 4680 remove 3084 ref appTerm 5462 def appTerm 5261 ref appTerm 5463 def absTerm 5464 def appTerm 5465 def absTerm 5466 def appTerm 5467 def absTerm 5468 def appTerm 5469 def nil cons 5470 def cons nil cons 5471 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 64 ref 5412 ref 36 ref appTerm 5472 def appTerm 5469 ref appTerm 5473 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 5473 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5472 ref nil cons 5474 def cons 5471 ref cons nil cons cons 5475 def 81 ref subst 5475 remove 152 ref subst 5472 ref betaConv 5472 remove assume eqMp nil 59 ref 5411 remove nil cons 5476 def cons 5477 def 5471 remove cons nil cons cons 5478 def 132 ref subst proveHyp 5478 ref 81 ref subst 5478 remove 152 ref subst 5468 ref 36 ref appTerm 5479 def betaConv 5480 def sym nil 135 ref 5466 ref nil cons cons 5481 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 5465 remove nil cons 5482 def cons nil cons nil cons cons 101 ref subst 50 ref 51 ref 5367 ref 4915 ref appThm appThm 3084 ref refl 5483 def appThm nil 3202 ref nil cons 5484 def nil cons cons 177 ref subst trans appThm 37 ref 8 ref appTerm 5485 def refl appThm nil 7 ref 5485 ref nil cons cons nil cons nil cons cons 185 ref subst trans sym 100 ref eqMp nil 59 ref 26 ref 29 ref 732 ref 4911 remove appTerm appTerm 3084 ref appTerm appTerm 5485 remove appTerm 5486 def nil cons cons 60 ref 22 ref 7 ref 64 ref 5463 ref appTerm 26 ref 29 ref 732 ref 4863 remove appTerm appTerm 3084 ref appTerm appTerm 37 ref 4837 ref appTerm 5487 def appTerm 5488 def appTerm 5489 def absTerm 5490 def appTerm 5491 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 135 ref 5490 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 5489 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5463 ref nil cons 5492 def cons 60 ref 5488 remove nil cons 5493 def cons nil cons cons nil cons cons 5494 def 81 ref subst 5494 remove 152 ref subst 50 ref 51 ref 5367 ref 4870 ref appThm appThm 5483 remove appThm appThm 5487 ref refl appThm sym 864 ref 26 ref 38 ref 29 ref 732 ref 4812 remove appTerm 5495 def appTerm 5496 def 865 ref appTerm appTerm 866 ref 3084 ref appTerm appTerm appTerm 5487 ref appTerm absTerm 5497 def 4679 ref appTerm betaConv sym 50 ref 3487 ref 51 ref 5367 ref nil 4755 ref nil cons cons 5498 def 5438 ref subst appThm appThm 4679 ref refl 5499 def appThm appThm 5462 ref refl appThm appThm 37 ref refl 5500 def 5439 remove appThm nil 879 ref 5230 ref cons 5501 def 5254 ref cons nil cons cons 3199 ref subst 5502 def trans appThm sym 26 ref 38 ref 29 ref 732 ref 3470 remove 4704 ref appTerm appTerm appTerm 4679 remove appTerm 5503 def appTerm 5462 ref appTerm appTerm 5504 def refl nil 7 ref 37 ref 4704 ref appTerm 5505 def nil cons 5506 def cons 5279 ref cons nil cons cons 3410 ref subst appThm sym 652 ref 50 ref 51 ref 5367 ref 5498 ref 23 ref 55 ref 5432 remove appTerm 4854 ref appTerm 5507 def absTerm 5508 def 31 ref appTerm 5509 def betaConv 49 ref 23 ref 5507 remove assume sym 5433 remove assume sym deductAntisym absThm appThm 5437 remove eqMp nil 59 ref 22 ref 5508 ref appTerm nil cons cons 60 ref 5509 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5508 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp subst appThm appThm 5499 remove appThm appThm nil 5254 ref nil cons cons 23 ref 55 ref 32 ref 4704 ref appTerm 5510 def appTerm 31 ref appTerm 5511 def absTerm 5512 def 31 ref appTerm 5513 def betaConv nil 22 ref 5512 ref appTerm 5514 def axiom 5515 def nil 59 ref 5514 remove nil cons cons 60 ref 5513 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5512 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp subst 5516 def appThm 4923 ref nil 94 ref 5409 remove nil cons cons nil cons nil cons cons 101 ref subst 5410 ref 34 ref appTerm 5517 def betaConv nil 5477 remove 60 ref 5517 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 5410 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp subst trans appThm nil 94 ref 5492 ref cons nil cons nil cons cons 101 ref subst 5518 def 5463 ref assume eqMp appThm 875 ref trans sym 100 ref eqMp nil 59 ref 70 ref 26 ref 5503 ref appTerm 5505 ref appTerm appTerm 5463 remove appTerm nil cons cons 60 ref 5504 remove 38 ref 5505 ref appTerm 5261 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 5278 remove cons 879 ref 5506 ref cons 7 ref 5462 remove nil cons cons 23 ref 5503 remove nil cons cons nil cons cons cons cons nil cons cons 905 ref subst eqMp eqMp eqMp eqMp 134 ref 135 ref 5497 ref nil cons cons 136 ref 4781 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 5497 remove appTerm nil cons cons 60 ref 26 ref 5496 remove 3084 ref appTerm appTerm 5487 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 906 ref 5487 remove nil cons cons 879 ref 3201 ref cons 23 ref 5495 remove nil cons cons nil cons cons cons nil cons cons 1092 ref subst eqMp eqMp eqMp nil 107 ref 5492 remove cons 109 ref 5493 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 59 ref 70 ref 5486 remove appTerm 5491 remove appTerm nil cons cons 60 ref 5482 ref cons nil cons cons nil cons cons 132 ref subst proveHyp 651 ref 652 ref 5464 ref 8 ref appTerm betaConv appThm 49 ref 7 ref 651 ref 5464 ref 34 ref appTerm 5519 def betaConv 5520 def appThm 5464 ref 4837 ref appTerm betaConv appThm absThm appThm appThm appThm 49 ref 7 ref 5520 ref absThm appThm appThm nil 4875 ref 5464 remove nil cons 5521 def cons nil cons nil cons cons 4888 ref subst eqMp eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 5468 ref nil cons cons 5522 def 136 ref 740 ref cons nil cons 5523 def cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 5476 remove cons 109 ref 5470 ref cons nil cons 5524 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5474 remove cons 5524 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5412 remove 1065 ref appTerm appTerm 5469 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5413 remove appTerm 5469 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 5455 remove 5524 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 5470 remove cons 60 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 26 ref 29 ref 3084 ref appTerm 5525 def 733 ref appTerm appTerm 5526 def 37 ref 797 ref appTerm appTerm 5527 def absTerm 5528 def appTerm 5529 def absTerm 5530 def appTerm absTerm 5531 def appTerm 5532 def nil cons 5533 def cons nil cons 5534 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 64 ref 5479 ref appTerm 5532 ref appTerm 5535 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 5535 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5479 ref nil cons 5536 def cons 5534 ref cons nil cons cons 5537 def 81 ref subst 5537 remove 152 ref subst 5480 remove 5479 remove assume eqMp nil 59 ref 5467 remove nil cons 5538 def cons 5539 def 5534 remove cons nil cons cons 5540 def 132 ref subst proveHyp 5540 ref 81 ref subst 5540 remove 152 ref subst 5531 ref 36 ref appTerm betaConv sym nil 135 ref 5530 remove nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 5529 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 5528 ref nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 5527 ref nil cons 5541 def cons nil cons nil cons cons 101 ref subst nil 59 ref 885 ref 31 ref appTerm 5542 def nil cons 5543 def cons 60 ref 5541 ref cons nil cons 5544 def cons nil cons cons 5545 def 81 ref subst 5545 remove 152 ref subst 4285 ref 7 ref 63 ref 957 ref appTerm 5546 def 20 ref "d" 3 ref var 5547 def 5096 ref 39 ref 5547 ref varTerm 5548 def appTerm 5549 def appTerm 5550 def absTerm 5551 def appTerm 5552 def appTerm absTerm 5553 def 34 ref appTerm 5554 def betaConv 23 ref 22 ref 5553 ref appTerm 5555 def absTerm 5556 def 31 ref appTerm 5557 def betaConv nil 22 ref 5556 ref appTerm 5558 def axiom nil 59 ref 5558 remove nil cons cons 60 ref 5557 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5556 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5555 remove nil cons cons 60 ref 5554 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5553 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 5559 def subst 5542 ref assume eqMp nil 59 ref 20 ref 5547 ref 4756 ref 3181 ref 5548 ref appTerm 5560 def appTerm 5561 def absTerm 5562 def appTerm 5563 def nil cons cons 5544 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 5547 ref 64 ref 5562 ref 5548 ref appTerm 5564 def appTerm 5527 ref appTerm 5565 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 5547 ref nil 94 ref 5565 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5564 ref nil cons 5566 def cons 5544 ref cons nil cons cons 5567 def 81 ref subst 5567 remove 152 ref subst 5564 ref betaConv 5564 remove assume eqMp nil 59 ref 5561 ref nil cons 5568 def cons 5544 ref cons nil cons cons 5569 def 132 ref subst proveHyp 5569 ref 81 ref subst 5569 remove 152 ref subst 63 ref "_16413" 3 ref var 5570 def 26 ref 29 ref 732 ref 5570 remove varTerm 5571 def appTerm appTerm 733 ref appTerm appTerm 37 ref 29 ref 5571 remove appTerm 34 ref appTerm appTerm appTerm absTerm 5572 def 31 ref appTerm 5573 def appTerm refl 5572 ref 5560 ref appTerm betaConv appThm 111 ref 5573 remove betaConv appThm 26 ref 29 ref 732 ref 5560 ref appTerm appTerm 733 ref appTerm appTerm 5574 def 37 ref 29 ref 5560 remove appTerm 34 ref appTerm appTerm appTerm refl appThm trans 5572 remove refl 5561 remove assume appThm eqMp sym 5574 remove refl 5500 ref nil 7 ref 5548 ref nil cons 5575 def cons 5576 def 167 ref cons nil cons cons 5577 def 5388 ref subst appThm appThm 5577 remove 5518 remove 5520 remove 5466 remove 31 ref appTerm 5578 def betaConv nil 5539 remove 60 ref 5578 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 5481 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5482 remove cons 60 ref 5519 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5521 remove cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 5579 def subst trans sym 100 ref eqMp eqMp eqMp nil 107 ref 5568 remove cons 109 ref 5541 ref cons nil cons 5580 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5566 remove cons 5580 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5562 ref 1065 ref appTerm appTerm 5527 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5563 remove appTerm 5527 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5562 remove nil cons cons 5580 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 5543 ref cons 5580 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 974 remove 5544 ref cons nil cons cons 5581 def 81 ref subst 5581 remove 152 ref subst 5559 ref 957 ref assume eqMp nil 59 ref 5552 ref nil cons cons 5544 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 5547 ref 64 ref 5551 ref 5548 ref appTerm 5582 def appTerm 5527 ref appTerm 5583 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 5547 ref nil 94 ref 5583 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5582 ref nil cons 5584 def cons 5544 ref cons nil cons cons 5585 def 81 ref subst 5585 remove 152 ref subst 5582 ref betaConv 5582 remove assume eqMp nil 59 ref 5550 ref nil cons 5586 def cons 5544 remove cons nil cons cons 5587 def 132 ref subst proveHyp 5587 ref 81 ref subst 5587 remove 152 ref subst 63 ref "_16411" 3 ref var 5588 def 26 ref 5525 ref 732 ref 5588 remove varTerm 5589 def appTerm appTerm appTerm 37 ref 796 ref 5589 remove appTerm appTerm appTerm absTerm 5590 def 34 ref appTerm 5591 def appTerm refl 5590 remove 5549 ref appTerm betaConv appThm 111 ref 5591 remove betaConv appThm 26 ref 5525 remove 732 ref 5549 ref appTerm 5592 def appTerm appTerm 37 ref 796 ref 5549 ref appTerm appTerm appTerm refl appThm trans 5528 remove refl 5550 remove assume appThm eqMp sym 50 ref nil 7 ref 5592 ref nil cons cons 23 ref 3201 ref cons nil cons 5593 def cons nil cons cons 805 ref subst appThm 5500 ref nil 7 ref 5549 remove nil cons cons nil cons nil cons cons 805 ref subst appThm appThm sym 26 ref 29 ref 5592 remove appTerm 3084 ref appTerm appTerm refl 5500 ref nil 5576 ref nil cons nil cons cons 5594 def 5388 remove subst appThm appThm 5594 remove 5579 remove subst trans sym 100 ref eqMp eqMp eqMp eqMp nil 107 ref 5586 remove cons 5580 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5584 remove cons 5580 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5551 ref 1065 ref appTerm appTerm 5527 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5552 remove appTerm 5527 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5551 remove nil cons cons 5580 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 1029 ref 5580 remove cons nil cons cons 123 ref subst deductAntisym eqMp 7 ref 1337 ref 957 ref appTerm 5595 def 5542 ref appTerm absTerm 5596 def 34 ref appTerm 5597 def betaConv 23 ref 22 ref 5596 ref appTerm 5598 def absTerm 5599 def 31 ref appTerm 5600 def betaConv nil 22 ref 5599 ref appTerm 5601 def axiom 5602 def nil 59 ref 5601 remove nil cons cons 5603 def 60 ref 5600 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5599 ref nil cons cons 5604 def 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5598 remove nil cons cons 60 ref 5597 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5596 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 1029 remove 109 ref 5543 remove cons 1422 ref 5541 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 5531 ref nil cons cons 5605 def 5523 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 5538 remove cons 109 ref 5533 ref cons nil cons 5606 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5536 remove cons 5606 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5468 remove 1065 ref appTerm appTerm 5532 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5469 remove appTerm 5532 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 5522 remove 5606 remove cons nil cons cons 1090 ref subst eqMp eqMp 5607 def nil 59 ref 5533 remove cons 5608 def 4663 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref "c" 3 ref var 5609 def 64 ref 5531 ref 5609 ref varTerm 5610 def appTerm 5611 def appTerm 4661 ref appTerm 5612 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 5609 ref nil 94 ref 5612 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5611 ref nil cons 5613 def cons 4663 ref cons nil cons cons 5614 def 81 ref subst 5614 remove 152 ref subst 5611 ref betaConv 5611 remove assume eqMp nil 59 ref 22 ref 23 ref 22 ref 7 ref 5526 ref 30 ref 5610 ref appTerm 5615 def 797 ref appTerm appTerm 5616 def absTerm 5617 def appTerm 5618 def absTerm 5619 def appTerm nil cons 5620 def cons 5621 def 4663 ref cons nil cons cons 5622 def 132 ref subst proveHyp 5622 ref 81 ref subst 5622 remove 152 ref subst 3124 ref nil 3125 ref 60 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 26 ref 29 ref 732 ref 3184 ref appTerm 5623 def appTerm 3082 ref appTerm 5624 def appTerm 5625 def 5257 ref 36 ref appTerm 5626 def appTerm absTerm appTerm absTerm appTerm absTerm 5627 def appTerm 5628 def nil cons 5629 def cons nil cons 5630 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 4694 ref 5628 ref appTerm 5631 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 5631 remove nil cons cons nil cons nil cons cons 101 ref subst nil 4697 ref 5630 ref cons nil cons cons 5632 def 81 ref subst 5632 remove 152 ref subst 4699 ref nil 4701 ref 5630 remove cons nil cons cons 5633 def 132 ref subst proveHyp 5633 ref 81 ref subst 5633 remove 152 ref subst 5627 ref 5248 ref 4706 ref appTerm 5634 def appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 5625 ref 38 ref 30 ref 5634 ref appTerm 31 ref appTerm 5635 def appTerm 5634 ref appTerm 5636 def appTerm 5637 def absTerm 5638 def appTerm 5639 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 5639 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 5638 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 5637 remove nil cons 5640 def cons nil cons nil cons cons 101 ref subst nil 1642 ref 5640 ref cons 1648 ref 5379 ref cons nil cons 5641 def cons nil cons cons 4753 remove subst nil 879 ref 5636 ref nil cons cons 5642 def 7 ref 5624 remove nil cons cons 167 ref cons cons nil cons cons 4779 ref subst trans 50 ref nil 879 ref 3246 ref cons 5643 def 7 ref 5623 ref nil cons 5644 def cons 167 ref cons cons nil cons cons 4795 ref subst appThm 35 ref 5636 ref appTerm 5645 def refl 5646 def appThm trans sym 50 ref 29 ref 35 ref 5623 ref appTerm appTerm 5647 def refl 5648 def nil 4796 ref 4284 ref cons nil cons cons 5649 def 879 ref 4271 remove 30 ref 3184 ref appTerm 5650 def 883 ref appTerm 5651 def appTerm 5652 def absTerm 5653 def 883 ref appTerm 5654 def betaConv 7 ref 22 ref 5653 ref appTerm 5655 def absTerm 5656 def 34 ref appTerm 5657 def betaConv 23 ref 22 ref 5656 ref appTerm 5658 def absTerm 5659 def 31 ref appTerm 5660 def betaConv nil 22 ref 5659 ref appTerm 5661 def axiom nil 59 ref 5661 remove nil cons cons 60 ref 5660 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5659 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5658 remove nil cons cons 60 ref 5657 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5656 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5655 remove nil cons cons 60 ref 5654 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5653 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 5662 def subst appThm appThm 5646 ref appThm sym 50 ref 5648 remove 4803 ref 4294 ref appThm 4301 ref appThm appThm appThm 5646 remove appThm sym nil 7 ref 5645 ref nil cons 5663 def cons 23 ref 37 ref 3181 ref 3184 ref appTerm appTerm 5664 def nil cons cons nil cons cons nil cons cons 5559 ref subst 48 ref 5547 ref 4802 ref nil 879 ref 5634 ref nil cons 5665 def cons 5666 def 7 ref 5635 remove nil cons cons 167 ref cons cons nil cons cons 3199 ref subst 3487 ref 165 ref nil 4282 ref 4721 ref 5254 ref cons cons nil cons cons 3225 ref subst 5258 ref nil 4283 ref 5381 ref cons nil cons cons 4293 ref subst appThm trans 5667 def appThm nil 879 ref 32 ref 4706 ref appTerm 5668 def nil cons 5669 def cons 5298 ref 167 ref cons cons nil cons cons 3199 ref subst 3487 ref nil 4282 ref 5251 ref cons nil cons cons 4281 ref subst 5500 ref 4294 remove appThm trans appThm nil 879 ref 4720 remove cons 5670 def 4284 ref cons nil cons cons 4281 ref subst appThm trans trans appThm nil 5670 ref 5251 remove cons nil cons cons 3199 ref subst 5267 remove 35 ref 4706 ref appTerm 5671 def refl appThm trans appThm trans appThm 3487 ref nil 879 ref 3184 ref nil cons 5672 def cons 5254 ref cons nil cons cons 3199 ref subst appThm 5548 ref refl 5673 def appThm appThm absThm appThm trans sym 48 ref 5547 ref 63 ref 55 ref 38 ref 38 ref 37 ref 3184 ref appTerm 5674 def appTerm 5675 def 32 ref 5671 ref appTerm 5676 def appTerm appTerm 5262 ref 5671 ref appTerm 5677 def appTerm appTerm 38 ref 5262 ref 5674 ref appTerm 5678 def appTerm 5548 ref appTerm appTerm appTerm refl nil 879 ref 5262 ref 5548 ref appTerm nil cons cons 7 ref 5262 ref 38 ref 5676 ref appTerm 5671 ref appTerm 5679 def appTerm nil cons cons 23 ref 5674 remove nil cons 5680 def cons nil cons 5681 def cons cons nil cons cons 5289 ref subst nil 879 ref 5575 ref cons 5682 def 7 ref 5679 ref nil cons 5683 def cons 5279 ref cons cons nil cons cons 5289 ref subst trans appThm 4802 ref 4802 ref nil 879 ref 5677 remove nil cons cons 7 ref 5676 remove nil cons 5684 def cons 5681 ref cons cons nil cons cons 5177 ref subst 5675 ref refl nil 879 ref 5671 remove nil cons cons 5309 ref 23 ref 5684 remove cons nil cons cons cons nil cons cons 5179 ref subst appThm nil 879 ref 5683 ref cons 5309 ref 5681 ref cons 5685 def cons nil cons cons 5179 ref subst 5686 def trans trans appThm 5686 remove appThm nil 136 ref 5262 ref 5675 remove 5679 remove appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans sym 100 ref eqMp appThm 4802 ref nil 5682 ref 7 ref 5680 ref cons 5279 ref cons cons nil cons cons 5177 ref subst 5263 ref nil 5576 ref 5681 remove cons nil cons cons 3410 ref subst appThm nil 879 ref 5680 remove cons 5576 ref 5279 ref cons cons nil cons cons 5179 ref subst trans 5687 def trans appThm nil 5682 ref 5685 remove cons nil cons cons 5179 ref subst 5687 remove trans appThm nil 136 ref 38 ref 5548 ref appTerm 5688 def 5678 remove appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans sym 100 ref eqMp appThm eqMp absThm appThm sym nil "a" 3 ref var 5689 def 5683 remove cons nil cons nil cons cons 190 ref nil 94 ref 204 ref 147 ref 3833 remove 148 ref appTerm 5690 def absTerm appTerm 5691 def nil cons cons nil cons nil cons cons 101 ref subst 439 ref 5691 remove absTerm 5692 def 445 ref appTerm 5693 def betaConv 2035 remove 439 ref 1444 ref 147 ref 5690 remove assume sym 548 remove 445 remove appTerm 5694 def assume sym deductAntisym absThm appThm absThm appThm nil 142 ref 439 remove 204 ref 147 ref 5694 remove absTerm appTerm absTerm appTerm axiom eqMp nil 59 ref 142 ref 5692 ref appTerm nil cons cons 60 ref 5693 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 5692 remove nil cons cons 519 remove cons nil cons cons 163 ref subst eqMp eqMp eqMp 5695 def subst 5696 def subst sym 100 ref eqMp eqMp eqMp nil 59 ref 26 ref 5664 remove appTerm 5645 ref appTerm nil cons cons 60 ref 26 ref 5647 remove 5650 ref 733 ref appTerm appTerm appTerm 5645 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 5663 remove cons 7 ref 5672 ref cons 5697 def 167 ref cons cons nil cons cons 879 ref 64 ref 26 ref 41 ref appTerm 883 ref appTerm appTerm 3087 remove 883 ref appTerm appTerm absTerm 5698 def 883 ref appTerm 5699 def betaConv 5323 remove nil 59 ref 5319 remove cons 60 ref 22 ref 5698 ref appTerm nil cons 5700 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 180 remove 3238 remove cons nil cons cons 1030 ref subst eqMp nil 59 ref 5700 remove cons 60 ref 5699 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5698 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp eqMp eqMp nil 59 ref 5379 ref cons 5701 def 60 ref 5640 ref cons nil cons 5702 def cons nil cons cons 5703 def 81 ref subst 5703 remove 152 ref subst 50 ref 3487 ref 5367 ref 52 ref 5368 ref assume 5704 def appThm 164 ref trans appThm appThm 52 ref 5367 ref 5704 ref appThm 5705 def appThm appThm appThm 3487 ref 5667 remove appThm 5634 ref refl appThm appThm sym nil 7 ref 38 ref 5257 ref 5668 ref appTerm appTerm 5634 ref appTerm 5706 def nil cons cons 23 ref 38 ref 4706 ref appTerm 5668 ref appTerm 5707 def nil cons cons nil cons cons nil cons cons 5559 ref subst sym 48 ref 5547 ref 63 ref 55 ref 5706 remove appTerm 38 ref 5707 remove appTerm 5548 ref appTerm appTerm appTerm refl nil 879 ref 38 ref 5668 remove appTerm 5708 def 5548 ref appTerm nil cons cons 7 ref 5708 ref 5626 ref appTerm nil cons cons 5381 ref cons cons nil cons cons 5289 ref subst nil 5682 ref 7 ref 5626 remove nil cons 5709 def cons 23 ref 5669 ref cons nil cons 5710 def cons cons nil cons cons 5289 remove subst trans appThm 4802 ref 4802 ref nil 5666 remove 7 ref 5669 remove cons 5711 def 5295 ref cons cons nil cons cons 5177 ref subst 5258 ref nil 5670 ref 741 ref 5710 ref cons 5712 def cons nil cons cons 5179 ref subst appThm nil 879 ref 5708 ref 4706 ref appTerm 5713 def nil cons cons 741 ref 5295 remove cons 5714 def cons nil cons cons 5179 ref subst trans trans appThm nil 879 ref 5709 ref cons 5711 remove 5381 ref cons 5715 def cons nil cons cons 5179 ref subst 5708 remove refl nil 5238 ref 5298 ref 5381 ref cons cons nil cons cons 5179 ref subst 5258 remove nil 741 ref 5381 remove cons nil cons cons 3410 ref subst appThm nil 5670 ref 5714 remove cons nil cons cons 5179 ref subst trans trans appThm nil 879 ref 5257 ref 4706 ref appTerm nil cons cons 5712 remove cons nil cons cons 5179 ref subst 5248 ref refl 5716 def nil 5670 ref 5298 remove 5710 remove cons cons nil cons cons 5179 ref subst appThm trans trans trans appThm nil 136 ref 5248 ref 5257 remove 5713 remove appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans sym 100 ref eqMp appThm nil 5682 ref 5715 remove cons nil cons cons 5177 ref subst appThm eqMp absThm appThm sym nil 5689 ref 5709 remove cons nil cons nil cons cons 5696 remove subst sym 100 ref eqMp eqMp eqMp eqMp nil 59 ref 26 ref 38 ref 5623 remove appTerm 3082 ref appTerm appTerm 5636 remove appTerm nil cons cons 5702 remove cons nil cons cons 132 ref subst proveHyp nil 5642 remove 7 ref 3246 ref cons 5717 def 23 ref 5644 remove cons nil cons cons cons nil cons cons 879 ref 64 ref 887 ref 883 ref appTerm appTerm 26 ref 797 ref appTerm 5718 def 883 ref appTerm 5719 def appTerm absTerm 5720 def 883 ref appTerm 5721 def betaConv 7 ref 5718 ref 40 ref appTerm 5722 def absTerm 5723 def 34 ref appTerm 5724 def betaConv 23 ref 22 ref 5723 ref appTerm 5725 def absTerm 5726 def 31 ref appTerm 5727 def betaConv nil 22 ref 5726 ref appTerm 5728 def axiom nil 59 ref 5728 remove nil cons cons 60 ref 5727 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5726 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5725 remove nil cons cons 60 ref 5724 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5723 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 5729 def nil 59 ref 5722 remove nil cons 5730 def cons 60 ref 22 ref 5720 ref appTerm nil cons 5731 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4922 ref 23 ref 797 ref nil cons 5732 def cons nil cons cons nil cons cons 1030 ref subst eqMp nil 59 ref 5731 remove cons 60 ref 5721 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5720 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp nil 107 ref 5379 ref cons 5733 def 109 ref 5640 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp 1890 ref 5368 ref appTerm 5734 def betaConv 1893 ref nil 1894 ref 60 ref 5734 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1895 ref 198 ref 5379 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 5735 def nil 5733 ref 109 ref 1237 ref 5368 ref appTerm 5736 def nil cons 5737 def cons 5738 def 1422 ref 5640 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 5627 ref nil cons cons 5739 def 136 ref 5665 remove cons nil cons 5740 def cons nil cons cons 279 ref subst proveHyp eqMp nil 5401 ref 109 ref 5629 ref cons nil cons 5741 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 5403 ref 5741 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3278 ref 5628 ref appTerm absTerm appTerm nil cons cons 60 ref 3279 ref 5628 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3280 ref 5741 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 5629 remove cons 4663 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 5547 ref 64 ref 5627 ref 5548 ref appTerm 5742 def appTerm 4661 ref appTerm 5743 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 5547 ref nil 94 ref 5743 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5742 ref nil cons 5744 def cons 4663 ref cons nil cons cons 5745 def 81 ref subst 5745 remove 152 ref subst 5742 ref betaConv 5742 remove assume eqMp nil 59 ref 22 ref 23 ref 22 ref 7 ref 5625 remove 38 ref 30 ref 5548 ref appTerm 5746 def 31 ref appTerm 5747 def appTerm 5748 def 5548 ref appTerm 5749 def appTerm 5750 def absTerm 5751 def appTerm 5752 def absTerm 5753 def appTerm nil cons 5754 def cons 5755 def 4663 ref cons nil cons cons 5756 def 132 ref subst proveHyp 5756 ref 81 ref subst 5756 remove 152 ref subst 48 ref 5689 ref 48 ref 4664 ref 652 ref 4802 ref nil 7 ref 4298 ref 732 ref 787 ref 8 ref appTerm 5757 def appTerm 5758 def appTerm 5759 def nil cons cons nil cons nil cons cons 177 ref subst appThm 4820 ref appThm 4834 ref trans appThm 22 ref 23 ref 22 ref 7 ref 4660 ref 38 ref 30 ref 5689 ref varTerm 5760 def appTerm 5761 def 40 ref appTerm appTerm 4665 ref appTerm 5762 def appTerm absTerm appTerm absTerm appTerm 5763 def refl appThm nil 94 ref 5763 ref nil cons cons nil cons nil cons cons 874 ref subst trans absThm appThm absThm appThm sym 5689 ref 20 ref 4664 ref 5763 ref absTerm appTerm absTerm 5764 def 5688 ref 5615 ref 4665 ref appTerm 5765 def appTerm 5766 def appTerm betaConv sym "b'" 3 ref var 5767 def 22 ref 23 ref 22 ref 7 ref 4660 ref 38 ref 30 ref 5766 ref appTerm 40 ref appTerm 5768 def appTerm 5769 def 5767 remove varTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 5770 def 5688 ref 5548 ref appTerm 5771 def appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 4660 ref 5769 remove 5771 ref appTerm 5772 def appTerm 5773 def absTerm 5774 def appTerm 5775 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 5775 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 5774 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 5773 remove nil cons 5776 def cons nil cons nil cons cons 101 ref subst 864 ref 70 ref 4660 ref 865 ref appTerm appTerm 4717 ref 5772 ref appTerm appTerm absTerm 5777 def 38 ref 5749 ref appTerm 38 ref 38 ref 5746 ref 34 ref appTerm 5778 def appTerm 5779 def 5548 ref appTerm 5780 def appTerm 5615 ref 4671 ref appTerm 5781 def appTerm 5782 def appTerm 5783 def appTerm betaConv sym 864 ref 26 ref 38 ref 4657 ref 865 ref appTerm appTerm 866 ref 4658 ref appTerm appTerm appTerm 5783 ref appTerm absTerm 5784 def 732 ref 3152 ref appTerm 5785 def appTerm betaConv sym 652 ref 50 ref nil 7 ref 5785 ref nil cons 5786 def cons 5787 def 23 ref 4656 remove nil cons cons nil cons 5788 def cons nil cons cons 805 ref subst appThm 5749 ref refl appThm appThm 50 ref nil 7 ref 4658 ref nil cons 5789 def cons 23 ref 5786 ref cons nil cons cons nil cons cons 805 ref subst appThm 5782 ref refl appThm appThm sym 652 ref nil 3335 ref nil cons 5790 def nil cons cons nil 94 ref 5750 remove nil cons cons nil cons nil cons cons 101 ref subst 5751 ref 34 ref appTerm 5791 def betaConv 5753 ref 31 ref appTerm 5792 def betaConv nil 5755 remove 60 ref 5792 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 5753 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5752 remove nil cons cons 60 ref 5791 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5751 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 5793 def subst appThm 26 ref 29 ref 4658 ref appTerm 5794 def 5785 ref appTerm appTerm 5782 ref appTerm 5795 def refl appThm nil 94 ref 5795 remove nil cons 5796 def cons nil cons nil cons cons 874 ref subst trans sym 864 ref 26 ref 38 ref 5794 ref 865 ref appTerm appTerm 866 ref 5785 ref appTerm appTerm appTerm 5782 ref appTerm absTerm 5797 def 732 ref 3153 ref appTerm 5798 def appTerm betaConv sym 652 ref 50 ref nil 7 ref 5798 ref nil cons 5799 def cons 23 ref 5789 ref cons nil cons 5800 def cons nil cons cons 805 ref subst appThm 5780 ref refl appThm appThm 50 ref nil 5787 remove 23 ref 5799 ref cons nil cons cons nil cons cons 805 ref subst appThm 5781 ref refl appThm appThm sym 652 ref nil 7 ref 3200 remove cons 5801 def 167 ref cons 5802 def nil cons cons 5793 remove subst appThm 26 ref 29 ref 5785 ref appTerm 5803 def 5798 ref appTerm 5804 def appTerm 5805 def 5781 ref appTerm 5806 def refl appThm nil 94 ref 5806 remove nil cons 5807 def cons nil cons nil cons cons 874 ref subst trans sym 864 ref 70 ref 5805 remove 865 ref appTerm appTerm 4717 ref 5781 ref appTerm appTerm absTerm 5808 def 5615 ref 3154 ref appTerm 5809 def appTerm betaConv sym 652 ref nil 7 ref 3241 ref cons 5810 def 23 ref 3245 ref cons nil cons 5811 def cons 5812 def nil cons cons nil 94 ref 5616 remove nil cons cons nil cons nil cons cons 101 ref subst 5617 ref 34 ref appTerm 5813 def betaConv 5619 ref 31 ref appTerm 5814 def betaConv nil 5621 remove 60 ref 5814 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 5619 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5618 remove nil cons cons 60 ref 5813 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5617 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp subst appThm nil 879 ref 4671 remove nil cons cons 3236 remove 23 ref 5610 ref nil cons 5815 def cons nil cons 5816 def cons cons nil cons cons 4772 ref 883 ref appTerm 5817 def betaConv 4774 ref 34 ref appTerm 5818 def betaConv 4776 ref 31 ref appTerm 5819 def betaConv 4778 remove nil 59 ref 4777 remove nil cons cons 60 ref 5819 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4776 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4775 remove nil cons cons 60 ref 5818 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4774 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4773 remove nil cons cons 60 ref 5817 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4772 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 5820 def subst 1337 ref 55 ref 5610 ref appTerm 8 ref appTerm 5821 def appTerm refl nil 94 ref 4672 remove nil cons cons nil cons nil cons cons 101 ref subst 4673 ref 34 ref appTerm 5822 def betaConv 4675 ref 31 ref appTerm 5823 def betaConv nil 4677 remove 60 ref 5823 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 4675 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4674 remove nil cons cons 60 ref 5822 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 4673 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm nil 94 ref 5821 remove nil cons cons nil cons nil cons cons 1887 ref subst trans trans appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 5808 ref nil cons cons 136 ref 5809 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 5808 remove appTerm nil cons cons 60 ref 5807 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 5781 ref nil cons 5824 def cons 5825 def 23 ref 5804 remove nil cons cons nil cons cons nil cons cons 5363 ref subst eqMp eqMp eqMp nil 59 ref 70 ref 26 ref 5794 remove 5798 ref appTerm 5826 def appTerm 5780 ref appTerm appTerm 26 ref 29 ref 5798 remove appTerm 5785 ref appTerm 5827 def appTerm 5781 remove appTerm appTerm nil cons cons 60 ref 26 ref 38 ref 5826 ref appTerm 5827 ref appTerm appTerm 5782 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 5824 ref cons 879 ref 5780 remove nil cons cons 7 ref 5827 remove nil cons cons 23 ref 5826 remove nil cons cons nil cons cons cons cons nil cons cons 905 ref subst eqMp eqMp 134 ref 135 ref 5797 ref nil cons cons 136 ref 5799 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 5797 remove appTerm nil cons cons 60 ref 5796 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 906 ref 5782 ref nil cons 5828 def cons 879 ref 5786 ref cons 5800 remove cons cons nil cons cons 1092 ref subst eqMp eqMp eqMp nil 59 ref 70 ref 26 ref 4657 remove 5785 remove appTerm 5829 def appTerm 5749 ref appTerm appTerm 26 ref 5803 remove 4658 remove appTerm 5830 def appTerm 5782 remove appTerm appTerm nil cons cons 60 ref 26 ref 38 ref 5829 ref appTerm 5830 ref appTerm appTerm 5783 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 5828 ref cons 879 ref 5749 remove nil cons cons 7 ref 5830 remove nil cons cons 23 ref 5829 remove nil cons cons nil cons cons cons cons nil cons cons 905 ref subst eqMp eqMp 134 ref 135 ref 5784 ref nil cons cons 136 ref 5786 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 5784 remove appTerm nil cons cons 60 ref 4660 remove 5783 ref appTerm nil cons 5831 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 906 ref 5783 ref nil cons 5832 def cons 879 ref 5789 remove cons 5788 remove cons cons nil cons cons 1092 ref subst eqMp nil 59 ref 5831 remove cons 60 ref 26 ref 5783 ref appTerm 5772 ref appTerm nil cons cons nil cons 5833 def cons nil cons cons 152 ref subst proveHyp 4802 ref nil 879 ref 5828 remove cons 5576 ref 23 ref 5747 remove nil cons cons nil cons 5834 def cons 5835 def cons nil cons cons 5836 def 5177 ref subst 5836 remove 5179 ref subst trans 5688 ref refl 5837 def 5748 ref refl nil 5825 remove 5576 ref 23 ref 5778 ref nil cons 5838 def cons nil cons 5839 def cons cons nil cons cons 5840 def 5177 ref subst 5840 remove 5179 ref subst trans 5837 ref nil 7 ref 5824 remove cons 5839 remove cons nil cons cons 3410 ref subst 3487 ref nil 3206 ref 7 ref 4665 ref nil cons 5841 def cons 5842 def 5816 ref cons 5843 def cons nil cons cons 5662 ref subst nil 4268 ref 4283 ref 23 ref 5765 ref nil cons 5844 def cons nil cons cons cons nil cons cons 3199 ref subst 5845 def trans appThm 5778 remove refl appThm nil 879 ref 5838 ref cons 7 ref 30 ref 5765 remove appTerm 5846 def 34 ref appTerm 5847 def nil cons 5848 def cons 23 ref 5846 remove 31 ref appTerm 5849 def nil cons cons nil cons 5850 def cons cons nil cons cons 5177 ref subst 38 ref 5849 remove appTerm 5851 def refl nil 7 ref 5838 remove cons 5852 def 23 ref 5848 ref cons nil cons cons nil cons cons 3410 ref subst appThm nil 879 ref 5848 remove cons 5852 ref 5850 remove cons cons nil cons cons 5179 ref subst trans trans trans trans appThm trans appThm nil 879 ref 5779 remove 5851 remove 5847 remove appTerm 5853 def appTerm 5854 def nil cons cons 5835 remove cons nil cons cons 5179 ref subst trans appThm trans appThm nil 5682 ref 5576 ref 23 ref 5768 remove nil cons cons nil cons cons 5855 def cons nil cons cons 5179 ref subst 5837 ref nil 5855 remove nil cons cons 3410 ref subst 5837 ref nil 3206 ref 7 ref 5844 remove cons 23 ref 5575 remove cons nil cons 5856 def cons cons nil cons cons 3225 ref subst 3487 ref nil 4268 ref 4283 ref 5856 ref cons cons nil cons cons 3199 ref subst appThm 5845 remove appThm nil 879 ref 5853 remove nil cons cons 5852 remove 5834 remove cons cons nil cons cons 5177 ref subst trans trans appThm trans appThm trans appThm nil 136 ref 5688 ref 5688 ref 5748 remove 5854 remove appTerm appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans sym 100 ref eqMp nil 59 ref 55 ref 5783 remove appTerm 5772 ref appTerm nil cons cons 5833 remove cons nil cons cons 132 ref subst proveHyp nil 7 ref 5772 remove nil cons 5857 def cons 23 ref 5832 ref cons nil cons cons nil cons cons 7 ref 64 ref 4901 ref appTerm 5858 def 957 ref appTerm absTerm 5859 def 34 ref appTerm 5860 def betaConv 23 ref 22 ref 5859 ref appTerm 5861 def absTerm 5862 def 31 ref appTerm 5863 def betaConv nil 22 ref 5862 ref appTerm 5864 def axiom nil 59 ref 5864 remove nil cons cons 60 ref 5863 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5862 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5861 remove nil cons cons 60 ref 5860 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5859 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp eqMp 134 ref 135 ref 5777 ref nil cons cons 136 ref 5832 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 5777 remove appTerm nil cons cons 60 ref 5776 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 5857 remove cons 23 ref 4659 ref nil cons cons nil cons cons nil cons cons 5363 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 5770 remove nil cons cons 136 ref 5771 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 5764 remove nil cons cons 136 ref 5766 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 59 ref 20 ref 5689 ref 20 ref 4664 ref 70 ref 55 ref 29 ref 5759 ref appTerm 5759 remove appTerm appTerm 8 ref appTerm appTerm 5763 remove appTerm absTerm appTerm absTerm appTerm nil cons cons 4663 remove cons nil cons cons 132 ref subst proveHyp 651 ref 48 ref 5689 ref 48 ref 4664 ref 652 ref 4802 ref 23 ref 7 ref 4659 remove absTerm 5865 def absTerm 5866 def 8 ref appTerm betaConv 4820 ref appThm 7 ref 29 ref 4298 ref 4652 ref appTerm appTerm 35 ref 5758 remove appTerm appTerm absTerm 8 ref appTerm betaConv trans appThm 4820 ref appThm appThm 49 ref 23 ref 49 ref 7 ref 50 ref 5866 ref 31 ref appTerm betaConv 3282 ref appThm 5865 remove 34 ref appTerm betaConv trans appThm 5867 def 5762 ref refl 5868 def appThm absThm appThm absThm appThm appThm absThm appThm absThm appThm appThm 48 ref 21 ref 49 ref 23 ref 49 ref 7 ref 5867 remove 178 ref appThm absThm appThm absThm appThm absThm appThm appThm nil "p" 28 ref var 5869 def 5866 remove nil cons cons nil cons nil cons cons 5869 ref 64 ref 20 ref 5689 ref 20 ref 4664 ref 70 ref 55 ref 5869 ref varTerm 5870 def 8 ref appTerm 8 ref appTerm appTerm 8 ref appTerm appTerm 22 ref 23 ref 22 ref 7 ref 26 ref 5870 ref 31 ref appTerm 34 ref appTerm appTerm 5871 def 5762 ref appTerm absTerm appTerm absTerm appTerm appTerm 5872 def absTerm 5873 def appTerm 5874 def absTerm 5875 def appTerm 5876 def appTerm 5877 def 20 ref 5609 ref 22 ref 23 ref 22 ref 7 ref 5871 remove 5615 ref 40 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm 5878 def appTerm 5879 def absTerm 5880 def 5870 ref appTerm 5881 def betaConv nil 0 ref 1 ref 1 ref 28 ref 17 ref cons opType 5882 def 17 ref cons opType constTerm 5883 def 5869 ref 22 ref 5689 ref 22 ref 4664 ref 64 ref 5872 ref appTerm 5878 ref appTerm absTerm 5884 def appTerm 5885 def absTerm 5886 def appTerm 5887 def absTerm 5888 def appTerm 5889 def axiom nil 59 ref 5889 ref nil cons 5890 def cons 5891 def 60 ref 5883 remove 5880 ref appTerm nil cons 5892 def cons nil cons cons nil cons cons 5893 def 132 ref subst proveHyp 5893 ref 81 ref subst 5893 remove 152 ref subst nil "P" 5882 remove var 5894 def 5880 remove nil cons cons 5895 def nil cons nil cons cons "A" 28 ref nil cons cons nil cons 5896 def 189 ref cons 260 ref subst subst 5869 ref nil 94 ref 5879 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5876 remove nil cons 5897 def cons 5898 def 60 ref 5878 ref nil cons 5899 def cons nil cons 5900 def cons nil cons cons 5901 def 81 ref subst 5901 remove 152 ref subst nil 5891 ref 5900 ref cons nil cons cons 5902 def 132 ref subst nil 5898 remove 60 ref 64 ref 5889 remove appTerm 5878 remove appTerm 5903 def nil cons 5904 def cons nil cons 5905 def cons nil cons cons 132 ref subst nil 135 ref 5689 ref 64 ref 5875 ref 5760 ref appTerm 5906 def appTerm 5903 ref appTerm 5907 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 5689 ref nil 94 ref 5907 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5906 ref nil cons 5908 def cons 5905 ref cons nil cons cons 5909 def 81 ref subst 5909 remove 152 ref subst 5906 ref betaConv 5906 remove assume eqMp nil 59 ref 5874 ref nil cons cons 5905 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 4664 ref 64 ref 5873 ref 4665 ref appTerm 5910 def appTerm 5903 ref appTerm 5911 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 4664 ref nil 94 ref 5911 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 5910 ref nil cons 5912 def cons 5905 ref cons nil cons cons 5913 def 81 ref subst 5913 remove 152 ref subst 5910 ref betaConv 5910 remove assume eqMp nil 59 ref 5872 remove nil cons 5914 def cons 5915 def 5905 remove cons nil cons cons 5916 def 132 ref subst proveHyp 5916 ref 81 ref subst 5916 remove 152 ref subst 5902 ref 81 ref subst 5902 remove 152 ref subst nil 5915 remove 5900 remove cons nil cons cons 132 ref subst 5884 ref 4665 ref appTerm 5917 def betaConv 5886 ref 5760 ref appTerm 5918 def betaConv 5888 ref 5870 ref appTerm 5919 def betaConv nil 5891 remove 60 ref 5919 remove nil cons cons nil cons cons nil cons cons 132 ref subst 5896 ref 5894 remove 5888 remove nil cons cons "x" 28 ref var 5870 remove nil cons cons nil cons 5920 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5887 remove nil cons cons 60 ref 5918 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5886 remove nil cons cons 136 ref 5760 ref nil cons 5921 def cons nil cons 5922 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5885 remove nil cons cons 60 ref 5917 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5884 remove nil cons cons 136 ref 5841 ref cons nil cons 5923 def cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 5890 remove cons 5924 def 109 ref 5899 remove cons nil cons 5925 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 5914 remove cons 109 ref 5904 remove cons nil cons 5926 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5912 remove cons 5926 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5873 ref 1065 ref appTerm appTerm 5903 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5874 remove appTerm 5903 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5873 remove nil cons cons 5926 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 5908 remove cons 5926 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5875 ref 1065 ref appTerm appTerm 5903 ref appTerm absTerm appTerm nil cons cons 60 ref 5877 remove 5903 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5875 remove nil cons cons 5926 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 5897 remove cons 5925 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 5924 remove 109 ref 5892 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 5892 remove cons 60 ref 5881 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 5896 remove 5895 remove 5920 remove cons nil cons cons 163 ref subst eqMp eqMp 5927 def subst eqMp eqMp eqMp nil 107 ref 5754 remove cons 109 ref 4662 remove cons nil cons 5928 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5744 remove cons 5928 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5627 remove 1065 ref appTerm appTerm 4661 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5628 remove appTerm 4661 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 5739 remove 5928 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 5620 remove cons 5928 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 5613 remove cons 5928 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5531 ref 1065 ref appTerm appTerm 5929 def 4661 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5532 remove appTerm 5930 def 4661 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 5605 ref 5928 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 4676 remove cons 5928 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 4668 remove cons 5928 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3273 ref 4661 ref appTerm absTerm appTerm nil cons cons 60 ref 3274 ref 4661 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3275 ref 5928 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp 5931 def 3282 ref appThm 4655 remove trans 5932 def appThm 5933 def 785 ref 5931 ref subst 3282 ref appThm 7 ref 787 ref 733 ref appTerm 5934 def absTerm 34 ref appTerm betaConv trans appThm appThm 739 ref appThm absThm appThm absThm appThm trans sym 3124 ref nil 3125 ref 60 ref 20 ref "A" 3 ref var 5935 def 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 35 ref 4652 ref appTerm 5936 def appTerm 5937 def 30 ref 733 ref appTerm 5938 def 788 ref appTerm 5939 def appTerm 5940 def appTerm 5941 def 38 ref 30 ref 5935 ref varTerm 5942 def appTerm 5943 def 34 ref appTerm 5944 def appTerm 5945 def 36 ref appTerm 5946 def appTerm absTerm appTerm absTerm appTerm absTerm 5947 def appTerm 5948 def nil cons 5949 def cons nil cons 5950 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 4694 ref 5948 ref appTerm 5951 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 5951 remove nil cons cons nil cons nil cons cons 101 ref subst nil 4697 ref 5950 ref cons nil cons cons 5952 def 81 ref subst 5952 remove 152 ref subst 4699 ref nil 4701 ref 5950 ref cons nil cons cons 5953 def 132 ref subst proveHyp 5953 ref 81 ref subst 5953 remove 152 ref subst 219 ref 20 ref 5935 ref 20 ref 21 ref 22 ref 7 ref 26 ref 733 ref appTerm 5954 def 5946 ref appTerm absTerm appTerm absTerm appTerm absTerm 5955 def appTerm 5956 def absTerm 5957 def 320 ref appTerm 5958 def betaConv nil 243 ref 5957 ref nil cons cons 5959 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 5956 ref nil cons 5960 def cons nil cons nil cons cons 101 ref subst 3124 ref nil 3125 ref 60 ref 5960 ref cons nil cons 5961 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 4694 ref 5956 ref appTerm 5962 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 5962 remove nil cons cons nil cons nil cons cons 101 ref subst nil 4697 ref 5961 ref cons nil cons cons 5963 def 81 ref subst 5963 remove 152 ref subst 4699 ref nil 4701 ref 5961 remove cons nil cons cons 5964 def 132 ref subst proveHyp 5964 ref 81 ref subst 5964 remove 152 ref subst 5955 ref 5427 ref appTerm betaConv sym "B'" 3 ref var 5965 def 22 ref 7 ref 5954 ref 38 ref 30 ref 5427 remove appTerm 34 ref appTerm appTerm 5966 def 5965 ref varTerm 5967 def appTerm appTerm absTerm appTerm absTerm 5968 def 36 ref appTerm betaConv sym nil 135 ref 7 ref 5954 ref 5966 remove 36 ref appTerm appTerm 5969 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 5969 ref nil cons 5970 def cons nil cons nil cons cons 101 ref subst 864 ref 26 ref 29 ref 35 ref 732 ref 865 ref appTerm 5971 def appTerm appTerm 30 ref 865 ref appTerm 5972 def 733 ref appTerm appTerm appTerm 37 ref 3181 ref 865 ref appTerm appTerm appTerm absTerm 5973 def 4704 ref appTerm 5974 def betaConv 3091 remove 34 ref appTerm 5975 def betaConv nil 4701 ref 60 ref 5975 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 5322 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 5973 ref appTerm nil cons cons 60 ref 5974 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5973 remove nil cons cons 136 ref 5230 ref cons nil cons 5976 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 26 ref 29 ref 35 ref 5426 ref appTerm 5977 def appTerm 5240 ref 733 ref appTerm 5978 def appTerm appTerm 37 ref 5452 remove appTerm 5979 def appTerm nil cons cons 60 ref 5970 ref cons nil cons 5980 def cons nil cons cons 132 ref subst proveHyp 651 ref nil 879 ref 5979 ref nil cons cons 7 ref 5978 remove nil cons cons 23 ref 5977 ref nil cons 5981 def cons nil cons 5982 def cons cons nil cons cons 879 ref 63 ref 5719 remove appTerm 70 ref 882 ref 3182 remove appTerm appTerm 885 ref 3557 ref appTerm appTerm appTerm absTerm 5983 def 883 ref appTerm 5984 def betaConv 7 ref 22 ref 5983 ref appTerm 5985 def absTerm 5986 def 34 ref appTerm 5987 def betaConv 23 ref 22 ref 5986 ref appTerm 5988 def absTerm 5989 def 31 ref appTerm 5990 def betaConv nil 22 ref 5989 ref appTerm 5991 def axiom nil 59 ref 5991 remove nil cons cons 60 ref 5990 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5989 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5988 remove nil cons cons 60 ref 5987 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5986 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5985 remove nil cons cons 60 ref 5984 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5983 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 5992 def subst 652 ref 26 ref 5977 ref appTerm 5993 def refl 3487 ref 737 ref 5244 ref subst 5994 def appThm 5979 ref refl appThm appThm appThm 50 ref 5994 remove appThm 38 ref 5977 ref appTerm 5995 def 5979 ref appTerm 5996 def refl appThm appThm trans appThm 5969 remove refl appThm sym nil 59 ref 70 ref 5993 remove 3071 ref 5979 remove appTerm appTerm 5997 def appTerm 5954 ref 5996 remove appTerm 5998 def appTerm nil cons 5999 def cons 5980 ref cons nil cons cons 6000 def 81 ref subst 6000 remove 152 ref subst nil 107 ref 5997 remove nil cons cons 109 ref 5998 remove nil cons 6001 def cons nil cons cons nil cons cons 687 ref subst nil 59 ref 6001 remove cons 5980 remove cons nil cons cons 132 ref subst proveHyp 651 ref 5954 ref refl 6002 def 5995 remove refl 5502 remove 5263 ref 5516 ref appThm trans appThm appThm appThm 6002 ref 3487 ref nil 4268 ref 5445 remove 5254 ref cons cons nil cons cons 3225 ref subst appThm 739 ref appThm appThm appThm sym 651 ref 6002 ref nil 5238 ref 5309 remove 5982 ref cons cons nil cons cons 5179 ref subst 5263 ref nil 741 ref 5982 remove cons nil cons cons 3410 ref subst appThm nil 879 ref 5981 remove cons 741 ref 5279 ref cons cons nil cons cons 5179 ref subst 6003 def trans trans appThm appThm 6002 ref nil 5238 ref 7 ref 30 ref 5426 remove appTerm 34 ref appTerm nil cons 6004 def cons 5279 ref cons cons nil cons cons 5177 ref subst 5263 remove nil 741 ref 23 ref 6004 remove cons nil cons cons nil cons cons 3410 ref subst 5716 remove nil 23 ref 5444 remove cons nil cons nil cons cons 4293 ref subst appThm trans appThm 6003 remove trans trans appThm appThm nil 94 ref 5954 ref 5248 ref 5262 ref 5977 remove appTerm appTerm appTerm nil cons cons nil cons nil cons cons 2485 ref subst trans sym 100 ref eqMp eqMp eqMp eqMp nil 107 ref 5999 remove cons 109 ref 5970 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 5968 remove nil cons cons 5523 ref cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 5955 ref nil cons cons 6005 def 5456 remove cons nil cons cons 279 ref subst proveHyp eqMp nil 5401 ref 109 ref 5960 ref cons nil cons 6006 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 5403 ref 6006 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3278 ref 5956 ref appTerm absTerm appTerm nil cons cons 60 ref 3279 ref 5956 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3280 ref 6006 remove cons nil cons cons 1090 ref subst eqMp eqMp 6007 def eqMp 6008 def absThm eqMp nil 59 ref 705 ref 5957 remove appTerm nil cons cons 60 ref 5958 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 5959 remove 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 20 ref 5935 ref 20 ref 21 ref 22 ref 7 ref 26 ref 788 ref appTerm 6009 def 5946 ref appTerm absTerm appTerm absTerm appTerm absTerm 6010 def appTerm 6011 def nil cons cons 5950 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref "M" 3 ref var 6012 def 64 ref 6010 ref 6012 ref varTerm 6013 def appTerm 6014 def appTerm 5948 ref appTerm 6015 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6012 remove nil 94 ref 6015 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6014 ref nil cons 6016 def cons 5950 ref cons nil cons cons 6017 def 81 ref subst 6017 remove 152 ref subst 6014 ref betaConv 6014 remove assume eqMp nil 59 ref 20 ref 21 ref 22 ref 7 ref 6009 ref 38 ref 30 ref 6013 ref appTerm 34 ref appTerm 6018 def appTerm 6019 def 36 ref appTerm appTerm absTerm appTerm absTerm 6020 def appTerm 6021 def nil cons cons 5950 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref "L" 3 ref var 6022 def 64 ref 6020 ref 6022 ref varTerm 6023 def appTerm 6024 def appTerm 5948 ref appTerm 6025 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6022 remove nil 94 ref 6025 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6024 ref nil cons 6026 def cons 5950 ref cons nil cons cons 6027 def 81 ref subst 6027 remove 152 ref subst 6024 ref betaConv 6024 remove assume eqMp nil 59 ref 22 ref 7 ref 6009 ref 6019 remove 6023 ref appTerm 6028 def appTerm 6029 def absTerm 6030 def appTerm nil cons 6031 def cons 6032 def 5950 remove cons nil cons cons 6033 def 132 ref subst proveHyp 6033 ref 81 ref subst 6033 remove 152 ref subst 5947 ref 37 ref 4804 ref 6013 ref appTerm appTerm 6034 def appTerm betaConv sym 5965 ref 22 ref 7 ref 5941 ref 38 ref 30 ref 6034 ref appTerm 34 ref appTerm appTerm 6035 def 5967 ref appTerm appTerm absTerm appTerm absTerm 6036 def 37 ref 6023 ref appTerm 6037 def appTerm betaConv sym nil 135 ref 7 ref 5941 ref 6035 remove 6037 ref appTerm 6038 def appTerm 6039 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 6039 remove nil cons cons nil cons nil cons cons 101 ref subst 50 ref 5937 ref refl nil 3336 ref nil cons cons 6040 def 4293 ref subst 6041 def appThm appThm 6038 ref refl appThm sym 864 ref 70 ref 26 ref 5937 ref 30 ref 788 ref appTerm 6042 def 733 ref appTerm 6043 def appTerm 6044 def appTerm 6045 def 865 ref appTerm appTerm 4717 ref 6038 ref appTerm appTerm absTerm 6046 def 37 ref 3181 ref 788 ref appTerm appTerm 6047 def appTerm betaConv sym 652 ref nil 3335 ref 167 ref cons nil cons cons 5324 remove subst appThm 26 ref 6047 ref appTerm 6038 ref appTerm 6048 def refl appThm nil 94 ref 6048 remove nil cons cons nil cons nil cons cons 874 ref subst trans sym 50 ref nil 3180 remove 5254 ref cons nil cons cons 3199 ref subst appThm 3487 ref 4803 ref nil 879 ref 6013 ref nil cons 6049 def cons 5231 ref 5254 ref cons cons nil cons cons 3199 ref subst appThm 3282 ref appThm nil 4268 ref 7 ref 37 ref 6013 remove appTerm 6050 def nil cons cons 23 ref 5506 remove cons nil cons cons cons nil cons cons 3225 ref subst trans appThm 6037 ref refl 6051 def appThm appThm sym 26 ref 5262 remove 37 ref 788 ref appTerm 6052 def appTerm appTerm refl nil 879 ref 6037 ref nil cons 6053 def cons 7 ref 30 ref 6050 remove appTerm 34 ref appTerm 6054 def nil cons cons 23 ref 30 ref 5505 remove appTerm 34 ref appTerm nil cons cons nil cons cons cons nil cons cons 5177 ref subst 3487 ref 4803 ref 5516 remove appThm 3282 ref appThm appThm 38 ref 6054 remove appTerm 6037 remove appTerm 6055 def refl appThm trans appThm nil 879 ref 6055 remove nil cons cons 7 ref 6052 ref nil cons cons 5279 remove cons cons nil cons cons 879 ref 63 ref 887 remove 3557 remove appTerm appTerm 959 ref appTerm absTerm 6056 def 883 ref appTerm 6057 def betaConv 7 ref 22 ref 6056 ref appTerm 6058 def absTerm 6059 def 34 ref appTerm 6060 def betaConv 23 ref 22 ref 6059 ref appTerm 6061 def absTerm 6062 def 31 ref appTerm 6063 def betaConv nil 22 ref 6062 ref appTerm 6064 def axiom nil 59 ref 6064 remove nil cons cons 60 ref 6063 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6062 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6061 remove nil cons cons 60 ref 6060 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6059 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6058 remove nil cons cons 60 ref 6057 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6056 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 6065 def subst trans sym 26 ref 6052 remove appTerm refl 3487 ref nil 4268 ref 7 ref 6049 remove cons 5254 ref cons cons nil cons cons 5662 ref nil 59 ref 5652 remove nil cons cons 60 ref 55 ref 5651 ref appTerm 4270 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 136 ref 4270 remove nil cons cons 5126 ref 5651 remove nil cons cons nil cons cons nil cons cons 190 ref 147 ref 64 ref 620 ref appTerm 623 ref appTerm 6066 def absTerm 6067 def 148 ref appTerm 6068 def betaConv 618 ref 142 ref 6067 ref appTerm 6069 def absTerm 6070 def 619 ref appTerm 6071 def betaConv nil 142 ref 147 ref 142 ref 618 ref 6066 ref absTerm 6072 def appTerm 6073 def absTerm 6074 def appTerm 6075 def axiom nil 59 ref 6075 remove nil cons 6076 def cons 6077 def 60 ref 142 ref 6070 ref appTerm nil cons 6078 def cons nil cons cons nil cons cons 6079 def 132 ref subst proveHyp 6079 ref 81 ref subst 6079 remove 152 ref subst nil 143 ref 6070 remove nil cons cons 6080 def nil cons nil cons cons 260 ref subst 618 ref nil 94 ref 6069 remove nil cons 6081 def cons nil cons nil cons cons 101 ref subst nil 143 ref 6067 remove nil cons cons 6082 def nil cons nil cons cons 260 ref subst 147 ref nil 94 ref 6066 remove nil cons cons nil cons nil cons cons 101 ref subst 6072 ref 619 ref appTerm 6083 def betaConv 6074 ref 148 ref appTerm 6084 def betaConv nil 6077 remove 60 ref 6084 remove nil cons cons nil cons cons nil cons cons 132 ref subst 272 ref 143 ref 6074 remove nil cons cons 275 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6073 remove nil cons cons 60 ref 6083 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 6072 remove nil cons cons 630 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 107 ref 6076 remove cons 109 ref 6078 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 6078 remove cons 60 ref 6071 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 6080 remove 630 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6081 remove cons 60 ref 6068 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 6082 remove 275 ref cons nil cons cons 163 ref subst eqMp eqMp subst subst eqMp 6085 def subst appThm 6051 remove appThm nil 879 ref 6023 remove nil cons cons 7 ref 6018 remove nil cons cons 5254 ref cons cons nil cons cons 879 ref 55 ref 3187 remove appTerm 3183 remove appTerm 6086 def absTerm 6087 def 883 ref appTerm 6088 def betaConv 7 ref 22 ref 6087 ref appTerm 6089 def absTerm 6090 def 34 ref appTerm 6091 def betaConv 23 ref 22 ref 6090 ref appTerm 6092 def absTerm 6093 def 31 ref appTerm 6094 def betaConv 49 ref 23 ref 49 ref 7 ref 49 ref 879 ref 6086 remove assume sym 3188 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 3198 remove eqMp nil 59 ref 22 ref 6093 ref appTerm nil cons cons 60 ref 6094 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6093 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6092 remove nil cons cons 60 ref 6091 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6090 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6089 remove nil cons cons 60 ref 6088 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6087 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 6095 def subst trans appThm nil 879 ref 6028 remove nil cons cons 3335 remove 5254 ref cons 6096 def cons nil cons cons 5820 ref subst 1337 ref 55 ref 36 ref appTerm 8 ref appTerm 6097 def appTerm refl 6098 def nil 94 ref 6029 remove nil cons cons nil cons nil cons cons 101 ref subst 6030 ref 34 ref appTerm 6099 def betaConv nil 6032 remove 60 ref 6099 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 6030 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm nil 94 ref 6097 remove nil cons cons nil cons nil cons cons 1887 ref subst 6100 def trans trans trans sym 100 ref eqMp eqMp eqMp eqMp eqMp 134 ref 135 ref 6046 ref nil cons cons 136 ref 6047 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 6046 remove appTerm nil cons cons 60 ref 6045 remove 6038 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 6038 remove nil cons cons 23 ref 6044 remove nil cons cons nil cons cons nil cons cons 5363 ref subst eqMp eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 6036 remove nil cons cons 136 ref 6053 remove cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 5947 ref nil cons cons 6101 def 136 ref 6034 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 6031 remove cons 109 ref 5949 ref cons nil cons 6102 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 6026 remove cons 6102 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 6020 ref 1065 ref appTerm appTerm 5948 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 6021 remove appTerm 5948 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6020 remove nil cons cons 6102 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 6016 remove cons 6102 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 6010 ref 1065 ref appTerm appTerm 5948 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 6011 remove appTerm 5948 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6010 remove nil cons cons 6102 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 5401 ref 6102 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 5403 ref 6102 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3278 ref 5948 ref appTerm absTerm appTerm nil cons cons 60 ref 3279 ref 5948 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3280 ref 6102 remove cons nil cons cons 1090 ref subst eqMp eqMp 6103 def nil 59 ref 5949 ref cons 60 ref 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 4652 ref appTerm 6104 def 5934 ref appTerm 6105 def appTerm 36 ref appTerm absTerm appTerm absTerm appTerm 6106 def nil cons 6107 def cons nil cons 6108 def cons nil cons cons 132 ref subst proveHyp nil 135 ref "A1" 3 ref var 6109 def 64 ref 5947 ref 6109 ref varTerm 6110 def appTerm 6111 def appTerm 6106 ref appTerm 6112 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6109 ref nil 94 ref 6112 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6111 ref nil cons 6113 def cons 6108 ref cons nil cons cons 6114 def 81 ref subst 6114 remove 152 ref subst 6111 ref betaConv 6111 remove assume eqMp nil 59 ref 20 ref 21 ref 22 ref 7 ref 5941 ref 38 ref 30 ref 6110 ref appTerm 6115 def 34 ref appTerm 6116 def appTerm 6117 def 36 ref appTerm 6118 def appTerm absTerm appTerm absTerm 6119 def appTerm 6120 def nil cons cons 6108 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 837 ref 64 ref 6119 ref 838 ref appTerm 6121 def appTerm 6106 ref appTerm 6122 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 6122 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6121 ref nil cons 6123 def cons 6108 ref cons nil cons cons 6124 def 81 ref subst 6124 remove 152 ref subst 6121 ref betaConv 6121 remove assume eqMp nil 59 ref 22 ref 7 ref 5941 remove 6117 ref 838 ref appTerm 6125 def appTerm 6126 def absTerm 6127 def appTerm nil cons 6128 def cons 6129 def 6108 ref cons nil cons cons 6130 def 132 ref subst proveHyp 6130 ref 81 ref subst 6130 remove 152 ref subst 3000 ref 20 ref 5935 ref 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 35 ref 787 ref 3289 ref appTerm appTerm appTerm 6042 remove 3289 ref appTerm appTerm appTerm 5946 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6131 def 233 ref appTerm 6132 def betaConv 219 ref 705 ref 307 ref 5948 ref absTerm 6133 def appTerm 6134 def absTerm 6135 def 320 ref appTerm 6136 def betaConv nil 243 ref 6135 ref nil cons cons 6137 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 6134 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 6133 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 5949 remove cons nil cons nil cons cons 101 ref subst 6103 remove eqMp absThm eqMp eqMp absThm eqMp 6138 def nil 59 ref 705 ref 6135 ref appTerm nil cons cons 6139 def 60 ref 6136 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 6137 ref 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 6131 ref appTerm nil cons cons 60 ref 6132 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 6131 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 20 ref 5935 ref 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 35 ref 5934 ref appTerm 6140 def appTerm 6141 def 6043 remove appTerm appTerm 6142 def 5946 ref appTerm absTerm appTerm absTerm appTerm absTerm 6143 def appTerm 6144 def nil cons cons 6108 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref "A2" 3 ref var 6145 def 64 ref 6143 ref 6145 ref varTerm 6146 def appTerm 6147 def appTerm 6106 ref appTerm 6148 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6145 ref nil 94 ref 6148 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6147 ref nil cons 6149 def cons 6108 ref cons nil cons cons 6150 def 81 ref subst 6150 remove 152 ref subst 6147 ref betaConv 6147 remove assume eqMp nil 59 ref 20 ref 21 ref 22 ref 7 ref 6142 ref 38 ref 30 ref 6146 ref appTerm 6151 def 34 ref appTerm 6152 def appTerm 6153 def 36 ref appTerm appTerm absTerm appTerm absTerm 6154 def appTerm 6155 def nil cons cons 6108 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 849 ref 64 ref 6154 ref 850 ref appTerm 6156 def appTerm 6106 ref appTerm 6157 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 6157 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6156 ref nil cons 6158 def cons 6108 ref cons nil cons cons 6159 def 81 ref subst 6159 remove 152 ref subst 6156 ref betaConv 6156 remove assume eqMp nil 59 ref 22 ref 7 ref 6142 remove 6153 remove 850 ref appTerm 6160 def appTerm absTerm 6161 def appTerm nil cons 6162 def cons 6163 def 6108 remove cons nil cons cons 6164 def 132 ref subst proveHyp 6164 ref 81 ref subst 6164 remove 152 ref subst 111 ref 48 ref 21 ref 49 ref 7 ref 50 ref 7 ref 6105 remove absTerm 6165 def 34 ref appTerm betaConv 6166 def appThm 739 ref appThm absThm appThm absThm appThm appThm 48 ref 5689 ref 48 ref 21 ref 49 ref 7 ref 50 ref 165 ref 6166 remove appThm appThm 38 ref 5761 ref 34 ref appTerm 6167 def appTerm 6168 def 36 ref appTerm 6169 def refl 6170 def appThm absThm appThm absThm appThm absThm appThm appThm nil "p" 5 ref var 6171 def 6165 remove nil cons cons nil cons nil cons cons 6171 ref 63 ref 20 ref 4664 ref 22 ref 7 ref 26 ref 6171 ref varTerm 6172 def 34 ref appTerm 6173 def appTerm 4665 ref appTerm absTerm appTerm absTerm appTerm appTerm 20 ref 5689 ref 20 ref 4664 ref 22 ref 7 ref 26 ref 35 ref 6173 remove appTerm appTerm 6168 remove 4665 ref appTerm 6174 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 6175 def 6172 ref appTerm 6176 def betaConv nil 3105 ref 6175 ref appTerm 6177 def axiom nil 59 ref 6177 remove nil cons cons 60 ref 6176 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3108 ref 3107 ref 6175 remove nil cons cons 6 ref 6172 ref nil cons cons nil cons 6178 def cons nil cons cons 163 ref subst eqMp eqMp 6179 def subst eqMp sym 48 ref 5689 ref 48 ref 21 ref 49 ref 7 ref 50 ref nil 879 ref 5934 remove nil cons cons 7 ref 4652 ref nil cons cons 167 ref cons cons nil cons cons 4795 ref subst appThm 6170 ref appThm absThm appThm absThm appThm absThm appThm sym 5689 ref 20 ref 21 ref 22 ref 7 ref 26 ref 5937 ref 6140 ref appTerm appTerm 6180 def 6169 ref appTerm absTerm appTerm absTerm appTerm absTerm 6181 def 38 ref 6110 ref appTerm 6146 ref appTerm 6182 def appTerm betaConv sym 21 ref 22 ref 7 ref 6180 ref 38 ref 30 ref 6182 ref appTerm 6183 def 34 ref appTerm 6184 def appTerm 6185 def 36 ref appTerm 6186 def appTerm absTerm appTerm absTerm 6187 def 861 ref appTerm betaConv sym nil 135 ref 7 ref 6180 ref 6185 remove 861 ref appTerm 6188 def appTerm 6189 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 6189 remove nil cons cons nil cons nil cons cons 101 ref subst 6180 ref refl 6190 def 3487 ref nil 4268 ref 7 ref 6146 ref nil cons 6191 def cons 6192 def 23 ref 6110 ref nil cons cons nil cons 6193 def cons 6194 def cons nil cons cons 3225 ref subst 6195 def appThm 861 ref refl appThm 6196 def appThm sym 6190 remove nil 5547 ref 877 ref cons 5609 ref 880 ref cons 4664 ref 6152 ref nil cons 6197 def cons 5689 ref 6116 remove nil cons 6198 def cons nil cons cons cons cons nil cons cons 4802 ref nil 879 ref 38 ref 5610 ref appTerm 6199 def 5548 ref appTerm 6200 def nil cons cons 5842 ref 23 ref 5921 ref cons nil cons 6201 def cons 6202 def cons nil cons cons 5177 ref subst appThm nil 879 ref 38 ref 4665 ref appTerm 6203 def 5548 ref appTerm nil cons cons 7 ref 5815 ref cons 6204 def 6201 ref cons 6205 def cons nil cons cons 5177 ref subst 38 ref 5760 ref appTerm 6206 def refl 6207 def nil 5682 ref 5843 ref cons nil cons cons 6208 def 5179 ref subst appThm trans appThm nil 136 ref 6206 ref 6203 ref 6200 remove appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans sym 100 ref eqMp subst 6209 def appThm sym 864 ref 26 ref 38 ref 5937 remove 865 ref appTerm appTerm 866 ref 6140 ref appTerm appTerm appTerm 38 ref 6125 ref appTerm 6160 ref appTerm 6210 def appTerm absTerm 6211 def 5939 ref appTerm betaConv sym 652 ref nil 94 ref 6126 ref nil cons cons nil cons nil cons cons 101 ref subst 6127 ref 34 ref appTerm 6212 def betaConv nil 6129 remove 60 ref 6212 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 6127 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm 26 ref 29 ref 5939 ref appTerm 6140 ref appTerm 6213 def appTerm 6160 ref appTerm 6214 def refl appThm nil 94 ref 6214 ref nil cons cons nil cons nil cons cons 874 ref subst trans sym 50 ref nil 7 ref 6140 remove nil cons 6215 def cons 23 ref 5939 remove nil cons 6216 def cons nil cons cons nil cons cons 805 ref subst appThm 6160 ref refl 6217 def appThm sym 50 ref 6141 remove refl 6041 remove appThm appThm 6217 ref appThm sym 6161 ref 34 ref appTerm 6218 def betaConv nil 6163 remove 60 ref 6218 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 6161 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp nil 59 ref 70 ref 6126 remove appTerm 6214 remove appTerm nil cons cons 60 ref 26 ref 38 ref 5940 ref appTerm 6213 ref appTerm appTerm 6210 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 6160 ref nil cons cons 6219 def 879 ref 6125 ref nil cons cons 6220 def 7 ref 6213 remove nil cons cons 23 ref 5940 remove nil cons cons nil cons cons cons cons nil cons cons 905 ref subst eqMp eqMp 134 ref 135 ref 6211 ref nil cons cons 136 ref 6216 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 6211 remove appTerm nil cons cons 60 ref 6180 remove 6210 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 906 ref 6210 ref nil cons cons 879 ref 6215 remove cons 23 ref 5936 remove nil cons cons nil cons cons cons nil cons cons 1092 remove subst eqMp eqMp eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 6187 remove nil cons cons 1093 ref cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 6181 remove nil cons cons 136 ref 6182 ref nil cons cons nil cons 6221 def cons nil cons cons 279 ref subst proveHyp eqMp eqMp eqMp nil 107 ref 6162 remove cons 109 ref 6107 remove cons nil cons 6222 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 6158 remove cons 6222 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 6154 ref 1065 ref appTerm appTerm 6106 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 6155 remove appTerm 6106 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6154 remove nil cons cons 6222 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 6149 remove cons 6222 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 6143 ref 1065 ref appTerm appTerm 6106 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 6144 remove appTerm 6106 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6143 remove nil cons cons 6222 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 6128 remove cons 6222 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 6123 remove cons 6222 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 6119 ref 1065 ref appTerm appTerm 6106 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 6120 remove appTerm 6106 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6119 remove nil cons cons 6222 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 6113 remove cons 6222 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5947 remove 1065 ref appTerm appTerm 6106 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5948 remove appTerm 6106 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 6101 remove 6222 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp 6223 def subst appThm nil 94 ref 4649 remove nil cons 6224 def cons nil cons nil cons cons 1385 ref subst trans sym 3000 ref 4645 remove 4646 ref 4648 ref appTerm appTerm absTerm 6225 def 4589 ref appTerm betaConv sym 652 ref 6223 ref appThm 232 ref 4589 remove appTerm 4648 ref appTerm 6226 def refl appThm nil 94 ref 6226 remove nil cons 6227 def cons nil cons nil cons cons 874 ref subst trans sym nil 59 ref 4636 ref cons 6228 def 60 ref 6227 remove cons nil cons cons nil cons cons 132 ref subst nil 3000 ref 3058 remove cons 784 remove cons nil cons cons 651 ref 3064 ref appThm nil 307 ref 4445 ref 3001 ref appTerm nil cons cons 4591 ref cons nil cons cons 731 ref subst 48 ref 21 ref 49 ref 7 ref 50 ref 5933 remove nil 3063 remove nil cons nil cons cons 5931 ref subst 3282 ref appThm 7 ref 732 ref 3289 ref appTerm 6229 def absTerm 34 ref appTerm betaConv trans appThm appThm 739 ref appThm absThm appThm absThm appThm trans appThm sym nil 135 ref 837 ref 64 ref 3297 remove 838 ref appTerm 6230 def appTerm 20 ref 21 ref 22 ref 7 ref 26 ref 6104 remove 6229 remove appTerm 6231 def appTerm 6232 def 36 ref appTerm absTerm appTerm absTerm 6233 def appTerm 6234 def appTerm 6235 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 6235 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6230 ref nil cons 6236 def cons 60 ref 6234 ref nil cons 6237 def cons nil cons 6238 def cons nil cons cons 6239 def 81 ref subst 6239 remove 152 ref subst 6230 ref betaConv 6230 remove assume eqMp nil 59 ref 22 ref 7 ref 3296 remove 838 ref appTerm 6240 def absTerm 6241 def appTerm nil cons 6242 def cons 6243 def 6238 ref cons nil cons cons 6244 def 132 ref subst proveHyp 6244 ref 81 ref subst 6244 remove 152 ref subst 5607 remove nil 5608 remove 6238 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 849 ref 64 ref 5531 remove 850 ref appTerm 6245 def appTerm 6234 ref appTerm 6246 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 6246 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6245 ref nil cons 6247 def cons 6238 ref cons nil cons cons 6248 def 81 ref subst 6248 remove 152 ref subst 6245 ref betaConv 6245 remove assume eqMp nil 59 ref 22 ref 23 ref 22 ref 7 ref 5526 remove 3166 ref 797 ref appTerm appTerm 6249 def absTerm 6250 def appTerm 6251 def absTerm 6252 def appTerm nil cons 6253 def cons 6254 def 6238 remove cons nil cons cons 6255 def 132 ref subst proveHyp 6255 ref 81 ref subst 6255 remove 152 ref subst 6233 ref 3166 ref 838 ref appTerm 6256 def appTerm betaConv sym nil 135 ref 7 ref 6232 ref 6256 ref appTerm 6257 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 6257 remove nil cons 6258 def cons nil cons nil cons cons 101 ref subst 864 ref 70 ref 6232 remove 865 ref appTerm appTerm 4717 ref 6256 ref appTerm appTerm absTerm 6259 def 3166 ref 3295 remove appTerm 6260 def appTerm betaConv sym 652 ref nil 7 ref 3333 ref cons 794 ref cons 6261 def nil cons cons nil 94 ref 6249 remove nil cons cons nil cons nil cons cons 101 ref subst 6250 ref 34 ref appTerm 6262 def betaConv 6252 ref 31 ref appTerm 6263 def betaConv nil 6254 remove 60 ref 6263 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 6252 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6251 remove nil cons cons 60 ref 6262 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 6250 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp subst appThm nil 881 ref 3332 remove 23 ref 877 ref cons 6264 def nil cons 6265 def cons cons nil cons cons 5820 ref subst 1337 ref 55 ref 850 ref appTerm 8 ref appTerm 6266 def appTerm refl nil 94 ref 6240 remove nil cons cons nil cons nil cons cons 101 ref subst 6241 ref 34 ref appTerm 6267 def betaConv nil 6243 remove 60 ref 6267 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 6241 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm nil 94 ref 6266 remove nil cons cons nil cons nil cons cons 1887 ref subst trans trans appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 6259 ref nil cons cons 136 ref 6260 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 6259 remove appTerm nil cons cons 60 ref 6258 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 6256 remove nil cons 6268 def cons 23 ref 6231 remove nil cons cons nil cons cons nil cons cons 5363 ref subst eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 6233 remove nil cons cons 136 ref 6268 remove cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 6253 remove cons 109 ref 6237 remove cons nil cons 6269 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 6247 remove cons 6269 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 5929 remove 6234 ref appTerm absTerm appTerm nil cons cons 60 ref 5930 remove 6234 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 5605 remove 6269 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 6242 remove cons 6269 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 6236 remove cons 6269 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3338 remove 6234 ref appTerm absTerm appTerm nil cons cons 60 ref 3339 remove 6234 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3340 remove 6269 remove cons nil cons cons 1090 ref subst eqMp eqMp 6270 def subst eqMp eqMp eqMp 242 ref 243 ref 6225 ref nil cons cons 219 ref 4590 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 6225 remove appTerm nil cons cons 60 ref 6224 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 4648 remove nil cons 6271 def cons 4591 ref cons nil cons cons 756 ref 64 ref 218 ref 307 ref 760 ref absTerm 6272 def appTerm 6273 def appTerm 6274 def 761 ref appTerm 6275 def absTerm 6276 def 758 ref appTerm 6277 def betaConv 219 ref 705 ref 6276 ref appTerm 6278 def absTerm 6279 def 233 ref appTerm 6280 def betaConv 1096 ref nil 1098 ref 60 ref 705 ref 6279 ref appTerm nil cons 6281 def cons nil cons cons nil cons cons 6282 def 132 ref subst proveHyp 6282 ref 81 ref subst 6282 remove 152 ref subst nil 243 ref 6279 remove nil cons cons 6283 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 6278 remove nil cons 6284 def cons nil cons nil cons cons 101 ref subst nil 243 ref 6276 remove nil cons cons 6285 def nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 6275 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6273 remove nil cons 6286 def cons 6287 def 60 ref 761 ref nil cons 6288 def cons nil cons 6289 def cons nil cons cons 6290 def 81 ref subst 6290 remove 152 ref subst nil 1098 ref 6289 ref cons nil cons cons 6291 def 132 ref subst nil 6287 remove 60 ref 64 ref 768 ref appTerm 6292 def 761 ref appTerm 6293 def nil cons 6294 def cons nil cons 6295 def cons nil cons cons 132 ref subst nil 243 ref 307 ref 64 ref 6272 ref 320 ref appTerm 6296 def appTerm 6293 ref appTerm 6297 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 6297 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6296 ref nil cons 6298 def cons 6295 ref cons nil cons cons 6299 def 81 ref subst 6299 remove 152 ref subst 6296 ref betaConv 6296 remove assume eqMp nil 59 ref 760 remove nil cons 6300 def cons 6301 def 6295 remove cons nil cons cons 6302 def 132 ref subst proveHyp 6302 ref 81 ref subst 6302 remove 152 ref subst 6291 ref 81 ref subst 6291 remove 152 ref subst nil 6301 remove 6289 remove cons nil cons cons 6303 def 132 ref subst 763 remove 758 ref appTerm 6304 def betaConv 765 remove 320 ref appTerm 6305 def betaConv 767 remove 233 ref appTerm 6306 def betaConv nil 1098 ref 60 ref 6306 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 810 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 811 remove cons 60 ref 6305 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 812 remove 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 813 remove cons 60 ref 6304 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 814 remove 219 ref 815 ref cons nil cons 6307 def cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 1097 ref cons 6308 def 109 ref 6288 remove cons nil cons 6309 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 6300 remove cons 109 ref 6294 remove cons nil cons 6310 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 6298 remove cons 6310 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 ref 64 ref 6272 ref 237 ref appTerm appTerm 6293 ref appTerm absTerm appTerm nil cons cons 60 ref 6274 remove 6293 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 6272 remove nil cons cons 6310 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 6286 remove cons 6309 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 6308 ref 109 ref 6281 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 6281 remove cons 60 ref 6280 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 6283 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6284 remove cons 60 ref 6277 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 6285 remove 6307 ref cons nil cons cons 163 ref subst eqMp eqMp 6311 def subst eqMp eqMp eqMp 242 ref 243 ref 4647 ref nil cons cons 219 ref 6271 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 4647 remove appTerm nil cons cons 60 ref 4447 remove 4644 ref appTerm nil cons 6312 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 4644 ref nil cons 6313 def cons 4591 ref cons nil cons cons 6311 ref subst eqMp nil 59 ref 6312 remove cons 60 ref 232 ref 4644 remove appTerm 4599 ref appTerm nil cons cons nil cons 6314 def cons nil cons cons 152 ref subst proveHyp nil 59 ref 4637 ref cons 6314 remove cons nil cons cons 132 ref subst nil 3285 ref nil cons cons 6270 remove subst eqMp eqMp eqMp 242 ref 243 ref 4643 ref nil cons cons 219 ref 6313 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 4643 remove appTerm nil cons cons 4634 remove cons nil cons cons 132 ref subst proveHyp nil 756 ref 4599 ref nil cons 6315 def cons 4591 ref cons nil cons cons 6311 ref subst eqMp proveHyp proveHyp eqMp nil 107 ref 3051 remove cons 6316 def 109 ref 4633 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp 6317 def eqMp nil 59 ref 4633 remove cons 60 ref 4630 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 4631 remove 123 ref subst eqMp nil 59 ref 70 ref 4632 ref appTerm 4600 remove appTerm nil cons cons 4615 remove cons nil cons cons 132 ref subst proveHyp nil 3342 ref 307 ref 6315 remove cons 4591 ref cons cons nil cons cons 1095 ref subst eqMp eqMp nil 107 ref 4627 remove cons 6318 def 109 ref 4614 ref cons nil cons 6319 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 4624 remove cons 6319 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 3345 ref 64 ref 4606 ref 3346 ref appTerm appTerm 4448 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 4607 remove appTerm 4448 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 4606 remove nil cons cons 6320 def 6319 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 4619 remove cons 6319 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 4618 remove appTerm nil cons cons 60 ref 64 ref 4609 ref appTerm 4448 ref appTerm nil cons 6321 def cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 4608 remove nil cons cons 6322 def 6319 remove cons nil cons cons 1090 ref subst eqMp nil 59 ref 6321 remove cons 60 ref 64 ref 4448 remove appTerm 4609 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 4614 ref cons 6323 def 60 ref 4613 ref cons nil cons 6324 def cons nil cons cons 6325 def 81 ref subst 6325 remove 152 ref subst nil 6323 remove 3356 ref cons nil cons cons 152 ref subst 3360 ref eqMp nil 59 ref 4449 remove 3355 ref appTerm nil cons cons 6324 ref cons nil cons cons 132 ref subst proveHyp 3363 ref nil 4628 remove 6324 remove cons nil cons cons 6326 def 81 ref subst 6326 remove 152 ref subst 4621 remove sym 4626 remove sym 4605 remove assume eqMp 242 ref 6320 remove 3365 ref cons nil cons cons 279 ref subst proveHyp eqMp 242 ref 6322 remove 3285 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 6318 remove 109 ref 4613 remove cons nil cons 6327 def cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 107 ref 4614 remove cons 6327 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm appThm trans eqMp eqMp 6328 def appThm 785 ref 6328 ref subst appThm trans absThm appThm 111 ref 706 ref 307 ref "_16817" 285 ref var 6329 def 365 ref 4594 ref 6329 remove varTerm 6330 def appTerm appTerm 4453 ref 6330 remove appTerm 714 ref appTerm appTerm absTerm 6331 def 717 ref appTerm betaConv absThm appThm appThm 417 ref 303 ref 6331 ref 331 ref appTerm betaConv absThm appThm appThm nil 659 ref 6331 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref "_16819" 285 ref var 6332 def 416 ref 303 ref 365 ref 4453 ref 6332 remove varTerm 6333 def appTerm 331 ref appTerm appTerm 4581 ref 6333 remove appTerm appTerm absTerm appTerm absTerm 6334 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 4587 remove absThm appThm appThm nil 659 ref 6334 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 705 ref 307 ref 4650 remove absTerm 6335 def appTerm 6336 def absTerm 6337 def nil cons cons 6338 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 6336 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 6335 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref 6223 ref absThm eqMp eqMp absThm eqMp 6339 def eqMp nil 59 ref 416 ref 4585 ref appTerm nil cons cons 60 ref 4586 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 4585 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4584 remove nil cons cons 60 ref 4583 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 4582 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp 6340 def subst appThm appThm trans appThm 611 ref 4566 ref subst 3820 ref 684 ref 3821 remove 6340 ref subst appThm 3823 remove 6340 ref subst appThm appThm 338 ref 4453 ref 601 ref appTerm 6341 def 421 ref appTerm 6342 def appTerm refl 4403 remove 6340 ref subst appThm nil 303 ref 4575 remove nil cons 6343 def cons 302 ref 6342 ref nil cons cons nil cons cons nil cons cons 3416 ref subst trans appThm trans appThm nil 293 ref 4574 remove 4576 ref 6342 remove appTerm appTerm nil cons cons nil cons nil cons cons 4167 ref subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp nil 59 ref 291 ref 4529 remove appTerm nil cons cons 60 ref 4530 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 4532 remove cons 388 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4528 remove nil cons cons 60 ref 4527 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 4526 remove nil cons cons 3650 ref cons nil cons cons 163 ref subst eqMp eqMp 6344 def subst appThm 3850 remove 6344 ref subst appThm sym 3854 ref nil 3855 ref 60 ref 373 ref 4463 ref 3659 ref appTerm 3657 ref appTerm appTerm 4463 ref 3762 ref appTerm 3657 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3857 remove 294 ref 3858 remove 373 ref 4470 remove 352 ref appTerm appTerm 4518 remove 352 ref appTerm 6345 def appTerm appTerm absTerm 6346 def 352 ref appTerm 6347 def betaConv 3756 ref 291 ref 6346 ref appTerm 6348 def absTerm 6349 def 3760 ref appTerm 6350 def betaConv 3654 ref 291 ref 6349 ref appTerm 6351 def absTerm 6352 def 3657 ref appTerm 6353 def betaConv 6354 def 111 ref 292 ref 3654 ref 6354 remove absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 6352 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6352 ref nil cons 6355 def cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 3756 ref 3756 remove 291 ref 294 ref 3870 remove 373 ref 4534 ref appTerm 6356 def 6345 remove appTerm appTerm absTerm appTerm absTerm 6357 def 3760 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 6357 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6357 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 111 ref 292 ref 294 ref 294 ref 3873 ref 6356 remove 4463 ref 603 ref appTerm 6358 def 352 ref appTerm appTerm appTerm absTerm 6359 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 646 ref 417 ref 647 ref 6359 ref 650 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6359 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 646 ref 417 ref 647 ref 3876 remove 3773 ref 658 ref 4566 ref subst 6360 def appThm 657 ref 4566 ref subst 6361 def appThm nil 453 ref 338 ref 6341 ref 649 ref appTerm 6362 def appTerm 4453 ref 602 ref appTerm 6363 def 648 ref appTerm 6364 def appTerm 6365 def nil cons cons 6366 def 456 ref 338 ref 6341 remove 648 ref appTerm 6367 def appTerm 6363 remove 649 ref appTerm 6368 def appTerm 6369 def nil cons cons 6370 def 459 ref 338 ref 4568 ref 649 ref appTerm 6371 def appTerm 6372 def 4571 ref 648 ref appTerm 6373 def appTerm 6374 def nil cons 6375 def cons 460 ref 338 ref 4568 ref 648 ref appTerm 6376 def appTerm 6377 def 4571 ref 649 ref appTerm 6378 def appTerm 6379 def nil cons 6380 def cons nil cons cons cons cons nil cons cons 542 ref subst trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm trans absThm appThm absThm appThm trans sym nil 659 ref 418 ref 416 ref 419 ref 416 ref 599 ref 416 ref 600 ref 416 ref 646 ref 416 ref 647 ref 3888 ref 365 ref 338 ref 6379 remove appTerm 6365 remove appTerm appTerm 338 ref 6369 remove appTerm 6374 remove appTerm appTerm appTerm 6381 def absTerm 6382 def appTerm 6383 def absTerm 6384 def appTerm 6385 def absTerm 6386 def appTerm 6387 def absTerm 6388 def appTerm 6389 def absTerm 6390 def appTerm 6391 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 418 ref nil 94 ref 6391 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 6390 remove nil cons cons nil cons nil cons cons 679 ref subst 419 ref nil 94 ref 6389 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 6388 remove nil cons cons nil cons nil cons cons 679 ref subst 599 ref nil 94 ref 6387 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 6386 remove nil cons cons nil cons nil cons cons 679 ref subst 600 ref nil 94 ref 6385 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 6384 remove nil cons cons nil cons nil cons cons 679 ref subst 646 ref nil 94 ref 6383 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 6382 remove nil cons cons nil cons nil cons cons 679 ref subst 647 ref nil 94 ref 6381 remove nil cons cons nil cons nil cons cons 101 ref subst 3889 ref 690 ref nil "d" 285 ref var 6392 def 6364 ref nil cons 6393 def cons "c" 285 ref var 6394 def 6362 ref nil cons 6395 def cons 419 ref 6378 ref nil cons 6396 def cons 418 ref 6376 remove nil cons 6397 def cons nil cons cons cons cons nil cons cons 690 ref nil 3500 ref 338 ref 6394 ref varTerm 6398 def appTerm 6399 def 6392 ref varTerm 6400 def appTerm 6401 def nil cons cons 3502 ref 454 ref cons 6402 def 3504 ref 457 ref cons nil cons 6403 def cons 6404 def cons nil cons cons 652 ref nil 3524 ref nil cons cons 6405 def nil 94 ref 698 remove nil cons cons nil cons nil cons cons 101 ref subst 3416 ref eqMp subst appThm 652 ref 365 ref 338 ref 3510 ref appTerm 3512 ref appTerm 6406 def appTerm 6407 def refl 3525 remove 3583 ref subst 6408 def appThm nil 302 ref 6406 remove nil cons cons nil cons nil cons cons 550 ref subst trans appThm 690 ref 6408 remove appThm nil 3520 remove 303 ref 3522 remove cons 6409 def 3606 ref cons cons nil cons cons 3583 remove subst appThm appThm nil 94 ref 6407 ref 338 ref 3592 ref 3507 ref appTerm 6410 def appTerm 3512 ref appTerm appTerm nil cons cons nil cons nil cons cons 874 ref subst 6411 def trans appThm 6411 remove trans sym 684 ref 6405 ref 3416 ref subst 6412 def appThm 3512 ref refl appThm eqMp nil 107 ref 3511 remove 6410 ref appTerm nil cons cons 109 ref 70 ref 6407 remove 3508 ref 3593 ref appTerm 6413 def appTerm 6414 def appTerm 365 ref 6413 remove appTerm 3592 ref 3513 ref appTerm appTerm 6415 def appTerm nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp 6416 def nil 107 ref 6414 remove nil cons cons 109 ref 6415 remove nil cons cons nil cons cons nil cons cons 6417 def 123 ref subst proveHyp 6418 def subst appThm nil 3500 ref 3501 ref 6398 ref appTerm nil cons cons 3502 ref 6400 ref nil cons 6419 def cons 6420 def 6403 ref cons 6421 def cons nil cons cons 6418 ref subst 543 ref refl 6422 def nil 3500 ref 6398 ref nil cons 6423 def cons 6424 def 6402 ref 3504 ref 6419 ref cons nil cons 6425 def cons cons nil cons cons 6416 remove 6417 remove 687 ref subst proveHyp 6426 def subst 3501 ref refl nil 3502 ref 6423 ref cons 6427 def 6425 remove cons nil cons cons 6412 ref subst appThm trans appThm trans appThm nil 302 ref 543 ref 3501 ref 6401 remove appTerm appTerm nil cons cons nil cons nil cons cons 550 ref subst trans sym 100 ref eqMp 6428 def subst appThm nil 6392 ref 6373 ref nil cons 6429 def cons 6394 ref 6371 remove nil cons 6430 def cons 419 ref 6368 ref nil cons 6431 def cons 418 ref 6367 ref nil cons 6432 def cons nil cons cons cons cons nil cons cons 6428 remove subst appThm appThm sym 3889 remove 690 ref 684 ref nil 3502 ref 604 ref cons 3907 ref 6403 ref cons cons nil cons cons 3500 ref 365 ref 338 ref 4453 ref 3507 ref appTerm 3512 ref appTerm appTerm 4453 ref 3509 ref appTerm 3512 ref appTerm 6433 def appTerm 6434 def appTerm 4453 ref 3510 ref appTerm 3512 ref appTerm 6435 def appTerm 6436 def absTerm 6437 def 3512 ref appTerm 6438 def betaConv 3502 ref 416 ref 6437 ref appTerm 6439 def absTerm 6440 def 3509 ref appTerm 6441 def betaConv 3504 ref 416 ref 6440 ref appTerm 6442 def absTerm 6443 def 3507 ref appTerm 6444 def betaConv 417 ref 3504 ref 417 ref 3502 ref 417 ref 3500 ref 6436 remove assume sym 365 ref 6435 remove appTerm 6434 remove appTerm 6445 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm 417 ref 3504 ref 417 ref 3502 ref 417 ref 3500 ref 690 ref nil 3603 remove 302 ref 3510 ref nil cons 6446 def cons nil cons cons nil cons cons 6340 ref subst appThm 684 ref 3604 remove 6340 ref subst appThm 3607 remove 6340 remove subst appThm appThm absThm appThm absThm appThm absThm appThm sym nil 659 ref 3504 ref 416 ref 3502 ref 416 ref 3500 ref 365 ref 4453 ref 3512 ref appTerm 6447 def 3510 ref appTerm appTerm 338 ref 6447 ref 3507 ref appTerm appTerm 6447 remove 3509 ref appTerm appTerm appTerm 6448 def absTerm 6449 def appTerm 6450 def absTerm 6451 def appTerm 6452 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 3504 ref nil 94 ref 6452 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 6451 remove nil cons cons nil cons nil cons cons 679 ref subst 3502 ref nil 94 ref 6450 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 6449 remove nil cons cons nil cons nil cons cons 679 ref subst 3500 ref nil 94 ref 6448 remove nil cons cons nil cons nil cons cons 101 ref subst nil 3420 ref 3521 ref cons 6409 remove 3611 ref cons cons nil cons cons 3420 ref 365 ref 4578 ref 3426 ref appTerm appTerm 338 ref 4579 ref appTerm 4578 ref 3424 ref appTerm appTerm appTerm absTerm 6453 def 3424 ref appTerm 6454 def betaConv 303 ref 416 ref 6453 ref appTerm 6455 def absTerm 6456 def 331 ref appTerm 6457 def betaConv 302 ref 416 ref 6456 ref appTerm 6458 def absTerm 6459 def 328 ref appTerm 6460 def betaConv 6461 def 706 ref 219 ref 706 ref 307 ref 706 ref 756 ref nil 307 ref 318 ref 4446 ref appTerm 6462 def 4445 ref 758 ref appTerm 6463 def appTerm 6464 def nil cons cons 219 ref 4445 ref 3439 ref appTerm 6465 def nil cons cons nil cons cons nil cons cons 6466 def 2989 ref subst 690 ref 3442 ref 6328 ref subst 4594 ref refl 6467 def 3443 remove appThm trans appThm nil 307 ref 6463 ref nil cons 6468 def cons 6469 def 4591 ref cons nil cons cons 6470 def 3367 ref subst 684 ref 6328 ref appThm 820 ref 6328 ref subst appThm trans appThm trans absThm appThm 111 ref 706 ref 756 ref "_16843" 285 ref var 6471 def 365 ref 4594 ref 3449 remove 6471 remove varTerm 6472 def appTerm appTerm appTerm 338 ref 4595 ref appTerm 4594 ref 6472 remove appTerm appTerm appTerm absTerm 6473 def 3446 ref appTerm betaConv absThm appThm appThm 417 ref 3420 ref 6473 ref 3424 ref appTerm betaConv absThm appThm appThm nil 659 ref 6473 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 307 ref "_16845" 285 ref var 6474 def 416 ref 3420 ref 365 ref 4594 ref 338 ref 6474 remove varTerm 6475 def appTerm 3424 ref appTerm appTerm appTerm 338 ref 4594 ref 6475 remove appTerm appTerm 4594 ref 3424 ref appTerm appTerm appTerm absTerm appTerm absTerm 6476 def 717 ref appTerm betaConv absThm appThm appThm 417 ref 303 ref 6476 ref 331 ref appTerm betaConv absThm appThm appThm nil 659 ref 6476 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref "_16847" 285 ref var 6477 def 416 ref 303 ref 416 ref 3420 ref 365 ref 4453 ref 6477 remove varTerm appTerm 6478 def 3426 remove appTerm appTerm 338 ref 6478 ref 331 ref appTerm appTerm 6478 remove 3424 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6479 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 6461 remove absThm appThm appThm nil 659 ref 6479 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 705 ref 307 ref 705 ref 756 ref 232 ref 6465 remove appTerm 6464 remove appTerm 6480 def absTerm 6481 def appTerm 6482 def absTerm 6483 def appTerm 6484 def absTerm 6485 def nil cons cons 6486 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 6484 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 6483 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 6482 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 6481 remove nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 6480 remove nil cons cons nil cons nil cons cons 101 ref subst 6466 remove 731 ref subst sym 48 ref 21 ref 49 ref 7 ref 50 ref 51 ref 3442 remove 5931 ref subst 7 ref 5367 ref 3466 ref appThm absThm trans 3282 ref appThm 7 ref 732 ref 3465 ref appTerm 6487 def absTerm 34 ref appTerm betaConv trans appThm 6470 remove 3281 ref subst 7 ref 3487 ref 5932 remove appThm 820 ref 5931 ref subst 3282 ref appThm 7 ref 732 ref 822 ref appTerm 6488 def absTerm 34 ref appTerm betaConv trans appThm absThm trans 3282 ref appThm 7 ref 38 ref 4652 remove appTerm 6488 remove appTerm 6489 def absTerm 34 ref appTerm betaConv trans appThm appThm 739 ref appThm absThm appThm absThm appThm sym 5404 remove nil 5405 remove 60 ref 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 6487 remove appTerm 6489 remove appTerm appTerm 36 ref appTerm absTerm appTerm absTerm 6490 def appTerm 6491 def nil cons 6492 def cons nil cons 6493 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 5417 remove 6491 ref appTerm 6494 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 6494 remove nil cons cons nil cons nil cons cons 101 ref subst nil 5420 remove 6493 ref cons nil cons cons 6495 def 81 ref subst 6495 remove 152 ref subst 5422 remove nil 5424 remove 6493 remove cons nil cons cons 6496 def 132 ref subst proveHyp 6496 ref 81 ref subst 6496 remove 152 ref subst 6490 ref 36 ref appTerm betaConv sym 49 ref 7 ref nil 7 ref 909 ref cons 794 ref cons nil cons cons 5443 remove subst absThm appThm 203 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 6490 remove nil cons cons 5523 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 5457 remove 109 ref 6492 remove cons nil cons 6497 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 5459 remove 6497 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 5460 remove 6491 ref appTerm absTerm appTerm nil cons cons 60 ref 5461 remove 6491 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 5400 remove 6497 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp eqMp 6498 def absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 6499 def eqMp nil 59 ref 416 ref 6459 ref appTerm nil cons cons 60 ref 6460 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6459 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6458 remove nil cons cons 60 ref 6457 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6456 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6455 remove nil cons cons 60 ref 6454 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6453 remove nil cons cons 3493 ref cons nil cons cons 163 ref subst eqMp eqMp 6500 def subst eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 6501 def eqMp nil 59 ref 416 ref 6443 ref appTerm nil cons cons 60 ref 6444 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6443 remove nil cons cons 3523 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6442 remove nil cons cons 60 ref 6441 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6440 remove nil cons cons 3606 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6439 remove nil cons cons 60 ref 6438 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6437 remove nil cons cons 3611 ref cons nil cons cons 163 ref subst eqMp eqMp 6502 def subst appThm nil 3502 ref 606 ref cons 6503 def 3895 ref 3504 ref 454 ref cons nil cons 6504 def cons cons nil cons cons 6502 ref subst appThm appThm 684 ref nil 6402 ref 3907 ref 3505 remove cons cons nil cons cons 6502 ref subst appThm nil 3502 ref 457 ref cons 6505 def 3895 ref 3504 ref 604 remove cons nil cons cons cons nil cons cons 6502 remove subst appThm appThm appThm sym nil 4398 ref 60 ref 365 ref 338 ref 4453 ref 612 ref appTerm 648 ref appTerm appTerm 4453 ref 3900 remove appTerm 649 ref appTerm 6506 def appTerm appTerm 338 ref 4453 ref 615 ref appTerm 6507 def 648 ref appTerm appTerm 6508 def 4453 ref 3899 remove appTerm 649 ref appTerm appTerm 6509 def appTerm nil cons 6510 def cons nil cons cons nil cons cons 6511 def 81 ref subst 6511 remove 152 ref subst 690 ref 684 ref 4453 ref refl 6512 def 4405 ref appThm 648 ref refl appThm appThm 6506 remove refl appThm appThm 6509 remove refl appThm sym 6508 remove refl 690 ref 6512 ref 4402 remove appThm 649 ref refl 6513 def appThm appThm 6512 ref 4404 remove appThm 6513 remove appThm appThm sym 63 ref "_16998" 285 ref var 6514 def 365 ref 6507 remove 649 ref appTerm 6515 def appTerm 6516 def 4453 ref 6514 remove varTerm appTerm 649 remove appTerm appTerm absTerm 6517 def 612 ref appTerm 6518 def appTerm refl 6517 ref 615 ref appTerm betaConv appThm 111 ref 6518 remove betaConv appThm 6516 remove 6515 ref appTerm refl appThm trans 6517 remove refl 4405 ref appThm eqMp sym 6515 remove refl eqMp eqMp appThm eqMp eqMp nil 685 ref 109 ref 6510 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 291 ref 6352 remove appTerm nil cons cons 60 ref 6353 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 6355 remove cons 3717 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6351 remove nil cons cons 60 ref 6350 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 6349 remove nil cons cons 3909 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6348 remove nil cons cons 60 ref 6347 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 6346 remove nil cons cons 3650 ref cons nil cons cons 163 ref subst eqMp eqMp 6519 def subst eqMp eqMp nil 59 ref 4472 remove 4524 ref appTerm nil cons cons 60 ref 373 ref 4524 ref appTerm 4519 ref appTerm nil cons cons nil cons 6520 def cons nil cons cons 152 ref subst proveHyp 3912 ref nil 3913 ref 6520 remove cons nil cons cons 132 ref subst proveHyp 3914 remove 6519 remove subst eqMp eqMp eqMp 385 ref 386 ref 4523 ref nil cons cons 293 ref 4524 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 378 ref 4523 remove appTerm nil cons cons 4521 remove cons nil cons cons 132 ref subst proveHyp nil 562 ref 4519 remove nil cons cons 293 ref 4471 remove nil cons cons nil cons 6521 def cons nil cons cons 3961 remove subst eqMp eqMp nil 3962 ref 109 ref 4520 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 4517 remove cons 60 ref 4514 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 4515 remove 123 ref subst eqMp nil 59 ref 70 ref 4516 remove appTerm 4484 remove appTerm nil cons cons 4500 remove cons nil cons cons 132 ref subst proveHyp nil 3963 ref 294 ref 4483 remove nil cons cons 6521 remove cons cons nil cons cons 3964 ref subst eqMp eqMp nil 107 ref 4511 remove cons 6522 def 109 ref 4499 ref cons nil cons 6523 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 4508 remove cons 6523 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 ref 293 ref 64 ref 4490 ref 354 ref appTerm appTerm 4474 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 4491 remove appTerm 4474 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 4490 remove nil cons cons 6524 def 6523 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 4503 remove cons 6523 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 ref 293 ref 64 ref 4492 ref 354 ref appTerm appTerm 4474 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 4493 ref appTerm 4474 ref appTerm nil cons 6525 def cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 4492 remove nil cons cons 6526 def 6523 remove cons nil cons cons 1090 ref subst eqMp nil 59 ref 6525 remove cons 60 ref 64 ref 4474 remove appTerm 4493 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 4499 ref cons 6527 def 60 ref 4498 ref cons nil cons 6528 def cons nil cons cons 6529 def 81 ref subst 6529 remove 152 ref subst nil 6527 remove 3976 ref cons nil cons cons 152 ref subst 3982 ref eqMp nil 59 ref 4475 remove 3975 ref appTerm nil cons cons 6528 ref cons nil cons cons 132 ref subst proveHyp 3984 ref nil 4512 remove 6528 remove cons nil cons cons 6530 def 81 ref subst 6530 remove 152 ref subst 4505 remove sym 4510 remove sym 4489 remove assume eqMp 385 ref 6524 remove 3986 ref cons nil cons cons 279 ref subst proveHyp eqMp 385 ref 6526 remove 3987 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 6522 remove 109 ref 4498 remove cons nil cons 6531 def cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 107 ref 4499 remove cons 6531 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm appThm trans eqMp eqMp 6532 def subst 6533 def appThm 3993 ref 6532 ref subst appThm trans absThm appThm 111 ref 292 ref 294 ref "_17076" 394 ref var 6534 def 398 ref 4479 ref 402 ref appTerm 6535 def 6534 remove varTerm 6536 def appTerm appTerm 4479 ref 6536 remove appTerm 402 ref appTerm appTerm absTerm 6537 def 405 ref appTerm betaConv absThm appThm appThm 3998 ref 3999 ref 6537 ref 4000 ref appTerm betaConv absThm appThm appThm nil 3622 ref 6537 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 293 ref "_17078" 394 ref var 6538 def 574 ref 3999 ref 398 ref 4479 ref 6538 remove varTerm 6539 def appTerm 4000 ref appTerm appTerm 4479 ref 4000 ref appTerm 6540 def 6539 remove appTerm appTerm absTerm appTerm absTerm 6541 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 6541 ref 3636 ref appTerm betaConv absThm appThm appThm nil 3622 ref 6541 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 292 ref 293 ref 292 ref 294 ref 6344 remove nil 59 ref 4525 remove nil cons cons 60 ref 63 ref 373 ref 4467 ref appTerm 4465 remove appTerm appTerm 86 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 4469 remove 4032 ref subst eqMp absThm appThm 4119 ref trans absThm appThm 4119 remove trans sym 100 ref eqMp eqMp nil 574 ref 3635 ref 574 ref 3999 ref 398 ref 4479 ref 3636 ref appTerm 6542 def 4000 ref appTerm 6543 def appTerm 6540 ref 3636 ref appTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 293 ref 292 ref 294 ref 292 ref 562 ref nil 294 ref 4463 ref 4467 ref appTerm 563 ref appTerm 6544 def nil cons cons 293 ref 4466 ref 4464 remove 563 ref appTerm 6545 def appTerm 6546 def nil cons cons nil cons cons nil cons cons 3651 ref subst 3626 ref nil 3652 ref 6545 ref nil cons cons 3655 ref cons nil cons cons 6532 ref subst 6535 ref refl 6547 def 4133 ref 6532 ref subst appThm trans appThm nil 4132 ref 3654 ref 4468 ref cons nil cons 6548 def cons nil cons cons 6532 ref subst 4479 ref refl 6549 def 6533 ref appThm 4138 remove appThm trans appThm trans absThm appThm 111 ref 292 ref 562 ref "_17086" 394 ref var 6550 def 398 ref 6535 ref 4479 ref 405 ref appTerm 6550 remove varTerm 6551 def appTerm appTerm appTerm 4479 ref 6535 ref 405 ref appTerm 6552 def appTerm 6551 remove appTerm appTerm absTerm 6553 def 4137 ref appTerm betaConv absThm appThm appThm 3998 ref 4144 ref 6553 ref 4145 ref appTerm betaConv absThm appThm appThm nil 3622 ref 6553 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 294 ref "_17088" 394 ref var 6554 def 574 ref 4144 ref 398 ref 6535 ref 4479 ref 6554 remove varTerm 6555 def appTerm 4145 ref appTerm appTerm appTerm 4479 ref 6535 ref 6555 remove appTerm appTerm 4145 ref appTerm appTerm absTerm appTerm absTerm 6556 def 405 ref appTerm betaConv absThm appThm appThm 3998 ref 3999 ref 6556 ref 4000 ref appTerm betaConv absThm appThm appThm nil 3622 ref 6556 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 293 ref "_17090" 394 ref var 6557 def 574 ref 3999 ref 574 ref 4144 ref 398 ref 4479 ref 6557 remove varTerm appTerm 6558 def 6540 remove 4145 ref appTerm 6559 def appTerm appTerm 4479 ref 6558 remove 4000 ref appTerm appTerm 4145 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6560 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 6560 ref 3636 ref appTerm betaConv absThm appThm appThm nil 3622 ref 6560 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 291 ref 294 ref 291 ref 562 ref 373 ref 6546 remove appTerm 6544 remove appTerm absTerm appTerm absTerm appTerm absTerm 6561 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 6561 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6561 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 291 ref 562 ref 373 ref 4533 ref 6545 remove appTerm appTerm 4463 ref 4534 ref appTerm 563 ref appTerm appTerm absTerm appTerm absTerm 6562 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 6562 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6562 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 111 ref 292 ref 562 ref 562 ref 373 ref 4533 ref 6358 ref 563 ref appTerm appTerm appTerm 4463 ref 4533 ref 603 ref appTerm 6563 def appTerm 6564 def 563 ref appTerm appTerm absTerm 6565 def 563 ref appTerm betaConv absThm appThm appThm 417 ref 646 ref 417 ref 647 ref 6565 ref 650 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6565 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 646 ref 417 ref 647 ref 3788 ref 4533 ref refl 6566 def 6361 remove appThm nil 6366 remove 6370 remove 461 remove cons cons nil cons cons 4566 ref subst 3820 ref 684 ref nil 3420 ref 6431 remove cons 6567 def 303 ref 6432 remove cons 6568 def 3897 ref cons cons nil cons cons 6500 ref subst appThm nil 3420 ref 6393 remove cons 6569 def 303 ref 6395 remove cons 6570 def 3586 ref cons cons nil cons cons 6500 ref subst appThm nil 3500 ref 338 ref 4571 ref 6362 ref appTerm 6571 def appTerm 4571 ref 6364 ref appTerm 6572 def appTerm 6573 def nil cons cons 3502 ref 4568 ref 6368 ref appTerm 6574 def nil cons cons 6575 def 3504 ref 4568 ref 6367 ref appTerm 6576 def nil cons cons nil cons 6577 def cons cons nil cons cons 6418 ref subst trans appThm 684 ref nil 6569 remove 6570 remove 3897 ref cons cons nil cons cons 6500 ref subst appThm nil 6567 remove 6568 remove 3586 ref cons cons nil cons cons 6500 ref subst appThm nil 3500 ref 338 ref 4571 ref 6367 remove appTerm 6578 def appTerm 4571 ref 6368 remove appTerm 6579 def appTerm 6580 def nil cons cons 3502 ref 4568 ref 6364 remove appTerm 6581 def nil cons cons 6582 def 3504 ref 4568 ref 6362 remove appTerm 6583 def nil cons cons nil cons 6584 def cons cons nil cons cons 6418 ref subst trans appThm trans trans appThm 4463 ref refl 6585 def 4567 ref appThm 4165 remove appThm nil 654 remove 656 remove 459 ref 4576 ref 4571 ref 601 ref appTerm 6586 def appTerm 6587 def nil cons 6588 def cons 460 ref 4573 ref nil cons 6589 def cons nil cons cons 6590 def cons cons nil cons cons 4566 ref subst 3820 ref 684 ref nil 3907 ref 3502 ref 4572 ref nil cons 6591 def cons 3504 ref 4569 remove nil cons cons nil cons 6592 def cons 6593 def cons nil cons cons 3500 ref 6445 remove absTerm 6594 def 3512 ref appTerm 6595 def betaConv 3502 ref 416 ref 6594 ref appTerm 6596 def absTerm 6597 def 3509 ref appTerm 6598 def betaConv 3504 ref 416 ref 6597 ref appTerm 6599 def absTerm 6600 def 3507 ref appTerm 6601 def betaConv 6501 ref nil 59 ref 416 ref 6600 ref appTerm nil cons cons 6602 def 60 ref 6601 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6600 ref nil cons cons 6603 def 3523 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6599 remove nil cons cons 60 ref 6598 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6597 remove nil cons cons 3606 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6596 remove nil cons cons 60 ref 6595 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6594 remove nil cons cons 3611 ref cons nil cons cons 163 ref subst eqMp eqMp 6604 def subst 684 ref 4161 ref 3420 ref 365 ref 4453 ref 4579 remove appTerm 3424 ref appTerm 6605 def appTerm 4578 remove 4581 remove 3424 ref appTerm 6606 def appTerm 6607 def appTerm 6608 def absTerm 6609 def 3424 ref appTerm 6610 def betaConv 303 ref 416 ref 6609 ref appTerm 6611 def absTerm 6612 def 331 ref appTerm 6613 def betaConv 302 ref 416 ref 6612 ref appTerm 6614 def absTerm 6615 def 328 ref appTerm 6616 def betaConv 417 ref 302 ref 417 ref 303 ref 417 ref 3420 ref 6608 remove assume sym 365 ref 6607 remove appTerm 6605 remove appTerm assume sym deductAntisym absThm appThm absThm appThm absThm appThm 706 ref 219 ref 706 ref 307 ref 706 ref 756 ref nil 307 ref 4444 ref 4446 ref appTerm 758 ref appTerm 6617 def nil cons cons 219 ref 4445 ref 4588 ref 758 ref appTerm 6618 def appTerm 6619 def nil cons cons nil cons cons nil cons cons 6620 def 2989 ref subst 690 ref nil 307 ref 6618 ref nil cons 6621 def cons nil cons nil cons cons 6622 def 6328 ref subst 6467 remove 817 ref 6328 ref subst appThm trans appThm nil 816 ref 4591 ref cons nil cons cons 6623 def 6328 ref subst 6512 ref 6328 ref appThm 3447 remove appThm trans appThm trans absThm appThm 111 ref 706 ref 756 ref "_16827" 285 ref var 6624 def 365 ref 4594 ref 4453 ref 717 ref appTerm 6624 remove varTerm 6625 def appTerm appTerm appTerm 4453 ref 4595 remove appTerm 6625 remove appTerm appTerm absTerm 6626 def 3446 remove appTerm betaConv absThm appThm appThm 417 ref 3420 ref 6626 ref 3424 ref appTerm betaConv absThm appThm appThm nil 659 ref 6626 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 307 ref "_16829" 285 ref var 6627 def 416 ref 3420 ref 365 ref 4594 ref 4453 ref 6627 remove varTerm 6628 def appTerm 3424 ref appTerm appTerm appTerm 4453 ref 4594 remove 6628 remove appTerm appTerm 3424 ref appTerm appTerm absTerm appTerm absTerm 6629 def 717 ref appTerm betaConv absThm appThm appThm 417 ref 303 ref 6629 ref 331 ref appTerm betaConv absThm appThm appThm nil 659 ref 6629 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref "_16831" 285 ref var 6630 def 416 ref 303 ref 416 ref 3420 ref 365 ref 4453 ref 6630 remove varTerm appTerm 6631 def 6606 remove appTerm appTerm 4453 ref 6631 remove 331 ref appTerm appTerm 3424 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6632 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 6632 ref 328 ref appTerm betaConv absThm appThm appThm nil 659 ref 6632 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 705 ref 307 ref 705 ref 756 ref 232 ref 6619 ref appTerm 6617 ref appTerm 6633 def absTerm 6634 def appTerm 6635 def absTerm 6636 def appTerm 6637 def absTerm 6638 def nil cons cons 6639 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 6637 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 6636 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 6635 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 6634 remove nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 6633 remove nil cons cons nil cons nil cons cons 101 ref subst 3390 ref 6622 remove 4651 ref subst appThm 6623 remove 4651 ref subst appThm sym 3390 ref 3112 ref 7 ref 5367 remove 817 ref 5931 ref subst 3282 ref appThm 7 ref 787 ref 822 ref appTerm 6640 def absTerm 34 ref appTerm betaConv trans appThm absThm appThm appThm 3112 ref 7 ref 5931 ref 3489 remove appThm 4653 remove 822 ref appTerm betaConv trans absThm appThm appThm nil 219 ref 310 ref 7 ref 732 ref 6640 remove appTerm absTerm appTerm nil cons cons nil cons nil cons cons 745 ref subst trans sym 100 ref eqMp eqMp eqMp 6641 def absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 6642 def eqMp eqMp nil 59 ref 416 ref 6615 ref appTerm nil cons cons 60 ref 6616 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6615 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6614 remove nil cons cons 60 ref 6613 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6612 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6611 remove nil cons cons 60 ref 6610 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6609 remove nil cons cons 3493 ref cons nil cons cons 163 ref subst eqMp eqMp 6643 def subst appThm nil 3902 ref 4162 ref cons nil cons cons 6644 def 6643 ref subst appThm trans appThm nil 3895 ref 3502 ref 6586 ref nil cons 6645 def cons 3504 ref 6343 ref cons nil cons 6646 def cons 6647 def cons nil cons cons 6604 ref subst 684 ref nil 3890 ref 3898 ref cons nil cons cons 6648 def 6643 ref subst appThm nil 3890 ref 3905 remove cons nil cons cons 6643 ref subst appThm trans appThm nil 3500 ref 338 ref 6574 remove appTerm 6649 def 6571 ref appTerm nil cons cons 3502 ref 6572 remove nil cons 6650 def cons 6577 remove cons cons nil cons cons 6418 ref subst 338 ref 6576 remove appTerm 6651 def refl nil 3500 ref 6571 remove nil cons 6652 def cons 6575 remove 3504 ref 6650 remove cons nil cons 6653 def cons cons nil cons cons 6426 ref subst 6649 ref refl nil 3502 ref 6652 remove cons 6653 remove cons nil cons cons 6412 ref subst appThm trans appThm trans trans appThm 684 ref nil 3895 remove 6593 ref cons nil cons cons 6604 ref subst 684 ref nil 3890 remove 4160 ref cons nil cons cons 6643 ref subst appThm 4163 ref 6643 ref subst appThm trans appThm nil 3907 remove 6647 ref cons nil cons cons 6604 ref subst 684 ref nil 3902 remove 3898 ref cons nil cons cons 6643 ref subst appThm 3906 ref 6643 remove subst appThm trans appThm nil 3500 ref 338 ref 6581 remove appTerm 6654 def 6578 ref appTerm nil cons cons 3502 ref 6579 remove nil cons 6655 def cons 6584 remove cons cons nil cons cons 6418 ref subst 338 ref 6583 remove appTerm 6656 def refl nil 3500 ref 6578 remove nil cons 6657 def cons 6582 remove 3504 ref 6655 remove cons nil cons 6658 def cons cons nil cons cons 6426 ref subst 6654 ref refl nil 3502 ref 6657 remove cons 6658 remove cons nil cons cons 6412 ref subst appThm trans appThm trans trans appThm trans trans appThm nil 293 ref 301 ref 6651 remove 6649 remove 6573 remove appTerm appTerm appTerm 6656 remove 6654 remove 6580 remove appTerm appTerm appTerm nil cons cons nil cons nil cons cons 4167 remove subst trans sym 100 ref eqMp nil 59 ref 3776 ref 4533 ref 6358 remove 650 ref appTerm appTerm 6659 def appTerm 6564 remove 650 ref appTerm 6660 def appTerm nil cons cons 60 ref 63 ref 373 ref 6659 ref appTerm 6660 ref appTerm appTerm 86 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 294 ref 6660 remove nil cons cons 293 ref 6659 remove nil cons cons nil cons cons nil cons cons 4032 ref subst eqMp absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp eqMp nil 574 ref 3635 ref 574 ref 3999 ref 574 ref 4144 ref 398 ref 6542 ref 6559 remove appTerm appTerm 4479 ref 6543 ref appTerm 4145 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 293 ref nil 4175 remove 293 ref 4463 ref 4191 ref 4704 ref appTerm 6661 def appTerm 354 ref appTerm 6662 def nil cons cons nil cons cons nil cons cons 3651 ref subst 3626 ref nil 3991 ref 3654 ref 6661 ref nil cons 6663 def cons nil cons cons nil cons cons 6532 ref subst 6549 ref nil 5239 ref nil cons cons 6664 def 4211 ref subst 6665 def appThm 4213 ref appThm trans appThm 4213 ref appThm trans absThm appThm 111 ref 292 ref 293 ref "_17094" 394 ref var 6666 def 398 ref 4479 ref 4205 ref 4704 ref appTerm 6667 def appTerm 6668 def 6666 remove varTerm 6669 def appTerm appTerm 6669 remove appTerm absTerm 6670 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 6670 ref 3636 ref appTerm betaConv absThm appThm appThm nil 3622 ref 6670 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 373 ref 6662 remove appTerm 354 ref appTerm absTerm 6671 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 6671 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6671 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 3773 ref 6585 ref nil 5231 ref nil cons 6672 def nil cons cons 4221 ref subst 6673 def appThm 4223 ref appThm nil 455 ref 458 ref 4225 ref 460 ref 4186 ref 4704 ref appTerm 6674 def nil cons 6675 def cons nil cons cons cons cons nil cons cons 4566 ref subst trans appThm 4223 ref appThm nil 455 remove 458 remove 459 ref 338 ref 4453 ref 6674 ref appTerm 6676 def 421 ref appTerm appTerm 4453 ref 4188 ref appTerm 6677 def 420 ref appTerm appTerm nil cons cons 460 ref 338 ref 6676 ref 420 ref appTerm appTerm 6677 ref 421 ref appTerm appTerm nil cons cons nil cons cons cons cons nil cons cons 542 ref subst trans absThm appThm absThm appThm trans sym 417 ref 418 ref 417 ref 419 ref 690 ref 684 ref 684 ref 4229 remove 302 ref 365 ref 6676 ref 328 ref appTerm appTerm 328 ref appTerm absTerm 6678 def 328 ref appTerm 6679 def betaConv 6680 def 706 ref 219 ref nil 728 ref 219 ref 4444 ref 4181 ref 4704 ref appTerm 6681 def appTerm 6682 def 233 ref appTerm 6683 def nil cons 6684 def cons nil cons cons nil cons cons 2989 ref subst 690 ref nil 728 ref 219 ref 6681 ref nil cons 6685 def cons nil cons 6686 def cons nil cons cons 6687 def 6328 ref subst 6512 ref 6664 remove 4247 ref subst 6688 def appThm 4249 ref appThm trans appThm 4249 ref appThm trans absThm appThm 111 ref 706 ref 219 ref "_16835" 285 ref var 6689 def 365 ref 6676 ref 6689 remove varTerm 6690 def appTerm appTerm 6690 remove appTerm absTerm 6691 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 6680 remove absThm appThm appThm nil 659 ref 6691 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans 706 ref 219 ref 3390 ref 6687 remove 4651 remove subst 3112 remove 7 ref nil 4256 ref 5230 ref cons nil cons nil cons cons 4296 ref subst 6692 def 7 ref 5244 ref absThm trans 6693 def 4301 ref appThm 7 ref 34 ref absTerm 6694 def 733 ref appTerm betaConv trans absThm appThm trans appThm 233 ref refl 6695 def appThm absThm appThm sym 706 ref 219 ref 3390 ref 3118 remove appThm 6695 ref appThm 745 ref trans absThm appThm 3120 ref trans sym 100 ref eqMp eqMp 6696 def eqMp nil 59 ref 416 ref 6678 ref appTerm nil cons cons 60 ref 6679 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6678 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp 6697 def subst appThm nil 6504 ref nil cons cons 3500 ref 365 ref 4453 ref 4230 ref 6674 ref appTerm appTerm 6698 def 3512 ref appTerm appTerm 338 ref 6677 ref 3512 ref appTerm appTerm 6699 def 6676 ref 3512 ref appTerm appTerm appTerm absTerm 6700 def 3507 ref appTerm 6701 def betaConv 3502 ref 416 ref 3500 ref 365 ref 4453 ref 4230 ref 3509 ref appTerm appTerm 3512 ref appTerm appTerm 6699 remove 6433 remove appTerm appTerm absTerm appTerm absTerm 6702 def 6674 ref appTerm 6703 def betaConv 6600 remove 4188 ref appTerm 6704 def betaConv 6501 remove nil 6602 remove 60 ref 6704 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 6603 remove 302 ref 4224 ref cons 6705 def nil cons 6706 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 416 ref 6702 ref appTerm nil cons cons 60 ref 6703 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6702 remove nil cons cons 302 ref 6675 ref cons nil cons 6707 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 416 ref 6700 ref appTerm nil cons cons 60 ref 6701 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6700 remove nil cons cons 3523 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 365 ref 6698 remove 3507 ref appTerm appTerm 338 ref 6677 ref 3507 ref appTerm 6708 def appTerm 6676 remove 3507 ref appTerm 6709 def appTerm 6710 def appTerm nil cons cons 60 ref 365 ref 6708 ref appTerm 4188 ref appTerm 6711 def nil cons 6712 def cons nil cons 6713 def cons nil cons cons 132 ref subst proveHyp 651 ref 690 ref 6512 ref nil 6707 ref nil cons cons 4313 ref subst appThm 3507 ref refl appThm appThm 6710 remove refl 6714 def appThm appThm 6711 remove refl 6715 def appThm sym 651 ref 690 ref nil 302 ref 6709 remove nil cons 6716 def cons nil cons nil cons cons 302 ref 365 ref 328 ref appTerm 6717 def 4231 remove appTerm 6718 def absTerm 6719 def 328 ref appTerm 6720 def betaConv 417 ref 302 ref 6718 remove assume sym 4232 remove assume sym deductAntisym absThm appThm 4312 remove eqMp nil 59 ref 416 ref 6719 ref appTerm nil cons cons 60 ref 6720 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6719 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp 6721 def subst appThm 6714 remove appThm appThm 6715 ref appThm sym 651 ref nil 3502 ref 6708 ref nil cons cons 3500 ref 6716 remove cons 3504 ref 4224 ref cons nil cons 6722 def cons cons nil cons cons 3612 ref subst appThm 6715 remove appThm sym nil 59 ref 365 ref 4188 ref appTerm 6723 def 6708 remove appTerm 6724 def nil cons 6725 def cons 6713 remove cons nil cons cons 6726 def 81 ref subst 6726 remove 152 ref subst 6724 remove assume sym eqMp nil 107 ref 6725 remove cons 109 ref 6712 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 6727 def subst appThm nil 6505 remove nil cons nil cons cons 4429 ref subst 6728 def trans appThm 421 ref refl appThm appThm 6422 ref 684 ref 4314 remove 6697 remove subst appThm nil 6403 ref nil cons cons 6727 ref subst appThm nil 6402 remove nil cons nil cons cons 4429 ref subst trans appThm appThm 551 remove trans absThm appThm 554 ref trans absThm appThm 554 ref trans sym 100 ref eqMp eqMp eqMp nil 574 ref 3635 ref 398 ref 6668 remove 3636 ref appTerm appTerm 3636 ref appTerm absTerm appTerm thm 292 ref 293 ref 292 ref 294 ref 292 ref 562 ref nil 294 ref 351 ref 4467 ref appTerm 4466 ref 563 ref appTerm 6729 def appTerm 6730 def nil cons cons 293 ref 4466 remove 4129 ref appTerm 6731 def nil cons cons nil cons cons nil cons cons 3651 ref subst 3626 ref 4131 remove 6532 ref subst 6547 remove 4134 remove appThm trans appThm nil 3652 ref 6729 remove nil cons cons 6548 remove cons nil cons cons 3989 ref subst 4136 ref 6533 ref appThm nil 4132 remove 3655 ref cons nil cons cons 6732 def 6532 ref subst appThm trans appThm trans absThm appThm 111 ref 292 ref 562 ref "_17102" 394 ref var 6733 def 398 ref 6535 ref 4140 remove 6733 remove varTerm 6734 def appTerm appTerm appTerm 3679 ref 6552 remove appTerm 6535 ref 6734 remove appTerm appTerm appTerm absTerm 6735 def 4137 ref appTerm betaConv absThm appThm appThm 3998 ref 4144 ref 6735 ref 4145 ref appTerm betaConv absThm appThm appThm nil 3622 ref 6735 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 294 ref "_17104" 394 ref var 6736 def 574 ref 4144 ref 398 ref 6535 ref 3679 ref 6736 remove varTerm 6737 def appTerm 4145 ref appTerm appTerm appTerm 3679 ref 6535 ref 6737 remove appTerm appTerm 6535 ref 4145 ref appTerm appTerm appTerm absTerm appTerm absTerm 6738 def 405 ref appTerm betaConv absThm appThm appThm 3998 ref 3999 ref 6738 ref 4000 ref appTerm betaConv absThm appThm appThm nil 3622 ref 6738 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 293 ref "_17106" 394 ref var 6739 def 574 ref 3999 ref 574 ref 4144 ref 398 ref 4479 ref 6739 remove varTerm appTerm 6740 def 4151 ref appTerm appTerm 3679 ref 6740 ref 4000 ref appTerm appTerm 6740 remove 4145 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6741 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 6741 ref 3636 ref appTerm betaConv absThm appThm appThm nil 3622 ref 6741 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 291 ref 294 ref 291 ref 562 ref 373 ref 6731 remove appTerm 6730 remove appTerm absTerm appTerm absTerm appTerm absTerm 6742 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 6742 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6742 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 291 ref 562 ref 373 ref 4533 ref 4129 remove appTerm appTerm 351 ref 4534 ref appTerm 4533 ref 563 ref appTerm 6743 def appTerm appTerm absTerm appTerm absTerm 6744 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 6744 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6744 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 111 ref 292 ref 562 ref 562 ref 373 ref 4533 ref 4155 remove appTerm appTerm 351 ref 6563 remove appTerm 6745 def 6743 remove appTerm appTerm absTerm 6746 def 563 ref appTerm betaConv absThm appThm appThm 417 ref 646 ref 417 ref 647 ref 6746 ref 650 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6746 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 646 ref 417 ref 647 ref 3788 ref 6566 remove 3878 remove appThm 4159 remove 4566 ref subst 3820 ref 684 ref 4161 remove 6500 ref subst appThm 4163 remove 6500 ref subst appThm nil 3500 ref 338 ref 4572 ref appTerm 6747 def 6378 remove appTerm 6748 def nil cons cons 3502 ref 6397 remove cons 6749 def 6592 remove cons cons nil cons cons 6418 ref subst trans appThm 684 ref 6648 remove 6500 ref subst appThm 3906 remove 6500 ref subst appThm nil 3500 ref 338 ref 6586 remove appTerm 6373 remove appTerm 6750 def nil cons cons 3502 ref 6430 remove cons 6751 def 6646 ref cons cons nil cons cons 6418 ref subst trans appThm trans trans appThm 4164 ref 4567 ref appThm 6360 remove appThm nil 453 ref 6375 ref cons 456 ref 6380 ref cons 6590 remove cons cons nil cons cons 3818 ref subst 3820 ref nil 3500 ref 6380 remove cons 6593 remove cons nil cons cons 6418 ref subst 4570 ref refl nil 3500 ref 6396 remove cons 6749 remove 3504 ref 6591 ref cons nil cons 6752 def cons cons nil cons cons 6426 ref subst appThm trans appThm nil 3500 ref 6375 remove cons 6647 remove cons nil cons cons 6418 ref subst 4577 ref nil 3500 ref 6429 remove cons 6751 remove 3504 ref 6645 remove cons nil cons cons cons nil cons cons 6426 ref subst appThm trans appThm trans trans appThm nil 600 ref 4576 ref 6372 remove 6750 remove appTerm appTerm nil cons 6753 def cons 599 ref 4570 remove 6377 remove 6748 remove appTerm appTerm nil cons 6754 def cons 419 ref 6753 ref cons 418 ref 6754 ref cons nil cons cons cons cons nil cons cons 3846 remove subst 652 ref nil 302 ref 6754 remove cons nil cons nil cons cons 550 ref subst appThm nil 302 ref 6753 remove cons nil cons nil cons cons 550 ref subst appThm 875 ref trans trans trans sym 100 ref eqMp nil 59 ref 3776 ref 4533 ref 4168 remove appTerm 6755 def appTerm 6745 remove 4533 remove 650 ref appTerm appTerm 6756 def appTerm nil cons cons 60 ref 63 ref 373 ref 6755 ref appTerm 6756 ref appTerm appTerm 86 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 294 ref 6756 remove nil cons cons 293 ref 6755 remove nil cons cons nil cons cons nil cons cons 4032 remove subst eqMp absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp eqMp nil 574 ref 3635 ref 574 ref 3999 ref 574 ref 4144 ref 398 ref 6542 ref 4151 remove appTerm appTerm 3679 ref 6543 ref appTerm 6542 ref 4145 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 293 ref nil 3991 ref 3655 remove cons nil cons cons 63 ref "HOLLight.treal_le" "_16917" 288 ref var 6757 def "_16918" 288 ref var 6758 def "HOLLight.hreal_le" 302 ref 303 ref 1113 ref 89 remove constTerm 6759 def "u" 16 ref var 6760 def 218 ref 219 ref 218 ref 307 ref 70 ref 63 ref "HOLLight.nadd_le" "_16434" 214 ref var 6761 def "_16435" 214 ref var 6762 def 20 ref 21 ref 22 ref 7 ref 26 ref 224 ref 6761 ref varTerm 6763 def appTerm 34 ref appTerm appTerm 38 ref 224 ref 6762 ref varTerm 6764 def appTerm 34 ref appTerm appTerm 36 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6765 def absTerm 6766 def defineConst 6767 def pop 231 remove constTerm 6768 def 233 ref appTerm 6769 def 320 ref appTerm 6770 def appTerm 6771 def 6760 ref varTerm 6772 def appTerm 6773 def appTerm 6774 def 332 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6775 def absTerm 6776 def defineConst 6777 def pop 364 remove constTerm 6778 def 338 ref 341 ref 6757 ref varTerm 6779 def appTerm appTerm 345 ref 6758 ref varTerm 6780 def appTerm appTerm appTerm 338 ref 341 ref 6780 ref appTerm appTerm 345 ref 6779 ref appTerm appTerm appTerm absTerm 6781 def absTerm 6782 def defineConst 6783 def pop 372 remove constTerm 6784 def 3657 ref appTerm 6785 def 3659 ref appTerm 6786 def appTerm 6787 def "Number.Real.<=" 3663 remove 3664 remove 6759 ref 6760 ref 378 ref 3654 ref 378 ref 3652 ref 70 ref 6787 ref 6772 ref appTerm 6788 def appTerm 6789 def 3672 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6790 def absTerm 6791 def defineConst 6792 def pop 397 ref constTerm 6793 def 3681 remove appTerm 3683 remove appTerm 6794 def appTerm assume sym 63 ref 6794 remove appTerm 6795 def 6786 ref appTerm assume sym deductAntisym 6795 ref refl nil 198 ref 6786 ref nil cons 6796 def cons nil cons nil cons cons 259 remove 1858 remove 2854 ref refl 618 ref 631 remove absThm appThm appThm 162 remove appThm sym 147 ref 511 ref 2854 remove 618 ref 623 ref absTerm appTerm appTerm 148 ref appTerm absTerm 6797 def 148 ref appTerm 6798 def betaConv nil 142 ref 6797 ref appTerm 6799 def axiom nil 59 ref 6799 remove nil cons cons 60 ref 6798 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 6797 remove nil cons cons 275 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 6800 def subst 6801 def subst appThm 63 ref "_17039" 289 ref var 6802 def 6795 ref 6759 ref 6760 ref 378 ref 3690 ref 378 ref 3691 ref 70 ref 63 ref 6784 ref 3692 ref appTerm 3693 ref appTerm 6803 def appTerm 6772 ref appTerm 6804 def appTerm 6805 def 3698 remove 6802 ref varTerm 3693 ref appTerm 6806 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 3700 remove appTerm 6807 def appTerm refl 6802 ref 6795 ref 6759 ref 6760 ref 378 ref 3690 ref 378 ref 3691 ref 6805 ref 3703 remove 6806 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 6808 def 3682 remove appTerm betaConv appThm 111 ref 6807 remove betaConv appThm 6795 ref 6759 ref 6760 ref 378 ref 3690 ref 378 ref 3691 ref 6805 ref 3705 remove appTerm 6809 def absTerm 6810 def appTerm 6811 def absTerm 6812 def appTerm 6813 def absTerm appTerm appTerm refl appThm trans 3711 remove "_17038" 289 ref var 6814 def 6802 remove 6795 remove 6759 ref 6760 ref 378 ref 3690 ref 378 ref 3691 ref 6805 remove 70 ref 6814 remove varTerm 3692 ref appTerm appTerm 6806 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm absTerm 6815 def 3697 remove appTerm 6816 def appTerm refl 6815 ref 3680 remove appTerm betaConv appThm 3715 remove 6816 remove betaConv appThm 6808 remove refl appThm trans 6815 remove refl 3719 remove appThm eqMp 3722 remove appThm eqMp 3724 remove 63 ref 6793 ref 3669 ref appTerm 6817 def 3671 ref appTerm appTerm refl 6790 remove 3671 remove appTerm betaConv appThm 54 ref 1 ref 395 ref 573 remove nil cons cons opType constTerm 6817 remove appTerm refl 6791 remove 3669 remove appTerm betaConv appThm 6792 remove 3727 remove appThm eqMp 3728 remove appThm eqMp subst eqMp 6759 ref refl 6818 def 6760 ref nil 59 ref 6813 ref nil cons 6819 def cons 60 ref 6788 ref nil cons 6820 def cons nil cons 6821 def cons nil cons cons 1845 ref subst nil 386 ref 3690 ref 64 ref 6812 ref 3692 remove appTerm 6822 def appTerm 6788 ref appTerm 6823 def absTerm nil cons cons nil cons nil cons cons 3735 ref subst 3690 remove nil 94 ref 6823 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6822 ref nil cons 6824 def cons 6821 ref cons nil cons cons 6825 def 81 ref subst 6825 remove 152 ref subst 6822 ref betaConv 6826 def 6822 remove assume eqMp nil 59 ref 6811 ref nil cons cons 6821 ref cons nil cons cons 132 ref subst proveHyp nil 386 ref 3691 ref 64 ref 6810 ref 3693 remove appTerm 6827 def appTerm 6788 ref appTerm 6828 def absTerm nil cons cons nil cons nil cons cons 3735 ref subst 3691 remove nil 94 ref 6828 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6827 ref nil cons 6829 def cons 6821 ref cons nil cons cons 6830 def 81 ref subst 6830 remove 152 ref subst 6827 ref betaConv 6831 def 6827 remove assume eqMp nil 59 ref 6809 ref nil cons 6832 def cons 6833 def 6821 remove cons nil cons cons 6834 def 132 ref subst proveHyp 6834 ref 81 ref subst 6834 remove 152 ref subst nil 107 ref 6804 remove nil cons cons 3749 remove cons nil cons cons 6835 def 687 ref subst nil 3751 remove 60 ref 6787 ref 6803 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3759 remove nil 3765 remove 60 ref 6787 remove 6784 ref 3760 ref appTerm 6836 def 3762 ref appTerm 6837 def appTerm nil cons 6838 def cons nil cons cons nil cons cons 6839 def 81 ref subst 6839 remove 152 ref subst 3912 remove 3854 remove nil 59 ref 6796 ref cons 60 ref 6837 ref nil cons 6840 def cons nil cons 6841 def cons nil cons cons 6842 def 1845 ref subst 6842 ref 81 ref subst 6842 remove 152 ref subst 294 ref 70 ref 6836 ref 352 ref appTerm appTerm 6843 def 6784 ref 352 ref appTerm 6844 def 3762 ref appTerm 6845 def appTerm absTerm 6846 def 3659 ref appTerm betaConv sym 294 ref 6843 remove 6844 ref 3659 ref appTerm 6847 def appTerm absTerm 6848 def 3657 ref appTerm betaConv sym 70 ref 6836 ref 3657 ref appTerm 6849 def appTerm refl nil 94 ref 6796 ref cons nil cons nil cons cons 101 ref subst 6786 ref assume eqMp appThm nil 94 ref 6849 remove nil cons 6850 def cons nil cons nil cons cons 1385 ref subst trans sym nil 3856 remove 3909 ref cons nil cons cons 6851 def 558 ref 352 ref appTerm 6852 def betaConv 594 remove 637 remove nil 638 remove 60 ref 593 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 595 remove cons 388 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 559 remove nil cons cons 60 ref 6852 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 558 remove nil cons cons 3650 ref cons nil cons cons 163 ref subst eqMp eqMp 6853 def subst sym 3761 remove assume eqMp nil 59 ref 373 ref 3760 ref appTerm 3657 remove appTerm nil cons cons 60 ref 6850 remove cons nil cons cons nil cons cons 132 ref subst proveHyp 6851 remove 294 ref 64 ref 375 ref appTerm 6854 def 6784 ref 354 ref appTerm 6855 def 352 ref appTerm 6856 def appTerm absTerm 6857 def 352 ref appTerm 6858 def betaConv 293 ref 291 ref 6857 ref appTerm 6859 def absTerm 6860 def 354 ref appTerm 6861 def betaConv 6862 def 111 ref 292 ref 293 ref 6862 remove absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 6860 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6860 ref nil cons 6863 def cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 64 ref 597 ref appTerm 6864 def 6784 ref 422 ref appTerm 6865 def 352 ref appTerm 6866 def appTerm absTerm 6867 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 6867 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 6867 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref nil 4398 remove 60 ref 63 ref 6865 ref 603 ref appTerm 6868 def appTerm 6869 def 86 ref appTerm 6870 def nil cons 6871 def cons nil cons cons nil cons cons 6872 def 81 ref subst 6872 remove 152 ref subst 608 remove nil 6757 remove 467 remove cons 6758 remove 471 remove cons nil cons cons nil cons cons 6783 remove 6779 ref refl appThm 6782 remove 6779 remove appTerm betaConv trans 6780 ref refl appThm 6781 remove 6780 remove appTerm betaConv trans subst 63 ref "_16934" 285 ref var 6873 def 6778 ref 473 ref 6873 ref varTerm 6874 def appTerm appTerm 6875 def 477 ref appTerm absTerm 469 ref appTerm 6876 def appTerm refl 6873 ref 6778 ref 480 remove 6874 ref appTerm appTerm 6877 def 484 ref appTerm absTerm 6878 def 486 remove appTerm betaConv appThm 111 ref 6876 remove betaConv appThm 6778 ref 487 remove appTerm 484 remove appTerm refl appThm trans 488 ref "_16933" 285 ref var 6879 def 6873 ref 6875 ref 338 ref 6879 ref varTerm appTerm 6880 def 465 ref appTerm appTerm absTerm absTerm 468 ref appTerm 6881 def appTerm refl 6879 ref 6873 ref 6877 ref 6880 ref 483 ref appTerm appTerm absTerm absTerm 6882 def 482 remove appTerm betaConv appThm 493 remove 6881 remove betaConv appThm 6878 remove refl appThm trans 494 remove "_16932" 285 ref var 6883 def 6879 ref 6873 ref 6875 remove 6880 remove 6883 ref varTerm appTerm 6884 def appTerm absTerm absTerm absTerm 465 ref appTerm 6885 def appTerm refl 6883 ref 6879 ref 6873 ref 6877 remove 6884 ref appTerm absTerm absTerm absTerm 6886 def 483 remove appTerm betaConv appThm 499 remove 6885 remove betaConv appThm 6882 remove refl appThm trans 501 remove "_16931" 285 ref var 6887 def 6883 remove 6879 remove 6873 remove 6778 ref 338 ref 6887 remove varTerm appTerm 6874 remove appTerm appTerm 6884 remove appTerm absTerm absTerm absTerm absTerm 6888 def 463 ref appTerm 6889 def appTerm refl 6888 ref 479 remove appTerm betaConv appThm 505 remove 6889 remove betaConv appThm 6886 remove refl appThm trans 6888 remove refl 525 remove appThm eqMp 536 remove appThm eqMp 540 remove appThm eqMp 541 remove appThm eqMp sym trans 6890 def subst 6891 def 6778 ref refl 6892 def 4405 remove appThm 615 ref refl appThm 4406 remove nil 94 ref 6778 ref 328 ref appTerm 6893 def 328 ref appTerm 6894 def nil cons cons nil cons nil cons cons 101 ref subst 302 ref 6894 remove absTerm 6895 def 328 ref appTerm 6896 def betaConv 6897 def 706 ref 219 ref 729 ref 6771 ref 6778 ref 714 ref appTerm 6898 def 717 ref appTerm 6899 def appTerm assume sym 63 ref 6899 remove appTerm 6900 def 6770 ref appTerm assume sym deductAntisym 6900 ref refl nil 198 ref 6770 ref nil cons 6901 def cons nil cons nil cons cons 6801 remove subst appThm 63 ref "_16690" 215 ref var 6902 def 6900 ref 6759 ref 6760 ref 218 ref 236 ref 218 ref 3000 ref 70 ref 63 ref 6768 ref 237 ref appTerm 3001 ref appTerm 6903 def appTerm 6772 remove appTerm 6904 def appTerm 6905 def 3006 remove 6902 ref varTerm 3001 ref appTerm 6906 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 3008 remove appTerm 6907 def appTerm refl 6902 ref 6900 ref 6759 ref 6760 ref 218 ref 236 ref 218 ref 3000 ref 6905 ref 3011 ref 6906 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 6908 def 716 ref appTerm betaConv appThm 111 ref 6907 remove betaConv appThm 6900 ref 6759 ref 6760 ref 218 ref 236 ref 218 ref 3000 ref 6905 ref 3014 ref appTerm 6909 def absTerm 6910 def appTerm 6911 def absTerm 6912 def appTerm 6913 def absTerm appTerm appTerm refl appThm trans 3020 remove "_16689" 215 ref var 6914 def 6902 remove 6900 remove 6759 remove 6760 ref 218 ref 236 ref 218 ref 3000 ref 6905 remove 70 ref 6914 remove varTerm 237 ref appTerm appTerm 6906 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm absTerm 6915 def 3005 ref appTerm 6916 def appTerm refl 6915 ref 234 ref appTerm betaConv appThm 3024 remove 6916 remove betaConv appThm 6908 remove refl appThm trans 6915 remove refl 3025 ref appThm eqMp 3027 remove appThm eqMp 3029 remove 63 ref 6893 ref 331 ref appTerm 6917 def appTerm 6918 def refl 6775 remove 331 ref appTerm betaConv appThm 488 remove 6893 ref appTerm refl 6776 remove 328 ref appTerm betaConv appThm 6777 remove 3031 ref appThm eqMp 3032 ref appThm eqMp subst eqMp 6818 remove 6760 remove nil 59 ref 6913 ref nil cons 6919 def cons 60 ref 6773 ref nil cons 6920 def cons nil cons 6921 def cons nil cons cons 1845 ref subst nil 243 ref 236 ref 64 ref 6912 ref 237 ref appTerm 6922 def appTerm 6773 ref appTerm 6923 def absTerm 6924 def nil cons cons nil cons nil cons cons 727 ref subst 236 ref nil 94 ref 6923 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6922 ref nil cons 6925 def cons 6921 ref cons nil cons cons 6926 def 81 ref subst 6926 remove 152 ref subst 6922 ref betaConv 6927 def 6922 remove assume eqMp nil 59 ref 6911 ref nil cons cons 6921 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 3000 ref 64 ref 6910 ref 3001 ref appTerm 6928 def appTerm 6773 ref appTerm 6929 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 3000 ref nil 94 ref 6929 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6928 ref nil cons 6930 def cons 6921 ref cons nil cons cons 6931 def 81 ref subst 6931 remove 152 ref subst 6928 ref betaConv 6932 def 6928 remove assume eqMp nil 59 ref 6909 ref nil cons 6933 def cons 6934 def 6921 remove cons nil cons cons 6935 def 132 ref subst proveHyp 6935 ref 81 ref subst 6935 remove 152 ref subst nil 107 ref 6904 remove nil cons cons 3052 remove cons nil cons cons 6936 def 687 ref subst nil 3054 remove 60 ref 6771 remove 6903 ref appTerm 6937 def nil cons 6938 def cons nil cons cons nil cons cons 6939 def 132 ref subst proveHyp 6939 ref 81 ref subst 6939 ref 152 ref subst 4639 remove 4640 remove nil 59 ref 6901 ref cons 6940 def 60 ref 6903 ref nil cons 6941 def cons nil cons 6942 def cons nil cons cons 6943 def 1845 ref subst 6943 ref 81 ref subst 6943 ref 152 ref subst 219 ref 218 ref 307 ref 3011 remove 70 ref 3013 ref appTerm 6770 ref appTerm appTerm 6944 def absTerm 6945 def appTerm 6946 def absTerm 6947 def 233 ref appTerm 6948 def betaConv 6949 def sym 6945 ref 320 ref appTerm 6950 def betaConv 6951 def sym 652 ref nil 94 ref 4636 ref cons nil cons nil cons cons 101 ref subst 3010 ref assume eqMp appThm 6952 def 652 ref nil 94 ref 4637 ref cons nil cons nil cons cons 101 ref subst 3013 ref assume eqMp appThm 6953 def nil 94 ref 6901 ref cons nil cons nil cons cons 101 ref subst 6770 ref assume 6954 def eqMp appThm 875 ref trans appThm 875 ref trans sym 100 ref eqMp eqMp 242 ref 243 ref 6945 ref nil cons cons 6955 def 783 ref cons nil cons cons 279 ref subst proveHyp eqMp 242 ref 243 ref 6947 ref nil cons cons 6956 def 245 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 6947 remove appTerm 6957 def nil cons 6958 def cons 6959 def 6942 ref cons nil cons cons 6960 def 132 ref subst proveHyp 3000 ref 64 ref 6957 remove appTerm 6961 def 6903 ref appTerm 6962 def absTerm 6963 def 3001 ref appTerm 6964 def betaConv 236 ref 705 ref 6963 ref appTerm 6965 def absTerm 6966 def 237 ref appTerm 6967 def betaConv nil 243 ref 219 ref 705 ref 236 ref 705 ref 307 ref 705 ref 3000 ref 64 ref 6944 ref appTerm 6903 ref appTerm 6968 def absTerm 6969 def appTerm 6970 def absTerm 6971 def appTerm 6972 def absTerm 6973 def appTerm 6974 def absTerm 6975 def nil cons cons 6976 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 6974 remove nil cons 6977 def cons nil cons nil cons cons 101 ref subst nil 243 ref 6973 ref nil cons cons 6978 def nil cons nil cons cons 727 ref subst 236 ref nil 94 ref 6972 remove nil cons 6979 def cons nil cons nil cons cons 101 ref subst nil 243 ref 6971 ref nil cons cons 6980 def nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 6970 remove nil cons 6981 def cons nil cons nil cons cons 101 ref subst nil 243 ref 6969 ref nil cons cons 6982 def nil cons nil cons cons 727 ref subst 3000 ref nil 94 ref 6968 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref 3061 remove 652 ref 3064 remove appThm nil 6761 remove 244 ref cons 6762 remove 730 ref cons nil cons cons nil cons cons 6767 remove 6763 ref refl appThm 6766 remove 6763 remove appTerm betaConv trans 6764 ref refl appThm 6765 remove 6764 remove appTerm betaConv trans subst 6983 def appThm appThm appThm 3286 remove 6983 ref subst appThm sym 651 ref 652 ref 48 ref 21 ref 49 ref 7 ref nil 5238 ref 7 ref 3334 ref cons 912 ref cons cons nil cons cons 5992 ref subst absThm appThm 111 ref 49 ref 7 ref 652 ref 7 ref 5954 ref 3288 ref 36 ref appTerm appTerm absTerm 6984 def 34 ref appTerm betaConv 6985 def appThm 7 ref 26 ref 3287 remove appTerm 6986 def 3071 ref 36 ref appTerm 6987 def appTerm absTerm 6988 def 34 ref appTerm betaConv 6989 def appThm absThm appThm appThm 652 ref 49 ref 7 ref 6985 remove absThm appThm appThm 49 ref 7 ref 6989 remove absThm appThm appThm appThm nil 4875 ref 6984 ref nil cons cons 4966 ref 6988 ref nil cons cons nil cons cons nil cons cons 4967 ref subst eqMp trans absThm appThm appThm 652 ref 48 ref 21 ref 49 ref 7 ref nil 5238 ref 6261 remove cons nil cons cons 5992 ref subst absThm appThm 111 ref 49 ref 7 ref 652 ref 7 ref 6009 ref 38 ref 3289 ref appTerm 6990 def 36 ref appTerm 6991 def appTerm absTerm 6992 def 34 ref appTerm betaConv 6993 def appThm 7 ref 26 ref 3289 remove appTerm 6994 def 3464 ref 36 ref appTerm 6995 def appTerm absTerm 6996 def 34 ref appTerm betaConv 6997 def appThm absThm appThm appThm 652 ref 49 ref 7 ref 6993 remove absThm appThm appThm 49 ref 7 ref 6997 remove absThm appThm appThm appThm nil 4875 ref 6992 ref nil cons cons 4966 ref 6996 ref nil cons cons nil cons cons nil cons cons 4967 ref subst eqMp trans absThm appThm appThm 20 ref 21 ref 22 ref 7 ref 5954 ref 6995 ref appTerm 6998 def absTerm 6999 def appTerm 7000 def absTerm 7001 def appTerm 7002 def refl 7003 def appThm appThm appThm 20 ref 21 ref 22 ref 7 ref 6986 ref 6991 remove appTerm absTerm appTerm absTerm 7004 def appTerm 7005 def refl appThm sym nil 59 ref 70 ref 20 ref 21 ref 70 ref 22 ref 6984 remove appTerm appTerm 22 ref 6988 remove appTerm appTerm absTerm 7006 def appTerm 7007 def appTerm 70 ref 20 ref 21 ref 70 ref 22 ref 6992 remove appTerm appTerm 22 ref 6996 remove appTerm appTerm absTerm 7008 def appTerm 7009 def appTerm 7002 ref appTerm 7010 def appTerm nil cons 7011 def cons 60 ref 7005 ref nil cons 7012 def cons nil cons 7013 def cons nil cons cons 7014 def 81 ref subst 7014 remove 152 ref subst nil 107 ref 7007 ref nil cons 7015 def cons 109 ref 7010 remove nil cons cons nil cons cons nil cons cons 7016 def 123 ref subst 7016 remove 687 ref subst nil 59 ref 7015 remove cons 7013 ref cons nil cons cons 132 ref subst nil 135 ref 837 ref 64 ref 7006 ref 838 ref appTerm 7017 def appTerm 7005 ref appTerm 7018 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 7018 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7017 ref nil cons 7019 def cons 7013 ref cons nil cons cons 7020 def 81 ref subst 7020 remove 152 ref subst 7017 ref betaConv 7017 remove assume eqMp nil 59 ref 70 ref 22 ref 7 ref 5954 ref 3288 remove 838 ref appTerm appTerm absTerm appTerm 7021 def appTerm 22 ref 7 ref 6986 ref 3071 ref 838 ref appTerm 7022 def appTerm 7023 def absTerm 7024 def appTerm 7025 def appTerm nil cons 7026 def cons 7013 ref cons nil cons cons 7027 def 132 ref subst proveHyp 7027 ref 81 ref subst 7027 remove 152 ref subst nil 107 ref 7009 ref nil cons 7028 def cons 109 ref 7002 ref nil cons 7029 def cons nil cons 7030 def cons nil cons cons 7031 def 123 ref subst 7031 remove 687 ref subst nil 59 ref 7028 remove cons 7013 ref cons nil cons cons 132 ref subst nil 135 ref 849 ref 64 ref 7008 ref 850 ref appTerm 7032 def appTerm 7005 ref appTerm 7033 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 7033 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7032 ref nil cons 7034 def cons 7013 ref cons nil cons cons 7035 def 81 ref subst 7035 remove 152 ref subst 7032 ref betaConv 7032 remove assume eqMp nil 59 ref 70 ref 22 ref 7 ref 6009 ref 6990 ref 850 ref appTerm 7036 def appTerm 7037 def absTerm 7038 def appTerm 7039 def appTerm 22 ref 7 ref 6994 remove 3464 ref 850 ref appTerm appTerm absTerm appTerm 7040 def appTerm nil cons 7041 def cons 7013 ref cons nil cons cons 7042 def 132 ref subst proveHyp 7042 ref 81 ref subst 7042 remove 152 ref subst nil 59 ref 7029 ref cons 7043 def 7013 ref cons nil cons cons 132 ref subst nil 135 ref 21 ref 64 ref 7001 ref 36 ref appTerm 7044 def appTerm 7045 def 7005 ref appTerm 7046 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 7046 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7044 ref nil cons 7047 def cons 7048 def 7013 ref cons nil cons cons 7049 def 81 ref subst 7049 remove 152 ref subst 7044 ref betaConv 7050 def 7044 remove assume eqMp 7051 def nil 59 ref 7000 remove nil cons 7052 def cons 7053 def 7013 remove cons nil cons cons 7054 def 132 ref subst proveHyp 7054 ref 81 ref subst 7054 remove 152 ref subst 7004 ref 38 ref 38 ref 850 ref appTerm 7055 def 36 ref appTerm 7056 def appTerm 838 ref appTerm 7057 def appTerm betaConv sym nil 135 ref 7 ref 6986 ref 6990 remove 7057 ref appTerm 7058 def appTerm 7059 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 7059 remove nil cons 7060 def cons nil cons nil cons cons 101 ref subst 26 ref 7022 ref appTerm 7061 def refl nil 881 ref 7 ref 7056 ref nil cons cons 7062 def 23 ref 3333 remove cons nil cons 7063 def cons cons nil cons cons 3486 ref subst 3487 ref nil 5238 ref 3207 ref 7063 remove cons cons nil cons cons 3486 ref subst appThm 838 ref refl appThm trans appThm nil 879 ref 38 ref 7036 ref appTerm 36 ref appTerm 7064 def nil cons cons 7065 def 3208 ref 736 ref cons cons nil cons cons 879 ref 63 ref 26 ref 3393 ref appTerm 5090 remove appTerm 7066 def appTerm 959 ref appTerm 7067 def absTerm 7068 def 883 ref appTerm 7069 def betaConv 7 ref 22 ref 7068 ref appTerm 7070 def absTerm 7071 def 34 ref appTerm 7072 def betaConv 23 ref 22 ref 7071 ref appTerm 7073 def absTerm 7074 def 31 ref appTerm 7075 def betaConv nil 22 ref 7074 ref appTerm 7076 def axiom nil 59 ref 7076 remove nil cons cons 60 ref 7075 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7074 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7073 remove nil cons cons 60 ref 7072 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7071 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7070 remove nil cons cons 60 ref 7069 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7068 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 7077 def subst trans sym nil 879 ref 7036 remove nil cons cons 5253 ref 5790 ref cons cons nil cons cons 7077 ref subst nil 94 ref 7037 remove nil cons cons nil cons nil cons cons 101 ref subst 7038 ref 34 ref appTerm 7078 def betaConv nil 107 ref 7039 remove nil cons 7079 def cons 109 ref 7040 remove nil cons cons nil cons cons nil cons cons 123 ref subst nil 59 ref 7079 remove cons 60 ref 7078 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7038 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp trans sym 100 ref eqMp nil 59 ref 26 ref 6995 ref appTerm 7080 def 7064 ref appTerm nil cons cons 60 ref 5954 ref 7064 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 7065 remove nil cons nil cons cons 879 ref 64 ref 7080 ref 883 ref appTerm appTerm 5954 ref 883 ref appTerm 7081 def appTerm absTerm 7082 def 883 ref appTerm 7083 def betaConv 7084 def 6999 ref 34 ref appTerm 7085 def betaConv 7086 def nil 7053 ref 60 ref 7085 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 6999 remove nil cons 7087 def cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6998 ref nil cons 7088 def cons 7089 def 60 ref 22 ref 7082 ref appTerm nil cons 7090 def cons nil cons cons nil cons cons 132 ref subst 7091 def proveHyp nil 7 ref 6995 ref nil cons 7092 def cons 912 ref cons nil cons cons 7093 def 1030 ref subst 7094 def eqMp nil 59 ref 7090 remove cons 60 ref 7083 remove nil cons cons nil cons cons nil cons cons 132 ref subst 7095 def proveHyp 134 ref 135 ref 7082 remove nil cons cons 903 ref cons nil cons cons 163 ref subst 7096 def eqMp eqMp subst eqMp eqMp nil 59 ref 7061 ref 7058 ref appTerm nil cons cons 60 ref 7060 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 7058 remove nil cons cons nil cons nil cons cons 879 ref 64 ref 7061 remove 883 ref appTerm appTerm 6986 remove 883 ref appTerm appTerm absTerm 7097 def 883 ref appTerm 7098 def betaConv 7024 ref 34 ref appTerm 7099 def betaConv nil 107 ref 7021 remove nil cons cons 109 ref 7025 remove nil cons 7100 def cons nil cons cons nil cons cons 687 ref subst nil 59 ref 7100 remove cons 60 ref 7099 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7024 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7023 remove nil cons cons 60 ref 22 ref 7097 ref appTerm nil cons 7101 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 7 ref 7022 remove nil cons 7102 def cons 23 ref 3334 remove cons nil cons cons nil cons cons 1030 ref subst eqMp nil 59 ref 7101 remove cons 60 ref 7098 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7097 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 7004 remove nil cons cons 136 ref 7057 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 7052 remove cons 109 ref 7012 remove cons nil cons 7103 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7047 remove cons 7104 def 7103 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 7001 ref 1065 ref appTerm appTerm 7105 def 7005 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7002 ref appTerm 7106 def 7005 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7001 ref nil cons 7107 def cons 7108 def 7103 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 7041 remove cons 7103 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7034 remove cons 7103 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 7008 ref 1065 ref appTerm appTerm 7005 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7009 remove appTerm 7005 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7008 remove nil cons cons 7103 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 7026 remove cons 7103 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7019 remove cons 7103 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 7006 ref 1065 ref appTerm appTerm 7005 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7007 remove appTerm 7005 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7006 remove nil cons cons 7103 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 7011 remove cons 7103 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 59 ref 705 ref 6975 ref appTerm 7109 def nil cons 7110 def cons 7111 def 60 ref 705 ref 6966 ref appTerm nil cons 7112 def cons nil cons cons nil cons cons 7113 def 132 ref subst proveHyp 7113 ref 81 ref subst 7113 remove 152 ref subst nil 243 ref 6966 remove nil cons cons 7114 def nil cons nil cons cons 727 ref subst 236 ref nil 94 ref 6965 remove nil cons 7115 def cons nil cons nil cons cons 101 ref subst nil 243 ref 6963 remove nil cons cons 7116 def nil cons nil cons cons 727 ref subst 3000 ref nil 94 ref 6962 remove nil cons cons nil cons nil cons cons 101 ref subst 6960 ref 81 ref subst 6960 remove 152 ref subst nil 7111 ref 6942 ref cons nil cons cons 7117 def 132 ref subst nil 6959 remove 60 ref 64 ref 7109 remove appTerm 6903 ref appTerm 7118 def nil cons 7119 def cons nil cons 7120 def cons nil cons cons 132 ref subst nil 243 ref 219 ref 64 ref 6948 ref appTerm 7118 ref appTerm 7121 def absTerm 7122 def nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 7121 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6948 ref nil cons 7123 def cons 7120 ref cons nil cons cons 7124 def 81 ref subst 7124 remove 152 ref subst 6949 remove 6948 remove assume eqMp nil 59 ref 6946 ref nil cons cons 7120 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 307 ref 64 ref 6950 ref appTerm 7118 ref appTerm 7125 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 7125 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 6950 ref nil cons 7126 def cons 7120 ref cons nil cons cons 7127 def 81 ref subst 7127 remove 152 ref subst 6951 remove 6950 remove assume eqMp nil 59 ref 6944 remove nil cons 7128 def cons 7129 def 7120 remove cons nil cons cons 7130 def 132 ref subst proveHyp 7130 ref 81 ref subst 7130 remove 152 ref subst 7117 ref 81 ref subst 7117 remove 152 ref subst nil 7129 remove 6942 remove cons nil cons cons 132 ref subst 6969 remove 3001 ref appTerm 7131 def betaConv 6971 remove 320 ref appTerm 7132 def betaConv 6973 remove 237 ref appTerm 7133 def betaConv 6975 remove 233 ref appTerm 7134 def betaConv nil 7111 remove 60 ref 7134 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 6976 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6977 remove cons 60 ref 7133 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 6978 remove 3285 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6979 remove cons 60 ref 7132 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 6980 remove 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6981 remove cons 60 ref 7131 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 6982 remove 3365 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 7110 remove cons 7135 def 109 ref 6941 ref cons nil cons 7136 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 7128 remove cons 109 ref 7119 remove cons nil cons 7137 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7126 remove cons 7137 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 3345 ref 64 ref 6945 remove 3346 ref appTerm appTerm 7118 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 6946 remove appTerm 7118 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 6955 remove 7137 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 7123 remove cons 7137 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 7122 remove appTerm nil cons cons 60 ref 6961 remove 7118 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 6956 remove 7137 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 6958 remove cons 7136 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 7135 remove 109 ref 7112 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 7112 remove cons 60 ref 6967 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 7114 remove 3285 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7115 remove cons 60 ref 6964 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 7116 remove 3365 ref cons nil cons cons 163 ref subst eqMp eqMp 7138 def eqMp eqMp nil 107 ref 6901 ref cons 7139 def 7136 remove cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 64 ref 6770 ref appTerm 7140 def 6903 ref appTerm nil cons cons 60 ref 64 ref 6903 ref appTerm 6770 ref appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 6941 ref cons 60 ref 6901 ref cons nil cons 7141 def cons nil cons cons 7142 def 81 ref subst 7142 remove 152 ref subst 236 ref 218 ref 3000 ref 70 ref 238 remove 233 ref appTerm appTerm 70 ref 4646 ref 320 ref appTerm 7143 def appTerm 6903 ref appTerm appTerm absTerm 7144 def appTerm absTerm 7145 def 237 ref appTerm betaConv sym 7144 ref 3001 ref appTerm betaConv sym 652 ref nil 728 ref 3285 ref cons nil cons cons 806 ref subst appThm 652 ref nil 3365 ref nil cons cons 806 ref subst appThm 6903 ref refl appThm appThm sym 6952 remove 6953 remove nil 94 ref 6941 ref cons nil cons nil cons cons 101 ref subst 6903 ref assume eqMp appThm 875 ref trans appThm 875 ref trans sym 100 ref eqMp eqMp eqMp 242 ref 243 ref 7144 remove nil cons cons 3365 ref cons nil cons cons 279 ref subst proveHyp eqMp 242 ref 243 ref 7145 ref nil cons cons 3285 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 7145 remove appTerm nil cons cons 7141 ref cons nil cons cons 132 ref subst proveHyp 3363 ref 7138 remove subst eqMp eqMp nil 107 ref 6941 remove cons 109 ref 6901 ref cons nil cons 7146 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 6316 remove 109 ref 6938 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp 7147 def eqMp 6936 remove 123 ref subst trans eqMp nil 107 ref 6933 remove cons 7148 def 109 ref 6920 ref cons nil cons 7149 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 6930 remove cons 7149 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 3345 remove 64 ref 6910 ref 3346 remove appTerm appTerm 6773 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 6911 remove appTerm 6773 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 6910 remove nil cons cons 7150 def 7149 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 6925 remove cons 7149 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 6924 remove appTerm nil cons cons 60 ref 64 ref 6913 ref appTerm 6773 ref appTerm nil cons 7151 def cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 6912 remove nil cons cons 7152 def 7149 remove cons nil cons cons 1090 ref subst eqMp nil 59 ref 7151 remove cons 60 ref 64 ref 6773 remove appTerm 6913 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 6920 ref cons 7153 def 60 ref 6919 ref cons nil cons 7154 def cons nil cons cons 7155 def 81 ref subst 7155 remove 152 ref subst nil 7153 remove 3356 remove cons nil cons cons 152 ref subst 3360 remove eqMp nil 59 ref 6774 remove 3355 remove appTerm nil cons cons 7154 ref cons nil cons cons 132 ref subst proveHyp 3363 remove nil 6934 remove 7154 remove cons nil cons cons 7156 def 81 ref subst 7156 remove 152 ref subst 6927 remove sym 6932 remove sym 6909 remove assume eqMp 242 ref 7150 remove 3365 remove cons nil cons cons 279 ref subst proveHyp eqMp 242 ref 7152 remove 3285 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 7148 remove 109 ref 6919 remove cons nil cons 7157 def cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 107 ref 6920 remove cons 7157 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm appThm trans eqMp eqMp 7158 def subst absThm appThm 111 ref 706 ref 219 ref "_16723" 285 ref var 7159 def 6778 ref 7159 remove varTerm 7160 def appTerm 7160 remove appTerm absTerm 7161 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 6897 remove absThm appThm appThm nil 659 ref 7161 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans 706 ref 219 ref 729 remove 6983 ref subst 48 ref 21 ref 49 ref 7 ref nil 741 ref 912 ref cons nil cons cons 4732 ref subst absThm appThm 203 ref trans absThm appThm 209 ref trans trans absThm appThm 3120 ref trans sym 100 ref eqMp eqMp nil 59 ref 416 ref 6895 ref appTerm nil cons cons 60 ref 6896 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 6895 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 7162 def subst trans trans eqMp nil 685 remove 109 ref 6871 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 3888 ref 6870 remove appTerm nil cons cons 60 ref 63 ref 3873 remove 6868 ref appTerm appTerm 7163 def 3888 ref 86 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 4035 ref 609 ref nil 59 ref 63 ref 644 ref appTerm 7164 def 633 remove appTerm nil cons cons 60 ref 64 ref 3888 ref 6869 remove 4037 ref appTerm 7165 def appTerm appTerm 7163 ref 3888 remove 4037 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4039 ref 634 ref cons nil cons nil cons cons 4034 ref 64 ref 7164 remove 4040 ref appTerm appTerm 64 ref 4041 ref 7165 remove appTerm appTerm 7163 remove 4042 ref appTerm appTerm appTerm absTerm 7166 def 4037 ref appTerm 7167 def betaConv 4039 ref 194 ref 7166 ref appTerm 7168 def absTerm 7169 def 4040 ref appTerm 7170 def betaConv nil 60 ref 6868 ref nil cons cons 59 ref 644 remove nil cons cons nil cons cons nil cons cons 4116 ref subst nil 59 ref 194 ref 7169 ref appTerm nil cons cons 60 ref 7170 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 7169 remove nil cons cons 4117 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7168 remove nil cons cons 60 ref 7167 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 7166 remove nil cons cons 4118 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp subst eqMp nil 94 ref 634 remove cons nil cons nil cons cons 1696 ref subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp nil 59 ref 291 ref 6860 remove appTerm nil cons cons 60 ref 6861 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 6863 remove cons 388 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6859 remove nil cons cons 60 ref 6858 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 6857 remove nil cons cons 3650 ref cons nil cons cons 163 ref subst eqMp eqMp 7171 def subst eqMp eqMp eqMp 385 ref 386 ref 6848 ref nil cons cons 3717 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 378 ref 6848 remove appTerm nil cons cons 60 ref 6836 remove 3659 ref appTerm nil cons 7172 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 562 ref 3720 remove cons 7173 def 3909 ref cons nil cons cons 562 ref 64 ref 378 ref 294 ref 70 ref 6856 ref appTerm 7174 def 6844 ref 563 ref appTerm 7175 def appTerm 7176 def absTerm 7177 def appTerm 7178 def appTerm 7179 def 6855 ref 563 ref appTerm 7180 def appTerm 7181 def absTerm 7182 def 563 ref appTerm 7183 def betaConv 293 ref 291 ref 7182 ref appTerm 7184 def absTerm 7185 def 354 ref appTerm 7186 def betaConv 111 ref 292 ref 293 ref 293 ref 291 ref 294 ref 291 ref 562 ref 64 ref 7176 ref appTerm 7180 ref appTerm absTerm 7187 def appTerm 7188 def absTerm 7189 def appTerm 7190 def absTerm 7191 def 354 ref appTerm 7192 def betaConv 7193 def absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 7191 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 7191 ref nil cons 7194 def cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 291 ref 562 ref 64 ref 70 ref 6866 ref appTerm 7195 def 7175 ref appTerm appTerm 6865 remove 563 ref appTerm 7196 def appTerm absTerm appTerm absTerm 7197 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 7197 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 7197 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 111 ref 292 ref 562 ref 562 ref 64 ref 70 ref 6868 remove appTerm 6784 ref 603 ref appTerm 563 ref appTerm 7198 def appTerm appTerm 7196 remove appTerm absTerm 7199 def 563 ref appTerm betaConv absThm appThm appThm 417 ref 646 ref 417 ref 647 ref 7199 ref 650 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 7199 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 646 ref 417 ref 647 ref 651 ref 652 ref 6891 ref appThm 7200 def 657 remove 6890 ref subst 7201 def appThm appThm 658 remove 6890 ref subst appThm absThm appThm absThm appThm trans absThm appThm absThm appThm trans absThm appThm absThm appThm trans sym nil 659 ref 418 ref 416 ref 419 ref 416 ref 599 ref 416 ref 600 ref 416 ref 646 ref 416 ref 647 ref 64 ref 70 ref 6778 ref 612 remove appTerm 615 remove appTerm appTerm 6778 ref 660 remove appTerm 662 remove appTerm 7202 def appTerm 7203 def appTerm 6778 ref 665 remove appTerm 666 remove appTerm 7204 def appTerm 7205 def absTerm 7206 def appTerm 7207 def absTerm 7208 def appTerm 7209 def absTerm 7210 def appTerm 7211 def absTerm 7212 def appTerm 7213 def absTerm 7214 def appTerm 7215 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 418 ref nil 94 ref 7215 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 7214 remove nil cons cons nil cons nil cons cons 679 ref subst 419 ref nil 94 ref 7213 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 7212 remove nil cons cons nil cons nil cons cons 679 ref subst 599 ref nil 94 ref 7211 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 7210 remove nil cons cons nil cons nil cons cons 679 ref subst 600 ref nil 94 ref 7209 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 7208 remove nil cons cons nil cons nil cons cons 679 ref subst 646 ref nil 94 ref 7207 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 7206 remove nil cons cons nil cons nil cons cons 679 ref subst 647 ref nil 94 ref 7205 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7203 remove nil cons 7216 def cons 7217 def 60 ref 7204 ref nil cons 7218 def cons nil cons 7219 def cons nil cons cons 7220 def 81 ref subst 7220 remove 152 ref subst nil 7217 remove 60 ref 6778 ref 688 remove appTerm 689 remove appTerm nil cons 7221 def cons nil cons cons nil cons cons 132 ref subst nil 6392 ref 3496 remove cons 6394 ref 691 remove cons 419 ref 616 ref cons 418 ref 613 remove cons nil cons cons cons cons nil cons cons 651 ref 652 ref nil 6404 remove nil cons cons nil 59 ref 6778 ref 3507 ref appTerm 7222 def 3509 ref appTerm 7223 def nil cons 7224 def cons 60 ref 1109 ref 6392 ref 3516 ref 3508 remove 6400 ref appTerm 7225 def appTerm 7226 def absTerm 7227 def appTerm 7228 def nil cons cons nil cons cons nil cons cons 1845 ref subst 6405 remove nil 94 ref 64 ref 6917 ref appTerm 1109 ref 6392 ref 3526 ref 693 ref 6400 ref appTerm 7229 def appTerm absTerm 7230 def appTerm 7231 def appTerm 7232 def nil cons cons nil cons nil cons cons 101 ref subst 303 ref 7232 remove absTerm 7233 def 331 ref appTerm 7234 def betaConv 302 ref 416 ref 7233 ref appTerm 7235 def absTerm 7236 def 328 ref appTerm 7237 def betaConv 7238 def 706 ref 219 ref 706 ref 307 ref 651 ref 7158 ref appThm 218 ref refl 7239 def "d" 214 ref var 7240 def nil 307 ref 319 ref 7240 ref varTerm 7241 def appTerm 7242 def nil cons cons 783 ref cons nil cons cons 2989 ref subst 3543 ref refl nil 307 ref 7241 ref nil cons 7243 def cons 7244 def nil cons nil cons cons 3367 ref subst appThm trans absThm appThm 111 ref 7239 ref 7240 ref "_16767" 285 ref var 7245 def 3543 remove 2991 ref 7245 remove varTerm appTerm appTerm absTerm 7246 def 305 ref 232 ref 7241 ref appTerm 7247 def appTerm appTerm betaConv absThm appThm appThm 1109 ref refl 7248 def 6392 ref 7246 ref 6400 ref appTerm betaConv absThm appThm appThm nil 659 ref 7246 remove nil cons cons nil cons nil cons cons 1111 ref 1103 remove appTerm 7249 def betaConv 3373 remove 3375 remove 687 ref subst proveHyp nil 107 ref 1112 remove nil cons 7250 def cons 109 ref 1114 remove nil cons cons nil cons cons nil cons cons 123 ref subst proveHyp nil 59 ref 7250 remove cons 60 ref 7249 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3376 ref 3377 ref 1111 remove nil cons cons 3379 remove cons nil cons cons 163 ref subst eqMp eqMp 7251 def subst eqMp trans appThm absThm appThm 111 ref 706 ref 307 ref "_16769" 285 ref var 7252 def 64 ref 6898 ref 7252 remove varTerm 7253 def appTerm appTerm 1109 ref 6392 ref 365 ref 7253 remove appTerm 2991 ref 6400 ref appTerm appTerm absTerm appTerm appTerm absTerm 7254 def 717 ref appTerm betaConv absThm appThm appThm 417 ref 303 ref 7254 ref 331 ref appTerm betaConv absThm appThm appThm nil 659 ref 7254 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref "_16771" 285 ref var 7255 def 416 ref 303 ref 64 ref 6778 ref 7255 remove varTerm 7256 def appTerm 331 ref appTerm appTerm 1109 ref 6392 ref 3526 ref 338 ref 7256 remove appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm 7257 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 7238 remove absThm appThm appThm nil 659 ref 7257 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 705 ref 307 ref 7140 remove 218 ref 7240 ref 716 ref 7242 remove appTerm absTerm 7258 def appTerm 7259 def appTerm 7260 def absTerm 7261 def appTerm 7262 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 7262 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 7261 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 7260 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref 6983 ref appThm 7259 ref refl 7263 def appThm sym nil 135 ref 21 ref 7045 remove 7259 ref appTerm 7264 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 7264 remove nil cons cons nil cons nil cons cons 101 ref subst nil 7048 remove 60 ref 7259 ref nil cons 7265 def cons nil cons 7266 def cons nil cons cons 7267 def 81 ref subst 7267 remove 152 ref subst 7051 remove nil 7053 remove 7266 ref cons nil cons cons 132 ref subst proveHyp 651 ref 49 ref 7 ref 7093 ref 5559 remove subst absThm appThm 111 ref 49 ref 7 ref 48 ref 5547 ref 7 ref 5547 ref 55 ref 6995 ref appTerm 7268 def 3071 ref 5548 ref appTerm appTerm absTerm 7269 def absTerm 7270 def 34 ref appTerm betaConv 7271 def 5673 remove appThm 7269 ref 5548 ref appTerm betaConv trans absThm appThm absThm appThm appThm 15 ref 3104 remove constTerm 7272 def refl 7273 def "f" 5 ref var 7274 def 49 ref 7 ref 7271 remove 7274 ref varTerm 34 ref appTerm 7275 def refl 7276 def appThm 7269 remove 7275 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 25 ref var 7277 def 7270 remove nil cons cons nil cons nil cons cons 3114 remove 134 ref cons 189 ref cons 7278 def 1559 ref subst 7279 def subst eqMp trans appThm 7263 remove appThm sym nil 3107 ref "d" 5 ref var 7280 def 64 ref 7274 ref 22 ref 7 ref 7268 ref 3071 ref 7275 ref appTerm appTerm absTerm appTerm absTerm 7281 def 7280 ref varTerm 7282 def appTerm 7283 def appTerm 7259 ref appTerm 7284 def absTerm nil cons cons nil cons nil cons cons 3110 ref subst 7280 remove nil 94 ref 7284 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7283 ref nil cons 7285 def cons 7266 ref cons nil cons cons 7286 def 81 ref subst 7286 remove 152 ref subst 7283 ref betaConv 7283 remove assume eqMp nil 59 ref 22 ref 7 ref 7268 remove 3071 ref 7282 ref 34 ref appTerm 7287 def appTerm 7288 def appTerm 7289 def absTerm appTerm 7290 def nil cons 7291 def cons 7266 remove cons nil cons cons 7292 def 132 ref subst proveHyp 7292 ref 81 ref subst 7292 remove 152 ref subst 7258 ref 310 ref 7282 ref appTerm 7293 def appTerm betaConv sym nil 307 ref 319 ref 7293 ref appTerm nil cons cons 783 ref cons nil cons cons 731 ref subst 48 ref 21 ref 49 ref 7 ref 50 ref 821 ref refl 7294 def nil 307 ref 7293 ref nil cons 7295 def cons nil cons nil cons cons 3281 ref subst 3282 ref appThm 7 ref 3071 ref 224 ref 7293 remove appTerm 7296 def 34 ref appTerm appTerm 7297 def absTerm 34 ref appTerm betaConv trans appThm appThm 739 ref appThm absThm appThm absThm appThm trans sym 21 ref 22 ref 7 ref 26 ref 821 ref 7297 remove appTerm appTerm 36 ref appTerm 7298 def absTerm 7299 def appTerm absTerm 7300 def 36 ref appTerm betaConv sym nil 135 ref 7299 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 7298 remove nil cons cons nil cons nil cons cons 101 ref subst nil 3074 ref 7282 ref nil cons 7301 def cons nil cons nil cons cons 3080 ref subst nil 6 ref 7301 remove cons nil cons nil cons cons 47 ref subst trans sym 3124 ref nil 3125 ref 60 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 26 ref 29 ref 32 ref 7287 ref appTerm 7302 def appTerm 35 ref 7282 ref 31 ref appTerm 7303 def appTerm 7304 def appTerm appTerm 7305 def 41 ref appTerm absTerm appTerm absTerm appTerm absTerm 7306 def appTerm 7307 def nil cons 7308 def cons nil cons 7309 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 837 ref 3134 ref 7307 ref appTerm 7310 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 7310 remove nil cons cons nil cons nil cons cons 101 ref subst nil 3137 ref 7309 ref cons nil cons cons 7311 def 81 ref subst 7311 remove 152 ref subst 3139 ref nil 3148 ref 7309 ref cons nil cons cons 7312 def 132 ref subst proveHyp 7312 ref 81 ref subst 7312 remove 152 ref subst 3151 ref nil 3158 ref 7309 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 849 ref 3160 ref 7307 ref appTerm 7313 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 7313 remove nil cons cons nil cons nil cons cons 101 ref subst nil 3163 ref 7309 ref cons nil cons cons 7314 def 81 ref subst 7314 remove 152 ref subst 3165 ref nil 3174 ref 7309 remove cons nil cons cons 7315 def 132 ref subst proveHyp 7315 ref 81 ref subst 7315 remove 152 ref subst 7306 ref 860 ref 7056 ref appTerm 7316 def appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 7305 remove 30 ref 7316 ref appTerm 40 ref appTerm 7317 def appTerm 7318 def absTerm 7319 def appTerm 7320 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 7320 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 7319 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 7318 remove nil cons 7321 def cons nil cons nil cons cons 101 ref subst 864 ref 20 ref 876 ref 26 ref 38 ref 29 ref 38 ref 7302 ref appTerm 7322 def 865 ref appTerm appTerm 38 ref 7304 ref appTerm 7323 def 886 ref appTerm 7324 def appTerm appTerm 866 ref 886 ref appTerm appTerm appTerm 7317 ref appTerm absTerm appTerm absTerm 7325 def 3082 ref appTerm betaConv sym 876 ref 26 ref 38 ref 29 ref 7322 remove 3082 ref appTerm appTerm 7326 def 7324 remove appTerm appTerm 3083 remove 886 ref appTerm appTerm appTerm 7317 ref appTerm absTerm 7327 def 3085 ref appTerm betaConv sym 26 ref 38 ref 7326 remove 7323 remove 3085 ref appTerm appTerm 7328 def appTerm 3086 ref appTerm appTerm 7329 def refl 7330 def nil 3206 ref 7062 remove 3209 ref cons cons nil cons cons 3225 ref subst appThm sym 7330 remove nil 7 ref 30 ref 7056 remove appTerm 40 ref appTerm 7331 def nil cons 7332 def cons 23 ref 3233 ref cons nil cons cons nil cons cons 3410 ref subst appThm sym 70 ref 26 ref 7328 ref appTerm 7331 ref appTerm 7333 def appTerm 7334 def refl 3228 ref appThm nil 94 ref 7333 remove nil cons cons nil cons nil cons cons 1385 ref subst trans sym 50 ref 51 ref nil 5717 ref 23 ref 7302 remove nil cons cons nil cons 7335 def cons nil cons cons 3410 ref subst appThm nil 7 ref 3243 ref cons 7336 def 23 ref 7304 remove nil cons 7337 def cons nil cons cons nil cons cons 3410 ref subst appThm appThm 4803 ref nil 741 ref 6265 remove cons nil cons cons 3410 ref subst appThm 3410 ref appThm appThm sym 50 ref 51 ref nil 879 ref 7287 remove nil cons cons 736 ref cons nil cons cons 6095 ref subst 52 ref 7 ref 55 ref 7288 ref appTerm 6995 ref appTerm 7338 def absTerm 7339 def 34 ref appTerm 7340 def betaConv 49 ref 7 ref 7338 remove assume sym 7289 remove assume sym deductAntisym absThm appThm 7290 remove assume eqMp nil 59 ref 22 ref 7339 ref appTerm nil cons cons 60 ref 7340 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7339 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 7341 def appThm trans appThm nil 879 ref 7303 remove nil cons cons 3203 ref cons nil cons cons 6095 ref subst 165 ref 4919 ref 7341 ref subst appThm trans appThm appThm 30 ref 5248 ref 850 ref appTerm appTerm 3393 ref appTerm 7342 def refl 7343 def appThm sym 50 ref 51 ref nil 5238 ref 5790 ref cons nil cons cons 3199 ref subst appThm nil 5238 ref 5802 ref cons nil cons cons 3199 ref subst appThm appThm 7343 remove appThm sym 26 ref 38 ref 3154 remove appTerm 29 ref 5250 ref appTerm 5252 ref appTerm 7344 def appTerm appTerm 7345 def refl 7346 def nil 879 ref 3393 ref nil cons cons 7347 def 3207 ref 5254 ref cons cons nil cons cons 3225 ref subst appThm sym 7346 remove nil 7 ref 3166 ref 3393 ref appTerm 7348 def nil cons 7349 def cons 23 ref 37 ref 3393 ref appTerm 7350 def nil cons 7351 def cons nil cons cons nil cons cons 3410 ref subst appThm sym 652 ref 3155 ref refl 3166 ref refl 4285 remove 3410 ref subst 7352 def appThm appThm appThm 26 ref 7344 ref appTerm 7353 def refl 5500 remove 7352 remove appThm appThm appThm sym 652 ref 3231 remove appThm 7353 ref 41 ref appTerm 7354 def refl appThm nil 94 ref 7354 remove nil cons cons nil cons nil cons cons 874 ref subst trans sym 50 ref 51 ref 5264 remove appThm 5266 remove appThm appThm 178 ref appThm sym 50 ref 5259 remove 879 ref 55 ref 4783 remove appTerm 4782 remove appTerm 7355 def absTerm 7356 def 883 ref appTerm 7357 def betaConv 7 ref 22 ref 7356 ref appTerm 7358 def absTerm 7359 def 34 ref appTerm 7360 def betaConv 23 ref 22 ref 7359 ref appTerm 7361 def absTerm 7362 def 31 ref appTerm 7363 def betaConv 49 ref 23 ref 49 ref 7 ref 49 ref 879 ref 7355 remove assume sym 4784 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 4794 remove eqMp nil 59 ref 22 ref 7362 ref appTerm nil cons cons 60 ref 7363 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7362 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7361 remove nil cons cons 60 ref 7360 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7359 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7358 remove nil cons cons 60 ref 7357 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7356 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 7364 def subst appThm 178 ref appThm nil 3206 ref 7 ref 5732 ref cons 5254 ref cons cons nil cons cons 5820 ref subst 6098 remove nil 94 ref 5730 remove cons nil cons nil cons cons 101 ref subst 5729 remove eqMp 7365 def appThm 6100 remove trans trans trans sym 100 ref eqMp eqMp eqMp eqMp nil 59 ref 70 ref 3155 remove 7348 ref appTerm appTerm 7353 remove 7350 ref appTerm appTerm nil cons cons 60 ref 7345 ref 38 ref 7348 remove appTerm 7350 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 7351 remove cons 879 ref 7349 remove cons 7 ref 7344 remove nil cons cons 23 ref 3235 remove cons nil cons cons cons cons nil cons cons 905 ref subst eqMp eqMp eqMp nil 59 ref 7345 remove 7342 ref appTerm nil cons cons 60 ref 26 ref 29 ref 38 ref 3152 ref appTerm 7366 def 5250 ref appTerm appTerm 38 ref 3153 ref appTerm 7367 def 5252 ref appTerm appTerm appTerm 7342 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 906 ref 7342 remove nil cons cons 876 ref 5252 remove nil cons cons 879 ref 3241 ref cons 7 ref 5250 remove nil cons cons 5811 remove cons cons cons cons nil cons cons 3269 remove subst eqMp eqMp eqMp eqMp eqMp nil 59 ref 7334 remove 3142 remove appTerm nil cons cons 60 ref 7329 remove 38 ref 7331 remove appTerm 3141 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 3233 remove cons 879 ref 7332 remove cons 7 ref 3237 remove cons 7368 def 23 ref 7328 remove nil cons cons nil cons cons cons cons nil cons cons 905 ref subst eqMp eqMp eqMp eqMp 134 ref 135 ref 7327 remove nil cons cons 136 ref 3243 ref cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 7325 ref nil cons cons 136 ref 3246 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 7325 remove appTerm nil cons cons 60 ref 7321 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 906 ref 7317 remove nil cons cons 879 ref 7337 remove cons 7335 remove cons cons nil cons cons 906 ref 64 ref 20 ref 7 ref 20 ref 876 ref 26 ref 38 ref 3251 remove appTerm 3248 ref appTerm 7369 def appTerm 916 ref appTerm 7370 def absTerm 7371 def appTerm 7372 def absTerm 7373 def appTerm 7374 def appTerm 7375 def 923 ref appTerm 7376 def absTerm 7377 def 916 ref appTerm 7378 def betaConv 879 ref 22 ref 7377 ref appTerm 7379 def absTerm 7380 def 883 ref appTerm 7381 def betaConv 23 ref 22 ref 7380 ref appTerm 7382 def absTerm 7383 def 31 ref appTerm 7384 def betaConv nil 135 ref 7 ref 22 ref 876 ref 22 ref 23 ref 22 ref 879 ref 22 ref 906 ref 64 ref 7370 ref appTerm 923 ref appTerm absTerm 7385 def appTerm 7386 def absTerm 7387 def appTerm 7388 def absTerm 7389 def appTerm 7390 def absTerm 7391 def appTerm 7392 def absTerm 7393 def nil cons cons 7394 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 7392 remove nil cons 7395 def cons nil cons nil cons cons 101 ref subst nil 135 ref 7391 ref nil cons cons 7396 def nil cons nil cons cons 841 ref subst 876 ref nil 94 ref 7390 remove nil cons 7397 def cons nil cons nil cons cons 101 ref subst nil 135 ref 7389 ref nil cons cons 7398 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 7388 remove nil cons 7399 def cons nil cons nil cons cons 101 ref subst nil 135 ref 7387 ref nil cons cons 7400 def nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 7386 remove nil cons 7401 def cons nil cons nil cons cons 101 ref subst 876 ref 922 ref 7369 ref appTerm 7402 def absTerm 7403 def 886 ref appTerm 7404 def betaConv 879 ref 22 ref 7403 ref appTerm 7405 def absTerm 7406 def 883 ref appTerm 7407 def betaConv 7 ref 22 ref 7406 ref appTerm 7408 def absTerm 7409 def 34 ref appTerm 7410 def betaConv 23 ref 22 ref 7409 ref appTerm 7411 def absTerm 7412 def 31 ref appTerm 7413 def betaConv nil 22 ref 7412 ref appTerm 7414 def axiom nil 59 ref 7414 remove nil cons cons 60 ref 7413 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7412 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7411 remove nil cons cons 60 ref 7410 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7409 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7408 remove nil cons cons 60 ref 7407 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7406 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7405 remove nil cons cons 60 ref 7404 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7403 remove nil cons cons 904 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7402 remove nil cons cons 60 ref 7401 ref cons nil cons cons nil cons cons 132 ref subst proveHyp nil 7 ref 7369 remove nil cons cons 956 remove cons nil cons cons 1030 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 59 ref 22 ref 7393 ref appTerm 7415 def nil cons 7416 def cons 7417 def 60 ref 22 ref 7383 ref appTerm nil cons 7418 def cons nil cons cons nil cons cons 7419 def 132 ref subst proveHyp 7419 ref 81 ref subst 7419 remove 152 ref subst nil 135 ref 7383 remove nil cons cons 7420 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 7382 remove nil cons 7421 def cons nil cons nil cons cons 101 ref subst nil 135 ref 7380 remove nil cons cons 7422 def nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 7379 remove nil cons 7423 def cons nil cons nil cons cons 101 ref subst nil 135 ref 7377 remove nil cons cons 7424 def nil cons nil cons cons 841 ref subst 906 remove nil 94 ref 7376 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7374 remove nil cons 7425 def cons 7426 def 1044 ref cons nil cons cons 7427 def 81 ref subst 7427 remove 152 ref subst nil 7417 ref 1044 ref cons nil cons cons 7428 def 132 ref subst nil 7426 remove 60 ref 64 ref 7415 remove appTerm 923 remove appTerm 7429 def nil cons 7430 def cons nil cons 7431 def cons nil cons cons 132 ref subst nil 135 ref 7 ref 64 ref 7373 ref 34 ref appTerm 7432 def appTerm 7429 ref appTerm 7433 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 7433 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7432 ref nil cons 7434 def cons 7431 ref cons nil cons cons 7435 def 81 ref subst 7435 remove 152 ref subst 7432 ref betaConv 7432 remove assume eqMp nil 59 ref 7372 ref nil cons cons 7431 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 876 ref 64 ref 7371 ref 886 ref appTerm 7436 def appTerm 7429 ref appTerm 7437 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 876 ref nil 94 ref 7437 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7436 ref nil cons 7438 def cons 7431 ref cons nil cons cons 7439 def 81 ref subst 7439 remove 152 ref subst 7436 ref betaConv 7436 remove assume eqMp nil 59 ref 7370 remove nil cons 7440 def cons 7441 def 7431 remove cons nil cons cons 7442 def 132 ref subst proveHyp 7442 ref 81 ref subst 7442 remove 152 ref subst 7428 ref 81 ref subst 7428 remove 152 ref subst nil 7441 remove 1044 remove cons nil cons cons 132 ref subst 7385 ref 916 remove appTerm 7443 def betaConv 7387 remove 883 ref appTerm 7444 def betaConv 7389 remove 31 ref appTerm 7445 def betaConv 7391 remove 886 ref appTerm 7446 def betaConv 7393 remove 34 ref appTerm 7447 def betaConv nil 7417 remove 60 ref 7447 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 7394 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7395 remove cons 60 ref 7446 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 7396 remove 904 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7397 remove cons 60 ref 7445 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 7398 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7399 remove cons 60 ref 7444 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 7400 remove 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7401 remove cons 60 ref 7443 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7385 remove nil cons cons 1061 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 7416 remove cons 7448 def 1063 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 7440 remove cons 109 ref 7430 remove cons nil cons 7449 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7438 remove cons 7449 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 7371 ref 1065 ref appTerm appTerm 7429 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7372 remove appTerm 7429 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7371 remove nil cons cons 7449 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 7434 remove cons 7449 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 7373 ref 1065 ref appTerm appTerm 7429 ref appTerm absTerm appTerm nil cons cons 60 ref 7375 remove 7429 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7373 remove nil cons cons 7449 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 7425 remove cons 1063 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 7448 remove 109 ref 7418 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 7418 remove cons 60 ref 7384 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 7420 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7421 remove cons 60 ref 7381 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 7422 remove 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7423 remove cons 60 ref 7378 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 7424 remove 1061 remove cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 7306 remove nil cons cons 136 ref 7316 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 3270 ref 109 ref 7308 remove cons nil cons 7450 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 3272 ref 7450 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3273 ref 7307 ref appTerm absTerm appTerm nil cons cons 60 ref 3274 ref 7307 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3275 ref 7450 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 3276 ref 7450 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 3277 ref 7450 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3278 ref 7307 ref appTerm absTerm appTerm nil cons cons 60 ref 3279 ref 7307 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3280 ref 7450 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp 63 ref "_16462" 5 ref var 7451 def 26 ref 821 ref 3071 ref 7451 remove varTerm 34 ref appTerm appTerm appTerm appTerm 36 ref appTerm absTerm 7452 def 7296 ref appTerm 7453 def appTerm refl 7452 ref 7282 ref appTerm betaConv appThm 111 ref 7453 remove betaConv appThm 26 ref 821 remove 7288 remove appTerm appTerm 36 ref appTerm refl appThm trans 7452 remove refl 3067 ref 7296 remove appTerm 7282 remove appTerm assume appThm eqMp sym 50 ref 7294 remove 7341 remove appThm nil 741 ref 794 ref cons 7454 def nil cons cons 7 ref 55 ref 796 remove 40 ref appTerm appTerm 34 ref appTerm absTerm 7455 def 34 ref appTerm 7456 def betaConv 23 ref 22 ref 7455 ref appTerm 7457 def absTerm 7458 def 31 ref appTerm 7459 def betaConv nil 22 ref 7458 ref appTerm 7460 def axiom nil 59 ref 7460 remove nil cons cons 60 ref 7459 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7458 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7457 remove nil cons cons 60 ref 7456 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7455 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 7461 def subst trans appThm 739 ref appThm 743 remove 5451 ref subst trans sym 100 ref eqMp eqMp proveHyp eqMp absThm eqMp eqMp 134 ref 135 ref 7300 remove nil cons cons 5523 ref cons nil cons cons 279 ref subst proveHyp eqMp eqMp 242 ref 243 ref 7258 remove nil cons cons 219 ref 7295 remove cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 7291 remove cons 109 ref 7265 remove cons nil cons 7462 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7285 remove cons 7462 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 3105 ref 6 ref 64 ref 7281 ref 13 ref appTerm appTerm 7259 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7272 ref 7281 ref appTerm appTerm 7259 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3108 ref 3107 ref 7281 remove nil cons cons 7462 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 7104 remove 7462 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 7105 ref 7259 ref appTerm absTerm appTerm nil cons cons 60 ref 7106 ref 7259 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 7108 ref 7462 remove cons nil cons cons 1090 ref subst eqMp eqMp 7463 def eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 416 ref 7236 ref appTerm nil cons cons 60 ref 7237 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7236 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7235 remove nil cons cons 60 ref 7234 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7233 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp 7464 def eqMp subst sym 100 ref eqMp nil 59 ref 64 ref 7223 ref appTerm 7228 ref appTerm nil cons cons 60 ref 64 ref 7228 remove appTerm 7223 ref appTerm nil cons cons nil cons 7465 def cons nil cons cons 152 ref subst proveHyp nil 659 ref 6392 ref 64 ref 7227 ref 6400 ref appTerm 7466 def appTerm 7223 ref appTerm 7467 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 6392 ref nil 94 ref 7467 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7466 ref nil cons 7468 def cons 60 ref 7224 ref cons nil cons 7469 def cons nil cons cons 7470 def 81 ref subst 7470 remove 152 ref subst 7466 ref betaConv 7466 remove assume eqMp nil 59 ref 7226 ref nil cons 7471 def cons 7469 remove cons nil cons cons 7472 def 132 ref subst proveHyp 7472 ref 81 ref subst 7472 remove 152 ref subst 63 ref "_16853" 285 ref var 7473 def 7222 ref 7473 remove varTerm appTerm absTerm 7474 def 3509 ref appTerm 7475 def appTerm refl 7474 ref 7225 ref appTerm betaConv appThm 111 ref 7475 remove betaConv appThm 7222 remove 7225 remove appTerm refl appThm trans 7474 remove refl 7226 remove assume appThm eqMp sym nil 303 ref 6419 ref cons 7476 def 3523 ref cons nil cons cons nil 94 ref 6893 ref 694 ref appTerm 7477 def nil cons cons nil cons nil cons cons 101 ref subst 303 ref 7477 remove absTerm 7478 def 331 ref appTerm 7479 def betaConv 302 ref 416 ref 7478 ref appTerm 7480 def absTerm 7481 def 328 ref appTerm 7482 def betaConv 7483 def 706 ref 219 ref 706 ref 307 ref nil 307 ref 710 ref cons nil cons nil cons cons 7484 def 7158 ref subst 6898 ref refl 3367 ref appThm trans absThm appThm 111 ref 706 ref 307 ref "_16757" 285 ref var 7485 def 6898 ref 2991 remove 7485 remove varTerm appTerm appTerm absTerm 7486 def 717 ref appTerm betaConv absThm appThm appThm 417 ref 303 ref 7486 ref 331 ref appTerm betaConv absThm appThm appThm nil 659 ref 7486 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref "_16759" 285 ref var 7487 def 416 ref 303 ref 6778 ref 7487 remove varTerm 7488 def appTerm 338 ref 7488 remove appTerm 331 ref appTerm appTerm absTerm appTerm absTerm 7489 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 7483 remove absThm appThm appThm nil 659 ref 7489 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 705 ref 307 ref 6769 ref 321 ref appTerm 7490 def absTerm 7491 def appTerm 7492 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 7492 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 7491 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 7490 remove nil cons cons nil cons nil cons cons 101 ref subst 7484 remove 6983 ref subst 48 ref 21 ref 49 ref 7 ref 6002 ref 3488 remove 739 ref appThm appThm absThm appThm absThm appThm trans sym 21 ref 22 ref 7 ref 5954 ref 3490 remove 36 ref appTerm appTerm absTerm appTerm absTerm 7493 def 8 ref appTerm betaConv sym 49 ref 7 ref 6002 ref nil 23 ref 3072 remove nil cons cons nil cons nil cons cons 4915 ref subst appThm 6040 remove 4732 ref subst trans absThm appThm 203 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 7493 remove nil cons cons 4832 ref cons nil cons cons 279 ref subst proveHyp eqMp eqMp 7494 def absThm eqMp eqMp absThm eqMp eqMp 7495 def nil 59 ref 416 ref 7481 ref appTerm nil cons cons 60 ref 7482 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7481 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7480 remove nil cons cons 60 ref 7479 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7478 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 7496 def subst sym 100 ref eqMp eqMp eqMp nil 107 ref 7471 remove cons 109 ref 7224 remove cons nil cons 7497 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7468 remove cons 7497 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 416 ref 302 ref 64 ref 7227 ref 328 ref appTerm appTerm 7223 ref appTerm absTerm appTerm nil cons cons 7465 remove cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7227 remove nil cons cons 7497 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp 7498 def subst 7499 def appThm nil 6420 remove 3504 ref 6423 remove cons nil cons cons nil cons cons 7498 ref subst appThm appThm nil 3502 ref 3501 remove 6400 ref appTerm 7500 def nil cons cons 3504 ref 543 ref 6398 ref appTerm 7501 def nil cons cons nil cons cons nil cons cons 7498 ref subst appThm sym nil 59 ref 70 ref 1109 ref 6392 ref 365 ref 421 ref appTerm 7502 def 543 ref 6400 ref appTerm 7503 def appTerm 7504 def absTerm 7505 def appTerm 7506 def appTerm 1109 ref "d'" 285 ref var 7507 def 365 ref 6400 ref appTerm 7508 def 6399 ref 7507 ref varTerm 7509 def appTerm appTerm absTerm 7510 def appTerm 7511 def appTerm nil cons 7512 def cons 60 ref 1109 ref 7507 ref 365 ref 7500 remove appTerm 338 ref 7501 remove appTerm 7509 ref appTerm appTerm absTerm 7513 def appTerm 7514 def nil cons 7515 def cons nil cons 7516 def cons nil cons cons 7517 def 81 ref subst 7517 remove 152 ref subst nil 107 ref 7506 ref nil cons 7518 def cons 109 ref 7511 ref nil cons 7519 def cons nil cons cons nil cons cons 7520 def 123 ref subst 7520 remove 687 ref subst nil 59 ref 7518 remove cons 7516 ref cons nil cons cons 132 ref subst nil 659 ref "d1" 285 ref var 7521 def 64 ref 7505 ref 7521 ref varTerm 7522 def appTerm 7523 def appTerm 7514 ref appTerm 7524 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 7521 remove nil 94 ref 7524 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7523 ref nil cons 7525 def cons 7516 ref cons nil cons cons 7526 def 81 ref subst 7526 remove 152 ref subst 7523 ref betaConv 7523 remove assume eqMp nil 59 ref 7502 remove 543 ref 7522 ref appTerm appTerm 7527 def nil cons 7528 def cons 7516 ref cons nil cons cons 7529 def 132 ref subst proveHyp 7529 ref 81 ref subst 7529 remove 152 ref subst nil 59 ref 7519 remove cons 7516 ref cons nil cons cons 132 ref subst nil 659 ref "d2" 285 ref var 7530 def 64 ref 7510 ref 7530 ref varTerm 7531 def appTerm 7532 def appTerm 7514 ref appTerm 7533 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 7530 remove nil 94 ref 7533 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7532 ref nil cons 7534 def cons 7516 ref cons nil cons cons 7535 def 81 ref subst 7535 remove 152 ref subst 7532 ref betaConv 7532 remove assume eqMp nil 59 ref 7508 remove 6399 ref 7531 ref appTerm 7536 def appTerm 7537 def nil cons 7538 def cons 7516 remove cons nil cons cons 7539 def 132 ref subst proveHyp 7539 ref 81 ref subst 7539 remove 152 ref subst 7513 ref 338 ref 7522 ref appTerm 7531 ref appTerm 7540 def appTerm betaConv sym 690 ref 684 ref 7527 remove assume appThm 7537 remove assume appThm nil 3500 ref 7536 remove nil cons cons 3502 ref 7522 remove nil cons 7541 def cons 6403 ref cons cons nil cons cons 6418 ref subst 6422 remove nil 3500 ref 7531 remove nil cons cons 6427 ref 3504 ref 7541 remove cons nil cons cons cons nil cons cons 6426 remove subst appThm trans trans appThm nil 3500 ref 7540 ref nil cons 7542 def cons 6427 remove 6403 ref cons cons nil cons cons 6418 remove subst appThm nil 302 ref 543 ref 6399 remove 7540 remove appTerm appTerm nil cons cons nil cons nil cons cons 550 ref subst trans sym 100 ref eqMp eqMp 509 ref 659 ref 7513 remove nil cons cons 302 ref 7542 remove cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 7538 remove cons 109 ref 7515 remove cons nil cons 7543 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7534 remove cons 7543 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 416 ref 302 ref 64 ref 7510 ref 328 ref appTerm appTerm 7514 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7511 remove appTerm 7514 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7510 remove nil cons cons 7543 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 7528 remove cons 7543 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7525 remove cons 7543 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 416 ref 302 ref 64 ref 7505 ref 328 ref appTerm appTerm 7544 def 7514 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7506 remove appTerm 7545 def 7514 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7505 ref nil cons cons 7546 def 7543 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 7512 remove cons 7543 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp subst eqMp nil 59 ref 7221 remove cons 7219 ref cons nil cons cons 132 ref subst proveHyp 651 ref 6892 ref 3417 remove appThm 3418 remove appThm appThm 7204 remove refl 7547 def appThm sym 651 ref 6892 ref 3495 remove appThm 3499 remove appThm 3506 remove 3500 ref 63 ref 6778 ref 3510 remove appTerm 3513 ref appTerm appTerm 6778 ref 3509 ref appTerm 3512 ref appTerm 7548 def appTerm absTerm 7549 def 3512 ref appTerm 7550 def betaConv 3502 ref 416 ref 7549 ref appTerm 7551 def absTerm 7552 def 3509 ref appTerm 7553 def betaConv 3504 ref 416 ref 7552 ref appTerm 7554 def absTerm 7555 def 3507 ref appTerm 7556 def betaConv 417 ref 3504 ref 417 ref 3502 ref 417 ref 3500 ref 111 ref nil 3502 ref 3513 ref nil cons cons 3504 ref 6446 remove cons nil cons cons nil cons cons 7498 ref subst 7248 ref 6392 ref 3571 remove refl nil 3420 ref 6419 ref cons 7557 def 3524 remove cons nil cons cons 3494 ref subst appThm nil 3500 ref 3592 remove 6400 ref appTerm 7558 def nil cons cons 3502 ref 3519 remove cons 7559 def nil cons cons nil cons cons 3572 ref subst trans absThm appThm trans appThm nil 7559 remove 3504 ref 3521 remove cons nil cons cons nil cons cons 7498 ref subst appThm nil 198 ref 1109 ref 6392 ref 365 ref 3512 ref appTerm 7558 remove appTerm absTerm appTerm nil cons cons nil cons nil cons cons 635 ref subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans absThm appThm 554 ref trans sym 100 ref eqMp 7560 def nil 59 ref 416 ref 7555 ref appTerm nil cons cons 60 ref 7556 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7555 remove nil cons cons 3523 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7554 remove nil cons cons 60 ref 7553 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7552 remove nil cons cons 3606 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7551 remove nil cons cons 60 ref 7550 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7549 remove nil cons cons 3611 ref cons nil cons cons 163 ref subst eqMp eqMp 7561 def subst trans appThm 7547 ref appThm sym 651 ref 6892 ref 3584 remove appThm 3588 remove appThm 3591 remove 3500 ref 63 ref 6778 ref 3513 remove appTerm 3593 remove appTerm appTerm 7223 ref appTerm absTerm 7562 def 3512 ref appTerm 7563 def betaConv 3502 ref 416 ref 7562 ref appTerm 7564 def absTerm 7565 def 3509 ref appTerm 7566 def betaConv 3504 ref 416 ref 7565 ref appTerm 7567 def absTerm 7568 def 3507 ref appTerm 7569 def betaConv 417 ref 3504 ref 417 ref 3502 ref 417 ref 3500 ref 111 ref 6892 ref 3605 ref appThm 3608 remove appThm appThm 7223 ref refl appThm absThm appThm absThm appThm absThm appThm sym nil 659 ref 3504 ref 416 ref 3502 ref 416 ref 3500 ref 63 ref 6778 ref 338 ref 3512 ref appTerm 7570 def 3507 ref appTerm 7571 def appTerm 7570 remove 3509 ref appTerm appTerm appTerm 7223 remove appTerm 7572 def absTerm 7573 def appTerm 7574 def absTerm 7575 def appTerm 7576 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 3504 ref nil 94 ref 7576 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 7575 remove nil cons cons nil cons nil cons cons 679 ref subst 3502 ref nil 94 ref 7574 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 7573 remove nil cons cons nil cons nil cons cons 679 ref subst 3500 ref nil 94 ref 7572 remove nil cons cons nil cons nil cons cons 101 ref subst 3610 remove 7561 ref subst eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 416 ref 7568 ref appTerm nil cons cons 60 ref 7569 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7568 remove nil cons cons 3523 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7567 remove nil cons cons 60 ref 7566 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7565 remove nil cons cons 3606 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7564 remove nil cons cons 60 ref 7563 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7562 remove nil cons cons 3611 ref cons nil cons cons 163 ref subst eqMp eqMp subst trans appThm 7547 remove appThm sym nil 59 ref 6778 ref 3590 remove appTerm 3589 remove appTerm 7577 def nil cons 7578 def cons 7219 remove cons nil cons cons 7579 def 81 ref subst 7579 remove 152 ref subst 6892 ref 3616 remove appThm 3617 remove appThm 7577 remove assume eqMp eqMp nil 107 ref 7578 remove cons 109 ref 7218 remove cons nil cons 7580 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 107 ref 7216 remove cons 7580 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 7581 def nil 59 ref 291 ref 7191 remove appTerm 7582 def nil cons 7583 def cons 7584 def 60 ref 291 ref 7185 ref appTerm nil cons 7585 def cons nil cons cons nil cons cons 7586 def 132 ref subst proveHyp 7586 ref 81 ref subst 7586 remove 152 ref subst nil 386 ref 7185 remove nil cons cons 7587 def nil cons nil cons cons 3735 ref subst 293 ref nil 94 ref 7184 remove nil cons 7588 def cons nil cons nil cons cons 101 ref subst nil 386 ref 7182 remove nil cons cons 7589 def nil cons nil cons cons 3735 ref subst 562 ref nil 94 ref 7181 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7178 remove nil cons 7590 def cons 7591 def 60 ref 7180 ref nil cons 7592 def cons nil cons 7593 def cons nil cons cons 7594 def 81 ref subst 7594 remove 152 ref subst nil 7584 ref 7593 ref cons nil cons cons 7595 def 132 ref subst nil 7591 remove 60 ref 64 ref 7582 remove appTerm 7180 remove appTerm 7596 def nil cons 7597 def cons nil cons 7598 def cons nil cons cons 132 ref subst nil 386 ref 294 ref 64 ref 7177 ref 352 ref appTerm 7599 def appTerm 7596 ref appTerm 7600 def absTerm nil cons cons nil cons nil cons cons 3735 ref subst 294 ref nil 94 ref 7600 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7599 ref nil cons 7601 def cons 7598 ref cons nil cons cons 7602 def 81 ref subst 7602 remove 152 ref subst 7599 ref betaConv 7599 remove assume eqMp nil 59 ref 7176 remove nil cons 7603 def cons 7604 def 7598 remove cons nil cons cons 7605 def 132 ref subst proveHyp 7605 ref 81 ref subst 7605 remove 152 ref subst 7595 ref 81 ref subst 7595 remove 152 ref subst nil 7604 remove 7593 remove cons nil cons cons 132 ref subst 7187 ref 563 ref appTerm 7606 def betaConv 7189 ref 352 ref appTerm 7607 def betaConv 7193 remove nil 7584 remove 60 ref 7192 remove nil cons cons nil cons cons nil cons cons 132 ref subst 385 ref 386 ref 7194 remove cons 388 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7190 remove nil cons cons 60 ref 7607 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 7189 remove nil cons cons 3650 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7188 remove nil cons cons 60 ref 7606 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 7187 remove nil cons cons 3956 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 7583 remove cons 7608 def 109 ref 7592 remove cons nil cons 7609 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 7603 remove cons 109 ref 7597 remove cons nil cons 7610 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7601 remove cons 7610 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 ref 381 ref 64 ref 7177 ref 382 ref appTerm appTerm 7596 ref appTerm absTerm appTerm nil cons cons 60 ref 7179 remove 7596 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 7177 remove nil cons cons 7610 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 7590 remove cons 7609 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 7608 remove 109 ref 7585 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 7585 remove cons 60 ref 7186 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 7587 remove 388 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7588 remove cons 60 ref 7183 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 7589 remove 3956 remove cons nil cons cons 163 ref subst eqMp eqMp 7611 def subst eqMp nil 59 ref 7172 remove cons 60 ref 6784 ref 3659 ref appTerm 3762 ref appTerm nil cons cons nil cons 7612 def cons nil cons cons 152 ref subst proveHyp nil 3855 remove 7612 remove cons nil cons cons 132 ref subst nil 3849 remove 3721 ref cons nil cons cons 7171 ref subst eqMp eqMp eqMp 385 ref 386 ref 6846 ref nil cons cons 3721 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 378 ref 6846 remove appTerm nil cons cons 6841 remove cons nil cons cons 132 ref subst proveHyp nil 562 ref 3848 ref cons 7613 def 3909 ref cons nil cons cons 7611 ref subst eqMp eqMp nil 107 ref 6796 ref cons 109 ref 6840 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 64 ref 6786 ref appTerm 6837 ref appTerm nil cons cons 60 ref 64 ref 6837 ref appTerm 6786 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 6840 ref cons 60 ref 6796 ref cons nil cons 7614 def cons nil cons cons 7615 def 81 ref subst 7615 remove 152 ref subst 294 ref 70 ref 6785 ref 352 ref appTerm appTerm 7616 def 6847 remove appTerm absTerm 7617 def 3762 ref appTerm betaConv sym 294 ref 7616 remove 6845 remove appTerm absTerm 7618 def 3760 ref appTerm betaConv sym 70 ref 6785 ref 3760 remove appTerm 7619 def appTerm refl nil 94 ref 6840 ref cons nil cons nil cons cons 101 ref subst 6837 remove assume eqMp appThm nil 94 ref 7619 remove nil cons 7620 def cons nil cons nil cons cons 1385 ref subst trans sym nil 3913 remove 60 ref 7620 remove cons nil cons cons nil cons cons 132 ref subst nil 294 ref 3908 remove cons 3717 ref cons nil cons cons 7171 ref subst eqMp eqMp eqMp 385 ref 386 ref 7618 ref nil cons cons 3909 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 378 ref 7618 remove appTerm nil cons cons 60 ref 6785 remove 3762 ref appTerm nil cons 7621 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 7613 remove 3717 ref cons nil cons cons 7611 ref subst eqMp nil 59 ref 7621 remove cons 60 ref 6784 ref 3762 ref appTerm 3659 ref appTerm nil cons cons nil cons 7622 def cons nil cons cons 152 ref subst proveHyp nil 3774 remove 293 ref 3848 remove cons nil cons 7623 def cons nil cons cons 7624 def 6853 remove subst sym 3763 remove assume eqMp nil 59 ref 373 ref 3762 remove appTerm 3659 remove appTerm nil cons cons 7622 remove cons nil cons cons 132 ref subst proveHyp 7624 remove 7171 remove subst eqMp eqMp eqMp 385 ref 386 ref 7617 ref nil cons cons 7623 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 378 ref 7617 remove appTerm nil cons cons 7614 remove cons nil cons cons 132 ref subst proveHyp nil 7173 remove 3717 remove cons nil cons cons 7611 remove subst eqMp eqMp nil 107 ref 6840 remove cons 109 ref 6796 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 3962 remove 109 ref 6838 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp 6835 remove 123 ref subst trans eqMp nil 107 ref 6832 remove cons 7625 def 109 ref 6820 ref cons nil cons 7626 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 6829 remove cons 7626 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 ref 293 ref 64 ref 6810 ref 354 ref appTerm appTerm 6788 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 6811 remove appTerm 6788 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 6810 remove nil cons cons 7627 def 7626 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 6824 remove cons 7626 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 ref 293 ref 64 ref 6812 ref 354 ref appTerm appTerm 6788 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 6813 ref appTerm 6788 ref appTerm nil cons 7628 def cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 6812 remove nil cons cons 7629 def 7626 remove cons nil cons cons 1090 ref subst eqMp nil 59 ref 7628 remove cons 60 ref 64 ref 6788 remove appTerm 6813 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 6820 ref cons 7630 def 60 ref 6819 ref cons nil cons 7631 def cons nil cons cons 7632 def 81 ref subst 7632 remove 152 ref subst nil 7630 remove 3976 remove cons nil cons cons 152 ref subst 3982 remove eqMp nil 59 ref 6789 remove 3975 remove appTerm nil cons cons 7631 ref cons nil cons cons 132 ref subst proveHyp 3984 remove nil 6833 remove 7631 remove cons nil cons cons 7633 def 81 ref subst 7633 remove 152 ref subst 6826 remove sym 6831 remove sym 6809 remove assume eqMp 385 ref 7627 remove 3986 remove cons nil cons cons 279 ref subst proveHyp eqMp 385 ref 7629 remove 3987 remove cons nil cons cons 279 ref subst proveHyp eqMp nil 7625 remove 109 ref 6819 remove cons nil cons 7634 def cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 107 ref 6820 remove cons 7634 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm appThm trans eqMp 7635 def eqMp 7636 def subst absThm appThm 111 ref 292 ref 293 ref "_17110" 394 ref var 7637 def 6793 ref 7637 remove varTerm 7638 def appTerm 7638 remove appTerm absTerm 7639 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 7639 ref 3636 ref appTerm betaConv 7640 def absThm appThm appThm nil 3622 ref 7639 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 6855 remove 354 ref appTerm absTerm 7641 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 7641 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 7641 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 462 remove 6890 ref subst 546 remove 7162 ref subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp eqMp 7642 def nil 574 ref 3635 ref 6793 ref 3636 ref appTerm 7643 def 3636 ref appTerm 7644 def absTerm 7645 def appTerm 7646 def thm 292 ref 293 ref 292 ref 294 ref 111 ref 652 ref 3656 remove 7636 ref subst 7647 def appThm 7648 def 3993 remove 7636 ref subst 7649 def appThm appThm 3651 ref appThm absThm appThm 111 ref 292 ref 294 ref "_17116" 394 ref var 7650 def 63 ref 70 ref 6793 ref 402 ref appTerm 7651 def 7650 remove varTerm 7652 def appTerm appTerm 6793 ref 7652 ref appTerm 402 ref appTerm appTerm appTerm 403 ref 7652 remove appTerm appTerm absTerm 7653 def 405 ref appTerm betaConv absThm appThm appThm 3998 ref 3999 ref 7653 ref 4000 ref appTerm betaConv absThm appThm appThm nil 3622 ref 7653 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 293 ref "_17118" 394 ref var 7654 def 574 ref 3999 ref 63 ref 70 ref 6793 ref 7654 remove varTerm 7655 def appTerm 4000 ref appTerm appTerm 6793 ref 4000 ref appTerm 7656 def 7655 ref appTerm appTerm appTerm 398 ref 7655 remove appTerm 4000 ref appTerm appTerm absTerm appTerm absTerm 7657 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 7657 ref 3636 ref appTerm betaConv absThm appThm appThm nil 3622 ref 7657 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 291 ref 294 ref 63 ref 7174 remove 6844 ref 354 ref appTerm 7658 def appTerm appTerm 375 remove appTerm absTerm appTerm absTerm 7659 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 7659 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 7659 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 63 ref 7195 remove 6844 remove 422 ref appTerm 7660 def appTerm appTerm 597 remove appTerm absTerm 7661 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 7661 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 7661 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 111 ref 7200 remove 611 remove 6890 ref subst 7662 def appThm nil 303 ref 616 remove cons 692 remove cons nil cons cons 7663 def 303 ref 63 ref 70 ref 6917 ref appTerm 6778 ref 331 ref appTerm 7664 def 328 ref appTerm 7665 def appTerm 7666 def appTerm 6717 ref 331 ref appTerm 7667 def appTerm 7668 def absTerm 7669 def 331 ref appTerm 7670 def betaConv 302 ref 416 ref 7669 ref appTerm 7671 def absTerm 7672 def 328 ref appTerm 7673 def betaConv 7674 def 706 ref 219 ref 706 ref 307 ref 111 ref 652 ref 7158 ref appThm 785 ref 7158 ref subst 7675 def appThm appThm 2989 ref appThm absThm appThm 111 ref 706 ref 307 ref "_16741" 285 ref var 7676 def 63 ref 70 ref 6898 ref 7676 remove varTerm 7677 def appTerm appTerm 6778 ref 7677 ref appTerm 714 ref appTerm appTerm appTerm 715 ref 7677 remove appTerm appTerm absTerm 7678 def 717 ref appTerm betaConv absThm appThm appThm 417 ref 303 ref 7678 ref 331 ref appTerm betaConv absThm appThm appThm nil 659 ref 7678 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref "_16743" 285 ref var 7679 def 416 ref 303 ref 63 ref 70 ref 6778 ref 7679 remove varTerm 7680 def appTerm 331 ref appTerm appTerm 7664 ref 7680 ref appTerm appTerm appTerm 365 ref 7680 remove appTerm 331 ref appTerm appTerm absTerm appTerm absTerm 7681 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 7674 remove absThm appThm appThm nil 659 ref 7681 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 705 ref 307 ref 63 ref 70 ref 6770 ref appTerm 7682 def 6768 ref 320 ref appTerm 7683 def 233 ref appTerm 7684 def appTerm 7685 def appTerm 712 ref appTerm 7686 def absTerm 7687 def appTerm 7688 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 7688 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 7687 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 7686 ref nil cons cons nil cons nil cons cons 101 ref subst 111 ref 652 ref 6983 ref appThm 7689 def 785 ref 6983 ref subst appThm appThm 731 ref 48 ref 21 ref 49 ref 7 ref nil 5238 ref 3336 remove cons nil cons cons 5992 ref subst absThm appThm absThm appThm trans 7690 def appThm sym nil 59 ref 70 ref 7002 ref appTerm 7691 def 20 ref 21 ref 22 ref 7 ref 6009 ref 6987 ref appTerm 7692 def absTerm appTerm absTerm 7693 def appTerm 7694 def appTerm 7695 def nil cons 7696 def cons 60 ref 20 ref 21 ref 22 ref 7 ref 70 ref 6998 remove appTerm 7692 ref appTerm absTerm 7697 def appTerm 7698 def absTerm 7699 def appTerm 7700 def nil cons 7701 def cons nil cons 7702 def cons nil cons cons 7703 def 1845 ref subst 7703 ref 81 ref subst 7703 remove 152 ref subst nil 107 ref 7029 ref cons 7704 def 109 ref 7694 ref nil cons 7705 def cons nil cons cons nil cons cons 7706 def 123 ref subst 7706 remove 687 ref subst nil 7043 ref 7702 ref cons nil cons cons 132 ref subst nil 135 ref 837 ref 64 ref 7001 remove 838 ref appTerm 7707 def appTerm 7708 def 7700 ref appTerm 7709 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 7709 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7707 ref nil cons 7710 def cons 7711 def 7702 ref cons nil cons cons 7712 def 81 ref subst 7712 remove 152 ref subst 7707 ref betaConv 7707 remove assume eqMp 7713 def nil 59 ref 22 ref 7 ref 5954 ref 3464 ref 838 ref appTerm 7714 def appTerm 7715 def absTerm 7716 def appTerm nil cons 7717 def cons 7718 def 7702 ref cons nil cons cons 7719 def 132 ref subst proveHyp 7719 ref 81 ref subst 7719 remove 152 ref subst nil 59 ref 7705 ref cons 7702 ref cons nil cons cons 132 ref subst nil 135 ref 849 ref 64 ref 7693 ref 850 ref appTerm 7720 def appTerm 7700 ref appTerm 7721 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 7721 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7720 ref nil cons 7722 def cons 7702 ref cons nil cons cons 7723 def 81 ref subst 7723 remove 152 ref subst 7720 ref betaConv 7720 remove assume eqMp nil 59 ref 22 ref 7 ref 6009 ref 3071 ref 850 ref appTerm 7724 def appTerm 7725 def absTerm 7726 def appTerm nil cons 7727 def cons 7728 def 7702 remove cons nil cons cons 7729 def 132 ref subst proveHyp 7729 ref 81 ref subst 7729 remove 152 ref subst 7699 ref 861 ref appTerm betaConv sym nil 135 ref 7 ref 70 ref 5954 ref 3464 ref 861 ref appTerm 7730 def appTerm 7731 def appTerm 6009 ref 3071 remove 861 ref appTerm 7732 def appTerm 7733 def appTerm 7734 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 7734 remove nil cons cons nil cons nil cons cons 101 ref subst 26 ref 7714 ref appTerm 7735 def refl 7736 def nil 879 ref 877 ref cons 7737 def 7 ref 880 ref cons 7738 def 794 ref cons cons nil cons cons 3486 ref subst appThm nil 3207 ref 23 ref 7714 remove nil cons 7739 def cons nil cons cons nil cons cons 4732 ref subst trans sym 100 ref eqMp nil 59 ref 7735 ref 7730 ref appTerm nil cons cons 60 ref 7731 remove nil cons 7740 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 7730 ref nil cons 7741 def cons 7742 def nil cons nil cons cons 879 ref 64 ref 7735 ref 883 ref appTerm appTerm 7081 remove appTerm absTerm 7743 def 883 ref appTerm 7744 def betaConv 7716 ref 34 ref appTerm 7745 def betaConv nil 7718 ref 60 ref 7745 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 7716 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7715 remove nil cons cons 60 ref 22 ref 7743 ref appTerm nil cons 7746 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 7 ref 7739 remove cons 912 ref cons nil cons cons 1030 ref subst eqMp nil 59 ref 7746 remove cons 60 ref 7744 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7743 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 7747 def subst eqMp nil 59 ref 7740 remove cons 60 ref 7733 remove nil cons cons nil cons 7748 def cons nil cons cons 152 ref subst proveHyp 26 ref 7724 ref appTerm 7749 def refl nil 7737 ref 7738 ref 912 ref cons 7750 def cons nil cons cons 3486 ref subst appThm nil 879 ref 7102 remove cons 6264 remove 736 ref cons cons nil cons cons 7077 ref subst nil 7750 remove nil cons cons 4732 ref subst trans trans sym 100 ref eqMp nil 59 ref 7749 ref 7732 ref appTerm nil cons cons 7748 remove cons nil cons cons 132 ref subst proveHyp nil 879 ref 7732 ref nil cons cons nil cons nil cons cons 879 ref 64 ref 7749 remove 883 ref appTerm appTerm 6009 ref 883 ref appTerm appTerm absTerm 7751 def 883 ref appTerm 7752 def betaConv 7726 ref 34 ref appTerm 7753 def betaConv nil 7728 remove 60 ref 7753 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 7726 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7725 remove nil cons cons 60 ref 22 ref 7751 ref appTerm nil cons 7754 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 7 ref 7724 remove nil cons cons 794 remove cons nil cons cons 1030 remove subst eqMp nil 59 ref 7754 remove cons 60 ref 7752 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7751 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 7699 ref nil cons cons 7755 def 1093 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 7727 remove cons 109 ref 7701 remove cons nil cons 7756 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7722 remove cons 7756 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 7693 ref 1065 ref appTerm appTerm 7700 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7694 remove appTerm 7700 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7693 ref nil cons cons 7757 def 7756 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 7717 remove cons 7758 def 7756 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7710 remove cons 7759 def 7756 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 7105 ref 7700 ref appTerm absTerm appTerm nil cons cons 60 ref 7106 ref 7700 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 7108 ref 7756 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 7696 ref cons 7756 remove cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 64 ref 7695 ref appTerm 7700 ref appTerm nil cons cons 60 ref 64 ref 7700 remove appTerm 7760 def 7695 ref appTerm nil cons cons nil cons 7761 def cons nil cons cons 152 ref subst proveHyp nil 135 ref 21 ref 64 ref 7699 ref 36 ref appTerm 7762 def appTerm 7763 def 7695 ref appTerm 7764 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 7764 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7762 ref nil cons 7765 def cons 7766 def 60 ref 7696 ref cons nil cons 7767 def cons nil cons cons 7768 def 81 ref subst 7768 remove 152 ref subst 7762 ref betaConv 7762 remove assume eqMp 7769 def nil 59 ref 7698 remove nil cons 7770 def cons 7771 def 7767 remove cons nil cons cons 7772 def 132 ref subst proveHyp 7772 ref 81 ref subst 7772 remove 152 ref subst 7050 ref sym 49 ref 7 ref nil 94 ref 7088 ref cons nil cons nil cons cons 101 ref subst 7697 ref 34 ref appTerm 7773 def betaConv nil 7771 ref 60 ref 7773 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 7697 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 7774 def nil 107 ref 7088 remove cons 7775 def 109 ref 7692 remove nil cons 7776 def cons nil cons cons nil cons cons 7777 def 123 ref subst proveHyp eqMp absThm appThm 203 ref trans sym 100 ref eqMp eqMp 134 ref 7108 ref 5523 ref cons nil cons cons 279 ref subst proveHyp 7778 def nil 7043 ref 60 ref 7705 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 7693 remove 36 ref appTerm betaConv sym 49 ref 7 ref nil 94 ref 7776 remove cons nil cons nil cons cons 101 ref subst 7774 remove 7777 remove 687 ref subst proveHyp eqMp absThm appThm 203 ref trans sym 100 ref eqMp eqMp 134 ref 7757 remove 5523 ref cons nil cons cons 279 ref subst proveHyp eqMp eqMp nil 107 ref 7770 remove cons 7779 def 109 ref 7696 remove cons nil cons 7780 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7765 remove cons 7781 def 7780 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 7699 remove 1065 ref appTerm appTerm 7782 def 7695 remove appTerm absTerm appTerm nil cons cons 7761 remove cons nil cons cons 132 ref subst proveHyp 134 ref 7755 ref 7780 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 7783 def eqMp 7784 def nil 59 ref 416 ref 7672 ref appTerm nil cons cons 60 ref 7673 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7672 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7671 remove nil cons cons 60 ref 7670 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7669 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp subst trans appThm 609 remove appThm 636 remove trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp eqMp 7785 def nil 574 ref 3635 ref 574 ref 3999 ref 63 ref 70 ref 7643 ref 4000 ref appTerm 7786 def appTerm 7787 def 7656 ref 3636 ref appTerm 7788 def appTerm 7789 def appTerm 398 ref 3636 ref appTerm 7790 def 4000 ref appTerm 7791 def appTerm 7792 def absTerm appTerm absTerm appTerm thm 292 ref 293 ref 292 ref 294 ref 292 ref 562 ref 651 ref 7648 remove 4133 remove 7636 ref subst 7793 def appThm appThm 6732 ref 7636 ref subst appThm absThm appThm 111 ref 292 ref 562 ref "_17126" 394 ref var 7794 def 64 ref 70 ref 7651 ref 405 ref appTerm appTerm 6793 ref 405 ref appTerm 7795 def 7794 remove varTerm 7796 def appTerm appTerm appTerm 7651 ref 7796 remove appTerm appTerm absTerm 7797 def 4137 ref appTerm betaConv absThm appThm appThm 3998 ref 4144 ref 7797 ref 4145 ref appTerm betaConv absThm appThm appThm nil 3622 ref 7797 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 294 ref "_17128" 394 ref var 7798 def 574 ref 4144 ref 64 ref 70 ref 7651 ref 7798 remove varTerm 7799 def appTerm appTerm 6793 ref 7799 remove appTerm 4145 ref appTerm appTerm appTerm 7651 ref 4145 ref appTerm appTerm absTerm appTerm absTerm 7800 def 405 ref appTerm betaConv absThm appThm appThm 3998 ref 3999 ref 7800 ref 4000 ref appTerm betaConv absThm appThm appThm nil 3622 ref 7800 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 293 ref "_17130" 394 ref var 7801 def 574 ref 3999 ref 574 ref 4144 ref 64 ref 70 ref 6793 ref 7801 remove varTerm appTerm 7802 def 4000 ref appTerm appTerm 7656 ref 4145 ref appTerm 7803 def appTerm appTerm 7802 remove 4145 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 7804 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 7804 ref 3636 ref appTerm betaConv 7805 def absThm appThm appThm nil 3622 ref 7804 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 7581 remove eqMp 7806 def nil 574 ref 3635 ref 574 ref 3999 ref 574 ref 4144 ref 64 ref 7787 remove 7803 ref appTerm 7807 def appTerm 7643 ref 4145 ref appTerm 7808 def appTerm absTerm 7809 def appTerm 7810 def absTerm 7811 def appTerm 7812 def absTerm 7813 def appTerm 7814 def thm 292 ref 293 ref 292 ref 294 ref 1371 ref 7647 remove appThm 7649 remove appThm absThm appThm 111 ref 292 ref 294 ref "_17136" 394 ref var 7815 def 1337 ref 7651 remove 7815 remove varTerm 7816 def appTerm appTerm 6793 ref 7816 remove appTerm 402 ref appTerm appTerm absTerm 7817 def 405 ref appTerm betaConv absThm appThm appThm 3998 ref 3999 ref 7817 ref 4000 ref appTerm betaConv absThm appThm appThm nil 3622 ref 7817 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 293 ref "_17138" 394 ref var 7818 def 574 ref 3999 ref 1337 ref 6793 ref 7818 remove varTerm 7819 def appTerm 4000 ref appTerm appTerm 7656 ref 7819 remove appTerm appTerm absTerm appTerm absTerm 7820 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 7820 ref 3636 ref appTerm betaConv absThm appThm appThm nil 3622 ref 7820 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 291 ref 294 ref 1337 ref 6856 remove appTerm 7658 remove appTerm absTerm appTerm absTerm 7821 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 7821 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 7821 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 1337 ref 6866 remove appTerm 7660 remove appTerm absTerm 7822 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 7822 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 7822 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 1371 ref 6891 remove appThm 7662 remove appThm 7663 remove nil 94 ref 1337 ref 6917 ref appTerm 7665 ref appTerm 7823 def nil cons cons nil cons nil cons cons 101 ref subst 303 ref 7823 remove absTerm 7824 def 331 ref appTerm 7825 def betaConv 302 ref 416 ref 7824 ref appTerm 7826 def absTerm 7827 def 328 ref appTerm 7828 def betaConv 7829 def 706 ref 219 ref 706 ref 307 ref 1371 ref 7158 ref appThm 7675 remove appThm absThm appThm 111 ref 706 ref 307 ref "_16749" 285 ref var 7830 def 1337 ref 6898 remove 7830 remove varTerm 7831 def appTerm appTerm 6778 ref 7831 remove appTerm 714 ref appTerm appTerm absTerm 7832 def 717 remove appTerm betaConv absThm appThm appThm 417 ref 303 ref 7832 ref 331 ref appTerm betaConv absThm appThm appThm nil 659 ref 7832 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref "_16751" 285 ref var 7833 def 416 ref 303 ref 1337 ref 6778 ref 7833 remove varTerm 7834 def appTerm 331 ref appTerm appTerm 7664 ref 7834 remove appTerm appTerm absTerm appTerm absTerm 7835 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 7829 remove absThm appThm appThm nil 659 ref 7835 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans nil 243 ref 219 ref 705 ref 307 ref 1337 ref 6770 ref appTerm 7836 def 7684 ref appTerm 7837 def absTerm 7838 def appTerm 7839 def absTerm 7840 def nil cons cons 7841 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 7839 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 7838 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 7837 ref nil cons 7842 def cons nil cons nil cons cons 101 ref subst nil 1648 ref 7842 remove cons nil cons nil cons cons 1652 remove refl 1707 ref appThm nil 1702 ref nil cons cons 635 ref subst trans sym 100 ref eqMp subst sym 3124 ref nil 3125 ref 60 ref 1237 ref 1237 ref 7837 remove appTerm appTerm 7843 def nil cons 7844 def cons nil cons 7845 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 837 ref 3134 ref 7843 ref appTerm 7846 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 7846 remove nil cons cons nil cons nil cons cons 101 ref subst nil 3137 ref 7845 ref cons nil cons cons 7847 def 81 ref subst 7847 remove 152 ref subst 3139 ref nil 3148 ref 7845 ref cons nil cons cons 7848 def 132 ref subst proveHyp 7848 ref 81 ref subst 7848 remove 152 ref subst 3151 remove nil 3158 remove 7845 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 849 ref 3160 remove 7843 ref appTerm 7849 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 7849 remove nil cons cons nil cons nil cons cons 101 ref subst nil 3163 remove 7845 ref cons nil cons cons 7850 def 81 ref subst 7850 remove 152 ref subst 3165 remove nil 3174 remove 7845 remove cons nil cons cons 7851 def 132 ref subst proveHyp 7851 ref 81 ref subst 7851 remove 152 ref subst 1443 ref nil 1708 ref 7684 ref nil cons 7852 def cons 1709 ref 6901 ref cons nil cons cons nil cons cons 1708 ref 63 ref 1237 ref 1714 remove appTerm appTerm 70 ref 1237 ref 1711 ref appTerm appTerm 1237 ref 1713 ref appTerm appTerm appTerm absTerm 7853 def 1713 ref appTerm 7854 def betaConv 1709 ref 194 ref 7853 ref appTerm 7855 def absTerm 7856 def 1711 ref appTerm 7857 def betaConv nil 194 ref 7856 ref appTerm 7858 def axiom nil 59 ref 7858 remove nil cons cons 60 ref 7857 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 7856 remove nil cons cons 1722 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7855 remove nil cons cons 60 ref 7854 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 7853 remove nil cons cons 1723 ref cons nil cons cons 163 ref subst eqMp eqMp subst appThm sym nil 107 ref 70 ref 1237 ref 6770 ref appTerm 7859 def appTerm 1237 ref 7684 ref appTerm 7860 def appTerm nil cons 7861 def cons 7862 def nil cons nil cons cons 1848 remove sym 7863 def subst nil 59 ref 7861 remove cons 1330 ref cons nil cons cons 7864 def 81 ref subst 7864 remove 152 ref subst nil 107 ref 7859 ref nil cons 7865 def cons 109 ref 7860 remove nil cons 7866 def cons nil cons cons nil cons cons 7867 def 123 ref subst nil 59 ref 7865 ref cons 60 ref 22 ref 21 ref 20 ref 7 ref 70 ref 5736 ref appTerm 7868 def "Number.Natural.<" const 25 ref constTerm 7869 def 6995 ref appTerm 733 ref appTerm 7870 def appTerm 7871 def absTerm 7872 def appTerm 7873 def absTerm 7874 def appTerm 7875 def nil cons 7876 def cons nil cons 7877 def cons nil cons cons 132 ref subst proveHyp 651 ref 1443 ref 6983 ref appThm 111 ref 1443 ref 48 ref 21 ref 7050 ref absThm appThm appThm appThm 49 ref 21 ref 1443 ref 7050 remove appThm absThm appThm appThm nil 4875 ref 7107 remove cons nil cons nil cons cons 190 ref 1487 ref subst 7878 def subst eqMp 49 ref 21 ref 111 ref 1443 ref 49 ref 7 ref 7086 ref absThm appThm appThm appThm 48 ref 7 ref 1443 ref 7086 remove appThm absThm appThm appThm nil 4875 ref 7087 remove cons nil cons nil cons cons 190 ref 2039 remove subst 7879 def subst eqMp absThm appThm trans trans appThm 7875 ref refl 7880 def appThm sym 651 ref 49 ref 21 ref 48 ref 7 ref 7093 remove 7 ref 63 ref 1237 ref 957 ref appTerm appTerm 7869 ref 34 ref appTerm 7881 def 31 ref appTerm appTerm absTerm 7882 def 34 ref appTerm 7883 def betaConv 23 ref 22 ref 7882 ref appTerm 7884 def absTerm 7885 def 31 ref appTerm 7886 def betaConv nil 22 ref 7885 ref appTerm 7887 def axiom nil 59 ref 7887 remove nil cons cons 60 ref 7886 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7885 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7884 remove nil cons cons 60 ref 7883 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7882 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 7888 def subst absThm appThm absThm appThm appThm 7880 remove appThm sym nil 59 ref 22 ref 21 ref 20 ref 7 ref 7870 ref absTerm appTerm absTerm 7889 def appTerm nil cons 7890 def cons 7891 def 7877 remove cons nil cons cons 7892 def 81 ref subst 7892 remove 152 ref subst nil 135 ref 7874 ref nil cons 7893 def cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 7873 ref nil cons 7894 def cons nil cons nil cons cons 101 ref subst 7889 ref 5634 ref appTerm 7895 def betaConv nil 7891 remove 60 ref 7895 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 7889 remove nil cons cons 5740 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 20 ref 7 ref 7869 ref 3464 remove 5634 remove appTerm appTerm 733 ref appTerm 7896 def absTerm 7897 def appTerm 7898 def nil cons cons 60 ref 7894 ref cons nil cons 7899 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 7 ref 64 ref 7897 ref 34 ref appTerm 7900 def appTerm 7873 ref appTerm 7901 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 7901 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7900 ref nil cons 7902 def cons 7899 ref cons nil cons cons 7903 def 81 ref subst 7903 remove 152 ref subst 7900 ref betaConv 7900 remove assume eqMp nil 59 ref 7896 ref nil cons 7904 def cons 7905 def 7899 remove cons nil cons cons 7906 def 132 ref subst proveHyp 7906 ref 81 ref subst 7906 remove 152 ref subst 7872 ref 34 ref appTerm betaConv sym nil 7905 remove 60 ref 7871 ref nil cons cons nil cons cons nil cons cons 132 ref subst nil 59 ref 5737 ref cons 7907 def 60 ref 64 ref 7896 remove appTerm 7871 remove appTerm nil cons 7908 def cons nil cons 7909 def cons nil cons cons 7910 def 81 ref subst 7910 remove 152 ref subst 651 ref 7869 ref refl 7911 def nil 5670 remove 7454 remove cons nil cons cons 3486 ref subst 7912 def appThm 4301 ref appThm appThm 652 ref 1443 ref nil 7907 ref 60 ref 63 ref 5368 ref appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 5733 ref nil cons nil cons cons 1855 ref subst eqMp appThm 1372 ref trans appThm 7870 ref refl appThm nil 94 ref 7870 remove nil cons 7913 def cons nil cons nil cons cons 874 ref subst trans appThm sym nil 1648 ref 7869 ref 38 ref 6995 remove appTerm 4706 ref appTerm 7914 def appTerm 733 ref appTerm nil cons cons 1642 ref 7913 remove cons nil cons cons nil cons cons nil 1655 ref 60 ref 2429 remove 1660 ref 1762 ref appTerm appTerm nil cons 7915 def cons nil cons 7916 def cons nil cons cons 7917 def 81 ref subst 7917 remove 152 ref subst 63 ref "_416" 16 ref var 7918 def 63 ref 64 ref 7918 remove varTerm 7919 def appTerm 1657 ref appTerm appTerm 1660 ref 1237 ref 7919 remove appTerm appTerm appTerm absTerm 7920 def 1651 ref appTerm 7921 def appTerm refl 7922 def 7920 ref 1241 ref appTerm betaConv appThm 111 ref 7921 remove betaConv appThm 7923 def 2439 remove 1660 ref 1354 remove appTerm appTerm refl appThm trans 7920 remove refl 7924 def 1672 ref appThm eqMp sym 2446 remove 1660 ref refl 7925 def 1372 ref appThm 1697 remove trans appThm 1698 ref trans sym 100 ref eqMp eqMp eqMp nil 1682 ref 109 ref 7915 ref cons nil cons 7926 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1686 ref 7916 remove cons nil cons cons 7927 def 81 ref subst 7927 remove 152 ref subst 7922 remove "_414" 16 ref var 7928 def 63 ref 64 ref 7928 remove varTerm 7929 def appTerm 1657 ref appTerm appTerm 1660 ref 1237 ref 7929 remove appTerm appTerm appTerm absTerm 86 ref appTerm betaConv appThm 7923 remove 2453 remove 1660 remove 1397 remove appTerm appTerm refl appThm trans 7924 remove 1691 ref appThm eqMp sym 2459 remove 7925 remove 1407 ref appThm 1678 remove trans appThm sym 2952 ref refl 1679 remove appThm 1681 remove trans sym 100 ref eqMp eqMp eqMp eqMp nil 1699 ref 7926 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1703 ref nil 1699 ref 1704 ref 1422 ref 7915 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 7930 def subst sym 651 ref nil 735 ref 23 ref 7092 remove cons nil cons 7931 def cons nil cons cons 7 ref 63 ref 1237 ref 7869 ref 31 ref appTerm 7932 def 34 ref appTerm 7933 def appTerm 7934 def appTerm 5542 ref appTerm 7935 def absTerm 7936 def 34 ref appTerm 7937 def betaConv 23 ref 22 ref 7936 ref appTerm 7938 def absTerm 7939 def 31 ref appTerm 7940 def betaConv nil 22 ref 7939 ref appTerm 7941 def axiom 7942 def nil 59 ref 7941 remove nil cons cons 60 ref 7940 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7939 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7938 remove nil cons cons 60 ref 7937 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7936 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 7943 def subst appThm nil 735 ref 23 ref 7914 ref nil cons 7944 def cons nil cons cons nil cons cons 7943 ref subst appThm sym nil 7089 remove 60 ref 5954 ref 7914 ref appTerm nil cons 7945 def cons nil cons 7946 def cons nil cons cons 7947 def 81 ref subst 7947 remove 152 ref subst nil 4721 ref 7931 remove cons nil cons cons 4732 ref subst sym 100 ref eqMp nil 59 ref 7080 remove 7914 remove appTerm nil cons cons 7946 remove cons nil cons cons 132 ref subst proveHyp nil 879 ref 7944 remove cons nil cons nil cons cons 7084 remove 7091 remove 7094 remove eqMp 7095 remove proveHyp 7096 remove eqMp eqMp subst eqMp eqMp nil 7775 remove 109 ref 7945 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 107 ref 5737 remove cons 7948 def 109 ref 7908 ref cons nil cons 7949 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 5701 ref 7909 remove cons nil cons cons 7950 def 81 ref subst 7950 remove 152 ref subst 651 ref 7911 ref 7912 remove 3487 ref 3487 ref 787 ref refl 5704 ref appThm appThm 739 ref appThm 7951 def appThm 4706 ref refl appThm trans appThm 5705 ref appThm appThm 652 ref 1443 ref 4802 ref 5704 remove appThm 4820 ref appThm 4834 ref trans appThm 1407 ref trans appThm 7911 ref 7951 remove appThm 5705 remove appThm appThm nil 94 ref 7869 ref 38 ref 5757 remove appTerm 36 ref appTerm 7952 def appTerm 4706 ref appTerm nil cons cons nil cons nil cons cons 1787 remove subst trans appThm nil 94 ref 7869 ref 38 ref 7952 ref appTerm 4706 ref appTerm 7953 def appTerm 4706 remove appTerm nil cons cons nil cons nil cons cons 1246 ref subst nil 4721 remove 23 ref 7953 remove nil cons cons nil cons cons nil cons cons 7943 ref subst nil 23 ref 7952 remove nil cons cons 5389 remove cons nil cons cons 5397 ref subst trans trans trans sym 100 ref eqMp eqMp nil 5733 ref 7949 remove cons nil cons cons 123 ref subst deductAntisym eqMp 5735 remove nil 5733 remove 5738 remove 1422 ref 7908 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp eqMp 134 ref 135 ref 7872 remove nil cons cons 176 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 7904 remove cons 109 ref 7894 remove cons nil cons 7954 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 7902 remove cons 7954 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 7897 ref 1065 ref appTerm appTerm 7873 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7898 remove appTerm 7873 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7897 remove nil cons cons 7954 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp absThm eqMp eqMp nil 107 ref 7890 remove cons 109 ref 7876 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp 7955 def eqMp nil 59 ref 7876 remove cons 60 ref 22 ref 21 ref 20 ref 7 ref 7868 ref 7869 ref 6987 ref appTerm 788 ref appTerm appTerm absTerm appTerm 7956 def absTerm 7957 def appTerm 7958 def nil cons cons nil cons 7959 def cons nil cons cons 152 ref subst proveHyp 7867 remove 687 ref subst nil 59 ref 7866 remove cons 7959 remove cons nil cons cons 132 ref subst proveHyp 785 ref 7955 remove subst eqMp eqMp nil 59 ref 70 ref 7875 remove appTerm 7958 remove appTerm nil cons 7960 def cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 94 ref 7960 remove cons nil cons nil cons cons 1246 ref subst 1443 ref 111 ref 652 ref 49 ref 21 ref 7874 remove 36 ref appTerm betaConv 7961 def absThm appThm appThm 49 ref 21 ref 7957 ref 36 ref appTerm betaConv 7962 def absThm appThm appThm appThm 49 ref 21 ref 652 ref 7961 remove appThm 7962 remove appThm absThm appThm appThm nil 4875 ref 7893 remove cons 4966 ref 7957 remove nil cons cons nil cons cons nil cons cons 190 ref 1501 ref 63 ref 1509 remove appTerm 1505 remove appTerm absTerm 7963 def 1503 ref appTerm 7964 def betaConv 154 ref 1480 ref 7963 ref appTerm 7965 def absTerm 7966 def 155 ref appTerm 7967 def betaConv nil 1480 ref 7966 ref appTerm 7968 def axiom nil 59 ref 7968 remove nil cons cons 60 ref 7967 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 7966 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7965 remove nil cons cons 60 ref 7964 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 7963 remove nil cons cons 1516 ref cons nil cons cons 163 ref subst eqMp eqMp subst subst eqMp appThm trans sym nil 107 ref 22 ref 21 ref 70 ref 7873 remove appTerm 7956 remove appTerm absTerm 7969 def appTerm nil cons 7970 def cons 7971 def nil cons nil cons cons 7863 ref subst nil 59 ref 7970 remove cons 7972 def 1330 ref cons nil cons cons 7973 def 81 ref subst 7973 remove 152 ref subst 7969 ref 861 ref appTerm 7974 def betaConv nil 7972 remove 60 ref 7974 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 7969 remove nil cons cons 1093 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 70 ref 20 ref 7 ref 7868 ref 7869 ref 7730 ref appTerm 733 ref appTerm 7975 def appTerm 7976 def absTerm 7977 def appTerm 7978 def appTerm 7979 def 20 ref 7 ref 7868 ref 7869 ref 7732 remove appTerm 788 ref appTerm appTerm 7980 def absTerm 7981 def appTerm appTerm nil cons 7982 def cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 94 ref 7982 remove cons nil cons nil cons cons 1246 ref subst 1443 ref 111 ref 7979 remove refl 7983 def 48 ref 7 ref 7981 ref 34 ref appTerm betaConv 7984 def absThm appThm appThm appThm 48 ref 7 ref 7983 remove 7984 remove appThm absThm appThm appThm nil 4966 ref 7981 remove nil cons cons 59 ref 7978 remove nil cons cons nil cons cons nil cons cons 190 ref 2154 remove subst subst eqMp appThm trans sym 1443 ref 48 ref 7 ref 111 ref 652 ref 48 ref 7 ref 7977 ref 34 ref appTerm betaConv absThm appThm appThm 7980 ref refl 7985 def appThm appThm 48 ref 864 ref 652 ref 7977 ref 865 ref appTerm betaConv appThm 7985 remove appThm absThm appThm appThm nil 4875 ref 7977 remove nil cons cons 60 ref 7980 ref nil cons cons nil cons cons nil cons cons 190 remove 1575 remove subst subst eqMp absThm appThm appThm sym nil 107 ref 20 ref 7 ref 20 ref 864 ref 70 ref 70 ref 1237 ref 55 ref 865 ref appTerm 8 ref appTerm 7986 def appTerm 7987 def appTerm 7869 ref 38 ref 787 remove 865 ref appTerm appTerm 861 ref appTerm appTerm 5971 ref appTerm appTerm appTerm 7988 def 7980 remove appTerm absTerm appTerm absTerm 7989 def appTerm 7990 def nil cons cons nil cons nil cons cons 7863 ref subst nil 135 ref 23 ref 64 ref 7989 ref 31 ref appTerm 7991 def appTerm 1241 ref appTerm 7992 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 7992 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7991 ref nil cons 7993 def cons 1330 ref cons nil cons cons 7994 def 81 ref subst 7994 remove 152 ref subst 7991 ref betaConv 7991 remove assume eqMp nil 59 ref 20 ref 864 ref 7988 remove 70 ref 1237 ref 4757 ref appTerm appTerm 7869 ref 3126 remove 861 ref appTerm 7995 def appTerm 3127 remove appTerm 7996 def appTerm 7997 def appTerm absTerm 7998 def appTerm 7999 def nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 7 ref 64 ref 7998 ref 34 ref appTerm 8000 def appTerm 1241 ref appTerm 8001 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 8001 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 8000 ref nil cons 8002 def cons 1330 ref cons nil cons cons 8003 def 81 ref subst 8003 remove 152 ref subst 8000 ref betaConv 8000 remove assume eqMp nil 59 ref 70 ref 7976 remove appTerm 7997 remove appTerm nil cons 8004 def cons 8005 def 1330 ref cons nil cons cons 8006 def 132 ref subst proveHyp 8006 ref 81 ref subst 8006 remove 152 ref subst nil 8005 remove 60 ref 70 ref 1237 ref 4758 remove 1237 ref 7975 ref appTerm appTerm appTerm appTerm 1237 ref 1337 ref 5368 remove appTerm 8007 def 1237 ref 7996 ref appTerm appTerm appTerm appTerm nil cons 8008 def cons nil cons cons nil cons cons 132 ref subst nil 2913 remove 7996 remove nil cons cons 2914 ref 5377 ref cons 1642 ref 7975 remove nil cons cons 5641 remove cons cons cons nil cons cons nil 59 ref 70 ref 1763 remove 1657 ref appTerm 8009 def appTerm 70 ref 1237 ref 2917 ref appTerm 8010 def appTerm 2920 ref appTerm 8011 def appTerm nil cons 8012 def cons 60 ref 70 ref 1237 ref 1337 ref 2917 ref appTerm 1659 ref appTerm 8013 def appTerm 8014 def appTerm 1237 ref 1656 ref 1237 ref 2920 ref appTerm 8015 def appTerm 8016 def appTerm 8017 def appTerm nil cons 8018 def cons nil cons cons nil cons cons 8019 def 81 ref subst 8019 remove 152 ref subst nil 107 ref 8013 remove nil cons 8020 def cons 8021 def nil cons nil cons cons 7863 ref subst nil 59 ref 8020 remove cons 1330 ref cons nil cons cons 8022 def 81 ref subst 8022 remove 152 ref subst nil 59 ref 1676 ref cons 1330 ref cons nil cons cons 8023 def 81 ref subst 8023 remove 152 ref subst nil 107 ref 8009 remove nil cons cons 109 ref 8011 remove nil cons cons nil cons cons nil cons cons 8024 def 123 ref subst 8025 def nil 107 ref 1762 ref nil cons 8026 def cons 109 ref 1673 ref cons 8027 def nil cons cons nil cons cons 8028 def 687 ref subst proveHyp nil 59 ref 1673 ref cons 8029 def 1330 ref cons nil cons cons 132 ref subst 63 ref 1659 ref appTerm refl 1846 ref 1657 ref appTerm betaConv appThm 1847 ref 2447 remove appThm eqMp 1659 remove assume eqMp eqMp proveHyp eqMp nil 107 ref 1676 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp 63 ref 8010 ref appTerm refl 1846 ref 2917 ref appTerm betaConv appThm 1847 ref 2917 ref refl 8030 def appThm eqMp 8024 remove 687 ref subst 8031 def nil 107 ref 8010 ref nil cons cons 109 ref 2939 ref cons nil cons cons nil cons cons 8032 def 123 ref subst proveHyp eqMp nil 107 ref 2968 ref cons 8033 def 109 ref 1676 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 8021 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 8014 remove nil cons cons 60 ref 8017 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 107 ref 8016 remove nil cons 8034 def cons 8035 def nil cons nil cons cons 7863 ref subst nil 59 ref 8034 remove cons 1330 ref cons nil cons cons 8036 def 81 ref subst 8036 remove 152 ref subst nil 59 ref 8015 ref nil cons 8037 def cons 1330 ref cons nil cons cons 8038 def 81 ref subst 8038 remove 152 ref subst 8031 remove 8032 remove 687 ref subst proveHyp nil 59 ref 2939 remove cons 1330 ref cons nil cons cons 132 ref subst 63 ref 8015 ref appTerm refl 1846 ref 2920 ref appTerm betaConv appThm 1847 ref 2920 remove refl appThm eqMp 8015 remove assume eqMp eqMp proveHyp eqMp nil 107 ref 8037 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp 63 ref 1762 remove appTerm refl 1846 ref 1651 ref appTerm betaConv appThm 1847 ref 1651 ref refl appThm eqMp 8025 remove 8028 remove 123 ref subst proveHyp eqMp nil 107 ref 1701 ref cons 8039 def 109 ref 8037 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 8035 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 107 ref 8012 remove cons 109 ref 8018 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 8008 ref cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 94 ref 8008 remove cons nil cons nil cons cons 1246 ref subst 1443 ref 652 ref 1443 ref 1371 ref 4756 ref refl 4820 ref appThm appThm nil 735 ref 23 ref 7741 remove cons nil cons cons nil cons cons 7943 ref subst appThm nil 7742 remove 736 ref cons nil cons cons 4779 ref subst trans appThm appThm 1443 ref 8007 ref refl nil 5801 remove 23 ref 7995 ref nil cons 8040 def cons nil cons cons nil cons cons 7943 ref subst appThm nil 879 ref 8040 remove cons 5802 remove cons nil cons cons 4779 remove subst trans appThm appThm appThm trans sym 1443 ref 652 ref nil 7 ref 32 ref 7730 remove appTerm 8041 def nil cons 8042 def cons 3247 ref cons nil cons cons 7888 ref subst appThm nil 7 ref 35 ref 7995 remove appTerm 8043 def nil cons cons 8044 def 23 ref 3241 remove cons nil cons cons nil cons cons 7888 ref subst appThm appThm sym nil 107 ref 70 ref 7869 ref 8041 ref appTerm 3082 ref appTerm appTerm 7869 ref 8043 ref appTerm 3153 ref appTerm appTerm nil cons 8045 def cons 8046 def nil cons nil cons cons 7863 ref subst nil 59 ref 8045 remove cons 8047 def 1330 ref cons nil cons cons 8048 def 81 ref subst 8048 remove 152 ref subst nil 8047 remove 60 ref 7869 ref 38 ref 8041 remove appTerm 8043 remove appTerm 8049 def appTerm 3239 ref 3153 ref appTerm 8050 def appTerm nil cons 8051 def cons nil cons cons nil cons cons 132 ref subst nil 3242 remove 8044 remove 5643 ref 23 ref 8042 remove cons nil cons cons cons cons nil cons cons 876 ref 64 ref 70 ref 7932 ref 883 ref appTerm appTerm 7881 ref 886 ref appTerm appTerm appTerm 7869 ref 40 ref appTerm 889 remove appTerm appTerm absTerm 8052 def 886 ref appTerm 8053 def betaConv 879 ref 22 ref 8052 ref appTerm 8054 def absTerm 8055 def 883 ref appTerm 8056 def betaConv 7 ref 22 ref 8055 ref appTerm 8057 def absTerm 8058 def 34 ref appTerm 8059 def betaConv 23 ref 22 ref 8058 ref appTerm 8060 def absTerm 8061 def 31 ref appTerm 8062 def betaConv nil 22 ref 8061 ref appTerm 8063 def axiom nil 59 ref 8063 remove nil cons cons 60 ref 8062 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8061 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8060 remove nil cons cons 60 ref 8059 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8058 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8057 remove nil cons cons 60 ref 8056 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8055 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8054 remove nil cons cons 60 ref 8053 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8052 remove nil cons cons 904 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 8051 ref cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 94 ref 8051 remove cons nil cons nil cons cons 1246 ref subst nil 7 ref 8050 ref nil cons cons 23 ref 8049 remove nil cons cons nil cons cons nil cons cons 7943 remove subst trans sym 26 ref 8050 remove appTerm 8064 def refl 8065 def 3487 ref nil 879 ref 907 remove cons 8066 def 5790 ref cons nil cons cons 3199 ref subst 7366 ref refl 8067 def nil 7737 ref 7738 ref nil cons cons nil cons cons 3199 ref subst appThm trans appThm nil 8066 remove 3203 remove cons nil cons cons 3199 ref subst 3240 ref refl 8068 def nil 7737 ref 7738 ref 167 ref cons cons nil cons cons 3199 ref subst appThm trans appThm appThm sym 8065 remove nil "f" 3 ref var 8069 def 35 ref 850 ref appTerm 8070 def nil cons cons "e" 3 ref var 8071 def 35 ref 838 ref appTerm 8072 def nil cons cons 5547 ref 3243 remove cons 5609 ref 32 ref 850 ref appTerm 8073 def nil cons cons 4664 ref 32 ref 838 ref appTerm 8074 def nil cons cons 5689 ref 3245 remove cons nil cons cons cons cons cons cons nil cons cons 4802 ref nil 879 ref 5688 ref 38 ref 8071 ref varTerm 8075 def appTerm 8069 ref varTerm 8076 def appTerm 8077 def appTerm 8078 def nil cons cons 8079 def 7 ref 6203 ref 5610 ref appTerm nil cons cons 6201 ref cons 8080 def cons nil cons cons 5177 ref subst 6207 ref nil 8079 remove 6204 ref 23 ref 5841 remove cons nil cons 8081 def cons 8082 def cons nil cons cons 5177 ref subst appThm trans appThm nil 879 ref 6206 ref 6199 ref 8076 ref appTerm 8083 def appTerm nil cons cons 8084 def 7 ref 6203 ref 8075 ref appTerm nil cons cons 5856 ref cons cons nil cons cons 5177 ref subst 5837 remove nil 8084 remove 7 ref 8075 ref nil cons 8085 def cons 8086 def 8081 ref cons cons nil cons cons 5177 ref subst 6203 ref refl 8087 def nil 879 ref 8083 remove nil cons cons 7 ref 5921 remove cons 8088 def 23 ref 8085 ref cons nil cons 8089 def cons cons nil cons cons 5179 ref subst 6207 ref nil 879 ref 8076 ref nil cons cons 8090 def 6204 ref 8089 remove cons cons nil cons cons 5179 ref subst appThm trans appThm nil 879 ref 6199 ref 8077 ref appTerm 8091 def nil cons cons 8092 def 8088 ref 8081 ref cons 8093 def cons nil cons cons 5179 ref subst trans trans appThm nil 879 ref 6203 ref 8091 remove appTerm nil cons cons 8088 ref 5856 ref cons 8094 def cons nil cons cons 5179 ref subst 6207 ref nil 8092 remove 5842 remove 5856 ref cons 8095 def cons nil cons cons 5179 ref subst 8087 ref nil 879 ref 8077 remove nil cons cons 6204 ref 5856 ref cons cons nil cons cons 5179 ref subst appThm trans appThm trans trans trans appThm nil 136 ref 6206 ref 6203 ref 6199 ref 8078 remove appTerm appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans sym 100 ref eqMp subst appThm sym 652 ref 26 ref 3082 ref appTerm 8096 def refl 8097 def 8068 ref nil 881 ref nil cons nil cons cons 879 ref 55 ref 3213 remove appTerm 3211 remove appTerm 8098 def absTerm 8099 def 883 ref appTerm 8100 def betaConv 7 ref 22 ref 8099 ref appTerm 8101 def absTerm 8102 def 34 ref appTerm 8103 def betaConv 23 ref 22 ref 8102 ref appTerm 8104 def absTerm 8105 def 31 ref appTerm 8106 def betaConv 49 ref 23 ref 49 ref 7 ref 49 ref 879 ref 8098 remove assume sym 3214 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 3224 remove eqMp nil 59 ref 22 ref 8105 ref appTerm nil cons cons 60 ref 8106 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8105 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8104 remove nil cons cons 60 ref 8103 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8102 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8101 remove nil cons cons 60 ref 8100 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8099 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 8107 def subst appThm appThm appThm 26 ref 3153 remove appTerm 8108 def refl 8109 def 8067 ref nil 7737 remove nil cons nil cons cons 8107 ref subst appThm appThm appThm sym 8097 remove 8068 remove nil 7738 remove 4755 ref cons nil cons cons 4293 ref subst 8110 def appThm appThm sym 7 ref 70 ref 8096 ref 3240 ref 3141 ref appTerm appTerm 8111 def appTerm 26 ref 3085 ref appTerm 8112 def 3239 ref 3141 remove appTerm appTerm 8113 def appTerm absTerm 8114 def 34 ref appTerm 8115 def betaConv 23 ref 22 ref 8114 ref appTerm 8116 def absTerm 8117 def 31 ref appTerm 8118 def betaConv 49 ref 23 ref 49 ref 7 ref nil 3234 ref 7336 remove 3247 ref cons 8119 def cons nil cons cons 5992 ref subst absThm appThm absThm appThm 3146 remove assume eqMp nil 59 ref 22 ref 8117 ref appTerm nil cons cons 60 ref 8118 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8117 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8116 remove nil cons cons 60 ref 8115 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8114 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 107 ref 8111 remove nil cons cons 109 ref 8113 remove nil cons cons nil cons cons nil cons cons 123 ref subst proveHyp eqMp nil 59 ref 8096 ref 3240 ref 3210 ref 838 ref appTerm appTerm appTerm nil cons cons 60 ref 8108 ref 7366 ref 3210 ref 850 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 8109 remove 8067 remove nil 3207 ref 4755 remove cons nil cons cons 4293 ref subst appThm appThm sym 7 ref 70 ref 26 ref 3152 remove appTerm 7367 remove 3167 ref appTerm appTerm 8120 def appTerm 8108 ref 7366 ref 3167 remove appTerm appTerm 8121 def appTerm absTerm 8122 def 34 ref appTerm 8123 def betaConv 23 ref 22 ref 8122 ref appTerm 8124 def absTerm 8125 def 31 ref appTerm 8126 def betaConv 49 ref 23 ref 49 ref 7 ref nil 879 ref 3232 remove cons 5812 remove cons nil cons cons 5992 ref subst absThm appThm absThm appThm 3172 remove assume eqMp nil 59 ref 22 ref 8125 ref appTerm nil cons cons 60 ref 8126 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8125 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8124 remove nil cons cons 60 ref 8123 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8122 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 107 ref 8120 remove nil cons cons 109 ref 8121 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp eqMp eqMp eqMp nil 59 ref 70 ref 8096 ref 3240 ref 38 ref 8074 remove appTerm 8072 remove appTerm appTerm 8127 def appTerm appTerm 8108 remove 7366 remove 38 ref 8073 remove appTerm 8070 remove appTerm appTerm 8128 def appTerm appTerm nil cons cons 60 ref 8064 remove 38 ref 8127 ref appTerm 8128 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 8128 remove nil cons cons 879 ref 8127 remove nil cons cons 5810 remove 3247 remove cons cons cons nil cons cons 905 ref subst eqMp eqMp eqMp eqMp eqMp eqMp nil 8046 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 107 ref 8004 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 8002 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 7998 ref 1065 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7999 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7998 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 7993 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 7989 ref 1065 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7990 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 7989 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp eqMp eqMp nil 7971 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 7862 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 3270 remove 109 ref 7844 remove cons nil cons 8129 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 3272 remove 8129 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3273 remove 7843 ref appTerm absTerm appTerm nil cons cons 60 ref 3274 remove 7843 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3275 remove 8129 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 3276 ref 8129 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 3277 ref 8129 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3278 ref 7843 ref appTerm absTerm appTerm nil cons cons 60 ref 3279 ref 7843 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3280 ref 8129 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp 8130 def eqMp absThm eqMp eqMp absThm eqMp 8131 def eqMp 8132 def nil 59 ref 416 ref 7827 ref appTerm nil cons cons 8133 def 60 ref 7828 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7827 ref nil cons cons 8134 def 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7826 remove nil cons cons 60 ref 7825 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 7824 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp 8135 def eqMp subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans absThm appThm 554 ref trans absThm appThm 554 ref trans trans sym 100 ref eqMp eqMp 8136 def nil 574 ref 3635 ref 574 ref 3999 ref 1337 ref 7786 ref appTerm 7788 ref appTerm absTerm appTerm absTerm 8137 def appTerm 8138 def thm 292 ref 293 ref 292 ref 294 ref 292 ref 562 ref 651 ref 7793 remove appThm nil 3652 ref 356 remove 563 ref appTerm 8139 def nil cons cons 4135 remove cons nil cons cons 7636 ref subst 6793 ref refl 8140 def 3990 remove appThm 6732 remove 3989 ref subst appThm trans appThm absThm appThm 111 ref 292 ref 562 ref "_17146" 394 ref var 8141 def 64 ref 7795 remove 8141 remove varTerm 8142 def appTerm appTerm 6793 ref 4142 remove appTerm 3995 ref 8142 remove appTerm appTerm appTerm absTerm 8143 def 4137 remove appTerm betaConv absThm appThm appThm 3998 ref 4144 ref 8143 ref 4145 ref appTerm betaConv absThm appThm appThm nil 3622 ref 8143 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 294 ref "_17148" 394 ref var 8144 def 574 ref 4144 ref 64 ref 6793 ref 8144 remove varTerm 8145 def appTerm 4145 ref appTerm appTerm 6793 ref 3995 ref 8145 remove appTerm appTerm 3995 remove 4145 ref appTerm appTerm appTerm absTerm appTerm absTerm 8146 def 405 ref appTerm betaConv absThm appThm appThm 3998 ref 3999 ref 8146 ref 4000 ref appTerm betaConv absThm appThm appThm nil 3622 ref 8146 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 293 ref "_17150" 394 ref var 8147 def 574 ref 3999 ref 574 ref 4144 ref 64 ref 7803 ref appTerm 8148 def 6793 ref 3679 ref 8147 remove varTerm appTerm 8149 def 4000 ref appTerm appTerm 8149 remove 4145 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8150 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 8150 ref 3636 ref appTerm betaConv 8151 def absThm appThm appThm nil 3622 ref 8150 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 291 ref 294 ref 291 ref 562 ref 64 ref 7175 remove appTerm 8152 def 6784 ref 357 remove appTerm 8139 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8153 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 8153 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 8153 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 291 ref 562 ref 8152 remove 6784 ref 3786 remove appTerm 3785 remove 563 ref appTerm 8154 def appTerm appTerm absTerm appTerm absTerm 8155 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 8155 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 8155 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 111 ref 292 ref 562 ref 562 remove 64 ref 7198 remove appTerm 6784 ref 4156 remove appTerm 8154 remove appTerm appTerm absTerm 8156 def 563 remove appTerm betaConv absThm appThm appThm 417 ref 646 ref 417 ref 647 ref 8156 ref 650 remove appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 8156 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 646 ref 417 ref 647 ref 651 ref 7201 remove appThm 6784 ref refl 8157 def 3819 remove appThm 3877 remove appThm nil 453 ref 3885 ref cons 456 ref 3887 remove cons 4166 remove cons cons nil cons cons 6890 ref subst trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm trans absThm appThm absThm appThm trans sym 417 ref 418 ref 417 ref 419 ref 417 ref 599 ref 417 ref 600 ref 417 ref 646 ref 417 ref 647 ref 64 ref 7202 remove appTerm 8158 def refl 6892 ref nil 3420 ref 3885 ref cons 4160 remove cons nil cons cons 3494 ref subst appThm nil 3420 ref 3825 ref cons 3585 remove 3897 remove cons cons nil cons cons 3494 ref subst appThm nil 3500 ref 661 remove 3824 remove appTerm 8159 def nil cons cons 3502 ref 614 ref 3884 remove appTerm 8160 def nil cons cons 6403 remove cons cons nil cons cons 7561 ref subst trans appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm nil 94 ref 416 ref 419 ref 416 ref 599 ref 416 ref 600 ref 416 ref 646 ref 416 ref 647 ref 8158 remove 6778 ref 8160 remove appTerm 8159 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 553 remove subst trans sym 417 ref 419 ref 417 ref 599 ref 417 ref 600 ref 417 ref 646 ref 417 ref 647 ref 651 ref 6892 ref nil 3423 remove nil cons cons 3416 ref subst appThm nil 3891 remove 302 ref 655 remove cons nil cons 8161 def cons nil cons cons 3416 ref subst appThm appThm 6892 ref nil 303 ref 3885 remove cons 3422 remove cons nil cons cons 3416 ref subst appThm nil 303 ref 3825 remove cons 8161 remove cons nil cons cons 3416 ref subst appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym 417 ref 419 ref 417 ref 599 ref 417 ref 600 ref 417 ref 646 remove 417 ref 647 remove 64 ref 6778 ref 3503 remove 601 ref appTerm 8162 def appTerm 3879 ref 648 remove appTerm 8163 def appTerm 8164 def appTerm refl 6892 ref nil 3420 ref 606 remove cons 3421 remove 3586 remove cons cons nil cons cons 3494 ref subst appThm 6644 remove 3494 ref subst appThm nil 3500 ref 8163 remove nil cons cons 3502 ref 8162 remove nil cons cons 6504 remove cons cons nil cons cons 7561 ref subst trans appThm nil 94 ref 8164 remove nil cons cons nil cons nil cons cons 2485 ref subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans absThm appThm 554 ref trans absThm appThm 554 ref trans absThm appThm 554 ref trans sym 100 ref eqMp eqMp eqMp eqMp eqMp 8165 def nil 574 ref 3635 ref 574 ref 3999 ref 574 ref 4144 ref 8148 ref 6793 ref 4122 remove appTerm 4121 ref 4145 ref appTerm appTerm 8166 def appTerm absTerm 8167 def appTerm 8168 def absTerm 8169 def appTerm 8170 def absTerm 8171 def appTerm 8172 def thm 292 ref 293 ref 292 ref 294 ref 651 ref 652 ref 4196 remove 7636 ref subst 8140 ref 4212 ref appThm 8173 def 4213 ref appThm trans appThm nil 3653 remove 4195 ref cons nil cons cons 7636 ref subst 8173 ref 405 ref refl appThm trans appThm appThm nil 3652 ref 4468 remove cons 4195 ref cons nil cons cons 7636 ref subst 8173 remove 6533 remove appThm trans appThm absThm appThm 111 ref 292 ref 294 ref "_17156" 394 ref var 8174 def 64 ref 70 ref 6793 ref 4215 ref appTerm 8175 def 402 ref appTerm appTerm 8175 ref 8174 remove varTerm 8176 def appTerm appTerm appTerm 8175 ref 6535 remove 8176 remove appTerm appTerm appTerm absTerm 8177 def 405 remove appTerm betaConv absThm appThm appThm 3998 ref 3999 ref 8177 ref 4000 ref appTerm betaConv absThm appThm appThm nil 3622 ref 8177 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans absThm appThm 111 ref 292 ref 293 ref "_17158" 394 ref var 8178 def 574 ref 3999 ref 64 ref 70 ref 8175 ref 8178 remove varTerm 8179 def appTerm appTerm 8175 ref 4000 ref appTerm 8180 def appTerm appTerm 8175 ref 4479 ref 8179 remove appTerm 4000 ref appTerm appTerm appTerm absTerm appTerm absTerm 8181 def 402 ref appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 8181 ref 3636 ref appTerm betaConv absThm appThm appThm nil 3622 ref 8181 remove nil cons cons nil cons nil cons cons 4006 ref subst eqMp trans 111 ref 292 ref 293 ref 293 ref 291 ref 294 ref 64 ref 70 ref 6784 remove 4192 ref appTerm 8182 def 354 ref appTerm appTerm 8182 ref 352 ref appTerm 8183 def appTerm appTerm 8182 ref 4467 remove appTerm appTerm absTerm appTerm absTerm 8184 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 8184 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 8184 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 64 ref 70 ref 8182 ref 422 ref appTerm appTerm 8183 remove appTerm appTerm 8182 ref 4534 remove appTerm appTerm absTerm 8185 def 352 ref appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 8185 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 8185 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp 417 ref 599 ref 417 ref 600 ref 651 ref 652 ref 8157 ref 4222 ref appThm 8186 def 4223 remove appThm 4228 remove 6890 ref subst trans appThm 8186 ref 603 ref refl appThm nil 605 remove 607 remove 4227 ref cons cons nil cons cons 6890 ref subst trans appThm appThm 8186 ref 4567 remove appThm nil 453 ref 6588 ref cons 456 ref 6589 ref cons 4227 ref cons cons nil cons cons 6890 ref subst trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm trans sym nil 659 ref 418 ref 416 ref 419 ref 416 ref 599 ref 416 ref 600 ref 64 ref 70 ref 6778 ref 4230 ref 421 ref appTerm appTerm 543 remove 4188 ref appTerm appTerm appTerm 6778 ref 4230 ref 602 ref appTerm appTerm 614 remove 4188 ref appTerm appTerm appTerm appTerm 6778 ref 4230 ref 6587 ref appTerm appTerm 338 ref 4573 ref appTerm 4188 ref appTerm appTerm appTerm 8187 def absTerm 8188 def appTerm 8189 def absTerm 8190 def appTerm 8191 def absTerm 8192 def appTerm 8193 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 418 ref nil 94 ref 8193 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 8192 remove nil cons cons nil cons nil cons cons 679 ref subst 419 ref nil 94 ref 8191 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 8190 remove nil cons cons nil cons nil cons cons 679 ref subst 599 ref nil 94 ref 8189 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 8188 remove nil cons cons nil cons nil cons cons 679 ref subst 600 ref nil 94 ref 8187 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref 652 ref 6892 ref 4315 remove appThm 6728 remove appThm appThm 6892 ref nil 3822 ref nil cons cons 4313 ref subst appThm nil 6503 remove nil cons nil cons cons 4429 ref subst appThm appThm appThm 6892 ref nil 302 ref 6588 remove cons nil cons nil cons cons 4313 ref subst appThm nil 3502 ref 6589 remove cons nil cons nil cons cons 4429 ref subst appThm appThm sym nil 59 ref 70 ref 6778 ref 421 ref appTerm 420 remove appTerm 8194 def appTerm 6778 ref 602 ref appTerm 601 ref appTerm 8195 def appTerm nil cons 8196 def cons 60 ref 6778 ref 6587 remove appTerm 4573 remove appTerm 8197 def nil cons 8198 def cons nil cons 8199 def cons nil cons cons 8200 def 81 ref subst 8200 remove 152 ref subst nil 107 ref 8194 remove nil cons 8201 def cons 109 ref 8195 remove nil cons 8202 def cons nil cons cons nil cons cons 8203 def 123 ref subst 8203 remove 687 ref subst nil 59 ref 8202 remove cons 60 ref 1109 ref 6392 ref 365 ref 601 ref appTerm 3879 remove 6400 ref appTerm 8204 def appTerm 8205 def absTerm 8206 def appTerm 8207 def nil cons 8208 def cons nil cons cons nil cons cons 132 ref subst nil 3904 remove 3822 remove cons nil cons cons 7464 ref subst eqMp nil 59 ref 8208 remove cons 8199 ref cons nil cons cons 132 ref subst proveHyp nil 659 ref 6392 ref 64 ref 8206 ref 6400 ref appTerm 8209 def appTerm 8197 ref appTerm 8210 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 6392 ref nil 94 ref 8210 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 8209 ref nil cons 8211 def cons 8199 ref cons nil cons cons 8212 def 81 ref subst 8212 remove 152 ref subst 8209 ref betaConv 8209 remove assume eqMp nil 59 ref 8205 ref nil cons 8213 def cons 8199 remove cons nil cons cons 8214 def 132 ref subst proveHyp 8214 ref 81 ref subst 8214 remove 152 ref subst 63 ref "_16970" 285 ref var 8215 def 6778 ref 4576 ref 4571 ref 8215 remove varTerm 8216 def appTerm appTerm appTerm 338 ref 4568 ref 8216 remove appTerm appTerm 4572 ref appTerm appTerm absTerm 8217 def 601 remove appTerm 8218 def appTerm refl 8217 ref 8204 ref appTerm betaConv appThm 111 ref 8218 remove betaConv appThm 6778 ref 4576 remove 4571 ref 8204 ref appTerm appTerm appTerm 338 ref 4568 ref 8204 remove appTerm appTerm 4572 ref appTerm appTerm refl appThm trans 8217 remove refl 8205 remove assume appThm eqMp sym 6892 ref 4577 remove nil 7557 ref 4162 remove cons nil cons cons 6500 ref subst appThm appThm 684 ref nil 7557 remove 3898 remove cons nil cons cons 6500 ref subst appThm 4572 ref refl appThm nil 3420 ref 6591 ref cons 303 ref 4568 ref 6400 ref appTerm 8219 def nil cons 8220 def cons 302 ref 6343 remove cons nil cons cons cons nil cons cons 3494 ref subst trans appThm nil 3500 ref 338 ref 8219 ref appTerm 4572 remove appTerm nil cons cons 3502 ref 6747 remove 4571 ref 6400 ref appTerm 8221 def appTerm 8222 def nil cons cons 6646 remove cons cons nil cons cons 7561 ref subst trans sym 6778 ref 8222 remove appTerm refl nil 303 ref 6591 remove cons 302 ref 8220 ref cons nil cons cons nil cons cons 3416 ref subst appThm sym nil 3500 ref 8220 remove cons 3502 ref 8221 ref nil cons cons 6752 remove cons cons nil cons cons 7561 remove subst sym nil 59 ref 8201 remove cons 60 ref 6778 ref 8221 remove appTerm 8219 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 419 ref 457 remove cons 6394 remove 6419 ref cons 418 ref 454 remove cons nil cons cons cons nil cons cons 651 ref 7499 remove appThm nil 3502 ref 4571 remove 6398 ref appTerm 8223 def nil cons cons 3504 ref 4568 remove 6398 ref appTerm 8224 def nil cons cons nil cons cons nil cons cons 7498 remove subst appThm sym nil 659 ref 6392 ref 64 ref 7505 remove 6400 ref appTerm 8225 def appTerm 1109 ref 6392 ref 365 ref 8223 remove appTerm 338 ref 8224 remove appTerm 8226 def 6400 ref appTerm 8227 def appTerm absTerm appTerm 8228 def appTerm 8229 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 6392 ref nil 94 ref 8229 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 8225 ref nil cons 8230 def cons 60 ref 8228 ref nil cons 8231 def cons nil cons 8232 def cons nil cons cons 8233 def 81 ref subst 8233 remove 152 ref subst 8225 ref betaConv 8225 remove assume eqMp nil 59 ref 7504 ref nil cons 8234 def cons 8232 remove cons nil cons cons 8235 def 132 ref subst proveHyp 8235 ref 81 ref subst 8235 remove 152 ref subst 63 ref "_16857" 285 ref var 8236 def 1109 ref 6392 ref 365 ref 4453 ref 8236 remove varTerm appTerm 6398 ref appTerm appTerm 8227 remove appTerm absTerm appTerm absTerm 8237 def 421 ref appTerm 8238 def appTerm refl 8237 ref 7503 ref appTerm betaConv appThm 111 ref 8238 remove betaConv appThm 1109 ref 7507 remove 365 ref 4453 ref 7503 remove appTerm 6398 ref appTerm appTerm 8226 remove 7509 remove appTerm appTerm absTerm 8239 def appTerm refl appThm trans 8237 remove refl 7504 remove assume appThm eqMp sym 8239 ref 4453 ref 6400 ref appTerm 6398 remove appTerm 8240 def appTerm betaConv sym nil 6424 remove 6421 remove cons nil cons cons 6604 remove subst eqMp 509 ref 659 ref 8239 remove nil cons cons 302 ref 8240 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp eqMp nil 107 ref 8234 remove cons 109 ref 8231 remove cons nil cons 8241 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 8230 remove cons 8241 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 416 ref 302 ref 7544 remove 8228 ref appTerm absTerm appTerm nil cons cons 60 ref 7545 remove 8228 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 7546 remove 8241 remove cons nil cons cons 1090 ref subst eqMp eqMp subst eqMp eqMp eqMp eqMp eqMp eqMp nil 107 ref 8213 remove cons 109 ref 8198 remove cons nil cons 8242 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 8211 remove cons 8242 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 416 ref 302 ref 64 ref 8206 ref 328 ref appTerm appTerm 8197 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 8207 remove appTerm 8197 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 8206 remove nil cons cons 8242 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 8196 remove cons 8242 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp nil 574 ref 3635 ref 574 ref 3999 ref 64 ref 70 ref 8175 ref 3636 ref appTerm 8243 def appTerm 8180 ref appTerm appTerm 8175 ref 6543 remove appTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 293 ref 651 ref 1443 ref nil 4319 remove nil cons nil cons cons 3651 ref subst 403 remove refl 4212 remove appThm trans appThm appThm nil 294 ref 6663 remove cons 293 ref 4463 ref "HOLLight.treal_inv" "_16939" 288 ref var 8244 def "Data.Bool.cond" const 8245 def 1 ref 16 ref 350 remove nil cons cons opType constTerm 8246 def 365 ref 341 ref 8244 ref varTerm 8247 def appTerm 8248 def appTerm 8249 def 345 ref 8247 ref appTerm 8250 def appTerm appTerm 301 ref 4188 ref appTerm 8251 def 4188 ref appTerm 8252 def appTerm 8246 ref 6778 ref 8250 ref appTerm 8248 ref appTerm appTerm 301 ref "HOLLight.hreal_inv" 302 ref 305 ref 306 ref 218 ref 219 ref 70 ref 232 ref "HOLLight.nadd_inv" "_16614" 214 ref var 8253 def 8245 ref 1 ref 16 ref 317 remove nil cons cons opType constTerm 8254 def 232 ref 8253 ref varTerm 8255 def appTerm 4236 ref appTerm appTerm 4236 ref appTerm 310 ref "HOLLight.nadd_rinv" "_16601" 214 ref var 8256 def 7 ref "Number.Natural.div" const 28 ref constTerm 8257 def 35 ref 34 ref appTerm 8258 def appTerm 8259 def 224 ref 8256 ref varTerm 8260 def appTerm 34 ref appTerm appTerm absTerm absTerm 8261 def defineConst 8262 def pop 223 remove constTerm 8263 def 8255 ref appTerm appTerm appTerm absTerm 8264 def defineConst 8265 def pop 316 remove constTerm 8266 def 233 ref appTerm 8267 def appTerm 8268 def 323 ref appTerm 8269 def appTerm 8270 def 330 remove appTerm absTerm appTerm absTerm appTerm absTerm 8271 def defineConst 8272 def pop 336 remove constTerm 8273 def 1113 ref 1 ref 362 ref 286 ref cons opType constTerm 8274 def 6392 ref 8249 remove 338 ref 8250 ref appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 8250 remove appTerm 338 ref 8248 remove appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm appTerm appTerm appTerm absTerm 8275 def defineConst 8276 def pop 349 remove constTerm 8277 def 354 ref appTerm 8278 def appTerm 354 ref appTerm 8279 def nil cons cons nil cons cons nil cons cons 3651 ref subst 3626 ref nil 3991 remove 3654 ref 8278 ref nil cons 8280 def cons nil cons cons nil cons cons 6532 ref subst 6549 ref 398 ref 401 ref 373 ref 8278 remove appTerm 8281 def appTerm 8282 def appTerm "Number.Real.inv" 3635 ref 401 ref 3665 ref 378 ref 293 ref 70 ref 8281 ref 3666 ref appTerm 8283 def appTerm 8284 def 3643 ref 354 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8285 def defineConst 8286 def pop 3676 ref constTerm 8287 def 402 ref appTerm 8288 def appTerm assume sym 398 ref 8288 remove appTerm 8289 def 8282 remove appTerm assume sym deductAntisym 8289 ref refl 3686 ref 3687 ref 3688 remove 8281 ref nil cons cons nil cons nil cons cons 2998 ref subst appThm appThm 63 ref "_17042" 289 ref var 8290 def 8289 ref 401 ref 3665 ref 378 ref 381 ref 70 ref 373 ref 8277 ref 382 ref appTerm 8291 def appTerm 3666 remove appTerm 8292 def appTerm 8293 def 8290 remove varTerm 382 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 8294 def 577 ref 402 ref appTerm appTerm 8295 def appTerm refl 8294 ref 374 ref appTerm betaConv appThm 111 ref 8295 remove betaConv appThm 8289 remove 401 ref 3665 ref 378 ref 381 ref 8293 remove 374 ref 382 ref appTerm 8296 def appTerm 8297 def absTerm 8298 def appTerm 8299 def absTerm appTerm appTerm refl appThm trans 8294 remove refl 3718 remove appThm eqMp nil 3635 ref 402 ref nil cons cons nil cons nil cons cons 398 ref 8287 ref 3636 ref appTerm 8300 def appTerm refl 8285 remove 3636 ref appTerm betaConv appThm 8286 remove 3636 ref refl 8301 def appThm eqMp subst eqMp 3686 ref 3665 remove nil 59 ref 8299 ref nil cons 8302 def cons 60 ref 8283 ref nil cons 8303 def cons nil cons 8304 def cons nil cons cons 1845 ref subst nil 386 ref 381 ref 64 ref 8298 ref 382 ref appTerm 8305 def appTerm 8283 ref appTerm 8306 def absTerm 8307 def nil cons cons nil cons nil cons cons 3735 ref subst 381 ref nil 94 ref 8306 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 8305 ref nil cons 8308 def cons 8304 ref cons nil cons cons 8309 def 81 ref subst 8309 remove 152 ref subst 8305 ref betaConv 8310 def 8305 remove assume eqMp nil 59 ref 8297 ref nil cons 8311 def cons 8312 def 8304 ref cons nil cons cons 8313 def 132 ref subst proveHyp 8313 ref 81 ref subst 8313 remove 152 ref subst nil 107 ref 8292 ref nil cons 8314 def cons 109 ref 8296 remove nil cons 8315 def cons nil cons cons nil cons cons 8316 def 687 ref subst nil 59 ref 8315 remove cons 60 ref 8281 ref 8291 ref appTerm 8317 def nil cons 8318 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 294 ref 382 remove nil cons 8319 def cons nil cons nil cons cons 294 ref 6854 remove 8281 remove 8277 ref 352 ref appTerm 8320 def appTerm appTerm absTerm 8321 def 352 ref appTerm 8322 def betaConv 293 ref 291 ref 8321 ref appTerm 8323 def absTerm 8324 def 354 ref appTerm 8325 def betaConv 8326 def 111 ref 292 ref 293 ref 8326 remove absThm appThm appThm 417 ref 418 ref 417 ref 419 ref 8324 ref 422 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 8324 ref nil cons 8327 def cons nil cons nil cons cons 452 ref subst eqMp 417 ref 418 ref 417 ref 419 ref 111 ref 292 ref 294 ref 294 ref 6864 remove 373 ref 8277 ref 422 ref appTerm appTerm 8320 remove appTerm appTerm absTerm 8328 def 352 remove appTerm betaConv absThm appThm appThm 417 ref 599 ref 417 ref 600 ref 8328 ref 603 ref appTerm betaConv absThm appThm absThm appThm appThm nil 423 ref 8328 remove nil cons cons nil cons nil cons cons 452 ref subst eqMp absThm appThm absThm appThm trans sym nil 659 ref 460 ref 416 ref 419 ref 416 ref 599 ref 416 ref 600 ref 64 ref 373 ref 464 ref 421 ref appTerm 8329 def appTerm 603 ref appTerm appTerm 373 ref 8277 ref 8329 remove appTerm appTerm 8277 ref 603 ref appTerm 8330 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm 8331 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 460 ref nil 94 ref 8331 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 456 ref 416 ref 599 remove 416 ref 600 ref 64 ref 373 ref 464 remove 468 ref appTerm 8332 def appTerm 8333 def 603 remove appTerm appTerm 373 ref 8277 ref 8332 remove appTerm appTerm 8334 def 8330 remove appTerm appTerm absTerm appTerm absTerm appTerm 8335 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 456 ref nil 94 ref 8335 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 459 ref 416 ref 600 remove 64 ref 8333 ref 301 ref 465 ref appTerm 8336 def 602 remove appTerm 8337 def appTerm appTerm 8334 ref 8277 ref 8337 remove appTerm appTerm appTerm absTerm appTerm 8338 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 459 ref nil 94 ref 8338 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 453 ref 64 ref 8333 remove 8336 remove 469 ref appTerm 8339 def appTerm appTerm 8334 remove 8277 ref 8339 remove appTerm appTerm appTerm 8340 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 453 ref nil 94 ref 8340 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref nil 456 ref 506 ref cons 459 ref 538 ref cons nil cons cons nil cons cons 542 ref subst appThm 3773 ref nil 303 ref 538 ref cons 8341 def 302 ref 507 ref cons nil cons 8342 def cons nil cons cons 8343 def nil 8244 remove 4373 remove cons nil cons nil cons cons 8276 remove 8247 ref refl appThm 8275 remove 8247 remove appTerm betaConv trans subst 3776 ref "_16945" 285 ref var 8344 def 8246 ref 6717 ref 8344 ref varTerm 8345 def appTerm appTerm 8252 ref appTerm 8246 ref 6778 ref 8345 ref appTerm 8346 def 328 ref appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 6717 ref 338 ref 8345 ref appTerm 6400 ref appTerm 8347 def appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 8345 ref appTerm 8348 def 7229 ref appTerm absTerm appTerm appTerm appTerm appTerm appTerm absTerm 331 ref appTerm 8349 def appTerm refl 8344 ref 8246 ref 365 ref 4377 ref appTerm 8350 def 8345 ref appTerm appTerm 8252 ref appTerm 8246 ref 8346 ref 4377 ref appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 8350 ref 8347 ref appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8251 ref 8273 ref 8274 ref 6392 ref 8348 ref 338 ref 4377 ref appTerm 6400 ref appTerm 8351 def appTerm absTerm appTerm appTerm appTerm appTerm appTerm absTerm 8352 def 4379 ref appTerm betaConv appThm 3788 remove 8349 remove betaConv appThm 8246 ref 8350 ref 4379 ref appTerm appTerm 8252 ref appTerm 8246 ref 6778 ref 4379 ref appTerm 4377 ref appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 8350 remove 338 ref 4379 ref appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 4379 remove appTerm 8351 remove appTerm absTerm appTerm appTerm appTerm appTerm appTerm refl appThm trans 3798 remove "_16944" 285 ref var 8353 def 8344 remove 8246 ref 365 ref 8353 remove varTerm 8354 def appTerm 8355 def 8345 remove appTerm appTerm 8252 ref appTerm 8246 ref 8346 remove 8354 ref appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 8355 remove 8347 remove appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8251 ref 8273 ref 8274 ref 6392 ref 8348 remove 338 ref 8354 remove appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm appTerm appTerm appTerm absTerm absTerm 8356 def 328 ref appTerm 8357 def appTerm refl 8356 ref 4377 remove appTerm betaConv appThm 3805 remove 8357 remove betaConv appThm 8352 remove refl appThm trans 8356 remove refl 4385 remove appThm eqMp 4386 remove appThm eqMp sym trans 8358 def subst appThm nil 303 ref 537 ref cons 8359 def 302 ref 506 ref cons nil cons 8360 def cons nil cons cons 8358 ref subst appThm appThm sym nil 59 ref 1237 ref 365 ref 463 ref appTerm 8361 def 468 ref appTerm 8362 def appTerm nil cons 8363 def cons 8364 def 60 ref 64 ref 365 ref 473 ref 469 ref appTerm appTerm 8365 def 3790 ref 468 ref appTerm 8366 def appTerm 8367 def appTerm 8368 def 373 ref 8246 ref 8362 ref appTerm 8252 ref appTerm 8246 ref 6778 ref 468 ref appTerm 8369 def 463 ref appTerm 8370 def appTerm 301 ref 8273 ref 8274 ref 6392 ref 8361 remove 476 ref 6400 ref appTerm 8371 def appTerm absTerm 8372 def appTerm 8373 def appTerm appTerm 4188 ref appTerm 8374 def appTerm 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 468 ref appTerm 8375 def 473 ref 6400 ref appTerm 8376 def appTerm absTerm 8377 def appTerm 8378 def appTerm appTerm 8379 def appTerm 8380 def appTerm appTerm 8246 ref 365 ref 465 ref appTerm 8381 def 469 ref appTerm 8382 def appTerm 8252 ref appTerm 8246 ref 6778 ref 469 ref appTerm 8383 def 465 ref appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 8381 ref 338 ref 469 ref appTerm 8384 def 6400 ref appTerm 8385 def appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 469 ref appTerm 8386 def 3790 remove 6400 ref appTerm 8387 def appTerm absTerm appTerm appTerm appTerm appTerm 8388 def appTerm appTerm appTerm nil cons 8389 def cons nil cons 8390 def cons nil cons cons 8391 def 81 ref subst 8391 remove 152 ref subst nil 59 ref 1237 ref 8382 ref appTerm nil cons 8392 def cons 8393 def 8390 ref cons nil cons cons 8394 def 81 ref subst 8395 def 8394 remove 152 ref subst 8396 def 8368 remove refl 3773 ref 8246 ref refl 8397 def nil 8364 remove 60 ref 63 ref 8362 ref appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 107 ref 8362 ref nil cons 8398 def cons 8399 def nil cons nil cons cons 1855 ref subst eqMp 8400 def appThm 8252 ref refl 8401 def appThm 8380 ref refl appThm nil "t2" 288 ref var 8402 def 8380 ref nil cons cons "t1" 288 ref var 8403 def 8252 ref nil cons 8404 def cons nil cons 8405 def cons nil cons cons 3734 ref "t2" 139 ref var 8406 def 511 ref 8245 ref 1 ref 16 ref 1 ref 139 ref 2618 remove nil cons cons opType nil cons cons opType constTerm 8407 def 1241 ref appTerm "t1" 139 ref var 8408 def varTerm 8409 def appTerm 8406 ref varTerm 8410 def appTerm appTerm 8410 ref appTerm absTerm 8411 def 8410 ref appTerm 8412 def betaConv 8408 ref 142 ref 8411 ref appTerm 8413 def absTerm 8414 def 8409 ref appTerm 8415 def betaConv nil 142 ref 8414 ref appTerm 8416 def axiom nil 59 ref 8416 remove nil cons cons 60 ref 8415 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 8414 remove nil cons cons 147 ref 8409 ref nil cons cons nil cons 8417 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8413 remove nil cons cons 60 ref 8412 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 8411 remove nil cons cons 147 ref 8410 ref nil cons cons nil cons 8418 def cons nil cons cons 163 ref subst eqMp eqMp 8419 def subst 8420 def subst trans appThm 8421 def 8397 ref nil 8393 remove 60 ref 63 ref 8382 ref appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 107 ref 8382 ref nil cons 8422 def cons 8423 def nil cons nil cons cons 1855 ref subst eqMp appThm 8401 ref appThm 8388 ref refl 8424 def appThm nil 8402 ref 8388 ref nil cons cons 8405 ref cons nil cons cons 8420 ref subst trans 8425 def appThm appThm sym nil 59 ref 8367 ref nil cons 8426 def cons 60 ref 373 ref 8380 remove appTerm 8427 def 8388 ref appTerm nil cons 8428 def cons nil cons 8429 def cons nil cons cons 8430 def 81 ref subst 8430 remove 152 ref subst 8365 ref refl 8431 def nil 8341 ref 8360 ref cons nil cons cons 3416 ref subst 8432 def appThm 8367 remove assume eqMp nil 59 ref 8365 ref 477 ref appTerm nil cons 8433 def cons 8434 def 8429 ref cons nil cons cons 8435 def 132 ref subst proveHyp 8435 ref 81 ref subst 8435 remove 152 ref subst nil 59 ref 1237 ref 8370 ref appTerm nil cons 8436 def cons 8437 def 8429 ref cons nil cons cons 8438 def 81 ref subst 8438 remove 152 ref subst 3773 ref 8397 ref nil 8437 remove 60 ref 63 ref 8370 ref appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 107 ref 8370 ref nil cons 8439 def cons 8440 def nil cons nil cons cons 1855 ref subst eqMp 8441 def appThm 8374 ref refl 8442 def appThm 8379 ref refl 8443 def appThm nil 8402 ref 8379 ref nil cons cons 8403 ref 8374 ref nil cons cons nil cons cons nil cons cons 8444 def 8420 ref subst trans appThm 8424 ref appThm sym 651 ref 8441 remove appThm 373 ref 8379 remove appTerm 8388 ref appTerm 8445 def refl appThm nil 94 ref 8445 remove nil cons 8446 def cons nil cons nil cons cons 2444 ref subst trans sym 100 ref eqMp nil 59 ref 6778 ref 463 ref appTerm 8447 def 468 ref appTerm nil cons 8448 def cons 8449 def 60 ref 8446 ref cons nil cons 8450 def cons nil cons cons 8451 def 81 ref subst 8451 remove 152 ref subst nil 8434 ref 8450 remove cons nil cons cons 132 ref subst 63 ref "_17004" 285 ref var 8452 def 64 ref 8365 ref 338 ref 8452 remove varTerm 8453 def appTerm 465 ref appTerm appTerm appTerm 373 ref 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 8453 remove appTerm 8376 ref appTerm absTerm appTerm appTerm appTerm appTerm 8388 ref appTerm appTerm absTerm 8454 def 468 ref appTerm 8455 def appTerm refl 8454 ref 473 ref 8378 ref appTerm 8456 def appTerm betaConv appThm 111 ref 8455 remove betaConv appThm 64 ref 8365 ref 338 ref 8456 ref appTerm 465 ref appTerm appTerm appTerm 373 ref 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 8456 remove appTerm 8376 ref appTerm absTerm appTerm appTerm appTerm appTerm 8388 ref appTerm appTerm refl appThm trans 8454 remove refl 8377 ref 8378 ref appTerm 8457 def betaConv nil 8449 remove 60 ref 1109 ref 8377 ref appTerm nil cons 8458 def cons nil cons cons nil cons cons 132 ref subst 8343 remove 7464 ref subst eqMp nil 59 ref 8458 remove cons 60 ref 8457 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref "p" 362 ref var 8459 def 8377 remove nil cons cons nil cons nil cons cons nil 59 ref 204 ref 155 ref appTerm 8460 def nil cons 8461 def cons 8462 def 60 ref 2857 ref 86 ref appTerm 8463 def nil cons 8464 def cons nil cons 8465 def cons nil cons cons 8466 def 81 ref subst 8466 remove 152 ref subst 1444 remove nil 1445 remove 1485 ref cons nil cons nil cons cons 1449 remove 2998 ref subst subst appThm nil 94 ref 8461 ref cons nil cons nil cons cons 8467 def 101 ref subst 8460 ref assume eqMp trans sym 100 ref eqMp nil 59 ref 1476 remove nil cons cons 8465 ref cons nil cons cons 132 ref subst proveHyp nil 143 ref 1485 remove cons 109 ref 8464 remove cons nil cons 8468 def cons nil cons cons nil 263 remove 60 ref 64 ref 204 ref 147 ref 149 ref absTerm 8469 def appTerm 8470 def appTerm 114 ref appTerm 8471 def nil cons 8472 def cons nil cons 8473 def cons nil cons cons 8474 def 1845 ref subst 8474 ref 81 ref subst 8474 remove 152 ref subst nil 143 ref 147 ref 64 ref 8469 ref 148 ref appTerm 8475 def appTerm 114 remove appTerm 8476 def absTerm 8477 def nil cons cons nil cons nil cons cons 260 ref subst 147 ref nil 94 ref 8476 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 8475 ref nil cons 8478 def cons 265 ref cons nil cons cons 8479 def 81 ref subst 8479 remove 152 ref subst nil "f" 140 ref var 1446 remove cons 618 ref 274 remove cons nil cons cons nil cons cons 1447 remove 272 ref cons 189 ref cons 618 ref 527 remove 147 ref 1550 remove absTerm 619 ref appTerm appTerm 1549 ref 619 ref appTerm appTerm absTerm 8480 def 619 ref appTerm 8481 def betaConv 1548 remove 142 ref 8480 ref appTerm 8482 def absTerm 8483 def 1549 remove appTerm 8484 def betaConv nil 1460 remove 8483 ref appTerm 8485 def axiom nil 59 ref 8485 remove nil cons cons 60 ref 8484 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1467 remove 1468 remove 8483 remove nil cons cons 1960 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8482 remove nil cons cons 60 ref 8481 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 8480 remove nil cons cons 630 ref cons nil cons cons 163 ref subst eqMp eqMp subst subst 8486 def 8475 remove assume eqMp 268 remove proveHyp 276 remove eqMp eqMp nil 107 ref 8478 remove cons 278 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 142 ref 8477 remove appTerm nil cons cons 8473 remove cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 8469 remove nil cons cons 8487 def 278 ref cons nil cons cons 1090 ref subst eqMp eqMp nil 277 remove 109 ref 8472 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 257 remove 8471 ref appTerm nil cons cons 60 ref 64 ref 8471 ref appTerm 256 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 8472 ref cons 60 ref 262 ref cons nil cons cons nil cons cons 8488 def 81 ref subst 8488 remove 152 ref subst nil 273 remove nil cons nil cons cons 260 ref subst 147 ref nil 94 ref 254 remove nil cons cons nil cons nil cons cons 101 ref subst 267 ref 81 ref subst 267 remove 152 ref subst 8486 remove sym 149 ref assume eqMp 272 ref 8487 remove 275 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 8470 remove nil cons cons 265 remove cons nil cons cons 132 ref subst 8471 remove assume eqMp proveHyp eqMp nil 107 ref 150 remove cons 278 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 107 ref 8472 remove cons 109 ref 262 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp subst nil 143 ref 147 ref 249 ref 8463 ref appTerm 8489 def absTerm nil cons cons nil cons nil cons cons 260 ref subst 147 ref nil 94 ref 8489 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 248 ref nil cons 8490 def cons 8491 def 8465 remove cons nil cons cons 8492 def 81 ref subst 8492 remove 152 ref subst nil 94 ref 2860 ref cons nil cons nil cons cons 101 ref subst nil 8491 remove 60 ref 2860 remove cons 8493 def nil cons cons nil cons cons 132 ref subst 147 ref 249 remove 2856 ref appTerm absTerm 8494 def 148 ref appTerm 8495 def betaConv 154 ref 142 ref 8494 ref appTerm 8496 def absTerm 8497 def 155 ref appTerm 8498 def betaConv nil 1480 ref 8497 ref appTerm 8499 def axiom nil 59 ref 8499 remove nil cons cons 60 ref 8498 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 8497 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8496 remove nil cons cons 60 ref 8495 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 8494 remove nil cons cons 275 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp nil 107 ref 8490 remove cons 8468 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 107 ref 8461 ref cons 8468 remove cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 64 ref 8460 ref appTerm 8500 def 8463 remove appTerm nil cons cons 60 ref 63 ref 8500 ref 2856 remove appTerm appTerm 8501 def 8500 ref 86 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 4035 remove 8460 ref refl nil 59 ref 63 ref 8460 ref appTerm 8502 def 8460 ref appTerm nil cons cons 60 ref 64 ref 8500 ref 2857 remove 4037 ref appTerm 8503 def appTerm appTerm 8501 ref 8500 remove 4037 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4039 ref 8461 remove cons nil cons nil cons cons 4034 remove 64 ref 8502 remove 4040 ref appTerm appTerm 64 ref 4041 remove 8503 remove appTerm appTerm 8501 remove 4042 remove appTerm appTerm appTerm absTerm 8504 def 4037 remove appTerm 8505 def betaConv 4039 remove 194 ref 8504 ref appTerm 8506 def absTerm 8507 def 4040 remove appTerm 8508 def betaConv nil 8493 remove 8462 remove nil cons cons nil cons cons 4116 remove subst nil 59 ref 194 ref 8507 ref appTerm nil cons cons 60 ref 8508 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 8507 remove nil cons cons 4117 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8506 remove nil cons cons 60 ref 8505 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 8504 remove nil cons cons 4118 remove cons nil cons cons 163 ref subst eqMp eqMp subst eqMp subst eqMp 8467 remove 1696 ref subst trans sym 100 ref eqMp 8509 def subst eqMp eqMp 8510 def appThm eqMp sym 651 ref 8431 ref nil 3420 ref 506 ref cons 303 ref 8378 ref nil cons 8511 def cons 8342 ref cons cons nil cons cons 3494 ref subst appThm nil 3500 ref 338 ref 8378 ref appTerm 465 ref appTerm 8512 def nil cons cons 3502 ref 537 ref cons 8513 def 3504 ref 507 ref cons nil cons 8514 def cons cons nil cons cons 3572 ref subst trans appThm 3773 ref 8251 ref refl 8515 def 8273 ref refl 8516 def 8274 ref refl 8517 def 6392 ref nil 3500 ref 6419 ref cons 8518 def 3502 ref 8511 ref cons 8519 def 8514 ref cons cons nil cons cons 3572 ref subst absThm appThm appThm appThm appThm 8424 ref appThm appThm sym nil 59 ref 8386 ref 8512 ref appTerm 8520 def nil cons 8521 def cons 60 ref 373 ref 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 8378 ref appTerm 8522 def 6400 ref appTerm absTerm appTerm appTerm appTerm 8523 def appTerm 8524 def 8388 ref appTerm nil cons 8525 def cons nil cons cons nil cons cons 8526 def 81 ref subst 8526 remove 152 ref subst 63 ref "_17006" 285 ref var 8527 def 8524 ref 8246 ref 6778 ref 8527 remove varTerm 8528 def appTerm 465 ref appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 8381 ref 338 ref 8528 ref appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 8528 remove appTerm 8387 ref appTerm absTerm appTerm appTerm appTerm appTerm appTerm absTerm 8529 def 469 ref appTerm 8530 def appTerm refl 8529 ref 8512 ref appTerm betaConv appThm 111 ref 8530 remove betaConv appThm 8524 ref 8246 ref 6778 ref 8512 ref appTerm 8531 def 465 ref appTerm 8532 def appTerm 301 ref 8273 ref 8274 ref 6392 ref 8381 ref 338 ref 8512 ref appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm 8533 def appTerm 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 8512 remove appTerm 8387 ref appTerm absTerm appTerm appTerm appTerm 8534 def appTerm 8535 def appTerm refl appThm trans 8529 remove refl 8520 remove assume appThm eqMp sym 111 ref "_17008" 288 ref var 8536 def 8524 ref 8536 remove varTerm appTerm absTerm 8537 def 8535 remove appTerm betaConv appThm 652 ref 64 ref 8532 ref appTerm 8538 def refl 8537 ref 8533 ref appTerm betaConv appThm appThm 64 ref 1237 ref 8532 ref appTerm 8539 def appTerm 8540 def refl 8537 ref 8534 ref appTerm betaConv appThm appThm appThm nil "_485" 288 ref var 8541 def 8534 ref nil cons cons "_482" 288 ref var 8542 def 8533 ref nil cons cons "_483" 16 ref var 8543 def 8532 remove nil cons cons nil cons cons cons nil cons cons nil "_484" 289 ref var 8544 def 8537 remove nil cons cons nil cons nil cons cons 3734 ref nil 147 ref "_482" 139 ref var varTerm nil cons cons 2914 ref 8543 ref varTerm nil cons cons 154 ref "_484" 140 remove var varTerm nil cons cons 618 ref "_485" 139 ref var varTerm nil cons cons nil cons cons cons cons nil cons cons 618 ref 63 ref 155 ref 8407 ref 2917 ref appTerm 148 ref appTerm 619 ref appTerm appTerm appTerm 70 ref 64 ref 2917 ref appTerm 8545 def 248 remove appTerm appTerm 64 ref 8010 remove appTerm 155 ref 619 ref appTerm 8546 def appTerm appTerm appTerm absTerm 8547 def 619 ref appTerm 8548 def betaConv 147 ref 142 ref 8547 ref appTerm 8549 def absTerm 8550 def 148 ref appTerm 8551 def betaConv 2914 ref 142 ref 8550 ref appTerm 8552 def absTerm 8553 def 2917 ref appTerm 8554 def betaConv 154 ref 194 ref 8553 ref appTerm 8555 def absTerm 8556 def 155 ref appTerm 8557 def betaConv nil 1480 ref 8556 ref appTerm 8558 def axiom nil 59 ref 8558 remove nil cons cons 60 ref 8557 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 8556 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8555 remove nil cons cons 60 ref 8554 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 8553 remove nil cons cons 198 ref 2968 ref cons nil cons 8559 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8552 remove nil cons cons 60 ref 8551 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 8550 remove nil cons cons 275 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8549 remove nil cons cons 60 ref 8548 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 8547 remove nil cons cons 630 remove cons nil cons cons 163 ref subst eqMp eqMp subst subst 8560 def subst subst eqMp sym 651 ref 8531 remove refl nil 8360 remove nil cons cons 8561 def 6721 ref subst appThm appThm 8524 ref 8533 remove appTerm 8562 def refl 8563 def appThm sym 651 ref nil 3500 ref 4224 ref cons 3504 ref 506 ref cons 8564 def 8519 ref nil cons cons cons nil cons cons 3500 ref 63 ref 6778 ref 6410 remove appTerm 7571 remove appTerm appTerm 7548 ref appTerm absTerm 8565 def 3512 remove appTerm 8566 def betaConv 3502 ref 416 ref 8565 ref appTerm 8567 def absTerm 8568 def 3509 ref appTerm 8569 def betaConv 3504 ref 416 ref 8568 ref appTerm 8570 def absTerm 8571 def 3507 remove appTerm 8572 def betaConv 417 ref 3504 ref 417 ref 3502 ref 417 ref 3500 ref 111 ref 6892 ref 6412 remove appThm 3605 remove appThm appThm 7548 remove refl appThm absThm appThm absThm appThm absThm appThm 7560 remove eqMp nil 59 ref 416 ref 8571 ref appTerm nil cons cons 60 ref 8572 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 8571 remove nil cons cons 3523 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8570 remove nil cons cons 60 ref 8569 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 8568 remove nil cons cons 3606 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8567 remove nil cons cons 60 ref 8566 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 8565 remove nil cons cons 3611 remove cons nil cons cons 163 ref subst eqMp eqMp subst appThm 8563 remove appThm sym nil 59 ref 6778 ref 8378 ref appTerm 4188 ref appTerm 8573 def nil cons 8574 def cons 60 ref 8562 ref nil cons 8575 def cons nil cons cons nil cons cons 8576 def 81 ref subst 8576 remove 152 ref subst nil 4427 remove 302 ref 8511 remove cons nil cons 8577 def cons nil cons cons 303 ref 63 ref 7667 ref appTerm 8578 def 7666 remove appTerm 8579 def absTerm 8580 def 331 ref appTerm 8581 def betaConv 302 ref 416 ref 8580 ref appTerm 8582 def absTerm 8583 def 328 ref appTerm 8584 def betaConv 417 ref 302 ref 417 ref 303 ref 8579 remove assume sym 7668 remove assume sym deductAntisym absThm appThm absThm appThm 7784 remove eqMp nil 59 ref 416 ref 8583 ref appTerm nil cons cons 60 ref 8584 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 8583 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8582 remove nil cons cons 60 ref 8581 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 8580 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp 8585 def subst 652 ref nil 94 ref 8574 ref cons nil cons nil cons cons 101 ref subst 8573 remove assume eqMp appThm 6778 ref 4188 ref appTerm 8586 def refl 8587 def 8517 ref 6392 ref nil 303 ref 8376 ref nil cons cons 302 ref 538 ref cons nil cons 8588 def cons nil cons cons 8585 ref subst absThm appThm appThm appThm nil 94 ref 8586 remove 8274 ref 6392 ref 70 ref 8369 ref 8376 ref appTerm appTerm 6778 ref 8376 remove appTerm 468 ref appTerm appTerm absTerm appTerm 8589 def appTerm nil cons cons nil cons nil cons cons 874 ref subst trans trans sym 8587 ref nil 302 ref 8589 remove nil cons 8590 def cons nil cons nil cons cons 6721 ref subst appThm sym nil 303 ref 8590 remove cons 6706 ref cons nil cons cons 7496 ref subst sym 100 ref eqMp eqMp eqMp 63 ref "_17014" 285 ref var 8591 def 373 ref 8251 ref 8273 ref 8274 ref 6392 ref 365 ref 8591 remove varTerm 8592 def appTerm 6400 ref appTerm absTerm appTerm appTerm appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 8381 ref 338 ref 338 ref 8592 remove appTerm 465 ref appTerm appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm absTerm 8593 def 8378 ref appTerm 8594 def appTerm refl 8593 ref 4188 ref appTerm betaConv appThm 111 ref 8594 remove betaConv appThm 373 ref 8251 ref 8273 ref 8274 ref 6392 ref 6723 remove 6400 ref appTerm absTerm appTerm appTerm appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 8381 ref 338 ref 4230 remove 465 ref appTerm appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8595 def refl 8596 def appThm trans 8593 remove refl 8522 remove 4188 ref appTerm assume 8597 def appThm eqMp sym 63 ref "_17024" 285 ref var 8598 def 365 ref 473 ref 8598 remove varTerm appTerm appTerm 468 ref appTerm absTerm 8599 def 8378 remove appTerm 8600 def appTerm refl 8599 ref 4188 ref appTerm betaConv appThm 111 ref 8600 remove betaConv appThm 365 ref 473 remove 4188 ref appTerm appTerm 468 ref appTerm 8601 def refl appThm trans 8599 remove refl 8597 remove appThm eqMp 8510 remove sym eqMp nil 59 ref 8601 remove nil cons cons 60 ref 8595 remove nil cons 8602 def cons nil cons cons nil cons cons 132 ref subst proveHyp 651 ref 690 ref nil 3502 ref 507 ref cons nil cons nil cons cons 4429 ref subst appThm 468 ref refl 8603 def appThm 8400 remove trans appThm 8596 remove appThm nil 94 ref 8602 remove cons nil cons nil cons cons 2444 ref subst trans sym 100 ref eqMp eqMp eqMp proveHyp eqMp nil 107 ref 8574 remove cons 109 ref 8575 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 59 ref 8538 remove 8562 remove appTerm nil cons cons 60 ref 8540 remove 8524 ref 8534 remove appTerm 8604 def appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 8539 remove nil cons 8605 def cons 60 ref 8604 remove nil cons 8606 def cons nil cons cons nil cons cons 8607 def 81 ref subst 8607 remove 152 ref subst 8524 remove refl 8608 def 8515 ref 8516 ref 8517 ref 6392 ref 690 ref nil 303 ref 506 ref cons 8577 remove cons nil cons cons 3416 ref subst appThm 8387 remove refl 8609 def appThm absThm appThm appThm appThm appThm sym 8608 remove 8515 ref 8516 ref 8517 ref 6392 ref nil 8518 ref 8519 remove 8564 remove nil cons cons cons nil cons cons 3572 ref subst absThm appThm appThm appThm appThm nil 293 ref 8523 remove nil cons cons nil cons nil cons cons 4031 ref subst trans sym 100 ref eqMp eqMp eqMp nil 107 ref 8605 remove cons 109 ref 8606 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 107 ref 8521 remove cons 109 ref 8525 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 107 ref 8448 remove cons 8610 def 109 ref 8446 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp 303 ref 1337 ref 8447 remove 331 ref appTerm appTerm 7664 ref 463 ref appTerm appTerm absTerm 8611 def 468 ref appTerm 8612 def betaConv 7827 remove 463 ref appTerm 8613 def betaConv 8132 remove nil 8133 remove 60 ref 8613 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 8134 remove 8342 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 416 ref 8611 ref appTerm nil cons cons 60 ref 8612 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 8611 remove nil cons cons 8588 ref cons nil cons cons 163 ref subst eqMp eqMp nil 8610 remove 109 ref 8439 ref cons 1422 ref 8446 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 107 ref 8436 ref cons 109 ref 8428 ref cons nil cons 8614 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 8439 ref cons 8615 def 8429 remove cons nil cons cons 8616 def 81 ref subst 8616 remove 152 ref subst 3773 ref 8397 ref nil 94 ref 8439 ref cons nil cons nil cons cons 101 ref subst 8370 ref assume eqMp appThm 8442 remove appThm 8443 remove appThm 8444 remove 3734 remove 8406 remove 511 ref 8407 remove 86 ref appTerm 8409 ref appTerm 8410 ref appTerm appTerm 8409 ref appTerm absTerm 8617 def 8410 remove appTerm 8618 def betaConv 8408 remove 142 ref 8617 ref appTerm 8619 def absTerm 8620 def 8409 remove appTerm 8621 def betaConv nil 142 ref 8620 ref appTerm 8622 def axiom nil 59 ref 8622 remove nil cons cons 60 ref 8621 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 8620 remove nil cons cons 8417 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8619 remove nil cons cons 60 ref 8618 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 8617 remove nil cons cons 8418 remove cons nil cons cons 163 ref subst eqMp eqMp 8623 def subst 8624 def subst trans appThm 8424 ref appThm sym nil 8434 remove 60 ref 373 ref 8374 remove appTerm 8388 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst 63 ref "_17000" 285 ref var 8625 def 64 ref 365 ref 338 ref 8625 remove varTerm 8626 def appTerm 469 ref appTerm appTerm 477 ref appTerm appTerm 373 ref 301 ref 8273 ref 8274 ref 6392 ref 365 ref 8626 remove appTerm 8371 ref appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8388 ref appTerm appTerm absTerm 8627 def 463 remove appTerm 8628 def appTerm refl 8627 ref 476 ref 8373 ref appTerm 8629 def appTerm betaConv appThm 111 ref 8628 remove betaConv appThm 64 ref 365 ref 338 ref 8629 ref appTerm 469 ref appTerm appTerm 477 ref appTerm appTerm 373 ref 301 ref 8273 ref 8274 ref 6392 ref 365 ref 8629 remove appTerm 8371 ref appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8388 ref appTerm appTerm refl appThm trans 8627 remove refl 8372 ref 8373 ref appTerm 8630 def betaConv nil 8615 remove 60 ref 1109 ref 8372 ref appTerm nil cons 8631 def cons nil cons cons nil cons cons 132 ref subst nil 303 ref 507 remove cons 8588 ref cons nil cons cons 7464 ref subst eqMp nil 59 ref 8631 remove cons 60 ref 8630 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 8459 ref 8372 remove nil cons cons nil cons nil cons cons 8509 ref subst eqMp eqMp appThm eqMp sym 651 ref 690 ref nil 3420 ref 537 ref cons 303 ref 8373 ref nil cons 8632 def cons 8633 def 8588 ref cons cons nil cons cons 3494 ref subst appThm 477 ref refl appThm nil 3500 ref 506 remove cons 8634 def 3502 ref 338 ref 8373 ref appTerm 469 ref appTerm 8635 def nil cons cons 3504 ref 538 ref cons nil cons 8636 def cons cons nil cons cons 3572 ref subst trans appThm 3773 ref 3820 ref 8516 ref 8517 ref 6392 ref nil 8518 ref 3502 ref 8632 ref cons 8637 def 8636 ref cons cons nil cons cons 3572 ref subst absThm appThm appThm appThm 4188 ref refl 8638 def appThm appThm 8424 remove appThm appThm sym nil 59 ref 365 ref 8635 ref appTerm 8639 def 465 ref appTerm 8640 def nil cons 8641 def cons 60 ref 373 ref 301 ref 8273 ref 8274 ref 6392 ref 365 ref 8373 remove appTerm 6400 ref appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm 8642 def appTerm 8643 def 8388 ref appTerm nil cons 8644 def cons nil cons cons nil cons cons 8645 def 81 ref subst 8645 remove 152 ref subst 63 ref "_17002" 285 ref var 8646 def 8643 ref 8246 ref 8383 ref 8646 remove varTerm 8647 def appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 365 ref 8647 ref appTerm 8385 ref appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm appTerm 8251 ref 8273 ref 8274 ref 6392 ref 8386 ref 338 ref 8647 remove appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm appTerm appTerm appTerm absTerm 8648 def 465 ref appTerm 8649 def appTerm refl 8648 ref 8635 ref appTerm betaConv appThm 111 ref 8649 remove betaConv appThm 8643 ref 8246 ref 8383 ref 8635 ref appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 8639 remove 8385 ref appTerm absTerm appTerm appTerm appTerm 4188 ref appTerm 8650 def appTerm 8251 ref 8273 ref 8274 ref 6392 ref 8386 ref 338 ref 8635 remove appTerm 6400 ref appTerm appTerm absTerm appTerm appTerm appTerm 8651 def appTerm appTerm refl appThm trans 8648 remove refl 8640 remove assume sym appThm eqMp sym 8643 remove refl 8652 def 8397 ref nil 8633 remove 302 ref 537 ref cons nil cons 8653 def cons nil cons cons nil 94 ref 6893 ref 697 remove appTerm 8654 def nil cons cons nil cons nil cons cons 101 ref subst 303 ref 8654 remove absTerm 8655 def 331 ref appTerm 8656 def betaConv 302 ref 416 ref 8655 ref appTerm 8657 def absTerm 8658 def 328 ref appTerm 8659 def betaConv 417 ref 302 ref 417 ref 303 ref 6893 ref refl 3416 ref appThm absThm appThm absThm appThm 7495 remove eqMp nil 59 ref 416 ref 8658 ref appTerm nil cons cons 60 ref 8659 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 8658 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8657 remove nil cons cons 60 ref 8656 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 8655 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp subst appThm 8650 ref refl appThm 8651 ref refl appThm nil 8402 ref 8651 remove nil cons cons 8403 remove 8650 remove nil cons cons nil cons cons nil cons cons 8624 ref subst trans appThm sym 8652 ref 3820 ref 8516 ref 8517 ref 6392 ref 690 ref nil 8359 remove 302 ref 8632 remove cons nil cons cons nil cons cons 3416 ref subst appThm 8385 ref refl 8660 def appThm absThm appThm appThm appThm 8638 ref appThm appThm sym 8652 remove 3820 ref 8516 ref 8517 ref 6392 ref nil 8518 remove 8637 remove 3504 ref 537 ref cons nil cons cons cons nil cons cons 3572 ref subst absThm appThm appThm appThm 8638 ref appThm appThm nil 293 ref 8642 remove nil cons cons nil cons nil cons cons 4031 ref subst trans sym 100 ref eqMp eqMp eqMp eqMp eqMp nil 107 ref 8641 remove cons 109 ref 8644 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 8440 ref 8614 ref cons nil cons cons 123 ref subst deductAntisym eqMp 1890 ref 8370 remove appTerm 8661 def betaConv 1893 ref nil 1894 ref 60 ref 8661 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1895 ref 198 ref 8439 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 8440 remove 109 ref 8436 remove cons 1422 ref 8428 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp nil 107 ref 8433 remove cons 8614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 8426 remove cons 8614 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 8392 ref cons 109 ref 8389 ref cons nil cons 8662 def cons nil cons cons 123 ref subst 8663 def deductAntisym eqMp nil 59 ref 8422 ref cons 8390 ref cons nil cons cons 8664 def 81 ref subst 8665 def 8664 remove 152 ref subst 8666 def 651 ref 8431 ref 684 ref 8382 ref assume 8667 def appThm 8668 def 8603 ref appThm 8669 def appThm appThm 8421 remove 8397 ref 690 ref 8667 ref appThm 8670 def 469 ref refl 8671 def appThm nil 8653 ref nil cons cons 550 ref subst trans appThm 8401 ref appThm 8397 ref 8383 ref refl 8667 remove appThm appThm 3820 ref 8516 ref 8517 ref 6392 ref 8670 remove 8660 remove appThm absThm appThm appThm appThm 8638 ref appThm appThm 8515 ref 8516 ref 8517 ref 6392 ref 8386 ref refl 8668 remove 6400 ref refl 8672 def appThm appThm absThm appThm appThm appThm appThm appThm nil 8402 ref 8246 ref 8383 remove 469 ref appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 8386 ref 8385 remove appTerm absTerm appTerm appTerm 8673 def appTerm 4188 ref appTerm appTerm 8251 ref 8673 remove appTerm appTerm nil cons cons 8405 ref cons nil cons cons 8624 ref subst trans 8674 def appThm appThm sym nil 59 ref 8365 ref 8384 remove 468 ref appTerm 8675 def appTerm 8676 def nil cons 8677 def cons 60 ref 8427 remove 8252 ref appTerm 8678 def nil cons 8679 def cons nil cons 8680 def cons nil cons cons 8681 def 81 ref subst 8681 remove 152 ref subst 8431 remove nil 8341 remove 8653 remove cons nil cons cons 3416 ref subst appThm 8676 remove assume eqMp nil 59 ref 8365 remove 476 remove 469 remove appTerm 8682 def appTerm nil cons cons 8680 ref cons nil cons cons 132 ref subst proveHyp 651 ref nil 3502 ref 538 remove cons 3500 ref 537 remove cons 8514 remove cons cons nil cons cons 3612 remove subst appThm 8678 remove refl appThm sym nil 59 ref 8398 ref cons 8683 def 8680 remove cons nil cons cons 8684 def 81 ref subst 8684 remove 152 ref subst 3773 ref 8397 ref 8369 ref refl 8362 ref assume 8685 def appThm 8686 def nil 8588 remove nil cons cons 8687 def 7162 ref subst trans appThm 3820 ref 8516 ref 8517 ref 6392 ref 690 ref 8685 ref appThm 8688 def 8371 ref refl appThm absThm appThm 8689 def 8687 ref 417 ref 303 ref 111 ref 6392 ref 6717 ref 7229 remove appTerm absTerm 8690 def 331 ref appTerm 8691 def betaConv appThm 3526 ref 4188 ref appTerm 8692 def refl 8693 def appThm absThm appThm sym nil 659 ref 303 ref 63 ref 6717 ref 694 ref appTerm appTerm 8692 ref appTerm 8694 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 303 ref nil 94 ref 8694 remove nil cons cons nil cons nil cons cons 101 ref subst 111 ref 690 ref nil 3502 ref 3412 ref cons nil cons nil cons cons 8695 def 3502 ref 3516 remove 4423 remove appTerm 8696 def absTerm 8697 def 3509 remove appTerm 8698 def betaConv 417 ref 3502 ref 8696 remove assume sym 4424 remove assume sym deductAntisym absThm appThm 4428 remove eqMp nil 59 ref 416 ref 8697 ref appTerm nil cons cons 60 ref 8698 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 8697 remove nil cons cons 3606 remove cons nil cons cons 163 ref subst eqMp eqMp subst appThm 694 remove refl appThm appThm 8693 ref appThm sym 111 ref nil 3500 ref 3414 ref cons 3502 ref 4224 remove cons 3504 ref 3412 ref cons nil cons 8699 def cons cons nil cons cons 3572 ref subst appThm 8693 remove appThm sym nil 6706 remove nil cons cons 8700 def 632 ref subst eqMp eqMp eqMp absThm eqMp eqMp nil 59 ref 416 ref 303 ref 63 ref 8691 remove appTerm 8692 remove appTerm absTerm appTerm nil cons cons 60 ref 365 ref 8274 ref 8690 ref appTerm appTerm 4188 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 6705 remove 8459 ref 8690 remove nil cons cons nil cons cons nil cons cons 547 ref 147 ref 64 ref 142 ref 618 ref 63 ref 8546 ref appTerm 623 remove appTerm absTerm appTerm appTerm 511 ref 2855 remove appTerm 148 ref appTerm appTerm absTerm 8701 def 148 ref appTerm 8702 def betaConv 154 ref 142 ref 8701 ref appTerm 8703 def absTerm 8704 def 155 ref appTerm 8705 def betaConv nil 1480 ref 8704 ref appTerm 8706 def axiom nil 59 ref 8706 remove nil cons cons 60 ref 8705 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 8704 remove nil cons cons 1486 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8703 remove nil cons cons 60 ref 8702 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 ref 143 ref 8701 remove nil cons cons 275 remove cons nil cons cons 163 ref subst eqMp eqMp subst subst eqMp 8707 def subst 8708 def trans appThm nil 307 ref 4240 ref cons 8709 def 219 ref 8266 ref 4236 ref appTerm nil cons cons nil cons cons nil cons cons 2989 ref subst 690 ref nil 4241 remove nil cons cons 8710 def 365 ref 305 ref 8268 ref appTerm 8711 def appTerm 8273 ref 714 ref appTerm 8712 def appTerm assume sym 365 ref 8712 remove appTerm 8713 def 8711 remove appTerm assume sym deductAntisym 8713 ref refl 2994 ref 2995 remove 2996 remove 8268 ref nil cons cons nil cons nil cons cons 2998 remove subst appThm appThm 63 ref "_16693" 215 ref var 8714 def 8713 ref 305 ref 306 ref 218 ref 236 ref 70 ref 232 ref 8266 ref 237 ref appTerm 8715 def appTerm 323 remove appTerm 8716 def appTerm 8717 def 8714 remove varTerm 237 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 8718 def 3005 remove appTerm 8719 def appTerm refl 8718 ref 234 ref appTerm betaConv appThm 111 ref 8719 remove betaConv appThm 8713 remove 305 ref 306 ref 218 ref 236 ref 8717 remove 3010 ref appTerm 8720 def absTerm 8721 def appTerm 8722 def absTerm appTerm appTerm refl appThm trans 8718 remove refl 3025 remove appThm eqMp nil 3028 remove nil cons nil cons cons 365 ref 8273 ref 328 ref appTerm 8723 def appTerm refl 8271 remove 328 ref appTerm betaConv appThm 8272 remove 3031 ref appThm eqMp subst eqMp 2994 remove 306 remove nil 59 ref 8722 ref nil cons 8724 def cons 60 ref 8269 ref nil cons 8725 def cons nil cons 8726 def cons nil cons cons 1845 ref subst nil 243 ref 236 ref 64 ref 8721 ref 237 ref appTerm 8727 def appTerm 8269 ref appTerm 8728 def absTerm 8729 def nil cons cons nil cons nil cons cons 727 ref subst 236 ref nil 94 ref 8728 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 8727 ref nil cons 8730 def cons 8726 ref cons nil cons cons 8731 def 81 ref subst 8731 remove 152 ref subst 8727 ref betaConv 8732 def 8727 remove assume eqMp nil 59 ref 8720 ref nil cons 8733 def cons 8734 def 8726 ref cons nil cons cons 8735 def 132 ref subst proveHyp 8735 ref 81 ref subst 8735 remove 152 ref subst nil 107 ref 8716 ref nil cons 8736 def cons 109 ref 4636 remove cons nil cons cons nil cons cons 8737 def 687 ref subst nil 6228 ref 60 ref 8268 ref 8715 ref appTerm 8738 def nil cons 8739 def cons nil cons cons nil cons cons 132 ref subst proveHyp 3060 remove nil 59 ref 712 ref nil cons 8740 def cons 8741 def 60 ref 8268 ref 8266 ref 320 ref appTerm 8742 def appTerm nil cons 8743 def cons nil cons 8744 def cons nil cons cons 8745 def 81 ref subst 8745 remove 152 ref subst nil 59 ref 1237 ref 234 ref 4236 ref appTerm 8746 def appTerm 8747 def nil cons 8748 def cons 8749 def 8744 ref cons nil cons cons 8750 def 81 ref subst 8750 remove 152 ref subst nil 107 ref 716 ref 4236 ref appTerm 8751 def nil cons 8752 def cons 8753 def nil cons nil cons cons 7863 ref subst nil 59 ref 8752 ref cons 8754 def 1330 ref cons nil cons cons 8755 def 81 ref subst 8755 ref 152 ref subst 1096 ref nil 1098 ref 1330 ref cons nil cons cons 8756 def 132 ref subst proveHyp 8757 def 8756 ref 81 ref subst 8758 def 8756 remove 152 ref subst 8759 def nil 8741 ref 60 ref 8752 ref cons nil cons 8760 def cons nil cons cons 152 ref subst 8751 ref assume 8761 def eqMp nil 59 ref 757 remove 8751 ref appTerm nil cons cons 60 ref 8746 ref nil cons 8762 def cons nil cons 8763 def cons nil cons cons 132 ref subst proveHyp nil "_16628" 214 ref var 8764 def 4240 ref cons "_16627" 214 ref var 8765 def 730 ref cons "_16626" 214 ref var 8766 def 244 ref cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 8766 remove varTerm 8767 def appTerm 8768 def 8765 remove varTerm 8769 def appTerm 8770 def appTerm 8771 def appTerm 8772 def 1237 ref 232 ref 8769 ref appTerm 8773 def 8764 remove varTerm 8774 def appTerm 8775 def appTerm 8776 def appTerm nil cons cons 1648 ref 8768 ref 8774 ref appTerm 8777 def nil cons 8778 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 8776 remove nil cons 8779 def cons 1648 ref 8771 remove nil cons 8780 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 8770 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 8775 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 8777 remove refl appThm trans 8772 ref refl nil 60 ref 8778 ref cons 8781 def 59 ref 8779 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 8779 ref cons 8781 remove 59 ref 8780 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 8780 remove cons 1708 ref 8779 remove cons 1792 ref 8778 remove cons nil cons cons cons nil cons cons 2701 ref subst 756 ref 1337 ref 8772 remove 1237 ref 8773 remove 758 ref appTerm appTerm appTerm appTerm 8768 ref 758 ref appTerm 8782 def appTerm absTerm 8783 def 8774 ref appTerm 8784 def betaConv 307 ref 705 ref 756 ref 1337 ref 1337 ref 1237 ref 8768 remove 320 ref appTerm appTerm appTerm 1237 ref 759 ref appTerm 8785 def appTerm appTerm 8782 remove appTerm absTerm appTerm absTerm 8786 def 8769 ref appTerm 8787 def betaConv 219 ref 705 ref 307 ref 705 ref 756 ref 1337 ref 1337 ref 1237 ref 712 ref appTerm appTerm 8788 def 8785 ref appTerm appTerm 761 ref appTerm absTerm appTerm absTerm appTerm absTerm 8789 def 8767 ref appTerm 8790 def betaConv 706 ref 219 ref 706 ref 307 ref 706 ref 756 ref 6303 remove 2729 ref subst 1371 ref nil 8741 ref 60 ref 759 remove nil cons cons nil cons cons nil cons cons 2034 ref subst appThm 761 remove refl appThm trans absThm appThm absThm appThm absThm appThm 768 ref assume eqMp 8791 def nil 59 ref 705 ref 8789 ref appTerm nil cons cons 8792 def 60 ref 8790 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 8789 ref nil cons cons 8793 def 219 ref 8767 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 8786 ref appTerm nil cons cons 60 ref 8787 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 8786 remove nil cons cons 219 ref 8769 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 8783 ref appTerm nil cons cons 60 ref 8784 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 8783 remove nil cons cons 219 ref 8774 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 8762 ref cons 8794 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 8794 ref nil cons nil cons cons 8795 def 1613 ref subst 8747 ref assume eqMp eqMp eqMp nil 6308 ref 1614 ref cons nil cons cons 123 ref subst 8796 def deductAntisym eqMp eqMp eqMp nil 8753 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp 3000 ref 70 ref 8268 ref 3001 ref appTerm appTerm 8797 def 4646 ref 8742 ref appTerm appTerm absTerm 8798 def 4444 ref 8742 ref appTerm 8799 def 6681 ref appTerm 8800 def appTerm betaConv sym 3000 ref 8797 ref 4646 ref 8800 ref appTerm appTerm absTerm 8801 def 8799 ref 4444 ref 8267 ref appTerm 8802 def 233 ref appTerm 8803 def appTerm 8804 def appTerm betaConv sym 3000 ref 8797 ref 4646 ref 8804 ref appTerm appTerm absTerm 8805 def 8799 ref 8802 ref 320 ref appTerm 8806 def appTerm 8807 def appTerm betaConv sym 3000 ref 8797 remove 4646 ref 8807 ref appTerm appTerm absTerm 8808 def 4444 ref 8799 remove 320 ref appTerm 8809 def appTerm 8267 ref appTerm 8810 def appTerm betaConv sym nil 59 ref 8268 ref 8810 ref appTerm 8811 def nil cons 8812 def cons 8813 def nil cons nil cons cons 8814 def 1252 ref subst sym nil 59 ref 1237 ref 8811 remove appTerm 8815 def nil cons 8816 def cons 8817 def 1330 ref cons nil cons cons 8818 def 81 ref subst 8818 remove 152 ref subst nil 243 ref 219 ref 64 ref 8747 remove appTerm 8819 def 232 ref 8803 ref appTerm 8820 def 6681 ref appTerm 8821 def appTerm 8822 def absTerm 8823 def nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 8822 remove nil cons cons nil cons nil cons cons 101 ref subst nil 8749 ref 60 ref 8821 ref nil cons 8824 def cons nil cons 8825 def cons nil cons cons 8826 def 81 ref subst 8826 ref 152 ref subst nil 307 ref 6685 ref cons 8827 def 219 ref 8803 remove nil cons 8828 def cons nil cons cons nil cons cons 8829 def 731 ref subst 48 ref 21 ref 49 ref 7 ref 50 ref 51 ref nil 728 ref 219 ref 8267 ref nil cons 8830 def cons nil cons 8831 def cons nil cons cons 8832 def 5931 ref subst 3282 ref appThm 7 ref 224 ref 8267 ref appTerm 8833 def 733 ref appTerm 8834 def absTerm 34 ref appTerm betaConv trans appThm 224 ref 6681 ref appTerm 34 ref appTerm 8835 def refl appThm appThm 739 ref appThm absThm appThm absThm appThm trans sym 111 ref 48 ref 21 ref 49 ref 7 ref 50 ref 7 ref 29 ref 8834 ref appTerm 8835 ref appTerm 8836 def absTerm 8837 def 34 ref appTerm betaConv 8838 def appThm 739 ref appThm absThm appThm absThm appThm appThm 48 ref 5689 ref 48 ref 21 ref 49 ref 7 ref 50 ref 165 ref 8838 remove appThm appThm 6170 ref appThm absThm appThm absThm appThm absThm appThm appThm nil 6171 ref 8837 remove nil cons cons nil cons nil cons cons 6179 remove subst eqMp sym 307 ref 20 ref 5935 ref 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 35 ref 8833 ref 788 ref appTerm appTerm appTerm 30 ref 8833 remove 34 ref appTerm 8839 def appTerm 8840 def 788 ref appTerm appTerm appTerm 5946 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8841 def 233 ref appTerm 8842 def betaConv 6135 remove 8267 ref appTerm 8843 def betaConv 6138 remove nil 6139 remove 60 ref 8843 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 6137 remove 8831 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 8841 ref appTerm nil cons cons 60 ref 8842 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 8841 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 20 ref 5935 ref 20 ref 21 ref 22 ref 7 ref 26 ref 29 ref 35 ref 8834 ref appTerm 8844 def appTerm 8845 def 8840 remove 733 ref appTerm 8846 def appTerm 8847 def appTerm 8848 def 5946 ref appTerm absTerm appTerm absTerm appTerm absTerm 8849 def appTerm 8850 def nil cons cons 60 ref 20 ref 5689 ref 20 ref 21 ref 22 ref 7 ref 26 ref 35 ref 8836 remove appTerm appTerm 6169 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm 8851 def nil cons 8852 def cons nil cons 8853 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 6109 ref 64 ref 8849 ref 6110 ref appTerm 8854 def appTerm 8851 ref appTerm 8855 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6109 ref nil 94 ref 8855 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 8854 ref nil cons 8856 def cons 8853 ref cons nil cons cons 8857 def 81 ref subst 8857 remove 152 ref subst 8854 ref betaConv 8854 remove assume eqMp nil 59 ref 20 ref 21 ref 22 ref 7 ref 8848 ref 6118 ref appTerm absTerm appTerm absTerm 8858 def appTerm 8859 def nil cons cons 8853 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 837 ref 64 ref 8858 ref 838 ref appTerm 8860 def appTerm 8851 ref appTerm 8861 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 8861 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 8860 ref nil cons 8862 def cons 8853 ref cons nil cons cons 8863 def 81 ref subst 8863 remove 152 ref subst 8860 ref betaConv 8860 remove assume eqMp nil 59 ref 22 ref 7 ref 8848 remove 6125 remove appTerm 8864 def absTerm 8865 def appTerm nil cons 8866 def cons 8867 def 8853 remove cons nil cons cons 8868 def 132 ref subst proveHyp 8868 ref 81 ref subst 8868 remove 152 ref subst 48 ref 5689 ref 48 ref 21 ref 49 ref 7 ref 50 ref nil 879 ref 8835 remove nil cons cons 7 ref 8834 remove nil cons cons 167 ref cons cons nil cons cons 4795 ref subst 8845 ref refl 165 ref 6693 remove 3282 ref appThm 6694 remove 34 ref appTerm betaConv trans 8869 def appThm appThm trans appThm 6170 remove appThm absThm appThm absThm appThm absThm appThm sym nil 8749 ref 60 ref 22 ref 4256 ref 20 ref "N" 3 ref var 8870 def 6768 ref 4258 ref appTerm 4444 ref 4181 ref 8870 ref varTerm 8871 def appTerm 8872 def appTerm 233 ref appTerm 8873 def appTerm absTerm appTerm 8874 def absTerm 8875 def appTerm 8876 def nil cons 8877 def cons nil cons cons nil cons cons 8878 def 132 ref subst 219 ref 8819 ref 8876 remove appTerm 8879 def absTerm 8880 def 233 ref appTerm 8881 def betaConv nil 243 ref 219 ref 22 ref 4256 ref 8819 ref 8874 ref appTerm 8882 def absTerm 8883 def appTerm 8884 def absTerm 8885 def nil cons cons 8886 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 8884 remove nil cons 8887 def cons nil cons nil cons cons 101 ref subst nil 135 ref 8883 ref nil cons cons 8888 def nil cons nil cons cons 841 ref subst 4256 ref nil 94 ref 8882 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref 1443 ref nil 8709 remove nil cons nil cons cons 8889 def 731 ref subst appThm 111 ref 1443 ref 48 ref 21 ref 21 ref 22 ref 7 ref 26 ref 786 ref 224 ref 4236 ref appTerm 34 ref appTerm appTerm appTerm 8890 def 36 ref appTerm absTerm appTerm 8891 def absTerm 8892 def 36 ref appTerm betaConv 8893 def absThm appThm appThm appThm 49 ref 21 ref 1443 ref 8893 remove appThm absThm appThm appThm nil 4875 ref 8892 remove nil cons cons nil cons nil cons cons 7878 remove subst eqMp trans appThm 48 ref 8870 ref nil 307 ref 8873 ref nil cons 8894 def cons 8895 def 219 ref 4258 remove nil cons cons nil cons cons nil cons cons 6983 ref subst absThm appThm appThm sym 3124 ref nil 3125 ref 60 ref 64 ref 22 ref 21 ref 1237 ref 8891 remove appTerm absTerm 8896 def appTerm 8897 def appTerm 20 ref 8870 ref 20 ref 21 ref 22 ref 7 ref 26 ref 4259 remove 34 ref appTerm appTerm 38 ref 224 ref 8873 ref appTerm 8898 def 34 ref appTerm appTerm 36 ref appTerm 8899 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 8900 def appTerm 8901 def nil cons 8902 def cons nil cons 8903 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 4694 remove 8901 ref appTerm 8904 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 8904 remove nil cons cons nil cons nil cons cons 101 ref subst nil 4697 remove 8903 ref cons nil cons cons 8905 def 81 ref subst 8905 remove 152 ref subst 4699 remove nil 4701 remove 8903 remove cons nil cons cons 8906 def 132 ref subst proveHyp 8906 ref 81 ref subst 8906 remove 152 ref subst nil 59 ref 8897 remove nil cons 8907 def cons 8908 def 60 ref 8900 remove nil cons 8909 def cons nil cons 8910 def cons nil cons cons 8911 def 81 ref subst 8911 remove 152 ref subst 8896 ref 5248 ref 4257 ref appTerm 8912 def appTerm 8913 def betaConv nil 8908 remove 60 ref 8913 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 8896 remove nil cons cons 136 ref 8912 ref nil cons 8914 def cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1237 ref 22 ref 7 ref 8890 remove 8912 ref appTerm absTerm 8915 def appTerm appTerm nil cons cons 8910 remove cons nil cons cons 132 ref subst proveHyp 651 ref 111 ref 1443 ref 49 ref 7 ref 8915 ref 34 ref appTerm betaConv 8916 def absThm appThm appThm appThm 48 ref 7 ref 1443 ref 8916 remove appThm absThm appThm appThm nil 4875 ref 8915 remove nil cons cons nil cons nil cons cons 7879 ref subst eqMp 48 ref 7 ref 1443 ref 50 ref 786 ref refl 8917 def 4300 remove appThm appThm 8912 ref refl appThm appThm absThm appThm trans appThm 48 ref 8870 ref 48 ref 21 ref 49 ref 7 ref 50 ref 4296 ref 3282 ref appThm 4267 remove trans appThm 8899 ref refl appThm absThm appThm absThm appThm absThm appThm appThm sym 651 ref 48 ref 7 ref nil 7 ref 8914 remove cons 23 ref 786 remove 4299 remove appTerm nil cons cons nil cons cons nil cons cons 7888 ref subst 7869 ref 8912 remove appTerm 8918 def refl 8917 remove 4305 ref appThm 737 ref 7 ref 55 ref 172 remove 8 ref appTerm appTerm 34 ref appTerm absTerm 8919 def 34 ref appTerm 8920 def betaConv nil 22 ref 8919 ref appTerm 8921 def axiom nil 59 ref 8921 remove nil cons cons 60 ref 8920 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8919 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst trans appThm trans absThm appThm appThm 20 ref 8870 ref 20 ref 21 ref 22 ref 7 ref 26 ref 4261 remove appTerm 8899 remove appTerm absTerm appTerm absTerm 8922 def appTerm absTerm 8923 def appTerm 8924 def refl appThm sym nil 135 ref 8870 ref 64 ref 7 ref 8918 ref 733 ref appTerm absTerm 8925 def 8871 ref appTerm 8926 def appTerm 8924 ref appTerm 8927 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 8927 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 8926 ref nil cons 8928 def cons 60 ref 8924 ref nil cons 8929 def cons nil cons 8930 def cons nil cons cons 8931 def 81 ref subst 8931 remove 152 ref subst 8926 ref betaConv 8926 remove assume eqMp nil 59 ref 8918 remove 732 ref 8871 ref appTerm 8932 def appTerm 8933 def nil cons 8934 def cons 8930 remove cons nil cons cons 8935 def 132 ref subst proveHyp 8935 ref 81 ref subst 8935 remove 152 ref subst 8923 ref 8871 ref appTerm betaConv sym 8922 ref 37 ref 8871 ref appTerm 8936 def appTerm betaConv sym nil 135 ref "i" 3 ref var 8937 def 26 ref 4260 remove 8937 ref varTerm 8938 def appTerm 8939 def appTerm 8940 def 38 ref 8898 remove 8938 ref appTerm appTerm 8936 ref appTerm appTerm 8941 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8937 ref nil 94 ref 8941 remove nil cons cons nil cons nil cons cons 101 ref subst 8940 ref refl 3487 ref nil 728 ref 219 ref 8872 ref nil cons 8942 def cons nil cons cons nil cons cons 5931 ref subst 7 ref nil 4256 ref 8871 ref nil cons 8943 def cons nil cons nil cons cons 4296 ref subst 4301 ref appThm 7 ref 30 ref 8871 ref appTerm 8944 def 34 ref appTerm absTerm 733 ref appTerm betaConv trans absThm trans 8945 def 8938 ref refl appThm 7 ref 8944 ref 733 ref appTerm 8946 def absTerm 8947 def 8938 ref appTerm betaConv trans appThm 8936 ref refl appThm appThm sym 23 ref 26 ref 38 ref 8939 ref appTerm 8948 def 31 ref appTerm appTerm 38 ref 38 ref 8944 remove 732 ref 8938 ref appTerm appTerm 8949 def appTerm 8950 def 8936 ref appTerm 8951 def appTerm 31 ref appTerm appTerm absTerm 8952 def 37 ref 8938 ref appTerm 8953 def appTerm betaConv sym 26 ref 8948 remove 8953 ref appTerm 8954 def appTerm 8955 def refl nil 879 ref 8953 remove nil cons 8956 def cons 7 ref 8936 remove nil cons 8957 def cons 23 ref 8949 remove nil cons cons nil cons cons cons nil cons cons 5177 ref subst 8950 ref refl nil 879 ref 8938 ref nil cons 8958 def cons 8959 def 7 ref 8943 ref cons 8960 def 5254 ref cons cons nil cons cons 6095 ref subst appThm trans appThm sym 7 ref 70 ref 8955 ref 34 ref appTerm appTerm 885 ref 8950 remove 37 ref 38 ref 8871 ref appTerm 8961 def 8938 ref appTerm appTerm appTerm 8962 def appTerm appTerm absTerm 8963 def 30 ref 8938 ref appTerm 8964 def 8932 ref appTerm 8965 def appTerm betaConv sym 70 ref 8955 ref 8965 ref appTerm 8966 def appTerm refl nil 23 ref 8943 ref cons 8967 def 7 ref 8958 ref cons 8968 def nil cons 8969 def cons nil cons cons nil 94 ref 8112 remove 3239 remove 41 ref appTerm appTerm 8970 def nil cons 8971 def cons nil cons nil cons cons 101 ref subst 7 ref 70 ref 8096 remove 3240 remove 41 ref appTerm appTerm 8972 def appTerm 8970 remove appTerm absTerm 8973 def 34 ref appTerm 8974 def betaConv 23 ref 22 ref 8973 ref appTerm 8975 def absTerm 8976 def 31 ref appTerm 8977 def betaConv 49 ref 23 ref 49 ref 7 ref nil 879 ref 179 remove cons 8978 def 8119 remove cons nil cons cons 5992 ref subst absThm appThm absThm appThm 3092 remove assume eqMp nil 59 ref 22 ref 8976 ref appTerm nil cons cons 60 ref 8977 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8976 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8975 remove nil cons cons 60 ref 8974 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8973 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 107 ref 8972 remove nil cons cons 109 ref 8971 remove cons nil cons cons nil cons cons 687 ref subst proveHyp eqMp subst appThm nil 94 ref 8966 remove nil cons cons nil cons nil cons cons 1385 ref subst trans sym 50 ref nil 741 ref 8959 ref 23 ref 4265 remove cons nil cons 8979 def cons cons nil cons cons 8107 remove subst appThm 8965 ref refl appThm sym 26 ref 30 ref 38 ref 4257 ref appTerm 36 ref appTerm 8980 def appTerm 8938 ref appTerm appTerm refl nil 7 ref 8932 ref nil cons cons 8981 def 23 ref 8958 ref cons nil cons 8982 def cons nil cons cons 4293 ref subst appThm sym nil 8981 ref 8959 ref 23 ref 8980 ref nil cons cons nil cons 8983 def cons cons nil cons cons 879 ref 63 ref 26 ref 3186 ref appTerm 8984 def 3212 ref appTerm appTerm 5595 remove 55 ref 883 ref appTerm 8 ref appTerm 8985 def appTerm appTerm absTerm 8986 def 883 ref appTerm 8987 def betaConv 7 ref 22 ref 8986 ref appTerm 8988 def absTerm 8989 def 34 ref appTerm 8990 def betaConv 23 ref 22 ref 8989 ref appTerm 8991 def absTerm 8992 def 31 ref appTerm 8993 def betaConv nil 22 ref 8992 ref appTerm 8994 def axiom 8995 def nil 59 ref 8994 remove nil cons cons 8996 def 60 ref 8993 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8992 ref nil cons cons 8997 def 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8991 remove nil cons cons 60 ref 8990 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8989 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8988 remove nil cons cons 60 ref 8987 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8986 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp 8998 def subst sym 7911 remove nil 741 ref 8979 remove cons nil cons cons 3410 ref subst appThm 8932 ref refl appThm sym 8933 remove assume eqMp nil 59 ref 7869 ref 8980 ref appTerm 8932 ref appTerm nil cons cons 60 ref 26 ref 8980 remove appTerm 8932 remove appTerm nil cons 8999 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 8981 remove 8983 remove cons nil cons cons 7 ref 64 ref 7933 ref appTerm 957 ref appTerm absTerm 9000 def 34 ref appTerm 9001 def betaConv 23 ref 22 ref 9000 ref appTerm 9002 def absTerm 9003 def 31 ref appTerm 9004 def betaConv nil 22 ref 9003 ref appTerm 9005 def axiom nil 59 ref 9005 remove nil cons cons 60 ref 9004 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9003 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9002 remove nil cons cons 60 ref 9001 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9000 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 9006 def subst eqMp nil 107 ref 8999 remove cons 109 ref 55 ref 8938 ref appTerm 8 ref appTerm nil cons cons nil cons cons nil cons cons 1436 remove sym 9007 def nil 197 ref 94 ref 64 ref 1427 remove 97 ref appTerm 9008 def appTerm 64 ref 1423 remove 97 ref appTerm 9009 def appTerm 97 ref appTerm 9010 def appTerm 9011 def absTerm nil cons cons nil cons nil cons cons 261 remove subst 9012 def 94 ref nil 94 ref 9011 remove nil cons cons nil cons nil cons cons 101 ref subst 9013 def nil 59 ref 9008 ref nil cons 9014 def cons 60 ref 9010 remove nil cons 9015 def cons nil cons cons nil cons cons 9016 def 81 ref subst 9017 def 9016 remove 152 ref subst 9018 def nil 59 ref 9009 ref nil cons 9019 def cons 60 ref 199 ref cons nil cons 9020 def cons nil cons cons 9021 def 81 ref subst 9022 def 9021 remove 152 ref subst 9023 def nil 1833 remove 9020 ref cons nil cons cons 132 ref subst 9008 remove assume eqMp eqMp nil 107 ref 9019 remove cons 109 ref 199 remove cons nil cons cons nil cons cons 123 ref subst 9024 def deductAntisym eqMp eqMp nil 107 ref 9014 remove cons 109 ref 9015 remove cons nil cons cons nil cons cons 123 ref subst 9025 def deductAntisym eqMp eqMp absThm eqMp eqMp 9026 def subst proveHyp eqMp eqMp eqMp eqMp eqMp 134 ref 135 ref 8963 ref nil cons cons 136 ref 8965 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 8963 remove appTerm nil cons cons 60 ref 8955 remove 8962 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 8962 remove nil cons cons 23 ref 8954 remove nil cons cons nil cons cons nil cons cons 5363 ref subst eqMp eqMp eqMp 134 ref 135 ref 8952 ref nil cons cons 136 ref 8956 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 8952 remove appTerm nil cons cons 60 ref 8940 remove 8951 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 8951 remove nil cons cons 7 ref 8939 remove nil cons cons nil cons cons nil cons cons 879 ref 64 ref 20 ref 23 ref 7066 ref absTerm 9027 def appTerm 9028 def appTerm 9029 def 959 ref appTerm 9030 def absTerm 9031 def 883 ref appTerm 9032 def betaConv 7 ref 22 ref 9031 ref appTerm 9033 def absTerm 9034 def 34 ref appTerm 9035 def betaConv nil 135 ref 23 ref 22 ref 7 ref 22 ref 879 ref 64 ref 7066 ref appTerm 959 ref appTerm 9036 def absTerm 9037 def appTerm 9038 def absTerm 9039 def appTerm 9040 def absTerm 9041 def nil cons cons 9042 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9040 remove nil cons 9043 def cons nil cons nil cons cons 101 ref subst nil 135 ref 9039 ref nil cons cons 9044 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9038 remove nil cons 9045 def cons nil cons nil cons cons 101 ref subst nil 135 ref 9037 ref nil cons cons 9046 def nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 9036 remove nil cons 9047 def cons nil cons nil cons cons 101 ref subst 7077 ref nil 59 ref 7067 remove nil cons cons 60 ref 9047 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 59 ref 7066 remove nil cons 9048 def cons 9049 def 972 remove nil cons 9050 def cons nil cons cons 9051 def 1088 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 59 ref 22 ref 9041 ref appTerm 9052 def nil cons 9053 def cons 9054 def 60 ref 22 ref 9034 ref appTerm nil cons 9055 def cons nil cons cons nil cons cons 9056 def 132 ref subst proveHyp 9056 ref 81 ref subst 9056 remove 152 ref subst nil 135 ref 9034 remove nil cons cons 9057 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9033 remove nil cons 9058 def cons nil cons nil cons cons 101 ref subst nil 135 ref 9031 remove nil cons cons 9059 def nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 9030 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9028 remove nil cons 9060 def cons 9061 def 9050 ref cons nil cons cons 9062 def 81 ref subst 9062 remove 152 ref subst nil 9054 ref 9050 remove cons nil cons cons 9063 def 132 ref subst nil 9061 remove 60 ref 64 ref 9052 remove appTerm 959 remove appTerm 9064 def nil cons 9065 def cons nil cons 9066 def cons nil cons cons 132 ref subst nil 135 ref 23 ref 64 ref 9027 ref 31 ref appTerm 9067 def appTerm 9064 ref appTerm 9068 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9068 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9067 ref nil cons 9069 def cons 9066 ref cons nil cons cons 9070 def 81 ref subst 9070 remove 152 ref subst 9067 ref betaConv 9067 remove assume eqMp nil 9049 remove 9066 remove cons nil cons cons 9071 def 132 ref subst proveHyp 9071 ref 81 ref subst 9071 remove 152 ref subst 9063 ref 81 ref subst 9063 remove 152 ref subst 9051 remove 132 ref subst 9037 remove 883 ref appTerm 9072 def betaConv 9039 remove 34 ref appTerm 9073 def betaConv 9041 remove 31 ref appTerm 9074 def betaConv nil 9054 remove 60 ref 9074 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 9042 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9043 remove cons 60 ref 9073 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9044 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9045 remove cons 60 ref 9072 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9046 remove 903 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 9053 remove cons 9075 def 109 ref 971 remove cons nil cons 9076 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 9048 remove cons 109 ref 9065 remove cons nil cons 9077 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9069 remove cons 9077 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9027 ref 1065 ref appTerm appTerm 9064 ref appTerm absTerm appTerm nil cons cons 60 ref 9029 remove 9064 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9027 remove nil cons cons 9077 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 9060 remove cons 9076 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 9075 remove 109 ref 9055 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 9055 remove cons 60 ref 9035 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9057 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9058 remove cons 60 ref 9032 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9059 remove 903 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 8922 remove nil cons cons 136 ref 8957 remove cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 8923 remove nil cons cons 136 ref 8943 ref cons nil cons 9078 def cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 8934 remove cons 109 ref 8929 remove cons nil cons 9079 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 8928 remove cons 9079 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 8925 ref 1065 ref appTerm appTerm 8924 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 20 ref 8925 ref appTerm appTerm 8924 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8925 remove nil cons cons 9079 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp eqMp nil 107 ref 8907 remove cons 109 ref 8909 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 5401 remove 109 ref 8902 remove cons nil cons 9080 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 5403 remove 9080 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3278 ref 8901 ref appTerm absTerm appTerm nil cons cons 60 ref 3279 ref 8901 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3280 ref 9080 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 59 ref 705 ref 8885 ref appTerm nil cons 9081 def cons 9082 def 60 ref 705 ref 8880 ref appTerm nil cons 9083 def cons nil cons cons nil cons cons 9084 def 132 ref subst proveHyp 9084 ref 81 ref subst 9084 remove 152 ref subst nil 243 ref 8880 remove nil cons cons 9085 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 8879 remove nil cons cons nil cons nil cons cons 101 ref subst 8878 ref 81 ref subst 8878 remove 152 ref subst nil 135 ref 8875 ref nil cons cons 9086 def nil cons nil cons cons 841 ref subst 4256 ref nil 94 ref 8874 remove nil cons 9087 def cons nil cons nil cons cons 101 ref subst nil 8749 ref 60 ref 9087 remove cons nil cons cons nil cons cons 132 ref subst 8883 remove 4257 remove appTerm 9088 def betaConv 8885 remove 233 ref appTerm 9089 def betaConv nil 9082 remove 60 ref 9089 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 8886 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8887 remove cons 60 ref 9088 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 8888 remove 4295 remove cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 107 ref 8748 ref cons 9090 def 109 ref 8877 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 107 ref 9081 remove cons 109 ref 9083 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 9083 remove cons 60 ref 8881 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 9085 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 9091 def nil 59 ref 8877 ref cons 9092 def 60 ref 20 ref 8870 ref 22 ref 7 ref 64 ref 26 ref 8871 ref appTerm 9093 def 34 ref appTerm 9094 def appTerm 9095 def 1237 ref 55 ref 733 ref appTerm 8 ref appTerm 9096 def appTerm 9097 def appTerm absTerm 9098 def appTerm 9099 def absTerm 9100 def appTerm 9101 def nil cons 9102 def cons nil cons 9103 def cons nil cons cons 9104 def 132 ref subst proveHyp 9104 ref 81 ref subst 9104 remove 152 ref subst 8875 ref 4704 ref appTerm 9105 def betaConv nil 9092 ref 60 ref 9105 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 9086 ref 5976 ref cons nil cons cons 163 ref subst eqMp eqMp 9106 def nil 59 ref 20 ref 8870 ref 6768 ref 6681 ref appTerm 8873 ref appTerm absTerm appTerm nil cons cons 9107 def 9103 ref cons nil cons cons 132 ref subst proveHyp 651 ref 48 ref 8870 ref nil 8895 remove 6686 ref cons nil cons cons 6983 ref subst 48 ref 21 ref 49 ref 7 ref 50 ref 8869 remove appThm 3487 ref 8945 remove 3282 ref appThm 8947 remove 34 ref appTerm betaConv trans appThm 739 ref appThm appThm absThm appThm absThm appThm trans absThm appThm appThm 9108 def 9101 ref refl appThm sym nil 135 ref 6109 ref 64 ref 8870 ref 20 ref 21 ref 22 ref 7 ref 885 ref 38 ref 8946 remove appTerm 36 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9109 def 6110 ref appTerm 9110 def appTerm 9111 def 9101 ref appTerm 9112 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6109 ref nil 94 ref 9112 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9110 ref nil cons 9113 def cons 9114 def 9103 ref cons nil cons cons 9115 def 81 ref subst 9115 remove 152 ref subst 9110 ref betaConv 9110 remove assume eqMp 9116 def nil 59 ref 20 ref 21 ref 22 ref 7 ref 885 ref 38 ref 6115 ref 733 ref appTerm 9117 def appTerm 9118 def 36 ref appTerm appTerm absTerm appTerm absTerm 9119 def appTerm 9120 def nil cons cons 9121 def 9103 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 6145 ref 64 ref 9119 ref 6146 ref appTerm 9122 def appTerm 9123 def 9101 ref appTerm 9124 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6145 ref nil 94 ref 9124 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9122 ref nil cons 9125 def cons 9126 def 9103 ref cons nil cons cons 9127 def 81 ref subst 9127 remove 152 ref subst 9122 ref betaConv 9122 remove assume eqMp 9128 def nil 59 ref 22 ref 7 ref 885 ref 9118 remove 6146 ref appTerm 9129 def appTerm 9130 def absTerm 9131 def appTerm nil cons 9132 def cons 9133 def 9103 remove cons nil cons cons 9134 def 132 ref subst proveHyp 9134 ref 81 ref subst 9134 remove 152 ref subst 9100 ref 38 ref 6146 ref appTerm 4704 ref appTerm 9135 def appTerm betaConv sym nil 135 ref 7 ref 64 ref 26 ref 9135 ref appTerm 34 ref appTerm 9136 def appTerm 9097 ref appTerm 9137 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9137 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9136 ref nil cons 9138 def cons 60 ref 9097 remove nil cons 9139 def cons nil cons 9140 def cons nil cons cons 9141 def 81 ref subst 9141 remove 152 ref subst nil 107 ref 9096 ref nil cons 9142 def cons 9143 def nil cons nil cons cons 9144 def 7863 ref subst nil 59 ref 9142 remove cons 1330 ref cons nil cons cons 9145 def 81 ref subst 9145 remove 152 ref subst nil 9133 ref 1330 ref cons nil cons cons 132 ref subst nil 94 ref 9132 ref cons nil cons nil cons cons 1246 ref subst 111 ref 1443 ref 49 ref 7 ref 9131 ref 34 ref appTerm 9146 def betaConv 9147 def absThm appThm appThm appThm 48 ref 7 ref 1443 ref 9147 ref appThm absThm appThm appThm nil 4875 ref 9131 remove nil cons 9148 def cons nil cons nil cons cons 7879 ref subst eqMp trans 48 ref 7 ref nil 7 ref 9129 ref nil cons 9149 def cons 167 ref cons nil cons cons 7888 ref subst nil 23 ref 9149 ref cons nil cons nil cons cons 9150 def 7 ref 63 ref 7933 ref appTerm 26 ref 4854 ref appTerm 34 ref appTerm 9151 def appTerm 9152 def absTerm 9153 def 34 ref appTerm 9154 def betaConv 23 ref 22 ref 9153 ref appTerm 9155 def absTerm 9156 def 31 ref appTerm 9157 def betaConv 49 ref 23 ref 49 ref 7 ref 9152 remove assume sym 63 ref 9151 remove appTerm 7933 ref appTerm 9158 def assume sym deductAntisym absThm appThm absThm appThm nil 22 ref 23 ref 22 ref 7 ref 9158 remove absTerm 9159 def appTerm 9160 def absTerm 9161 def appTerm 9162 def axiom 9163 def eqMp nil 59 ref 22 ref 9156 ref appTerm nil cons cons 60 ref 9157 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9156 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9155 remove nil cons cons 60 ref 9154 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9153 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 9164 def subst trans 50 ref 9150 remove 5438 ref subst appThm 3282 ref appThm trans absThm appThm trans sym 7 ref 26 ref 38 ref 9129 ref appTerm 4704 ref appTerm appTerm 34 ref appTerm absTerm 9165 def 34 ref appTerm betaConv sym 50 ref 3487 ref 3487 ref 6115 remove refl 9096 ref assume appThm nil 6193 remove nil cons cons 164 ref subst trans appThm 6146 ref refl appThm nil 6192 ref nil cons nil cons cons 4310 remove subst trans appThm 4704 ref refl appThm appThm 3282 ref appThm nil 94 ref 9138 ref cons nil cons nil cons cons 101 ref subst 9136 remove assume eqMp trans sym 100 ref eqMp eqMp 134 ref 135 ref 9165 remove nil cons cons 176 ref cons nil cons cons 279 ref subst proveHyp eqMp eqMp eqMp nil 9143 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9138 remove cons 109 ref 9139 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 9100 ref nil cons cons 9166 def 136 ref 9135 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 9132 remove cons 9167 def 109 ref 9102 ref cons nil cons 9168 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9125 remove cons 9169 def 9168 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9119 ref 1065 ref appTerm appTerm 9170 def 9101 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9120 remove appTerm 9171 def 9101 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9119 remove nil cons cons 9172 def 9168 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9113 remove cons 9173 def 9168 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9109 ref 1065 ref appTerm appTerm 9174 def 9101 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 20 ref 9109 ref appTerm appTerm 9175 def 9101 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9109 remove nil cons cons 9176 def 9168 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 8877 remove cons 9177 def 9168 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp 9178 def nil 59 ref 9102 remove cons 9179 def 60 ref 20 ref 8870 ref 22 ref 7 ref 9095 ref 26 ref 29 ref 5938 ref 8263 ref 233 ref appTerm 9180 def 34 ref appTerm 9181 def appTerm 9182 def appTerm 9183 def 8258 ref appTerm 9184 def appTerm 9185 def 733 ref appTerm 9186 def appTerm 9187 def absTerm 9188 def appTerm 9189 def absTerm 9190 def appTerm 9191 def nil cons 9192 def cons nil cons 9193 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 8870 ref 64 ref 9100 ref 8871 ref appTerm 9194 def appTerm 9195 def 9191 ref appTerm 9196 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 9196 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9194 ref nil cons 9197 def cons 9198 def 9193 ref cons nil cons cons 9199 def 81 ref subst 9199 remove 152 ref subst 9194 ref betaConv 9194 remove assume eqMp 9200 def nil 59 ref 9099 remove nil cons 9201 def cons 9202 def 9193 remove cons nil cons cons 9203 def 132 ref subst proveHyp 9203 ref 81 ref subst 9203 remove 152 ref subst 9190 ref 8871 ref appTerm 9204 def betaConv 9205 def sym nil 135 ref 9188 ref nil cons cons 9206 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9187 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9094 ref nil cons 9207 def cons 9208 def 60 ref 9186 remove nil cons 9209 def cons nil cons 9210 def cons nil cons cons 9211 def 81 ref subst 9211 ref 152 ref subst nil 9208 ref 9140 remove cons nil cons cons 132 ref subst 9098 ref 34 ref appTerm 9212 def betaConv nil 9202 ref 60 ref 9212 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9098 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 9213 def nil 59 ref 9139 ref cons 9214 def 9210 ref cons nil cons cons 9215 def 132 ref subst proveHyp 9215 ref 81 ref subst 9215 remove 152 ref subst nil 9214 ref 60 ref 22 ref 23 ref 70 ref 4756 ref 38 ref 30 ref 8257 ref 31 ref appTerm 9216 def 733 ref appTerm appTerm 733 ref appTerm appTerm "Number.Natural.mod" const 28 remove constTerm 9217 def 31 ref appTerm 9218 def 733 ref appTerm 9219 def appTerm appTerm appTerm 7869 ref 9219 remove appTerm 733 ref appTerm appTerm absTerm 9220 def appTerm nil cons 9221 def cons nil cons cons nil cons cons 132 ref subst 737 remove 7 ref 64 ref 5736 ref appTerm 9222 def 22 ref 23 ref 70 ref 4756 ref 38 ref 30 ref 9216 ref 34 ref appTerm appTerm 34 ref appTerm appTerm 9218 ref 34 ref appTerm 9223 def appTerm 9224 def appTerm 9225 def appTerm 7869 ref 9223 remove appTerm 34 ref appTerm 9226 def appTerm 9227 def absTerm 9228 def appTerm 9229 def appTerm 9230 def absTerm 9231 def 34 ref appTerm 9232 def betaConv nil 59 ref 22 ref 23 ref 22 ref 7 ref 9222 ref 9227 ref appTerm absTerm 9233 def appTerm 9234 def absTerm 9235 def appTerm 9236 def nil cons 9237 def cons 9238 def nil cons nil cons cons 1252 ref subst sym nil 59 ref 1237 ref 9236 remove appTerm 9239 def nil cons 9240 def cons 9241 def 1330 ref cons nil cons cons 9242 def 81 ref subst 9242 remove 152 ref subst nil 22 ref 23 ref 22 ref 7 ref 9222 ref 55 ref 9224 ref appTerm 9243 def 31 ref appTerm 9244 def appTerm absTerm appTerm absTerm appTerm 9245 def axiom nil 59 ref 9245 ref nil cons 9246 def cons 1330 ref cons nil cons cons 9247 def 132 ref subst proveHyp nil 22 ref 23 ref 22 ref 7 ref 9222 remove 9226 ref appTerm absTerm appTerm absTerm appTerm 9248 def axiom nil 59 ref 9248 ref nil cons 9249 def cons 9250 def 60 ref 64 ref 9245 ref appTerm 1241 ref appTerm 9251 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 9241 ref 60 ref 64 ref 9248 ref appTerm 9252 def 9251 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst 64 ref 9239 ref appTerm refl 9252 ref refl nil 94 ref 9246 ref cons nil cons nil cons cons 1246 ref subst 9253 def appThm appThm sym nil 9241 remove 60 ref 9252 remove 1237 ref 9245 ref appTerm 9254 def appTerm nil cons 9255 def cons nil cons cons nil cons cons 9256 def 81 ref subst 9256 remove 152 ref subst nil 9250 remove 60 ref 9254 remove nil cons 9257 def cons nil cons cons nil cons cons 9258 def 81 ref subst 9258 remove 152 ref subst 9253 remove 9247 ref 81 ref subst 9247 remove 152 ref subst nil 135 ref 9235 ref nil cons cons 9259 def nil cons nil cons cons 5007 ref subst 48 ref 23 ref 1443 ref 9235 remove 31 ref appTerm 9260 def betaConv 9261 def appThm nil 135 ref 9233 ref nil cons cons 9262 def nil cons nil cons cons 5007 ref subst 48 ref 7 ref 1443 ref 9233 remove 34 ref appTerm 9263 def betaConv 9264 def appThm nil 7907 ref 60 ref 9227 remove nil cons 9265 def cons nil cons cons nil cons cons 9266 def nil 1336 remove 60 ref 63 ref 1237 ref 68 ref appTerm appTerm 1904 remove appTerm nil cons 9267 def cons nil cons 9268 def cons nil cons cons 9269 def 81 ref subst 9269 remove 152 ref subst 63 ref "_542" 16 ref var 9270 def 63 ref 1237 ref 64 ref 9270 remove varTerm 9271 def appTerm 67 ref appTerm appTerm appTerm 70 ref 9271 remove appTerm 1339 ref appTerm appTerm absTerm 9272 def 65 ref appTerm 9273 def appTerm refl 9274 def 9272 ref 1241 ref appTerm betaConv appThm 111 ref 9273 remove betaConv appThm 9275 def 63 ref 1237 ref 2720 remove appTerm appTerm 1915 remove appTerm refl appThm trans 9272 remove refl 9276 def 1358 remove appThm eqMp sym 111 ref 1443 ref 2722 remove appThm 1407 remove trans appThm 1918 remove appThm 1789 remove trans sym 100 ref eqMp eqMp eqMp nil 1387 remove 109 ref 9267 ref cons nil cons 9277 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1391 remove 9268 remove cons nil cons cons 9278 def 81 ref subst 9278 remove 152 ref subst 9274 remove "_540" 16 ref var 9279 def 63 ref 1237 ref 64 ref 9279 remove varTerm 9280 def appTerm 67 ref appTerm appTerm appTerm 70 ref 9280 remove appTerm 1339 remove appTerm appTerm absTerm 86 ref appTerm betaConv appThm 9275 remove 63 ref 1237 ref 2727 remove appTerm appTerm 1924 remove appTerm refl appThm trans 9276 remove 1400 remove appThm eqMp sym 111 ref 1443 ref 2728 remove appThm appThm 1926 remove appThm 1386 remove trans sym 100 ref eqMp eqMp eqMp nil 1413 ref 9277 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1420 remove nil 1413 remove 1421 remove 1422 ref 9267 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 9281 def subst 652 ref 5736 remove refl appThm nil 59 ref 9225 ref nil cons 9282 def cons 9283 def 60 ref 9226 ref nil cons 9284 def cons nil cons 9285 def cons nil cons cons 2034 ref subst appThm trans trans absThm appThm trans trans absThm appThm trans 9239 remove assume eqMp nil 59 ref 20 ref 23 ref 20 ref 7 ref 7868 remove 1337 ref 1237 ref 9225 remove appTerm 9286 def appTerm 1237 ref 9226 ref appTerm 9287 def appTerm 9288 def appTerm 9289 def absTerm 9290 def appTerm 9291 def absTerm 9292 def appTerm 9293 def nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 23 ref 64 ref 9292 ref 31 ref appTerm 9294 def appTerm 1241 ref appTerm 9295 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9295 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9294 ref nil cons 9296 def cons 1330 ref cons nil cons cons 9297 def 81 ref subst 9297 remove 152 ref subst 9294 ref betaConv 9294 remove assume eqMp nil 59 ref 9291 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 7 ref 64 ref 9290 ref 34 ref appTerm 9298 def appTerm 1241 ref appTerm 9299 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9299 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9298 ref nil cons 9300 def cons 1330 ref cons nil cons cons 9301 def 81 ref subst 9301 remove 152 ref subst 9298 ref betaConv 9298 remove assume eqMp nil 59 ref 9289 remove nil cons 9302 def cons 1330 ref cons nil cons cons 9303 def 132 ref subst proveHyp 9303 ref 81 ref subst 9303 remove 152 ref subst nil 59 ref 9287 ref nil cons 9304 def cons 1330 ref cons nil cons cons 9305 def 81 ref subst 9305 remove 152 ref subst nil "_2328" 3 ref var 9306 def 137 ref cons nil cons nil cons cons nil 7948 ref 109 ref 9288 remove nil cons cons nil cons cons nil cons cons 9307 def 123 ref subst 9308 def nil 7907 ref 60 ref 7869 ref 9217 ref 9306 remove varTerm 9309 def appTerm 9310 def 34 ref appTerm appTerm 34 ref appTerm 9311 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_2329" 3 ref var 9312 def 166 ref cons nil cons nil cons cons nil 1642 ref 55 ref 9312 remove varTerm 9313 def appTerm 8 ref appTerm nil cons 9314 def cons 1648 ref 7869 ref 9310 remove 9313 ref appTerm appTerm 9313 ref appTerm nil cons 9315 def cons nil cons cons nil cons cons 1705 ref subst nil 60 ref 9315 remove cons 59 ref 9314 remove cons nil cons cons nil cons cons 1724 ref subst 7 ref 8007 ref 9311 remove appTerm absTerm 9316 def 9313 ref appTerm 9317 def betaConv 23 ref 22 ref 7 ref 8007 ref 9226 ref appTerm absTerm appTerm absTerm 9318 def 9309 ref appTerm 9319 def betaConv 49 ref 23 ref 49 ref 7 ref nil 7907 ref 9285 remove cons nil cons cons 2729 ref subst 1371 ref nil 5701 remove nil cons nil cons cons 1251 ref subst appThm 9320 def 9226 remove refl appThm trans absThm appThm absThm appThm 9248 remove assume eqMp nil 59 ref 22 ref 9318 ref appTerm nil cons cons 60 ref 9319 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9318 remove nil cons cons 136 ref 9309 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 9316 ref appTerm nil cons cons 60 ref 9317 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9316 remove nil cons cons 136 ref 9313 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp subst nil 59 ref 9284 remove cons 9321 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 9321 remove nil cons nil cons cons 1613 ref subst 9287 remove assume eqMp eqMp eqMp nil 107 ref 9304 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 9286 ref nil cons 9322 def cons 1330 ref cons nil cons cons 9323 def 81 ref subst 9323 remove 152 ref subst nil "_2326" 3 ref var 9324 def 137 ref cons nil cons nil cons cons 9308 remove nil 7907 ref 60 ref 55 ref 38 ref 30 ref 8257 ref 9324 remove varTerm 9325 def appTerm 9326 def 34 ref appTerm appTerm 34 ref appTerm appTerm 9217 ref 9325 ref appTerm 9327 def 34 ref appTerm appTerm appTerm 9325 ref appTerm 9328 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_2327" 3 ref var 9329 def 166 ref cons nil cons nil cons cons nil 1642 ref 55 ref 9329 remove varTerm 9330 def appTerm 8 ref appTerm 9331 def nil cons 9332 def cons 1648 ref 55 ref 38 ref 30 ref 9326 remove 9330 ref appTerm appTerm 9330 ref appTerm appTerm 9327 remove 9330 ref appTerm appTerm appTerm 9325 ref appTerm 9333 def nil cons 9334 def cons nil cons cons nil cons cons 1705 ref subst 63 ref 1337 ref 9331 remove appTerm 9333 remove appTerm 9335 def appTerm refl nil 60 ref 9332 remove cons 59 ref 9334 remove cons nil cons cons nil cons cons 1724 ref subst appThm nil 198 ref 9335 remove nil cons cons nil cons nil cons cons 635 ref subst trans sym 100 ref eqMp 7 ref 8007 ref 9328 remove appTerm absTerm 9336 def 9330 ref appTerm 9337 def betaConv 23 ref 22 ref 7 ref 8007 remove 9244 ref appTerm absTerm appTerm absTerm 9338 def 9325 ref appTerm 9339 def betaConv 49 ref 23 ref 49 ref 7 ref nil 7907 ref 60 ref 9244 ref nil cons 9340 def cons nil cons cons nil cons cons 2729 ref subst 9320 remove 9244 ref refl appThm trans absThm appThm absThm appThm 9245 remove assume eqMp nil 59 ref 22 ref 9338 ref appTerm nil cons cons 60 ref 9339 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9338 remove nil cons cons 136 ref 9325 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 9336 ref appTerm nil cons cons 60 ref 9337 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9336 remove nil cons cons 136 ref 9330 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp subst nil 59 ref 9340 remove cons 60 ref 9243 remove 9224 ref appTerm 9341 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 136 ref 9224 remove nil cons 9342 def cons nil cons 9343 def nil cons cons 5161 remove subst eqMp nil 59 ref 70 ref 9244 remove appTerm 9341 remove appTerm nil cons cons 60 ref 9282 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 5124 remove 9342 remove cons 5126 remove 137 ref cons 9343 remove cons cons nil cons cons 5141 remove subst eqMp nil 9283 ref 1330 ref cons nil cons cons 132 ref subst proveHyp nil 9283 remove nil cons nil cons cons 1613 ref subst 9286 remove assume eqMp eqMp eqMp nil 107 ref 9322 remove cons 9344 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp 9307 remove 687 ref subst nil 9344 remove 109 ref 9304 remove cons 1929 ref cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp nil 107 ref 9302 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9300 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9290 ref 1065 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9291 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9290 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9296 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9292 ref 1065 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9293 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9292 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9246 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9249 remove cons 109 ref 9257 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 9240 remove cons 9345 def 109 ref 9255 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 9345 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 9238 ref 60 ref 22 ref 9231 ref appTerm nil cons 9346 def cons nil cons cons nil cons cons 9347 def 132 ref subst proveHyp 9347 ref 81 ref subst 9347 remove 152 ref subst nil 135 ref 9231 remove nil cons cons 9348 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9230 remove nil cons cons nil cons nil cons cons 101 ref subst nil 7907 remove 60 ref 9229 remove nil cons 9349 def cons nil cons cons nil cons cons 9350 def 81 ref subst 9350 remove 152 ref subst nil 135 ref 9228 remove nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9265 remove cons nil cons nil cons cons 101 ref subst 9266 remove 132 ref subst 9264 remove 9261 remove nil 9238 remove 60 ref 9260 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 9259 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9234 remove nil cons cons 60 ref 9263 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9262 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 7948 remove 109 ref 9349 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 107 ref 9237 remove cons 109 ref 9346 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 9346 remove cons 60 ref 9232 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9348 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp 9351 def subst eqMp nil 59 ref 9221 ref cons 9352 def 9210 remove cons nil cons cons 9353 def 132 ref subst proveHyp 9353 ref 81 ref subst 9353 remove 152 ref subst 9220 ref 8258 ref appTerm 9354 def betaConv nil 9352 remove 60 ref 9354 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9220 remove nil cons cons 136 ref 8258 ref nil cons 9355 def cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 9356 def nil 107 ref 55 ref 8258 ref appTerm 38 ref 30 ref 8259 remove 733 ref appTerm 9357 def appTerm 733 ref appTerm appTerm 9217 ref 8258 ref appTerm 733 ref appTerm 9358 def appTerm 9359 def appTerm 9360 def nil cons cons 109 ref 7869 ref 9358 ref appTerm 733 ref appTerm nil cons 9361 def cons nil cons cons nil cons cons 9362 def 123 ref subst proveHyp 9356 remove 9362 remove 687 ref subst proveHyp 63 ref "_16608" 3 ref var 9363 def 26 ref 9183 ref 9363 remove varTerm appTerm appTerm 733 ref appTerm absTerm 9364 def 8258 ref appTerm 9365 def appTerm refl 9364 ref 9359 ref appTerm betaConv appThm 111 ref 9365 remove betaConv appThm 26 ref 9183 remove 9359 ref appTerm appTerm 733 ref appTerm refl appThm trans 9364 remove refl 9360 remove assume appThm eqMp sym 50 ref 51 ref 5938 ref refl 9366 def nil 8256 remove 244 ref cons nil cons nil cons cons 8262 remove 8260 ref refl appThm 8261 remove 8260 remove appTerm betaConv trans subst 9367 def 3282 ref appThm 7 ref 9357 ref absTerm 9368 def 34 ref appTerm betaConv trans appThm appThm 9359 remove refl appThm appThm 4301 ref appThm sym 50 ref 29 ref 5938 ref 9357 ref appTerm 9369 def appTerm refl 3487 ref nil 735 ref 23 ref 9357 remove nil cons cons nil cons cons nil cons cons 4293 ref subst appThm 9358 ref refl appThm appThm appThm 4301 ref appThm sym 50 ref nil 7 ref 9358 ref nil cons 9370 def cons 23 ref 9369 remove nil cons cons nil cons cons nil cons cons 7461 remove subst appThm 4301 ref appThm sym nil 59 ref 9361 remove cons 60 ref 26 ref 9358 remove appTerm 733 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 735 ref 23 ref 9370 remove cons nil cons cons nil cons cons 9006 remove subst eqMp eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 9221 remove cons 109 ref 9209 remove cons nil cons 9371 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9139 remove cons 9371 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9207 ref cons 9372 def 9371 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 9190 ref nil cons cons 9373 def 9078 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 9201 remove cons 9374 def 109 ref 9192 ref cons nil cons 9375 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9197 remove cons 9376 def 9375 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9100 remove 1065 ref appTerm appTerm 9377 def 9191 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9101 remove appTerm 9378 def 9191 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9166 ref 9375 remove cons nil cons cons 1090 ref subst eqMp eqMp 9379 def nil 59 ref 9192 remove cons 9380 def 60 ref 20 ref 5689 ref 20 ref 21 ref 22 ref 7 ref 26 ref 8845 ref 8258 ref appTerm appTerm 9381 def 6169 remove appTerm absTerm appTerm absTerm appTerm absTerm 9382 def appTerm 9383 def nil cons 9384 def cons nil cons 9385 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 8870 ref 64 ref 9204 ref appTerm 9386 def 9383 ref appTerm 9387 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 9387 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9204 ref nil cons 9388 def cons 9389 def 9385 ref cons nil cons cons 9390 def 81 ref subst 9390 remove 152 ref subst 9205 remove 9204 remove assume eqMp 9391 def nil 59 ref 9189 remove nil cons 9392 def cons 9393 def 9385 ref cons nil cons cons 9394 def 132 ref subst proveHyp 9394 ref 81 ref subst 9394 remove 152 ref subst 6007 ref nil 59 ref 5960 remove cons 9395 def 9385 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref "A'" 3 ref var 9396 def 64 ref 5955 ref 9396 ref varTerm 9397 def appTerm 9398 def appTerm 9383 ref appTerm 9399 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 9396 remove nil 94 ref 9399 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9398 ref nil cons 9400 def cons 9385 ref cons nil cons cons 9401 def 81 ref subst 9401 remove 152 ref subst 9398 ref betaConv 9398 remove assume eqMp nil 59 ref 20 ref 21 ref 22 ref 7 ref 5954 ref 38 ref 30 ref 9397 ref appTerm 9402 def 34 ref appTerm 9403 def appTerm 9404 def 36 ref appTerm appTerm absTerm appTerm absTerm 9405 def appTerm 9406 def nil cons cons 9385 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 5965 ref 64 ref 9405 ref 5967 ref appTerm 9407 def appTerm 9383 ref appTerm 9408 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 5965 remove nil 94 ref 9408 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9407 ref nil cons 9409 def cons 9385 ref cons nil cons cons 9410 def 81 ref subst 9410 remove 152 ref subst 9407 ref betaConv 9407 remove assume eqMp nil 59 ref 22 ref 7 ref 5954 ref 9404 remove 5967 ref appTerm appTerm 9411 def absTerm 9412 def appTerm nil cons 9413 def cons 9414 def 9385 ref cons nil cons cons 9415 def 132 ref subst proveHyp 9415 ref 81 ref subst 9415 remove 152 ref subst 6145 ref 20 ref 849 ref 22 ref 7 ref 9185 remove 6160 ref appTerm 9416 def absTerm 9417 def appTerm 9418 def absTerm 9419 def appTerm 9420 def absTerm 9421 def 9397 ref appTerm betaConv sym 111 ref 48 ref 849 ref 49 ref 7 ref 50 ref 7 ref 9184 ref absTerm 9422 def 34 ref appTerm betaConv appThm 3487 ref 7 ref 9403 remove absTerm 9423 def 34 ref appTerm betaConv appThm 850 ref refl 9424 def appThm appThm absThm appThm absThm appThm appThm 48 ref 849 ref 48 ref 7 ref 49 ref 864 ref 64 ref 885 ref 865 ref appTerm 9425 def appTerm 9426 def refl 9427 def 50 ref 9422 ref 865 ref appTerm betaConv appThm 3487 ref 9423 ref 865 ref appTerm betaConv appThm 9424 remove appThm appThm appThm absThm appThm absThm appThm absThm appThm appThm nil 6171 ref 9422 remove nil cons cons "q" 5 ref var 9428 def 9423 remove nil cons cons nil cons cons nil cons cons 9428 ref 63 ref 20 ref 4664 ref 22 ref 8937 ref 26 ref 6172 ref 8938 ref appTerm appTerm 38 ref 9428 ref varTerm 9429 def 8938 ref appTerm appTerm 4665 ref appTerm appTerm 9430 def absTerm appTerm absTerm appTerm appTerm 20 ref 4664 ref 20 ref 7 ref 22 ref 8937 ref 64 ref 885 ref 8938 ref appTerm 9431 def appTerm 9432 def 9430 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 9433 def 9429 ref appTerm 9434 def betaConv 6171 ref 3105 ref 9433 ref appTerm 9435 def absTerm 9436 def 6172 remove appTerm 9437 def betaConv nil 3105 ref 9436 ref appTerm 9438 def axiom nil 59 ref 9438 remove nil cons cons 60 ref 9437 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3108 ref 3107 ref 9436 remove nil cons cons 6178 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9435 remove nil cons cons 60 ref 9434 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3108 ref 3107 ref 9433 remove nil cons cons 6 ref 9429 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 9439 def subst eqMp sym 849 ref 20 ref 7 ref 22 ref 864 ref 9426 ref 26 ref 29 ref 30 ref 5971 ref appTerm 9440 def 9180 ref 865 ref appTerm 9441 def appTerm 9442 def appTerm 5972 ref 865 ref appTerm 9443 def appTerm 9444 def appTerm 9445 def 38 ref 9402 remove 865 ref appTerm appTerm 9446 def 850 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9447 def 5967 ref appTerm betaConv sym 7 ref 22 ref 864 ref 9426 ref 9445 ref 9446 remove 5967 ref appTerm 9448 def appTerm 9449 def appTerm absTerm appTerm absTerm 9450 def 8871 ref appTerm betaConv sym nil 135 ref 864 ref 64 ref 9093 ref 865 ref appTerm 9451 def appTerm 9449 ref appTerm 9452 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 864 ref nil 94 ref 9452 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9451 ref nil cons 9453 def cons 9454 def 60 ref 9449 remove nil cons 9455 def cons nil cons 9456 def cons nil cons cons 9457 def 81 ref subst 9457 remove 152 ref subst 7 ref 70 ref 9445 ref 34 ref appTerm appTerm 885 ref 9448 ref appTerm appTerm absTerm 9458 def 5971 ref appTerm betaConv sym 70 ref 9445 remove 5971 ref appTerm 9459 def appTerm refl nil 7 ref 865 ref nil cons 9460 def cons 9461 def nil cons nil cons cons 9462 def nil 94 ref 9411 remove nil cons cons nil cons nil cons cons 101 ref subst 9412 ref 34 ref appTerm 9463 def betaConv nil 9414 remove 60 ref 9463 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9412 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp subst appThm nil 94 ref 9459 remove nil cons 9464 def cons nil cons nil cons cons 1385 ref subst trans sym nil 9454 remove 60 ref 9464 remove cons nil cons cons nil cons cons 132 ref subst 9462 ref 9188 remove 34 ref appTerm 9465 def betaConv nil 9393 ref 60 ref 9465 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 9206 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp 9466 def subst eqMp eqMp eqMp 134 ref 135 ref 9458 ref nil cons cons 136 ref 5971 ref nil cons 9467 def cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 9458 remove appTerm nil cons cons 9456 remove cons nil cons cons 132 ref subst proveHyp nil 879 ref 9448 remove nil cons cons 23 ref 9444 remove nil cons cons nil cons cons nil cons cons 5363 ref subst eqMp eqMp nil 107 ref 9453 remove cons 109 ref 9455 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 9450 remove nil cons cons 9078 ref cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 9447 remove nil cons cons 136 ref 5967 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp eqMp 134 ref 135 ref 9421 ref nil cons cons 9468 def 136 ref 9397 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 9421 ref appTerm 9469 def nil cons cons 9385 ref cons nil cons cons 132 ref subst nil 135 ref 6145 ref 64 ref 9421 ref 6146 ref appTerm 9470 def appTerm 9383 ref appTerm 9471 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6145 ref nil 94 ref 9471 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9470 ref nil cons 9472 def cons 9385 ref cons nil cons cons 9473 def 81 ref subst 9473 remove 152 ref subst 9470 ref betaConv 9470 remove assume eqMp nil 59 ref 9420 ref nil cons cons 9385 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 849 ref 64 ref 9419 ref 850 ref appTerm 9474 def appTerm 9383 ref appTerm 9475 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 9475 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9474 ref nil cons 9476 def cons 9385 ref cons nil cons cons 9477 def 81 ref subst 9477 remove 152 ref subst 9474 ref betaConv 9474 remove assume eqMp nil 59 ref 9418 remove nil cons 9478 def cons 9479 def 9385 remove cons nil cons cons 9480 def 132 ref subst proveHyp 9480 ref 81 ref subst 9480 remove 152 ref subst 9382 ref 6182 ref appTerm betaConv sym 21 ref 22 ref 7 ref 9381 ref 6186 remove appTerm absTerm appTerm absTerm 9481 def 861 remove appTerm betaConv sym nil 135 ref 7 ref 9381 remove 6188 ref appTerm 9482 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9482 remove nil cons 9483 def cons nil cons nil cons cons 101 ref subst 864 ref 26 ref 38 ref 8845 remove 865 ref appTerm appTerm 866 remove 8258 ref appTerm appTerm appTerm 6188 ref appTerm absTerm 9484 def 8846 ref appTerm betaConv sym 26 ref 38 ref 8847 ref appTerm 29 ref 8846 ref appTerm 8258 ref appTerm 9485 def appTerm appTerm 9486 def refl 9487 def 6196 remove appThm sym 9487 remove 6209 remove appThm sym 652 ref nil 94 ref 8864 ref nil cons cons nil cons nil cons cons 101 ref subst 8865 ref 34 ref appTerm 9488 def betaConv nil 8867 remove 60 ref 9488 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 8865 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm 26 ref 9485 ref appTerm 6160 remove appTerm 9489 def refl appThm nil 94 ref 9489 ref nil cons cons nil cons nil cons cons 874 ref subst trans sym 50 ref 51 ref nil 735 ref 23 ref 8839 remove nil cons cons nil cons cons nil cons cons 4293 ref subst appThm 8258 ref refl 9490 def appThm appThm 6217 ref appThm sym 50 ref 51 ref 9366 remove 3068 ref 3069 ref nil 8253 remove 244 ref cons nil cons nil cons cons 8265 remove 8255 ref refl appThm 8264 remove 8255 remove appTerm betaConv trans subst 9491 def appThm appThm 8245 ref 1 ref 16 ref 1 ref 5 ref 1 ref 5 ref 27 remove cons opType nil cons cons opType nil cons cons opType constTerm 9492 def 8746 ref appTerm 9 ref appTerm 9180 ref appTerm 9493 def refl appThm sym nil 8749 ref 60 ref 3067 remove 224 remove 8254 ref 8746 ref appTerm 4236 ref appTerm 310 ref 9180 ref appTerm 9494 def appTerm appTerm appTerm 9493 remove appTerm nil cons 9495 def cons nil cons 9496 def cons nil cons cons 9497 def 81 ref subst 9497 remove 152 ref subst 3068 ref 3069 ref 8254 remove refl 9498 def nil 8749 ref 60 ref 63 ref 8746 ref appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 107 ref 8762 ref cons 9499 def nil cons nil cons cons 1855 ref subst eqMp 9500 def appThm 4236 ref refl 9501 def appThm 9494 ref refl 9502 def appThm nil "t2" 214 ref var 9503 def 9494 remove nil cons cons "t1" 214 ref var 4240 ref cons nil cons 9504 def cons nil cons cons 9505 def 726 ref 8419 ref subst subst trans appThm appThm 9492 remove refl 9506 def 9500 remove appThm 9 remove refl 9507 def appThm 9180 ref refl 9508 def appThm nil "t2" 5 ref var 9180 ref nil cons 9509 def cons "t1" 5 remove var 10 remove cons nil cons cons nil cons cons 9510 def 3109 ref 8419 remove subst subst trans 9511 def appThm sym nil 3074 ref 9509 ref cons nil cons nil cons cons 3080 remove subst nil 6 ref 9509 remove cons nil cons nil cons cons 47 ref subst trans sym 9379 remove nil 9380 remove 60 ref 20 ref 8870 ref 22 ref 23 ref 22 ref 7 ref 9095 ref 26 ref 29 ref 32 ref 30 ref 3084 ref appTerm 9512 def 9182 ref appTerm 9513 def appTerm appTerm 9514 def 32 ref 9512 ref 8258 remove appTerm 9515 def appTerm appTerm appTerm 32 ref 9512 ref 733 ref appTerm 9516 def appTerm 9517 def appTerm 9518 def appTerm 9519 def absTerm 9520 def appTerm 9521 def absTerm 9522 def appTerm 9523 def absTerm 9524 def appTerm 9525 def nil cons 9526 def cons nil cons 9527 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 8870 ref 9386 remove 9525 ref appTerm 9528 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 9528 remove nil cons cons nil cons nil cons cons 101 ref subst nil 9389 remove 9527 ref cons nil cons cons 9529 def 81 ref subst 9529 remove 152 ref subst 9391 remove nil 9393 remove 9527 remove cons nil cons cons 9530 def 132 ref subst proveHyp 9530 ref 81 ref subst 9530 remove 152 ref subst 9524 ref 8871 ref appTerm 9531 def betaConv 9532 def sym nil 135 ref 9522 ref nil cons cons 9533 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9521 remove nil cons 9534 def cons nil cons nil cons cons 101 ref subst nil 135 ref 9520 ref nil cons cons 9535 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9519 remove nil cons cons nil cons nil cons cons 101 ref subst nil 9208 ref 60 ref 9518 ref nil cons 9536 def cons nil cons cons nil cons cons 9537 def 81 ref subst 9537 ref 152 ref subst 50 ref nil 879 ref 9515 remove nil cons cons 7 ref 9513 remove nil cons cons nil cons cons nil cons cons 7364 ref subst 52 ref nil 879 ref 9355 remove cons 9538 def 7 ref 9182 remove nil cons 9539 def cons 5593 ref cons cons nil cons cons 7364 remove subst appThm nil 879 ref 9184 remove nil cons 9540 def cons 5484 ref cons nil cons cons 5662 ref subst trans trans appThm nil 4796 ref 5484 remove cons nil cons cons 5662 ref subst appThm sym nil 4796 ref 7 ref 9540 remove cons 23 ref 32 ref 3084 ref appTerm 9541 def nil cons cons nil cons cons cons nil cons cons 5820 ref subst sym 9211 remove 132 ref subst 9466 remove eqMp nil 107 ref 55 ref 9541 remove appTerm 8 ref appTerm nil cons cons 9371 remove cons nil cons cons 9007 remove 9012 remove 94 ref 9013 remove 9017 remove 9018 remove 9022 remove 9023 remove nil 59 ref 264 remove cons 9020 remove cons nil cons cons 132 ref subst 9009 remove assume eqMp eqMp 9024 remove deductAntisym eqMp eqMp 9025 remove deductAntisym eqMp eqMp absThm eqMp eqMp 9542 def subst proveHyp eqMp eqMp eqMp nil 9372 ref 109 ref 9536 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 9524 ref nil cons cons 9543 def 9078 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 9392 remove cons 9544 def 109 ref 9526 ref cons nil cons 9545 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9388 remove cons 9546 def 9545 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9190 remove 1065 ref appTerm appTerm 9547 def 9525 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9191 remove appTerm 9548 def 9525 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9373 ref 9545 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 9526 remove cons 60 ref 20 ref 8870 ref 22 ref 23 ref 22 ref 7 ref 64 ref 70 ref 9093 remove 31 ref appTerm 9549 def appTerm 9094 ref appTerm 9550 def appTerm 9551 def 26 ref 30 ref 9516 ref appTerm 9552 def 29 ref 32 ref 9181 ref appTerm 9553 def appTerm 35 ref 9180 ref 31 ref appTerm 9554 def appTerm 9555 def appTerm 9556 def appTerm 9557 def appTerm 9558 def 38 ref 5650 ref 3086 remove appTerm 9559 def appTerm 9552 ref 40 ref appTerm 9560 def appTerm 9561 def appTerm 9562 def appTerm 9563 def absTerm 9564 def appTerm 9565 def absTerm 9566 def appTerm absTerm 9567 def appTerm 9568 def nil cons 9569 def cons nil cons 9570 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 8870 ref 64 ref 9531 ref appTerm 9568 ref appTerm 9571 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 9571 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9531 ref nil cons 9572 def cons 9570 ref cons nil cons cons 9573 def 81 ref subst 9573 remove 152 ref subst 9532 remove 9531 remove assume eqMp nil 59 ref 9523 remove nil cons 9574 def cons 9575 def 9570 remove cons nil cons cons 9576 def 132 ref subst proveHyp 9576 ref 81 ref subst 9576 remove 152 ref subst 9567 ref 8871 ref appTerm betaConv sym nil 135 ref 9566 remove nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9565 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 9564 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9563 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9550 remove nil cons 9577 def cons 9578 def 60 ref 9562 ref nil cons 9579 def cons nil cons 9580 def cons nil cons cons 9581 def 81 ref subst 9581 remove 152 ref subst nil 107 ref 9549 ref nil cons 9582 def cons 9583 def 109 ref 9207 ref cons nil cons cons nil cons cons 9584 def 123 ref subst 9584 remove 687 ref subst 50 ref nil 879 ref 9555 ref nil cons 9585 def cons 9586 def 7 ref 9553 ref nil cons 9587 def cons 23 ref 9516 ref nil cons 9588 def cons nil cons 9589 def cons cons nil cons cons 4795 ref subst appThm 3487 ref nil 3244 ref 5717 remove 23 ref 5672 ref cons nil cons 9590 def cons cons nil cons cons 4795 remove subst appThm nil 4268 ref 4283 ref 9589 ref cons cons nil cons cons 3199 ref subst appThm appThm sym 26 ref 29 ref 9552 ref 9553 remove appTerm 9591 def appTerm 9592 def 9552 ref 9555 remove appTerm 9593 def appTerm appTerm 9594 def refl 3487 ref nil 7 ref 5650 ref 3085 ref appTerm 9595 def nil cons cons 9596 def 23 ref 5650 ref 3082 remove appTerm 9597 def nil cons 9598 def cons nil cons cons nil cons cons 805 ref subst appThm 38 ref 9552 ref 31 ref appTerm 9599 def appTerm 9552 remove 34 ref appTerm 9600 def appTerm 9601 def refl appThm appThm sym 9537 remove 132 ref subst 9520 remove 34 ref appTerm 9602 def betaConv 9522 remove 31 ref appTerm 9603 def betaConv nil 9575 remove 60 ref 9603 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 9533 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9534 remove cons 60 ref 9602 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9535 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 9604 def nil 59 ref 9536 ref cons 60 ref 26 ref 9592 remove 9595 ref appTerm appTerm 9599 ref appTerm 9605 def nil cons 9606 def cons nil cons cons nil cons cons 132 ref subst proveHyp 111 ref 50 ref 9514 ref refl 52 ref nil 4268 ref 5593 ref cons nil cons cons 4281 ref subst 165 ref nil 5593 ref nil cons cons 4293 ref subst appThm trans appThm appThm appThm 9517 ref refl appThm appThm 50 ref 51 ref nil 879 ref 9587 ref cons 735 remove 5593 ref cons 9607 def cons nil cons cons 6085 ref subst 9512 ref refl 9608 def nil 879 ref 9181 ref nil cons 9609 def cons 4283 ref 912 ref cons 9610 def cons nil cons cons 4281 ref subst appThm nil 879 ref 9539 remove cons 4283 ref 5593 ref cons 9611 def cons nil cons cons 4281 ref subst trans trans appThm nil 3244 remove nil cons nil cons cons 6085 ref subst appThm appThm nil 4282 ref 9607 ref cons nil cons cons 6085 ref subst 9608 ref nil 9610 ref nil cons cons 4293 ref subst 9612 def appThm nil 4796 ref 9611 remove cons nil cons cons 4281 ref subst trans trans appThm appThm nil 198 ref 26 ref 9514 remove 32 ref 35 ref 3085 remove appTerm appTerm appTerm appTerm 9517 remove appTerm nil cons cons nil cons nil cons cons 635 ref subst trans sym 100 ref eqMp nil 59 ref 63 ref 9518 ref appTerm 9605 ref appTerm nil cons cons 60 ref 64 ref 9518 ref appTerm 9605 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 1642 ref 9606 ref cons 1648 ref 9536 ref cons nil cons cons nil cons cons 1642 ref 2464 remove 2428 ref appTerm absTerm 9613 def 1657 ref appTerm 9614 def betaConv 1648 ref 194 ref 9613 ref appTerm 9615 def absTerm 9616 def 1651 ref appTerm 9617 def betaConv nil 194 ref 9616 ref appTerm 9618 def axiom nil 59 ref 9618 remove nil cons cons 60 ref 9617 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 9616 remove nil cons cons 1702 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9615 remove nil cons cons 60 ref 9614 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 9613 remove nil cons cons 1680 remove cons nil cons cons 163 ref subst eqMp eqMp 9619 def subst eqMp eqMp nil 59 ref 9606 remove cons 60 ref 26 ref 29 ref 9593 ref appTerm 9597 ref appTerm appTerm 9600 ref appTerm 9620 def nil cons 9621 def cons nil cons 9622 def cons nil cons cons 152 ref subst proveHyp "m'" 3 ref var 9623 def 26 ref 29 ref 30 ref 9623 remove varTerm 9624 def appTerm 9625 def 30 ref 732 remove 9624 remove appTerm appTerm 9626 def 9512 ref 9554 ref appTerm 9627 def appTerm appTerm appTerm 9625 ref 9626 ref 32 ref 31 ref appTerm 9628 def appTerm appTerm appTerm appTerm 9625 remove 9626 remove 3084 ref appTerm appTerm appTerm absTerm 9629 def 34 ref appTerm 9630 def betaConv nil 59 ref 9582 ref cons 9631 def 60 ref 22 ref 9629 ref appTerm nil cons 9632 def cons nil cons cons nil cons cons 132 ref subst 4919 ref nil 9208 ref 60 ref 22 ref 23 ref 9518 remove absTerm 9633 def appTerm nil cons 9634 def cons nil cons cons nil cons cons 9635 def 81 ref subst 9635 remove 152 ref subst nil 135 ref 9633 remove nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9536 remove cons nil cons nil cons cons 101 ref subst 9604 remove eqMp absThm eqMp eqMp nil 9372 ref 109 ref 9634 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 9632 remove cons 60 ref 9630 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9629 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 26 ref 29 ref 35 ref 5938 ref 9627 remove appTerm appTerm appTerm 35 ref 5938 ref 9628 remove appTerm appTerm appTerm appTerm 35 ref 5938 ref 3084 ref appTerm appTerm appTerm 9636 def nil cons 9637 def cons 9622 remove cons nil cons cons 132 ref subst proveHyp 111 ref 50 ref 51 ref 165 ref nil 879 ref 9554 ref nil cons cons 9638 def 3202 ref 912 ref cons 9639 def cons nil cons cons 4281 ref subst appThm appThm 165 ref nil 4282 ref 9610 remove cons nil cons cons 4281 ref subst 52 ref 9612 remove appThm trans appThm nil 5643 ref 4284 remove cons nil cons cons 4281 ref subst 52 remove 5649 remove 4281 ref subst appThm 9640 def trans trans appThm appThm 165 remove nil 9639 remove nil cons cons 4293 ref subst appThm appThm appThm 50 ref 51 ref nil 9586 remove 9607 ref cons nil cons cons 6085 ref subst 9608 ref nil 9638 remove 912 ref cons nil cons cons 4281 ref subst appThm nil 879 ref 5938 remove 9554 remove appTerm 9641 def nil cons cons 5593 ref cons nil cons cons 4281 ref subst trans trans appThm nil 5643 remove nil cons nil cons cons 6085 ref subst 9640 remove trans appThm appThm nil 4268 ref 9607 remove cons nil cons cons 6085 ref subst 9608 remove nil 912 ref nil cons cons 9642 def 4293 ref subst appThm nil 4796 ref 5593 remove cons 9643 def nil cons cons 4281 ref subst trans trans appThm appThm nil 198 ref 26 ref 29 ref 35 ref 9512 remove 9641 remove appTerm appTerm appTerm 32 ref 32 ref 35 ref 733 ref appTerm appTerm appTerm appTerm appTerm 35 ref 9516 ref appTerm appTerm nil cons cons nil cons nil cons cons 635 ref subst trans sym 100 ref eqMp nil 59 ref 63 ref 9636 ref appTerm 9620 ref appTerm nil cons cons 60 ref 64 ref 9636 remove appTerm 9620 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 1642 ref 9621 remove cons 1648 ref 9637 remove cons nil cons cons nil cons cons 9619 ref subst eqMp eqMp eqMp nil 59 ref 70 ref 9605 remove appTerm 9620 remove appTerm nil cons cons 60 ref 9594 remove 38 ref 29 ref 9595 remove appTerm 9597 remove appTerm appTerm 9601 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil "s" 3 ref var 9644 def 9600 remove nil cons cons "r" 3 ref var 9645 def 9599 remove nil cons cons 876 ref 9598 remove cons 9596 remove 879 ref 9593 remove nil cons cons 23 ref 9591 remove nil cons cons nil cons cons cons cons cons cons nil cons cons 9644 ref 64 ref 70 ref 5718 remove 9645 ref varTerm 9646 def appTerm appTerm 26 ref 29 ref 883 ref appTerm 886 ref appTerm appTerm 9644 remove varTerm 9647 def appTerm appTerm appTerm 922 ref 38 ref 3248 remove appTerm 38 ref 9646 ref appTerm 9647 ref appTerm appTerm appTerm appTerm absTerm 9648 def 9647 ref appTerm 9649 def betaConv 9645 ref 22 ref 9648 ref appTerm 9650 def absTerm 9651 def 9646 ref appTerm 9652 def betaConv 876 ref 22 ref 9651 ref appTerm 9653 def absTerm 9654 def 886 ref appTerm 9655 def betaConv 7 ref 22 ref 9654 ref appTerm 9656 def absTerm 9657 def 34 ref appTerm 9658 def betaConv 879 ref 22 ref 9657 ref appTerm 9659 def absTerm 9660 def 883 ref appTerm 9661 def betaConv 23 ref 22 ref 9660 ref appTerm 9662 def absTerm 9663 def 31 ref appTerm 9664 def betaConv nil 22 ref 23 ref 22 ref 7 ref 22 ref 879 ref 9656 ref absTerm 9665 def appTerm 9666 def absTerm 9667 def appTerm 9668 def absTerm 9669 def appTerm 9670 def axiom nil 59 ref 9670 remove nil cons 9671 def cons 9672 def 60 ref 22 ref 9663 ref appTerm nil cons 9673 def cons nil cons cons nil cons cons 9674 def 132 ref subst proveHyp 9674 ref 81 ref subst 9674 remove 152 ref subst nil 135 ref 9663 remove nil cons cons 9675 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9662 remove nil cons 9676 def cons nil cons nil cons cons 101 ref subst nil 135 ref 9660 remove nil cons cons 9677 def nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 9659 remove nil cons 9678 def cons nil cons nil cons cons 101 ref subst nil 135 ref 9657 remove nil cons cons 9679 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9656 remove nil cons 9680 def cons nil cons nil cons cons 101 ref subst 9665 ref 883 ref appTerm 9681 def betaConv 9667 ref 34 ref appTerm 9682 def betaConv 9669 ref 31 ref appTerm 9683 def betaConv nil 9672 remove 60 ref 9683 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9669 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9668 remove nil cons cons 60 ref 9682 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9667 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9666 remove nil cons cons 60 ref 9681 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9665 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 107 ref 9671 remove cons 109 ref 9673 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 9673 remove cons 60 ref 9664 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9675 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9676 remove cons 60 ref 9661 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9677 remove 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9678 remove cons 60 ref 9658 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9679 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9680 remove cons 60 ref 9655 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9654 remove nil cons cons 904 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9653 remove nil cons cons 60 ref 9652 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9651 remove nil cons cons 136 ref 9646 ref nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9650 remove nil cons cons 60 ref 9649 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9648 remove nil cons cons 136 ref 9647 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 9577 remove cons 109 ref 9579 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 9567 ref nil cons cons 9684 def 9078 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 9574 remove cons 109 ref 9569 ref cons nil cons 9685 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9572 remove cons 9685 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9524 remove 1065 ref appTerm appTerm 9568 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9525 remove appTerm 9568 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9543 remove 9685 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 9569 remove cons 60 ref 20 ref 21 ref 20 ref 8870 ref 22 ref 23 ref 22 ref 7 ref 9551 ref 9558 ref 37 remove 5650 ref 40 ref appTerm 9686 def appTerm 9687 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9688 def appTerm 9689 def nil cons 9690 def cons nil cons 9691 def cons nil cons cons 132 ref subst proveHyp nil 135 ref "N1" 3 ref var 9692 def 64 ref 9567 ref 9692 ref varTerm 9693 def appTerm 9694 def appTerm 9689 ref appTerm 9695 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 9692 ref nil 94 ref 9695 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9694 ref nil cons 9696 def cons 9691 ref cons nil cons cons 9697 def 81 ref subst 9697 remove 152 ref subst 9694 ref betaConv 9694 remove assume eqMp nil 59 ref 22 ref 23 ref 22 ref 7 ref 64 ref 70 ref 26 ref 9693 ref appTerm 9698 def 31 ref appTerm 9699 def appTerm 9698 ref 34 ref appTerm 9700 def appTerm 9701 def appTerm 9702 def 9562 remove appTerm absTerm 9703 def appTerm 9704 def absTerm 9705 def appTerm nil cons 9706 def cons 9707 def 9691 ref cons nil cons cons 9708 def 132 ref subst proveHyp 9708 ref 81 ref subst 9708 remove 152 ref subst 3124 remove nil 3125 remove 9691 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 837 ref 3134 remove 9689 ref appTerm 9709 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 9709 remove nil cons cons nil cons nil cons cons 101 ref subst nil 3137 remove 9691 ref cons nil cons cons 9710 def 81 ref subst 9710 remove 152 ref subst 3139 remove nil 3148 remove 9691 ref cons nil cons cons 9711 def 132 ref subst proveHyp 9711 ref 81 ref subst 9711 remove 152 ref subst 6007 remove nil 9395 remove 60 ref 20 ref 21 ref 20 ref 8870 ref 22 ref 7 ref 9095 ref 5954 ref 5261 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9712 def appTerm 9713 def nil cons 9714 def cons nil cons 9715 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 6109 ref 64 ref 5955 ref 6110 remove appTerm 9716 def appTerm 9713 ref appTerm 9717 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6109 ref nil 94 ref 9717 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9716 ref nil cons 9718 def cons 9715 ref cons nil cons cons 9719 def 81 ref subst 9719 remove 152 ref subst 9716 ref betaConv 9716 remove assume eqMp nil 59 ref 20 ref 21 ref 22 ref 7 ref 5954 ref 6118 remove appTerm absTerm appTerm absTerm 9720 def appTerm 9721 def nil cons cons 9715 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 6145 ref 64 ref 9720 ref 6146 ref appTerm 9722 def appTerm 9713 ref appTerm 9723 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6145 ref nil 94 ref 9723 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9722 ref nil cons 9724 def cons 9715 ref cons nil cons cons 9725 def 81 ref subst 9725 remove 152 ref subst 9722 ref betaConv 9722 remove assume eqMp nil 59 ref 22 ref 7 ref 5954 ref 6117 remove 6146 ref appTerm 9726 def appTerm 9727 def absTerm 9728 def appTerm nil cons 9729 def cons 9730 def 9715 remove cons nil cons cons 9731 def 132 ref subst proveHyp 9731 ref 81 ref subst 9731 remove 152 ref subst 9712 ref 6182 ref appTerm betaConv sym 8870 ref 22 ref 7 ref 9095 ref 5954 ref 6184 ref appTerm 9732 def appTerm absTerm appTerm absTerm 9733 def 4704 ref appTerm betaConv sym nil 135 ref 7 ref 64 ref 26 ref 4704 ref appTerm 9734 def 34 ref appTerm 9735 def appTerm 9732 ref appTerm 9736 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9736 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9735 ref nil cons 9737 def cons 60 ref 9732 remove nil cons 9738 def cons nil cons 9739 def cons nil cons cons 9740 def 81 ref subst 9740 remove 152 ref subst 864 ref 70 ref 5954 ref 865 ref appTerm appTerm 4717 ref 6184 ref appTerm appTerm absTerm 9741 def 9726 ref appTerm betaConv sym 652 ref nil 94 ref 9727 remove nil cons cons nil cons nil cons cons 101 ref subst 9728 ref 34 ref appTerm 9742 def betaConv nil 9730 remove 60 ref 9742 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9728 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm 26 ref 9726 ref appTerm 9743 def 6184 ref appTerm 9744 def refl appThm nil 94 ref 9744 remove nil cons cons nil cons nil cons cons 874 ref subst trans sym 9743 remove refl 6195 remove appThm nil 879 ref 6197 remove cons 6192 ref 23 ref 6198 remove cons nil cons cons cons nil cons cons 6065 ref subst trans sym 50 ref nil 23 ref 6191 remove cons nil cons 9745 def nil cons cons 23 ref 4756 ref 5510 remove appTerm 9746 def absTerm 9747 def 31 ref appTerm 9748 def betaConv 49 ref 23 ref 9746 remove assume sym 5511 remove assume sym deductAntisym absThm appThm 5515 remove eqMp nil 59 ref 22 ref 9747 ref appTerm nil cons cons 60 ref 9748 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9747 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp subst appThm 9749 def 6152 remove refl appThm sym nil 4268 ref 5231 ref 9745 remove cons 9750 def cons nil cons cons 5820 ref subst 1337 ref 55 ref 6146 ref appTerm 8 ref appTerm 9751 def appTerm refl nil 94 ref 9737 ref cons nil cons nil cons cons 101 ref subst 9735 ref assume eqMp appThm nil 94 ref 9751 remove nil cons 9752 def cons nil cons nil cons cons 1887 ref subst trans trans sym 100 ref eqMp eqMp eqMp eqMp eqMp 134 ref 135 ref 9741 ref nil cons cons 136 ref 9726 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 9741 remove appTerm nil cons cons 9739 remove cons nil cons cons 132 ref subst proveHyp nil 879 ref 6184 remove nil cons cons 912 ref cons nil cons cons 5363 ref subst eqMp eqMp nil 107 ref 9737 ref cons 109 ref 9738 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 9733 remove nil cons cons 5976 ref cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 9712 ref nil cons cons 9753 def 6221 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 9729 remove cons 109 ref 9714 ref cons nil cons 9754 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9724 remove cons 9754 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9720 ref 1065 ref appTerm appTerm 9713 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9721 remove appTerm 9713 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9720 remove nil cons cons 9754 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9718 remove cons 9754 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 5955 remove 1065 ref appTerm appTerm 9755 def 9713 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 5956 remove appTerm 9756 def 9713 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 6005 ref 9754 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 9714 remove cons 9691 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 849 ref 64 ref 9712 ref 850 ref appTerm 9757 def appTerm 9689 ref appTerm 9758 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 9758 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9757 ref nil cons 9759 def cons 9691 ref cons nil cons cons 9760 def 81 ref subst 9760 remove 152 ref subst 9757 ref betaConv 9757 remove assume eqMp nil 59 ref 20 ref 8870 ref 22 ref 7 ref 9095 ref 5954 ref 3166 ref 34 ref appTerm 9761 def appTerm 9762 def appTerm absTerm appTerm absTerm 9763 def appTerm 9764 def nil cons cons 9691 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref "N2" 3 ref var 9765 def 64 ref 9763 ref 9765 ref varTerm 9766 def appTerm 9767 def appTerm 9689 ref appTerm 9768 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 9765 ref nil 94 ref 9768 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9767 ref nil cons 9769 def cons 9691 ref cons nil cons cons 9770 def 81 ref subst 9770 remove 152 ref subst 9767 ref betaConv 9767 remove assume eqMp nil 59 ref 22 ref 7 ref 64 ref 26 ref 9766 ref appTerm 9771 def 34 ref appTerm 9772 def appTerm 9773 def 9762 ref appTerm absTerm 9774 def appTerm nil cons 9775 def cons 9776 def 9691 remove cons nil cons cons 9777 def 132 ref subst proveHyp 9777 ref 81 ref subst 9777 remove 152 ref subst 9688 ref 860 remove 3166 ref 850 ref appTerm 9778 def appTerm 9779 def appTerm betaConv sym 8870 ref 22 ref 23 ref 22 ref 7 ref 9551 ref 9558 ref 30 ref 9779 ref appTerm 9686 ref appTerm 9780 def appTerm 9781 def appTerm absTerm appTerm absTerm appTerm absTerm 9782 def 38 ref 9693 ref appTerm 9766 ref appTerm 9783 def appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 64 ref 70 ref 26 ref 9783 ref appTerm 9784 def 31 ref appTerm 9785 def appTerm 9784 remove 34 ref appTerm 9786 def appTerm 9787 def appTerm 9788 def 9781 ref appTerm 9789 def absTerm 9790 def appTerm 9791 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9791 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 9790 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9789 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9787 remove nil cons 9792 def cons 9793 def 60 ref 9781 remove nil cons 9794 def cons nil cons 9795 def cons nil cons cons 9796 def 81 ref subst 9796 remove 152 ref subst nil 107 ref 9785 ref nil cons 9797 def cons 109 ref 9786 ref nil cons 9798 def cons nil cons cons nil cons cons 9799 def 123 ref subst 9800 def 9799 remove 687 ref subst 9801 def 864 ref 70 ref 9558 ref 865 ref appTerm appTerm 4717 ref 9780 ref appTerm appTerm absTerm 9802 def 9561 ref appTerm betaConv sym 7 ref 70 ref 9700 ref appTerm 5542 ref appTerm absTerm 9803 def 9783 ref appTerm betaConv sym 652 ref nil 7 ref 9766 ref nil cons 9804 def cons 9805 def 23 ref 9693 ref nil cons cons 9806 def nil cons 9807 def cons nil cons cons 4732 ref subst appThm 9808 def nil 94 ref 9797 remove cons nil cons nil cons cons 101 ref subst 9785 remove assume eqMp 9809 def appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 9803 ref nil cons cons 136 ref 9783 ref nil cons cons nil cons 9810 def cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 9803 remove appTerm nil cons cons 60 ref 9699 remove nil cons 9811 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4282 ref 9807 ref cons nil cons cons 5363 ref subst eqMp nil 59 ref 9811 remove cons 60 ref 9700 remove nil cons cons nil cons 9812 def cons nil cons cons 152 ref subst proveHyp 864 ref 70 ref 9698 remove 865 ref appTerm appTerm 4717 ref 34 ref appTerm 9813 def appTerm absTerm 9814 def 9783 ref appTerm betaConv sym 9808 remove nil 94 ref 9798 remove cons nil cons nil cons cons 101 ref subst 9786 remove assume eqMp 9815 def appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 9814 ref nil cons cons 9810 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 9814 remove appTerm nil cons cons 9812 remove cons nil cons cons 132 ref subst proveHyp nil 4268 ref 9807 remove cons nil cons cons 5363 ref subst eqMp eqMp 9816 def nil 59 ref 9701 remove nil cons cons 9817 def 9580 remove cons nil cons cons 132 ref subst proveHyp 9703 ref 34 ref appTerm 9818 def betaConv 9705 ref 31 ref appTerm 9819 def betaConv nil 9707 remove 60 ref 9819 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9705 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9704 remove nil cons cons 60 ref 9818 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9703 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp nil 59 ref 9579 remove cons 60 ref 26 ref 9561 ref appTerm 9820 def 9780 ref appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 9820 ref refl nil 879 ref 9686 ref nil cons 9821 def cons 7 ref 9778 ref nil cons 9822 def cons 3209 ref cons cons nil cons cons 3225 ref subst appThm sym 26 ref 9559 ref appTerm 9823 def refl 9824 def nil 7 ref 9821 remove cons 3209 remove cons nil cons cons 4293 ref subst appThm sym 9824 ref nil 881 ref 4922 remove 9590 ref cons cons nil cons cons 6085 ref subst appThm sym 9824 remove 5650 ref refl 8110 remove appThm appThm sym nil 3234 remove 7368 remove 9590 ref cons cons nil cons cons 5820 ref subst 1337 ref 4286 ref 8 ref appTerm 9825 def appTerm 9826 def refl 3228 remove appThm nil 94 ref 9825 ref nil cons 9827 def cons nil cons nil cons cons 1887 ref subst trans trans sym 100 ref eqMp eqMp eqMp eqMp nil 59 ref 9823 remove 3140 ref 9686 ref appTerm 9828 def appTerm 9829 def nil cons cons 60 ref 26 ref 9560 ref appTerm 9830 def 30 ref 9778 ref appTerm 9831 def 9686 ref appTerm 9832 def appTerm 9833 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 9830 remove refl nil 8071 ref 3205 ref cons 5547 ref 166 ref cons 5609 ref 137 ref cons 4664 ref 877 ref cons 9834 def 5689 ref 877 ref cons nil cons cons 9835 def cons cons cons nil cons cons 4802 ref nil 879 ref 30 ref 5615 ref 5548 ref appTerm 9836 def appTerm 8075 ref appTerm nil cons cons 6202 ref cons nil cons cons 6085 ref subst 5761 ref refl 9837 def 4670 ref refl 9838 def nil 879 ref 8085 remove cons 9839 def 5576 ref 5816 ref cons 9840 def cons nil cons cons 6085 ref subst appThm appThm trans appThm nil 9839 ref 7 ref 4670 ref 5548 remove appTerm 9841 def nil cons 9842 def cons 23 ref 5761 ref 5610 ref appTerm nil cons cons nil cons cons cons nil cons cons 6085 ref subst nil 879 ref 30 ref 9841 remove appTerm 8075 ref appTerm nil cons cons 6205 ref cons nil cons cons 6085 ref subst trans 9837 ref 5615 ref refl 9843 def nil 9839 ref 5576 remove 8081 remove cons cons nil cons cons 6085 ref subst appThm nil 879 ref 5746 ref 8075 ref appTerm 9844 def nil cons cons 5843 ref cons nil cons cons 4281 ref subst trans appThm trans appThm nil 136 ref 5761 ref 4670 ref 5615 ref 9844 ref appTerm appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans sym 100 ref eqMp subst appThm sym nil 7 ref 30 ref 3166 ref 31 ref appTerm 9845 def appTerm 9761 ref appTerm 9846 def nil cons cons 3206 ref 9589 remove cons cons nil cons cons 8998 ref subst sym 7 ref 70 ref 9772 ref appTerm 5542 ref appTerm absTerm 9847 def 9783 ref appTerm betaConv sym 652 ref nil 9806 remove 9805 remove nil cons cons nil cons cons 5397 ref subst appThm 9848 def 9809 remove appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 9847 ref nil cons cons 9810 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 9847 remove appTerm nil cons cons 60 ref 9771 ref 31 ref appTerm nil cons 9849 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4282 ref 23 ref 9804 remove cons nil cons 9850 def cons nil cons cons 5363 ref subst eqMp 9851 def nil 59 ref 9849 remove cons 9852 def 60 ref 26 ref 3084 ref appTerm 9845 ref appTerm 9853 def nil cons 9854 def cons nil cons cons nil cons cons 132 ref subst proveHyp 4919 ref 9774 ref 34 ref appTerm 9855 def betaConv nil 9776 remove 60 ref 9855 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9774 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 9856 def subst eqMp nil 59 ref 9854 remove cons 60 ref 9762 ref nil cons cons nil cons 9857 def cons nil cons cons 152 ref subst proveHyp 864 ref 70 ref 9771 remove 865 ref appTerm appTerm 9813 ref appTerm absTerm 9858 def 9783 ref appTerm betaConv sym 9848 remove 9815 remove appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 9858 ref nil cons cons 9810 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 9858 remove appTerm nil cons cons 60 ref 9772 remove nil cons 9859 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4268 ref 9850 remove cons nil cons cons 5363 ref subst eqMp 9860 def nil 59 ref 9859 remove cons 9861 def 9857 remove cons nil cons cons 132 ref subst proveHyp 9856 remove eqMp eqMp nil 59 ref 70 ref 9853 remove appTerm 9762 remove appTerm nil cons cons 60 ref 26 ref 9516 remove appTerm 9846 remove appTerm nil cons 9862 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 9761 remove nil cons cons 7 ref 9845 remove nil cons cons 9643 remove cons cons nil cons cons 876 ref 64 ref 1002 remove 26 ref 883 ref appTerm 9863 def 886 ref appTerm appTerm appTerm 8984 remove 35 ref 886 ref appTerm appTerm appTerm absTerm 9864 def 886 ref appTerm 9865 def betaConv 7 ref 22 ref 9864 ref appTerm 9866 def absTerm 9867 def 34 ref appTerm 9868 def betaConv 879 ref 22 ref 9867 ref appTerm 9869 def absTerm 9870 def 883 ref appTerm 9871 def betaConv 23 ref 22 ref 9870 ref appTerm 9872 def absTerm 9873 def 31 ref appTerm 9874 def betaConv nil 22 ref 23 ref 22 ref 7 ref 22 ref 879 ref 9866 ref absTerm 9875 def appTerm 9876 def absTerm 9877 def appTerm 9878 def absTerm 9879 def appTerm 9880 def axiom nil 59 ref 9880 remove nil cons 9881 def cons 9882 def 60 ref 22 ref 9873 ref appTerm nil cons 9883 def cons nil cons cons nil cons cons 9884 def 132 ref subst proveHyp 9884 ref 81 ref subst 9884 remove 152 ref subst nil 135 ref 9873 remove nil cons cons 9885 def nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9872 remove nil cons 9886 def cons nil cons nil cons cons 101 ref subst nil 135 ref 9870 remove nil cons cons 9887 def nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 9869 remove nil cons 9888 def cons nil cons nil cons cons 101 ref subst nil 135 ref 9867 remove nil cons cons 9889 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9866 remove nil cons 9890 def cons nil cons nil cons cons 101 ref subst 9875 ref 883 ref appTerm 9891 def betaConv 9877 ref 34 ref appTerm 9892 def betaConv 9879 ref 31 ref appTerm 9893 def betaConv nil 9882 remove 60 ref 9893 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9879 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9878 remove nil cons cons 60 ref 9892 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9877 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9876 remove nil cons cons 60 ref 9891 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9875 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 107 ref 9881 remove cons 109 ref 9883 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 9883 remove cons 60 ref 9874 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9885 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9886 remove cons 60 ref 9871 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9887 remove 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9888 remove cons 60 ref 9868 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9889 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9890 remove cons 60 ref 9865 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9864 remove nil cons cons 904 ref cons nil cons cons 163 ref subst eqMp eqMp 9894 def subst eqMp nil 107 ref 9862 remove cons 109 ref 4734 remove cons nil cons cons nil cons cons 9026 ref subst proveHyp eqMp eqMp eqMp nil 59 ref 70 ref 9829 remove appTerm 9833 remove appTerm nil cons cons 60 ref 9820 remove 38 ref 9828 ref appTerm 9832 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 9832 remove nil cons cons 879 ref 9828 ref nil cons cons 9895 def 7 ref 9560 remove nil cons cons 23 ref 9559 remove nil cons cons nil cons cons cons cons nil cons cons 905 ref subst eqMp eqMp eqMp eqMp 134 ref 135 ref 9802 ref nil cons cons 136 ref 9561 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 9802 remove appTerm nil cons cons 9795 remove cons nil cons cons 132 ref subst proveHyp nil 879 ref 9780 remove nil cons cons 23 ref 9557 ref nil cons 9896 def cons nil cons cons nil cons cons 5363 ref subst eqMp proveHyp proveHyp eqMp nil 107 ref 9792 remove cons 9897 def 109 ref 9794 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 9782 remove nil cons cons 9810 ref cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 9688 ref nil cons cons 9898 def 136 ref 9779 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 9775 remove cons 109 ref 9690 ref cons nil cons 9899 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9769 remove cons 9899 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9763 ref 1065 ref appTerm appTerm 9689 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9764 remove appTerm 9689 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9763 remove nil cons cons 9899 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9759 remove cons 9899 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9712 remove 1065 ref appTerm appTerm 9689 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9713 remove appTerm 9689 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9753 remove 9899 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 3276 remove 9899 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 3277 remove 9899 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 3278 remove 9689 ref appTerm absTerm appTerm nil cons cons 60 ref 3279 remove 9689 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 3280 remove 9899 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9706 remove cons 9899 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9696 remove cons 9899 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9567 remove 1065 ref appTerm appTerm 9689 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9568 remove appTerm 9689 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9684 remove 9899 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 9690 remove cons 60 ref 20 ref 21 ref 20 ref 8870 ref 22 ref 23 ref 22 ref 7 ref 9551 ref 26 ref 5650 ref 9556 ref appTerm 9900 def appTerm 9901 def 9687 remove appTerm 9902 def appTerm absTerm 9903 def appTerm 9904 def absTerm 9905 def appTerm 9906 def absTerm 9907 def appTerm 9908 def absTerm 9909 def appTerm 9910 def nil cons 9911 def cons nil cons 9912 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 837 ref 64 ref 9688 ref 838 ref appTerm 9913 def appTerm 9910 ref appTerm 9914 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 ref nil 94 ref 9914 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9913 ref nil cons 9915 def cons 9912 ref cons nil cons cons 9916 def 81 ref subst 9916 remove 152 ref subst 9913 ref betaConv 9913 remove assume eqMp nil 59 ref 20 ref 8870 ref 22 ref 23 ref 22 ref 7 ref 9551 ref 9558 remove 9828 remove appTerm 9917 def appTerm absTerm appTerm absTerm appTerm absTerm 9918 def appTerm 9919 def nil cons cons 9912 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 9692 ref 64 ref 9918 ref 9693 remove appTerm 9920 def appTerm 9910 ref appTerm 9921 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 9692 remove nil 94 ref 9921 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9920 ref nil cons 9922 def cons 9912 ref cons nil cons cons 9923 def 81 ref subst 9923 remove 152 ref subst 9920 ref betaConv 9920 remove assume eqMp nil 59 ref 22 ref 23 ref 22 ref 7 ref 9702 remove 9917 ref appTerm absTerm 9924 def appTerm 9925 def absTerm 9926 def appTerm nil cons 9927 def cons 9928 def 9912 ref cons nil cons cons 9929 def 132 ref subst proveHyp 9929 ref 81 ref subst 9929 remove 152 ref subst 9178 remove nil 9179 remove 60 ref 20 ref 5935 ref 20 ref 8870 ref 22 ref 7 ref 9095 ref 885 ref 5943 ref 733 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9930 def appTerm 9931 def nil cons 9932 def cons nil cons 9933 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 8870 ref 9195 remove 9931 ref appTerm 9934 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 9934 remove nil cons cons nil cons nil cons cons 101 ref subst nil 9198 remove 9933 ref cons nil cons cons 9935 def 81 ref subst 9935 remove 152 ref subst 9200 remove nil 9202 remove 9933 ref cons nil cons cons 9936 def 132 ref subst proveHyp 9936 ref 81 ref subst 9936 remove 152 ref subst 9091 ref nil 9092 ref 9933 ref cons nil cons cons 9937 def 132 ref subst proveHyp 9937 ref 81 ref subst 9937 remove 152 ref subst 9106 remove nil 9107 remove 9933 ref cons nil cons cons 132 ref subst proveHyp 9108 remove 9931 ref refl appThm sym nil 135 ref 6109 ref 9111 remove 9931 ref appTerm 9938 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6109 remove nil 94 ref 9938 remove nil cons cons nil cons nil cons cons 101 ref subst nil 9114 remove 9933 ref cons nil cons cons 9939 def 81 ref subst 9939 remove 152 ref subst 9116 remove nil 9121 remove 9933 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 6145 ref 9123 remove 9931 ref appTerm 9940 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 6145 remove nil 94 ref 9940 remove nil cons cons nil cons nil cons cons 101 ref subst nil 9126 remove 9933 ref cons nil cons cons 9941 def 81 ref subst 9941 remove 152 ref subst 9128 remove nil 9133 ref 9933 remove cons nil cons cons 9942 def 132 ref subst proveHyp 9942 ref 81 ref subst 9942 remove 152 ref subst 9930 ref 6182 remove appTerm betaConv sym 8870 ref 22 ref 7 ref 9095 ref 885 ref 6183 remove 733 ref appTerm 9943 def appTerm 9944 def appTerm 9945 def absTerm 9946 def appTerm absTerm 9947 def 8871 ref appTerm betaConv sym nil 135 ref 9946 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9945 remove nil cons cons nil cons nil cons cons 101 ref subst nil 9208 ref 60 ref 9944 remove nil cons 9948 def cons nil cons 9949 def cons nil cons cons 9950 def 81 ref subst 9950 remove 152 ref subst 864 ref 70 ref 9425 ref appTerm 4717 ref 9943 ref appTerm appTerm absTerm 9951 def 9129 ref appTerm betaConv sym 652 ref nil 94 ref 9130 remove nil cons cons nil cons nil cons cons 101 ref subst 9147 remove nil 9133 remove 60 ref 9146 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9148 remove cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm 26 ref 9129 remove appTerm refl nil 4796 ref 6194 remove cons nil cons cons 3225 ref subst appThm nil 879 ref 6151 remove 733 ref appTerm 9952 def nil cons cons 6192 remove 23 ref 9117 remove nil cons cons nil cons cons cons nil cons cons 6065 ref subst trans appThm nil 94 ref 26 ref 6146 remove appTerm 9952 ref appTerm nil cons cons nil cons nil cons cons 874 ref subst trans sym 9749 remove 9952 remove refl appThm sym nil 4796 ref 9750 remove cons nil cons cons 5820 ref subst sym 50 ref 5224 remove appThm 4301 remove appThm sym nil 911 remove 7 ref 5225 remove cons nil cons cons nil cons cons 7 ref 63 ref 5542 ref appTerm 7934 remove appTerm 9953 def absTerm 9954 def 34 ref appTerm 9955 def betaConv 23 ref 22 ref 9954 ref appTerm 9956 def absTerm 9957 def 31 ref appTerm 9958 def betaConv 49 ref 23 ref 49 ref 7 ref 9953 remove assume sym 7935 remove assume sym deductAntisym absThm appThm absThm appThm 7942 remove eqMp nil 59 ref 22 ref 9957 ref appTerm nil cons cons 60 ref 9958 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9957 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9956 remove nil cons cons 60 ref 9955 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9954 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst 1443 ref nil 170 ref 912 remove cons nil cons cons 7 ref 63 ref 7932 ref 4837 ref appTerm appTerm 1337 ref 4901 ref appTerm 7933 remove appTerm appTerm absTerm 9959 def 34 ref appTerm 9960 def betaConv 23 ref 22 ref 9959 ref appTerm 9961 def absTerm 9962 def 31 ref appTerm 9963 def betaConv nil 22 ref 9962 ref appTerm 9964 def axiom nil 59 ref 9964 remove nil cons cons 60 ref 9963 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9962 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9961 remove nil cons cons 60 ref 9960 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9959 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst 1371 ref 9213 remove nil 9214 remove 60 ref 63 ref 9096 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 9144 remove 1855 ref subst eqMp appThm 9642 remove 23 ref 1237 ref 7932 remove 8 ref appTerm 9965 def appTerm 9966 def absTerm 9967 def 31 ref appTerm 9968 def betaConv nil 22 ref 9967 ref appTerm 9969 def axiom nil 59 ref 9969 remove nil cons cons 60 ref 9968 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9967 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9966 remove nil cons cons 60 ref 63 ref 9965 ref appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 107 ref 9965 remove nil cons cons nil cons nil cons cons 1855 ref subst eqMp subst appThm 1788 remove 1369 ref subst trans trans appThm 1372 ref trans trans sym 100 ref eqMp eqMp nil 107 ref 9752 remove cons 109 ref 9734 ref 733 ref appTerm nil cons cons nil cons cons nil cons cons 9542 ref subst proveHyp eqMp eqMp eqMp eqMp 134 ref 135 ref 9951 ref nil cons cons 136 ref 9149 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 9951 remove appTerm nil cons cons 9949 remove cons nil cons cons 132 ref subst proveHyp nil 879 ref 9943 remove nil cons cons 167 ref cons nil cons cons 5363 ref subst eqMp eqMp nil 9372 ref 109 ref 9948 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 9947 remove nil cons cons 9078 ref cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 9930 ref nil cons cons 9970 def 6221 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 9167 remove 109 ref 9932 ref cons nil cons 9971 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 9169 remove 9971 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 9170 remove 9931 ref appTerm absTerm appTerm nil cons cons 60 ref 9171 remove 9931 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9172 remove 9971 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 9173 remove 9971 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 9174 remove 9931 ref appTerm absTerm appTerm nil cons cons 60 ref 9175 remove 9931 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9176 remove 9971 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 9177 ref 9971 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 9374 remove 9971 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 9376 remove 9971 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 9377 remove 9931 ref appTerm absTerm appTerm nil cons cons 60 ref 9378 remove 9931 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9166 remove 9971 remove cons nil cons cons 1090 ref subst eqMp eqMp 9972 def nil 59 ref 9932 remove cons 9973 def 9912 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 849 ref 64 ref 9930 ref 850 ref appTerm 9974 def appTerm 9910 ref appTerm 9975 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 ref nil 94 ref 9975 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9974 ref nil cons 9976 def cons 9912 ref cons nil cons cons 9977 def 81 ref subst 9977 remove 152 ref subst 9974 ref betaConv 9974 remove assume eqMp nil 59 ref 20 ref 8870 ref 22 ref 7 ref 9095 ref 885 ref 3166 ref 733 ref appTerm 9978 def appTerm 9979 def appTerm absTerm appTerm absTerm 9980 def appTerm 9981 def nil cons cons 9912 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 9765 ref 64 ref 9980 ref 9766 remove appTerm 9982 def appTerm 9910 ref appTerm 9983 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 9765 remove nil 94 ref 9983 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9982 ref nil cons 9984 def cons 9912 ref cons nil cons cons 9985 def 81 ref subst 9985 remove 152 ref subst 9982 ref betaConv 9982 remove assume eqMp nil 59 ref 22 ref 7 ref 9773 remove 9979 ref appTerm absTerm 9986 def appTerm nil cons 9987 def cons 9988 def 9912 remove cons nil cons cons 9989 def 132 ref subst proveHyp 9989 ref 81 ref subst 9989 remove 152 ref subst 9909 ref 3140 remove 9778 ref appTerm 9990 def appTerm betaConv sym 8870 ref 22 ref 23 ref 22 ref 7 ref 9551 ref 9901 ref 30 ref 9990 ref appTerm 9686 remove appTerm 9991 def appTerm 9992 def appTerm absTerm appTerm absTerm appTerm absTerm 9993 def 9783 remove appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 9788 remove 9992 ref appTerm 9994 def absTerm 9995 def appTerm 9996 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 9996 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 9995 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 9994 remove nil cons cons nil cons nil cons cons 101 ref subst nil 9793 remove 60 ref 9992 remove nil cons 9997 def cons nil cons 9998 def cons nil cons cons 9999 def 81 ref subst 9999 remove 152 ref subst 9800 remove 9801 remove 864 ref 70 ref 9901 ref 865 ref appTerm appTerm 4717 ref 9991 ref appTerm appTerm absTerm 10000 def 9831 ref 9557 remove appTerm 10001 def appTerm betaConv sym 9901 ref refl 10002 def nil 879 ref 9556 ref nil cons 10003 def cons 10004 def 7 ref 9588 remove cons 23 ref 9822 remove cons nil cons 10005 def cons cons nil cons cons 5662 ref subst 4803 ref nil 4796 remove 3202 remove 10005 ref cons cons nil cons cons 5662 ref subst appThm 9556 ref refl appThm trans appThm nil 7 ref 30 ref 9831 remove 3084 ref appTerm appTerm 733 ref appTerm 10006 def nil cons cons 10004 remove 9590 ref cons cons nil cons cons 8998 remove subst trans sym 4760 ref refl nil 5547 ref 734 remove cons 5609 ref 3201 remove cons 9835 remove cons cons nil cons cons 4802 ref nil 5682 remove 6204 remove 23 ref 5761 ref 4665 ref appTerm nil cons cons nil cons cons cons nil cons cons 6085 ref subst nil 879 ref 9836 ref nil cons cons 6202 remove cons nil cons cons 6085 ref subst trans appThm nil 879 ref 9842 remove cons 6205 remove cons nil cons cons 6085 ref subst 9837 ref 6208 remove 4281 ref subst appThm trans appThm nil 136 ref 5761 ref 4670 ref 9836 remove appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans sym 100 ref eqMp subst appThm sym 9851 remove nil 9852 remove 60 ref 882 ref 3166 remove 3084 remove appTerm 10007 def appTerm 10008 def nil cons 10009 def cons nil cons cons nil cons cons 132 ref subst proveHyp 4919 ref 9986 ref 34 ref appTerm 10010 def betaConv nil 9988 remove 60 ref 10010 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9986 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 10011 def subst eqMp nil 59 ref 10009 remove cons 60 ref 9979 ref nil cons cons nil cons 10012 def cons nil cons cons 152 ref subst proveHyp 9860 remove nil 9861 remove 10012 remove cons nil cons cons 132 ref subst proveHyp 10011 remove eqMp eqMp nil 59 ref 70 ref 10008 remove appTerm 9979 remove appTerm nil cons cons 60 ref 4760 ref 30 ref 10007 ref appTerm 9978 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 9978 remove nil cons cons 7 ref 10007 remove nil cons cons 4268 ref nil cons 10013 def cons cons nil cons cons 9894 ref subst eqMp eqMp nil 107 ref 4760 remove 10006 remove appTerm nil cons cons 109 ref 55 ref 9556 ref appTerm 8 ref appTerm nil cons cons nil cons cons nil cons cons 9026 remove subst proveHyp eqMp nil 59 ref 9901 remove 10001 ref appTerm nil cons cons 60 ref 26 ref 10001 ref appTerm 10014 def 9991 ref appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 10014 remove refl nil 8069 remove 3205 ref cons 8071 ref 166 ref cons 5547 ref 137 ref cons 5609 ref 877 remove cons 9834 remove 5689 ref 880 remove cons nil cons cons cons cons cons cons nil cons cons 4802 ref nil 879 ref 30 ref 9844 remove appTerm 8076 ref appTerm 10015 def nil cons cons 10016 def 7 ref 4670 ref 5610 ref appTerm 10017 def nil cons cons 6201 ref cons cons nil cons cons 6085 ref subst 9837 ref nil 10016 ref 8082 ref cons nil cons cons 6085 ref subst 9838 ref 9843 remove nil 8090 remove 8086 remove 5856 remove cons cons nil cons cons 6085 ref subst appThm 10018 def appThm trans appThm trans appThm nil 879 ref 5761 ref 10015 remove appTerm nil cons cons 8082 ref cons nil cons cons 6085 ref subst 9838 remove nil 10016 remove 8088 remove 5816 remove cons 10019 def cons nil cons cons 4281 ref subst 9837 ref 10018 remove appThm trans appThm nil 879 ref 5615 remove 5746 remove 30 ref 8075 ref appTerm 8076 remove appTerm appTerm appTerm 10020 def nil cons cons 8093 ref cons nil cons cons 4281 ref subst trans trans appThm nil 136 ref 5761 ref 4670 ref 10020 remove appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans sym 100 ref eqMp subst appThm sym nil 9895 remove 7 ref 9896 remove cons 10005 remove cons cons nil cons cons 5820 ref subst sym 9816 remove nil 9817 remove 60 ref 9917 remove nil cons 10021 def cons nil cons cons nil cons cons 132 ref subst proveHyp 9924 ref 34 ref appTerm 10022 def betaConv 9926 ref 31 ref appTerm 10023 def betaConv nil 9928 remove 60 ref 10023 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9926 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9925 remove nil cons cons 60 ref 10022 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9924 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp nil 107 ref 55 ref 9778 remove appTerm 8 ref appTerm nil cons cons 109 ref 10021 remove cons nil cons cons nil cons cons 9542 ref subst proveHyp eqMp eqMp eqMp eqMp 134 ref 135 ref 10000 ref nil cons cons 136 ref 10001 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10000 remove appTerm nil cons cons 9998 remove cons nil cons cons 132 ref subst proveHyp nil 879 ref 9991 remove nil cons cons 23 ref 9900 remove nil cons cons nil cons cons nil cons cons 5363 ref subst eqMp proveHyp proveHyp eqMp nil 9897 remove 109 ref 9997 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 9993 remove nil cons cons 9810 remove cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 9909 ref nil cons cons 10024 def 136 ref 9990 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 9987 remove cons 109 ref 9911 ref cons nil cons 10025 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9984 remove cons 10025 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9980 ref 1065 ref appTerm appTerm 9910 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9981 remove appTerm 9910 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9980 remove nil cons cons 10025 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9976 remove cons 10025 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9930 ref 1065 ref appTerm appTerm 10026 def 9910 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9931 remove appTerm 10027 def 9910 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9970 ref 10025 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9927 remove cons 10025 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9922 remove cons 10025 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9918 ref 1065 ref appTerm appTerm 9910 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9919 remove appTerm 9910 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9918 remove nil cons cons 10025 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9915 remove cons 10025 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9688 remove 1065 ref appTerm appTerm 9910 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9689 remove appTerm 9910 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9898 remove 10025 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 9911 remove cons 60 ref 20 ref 21 ref 20 ref 8870 ref 22 ref 23 ref 22 ref 7 ref 9551 ref 26 ref 9556 ref appTerm 10028 def 41 ref appTerm 10029 def appTerm absTerm appTerm absTerm appTerm absTerm 10030 def appTerm absTerm 10031 def appTerm 10032 def nil cons 10033 def cons nil cons 10034 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 64 ref 9909 ref 36 ref appTerm 10035 def appTerm 10032 ref appTerm 10036 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 10036 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10035 ref nil cons 10037 def cons 10034 ref cons nil cons cons 10038 def 81 ref subst 10038 remove 152 ref subst 10035 ref betaConv 10035 remove assume eqMp nil 59 ref 9908 ref nil cons cons 10034 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 8870 ref 64 ref 9907 ref 8871 ref appTerm 10039 def appTerm 10032 ref appTerm 10040 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 10040 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10039 ref nil cons 10041 def cons 10034 ref cons nil cons cons 10042 def 81 ref subst 10042 remove 152 ref subst 10039 ref betaConv 10039 remove assume eqMp nil 59 ref 9906 remove nil cons 10043 def cons 10044 def 10034 remove cons nil cons cons 10045 def 132 ref subst proveHyp 10045 ref 81 ref subst 10045 remove 152 ref subst 10031 ref 36 ref appTerm betaConv sym 10030 ref 8961 remove 4704 ref appTerm 10046 def appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 64 ref 70 ref 26 ref 10046 ref appTerm 10047 def 31 ref appTerm 10048 def appTerm 10047 remove 34 ref appTerm 10049 def appTerm 10050 def appTerm 10029 ref appTerm 10051 def absTerm 10052 def appTerm 10053 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 10053 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 10052 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 10051 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10050 remove nil cons 10054 def cons 60 ref 10029 ref nil cons 10055 def cons nil cons 10056 def cons nil cons cons 10057 def 81 ref subst 10057 remove 152 ref subst nil 107 ref 10048 ref nil cons 10058 def cons 109 ref 10049 ref nil cons 10059 def cons nil cons cons nil cons cons 10060 def 123 ref subst 10060 remove 687 ref subst 7 ref 70 ref 9094 ref appTerm 5542 ref appTerm absTerm 10061 def 10046 ref appTerm betaConv sym 652 ref nil 5231 ref 8967 ref nil cons 10062 def cons nil cons cons 10063 def 4732 ref subst appThm 10064 def nil 94 ref 10058 remove cons nil cons nil cons cons 101 ref subst 10048 remove assume eqMp 10065 def appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 10061 ref nil cons cons 136 ref 10046 ref nil cons cons nil cons 10066 def cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10061 remove appTerm nil cons cons 60 ref 9582 ref cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4282 ref 10062 ref cons nil cons cons 5363 ref subst eqMp nil 9631 ref 60 ref 9207 ref cons nil cons 10067 def cons nil cons cons 152 ref subst proveHyp 864 ref 70 ref 9451 remove appTerm 9813 ref appTerm absTerm 10068 def 10046 ref appTerm betaConv sym 10064 remove nil 94 ref 10059 remove cons nil cons nil cons cons 101 ref subst 10049 remove assume eqMp 10069 def appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 10068 ref nil cons cons 10066 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10068 remove appTerm nil cons cons 10067 remove cons nil cons cons 132 ref subst proveHyp nil 4268 ref 10062 remove cons nil cons cons 5363 ref subst eqMp eqMp nil 9578 ref 60 ref 9902 remove nil cons 10070 def cons nil cons cons nil cons cons 132 ref subst 9903 ref 34 ref appTerm 10071 def betaConv 9905 ref 31 ref appTerm 10072 def betaConv nil 10044 remove 60 ref 10072 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9905 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9904 remove nil cons cons 60 ref 10071 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9903 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp nil 59 ref 10070 remove cons 10056 ref cons nil cons cons 132 ref subst proveHyp 651 ref 10002 remove nil 5609 ref 3205 ref cons 4664 ref 5672 ref cons 5689 ref 740 ref cons nil cons cons cons nil cons cons 55 ref 5761 ref 10017 remove appTerm 10073 def appTerm refl nil 879 ref 5815 ref cons 8093 ref cons nil cons cons 4281 remove subst appThm nil 136 ref 10073 remove nil cons cons nil cons nil cons cons 4833 ref subst trans sym 100 ref eqMp subst appThm appThm 10029 ref refl 10074 def appThm sym 651 ref nil 8978 ref 7 ref 10003 ref cons 9590 ref cons cons nil cons cons 5820 ref subst appThm 10074 remove appThm sym nil 59 ref 9826 remove 10029 ref appTerm nil cons 10075 def cons 10056 ref cons nil cons cons 10076 def 81 ref subst 10076 remove 152 ref subst nil 59 ref 10055 ref cons 10056 remove cons nil cons cons 10077 def 81 ref subst 10077 remove 152 ref subst 10029 ref assume eqMp nil 107 ref 10055 ref cons 109 ref 10055 ref cons 10078 def nil cons 10079 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1648 ref 9827 ref cons 1642 ref 10055 ref cons nil cons cons nil cons cons 7930 ref subst sym nil 59 ref 1237 ref 10029 ref appTerm nil cons 10080 def cons 60 ref 1237 ref 9825 remove appTerm nil cons 10081 def cons nil cons cons nil cons cons 10082 def 81 ref subst 10082 remove 152 ref subst 1443 ref nil 9590 ref nil cons cons 10083 def 23 ref 63 ref 4757 ref appTerm 882 ref 8 ref appTerm 10084 def appTerm 10085 def absTerm 10086 def 31 ref appTerm 10087 def betaConv 49 ref 23 ref 10085 remove assume sym 63 ref 10084 ref appTerm 4757 ref appTerm 10088 def assume sym deductAntisym absThm appThm nil 22 ref 23 ref 10088 remove absTerm 10089 def appTerm 10090 def axiom 10091 def eqMp nil 59 ref 22 ref 10086 ref appTerm nil cons cons 60 ref 10087 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10086 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp subst appThm sym nil 170 remove 9590 ref cons nil cons cons 7888 remove subst nil 5697 ref 4197 ref cons nil cons cons 9164 remove subst trans sym 50 ref 4802 ref 5229 remove appThm 4806 ref 7 ref 55 ref 30 ref 4807 remove appTerm 10092 def 4809 ref appTerm appTerm 4808 remove 5189 remove 4810 ref 4810 ref 3184 ref appTerm 10093 def appTerm 10094 def appTerm 10095 def appTerm appTerm absTerm 10096 def 34 ref appTerm 10097 def betaConv 23 ref 22 ref 10096 ref appTerm 10098 def absTerm 10099 def 31 ref appTerm 10100 def betaConv 652 ref 49 ref 23 ref 49 ref 7 ref 4286 ref refl 3184 ref refl 10101 def appThm absThm appThm absThm appThm appThm 652 ref 4802 ref 171 ref 4305 ref subst 10102 def appThm 4820 ref appThm appThm 652 ref 49 ref 7 ref 4802 ref 4823 remove 4305 ref subst appThm 4820 ref appThm absThm appThm appThm 652 ref 49 ref 7 ref 4802 ref 4891 remove 4305 ref subst appThm 4820 ref appThm absThm appThm appThm 652 ref 49 ref 7 ref 4802 ref 4910 remove 164 ref subst appThm 4820 ref appThm absThm appThm appThm 652 ref 49 ref 7 ref 4802 ref 4916 remove 164 ref subst appThm 4820 ref appThm absThm appThm appThm 652 ref 49 ref 23 ref 49 ref 7 ref 4802 ref 4803 ref 4920 remove appThm 10103 def 4889 ref appThm appThm nil 7 ref 10093 remove nil cons cons nil cons nil cons cons 4889 ref subst 3487 ref nil 5697 ref nil cons nil cons cons 10104 def 4889 ref subst 10105 def appThm 10105 remove appThm trans 10106 def appThm absThm appThm absThm appThm appThm 652 ref 49 ref 23 ref 49 ref 7 ref 4802 ref 10103 remove 4897 ref appThm 4926 ref 7 ref 55 ref 32 ref 4837 ref appTerm 10107 def appTerm 39 ref 3184 ref appTerm 10108 def appTerm 10109 def absTerm 10110 def 34 ref appTerm 10111 def betaConv 23 ref 22 ref 10110 ref appTerm 10112 def absTerm 10113 def 31 ref appTerm 10114 def betaConv nil 22 ref 10113 ref appTerm 10115 def axiom 10116 def nil 59 ref 10115 remove nil cons cons 60 ref 10114 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10113 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 10112 remove nil cons cons 60 ref 10111 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10110 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst 10117 def trans appThm 4921 remove 10106 ref appThm appThm absThm appThm absThm appThm appThm 652 ref 49 ref 23 ref 49 ref 7 ref 4802 ref 4803 ref 4933 remove appThm 10118 def 4889 ref appThm 4926 remove 7 ref 55 ref 30 ref 4854 remove appTerm 34 ref appTerm appTerm 3185 ref 34 ref appTerm appTerm absTerm 10119 def 34 ref appTerm 10120 def betaConv 23 ref 22 ref 10119 ref appTerm 10121 def absTerm 10122 def 31 ref appTerm 10123 def betaConv nil 22 ref 10122 ref appTerm 10124 def axiom nil 59 ref 10124 remove nil cons cons 60 ref 10123 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10122 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 10121 remove nil cons cons 60 ref 10120 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10119 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 10125 def subst trans appThm 3487 ref 4889 remove appThm 10106 remove appThm 10126 def appThm absThm appThm absThm appThm appThm 49 ref 23 ref 49 ref 7 ref 4802 ref 10118 remove 4897 remove appThm 4936 remove 10125 remove subst nil 4899 remove 23 ref 30 ref 4924 remove appTerm 10127 def 4872 remove appTerm nil cons cons nil cons cons nil cons cons 4870 remove subst 4851 remove 3487 ref 10117 remove appThm 4825 ref refl appThm appThm trans trans trans appThm 4934 remove 10126 remove appThm nil 7 ref 38 ref 4825 ref appTerm 38 ref 3185 ref 3184 ref appTerm 10128 def appTerm 10128 ref appTerm 10129 def appTerm 10130 def nil cons 10131 def cons 4925 ref cons nil cons cons 4861 remove subst trans appThm nil 7 ref 4930 ref 10130 remove appTerm nil cons cons 23 ref 38 ref 4930 remove 10127 remove 4825 ref appTerm 10132 def appTerm appTerm 4825 ref appTerm nil cons cons nil cons cons nil cons cons 4908 remove subst trans absThm appThm absThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm sym 652 ref 49 ref 23 ref 49 ref 7 ref nil 136 ref 5672 ref cons nil cons nil cons cons 4833 ref subst absThm appThm 203 ref trans absThm appThm 203 ref trans appThm 4938 remove 652 ref nil 94 ref 55 ref 8 ref appTerm 8 ref appTerm nil cons cons nil cons nil cons cons 202 remove subst 4834 ref trans appThm 10133 def 10133 ref 10133 ref 10133 remove 652 ref 49 ref 23 ref 49 ref 7 ref 4802 ref 4941 remove 3225 ref subst 3487 ref nil 10013 remove nil cons cons 3199 ref subst 10134 def appThm 10134 remove appThm nil 879 ref 10128 ref nil cons cons 5697 remove 9590 remove cons cons nil cons cons 5177 ref subst 10135 def trans trans 10136 def appThm 10135 ref appThm nil 136 ref 3185 ref 3185 remove 10128 remove appTerm appTerm 10137 def nil cons cons nil cons nil cons cons 4833 ref subst trans absThm appThm 203 ref trans absThm appThm 203 ref trans appThm 652 ref 49 ref 23 ref 49 ref 7 ref 4802 ref nil 879 ref 10132 ref nil cons 10138 def cons 4918 ref cons nil cons cons 5177 ref subst 5178 ref 5178 ref 10136 ref appThm appThm trans appThm nil 879 ref 10129 remove nil cons cons 10139 def 4918 ref cons nil cons cons 5177 ref subst 5178 ref 5178 ref 10135 ref appThm appThm trans appThm nil 136 ref 39 ref 39 ref 10137 ref appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans absThm appThm 203 ref trans absThm appThm 203 ref trans appThm 652 ref 49 ref 23 ref 49 ref 7 ref 4802 ref nil 4268 ref 23 ref 10138 ref cons nil cons 10140 def cons nil cons cons 5179 ref subst 3181 ref refl 10141 def nil 10140 remove nil cons cons 3410 ref subst 10141 ref 10136 remove appThm trans appThm trans 10142 def appThm nil 10139 remove 167 ref cons nil cons cons 5177 ref subst 10141 ref 10141 remove 10135 remove appThm appThm trans 10143 def appThm nil 136 ref 3181 ref 3181 ref 10137 remove appTerm appTerm 10144 def nil cons cons nil cons nil cons cons 4833 ref subst trans absThm appThm 203 ref trans absThm appThm 203 ref trans appThm 49 ref 23 ref 49 ref 7 ref 4802 ref nil 4940 remove 7 ref 10138 remove cons 4925 remove cons cons nil cons cons 5177 ref subst nil 879 ref 38 ref 10132 remove appTerm 4825 ref appTerm nil cons cons 4918 ref cons nil cons cons 5177 ref subst trans 5178 ref 5178 ref 10142 remove appThm appThm trans appThm nil 879 ref 10131 remove cons 4918 remove cons nil cons cons 5177 ref subst 5178 ref 5178 remove 10143 remove appThm appThm trans appThm nil 136 ref 39 ref 39 remove 10144 remove appTerm appTerm nil cons cons nil cons nil cons cons 4833 ref subst trans absThm appThm 203 ref trans absThm appThm 203 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans appThm 875 ref trans sym 100 ref eqMp eqMp nil 107 ref 22 ref 23 ref 22 ref 7 ref 4286 remove 3184 ref appTerm absTerm appTerm absTerm appTerm nil cons cons 109 ref 70 ref 55 ref 4298 ref 8 ref appTerm 10145 def appTerm 8 ref appTerm 10146 def appTerm 70 ref 22 ref 7 ref 55 ref 4298 ref 4821 ref appTerm appTerm 8 ref appTerm absTerm appTerm 10147 def appTerm 70 ref 22 ref 7 ref 55 ref 4298 ref 4809 ref appTerm appTerm 8 ref appTerm absTerm appTerm 10148 def appTerm 70 ref 22 ref 7 ref 55 ref 30 ref 4821 ref appTerm 8 ref appTerm appTerm 8 ref appTerm absTerm appTerm 10149 def appTerm 70 ref 22 ref 7 ref 55 ref 30 ref 4809 ref appTerm 8 ref appTerm appTerm 8 ref appTerm absTerm appTerm 10150 def appTerm 70 ref 22 ref 23 ref 22 ref 7 ref 55 ref 30 ref 5192 remove appTerm 10151 def 4821 ref appTerm appTerm 10094 ref appTerm absTerm appTerm absTerm appTerm 10152 def appTerm 70 ref 22 ref 23 ref 22 ref 7 ref 55 ref 10151 remove 4809 remove appTerm appTerm 5193 remove 10094 remove appTerm appTerm absTerm appTerm absTerm appTerm 10153 def appTerm 70 ref 22 ref 23 ref 22 ref 7 ref 55 ref 10092 remove 4821 remove appTerm appTerm 10095 remove appTerm absTerm appTerm absTerm appTerm 10154 def appTerm 22 ref 10099 ref appTerm 10155 def appTerm 10156 def appTerm 10157 def appTerm 10158 def appTerm 10159 def appTerm 10160 def appTerm 10161 def appTerm 10162 def appTerm nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 10146 remove nil cons cons 109 ref 10162 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 10147 remove nil cons cons 109 ref 10161 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 10148 remove nil cons cons 109 ref 10160 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 10149 remove nil cons cons 109 ref 10159 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 10150 remove nil cons cons 109 ref 10158 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 10152 remove nil cons cons 109 ref 10157 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 10153 remove nil cons cons 109 ref 10156 remove nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp nil 107 ref 10154 remove nil cons cons 109 ref 10155 remove nil cons 10163 def cons nil cons cons nil cons cons 687 ref subst proveHyp nil 59 ref 10163 remove cons 60 ref 10100 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10099 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 10098 remove nil cons cons 60 ref 10097 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10096 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst 4805 remove nil 7 ref 4810 ref 10145 ref appTerm nil cons cons 4197 remove cons nil cons cons 5194 ref 34 ref appTerm 10164 def betaConv 5196 ref 31 ref appTerm 10165 def betaConv 5212 remove 5214 remove 123 ref subst proveHyp nil 59 ref 5213 remove cons 60 ref 10165 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5196 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 5195 remove nil cons cons 60 ref 10164 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 5194 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst 5219 ref nil 7 ref 10145 remove nil cons cons nil cons nil cons cons 4824 remove subst 5219 remove 10102 remove appThm 4831 ref trans trans appThm 4831 remove trans trans appThm 171 ref 4917 remove subst trans trans appThm nil 5976 ref nil cons cons 4833 ref subst trans sym 100 ref eqMp appThm 10101 remove appThm sym 7 ref 70 ref 9735 ref appTerm 5542 ref appTerm absTerm 10166 def 10046 ref appTerm betaConv sym 652 ref nil 8967 remove 6672 remove cons nil cons cons 5397 remove subst appThm 10167 def 10065 remove appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 10166 ref nil cons cons 10066 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10166 remove appTerm nil cons cons 60 ref 9734 ref 31 ref appTerm 10168 def nil cons 10169 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4282 ref 5239 ref cons nil cons cons 5363 ref subst eqMp nil 59 ref 10169 remove cons 60 ref 9737 remove cons nil cons 10170 def cons nil cons cons 152 ref subst proveHyp 864 ref 70 ref 9734 remove 865 ref appTerm appTerm 9813 remove appTerm absTerm 10171 def 10046 ref appTerm betaConv sym 10167 remove 10069 remove appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 10171 ref nil cons cons 10066 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10171 remove appTerm nil cons cons 10170 remove cons nil cons cons 132 ref subst proveHyp nil 4268 ref 5239 ref cons nil cons cons 5363 ref subst eqMp eqMp nil 59 ref 70 ref 10168 remove appTerm 9735 remove appTerm nil cons cons 60 ref 26 ref 5240 ref 4704 ref appTerm appTerm 3184 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 166 ref cons 4283 ref 5501 remove 5239 remove cons cons cons nil cons cons 9894 remove subst eqMp eqMp eqMp eqMp eqMp nil 107 ref 10080 remove cons 109 ref 10081 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 9827 remove cons 10078 remove 1422 ref 10055 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 107 ref 10075 remove cons 10079 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 107 ref 10054 remove cons 10079 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 10030 remove nil cons cons 10066 ref cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 10031 ref nil cons cons 10172 def 5523 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 10043 remove cons 109 ref 10033 ref cons nil cons 10173 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 10041 remove cons 10173 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9907 ref 1065 ref appTerm appTerm 10032 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9908 remove appTerm 10032 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9907 remove nil cons cons 10173 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 10037 remove cons 10173 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9909 remove 1065 ref appTerm appTerm 10032 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9910 remove appTerm 10032 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 10024 remove 10173 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 10033 remove cons 60 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 10029 remove absTerm appTerm absTerm appTerm absTerm appTerm 10174 def nil cons 10175 def cons nil cons 10176 def cons nil cons cons 132 ref subst proveHyp nil 135 ref "B0" 3 ref var 10177 def 64 ref 10031 ref 10177 ref varTerm 10178 def appTerm 10179 def appTerm 10174 ref appTerm 10180 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 10177 ref nil 94 ref 10180 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10179 ref nil cons 10181 def cons 10176 ref cons nil cons cons 10182 def 81 ref subst 10182 remove 152 ref subst 10179 ref betaConv 10179 remove assume eqMp nil 59 ref 20 ref 8870 ref 22 ref 23 ref 22 ref 7 ref 9551 remove 10028 ref 30 ref 10178 ref appTerm 10183 def 40 ref appTerm 10184 def appTerm 10185 def appTerm absTerm 10186 def appTerm 10187 def absTerm 10188 def appTerm 10189 def absTerm 10190 def appTerm 10191 def nil cons cons 10176 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 8870 ref 64 ref 10190 ref 8871 ref appTerm 10192 def appTerm 10174 ref appTerm 10193 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 10193 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10192 ref nil cons 10194 def cons 10176 ref cons nil cons cons 10195 def 81 ref subst 10195 remove 152 ref subst 10192 ref betaConv 10192 remove assume eqMp nil 59 ref 10189 remove nil cons 10196 def cons 10197 def 10176 ref cons nil cons cons 10198 def 132 ref subst proveHyp 10198 ref 81 ref subst 10198 remove 152 ref subst 8870 ref 20 ref 5935 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 64 ref 882 ref 8871 ref appTerm 10199 def appTerm 10028 ref 5946 ref appTerm 10200 def appTerm absTerm 10201 def appTerm 10202 def absTerm 10203 def appTerm 10204 def absTerm 10205 def appTerm 10206 def absTerm 10207 def appTerm 10208 def absTerm 10209 def 8871 ref appTerm 10210 def betaConv 10211 def 48 ref 5689 ref 111 ref 48 ref 4664 ref 49 ref 7 ref 50 ref 7 ref 9181 ref absTerm 10212 def 34 ref appTerm betaConv appThm 3487 ref 7 ref 6167 ref absTerm 10213 def 34 ref appTerm betaConv appThm 4665 ref refl 10214 def appThm appThm absThm appThm absThm appThm appThm 48 ref 4664 ref 48 ref 7 ref 49 ref 864 ref 9427 remove 50 ref 10212 ref 865 ref appTerm betaConv appThm 3487 ref 10213 ref 865 ref appTerm betaConv appThm 10214 remove appThm appThm appThm absThm appThm absThm appThm absThm appThm appThm nil 6171 ref 10212 remove nil cons cons 9428 ref 10213 remove nil cons cons nil cons cons nil cons cons 9439 ref subst eqMp absThm appThm sym 9972 remove nil 9973 remove 60 ref 20 ref 5689 ref 20 ref 4664 ref 20 ref 7 ref 22 ref 864 ref 9426 ref 26 ref 9441 ref appTerm 10215 def 38 ref 5761 ref 865 ref appTerm 10216 def appTerm 10217 def 4665 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10218 def appTerm absTerm 10219 def appTerm 10220 def nil cons 10221 def cons nil cons 10222 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 5689 ref 64 ref 9930 remove 5760 ref appTerm 10223 def appTerm 10220 ref appTerm 10224 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 5689 ref nil 94 ref 10224 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10223 ref nil cons 10225 def cons 10222 ref cons nil cons cons 10226 def 81 ref subst 10226 remove 152 ref subst 10223 ref betaConv 10223 remove assume eqMp nil 59 ref 20 ref 8870 ref 22 ref 7 ref 9095 remove 885 ref 5761 ref 733 remove appTerm appTerm appTerm absTerm appTerm absTerm 10227 def appTerm 10228 def nil cons cons 10222 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 7 ref 64 ref 10227 ref 34 ref appTerm 10229 def appTerm 10220 ref appTerm 10230 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 10230 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10229 ref nil cons 10231 def cons 10222 ref cons nil cons cons 10232 def 81 ref subst 10232 remove 152 ref subst 10229 ref betaConv 10229 remove assume eqMp nil 59 ref 22 ref 864 ref 9426 ref 4717 ref 5761 ref 5971 ref appTerm 10233 def appTerm 10234 def appTerm absTerm 10235 def appTerm nil cons 10236 def cons 10237 def 10222 remove cons nil cons cons 10238 def 132 ref subst proveHyp 10238 ref 81 ref subst 10238 remove 152 ref subst 10219 ref 5760 ref appTerm betaConv sym 10218 ref 8 ref appTerm betaConv sym 7 ref 22 ref 864 ref 9426 remove 10215 ref 10217 remove 8 ref appTerm appTerm 10239 def appTerm absTerm appTerm absTerm 10240 def 4837 ref appTerm betaConv sym nil 135 ref 864 ref 64 ref 26 ref 4837 ref appTerm 10241 def 865 ref appTerm 10242 def appTerm 10243 def 10239 ref appTerm 10244 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 864 ref nil 94 ref 10244 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10242 ref nil cons 10245 def cons 10246 def 60 ref 10239 remove nil cons 10247 def cons nil cons cons nil cons cons 10248 def 81 ref subst 10248 remove 152 ref subst 10215 ref refl nil 23 ref 10216 ref nil cons 10249 def cons nil cons nil cons cons 4915 ref subst appThm sym 879 ref 63 ref 26 ref 30 ref 9441 ref appTerm 10250 def 883 ref appTerm appTerm 10251 def 30 ref 10216 ref appTerm 10252 def 883 ref appTerm appTerm appTerm 1337 ref 10215 ref 10216 ref appTerm 10253 def appTerm 10254 def 8985 ref appTerm appTerm absTerm 10255 def 865 ref appTerm 10256 def betaConv 7 ref 22 ref 879 ref 63 ref 10251 remove 3212 ref appTerm appTerm 1337 ref 10215 remove 34 ref appTerm appTerm 8985 remove appTerm appTerm absTerm appTerm absTerm 10257 def 10216 remove appTerm 10258 def betaConv 8992 remove 9441 ref appTerm 10259 def betaConv 8995 remove nil 8996 remove 60 ref 10259 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 8997 remove 136 ref 9441 ref nil cons 10260 def cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 10257 ref appTerm nil cons cons 60 ref 10258 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10257 remove nil cons cons 136 ref 10249 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 10255 ref appTerm nil cons cons 60 ref 10256 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10255 remove nil cons cons 136 ref 9460 ref cons nil cons 10261 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 63 ref 26 ref 10250 ref 865 ref appTerm 10262 def appTerm 10263 def 10252 remove 865 ref appTerm 10264 def appTerm 10265 def appTerm 10266 def 10254 ref 7986 ref appTerm appTerm 10267 def nil cons cons 60 ref 10253 ref nil cons 10268 def cons nil cons 10269 def cons nil cons cons 132 ref subst proveHyp nil 10246 ref 60 ref 64 ref 10267 remove appTerm 10253 ref appTerm 10270 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 59 ref 7987 remove nil cons 10271 def cons 10272 def 60 ref 10243 ref 10270 remove appTerm nil cons 10273 def cons nil cons 10274 def cons nil cons cons 10275 def 81 ref subst 10275 remove 152 ref subst 10243 remove refl 651 ref 10266 ref refl 10254 remove refl nil 10272 remove 60 ref 63 ref 7986 ref appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 107 ref 7986 ref nil cons 10276 def cons 10277 def nil cons nil cons cons 1855 ref subst eqMp appThm nil 94 ref 10268 ref cons nil cons nil cons cons 1877 remove subst trans appThm appThm 10253 ref refl appThm appThm sym nil 10246 remove 60 ref 64 ref 10266 remove 10253 ref appTerm 10278 def appTerm 10253 remove appTerm nil cons 10279 def cons nil cons cons nil cons cons 10280 def 81 ref subst 10280 remove 152 ref subst nil 59 ref 10278 ref nil cons 10281 def cons 10269 remove cons nil cons cons 10282 def 81 ref subst 10282 remove 152 ref subst 10278 remove assume 7 ref 70 ref 10263 remove 34 ref appTerm appTerm 885 ref 10264 ref appTerm appTerm absTerm 10283 def 10250 remove 10233 ref appTerm 10284 def appTerm betaConv sym 652 ref nil 879 ref 10233 remove nil cons 10285 def cons 9461 ref 23 ref 10260 ref cons nil cons 10286 def cons cons nil cons cons 5820 ref subst appThm 26 ref 10284 ref appTerm 10264 ref appTerm 10287 def refl appThm sym "n''" 3 ref var 10288 def 70 ref 885 ref 10288 ref varTerm 10289 def appTerm appTerm 26 ref 10289 ref appTerm 865 ref appTerm appTerm absTerm 10290 def 4837 ref appTerm betaConv sym 652 ref 168 ref 7 ref 63 ref 882 ref 4837 ref appTerm appTerm 1337 ref 4756 ref 4837 ref appTerm appTerm 957 ref appTerm appTerm absTerm 10291 def 34 ref appTerm 10292 def betaConv 23 ref 22 ref 10291 ref appTerm 10293 def absTerm 10294 def 31 ref appTerm 10295 def betaConv nil 22 ref 10294 ref appTerm 10296 def axiom nil 59 ref 10296 remove nil cons cons 60 ref 10295 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10294 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 10293 remove nil cons cons 60 ref 10292 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10291 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 10297 def subst 1337 ref 5096 remove 4837 ref appTerm 10298 def appTerm refl 5451 remove appThm nil 94 ref 10298 remove nil cons cons nil cons nil cons cons 1887 ref subst trans trans appThm nil 94 ref 10245 ref cons nil cons nil cons cons 101 ref subst 10242 remove assume eqMp appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 10290 ref nil cons cons 5221 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10290 remove appTerm nil cons cons 60 ref 9425 remove nil cons 10299 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 9460 ref cons 10300 def 167 ref cons nil cons cons 5363 ref subst eqMp nil 59 ref 10299 remove cons 60 ref 10234 ref nil cons 10301 def cons nil cons cons nil cons cons 132 ref subst proveHyp 10235 ref 865 ref appTerm 10302 def betaConv nil 10237 remove 60 ref 10302 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 10235 remove nil cons cons 10261 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp nil 107 ref 55 ref 9441 ref appTerm 8 ref appTerm 10303 def nil cons cons 109 ref 10301 remove cons nil cons cons nil cons cons 9542 ref subst proveHyp nil 59 ref 1337 ref 10303 remove appTerm 10234 remove appTerm nil cons cons 60 ref 10287 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 50 ref nil 7 ref 10285 remove cons 10286 remove cons nil cons cons 4293 ref subst appThm 10264 ref refl appThm sym 50 ref nil 879 ref 10260 remove cons 7 ref 9467 ref cons 10304 def 6201 ref cons cons nil cons cons 6085 ref subst appThm nil 10300 ref 9461 ref 6201 ref cons cons nil cons cons 6085 ref subst appThm nil 879 ref 9443 ref nil cons 10305 def cons 7 ref 9442 ref nil cons cons 6201 remove cons cons nil cons cons 5820 ref subst trans sym nil 59 ref 1237 ref 55 ref 5971 ref appTerm 8 ref appTerm 10306 def appTerm nil cons 10307 def cons 10308 def 60 ref 26 ref 9442 remove appTerm 9443 ref appTerm nil cons 10309 def cons nil cons 10310 def cons nil cons cons 10311 def 81 ref subst 10311 remove 152 ref subst 50 ref 9440 ref refl 9367 remove 865 ref refl 10312 def appThm 10313 def 9368 remove 865 ref appTerm betaConv 10314 def trans appThm appThm 9443 ref refl 10315 def appThm sym nil 10308 remove 60 ref 22 ref 23 ref 70 ref 4756 ref 38 ref 30 ref 9216 remove 5971 ref appTerm appTerm 5971 ref appTerm appTerm 9218 remove 5971 ref appTerm 10316 def appTerm appTerm 10317 def appTerm 7869 remove 10316 remove appTerm 5971 ref appTerm 10318 def appTerm absTerm 10319 def appTerm nil cons 10320 def cons nil cons cons nil cons cons 132 ref subst nil 10304 remove nil cons nil cons cons 9351 remove subst eqMp nil 59 ref 10320 ref cons 10321 def 60 ref 26 ref 9440 remove 8257 remove 9443 ref appTerm 10322 def 5971 ref appTerm 10323 def appTerm appTerm 10324 def 9443 ref appTerm nil cons 10325 def cons nil cons cons nil cons cons 10326 def 132 ref subst proveHyp 10326 ref 81 ref subst 10326 remove 152 ref subst 10324 remove refl nil 23 ref 10305 ref cons nil cons nil cons cons 10319 ref 31 ref appTerm 10327 def betaConv nil 10321 remove 60 ref 10327 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 10319 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 107 ref 10317 remove nil cons cons 109 ref 10318 remove nil cons cons nil cons cons nil cons cons 123 ref subst proveHyp subst appThm sym 50 ref nil 7 ref 10323 ref nil cons cons 23 ref 9467 remove cons nil cons cons nil cons cons 4293 ref subst appThm 38 ref 30 ref 10323 remove appTerm 5971 ref appTerm 10328 def appTerm 9217 remove 9443 remove appTerm 5971 ref appTerm 10329 def appTerm refl appThm sym nil 7 ref 10329 remove nil cons cons 23 ref 10328 remove nil cons cons nil cons cons nil cons cons 4732 ref subst sym 100 ref eqMp eqMp eqMp eqMp nil 107 ref 10320 remove cons 109 ref 10325 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 107 ref 10307 ref cons 109 ref 10309 ref cons nil cons 10330 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 10306 ref nil cons 10331 def cons 10310 remove cons nil cons cons 10332 def 81 ref subst 10332 remove 152 ref subst 50 ref 4803 ref 10306 ref assume 10333 def appThm 10313 remove 10314 remove 10322 ref refl 10333 remove appThm trans trans appThm nil 7 ref 10322 remove 8 ref appTerm nil cons cons nil cons nil cons cons 4305 ref subst trans appThm 10315 remove appThm nil 7 ref 10305 remove cons nil cons nil cons cons 185 ref subst trans sym 100 ref eqMp eqMp nil 107 ref 10331 ref cons 10334 def 10330 ref cons nil cons cons 123 ref subst deductAntisym eqMp 1890 ref 10306 remove appTerm 10335 def betaConv 1893 ref nil 1894 ref 60 ref 10335 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1895 ref 198 ref 10331 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 10334 remove 109 ref 10307 remove cons 1422 ref 10309 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp nil 107 ref 55 ref 5760 ref appTerm 8 ref appTerm 10336 def nil cons cons 10330 remove cons nil cons cons 9542 remove subst proveHyp eqMp eqMp eqMp eqMp eqMp 134 ref 135 ref 10283 ref nil cons cons 136 ref 10284 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10283 remove appTerm nil cons cons 60 ref 10265 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 10264 remove nil cons cons 23 ref 10262 remove nil cons cons nil cons cons nil cons cons 5363 ref subst eqMp eqMp eqMp nil 107 ref 10281 remove cons 109 ref 10268 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 10245 remove cons 10337 def 109 ref 10279 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 10271 ref cons 109 ref 10273 ref cons nil cons 10338 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 10276 ref cons 10274 remove cons nil cons cons 10339 def 81 ref subst 10339 remove 152 ref subst 651 ref 10241 remove refl 7986 ref assume 10340 def appThm nil 23 ref 4852 remove cons nil cons nil cons cons 10089 ref 31 ref appTerm 10341 def betaConv 10091 remove nil 59 ref 10090 remove nil cons cons 60 ref 10341 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10089 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp 10342 def subst 7 ref 1237 ref 5226 remove 8 ref appTerm 10343 def appTerm 10344 def absTerm 10345 def 34 ref appTerm 10346 def betaConv nil 22 ref 10345 ref appTerm 10347 def axiom nil 59 ref 10347 remove nil cons cons 60 ref 10346 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10345 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 10344 remove nil cons cons 60 ref 63 ref 10343 ref appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 107 ref 10343 remove nil cons cons nil cons nil cons cons 1855 ref subst eqMp trans trans appThm 651 ref 111 ref 50 ref 4803 ref 9508 ref 10340 ref appThm 10348 def appThm 10340 ref appThm appThm 4803 ref 9837 remove 10340 ref appThm 10349 def appThm 10340 ref appThm appThm appThm 1371 ref 50 ref 10348 remove appThm 10349 remove appThm 10350 def appThm 4802 ref 10340 remove appThm 4820 ref appThm 4834 ref trans appThm nil 94 ref 26 ref 9180 ref 8 ref appTerm 10351 def appTerm 5761 remove 8 ref appTerm 10352 def appTerm 10353 def nil cons cons nil cons nil cons cons 1887 ref subst trans appThm nil 94 ref 26 ref 30 ref 10351 ref appTerm 10354 def 8 ref appTerm appTerm 30 ref 10352 remove appTerm 8 ref appTerm appTerm 10355 def nil cons cons nil cons nil cons cons 94 ref 63 ref 99 remove appTerm 97 ref appTerm absTerm 10356 def 97 remove appTerm 10357 def betaConv nil 194 ref 10356 ref appTerm 10358 def axiom nil 59 ref 10358 remove nil cons cons 60 ref 10357 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 10356 remove nil cons cons 200 remove cons nil cons cons 163 ref subst eqMp eqMp 10359 def subst trans appThm 10350 remove appThm appThm nil 94 ref 64 ref 10355 remove appTerm 10353 remove appTerm nil cons cons nil cons nil cons cons 2444 ref subst trans sym 100 ref eqMp eqMp nil 10277 ref 10338 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1890 ref 7986 remove appTerm 10360 def betaConv 1893 ref nil 1894 ref 60 ref 10360 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1895 ref 198 ref 10276 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 10277 remove 109 ref 10271 remove cons 1422 ref 10273 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp eqMp nil 10337 remove 109 ref 10247 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 10240 remove nil cons cons 5221 remove cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 10218 remove nil cons cons 4832 ref cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 10219 remove nil cons cons 5922 ref cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 10236 remove cons 109 ref 10221 remove cons nil cons 10361 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 10231 remove cons 10361 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 10227 ref 1065 ref appTerm appTerm 10220 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 10228 remove appTerm 10220 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10227 remove nil cons cons 10361 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 10225 remove cons 10361 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 10026 remove 10220 ref appTerm absTerm appTerm nil cons cons 60 ref 10027 remove 10220 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9970 remove 10361 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 59 ref 20 ref 5689 ref 20 ref 4664 ref 22 ref 7 ref 26 ref 9181 ref appTerm 10362 def 6174 remove appTerm absTerm appTerm absTerm appTerm absTerm 10363 def appTerm 10364 def nil cons cons 60 ref 22 ref 10209 ref appTerm 10365 def nil cons 10366 def cons nil cons 10367 def cons nil cons cons 132 ref subst proveHyp nil 135 ref "A0" 3 ref var 10368 def 64 ref 10363 ref 10368 ref varTerm 10369 def appTerm 10370 def appTerm 10365 ref appTerm 10371 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 10368 remove nil 94 ref 10371 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10370 ref nil cons 10372 def cons 10367 ref cons nil cons cons 10373 def 81 ref subst 10373 remove 152 ref subst 10370 ref betaConv 10370 remove assume eqMp nil 59 ref 20 ref 4664 ref 22 ref 7 ref 10362 ref 38 ref 30 ref 10369 ref appTerm 34 ref appTerm 10374 def appTerm 10375 def 4665 ref appTerm appTerm absTerm appTerm absTerm 10376 def appTerm 10377 def nil cons cons 10367 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 10177 ref 64 ref 10376 ref 10178 ref appTerm 10378 def appTerm 10365 ref appTerm 10379 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 10177 remove nil 94 ref 10379 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10378 ref nil cons 10380 def cons 10367 ref cons nil cons cons 10381 def 81 ref subst 10381 remove 152 ref subst 10378 ref betaConv 10378 remove assume eqMp nil 59 ref 22 ref 7 ref 10362 remove 10375 remove 10178 ref appTerm 10382 def appTerm 10383 def absTerm 10384 def appTerm nil cons 10385 def cons 10386 def 10367 ref cons nil cons cons 10387 def 132 ref subst proveHyp 10387 ref 81 ref subst 10387 remove 152 ref subst 5935 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 64 ref 10084 remove appTerm 10388 def 10200 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10389 def 10351 ref appTerm betaConv sym 21 ref 22 ref 23 ref 22 ref 7 ref 10388 ref 10028 ref 38 ref 10354 remove 34 ref appTerm 10390 def appTerm 10391 def 36 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10392 def 8 ref appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 10388 remove 10028 ref 10391 remove 8 ref appTerm 10393 def appTerm 10394 def appTerm 10395 def absTerm 10396 def appTerm 10397 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 10397 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 10396 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 10395 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref 10342 remove appThm 10394 ref refl appThm sym nil 59 ref 5377 remove cons 60 ref 10394 remove nil cons 10398 def cons nil cons cons nil cons cons 10399 def 81 ref subst 10399 remove 152 ref subst 63 ref "_16610" 3 ref var 10400 def 26 ref 29 ref 30 ref 10400 remove varTerm 10401 def appTerm 9181 ref appTerm appTerm 35 ref 9180 ref 10401 remove appTerm appTerm appTerm appTerm 10393 ref appTerm absTerm 10402 def 31 ref appTerm 10403 def appTerm refl 10402 ref 8 ref appTerm betaConv appThm 111 ref 10403 remove betaConv appThm 26 ref 29 ref 4298 ref 9181 ref appTerm appTerm 35 ref 10351 ref appTerm 10404 def appTerm 10405 def appTerm 10393 remove appTerm refl appThm trans 10402 remove refl 4757 remove assume appThm eqMp sym 50 ref 51 ref nil 7 ref 9609 remove cons 10406 def nil cons nil cons cons 4305 ref subst appThm 10404 ref refl appThm nil 7 ref 10404 ref nil cons cons nil cons nil cons cons 10407 def 7 ref 55 ref 29 ref 8 ref appTerm 34 ref appTerm appTerm 34 ref appTerm absTerm 10408 def 34 ref appTerm 10409 def betaConv nil 22 ref 10408 ref appTerm 10410 def axiom nil 59 ref 10410 remove nil cons cons 60 ref 10409 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10408 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst trans appThm nil 23 ref 10390 remove nil cons cons nil cons nil cons cons 4915 ref subst appThm sym 26 ref 10404 remove appTerm refl nil 23 ref 10351 ref nil cons 10411 def cons nil cons nil cons cons 4293 ref subst appThm sym 10407 remove 5450 remove subst eqMp eqMp eqMp eqMp nil 5378 remove 109 ref 10398 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 10392 remove nil cons cons 4832 ref cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 10389 ref nil cons cons 136 ref 10411 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10389 remove appTerm 10412 def nil cons cons 60 ref 22 ref 8870 ref 64 ref 10208 ref appTerm 10413 def 20 ref 5935 ref 20 ref 21 ref 22 ref 23 ref 22 ref 7 ref 64 ref 882 remove 4811 ref 8871 ref appTerm 10414 def appTerm appTerm 10415 def 10200 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10416 def appTerm 10417 def appTerm 10418 def absTerm 10419 def appTerm 10420 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 135 ref 10419 remove nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 10418 remove nil cons 10421 def cons nil cons nil cons cons 101 ref subst nil 135 ref 5935 ref 64 ref 10207 ref 5942 ref appTerm 10422 def appTerm 10423 def 10417 ref appTerm 10424 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 5935 ref nil 94 ref 10424 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10422 ref nil cons 10425 def cons 10426 def 60 ref 10417 ref nil cons 10427 def cons nil cons 10428 def cons nil cons cons 10429 def 81 ref subst 10429 remove 152 ref subst 10422 ref betaConv 10422 remove assume eqMp 10430 def nil 59 ref 10206 ref nil cons cons 10431 def 10428 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 64 ref 10205 ref 36 ref appTerm 10432 def appTerm 10433 def 10417 ref appTerm 10434 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 10434 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 10432 ref nil cons 10435 def cons 10436 def 10428 ref cons nil cons cons 10437 def 81 ref subst 10437 remove 152 ref subst 10432 ref betaConv 10432 remove assume eqMp 10438 def nil 59 ref 10204 remove nil cons 10439 def cons 10440 def 10428 remove cons nil cons cons 10441 def 132 ref subst proveHyp 10441 ref 81 ref subst 10441 remove 152 ref subst 10416 ref 38 ref 5942 ref appTerm 10442 def 38 ref 9180 ref 10414 ref appTerm 10443 def appTerm 30 ref 10414 ref appTerm 10444 def 10369 ref appTerm 10445 def appTerm 10446 def appTerm 10447 def appTerm betaConv sym 21 ref 22 ref 23 ref 22 ref 7 ref 10415 ref 10028 ref 38 ref 30 ref 10447 ref appTerm 34 ref appTerm 10448 def appTerm 10449 def 36 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10450 def 38 ref 10444 ref 10178 ref appTerm 10451 def appTerm 36 ref appTerm 10452 def appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 10415 remove 10028 ref 10449 remove 10452 ref appTerm 10453 def appTerm 10454 def appTerm 10455 def absTerm 10456 def appTerm 10457 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 10457 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 10456 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 10455 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref nil 8960 ref nil cons nil cons cons 10297 remove subst appThm 10454 ref refl appThm sym nil 59 ref 1337 ref 4756 remove 10414 ref appTerm 10458 def appTerm 10199 ref appTerm nil cons 10459 def cons 60 ref 10454 remove nil cons 10460 def cons nil cons 10461 def cons nil cons cons 10462 def 81 ref subst 10462 remove 152 ref subst nil 59 ref 10199 remove nil cons 10463 def cons 10464 def 10461 ref cons nil cons cons 10465 def 81 ref subst 10465 remove 152 ref subst 864 ref 70 ref 10028 ref 865 ref appTerm appTerm 10466 def 4717 ref 10453 ref appTerm 10467 def appTerm absTerm 10468 def 5946 ref appTerm betaConv sym nil 10464 ref 60 ref 10200 ref nil cons 10469 def cons nil cons cons nil cons cons 132 ref subst 10201 ref 34 ref appTerm 10470 def betaConv 10203 ref 31 ref appTerm 10471 def betaConv nil 10440 ref 60 ref 10471 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 10203 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 10202 remove nil cons cons 60 ref 10470 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10201 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp 10472 def nil 59 ref 10469 ref cons 60 ref 26 ref 5946 ref appTerm 10473 def 10453 ref appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 10473 remove refl nil 5238 ref 7 ref 10451 ref nil cons 10474 def cons 23 ref 10448 remove nil cons cons nil cons cons cons nil cons cons 3486 ref subst 3487 ref 3487 ref 4803 ref nil 879 ref 10445 ref nil cons 10475 def cons 7 ref 10443 ref nil cons 10476 def cons 10477 def 23 ref 5942 remove nil cons 10478 def cons nil cons 10479 def cons 10480 def cons nil cons cons 3486 ref subst appThm 3282 ref appThm appThm 10451 ref refl 10481 def appThm appThm 739 ref appThm trans appThm nil 879 ref 38 ref 30 ref 38 ref 10442 ref 10443 ref appTerm 10482 def appTerm 10445 ref appTerm appTerm 34 ref appTerm appTerm 10451 ref appTerm nil cons cons 5253 ref 7 ref 5944 ref nil cons 10483 def cons 10484 def nil cons cons 10485 def cons nil cons cons 7077 ref subst trans sym 26 ref 5944 remove appTerm 10486 def refl 10487 def 3487 ref nil 4268 ref 7 ref 10475 remove cons 10488 def 23 ref 10482 remove nil cons cons nil cons cons cons nil cons cons 3225 ref subst 3487 ref nil 4268 ref 10480 remove cons nil cons cons 3225 ref subst appThm 30 ref 10445 remove appTerm 34 ref appTerm 10489 def refl appThm nil 879 ref 10489 ref nil cons 10490 def cons 7 ref 30 ref 10443 ref appTerm 34 ref appTerm 10491 def nil cons 10492 def cons 23 ref 10483 ref cons nil cons 10493 def cons cons nil cons cons 5177 ref subst trans trans appThm 10481 ref appThm nil 879 ref 10474 ref cons 10494 def 7 ref 38 ref 10491 remove appTerm 10495 def 10489 ref appTerm nil cons cons 10493 ref cons cons nil cons cons 5177 ref subst 5945 ref refl 10496 def nil 10494 remove 7 ref 10490 ref cons 23 ref 10492 ref cons nil cons 10497 def cons cons nil cons cons 5177 ref subst appThm trans trans appThm nil 7 ref 10495 ref 38 ref 10489 remove appTerm 10451 remove appTerm 10498 def appTerm nil cons cons 10493 ref cons nil cons cons 4732 ref subst trans sym 100 ref eqMp eqMp eqMp eqMp 134 ref 135 ref 10468 ref nil cons cons 136 ref 5946 ref nil cons 10499 def cons nil cons 10500 def cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10468 remove appTerm nil cons cons 10461 ref cons nil cons cons 132 ref subst proveHyp nil 879 ref 10453 ref nil cons cons 10501 def 23 ref 10003 remove cons nil cons 10502 def cons nil cons cons 5363 ref subst eqMp eqMp nil 107 ref 10463 ref cons 10503 def 109 ref 10460 ref cons nil cons 10504 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 10458 ref nil cons 10505 def cons 10461 remove cons nil cons cons 10506 def 81 ref subst 10506 remove 152 ref subst 63 ref "_16612" 3 ref var 10507 def 26 ref 29 ref 30 ref 10507 remove varTerm 10508 def appTerm 9181 ref appTerm appTerm 35 ref 9180 remove 10508 remove appTerm appTerm appTerm appTerm 10453 ref appTerm absTerm 10509 def 31 ref appTerm 10510 def appTerm refl 10509 ref 10414 ref appTerm betaConv appThm 111 ref 10510 remove betaConv appThm 26 ref 29 ref 10444 remove 9181 ref appTerm 10511 def appTerm 35 ref 10443 remove appTerm 10512 def appTerm 10513 def appTerm 10514 def 10453 ref appTerm 10515 def refl appThm trans 10509 remove refl 10458 remove assume appThm eqMp sym 864 ref 70 ref 10514 remove 865 ref appTerm appTerm 10467 remove appTerm absTerm 10516 def 38 ref 10511 ref appTerm 10512 ref appTerm 10517 def appTerm betaConv sym 652 ref nil 7 ref 10512 ref nil cons cons 23 ref 10511 ref nil cons cons nil cons cons 10518 def nil cons cons 7365 remove subst appThm 26 ref 10517 ref appTerm 10519 def 10453 remove appTerm 10520 def refl appThm nil 94 ref 10520 remove nil cons cons nil cons nil cons cons 874 ref subst trans sym 10519 ref refl 10521 def 3487 ref nil 4268 ref 7 ref 10446 remove nil cons cons 10479 ref cons cons nil cons cons 3225 ref subst 10496 remove nil 4268 ref 10488 remove 23 ref 10476 remove cons nil cons cons cons nil cons cons 3225 ref subst appThm trans appThm 10452 ref refl appThm appThm sym 10521 remove nil 8071 remove 740 ref cons 5547 remove 10474 remove cons 5609 ref 10490 remove cons 4664 ref 10492 remove cons 5689 ref 10483 remove cons nil cons cons cons cons cons nil cons cons 4802 ref nil 879 ref 5688 remove 8075 ref appTerm 10522 def nil cons cons 10523 def 8080 remove cons nil cons cons 5177 ref subst 6207 ref nil 10523 ref 8082 remove cons nil cons cons 5177 ref subst appThm trans appThm nil 879 ref 6203 ref 6206 ref 8075 remove appTerm 10524 def appTerm nil cons cons 9840 remove cons nil cons cons 5177 ref subst 6199 ref refl nil 879 ref 10524 remove nil cons cons 8095 remove cons nil cons cons 5179 ref subst 8087 remove nil 9839 remove 8094 remove cons nil cons cons 5179 ref subst appThm nil 10523 ref 8093 remove cons nil cons cons 5179 ref subst trans trans appThm nil 879 ref 6203 ref 10522 ref appTerm nil cons cons 10019 remove cons nil cons cons 5179 ref subst 6207 remove nil 10523 remove 5843 remove cons nil cons cons 5179 remove subst appThm trans trans trans appThm nil 136 ref 6206 remove 6203 remove 6199 remove 10522 remove appTerm appTerm appTerm nil cons cons nil cons nil cons cons 4833 remove subst trans sym 100 ref eqMp subst appThm sym 26 ref 10511 remove appTerm 10525 def refl 3487 ref nil 4268 ref 7 ref 10369 remove nil cons cons 23 ref 10414 ref nil cons cons nil cons 10526 def cons cons nil cons cons 6085 remove subst appThm 10481 remove appThm nil 879 ref 10178 ref nil cons 10527 def cons 7 ref 10374 remove nil cons cons 10526 ref cons cons nil cons cons 6095 remove subst trans appThm sym nil 879 ref 10382 remove nil cons cons 10406 remove 10526 remove cons cons nil cons cons 5820 remove subst 1337 ref 55 ref 10414 ref appTerm 8 ref appTerm 10528 def appTerm refl nil 94 ref 10383 remove nil cons cons nil cons nil cons cons 101 ref subst 10384 ref 34 ref appTerm 10529 def betaConv nil 10386 remove 60 ref 10529 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 10384 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm nil 94 ref 10528 remove nil cons cons nil cons nil cons cons 1887 remove subst trans trans sym 100 ref eqMp eqMp nil 59 ref 10525 remove 10498 ref appTerm 10530 def nil cons cons 60 ref 26 ref 10512 remove appTerm 10495 remove 5946 ref appTerm 10531 def appTerm 10532 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 50 ref nil 10477 remove 167 ref cons nil cons cons 4293 ref subst appThm 10531 ref refl appThm sym nil 7 ref 10499 remove cons 10497 remove cons nil cons cons 4731 remove subst eqMp eqMp nil 59 ref 70 ref 10530 remove appTerm 10532 remove appTerm nil cons cons 60 ref 10519 remove 38 ref 10498 ref appTerm 10531 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 10531 remove nil cons cons 879 ref 10498 remove nil cons cons 10518 remove cons cons nil cons cons 905 ref subst eqMp eqMp eqMp eqMp eqMp 134 ref 135 ref 10516 ref nil cons cons 136 ref 10517 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10516 remove appTerm nil cons cons 60 ref 10515 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 10501 remove 23 ref 10513 remove nil cons cons nil cons cons nil cons cons 5363 ref subst eqMp eqMp eqMp nil 107 ref 10505 remove cons 10533 def 10504 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 10533 remove 109 ref 10463 remove cons 10534 def 1422 ref 10460 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 107 ref 10459 remove cons 10504 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 10450 remove nil cons cons 136 ref 10452 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 10416 remove nil cons cons 136 ref 10447 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 10439 remove cons 10535 def 109 ref 10427 remove cons nil cons 10536 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 10435 remove cons 10537 def 10536 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 10205 ref 1065 ref appTerm appTerm 10538 def 10417 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 10206 remove appTerm 10539 def 10417 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10205 remove nil cons cons 10540 def 10536 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 10425 remove cons 10541 def 10536 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 10207 ref 1065 ref appTerm appTerm 10542 def 10417 remove appTerm absTerm appTerm nil cons cons 60 ref 10421 remove cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10207 remove nil cons cons 10543 def 10536 remove cons nil cons cons 1090 ref subst eqMp eqMp absThm eqMp eqMp nil 59 ref 70 ref 10412 remove appTerm 10420 remove appTerm nil cons cons 10367 remove cons nil cons cons 132 ref subst proveHyp 651 ref 652 ref 10209 ref 8 ref appTerm betaConv appThm 49 ref 8870 ref 651 ref 10211 ref appThm 10209 ref 10414 remove appTerm betaConv appThm absThm appThm appThm appThm 49 ref 8870 ref 10211 remove absThm appThm appThm nil 4875 ref 10209 remove nil cons 10544 def cons nil cons nil cons cons 4888 remove subst eqMp eqMp eqMp nil 107 ref 10385 remove cons 109 ref 10366 ref cons nil cons 10545 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 10380 remove cons 10545 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 10376 ref 1065 ref appTerm appTerm 10365 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 10377 remove appTerm 10365 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10376 remove nil cons cons 10545 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 10372 remove cons 10545 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 10363 ref 1065 ref appTerm appTerm 10365 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 10364 remove appTerm 10365 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10363 remove nil cons cons 10545 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 10366 remove cons 60 ref 10210 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10544 remove cons 9078 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 10208 remove nil cons cons 10176 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 5935 ref 10423 remove 10174 ref appTerm 10546 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 5935 remove nil 94 ref 10546 remove nil cons cons nil cons nil cons cons 101 ref subst nil 10426 remove 10176 ref cons nil cons cons 10547 def 81 ref subst 10547 remove 152 ref subst 10430 remove nil 10431 remove 10176 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 21 ref 10433 remove 10174 ref appTerm 10548 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 10548 remove nil cons cons nil cons nil cons cons 101 ref subst nil 10436 remove 10176 ref cons nil cons cons 10549 def 81 ref subst 10549 remove 152 ref subst 10438 remove nil 10440 remove 10176 ref cons nil cons cons 10550 def 132 ref subst proveHyp 10550 ref 81 ref subst 10550 remove 152 ref subst 48 ref 5689 ref 48 ref 4664 ref 652 ref 4802 ref nil 7 ref 4298 remove 10351 remove appTerm 10551 def nil cons cons nil cons nil cons cons 177 ref subst appThm 4820 ref appThm 4834 remove trans appThm 22 ref 23 ref 22 ref 7 ref 10028 ref 5762 remove appTerm absTerm appTerm absTerm appTerm 10552 def refl appThm nil 94 ref 10552 ref nil cons cons nil cons nil cons cons 874 ref subst trans absThm appThm absThm appThm sym 5689 ref 20 ref 4664 ref 10552 ref absTerm appTerm absTerm 10553 def 10442 remove 10178 remove appTerm 10554 def appTerm betaConv sym 4664 ref 22 ref 23 ref 22 ref 7 ref 10028 ref 38 ref 30 ref 10554 ref appTerm 10555 def 40 ref appTerm 10556 def appTerm 10557 def 4665 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10558 def 36 ref appTerm betaConv sym nil 135 ref 23 ref 22 ref 7 ref 10028 remove 10557 remove 36 ref appTerm 10559 def appTerm 10560 def absTerm 10561 def appTerm 10562 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 10562 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 10561 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 10560 remove nil cons 10563 def cons nil cons nil cons cons 101 ref subst nil 10464 ref 60 ref 10563 ref cons nil cons 10564 def cons nil cons cons 10565 def 81 ref subst 10565 remove 152 ref subst 864 ref 10466 remove 4717 ref 10559 ref appTerm appTerm absTerm 10566 def 5946 remove appTerm betaConv sym 652 ref nil 94 ref 10469 remove cons nil cons nil cons cons 101 ref subst 10472 remove eqMp 10567 def appThm nil 879 ref 10556 ref nil cons cons 10568 def 10485 remove cons nil cons cons 7077 ref subst appThm nil 94 ref 10486 remove 10556 ref appTerm nil cons cons nil cons nil cons cons 874 ref subst trans sym 10487 ref 10555 remove refl 3410 ref appThm appThm sym 10487 remove nil 7347 remove 7 ref 10527 ref cons 10479 ref cons 10569 def cons nil cons cons 3225 ref subst 3487 ref nil 4282 ref 10479 ref cons nil cons cons 3199 ref subst appThm nil 4282 remove 23 ref 10527 remove cons nil cons 10570 def cons nil cons cons 3199 ref subst appThm nil 879 ref 38 ref 10183 ref 34 ref appTerm 10571 def appTerm 10183 remove 31 ref appTerm 10572 def appTerm 10573 def nil cons cons 7 ref 5943 ref 31 ref appTerm 10574 def nil cons 10575 def cons 10576 def 10493 ref cons cons nil cons cons 5177 ref subst trans trans appThm nil 7 ref 38 ref 10574 ref appTerm 10577 def 10573 remove appTerm nil cons cons 10493 remove cons nil cons cons 4732 ref subst trans sym 100 ref eqMp eqMp eqMp eqMp 134 ref 135 ref 10566 ref nil cons cons 10578 def 10500 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 10566 ref appTerm nil cons cons 10564 ref cons nil cons cons 132 ref subst 10579 def proveHyp nil 879 ref 10559 ref nil cons cons 10502 remove cons nil cons cons 5363 ref subst 10580 def eqMp eqMp nil 10503 ref 109 ref 10563 ref cons nil cons 10581 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 9631 remove 10564 ref cons nil cons cons 10582 def 81 ref subst 10582 remove 152 ref subst nil 59 ref 885 remove 8871 ref appTerm 10583 def nil cons 10584 def cons 10585 def 10564 ref cons nil cons cons 10586 def 81 ref subst 10586 remove 152 ref subst 10566 ref 10577 remove 36 ref appTerm 10587 def appTerm betaConv sym 652 ref 50 ref nil 7 ref 9585 remove cons 23 ref 9587 remove cons nil cons cons nil cons cons 805 remove subst appThm 10587 ref refl appThm appThm 26 ref 10587 ref appTerm 10559 ref appTerm refl appThm sym 652 ref nil 864 ref 137 ref cons nil cons nil cons cons nil 94 ref 26 ref 29 ref 35 ref 9441 remove appTerm appTerm 5972 remove 9181 remove appTerm appTerm appTerm 38 ref 5943 ref 865 ref appTerm appTerm 36 ref appTerm appTerm 10588 def nil cons cons nil cons nil cons cons 101 ref subst 864 ref 10588 remove absTerm 10589 def 865 ref appTerm 10590 def betaConv nil 10585 remove 60 ref 22 ref 10589 ref appTerm nil cons 10591 def cons nil cons cons nil cons cons 132 ref subst 168 ref nil 10464 remove 60 ref 22 ref 7 ref 10200 remove absTerm 10592 def appTerm nil cons 10593 def cons nil cons cons nil cons cons 10594 def 81 ref subst 10594 remove 152 ref subst nil 135 ref 10592 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref 10567 remove absThm eqMp eqMp nil 10503 remove 109 ref 10593 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 10591 remove cons 60 ref 10590 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10589 remove nil cons cons 10261 remove cons nil cons cons 163 ref subst eqMp eqMp eqMp subst appThm nil 10568 remove 5253 remove 10576 remove nil cons cons cons nil cons cons 7077 ref subst appThm nil 94 ref 26 ref 10574 remove appTerm 10595 def 10556 remove appTerm nil cons cons nil cons nil cons cons 874 ref subst trans sym 10595 remove refl nil 3206 ref 10569 ref cons nil cons cons 3225 ref subst 3487 ref nil 4268 ref 4283 ref 10479 remove cons cons nil cons cons 3199 ref subst appThm nil 4268 remove 4283 remove 10570 ref cons cons nil cons cons 3199 remove subst appThm nil 879 ref 38 ref 10572 remove appTerm 10571 remove appTerm 10596 def nil cons cons 10484 remove 23 ref 10575 remove cons nil cons 10597 def cons cons nil cons cons 5177 ref subst trans trans appThm nil 7 ref 5945 remove 10596 remove appTerm nil cons cons 10597 remove cons nil cons cons 4732 ref subst trans sym 100 ref eqMp eqMp eqMp eqMp 134 ref 10578 ref 136 ref 10587 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp 10579 ref proveHyp 10580 ref eqMp eqMp nil 107 ref 10584 ref cons 10581 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 9208 remove 10564 remove cons nil cons cons 10598 def 81 ref subst 10598 remove 152 ref subst 10566 remove 10184 ref appTerm betaConv sym 652 ref nil 94 ref 9582 remove cons nil cons nil cons cons 101 ref subst 9549 remove assume eqMp appThm nil 94 ref 9207 remove cons nil cons nil cons cons 101 ref subst 9094 ref assume eqMp appThm 875 ref trans sym 100 ref eqMp nil 9578 remove 60 ref 10185 remove nil cons 10599 def cons nil cons cons nil cons cons 132 ref subst proveHyp 10186 ref 34 ref appTerm 10600 def betaConv 10188 ref 31 ref appTerm 10601 def betaConv nil 10197 remove 60 ref 10601 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 10188 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 10187 remove nil cons cons 60 ref 10600 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10186 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp nil 59 ref 10599 remove cons 60 ref 26 ref 10184 ref appTerm 10602 def 10559 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 10602 remove refl 10603 def 3487 ref 4803 ref nil 10569 remove nil cons cons 3410 ref subst appThm 40 ref refl appThm appThm 739 ref appThm appThm sym 10603 remove 3487 ref nil 3206 remove 7 ref 10478 remove cons 10570 remove cons cons nil cons cons 3225 ref subst appThm 739 ref appThm nil 5238 remove 7 ref 5943 remove 40 ref appTerm 10604 def nil cons cons 23 ref 10184 remove nil cons 10605 def cons nil cons 10606 def cons cons nil cons cons 5177 ref subst trans appThm nil 7 ref 38 ref 10604 remove appTerm 36 ref appTerm nil cons cons 10606 remove cons nil cons cons 4732 ref subst trans sym 100 ref eqMp eqMp eqMp eqMp 134 ref 10578 remove 136 ref 10605 remove cons nil cons cons nil cons cons 279 ref subst proveHyp 10579 remove proveHyp 10580 remove eqMp eqMp nil 9372 ref 10581 ref cons nil cons cons 123 ref subst deductAntisym eqMp 7 ref 1337 ref 9094 remove appTerm 10583 remove appTerm absTerm 10607 def 34 ref appTerm 10608 def betaConv 5599 remove 8871 ref appTerm 10609 def betaConv 5602 remove nil 5603 remove 60 ref 10609 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 5604 remove 9078 ref cons nil cons cons 163 ref subst eqMp eqMp 10610 def nil 59 ref 22 ref 10607 ref appTerm nil cons cons 10611 def 60 ref 10608 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10607 ref nil cons cons 10612 def 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 9372 remove 109 ref 10584 remove cons 1422 ref 10563 remove cons nil cons 10613 def cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp nil 9583 ref 10581 remove cons nil cons cons 123 ref subst deductAntisym eqMp 10607 remove 31 ref appTerm 10614 def betaConv 10610 remove nil 10611 remove 60 ref 10614 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 10612 remove 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 9583 remove 10534 remove 10613 remove cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 10558 remove nil cons cons 5523 remove cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 10553 remove nil cons cons 136 ref 10554 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 59 ref 20 ref 5689 ref 20 ref 4664 ref 70 ref 55 ref 29 ref 10551 ref appTerm 10551 remove appTerm appTerm 8 ref appTerm appTerm 10552 remove appTerm absTerm appTerm absTerm appTerm nil cons cons 10176 remove cons nil cons cons 132 ref subst proveHyp 651 ref 48 ref 5689 ref 48 ref 4664 ref 652 ref 4802 remove 23 ref 7 ref 9556 remove absTerm 10615 def absTerm 10616 def 8 ref appTerm betaConv 4820 ref appThm 7 ref 10405 remove absTerm 8 ref appTerm betaConv trans appThm 4820 ref appThm appThm 49 ref 23 ref 49 ref 7 ref 50 ref 10616 ref 31 ref appTerm betaConv 3282 ref appThm 10615 remove 34 ref appTerm betaConv trans appThm 10617 def 5868 remove appThm absThm appThm absThm appThm appThm absThm appThm absThm appThm appThm 48 ref 21 ref 49 ref 23 ref 49 ref 7 ref 10617 remove 178 remove appThm absThm appThm absThm appThm absThm appThm appThm nil 5869 remove 10616 remove nil cons cons nil cons nil cons cons 5927 remove subst eqMp eqMp eqMp nil 10535 remove 109 ref 10175 remove cons nil cons 10618 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 10537 remove 10618 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 10538 remove 10174 ref appTerm absTerm appTerm nil cons cons 60 ref 10539 remove 10174 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 10540 remove 10618 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 10541 remove 10618 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 10542 remove 10174 ref appTerm absTerm appTerm nil cons cons 60 ref 10413 remove 10174 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 10543 remove 10618 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 10196 remove cons 10618 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 10194 remove cons 10618 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 10190 ref 1065 ref appTerm appTerm 10174 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 10191 remove appTerm 10174 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10190 remove nil cons cons 10618 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 10181 remove cons 10618 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 10031 remove 1065 ref appTerm appTerm 10174 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 10032 remove appTerm 10174 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 10172 remove 10618 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp eqMp nil 9090 ref 109 ref 9495 ref cons nil cons 10619 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 8794 ref 9496 remove cons nil cons cons 10620 def 81 ref subst 10620 remove 152 ref subst 3068 remove 3069 remove 9498 ref nil 94 ref 8762 ref cons nil cons nil cons cons 101 ref subst 8746 ref assume 10621 def eqMp 10622 def appThm 9501 ref appThm 9502 remove appThm 9505 remove 726 ref 8623 ref subst 10623 def subst trans 10624 def appThm 4297 remove 7 ref 4305 remove absThm trans 10625 def trans appThm 9506 remove 10622 remove appThm 9507 remove appThm 9508 remove appThm 9510 remove 3109 remove 8623 remove subst subst trans appThm 11 remove 3119 remove subst trans sym 100 ref eqMp eqMp nil 9499 ref 10619 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1890 ref 8746 ref appTerm 10626 def betaConv 1893 ref nil 1894 ref 60 ref 10626 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1895 ref 198 ref 8762 ref cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 10627 def nil 9499 ref 109 ref 8748 ref cons 10628 def 1422 ref 9495 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp 9511 remove trans 3282 ref appThm appThm appThm 9490 remove appThm appThm 6217 remove appThm nil 94 ref 9416 remove nil cons cons nil cons nil cons cons 101 ref subst 9417 ref 34 ref appTerm 10629 def betaConv nil 9479 remove 60 ref 10629 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 9417 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp trans sym 100 ref eqMp eqMp eqMp nil 59 ref 70 ref 8864 remove appTerm 9489 remove appTerm nil cons cons 60 ref 9486 remove 6210 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 6219 remove 6220 remove 7 ref 9485 remove nil cons cons 23 ref 8847 remove nil cons cons nil cons cons cons cons nil cons cons 905 remove subst eqMp eqMp eqMp eqMp 134 ref 135 ref 9484 ref nil cons cons 136 ref 8846 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 9484 remove appTerm nil cons cons 60 ref 9483 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 876 ref 6188 remove nil cons cons 9538 remove 23 ref 8844 remove nil cons cons nil cons cons cons nil cons cons 876 remove 64 ref 20 ref 7 ref 915 remove 886 ref appTerm absTerm appTerm appTerm 922 remove 886 ref appTerm appTerm absTerm 10630 def 886 remove appTerm 10631 def betaConv 1091 remove nil 59 ref 22 ref 10630 ref appTerm nil cons cons 60 ref 10631 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 10630 remove nil cons cons 904 remove cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 9481 remove nil cons cons 1093 remove cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 9382 remove nil cons cons 6221 remove cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 9478 remove cons 109 ref 9384 remove cons nil cons 10632 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9476 remove cons 10632 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9419 ref 1065 ref appTerm appTerm 9383 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9420 remove appTerm 9383 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9419 remove nil cons cons 10632 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9472 remove cons 10632 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9421 remove 1065 ref appTerm appTerm 9383 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9469 remove appTerm 9383 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9468 remove 10632 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp eqMp nil 107 ref 9413 remove cons 10632 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 9409 remove cons 10632 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 9405 ref 1065 ref appTerm appTerm 9383 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 9406 remove appTerm 9383 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9405 remove nil cons cons 10632 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 9400 remove cons 10632 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 9755 remove 9383 ref appTerm absTerm appTerm nil cons cons 60 ref 9756 remove 9383 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 6005 remove 10632 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 9544 remove 10632 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 9546 remove 10632 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 9547 remove 9383 ref appTerm absTerm appTerm nil cons cons 60 ref 9548 remove 9383 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 9373 remove 10632 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 8866 remove cons 109 ref 8852 remove cons nil cons 10633 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 8862 remove cons 10633 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 8858 ref 1065 ref appTerm appTerm 8851 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 8859 remove appTerm 8851 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8858 remove nil cons cons 10633 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 8856 remove cons 10633 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 8849 ref 1065 ref appTerm appTerm 8851 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 8850 remove appTerm 8851 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 8849 remove nil cons cons 10633 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp eqMp nil 9090 ref 109 ref 8824 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp 10634 def nil 59 ref 705 ref 8823 remove appTerm 10635 def nil cons 10636 def cons 1330 ref cons nil cons cons 10637 def 132 ref subst proveHyp 10638 def nil 243 ref 219 ref 705 ref 236 ref 705 ref 307 ref 705 ref 3000 ref 64 ref 3014 remove appTerm 10639 def 4632 ref appTerm 10640 def absTerm 10641 def appTerm 10642 def absTerm 10643 def appTerm 10644 def absTerm 10645 def appTerm 10646 def absTerm 10647 def nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 10646 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 10645 remove nil cons cons nil cons nil cons cons 727 ref subst 236 ref nil 94 ref 10644 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 10643 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 10642 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 10641 remove nil cons cons nil cons nil cons cons 727 ref subst 3000 ref nil 94 ref 10640 remove nil cons cons nil cons nil cons cons 101 ref subst 6317 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 10648 def nil 59 ref 705 ref 10647 remove appTerm 10649 def nil cons 10650 def cons 10651 def 60 ref 64 ref 10635 ref appTerm 1241 ref appTerm 10652 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 10653 def 746 ref nil 749 ref 60 ref 64 ref 10649 ref appTerm 10654 def 10652 remove appTerm 10655 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 10656 def 6696 ref nil 59 ref 705 ref 219 ref 232 ref 6683 ref appTerm 233 ref appTerm 10657 def absTerm 10658 def appTerm 10659 def nil cons 10660 def cons 10661 def 60 ref 64 ref 747 remove appTerm 10662 def 10655 remove appTerm 10663 def nil cons cons nil cons 10664 def cons nil cons cons 132 ref subst proveHyp 1096 ref nil 1098 ref 60 ref 64 ref 10659 remove appTerm 10665 def 10663 ref appTerm 10666 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 807 ref nil 809 ref 60 ref 6292 ref 10666 remove appTerm 10667 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 8817 ref 60 ref 64 ref 755 ref appTerm 10668 def 10667 remove appTerm 10669 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 59 ref 1237 ref 8751 remove appTerm 10670 def nil cons 10671 def cons 10672 def 60 ref 64 ref 8815 ref appTerm 10673 def 10669 remove appTerm 10674 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8749 ref 60 ref 64 ref 10670 ref appTerm 10675 def 10674 remove appTerm 10676 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8741 ref 60 ref 8819 ref 10676 remove appTerm 10677 def nil cons cons nil cons cons nil cons cons 132 ref subst 307 ref 64 ref 712 ref appTerm 10678 def 10677 remove appTerm absTerm 10679 def 320 ref appTerm 10680 def betaConv 219 ref 705 ref 10679 ref appTerm 10681 def absTerm 10682 def 233 ref appTerm 10683 def betaConv 706 ref 219 ref 706 ref 307 ref 10678 ref refl 10684 def 8819 ref refl 10685 def 10675 ref refl 10686 def 10673 ref refl 10668 ref refl 10687 def 6292 ref refl 10688 def 10665 ref refl 10689 def 10662 ref refl 10690 def 10654 ref refl 10691 def nil 94 ref 10636 ref cons nil cons nil cons cons 1246 ref subst 10692 def appThm appThm 10693 def appThm appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm sym nil 243 ref 219 ref 705 ref 307 ref 10678 ref 8819 ref 10675 ref 10673 remove 10668 ref 6292 ref 10665 ref 10662 ref 10654 ref 1237 ref 10635 ref appTerm 10694 def appTerm 10695 def appTerm 10696 def appTerm 10697 def appTerm 10698 def appTerm 10699 def appTerm 10700 def appTerm 10701 def appTerm 10702 def appTerm 10703 def absTerm 10704 def appTerm 10705 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 10705 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 10704 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 10703 remove nil cons cons nil cons nil cons cons 101 ref subst nil 8741 ref 60 ref 10702 remove nil cons 10706 def cons nil cons cons nil cons cons 10707 def 81 ref subst 10707 remove 152 ref subst nil 8749 ref 60 ref 10701 remove nil cons 10708 def cons nil cons cons nil cons cons 10709 def 81 ref subst 10709 remove 152 ref subst nil 10672 ref 60 ref 10700 remove nil cons 10710 def cons nil cons cons nil cons cons 10711 def 81 ref subst 10711 remove 152 ref subst nil 8817 remove 60 ref 10699 remove nil cons 10712 def cons nil cons cons nil cons cons 10713 def 81 ref subst 10713 remove 152 ref subst nil 809 ref 60 ref 10698 remove nil cons 10714 def cons nil cons cons nil cons cons 10715 def 81 ref subst 10715 remove 152 ref subst nil 1098 ref 60 ref 10697 remove nil cons 10716 def cons nil cons cons nil cons cons 10717 def 81 ref subst 10717 remove 152 ref subst nil 10661 ref 60 ref 10696 ref nil cons 10718 def cons nil cons 10719 def cons nil cons cons 10720 def 81 ref subst 10720 remove 152 ref subst nil 749 ref 60 ref 10695 remove nil cons 10721 def cons nil cons cons nil cons cons 10722 def 81 ref subst 10723 def 10722 remove 152 ref subst 10724 def nil 10651 ref 60 ref 10694 remove nil cons 10725 def cons nil cons cons nil cons cons 10726 def 81 ref subst 10727 def 10726 remove 152 ref subst 10728 def 10692 ref 10637 ref 81 ref subst 10729 def 10637 remove 152 ref subst 10730 def nil 10672 ref 60 ref 232 ref 8809 ref appTerm 10731 def 6681 ref appTerm 10732 def nil cons 10733 def cons nil cons cons nil cons cons 132 ref subst nil "_16676" 214 ref var 10734 def 730 ref cons nil cons nil cons cons nil 1642 ref 232 ref 10734 remove varTerm 10735 def appTerm 4236 ref appTerm 10736 def nil cons 10737 def cons 1648 ref 232 ref 4444 ref 8266 ref 10735 ref appTerm appTerm 10735 ref appTerm appTerm 6681 ref appTerm 10738 def nil cons 10739 def cons nil cons cons nil cons cons 1705 ref subst 63 ref 1337 ref 10736 remove appTerm 10738 remove appTerm 10740 def appTerm refl nil 60 ref 10737 remove cons 59 ref 10739 remove cons nil cons cons nil cons cons 1724 ref subst appThm nil 198 ref 10740 remove nil cons cons nil cons nil cons cons 635 ref subst trans sym 100 ref eqMp 219 ref 1337 ref 8746 ref appTerm 8821 ref appTerm absTerm 10741 def 10735 ref appTerm 10742 def betaConv 706 ref 219 ref 8826 ref 2729 ref subst 1371 ref 8795 remove 1251 remove subst 10743 def appThm 8821 ref refl appThm trans absThm appThm 10635 remove assume eqMp 10744 def nil 59 ref 705 ref 10741 ref appTerm nil cons cons 10745 def 60 ref 10742 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10741 ref nil cons cons 10746 def 219 ref 10735 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 10733 remove cons 60 ref 8268 ref 8267 ref appTerm 10747 def nil cons 10748 def cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_16671" 214 ref var 10749 def 8830 ref cons nil cons nil cons cons 724 ref 10749 remove varTerm 10750 def appTerm 10751 def betaConv nil 749 ref 60 ref 10751 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 725 ref 219 ref 10750 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst 10752 def eqMp nil 59 ref 70 ref 10732 remove appTerm 10747 ref appTerm nil cons cons 60 ref 232 ref 8810 ref appTerm 10753 def 6682 ref 8267 ref appTerm 10754 def appTerm 10755 def nil cons 10756 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_16675" 214 ref var 10757 def 8830 ref cons "_16674" 214 ref var 10758 def 8830 ref cons "_16673" 214 ref var 10759 def 6685 ref cons "_16672" 214 ref var 10760 def 8809 ref nil cons 10761 def cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 10760 remove varTerm 10762 def appTerm 10763 def 10759 remove varTerm 10764 def appTerm 10765 def appTerm 10766 def appTerm 10767 def 1237 ref 232 ref 10758 remove varTerm 10768 def appTerm 10769 def 10757 remove varTerm 10770 def appTerm 10771 def appTerm 10772 def appTerm nil cons cons 1648 ref 232 ref 4444 ref 10762 ref appTerm 10773 def 10768 ref appTerm appTerm 10774 def 4444 ref 10764 ref appTerm 10775 def 10770 ref appTerm appTerm 10776 def nil cons 10777 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 10772 remove nil cons 10778 def cons 1648 ref 10766 remove nil cons 10779 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 10765 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 10771 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 10776 remove refl appThm trans 10767 ref refl nil 60 ref 10777 ref cons 10780 def 59 ref 10778 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 10778 ref cons 10780 remove 59 ref 10779 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 10779 remove cons 1708 ref 10778 remove cons 1792 ref 10777 remove cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 1337 ref 10767 ref 1237 ref 10769 remove 3001 ref appTerm appTerm appTerm appTerm 10774 remove 10775 remove 3001 ref appTerm 10781 def appTerm appTerm absTerm 10782 def 10770 ref appTerm 10783 def betaConv 307 ref 705 ref 3000 ref 1337 ref 10767 remove 1237 ref 3013 remove appTerm 10784 def appTerm appTerm 232 ref 10773 remove 320 ref appTerm appTerm 10785 def 10781 remove appTerm appTerm absTerm appTerm absTerm 10786 def 10768 ref appTerm 10787 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 1337 ref 1337 ref 1237 ref 10763 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 10785 remove 4599 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10788 def 10764 ref appTerm 10789 def betaConv 219 ref 705 ref 236 ref 705 ref 307 ref 705 ref 3000 ref 1337 ref 1337 ref 1237 ref 3010 remove appTerm appTerm 10784 ref appTerm 10790 def appTerm 10791 def 4632 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10792 def 10762 ref appTerm 10793 def betaConv 706 ref 219 ref 706 ref 236 ref 706 ref 307 ref 706 ref 3000 ref 4635 remove 2729 ref subst 1371 ref nil 6228 remove 60 ref 4637 remove cons nil cons cons nil cons cons 2034 ref subst appThm 10794 def 4632 remove refl appThm trans absThm appThm absThm appThm absThm appThm absThm appThm 10649 ref assume eqMp 10795 def nil 59 ref 705 ref 10792 ref appTerm nil cons cons 10796 def 60 ref 10793 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10792 ref nil cons cons 10797 def 219 ref 10762 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10788 ref appTerm nil cons cons 60 ref 10789 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10788 remove nil cons cons 219 ref 10764 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10786 ref appTerm nil cons cons 60 ref 10787 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10786 remove nil cons cons 219 ref 10768 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10782 ref appTerm nil cons cons 60 ref 10783 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10782 remove nil cons cons 219 ref 10770 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 10756 remove cons 60 ref 232 ref 10754 ref appTerm 8267 ref appTerm 10798 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_16670" 214 ref var 10799 def 8830 ref cons nil cons nil cons cons 10658 ref 10799 remove varTerm 10800 def appTerm 10801 def betaConv nil 10661 ref 60 ref 10801 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 243 ref 10658 ref nil cons cons 10802 def 219 ref 10800 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 70 ref 10755 remove appTerm 10798 remove appTerm nil cons cons 60 ref 10753 ref 8267 remove appTerm nil cons 10803 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_16669" 214 ref var 10804 def 8830 ref cons "_16668" 214 ref var 10805 def 10754 remove nil cons cons "_16667" 214 ref var 10806 def 8810 remove nil cons 10807 def cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 10806 remove varTerm 10808 def appTerm 10809 def 10805 remove varTerm 10810 def appTerm 10811 def appTerm 10812 def appTerm 10813 def 1237 ref 232 ref 10810 ref appTerm 10814 def 10804 remove varTerm 10815 def appTerm 10816 def appTerm 10817 def appTerm nil cons cons 1648 ref 10809 ref 10815 ref appTerm 10818 def nil cons 10819 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 10817 remove nil cons 10820 def cons 1648 ref 10812 remove nil cons 10821 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 10811 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 10816 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 10818 remove refl appThm trans 10813 ref refl nil 60 ref 10819 ref cons 10822 def 59 ref 10820 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 10820 ref cons 10822 remove 59 ref 10821 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 10821 remove cons 1708 ref 10820 remove cons 1792 ref 10819 remove cons nil cons cons cons nil cons cons 2701 ref subst 756 ref 1337 ref 10813 remove 1237 ref 10814 remove 758 ref appTerm appTerm appTerm appTerm 10809 ref 758 ref appTerm 10823 def appTerm absTerm 10824 def 10815 ref appTerm 10825 def betaConv 307 ref 705 ref 756 ref 1337 ref 1337 ref 1237 ref 10809 remove 320 ref appTerm appTerm appTerm 8785 ref appTerm appTerm 10823 remove appTerm absTerm appTerm absTerm 10826 def 10810 ref appTerm 10827 def betaConv 8789 ref 10808 ref appTerm 10828 def betaConv 8791 ref nil 8792 ref 60 ref 10828 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 8793 ref 219 ref 10808 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10826 ref appTerm nil cons cons 60 ref 10827 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10826 remove nil cons cons 219 ref 10810 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10824 ref appTerm nil cons cons 60 ref 10825 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10824 remove nil cons cons 219 ref 10815 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 10803 remove cons 60 ref 8812 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_16680" 214 ref var 10829 def 8830 ref cons "_16679" 214 ref var 10830 def 10807 ref cons nil cons cons nil cons cons nil 1642 ref 1237 ref 232 ref 10830 remove varTerm 10831 def appTerm 10832 def 10829 remove varTerm 10833 def appTerm 10834 def appTerm nil cons 10835 def cons 1648 ref 232 ref 10833 ref appTerm 10831 ref appTerm 10836 def nil cons 10837 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 10834 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 10836 remove refl appThm trans nil 60 ref 10837 remove cons 59 ref 10835 remove cons nil cons cons nil cons cons 1724 ref subst 307 ref 1337 ref 1237 ref 10832 remove 320 ref appTerm appTerm appTerm 716 ref 10831 ref appTerm appTerm absTerm 10838 def 10833 ref appTerm 10839 def betaConv 219 ref 705 ref 307 ref 8788 remove 750 ref appTerm absTerm 10840 def appTerm absTerm 10841 def 10831 ref appTerm 10842 def betaConv 706 ref 219 ref 706 ref 307 ref nil 8741 ref 60 ref 750 ref nil cons 10843 def cons nil cons cons nil cons cons 10844 def 1438 ref subst absThm appThm absThm appThm 706 ref 219 ref 111 ref 706 ref 307 ref 652 ref 307 ref 1337 ref 712 ref appTerm 1237 ref 750 ref appTerm appTerm absTerm 10845 def 320 ref appTerm betaConv 10846 def appThm 10840 ref 320 ref appTerm betaConv 10847 def appThm absThm appThm appThm 652 ref 706 ref 307 ref 10846 remove absThm appThm appThm 706 ref 307 ref 10847 remove absThm appThm appThm appThm nil "p" 215 ref var 10848 def 10845 ref nil cons cons "q" 215 remove var 10849 def 10840 remove nil cons cons nil cons cons nil cons cons 726 ref 1517 ref subst 10850 def subst eqMp absThm appThm 111 ref 706 ref 219 ref 652 ref 219 ref 705 ref 10845 remove appTerm absTerm 10851 def 233 ref appTerm betaConv 10852 def appThm 10841 ref 233 ref appTerm betaConv 10853 def appThm absThm appThm appThm 652 ref 706 ref 219 ref 10852 remove absThm appThm appThm 706 ref 219 ref 10853 remove absThm appThm appThm appThm nil 10848 ref 10851 ref nil cons cons 10849 ref 10841 ref nil cons 10854 def cons nil cons cons nil cons cons 10850 ref subst eqMp trans trans 755 remove assume eqMp nil 107 ref 705 ref 10851 remove appTerm nil cons cons 109 ref 705 ref 10841 ref appTerm nil cons 10855 def cons nil cons cons nil cons cons 687 ref subst proveHyp 10856 def nil 59 ref 10855 remove cons 10857 def 60 ref 10842 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10854 remove cons 10858 def 219 ref 10831 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10838 ref appTerm nil cons cons 60 ref 10839 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10838 remove nil cons cons 219 ref 10833 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 8813 ref 1330 ref cons nil cons cons 132 ref subst proveHyp 8814 remove 1613 ref subst 8815 remove assume eqMp eqMp eqMp nil 107 ref 10636 remove cons 1614 ref cons nil cons cons 123 ref subst 10859 def deductAntisym eqMp eqMp eqMp nil 107 ref 10650 ref cons 10860 def 109 ref 10725 remove cons nil cons cons nil cons cons 123 ref subst 10861 def deductAntisym eqMp eqMp nil 107 ref 748 remove cons 10862 def 109 ref 10721 remove cons nil cons cons nil cons cons 123 ref subst 10863 def deductAntisym eqMp eqMp nil 107 ref 10660 remove cons 10864 def 109 ref 10718 remove cons nil cons 10865 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 6308 ref 109 ref 10716 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 808 remove cons 10866 def 109 ref 10714 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 8816 remove cons 10867 def 109 ref 10712 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 10671 remove cons 10868 def 109 ref 10710 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 9090 ref 109 ref 10708 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 8740 ref cons 10869 def 109 ref 10706 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 10682 ref appTerm nil cons cons 60 ref 10683 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10682 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 10681 remove nil cons cons 60 ref 10680 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10679 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 10867 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 8813 remove 60 ref 10753 ref 8807 ref appTerm 10870 def nil cons 10871 def cons nil cons 10872 def cons nil cons cons 152 ref subst proveHyp nil 59 ref 10871 remove cons 10873 def nil cons nil cons cons 10874 def 1252 ref subst sym nil 59 ref 1237 ref 10870 remove appTerm 10875 def nil cons 10876 def cons 10877 def 1330 ref cons nil cons cons 10878 def 81 ref subst 10878 remove 152 ref subst 6642 ref nil 59 ref 705 ref 6638 ref appTerm 10879 def nil cons 10880 def cons 10881 def 1330 ref cons nil cons cons 10882 def 132 ref subst proveHyp 6339 ref nil 59 ref 705 ref 6337 ref appTerm 10883 def nil cons 10884 def cons 10885 def 60 ref 64 ref 10879 ref appTerm 1241 ref appTerm 10886 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1096 ref nil 1098 ref 60 ref 64 ref 10883 ref appTerm 10887 def 10886 remove appTerm 10888 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 10648 ref nil 10651 ref 60 ref 6292 ref 10888 remove appTerm 10889 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 746 ref nil 749 ref 60 ref 10654 ref 10889 remove appTerm 10890 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 10877 ref 60 ref 10662 ref 10890 remove appTerm 10891 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 10672 ref 60 ref 64 ref 10875 ref appTerm 10892 def 10891 remove appTerm 10893 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8749 ref 60 ref 10675 ref 10893 remove appTerm 10894 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8741 ref 60 ref 8819 ref 10894 remove appTerm 10895 def nil cons cons nil cons cons nil cons cons 132 ref subst 219 ref 10678 ref 10895 remove appTerm absTerm 10896 def 233 ref appTerm 10897 def betaConv 307 ref 705 ref 10896 ref appTerm 10898 def absTerm 10899 def 320 ref appTerm 10900 def betaConv 706 ref 307 ref 706 ref 219 ref 10684 ref 10685 ref 10686 ref 10892 ref refl 10690 ref 10691 ref 10688 ref 10887 ref refl 10901 def nil 94 ref 10880 ref cons nil cons nil cons cons 1246 ref subst 10902 def appThm appThm appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm sym nil 243 ref 307 ref 705 ref 219 ref 10678 ref 8819 ref 10675 ref 10892 remove 10662 ref 10654 ref 6292 ref 10887 ref 1237 ref 10879 remove appTerm 10903 def appTerm 10904 def appTerm 10905 def appTerm 10906 def appTerm 10907 def appTerm 10908 def appTerm 10909 def appTerm 10910 def appTerm 10911 def absTerm 10912 def appTerm 10913 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 10913 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 10912 remove nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 10911 remove nil cons cons nil cons nil cons cons 101 ref subst nil 8741 ref 60 ref 10910 remove nil cons 10914 def cons nil cons cons nil cons cons 10915 def 81 ref subst 10915 remove 152 ref subst nil 8749 ref 60 ref 10909 remove nil cons 10916 def cons nil cons cons nil cons cons 10917 def 81 ref subst 10917 remove 152 ref subst nil 10672 ref 60 ref 10908 remove nil cons 10918 def cons nil cons cons nil cons cons 10919 def 81 ref subst 10919 remove 152 ref subst nil 10877 remove 60 ref 10907 remove nil cons 10920 def cons nil cons cons nil cons cons 10921 def 81 ref subst 10921 remove 152 ref subst nil 749 ref 60 ref 10906 remove nil cons 10922 def cons nil cons cons nil cons cons 10923 def 81 ref subst 10923 remove 152 ref subst nil 10651 ref 60 ref 10905 remove nil cons 10924 def cons nil cons cons nil cons cons 10925 def 81 ref subst 10925 remove 152 ref subst nil 1098 ref 60 ref 10904 remove nil cons 10926 def cons nil cons cons nil cons cons 10927 def 81 ref subst 10927 remove 152 ref subst nil 10885 ref 60 ref 10903 remove nil cons 10928 def cons nil cons cons nil cons cons 10929 def 81 ref subst 10929 remove 152 ref subst 10902 remove 10882 ref 81 ref subst 10882 remove 152 ref subst nil "_16663" 214 ref var 10930 def 8830 ref cons "_16662" 214 ref var 10931 def 10761 ref cons nil cons cons nil cons cons 307 ref 232 ref 4444 ref 10931 ref varTerm 10932 def appTerm 320 ref appTerm appTerm 4588 ref 10932 ref appTerm appTerm absTerm 10933 def 10930 ref varTerm 10934 def appTerm 10935 def betaConv 6337 ref 10932 ref appTerm 10936 def betaConv nil 10885 ref 60 ref 10936 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 6338 ref 219 ref 10932 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10933 ref appTerm nil cons cons 60 ref 10935 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10933 remove nil cons cons 219 ref 10934 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 10937 def subst nil 59 ref 10753 remove 8802 ref 8809 remove appTerm 10938 def appTerm 10939 def nil cons cons 60 ref 232 ref 10938 ref appTerm 10940 def 8807 ref appTerm 10941 def nil cons cons nil cons 10942 def cons nil cons cons 152 ref subst proveHyp 10752 ref nil 59 ref 10748 remove cons 10943 def 60 ref 10731 remove 4588 ref 8742 ref appTerm 10944 def appTerm 10945 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 10930 ref 730 ref cons 10931 ref 8742 ref nil cons 10946 def cons nil cons cons nil cons cons 10937 ref subst eqMp nil 59 ref 70 ref 10747 remove appTerm 10947 def 10945 remove appTerm nil cons cons 60 ref 10940 ref 8802 remove 10944 ref appTerm 10948 def appTerm 10949 def nil cons 10950 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_16658" 214 ref var 10951 def 10944 remove nil cons cons "_16657" 214 ref var 10952 def 10761 remove cons "_16656" 214 ref var 10953 def 8830 ref cons "_16655" 214 ref var 10954 def 8830 ref cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 10954 remove varTerm 10955 def appTerm 10956 def 10953 remove varTerm 10957 def appTerm 10958 def appTerm 10959 def appTerm 10960 def 1237 ref 232 ref 10952 remove varTerm 10961 def appTerm 10962 def 10951 remove varTerm 10963 def appTerm 10964 def appTerm 10965 def appTerm nil cons cons 1648 ref 232 ref 4444 ref 10955 ref appTerm 10966 def 10961 ref appTerm appTerm 10967 def 4444 ref 10957 ref appTerm 10968 def 10963 ref appTerm appTerm 10969 def nil cons 10970 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 10965 remove nil cons 10971 def cons 1648 ref 10959 remove nil cons 10972 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 10958 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 10964 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 10969 remove refl appThm trans 10960 ref refl nil 60 ref 10970 ref cons 10973 def 59 ref 10971 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 10971 ref cons 10973 remove 59 ref 10972 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 10972 remove cons 1708 ref 10971 remove cons 1792 ref 10970 remove cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 1337 ref 10960 ref 1237 ref 10962 remove 3001 ref appTerm appTerm appTerm appTerm 10967 remove 10968 remove 3001 ref appTerm 10974 def appTerm appTerm absTerm 10975 def 10963 ref appTerm 10976 def betaConv 307 ref 705 ref 3000 ref 1337 ref 10960 remove 10784 ref appTerm appTerm 232 ref 10966 remove 320 ref appTerm appTerm 10977 def 10974 remove appTerm appTerm absTerm appTerm absTerm 10978 def 10961 ref appTerm 10979 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 1337 ref 1337 ref 1237 ref 10956 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 10977 remove 4599 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10980 def 10957 ref appTerm 10981 def betaConv 10792 ref 10955 ref appTerm 10982 def betaConv 10795 ref nil 10796 ref 60 ref 10982 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 10797 ref 219 ref 10955 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10980 ref appTerm nil cons cons 60 ref 10981 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10980 remove nil cons cons 219 ref 10957 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10978 ref appTerm nil cons cons 60 ref 10979 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10978 remove nil cons cons 219 ref 10961 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10975 ref appTerm nil cons cons 60 ref 10976 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10975 remove nil cons cons 219 ref 10963 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 10950 remove cons 60 ref 232 ref 10948 ref appTerm 4444 ref 8806 ref appTerm 8742 ref appTerm 10983 def appTerm 10984 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_16666" 214 ref var 10985 def 10946 ref cons "_16665" 214 ref var 10986 def 730 ref cons "_16664" 214 ref var 10987 def 8830 ref cons nil cons cons cons nil cons cons 756 ref 232 ref 4444 ref 10987 remove varTerm 10988 def appTerm 10989 def 4444 ref 10986 remove varTerm 10990 def appTerm 758 ref appTerm appTerm appTerm 4444 ref 10989 ref 10990 ref appTerm appTerm 758 ref appTerm appTerm absTerm 10991 def 10985 remove varTerm 10992 def appTerm 10993 def betaConv 307 ref 705 ref 756 ref 232 ref 10989 ref 6618 ref appTerm appTerm 4444 ref 10989 remove 320 ref appTerm appTerm 758 ref appTerm appTerm absTerm appTerm absTerm 10994 def 10990 ref appTerm 10995 def betaConv 6638 remove 10988 ref appTerm 10996 def betaConv nil 10881 remove 60 ref 10996 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 6639 remove 219 ref 10988 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10994 ref appTerm nil cons cons 60 ref 10995 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10994 remove nil cons cons 219 ref 10990 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 10991 ref appTerm nil cons cons 60 ref 10993 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10991 remove nil cons cons 219 ref 10992 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 70 ref 10949 remove appTerm 10984 remove appTerm nil cons cons 60 ref 10940 remove 10983 ref appTerm 10997 def nil cons 10998 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_16661" 214 ref var 10999 def 10983 ref nil cons 11000 def cons "_16660" 214 ref var 11001 def 10948 remove nil cons cons "_16659" 214 ref var 11002 def 10938 remove nil cons 11003 def cons nil cons 11004 def cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 11002 ref varTerm 11005 def appTerm 11006 def 11001 ref varTerm 11007 def appTerm 11008 def appTerm 11009 def appTerm 11010 def 1237 ref 232 ref 11007 ref appTerm 11011 def 10999 ref varTerm 11012 def appTerm 11013 def appTerm 11014 def appTerm nil cons cons 1648 ref 11006 ref 11012 ref appTerm 11015 def nil cons 11016 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 11014 remove nil cons 11017 def cons 1648 ref 11009 remove nil cons 11018 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 11008 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 11013 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 11015 remove refl appThm trans 11010 ref refl nil 60 ref 11016 ref cons 11019 def 59 ref 11017 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 11017 ref cons 11019 remove 59 ref 11018 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 11018 remove cons 1708 ref 11017 remove cons 1792 ref 11016 remove cons nil cons cons cons nil cons cons 2701 ref subst 756 ref 1337 ref 11010 remove 1237 ref 11011 remove 758 ref appTerm appTerm appTerm appTerm 11006 ref 758 ref appTerm 11020 def appTerm absTerm 11021 def 11012 ref appTerm 11022 def betaConv 307 ref 705 ref 756 ref 1337 ref 1337 ref 1237 ref 11006 remove 320 ref appTerm appTerm appTerm 8785 ref appTerm appTerm 11020 remove appTerm absTerm appTerm absTerm 11023 def 11007 ref appTerm 11024 def betaConv 8789 ref 11005 ref appTerm 11025 def betaConv 8791 ref nil 8792 ref 60 ref 11025 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 8793 ref 219 ref 11005 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11023 ref appTerm nil cons cons 60 ref 11024 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11023 remove nil cons cons 219 ref 11007 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11021 ref appTerm nil cons cons 60 ref 11022 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11021 remove nil cons cons 219 ref 11012 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp 11026 def subst eqMp nil 59 ref 10998 remove cons 60 ref 232 ref 10983 remove appTerm 8807 ref appTerm 11027 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 10930 remove 10946 ref cons 10931 remove 8806 ref nil cons 11028 def cons nil cons cons nil cons cons 10937 remove subst eqMp nil 59 ref 70 ref 10997 remove appTerm 11027 remove appTerm nil cons cons 10942 remove cons nil cons cons 132 ref subst proveHyp nil 10999 remove 8807 ref nil cons 11029 def cons 11030 def 11001 ref 11000 remove cons 11004 remove cons cons nil cons cons 11026 ref subst eqMp eqMp nil 59 ref 70 ref 10939 remove appTerm 10941 remove appTerm nil cons cons 10872 remove cons nil cons cons 132 ref subst proveHyp nil 11030 remove 11001 remove 11003 remove cons 11002 remove 10807 ref cons nil cons cons cons nil cons cons 11026 remove subst eqMp nil 10873 remove 1330 ref cons nil cons cons 132 ref subst proveHyp 10874 remove 1613 ref subst 10875 remove assume eqMp eqMp eqMp nil 107 ref 10880 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 10884 ref cons 11031 def 109 ref 10928 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 6308 ref 109 ref 10926 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10860 ref 109 ref 10924 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10862 ref 109 ref 10922 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 10876 remove cons 11032 def 109 ref 10920 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10868 ref 109 ref 10918 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 9090 ref 109 ref 10916 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10869 ref 109 ref 10914 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 10899 ref appTerm nil cons cons 60 ref 10900 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10899 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 10898 remove nil cons cons 60 ref 10897 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 10896 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 11032 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp 242 ref 243 ref 8808 ref nil cons cons 219 ref 10807 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 8808 remove appTerm nil cons cons 60 ref 8268 ref 8807 ref appTerm nil cons 11033 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 11029 ref cons 8831 ref cons nil cons cons 6311 ref subst eqMp nil 59 ref 11033 remove cons 60 ref 232 ref 8807 ref appTerm 8804 ref appTerm 11034 def nil cons 11035 def cons nil cons 11036 def cons nil cons cons 152 ref subst proveHyp nil 59 ref 11035 remove cons 11037 def nil cons nil cons cons 11038 def 1252 ref subst sym nil 59 ref 1237 ref 11034 remove appTerm 11039 def nil cons 11040 def cons 11041 def 1330 ref cons nil cons cons 11042 def 81 ref subst 11042 remove 152 ref subst 10648 ref nil 10651 ref 1330 ref cons nil cons cons 11043 def 132 ref subst proveHyp 11044 def 746 ref nil 749 ref 60 ref 10654 ref 1241 ref appTerm 11045 def nil cons cons nil cons 11046 def cons nil cons cons 132 ref subst proveHyp 807 ref nil 809 ref 60 ref 10662 ref 11045 ref appTerm 11047 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 11041 ref 60 ref 10668 ref 11047 remove appTerm 11048 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 10672 ref 60 ref 64 ref 11039 ref appTerm 11049 def 11048 remove appTerm 11050 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8749 ref 60 ref 10675 ref 11050 remove appTerm 11051 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8741 ref 60 ref 8819 ref 11051 remove appTerm 11052 def nil cons cons nil cons cons nil cons cons 132 ref subst 307 ref 10678 ref 11052 remove appTerm absTerm 11053 def 320 ref appTerm 11054 def betaConv 219 ref 705 ref 11053 ref appTerm 11055 def absTerm 11056 def 233 ref appTerm 11057 def betaConv 706 ref 219 ref 706 ref 307 ref 10684 ref 10685 ref 10686 ref 11049 ref refl 10687 ref 10690 ref nil 94 ref 10650 remove cons nil cons nil cons cons 1246 ref subst 11058 def appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm sym nil 243 ref 219 ref 705 ref 307 ref 10678 ref 8819 ref 10675 ref 11049 remove 10668 ref 10662 ref 1237 ref 10649 remove appTerm 11059 def appTerm 11060 def appTerm 11061 def appTerm 11062 def appTerm 11063 def appTerm 11064 def appTerm 11065 def absTerm 11066 def appTerm 11067 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 11067 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 11066 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 11065 remove nil cons cons nil cons nil cons cons 101 ref subst nil 8741 ref 60 ref 11064 remove nil cons 11068 def cons nil cons cons nil cons cons 11069 def 81 ref subst 11069 remove 152 ref subst nil 8749 ref 60 ref 11063 remove nil cons 11070 def cons nil cons cons nil cons cons 11071 def 81 ref subst 11071 remove 152 ref subst nil 10672 ref 60 ref 11062 remove nil cons 11072 def cons nil cons cons nil cons cons 11073 def 81 ref subst 11073 remove 152 ref subst nil 11041 remove 60 ref 11061 remove nil cons 11074 def cons nil cons cons nil cons cons 11075 def 81 ref subst 11075 remove 152 ref subst nil 809 ref 60 ref 11060 remove nil cons 11076 def cons nil cons cons nil cons cons 11077 def 81 ref subst 11077 remove 152 ref subst nil 749 ref 60 ref 11059 ref nil cons 11078 def cons nil cons 11079 def cons nil cons cons 11080 def 81 ref subst 11080 remove 152 ref subst 11058 ref 11043 ref 81 ref subst 11081 def 11043 remove 152 ref subst 11082 def nil "_16645" 214 ref var 11083 def 10946 ref cons nil cons nil cons cons 724 ref 11083 remove varTerm 11084 def appTerm 11085 def betaConv nil 749 ref 60 ref 11085 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 725 ref 219 ref 11084 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst 11086 def nil 59 ref 232 ref 8742 ref appTerm 8742 ref appTerm 11087 def nil cons cons 11088 def 60 ref 8820 remove 8806 remove appTerm 11089 def nil cons cons nil cons 11090 def cons nil cons cons 152 ref subst proveHyp 10752 remove nil 10943 remove 60 ref 8740 remove cons nil cons 11091 def cons nil cons cons 152 ref subst proveHyp 712 ref assume eqMp nil 59 ref 10947 remove 712 remove appTerm nil cons cons 11090 remove cons nil cons cons 132 ref subst proveHyp nil "_16649" 214 ref var 11092 def 730 ref cons "_16648" 214 ref var 11093 def 244 ref cons "_16647" 214 ref var 11094 def 8830 ref cons "_16646" 214 ref var 11095 def 8830 remove cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 11095 ref varTerm 11096 def appTerm 11097 def 11094 ref varTerm 11098 def appTerm 11099 def appTerm 11100 def appTerm 11101 def 1237 ref 232 ref 11093 ref varTerm 11102 def appTerm 11103 def 11092 ref varTerm 11104 def appTerm 11105 def appTerm 11106 def appTerm nil cons cons 1648 ref 232 ref 4444 ref 11096 ref appTerm 11107 def 11102 ref appTerm appTerm 11108 def 4444 ref 11098 ref appTerm 11109 def 11104 ref appTerm appTerm 11110 def nil cons 11111 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 11106 remove nil cons 11112 def cons 1648 ref 11100 remove nil cons 11113 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 11099 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 11105 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 11110 remove refl appThm trans 11101 ref refl nil 60 ref 11111 ref cons 11114 def 59 ref 11112 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 11112 ref cons 11114 remove 59 ref 11113 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 11113 remove cons 1708 ref 11112 remove cons 1792 ref 11111 remove cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 1337 ref 11101 ref 1237 ref 11103 remove 3001 ref appTerm appTerm appTerm appTerm 11108 remove 11109 remove 3001 ref appTerm 11115 def appTerm appTerm absTerm 11116 def 11104 ref appTerm 11117 def betaConv 307 ref 705 ref 3000 ref 1337 ref 11101 remove 10784 ref appTerm appTerm 232 ref 11107 remove 320 ref appTerm appTerm 11118 def 11115 remove appTerm appTerm absTerm appTerm absTerm 11119 def 11102 ref appTerm 11120 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 1337 ref 1337 ref 1237 ref 11097 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 11118 remove 4599 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 11121 def 11098 ref appTerm 11122 def betaConv 10792 ref 11096 ref appTerm 11123 def betaConv 10795 ref nil 10796 ref 60 ref 11123 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 10797 ref 219 ref 11096 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11121 ref appTerm nil cons cons 60 ref 11122 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11121 remove nil cons cons 219 ref 11098 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11119 ref appTerm nil cons cons 60 ref 11120 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11119 remove nil cons cons 219 ref 11102 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11116 ref appTerm nil cons cons 60 ref 11117 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11116 remove nil cons cons 219 ref 11104 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp 11124 def subst eqMp eqMp nil 59 ref 70 ref 11087 remove appTerm 11125 def 11089 remove appTerm nil cons cons 60 ref 232 ref 8804 ref appTerm 11126 def 8807 remove appTerm nil cons 11127 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 11092 remove 11028 remove cons 11093 remove 8828 ref cons 11094 remove 10946 ref cons 11095 remove 10946 ref cons nil cons cons cons cons nil cons cons 11124 remove subst eqMp nil 59 ref 11127 remove cons 11036 remove cons nil cons cons 132 ref subst proveHyp nil "_16653" 214 ref var 11128 def 11029 ref cons "_16652" 214 ref var 11129 def 8804 ref nil cons 11130 def cons nil cons cons nil cons cons nil 1642 ref 1237 ref 232 ref 11129 remove varTerm 11131 def appTerm 11132 def 11128 remove varTerm 11133 def appTerm 11134 def appTerm nil cons 11135 def cons 1648 ref 232 ref 11133 ref appTerm 11131 ref appTerm 11136 def nil cons 11137 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 11134 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 11136 remove refl appThm trans nil 60 ref 11137 remove cons 59 ref 11135 remove cons nil cons cons nil cons cons 1724 ref subst 307 ref 1337 ref 1237 ref 11132 remove 320 ref appTerm appTerm appTerm 716 ref 11131 ref appTerm appTerm absTerm 11138 def 11133 ref appTerm 11139 def betaConv 10841 ref 11131 ref appTerm 11140 def betaConv 10856 ref nil 10857 ref 60 ref 11140 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 10858 ref 219 ref 11131 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11138 ref appTerm nil cons cons 60 ref 11139 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11138 remove nil cons cons 219 ref 11133 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 11037 remove 1330 ref cons nil cons cons 132 ref subst proveHyp 11038 remove 1613 ref subst 11039 remove assume eqMp eqMp eqMp nil 10860 ref 1614 ref cons nil cons cons 123 ref subst 11141 def deductAntisym eqMp eqMp eqMp nil 10862 ref 109 ref 11078 remove cons nil cons 11142 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10866 ref 109 ref 11076 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 11040 remove cons 11143 def 109 ref 11074 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10868 ref 109 ref 11072 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 9090 ref 109 ref 11070 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10869 ref 109 ref 11068 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 11056 ref appTerm nil cons cons 60 ref 11057 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11056 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11055 remove nil cons cons 60 ref 11054 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11053 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 11143 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp 242 ref 243 ref 8805 ref nil cons cons 219 ref 11029 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 8805 remove appTerm nil cons cons 60 ref 8268 ref 8804 remove appTerm nil cons 11144 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 11130 ref cons 8831 ref cons nil cons cons 6311 ref subst eqMp nil 59 ref 11144 remove cons 60 ref 11126 remove 8800 ref appTerm 11145 def nil cons 11146 def cons nil cons 11147 def cons nil cons cons 152 ref subst proveHyp nil 59 ref 11146 remove cons 11148 def nil cons nil cons cons 11149 def 1252 ref subst sym nil 59 ref 1237 ref 11145 remove appTerm 11150 def nil cons 11151 def cons 11152 def 1330 ref cons nil cons cons 11153 def 81 ref subst 11153 remove 152 ref subst 10638 remove 10653 remove 10656 remove nil 11152 ref 10664 remove cons nil cons cons 132 ref subst nil 10672 ref 60 ref 64 ref 11150 ref appTerm 11154 def 10663 remove appTerm 11155 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8749 ref 60 ref 10675 ref 11155 remove appTerm 11156 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8741 ref 60 ref 8819 ref 11156 remove appTerm 11157 def nil cons cons nil cons cons nil cons cons 132 ref subst 219 ref 10678 ref 11157 remove appTerm absTerm 11158 def 233 ref appTerm 11159 def betaConv 307 ref 705 ref 11158 ref appTerm 11160 def absTerm 11161 def 320 ref appTerm 11162 def betaConv 706 ref 307 ref 706 ref 219 ref 10684 ref 10685 ref 10686 ref 11154 ref refl 10693 remove appThm appThm appThm appThm absThm appThm absThm appThm sym nil 243 ref 307 ref 705 ref 219 ref 10678 ref 8819 ref 10675 ref 11154 remove 10696 remove appTerm 11163 def appTerm 11164 def appTerm 11165 def appTerm 11166 def absTerm 11167 def appTerm 11168 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 11168 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 11167 remove nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 11166 remove nil cons cons nil cons nil cons cons 101 ref subst nil 8741 ref 60 ref 11165 remove nil cons 11169 def cons nil cons cons nil cons cons 11170 def 81 ref subst 11170 remove 152 ref subst nil 8749 ref 60 ref 11164 remove nil cons 11171 def cons nil cons cons nil cons cons 11172 def 81 ref subst 11172 remove 152 ref subst nil 10672 ref 60 ref 11163 remove nil cons 11173 def cons nil cons cons nil cons cons 11174 def 81 ref subst 11174 remove 152 ref subst nil 11152 remove 10719 remove cons nil cons cons 11175 def 81 ref subst 11175 remove 152 ref subst 10723 remove 10724 remove 10727 remove 10728 remove 10692 remove 10729 remove 10730 remove 11086 remove nil 11088 remove 8825 remove cons nil cons cons 152 ref subst proveHyp 8826 remove 132 ref subst nil "_16644" 214 ref var 11176 def 244 ref cons nil cons nil cons cons nil 1642 ref 232 ref 11176 remove varTerm 11177 def appTerm 4236 ref appTerm 11178 def nil cons 11179 def cons 1648 ref 232 ref 4444 ref 8266 remove 11177 ref appTerm appTerm 11177 ref appTerm appTerm 6681 ref appTerm 11180 def nil cons 11181 def cons nil cons cons nil cons cons 1705 ref subst 63 ref 1337 ref 11178 remove appTerm 11180 remove appTerm 11182 def appTerm refl nil 60 ref 11179 remove cons 59 ref 11181 remove cons nil cons cons nil cons cons 1724 ref subst appThm nil 198 ref 11182 remove nil cons cons nil cons nil cons cons 635 ref subst trans sym 100 ref eqMp 10741 remove 11177 ref appTerm 11183 def betaConv 10744 remove nil 10745 remove 60 ref 11183 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 10746 remove 219 ref 11177 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp eqMp nil 59 ref 11125 remove 8821 remove appTerm nil cons cons 11147 remove cons nil cons cons 132 ref subst proveHyp nil "_16643" 214 ref var 11184 def 6685 ref cons "_16642" 214 ref var 11185 def 8828 remove cons "_16641" 214 ref var 11186 def 10946 ref cons "_16640" 214 ref var 11187 def 10946 ref cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 11187 remove varTerm 11188 def appTerm 11189 def 11186 remove varTerm 11190 def appTerm 11191 def appTerm 11192 def appTerm 11193 def 1237 ref 232 ref 11185 remove varTerm 11194 def appTerm 11195 def 11184 remove varTerm 11196 def appTerm 11197 def appTerm 11198 def appTerm nil cons cons 1648 ref 232 ref 4444 ref 11188 ref appTerm 11199 def 11194 ref appTerm appTerm 11200 def 4444 ref 11190 ref appTerm 11201 def 11196 ref appTerm appTerm 11202 def nil cons 11203 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 11198 remove nil cons 11204 def cons 1648 ref 11192 remove nil cons 11205 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 11191 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 11197 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 11202 remove refl appThm trans 11193 ref refl nil 60 ref 11203 ref cons 11206 def 59 ref 11204 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 11204 ref cons 11206 remove 59 ref 11205 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 11205 remove cons 1708 ref 11204 remove cons 1792 ref 11203 remove cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 1337 ref 11193 ref 1237 ref 11195 remove 3001 ref appTerm appTerm appTerm appTerm 11200 remove 11201 remove 3001 ref appTerm 11207 def appTerm appTerm absTerm 11208 def 11196 ref appTerm 11209 def betaConv 307 ref 705 ref 3000 ref 1337 ref 11193 remove 10784 ref appTerm appTerm 232 ref 11199 remove 320 ref appTerm appTerm 11210 def 11207 remove appTerm appTerm absTerm appTerm absTerm 11211 def 11194 ref appTerm 11212 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 1337 ref 1337 ref 1237 ref 11189 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 11210 remove 4599 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 11213 def 11190 ref appTerm 11214 def betaConv 10792 ref 11188 ref appTerm 11215 def betaConv 10795 ref nil 10796 ref 60 ref 11215 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 10797 ref 219 ref 11188 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11213 ref appTerm nil cons cons 60 ref 11214 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11213 remove nil cons cons 219 ref 11190 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11211 ref appTerm nil cons cons 60 ref 11212 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11211 remove nil cons cons 219 ref 11194 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11208 ref appTerm nil cons cons 60 ref 11209 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11208 remove nil cons cons 219 ref 11196 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 11148 remove 1330 ref cons nil cons cons 132 ref subst proveHyp 11149 remove 1613 ref subst 11150 remove assume eqMp eqMp eqMp 10859 remove deductAntisym eqMp eqMp eqMp 10861 remove deductAntisym eqMp eqMp 10863 remove deductAntisym eqMp eqMp nil 107 ref 11151 remove cons 11216 def 10865 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10868 ref 109 ref 11173 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 9090 ref 109 ref 11171 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10869 ref 109 ref 11169 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 11161 ref appTerm nil cons cons 60 ref 11162 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11161 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11160 remove nil cons cons 60 ref 11159 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11158 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 11216 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp 242 ref 243 ref 8801 ref nil cons cons 219 ref 11130 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 8801 remove appTerm nil cons cons 60 ref 8268 remove 8800 ref appTerm nil cons 11217 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 8800 ref nil cons 11218 def cons 8831 ref cons nil cons cons 6311 ref subst eqMp nil 59 ref 11217 remove cons 60 ref 232 ref 8800 remove appTerm 11219 def 8742 ref appTerm 11220 def nil cons 11221 def cons nil cons 11222 def cons nil cons cons 152 ref subst proveHyp nil 59 ref 11221 remove cons 11223 def nil cons nil cons cons 11224 def 1252 ref subst sym nil 59 ref 1237 ref 11220 remove appTerm 11225 def nil cons 11226 def cons 11227 def 1330 ref cons nil cons cons 11228 def 81 ref subst 11228 remove 152 ref subst 6339 ref nil 10885 ref 1330 ref cons nil cons cons 11229 def 132 ref subst proveHyp 6696 ref nil 10661 ref 60 ref 10887 ref 1241 ref appTerm 11230 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1096 ref nil 1098 ref 60 ref 10665 ref 11230 remove appTerm 11231 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 11227 ref 60 ref 6292 ref 11231 remove appTerm 11232 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 10672 ref 60 ref 64 ref 11225 ref appTerm 11233 def 11232 remove appTerm 11234 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8749 ref 60 ref 10675 ref 11234 remove appTerm 11235 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8741 ref 60 ref 8819 ref 11235 remove appTerm 11236 def nil cons cons nil cons cons nil cons cons 132 ref subst 219 ref 10678 ref 11236 remove appTerm absTerm 11237 def 233 ref appTerm 11238 def betaConv 307 ref 705 ref 11237 ref appTerm 11239 def absTerm 11240 def 320 ref appTerm 11241 def betaConv 706 ref 307 ref 706 ref 219 ref 10684 ref 10685 remove 10686 ref 11233 ref refl 10688 ref 10689 ref nil 94 ref 10884 remove cons nil cons nil cons cons 1246 ref subst 11242 def appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm sym nil 243 ref 307 ref 705 ref 219 ref 10678 ref 8819 remove 10675 ref 11233 remove 6292 ref 10665 ref 1237 ref 10883 remove appTerm 11243 def appTerm 11244 def appTerm 11245 def appTerm 11246 def appTerm 11247 def appTerm 11248 def appTerm 11249 def absTerm 11250 def appTerm 11251 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 11251 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 11250 remove nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 11249 remove nil cons cons nil cons nil cons cons 101 ref subst nil 8741 ref 60 ref 11248 remove nil cons 11252 def cons nil cons cons nil cons cons 11253 def 81 ref subst 11253 remove 152 ref subst nil 8749 ref 60 ref 11247 remove nil cons 11254 def cons nil cons cons nil cons cons 11255 def 81 ref subst 11255 remove 152 ref subst nil 10672 ref 60 ref 11246 remove nil cons 11256 def cons nil cons cons nil cons cons 11257 def 81 ref subst 11257 remove 152 ref subst nil 11227 remove 60 ref 11245 remove nil cons 11258 def cons nil cons cons nil cons cons 11259 def 81 ref subst 11259 remove 152 ref subst nil 1098 ref 60 ref 11244 remove nil cons 11260 def cons nil cons cons nil cons cons 11261 def 81 ref subst 11261 remove 152 ref subst nil 10661 ref 60 ref 11243 remove nil cons 11262 def cons nil cons cons nil cons cons 11263 def 81 ref subst 11263 remove 152 ref subst 11242 remove 11229 ref 81 ref subst 11229 remove 152 ref subst nil "_16638" 214 ref var 11264 def 6685 ref cons "_16637" 214 ref var 11265 def 10946 ref cons nil cons cons nil cons cons 307 ref 232 ref 4444 ref 11265 remove varTerm 11266 def appTerm 320 ref appTerm appTerm 4588 ref 11266 ref appTerm appTerm absTerm 11267 def 11264 remove varTerm 11268 def appTerm 11269 def betaConv 6337 ref 11266 ref appTerm 11270 def betaConv nil 10885 ref 60 ref 11270 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 6338 ref 219 ref 11266 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11267 ref appTerm nil cons cons 60 ref 11269 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11267 remove nil cons cons 219 ref 11268 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 11219 remove 6682 remove 8742 ref appTerm 11271 def appTerm 11272 def nil cons cons 60 ref 232 ref 11271 ref appTerm 8742 remove appTerm 11273 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_16636" 214 ref var 11274 def 10946 ref cons nil cons nil cons cons 10658 ref 11274 remove varTerm 11275 def appTerm 11276 def betaConv nil 10661 ref 60 ref 11276 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 10802 ref 219 ref 11275 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 70 ref 11272 remove appTerm 11273 remove appTerm nil cons cons 11222 remove cons nil cons cons 132 ref subst proveHyp nil "_16635" 214 ref var 11277 def 10946 ref cons "_16634" 214 ref var 11278 def 11271 remove nil cons cons "_16633" 214 ref var 11279 def 11218 ref cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 11279 remove varTerm 11280 def appTerm 11281 def 11278 remove varTerm 11282 def appTerm 11283 def appTerm 11284 def appTerm 11285 def 1237 ref 232 ref 11282 ref appTerm 11286 def 11277 remove varTerm 11287 def appTerm 11288 def appTerm 11289 def appTerm nil cons cons 1648 ref 11281 ref 11287 ref appTerm 11290 def nil cons 11291 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 11289 remove nil cons 11292 def cons 1648 ref 11284 remove nil cons 11293 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 11283 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 11288 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 11290 remove refl appThm trans 11285 ref refl nil 60 ref 11291 ref cons 11294 def 59 ref 11292 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 11292 ref cons 11294 remove 59 ref 11293 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 11293 remove cons 1708 ref 11292 remove cons 1792 ref 11291 remove cons nil cons cons cons nil cons cons 2701 ref subst 756 ref 1337 ref 11285 remove 1237 ref 11286 remove 758 ref appTerm appTerm appTerm appTerm 11281 ref 758 ref appTerm 11295 def appTerm absTerm 11296 def 11287 ref appTerm 11297 def betaConv 307 ref 705 ref 756 ref 1337 ref 1337 ref 1237 ref 11281 remove 320 ref appTerm appTerm appTerm 8785 ref appTerm appTerm 11295 remove appTerm absTerm appTerm absTerm 11298 def 11282 ref appTerm 11299 def betaConv 8789 ref 11280 ref appTerm 11300 def betaConv 8791 ref nil 8792 ref 60 ref 11300 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 8793 ref 219 ref 11280 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11298 ref appTerm nil cons cons 60 ref 11299 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11298 remove nil cons cons 219 ref 11282 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11296 ref appTerm nil cons cons 60 ref 11297 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11296 remove nil cons cons 219 ref 11287 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 11223 remove 1330 ref cons nil cons cons 132 ref subst proveHyp 11224 remove 1613 ref subst 11225 remove assume eqMp eqMp eqMp nil 11031 ref 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 10864 ref 109 ref 11262 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 6308 ref 109 ref 11260 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 11226 remove cons 11301 def 109 ref 11258 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10868 ref 109 ref 11256 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 9090 ref 109 ref 11254 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10869 ref 109 ref 11252 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 11240 ref appTerm nil cons cons 60 ref 11241 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11240 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11239 remove nil cons cons 60 ref 11238 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11237 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 11301 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp 242 ref 243 ref 8798 ref nil cons cons 219 ref 11218 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 8798 remove appTerm nil cons cons 8744 ref cons nil cons cons 132 ref subst proveHyp nil 756 ref 10946 remove cons 8831 ref cons nil cons cons 6311 ref subst eqMp proveHyp eqMp nil 9090 ref 109 ref 8743 ref cons nil cons 11302 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 8794 ref 8744 remove cons nil cons cons 11303 def 81 ref subst 11303 remove 152 ref subst nil 8754 remove nil cons nil cons cons 11304 def 1252 ref subst sym nil 10672 ref 1330 ref cons nil cons cons 11305 def 81 ref subst 11305 remove 152 ref subst 8757 remove 807 ref nil 809 ref 60 ref 6292 ref 1241 ref appTerm 11306 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 10672 ref 60 ref 10668 ref 11306 remove appTerm 11307 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8794 ref 60 ref 10675 ref 11307 remove appTerm 11308 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 8741 ref 60 ref 64 ref 8746 ref appTerm 11309 def 11308 remove appTerm 11310 def nil cons cons nil cons cons nil cons cons 132 ref subst 219 ref 10678 ref 11310 remove appTerm absTerm 11311 def 233 ref appTerm 11312 def betaConv 307 ref 705 ref 11311 ref appTerm 11313 def absTerm 11314 def 320 ref appTerm 11315 def betaConv 706 ref 307 ref 706 ref 219 ref 10684 remove 11309 ref refl 10686 remove 10687 ref nil 94 ref 1097 remove cons nil cons nil cons cons 1246 ref subst 11316 def appThm appThm appThm appThm absThm appThm absThm appThm sym nil 243 ref 307 ref 705 ref 219 ref 10678 remove 11309 remove 10675 remove 10668 ref 1237 ref 768 remove appTerm 11317 def appTerm 11318 def appTerm 11319 def appTerm 11320 def appTerm 11321 def absTerm 11322 def appTerm 11323 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 11323 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 11322 remove nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 11321 remove nil cons cons nil cons nil cons cons 101 ref subst nil 8741 ref 60 ref 11320 remove nil cons 11324 def cons nil cons cons nil cons cons 11325 def 81 ref subst 11325 remove 152 ref subst nil 8794 remove 60 ref 11319 remove nil cons 11326 def cons nil cons cons nil cons cons 11327 def 81 ref subst 11327 remove 152 ref subst nil 10672 remove 60 ref 11318 remove nil cons 11328 def cons nil cons cons nil cons cons 11329 def 81 ref subst 11329 remove 152 ref subst nil 809 ref 60 ref 11317 remove nil cons 11330 def cons nil cons cons nil cons cons 11331 def 81 ref subst 11331 remove 152 ref subst 11316 remove 8758 remove 8759 remove 10844 remove 132 ref subst nil "_16625" 214 ref var 11332 def 730 ref cons "_16624" 214 ref var 11333 def 244 ref cons nil cons cons nil cons cons nil 1642 ref 1237 ref 232 ref 11333 remove varTerm 11334 def appTerm 11335 def 11332 remove varTerm 11336 def appTerm 11337 def appTerm nil cons 11338 def cons 1648 ref 232 ref 11336 ref appTerm 11334 ref appTerm 11339 def nil cons 11340 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 11337 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 11339 remove refl appThm trans nil 60 ref 11340 remove cons 59 ref 11338 remove cons nil cons cons nil cons cons 1724 ref subst 307 ref 1337 ref 1237 ref 11335 remove 320 ref appTerm appTerm appTerm 716 ref 11334 ref appTerm appTerm absTerm 11341 def 11336 ref appTerm 11342 def betaConv 10841 ref 11334 ref appTerm 11343 def betaConv 10856 ref nil 10857 ref 60 ref 11343 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 10858 ref 219 ref 11334 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11341 ref appTerm nil cons cons 60 ref 11342 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11341 remove nil cons cons 219 ref 11336 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 10843 remove cons 8763 ref cons nil cons cons 152 ref subst proveHyp 10621 remove eqMp nil 59 ref 70 ref 750 remove appTerm 8746 ref appTerm nil cons cons 8760 remove cons nil cons cons 132 ref subst proveHyp nil "_16621" 214 ref var 11344 def 4240 ref cons "_16620" 214 ref var 11345 def 244 ref cons "_16619" 214 ref var 11346 def 730 ref cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 11346 remove varTerm 11347 def appTerm 11348 def 11345 remove varTerm 11349 def appTerm 11350 def appTerm 11351 def appTerm 11352 def 1237 ref 232 ref 11349 ref appTerm 11353 def 11344 remove varTerm 11354 def appTerm 11355 def appTerm 11356 def appTerm nil cons cons 1648 ref 11348 ref 11354 ref appTerm 11357 def nil cons 11358 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 11356 remove nil cons 11359 def cons 1648 ref 11351 remove nil cons 11360 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 11350 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 11355 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 11357 remove refl appThm trans 11352 ref refl nil 60 ref 11358 ref cons 11361 def 59 ref 11359 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 11359 ref cons 11361 remove 59 ref 11360 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 11360 remove cons 1708 ref 11359 remove cons 1792 ref 11358 remove cons nil cons cons cons nil cons cons 2701 ref subst 756 ref 1337 ref 11352 remove 1237 ref 11353 remove 758 ref appTerm appTerm appTerm appTerm 11348 ref 758 ref appTerm 11362 def appTerm absTerm 11363 def 11354 ref appTerm 11364 def betaConv 307 ref 705 ref 756 ref 1337 ref 1337 ref 1237 ref 11348 remove 320 ref appTerm appTerm appTerm 8785 ref appTerm appTerm 11362 remove appTerm absTerm appTerm absTerm 11365 def 11349 ref appTerm 11366 def betaConv 8789 ref 11347 ref appTerm 11367 def betaConv 8791 ref nil 8792 ref 60 ref 11367 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 8793 ref 219 ref 11347 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11365 ref appTerm nil cons cons 60 ref 11366 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11365 remove nil cons cons 219 ref 11349 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 11363 ref appTerm nil cons cons 60 ref 11364 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11363 remove nil cons cons 219 ref 11354 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp 8755 remove 132 ref subst proveHyp 11304 remove 1613 ref subst 10670 remove assume eqMp eqMp eqMp 8796 remove deductAntisym eqMp eqMp eqMp nil 10866 ref 109 ref 11330 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10868 ref 109 ref 11328 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 9499 ref 109 ref 11326 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10869 ref 109 ref 11324 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 11314 ref appTerm nil cons cons 60 ref 11315 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11314 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11313 remove nil cons cons 60 ref 11312 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 11311 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 10868 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp 3390 ref 9491 ref 10624 remove trans appThm 3026 ref 9491 ref subst 9498 ref nil 94 ref 8752 remove cons nil cons nil cons cons 101 ref subst 8761 remove eqMp appThm 9501 ref appThm 310 ref 8263 ref 320 ref appTerm appTerm 11368 def refl appThm nil 9503 ref 11368 remove nil cons cons 9504 ref cons nil cons cons 10623 ref subst trans trans appThm 8710 ref 745 ref subst 11369 def trans sym 100 ref eqMp proveHyp eqMp nil 9499 ref 11302 ref cons nil cons cons 123 ref subst deductAntisym eqMp 10627 remove nil 9499 remove 10628 remove 1422 ref 8743 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp nil 10869 remove 11302 remove cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp nil 59 ref 8739 remove cons 60 ref 8736 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 8737 remove 123 ref subst eqMp nil 59 ref 70 ref 8738 remove appTerm 8716 remove appTerm nil cons cons 8726 remove cons nil cons cons 132 ref subst proveHyp nil 3342 remove 307 ref 8715 remove nil cons cons 8831 remove cons cons nil cons cons 1095 remove subst eqMp eqMp nil 107 ref 8733 remove cons 11370 def 109 ref 8725 ref cons nil cons 11371 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 8730 remove cons 11371 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 8729 remove appTerm nil cons cons 60 ref 64 ref 8722 ref appTerm 8269 ref appTerm nil cons 11372 def cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 8721 remove nil cons cons 11373 def 11371 remove cons nil cons cons 1090 ref subst eqMp nil 59 ref 11372 remove cons 60 ref 64 ref 8269 remove appTerm 8722 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 8725 ref cons 11374 def 60 ref 8724 ref cons nil cons 11375 def cons nil cons cons 11376 def 81 ref subst 11376 remove 152 ref subst nil 11374 remove 60 ref 3358 remove cons nil cons 11377 def cons nil cons cons 152 ref subst 3357 ref eqMp nil 59 ref 8270 remove 723 ref appTerm nil cons cons 11375 ref cons nil cons cons 132 ref subst proveHyp nil 3362 remove nil cons cons nil 8734 remove 11375 remove cons nil cons cons 11378 def 81 ref subst 11378 remove 152 ref subst 8732 remove sym 8720 remove assume eqMp 242 ref 11373 remove 3285 remove cons nil cons cons 279 ref subst proveHyp eqMp nil 11370 remove 109 ref 8724 remove cons nil cons 11379 def cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 107 ref 8725 remove cons 11379 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm appThm trans eqMp eqMp 11380 def subst 8516 ref 4248 ref appThm trans appThm 4248 ref appThm trans 3390 ref 8710 remove 9491 remove subst 9498 remove 11369 ref appThm 9501 ref appThm 310 remove 8263 remove 4236 ref appTerm appTerm 11381 def refl appThm nil 9503 remove 11381 remove nil cons cons 9504 remove cons nil cons cons 10623 remove subst trans trans appThm 9501 remove appThm 11369 remove trans sym 100 ref eqMp eqMp 11382 def trans appThm 8638 ref appThm appThm 8515 ref 8516 ref 8517 ref 6392 ref 8375 ref refl 684 ref 8685 remove appThm 11383 def 8672 ref appThm appThm absThm appThm 11384 def 8708 remove trans appThm 11382 ref trans appThm appThm nil 8402 ref 8404 ref cons 8405 ref cons nil cons cons 8624 ref subst 11385 def trans appThm 8401 ref appThm nil 293 ref 8404 remove cons nil cons nil cons cons 4031 remove subst 11386 def trans sym 100 ref eqMp eqMp nil 8399 ref 109 ref 8679 remove cons nil cons 11387 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 107 ref 8677 remove cons 11387 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 8423 ref 8662 ref cons nil cons cons 123 ref subst 11388 def deductAntisym eqMp 1890 ref 8382 remove appTerm 11389 def betaConv 1893 ref nil 1894 ref 60 ref 11389 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1895 ref 198 ref 8422 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 8423 remove 109 ref 8392 remove cons 1422 ref 8389 remove cons nil cons 11390 def cons cons nil cons cons 1437 ref subst proveHyp 11391 def proveHyp proveHyp eqMp nil 107 ref 8363 ref cons 8662 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 8683 remove 8390 remove cons nil cons cons 11392 def 81 ref subst 11392 remove 152 ref subst 8395 remove 8396 remove 651 ref 690 ref 11383 remove 8671 remove appThm appThm 11393 def 8366 ref refl appThm appThm 3773 ref 8397 ref 8688 remove 8603 remove appThm 8687 remove 550 ref subst trans appThm 8401 ref appThm 8397 ref 8686 remove appThm 3820 ref 8516 ref 8689 remove appThm appThm 8638 ref appThm appThm 8515 ref 8516 ref 11384 remove appThm appThm appThm appThm nil 8402 ref 8246 ref 8369 remove 468 remove appTerm appTerm 301 ref 8273 ref 8274 ref 6392 ref 8375 remove 8371 remove appTerm absTerm appTerm appTerm 11394 def appTerm 4188 ref appTerm appTerm 8251 ref 11394 remove appTerm appTerm nil cons cons 8405 ref cons nil cons cons 8624 remove subst trans appThm 11395 def 8425 remove appThm appThm sym nil 59 ref 365 ref 8682 remove appTerm 11396 def 8366 remove appTerm 11397 def nil cons 11398 def cons 60 ref 373 ref 8252 ref appTerm 11399 def 8388 remove appTerm 11400 def nil cons 11401 def cons nil cons 11402 def cons nil cons cons 11403 def 81 ref subst 11403 remove 152 ref subst 11396 ref refl 8432 remove appThm 11397 remove assume eqMp nil 59 ref 11396 ref 477 remove appTerm nil cons cons 11402 ref cons nil cons cons 132 ref subst proveHyp 651 ref nil 8634 remove 8513 remove 8636 remove cons cons nil cons cons 3572 ref subst appThm 11400 remove refl appThm sym nil 59 ref 8386 remove 465 ref appTerm 11404 def nil cons 11405 def cons 11402 remove cons nil cons cons 11406 def 81 ref subst 11406 remove 152 ref subst 11399 remove refl 8397 ref 6892 ref 11404 remove assume 11407 def appThm 465 remove refl appThm 8561 ref 7162 remove subst trans appThm 3820 ref 8516 ref 8517 ref 6392 ref 8381 remove refl 684 ref 11407 ref appThm 8672 remove appThm appThm absThm appThm 8561 remove 8707 remove subst 11408 def trans appThm 11382 ref trans appThm 8638 remove appThm appThm 8515 remove 8516 remove 8517 ref 6392 ref 690 ref 11407 remove appThm 8609 remove appThm absThm appThm 11408 remove trans appThm 11382 remove trans appThm appThm 11385 remove trans appThm 11386 ref trans sym 100 ref eqMp eqMp nil 107 ref 11405 remove cons 109 ref 11401 remove cons nil cons 11409 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 107 ref 11398 remove cons 11409 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp 8663 remove deductAntisym eqMp 8665 remove 8666 remove 651 ref 11393 remove 8669 remove appThm appThm 11395 remove 8674 remove appThm appThm sym 64 ref 11396 remove 8675 remove appTerm 11410 def appTerm refl 11386 remove appThm nil 94 ref 11410 remove nil cons cons nil cons nil cons cons 1696 ref subst trans sym 100 ref eqMp eqMp eqMp 11388 remove deductAntisym eqMp 11391 remove proveHyp proveHyp eqMp nil 8399 ref 8662 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1890 remove 8362 remove appTerm 11411 def betaConv 1893 remove nil 1894 remove 60 ref 11411 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1895 remove 198 ref 8398 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 8399 remove 109 ref 8363 remove cons 11390 remove cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 291 ref 8324 remove appTerm nil cons cons 60 ref 8325 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 8327 remove cons 388 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8323 remove nil cons cons 60 ref 8322 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 8321 remove nil cons cons 3650 remove cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 8318 remove cons 60 ref 8314 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 8316 remove 123 ref subst eqMp nil 59 ref 70 ref 8317 remove appTerm 8292 remove appTerm nil cons cons 8304 remove cons nil cons cons 132 ref subst proveHyp nil 3963 remove 294 ref 8291 remove nil cons cons 293 ref 8280 remove cons nil cons cons cons nil cons cons 3964 remove subst eqMp eqMp nil 107 ref 8311 remove cons 11412 def 109 ref 8303 ref cons nil cons 11413 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 8308 remove cons 11413 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 ref 8307 remove appTerm nil cons cons 60 ref 64 ref 8299 ref appTerm 8283 ref appTerm nil cons 11414 def cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 8298 remove nil cons cons 11415 def 11413 remove cons nil cons cons 1090 ref subst eqMp nil 59 ref 11414 remove cons 60 ref 64 ref 8283 remove appTerm 8299 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 8303 ref cons 11416 def 60 ref 8302 ref cons nil cons 11417 def cons nil cons cons 11418 def 81 ref subst 11418 remove 152 ref subst nil 11416 remove 60 ref 4029 remove cons nil cons cons nil cons cons 152 ref subst 4030 remove eqMp nil 59 ref 8284 remove 411 remove appTerm nil cons cons 11417 ref cons nil cons cons 132 ref subst proveHyp nil 381 remove 387 remove cons nil cons nil cons cons nil 8312 remove 11417 remove cons nil cons cons 11419 def 81 ref subst 11419 remove 152 ref subst 8310 remove sym 8297 remove assume eqMp 385 ref 11415 remove 293 ref 8319 remove cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 11412 remove 109 ref 8302 remove cons nil cons 11420 def cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 107 ref 8303 remove cons 11420 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm appThm trans eqMp eqMp appThm 4213 remove appThm trans appThm 6665 remove appThm trans appThm absThm appThm 111 ref 292 ref 293 ref "_17162" 394 ref var 11421 def 64 ref 1237 ref 398 ref 11421 remove varTerm 11422 def appTerm 4215 ref appTerm appTerm appTerm 398 ref 4479 ref 8287 ref 11422 ref appTerm appTerm 11422 remove appTerm appTerm 6667 ref appTerm appTerm absTerm 11423 def 402 remove appTerm betaConv absThm appThm appThm 3998 ref 3635 ref 11423 ref 3636 ref appTerm betaConv absThm appThm appThm nil 3622 ref 11423 remove nil cons cons nil cons nil cons cons 4006 remove subst eqMp trans 111 ref 292 remove 293 ref 293 ref 64 ref 1237 ref 374 ref 4192 ref appTerm appTerm appTerm 373 ref 8279 remove appTerm 6661 ref appTerm appTerm absTerm 11424 def 354 ref appTerm betaConv absThm appThm appThm 417 ref 418 remove 417 ref 419 ref 11424 ref 422 remove appTerm betaConv absThm appThm absThm appThm appThm nil 423 remove 11424 remove nil cons cons nil cons nil cons cons 452 remove subst eqMp sym nil 659 ref 302 ref 416 ref 419 remove 64 ref 1237 ref 373 ref 4371 remove 421 remove appTerm 11425 def appTerm 4192 ref appTerm appTerm appTerm 373 ref 4463 ref 8277 ref 11425 ref appTerm appTerm 11425 remove appTerm appTerm 6661 ref appTerm appTerm absTerm appTerm 11426 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 302 ref nil 94 ref 11426 remove nil cons cons nil cons nil cons cons 101 ref subst nil 659 ref 303 ref 64 ref 1237 ref 373 ref 4372 ref appTerm 11427 def 4192 remove appTerm appTerm appTerm 373 ref 4463 ref 8277 remove 4372 ref appTerm appTerm 4372 ref appTerm appTerm 6661 remove appTerm appTerm 11428 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 303 ref nil 94 ref 11428 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref 1443 ref 11427 remove refl 4222 remove appThm nil 4421 ref 4422 remove 459 ref 3414 ref cons 460 ref 3412 ref cons nil cons cons cons cons nil cons cons 542 ref subst trans appThm appThm 3773 ref 6585 ref 8358 remove appThm 4372 ref refl 11429 def appThm appThm 6673 remove appThm appThm sym 651 ref 1443 ref 690 ref 8695 remove 4429 ref subst appThm 11430 def nil 3415 ref nil cons cons 11431 def 4313 ref subst appThm appThm appThm 373 ref 4463 ref 8246 ref 7667 ref appTerm 8252 remove appTerm 8246 remove 7665 ref appTerm 301 ref 8273 ref 8274 ref 6392 ref 6717 ref 696 ref 6400 ref appTerm appTerm absTerm 11432 def appTerm 11433 def appTerm 11434 def appTerm 4188 ref appTerm 11435 def appTerm 8251 remove 8273 ref 8274 ref 7230 ref appTerm 11436 def appTerm 11437 def appTerm 11438 def appTerm 11439 def appTerm appTerm 4372 ref appTerm appTerm 301 ref 6674 ref appTerm 4188 ref appTerm 11440 def appTerm 11441 def refl appThm sym nil 59 ref 1237 ref 7667 ref appTerm 11442 def nil cons 11443 def cons 11444 def 60 ref 11441 remove nil cons 11445 def cons nil cons cons nil cons cons 11446 def 81 ref subst 11446 remove 152 ref subst 3773 ref 6585 ref 8397 remove nil 11444 remove 60 ref 8578 remove 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 107 ref 7667 remove nil cons cons nil cons nil cons cons 1855 ref subst eqMp 11447 def appThm 8401 remove appThm 11439 ref refl appThm nil 8402 remove 11439 ref nil cons cons 8405 remove cons nil cons cons 8420 remove subst trans appThm 11429 remove appThm appThm 11440 ref refl 11448 def appThm sym 111 ref "_16972" 288 ref var 11449 def 373 ref 4463 ref 11449 remove varTerm appTerm 4372 ref appTerm appTerm 11440 ref appTerm absTerm 11450 def 11439 remove appTerm betaConv appThm 652 ref 64 ref 7665 ref appTerm 11451 def refl 11450 ref 11435 ref appTerm betaConv appThm appThm 64 ref 1237 ref 7665 ref appTerm 11452 def appTerm 11453 def refl 11450 ref 11438 ref appTerm betaConv appThm appThm appThm nil 8541 remove 11438 ref nil cons cons 8542 remove 11435 ref nil cons cons 8543 remove 7665 ref nil cons 11454 def cons nil cons cons cons nil cons cons nil 8544 remove 11450 remove nil cons cons nil cons nil cons cons 8560 remove subst subst eqMp sym nil 59 ref 11454 ref cons 11455 def 60 ref 373 ref 4463 ref 11435 remove appTerm 4372 ref appTerm appTerm 11440 ref appTerm 11456 def nil cons 11457 def cons nil cons cons nil cons cons 11458 def 81 ref subst 11458 remove 152 ref subst 3773 ref nil 453 ref 3414 ref cons 11459 def 456 ref 3412 ref cons 11460 def 4225 ref 460 ref 11434 ref nil cons 11461 def cons nil cons cons cons cons nil cons cons 4566 ref subst appThm 11448 ref appThm nil 4421 ref 456 ref 6675 remove cons 11462 def 459 ref 338 ref 4453 ref 11434 remove appTerm 11463 def 331 ref appTerm 11464 def appTerm 11465 def 6677 ref 328 ref appTerm 11466 def appTerm nil cons cons 460 ref 338 ref 11463 ref 328 ref appTerm 11467 def appTerm 11468 def 6677 remove 331 ref appTerm 11469 def appTerm nil cons 11470 def cons nil cons cons cons cons nil cons cons 542 ref subst trans sym 690 ref nil 3502 ref 11470 remove cons nil cons nil cons cons 4429 ref subst 11468 remove refl nil 3504 ref 3414 ref cons nil cons nil cons cons 6727 ref subst 11471 def appThm nil 3502 ref 11467 ref nil cons cons nil cons nil cons cons 4429 ref subst trans trans appThm 338 ref 6674 ref appTerm 11472 def refl 11473 def 11465 ref refl 11474 def nil 8699 remove nil cons cons 6727 ref subst 11475 def appThm nil 3502 ref 11464 ref nil cons 11476 def cons nil cons nil cons cons 4429 ref subst trans appThm appThm sym nil 11455 remove 60 ref 1109 ref 11432 ref appTerm nil cons 11477 def cons nil cons cons nil cons cons 132 ref subst nil 303 ref 3412 remove cons 11478 def 3415 ref cons nil cons cons 7464 ref subst eqMp nil 59 ref 11477 ref cons 11479 def 60 ref 365 ref 11467 remove appTerm 11472 ref 11464 remove appTerm 11480 def appTerm nil cons 11481 def cons nil cons 11482 def cons nil cons cons 11483 def 132 ref subst proveHyp 11483 ref 81 ref subst 11483 remove 152 ref subst 11432 ref 11433 ref appTerm 11484 def betaConv nil 11479 remove 60 ref 11484 remove nil cons cons nil cons cons nil cons cons 132 ref subst 509 ref 8459 ref 11432 remove nil cons cons nil cons nil cons cons 8509 ref subst eqMp eqMp nil 59 ref 6717 ref 696 ref 11433 ref appTerm appTerm 11485 def nil cons 11486 def cons 11482 remove cons nil cons cons 11487 def 132 ref subst proveHyp 11487 ref 81 ref subst 11487 remove 152 ref subst 690 ref 11463 ref refl 11485 remove assume 11488 def appThm appThm 11480 remove refl 11489 def appThm sym 690 ref nil 3420 ref 11433 ref nil cons 11490 def cons 302 ref 11461 remove cons nil cons cons nil cons cons 6500 ref subst appThm 11489 remove appThm sym 365 ref 11465 remove 11463 remove 11433 ref appTerm 11491 def appTerm appTerm refl nil 303 ref 11476 remove cons 6707 ref cons nil cons cons 3416 ref subst appThm sym 11474 remove nil 107 ref 365 ref 11433 ref appTerm 4188 ref appTerm 11492 def nil cons 11493 def cons 11494 def nil cons nil cons cons 7863 ref subst nil 59 ref 11493 remove cons 1330 ref cons nil cons cons 11495 def 81 ref subst 11495 remove 152 ref subst 63 ref "_16984" 285 ref var 11496 def 365 ref 696 ref 11496 remove varTerm appTerm appTerm 328 ref appTerm absTerm 11497 def 11433 remove appTerm 11498 def appTerm refl 11497 ref 4188 ref appTerm betaConv appThm 111 ref 11498 remove betaConv appThm 365 ref 696 remove 4188 ref appTerm appTerm 328 ref appTerm 11499 def refl appThm trans 11497 remove refl 11492 ref assume appThm eqMp 11488 remove sym eqMp nil 59 ref 11499 remove nil cons 11500 def cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 94 ref 11500 remove cons nil cons nil cons cons 1246 ref subst 1443 ref 690 ref nil 3502 ref 3414 ref cons nil cons nil cons cons 4429 ref subst 11501 def appThm 3031 ref appThm 1443 ref 632 remove appThm 11442 remove assume eqMp nil 59 ref 1237 ref 3526 ref 328 ref appTerm 11502 def appTerm nil cons cons 60 ref 63 ref 11502 ref appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 107 ref 11502 remove nil cons cons nil cons nil cons cons 1855 ref subst eqMp trans appThm 1372 ref trans trans sym 100 ref eqMp eqMp eqMp nil 11494 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 1237 ref 11492 remove appTerm nil cons cons 60 ref 365 ref 11491 remove appTerm 6674 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 302 ref 11490 remove cons nil cons nil cons cons 302 ref 64 ref 1237 ref 6717 remove 4188 ref appTerm appTerm appTerm 365 ref 4453 ref 8723 remove appTerm 328 ref appTerm appTerm 6674 ref appTerm appTerm absTerm 11503 def 328 ref appTerm 11504 def betaConv 11505 def 706 ref 219 ref 651 ref 1443 ref 8889 ref 2989 ref subst 715 remove refl 4248 remove appThm trans appThm appThm 8829 remove 2989 ref subst 690 ref 8832 remove 6328 ref subst 6512 ref 11380 remove appThm 4249 remove appThm trans appThm 6688 remove appThm trans appThm absThm appThm 111 ref 706 ref 219 ref "_16851" 285 ref var 11506 def 64 ref 1237 ref 365 ref 11506 remove varTerm 11507 def appTerm 4188 ref appTerm appTerm appTerm 365 ref 4453 ref 8273 remove 11507 ref appTerm appTerm 11507 remove appTerm appTerm 6674 ref appTerm appTerm absTerm 11508 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 11505 remove absThm appThm appThm nil 659 ref 11508 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans 10634 remove eqMp nil 59 ref 416 ref 11503 ref appTerm nil cons cons 60 ref 11504 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 11503 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp 11509 def subst eqMp appThm eqMp eqMp eqMp eqMp nil 107 ref 11486 remove cons 109 ref 11481 remove cons nil cons 11510 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 11477 remove cons 11510 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 107 ref 11454 ref cons 11511 def 109 ref 11457 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 11451 remove 11456 remove appTerm nil cons cons 60 ref 11453 remove 373 ref 4463 ref 11438 remove appTerm 4372 remove appTerm appTerm 11440 remove appTerm 11512 def appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 11452 remove nil cons 11513 def cons 11514 def 60 ref 11512 remove nil cons 11515 def cons nil cons cons nil cons cons 11516 def 81 ref subst 11516 remove 152 ref subst 3773 ref nil 11459 remove 11460 remove 459 ref 11437 ref nil cons 11517 def cons 4226 remove cons cons cons nil cons cons 4566 ref subst appThm 11448 remove appThm nil 4421 ref 11462 remove 459 ref 338 ref 11469 remove appTerm 4453 ref 11437 remove appTerm 11518 def 328 ref appTerm 11519 def appTerm nil cons cons 460 ref 338 ref 11466 remove appTerm 11518 ref 331 ref appTerm 11520 def appTerm nil cons 11521 def cons nil cons cons cons cons nil cons cons 542 ref subst trans sym 690 ref nil 3502 ref 11521 remove cons nil cons nil cons cons 4429 ref subst 684 ref 11475 remove appThm 11520 ref refl appThm nil 302 ref 11520 ref nil cons cons nil cons nil cons cons 4313 ref subst trans trans appThm 11473 remove 684 ref 11471 remove appThm 11519 ref refl appThm nil 302 ref 11519 ref nil cons 11522 def cons nil cons nil cons cons 4313 ref subst trans appThm appThm sym 651 ref nil 11514 remove 60 ref 63 ref 7665 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 11511 remove nil cons nil cons cons 1855 ref subst eqMp appThm 365 ref 11520 remove appTerm 11472 remove 11519 ref appTerm 11523 def appTerm 11524 def refl appThm nil 94 ref 11524 remove nil cons 11525 def cons nil cons nil cons cons 2444 ref subst trans sym 100 ref eqMp nil 59 ref 6917 ref nil cons 11526 def cons 11527 def 60 ref 11525 ref cons nil cons 11528 def cons nil cons cons 11529 def 81 ref subst 11529 remove 152 ref subst nil 11527 remove 60 ref 7231 remove nil cons 11530 def cons nil cons cons nil cons cons 132 ref subst 7464 ref eqMp nil 59 ref 11530 ref cons 11531 def 11528 ref cons nil cons cons 11532 def 132 ref subst proveHyp 11532 ref 81 ref subst 11532 remove 152 ref subst 7230 ref 11436 ref appTerm 11533 def betaConv nil 11531 remove 60 ref 11533 remove nil cons cons nil cons cons nil cons cons 132 ref subst 509 ref 8459 ref 7230 remove nil cons cons nil cons nil cons cons 8509 ref subst eqMp eqMp nil 59 ref 3526 remove 693 ref 11436 ref appTerm appTerm 11534 def nil cons 11535 def cons 11528 remove cons nil cons cons 11536 def 132 ref subst proveHyp 11536 ref 81 ref subst 11536 remove 152 ref subst 690 ref 11518 ref refl 11534 remove assume 11537 def appThm appThm 11523 remove refl 11538 def appThm sym 690 ref nil 3420 ref 11436 ref nil cons 11539 def cons 11478 ref 302 ref 11517 remove cons nil cons cons cons nil cons cons 6500 remove subst appThm 11538 remove appThm sym 365 ref 338 ref 11519 remove appTerm 11540 def 11518 remove 11436 ref appTerm 11541 def appTerm appTerm refl nil 303 ref 11522 remove cons 6707 remove cons nil cons cons 3416 ref subst appThm sym 11540 remove refl nil 107 ref 365 ref 11436 ref appTerm 4188 ref appTerm 11542 def nil cons 11543 def cons 11544 def nil cons nil cons cons 7863 ref subst nil 59 ref 11543 remove cons 1330 ref cons nil cons cons 11545 def 81 ref subst 11545 remove 152 ref subst 63 ref "_16994" 285 ref var 11546 def 365 ref 693 ref 11546 remove varTerm appTerm appTerm 331 ref appTerm absTerm 11547 def 11436 remove appTerm 11548 def appTerm refl 11547 ref 4188 ref appTerm betaConv appThm 111 ref 11548 remove betaConv appThm 365 ref 693 remove 4188 ref appTerm appTerm 331 ref appTerm 11549 def refl appThm trans 11547 remove refl 11542 ref assume appThm eqMp 11537 remove sym eqMp nil 59 ref 11549 remove nil cons 11550 def cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 94 ref 11550 remove cons nil cons nil cons cons 1246 ref subst 1443 ref 11430 remove 3032 remove appThm 11447 remove trans appThm 1372 ref trans trans sym 100 ref eqMp eqMp eqMp nil 11544 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 1237 ref 11542 remove appTerm nil cons cons 60 ref 365 ref 11541 remove appTerm 6674 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 302 ref 11539 remove cons nil cons nil cons cons 11509 remove subst eqMp appThm eqMp eqMp eqMp eqMp nil 107 ref 11535 remove cons 109 ref 11525 ref cons nil cons 11551 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 11530 remove cons 11551 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 11526 remove cons 11552 def 11551 remove cons nil cons cons 123 ref subst deductAntisym eqMp 8135 remove nil 11552 remove 109 ref 11454 remove cons 1422 ref 11525 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 107 ref 11513 remove cons 109 ref 11515 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 107 ref 11443 remove cons 109 ref 11445 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp nil 574 ref 3635 ref 64 ref 1237 ref 7790 ref 4215 ref appTerm appTerm appTerm 398 ref 4479 ref 8300 remove appTerm 3636 ref appTerm appTerm 6667 ref appTerm appTerm absTerm appTerm thm 49 ref 23 ref 49 ref 7 ref 111 ref nil 294 ref 4191 ref 34 ref appTerm 11553 def nil cons 11554 def cons 293 ref 4199 ref nil cons 11555 def cons nil cons cons nil cons cons 3651 ref subst 3626 ref 4211 ref appThm 168 ref 4211 ref subst 11556 def appThm trans appThm 4901 ref refl 11557 def appThm absThm appThm absThm appThm 49 ref 23 ref 49 ref 7 ref 111 ref 3773 ref 4919 remove 4221 ref subst 11558 def appThm 4221 ref appThm nil 4421 ref 456 ref 4186 ref 34 ref appTerm 11559 def nil cons 11560 def cons 4225 ref 460 ref 4244 ref nil cons 11561 def cons nil cons cons cons cons nil cons cons 11562 def 542 ref subst 690 ref nil 3502 ref 11561 remove cons nil cons nil cons cons 4429 ref subst 11563 def appThm nil 3502 ref 11560 ref cons nil cons nil cons cons 4429 ref subst 11564 def appThm 7 ref 63 ref 4245 remove 11559 ref appTerm appTerm 4901 ref appTerm absTerm 11565 def 34 ref appTerm 11566 def betaConv 23 ref 22 ref 11565 ref appTerm 11567 def absTerm 11568 def 31 ref appTerm 11569 def betaConv 49 ref 23 ref 49 ref 7 ref 111 ref nil 307 ref 4181 ref 34 ref appTerm 11570 def nil cons 11571 def cons 11572 def 219 ref 4182 ref nil cons cons nil cons cons nil cons cons 11573 def 2989 ref subst 690 ref 4247 ref appThm 168 remove 4247 ref subst 11574 def appThm trans appThm 11557 ref appThm absThm appThm absThm appThm nil 135 ref 23 ref 22 ref 7 ref 63 ref 4183 remove 11570 ref appTerm 11575 def appTerm 4901 ref appTerm 11576 def absTerm 11577 def appTerm 11578 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 11578 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 11577 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 11576 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 11575 ref nil cons 11579 def cons 60 ref 4901 ref nil cons 11580 def cons nil cons cons nil cons cons 1845 ref subst 651 ref 11573 ref 731 ref subst 48 ref 21 ref 49 ref 864 ref 50 ref 51 ref nil 4256 ref 137 ref cons nil cons nil cons cons 4296 ref subst 11581 def 10312 ref appThm 7 ref 3184 ref absTerm 11582 def 865 ref appTerm betaConv trans 11583 def appThm nil 4256 ref 166 ref cons nil cons nil cons cons 4296 ref subst 11584 def 10312 ref appThm 864 ref 35 ref 865 ref appTerm 11585 def absTerm 11586 def 865 ref appTerm betaConv trans 11587 def appThm appThm 739 ref appThm absThm appThm absThm appThm trans appThm 11557 ref appThm sym 651 ref 48 ref 21 ref 49 ref 864 ref 50 ref nil 10300 ref nil cons nil cons cons 11588 def 7 ref 55 ref 29 ref 3186 remove appTerm 3212 remove appTerm 11589 def appTerm 30 ref 797 remove appTerm 883 ref appTerm 11590 def appTerm 11591 def absTerm 11592 def 34 ref appTerm 11593 def betaConv 23 ref 22 ref 11592 ref appTerm 11594 def absTerm 11595 def 31 ref appTerm 11596 def betaConv 879 ref 22 ref 11595 ref appTerm 11597 def absTerm 11598 def 883 ref appTerm 11599 def betaConv 49 ref 879 ref 49 ref 23 ref 49 ref 7 ref 11591 remove assume sym 55 ref 11590 remove appTerm 11589 remove appTerm 11600 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 22 ref 879 ref 22 ref 23 ref 22 ref 7 ref 11600 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 59 ref 22 ref 11598 ref appTerm nil cons cons 60 ref 11599 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11598 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11597 remove nil cons cons 60 ref 11596 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11595 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11594 remove nil cons cons 60 ref 11593 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11592 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst appThm 739 ref appThm absThm appThm nil 4664 ref 740 ref cons 5689 ref 5732 remove cons nil cons cons nil cons cons 4664 ref 63 ref 22 ref 7 ref 26 ref 6167 remove appTerm 11601 def 4665 ref appTerm absTerm appTerm appTerm 10336 remove appTerm absTerm 11602 def 4665 ref appTerm 11603 def betaConv 5689 ref 22 ref 11602 ref appTerm 11604 def absTerm 11605 def 5760 ref appTerm 11606 def betaConv nil 22 ref 11605 ref appTerm 11607 def axiom nil 59 ref 11607 remove nil cons cons 60 ref 11606 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11605 remove nil cons cons 5922 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11604 remove nil cons cons 60 ref 11603 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11602 remove nil cons cons 5923 ref cons nil cons cons 163 ref subst eqMp eqMp subst 7 ref 63 ref 798 remove 8 ref appTerm appTerm 4901 ref appTerm absTerm 11608 def 34 ref appTerm 11609 def betaConv 23 ref 22 ref 11608 ref appTerm 11610 def absTerm 11611 def 31 ref appTerm 11612 def betaConv nil 22 ref 11611 ref appTerm 11613 def axiom nil 59 ref 11613 remove nil cons cons 60 ref 11612 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11611 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11610 remove nil cons cons 60 ref 11609 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11608 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp trans trans absThm appThm nil 94 ref 11580 ref cons nil cons nil cons cons 11614 def 208 ref subst trans appThm 11557 ref appThm 11614 remove 2485 ref subst trans sym 100 ref eqMp eqMp nil 59 ref 64 ref 11575 ref appTerm 4901 ref appTerm nil cons cons 60 ref 5858 remove 11575 remove appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 11580 ref cons 60 ref 11579 ref cons nil cons cons nil cons cons 11615 def 81 ref subst 11615 remove 152 ref subst 63 ref "_16432" 3 ref var 11616 def 232 ref 4181 ref 11616 remove varTerm appTerm appTerm 11570 ref appTerm absTerm 11617 def 31 ref appTerm 11618 def appTerm refl 11617 ref 34 ref appTerm betaConv appThm 111 ref 11618 remove betaConv appThm 232 ref 11570 ref appTerm 11570 ref appTerm 11619 def refl appThm trans 11617 remove refl 4901 ref assume appThm eqMp sym nil 219 ref 11571 ref cons nil cons 11620 def nil cons cons 3357 remove subst eqMp eqMp nil 107 ref 11580 ref cons 109 ref 11579 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 22 ref 11568 ref appTerm nil cons cons 60 ref 11569 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11568 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11567 remove nil cons cons 60 ref 11566 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11565 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp trans trans trans appThm 11557 remove appThm nil 198 ref 11580 remove cons nil cons nil cons cons 635 ref subst trans absThm appThm 203 ref trans absThm appThm 203 ref trans sym 100 ref eqMp eqMp nil 22 ref 23 ref 22 ref 7 ref 63 ref 4207 remove 4205 ref 34 ref appTerm 11621 def appTerm appTerm 4901 remove appTerm absTerm appTerm absTerm appTerm thm 49 ref 23 ref 49 ref 7 ref 111 ref nil 3652 ref 11554 remove cons 3654 ref 11555 remove cons nil cons cons nil cons cons 11622 def 7636 remove subst 8140 ref 4211 ref appThm 11556 ref appThm trans appThm 957 ref refl 11623 def appThm absThm appThm absThm appThm 49 ref 23 ref 49 ref 7 ref 111 ref 8157 remove 11558 ref appThm 4221 ref appThm 11562 ref 6890 ref subst 6892 ref 11563 remove appThm 11564 remove appThm 7 ref 63 ref 6778 ref 4244 ref appTerm 11559 ref appTerm appTerm 957 ref appTerm absTerm 11624 def 34 ref appTerm 11625 def betaConv 23 ref 22 ref 11624 ref appTerm 11626 def absTerm 11627 def 31 ref appTerm 11628 def betaConv 49 ref 23 ref 49 ref 7 ref 111 ref 11573 ref 7158 ref subst 6892 ref 4247 ref appThm 11574 ref appThm trans appThm 11623 ref appThm absThm appThm absThm appThm nil 135 ref 23 ref 22 ref 7 ref 63 ref 6768 ref 4182 ref appTerm 11570 ref appTerm 11629 def appTerm 957 ref appTerm 11630 def absTerm 11631 def appTerm 11632 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 23 ref nil 94 ref 11632 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 11631 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 11630 ref nil cons cons nil cons nil cons cons 101 ref subst 111 ref 11573 ref 6983 ref subst 48 ref 21 ref 49 ref 864 ref 50 ref 11583 ref appThm 3487 ref 11587 ref appThm 739 ref appThm 11633 def appThm absThm appThm absThm appThm trans appThm 11623 ref appThm sym 48 ref 21 ref nil 5609 ref 740 remove cons 4664 ref 166 ref cons 5689 ref 137 remove cons nil cons cons cons nil cons cons 5609 remove 63 ref 22 ref 7 ref 11601 remove 38 ref 4670 remove 34 ref appTerm appTerm 5610 ref appTerm appTerm absTerm appTerm appTerm 26 ref 5760 ref appTerm 4665 ref appTerm appTerm absTerm 11634 def 5610 remove appTerm 11635 def betaConv 4664 remove 22 ref 11634 ref appTerm 11636 def absTerm 11637 def 4665 remove appTerm 11638 def betaConv 5689 remove 22 ref 11637 ref appTerm 11639 def absTerm 11640 def 5760 remove appTerm 11641 def betaConv nil 22 ref 11640 ref appTerm 11642 def axiom nil 59 ref 11642 remove nil cons cons 60 ref 11641 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11640 remove nil cons cons 5922 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11639 remove nil cons cons 60 ref 11638 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11637 remove nil cons cons 5923 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11636 remove nil cons cons 60 ref 11635 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11634 remove nil cons cons 136 ref 5815 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst absThm appThm nil 94 ref 973 ref cons nil cons nil cons cons 208 remove subst trans eqMp eqMp absThm eqMp eqMp absThm eqMp 11643 def eqMp nil 59 ref 22 ref 11627 ref appTerm nil cons cons 60 ref 11628 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11627 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11626 remove nil cons cons 60 ref 11625 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11624 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp trans trans trans appThm 11623 remove appThm nil 198 ref 973 remove cons nil cons nil cons cons 635 ref subst trans absThm appThm 203 ref trans absThm appThm 203 ref trans sym 100 ref eqMp eqMp nil 22 ref 23 ref 22 ref 7 ref 63 ref 6793 ref 4206 ref appTerm 11621 ref appTerm appTerm 957 remove appTerm absTerm appTerm absTerm appTerm thm 49 ref 23 ref 49 ref 7 ref nil 294 ref 4191 ref 40 ref appTerm nil cons cons 293 ref 351 remove 4199 ref appTerm 11553 ref appTerm nil cons cons nil cons cons nil cons cons 3651 ref subst 3626 ref 11622 ref 3989 remove subst 4136 ref 4211 ref appThm 11556 ref appThm trans appThm 5498 ref 4211 ref subst appThm trans absThm appThm absThm appThm 49 ref 23 ref 49 ref 7 ref 3773 ref 4164 remove 11558 ref appThm 4221 ref appThm 11562 ref 3818 remove subst 3820 ref 7 ref 365 ref 338 ref 4244 ref appTerm 11559 ref appTerm appTerm 4186 ref 40 ref appTerm 11644 def appTerm absTerm 11645 def 34 ref appTerm 11646 def betaConv 23 ref 22 ref 11645 ref appTerm 11647 def absTerm 11648 def 31 ref appTerm 11649 def betaConv 49 ref 23 ref 49 ref 7 ref nil 307 ref 4181 ref 40 ref appTerm 11650 def nil cons cons 219 ref 318 ref 4182 ref appTerm 11570 ref appTerm 11651 def nil cons cons nil cons cons nil cons cons 11652 def 2989 ref subst 690 ref 11573 ref 3367 remove subst 684 ref 4247 ref appThm 11574 ref appThm trans appThm 5498 remove 4247 ref subst appThm trans absThm appThm absThm appThm 49 ref 23 ref 49 ref 7 ref 11652 remove 731 ref subst 48 ref 21 ref 49 ref 864 ref 50 ref 51 ref 11573 ref 3281 ref subst 864 ref 3487 ref 11583 remove appThm 11587 ref appThm absThm trans 10312 ref appThm 864 ref 38 ref 32 ref 865 ref appTerm appTerm 11585 ref appTerm 11653 def absTerm 865 ref appTerm betaConv trans appThm nil 4256 ref 3205 remove cons nil cons nil cons cons 4296 ref subst 10312 ref appThm 864 ref 3210 remove 865 ref appTerm absTerm 865 ref appTerm betaConv trans appThm appThm 739 ref appThm absThm appThm absThm appThm trans absThm appThm absThm appThm sym 49 ref 23 ref 49 ref 7 ref 48 ref 21 ref 49 ref 864 ref 50 ref 29 remove 11653 ref appTerm refl 11588 ref 3225 ref subst appThm nil 7 ref 11653 remove nil cons cons nil cons nil cons cons 177 ref subst trans appThm 739 ref appThm 744 ref trans absThm appThm 203 ref trans absThm appThm 209 ref trans absThm appThm 203 ref trans absThm appThm 203 ref trans sym 100 ref eqMp eqMp 11654 def eqMp nil 59 ref 22 ref 11648 ref appTerm nil cons cons 60 ref 11649 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11648 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11647 remove nil cons cons 60 ref 11646 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11645 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 11655 def appThm 4806 remove 11655 remove subst 4186 ref refl 11656 def 4819 remove appThm trans 11657 def appThm trans trans appThm 4923 ref 4221 ref subst appThm nil 4421 ref 456 ref 11644 ref nil cons 11658 def cons 4225 ref 460 ref 11658 remove cons nil cons cons cons cons nil cons cons 542 ref subst nil 302 ref 338 ref 11644 remove appTerm 4188 ref appTerm nil cons cons nil cons nil cons cons 550 ref subst trans trans absThm appThm 203 ref trans absThm appThm 203 ref trans sym 100 ref eqMp eqMp nil 22 ref 23 ref 22 ref 7 ref 398 ref 3679 ref 4206 ref appTerm 11621 ref appTerm appTerm 4205 ref 40 ref appTerm appTerm absTerm appTerm absTerm appTerm thm 49 ref 23 ref 49 ref 7 ref nil 294 remove 4191 remove 3184 ref appTerm nil cons cons 293 ref 4463 remove 4199 remove appTerm 11553 remove appTerm nil cons cons nil cons cons nil cons cons 3651 remove subst 3626 ref 11622 remove 6532 remove subst 6549 remove 4211 ref appThm 11556 remove appThm trans appThm 10083 ref 4211 remove subst appThm trans absThm appThm absThm appThm 49 ref 23 ref 49 ref 7 ref 3773 remove 6585 remove 11558 remove appThm 4221 ref appThm 11562 remove 4566 remove subst 3820 remove 684 ref 7 ref 365 ref 4453 remove 4244 remove appTerm 11559 remove appTerm appTerm 4186 remove 3184 ref appTerm 11659 def appTerm absTerm 11660 def 34 ref appTerm 11661 def betaConv 23 ref 22 ref 11660 ref appTerm 11662 def absTerm 11663 def 31 ref appTerm 11664 def betaConv 49 ref 23 ref 49 ref 7 ref nil 307 ref 4181 ref 3184 ref appTerm 11665 def nil cons cons 219 ref 4444 ref 4182 remove appTerm 11570 ref appTerm 11666 def nil cons cons nil cons cons nil cons cons 11667 def 2989 remove subst 690 ref 11573 ref 6328 remove subst 6512 remove 4247 ref appThm 11574 remove appThm trans appThm 10083 remove 4247 remove subst appThm trans absThm appThm absThm appThm 49 ref 23 ref 49 ref 7 ref 11667 remove 731 remove subst 48 ref 21 ref 49 ref 864 ref 50 ref 51 ref 11573 remove 5931 ref subst 864 ref 11581 remove 11587 remove appThm 11582 remove 11585 ref appTerm betaConv trans absThm trans 10312 ref appThm 864 ref 32 ref 11585 remove appTerm absTerm 865 ref appTerm betaConv trans appThm nil 4256 ref 5672 remove cons nil cons nil cons cons 4296 ref subst 10312 ref appThm 864 ref 5650 remove 865 ref appTerm 11668 def absTerm 865 ref appTerm betaConv trans appThm appThm 739 ref appThm absThm appThm absThm appThm trans absThm appThm absThm appThm sym 49 ref 23 ref 49 ref 7 ref 48 ref 21 ref 49 ref 864 ref 50 ref 51 remove 11588 remove 5662 remove subst appThm 11668 ref refl appThm nil 7 ref 11668 remove nil cons cons nil cons nil cons cons 177 remove subst trans appThm 739 ref appThm 744 remove trans absThm appThm 203 ref trans absThm appThm 209 ref trans absThm appThm 203 ref trans absThm appThm 203 ref trans sym 100 ref eqMp eqMp 11669 def eqMp nil 59 ref 22 ref 11663 ref appTerm nil cons cons 60 ref 11664 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11663 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11662 remove nil cons cons 60 ref 11661 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 11660 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 11670 def appThm nil 6722 remove nil cons cons 6727 ref subst appThm nil 3502 ref 11659 ref nil cons 11671 def cons nil cons nil cons cons 4429 ref subst trans appThm 684 remove 171 remove 11670 remove subst 11656 remove 164 remove appThm trans appThm nil 3504 ref 11560 remove cons nil cons nil cons cons 6727 remove subst appThm 11657 ref trans appThm trans trans appThm 10104 remove 4221 remove subst appThm nil 4421 ref 456 ref 11671 ref cons 4225 ref 460 ref 11671 remove cons nil cons cons cons cons nil cons cons 542 ref subst nil 302 ref 338 ref 11659 remove appTerm 4188 ref appTerm nil cons cons nil cons nil cons cons 550 ref subst trans trans absThm appThm 203 ref trans absThm appThm 203 ref trans sym 100 ref eqMp eqMp nil 22 ref 23 ref 22 ref 7 ref 398 ref 4479 ref 4206 remove appTerm 11621 remove appTerm appTerm 4205 remove 3184 remove appTerm appTerm absTerm appTerm absTerm appTerm thm nil 3622 ref 3635 ref 574 ref 3999 ref 398 ref "Number.Real.-" "_17164" 394 ref var 11672 def "_17165" 394 ref var 11673 def 3679 ref 11672 ref varTerm 11674 def appTerm 4334 ref 11673 ref varTerm 11675 def appTerm appTerm 11676 def absTerm 11677 def absTerm 11678 def defineConst 11679 def pop 3678 ref constTerm 11680 def 3636 ref appTerm 4000 ref appTerm appTerm 4121 ref 4334 ref 4000 ref appTerm appTerm appTerm absTerm appTerm absTerm 11681 def nil cons cons nil cons nil cons cons 3625 ref subst 11672 ref nil 94 ref 574 ref 11673 ref 398 ref 11680 ref 11674 ref appTerm 11675 ref appTerm appTerm 11676 remove appTerm 11682 def absTerm 11683 def appTerm nil cons cons nil cons nil cons cons 101 ref subst nil 3622 ref 11683 remove nil cons cons nil cons nil cons cons 3625 ref subst 11673 ref nil 94 ref 11682 remove nil cons cons nil cons nil cons cons 101 ref subst 11679 remove 11674 ref refl appThm 11678 remove 11674 remove appTerm betaConv trans 11675 ref refl appThm 11677 remove 11675 remove appTerm betaConv trans 11684 def eqMp absThm eqMp eqMp absThm eqMp nil 574 ref 11681 remove appTerm thm nil 3622 ref 3635 ref 574 ref 3999 ref 63 ref "Number.Real.<" "_17176" 394 ref var 11685 def "_17177" 394 ref var 11686 def 1237 ref 6793 ref 11686 ref varTerm 11687 def appTerm 11685 ref varTerm 11688 def appTerm appTerm 11689 def absTerm 11690 def absTerm 11691 def defineConst 11692 def pop 397 ref constTerm 11693 def 3636 ref appTerm 4000 ref appTerm appTerm 1237 ref 7788 ref appTerm appTerm absTerm appTerm absTerm 11694 def nil cons cons nil cons nil cons cons 3625 ref subst 11685 remove nil 94 ref 574 ref 11686 ref 63 ref 11693 ref 11688 ref appTerm 11687 ref appTerm appTerm 11689 remove appTerm 11695 def absTerm 11696 def appTerm nil cons cons nil cons nil cons cons 101 ref subst nil 3622 ref 11696 remove nil cons cons nil cons nil cons cons 3625 ref subst 11686 remove nil 94 ref 11695 remove nil cons cons nil cons nil cons cons 101 ref subst 11692 remove 11688 ref refl appThm 11691 remove 11688 remove appTerm betaConv trans 11687 ref refl appThm 11690 remove 11687 remove appTerm betaConv trans eqMp absThm eqMp eqMp absThm eqMp nil 574 ref 11694 remove appTerm thm nil 3622 ref 3635 ref 574 ref 3999 ref 63 ref "Number.Real.>=" "_17188" 394 ref var 11697 def "_17189" 394 ref var 11698 def 6793 ref 11698 ref varTerm 11699 def appTerm 11697 ref varTerm 11700 def appTerm 11701 def absTerm 11702 def absTerm 11703 def defineConst 11704 def pop 397 ref constTerm 11705 def 3636 ref appTerm 4000 ref appTerm appTerm 7788 remove appTerm absTerm appTerm absTerm 11706 def nil cons cons nil cons nil cons cons 3625 ref subst 11697 remove nil 94 ref 574 ref 11698 ref 63 ref 11705 remove 11700 ref appTerm 11699 ref appTerm appTerm 11701 remove appTerm 11707 def absTerm 11708 def appTerm nil cons cons nil cons nil cons cons 101 ref subst nil 3622 ref 11708 remove nil cons cons nil cons nil cons cons 3625 ref subst 11698 remove nil 94 ref 11707 remove nil cons cons nil cons nil cons cons 101 ref subst 11704 remove 11700 ref refl appThm 11703 remove 11700 remove appTerm betaConv trans 11699 ref refl appThm 11702 remove 11699 remove appTerm betaConv trans eqMp absThm eqMp eqMp absThm eqMp nil 574 ref 11706 remove appTerm thm nil 3622 ref 3635 ref 574 ref 3999 ref 63 ref "Number.Real.>" "_17200" 394 ref var 11709 def "_17201" 394 ref var 11710 def 11693 ref 11710 ref varTerm 11711 def appTerm 11709 ref varTerm 11712 def appTerm 11713 def absTerm 11714 def absTerm 11715 def defineConst 11716 def pop 397 remove constTerm 11717 def 3636 ref appTerm 4000 ref appTerm appTerm 11693 remove 4000 ref appTerm 3636 ref appTerm appTerm absTerm appTerm absTerm 11718 def nil cons cons nil cons nil cons cons 3625 ref subst 11709 remove nil 94 ref 574 ref 11710 ref 63 ref 11717 remove 11712 ref appTerm 11711 ref appTerm appTerm 11713 remove appTerm 11719 def absTerm 11720 def appTerm nil cons cons nil cons nil cons cons 101 ref subst nil 3622 ref 11720 remove nil cons cons nil cons nil cons cons 3625 ref subst 11710 remove nil 94 ref 11719 remove nil cons cons nil cons nil cons cons 101 ref subst 11716 remove 11712 ref refl appThm 11715 remove 11712 remove appTerm betaConv trans 11711 ref refl appThm 11714 remove 11711 remove appTerm betaConv trans eqMp absThm eqMp eqMp absThm eqMp nil 574 ref 11718 remove appTerm thm nil 3622 ref 3635 ref 398 ref "Number.Real.abs" "_17212" 394 ref var 11721 def 8245 remove 1 ref 16 ref 3678 ref nil cons cons opType constTerm 11722 def 8175 ref 11721 ref varTerm 11723 def appTerm appTerm 11723 ref appTerm 4334 remove 11723 ref appTerm appTerm 11724 def absTerm 11725 def defineConst 11726 def pop 3676 ref constTerm 11727 def 3636 ref appTerm appTerm 11722 ref 8243 ref appTerm 3636 ref appTerm 4431 ref appTerm appTerm absTerm 11728 def nil cons cons nil cons nil cons cons 3625 ref subst 11721 remove nil 94 ref 398 ref 11727 remove 11723 ref appTerm appTerm 11724 remove appTerm nil cons cons nil cons nil cons cons 101 ref subst 11726 remove 11723 ref refl appThm 11725 remove 11723 remove appTerm betaConv trans eqMp absThm eqMp nil 574 ref 11728 remove appTerm thm "Number.Real.^" "real_pow" 1 ref 394 ref 4204 remove nil cons cons opType 11729 def var 11730 def nil cons cons nil cons 11730 ref 70 ref 574 ref 3635 ref 398 ref 11730 ref varTerm 11731 def 3636 ref appTerm 11732 def 8 ref appTerm appTerm 6667 ref appTerm absTerm appTerm appTerm 574 ref 3635 ref 22 ref 7 ref 398 ref 11732 ref 4837 ref appTerm appTerm 6542 ref 11732 remove 34 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 11733 def refl 11734 def 54 ref 1 ref 11729 ref 1 ref 11729 ref 17 ref cons opType 11735 def nil cons cons opType constTerm 11736 def 11731 ref appTerm 11737 def 1113 ref 1 ref 11735 ref 11729 ref nil cons 11738 def cons opType constTerm 11739 def 11733 ref appTerm appTerm assume sym appThm 11733 ref 11731 ref appTerm betaConv 11740 def trans "A" 11738 remove cons nil cons 11741 def 189 ref cons 2859 ref subst 11734 remove appThm "p" 11735 ref var 11742 def 11742 remove varTerm 11743 def 11739 remove 11743 remove appTerm appTerm absTerm 11733 ref appTerm betaConv trans 15 ref 1 ref 1 ref 1 ref 3 ref 3677 ref cons opType 11744 def 17 ref cons opType 11745 def 17 ref cons opType 11746 def constTerm 11747 def refl "fn" 11744 ref var 11748 def 70 ref 3726 ref 11748 remove varTerm 11749 def 8 ref appTerm appTerm 3635 ref 6667 ref absTerm 11750 def appTerm appTerm refl 49 ref 7 ref 3726 ref 11749 ref 4837 ref appTerm appTerm refl "_17220" 3676 ref var 11751 def 7 ref 3635 ref 6542 ref 11751 remove varTerm 3636 ref appTerm appTerm absTerm absTerm absTerm 11752 def 11749 remove 34 ref appTerm 11753 def appTerm betaConv 3282 ref appThm 864 ref 3635 ref 6542 ref 11753 remove 3636 ref appTerm appTerm absTerm absTerm 34 ref appTerm betaConv trans appThm absThm appThm appThm absThm appThm nil "f" 1 ref 3676 ref 11744 ref nil cons 11754 def cons opType var 11752 remove nil cons cons "e" 3676 remove var 11750 ref nil cons cons nil cons cons nil cons cons "A" 3677 remove cons nil cons 189 ref cons "f" 1 ref 139 ref 1 ref 3 ref 270 ref cons opType 11755 def nil cons 11756 def cons opType 11757 def var 11758 def "Data.Bool.?!" const 11759 def 1 ref 1 ref 11755 ref 17 ref cons opType 11760 def 17 ref cons opType 11761 def constTerm "fn" 11755 remove var 11762 def 70 ref 511 ref 11762 remove varTerm 11763 def 8 ref appTerm appTerm "e" 139 ref var 11764 def varTerm 11765 def appTerm appTerm 22 ref 7 ref 511 remove 11763 ref 4837 ref appTerm appTerm 11758 remove varTerm 11766 def 11763 remove 34 ref appTerm appTerm 34 ref appTerm appTerm absTerm appTerm appTerm absTerm 11767 def appTerm 11768 def absTerm 11769 def 11766 ref appTerm 11770 def betaConv 11764 remove 0 ref 1 ref 1 ref 11757 ref 17 ref cons opType 11771 def 17 ref cons opType constTerm 11769 ref appTerm 11772 def absTerm 11773 def 11765 ref appTerm 11774 def betaConv nil 142 ref 11773 ref appTerm 11775 def axiom nil 59 ref 11775 remove nil cons cons 60 ref 11774 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 272 remove 143 remove 11773 remove nil cons cons 147 ref 11765 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11772 remove nil cons cons 60 ref 11770 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 11757 ref nil cons cons nil cons "P" 11771 remove var 11769 remove nil cons cons "x" 11757 remove var 11766 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11768 remove nil cons cons 60 ref 15 ref 11761 remove constTerm 11767 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 11756 remove cons nil cons "P" 11760 remove var 11767 remove nil cons cons nil cons nil cons cons nil 59 ref 11759 remove 141 remove constTerm 11776 def 144 ref appTerm 11777 def nil cons 11778 def cons 11779 def 60 ref 1069 ref cons nil cons cons nil cons cons 11780 def 81 ref subst 11780 remove 152 ref subst nil 11779 remove 60 ref 70 ref 246 remove appTerm 142 ref 147 ref 142 ref 618 ref 64 ref 70 ref 149 remove appTerm 144 ref 619 remove appTerm appTerm appTerm 620 ref appTerm absTerm appTerm absTerm appTerm 11781 def appTerm 11782 def nil cons cons nil cons cons nil cons cons 11783 def 132 ref subst 63 ref 11777 ref appTerm 11784 def refl 154 ref 70 ref 8460 remove appTerm 142 ref 147 ref 142 ref 618 remove 64 ref 1502 remove 8546 remove appTerm appTerm 620 remove appTerm absTerm appTerm absTerm appTerm appTerm absTerm 11785 def 144 remove appTerm betaConv appThm nil 159 remove 11776 remove appTerm 11785 remove appTerm axiom 160 remove appThm eqMp nil 59 ref 11784 remove 11782 ref appTerm nil cons cons 60 ref 64 ref 11777 remove appTerm 11782 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 11783 remove 1088 ref subst eqMp eqMp nil 1089 remove 109 ref 11781 remove nil cons cons nil cons cons nil cons cons 123 ref subst proveHyp eqMp nil 107 ref 11778 remove cons 109 ref 1069 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp subst subst eqMp nil 59 ref 11747 ref "_17219" 11744 ref var 11786 def 70 ref 3726 ref 11786 ref varTerm 11787 def 8 ref appTerm 11788 def appTerm 11750 ref appTerm 11789 def appTerm 22 ref 7 ref 3726 remove 11787 ref 4837 ref appTerm 11790 def appTerm 3635 ref 6542 ref 11787 ref 34 ref appTerm 3636 ref appTerm appTerm 11791 def absTerm 11792 def appTerm absTerm 11793 def appTerm 11794 def appTerm 11795 def absTerm 11796 def appTerm 11797 def nil cons cons 60 ref 11747 remove 11786 ref 70 ref 574 ref 3635 ref 398 ref 11788 remove 3636 ref appTerm appTerm 11798 def 6667 ref appTerm 11799 def absTerm 11800 def appTerm 11801 def appTerm 574 ref 3635 ref 22 ref 7 ref 398 ref 11790 remove 3636 ref appTerm appTerm 11802 def 11791 remove appTerm 11803 def absTerm 11804 def appTerm 11805 def absTerm 11806 def appTerm 11807 def appTerm 11808 def absTerm 11809 def appTerm 11810 def nil cons 11811 def cons nil cons 11812 def cons nil cons cons 132 ref subst nil "P" 11745 remove var 11813 def 11786 ref 64 ref 11796 ref 11787 ref appTerm 11814 def appTerm 11810 ref appTerm 11815 def absTerm nil cons cons nil cons nil cons cons "A" 11754 remove cons nil cons 11816 def 189 ref cons 260 ref subst 11817 def subst 11786 ref nil 94 ref 11815 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 11814 ref nil cons 11818 def cons 11812 ref cons nil cons cons 11819 def 81 ref subst 11819 remove 152 ref subst 11814 ref betaConv 11814 remove assume eqMp nil 59 ref 11795 remove nil cons 11820 def cons 11812 remove cons nil cons cons 11821 def 132 ref subst proveHyp 11821 ref 81 ref subst 11821 remove 152 ref subst 11809 ref 11787 ref appTerm 11822 def betaConv 11823 def sym nil 107 ref 11789 ref nil cons cons 109 ref 11794 remove nil cons 11824 def cons nil cons cons nil cons cons 11825 def 123 ref subst nil 3622 ref 11800 remove nil cons cons nil cons nil cons cons 3625 ref subst 3635 ref nil 94 ref 11799 remove nil cons cons nil cons nil cons cons 101 ref subst 11798 remove refl 11750 remove 3636 ref appTerm betaConv appThm 11789 remove assume 8301 ref appThm eqMp eqMp absThm eqMp proveHyp nil 59 ref 11801 remove nil cons cons 60 ref 11807 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 11825 remove 687 ref subst nil 3622 ref 11806 remove nil cons cons nil cons nil cons cons 3625 ref subst 3635 ref nil 94 ref 11805 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 11804 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 11803 remove nil cons cons nil cons nil cons cons 101 ref subst 11802 remove refl 11792 remove 3636 ref appTerm betaConv appThm 11793 ref 34 ref appTerm 11826 def betaConv nil 59 ref 11824 remove cons 60 ref 11826 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 11793 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 8301 ref appThm eqMp eqMp absThm eqMp eqMp absThm eqMp proveHyp eqMp eqMp 11816 ref 11813 ref 11809 ref nil cons cons 11827 def "x" 11744 remove var 11828 def 11787 ref nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 11820 remove cons 109 ref 11811 ref cons nil cons 11829 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 11818 remove cons 11829 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 0 ref 11746 remove constTerm 11830 def 11828 ref 64 ref 11796 ref 11828 ref varTerm 11831 def appTerm appTerm 11810 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 11797 remove appTerm 11810 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 11816 ref 11813 ref 11796 remove nil cons cons 11829 remove cons nil cons cons 1090 ref subst eqMp eqMp proveHyp nil 59 ref 11811 remove cons 60 ref 15 ref 1 ref 11735 ref 17 ref cons opType constTerm 11733 ref appTerm 11832 def nil cons 11833 def cons nil cons 11834 def cons nil cons cons 132 ref subst nil 11813 remove 11786 ref 64 ref 11822 ref appTerm 11832 ref appTerm 11835 def absTerm nil cons cons nil cons nil cons cons 11817 remove subst 11786 remove nil 94 ref 11835 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 11822 ref nil cons 11836 def cons 11834 ref cons nil cons cons 11837 def 81 ref subst 11837 remove 152 ref subst 11823 remove 11822 remove assume eqMp nil 59 ref 11808 ref nil cons 11838 def cons 11834 ref cons nil cons cons 11839 def 132 ref subst proveHyp 11839 ref 81 ref subst 11839 remove 152 ref subst "_17217" 394 ref var 11840 def "_17218" 3 ref var 11841 def 11787 remove 11841 ref varTerm appTerm 11842 def 11840 remove varTerm appTerm absTerm absTerm 11843 def refl nil 59 ref 11736 remove 11843 ref appTerm 11843 ref appTerm nil cons cons 11834 ref cons nil cons cons 132 ref subst proveHyp nil 11730 remove 11843 ref nil cons cons nil cons nil cons cons nil 59 ref 11737 remove 11843 ref appTerm 11844 def nil cons 11845 def cons 11834 remove cons nil cons cons 11846 def 81 ref subst 11846 remove 152 ref subst 11740 remove sym 652 ref 3998 ref 3635 ref 3626 ref 11844 remove assume 8301 ref appThm 11843 remove 3636 ref appTerm betaConv trans 11847 def 4820 remove appThm 11841 remove 11842 remove 3636 ref appTerm absTerm 11848 def 8 ref appTerm betaConv trans appThm 6667 ref refl appThm absThm appThm appThm 3998 ref 3635 ref 49 ref 7 ref 3626 ref 11847 ref 4837 ref refl appThm 11848 ref 4837 ref appTerm betaConv trans appThm 6542 ref refl 11847 remove 3282 ref appThm 11848 remove 34 ref appTerm betaConv trans appThm appThm absThm appThm absThm appThm appThm sym 11808 remove assume eqMp eqMp 11741 remove "P" 11735 remove var 11733 remove nil cons cons "x" 11729 ref var 11731 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 11845 remove cons 109 ref 11833 remove cons nil cons 11849 def cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp nil 107 ref 11838 remove cons 11849 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 11836 remove cons 11849 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 11830 remove 11828 remove 64 ref 11809 remove 11831 remove appTerm appTerm 11832 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 11810 remove appTerm 11832 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 11816 remove 11827 remove 11849 remove cons nil cons cons 1090 ref subst eqMp eqMp proveHyp eqMp eqMp defineConstList 11850 def pop 11851 def pop 11850 ref nil 107 ref 574 ref 3635 ref 398 ref 11851 remove hdTl pop 11729 remove constTerm 3636 ref appTerm 11852 def 8 ref appTerm appTerm 6667 remove appTerm absTerm appTerm 11853 def nil cons cons 109 ref 574 ref 3635 ref 22 ref 7 ref 398 ref 11852 ref 4837 remove appTerm appTerm 6542 ref 11852 remove 34 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm 11854 def nil cons cons nil cons cons nil cons cons 11855 def 687 ref subst proveHyp nil 11854 remove thm 11850 remove 11855 remove 123 ref subst proveHyp nil 11853 remove thm 3998 ref 3635 ref 3998 ref 3999 ref 64 ref 1237 ref 398 ref 4000 ref appTerm 11856 def 4215 ref appTerm appTerm 11857 def appTerm 11858 def refl nil 94 ref 398 ref "Number.Real./" "_17223" 394 ref var 11859 def "_17224" 394 ref var 11860 def 4479 remove 11859 ref varTerm 11861 def appTerm 8287 ref 11860 ref varTerm 11862 def appTerm appTerm absTerm 11863 def absTerm 11864 def defineConst 11865 def pop 3678 ref constTerm 3636 ref appTerm 4000 ref appTerm appTerm 6542 remove 8287 remove 4000 ref appTerm appTerm appTerm 11866 def nil cons cons nil cons nil cons cons 101 ref subst nil 11859 remove 3636 ref nil cons 11867 def cons 11860 remove 4000 ref nil cons 11868 def cons nil cons cons nil cons cons 11865 remove 11861 ref refl appThm 11864 remove 11861 remove appTerm betaConv trans 11862 ref refl appThm 11863 remove 11862 remove appTerm betaConv trans subst eqMp appThm nil 94 ref 11857 remove nil cons cons nil cons nil cons cons 1696 ref subst trans absThm appThm 188 remove 3624 ref 201 remove subst subst 11869 def trans absThm appThm 11869 remove trans sym 100 ref eqMp nil 574 ref 3635 ref 574 ref 3999 ref 11858 remove 11866 remove appTerm absTerm appTerm absTerm appTerm thm nil 3622 ref "m" 394 ref var 11870 def 574 ref "n" 394 ref var 11871 def 398 ref "Number.Real.max" "_17235" 394 ref var 11872 def "_17236" 394 ref var 11873 def 11722 ref 6793 ref 11872 ref varTerm 11874 def appTerm 11873 ref varTerm 11875 def appTerm appTerm 11875 ref appTerm 11874 ref appTerm 11876 def absTerm 11877 def absTerm 11878 def defineConst 11879 def pop 3678 ref constTerm 11880 def 11870 ref varTerm 11881 def appTerm 11871 ref varTerm 11882 def appTerm appTerm 11722 ref 6793 ref 11881 ref appTerm 11882 ref appTerm appTerm 11883 def 11882 ref appTerm 11881 ref appTerm appTerm absTerm appTerm absTerm 11884 def nil cons cons nil cons nil cons cons 3625 ref subst 11872 remove nil 94 ref 574 ref 11873 ref 398 ref 11880 remove 11874 ref appTerm 11875 ref appTerm appTerm 11876 remove appTerm 11885 def absTerm 11886 def appTerm nil cons cons nil cons nil cons cons 101 ref subst nil 3622 ref 11886 remove nil cons cons nil cons nil cons cons 3625 ref subst 11873 remove nil 94 ref 11885 remove nil cons cons nil cons nil cons cons 101 ref subst 11879 remove 11874 ref refl appThm 11878 remove 11874 remove appTerm betaConv trans 11875 ref refl appThm 11877 remove 11875 remove appTerm betaConv trans eqMp absThm eqMp eqMp absThm eqMp nil 574 ref 11884 remove appTerm thm nil 3622 ref 11870 ref 574 ref 11871 remove 398 ref "Number.Real.min" "_17247" 394 ref var 11887 def "_17248" 394 ref var 11888 def 11722 remove 6793 ref 11887 ref varTerm 11889 def appTerm 11888 ref varTerm 11890 def appTerm appTerm 11889 ref appTerm 11890 ref appTerm 11891 def absTerm 11892 def absTerm 11893 def defineConst 11894 def pop 3678 remove constTerm 11895 def 11881 ref appTerm 11882 ref appTerm appTerm 11883 remove 11881 ref appTerm 11882 remove appTerm appTerm absTerm appTerm absTerm 11896 def nil cons cons nil cons nil cons cons 3625 ref subst 11887 remove nil 94 ref 574 ref 11888 ref 398 ref 11895 remove 11889 ref appTerm 11890 ref appTerm appTerm 11891 remove appTerm 11897 def absTerm 11898 def appTerm nil cons cons nil cons nil cons cons 101 ref subst nil 3622 ref 11898 remove nil cons cons nil cons nil cons cons 3625 ref subst 11888 remove nil 94 ref 11897 remove nil cons cons nil cons nil cons cons 101 ref subst 11894 remove 11889 ref refl appThm 11893 remove 11889 remove appTerm betaConv trans 11890 ref refl appThm 11892 remove 11890 remove appTerm betaConv trans eqMp absThm eqMp eqMp absThm eqMp nil 574 ref 11896 remove appTerm thm 652 ref 0 ref 1 ref 1 ref "Set.set" typeOp 11899 def 399 ref opType 11900 def 17 ref cons opType 11901 def 17 ref cons opType constTerm 11902 def refl 11903 def "s" 11900 ref var 11904 def 3998 ref 3635 ref nil 969 ref 7643 ref "Number.Real.sup" "f" 1 ref 11900 ref 399 ref cons opType 11905 def var 11906 def nil cons cons nil cons 11906 ref 11902 ref 11904 ref 64 ref 70 ref 1237 ref 54 ref 1 ref 11900 ref 11901 ref nil cons 11907 def cons opType constTerm 11904 ref varTerm 11908 def appTerm "Set.{}" const 11909 def 11900 ref constTerm appTerm 11910 def appTerm 11911 def appTerm 11912 def 3641 ref 11870 ref 574 ref 3635 ref 64 ref "Set.member" const 11913 def 1 ref 394 ref 11907 remove cons opType constTerm 11914 def 3636 ref appTerm 11908 ref appTerm 11915 def appTerm 11916 def 7643 ref 11881 ref appTerm appTerm absTerm appTerm 11917 def absTerm 11918 def appTerm 11919 def appTerm 11920 def appTerm 11921 def 70 ref 574 ref 3635 ref 11916 ref 7643 ref 11906 ref varTerm 11922 def 11908 ref appTerm 11923 def appTerm appTerm absTerm appTerm appTerm 574 ref 11870 ref 64 ref 11917 ref appTerm 11924 def 6793 ref 11923 ref appTerm 11881 ref appTerm appTerm absTerm appTerm appTerm appTerm absTerm appTerm absTerm 11925 def refl 11926 def 54 ref 1 ref 11905 ref 1 ref 11905 ref 17 ref cons opType 11927 def nil cons cons opType constTerm 11922 ref appTerm 1113 remove 1 ref 11927 ref 11905 ref nil cons 11928 def cons opType constTerm 11929 def 11925 ref appTerm appTerm assume sym appThm 11925 ref 11922 remove appTerm betaConv trans "A" 11928 remove cons nil cons 189 ref cons 2859 remove subst 11926 remove appThm "p" 11927 ref var 11930 def 11930 remove varTerm 11931 def 11929 remove 11931 remove appTerm appTerm absTerm 11925 remove appTerm betaConv trans 111 ref 11903 ref 11904 ref 3641 ref refl 11932 def 3999 ref 11904 ref 3999 ref 11921 ref 70 ref 574 ref 3635 ref 11916 ref 7786 remove appTerm absTerm appTerm appTerm 574 ref 11870 ref 11924 ref 7656 ref 11881 ref appTerm appTerm absTerm appTerm appTerm 11933 def appTerm absTerm 11934 def absTerm 11935 def 11908 ref appTerm betaConv 11936 def 4000 ref refl appThm 11934 ref 4000 ref appTerm betaConv trans absThm appThm absThm appThm appThm 15 ref 1 ref 11927 remove 17 ref cons opType constTerm refl 11906 remove 11903 ref 11904 ref 11936 remove 11923 ref refl appThm 11934 remove 11923 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 1 ref 11900 ref 396 remove cons opType var 11935 remove nil cons cons nil cons nil cons cons "B" 399 ref cons "A" 11900 remove nil cons cons nil cons 11937 def cons 189 ref cons 1559 remove subst subst eqMp 11903 ref 11904 ref 111 ref 11921 ref refl 11938 def 11932 ref 3999 ref 3999 ref 11933 remove absTerm 11939 def 4000 ref appTerm betaConv 11940 def absThm appThm appThm appThm 11932 ref 3999 ref 11938 ref 11940 remove appThm absThm appThm appThm nil "q" 395 remove var 11941 def 11939 ref nil cons 11942 def cons 59 ref 11920 remove nil cons 11943 def cons 11944 def nil cons 11945 def cons nil cons cons 3624 ref 1501 ref 63 ref 66 ref 2104 remove appTerm appTerm 204 ref 147 ref 66 ref 1504 remove appTerm absTerm 11946 def appTerm appTerm absTerm 11947 def 1503 ref appTerm 11948 def betaConv 59 ref 1480 ref 11947 ref appTerm 11949 def absTerm 11950 def 65 ref appTerm 11951 def betaConv nil 194 ref 11950 ref appTerm 11952 def axiom nil 59 ref 11952 remove nil cons cons 60 ref 11951 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 11950 remove nil cons cons 998 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 11949 remove nil cons cons 60 ref 11948 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 11947 remove nil cons cons 1516 ref cons nil cons cons 163 ref subst eqMp eqMp subst subst eqMp absThm appThm nil "P" 11901 ref var 11904 ref 11921 ref 3641 ref 11939 remove appTerm 11953 def appTerm 11954 def absTerm nil cons cons nil cons nil cons cons 11937 remove 189 ref cons 11955 def 260 ref subst subst 11904 ref nil 94 ref 11954 remove nil cons cons nil cons nil cons cons 101 ref subst nil 11944 remove 60 ref 11953 ref nil cons 11956 def cons nil cons 11957 def cons nil cons cons 11958 def 81 ref subst 11958 remove 152 ref subst nil 107 ref 11911 remove nil cons 11959 def cons 109 ref 11919 ref nil cons 11960 def cons nil cons cons nil cons cons 11961 def 123 ref subst 11961 remove 687 ref subst nil 59 ref 11960 ref cons 11957 ref cons nil cons cons 132 ref subst nil 3622 ref 11870 ref 64 ref 11918 ref 11881 ref appTerm 11962 def appTerm 11953 ref appTerm 11963 def absTerm nil cons cons nil cons nil cons cons 3625 ref subst 11870 ref nil 94 ref 11963 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 11962 ref nil cons 11964 def cons 11957 ref cons nil cons cons 11965 def 81 ref subst 11965 remove 152 ref subst 11962 ref betaConv 11966 def 11962 remove assume eqMp nil 59 ref 11917 ref nil cons 11967 def cons 11957 ref cons nil cons cons 11968 def 132 ref subst proveHyp 11968 ref 81 ref subst 11968 remove 152 ref subst 3622 ref 64 ref 70 ref 3642 ref appTerm 3641 ref "M" 394 ref var 11969 def 574 ref 3635 ref 64 ref 3637 ref appTerm 11970 def 7643 ref 11969 ref varTerm 11971 def appTerm 11972 def appTerm absTerm 11973 def appTerm 11974 def absTerm 11975 def appTerm 11976 def appTerm 11977 def appTerm 3641 ref 11969 ref 70 ref 11974 ref appTerm 574 ref "M'" 394 ref var 11978 def 64 ref 574 ref 3635 ref 11970 ref 7643 ref 11978 ref varTerm 11979 def appTerm 11980 def appTerm absTerm 11981 def appTerm 11982 def appTerm 11983 def 6793 ref 11971 ref appTerm 11979 ref appTerm 11984 def appTerm absTerm appTerm appTerm absTerm 11985 def appTerm 11986 def appTerm 11987 def absTerm 11988 def 4144 ref 11914 remove 4145 ref appTerm 11908 ref appTerm absTerm 11989 def appTerm 11990 def betaConv nil 4004 ref 11988 ref nil cons cons 11991 def nil cons nil cons cons 4003 ref 189 ref cons 260 ref subst 11992 def subst 3622 ref nil 94 ref 11987 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 11977 remove nil cons 11993 def cons 60 ref 11986 ref nil cons 11994 def cons nil cons 11995 def cons nil cons cons 11996 def 81 ref subst 11996 remove 152 ref subst nil 107 ref 3642 ref nil cons 11997 def cons 109 ref 11976 ref nil cons 11998 def cons nil cons 11999 def cons nil cons cons 12000 def 123 ref subst 12000 remove 687 ref subst nil 59 ref 11997 remove cons 11995 ref cons nil cons cons 132 ref subst nil 3622 ref 3635 ref 64 ref 3638 ref 3636 ref appTerm 12001 def appTerm 11986 ref appTerm 12002 def absTerm 12003 def nil cons cons nil cons nil cons cons 3625 ref subst 3635 ref nil 94 ref 12002 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12001 ref nil cons 12004 def cons 11995 ref cons nil cons cons 12005 def 81 ref subst 12005 remove 152 ref subst 12001 ref betaConv 12001 remove assume eqMp nil 59 ref 3637 ref nil cons 12006 def cons 12007 def 11995 ref cons nil cons cons 12008 def 132 ref subst proveHyp 12008 ref 81 ref subst 12008 remove 152 ref subst nil 59 ref 11998 remove cons 11995 ref cons nil cons cons 132 ref subst 12009 def nil 3622 ref 11969 ref 64 ref 11975 ref 11971 ref appTerm 12010 def appTerm 11986 ref appTerm 12011 def absTerm nil cons cons nil cons nil cons cons 3625 ref subst 12012 def 11969 ref nil 94 ref 12011 remove nil cons cons nil cons nil cons cons 101 ref subst 12013 def nil 59 ref 12010 ref nil cons 12014 def cons 11995 ref cons nil cons cons 12015 def 81 ref subst 12016 def 12015 remove 152 ref subst 12017 def 12010 ref betaConv 12010 remove assume eqMp nil 59 ref 11974 remove nil cons 12018 def cons 12019 def 11995 ref cons nil cons cons 12020 def 132 ref subst proveHyp 12021 def 12020 ref 81 ref subst 12022 def 12020 remove 152 ref subst 12023 def 3622 ref 64 ref 70 ref 3641 ref 3635 ref 70 ref 3637 ref appTerm 8243 ref appTerm 12024 def absTerm 12025 def appTerm 12026 def appTerm 11976 ref appTerm 12027 def appTerm 11986 ref appTerm 12028 def absTerm 12029 def 3999 ref 3633 ref 4123 remove appTerm absTerm 12030 def appTerm 12031 def betaConv nil 4004 remove 12029 ref nil cons cons 12032 def nil cons nil cons cons 11992 remove subst 3622 ref nil 94 ref 12028 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12027 remove nil cons 12033 def cons 11995 ref cons nil cons cons 12034 def 81 ref subst 12034 remove 152 ref subst nil 107 ref 12026 ref nil cons 12035 def cons 11999 remove cons nil cons cons 12036 def 123 ref subst 12036 remove 687 ref subst nil 59 ref 12035 remove cons 11995 ref cons nil cons cons 132 ref subst nil 3622 ref 3635 ref 64 ref 12025 ref 3636 ref appTerm 12037 def appTerm 11986 ref appTerm 12038 def absTerm 12039 def nil cons cons nil cons nil cons cons 3625 ref subst 3635 ref nil 94 ref 12038 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12037 ref nil cons 12040 def cons 11995 ref cons nil cons cons 12041 def 81 ref subst 12041 remove 152 ref subst 12037 ref betaConv 12037 remove assume eqMp nil 59 ref 12024 remove nil cons 12042 def cons 11995 ref cons nil cons cons 12043 def 132 ref subst proveHyp 12043 ref 81 ref subst 12043 remove 152 ref subst nil 107 ref 12006 ref cons 12044 def 109 ref 8243 ref nil cons 12045 def cons nil cons 12046 def cons nil cons cons 12047 def 123 ref subst 12047 remove 687 ref subst 12009 remove 12012 remove 11969 ref 12013 remove 12016 remove 12017 remove 12021 remove 12022 remove 12023 remove "r" 1 ref 285 ref 399 remove cons opType 12048 def var 12049 def 70 ref 574 ref 3635 ref 63 ref 8243 ref appTerm 12050 def 1109 ref 303 ref 7790 ref 12049 ref varTerm 12051 def 331 ref appTerm 12052 def appTerm absTerm 12053 def appTerm 12054 def appTerm absTerm 12055 def appTerm 12056 def appTerm 416 ref 303 ref 416 ref 3420 ref 63 ref 7664 ref 3424 ref appTerm 12057 def appTerm 12058 def 6793 ref 12052 ref appTerm 12059 def 12051 ref 3424 ref appTerm 12060 def appTerm 12061 def appTerm absTerm 12062 def appTerm 12063 def absTerm 12064 def appTerm 12065 def appTerm 12066 def absTerm 12067 def 303 ref 401 ref 373 ref 301 ref 331 ref appTerm 4188 ref appTerm 12068 def appTerm appTerm 12069 def absTerm 12070 def appTerm betaConv sym 652 ref 3998 ref 3635 ref 12050 ref refl 7248 ref 303 ref 7790 ref refl 12070 ref 331 ref appTerm betaConv 12071 def appThm absThm appThm appThm absThm appThm appThm 417 ref 303 ref 417 ref 3420 ref 12058 remove refl 12072 def 8140 ref 12071 remove appThm 12070 ref 3424 ref appTerm betaConv appThm nil 3652 ref 301 ref 3424 ref appTerm 4188 ref appTerm nil cons cons 3654 remove 12068 ref nil cons 12073 def cons nil cons cons nil cons cons 7635 ref subst trans appThm absThm appThm absThm appThm appThm sym 70 ref 574 ref 3635 ref 12050 remove 1109 ref 303 ref 7790 ref 12069 ref appTerm 12074 def absTerm 12075 def appTerm 12076 def appTerm 12077 def absTerm 12078 def appTerm 12079 def appTerm refl 417 ref 303 ref 417 ref 3420 ref 12072 remove nil 4421 ref 456 ref 3492 ref cons 4225 ref 460 ref 3414 ref cons nil cons cons cons cons nil cons cons 6890 ref subst 6892 ref 11501 ref appThm nil 3502 ref 3492 ref cons nil cons nil cons cons 4429 ref subst appThm trans appThm nil 198 ref 12057 remove nil cons cons nil cons nil cons cons 635 ref subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans appThm nil 94 ref 12079 remove nil cons cons nil cons nil cons cons 1385 ref subst trans sym nil 3622 ref 12078 remove nil cons cons nil cons nil cons cons 3625 ref subst 3635 ref nil 94 ref 12077 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12045 ref cons 12080 def 60 ref 12076 ref nil cons cons nil cons cons nil cons cons 1845 remove subst nil 584 remove 3643 ref nil cons 12081 def cons nil cons nil cons cons 3630 remove subst nil 59 ref 63 ref 378 remove 293 ref 379 ref 3643 ref appTerm 12082 def 374 remove appTerm absTerm 12083 def appTerm 12084 def appTerm 12085 def 379 ref 577 ref 401 ref 3643 ref appTerm 12086 def appTerm appTerm 3643 ref appTerm appTerm nil cons cons 60 ref 64 ref 8243 ref appTerm 12087 def 12076 ref appTerm 12088 def nil cons 12089 def cons nil cons 12090 def cons nil cons cons 132 ref subst proveHyp 651 ref 12085 remove refl 379 remove refl 577 remove refl nil 575 remove 11867 ref cons nil cons nil cons cons 3627 remove subst 12091 def appThm appThm 3643 remove refl appThm nil "x" 289 ref var 12081 remove cons nil cons nil cons cons 3628 remove 549 ref subst subst trans appThm nil 94 ref 12084 ref nil cons cons nil cons nil cons cons 10359 remove subst trans appThm 12088 ref refl 12092 def appThm sym nil 386 ref "p" 288 ref var 12093 def 64 ref 12083 ref 12093 ref varTerm 12094 def appTerm 12095 def appTerm 12088 ref appTerm 12096 def absTerm nil cons cons nil cons nil cons cons 3735 ref subst 12093 remove nil 94 ref 12096 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12095 ref nil cons 12097 def cons 12090 ref cons nil cons cons 12098 def 81 ref subst 12098 remove 152 ref subst 12095 ref betaConv 12095 remove assume eqMp nil 59 ref 12082 remove 373 ref 12094 ref appTerm 12099 def appTerm 12100 def nil cons 12101 def cons 12090 ref cons nil cons cons 12102 def 132 ref subst proveHyp 12102 ref 81 ref subst 12102 remove 152 ref subst 3686 ref 12100 remove assume appThm nil 59 ref 398 ref 12086 remove appTerm 401 ref 12099 remove appTerm 12103 def appTerm nil cons cons 12090 ref cons nil cons cons 132 ref subst proveHyp 651 ref 3626 ref 12091 remove appThm 12103 ref refl 12104 def appThm appThm 12092 remove appThm sym nil 59 ref 7790 remove 12103 ref appTerm 12105 def nil cons 12106 def cons 12090 remove cons nil cons cons 12107 def 81 ref subst 12107 remove 152 ref subst 63 ref "_17259" 394 ref var 12108 def 64 ref 8175 ref 12108 remove varTerm 12109 def appTerm appTerm 1109 ref 303 ref 398 ref 12109 remove appTerm 12069 ref appTerm absTerm appTerm appTerm absTerm 12110 def 3636 ref appTerm 12111 def appTerm refl 12110 ref 12103 ref appTerm betaConv appThm 111 ref 12111 remove betaConv appThm 64 ref 8175 ref 12103 ref appTerm appTerm 1109 ref 303 ref 398 ref 12103 remove appTerm 12069 ref appTerm absTerm appTerm 12112 def appTerm refl appThm trans 12110 remove refl 12105 remove assume appThm eqMp sym 651 ref 8140 ref 4198 remove 4210 remove subst appThm 12113 def 12104 remove appThm nil 3652 ref 12094 ref nil cons 12114 def cons 4195 ref cons nil cons cons 7635 ref subst trans appThm 12112 remove refl appThm sym 63 ref "_17261" 288 ref var 12115 def 64 ref 8182 ref 12115 remove varTerm 12116 def appTerm appTerm 1109 ref 303 ref 398 ref 401 ref 373 ref 12116 remove appTerm appTerm appTerm 12069 ref appTerm absTerm appTerm appTerm absTerm 12117 def 12094 ref appTerm 12118 def appTerm refl 12117 ref 301 ref 341 ref 12094 ref appTerm 12119 def appTerm 345 ref 12094 ref appTerm 12120 def appTerm 12121 def appTerm betaConv appThm 111 ref 12118 remove betaConv appThm 64 ref 8182 remove 12121 ref appTerm appTerm 1109 ref 303 ref 398 ref 401 ref 373 ref 12121 ref appTerm appTerm appTerm 12069 ref appTerm absTerm appTerm 12122 def appTerm refl appThm trans 12117 remove refl 3776 ref 12094 ref appTerm 12121 ref appTerm assume sym 3776 ref 12121 ref appTerm 12094 ref appTerm assume sym deductAntisym 293 ref 3776 ref 301 ref 341 ref 354 ref appTerm appTerm 345 ref 354 ref appTerm appTerm appTerm 354 ref appTerm absTerm 12123 def 12094 remove appTerm 12124 def betaConv 427 remove nil 435 remove 436 remove 3829 remove 444 remove 512 remove 438 ref appTerm appTerm 528 remove 438 ref appTerm appTerm appTerm 438 remove appTerm absTerm appTerm axiom subst 12125 def nil 59 ref 291 ref 12123 ref appTerm nil cons cons 12126 def 60 ref 12124 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 386 ref 12123 ref nil cons cons 12127 def 293 ref 12114 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm eqMp sym 651 ref 8186 ref 12121 remove refl appThm nil 453 ref 12120 ref nil cons 12128 def cons 456 ref 12119 ref nil cons 12129 def cons 4227 ref cons cons nil cons cons 6890 ref subst trans appThm 12122 ref refl 12130 def appThm sym 651 ref 6892 ref nil 302 ref 12128 ref cons nil cons 12131 def nil cons cons 4313 remove subst appThm nil 3502 ref 12129 ref cons nil cons nil cons cons 4429 ref subst appThm appThm 12130 remove appThm sym nil 59 ref 6778 ref 12120 ref appTerm 12119 ref appTerm nil cons 12132 def cons 12133 def 60 ref 12122 ref nil cons 12134 def cons nil cons 12135 def cons nil cons cons 12136 def 81 ref subst 12136 remove 152 ref subst nil 12133 remove 60 ref 1109 ref 6392 ref 365 ref 12119 ref appTerm 338 ref 12120 ref appTerm 12137 def 6400 ref appTerm 12138 def appTerm 12139 def absTerm 12140 def appTerm 12141 def nil cons 12142 def cons nil cons cons nil cons cons 132 ref subst nil 303 ref 12129 remove cons 12131 ref cons nil cons cons 7464 remove subst eqMp nil 59 ref 12142 remove cons 12135 ref cons nil cons cons 132 ref subst proveHyp nil 659 ref 6392 ref 64 ref 12140 ref 6400 ref appTerm 12143 def appTerm 12122 ref appTerm 12144 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 6392 remove nil 94 ref 12144 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12143 ref nil cons 12145 def cons 12135 ref cons nil cons cons 12146 def 81 ref subst 12146 remove 152 ref subst 12143 ref betaConv 12143 remove assume eqMp nil 59 ref 12139 ref nil cons 12147 def cons 12135 remove cons nil cons cons 12148 def 132 ref subst proveHyp 12148 ref 81 ref subst 12148 remove 152 ref subst 63 ref "_17263" 285 ref var 12149 def 1109 ref 303 ref 398 ref 401 ref 373 ref 301 ref 12149 remove varTerm appTerm 12120 ref appTerm appTerm appTerm appTerm 12069 ref appTerm absTerm appTerm absTerm 12150 def 12119 remove appTerm 12151 def appTerm refl 12150 ref 12138 ref appTerm betaConv appThm 111 ref 12151 remove betaConv appThm 1109 ref 303 ref 398 ref 401 remove 373 ref 301 ref 12138 ref appTerm 12120 remove appTerm appTerm 12152 def appTerm appTerm 12069 ref appTerm absTerm 12153 def appTerm refl appThm trans 12150 remove refl 12139 remove assume appThm eqMp sym 12153 ref 6400 ref appTerm betaConv sym 3686 remove nil "g" 289 ref var 373 remove 301 ref 6400 ref appTerm 4188 ref appTerm appTerm 12154 def nil cons cons "f" 289 remove var 12152 ref nil cons cons nil cons cons nil cons cons 3687 remove 189 ref cons 1961 remove subst subst sym nil 386 ref "q" 288 ref var 12155 def 63 ref 12152 ref 12155 ref varTerm 12156 def appTerm appTerm 12154 ref 12156 ref appTerm appTerm 12157 def absTerm 12158 def nil cons cons nil cons nil cons cons 3735 remove subst 12155 remove nil 94 ref 12157 remove nil cons cons nil cons nil cons cons 101 ref subst 63 ref "_17265" 288 remove var 12159 def 63 ref 12152 ref 12159 remove varTerm 12160 def appTerm appTerm 12154 ref 12160 remove appTerm appTerm absTerm 12161 def 12156 ref appTerm 12162 def appTerm refl 12161 remove 301 remove 341 remove 12156 ref appTerm 12163 def appTerm 345 remove 12156 ref appTerm 12164 def appTerm 12165 def appTerm betaConv appThm 111 ref 12162 remove betaConv appThm 63 ref 12152 remove 12165 ref appTerm appTerm 12154 remove 12165 ref appTerm appTerm refl appThm trans 12158 remove refl 3776 ref 12156 ref appTerm 12165 ref appTerm assume sym 3776 remove 12165 remove appTerm 12156 ref appTerm assume sym deductAntisym 12123 remove 12156 ref appTerm 12166 def betaConv 12125 remove nil 12126 remove 60 ref 12166 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 ref 12127 remove 293 ref 12156 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp appThm eqMp sym 111 ref nil 453 remove 12164 ref nil cons 12167 def cons 12168 def 456 ref 12163 ref nil cons 12169 def cons 12170 def 459 remove 12128 ref cons 460 ref 12138 ref nil cons cons nil cons cons cons cons nil cons cons 542 ref subst appThm nil 12168 remove 12170 remove 4225 remove 460 remove 6419 ref cons nil cons cons cons cons nil cons cons 542 remove subst appThm sym 111 ref 365 ref 338 ref 12138 remove appTerm 12164 ref appTerm appTerm refl nil 303 ref 12128 ref cons 302 ref 12169 ref cons nil cons cons nil cons cons 3416 remove subst appThm appThm 365 ref 338 ref 6400 remove appTerm 12164 remove appTerm 12171 def appTerm 12172 def 338 remove 12163 ref appTerm 4188 remove appTerm appTerm refl 12173 def appThm sym 111 ref 690 ref nil 3420 ref 12167 remove cons 7476 remove 12131 remove cons cons nil cons cons 3494 remove subst appThm 12137 remove 12163 ref appTerm refl appThm nil 3500 remove 12169 ref cons 3502 ref 12171 remove nil cons cons 3504 remove 12128 remove cons nil cons cons cons nil cons cons 3572 remove subst trans appThm 12173 remove appThm sym 63 ref 12172 ref 12163 remove appTerm 12174 def appTerm refl 12172 remove refl nil 3502 remove 12169 remove cons nil cons nil cons cons 4429 remove subst appThm appThm nil 198 ref 12174 remove nil cons cons nil cons nil cons cons 635 ref subst trans sym 100 ref eqMp eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp appThm eqMp 509 ref 659 ref 12153 remove nil cons cons 302 ref 6419 remove cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp eqMp nil 107 ref 12147 remove cons 109 ref 12134 remove cons nil cons 12175 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12145 remove cons 12175 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 416 ref 302 ref 64 ref 12140 ref 328 ref appTerm appTerm 12122 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12141 remove appTerm 12122 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 12140 remove nil cons cons 12175 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 12132 remove cons 12175 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 107 ref 12106 remove cons 109 ref 12089 ref cons nil cons 12176 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 107 ref 12101 remove cons 12176 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12097 remove cons 12176 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 291 remove 293 remove 64 ref 12083 ref 354 remove appTerm appTerm 12088 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12084 remove appTerm 12088 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 385 remove 386 remove 12083 remove nil cons cons 12176 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 59 ref 12089 remove cons 60 ref 64 ref 12076 remove appTerm 8243 ref appTerm nil cons cons nil cons 12177 def cons nil cons cons 152 ref subst proveHyp nil 659 ref 303 ref 64 ref 12075 ref 331 ref appTerm 12178 def appTerm 8243 ref appTerm 12179 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 303 ref nil 94 ref 12179 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12178 ref nil cons 12180 def cons 60 ref 12045 ref cons nil cons 12181 def cons nil cons cons 12182 def 81 ref subst 12182 remove 152 ref subst 12178 ref betaConv 12178 remove assume eqMp nil 59 ref 12074 ref nil cons 12183 def cons 12181 remove cons nil cons cons 12184 def 132 ref subst proveHyp 12184 ref 81 ref subst 12184 remove 152 ref subst 63 ref "_17267" 394 ref var 12185 def 8175 ref 12185 remove varTerm appTerm absTerm 12186 def 3636 ref appTerm 12187 def appTerm refl 12186 ref 12069 ref appTerm betaConv appThm 111 ref 12187 remove betaConv appThm 8175 ref 12069 ref appTerm refl appThm trans 12186 remove refl 12074 remove assume appThm eqMp sym 12113 remove 12069 remove refl appThm nil 3652 remove 12073 remove cons 4195 remove cons nil cons cons 7635 remove subst trans sym 8186 remove 12068 remove refl appThm nil 4421 remove 456 remove 3414 ref cons 4227 remove cons cons nil cons cons 6890 remove subst trans sym 6892 remove 11657 remove appThm 11501 remove appThm sym 8587 remove 11431 remove 6721 remove subst appThm sym 8700 remove 7496 remove subst sym 100 ref eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 107 ref 12183 remove cons 12046 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12180 remove cons 12046 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 416 ref 302 ref 64 ref 12075 ref 328 ref appTerm appTerm 8243 ref appTerm absTerm appTerm nil cons cons 12177 remove cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 12075 remove nil cons cons 12046 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp "A" 12048 ref nil cons cons nil cons 12188 def "P" 1 ref 12048 ref 17 ref cons opType 12189 def var 12190 def 12067 ref nil cons cons 12191 def "x" 12048 ref var 12192 def 12070 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 15 ref 1 ref 12189 remove 17 ref cons opType 12193 def constTerm 12194 def 12067 ref appTerm 12195 def nil cons cons 60 ref 15 remove 1 ref 1 ref 1 ref 394 ref 286 remove cons opType 12196 def 17 ref cons opType 12197 def 17 ref cons opType 12198 def constTerm "h" 12196 ref var 12199 def 12194 remove 12049 ref 70 ref 416 ref 302 ref 365 ref 12199 ref varTerm 12200 def 12051 ref 328 ref appTerm 12201 def appTerm appTerm 328 ref appTerm absTerm appTerm 12202 def appTerm 70 ref 574 ref 3635 ref 12087 ref 398 ref 12051 ref 12200 ref 3636 ref appTerm 12203 def appTerm 12204 def appTerm 3636 ref appTerm 12205 def appTerm absTerm 12206 def appTerm 12207 def appTerm 70 ref 416 ref 302 ref 8175 ref 12201 ref appTerm 12208 def absTerm 12209 def appTerm 12210 def appTerm 416 ref 302 ref 416 ref 303 ref 6918 ref 6793 ref 12201 ref appTerm 12211 def 12052 ref appTerm 12212 def appTerm 12213 def absTerm appTerm absTerm appTerm 12214 def appTerm 12215 def appTerm 12216 def appTerm 12217 def absTerm 12218 def appTerm 12219 def absTerm 12220 def appTerm 12221 def nil cons 12222 def cons nil cons 12223 def cons nil cons cons 132 ref subst proveHyp nil 12190 ref 12049 ref 64 ref 12067 ref 12051 ref appTerm 12224 def appTerm 12221 ref appTerm 12225 def absTerm nil cons cons nil cons nil cons cons 12188 ref 189 ref cons 260 ref subst 12226 def subst 12049 ref nil 94 ref 12225 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12224 ref nil cons 12227 def cons 12223 ref cons nil cons cons 12228 def 81 ref subst 12228 remove 152 ref subst 12224 ref betaConv 12224 remove assume eqMp nil 59 ref 12066 remove nil cons 12229 def cons 12223 remove cons nil cons cons 12230 def 132 ref subst proveHyp 12230 ref 81 ref subst 12230 remove 152 ref subst nil 107 ref 12056 remove nil cons 12231 def cons 109 ref 12065 ref nil cons 12232 def cons nil cons cons nil cons cons 12233 def 123 ref subst 12233 remove 687 ref subst 12220 ref 3635 ref 8274 remove 12053 ref appTerm 12234 def absTerm 12235 def appTerm betaConv sym "r'" 12048 remove var 12236 def 70 ref 416 ref 302 ref 365 remove 12235 ref 12236 remove varTerm 12237 def 328 ref appTerm 12238 def appTerm appTerm 328 ref appTerm absTerm appTerm appTerm 70 ref 574 ref 3635 ref 12087 remove 398 ref 12237 ref 12235 ref 3636 ref appTerm 12239 def appTerm appTerm 3636 ref appTerm appTerm absTerm appTerm appTerm 70 ref 416 ref 302 ref 8175 ref 12238 ref appTerm absTerm appTerm appTerm 416 ref 302 ref 416 ref 303 ref 6918 remove 6793 ref 12238 remove appTerm 12237 remove 331 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm absTerm 12240 def 12051 ref appTerm betaConv sym 652 ref 417 ref 302 ref 690 ref 12235 ref 12201 ref appTerm betaConv appThm 3031 ref appThm absThm appThm appThm 652 ref 3998 ref 3635 ref 651 ref 12055 ref 3636 ref appTerm 12241 def betaConv nil 59 ref 12231 remove cons 60 ref 12241 remove nil cons cons nil cons cons nil cons cons 132 ref subst 3623 ref 3622 ref 12055 remove nil cons cons 3635 ref 11867 ref cons nil cons 12242 def cons nil cons cons 163 ref subst eqMp eqMp 12243 def appThm 3626 ref 12051 ref refl 12239 remove betaConv appThm appThm 8301 ref appThm appThm absThm appThm appThm 652 ref 417 ref 302 ref nil 3635 ref 12201 ref nil cons cons nil cons nil cons cons 12244 def 12243 remove subst absThm appThm appThm 417 ref 302 ref 417 ref 303 ref 111 ref nil 3420 ref 3414 remove cons 12245 def 11478 remove nil cons cons nil cons cons 12246 def 12062 ref 3424 ref appTerm 12247 def betaConv 12064 ref 331 ref appTerm 12248 def betaConv nil 59 ref 12232 remove cons 60 ref 12248 remove nil cons cons nil cons cons nil cons cons 132 ref subst 509 ref 659 ref 12064 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12063 remove nil cons cons 60 ref 12247 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 12062 remove nil cons cons 3493 ref cons nil cons cons 163 ref subst eqMp eqMp 12249 def subst 12250 def appThm 12212 ref refl appThm nil 198 ref 12212 ref nil cons cons nil cons nil cons cons 635 ref subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans appThm nil 94 ref 416 ref 302 ref 1109 ref 303 ref 398 ref 12201 ref appTerm 12052 ref appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 1385 ref subst trans appThm appThm sym 417 ref 303 ref 417 ref 3420 ref 111 ref nil 3999 ref 12060 ref nil cons cons 3635 ref 12052 ref nil cons cons nil cons 12251 def cons nil cons cons 3999 ref 63 ref 7791 remove appTerm 7789 remove appTerm 12252 def absTerm 12253 def 4000 ref appTerm 12254 def betaConv 3635 ref 574 ref 12253 ref appTerm 12255 def absTerm 12256 def 3636 ref appTerm 12257 def betaConv 3998 ref 3635 ref 3998 ref 3999 ref 12252 remove assume sym 7792 remove assume sym deductAntisym absThm appThm absThm appThm 7785 remove eqMp nil 59 ref 574 ref 12256 ref appTerm nil cons cons 60 ref 12257 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 12256 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12255 remove nil cons cons 60 ref 12254 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 12253 remove nil cons cons 3635 ref 11868 ref cons nil cons 12258 def cons nil cons cons 163 ref subst eqMp eqMp subst appThm nil 303 ref 3492 remove cons 12259 def 3415 ref cons nil cons cons 8585 remove subst 652 ref 12249 ref appThm nil 12245 remove 12259 remove nil cons cons nil cons cons 12249 remove subst appThm trans appThm nil 198 ref 70 ref 12061 remove appTerm 6793 ref 12060 ref appTerm 12052 ref appTerm appTerm nil cons cons nil cons nil cons cons 635 ref subst trans absThm appThm 554 ref trans absThm appThm 554 ref trans sym 100 ref eqMp 652 ref 417 ref 302 ref 690 remove 8517 remove 303 ref 12246 remove 3420 remove 63 ref 398 ref 12052 ref appTerm 12060 remove appTerm appTerm 3527 remove appTerm absTerm 12260 def 3424 remove appTerm 12261 def betaConv 303 ref 416 ref 12260 ref appTerm 12262 def absTerm 12263 def 331 ref appTerm 12264 def betaConv nil 59 ref 416 ref 12263 ref appTerm nil cons cons 60 ref 12264 remove nil cons cons nil cons cons nil cons cons 132 ref subst 509 ref 659 ref 12263 remove nil cons cons 3415 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12262 remove nil cons cons 60 ref 12261 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 12260 remove nil cons cons 3493 remove cons nil cons cons 163 ref subst eqMp eqMp subst absThm 12265 def appThm 547 ref 6800 remove subst trans appThm 3031 remove appThm 550 remove trans absThm appThm 554 ref trans appThm 70 ref 574 ref 3635 ref 64 ref 12054 ref appTerm 398 ref 12051 ref 12234 ref appTerm appTerm 3636 ref appTerm 12266 def appTerm 12267 def absTerm 12268 def appTerm 12269 def appTerm refl 417 ref 302 ref 7248 ref 12265 remove appThm nil 4383 remove nil cons cons 547 remove 5695 remove subst subst trans absThm appThm 554 ref trans appThm nil 94 ref 12269 remove nil cons cons nil cons nil cons cons 12270 def 1385 ref subst trans appThm 12270 remove 874 ref subst trans sym nil 3622 ref 12268 remove nil cons cons nil cons nil cons cons 3625 ref subst 3635 ref nil 94 ref 12267 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12054 remove nil cons 12271 def cons 12272 def 60 ref 12266 remove nil cons 12273 def cons nil cons cons nil cons cons 12274 def 81 ref subst 12274 remove 152 ref subst 12053 ref 12234 remove appTerm 12275 def betaConv nil 12272 remove 60 ref 12275 remove nil cons cons nil cons cons nil cons cons 132 ref subst 509 ref 8459 remove 12053 remove nil cons cons nil cons nil cons cons 8509 remove subst eqMp eqMp sym eqMp nil 107 ref 12271 remove cons 109 ref 12273 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp proveHyp eqMp eqMp 12188 ref 12190 ref 12240 remove nil cons cons 12192 ref 12051 ref nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp "A" 12196 ref nil cons cons nil cons 12276 def "P" 12197 remove var 12277 def 12220 ref nil cons cons 12278 def "x" 12196 remove var 12279 def 12235 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp proveHyp proveHyp eqMp nil 107 ref 12229 remove cons 109 ref 12222 ref cons nil cons 12280 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12227 remove cons 12280 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 0 ref 12193 remove constTerm 12281 def 12192 ref 64 ref 12067 remove 12192 ref varTerm 12282 def appTerm appTerm 12221 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12195 remove appTerm 12221 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 12188 ref 12191 remove 12280 remove cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 12222 remove cons 11995 ref cons nil cons cons 132 ref subst proveHyp nil 12277 remove 12199 ref 64 ref 12220 ref 12200 ref appTerm 12283 def appTerm 11986 ref appTerm 12284 def absTerm nil cons cons nil cons nil cons cons 12276 ref 189 ref cons 260 ref subst subst 12199 remove nil 94 ref 12284 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12283 ref nil cons 12285 def cons 11995 ref cons nil cons cons 12286 def 81 ref subst 12286 remove 152 ref subst 12283 ref betaConv 12283 remove assume eqMp nil 59 ref 12219 ref nil cons cons 11995 ref cons nil cons cons 132 ref subst proveHyp nil 12190 ref 12049 ref 64 ref 12218 ref 12051 ref appTerm 12287 def appTerm 11986 ref appTerm 12288 def absTerm nil cons cons nil cons nil cons cons 12226 remove subst 12049 remove nil 94 ref 12288 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12287 ref nil cons 12289 def cons 11995 ref cons nil cons cons 12290 def 81 ref subst 12290 remove 152 ref subst 12287 ref betaConv 12287 remove assume eqMp nil 59 ref 12217 remove nil cons 12291 def cons 11995 ref cons nil cons cons 12292 def 132 ref subst proveHyp 12292 ref 81 ref subst 12292 remove 152 ref subst nil 107 ref 12202 remove nil cons cons 109 ref 12216 remove nil cons cons nil cons cons nil cons cons 687 ref subst nil 107 ref 12207 remove nil cons 12293 def cons 109 ref 12215 remove nil cons cons nil cons cons nil cons cons 12294 def 123 ref subst 12294 remove 687 ref subst nil 107 ref 12210 remove nil cons 12295 def cons 109 ref 12214 remove nil cons cons nil cons cons nil cons cons 12296 def 123 ref subst 12296 remove 687 ref subst 659 ref 64 ref 70 ref 1110 remove appTerm 1109 ref "M" 285 ref var 12297 def 416 ref 302 ref 64 ref 1105 remove appTerm 12298 def 6893 ref 12297 ref varTerm 12299 def appTerm 12300 def appTerm absTerm appTerm 12301 def absTerm appTerm appTerm appTerm 1109 ref 12297 ref 70 ref 12301 remove appTerm 416 ref "M'" 285 ref var 12302 def 64 ref 416 ref 302 ref 12298 remove 6893 ref 12302 ref varTerm 12303 def appTerm 12304 def appTerm absTerm appTerm appTerm 6778 ref 12299 ref appTerm 12303 ref appTerm 12305 def appTerm absTerm appTerm appTerm absTerm appTerm appTerm absTerm 12306 def 303 ref 3633 ref 12052 remove appTerm 12307 def absTerm 12308 def appTerm 12309 def betaConv nil 3377 ref "Q" 362 remove var 12310 def 64 ref 70 ref 1109 ref 302 ref 12310 ref varTerm 12311 def 328 ref appTerm 12312 def absTerm appTerm appTerm 1109 ref 12297 ref 416 ref 302 ref 64 ref 12312 remove appTerm 12313 def 12300 ref appTerm absTerm appTerm 12314 def absTerm appTerm appTerm appTerm 1109 ref 12297 ref 70 ref 12314 remove appTerm 416 ref 12302 ref 64 ref 416 ref 302 ref 12313 ref 12304 ref appTerm absTerm appTerm appTerm 12315 def 12305 ref appTerm absTerm appTerm appTerm absTerm appTerm appTerm 12316 def absTerm nil cons cons nil cons nil cons cons 3376 ref 189 remove cons 260 remove subst subst 12310 remove nil 94 ref 12316 remove nil cons 12317 def cons nil cons nil cons cons 101 ref subst 219 ref 12311 ref 714 ref appTerm absTerm 12318 def refl nil 59 ref 220 ref 12318 ref appTerm 12318 ref appTerm nil cons cons 60 ref 12317 ref cons nil cons 12319 def cons nil cons cons 132 ref subst proveHyp nil 243 ref 12318 ref nil cons cons nil cons nil cons cons nil 59 ref 220 remove 243 ref varTerm 12320 def appTerm 12318 ref appTerm 12321 def nil cons 12322 def cons 12319 remove cons nil cons cons 12323 def 81 ref subst 12323 remove 152 ref subst 651 ref 652 ref 7239 ref 219 ref 63 ref 12320 ref 233 ref appTerm 12324 def appTerm refl 12318 remove 233 ref appTerm betaConv appThm 12321 remove assume 6695 ref appThm eqMp 12325 def absThm appThm nil 659 ref 12311 ref nil cons cons nil cons nil cons cons 7251 ref subst trans appThm 7239 ref "M" 214 ref var 12326 def 706 ref 219 ref 651 ref 12325 remove appThm 12327 def nil 307 ref 12326 ref varTerm 12328 def nil cons 12329 def cons nil cons nil cons cons 7158 ref subst appThm absThm appThm 111 ref 706 ref 219 ref "_16701" 285 ref var 12330 def 64 ref 12311 ref 12330 remove varTerm 12331 def appTerm appTerm 6778 ref 12331 remove appTerm 305 ref 232 ref 12328 ref appTerm appTerm 12332 def appTerm appTerm absTerm 12333 def 714 ref appTerm betaConv absThm appThm appThm 417 ref 302 ref 12333 ref 328 ref appTerm betaConv absThm appThm appThm nil 659 ref 12333 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans 12334 def absThm appThm 111 ref 7239 ref 12326 ref "_16703" 285 ref var 12335 def 416 ref 302 ref 12313 ref 6893 ref 12335 remove varTerm appTerm appTerm absTerm appTerm absTerm 12336 def 12332 ref appTerm betaConv absThm appThm appThm 7248 ref 12297 ref 12336 ref 12299 ref appTerm betaConv absThm appThm appThm nil 659 ref 12336 remove nil cons cons nil cons nil cons cons 7251 ref subst eqMp trans appThm appThm 7239 ref 12326 ref 652 ref 12334 remove appThm 706 ref "M'" 214 ref var 12337 def 651 ref 706 ref 219 ref 12327 remove nil 307 ref 12337 ref varTerm 12338 def nil cons cons 12339 def nil cons nil cons cons 7158 ref subst appThm absThm appThm 111 ref 706 ref 219 ref "_16715" 285 ref var 12340 def 64 ref 12311 remove 12340 remove varTerm 12341 def appTerm appTerm 6778 ref 12341 remove appTerm 305 remove 232 ref 12338 ref appTerm appTerm 12342 def appTerm appTerm absTerm 12343 def 714 remove appTerm betaConv absThm appThm appThm 417 ref 302 ref 12343 ref 328 ref appTerm betaConv absThm appThm appThm nil 659 ref 12343 remove nil cons cons nil cons nil cons cons 3380 ref subst eqMp trans appThm nil 12339 remove 219 ref 12329 remove cons nil cons cons nil cons cons 7158 remove subst appThm absThm appThm 111 ref 706 ref 12337 ref "_16717" 285 ref var 12344 def 64 ref 416 ref 302 ref 12313 ref 6893 ref 12344 remove varTerm 12345 def appTerm appTerm absTerm appTerm appTerm 6778 ref 12332 ref appTerm 12345 remove appTerm appTerm absTerm 12346 def 12342 remove appTerm betaConv absThm appThm appThm 417 ref 12302 ref 12346 ref 12303 ref appTerm betaConv absThm appThm appThm nil 659 ref 12346 remove nil cons cons nil cons nil cons cons 3380 remove subst eqMp trans appThm absThm appThm 111 ref 7239 ref 12326 ref "_16719" 285 ref var 12347 def 70 ref 416 ref 302 ref 12313 remove 6893 ref 12347 remove varTerm 12348 def appTerm appTerm absTerm appTerm appTerm 416 ref 12302 ref 12315 remove 6778 ref 12348 remove appTerm 12303 ref appTerm appTerm absTerm appTerm appTerm absTerm 12349 def 12332 remove appTerm betaConv absThm appThm appThm 7248 ref 12297 ref 12349 ref 12299 remove appTerm betaConv absThm appThm appThm nil 659 ref 12349 remove nil cons cons nil cons nil cons cons 7251 remove subst eqMp trans appThm nil 59 ref 70 ref 218 ref 219 ref 12324 ref absTerm 12350 def appTerm 12351 def appTerm 218 ref 12326 ref 705 ref 219 ref 64 ref 12324 ref appTerm 12352 def 6769 ref 12328 ref appTerm appTerm absTerm appTerm 12353 def absTerm 12354 def appTerm 12355 def appTerm nil cons 12356 def cons 60 ref 218 ref 12326 remove 70 ref 12353 remove appTerm 705 ref 12337 ref 64 ref 705 ref 219 ref 12352 ref 6769 ref 12338 ref appTerm appTerm absTerm appTerm appTerm 12357 def 6768 ref 12328 remove appTerm 12338 ref appTerm appTerm absTerm appTerm appTerm absTerm 12358 def appTerm 12359 def nil cons 12360 def cons nil cons 12361 def cons nil cons cons 12362 def 81 ref subst 12362 remove 152 ref subst nil 107 ref 12351 ref nil cons 12363 def cons 109 ref 12355 ref nil cons 12364 def cons nil cons cons nil cons cons 12365 def 123 ref subst 12365 remove 687 ref subst nil 59 ref 12363 remove cons 12361 ref cons nil cons cons 132 ref subst nil 243 ref 3116 ref 64 ref 12350 ref 3117 ref appTerm 12366 def appTerm 12359 ref appTerm 12367 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 3116 remove nil 94 ref 12367 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12366 ref nil cons 12368 def cons 12361 ref cons nil cons cons 12369 def 81 ref subst 12369 remove 152 ref subst 12366 ref betaConv 12366 remove assume eqMp nil 59 ref 12320 ref 3117 ref appTerm 12370 def nil cons 12371 def cons 12361 ref cons nil cons cons 12372 def 132 ref subst proveHyp 12372 ref 81 ref subst 12372 remove 152 ref subst nil 59 ref 12364 remove cons 12361 ref cons nil cons cons 132 ref subst nil 243 ref "m" 214 ref var 12373 def 64 ref 12354 ref 12373 ref varTerm 12374 def appTerm 12375 def appTerm 12359 ref appTerm 12376 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 12373 remove nil 94 ref 12376 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12375 ref nil cons 12377 def cons 12361 ref cons nil cons cons 12378 def 81 ref subst 12378 remove 152 ref subst 12375 ref betaConv 12375 remove assume eqMp nil 59 ref 705 ref 219 ref 12352 ref 6769 ref 12374 ref appTerm appTerm absTerm 12379 def appTerm nil cons 12380 def cons 12381 def 12361 ref cons nil cons cons 12382 def 132 ref subst proveHyp 12382 ref 81 ref subst 12382 remove 152 ref subst nil 135 ref 7 ref 20 ref 9645 ref 70 ref 218 ref 219 ref 70 ref 12324 ref appTerm 12383 def 6768 ref 4181 ref 9646 ref appTerm appTerm 4444 ref 11570 ref appTerm 12384 def 233 ref appTerm 12385 def appTerm appTerm absTerm appTerm appTerm 22 ref "r'" 3 ref var 12386 def 64 ref 218 ref 219 ref 12383 ref 6768 ref 4181 ref 12386 ref varTerm 12387 def appTerm appTerm 12385 ref appTerm appTerm absTerm appTerm 12388 def appTerm 12389 def 26 ref 12387 ref appTerm 12390 def 9646 ref appTerm 12391 def appTerm absTerm appTerm 12392 def appTerm absTerm 12393 def appTerm 12394 def absTerm 12395 def nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 12394 remove nil cons cons nil cons nil cons cons 101 ref subst 111 ref 48 ref 9645 ref 652 ref 12386 ref 12388 remove absTerm 12396 def 9646 ref appTerm betaConv appThm 49 ref 12386 ref 651 ref 12396 ref 12387 remove appTerm betaConv 12397 def appThm 12391 remove refl appThm absThm appThm 12398 def appThm absThm appThm appThm 652 ref 48 ref 12386 ref 12397 remove absThm appThm appThm 48 ref 9645 ref 12398 remove absThm appThm appThm appThm nil 4875 ref 12396 ref nil cons 12399 def cons nil cons nil cons cons 4875 ref 63 ref 20 ref 23 ref 70 ref 4877 ref 31 ref appTerm appTerm 22 ref 7 ref 4879 remove 5542 remove appTerm absTerm appTerm 12400 def appTerm absTerm appTerm 12401 def appTerm 70 ref 20 ref 4880 remove appTerm appTerm 20 ref 23 ref 12400 remove absTerm appTerm appTerm 12402 def appTerm 12403 def absTerm 12404 def 4877 remove appTerm 12405 def betaConv 4883 ref refl 4875 ref 12403 remove assume sym 63 ref 12402 remove appTerm 12401 remove appTerm 12406 def assume sym deductAntisym absThm appThm nil 4883 ref 4875 ref 12406 remove absTerm appTerm axiom eqMp nil 59 ref 4883 remove 12404 ref appTerm nil cons cons 60 ref 12405 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 4885 remove 4886 remove 12404 remove nil cons cons 4887 remove cons nil cons cons 163 ref subst eqMp eqMp subst eqMp sym 12396 ref 8 ref appTerm betaConv sym 219 ref 12383 ref 6768 ref 4236 ref appTerm 12385 ref appTerm appTerm absTerm 12407 def 3117 ref appTerm betaConv sym 652 ref nil 94 ref 12371 ref cons nil cons nil cons cons 101 ref subst 12370 remove assume eqMp appThm nil 219 ref 12384 ref 3117 ref appTerm nil cons cons nil cons nil cons cons 4242 remove 6983 ref subst 48 ref 21 ref 49 ref 7 ref 50 ref 10625 remove 3282 ref appThm 53 remove trans appThm 6987 ref refl appThm nil 7 ref 6987 remove nil cons cons nil cons nil cons cons 185 remove subst trans absThm appThm 203 remove trans absThm appThm 209 remove trans trans 12408 def subst appThm 875 ref trans sym 100 ref eqMp eqMp 242 ref 243 ref 12407 remove nil cons cons 219 ref 3117 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 12399 remove cons 4832 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 12396 remove appTerm nil cons cons 60 ref 20 ref 9645 ref 12392 remove absTerm 12409 def appTerm 12410 def nil cons 12411 def cons nil cons 12412 def cons nil cons cons 152 ref subst proveHyp 219 ref 20 ref 7 ref 6769 ref 11570 ref appTerm absTerm appTerm absTerm 12413 def 12374 ref appTerm 12414 def betaConv 706 ref 219 ref 48 ref 7 ref nil 11572 ref nil cons nil cons cons 6983 ref subst 48 ref 21 ref 49 ref 864 ref 26 ref 5971 remove appTerm refl 11633 remove appThm absThm appThm absThm appThm trans absThm appThm 6008 remove trans absThm appThm 3120 remove trans sym 100 ref eqMp 12415 def nil 59 ref 705 ref 12413 ref appTerm nil cons cons 12416 def 60 ref 12414 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12413 ref nil cons cons 12417 def 219 ref 12374 ref nil cons cons nil cons 12418 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 20 ref 7 ref 6768 ref 12374 ref appTerm 12419 def 11570 ref appTerm absTerm 12420 def appTerm 12421 def nil cons cons 12412 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 8870 ref 64 ref 12420 ref 8871 ref appTerm 12422 def appTerm 12410 ref appTerm 12423 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 12423 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12422 ref nil cons 12424 def cons 12412 ref cons nil cons cons 12425 def 81 ref subst 12425 remove 152 ref subst 12422 ref betaConv 12422 remove assume eqMp nil 59 ref 12419 remove 8872 ref appTerm 12426 def nil cons 12427 def cons 12412 remove cons nil cons cons 12428 def 132 ref subst proveHyp 12428 ref 81 ref subst 12428 remove 152 ref subst 12409 ref 35 ref 8871 ref appTerm 12429 def appTerm betaConv sym nil 135 ref 879 ref 64 ref 218 ref 219 ref 12383 ref 6768 ref 4181 ref 883 ref appTerm 12430 def appTerm 12431 def 12385 ref appTerm appTerm absTerm 12432 def appTerm appTerm 9863 remove 12429 ref appTerm 12433 def appTerm 12434 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 12434 remove nil cons 12435 def cons nil cons nil cons cons 101 ref subst nil 243 ref "w" 214 ref var 12436 def 64 ref 12432 ref 12436 ref varTerm 12437 def appTerm 12438 def appTerm 12433 ref appTerm 12439 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 12436 remove nil 94 ref 12439 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12438 ref nil cons 12440 def cons 60 ref 12433 ref nil cons 12441 def cons nil cons 12442 def cons nil cons cons 12443 def 81 ref subst 12443 remove 152 ref subst 12438 ref betaConv 12438 remove assume eqMp nil 59 ref 70 ref 12320 remove 12437 ref appTerm 12444 def appTerm 12431 ref 12384 ref 12437 ref appTerm 12445 def appTerm 12446 def appTerm nil cons 12447 def cons 12442 remove cons nil cons cons 12448 def 132 ref subst proveHyp 12448 ref 81 ref subst 12448 remove 152 ref subst nil 107 ref 12444 remove nil cons 12449 def cons 109 ref 12446 ref nil cons 12450 def cons nil cons cons nil cons cons 12451 def 123 ref subst 12451 remove 687 ref subst nil 7 ref 12429 ref nil cons 12452 def cons 23 ref 902 remove cons nil cons cons nil cons cons 7 ref 5546 remove 11629 remove appTerm 12453 def absTerm 12454 def 34 ref appTerm 12455 def betaConv 23 ref 22 ref 12454 ref appTerm 12456 def absTerm 12457 def 31 ref appTerm 12458 def betaConv 49 ref 23 ref 49 ref 7 ref 12453 remove assume sym 11630 remove assume sym deductAntisym absThm appThm absThm appThm 11643 remove eqMp nil 59 ref 22 ref 12457 ref appTerm nil cons cons 60 ref 12458 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12457 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12456 remove nil cons cons 60 ref 12455 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12454 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 12459 def subst sym 307 ref 70 ref 12431 ref 320 ref appTerm appTerm 7683 ref 4181 ref 12429 remove appTerm 12460 def appTerm 12461 def appTerm absTerm 12462 def 12445 ref appTerm betaConv sym 652 ref nil 94 ref 12450 remove cons nil cons nil cons cons 101 ref subst 12446 remove assume eqMp appThm 6768 ref 12445 ref appTerm 12463 def 12460 ref appTerm 12464 def refl appThm nil 94 ref 12464 remove nil cons 12465 def cons nil cons nil cons cons 874 ref subst trans sym 307 ref 70 ref 12463 ref 320 ref appTerm appTerm 12461 remove appTerm absTerm 12466 def 12384 ref 8872 ref appTerm 12467 def appTerm betaConv sym 307 ref 70 ref 6768 ref 12437 ref appTerm 12468 def 320 ref appTerm appTerm 7683 ref 8872 ref appTerm appTerm absTerm 12469 def 12374 ref appTerm betaConv sym 70 ref 12468 ref 12374 remove appTerm 12470 def appTerm refl nil 94 ref 12427 ref cons nil cons nil cons cons 101 ref subst 12426 remove assume eqMp appThm nil 94 ref 12470 remove nil cons 12471 def cons nil cons nil cons cons 1385 ref subst trans sym nil 59 ref 12449 remove cons 60 ref 12471 remove cons nil cons cons nil cons cons 132 ref subst nil 219 ref 12437 remove nil cons 12472 def cons nil cons 12473 def nil cons cons 12379 ref 233 ref appTerm 12474 def betaConv nil 12381 remove 60 ref 12474 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 243 ref 12379 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp eqMp 242 ref 243 ref 12469 ref nil cons cons 12418 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12469 remove appTerm nil cons cons 60 ref 12468 remove 8872 ref appTerm nil cons 12475 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 8942 ref cons 12476 def 12473 remove cons nil cons cons 756 ref 64 ref 218 ref 307 ref 7682 remove 7683 ref 758 ref appTerm 12477 def appTerm 12478 def absTerm 12479 def appTerm 12480 def appTerm 12481 def 6769 ref 758 ref appTerm 12482 def appTerm 12483 def absTerm 12484 def 758 ref appTerm 12485 def betaConv 219 ref 705 ref 12484 ref appTerm 12486 def absTerm 12487 def 233 ref appTerm 12488 def betaConv nil 243 ref 219 ref 705 ref 307 ref 705 ref 756 ref 64 ref 12478 ref appTerm 12482 ref appTerm 12489 def absTerm 12490 def appTerm 12491 def absTerm 12492 def appTerm 12493 def absTerm 12494 def nil cons cons 12495 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 12493 remove nil cons 12496 def cons nil cons nil cons cons 101 ref subst nil 243 ref 12492 ref nil cons cons 12497 def nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 12491 remove nil cons 12498 def cons nil cons nil cons cons 101 ref subst nil 243 ref 12490 ref nil cons cons 12499 def nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 12489 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref 7689 remove 817 ref 6983 ref subst appThm appThm 820 remove 6983 ref subst appThm sym nil 59 ref 7691 remove 20 ref 21 ref 22 ref 7 ref 6009 ref 38 ref 822 remove appTerm 12500 def 36 ref appTerm 12501 def appTerm absTerm appTerm absTerm 12502 def appTerm 12503 def appTerm nil cons 12504 def cons 60 ref 20 ref 21 ref 22 ref 7 ref 5954 ref 12501 remove appTerm absTerm appTerm absTerm 12505 def appTerm 12506 def nil cons 12507 def cons nil cons 12508 def cons nil cons cons 12509 def 81 ref subst 12509 remove 152 ref subst nil 7704 remove 109 ref 12503 ref nil cons 12510 def cons nil cons cons nil cons cons 12511 def 123 ref subst 12511 remove 687 ref subst nil 7043 remove 12508 ref cons nil cons cons 132 ref subst nil 135 ref 837 ref 7708 remove 12506 ref appTerm 12512 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 837 remove nil 94 ref 12512 remove nil cons cons nil cons nil cons cons 101 ref subst nil 7711 remove 12508 ref cons nil cons cons 12513 def 81 ref subst 12513 remove 152 ref subst 7713 remove nil 7718 remove 12508 ref cons nil cons cons 12514 def 132 ref subst proveHyp 12514 ref 81 ref subst 12514 remove 152 ref subst nil 59 ref 12510 remove cons 12508 ref cons nil cons cons 132 ref subst nil 135 ref 849 ref 64 ref 12502 ref 850 ref appTerm 12515 def appTerm 12506 ref appTerm 12516 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 849 remove nil 94 ref 12516 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12515 ref nil cons 12517 def cons 12508 ref cons nil cons cons 12518 def 81 ref subst 12518 remove 152 ref subst 12515 ref betaConv 12515 remove assume eqMp nil 59 ref 22 ref 7 ref 6009 remove 12500 ref 850 remove appTerm 12519 def appTerm 12520 def absTerm 12521 def appTerm nil cons 12522 def cons 12523 def 12508 remove cons nil cons cons 12524 def 132 ref subst proveHyp 12524 ref 81 ref subst 12524 remove 152 ref subst 12505 ref 7055 remove 838 remove appTerm 12525 def appTerm betaConv sym nil 135 ref 7 ref 5954 remove 12500 remove 12525 ref appTerm 12526 def appTerm 12527 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 12527 remove nil cons 12528 def cons nil cons nil cons cons 101 ref subst 7736 remove nil 881 remove 3207 remove 23 ref 909 remove cons 12529 def nil cons cons cons nil cons cons 3486 ref subst appThm nil 879 ref 12519 remove nil cons cons 3208 remove 5790 remove cons cons nil cons cons 7077 ref subst nil 94 ref 12520 remove nil cons cons nil cons nil cons cons 101 ref subst 12521 ref 34 ref appTerm 12530 def betaConv nil 12523 remove 60 ref 12530 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 12521 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp trans trans sym 100 ref eqMp nil 59 ref 7735 remove 12526 ref appTerm nil cons cons 60 ref 12528 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 12526 remove nil cons cons nil cons nil cons cons 7747 remove subst eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 12505 remove nil cons cons 136 ref 12525 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 12522 remove cons 109 ref 12507 remove cons nil cons 12531 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12517 remove cons 12531 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 12502 ref 1065 ref appTerm appTerm 12506 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12503 remove appTerm 12506 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12502 remove nil cons cons 12531 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 7758 remove 12531 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 7759 remove 12531 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 7105 remove 12506 ref appTerm absTerm appTerm nil cons cons 60 ref 7106 remove 12506 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 7108 remove 12531 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 12504 remove cons 12531 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 12532 def nil 59 ref 705 ref 12494 ref appTerm 12533 def nil cons 12534 def cons 12535 def 60 ref 705 ref 12487 ref appTerm nil cons 12536 def cons nil cons cons nil cons cons 12537 def 132 ref subst proveHyp 12537 ref 81 ref subst 12537 remove 152 ref subst nil 243 ref 12487 remove nil cons cons 12538 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 12486 remove nil cons 12539 def cons nil cons nil cons cons 101 ref subst nil 243 ref 12484 remove nil cons cons 12540 def nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 12483 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12480 remove nil cons 12541 def cons 12542 def 60 ref 12482 ref nil cons 12543 def cons nil cons 12544 def cons nil cons cons 12545 def 81 ref subst 12545 remove 152 ref subst nil 12535 ref 12544 ref cons nil cons cons 12546 def 132 ref subst nil 12542 remove 60 ref 64 ref 12533 ref appTerm 12547 def 12482 ref appTerm 12548 def nil cons 12549 def cons nil cons 12550 def cons nil cons cons 132 ref subst nil 243 ref 307 ref 64 ref 12479 ref 320 ref appTerm 12551 def appTerm 12548 ref appTerm 12552 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 12552 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12551 ref nil cons 12553 def cons 12550 ref cons nil cons cons 12554 def 81 ref subst 12554 remove 152 ref subst 12551 ref betaConv 12551 remove assume eqMp nil 59 ref 12478 remove nil cons 12555 def cons 12556 def 12550 remove cons nil cons cons 12557 def 132 ref subst proveHyp 12557 ref 81 ref subst 12557 remove 152 ref subst 12546 ref 81 ref subst 12546 remove 152 ref subst nil 12556 remove 12544 ref cons nil cons cons 12558 def 132 ref subst 12490 remove 758 ref appTerm 12559 def betaConv 12492 remove 320 ref appTerm 12560 def betaConv 12494 remove 233 ref appTerm 12561 def betaConv nil 12535 ref 60 ref 12561 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 12495 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12496 remove cons 60 ref 12560 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 12497 remove 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12498 remove cons 60 ref 12559 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 12499 remove 6307 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 12534 ref cons 12562 def 109 ref 12543 ref cons nil cons 12563 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 12555 remove cons 109 ref 12549 remove cons nil cons 12564 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12553 remove cons 12564 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 ref 64 ref 12479 ref 237 ref appTerm appTerm 12548 ref appTerm absTerm appTerm nil cons cons 60 ref 12481 remove 12548 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12479 remove nil cons cons 12564 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 12541 remove cons 12563 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 12562 ref 109 ref 12536 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 12536 remove cons 60 ref 12488 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 12538 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12539 remove cons 60 ref 12485 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 12540 remove 6307 ref cons nil cons cons 163 ref subst eqMp eqMp 12565 def subst eqMp nil 59 ref 12475 remove cons 60 ref 12463 remove 12467 ref appTerm nil cons 12566 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 12476 remove 307 ref 12472 remove cons 11620 ref cons cons nil cons cons nil 59 ref 12477 ref nil cons 12567 def cons 12568 def 60 ref 6768 ref 4446 remove appTerm 12569 def 6463 ref appTerm 12570 def nil cons 12571 def cons nil cons 12572 def cons nil cons cons 12573 def 81 ref subst 12573 remove 152 ref subst nil 12568 ref 60 ref 218 ref 7240 ref 3445 remove 707 ref 7241 ref appTerm 12574 def appTerm 12575 def absTerm 12576 def appTerm 12577 def nil cons 12578 def cons nil cons cons nil cons cons 132 ref subst 817 remove 7463 ref subst eqMp nil 59 ref 12578 remove cons 12572 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 7240 ref 64 ref 12576 ref 7241 ref appTerm 12579 def appTerm 12570 ref appTerm 12580 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 7240 ref nil 94 ref 12580 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12579 ref nil cons 12581 def cons 12572 ref cons nil cons cons 12582 def 81 ref subst 12582 remove 152 ref subst 12579 ref betaConv 12579 remove assume eqMp nil 59 ref 12575 ref nil cons 12583 def cons 12572 ref cons nil cons cons 12584 def 132 ref subst proveHyp 12584 ref 81 ref subst 12584 remove 152 ref subst 3000 ref 70 ref 12569 remove 3001 ref appTerm appTerm 6768 ref 3001 ref appTerm 6463 ref appTerm appTerm absTerm 12585 def 6462 remove 4445 ref 7241 ref appTerm 12586 def appTerm 12587 def appTerm betaConv sym 652 ref nil 307 ref 12586 remove nil cons cons 4591 ref cons nil cons cons 7494 remove subst appThm 6768 ref 12587 ref appTerm 6463 ref appTerm 12588 def refl appThm nil 94 ref 12588 remove nil cons 12589 def cons nil cons nil cons cons 874 ref subst trans sym 3000 ref 70 ref 232 ref 12587 ref appTerm 12590 def 3001 ref appTerm appTerm 4646 remove 6463 ref appTerm appTerm absTerm 12591 def 4445 remove 12574 ref appTerm 12592 def appTerm betaConv sym 652 ref nil 307 ref 12592 ref nil cons 12593 def cons 219 ref 12587 remove nil cons cons nil cons 12594 def cons nil cons cons 806 ref subst appThm nil 6469 ref 219 ref 12593 remove cons nil cons 12595 def cons nil cons cons 806 ref subst appThm sym 652 ref nil 756 ref 7243 ref cons nil cons nil cons cons 6498 remove subst appThm 232 ref 6463 ref appTerm 12592 remove appTerm 12596 def refl appThm nil 94 ref 12596 remove nil cons 12597 def cons nil cons nil cons cons 874 ref subst trans sym 652 ref 745 ref appThm nil 94 ref 12583 ref cons nil cons nil cons cons 101 ref subst 12575 ref assume eqMp appThm 875 ref trans sym 100 ref eqMp nil 59 ref 3353 remove 12575 remove appTerm nil cons cons 60 ref 12597 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 3000 ref 12574 ref nil cons 12598 def cons 3361 remove 819 remove cons cons nil cons cons 6317 ref subst eqMp eqMp eqMp eqMp 242 ref 243 ref 12591 ref nil cons cons 12595 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12591 remove appTerm nil cons cons 60 ref 12590 remove 6463 ref appTerm nil cons 12599 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 6468 ref cons 12600 def 12594 ref cons nil cons cons 6311 ref subst eqMp nil 59 ref 12599 remove cons 60 ref 12589 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 6469 remove 12594 ref cons nil cons cons 651 ref 7690 remove appThm 6983 ref appThm sym nil 135 ref 21 ref 7763 remove 7002 ref appTerm 12601 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 21 ref nil 94 ref 12601 remove nil cons cons nil cons nil cons cons 101 ref subst nil 7766 remove 60 ref 7029 remove cons nil cons 12602 def cons nil cons cons 12603 def 81 ref subst 12603 remove 152 ref subst 7769 remove nil 7771 remove 12602 remove cons nil cons cons 12604 def 132 ref subst proveHyp 12604 ref 81 ref subst 12604 remove 152 ref subst 7778 remove eqMp nil 7779 remove 7030 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 7781 remove 7030 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 7782 remove 7002 ref appTerm absTerm appTerm nil cons cons 60 ref 7760 remove 7002 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 7755 remove 7030 remove cons nil cons cons 1090 ref subst eqMp eqMp 12605 def subst eqMp eqMp eqMp 242 ref 243 ref 12585 ref nil cons cons 12594 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12585 remove appTerm nil cons cons 12572 remove cons nil cons cons 132 ref subst proveHyp nil 12600 remove 4591 remove cons nil cons cons 12565 ref subst eqMp eqMp nil 107 ref 12583 remove cons 109 ref 12571 remove cons nil cons 12606 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12581 remove cons 12606 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 ref 64 ref 12576 ref 237 ref appTerm appTerm 12570 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12577 remove appTerm 12570 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12576 remove nil cons cons 12606 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 12567 ref cons 12606 remove cons nil cons cons 123 ref subst deductAntisym eqMp 12607 def subst eqMp nil 59 ref 12566 remove cons 60 ref 6768 ref 12467 ref appTerm 12460 ref appTerm nil cons cons nil cons 12608 def cons nil cons cons 152 ref subst proveHyp nil 8960 remove 167 ref cons nil cons cons 7 ref 232 ref 11666 remove appTerm 11665 remove appTerm 12609 def absTerm 12610 def 34 ref appTerm 12611 def betaConv 23 ref 22 ref 12610 ref appTerm 12612 def absTerm 12613 def 31 ref appTerm 12614 def betaConv 11669 remove nil 59 ref 22 ref 12613 ref appTerm nil cons cons 60 ref 12614 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12613 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12612 remove nil cons cons 60 ref 12611 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12610 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 12615 def subst nil 59 ref 232 ref 12467 ref appTerm 12460 ref appTerm nil cons cons 12608 remove cons nil cons cons 132 ref subst proveHyp nil 307 ref 12460 ref nil cons 12616 def cons 219 ref 12467 remove nil cons cons nil cons 12617 def cons nil cons cons 12605 ref subst eqMp eqMp eqMp 242 ref 243 ref 12466 ref nil cons cons 12617 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12466 remove appTerm nil cons cons 60 ref 12465 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 12616 remove cons 12618 def 219 ref 12445 remove nil cons cons nil cons 12619 def cons nil cons cons 12565 ref subst eqMp eqMp eqMp 242 ref 243 ref 12462 ref nil cons cons 12619 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12462 remove appTerm nil cons cons 60 ref 12431 ref 12460 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 12618 remove 219 ref 12430 ref nil cons 12620 def cons nil cons cons nil cons cons 12565 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 12447 remove cons 109 ref 12441 remove cons nil cons 12621 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12440 remove cons 12621 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 219 ref 64 ref 12432 ref 233 ref appTerm appTerm 12433 remove appTerm absTerm appTerm nil cons cons 60 ref 12435 remove cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12432 remove nil cons cons 12621 remove cons nil cons cons 1090 ref subst eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 12409 remove nil cons cons 136 ref 12452 remove cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 107 ref 12427 remove cons 109 ref 12411 remove cons nil cons 12622 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12424 remove cons 12622 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 12420 ref 1065 ref appTerm appTerm 12410 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12421 remove appTerm 12410 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12420 remove nil cons cons 12622 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp nil 59 ref 22 ref 12395 remove appTerm nil cons cons 12361 ref cons nil cons cons 132 ref subst 651 ref 111 ref 49 ref 7 ref 48 ref 9645 remove 7 ref 12393 ref absTerm 12623 def 34 ref appTerm betaConv 12624 def 9646 ref refl appThm 12393 ref 9646 remove appTerm betaConv trans absThm appThm absThm appThm appThm 7273 remove 7274 ref 49 ref 7 ref 12624 remove 7276 remove appThm 12393 remove 7275 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 7277 remove 12623 remove nil cons cons nil cons nil cons cons 7279 remove subst eqMp appThm 12359 ref refl appThm sym nil 3107 ref 3074 ref 64 ref 7274 remove 22 ref 7 ref 70 ref 218 ref 219 ref 12383 ref 6768 ref 4181 ref 7275 ref appTerm appTerm 12385 ref appTerm appTerm absTerm appTerm appTerm 22 ref 12386 ref 12389 ref 12390 ref 7275 remove appTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm 12625 def 3076 ref appTerm 12626 def appTerm 12359 ref appTerm 12627 def absTerm nil cons cons nil cons nil cons cons 3110 remove subst 3074 remove nil 94 ref 12627 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12626 ref nil cons 12628 def cons 12361 ref cons nil cons cons 12629 def 81 ref subst 12629 remove 152 ref subst 12626 ref betaConv 12626 remove assume eqMp nil 59 ref 22 ref 7 ref 70 ref 218 ref 219 ref 12383 ref 6768 ref 4181 ref 3076 ref 34 ref appTerm 12630 def appTerm 12631 def appTerm 12632 def 12385 ref appTerm 12633 def appTerm 12634 def absTerm 12635 def appTerm 12636 def appTerm 22 ref 12386 remove 12389 remove 12390 remove 12630 ref appTerm appTerm absTerm 12637 def appTerm 12638 def appTerm absTerm 12639 def appTerm nil cons 12640 def cons 12641 def 12361 ref cons nil cons cons 12642 def 132 ref subst proveHyp 12642 ref 81 ref subst 12642 remove 152 ref subst nil 135 ref 7 ref 12636 ref absTerm 12643 def nil cons cons 12644 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 12636 ref nil cons 12645 def cons nil cons nil cons cons 101 ref subst 12639 ref 34 ref appTerm 12646 def betaConv nil 12641 remove 60 ref 12646 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 12639 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp 12647 def nil 107 ref 12645 ref cons 109 ref 12638 ref nil cons 12648 def cons nil cons cons nil cons cons 12649 def 123 ref subst proveHyp eqMp absThm eqMp nil 59 ref 22 ref 12643 ref appTerm 12650 def nil cons 12651 def cons 12652 def 12361 remove cons nil cons cons 12653 def 132 ref subst proveHyp nil 135 ref 7 ref 12638 remove absTerm 12654 def nil cons cons 12655 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 12648 ref cons nil cons nil cons cons 101 ref subst 12647 remove 12649 remove 687 ref subst proveHyp eqMp absThm eqMp nil 59 ref 22 ref 12654 ref appTerm nil cons 12656 def cons 12657 def 60 ref 64 ref 12650 remove appTerm 12359 ref appTerm 12658 def nil cons 12659 def cons nil cons 12660 def cons nil cons cons 12661 def 132 ref subst proveHyp 12661 ref 81 ref subst 12661 remove 152 ref subst nil 135 ref 7 ref 64 ref 218 ref 219 ref 12383 remove 6768 ref 4181 ref 4811 ref 12630 ref appTerm 12662 def appTerm 12663 def appTerm 12664 def 12385 ref appTerm 12665 def appTerm 12666 def absTerm 12667 def appTerm 12668 def appTerm 12669 def 26 ref 12662 ref appTerm 12630 ref appTerm appTerm 12670 def absTerm 12671 def nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 12670 remove nil cons cons nil cons nil cons cons 101 ref subst 12637 ref 12662 ref appTerm 12672 def betaConv 12654 remove 34 ref appTerm 12673 def betaConv nil 12657 remove 60 ref 12673 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 12655 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12648 remove cons 60 ref 12672 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12637 remove nil cons cons 136 ref 12662 ref nil cons 12674 def cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp absThm eqMp nil 59 ref 22 ref 12671 remove appTerm nil cons cons 12660 ref cons nil cons cons 132 ref subst proveHyp 651 ref 49 ref 7 ref 12669 remove refl nil 7 ref 12630 ref nil cons 12675 def cons 12676 def 23 ref 12675 ref cons nil cons 12677 def cons nil cons cons 9159 ref 34 ref appTerm 12678 def betaConv 9161 ref 31 ref appTerm 12679 def betaConv 9163 remove nil 59 ref 9162 remove nil cons cons 60 ref 12679 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9161 remove nil cons cons 138 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 9160 remove nil cons cons 60 ref 12678 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 9159 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst nil 12676 ref nil cons nil cons cons 7 ref 1237 ref 7881 remove 34 ref appTerm 12680 def appTerm 12681 def absTerm 12682 def 34 ref appTerm 12683 def betaConv nil 22 ref 12682 ref appTerm 12684 def axiom nil 59 ref 12684 remove nil cons cons 60 ref 12683 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12682 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12681 remove nil cons cons 60 ref 63 ref 12680 ref appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 107 ref 12680 remove nil cons cons nil cons nil cons cons 1855 ref subst eqMp subst trans appThm nil 94 ref 12668 remove nil cons cons nil cons nil cons cons 1246 ref subst 111 ref 1443 ref 7239 ref 219 ref 12667 ref 233 ref appTerm betaConv 12685 def absThm appThm appThm appThm 706 ref 219 ref 1443 ref 12685 remove appThm absThm appThm appThm nil 10848 ref 12667 remove nil cons cons nil cons nil cons cons 726 ref 1487 remove subst subst eqMp trans trans absThm appThm appThm 12658 remove refl appThm sym nil 59 ref 22 ref 7 ref 705 ref 219 ref 1237 ref 12666 remove appTerm 12686 def absTerm 12687 def appTerm 12688 def absTerm 12689 def appTerm nil cons 12690 def cons 12691 def 12660 remove cons nil cons cons 12692 def 81 ref subst 12692 remove 152 ref subst 12653 ref 81 ref subst 12653 remove 152 ref subst nil 135 ref 7 ref 22 ref 8937 ref 26 ref 8964 remove 12630 ref appTerm 12693 def appTerm 12694 def 38 ref 35 ref 3076 ref 8938 ref appTerm 12695 def appTerm 12696 def appTerm 12697 def 34 ref appTerm 12698 def appTerm 12699 def absTerm 12700 def appTerm 12701 def absTerm 12702 def nil cons cons 12703 def nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 12701 remove nil cons 12704 def cons nil cons nil cons cons 101 ref subst nil 135 ref 12700 ref nil cons cons 12705 def nil cons nil cons cons 841 ref subst 8937 ref nil 94 ref 12699 ref nil cons 12706 def cons nil cons nil cons cons 101 ref subst 12707 def 12643 remove 34 ref appTerm 12708 def betaConv nil 12652 remove 60 ref 12708 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 12644 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp 12709 def nil 59 ref 12645 remove cons 12710 def 60 ref 12706 ref cons nil cons 12711 def cons nil cons cons 132 ref subst proveHyp nil 243 ref 219 ref 64 ref 12635 ref 233 ref appTerm 12712 def appTerm 12713 def 12699 ref appTerm 12714 def absTerm 12715 def nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 12714 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12712 ref nil cons 12716 def cons 12717 def 12711 ref cons nil cons cons 12718 def 81 ref subst 12718 remove 152 ref subst 12712 ref betaConv 12712 remove assume eqMp 12719 def nil 59 ref 12634 remove nil cons 12720 def cons 12721 def 12711 remove cons nil cons cons 12722 def 132 ref subst proveHyp 12722 ref 81 ref subst 12722 remove 152 ref subst nil 107 ref 12324 remove nil cons 12723 def cons 12724 def 109 ref 12633 ref nil cons 12725 def cons nil cons cons nil cons cons 12726 def 123 ref subst 12727 def 12726 remove 687 ref subst 12728 def nil 7 ref 12698 ref nil cons 12729 def cons 23 ref 12693 ref nil cons cons nil cons 12730 def cons nil cons cons 12459 remove subst sym 307 ref 70 ref 6768 ref 4181 ref 12693 remove appTerm 12731 def appTerm 12732 def 320 ref appTerm appTerm 12733 def 7683 ref 4181 ref 12698 ref appTerm 12734 def appTerm 12735 def appTerm absTerm 12736 def 4444 ref 4181 ref 8938 ref appTerm 12737 def appTerm 12738 def 12385 ref appTerm 12739 def appTerm betaConv sym 307 ref 12733 remove 7683 ref 12739 ref appTerm appTerm absTerm 12740 def 12738 ref 12631 ref appTerm 12741 def appTerm betaConv sym nil 307 ref 12741 ref nil cons 12742 def cons 219 ref 12731 ref nil cons cons nil cons 12743 def cons nil cons cons 12744 def 806 ref subst sym nil 12676 remove 8982 remove cons nil cons cons 12615 ref subst eqMp nil 59 ref 232 ref 12731 remove appTerm 12741 ref appTerm nil cons cons 60 ref 12732 ref 12741 ref appTerm nil cons 12745 def cons nil cons cons nil cons cons 132 ref subst proveHyp 12744 remove 12605 ref subst eqMp nil 59 ref 12745 remove cons 60 ref 6768 ref 12741 remove appTerm 12739 ref appTerm nil cons cons nil cons 12746 def cons nil cons cons 152 ref subst proveHyp nil 59 ref 12725 ref cons 12746 remove cons nil cons cons 132 ref subst nil 756 ref 12385 ref nil cons 12747 def cons 307 ref 12631 ref nil cons 12748 def cons 219 ref 12737 ref nil cons 12749 def cons nil cons 12750 def cons cons nil cons cons 12607 ref subst eqMp eqMp eqMp 242 ref 243 ref 12740 ref nil cons cons 219 ref 12742 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12740 remove appTerm nil cons cons 60 ref 12732 ref 12739 ref appTerm nil cons 12751 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 12739 ref nil cons 12752 def cons 12743 ref cons nil cons cons 12565 ref subst eqMp nil 59 ref 12751 remove cons 60 ref 6768 ref 12739 ref appTerm 12753 def 12734 ref appTerm nil cons cons nil cons 12754 def cons nil cons cons 152 ref subst proveHyp 307 ref 70 ref 12753 ref 320 ref appTerm appTerm 12755 def 12735 remove appTerm absTerm 12756 def 12384 ref 4181 ref 4811 remove 12695 ref appTerm 12757 def appTerm 12758 def appTerm 12759 def appTerm betaConv sym 307 ref 12755 remove 7683 ref 12759 ref appTerm appTerm absTerm 12760 def 12384 ref 12738 ref 233 ref appTerm 12761 def appTerm 12762 def appTerm betaConv sym 307 ref 70 ref 232 ref 12739 remove appTerm 12763 def 320 ref appTerm appTerm 716 ref 12762 ref appTerm 12764 def appTerm absTerm 12765 def 4444 ref 12738 remove 11570 ref appTerm 12766 def appTerm 233 ref appTerm 12767 def appTerm betaConv sym 652 ref nil 756 ref 244 ref cons 12768 def 11572 remove 12750 remove cons 12769 def cons nil cons cons 6641 remove subst appThm 232 ref 12767 ref appTerm 12770 def 12762 ref appTerm 12771 def refl appThm nil 94 ref 12771 remove nil cons 12772 def cons nil cons nil cons cons 874 ref subst trans sym 307 ref 70 ref 12770 ref 320 ref appTerm appTerm 12764 remove appTerm absTerm 12773 def 4444 ref 12384 ref 12737 remove appTerm 12774 def appTerm 233 ref appTerm 12775 def appTerm betaConv sym 70 ref 12770 remove 12775 ref appTerm 12776 def appTerm refl nil 12768 remove 307 ref 12749 remove cons 11620 ref cons cons nil cons cons nil 94 ref 232 ref 6617 remove appTerm 6619 remove appTerm 12777 def nil cons cons nil cons nil cons cons 101 ref subst 756 ref 12777 remove absTerm 12778 def 758 ref appTerm 12779 def betaConv 307 ref 705 ref 12778 ref appTerm 12780 def absTerm 12781 def 320 ref appTerm 12782 def betaConv 219 ref 705 ref 12781 ref appTerm 12783 def absTerm 12784 def 233 ref appTerm 12785 def betaConv 706 ref 219 ref 706 ref 307 ref 706 ref 756 ref 6620 remove 806 remove subst absThm appThm absThm appThm absThm appThm 6642 remove eqMp nil 59 ref 705 ref 12784 ref appTerm nil cons cons 60 ref 12785 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12784 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12783 remove nil cons cons 60 ref 12782 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12781 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12780 remove nil cons cons 60 ref 12779 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12778 remove nil cons cons 6307 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp subst appThm nil 94 ref 12776 remove nil cons 12786 def cons nil cons nil cons cons 1385 ref subst trans sym 652 ref nil 12769 remove nil cons cons 6223 remove subst appThm 745 ref appThm 875 ref trans sym 100 ref eqMp nil 59 ref 70 ref 232 ref 12766 ref appTerm 12774 ref appTerm appTerm 723 ref appTerm nil cons cons 60 ref 12786 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 3000 ref 244 ref cons 236 ref 12774 remove nil cons cons 728 ref 219 ref 12766 remove nil cons cons nil cons cons cons cons nil cons cons 6317 remove subst eqMp eqMp eqMp 242 ref 243 ref 12773 ref nil cons cons 219 ref 12775 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12773 remove appTerm nil cons cons 60 ref 12772 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 12762 ref nil cons 12787 def cons 12788 def 219 ref 12767 remove nil cons cons nil cons 12789 def cons nil cons cons 6311 ref subst eqMp eqMp eqMp 242 ref 243 ref 12765 ref nil cons cons 12789 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12765 remove appTerm nil cons cons 60 ref 12763 remove 12762 ref appTerm nil cons 12790 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 12788 remove 219 ref 12752 remove cons nil cons 12791 def cons nil cons cons 6311 ref subst eqMp nil 59 ref 12790 remove cons 60 ref 12753 ref 12762 ref appTerm nil cons 12792 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 307 ref 12787 ref cons 12791 ref cons nil cons cons 12605 ref subst eqMp nil 59 ref 12792 remove cons 60 ref 6768 ref 12762 remove appTerm 12759 ref appTerm nil cons cons nil cons 12793 def cons nil cons cons 152 ref subst proveHyp nil 59 ref 12723 ref cons 12794 def 60 ref 6768 ref 12761 ref appTerm 12758 ref appTerm nil cons 12795 def cons nil cons cons nil cons cons 132 ref subst nil 8969 remove nil cons cons 307 ref 1337 ref 6768 ref 12385 ref appTerm 12796 def 320 ref appTerm 12797 def appTerm 7683 ref 12385 ref appTerm appTerm absTerm 12798 def 12663 ref appTerm 12799 def betaConv 7840 ref 12385 ref appTerm 12800 def betaConv 8131 remove nil 59 ref 705 ref 7840 remove appTerm nil cons cons 60 ref 12800 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 7841 remove 219 ref 12747 ref cons nil cons 12801 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 12798 ref appTerm nil cons cons 60 ref 12799 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12798 remove nil cons cons 219 ref 12663 ref nil cons cons nil cons 12802 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 1337 ref 12796 ref 12663 ref appTerm 12803 def appTerm 12665 ref appTerm 12804 def nil cons cons 60 ref 12686 ref nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 12687 ref 233 ref appTerm 12805 def betaConv 12689 ref 34 ref appTerm 12806 def betaConv nil 12691 remove 60 ref 12806 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 12689 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12688 remove nil cons cons 60 ref 12805 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12687 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp nil 59 ref 70 ref 12804 remove appTerm 12686 remove appTerm nil cons cons 60 ref 12352 ref 12803 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 2914 ref 12723 remove cons 1642 ref 12665 remove nil cons cons 1648 ref 12803 remove nil cons 12807 def cons nil cons cons cons nil cons cons nil 59 ref 70 ref 1658 ref appTerm 12808 def 1237 ref 2921 remove 1657 ref appTerm 12809 def appTerm 12810 def appTerm nil cons 12811 def cons 60 ref 8545 ref 1651 ref appTerm nil cons 12812 def cons nil cons cons nil cons cons 12813 def 81 ref subst 12813 remove 152 ref subst nil 59 ref 2968 remove cons 12814 def 60 ref 1701 ref cons nil cons 12815 def cons nil cons cons 12816 def 81 ref subst 12816 remove 152 ref subst nil 8029 remove 12815 ref cons nil cons cons 12817 def 81 ref subst 12817 remove 152 ref subst nil 12814 remove 60 ref 1673 ref cons nil cons cons nil cons cons 152 ref subst 1657 ref assume eqMp nil 59 ref 12809 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst 63 ref 12810 ref appTerm refl 1846 remove 12809 ref appTerm betaConv appThm 1847 remove 12809 remove refl appThm eqMp nil 107 ref 1658 remove nil cons cons 109 ref 12810 remove nil cons cons nil cons cons nil cons cons 12818 def 687 ref subst eqMp eqMp nil 8039 ref nil cons nil cons cons 1854 remove subst proveHyp proveHyp eqMp nil 107 ref 1673 remove cons 109 ref 1701 ref cons nil cons 12819 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 1701 ref cons 12815 remove cons nil cons cons 12820 def 81 ref subst 12820 remove 152 ref subst 1651 ref assume eqMp nil 8039 ref 12819 ref cons nil cons cons 123 ref subst deductAntisym eqMp 12818 remove 123 ref subst nil 8039 remove 8027 remove 1422 ref 1701 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp nil 8033 remove 12819 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 12811 remove cons 109 ref 12812 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp 12821 def subst eqMp nil 59 ref 12795 remove cons 12793 remove cons nil cons cons 132 ref subst proveHyp nil 756 ref 12758 remove nil cons cons 307 ref 12761 remove nil cons cons 11620 ref cons cons nil cons cons 12607 ref subst eqMp eqMp eqMp 242 ref 243 ref 12760 ref nil cons cons 219 ref 12787 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12760 remove appTerm nil cons cons 60 ref 12753 remove 12759 ref appTerm nil cons 12822 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 12759 ref nil cons 12823 def cons 12791 ref cons nil cons cons 12565 ref subst eqMp nil 59 ref 12822 remove cons 60 ref 6768 ref 12759 ref appTerm 12824 def 12734 ref appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 12824 ref refl 12825 def 4181 ref refl 12826 def nil 23 ref 12696 remove nil cons cons nil cons 12827 def nil cons cons 3410 ref subst appThm appThm sym 12825 remove 12826 ref nil 7 ref 12695 remove nil cons cons 167 ref cons nil cons cons 7 ref 55 ref 10108 remove appTerm 10107 remove appTerm 12828 def absTerm 12829 def 34 ref appTerm 12830 def betaConv 23 ref 22 ref 12829 ref appTerm 12831 def absTerm 12832 def 31 ref appTerm 12833 def betaConv 49 ref 23 ref 49 ref 7 ref 12828 remove assume sym 10109 remove assume sym deductAntisym absThm appThm absThm appThm 10116 remove eqMp nil 59 ref 22 ref 12832 ref appTerm nil cons cons 60 ref 12833 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12832 remove nil cons cons 138 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12831 remove nil cons cons 60 ref 12830 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12829 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst appThm appThm sym nil 7 ref 12757 ref nil cons cons 167 remove cons nil cons cons nil 94 ref 12609 remove nil cons cons nil cons nil cons cons 101 ref subst 12615 remove eqMp subst sym 100 ref eqMp nil 59 ref 232 ref 12759 remove appTerm 4181 ref 35 ref 12757 remove appTerm appTerm 12834 def appTerm nil cons cons 60 ref 12824 remove 12834 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 307 ref 12834 remove nil cons cons 219 ref 12823 remove cons nil cons 12835 def cons nil cons cons 12605 ref subst eqMp eqMp eqMp eqMp eqMp 242 ref 243 ref 12756 ref nil cons cons 12835 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12756 remove appTerm nil cons cons 12754 remove cons nil cons cons 132 ref subst proveHyp nil 756 ref 12734 ref nil cons cons 12836 def 12791 ref cons nil cons cons 12565 ref subst eqMp eqMp eqMp 242 ref 243 ref 12736 ref nil cons cons 12791 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12736 remove appTerm nil cons cons 60 ref 12732 remove 12734 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 12836 remove 12743 remove cons nil cons cons 12565 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 12720 remove cons 12837 def 109 ref 12706 remove cons nil cons 12838 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12716 remove cons 12839 def 12838 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 12715 remove appTerm nil cons cons 60 ref 64 ref 12636 remove appTerm 12840 def 12699 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12635 remove nil cons cons 12841 def 12838 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 12358 ref 3077 ref appTerm betaConv sym 3111 remove nil 6 ref 3076 ref nil cons cons nil cons nil cons cons 47 remove subst 48 ref 21 ref 49 ref 23 ref 49 ref 7 ref nil 8978 remove 7 ref 35 ref 3076 ref 31 ref appTerm appTerm 12842 def nil cons cons 23 ref 32 remove 12630 ref appTerm 12843 def nil cons cons nil cons cons cons nil cons cons 5992 remove subst absThm appThm absThm appThm absThm appThm trans sym 21 ref 22 ref 23 ref 22 ref 7 ref 70 ref 26 ref 12843 ref appTerm 12844 def 38 ref 12842 ref appTerm 12845 def 41 ref appTerm appTerm appTerm 26 ref 12842 remove appTerm 12846 def 38 ref 12843 remove appTerm 12847 def 41 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12848 def 4704 ref appTerm betaConv sym 49 ref 23 ref 49 ref 7 ref 652 ref 12844 ref refl 12849 def 12845 ref refl 12850 def 4923 remove 5244 ref subst 12851 def appThm appThm appThm 12846 ref refl 12847 ref refl 12851 remove appThm appThm appThm absThm appThm absThm appThm sym 49 ref 23 ref 111 ref 49 ref 7 ref 652 ref 7 ref 12844 ref 12845 ref 40 ref appTerm appTerm absTerm 12852 def 34 ref appTerm betaConv 12853 def appThm 7 ref 12846 remove 12847 remove 40 remove appTerm appTerm 12854 def absTerm 12855 def 34 ref appTerm betaConv 12856 def appThm absThm appThm appThm 652 ref 49 ref 7 ref 12853 remove absThm appThm appThm 49 ref 7 ref 12856 ref absThm appThm appThm appThm nil 4875 ref 12852 ref nil cons cons 4966 ref 12855 ref nil cons cons nil cons cons nil cons cons 4967 ref subst eqMp absThm appThm 111 ref 49 ref 23 ref 652 ref 23 ref 22 ref 12852 remove appTerm absTerm 12857 def 31 ref appTerm betaConv 12858 def appThm 23 ref 22 ref 12855 ref appTerm absTerm 12859 def 31 ref appTerm betaConv 12860 def appThm absThm appThm appThm 652 ref 49 ref 23 ref 12858 remove absThm appThm appThm 49 ref 23 ref 12860 remove absThm appThm appThm appThm nil 4875 ref 12857 ref nil cons cons 4966 remove 12859 remove nil cons cons nil cons cons nil cons cons 4967 remove subst eqMp trans sym 70 ref 22 ref 12857 remove appTerm appTerm refl 111 ref 49 ref 23 ref 49 ref 7 ref 23 ref 12855 remove absTerm 12861 def 31 remove appTerm betaConv 3282 remove appThm 12856 remove trans 12862 def absThm appThm absThm appThm appThm 49 ref 7 ref 49 ref 23 ref 12862 remove absThm appThm absThm appThm appThm nil "p" 25 remove var 12861 remove nil cons cons nil cons nil cons cons 7278 remove "p" 1542 remove var 12863 def 63 ref 142 ref 147 ref 442 ref 1544 ref 12863 remove varTerm 12864 def 148 ref appTerm 1547 remove appTerm 12865 def absTerm appTerm absTerm appTerm appTerm 442 remove 1544 remove 142 ref 147 ref 12865 remove absTerm appTerm absTerm appTerm appTerm absTerm 12866 def 12864 ref appTerm 12867 def betaConv nil 1554 remove 12866 ref appTerm 12868 def axiom nil 59 ref 12868 remove nil cons cons 60 ref 12867 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1556 remove 1557 remove 12866 remove nil cons cons 1558 remove 12864 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst subst eqMp appThm sym 652 ref 49 ref 23 ref 49 ref 7 ref 12849 remove 12850 remove 3410 ref appThm appThm absThm appThm absThm appThm appThm 22 ref 7 ref 22 ref 23 ref 12854 remove absTerm appTerm absTerm appTerm refl appThm sym nil 94 ref 22 ref 23 ref 22 ref 7 ref 12844 remove 12845 remove 3393 remove appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 5185 remove subst sym nil 135 ref 8937 ref 22 ref 7 ref 12694 ref 12697 ref 3181 remove 8938 ref appTerm appTerm 12869 def appTerm 12870 def absTerm 12871 def appTerm 12872 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8937 ref nil 94 ref 12872 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 12871 remove nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 12870 remove nil cons 12873 def cons nil cons nil cons cons 101 ref subst 864 ref 70 ref 12694 ref 865 ref appTerm appTerm 12874 def 4717 ref 12869 ref appTerm appTerm absTerm 12875 def 12698 ref appTerm betaConv sym 652 ref 12707 remove 12700 remove 8938 ref appTerm 12876 def betaConv 12702 ref 34 ref appTerm 12877 def betaConv nil 59 ref 22 ref 12702 remove appTerm nil cons cons 60 ref 12877 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 12703 remove 176 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12704 remove cons 60 ref 12876 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 12705 remove 136 ref 8958 remove cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp 12878 def appThm 12879 def 26 ref 12698 ref appTerm refl 12880 def nil 8959 remove 12827 remove cons nil cons cons 12881 def 3486 ref subst appThm nil 8968 ref 23 ref 12729 ref cons nil cons cons nil cons cons 4732 remove subst trans appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 12875 ref nil cons cons 136 ref 12729 remove cons nil cons 12882 def cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 12875 remove appTerm nil cons cons 60 ref 12873 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 12869 remove nil cons cons 12730 ref cons nil cons cons 5363 ref subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp eqMp eqMp eqMp 134 ref 135 ref 12848 remove nil cons cons 5976 remove cons nil cons cons 279 ref subst proveHyp eqMp eqMp nil 243 ref 219 ref 12352 ref 6769 ref 3077 ref appTerm 12883 def appTerm 12884 def absTerm 12885 def nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 12884 remove nil cons cons nil cons nil cons cons 101 ref subst nil 12794 ref 60 ref 12883 remove nil cons 12886 def cons nil cons 12887 def cons nil cons cons 12888 def 81 ref subst 12888 remove 152 ref subst 756 ref 22 ref 7 ref 12796 ref 318 ref 12384 ref 3077 ref appTerm 12889 def appTerm 12890 def 758 ref appTerm appTerm absTerm appTerm absTerm 12891 def 4181 ref 4810 remove 4704 remove appTerm 12892 def appTerm 12893 def appTerm betaConv sym nil 135 ref 7 ref 12796 ref 12890 remove 12893 ref appTerm 12894 def appTerm 12895 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 12895 remove nil cons 12896 def cons nil cons nil cons cons 101 ref subst 307 ref 70 ref 12797 remove appTerm 7683 ref 12894 ref appTerm appTerm absTerm 12897 def 12663 remove appTerm betaConv sym nil 12794 ref 60 ref 12807 ref cons nil cons cons nil cons cons 132 ref subst 12821 remove eqMp nil 59 ref 12807 remove cons 60 ref 12664 remove 12894 ref appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 307 ref 12894 remove nil cons 12898 def cons 12802 ref cons nil cons cons 6983 ref subst 48 ref 21 ref 49 ref 864 ref 50 ref nil 4256 ref 12674 remove cons nil cons nil cons cons 4296 ref subst 10312 ref appThm 864 ref 30 ref 12662 remove appTerm 865 ref appTerm 12899 def absTerm 865 ref appTerm betaConv trans appThm 3487 ref nil 307 ref 12893 remove nil cons 12900 def cons 219 ref 12889 ref nil cons cons nil cons 12901 def cons nil cons cons 3281 ref subst 864 ref 3487 ref nil 307 ref 3077 ref nil cons 12902 def cons 12903 def 11620 ref cons nil cons cons 5931 remove subst 864 ref 11584 remove 3078 remove assume 10312 ref appThm appThm 11586 remove 3076 ref 865 ref appTerm 12904 def appTerm betaConv trans absThm trans 10312 ref appThm 864 ref 35 ref 12904 remove appTerm 12905 def absTerm 865 ref appTerm betaConv trans 12906 def appThm nil 4256 ref 12892 ref nil cons cons nil cons nil cons cons 4296 ref subst 10312 ref appThm 7 ref 30 ref 12892 remove appTerm 12907 def 34 ref appTerm 12908 def absTerm 865 ref appTerm betaConv trans appThm absThm trans 10312 ref appThm 864 ref 38 ref 12905 ref appTerm 12909 def 12907 remove 865 ref appTerm 12910 def appTerm 12911 def absTerm 865 ref appTerm betaConv trans appThm 739 ref appThm appThm absThm appThm absThm appThm trans sym 48 ref 21 ref 49 ref 864 ref 26 ref 12899 remove appTerm refl nil 741 ref 23 ref 12911 ref nil cons cons nil cons cons nil cons cons 3410 ref subst appThm absThm appThm absThm appThm sym 48 ref 21 ref 49 ref 864 ref 50 ref 4803 remove nil 12677 ref nil cons cons 5438 remove subst appThm 10312 ref appThm nil 10300 ref 5231 remove 12677 ref cons cons nil cons cons 3225 remove subst trans appThm 5248 ref 12911 remove appTerm refl appThm absThm appThm absThm appThm sym 48 ref 21 ref 49 ref 864 ref 50 ref 38 ref 30 remove 12630 remove appTerm 12912 def 865 ref appTerm 12913 def appTerm 12914 def refl 9462 ref 5244 remove subst appThm 12915 def appThm nil 879 ref 12910 remove nil cons cons 7 ref 12905 ref nil cons cons 5254 ref cons 12916 def cons nil cons cons 3486 ref subst 38 ref 5248 ref 12905 ref appTerm 12917 def appTerm 12918 def refl 9462 remove 7 ref 55 remove 12908 remove appTerm 4825 remove appTerm absTerm 12919 def 34 ref appTerm 12920 def betaConv nil 22 ref 12919 ref appTerm 12921 def axiom nil 59 ref 12921 remove nil cons cons 60 ref 12920 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 12919 remove nil cons cons 176 ref cons nil cons cons 163 ref subst eqMp eqMp subst appThm nil 10300 ref 9461 ref 23 ref 12917 remove nil cons cons nil cons cons cons nil cons cons 3486 ref subst trans trans appThm nil 879 ref 12918 remove 865 ref appTerm nil cons cons 23 ref 9460 remove cons 7 ref 12913 ref nil cons cons nil cons cons cons nil cons cons 7077 ref subst trans absThm appThm absThm appThm sym 48 ref 21 ref 49 ref 864 ref 26 ref 12913 ref appTerm refl 12922 def nil 10300 remove 12916 remove cons nil cons cons 5177 remove subst appThm absThm appThm absThm appThm sym 48 ref 21 ref 49 ref 864 ref 12922 remove nil 7 ref 12909 remove 865 ref appTerm 12923 def nil cons cons 5254 remove cons nil cons cons 3410 ref subst appThm absThm appThm absThm appThm sym 111 ref 48 ref 21 ref 49 ref 864 ref 50 ref 864 ref 12913 remove absTerm 12924 def 865 ref appTerm betaConv 12925 def appThm 3487 ref 864 ref 12923 remove absTerm 12926 def 865 ref appTerm betaConv appThm 739 ref appThm appThm absThm appThm absThm appThm appThm 48 ref 21 ref 48 ref 864 ref 49 ref 10288 ref 64 ref 4717 ref 10289 ref appTerm appTerm 12927 def refl 50 ref 12924 ref 10289 ref appTerm betaConv appThm 3487 ref 12926 ref 10289 ref appTerm betaConv appThm 739 ref appThm appThm appThm absThm appThm absThm appThm absThm appThm appThm nil 6171 remove 12924 remove nil cons cons 9428 remove 12926 remove nil cons cons nil cons cons nil cons cons 9439 remove subst eqMp sym 21 ref 20 ref 864 ref 22 ref 10288 ref 12927 ref 26 ref 12912 ref 10289 ref appTerm appTerm 12928 def 38 ref 38 ref 35 remove 3076 remove 10289 ref appTerm appTerm appTerm 10289 remove appTerm appTerm 12929 def 36 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12930 def 8 ref appTerm betaConv sym 864 ref 22 ref 10288 remove 12927 remove 12928 remove 12929 remove 8 ref appTerm appTerm appTerm absTerm appTerm absTerm 12931 def 34 ref appTerm betaConv sym nil 135 ref 8937 ref 9432 remove 26 ref 12912 remove 8938 ref appTerm appTerm 38 ref 12697 remove 8938 remove appTerm 12932 def appTerm 8 ref appTerm 12933 def appTerm 12934 def appTerm 12935 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8937 ref nil 94 ref 12935 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 9431 ref nil cons 12936 def cons 60 ref 12934 remove nil cons 12937 def cons nil cons cons nil cons cons 12938 def 81 ref subst 12938 remove 152 ref subst 50 ref nil 8968 remove 12677 ref cons nil cons cons 4293 ref subst appThm 12933 ref refl appThm sym 864 ref 12874 remove 4717 remove 12933 ref appTerm appTerm absTerm 12939 def 12698 remove appTerm betaConv sym 12879 remove 12880 remove nil 23 ref 12932 remove nil cons cons nil cons nil cons cons 4915 ref subst appThm 12881 remove 6065 remove subst nil 94 ref 12936 ref cons nil cons nil cons cons 101 ref subst 9431 remove assume eqMp trans trans appThm 875 ref trans sym 100 ref eqMp eqMp 134 ref 135 ref 12939 ref nil cons cons 12882 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 20 ref 12939 remove appTerm nil cons cons 60 ref 12694 remove 12933 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 879 ref 12933 remove nil cons cons 12730 remove cons nil cons cons 5363 remove subst eqMp eqMp eqMp nil 107 ref 12936 remove cons 109 ref 12937 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 134 ref 135 ref 12931 remove nil cons cons 176 remove cons nil cons cons 279 ref subst proveHyp eqMp 134 ref 135 ref 12930 remove nil cons cons 4832 ref cons nil cons cons 279 ref subst proveHyp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp 242 ref 243 ref 12897 ref nil cons cons 12802 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12897 remove appTerm nil cons cons 60 ref 12896 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 12898 remove cons 12801 ref cons nil cons cons 12565 ref subst eqMp eqMp absThm eqMp eqMp 242 ref 243 ref 12891 ref nil cons cons 219 ref 12900 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12891 remove appTerm nil cons cons 12887 remove cons nil cons cons 132 ref subst proveHyp nil 12903 remove nil cons nil cons cons 307 ref 64 ref 218 ref 756 ref 22 ref 7 ref 12796 ref 318 ref 12384 ref 320 ref appTerm 12940 def appTerm 12941 def 758 ref appTerm 12942 def appTerm 12943 def absTerm 12944 def appTerm 12945 def absTerm 12946 def appTerm 12947 def appTerm 12948 def 6770 ref appTerm 12949 def absTerm 12950 def 320 ref appTerm 12951 def betaConv 219 ref 705 ref 12950 ref appTerm 12952 def absTerm 12953 def 233 ref appTerm 12954 def betaConv nil 243 ref 219 ref 705 ref 307 ref 705 ref 756 ref 64 ref 12945 ref appTerm 12955 def 6770 ref appTerm 12956 def absTerm 12957 def appTerm 12958 def absTerm 12959 def appTerm 12960 def absTerm 12961 def nil cons cons 12962 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 12960 remove nil cons 12963 def cons nil cons nil cons cons 101 ref subst nil 243 ref 12959 ref nil cons cons 12964 def nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 12958 remove nil cons 12965 def cons nil cons nil cons cons 101 ref subst nil 243 ref 12957 ref nil cons cons 12966 def nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 12956 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12945 remove nil cons 12967 def cons 12968 def 7141 ref cons nil cons cons 12969 def 81 ref subst 12969 ref 152 ref subst nil 59 ref 7852 ref cons 12970 def 7141 ref cons nil cons cons 12971 def 81 ref subst 12971 remove 152 ref subst nil 12970 ref 60 ref 218 ref 7240 ref 234 ref 12574 ref appTerm 12972 def absTerm 12973 def appTerm 12974 def nil cons 12975 def cons nil cons cons nil cons cons 132 ref subst 785 remove 7463 remove subst eqMp nil 59 ref 12975 remove cons 7141 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 7240 ref 64 ref 12973 ref 7241 ref appTerm 12976 def appTerm 6770 ref appTerm 12977 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 7240 ref nil 94 ref 12977 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12976 ref nil cons 12978 def cons 7141 ref cons nil cons cons 12979 def 81 ref subst 12979 remove 152 ref subst 12976 ref betaConv 12976 remove assume eqMp nil 59 ref 12972 ref nil cons 12980 def cons 12981 def 7141 ref cons nil cons cons 12982 def 132 ref subst proveHyp 12982 ref 81 ref subst 12982 remove 152 ref subst 3000 ref 70 ref 234 remove 3001 ref appTerm appTerm 7143 ref appTerm absTerm 12983 def 12574 ref appTerm betaConv sym 652 ref nil 94 ref 12980 ref cons nil cons nil cons cons 101 ref subst 12972 ref assume 12984 def eqMp appThm 232 ref 12574 ref appTerm 12985 def 320 ref appTerm 12986 def refl appThm nil 94 ref 12986 remove nil cons 12987 def cons nil cons nil cons cons 874 ref subst trans sym 3000 ref 70 ref 12985 ref 3001 ref appTerm appTerm 7143 remove appTerm absTerm 12988 def 707 ref 4236 ref appTerm 12989 def appTerm betaConv sym 652 ref 3026 remove 745 remove subst appThm 7247 remove 4236 ref appTerm 12990 def refl appThm nil 94 ref 12990 ref nil cons 12991 def cons nil cons nil cons cons 874 ref subst trans sym "k" 214 ref var 12992 def 22 ref 7 ref 6768 ref 12384 ref 7241 ref appTerm 12993 def appTerm 12994 def 12992 ref varTerm 12995 def appTerm absTerm appTerm absTerm 12996 def 758 ref appTerm betaConv sym nil 59 ref 22 ref 7 ref 12994 remove 758 ref appTerm 12997 def absTerm 12998 def appTerm 12999 def nil cons cons nil cons nil cons cons 1252 ref subst sym nil 59 ref 1237 ref 12999 remove appTerm 13000 def nil cons 13001 def cons 13002 def 1330 ref cons nil cons cons 13003 def 81 ref subst 13003 remove 152 ref subst 11044 remove nil 243 ref 219 ref 705 ref 236 ref 705 ref 307 ref 705 ref 3000 ref 10639 ref 6937 remove appTerm 13004 def absTerm 13005 def appTerm 13006 def absTerm 13007 def appTerm 13008 def absTerm 13009 def appTerm 13010 def absTerm 13011 def nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 13010 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13009 remove nil cons cons nil cons nil cons cons 727 ref subst 236 ref nil 94 ref 13008 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13007 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 13006 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13005 remove nil cons cons nil cons nil cons cons 727 ref subst 3000 ref nil 94 ref 13004 remove nil cons cons nil cons nil cons cons 101 ref subst 7147 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 13012 def nil 59 ref 705 ref 13011 remove appTerm 13013 def nil cons 13014 def cons 13015 def 11046 remove cons nil cons cons 132 ref subst proveHyp 6499 ref nil 59 ref 705 ref 6485 ref appTerm 13016 def nil cons 13017 def cons 13018 def 60 ref 64 ref 13013 ref appTerm 13019 def 11045 remove appTerm 13020 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 59 ref 705 ref 219 ref 705 ref 307 ref 705 ref 756 ref 63 ref 6768 ref 321 ref appTerm 3538 ref appTerm 13021 def appTerm 12477 ref appTerm absTerm 13022 def appTerm absTerm 13023 def appTerm absTerm 13024 def appTerm 13025 def nil cons 13026 def cons 13027 def nil cons nil cons cons 1252 ref subst sym nil 59 ref 1237 ref 13025 ref appTerm 13028 def nil cons 13029 def cons 13030 def 1330 ref cons nil cons cons 13031 def 81 ref subst 13031 remove 152 ref subst nil 243 ref 219 ref 705 ref 307 ref 705 ref 756 ref 63 ref 6768 ref 3538 ref appTerm 13032 def 3439 ref appTerm 13033 def appTerm 6770 ref appTerm 13034 def absTerm 13035 def appTerm 13036 def absTerm 13037 def appTerm 13038 def absTerm 13039 def nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 13038 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13037 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 13036 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13035 remove nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 13034 remove nil cons 13040 def cons nil cons nil cons cons 101 ref subst 111 ref nil 3441 remove 219 ref 3539 ref cons nil cons cons nil cons cons 6983 ref subst 48 ref 21 ref 49 ref 7 ref 50 ref 3556 remove appThm 3487 ref 3466 remove appThm 739 ref appThm appThm absThm appThm absThm appThm trans appThm 6983 ref appThm sym 111 ref 48 ref 21 ref 49 ref 7 ref 26 ref 3555 remove appTerm refl 13041 def nil 741 remove 23 ref 3465 remove nil cons cons nil cons cons nil cons cons 3410 ref subst appThm absThm appThm absThm appThm appThm 7003 ref appThm sym 111 ref 48 ref 21 ref 49 ref 7 ref 13041 remove nil 910 remove 6096 ref cons nil cons cons 3486 remove subst appThm nil 879 ref 5248 remove 788 remove appTerm nil cons cons 12529 remove 736 remove cons cons nil cons cons 7077 remove subst trans absThm appThm absThm appThm appThm 7003 remove appThm sym 48 ref 21 ref 49 ref 7 ref 6002 remove nil 6096 remove nil cons cons 3410 ref subst appThm absThm appThm absThm appThm eqMp eqMp eqMp 13042 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 59 ref 705 ref 13039 remove appTerm 13043 def nil cons 13044 def cons 1330 ref cons nil cons cons 13045 def 132 ref subst proveHyp 3411 ref nil 59 ref 705 ref 3387 ref appTerm 13046 def nil cons 13047 def cons 13048 def 60 ref 64 ref 13043 ref appTerm 1241 ref appTerm 13049 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 13012 ref nil 13015 ref 60 ref 64 ref 13046 remove appTerm 13050 def 13049 remove appTerm 13051 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 13030 ref 60 ref 13019 ref 13051 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst 64 ref 13028 ref appTerm refl 13019 ref refl 13052 def 13050 ref refl 13053 def nil 94 ref 13044 ref cons nil cons nil cons cons 1246 ref subst 13054 def appThm appThm appThm sym nil 13030 remove 60 ref 13019 ref 13050 ref 1237 ref 13043 ref appTerm 13055 def appTerm 13056 def appTerm nil cons 13057 def cons nil cons cons nil cons cons 13058 def 81 ref subst 13058 remove 152 ref subst nil 13015 ref 60 ref 13056 remove nil cons 13059 def cons nil cons cons nil cons cons 13060 def 81 ref subst 13060 remove 152 ref subst nil 13048 ref 60 ref 13055 remove nil cons 13061 def cons nil cons cons nil cons cons 13062 def 81 ref subst 13062 remove 152 ref subst 13054 remove 13045 ref 81 ref subst 13045 remove 152 ref subst nil 243 ref 13024 ref nil cons cons nil cons nil cons cons 726 ref 2040 remove subst 13063 def subst 7239 ref 219 ref 1443 ref 13024 remove 233 ref appTerm betaConv appThm nil 243 ref 13023 ref nil cons cons nil cons nil cons cons 13063 ref subst 7239 ref 307 ref 1443 ref 13023 remove 320 ref appTerm betaConv appThm nil 243 ref 13022 ref nil cons cons nil cons nil cons cons 13063 ref subst 7239 ref 756 ref 1443 ref 13022 remove 758 ref appTerm betaConv appThm nil 59 ref 13021 ref nil cons 13064 def cons 13065 def 60 ref 12567 ref cons nil cons 13066 def cons nil cons cons 13067 def 1928 remove subst trans absThm appThm trans trans absThm appThm trans trans absThm appThm trans 13028 remove assume eqMp nil 59 ref 218 ref 219 ref 218 ref 307 ref 218 ref 756 ref 1337 ref 70 ref 13021 ref appTerm 1237 ref 12477 ref appTerm 13068 def appTerm 13069 def appTerm 70 ref 1237 ref 13021 ref appTerm 13070 def appTerm 12477 ref appTerm 13071 def appTerm 13072 def absTerm 13073 def appTerm 13074 def absTerm 13075 def appTerm 13076 def absTerm 13077 def appTerm 13078 def nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 219 ref 64 ref 13077 ref 233 ref appTerm 13079 def appTerm 1241 ref appTerm 13080 def absTerm 13081 def nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 13080 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13079 ref nil cons 13082 def cons 1330 ref cons nil cons cons 13083 def 81 ref subst 13083 remove 152 ref subst 13079 ref betaConv 13079 remove assume eqMp nil 59 ref 13076 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 307 ref 64 ref 13075 ref 320 ref appTerm 13084 def appTerm 1241 ref appTerm 13085 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 13085 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13084 ref nil cons 13086 def cons 1330 ref cons nil cons cons 13087 def 81 ref subst 13087 remove 152 ref subst 13084 ref betaConv 13084 remove assume eqMp nil 59 ref 13074 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 756 ref 64 ref 13073 ref 758 ref appTerm 13088 def appTerm 1241 ref appTerm 13089 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 13089 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13088 ref nil cons 13090 def cons 1330 ref cons nil cons cons 13091 def 81 ref subst 13091 remove 152 ref subst 13088 ref betaConv 13088 remove assume eqMp nil 59 ref 13072 remove nil cons 13092 def cons 1330 ref cons nil cons cons 13093 def 132 ref subst proveHyp 13093 ref 81 ref subst 13093 remove 152 ref subst nil 59 ref 13071 remove nil cons 13094 def cons 1330 ref cons nil cons cons 13095 def 81 ref subst 13095 remove 152 ref subst nil "_16502" 214 ref var 13096 def 244 ref cons 13097 def "_16501" 214 ref var 13098 def 730 ref cons nil cons cons nil cons cons 307 ref 232 ref 318 ref 13098 ref varTerm 13099 def appTerm 320 ref appTerm appTerm 707 ref 13099 ref appTerm appTerm absTerm 13100 def 13096 remove varTerm 13101 def appTerm 13102 def betaConv 3387 ref 13099 ref appTerm 13103 def betaConv nil 13048 ref 60 ref 13103 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 3388 ref 219 ref 13099 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13100 ref appTerm nil cons cons 60 ref 13102 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13100 remove nil cons cons 219 ref 13101 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 13104 def subst nil 59 ref 232 ref 708 ref appTerm 321 ref appTerm 13105 def nil cons cons 60 ref 70 ref 232 ref 318 ref 758 ref appTerm 13106 def 233 ref appTerm 13107 def appTerm 3538 ref appTerm 13108 def appTerm 6768 ref 708 remove appTerm 13107 ref appTerm 13109 def appTerm 13110 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 13097 remove 13098 remove 815 ref cons nil cons cons nil cons cons 13104 remove subst nil 59 ref 13108 remove nil cons cons 60 ref 13109 remove nil cons 13111 def cons nil cons 13112 def cons nil cons cons 152 ref subst proveHyp nil "_16505" 214 ref var 13113 def 244 ref cons nil cons nil cons cons nil 107 ref 13070 ref nil cons cons 109 ref 12567 remove cons nil cons cons nil cons cons 13114 def 687 ref subst nil 12568 ref 60 ref 6768 ref 707 ref 13113 remove varTerm 13115 def appTerm appTerm 13106 remove 13115 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_16504" 214 ref var 13116 def 815 ref cons "_16503" 214 ref var 13117 def 730 ref cons nil cons cons nil cons cons nil 1642 ref 1237 ref 6768 ref 13117 remove varTerm 13118 def appTerm 13119 def 13116 remove varTerm 13120 def appTerm 13121 def appTerm 13122 def nil cons cons 1648 ref 6768 ref 318 ref 13118 ref appTerm 13123 def 13115 ref appTerm appTerm 318 ref 13120 ref appTerm 13124 def 13115 ref appTerm appTerm 13125 def nil cons cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 13121 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 13125 remove refl appThm trans 756 ref 1337 ref 6768 ref 13123 remove 758 ref appTerm appTerm 13126 def 13124 remove 758 ref appTerm appTerm appTerm 13122 remove appTerm absTerm 13127 def 13115 ref appTerm 13128 def betaConv 307 ref 705 ref 756 ref 1337 ref 13126 remove 3439 ref appTerm appTerm 1237 ref 13119 remove 320 ref appTerm appTerm appTerm absTerm appTerm absTerm 13129 def 13120 ref appTerm 13130 def betaConv 219 ref 705 ref 307 ref 705 ref 756 ref 1337 ref 13033 ref appTerm 7859 ref appTerm absTerm 13131 def appTerm absTerm appTerm absTerm 13132 def 13118 ref appTerm 13133 def betaConv 706 ref 219 ref 706 ref 307 ref 111 ref 1371 ref 706 ref 756 ref 756 ref 13033 ref absTerm 13134 def 758 ref appTerm 13135 def betaConv 13136 def absThm appThm appThm 7859 ref refl 13137 def appThm 13138 def appThm 706 ref 756 ref 1371 ref 13136 ref appThm 13137 remove appThm absThm appThm 13139 def appThm nil 10848 ref 13134 ref nil cons 13140 def cons 60 ref 7865 remove cons nil cons cons nil cons cons 13141 def 726 ref 1738 remove subst 13142 def subst eqMp absThm appThm absThm appThm 706 ref 219 ref 706 ref 307 ref 706 ref 756 ref nil 59 ref 13033 ref nil cons 13143 def cons 13144 def 7141 ref cons nil cons cons 13145 def 1438 ref subst absThm appThm absThm appThm absThm appThm 706 ref 219 ref 706 ref 307 ref 111 ref 706 ref 756 ref 652 ref 13131 ref 758 ref appTerm betaConv 13146 def appThm 756 ref 1337 ref 1237 ref 13033 ref appTerm 13147 def appTerm 6770 ref appTerm absTerm 13148 def 758 ref appTerm betaConv 13149 def appThm absThm appThm appThm 652 ref 706 ref 756 ref 13146 remove absThm appThm appThm 706 ref 756 ref 13149 remove absThm appThm appThm appThm nil 10848 ref 13131 remove nil cons cons 10849 ref 13148 ref nil cons cons nil cons cons nil cons cons 10850 ref subst eqMp 652 ref 111 ref 13139 remove appThm 13138 remove appThm 13141 remove 726 remove 60 ref 63 ref 1731 remove appTerm 1730 remove appTerm absTerm 13150 def 67 ref appTerm 13151 def betaConv 154 remove 194 ref 13150 ref appTerm 13152 def absTerm 13153 def 155 remove appTerm 13154 def betaConv nil 1480 ref 13153 ref appTerm 13155 def axiom nil 59 ref 13155 remove nil cons cons 60 ref 13154 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 ref 1483 ref 13153 remove nil cons cons 1486 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 13152 remove nil cons cons 60 ref 13151 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 13150 remove nil cons cons 999 ref cons nil cons cons 163 ref subst eqMp eqMp subst 13156 def subst eqMp appThm 111 ref 706 ref 756 ref 1371 ref 756 ref 13147 remove absTerm 13157 def 758 ref appTerm betaConv 13158 def appThm 6770 ref refl 13159 def appThm absThm appThm 13160 def appThm 1371 ref 706 ref 756 ref 13158 remove absThm appThm appThm 13159 remove appThm 13161 def appThm nil 10848 ref 13157 ref nil cons cons 7141 ref cons nil cons cons 13162 def 13156 remove subst eqMp appThm trans absThm appThm 111 ref 706 ref 307 ref 652 ref 307 ref 1337 ref 705 ref 13134 ref appTerm appTerm 7859 ref appTerm absTerm 13163 def 320 ref appTerm betaConv 13164 def appThm 307 ref 1337 ref 705 ref 13157 remove appTerm appTerm 6770 ref appTerm absTerm 13165 def 320 ref appTerm betaConv 13166 def appThm absThm appThm appThm 652 ref 706 ref 307 ref 13164 remove absThm appThm appThm 706 ref 307 ref 13166 remove absThm appThm appThm appThm nil 10848 ref 13163 ref nil cons cons 10849 ref 13165 ref nil cons cons nil cons cons nil cons cons 10850 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref 652 ref 219 ref 705 ref 13163 remove appTerm absTerm 13167 def 233 ref appTerm betaConv 13168 def appThm 219 ref 705 ref 13165 remove appTerm absTerm 13169 def 233 ref appTerm betaConv 13170 def appThm absThm appThm appThm 652 ref 706 ref 219 ref 13168 remove absThm appThm appThm 706 ref 219 ref 13170 remove absThm appThm appThm appThm nil 10848 ref 13167 ref nil cons cons 10849 ref 13169 ref nil cons cons nil cons cons nil cons cons 10850 ref subst eqMp trans trans 13043 remove assume eqMp 13171 def nil 107 ref 705 ref 13167 remove appTerm nil cons cons 109 ref 705 ref 13169 remove appTerm nil cons cons nil cons cons nil cons cons 13172 def 123 ref subst proveHyp eqMp nil 59 ref 705 ref 13132 ref appTerm nil cons cons 60 ref 13133 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13132 remove nil cons cons 219 ref 13118 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13129 ref appTerm nil cons cons 60 ref 13130 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13129 remove nil cons cons 219 ref 13120 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13127 ref appTerm nil cons cons 60 ref 13128 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13127 remove nil cons cons 219 ref 13115 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp subst eqMp subst eqMp eqMp nil 59 ref 70 ref 13105 remove appTerm 13110 remove appTerm nil cons cons 60 ref 13064 ref cons nil cons 13173 def cons nil cons cons 132 ref subst proveHyp nil "_16500" 214 ref var 13174 def 3539 ref cons "_16499" 214 ref var 13175 def 13107 ref nil cons 13176 def cons "_16498" 214 ref var 13177 def 710 ref cons "_16497" 214 ref var 13178 def 709 ref cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 13178 remove varTerm 13179 def appTerm 13180 def 13177 remove varTerm 13181 def appTerm 13182 def appTerm 13183 def appTerm 13184 def 1337 ref 1237 ref 232 ref 13175 remove varTerm 13185 def appTerm 13186 def 13174 remove varTerm 13187 def appTerm 13188 def appTerm 13189 def appTerm 13190 def 1237 ref 6768 ref 13179 ref appTerm 13191 def 13185 ref appTerm 13192 def appTerm 13193 def appTerm 13194 def appTerm nil cons cons 1648 ref 6768 ref 13181 ref appTerm 13195 def 13187 ref appTerm 13196 def nil cons 13197 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 13194 remove nil cons 13198 def cons 1648 ref 13183 remove nil cons 13199 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13182 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1642 ref 13193 ref nil cons 13200 def cons 1648 ref 13189 ref nil cons 13201 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13188 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 13192 ref nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm trans appThm 13196 ref refl appThm trans 13184 ref refl 13190 remove refl nil 60 ref 13197 remove cons 13202 def 59 ref 13200 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 13200 remove cons 13202 ref 59 ref 13201 ref cons nil cons cons cons nil cons cons 1816 ref subst trans appThm nil 969 ref 13198 remove cons 13202 remove 59 ref 13199 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 13199 remove cons 1708 ref 13201 remove cons 1792 ref 1337 ref 13193 remove appTerm 13203 def 13196 ref appTerm 13204 def nil cons cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 70 ref 1337 ref 13184 ref 1237 ref 13186 remove 3001 ref appTerm appTerm appTerm appTerm 13205 def 1337 ref 13192 remove appTerm 13206 def 1237 ref 13195 remove 3001 ref appTerm 13207 def appTerm 13208 def appTerm appTerm appTerm 13205 remove 13203 remove 13207 ref appTerm appTerm appTerm absTerm 13209 def 13187 ref appTerm 13210 def betaConv 307 ref 705 ref 3000 ref 70 ref 1337 ref 13184 ref 10784 ref appTerm appTerm 13211 def 1337 ref 13191 remove 320 ref appTerm 13212 def appTerm 13213 def 13208 remove appTerm appTerm appTerm 13211 remove 1337 ref 1237 ref 13212 remove appTerm appTerm 13214 def 13207 remove appTerm appTerm appTerm absTerm appTerm absTerm 13215 def 13185 ref appTerm 13216 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 70 ref 1337 ref 1337 ref 1237 ref 13180 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 13217 def 13213 remove 1237 ref 6903 ref appTerm 13218 def appTerm appTerm appTerm 13217 remove 13214 remove 6903 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13219 def 13181 ref appTerm 13220 def betaConv 219 ref 705 ref 236 ref 705 ref 307 ref 705 ref 3000 ref 70 ref 10791 ref 7836 remove 13218 ref appTerm 13221 def appTerm appTerm 10791 ref 1337 ref 7859 remove appTerm 13222 def 6903 ref appTerm 13223 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13224 def 13179 ref appTerm 13225 def betaConv 706 ref 219 ref 706 ref 236 ref 706 ref 307 ref 706 ref 3000 ref nil 1648 ref 10790 remove nil cons cons 1642 ref 13221 remove nil cons cons 2914 ref 13223 remove nil cons cons nil cons cons cons nil cons cons nil 1655 ref 60 ref 63 ref 1656 ref 2918 ref appTerm appTerm 12808 remove 1656 remove 2917 ref appTerm appTerm appTerm nil cons 13226 def cons nil cons 13227 def cons nil cons cons 13228 def 81 ref subst 13228 remove 152 ref subst 63 ref "_582" 16 ref var 13229 def 63 ref 1337 ref 13229 remove varTerm appTerm 13230 def 2918 ref appTerm appTerm 70 ref 13230 ref 1657 ref appTerm appTerm 13230 remove 2917 ref appTerm appTerm appTerm absTerm 13231 def 1651 ref appTerm 13232 def appTerm refl 13233 def 13231 ref 1241 ref appTerm betaConv appThm 111 ref 13232 remove betaConv appThm 13234 def 63 ref 1353 ref 2918 ref appTerm appTerm 70 ref 1670 remove appTerm 1353 remove 2917 ref appTerm appTerm appTerm refl appThm trans 13231 remove refl 13235 def 1672 ref appThm eqMp sym 111 ref 2937 ref 1369 ref subst appThm 652 ref 1675 remove appThm 2969 ref 1369 remove subst appThm appThm nil 198 remove 2936 remove cons nil cons nil cons cons 635 remove subst trans sym 100 ref eqMp eqMp eqMp nil 1682 ref 109 ref 13226 ref cons nil cons 13236 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1686 ref 13227 remove cons nil cons cons 13237 def 81 ref subst 13237 remove 152 ref subst 13233 remove "_580" 16 ref var 13238 def 63 ref 1337 ref 13238 remove varTerm appTerm 13239 def 2918 ref appTerm appTerm 70 ref 13239 ref 1657 ref appTerm appTerm 13239 remove 2917 ref appTerm appTerm appTerm absTerm 86 ref appTerm betaConv appThm 13234 remove 63 ref 1374 ref 2918 remove appTerm appTerm 70 ref 1690 remove appTerm 1374 remove 2917 ref appTerm appTerm appTerm refl appThm trans 13235 remove 1691 ref appThm eqMp sym 111 ref 2937 remove 1378 ref subst appThm 652 ref 1692 remove appThm 2969 ref 1378 remove subst appThm 875 ref trans appThm 1698 remove trans sym 100 ref eqMp eqMp eqMp nil 1699 ref 13236 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1703 ref nil 1699 ref 1704 ref 1422 ref 13226 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp subst absThm appThm absThm appThm absThm appThm absThm appThm 706 ref 219 ref 706 ref 236 ref 706 ref 307 ref 706 ref 3000 ref 6939 remove 2729 ref subst 10794 ref 6943 remove 1438 ref subst appThm trans absThm appThm absThm appThm absThm appThm absThm appThm 13013 ref assume eqMp eqMp 13240 def nil 59 ref 705 ref 13224 ref appTerm nil cons cons 13241 def 60 ref 13225 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13224 ref nil cons cons 13242 def 219 ref 13179 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13219 ref appTerm nil cons cons 60 ref 13220 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13219 remove nil cons cons 219 ref 13181 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13215 ref appTerm nil cons cons 60 ref 13216 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13215 remove nil cons cons 219 ref 13185 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13209 ref appTerm nil cons cons 60 ref 13210 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13209 remove nil cons cons 219 ref 13187 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 107 ref 1337 ref 13184 remove 13189 remove appTerm appTerm 13243 def 13206 remove 1237 ref 13196 remove appTerm appTerm appTerm nil cons cons 109 ref 13243 remove 13204 remove appTerm nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp eqMp eqMp eqMp subst eqMp nil 13065 ref 1330 ref cons nil cons cons 132 ref subst proveHyp nil 13065 remove nil cons nil cons cons 1613 ref subst 13114 remove 123 ref subst eqMp eqMp eqMp nil 107 ref 13094 ref cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 13069 remove nil cons 13244 def cons 1330 ref cons nil cons cons 13245 def 81 ref subst 13245 remove 152 ref subst nil "_16490" 214 ref var 13246 def 730 ref cons "_16489" 214 ref var 13247 def 244 ref cons nil cons 13248 def cons nil cons cons 307 ref 232 ref 318 ref 13247 remove varTerm 13249 def appTerm 320 ref appTerm appTerm 707 ref 13249 ref appTerm appTerm absTerm 13250 def 13246 ref varTerm 13251 def appTerm 13252 def betaConv 3387 ref 13249 ref appTerm 13253 def betaConv nil 13048 ref 60 ref 13253 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 3388 ref 219 ref 13249 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13250 ref appTerm nil cons cons 60 ref 13252 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13250 remove nil cons cons 219 ref 13251 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 13254 def subst nil 59 ref 3389 remove cons 60 ref 70 ref 232 ref 3538 remove appTerm 13107 remove appTerm 13255 def appTerm 13021 ref appTerm 13256 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 13246 remove 815 ref cons 13248 remove cons nil cons cons 13254 remove subst nil 59 ref 13255 remove nil cons cons 13173 remove cons nil cons cons 152 ref subst proveHyp nil 107 ref 13064 remove cons 109 ref 13068 ref nil cons cons nil cons cons nil cons cons 13257 def 123 ref subst eqMp eqMp nil 59 ref 70 ref 3384 remove appTerm 13256 remove appTerm nil cons cons 13112 remove cons nil cons cons 132 ref subst proveHyp nil "_16488" 214 ref var 13258 def 13176 remove cons "_16487" 214 ref var 13259 def 3539 remove cons "_16486" 214 ref var 13260 def 709 remove cons "_16485" 214 ref var 13261 def 710 ref cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 13261 remove varTerm 13262 def appTerm 13263 def 13260 remove varTerm 13264 def appTerm 13265 def appTerm 13266 def appTerm 13267 def 1337 ref 1237 ref 232 ref 13259 remove varTerm 13268 def appTerm 13269 def 13258 remove varTerm 13270 def appTerm 13271 def appTerm 13272 def appTerm 13273 def 1237 ref 6768 ref 13262 ref appTerm 13274 def 13268 ref appTerm 13275 def appTerm 13276 def appTerm 13277 def appTerm nil cons cons 1648 ref 6768 ref 13264 ref appTerm 13278 def 13270 ref appTerm 13279 def nil cons 13280 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 13277 remove nil cons 13281 def cons 1648 ref 13266 remove nil cons 13282 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13265 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1642 ref 13276 ref nil cons 13283 def cons 1648 ref 13272 ref nil cons 13284 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13271 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 13275 ref nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm trans appThm 13279 ref refl appThm trans 13267 ref refl 13273 remove refl nil 60 ref 13280 remove cons 13285 def 59 ref 13283 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 13283 remove cons 13285 ref 59 ref 13284 ref cons nil cons cons cons nil cons cons 1816 ref subst trans appThm nil 969 ref 13281 remove cons 13285 remove 59 ref 13282 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 13282 remove cons 1708 ref 13284 remove cons 1792 ref 1337 ref 13276 remove appTerm 13286 def 13279 ref appTerm 13287 def nil cons cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 70 ref 1337 ref 13267 ref 1237 ref 13269 remove 3001 ref appTerm appTerm appTerm appTerm 13288 def 1337 ref 13275 remove appTerm 13289 def 1237 ref 13278 remove 3001 ref appTerm 13290 def appTerm 13291 def appTerm appTerm appTerm 13288 remove 13286 remove 13290 ref appTerm appTerm appTerm absTerm 13292 def 13270 ref appTerm 13293 def betaConv 307 ref 705 ref 3000 ref 70 ref 1337 ref 13267 ref 10784 ref appTerm appTerm 13294 def 1337 ref 13274 remove 320 ref appTerm 13295 def appTerm 13296 def 13291 remove appTerm appTerm appTerm 13294 remove 1337 ref 1237 ref 13295 remove appTerm appTerm 13297 def 13290 remove appTerm appTerm appTerm absTerm appTerm absTerm 13298 def 13268 ref appTerm 13299 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 70 ref 1337 ref 1337 ref 1237 ref 13263 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 13300 def 13296 remove 13218 ref appTerm appTerm appTerm 13300 remove 13297 remove 6903 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13301 def 13264 ref appTerm 13302 def betaConv 13224 ref 13262 ref appTerm 13303 def betaConv 13240 ref nil 13241 ref 60 ref 13303 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 13242 ref 219 ref 13262 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13301 ref appTerm nil cons cons 60 ref 13302 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13301 remove nil cons cons 219 ref 13264 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13298 ref appTerm nil cons cons 60 ref 13299 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13298 remove nil cons cons 219 ref 13268 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13292 ref appTerm nil cons cons 60 ref 13293 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13292 remove nil cons cons 219 ref 13270 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 107 ref 1337 ref 13267 remove 13272 remove appTerm appTerm 13304 def 13289 remove 1237 ref 13279 remove appTerm appTerm appTerm nil cons cons 109 ref 13304 remove 13287 remove appTerm nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp eqMp eqMp eqMp subst eqMp nil 59 ref 13111 remove cons 13066 ref cons nil cons cons 132 ref subst proveHyp nil "_16495" 214 ref var 13305 def 815 ref cons "_16496" 214 ref var 13306 def 244 ref cons "_16494" 214 ref var 13307 def 730 ref cons nil cons cons cons nil cons cons nil 1642 ref 1237 ref 6768 ref 318 ref 13307 remove varTerm 13308 def appTerm 13309 def 13306 remove varTerm 13310 def appTerm appTerm 318 ref 13305 remove varTerm 13311 def appTerm 13312 def 13310 ref appTerm appTerm 13313 def appTerm nil cons 13314 def cons 1648 ref 6768 ref 13308 ref appTerm 13315 def 13311 ref appTerm 13316 def nil cons 13317 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 13313 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 13316 ref refl appThm trans nil 60 ref 13317 remove cons 59 ref 13314 remove cons nil cons cons nil cons cons 1724 ref subst 756 ref 1337 ref 1237 ref 6768 ref 13309 remove 758 ref appTerm appTerm 13318 def 13312 remove 758 ref appTerm appTerm appTerm appTerm 13316 remove appTerm absTerm 13319 def 13310 ref appTerm 13320 def betaConv 307 ref 705 ref 756 ref 1337 ref 1237 ref 13318 remove 3439 ref appTerm appTerm appTerm 13315 remove 320 ref appTerm appTerm absTerm appTerm absTerm 13321 def 13311 ref appTerm 13322 def betaConv 219 ref 705 ref 307 ref 705 ref 13148 remove appTerm absTerm appTerm absTerm 13323 def 13308 ref appTerm 13324 def betaConv 706 ref 219 ref 706 ref 307 ref 111 ref 13161 remove appThm 13160 remove appThm 13162 remove 13142 remove subst eqMp absThm appThm absThm appThm 13171 remove 13172 remove 687 ref subst proveHyp eqMp nil 59 ref 705 ref 13323 ref appTerm nil cons cons 60 ref 13324 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13323 remove nil cons cons 219 ref 13308 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13321 ref appTerm nil cons cons 60 ref 13322 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13321 remove nil cons cons 219 ref 13311 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13319 ref appTerm nil cons cons 60 ref 13320 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13319 remove nil cons cons 219 ref 13310 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 12568 ref 1330 ref cons nil cons cons 132 ref subst proveHyp nil 12568 remove nil cons nil cons cons 1613 ref subst 13257 remove 687 ref subst eqMp eqMp eqMp nil 107 ref 13244 remove cons 13325 def 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 13325 remove 109 ref 13094 remove cons 1929 remove cons cons nil cons cons 1437 ref subst proveHyp proveHyp eqMp nil 107 ref 13092 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 13090 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 ref 64 ref 13073 ref 237 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 13074 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13073 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 13086 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 ref 64 ref 13075 ref 237 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 13076 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13075 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 13082 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 13081 remove appTerm nil cons cons 60 ref 64 ref 13078 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13077 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 13044 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 13047 remove cons 13326 def 109 ref 13061 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13014 ref cons 13327 def 109 ref 13059 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13029 remove cons 13328 def 109 ref 13057 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 13328 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 13027 ref 60 ref 64 ref 13016 ref appTerm 13329 def 13020 remove appTerm 13330 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 746 ref nil 749 ref 60 ref 64 ref 13025 ref appTerm 13331 def 13330 remove appTerm 13332 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 13002 ref 60 ref 10662 ref 13332 remove appTerm 13333 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 12981 ref 60 ref 64 ref 13000 ref appTerm 13334 def 13333 remove appTerm 13335 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 12970 ref 60 ref 64 ref 12972 ref appTerm 13336 def 13335 remove appTerm 13337 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 12968 ref 60 ref 64 ref 7684 remove appTerm 13338 def 13337 remove appTerm 13339 def nil cons cons nil cons cons nil cons cons 132 ref subst 219 ref 12955 ref 13339 remove appTerm absTerm 13340 def 233 ref appTerm 13341 def betaConv 307 ref 705 ref 13340 ref appTerm 13342 def absTerm 13343 def 320 ref appTerm 13344 def betaConv 7240 ref 705 ref 13343 ref appTerm 13345 def absTerm 13346 def 7241 ref appTerm 13347 def betaConv 756 ref 705 ref 13346 ref appTerm 13348 def absTerm 13349 def 758 ref appTerm 13350 def betaConv 706 ref 756 ref 706 ref 7240 ref 706 ref 307 ref 706 ref 219 ref 12955 ref refl 13351 def 13338 ref refl 13352 def 13336 ref refl 13353 def 13334 ref refl 10690 ref 13331 ref refl 13329 ref refl 13052 ref 11058 ref appThm appThm appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 243 ref 756 ref 705 ref 7240 ref 705 ref 307 ref 705 ref 219 ref 12955 ref 13338 ref 13336 ref 13334 remove 10662 ref 13331 remove 13329 ref 13019 ref 11059 remove appTerm 13354 def appTerm 13355 def appTerm 13356 def appTerm 13357 def appTerm 13358 def appTerm 13359 def appTerm 13360 def appTerm 13361 def absTerm 13362 def appTerm 13363 def absTerm 13364 def appTerm 13365 def absTerm 13366 def appTerm 13367 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 13367 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13366 remove nil cons cons nil cons nil cons cons 727 ref subst 7240 ref nil 94 ref 13365 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13364 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 13363 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13362 remove nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 13361 remove nil cons cons nil cons nil cons cons 101 ref subst nil 12968 ref 60 ref 13360 remove nil cons 13368 def cons nil cons cons nil cons cons 13369 def 81 ref subst 13369 remove 152 ref subst nil 12970 ref 60 ref 13359 remove nil cons 13370 def cons nil cons cons nil cons cons 13371 def 81 ref subst 13371 remove 152 ref subst nil 12981 ref 60 ref 13358 remove nil cons 13372 def cons nil cons cons nil cons cons 13373 def 81 ref subst 13373 remove 152 ref subst nil 13002 remove 60 ref 13357 remove nil cons 13374 def cons nil cons cons nil cons cons 13375 def 81 ref subst 13375 remove 152 ref subst nil 749 ref 60 ref 13356 remove nil cons 13376 def cons nil cons cons nil cons cons 13377 def 81 ref subst 13377 remove 152 ref subst nil 13027 remove 60 ref 13355 remove nil cons 13378 def cons nil cons cons nil cons cons 13379 def 81 ref subst 13379 remove 152 ref subst nil 13018 ref 60 ref 13354 remove nil cons 13380 def cons nil cons cons nil cons cons 13381 def 81 ref subst 13381 remove 152 ref subst nil 13015 ref 11079 remove cons nil cons cons 13382 def 81 ref subst 13382 remove 152 ref subst 11058 remove 11081 remove 11082 remove nil 135 ref 12998 ref nil cons cons nil cons nil cons cons 5007 remove subst 48 ref 7 ref 1443 ref 12998 remove 34 ref appTerm betaConv appThm absThm appThm trans 13000 remove assume eqMp nil 59 ref 20 ref 7 ref 1237 ref 12997 ref appTerm 13383 def absTerm 13384 def appTerm 13385 def nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 7 ref 64 ref 13384 ref 34 ref appTerm 13386 def appTerm 1241 ref appTerm 13387 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 13387 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13386 ref nil cons 13388 def cons 1330 ref cons nil cons cons 13389 def 81 ref subst 13389 remove 152 ref subst 13386 ref betaConv 13386 remove assume eqMp nil 59 ref 13383 ref nil cons 13390 def cons 1330 ref cons nil cons cons 13391 def 132 ref subst proveHyp 13391 ref 81 ref subst 13391 remove 152 ref subst nil "_16573" 214 ref var 13392 def 7243 ref cons "_16572" 214 ref var 13393 def 730 ref cons "_16571" 214 ref var 13394 def 11571 ref cons nil cons cons cons nil cons cons 756 ref 232 ref 4444 ref 13394 remove varTerm 13395 def appTerm 13396 def 318 ref 13393 remove varTerm 13397 def appTerm 758 ref appTerm appTerm appTerm 318 ref 13396 ref 13397 ref appTerm appTerm 13396 ref 758 ref appTerm 13398 def appTerm appTerm absTerm 13399 def 13392 remove varTerm 13400 def appTerm 13401 def betaConv 307 ref 705 ref 756 ref 232 ref 13396 ref 3439 ref appTerm appTerm 318 ref 13396 remove 320 ref appTerm appTerm 13398 remove appTerm appTerm absTerm appTerm absTerm 13402 def 13397 ref appTerm 13403 def betaConv 6485 ref 13395 ref appTerm 13404 def betaConv nil 13018 ref 60 ref 13404 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 6486 ref 219 ref 13395 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13402 ref appTerm nil cons cons 60 ref 13403 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13402 remove nil cons cons 219 ref 13397 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13399 ref appTerm nil cons cons 60 ref 13401 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13399 remove nil cons cons 219 ref 13400 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 232 ref 12384 ref 12574 remove appTerm 13405 def appTerm 12941 remove 12993 ref appTerm 13406 def appTerm 13407 def nil cons cons 60 ref 70 ref 232 ref 12942 ref appTerm 12942 ref appTerm 13408 def appTerm 13409 def 6768 ref 13405 ref appTerm 12942 ref appTerm 13410 def appTerm 13411 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_16570" 214 ref var 13412 def 12942 ref nil cons 13413 def cons nil cons nil cons cons 724 ref 13412 ref varTerm 13414 def appTerm 13415 def betaConv nil 749 ref 60 ref 13415 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 725 ref 219 ref 13414 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 13416 def subst 13417 def nil 59 ref 13408 remove nil cons cons 13418 def 60 ref 13410 remove nil cons cons nil cons 13419 def cons nil cons cons 152 ref subst proveHyp nil 13412 remove 11571 ref cons nil cons nil cons cons 13416 remove subst nil 59 ref 11619 ref nil cons cons 60 ref 12980 ref cons nil cons cons nil cons cons 152 ref subst proveHyp 12984 remove eqMp nil 59 ref 70 ref 11619 remove appTerm 12972 remove appTerm nil cons cons 60 ref 232 ref 12385 ref appTerm 13405 ref appTerm 13420 def nil cons 13421 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_16581" 214 ref var 13422 def 12598 ref cons "_16580" 214 ref var 13423 def 244 ref cons "_16579" 214 ref var 13424 def 11571 ref cons "_16578" 214 ref var 13425 def 11571 remove cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 13425 remove varTerm 13426 def appTerm 13427 def 13424 remove varTerm 13428 def appTerm 13429 def appTerm 13430 def appTerm 13431 def 1237 ref 232 ref 13423 remove varTerm 13432 def appTerm 13433 def 13422 remove varTerm 13434 def appTerm 13435 def appTerm 13436 def appTerm nil cons cons 1648 ref 232 ref 4444 ref 13426 ref appTerm 13437 def 13432 ref appTerm appTerm 13438 def 4444 ref 13428 ref appTerm 13439 def 13434 ref appTerm appTerm 13440 def nil cons 13441 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 13436 remove nil cons 13442 def cons 1648 ref 13430 remove nil cons 13443 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13429 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 13435 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 13440 remove refl appThm trans 13431 ref refl nil 60 ref 13441 ref cons 13444 def 59 ref 13442 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 13442 ref cons 13444 remove 59 ref 13443 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 13443 remove cons 1708 ref 13442 remove cons 1792 ref 13441 remove cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 1337 ref 13431 ref 1237 ref 13433 remove 3001 ref appTerm appTerm appTerm appTerm 13438 remove 13439 remove 3001 ref appTerm 13445 def appTerm appTerm absTerm 13446 def 13434 ref appTerm 13447 def betaConv 307 ref 705 ref 3000 ref 1337 ref 13431 remove 10784 ref appTerm appTerm 232 ref 13437 remove 320 ref appTerm appTerm 13448 def 13445 remove appTerm appTerm absTerm appTerm absTerm 13449 def 13432 ref appTerm 13450 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 1337 ref 1337 ref 1237 ref 13427 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 13448 remove 4599 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13451 def 13428 ref appTerm 13452 def betaConv 10792 ref 13426 ref appTerm 13453 def betaConv 10795 ref nil 10796 ref 60 ref 13453 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 10797 ref 219 ref 13426 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13451 ref appTerm nil cons cons 60 ref 13452 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13451 remove nil cons cons 219 ref 13428 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13449 ref appTerm nil cons cons 60 ref 13450 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13449 remove nil cons cons 219 ref 13432 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13446 ref appTerm nil cons cons 60 ref 13447 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13446 remove nil cons cons 219 ref 13434 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 13421 remove cons 60 ref 13409 remove 12943 ref appTerm 13454 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 13417 remove nil 13418 remove 60 ref 12943 remove nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_16569" 3 ref var 13455 def 166 ref cons nil cons nil cons cons 12944 ref 13455 remove varTerm 13456 def appTerm 13457 def betaConv nil 12968 ref 60 ref 13457 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 12944 remove nil cons cons 136 ref 13456 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp nil 59 ref 70 ref 13420 remove appTerm 13454 remove appTerm nil cons cons 13419 remove cons nil cons cons 132 ref subst proveHyp nil "_16577" 214 ref var 13458 def 13413 ref cons 13459 def "_16576" 214 ref var 13460 def 13413 remove cons 13461 def "_16575" 214 ref var 13462 def 13405 remove nil cons 13463 def cons "_16574" 214 ref var 13464 def 12747 remove cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 13464 ref varTerm 13465 def appTerm 13466 def 13462 ref varTerm 13467 def appTerm 13468 def appTerm 13469 def appTerm 13470 def 1337 ref 1237 ref 232 ref 13460 remove varTerm 13471 def appTerm 13472 def 13458 remove varTerm 13473 def appTerm 13474 def appTerm 13475 def appTerm 13476 def 1237 ref 6768 ref 13465 ref appTerm 13477 def 13471 ref appTerm 13478 def appTerm 13479 def appTerm 13480 def appTerm nil cons cons 1648 ref 6768 ref 13467 ref appTerm 13481 def 13473 ref appTerm 13482 def nil cons 13483 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 13480 remove nil cons 13484 def cons 1648 ref 13469 remove nil cons 13485 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13468 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1642 ref 13479 ref nil cons 13486 def cons 1648 ref 13475 ref nil cons 13487 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13474 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 13478 ref nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm trans appThm 13482 ref refl appThm trans 13470 ref refl 13476 remove refl nil 60 ref 13483 remove cons 13488 def 59 ref 13486 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 13486 remove cons 13488 ref 59 ref 13487 ref cons nil cons cons cons nil cons cons 1816 ref subst trans appThm nil 969 ref 13484 remove cons 13488 remove 59 ref 13485 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 13485 remove cons 1708 ref 13487 remove cons 1792 ref 1337 ref 13479 remove appTerm 13489 def 13482 ref appTerm 13490 def nil cons cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 70 ref 1337 ref 13470 ref 1237 ref 13472 remove 3001 ref appTerm appTerm appTerm appTerm 13491 def 1337 ref 13478 remove appTerm 13492 def 1237 ref 13481 remove 3001 ref appTerm 13493 def appTerm 13494 def appTerm appTerm appTerm 13491 remove 13489 remove 13493 ref appTerm appTerm appTerm absTerm 13495 def 13473 ref appTerm 13496 def betaConv 307 ref 705 ref 3000 ref 70 ref 1337 ref 13470 ref 10784 ref appTerm appTerm 13497 def 1337 ref 13477 remove 320 ref appTerm 13498 def appTerm 13499 def 13494 remove appTerm appTerm appTerm 13497 remove 1337 ref 1237 ref 13498 remove appTerm appTerm 13500 def 13493 remove appTerm appTerm appTerm absTerm appTerm absTerm 13501 def 13471 ref appTerm 13502 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 70 ref 1337 ref 1337 ref 1237 ref 13466 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 13503 def 13499 remove 13218 ref appTerm appTerm appTerm 13503 remove 13500 remove 6903 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13504 def 13467 ref appTerm 13505 def betaConv 13224 ref 13465 ref appTerm 13506 def betaConv 13240 ref nil 13241 ref 60 ref 13506 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 13242 ref 219 ref 13465 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13504 ref appTerm nil cons cons 60 ref 13505 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13504 remove nil cons cons 219 ref 13467 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13501 ref appTerm nil cons cons 60 ref 13502 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13501 remove nil cons cons 219 ref 13471 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13495 ref appTerm nil cons cons 60 ref 13496 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13495 remove nil cons cons 219 ref 13473 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 107 ref 1337 ref 13470 remove 13475 remove appTerm appTerm 13507 def 13492 remove 1237 ref 13482 remove appTerm appTerm appTerm nil cons cons 109 ref 13507 remove 13490 remove appTerm nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp eqMp eqMp eqMp 13508 def subst eqMp eqMp eqMp nil 59 ref 70 ref 13407 remove appTerm 13411 remove appTerm nil cons cons 60 ref 6768 ref 13406 ref appTerm 12942 remove appTerm nil cons 13509 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 13459 remove 13461 remove 13462 remove 13406 remove nil cons cons 13464 remove 13463 remove cons nil cons cons cons cons nil cons cons 13508 remove subst eqMp nil 59 ref 13509 remove cons 60 ref 12997 remove nil cons 13510 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_16587" 214 ref var 13511 def 815 ref cons "_16586" 214 ref var 13512 def 12993 remove nil cons cons "_16585" 214 ref var 13513 def 12940 remove nil cons cons nil cons cons cons nil cons cons nil 1642 ref 1237 ref 6768 ref 318 ref 13513 remove varTerm 13514 def appTerm 13515 def 13512 remove varTerm 13516 def appTerm appTerm 13517 def 13515 ref 13511 remove varTerm 13518 def appTerm appTerm 13519 def appTerm nil cons 13520 def cons 1648 ref 6768 ref 13516 ref appTerm 13521 def 13518 ref appTerm 13522 def nil cons 13523 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 13519 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 13522 remove refl appThm trans nil 60 ref 13523 remove cons 59 ref 13520 remove cons nil cons cons nil cons cons 1724 ref subst 756 ref 1337 ref 1237 ref 13517 remove 13515 ref 758 ref appTerm 13524 def appTerm appTerm appTerm 13521 remove 758 ref appTerm appTerm absTerm 13525 def 13518 ref appTerm 13526 def betaConv 307 ref 705 ref 756 ref 1337 ref 1237 ref 6768 ref 13515 remove 320 ref appTerm appTerm 13524 remove appTerm appTerm appTerm 12477 ref appTerm absTerm appTerm absTerm 13527 def 13516 ref appTerm 13528 def betaConv 219 ref 705 ref 307 ref 705 ref 756 ref 1337 ref 13070 remove appTerm 12477 remove appTerm absTerm 13529 def appTerm absTerm 13530 def appTerm absTerm 13531 def 13514 ref appTerm 13532 def betaConv 706 ref 219 ref 706 ref 307 ref 706 ref 756 ref 13067 remove 1438 remove subst absThm appThm absThm appThm absThm appThm 706 ref 219 ref 706 ref 307 ref 111 ref 706 ref 756 ref 652 ref 756 ref 1337 ref 13021 remove appTerm 13068 ref appTerm absTerm 13533 def 758 ref appTerm betaConv 13534 def appThm 13529 ref 758 ref appTerm betaConv 13535 def appThm absThm appThm appThm 652 ref 706 ref 756 ref 13534 remove absThm appThm appThm 706 ref 756 ref 13535 remove absThm appThm appThm appThm nil 10848 ref 13533 ref nil cons cons 10849 ref 13529 remove nil cons cons nil cons cons nil cons cons 10850 ref subst eqMp absThm appThm 111 ref 706 ref 307 ref 652 ref 307 ref 705 ref 13533 remove appTerm absTerm 13536 def 320 ref appTerm betaConv 13537 def appThm 13530 ref 320 ref appTerm betaConv 13538 def appThm absThm appThm appThm 652 ref 706 ref 307 ref 13537 remove absThm appThm appThm 706 ref 307 ref 13538 remove absThm appThm appThm appThm nil 10848 ref 13536 ref nil cons cons 10849 ref 13530 remove nil cons cons nil cons cons nil cons cons 10850 ref subst eqMp trans absThm appThm 111 ref 706 ref 219 ref 652 ref 219 ref 705 ref 13536 remove appTerm absTerm 13539 def 233 ref appTerm betaConv 13540 def appThm 13531 ref 233 ref appTerm betaConv 13541 def appThm absThm appThm appThm 652 ref 706 ref 219 ref 13540 remove absThm appThm appThm 706 ref 219 ref 13541 remove absThm appThm appThm appThm nil 10848 remove 13539 ref nil cons cons 10849 remove 13531 ref nil cons 13542 def cons nil cons cons nil cons cons 10850 remove subst eqMp trans trans 13025 remove assume eqMp nil 107 ref 705 ref 13539 remove appTerm nil cons cons 109 ref 705 ref 13531 remove appTerm nil cons 13543 def cons nil cons cons nil cons cons 687 ref subst proveHyp nil 59 ref 13543 remove cons 60 ref 13532 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13542 remove cons 219 ref 13514 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13527 ref appTerm nil cons cons 60 ref 13528 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13527 remove nil cons cons 219 ref 13516 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13525 ref appTerm nil cons cons 60 ref 13526 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13525 remove nil cons cons 219 ref 13518 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 13510 remove cons 13544 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 13544 remove nil cons nil cons cons 1613 ref subst 13383 remove assume eqMp eqMp eqMp nil 107 ref 13390 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 13388 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 13384 ref 1065 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 13385 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 13384 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp 11141 remove deductAntisym eqMp eqMp eqMp nil 13327 ref 11142 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13017 ref cons 13545 def 109 ref 13380 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13026 remove cons 109 ref 13378 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10862 ref 109 ref 13376 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13001 remove cons 13546 def 109 ref 13374 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 12980 remove cons 13547 def 109 ref 13372 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 7852 ref cons 13548 def 109 ref 13370 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 12967 remove cons 13549 def 109 ref 13368 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 13349 ref appTerm nil cons cons 60 ref 13350 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13349 remove nil cons cons 6307 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 13348 remove nil cons cons 60 ref 13347 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13346 remove nil cons cons 219 ref 7243 remove cons nil cons 13550 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 13345 remove nil cons cons 60 ref 13344 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13343 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 13342 remove nil cons cons 60 ref 13341 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13340 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 13546 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp 242 ref 243 ref 12996 ref nil cons cons 6307 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12996 remove appTerm nil cons cons 60 ref 12991 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 13550 ref nil cons cons 219 ref 64 ref 218 ref 12992 ref 22 ref 7 ref 12796 ref 12995 ref appTerm 13551 def absTerm 13552 def appTerm 13553 def absTerm 13554 def appTerm 13555 def appTerm 13556 def 8746 ref appTerm 13557 def absTerm 13558 def 233 ref appTerm 13559 def betaConv nil 243 ref 219 ref 705 ref 12992 ref 64 ref 13553 ref appTerm 8746 ref appTerm 13560 def absTerm 13561 def appTerm 13562 def absTerm 13563 def nil cons cons 13564 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 13562 remove nil cons 13565 def cons nil cons nil cons cons 101 ref subst nil 243 ref 13561 ref nil cons cons 13566 def nil cons nil cons cons 727 ref subst 12992 ref nil 94 ref 13560 remove nil cons cons nil cons nil cons cons 101 ref subst nil 1648 ref 13553 ref nil cons 13567 def cons 1642 ref 8762 ref cons nil cons cons nil cons cons 7930 remove subst sym nil 8749 ref 60 ref 1237 ref 13553 remove appTerm nil cons 13568 def cons nil cons cons nil cons cons 13569 def 81 ref subst 13569 remove 152 ref subst 111 ref 1443 ref 49 ref 7 ref 13552 ref 34 ref appTerm betaConv 13570 def absThm appThm appThm appThm 48 ref 7 ref 1443 ref 13570 remove appThm absThm appThm appThm nil 4875 remove 13552 remove nil cons cons nil cons nil cons cons 7879 remove subst eqMp sym 12413 remove 12995 ref appTerm 13571 def betaConv 12415 remove nil 12416 remove 60 ref 13571 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 12417 remove 219 ref 12995 ref nil cons 13572 def cons nil cons 13573 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 20 ref 7 ref 6768 ref 12995 ref appTerm 13574 def 11570 ref appTerm absTerm 13575 def appTerm 13576 def nil cons cons 60 ref 20 ref 7 ref 1237 ref 13551 remove appTerm absTerm 13577 def appTerm 13578 def nil cons 13579 def cons nil cons 13580 def cons nil cons cons 132 ref subst proveHyp nil 135 ref 879 ref 64 ref 13575 ref 883 ref appTerm 13581 def appTerm 13578 ref appTerm 13582 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 13582 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13581 ref nil cons 13583 def cons 13580 ref cons nil cons cons 13584 def 81 ref subst 13584 remove 152 ref subst 13581 ref betaConv 13581 remove assume eqMp nil 59 ref 13574 ref 12430 ref appTerm 13585 def nil cons 13586 def cons 13587 def 13580 ref cons nil cons cons 13588 def 132 ref subst proveHyp 13588 ref 81 ref subst 13588 remove 152 ref subst 9091 remove nil 9092 ref 13580 ref cons nil cons cons 13589 def 132 ref subst proveHyp 13589 ref 81 ref subst 13589 remove 152 ref subst 8875 remove 883 ref appTerm 13590 def betaConv nil 9092 remove 60 ref 13590 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 9086 remove 903 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 20 remove 8870 ref 12431 ref 8873 ref appTerm 13591 def absTerm 13592 def appTerm 13593 def nil cons cons 13580 ref cons nil cons cons 132 ref subst proveHyp nil 135 ref 8870 ref 64 ref 13592 ref 8871 ref appTerm 13594 def appTerm 13578 ref appTerm 13595 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 13595 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13594 ref nil cons 13596 def cons 13580 ref cons nil cons cons 13597 def 81 ref subst 13597 remove 152 ref subst 13594 ref betaConv 13594 remove assume eqMp nil 59 ref 13591 ref nil cons 13598 def cons 13599 def 13580 remove cons nil cons cons 13600 def 132 ref subst proveHyp 13600 ref 81 ref subst 13600 remove 152 ref subst 13577 ref 10046 ref appTerm betaConv sym nil 107 ref 6768 ref 4444 ref 4181 ref 10046 remove appTerm appTerm 233 ref appTerm 13601 def appTerm 12995 ref appTerm 13602 def nil cons 13603 def cons 13604 def nil cons nil cons cons 7863 remove subst nil 59 ref 13603 ref cons 13605 def 1330 ref cons nil cons cons 13606 def 81 ref subst 13606 remove 152 ref subst nil 8749 remove 1330 ref cons nil cons cons 132 ref subst nil 94 ref 8748 remove cons nil cons nil cons cons 1246 ref subst 10743 remove 8889 ref 307 ref 713 remove 7685 remove appTerm 13607 def absTerm 13608 def 320 ref appTerm 13609 def betaConv 219 ref 705 ref 13608 ref appTerm 13610 def absTerm 13611 def 233 ref appTerm 13612 def betaConv 706 ref 219 ref 706 ref 307 ref 13607 remove assume sym 7686 remove assume sym deductAntisym absThm appThm absThm appThm 7783 remove eqMp nil 59 ref 705 ref 13611 ref appTerm nil cons cons 60 ref 13612 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13611 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 13610 remove nil cons cons 60 ref 13609 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13608 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp subst trans trans 70 ref 6769 remove 4236 remove appTerm 13613 def appTerm refl 12408 remove appThm nil 94 ref 13613 remove nil cons 13614 def cons nil cons nil cons cons 1385 remove subst trans trans sym 756 ref 13032 remove 4237 ref 758 ref appTerm appTerm absTerm 13615 def 8873 ref appTerm betaConv sym 307 ref 70 ref 6768 ref 319 remove 8873 ref appTerm 13616 def appTerm 13617 def 320 ref appTerm appTerm 7683 ref 4237 ref 8873 ref appTerm 13618 def appTerm appTerm absTerm 13619 def 12995 ref appTerm betaConv sym 3390 remove 4444 ref refl 12826 remove 10063 remove 3410 remove subst appThm appThm 6695 remove appThm appThm 13616 ref refl appThm sym 307 ref 70 ref 232 ref 4444 ref 4181 ref 4804 remove 8871 ref appTerm appTerm 13620 def appTerm 233 ref appTerm 13621 def appTerm 13622 def 320 ref appTerm appTerm 13623 def 716 ref 13616 ref appTerm appTerm absTerm 13624 def 318 ref 6683 remove appTerm 8873 ref appTerm 13625 def appTerm betaConv sym 307 ref 13623 remove 716 ref 13625 ref appTerm appTerm absTerm 13626 def 4444 ref 318 ref 6681 ref appTerm 8872 remove appTerm 13627 def appTerm 233 ref appTerm 13628 def appTerm betaConv sym nil 59 ref 13622 ref 13628 ref appTerm 13629 def nil cons 13630 def cons 13631 def nil cons nil cons cons 13632 def 1252 ref subst sym nil 59 ref 1237 ref 13629 remove appTerm 13633 def nil cons 13634 def cons 13635 def 1330 ref cons nil cons cons 13636 def 81 ref subst 13636 remove 152 ref subst 11654 remove nil 59 ref 22 ref 23 ref 22 ref 7 ref 232 ref 11651 remove appTerm 11650 remove appTerm absTerm appTerm absTerm 13637 def appTerm 13638 def nil cons 13639 def cons 13640 def 1330 ref cons nil cons cons 13641 def 132 ref subst proveHyp 10648 remove nil 10651 ref 60 ref 64 ref 13638 ref appTerm 1241 ref appTerm 13642 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 746 ref nil 749 ref 60 ref 10654 ref 13642 remove appTerm 13643 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 807 ref nil 809 ref 60 ref 10662 ref 13643 remove appTerm 13644 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 13635 ref 60 ref 10668 ref 13644 remove appTerm 13645 def nil cons cons nil cons cons nil cons cons 132 ref subst 8870 ref 64 ref 13633 ref appTerm 13646 def 13645 remove appTerm absTerm 13647 def 8871 ref appTerm 13648 def betaConv 219 ref 22 ref 13647 ref appTerm 13649 def absTerm 13650 def 233 ref appTerm 13651 def betaConv 706 ref 219 ref 49 ref 8870 ref 13646 ref refl 10687 ref 10690 ref 10691 remove nil 94 ref 13639 ref cons nil cons nil cons cons 1246 ref subst 13652 def appThm appThm appThm appThm absThm appThm absThm appThm sym nil 243 ref 219 ref 22 ref 8870 ref 13646 remove 10668 ref 10662 ref 10654 remove 1237 ref 13638 remove appTerm 13653 def appTerm 13654 def appTerm 13655 def appTerm 13656 def appTerm 13657 def absTerm 13658 def appTerm 13659 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 13659 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 13658 remove nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 13657 remove nil cons cons nil cons nil cons cons 101 ref subst nil 13635 remove 60 ref 13656 remove nil cons 13660 def cons nil cons cons nil cons cons 13661 def 81 ref subst 13661 remove 152 ref subst nil 809 ref 60 ref 13655 remove nil cons 13662 def cons nil cons cons nil cons cons 13663 def 81 ref subst 13663 remove 152 ref subst nil 749 ref 60 ref 13654 remove nil cons 13664 def cons nil cons cons nil cons cons 13665 def 81 ref subst 13665 remove 152 ref subst nil 10651 remove 60 ref 13653 remove nil cons 13666 def cons nil cons cons nil cons cons 13667 def 81 ref subst 13667 remove 152 ref subst 13652 remove 13641 ref 81 ref subst 13641 remove 152 ref subst nil "_16532" 3 ref var 13668 def 8943 remove cons "_16531" 3 remove var 13669 def 5230 remove cons nil cons cons nil cons cons 7 ref 232 ref 318 ref 4181 ref 13669 remove varTerm 13670 def appTerm appTerm 11570 remove appTerm appTerm 4181 remove 38 ref 13670 ref appTerm 34 ref appTerm appTerm appTerm absTerm 13671 def 13668 remove varTerm 13672 def appTerm 13673 def betaConv 13637 ref 13670 ref appTerm 13674 def betaConv nil 13640 remove 60 ref 13674 remove nil cons cons nil cons cons nil cons cons 132 ref subst 134 ref 135 ref 13637 remove nil cons cons 136 ref 13670 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 22 ref 13671 ref appTerm nil cons cons 60 ref 13673 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 13671 remove nil cons cons 136 ref 13672 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 232 ref 13627 ref appTerm 13620 ref appTerm 13675 def nil cons cons 11377 remove cons nil cons cons 152 ref subst proveHyp nil "_16526" 214 ref var 13676 def 244 ref cons nil cons nil cons cons 724 ref 13676 remove varTerm 13677 def appTerm 13678 def betaConv nil 749 ref 60 ref 13678 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 725 ref 219 ref 13677 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 70 ref 13675 remove appTerm 723 remove appTerm nil cons cons 60 ref 232 ref 13628 ref appTerm 13679 def 13621 ref appTerm nil cons 13680 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_16530" 214 ref var 13681 def 244 ref cons "_16529" 214 ref var 13682 def 244 ref cons "_16528" 214 ref var 13683 def 13620 remove nil cons cons "_16527" 214 ref var 13684 def 13627 remove nil cons cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 13684 remove varTerm 13685 def appTerm 13686 def 13683 remove varTerm 13687 def appTerm 13688 def appTerm 13689 def appTerm 13690 def 1237 ref 232 ref 13682 remove varTerm 13691 def appTerm 13692 def 13681 remove varTerm 13693 def appTerm 13694 def appTerm 13695 def appTerm nil cons cons 1648 ref 232 ref 4444 ref 13685 ref appTerm 13696 def 13691 ref appTerm appTerm 13697 def 4444 ref 13687 ref appTerm 13698 def 13693 ref appTerm appTerm 13699 def nil cons 13700 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 13695 remove nil cons 13701 def cons 1648 ref 13689 remove nil cons 13702 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13688 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 13694 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 13699 remove refl appThm trans 13690 ref refl nil 60 ref 13700 ref cons 13703 def 59 ref 13701 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 13701 ref cons 13703 remove 59 ref 13702 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 13702 remove cons 1708 ref 13701 remove cons 1792 ref 13700 remove cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 1337 ref 13690 ref 1237 ref 13692 remove 3001 ref appTerm appTerm appTerm appTerm 13697 remove 13698 remove 3001 ref appTerm 13704 def appTerm appTerm absTerm 13705 def 13693 ref appTerm 13706 def betaConv 307 ref 705 ref 3000 ref 1337 ref 13690 remove 10784 ref appTerm appTerm 232 ref 13696 remove 320 ref appTerm appTerm 13707 def 13704 remove appTerm appTerm absTerm appTerm absTerm 13708 def 13691 ref appTerm 13709 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 1337 ref 1337 ref 1237 ref 13686 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 13707 remove 4599 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13710 def 13687 ref appTerm 13711 def betaConv 10792 remove 13685 ref appTerm 13712 def betaConv 10795 remove nil 10796 remove 60 ref 13712 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 10797 remove 219 ref 13685 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13710 ref appTerm nil cons cons 60 ref 13711 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13710 remove nil cons cons 219 ref 13687 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13708 ref appTerm nil cons cons 60 ref 13709 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13708 remove nil cons cons 219 ref 13691 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13705 ref appTerm nil cons cons 60 ref 13706 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13705 remove nil cons cons 219 ref 13693 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 59 ref 13680 remove cons 60 ref 13630 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil "_16536" 214 ref var 13713 def 13621 remove nil cons 13714 def cons "_16535" 214 ref var 13715 def 13628 remove nil cons 13716 def cons nil cons cons nil cons cons nil 1642 ref 1237 ref 232 ref 13715 remove varTerm 13717 def appTerm 13718 def 13713 remove varTerm 13719 def appTerm 13720 def appTerm nil cons 13721 def cons 1648 ref 232 ref 13719 ref appTerm 13717 ref appTerm 13722 def nil cons 13723 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1648 ref 13720 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm 13722 remove refl appThm trans nil 60 ref 13723 remove cons 59 ref 13721 remove cons nil cons cons nil cons cons 1724 ref subst 307 ref 1337 ref 1237 ref 13718 remove 320 ref appTerm appTerm appTerm 716 remove 13717 ref appTerm appTerm absTerm 13724 def 13719 ref appTerm 13725 def betaConv 10841 remove 13717 ref appTerm 13726 def betaConv 10856 remove nil 10857 remove 60 ref 13726 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 10858 remove 219 ref 13717 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13724 ref appTerm nil cons cons 60 ref 13725 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13724 remove nil cons cons 219 ref 13719 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 13631 ref 1330 ref cons nil cons cons 132 ref subst proveHyp 13632 remove 1613 ref subst 13633 remove assume eqMp eqMp eqMp nil 107 ref 13639 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 10860 remove 109 ref 13666 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10862 ref 109 ref 13664 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10866 ref 109 ref 13662 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13634 remove cons 13727 def 109 ref 13660 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 13650 ref appTerm nil cons cons 60 ref 13651 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13650 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 13649 remove nil cons cons 60 ref 13648 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 13647 remove nil cons cons 9078 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 13727 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 13631 remove 60 ref 13679 remove 13625 ref appTerm 13728 def nil cons 13729 def cons nil cons cons nil cons cons 152 ref subst proveHyp nil 59 ref 13729 remove cons 13730 def nil cons nil cons cons 13731 def 1252 ref subst sym nil 59 ref 1237 ref 13728 remove appTerm 13732 def nil cons 13733 def cons 1330 ref cons nil cons cons 13734 def 81 ref subst 13734 remove 152 ref subst nil 59 ref 705 ref 219 ref 705 ref 307 ref 705 ref 756 ref 232 ref 4444 ref 321 ref appTerm 758 ref appTerm 13735 def appTerm 13736 def 318 ref 6463 ref appTerm 6618 ref appTerm 13737 def appTerm 13738 def absTerm 13739 def appTerm absTerm 13740 def appTerm absTerm 13741 def appTerm 13742 def nil cons 13743 def cons 13744 def nil cons nil cons cons 1252 ref subst sym nil 59 ref 1237 ref 13742 remove appTerm 13745 def nil cons 13746 def cons 13747 def 1330 ref cons nil cons cons 13748 def 81 ref subst 13748 remove 152 ref subst 6499 remove nil 13018 ref 1330 ref cons nil cons cons 13749 def 132 ref subst proveHyp 6339 remove nil 10885 ref 60 ref 13329 remove 1241 ref appTerm 13750 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 243 ref 219 ref 705 ref 236 ref 705 ref 307 ref 705 ref 3000 ref 10639 remove 3055 ref appTerm 13751 def absTerm 13752 def appTerm 13753 def absTerm 13754 def appTerm 13755 def absTerm 13756 def appTerm 13757 def absTerm 13758 def nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 13757 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13756 remove nil cons cons nil cons nil cons cons 727 ref subst 236 ref nil 94 ref 13755 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13754 remove nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 13753 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 13752 remove nil cons cons nil cons nil cons cons 727 ref subst 3000 ref nil 94 ref 13751 remove nil cons cons nil cons nil cons cons 101 ref subst 3341 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 13759 def nil 59 ref 705 ref 13758 remove appTerm 13760 def nil cons 13761 def cons 13762 def 60 ref 10887 ref 13750 remove appTerm 13763 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1096 ref nil 1098 ref 60 ref 64 ref 13760 ref appTerm 13764 def 13763 remove appTerm 13765 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 746 ref nil 749 ref 60 ref 6292 ref 13765 remove appTerm 13766 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 807 remove nil 809 ref 60 ref 10662 ref 13766 remove appTerm 13767 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 13747 ref 60 ref 10668 ref 13767 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst 64 ref 13745 ref appTerm refl 10687 remove 10690 ref 10688 ref 13764 ref refl 13768 def 10901 remove nil 94 ref 13017 remove cons nil cons nil cons cons 1246 ref subst 13769 def appThm appThm appThm appThm appThm appThm sym nil 13747 remove 60 ref 10668 remove 10662 ref 6292 ref 13764 ref 10887 remove 1237 ref 13016 remove appTerm 13770 def appTerm 13771 def appTerm 13772 def appTerm 13773 def appTerm 13774 def appTerm nil cons 13775 def cons nil cons cons nil cons cons 13776 def 81 ref subst 13776 remove 152 ref subst nil 809 remove 60 ref 13774 remove nil cons 13777 def cons nil cons cons nil cons cons 13778 def 81 ref subst 13778 remove 152 ref subst nil 749 ref 60 ref 13773 remove nil cons 13779 def cons nil cons cons nil cons cons 13780 def 81 ref subst 13780 remove 152 ref subst nil 1098 ref 60 ref 13772 remove nil cons 13781 def cons nil cons cons nil cons cons 13782 def 81 ref subst 13782 remove 152 ref subst nil 13762 ref 60 ref 13771 remove nil cons 13783 def cons nil cons cons nil cons cons 13784 def 81 ref subst 13784 remove 152 ref subst nil 10885 ref 60 ref 13770 remove nil cons 13785 def cons nil cons cons nil cons cons 13786 def 81 ref subst 13786 remove 152 ref subst 13769 remove 13749 ref 81 ref subst 13749 remove 152 ref subst nil 243 ref 13741 ref nil cons cons 13787 def nil cons nil cons cons 13063 ref subst 7239 ref 219 ref 1443 ref 13741 ref 233 ref appTerm betaConv appThm nil 243 ref 13740 ref nil cons cons nil cons nil cons cons 13063 ref subst 7239 ref 307 ref 1443 ref 13740 remove 320 ref appTerm betaConv appThm nil 243 ref 13739 ref nil cons cons nil cons nil cons cons 13063 remove subst 7239 remove 756 ref 1443 ref 13739 remove 758 ref appTerm betaConv appThm absThm appThm trans trans absThm appThm trans trans absThm appThm trans 13745 remove assume eqMp nil 59 ref 218 ref 219 ref 218 ref 307 ref 218 ref 756 ref 1237 ref 13738 ref appTerm 13788 def absTerm 13789 def appTerm 13790 def absTerm 13791 def appTerm 13792 def absTerm 13793 def appTerm 13794 def nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 219 ref 64 ref 13793 ref 233 ref appTerm 13795 def appTerm 1241 ref appTerm 13796 def absTerm 13797 def nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 13796 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13795 ref nil cons 13798 def cons 1330 ref cons nil cons cons 13799 def 81 ref subst 13799 remove 152 ref subst 13795 ref betaConv 13795 remove assume eqMp nil 59 ref 13792 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 307 ref 64 ref 13791 ref 320 ref appTerm 13800 def appTerm 1241 ref appTerm 13801 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 13801 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13800 ref nil cons 13802 def cons 1330 ref cons nil cons cons 13803 def 81 ref subst 13803 remove 152 ref subst 13800 ref betaConv 13800 remove assume eqMp nil 59 ref 13790 ref nil cons cons 1330 ref cons nil cons cons 132 ref subst proveHyp nil 243 ref 756 ref 64 ref 13789 ref 758 ref appTerm 13804 def appTerm 1241 ref appTerm 13805 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 13805 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13804 ref nil cons 13806 def cons 1330 ref cons nil cons cons 13807 def 81 ref subst 13807 remove 152 ref subst 13804 ref betaConv 13804 remove assume eqMp nil 59 ref 13788 ref nil cons 13808 def cons 1330 ref cons nil cons cons 13809 def 132 ref subst proveHyp 13809 ref 81 ref subst 13809 remove 152 ref subst nil "_16518" 214 ref var 13810 def 815 ref cons "_16517" 214 ref var 13811 def 710 remove cons nil cons cons nil cons cons 307 ref 232 ref 4444 ref 13811 ref varTerm 13812 def appTerm 320 ref appTerm appTerm 4588 remove 13812 ref appTerm appTerm absTerm 13813 def 13810 ref varTerm 13814 def appTerm 13815 def betaConv 6337 remove 13812 ref appTerm 13816 def betaConv nil 10885 remove 60 ref 13816 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 6338 remove 219 ref 13812 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13813 ref appTerm nil cons cons 60 ref 13815 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13813 remove nil cons cons 219 ref 13814 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp 13817 def subst nil 59 ref 13736 remove 4444 ref 758 ref appTerm 13818 def 321 remove appTerm 13819 def appTerm 13820 def nil cons cons 60 ref 232 ref 13819 ref appTerm 13821 def 13737 ref appTerm 13822 def nil cons cons nil cons 13823 def cons nil cons cons 152 ref subst proveHyp nil "_16521" 214 ref var 13824 def 730 ref cons "_16520" 214 ref var 13825 def 244 ref cons "_16519" 214 ref var 13826 def 815 ref cons nil cons cons cons nil cons cons 756 ref 232 ref 4444 ref 13826 remove varTerm 13827 def appTerm 13828 def 318 ref 13825 remove varTerm 13829 def appTerm 758 ref appTerm appTerm appTerm 318 ref 13828 ref 13829 ref appTerm appTerm 13828 ref 758 ref appTerm 13830 def appTerm appTerm absTerm 13831 def 13824 remove varTerm 13832 def appTerm 13833 def betaConv 307 ref 705 ref 756 ref 232 ref 13828 ref 3439 remove appTerm appTerm 318 ref 13828 remove 320 ref appTerm appTerm 13830 remove appTerm appTerm absTerm appTerm absTerm 13834 def 13829 ref appTerm 13835 def betaConv 6485 remove 13827 ref appTerm 13836 def betaConv nil 13018 remove 60 ref 13836 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 6486 remove 219 ref 13827 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13834 ref appTerm nil cons cons 60 ref 13835 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13834 remove nil cons cons 219 ref 13829 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13831 ref appTerm nil cons cons 60 ref 13833 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13831 remove nil cons cons 219 ref 13832 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 13821 remove 318 ref 13818 ref 233 ref appTerm 13837 def appTerm 13818 remove 320 ref appTerm 13838 def appTerm 13839 def appTerm 13840 def nil cons cons 60 ref 232 ref 13839 ref appTerm 13737 ref appTerm 13841 def nil cons cons nil cons 13842 def cons nil cons cons 152 ref subst proveHyp nil 13810 ref 244 ref cons 13811 remove 815 remove cons nil cons 13843 def cons nil cons cons 13817 ref subst nil 59 ref 232 ref 13837 ref appTerm 6463 remove appTerm 13844 def nil cons cons 60 ref 232 ref 13838 ref appTerm 6618 ref appTerm 13845 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 13810 remove 730 ref cons 13843 remove cons nil cons cons 13817 remove subst eqMp nil 59 ref 70 ref 13844 remove appTerm 13845 remove appTerm nil cons cons 13842 remove cons nil cons cons 132 ref subst proveHyp nil "_16516" 214 ref var 13846 def 6621 remove cons "_16515" 214 ref var 13847 def 13838 remove nil cons cons "_16514" 214 ref var 13848 def 6468 remove cons "_16513" 214 ref var 13849 def 13837 remove nil cons cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 13849 remove varTerm 13850 def appTerm 13851 def 13848 remove varTerm 13852 def appTerm 13853 def appTerm 13854 def appTerm 13855 def 1237 ref 232 ref 13847 remove varTerm 13856 def appTerm 13857 def 13846 remove varTerm 13858 def appTerm 13859 def appTerm 13860 def appTerm nil cons cons 1648 ref 232 ref 318 ref 13850 ref appTerm 13861 def 13856 ref appTerm appTerm 13862 def 318 ref 13852 ref appTerm 13863 def 13858 ref appTerm appTerm 13864 def nil cons 13865 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 13860 remove nil cons 13866 def cons 1648 ref 13854 remove nil cons 13867 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13853 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 13859 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 13864 remove refl appThm trans 13855 ref refl nil 60 ref 13865 ref cons 13868 def 59 ref 13866 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 13866 ref cons 13868 remove 59 ref 13867 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 13867 remove cons 1708 ref 13866 remove cons 1792 ref 13865 remove cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 1337 ref 13855 ref 1237 ref 13857 remove 3001 ref appTerm appTerm appTerm appTerm 13862 remove 13863 remove 3001 ref appTerm 13869 def appTerm appTerm absTerm 13870 def 13858 ref appTerm 13871 def betaConv 307 ref 705 ref 3000 ref 1337 ref 13855 remove 10784 ref appTerm appTerm 232 ref 13861 remove 320 ref appTerm appTerm 13872 def 13869 remove appTerm appTerm absTerm appTerm absTerm 13873 def 13856 ref appTerm 13874 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 1337 ref 1337 ref 1237 ref 13851 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 13872 remove 3002 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13875 def 13852 ref appTerm 13876 def betaConv 219 ref 705 ref 236 ref 705 ref 307 ref 705 ref 3000 ref 10791 remove 3055 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13877 def 13850 ref appTerm 13878 def betaConv 706 ref 219 ref 706 ref 236 ref 706 ref 307 ref 706 ref 3000 ref 3057 remove 2729 ref subst 10794 remove 3055 remove refl appThm trans absThm appThm absThm appThm absThm appThm absThm appThm 13760 ref assume eqMp 13879 def nil 59 ref 705 ref 13877 ref appTerm nil cons cons 13880 def 60 ref 13878 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13877 ref nil cons cons 13881 def 219 ref 13850 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13875 ref appTerm nil cons cons 60 ref 13876 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13875 remove nil cons cons 219 ref 13852 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13873 ref appTerm nil cons cons 60 ref 13874 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13873 remove nil cons cons 219 ref 13856 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13870 ref appTerm nil cons cons 60 ref 13871 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13870 remove nil cons cons 219 ref 13858 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp eqMp nil 59 ref 70 ref 13840 remove appTerm 13841 remove appTerm nil cons cons 13823 remove cons nil cons cons 132 ref subst proveHyp nil "_16512" 214 ref var 13882 def 13737 remove nil cons cons 13883 def "_16511" 214 ref var 13884 def 13839 remove nil cons cons "_16510" 214 ref var 13885 def 13819 remove nil cons 13886 def cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 13885 ref varTerm 13887 def appTerm 13888 def 13884 ref varTerm 13889 def appTerm 13890 def appTerm 13891 def appTerm 13892 def 1237 ref 232 ref 13889 ref appTerm 13893 def 13882 remove varTerm 13894 def appTerm 13895 def appTerm 13896 def appTerm nil cons cons 1648 ref 13888 ref 13894 ref appTerm 13897 def nil cons 13898 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 13896 remove nil cons 13899 def cons 1648 ref 13891 remove nil cons 13900 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13890 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 13895 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 13897 remove refl appThm trans 13892 ref refl nil 60 ref 13898 ref cons 13901 def 59 ref 13899 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 13899 ref cons 13901 remove 59 ref 13900 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 13900 remove cons 1708 ref 13899 remove cons 1792 ref 13898 remove cons nil cons cons cons nil cons cons 2701 ref subst 756 ref 1337 ref 13892 remove 1237 ref 13893 remove 758 ref appTerm appTerm appTerm appTerm 13888 ref 758 ref appTerm 13902 def appTerm absTerm 13903 def 13894 ref appTerm 13904 def betaConv 307 ref 705 ref 756 ref 1337 ref 1337 ref 1237 ref 13888 remove 320 ref appTerm appTerm appTerm 8785 ref appTerm appTerm 13902 remove appTerm absTerm appTerm absTerm 13905 def 13889 ref appTerm 13906 def betaConv 8789 ref 13887 ref appTerm 13907 def betaConv 8791 ref nil 8792 ref 60 ref 13907 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 8793 ref 219 ref 13887 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13905 ref appTerm nil cons cons 60 ref 13906 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13905 remove nil cons cons 219 ref 13889 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13903 ref appTerm nil cons cons 60 ref 13904 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13903 remove nil cons cons 219 ref 13894 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp 13908 def subst eqMp eqMp nil 59 ref 70 ref 13820 remove appTerm 13822 remove appTerm nil cons cons 60 ref 13738 remove nil cons 13909 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 13883 remove 13884 remove 13886 remove cons 13885 remove 13735 remove nil cons cons nil cons cons cons nil cons cons 13908 remove subst eqMp nil 59 ref 13909 remove cons 13910 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 13910 remove nil cons nil cons cons 1613 ref subst 13788 remove assume eqMp eqMp eqMp nil 107 ref 13808 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 13806 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 ref 64 ref 13789 ref 237 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 13790 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13789 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 13802 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 ref 64 ref 13791 ref 237 ref appTerm appTerm 1241 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 13792 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13791 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 13798 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 13797 remove appTerm nil cons cons 60 ref 64 ref 13794 remove appTerm 1241 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13793 remove nil cons cons 1614 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 13545 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 11031 remove 109 ref 13785 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13761 ref cons 13911 def 109 ref 13783 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 6308 ref 109 ref 13781 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10862 ref 109 ref 13779 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10866 remove 109 ref 13777 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13746 remove cons 13912 def 109 ref 13775 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 13912 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 13744 ref 1330 ref cons nil cons cons 13913 def 132 ref subst proveHyp 13913 ref 81 ref subst 13913 remove 152 ref subst nil "_16544" 214 ref var 13914 def 244 ref cons "_16543" 214 ref var 13915 def 8942 remove cons "_16542" 214 ref var 13916 def 6685 ref cons nil cons cons cons nil cons cons 756 ref 232 ref 4444 ref 318 ref 13916 remove varTerm 13917 def appTerm 13918 def 13915 remove varTerm 13919 def appTerm appTerm 758 ref appTerm appTerm 318 ref 4444 ref 13917 ref appTerm 758 ref appTerm appTerm 13920 def 4444 ref 13919 ref appTerm 758 ref appTerm appTerm appTerm absTerm 13921 def 13914 remove varTerm 13922 def appTerm 13923 def betaConv 307 ref 705 ref 756 ref 232 ref 4444 remove 13918 remove 320 ref appTerm appTerm 758 ref appTerm appTerm 13920 remove 6618 remove appTerm appTerm absTerm appTerm absTerm 13924 def 13919 ref appTerm 13925 def betaConv 13741 remove 13917 ref appTerm 13926 def betaConv nil 13744 remove 60 ref 13926 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 13787 remove 219 ref 13917 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13924 ref appTerm nil cons cons 60 ref 13925 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13924 remove nil cons cons 219 ref 13919 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13921 ref appTerm nil cons cons 60 ref 13923 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13921 remove nil cons cons 219 ref 13922 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 13730 remove 1330 ref cons nil cons cons 132 ref subst proveHyp 13731 remove 1613 ref subst 13732 remove assume eqMp eqMp eqMp nil 107 ref 13743 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 13733 remove cons 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp 242 ref 243 ref 13626 ref nil cons cons 219 ref 13716 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 13626 remove appTerm nil cons cons 60 ref 13622 ref 13625 ref appTerm nil cons 13927 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 13625 ref nil cons 13928 def cons 219 ref 13714 remove cons nil cons 13929 def cons nil cons cons 6311 ref subst eqMp nil 59 ref 13927 remove cons 60 ref 232 ref 13625 remove appTerm 13616 ref appTerm 13930 def nil cons 13931 def cons nil cons 13932 def cons nil cons cons 152 ref subst proveHyp nil 59 ref 13931 remove cons 13933 def nil cons nil cons cons 13934 def 1252 ref subst sym nil 59 ref 1237 ref 13930 remove appTerm 13935 def nil cons 13936 def cons 13937 def 1330 ref cons nil cons cons 13938 def 81 ref subst 13938 remove 152 ref subst 13759 ref nil 13762 ref 1330 ref cons nil cons cons 13939 def 132 ref subst proveHyp 746 ref nil 749 ref 60 ref 13764 ref 1241 ref appTerm 13940 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 6696 remove nil 10661 ref 60 ref 10662 ref 13940 remove appTerm 13941 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 13937 ref 60 ref 10665 ref 13941 remove appTerm 13942 def nil cons cons nil cons cons nil cons cons 132 ref subst 8870 ref 64 ref 13935 ref appTerm 13943 def 13942 remove appTerm absTerm 13944 def 8871 ref appTerm 13945 def betaConv 219 ref 22 ref 13944 ref appTerm 13946 def absTerm 13947 def 233 ref appTerm 13948 def betaConv 706 ref 219 ref 49 ref 8870 ref 13943 ref refl 10689 remove 10690 ref nil 94 ref 13761 remove cons nil cons nil cons cons 1246 ref subst 13949 def appThm appThm appThm absThm appThm absThm appThm sym nil 243 ref 219 ref 22 ref 8870 ref 13943 remove 10665 remove 10662 ref 1237 ref 13760 remove appTerm 13950 def appTerm 13951 def appTerm 13952 def appTerm 13953 def absTerm 13954 def appTerm 13955 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 13955 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 13954 remove nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 13953 remove nil cons cons nil cons nil cons cons 101 ref subst nil 13937 remove 60 ref 13952 remove nil cons 13956 def cons nil cons cons nil cons cons 13957 def 81 ref subst 13957 remove 152 ref subst nil 10661 ref 60 ref 13951 remove nil cons 13958 def cons nil cons cons nil cons cons 13959 def 81 ref subst 13959 remove 152 ref subst nil 749 ref 60 ref 13950 remove nil cons 13960 def cons nil cons cons nil cons cons 13961 def 81 ref subst 13961 remove 152 ref subst 13949 remove 13939 ref 81 ref subst 13939 remove 152 ref subst nil "_16549" 214 ref var 13962 def 244 ref cons nil cons nil cons cons 10658 remove 13962 remove varTerm 13963 def appTerm 13964 def betaConv nil 10661 remove 60 ref 13964 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 10802 remove 219 ref 13963 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 10657 ref nil cons cons 60 ref 232 ref 8873 ref appTerm 8873 ref appTerm 13965 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_16550" 214 ref var 13966 def 8894 ref cons nil cons nil cons cons 724 ref 13966 remove varTerm 13967 def appTerm 13968 def betaConv nil 749 ref 60 ref 13968 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 725 ref 219 ref 13967 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 70 ref 10657 remove appTerm 13965 remove appTerm nil cons cons 13932 remove cons nil cons cons 132 ref subst proveHyp nil "_16554" 214 ref var 13969 def 8894 ref cons "_16553" 214 ref var 13970 def 8894 ref cons "_16552" 214 ref var 13971 def 244 remove cons "_16551" 214 ref var 13972 def 6684 remove cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 13972 remove varTerm 13973 def appTerm 13974 def 13971 remove varTerm 13975 def appTerm 13976 def appTerm 13977 def appTerm 13978 def 1237 ref 232 ref 13970 remove varTerm 13979 def appTerm 13980 def 13969 remove varTerm 13981 def appTerm 13982 def appTerm 13983 def appTerm nil cons cons 1648 ref 232 ref 318 ref 13973 ref appTerm 13984 def 13979 ref appTerm appTerm 13985 def 318 ref 13975 ref appTerm 13986 def 13981 ref appTerm appTerm 13987 def nil cons 13988 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 13983 remove nil cons 13989 def cons 1648 ref 13977 remove nil cons 13990 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 13976 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 13982 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 13987 remove refl appThm trans 13978 ref refl nil 60 ref 13988 ref cons 13991 def 59 ref 13989 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 13989 ref cons 13991 remove 59 ref 13990 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 13990 remove cons 1708 ref 13989 remove cons 1792 ref 13988 remove cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 1337 ref 13978 ref 1237 ref 13980 remove 3001 ref appTerm appTerm appTerm appTerm 13985 remove 13986 remove 3001 ref appTerm 13992 def appTerm appTerm absTerm 13993 def 13981 ref appTerm 13994 def betaConv 307 ref 705 ref 3000 ref 1337 ref 13978 remove 10784 ref appTerm appTerm 232 ref 13984 remove 320 ref appTerm appTerm 13995 def 13992 remove appTerm appTerm absTerm appTerm absTerm 13996 def 13979 ref appTerm 13997 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 1337 ref 1337 ref 1237 ref 13974 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 13995 remove 3002 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13998 def 13975 ref appTerm 13999 def betaConv 13877 remove 13973 ref appTerm 14000 def betaConv 13879 remove nil 13880 remove 60 ref 14000 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 13881 remove 219 ref 13973 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13998 ref appTerm nil cons cons 60 ref 13999 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13998 remove nil cons cons 219 ref 13975 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13996 ref appTerm nil cons cons 60 ref 13997 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13996 remove nil cons cons 219 ref 13979 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 13993 ref appTerm nil cons cons 60 ref 13994 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13993 remove nil cons cons 219 ref 13981 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 13933 remove 1330 ref cons nil cons cons 132 ref subst proveHyp 13934 remove 1613 ref subst 13935 remove assume eqMp eqMp eqMp nil 13911 ref 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 10862 ref 109 ref 13960 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10864 remove 109 ref 13958 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13936 remove cons 14001 def 109 ref 13956 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 13947 ref appTerm nil cons cons 60 ref 13948 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13947 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 13946 remove nil cons cons 60 ref 13945 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 13944 remove nil cons cons 9078 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 14001 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp 242 ref 243 ref 13624 ref nil cons cons 219 ref 13928 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 13624 remove appTerm nil cons cons 60 ref 13622 remove 13616 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 13616 ref nil cons 14002 def cons 13929 remove cons nil cons cons 6311 ref subst eqMp eqMp nil 59 ref 232 ref 13601 ref appTerm 13616 remove appTerm 14003 def nil cons 14004 def cons 14005 def 60 ref 13617 ref 12995 ref appTerm 14006 def nil cons 14007 def cons nil cons 14008 def cons nil cons cons 14009 def 132 ref subst nil 59 ref 64 ref 14003 ref appTerm 14006 ref appTerm 14010 def nil cons cons nil cons nil cons cons 1252 ref subst sym nil 59 ref 1237 ref 14010 remove appTerm 14011 def nil cons 14012 def cons 14013 def 1330 ref cons nil cons cons 14014 def 81 ref subst 14014 remove 152 ref subst 13012 ref nil 13015 ref 1330 ref cons nil cons cons 14015 def 132 ref subst proveHyp 746 ref nil 749 ref 60 ref 13019 ref 1241 ref appTerm 14016 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 14013 ref 60 ref 10662 ref 14016 remove appTerm 14017 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 13605 ref 60 ref 64 ref 14011 ref appTerm 14018 def 14017 remove appTerm 14019 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 13599 ref 60 ref 64 ref 13602 ref appTerm 14020 def 14019 remove appTerm 14021 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 13587 ref 60 ref 64 ref 13591 ref appTerm 14022 def 14021 remove appTerm 14023 def nil cons cons nil cons cons nil cons cons 132 ref subst 879 ref 64 ref 13585 ref appTerm 14024 def 14023 remove appTerm absTerm 14025 def 883 ref appTerm 14026 def betaConv 8870 ref 22 ref 14025 ref appTerm 14027 def absTerm 14028 def 8871 ref appTerm 14029 def betaConv 219 ref 22 ref 14028 ref appTerm 14030 def absTerm 14031 def 233 ref appTerm 14032 def betaConv 12992 ref 705 ref 14031 ref appTerm 14033 def absTerm 14034 def 12995 ref appTerm 14035 def betaConv 706 ref 12992 ref 706 ref 219 ref 49 ref 8870 ref 49 ref 879 ref 14024 ref refl 14036 def 14022 ref refl 14037 def 14020 ref refl 14038 def 14018 ref refl 10690 ref nil 94 ref 13014 remove cons nil cons nil cons cons 1246 ref subst 14039 def appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 243 ref 12992 ref 705 ref 219 ref 22 ref 8870 ref 22 ref 879 ref 14024 ref 14022 ref 14020 ref 14018 remove 10662 ref 1237 ref 13013 remove appTerm 14040 def appTerm 14041 def appTerm 14042 def appTerm 14043 def appTerm 14044 def appTerm 14045 def absTerm 14046 def appTerm 14047 def absTerm 14048 def appTerm 14049 def absTerm 14050 def appTerm 14051 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 12992 ref nil 94 ref 14051 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 14050 remove nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 14049 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 14048 remove nil cons cons nil cons nil cons cons 841 ref subst 8870 ref nil 94 ref 14047 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 14046 remove nil cons cons nil cons nil cons cons 841 ref subst 879 ref nil 94 ref 14045 remove nil cons cons nil cons nil cons cons 101 ref subst nil 13587 ref 60 ref 14044 remove nil cons 14052 def cons nil cons cons nil cons cons 14053 def 81 ref subst 14053 remove 152 ref subst nil 13599 ref 60 ref 14043 remove nil cons 14054 def cons nil cons cons nil cons cons 14055 def 81 ref subst 14055 remove 152 ref subst nil 13605 ref 60 ref 14042 remove nil cons 14056 def cons nil cons cons nil cons cons 14057 def 81 ref subst 14057 remove 152 ref subst nil 14013 remove 60 ref 14041 remove nil cons 14058 def cons nil cons cons nil cons cons 14059 def 81 ref subst 14059 remove 152 ref subst nil 749 ref 60 ref 14040 remove nil cons 14060 def cons nil cons cons nil cons cons 14061 def 81 ref subst 14061 remove 152 ref subst 14039 remove 14015 ref 81 ref subst 14015 remove 152 ref subst 14009 remove 9281 remove subst 14011 remove assume eqMp 14062 def nil 107 ref 14004 remove cons 109 ref 1237 ref 14006 remove appTerm nil cons cons nil cons cons nil cons cons 14063 def 123 ref subst proveHyp nil 14005 remove 60 ref 70 ref 232 ref 12995 ref appTerm 12995 ref appTerm 14064 def appTerm 13602 ref appTerm 14065 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_16555" 214 ref var 14066 def 13572 ref cons nil cons nil cons cons 724 ref 14066 remove varTerm 14067 def appTerm 14068 def betaConv nil 749 ref 60 ref 14068 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 725 ref 219 ref 14067 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 14064 remove nil cons cons 60 ref 13603 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 13602 remove assume eqMp eqMp nil 59 ref 70 ref 14003 remove appTerm 14065 remove appTerm nil cons cons 14008 remove cons nil cons cons 132 ref subst proveHyp nil "_16559" 214 ref var 14069 def 13572 ref cons "_16558" 214 ref var 14070 def 13572 ref cons "_16557" 214 ref var 14071 def 14002 ref cons "_16556" 214 ref var 14072 def 13601 remove nil cons cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 14072 remove varTerm 14073 def appTerm 14074 def 14071 remove varTerm 14075 def appTerm 14076 def appTerm 14077 def appTerm 14078 def 1337 ref 1237 ref 232 ref 14070 remove varTerm 14079 def appTerm 14080 def 14069 remove varTerm 14081 def appTerm 14082 def appTerm 14083 def appTerm 14084 def 1237 ref 6768 ref 14073 ref appTerm 14085 def 14079 ref appTerm 14086 def appTerm 14087 def appTerm 14088 def appTerm nil cons cons 1648 ref 6768 ref 14075 ref appTerm 14089 def 14081 ref appTerm 14090 def nil cons 14091 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 14088 remove nil cons 14092 def cons 1648 ref 14077 remove nil cons 14093 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 14076 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1642 ref 14087 ref nil cons 14094 def cons 1648 ref 14083 ref nil cons 14095 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 14082 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 14086 ref nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm trans appThm 14090 ref refl appThm trans 14078 ref refl 14084 remove refl nil 60 ref 14091 remove cons 14096 def 59 ref 14094 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 14094 remove cons 14096 ref 59 ref 14095 ref cons nil cons cons cons nil cons cons 1816 ref subst trans appThm nil 969 ref 14092 remove cons 14096 remove 59 ref 14093 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 14093 remove cons 1708 ref 14095 remove cons 1792 ref 1337 ref 14087 remove appTerm 14097 def 14090 ref appTerm 14098 def nil cons cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 70 ref 1337 ref 14078 ref 1237 ref 14080 remove 3001 ref appTerm appTerm appTerm appTerm 14099 def 1337 ref 14086 remove appTerm 14100 def 1237 ref 14089 remove 3001 ref appTerm 14101 def appTerm 14102 def appTerm appTerm appTerm 14099 remove 14097 remove 14101 ref appTerm appTerm appTerm absTerm 14103 def 14081 ref appTerm 14104 def betaConv 307 ref 705 ref 3000 ref 70 ref 1337 ref 14078 ref 10784 ref appTerm appTerm 14105 def 1337 ref 14085 remove 320 ref appTerm 14106 def appTerm 14107 def 14102 remove appTerm appTerm appTerm 14105 remove 1337 ref 1237 ref 14106 remove appTerm appTerm 14108 def 14101 remove appTerm appTerm appTerm absTerm appTerm absTerm 14109 def 14079 ref appTerm 14110 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 70 ref 1337 ref 1337 ref 1237 ref 14074 remove 237 ref appTerm appTerm appTerm 10784 ref appTerm appTerm 14111 def 14107 remove 13218 ref appTerm appTerm appTerm 14111 remove 14108 remove 6903 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 14112 def 14075 ref appTerm 14113 def betaConv 13224 ref 14073 ref appTerm 14114 def betaConv 13240 ref nil 13241 ref 60 ref 14114 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 13242 ref 219 ref 14073 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14112 ref appTerm nil cons cons 60 ref 14113 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14112 remove nil cons cons 219 ref 14075 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14109 ref appTerm nil cons cons 60 ref 14110 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14109 remove nil cons cons 219 ref 14079 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14103 ref appTerm nil cons cons 60 ref 14104 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14103 remove nil cons cons 219 ref 14081 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 107 ref 1337 ref 14078 remove 14083 remove appTerm appTerm 14115 def 14100 remove 1237 ref 14090 remove appTerm appTerm appTerm nil cons cons 109 ref 14115 remove 14098 remove appTerm nil cons cons nil cons cons nil cons cons 687 ref subst proveHyp eqMp eqMp eqMp subst eqMp nil 59 ref 14007 remove cons 14116 def 1330 ref cons nil cons cons 132 ref subst proveHyp nil 14116 ref nil cons nil cons cons 1613 ref subst 14062 remove 14063 remove 687 ref subst proveHyp eqMp eqMp eqMp nil 13327 ref 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 10862 ref 109 ref 14060 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 14012 remove cons 14117 def 109 ref 14058 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 13604 ref 109 ref 14056 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13598 ref cons 14118 def 109 ref 14054 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13586 remove cons 14119 def 109 ref 14052 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 14034 ref appTerm nil cons cons 60 ref 14035 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14034 remove nil cons cons 13573 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14033 remove nil cons cons 60 ref 14032 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14031 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14030 remove nil cons cons 60 ref 14029 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 14028 remove nil cons cons 9078 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14027 remove nil cons cons 60 ref 14026 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 14025 remove nil cons cons 903 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 14117 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp proveHyp nil 14116 remove 60 ref 13574 remove 13618 ref appTerm 14120 def nil cons 14121 def cons nil cons 14122 def cons nil cons cons 152 ref subst proveHyp nil 59 ref 14121 remove cons 14123 def nil cons nil cons cons 14124 def 1252 ref subst sym nil 59 ref 1237 ref 14120 remove appTerm 14125 def nil cons 14126 def cons 14127 def 1330 ref cons nil cons cons 14128 def 81 ref subst 14128 remove 152 ref subst 12532 remove nil 12535 remove 1330 ref cons nil cons cons 14129 def 132 ref subst proveHyp 13012 remove nil 13015 ref 60 ref 12547 remove 1241 ref appTerm 14130 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 746 remove nil 749 ref 60 ref 13019 ref 14130 remove appTerm 14131 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 4311 ref nil 59 ref 705 ref 4254 ref appTerm 14132 def nil cons 14133 def cons 14134 def 60 ref 10662 ref 14131 remove appTerm 14135 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 14127 ref 60 ref 64 ref 14132 ref appTerm 14136 def 14135 remove appTerm 14137 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 13605 ref 60 ref 64 ref 14125 ref appTerm 14138 def 14137 remove appTerm 14139 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 13599 ref 60 ref 14020 ref 14139 remove appTerm 14140 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 13587 ref 60 ref 14022 ref 14140 remove appTerm 14141 def nil cons cons nil cons cons nil cons cons 132 ref subst 879 ref 14024 ref 14141 remove appTerm absTerm 14142 def 883 remove appTerm 14143 def betaConv 12992 ref 22 ref 14142 ref appTerm 14144 def absTerm 14145 def 12995 ref appTerm 14146 def betaConv 8870 ref 705 ref 14145 ref appTerm 14147 def absTerm 14148 def 8871 remove appTerm 14149 def betaConv 219 ref 22 ref 14148 ref appTerm 14150 def absTerm 14151 def 233 ref appTerm 14152 def betaConv 706 ref 219 ref 49 ref 8870 ref 706 ref 12992 ref 49 ref 879 ref 14036 remove 14037 remove 14038 remove 14138 ref refl 14136 ref refl 10690 remove 13052 remove nil 94 ref 12534 remove cons nil cons nil cons cons 1246 ref subst 14153 def appThm appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 243 ref 219 ref 22 ref 8870 ref 705 ref 12992 ref 22 ref 879 ref 14024 remove 14022 remove 14020 remove 14138 remove 14136 ref 10662 remove 13019 remove 1237 ref 12533 ref appTerm 14154 def appTerm 14155 def appTerm 14156 def appTerm 14157 def appTerm 14158 def appTerm 14159 def appTerm 14160 def appTerm 14161 def absTerm 14162 def appTerm 14163 def absTerm 14164 def appTerm 14165 def absTerm 14166 def appTerm 14167 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 14167 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 14166 remove nil cons cons nil cons nil cons cons 841 ref subst 8870 remove nil 94 ref 14165 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 14164 remove nil cons cons nil cons nil cons cons 727 ref subst 12992 ref nil 94 ref 14163 remove nil cons cons nil cons nil cons cons 101 ref subst nil 135 ref 14162 remove nil cons cons nil cons nil cons cons 841 ref subst 879 remove nil 94 ref 14161 remove nil cons cons nil cons nil cons cons 101 ref subst nil 13587 ref 60 ref 14160 remove nil cons 14168 def cons nil cons cons nil cons cons 14169 def 81 ref subst 14169 remove 152 ref subst nil 13599 remove 60 ref 14159 remove nil cons 14170 def cons nil cons cons nil cons cons 14171 def 81 ref subst 14171 remove 152 ref subst nil 13605 remove 60 ref 14158 remove nil cons 14172 def cons nil cons cons nil cons cons 14173 def 81 ref subst 14173 remove 152 ref subst nil 14127 remove 60 ref 14157 remove nil cons 14174 def cons nil cons cons nil cons cons 14175 def 81 ref subst 14175 remove 152 ref subst nil 14134 ref 60 ref 14156 remove nil cons 14176 def cons nil cons cons nil cons cons 14177 def 81 ref subst 14177 remove 152 ref subst nil 749 ref 60 ref 14155 remove nil cons 14178 def cons nil cons cons nil cons cons 14179 def 81 ref subst 14179 remove 152 ref subst nil 13015 remove 60 ref 14154 remove nil cons 14180 def cons nil cons cons nil cons cons 14181 def 81 ref subst 14181 remove 152 ref subst 14153 remove 14129 ref 81 ref subst 14129 remove 152 ref subst nil 13587 remove 60 ref 12431 remove 13618 ref appTerm 14182 def nil cons cons nil cons 14183 def cons nil cons cons 152 ref subst nil "_16561" 214 ref var 14184 def 12620 ref cons nil cons nil cons cons 724 remove 14184 remove varTerm 14185 def appTerm 14186 def betaConv nil 749 remove 60 ref 14186 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 725 remove 219 ref 14185 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 232 ref 12430 ref appTerm 12430 remove appTerm 14187 def nil cons cons 60 ref 70 ref 232 ref 13618 ref appTerm 8873 remove appTerm 14188 def appTerm 13591 ref appTerm 14189 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_16560" 214 ref var 14190 def 8894 ref cons nil cons nil cons cons 4254 ref 14190 remove varTerm 14191 def appTerm 14192 def betaConv nil 14134 ref 60 ref 14192 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 4255 ref 219 ref 14191 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 14188 remove nil cons cons 60 ref 13598 remove cons nil cons cons nil cons cons 152 ref subst proveHyp 13591 remove assume eqMp eqMp nil 59 ref 70 ref 14187 remove appTerm 14189 remove appTerm nil cons cons 14183 remove cons nil cons cons 132 ref subst proveHyp nil "_16565" 214 ref var 14193 def 8894 ref cons "_16564" 214 ref var 14194 def 13618 ref nil cons 14195 def cons "_16563" 214 ref var 14196 def 12620 ref cons "_16562" 214 ref var 14197 def 12620 ref cons nil cons cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 14197 remove varTerm 14198 def appTerm 14199 def 14196 remove varTerm 14200 def appTerm 14201 def appTerm 14202 def appTerm 14203 def 1337 ref 1237 ref 232 ref 14194 remove varTerm 14204 def appTerm 14205 def 14193 remove varTerm 14206 def appTerm 14207 def appTerm 14208 def appTerm 1237 ref 6768 ref 14200 ref appTerm 14209 def 14206 ref appTerm 14210 def appTerm 14211 def appTerm 14212 def appTerm nil cons cons 1648 ref 6768 ref 14198 ref appTerm 14213 def 14204 ref appTerm 14214 def nil cons 14215 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 14212 remove nil cons 14216 def cons 1648 ref 14202 remove nil cons 14217 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 14201 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1642 ref 14211 ref nil cons 14218 def cons 1648 ref 14208 ref nil cons 14219 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 14207 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 14210 ref nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm trans appThm 14214 ref refl appThm trans 14203 ref refl nil 969 ref 14218 remove cons 60 ref 14215 remove cons 14220 def 59 ref 14219 ref cons nil cons cons cons nil cons cons 1816 ref subst appThm nil 969 ref 14216 remove cons 14220 remove 59 ref 14217 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 14217 remove cons 1708 ref 14219 remove cons 1792 ref 1337 ref 14214 ref appTerm 14221 def 14211 remove appTerm 14222 def nil cons cons nil cons cons cons nil cons cons 2701 ref subst 3000 ref 70 ref 1337 ref 14203 ref 1237 ref 14205 remove 3001 ref appTerm appTerm appTerm appTerm 14223 def 14221 remove 1237 ref 14209 remove 3001 remove appTerm 14224 def appTerm 14225 def appTerm appTerm appTerm 14223 remove 1337 ref 1237 ref 14214 remove appTerm appTerm 14226 def 14224 ref appTerm appTerm appTerm absTerm 14227 def 14206 ref appTerm 14228 def betaConv 307 ref 705 ref 3000 ref 70 ref 1337 ref 14203 ref 10784 ref appTerm appTerm 14229 def 1337 ref 14213 remove 320 ref appTerm 14230 def appTerm 14231 def 14225 remove appTerm appTerm appTerm 14229 remove 1337 ref 1237 ref 14230 remove appTerm appTerm 14232 def 14224 remove appTerm appTerm appTerm absTerm appTerm absTerm 14233 def 14204 ref appTerm 14234 def betaConv 236 ref 705 ref 307 ref 705 ref 3000 ref 70 ref 1337 ref 1337 ref 1237 ref 14199 remove 237 ref appTerm appTerm appTerm 10784 remove appTerm appTerm 14235 def 14231 remove 13218 remove appTerm appTerm appTerm 14235 remove 14232 remove 6903 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 14236 def 14200 ref appTerm 14237 def betaConv 13224 remove 14198 ref appTerm 14238 def betaConv 13240 remove nil 13241 remove 60 ref 14238 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 13242 remove 219 ref 14198 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14236 ref appTerm nil cons cons 60 ref 14237 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14236 remove nil cons cons 219 ref 14200 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14233 ref appTerm nil cons cons 60 ref 14234 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14233 remove nil cons cons 219 ref 14204 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14227 ref appTerm nil cons cons 60 ref 14228 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14227 remove nil cons cons 219 ref 14206 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 107 ref 1337 ref 14203 remove 14208 remove appTerm appTerm 14239 def 14222 remove appTerm nil cons cons 109 ref 14239 remove 14226 remove 14210 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 123 ref subst proveHyp eqMp eqMp eqMp subst eqMp eqMp nil 59 ref 70 ref 13585 remove appTerm 14182 remove appTerm nil cons cons 14122 remove cons nil cons cons 132 ref subst proveHyp nil "_16568" 214 ref var 14240 def 14195 ref cons "_16567" 214 ref var 14241 def 12620 remove cons "_16566" 214 ref var 14242 def 13572 remove cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 6768 ref 14242 remove varTerm 14243 def appTerm 14244 def 14241 remove varTerm 14245 def appTerm 14246 def appTerm 14247 def appTerm 14248 def 1237 ref 6768 ref 14245 ref appTerm 14249 def 14240 remove varTerm 14250 def appTerm 14251 def appTerm 14252 def appTerm nil cons cons 1648 ref 14244 ref 14250 ref appTerm 14253 def nil cons 14254 def cons nil cons cons nil cons cons 1705 ref subst 651 ref nil 1642 ref 14252 remove nil cons 14255 def cons 1648 ref 14247 remove nil cons 14256 def cons nil cons cons nil cons cons 1790 ref subst 652 ref nil 1648 ref 14246 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 14251 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm trans appThm 14253 remove refl appThm trans 14248 ref refl nil 60 ref 14254 ref cons 14257 def 59 ref 14255 ref cons nil cons cons nil cons cons 1724 ref subst appThm nil 969 ref 14255 ref cons 14257 remove 59 ref 14256 ref cons nil cons cons cons nil cons cons 1816 ref subst trans nil 1709 ref 14256 remove cons 1708 ref 14255 remove cons 1792 ref 14254 remove cons nil cons cons cons nil cons cons 2701 ref subst 756 ref 1337 ref 14248 remove 1237 ref 14249 remove 758 ref appTerm appTerm appTerm appTerm 14244 ref 758 ref appTerm 14258 def appTerm absTerm 14259 def 14250 ref appTerm 14260 def betaConv 307 ref 705 ref 756 ref 1337 ref 1337 ref 1237 ref 14244 remove 320 ref appTerm appTerm appTerm 13068 ref appTerm appTerm 14258 remove appTerm absTerm appTerm absTerm 14261 def 14245 ref appTerm 14262 def betaConv 219 ref 705 ref 307 ref 705 ref 756 ref 1337 ref 13222 remove 13068 remove appTerm appTerm 12482 ref appTerm absTerm appTerm absTerm appTerm absTerm 14263 def 14243 ref appTerm 14264 def betaConv 706 ref 219 ref 706 ref 307 ref 706 ref 756 ref 12558 remove 2729 remove subst 1371 remove nil 6940 ref 13066 remove cons nil cons cons 2034 remove subst appThm 12482 ref refl appThm trans absThm appThm absThm appThm absThm appThm 12533 remove assume eqMp nil 59 ref 705 ref 14263 ref appTerm nil cons cons 60 ref 14264 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14263 remove nil cons cons 219 ref 14243 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14261 ref appTerm nil cons cons 60 ref 14262 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14261 remove nil cons cons 219 ref 14245 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14259 ref appTerm nil cons cons 60 ref 14260 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14259 remove nil cons cons 219 ref 14250 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 14123 remove 1330 ref cons nil cons cons 132 ref subst proveHyp 14124 remove 1613 ref subst 14125 remove assume eqMp eqMp eqMp nil 12562 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 13327 remove 109 ref 14180 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 10862 remove 109 ref 14178 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 14133 ref cons 14265 def 109 ref 14176 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 14126 remove cons 14266 def 109 ref 14174 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 13604 ref 109 ref 14172 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 14118 ref 109 ref 14170 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 14119 ref 109 ref 14168 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 14151 ref appTerm nil cons cons 60 ref 14152 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14151 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14150 remove nil cons cons 60 ref 14149 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 14148 remove nil cons cons 9078 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14147 remove nil cons cons 60 ref 14146 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14145 remove nil cons cons 13573 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14144 remove nil cons cons 60 ref 14143 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 14142 remove nil cons cons 903 remove cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 14266 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp 242 ref 243 ref 13619 ref nil cons cons 13573 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 13619 remove appTerm nil cons cons 60 ref 13617 remove 13618 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 14195 remove cons 219 ref 14002 remove cons nil cons cons nil cons cons 12565 ref subst eqMp eqMp 242 ref 243 ref 13615 ref nil cons cons 219 ref 8894 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 13615 remove appTerm nil cons cons 60 ref 13614 remove cons nil cons cons nil cons cons 132 ref subst proveHyp 8889 remove 307 ref 64 ref 218 ref 13134 ref appTerm 14267 def appTerm 14268 def 6770 ref appTerm 14269 def absTerm 14270 def 320 ref appTerm 14271 def betaConv 219 ref 705 ref 14270 ref appTerm 14272 def absTerm 14273 def 233 ref appTerm 14274 def betaConv nil 243 ref 756 ref 705 ref 219 ref 705 ref 307 ref 64 ref 13033 remove appTerm 6770 ref appTerm 14275 def absTerm 14276 def appTerm 14277 def absTerm 14278 def appTerm 14279 def absTerm 14280 def nil cons cons 14281 def nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 14279 remove nil cons 14282 def cons nil cons nil cons cons 101 ref subst nil 243 ref 14278 ref nil cons cons 14283 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 14277 remove nil cons 14284 def cons nil cons nil cons cons 101 ref subst nil 243 ref 14276 ref nil cons cons 14285 def nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 14275 remove nil cons 14286 def cons nil cons nil cons cons 101 ref subst 13042 ref nil 59 ref 13040 remove cons 60 ref 14286 remove cons nil cons cons nil cons cons 132 ref subst proveHyp 13145 ref 1088 remove subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 59 ref 705 ref 14280 ref appTerm 14287 def nil cons 14288 def cons 14289 def 60 ref 705 ref 14273 ref appTerm nil cons 14290 def cons nil cons cons nil cons cons 14291 def 132 ref subst proveHyp 14291 ref 81 ref subst 14291 remove 152 ref subst nil 243 ref 14273 remove nil cons cons 14292 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 14272 remove nil cons 14293 def cons nil cons nil cons cons 101 ref subst nil 243 ref 14270 remove nil cons cons 14294 def nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 14269 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14267 remove nil cons 14295 def cons 14296 def 7141 ref cons nil cons cons 14297 def 81 ref subst 14297 remove 152 ref subst nil 14289 ref 7141 ref cons nil cons cons 14298 def 132 ref subst nil 14296 remove 60 ref 64 ref 14287 remove appTerm 6770 ref appTerm 14299 def nil cons 14300 def cons nil cons 14301 def cons nil cons cons 132 ref subst nil 243 ref 756 ref 64 ref 13135 ref appTerm 14299 ref appTerm 14302 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 14302 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13135 ref nil cons 14303 def cons 14301 ref cons nil cons cons 14304 def 81 ref subst 14304 remove 152 ref subst 13136 remove 13135 remove assume eqMp nil 13144 remove 14301 remove cons nil cons cons 14305 def 132 ref subst proveHyp 14305 ref 81 ref subst 14305 remove 152 ref subst 14298 ref 81 ref subst 14298 remove 152 ref subst 13145 remove 132 ref subst 14276 remove 320 ref appTerm 14306 def betaConv 14278 remove 233 ref appTerm 14307 def betaConv 14280 remove 758 ref appTerm 14308 def betaConv nil 14289 remove 60 ref 14308 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 14281 remove 6307 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14282 remove cons 60 ref 14307 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 14283 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14284 remove cons 60 ref 14306 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 14285 remove 783 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 14288 remove cons 14309 def 7146 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13143 remove cons 109 ref 14300 remove cons nil cons 14310 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 14303 remove cons 14310 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 ref 64 ref 13134 remove 237 ref appTerm appTerm 14299 ref appTerm absTerm appTerm nil cons cons 60 ref 14268 remove 14299 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13140 remove cons 14310 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 14295 remove cons 7146 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 14309 remove 109 ref 14290 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 14290 remove cons 60 ref 14274 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 14292 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14293 remove cons 60 ref 14271 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 14294 remove 783 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp eqMp eqMp nil 13604 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp 134 ref 135 ref 13577 remove nil cons cons 10066 remove cons nil cons cons 279 ref subst proveHyp eqMp nil 14118 remove 109 ref 13579 remove cons nil cons 14311 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 13596 remove cons 14311 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 ref 64 ref 13592 ref 1065 ref appTerm appTerm 13578 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 13593 remove appTerm 13578 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 13592 remove nil cons cons 14311 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 9177 remove 14311 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 14119 remove 14311 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 13583 remove cons 14311 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 22 ref 136 remove 64 ref 13575 ref 1065 remove appTerm appTerm 13578 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 13576 remove appTerm 13578 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 134 ref 135 ref 13575 remove nil cons cons 14311 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 9090 remove 109 ref 13568 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 59 ref 705 ref 13563 ref appTerm 14312 def nil cons 14313 def cons 14314 def 60 ref 705 ref 13558 ref appTerm nil cons 14315 def cons nil cons cons nil cons cons 14316 def 132 ref subst proveHyp 14316 ref 81 ref subst 14316 remove 152 ref subst nil 243 ref 13558 remove nil cons cons 14317 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 13557 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 13555 remove nil cons 14318 def cons 14319 def 8763 ref cons nil cons cons 14320 def 81 ref subst 14320 remove 152 ref subst nil 14314 ref 8763 ref cons nil cons cons 14321 def 132 ref subst nil 14319 remove 60 ref 64 ref 14312 remove appTerm 8746 remove appTerm 14322 def nil cons 14323 def cons nil cons 14324 def cons nil cons cons 132 ref subst nil 243 ref 12992 ref 64 ref 13554 ref 12995 ref appTerm 14325 def appTerm 14322 ref appTerm 14326 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 12992 remove nil 94 ref 14326 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14325 ref nil cons 14327 def cons 14324 ref cons nil cons cons 14328 def 81 ref subst 14328 remove 152 ref subst 14325 ref betaConv 14325 remove assume eqMp nil 59 ref 13567 ref cons 14329 def 14324 remove cons nil cons cons 14330 def 132 ref subst proveHyp 14330 ref 81 ref subst 14330 remove 152 ref subst 14321 ref 81 ref subst 14321 remove 152 ref subst nil 14329 remove 8763 remove cons nil cons cons 132 ref subst 13561 remove 12995 remove appTerm 14331 def betaConv 13563 remove 233 ref appTerm 14332 def betaConv nil 14314 remove 60 ref 14332 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 13564 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 13565 remove cons 60 ref 14331 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 13566 remove 13573 remove cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 14313 remove cons 14333 def 109 ref 8762 remove cons nil cons 14334 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 13567 remove cons 109 ref 14323 remove cons nil cons 14335 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 14327 remove cons 14335 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 ref 64 ref 13554 ref 237 ref appTerm appTerm 14322 ref appTerm absTerm appTerm nil cons cons 60 ref 13556 remove 14322 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 13554 remove nil cons cons 14335 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 14318 remove cons 14334 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 14333 remove 109 ref 14315 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 14315 remove cons 60 ref 13559 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 14317 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp nil 59 ref 70 ref 3354 remove appTerm 12990 remove appTerm nil cons cons 60 ref 12985 remove 12989 ref appTerm nil cons 14336 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 3000 remove 4240 ref cons 236 ref 730 ref cons 7244 remove 783 ref cons cons cons nil cons cons 3341 remove subst eqMp nil 59 ref 14336 remove cons 60 ref 232 ref 12989 ref appTerm 14337 def 320 ref appTerm 14338 def nil cons 14339 def cons nil cons 14340 def cons nil cons cons 152 ref subst proveHyp nil 59 ref 14339 remove cons 14341 def nil cons nil cons cons 14342 def 1252 remove subst sym nil 59 ref 1237 ref 14338 remove appTerm 14343 def nil cons 14344 def cons 14345 def 1330 ref cons nil cons cons 14346 def 81 ref subst 14346 remove 152 ref subst 4311 remove nil 14134 ref 1330 ref cons nil cons cons 14347 def 132 ref subst proveHyp 13759 remove nil 13762 ref 60 ref 14136 remove 1241 ref appTerm 14348 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1096 remove nil 1098 ref 60 ref 13764 ref 14348 remove appTerm 14349 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3411 remove nil 13048 ref 60 ref 6292 ref 14349 remove appTerm 14350 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 14345 ref 60 ref 13050 ref 14350 remove appTerm 14351 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 12981 ref 60 ref 64 ref 14343 ref appTerm 14352 def 14351 remove appTerm 14353 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 12970 ref 60 ref 13336 ref 14353 remove appTerm 14354 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 12968 ref 60 ref 13338 ref 14354 remove appTerm 14355 def nil cons cons nil cons cons nil cons cons 132 ref subst 756 ref 12955 ref 14355 remove appTerm absTerm 14356 def 758 ref appTerm 14357 def betaConv 219 ref 705 ref 14356 ref appTerm 14358 def absTerm 14359 def 233 ref appTerm 14360 def betaConv 7240 ref 705 ref 14359 ref appTerm 14361 def absTerm 14362 def 7241 remove appTerm 14363 def betaConv 307 ref 705 ref 14362 ref appTerm 14364 def absTerm 14365 def 320 ref appTerm 14366 def betaConv 706 ref 307 ref 706 ref 7240 ref 706 ref 219 ref 706 remove 756 ref 13351 remove 13352 remove 13353 remove 14352 ref refl 13053 remove 10688 remove 13768 remove nil 94 ref 14133 remove cons nil cons nil cons cons 1246 ref subst 14367 def appThm appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 243 ref 307 ref 705 ref 7240 ref 705 ref 219 ref 705 ref 756 ref 12955 remove 13338 remove 13336 remove 14352 remove 13050 remove 6292 remove 13764 remove 1237 ref 14132 remove appTerm 14368 def appTerm 14369 def appTerm 14370 def appTerm 14371 def appTerm 14372 def appTerm 14373 def appTerm 14374 def appTerm 14375 def absTerm 14376 def appTerm 14377 def absTerm 14378 def appTerm 14379 def absTerm 14380 def appTerm 14381 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 14381 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 14380 remove nil cons cons nil cons nil cons cons 727 ref subst 7240 remove nil 94 ref 14379 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 14378 remove nil cons cons nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 14377 remove nil cons cons nil cons nil cons cons 101 ref subst nil 243 ref 14376 remove nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 14375 remove nil cons cons nil cons nil cons cons 101 ref subst nil 12968 ref 60 ref 14374 remove nil cons 14382 def cons nil cons cons nil cons cons 14383 def 81 ref subst 14383 remove 152 ref subst nil 12970 remove 60 ref 14373 remove nil cons 14384 def cons nil cons cons nil cons cons 14385 def 81 ref subst 14385 remove 152 ref subst nil 12981 remove 60 ref 14372 remove nil cons 14386 def cons nil cons cons nil cons cons 14387 def 81 ref subst 14387 remove 152 ref subst nil 14345 remove 60 ref 14371 remove nil cons 14388 def cons nil cons cons nil cons cons 14389 def 81 ref subst 14389 remove 152 ref subst nil 13048 ref 60 ref 14370 remove nil cons 14390 def cons nil cons cons nil cons cons 14391 def 81 ref subst 14391 remove 152 ref subst nil 1098 remove 60 ref 14369 remove nil cons 14392 def cons nil cons cons nil cons cons 14393 def 81 ref subst 14393 remove 152 ref subst nil 13762 remove 60 ref 14368 remove nil cons 14394 def cons nil cons cons nil cons cons 14395 def 81 ref subst 14395 remove 152 ref subst 14367 remove 14347 ref 81 ref subst 14347 remove 152 ref subst nil "_16590" 214 ref var 14396 def 4240 remove cons "_16589" 214 ref var 14397 def 730 ref cons nil cons cons nil cons cons 307 ref 232 ref 318 ref 14397 remove varTerm 14398 def appTerm 320 ref appTerm appTerm 707 remove 14398 ref appTerm appTerm absTerm 14399 def 14396 remove varTerm 14400 def appTerm 14401 def betaConv 3387 remove 14398 ref appTerm 14402 def betaConv nil 13048 remove 60 ref 14402 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 3388 remove 219 ref 14398 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14399 ref appTerm nil cons cons 60 ref 14401 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14399 remove nil cons cons 219 ref 14400 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst nil 59 ref 14337 remove 4237 remove 320 ref appTerm 14403 def appTerm 14404 def nil cons cons 60 ref 232 ref 14403 ref appTerm 320 ref appTerm 14405 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil "_16598" 214 ref var 14406 def 730 ref cons nil cons nil cons cons 4254 remove 14406 remove varTerm 14407 def appTerm 14408 def betaConv nil 14134 remove 60 ref 14408 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 4255 remove 219 ref 14407 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 70 ref 14404 remove appTerm 14405 remove appTerm nil cons cons 14340 remove cons nil cons cons 132 ref subst proveHyp nil "_16593" 214 ref var 14409 def 730 ref cons "_16592" 214 ref var 14410 def 14403 remove nil cons cons "_16591" 214 ref var 14411 def 12989 remove nil cons 14412 def cons nil cons cons cons nil cons cons nil 1642 ref 1337 ref 1237 ref 232 ref 14411 remove varTerm 14413 def appTerm 14414 def 14410 remove varTerm 14415 def appTerm 14416 def appTerm 14417 def appTerm 14418 def 1237 ref 232 remove 14415 ref appTerm 14419 def 14409 remove varTerm 14420 def appTerm 14421 def appTerm 14422 def appTerm nil cons cons 1648 ref 14414 ref 14420 ref appTerm 14423 def nil cons 14424 def cons nil cons cons nil cons cons 1705 remove subst 651 ref nil 1642 ref 14422 remove nil cons 14425 def cons 1648 ref 14417 remove nil cons 14426 def cons nil cons cons nil cons cons 1790 remove subst 652 ref nil 1648 ref 14416 remove nil cons cons nil cons nil cons cons 1707 ref subst appThm nil 1648 ref 14421 remove nil cons cons nil cons nil cons cons 1707 remove subst appThm trans appThm 14423 remove refl appThm trans 14418 ref refl nil 60 ref 14424 ref cons 14427 def 59 ref 14425 ref cons nil cons cons nil cons cons 1724 remove subst appThm nil 969 ref 14425 ref cons 14427 remove 59 ref 14426 ref cons nil cons cons cons nil cons cons 1816 remove subst trans nil 1709 ref 14426 remove cons 1708 ref 14425 remove cons 1792 ref 14424 remove cons nil cons cons cons nil cons cons 2701 remove subst 756 ref 1337 ref 14418 remove 1237 ref 14419 remove 758 ref appTerm appTerm appTerm appTerm 14414 ref 758 ref appTerm 14428 def appTerm absTerm 14429 def 14420 ref appTerm 14430 def betaConv 307 ref 705 ref 756 ref 1337 ref 1337 ref 1237 ref 14414 remove 320 ref appTerm appTerm appTerm 8785 remove appTerm appTerm 14428 remove appTerm absTerm appTerm absTerm 14431 def 14415 ref appTerm 14432 def betaConv 8789 remove 14413 ref appTerm 14433 def betaConv 8791 remove nil 8792 remove 60 ref 14433 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 8793 remove 219 ref 14413 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14431 ref appTerm nil cons cons 60 ref 14432 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14431 remove nil cons cons 219 ref 14415 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 705 ref 14429 ref appTerm nil cons cons 60 ref 14430 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14429 remove nil cons cons 219 ref 14420 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 14341 remove 1330 remove cons nil cons cons 132 ref subst proveHyp 14342 remove 1613 remove subst 14343 remove assume eqMp eqMp eqMp nil 14265 remove 1614 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 13911 remove 109 ref 14394 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 6308 remove 109 ref 14392 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 13326 remove 109 ref 14390 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 14344 remove cons 14434 def 109 ref 14388 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 13547 ref 109 ref 14386 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 13548 ref 109 ref 14384 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 13549 ref 109 ref 14382 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 59 ref 705 ref 14365 ref appTerm nil cons cons 60 ref 14366 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14365 remove nil cons cons 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14364 remove nil cons cons 60 ref 14363 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14362 remove nil cons cons 13550 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14361 remove nil cons cons 60 ref 14360 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14359 remove nil cons cons 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14358 remove nil cons cons 60 ref 14357 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 14356 remove nil cons cons 6307 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 14434 remove 1614 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp 242 ref 243 ref 12988 ref nil cons cons 219 ref 14412 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12988 remove appTerm nil cons cons 60 ref 12987 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 ref 730 remove cons 14435 def 219 ref 12598 remove cons nil cons 14436 def cons nil cons cons 6311 ref subst eqMp eqMp eqMp 242 ref 243 ref 12983 ref nil cons cons 14436 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 12983 remove appTerm nil cons cons 11091 remove cons nil cons cons 132 ref subst proveHyp nil 14435 remove nil cons nil cons cons 6311 remove subst eqMp nil 8741 remove 7141 ref cons nil cons cons 132 ref subst proveHyp 12605 remove eqMp eqMp nil 13547 remove 7146 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12978 remove cons 7146 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 ref 64 ref 12973 ref 237 ref appTerm appTerm 6770 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12974 remove appTerm 6770 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12973 remove nil cons cons 7146 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 13548 remove 7146 ref cons nil cons cons 123 ref subst deductAntisym eqMp nil 6940 remove 7141 ref cons nil cons cons 14437 def 81 ref subst 14437 remove 152 ref subst 6954 remove eqMp nil 7139 ref 7146 ref cons nil cons cons 123 ref subst deductAntisym eqMp 8130 remove nil 7139 remove 109 ref 7852 remove cons 1422 ref 6901 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp nil 13549 ref 7146 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 59 ref 705 ref 12961 ref appTerm 14438 def nil cons 14439 def cons 14440 def 60 ref 705 ref 12953 ref appTerm nil cons 14441 def cons nil cons cons nil cons cons 14442 def 132 ref subst proveHyp 14442 ref 81 ref subst 14442 remove 152 ref subst nil 243 ref 12953 remove nil cons cons 14443 def nil cons nil cons cons 727 ref subst 219 ref nil 94 ref 12952 remove nil cons 14444 def cons nil cons nil cons cons 101 ref subst nil 243 ref 12950 remove nil cons cons 14445 def nil cons nil cons cons 727 ref subst 307 ref nil 94 ref 12949 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12947 remove nil cons 14446 def cons 14447 def 7141 ref cons nil cons cons 14448 def 81 ref subst 14448 remove 152 ref subst nil 14440 ref 7141 remove cons nil cons cons 14449 def 132 ref subst nil 14447 remove 60 ref 64 ref 14438 remove appTerm 6770 remove appTerm 14450 def nil cons 14451 def cons nil cons 14452 def cons nil cons cons 132 ref subst nil 243 ref 756 ref 64 ref 12946 ref 758 ref appTerm 14453 def appTerm 14450 ref appTerm 14454 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 14454 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14453 ref nil cons 14455 def cons 14452 ref cons nil cons cons 14456 def 81 ref subst 14456 remove 152 ref subst 14453 ref betaConv 14453 remove assume eqMp nil 12968 remove 14452 remove cons nil cons cons 14457 def 132 ref subst proveHyp 14457 ref 81 ref subst 14457 remove 152 ref subst 14449 ref 81 ref subst 14449 remove 152 ref subst 12969 remove 132 ref subst 12957 remove 758 ref appTerm 14458 def betaConv 12959 remove 320 ref appTerm 14459 def betaConv 12961 remove 233 ref appTerm 14460 def betaConv nil 14440 remove 60 ref 14460 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 12962 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12963 remove cons 60 ref 14459 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 12964 remove 783 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 12965 remove cons 60 ref 14458 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 12966 remove 6307 remove cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 14439 remove cons 14461 def 7146 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 13549 remove 109 ref 14451 remove cons nil cons 14462 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 14455 remove cons 14462 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 236 remove 64 ref 12946 ref 237 remove appTerm appTerm 14450 ref appTerm absTerm appTerm nil cons cons 60 ref 12948 remove 14450 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12946 remove nil cons cons 14462 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 14446 remove cons 7146 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 14461 remove 109 ref 14441 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 14441 remove cons 60 ref 12954 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 14443 remove 245 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14444 remove cons 60 ref 12951 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 14445 remove 783 remove cons nil cons cons 163 ref subst eqMp eqMp 14463 def subst eqMp eqMp nil 12724 remove 109 ref 12886 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 12885 remove appTerm nil cons cons 60 ref 705 ref 12337 remove 12357 remove 6768 ref 3077 remove appTerm 14464 def 12338 remove appTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 243 ref 756 ref 64 ref 705 ref 219 ref 12352 remove 12482 remove appTerm absTerm 14465 def appTerm 14466 def appTerm 14464 remove 758 ref appTerm 14467 def appTerm 14468 def absTerm nil cons cons nil cons nil cons cons 727 ref subst 756 ref nil 94 ref 14468 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14466 remove nil cons 14469 def cons 14470 def 60 ref 14467 remove nil cons 14471 def cons nil cons 14472 def cons nil cons cons 14473 def 81 ref subst 14473 remove 152 ref subst "z'" 214 remove var 14474 def 22 ref 7 ref 6768 ref 12889 remove appTerm 14475 def 318 ref 12384 remove 758 remove appTerm 14476 def appTerm 14477 def 14474 remove varTerm appTerm appTerm absTerm appTerm absTerm 14478 def 6681 ref appTerm betaConv sym nil 135 ref 7 ref 14475 ref 14477 remove 6681 ref appTerm 14479 def appTerm 14480 def absTerm nil cons cons nil cons nil cons cons 841 ref subst 7 ref nil 94 ref 14480 remove nil cons 14481 def cons nil cons nil cons cons 101 ref subst 307 ref 70 ref 14475 ref 320 ref appTerm appTerm 7683 ref 14479 ref appTerm appTerm absTerm 14482 def 318 remove 12631 remove appTerm 6681 remove appTerm 14483 def appTerm betaConv sym nil 307 ref 14483 ref nil cons 14484 def cons 12901 ref cons nil cons cons 6983 remove subst 48 remove 21 ref 49 ref 864 ref 50 remove 12906 remove appThm 3487 ref nil 8827 remove 219 ref 12748 remove cons nil cons 14485 def cons nil cons cons 3281 remove subst 864 ref 3487 ref nil 4256 remove 12675 remove cons nil cons nil cons cons 4296 remove subst 10312 ref appThm 12925 remove trans appThm 6692 remove 10312 ref appThm 7 remove 5240 ref 34 remove appTerm absTerm 865 ref appTerm betaConv trans appThm absThm trans 10312 ref appThm 864 ref 12914 ref 5240 remove 865 ref appTerm appTerm 14486 def absTerm 865 ref appTerm betaConv trans appThm 739 remove appThm appThm absThm appThm absThm appThm trans sym 21 remove 22 remove 864 ref 26 remove 12905 remove appTerm 14487 def 38 remove 14486 ref appTerm 36 remove appTerm appTerm absTerm appTerm absTerm 14488 def 8 remove appTerm betaConv sym 49 remove 864 ref 14487 ref refl 14489 def nil 23 remove 14486 remove nil cons cons nil cons nil cons cons 4915 remove subst 12915 remove trans appThm absThm appThm sym nil 135 ref 864 ref 14487 remove 12914 remove 865 remove appTerm appTerm 14490 def absTerm nil cons cons nil cons nil cons cons 841 remove subst 864 remove nil 94 ref 14490 remove nil cons cons nil cons nil cons cons 101 ref subst 14489 remove 3487 remove nil 9461 ref 12677 remove cons nil cons cons 4293 remove subst appThm 10312 remove appThm appThm sym nil 9461 remove 8937 remove 166 remove cons nil cons cons nil cons cons 12878 remove subst sym 100 ref eqMp eqMp eqMp absThm eqMp eqMp eqMp 134 remove 135 remove 14488 remove nil cons cons 4832 remove cons nil cons cons 279 ref subst proveHyp eqMp nil 59 ref 14475 remove 14483 ref appTerm nil cons cons 60 ref 6768 remove 14483 remove appTerm 14479 ref appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 307 ref 14476 ref nil cons 14491 def cons 756 ref 6685 remove cons 14485 ref cons cons nil cons cons 13042 remove subst sym 12709 remove nil 12710 remove 60 ref 12632 ref 14476 ref appTerm 14492 def nil cons 14493 def cons nil cons 14494 def cons nil cons cons 132 ref subst proveHyp nil 243 ref 219 ref 12713 remove 14492 ref appTerm 14495 def absTerm 14496 def nil cons cons nil cons nil cons cons 727 remove subst 219 ref nil 94 ref 14495 remove nil cons cons nil cons nil cons cons 101 ref subst nil 12717 remove 14494 ref cons nil cons cons 14497 def 81 ref subst 14497 remove 152 ref subst 12719 remove nil 12721 remove 14494 ref cons nil cons cons 14498 def 132 ref subst proveHyp 14498 ref 81 ref subst 14498 remove 152 ref subst 12727 remove 12728 remove 307 remove 70 ref 12632 remove 320 remove appTerm appTerm 7683 remove 14476 ref appTerm appTerm absTerm 14499 def 12385 remove appTerm betaConv sym 652 ref nil 94 ref 12725 remove cons nil cons nil cons cons 101 ref subst 12633 remove assume eqMp appThm 12796 remove 14476 remove appTerm 14500 def refl appThm nil 94 ref 14500 remove nil cons 14501 def cons nil cons nil cons cons 874 ref subst trans sym nil 12794 remove 12544 remove cons nil cons cons 132 ref subst 14465 ref 233 ref appTerm 14502 def betaConv nil 14470 remove 60 ref 14502 remove nil cons cons nil cons cons nil cons cons 132 ref subst 242 ref 243 ref 14465 remove nil cons cons 245 remove cons nil cons cons 163 ref subst eqMp eqMp eqMp nil 59 ref 12543 remove cons 60 ref 14501 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 728 remove 11620 remove cons nil cons cons 12607 remove subst eqMp eqMp eqMp 242 ref 243 ref 14499 ref nil cons cons 12801 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 14499 remove appTerm nil cons cons 14494 remove cons nil cons cons 132 ref subst proveHyp nil 756 ref 14491 remove cons 14485 remove cons nil cons cons 12565 ref subst eqMp proveHyp proveHyp eqMp nil 12837 remove 109 ref 14493 remove cons nil cons 14503 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 12839 remove 14503 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 14496 remove appTerm nil cons cons 60 ref 12840 remove 14492 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 12841 remove 14503 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp eqMp 242 ref 243 ref 14482 ref nil cons cons 219 ref 14484 remove cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 ref 14482 remove appTerm nil cons cons 60 ref 14481 remove cons nil cons cons nil cons cons 132 ref subst proveHyp nil 756 remove 14479 remove nil cons cons 12901 remove cons nil cons cons 12565 remove subst eqMp eqMp absThm eqMp eqMp 242 ref 243 ref 14478 ref nil cons cons 6686 remove cons nil cons cons 279 ref subst proveHyp nil 59 ref 218 remove 14478 remove appTerm nil cons cons 14472 remove cons nil cons cons 132 ref subst proveHyp nil 816 remove 219 ref 12902 remove cons nil cons 14504 def cons nil cons cons 14463 remove subst eqMp eqMp nil 107 ref 14469 remove cons 109 ref 14471 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp proveHyp eqMp 242 ref 243 ref 12358 remove nil cons cons 14504 remove cons nil cons cons 279 ref subst proveHyp proveHyp eqMp nil 107 ref 12651 remove cons 109 ref 12360 remove cons nil cons 14505 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 12690 remove cons 109 ref 12659 remove cons nil cons 14506 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 107 ref 12656 remove cons 14506 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 107 ref 12640 remove cons 14505 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12628 remove cons 14505 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 3105 remove 6 remove 64 ref 12625 ref 13 remove appTerm appTerm 12359 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 7272 remove 12625 ref appTerm appTerm 12359 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3108 remove 3107 remove 12625 remove nil cons cons 14505 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp proveHyp eqMp nil 107 ref 12380 remove cons 14505 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12377 remove cons 14505 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 ref 219 ref 64 ref 12354 ref 233 ref appTerm appTerm 12359 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12355 remove appTerm 12359 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 ref 243 ref 12354 remove nil cons cons 14505 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 12371 remove cons 14505 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12368 remove cons 14505 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 705 remove 219 remove 64 ref 12350 ref 233 remove appTerm appTerm 12359 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12351 remove appTerm 12359 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 242 remove 243 remove 12350 remove nil cons cons 14505 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 12356 remove cons 14505 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12322 remove cons 109 ref 12317 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp absThm eqMp nil 59 ref 1102 remove 12306 ref appTerm nil cons cons 60 ref 12309 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3376 remove 3377 remove 12306 remove nil cons cons 3378 remove 12308 ref nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 64 ref 70 ref 1109 ref 302 ref 12308 remove 328 ref appTerm 14507 def absTerm appTerm appTerm 1109 ref 12297 ref 416 ref 302 ref 64 ref 14507 ref appTerm 14508 def 12300 ref appTerm absTerm appTerm 14509 def absTerm appTerm appTerm appTerm 1109 ref 12297 ref 70 ref 14509 remove appTerm 416 ref 12302 ref 64 ref 416 ref 302 ref 14508 remove 12304 ref appTerm absTerm appTerm appTerm 12305 ref appTerm absTerm appTerm appTerm absTerm appTerm appTerm nil cons cons 11995 ref cons nil cons cons 132 ref subst proveHyp 651 ref 651 ref 652 ref 7248 ref 302 ref 14507 remove betaConv 14510 def absThm appThm appThm 7248 ref 12297 ref 417 ref 302 ref 651 ref 14510 remove appThm 14511 def 12300 ref refl appThm absThm appThm 14512 def absThm appThm appThm appThm 7248 remove 12297 ref 652 ref 14512 remove appThm 417 ref 12302 ref 651 ref 417 ref 302 ref 14511 remove 12304 ref refl appThm absThm appThm appThm 12305 ref refl appThm absThm appThm appThm absThm appThm appThm appThm 11986 ref refl 14513 def appThm sym 302 ref 3633 ref 12201 remove appTerm 14514 def absTerm 14515 def 12203 ref appTerm betaConv sym nil 12007 ref 60 ref 3633 ref 12204 remove appTerm 14516 def nil cons 14517 def cons nil cons cons nil cons cons 132 ref subst 3633 ref refl 14518 def nil 12080 remove 60 ref 12205 remove nil cons cons nil cons cons nil cons cons 132 ref subst 12206 ref 3636 ref appTerm 14519 def betaConv nil 59 ref 12293 remove cons 60 ref 14519 remove nil cons cons nil cons cons nil cons cons 132 ref subst 3623 ref 3622 ref 12206 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp 14520 def eqMp appThm nil 59 ref 63 ref 14516 ref appTerm 3637 ref appTerm nil cons cons 60 ref 11970 ref 14516 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 1642 ref 14517 remove cons 1648 ref 12006 ref cons nil cons cons nil cons cons nil 2955 ref 60 ref 64 ref 2952 remove 1651 ref appTerm appTerm 2428 ref appTerm nil cons 14521 def cons nil cons 14522 def cons nil cons cons 14523 def 81 ref subst 14523 remove 152 ref subst 63 ref "_17291" 16 ref var 14524 def 64 ref 63 ref 14524 remove varTerm 14525 def appTerm 1651 ref appTerm appTerm 2427 ref 14525 remove appTerm appTerm absTerm 14526 def 1657 ref appTerm 14527 def appTerm refl 14528 def 14526 ref 1241 ref appTerm betaConv appThm 111 ref 14527 remove betaConv appThm 14529 def 64 ref 1351 remove 1651 ref appTerm appTerm 2427 ref 1241 ref appTerm 14530 def appTerm refl appThm trans 14526 remove refl 14531 def 2967 ref appThm eqMp sym 651 ref 1706 ref 1362 remove subst appThm 1706 ref 1246 remove subst 14532 def appThm nil 94 ref 8026 remove cons nil cons nil cons cons 2485 ref subst trans sym 100 ref eqMp eqMp eqMp nil 2971 ref 109 ref 14521 ref cons nil cons 14533 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 2975 ref 14522 remove cons nil cons cons 14534 def 81 ref subst 14534 remove 152 ref subst 14528 remove "_17289" 16 ref var 14535 def 64 ref 63 ref 14535 remove varTerm 14536 def appTerm 1651 ref appTerm appTerm 2427 ref 14536 remove appTerm appTerm absTerm 86 ref appTerm betaConv appThm 14529 remove 64 ref 1395 remove 1651 ref appTerm appTerm 2427 ref 86 ref appTerm 14537 def appTerm refl appThm trans 14531 remove 2980 ref appThm eqMp sym 651 ref 1706 ref 1404 remove subst appThm 1706 remove 1696 remove subst 14538 def appThm 14538 ref trans sym 100 ref eqMp eqMp eqMp nil 2981 ref 14533 remove cons nil cons cons 123 ref subst deductAntisym eqMp 2983 ref nil 2981 ref 2984 ref 1422 ref 14521 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp 14539 def subst eqMp eqMp eqMp 509 ref 659 ref 14515 ref nil cons cons 302 ref 12203 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp nil 59 ref 1109 ref 14515 remove appTerm 14540 def nil cons cons 60 ref 1109 ref 12297 ref 416 ref 302 ref 64 ref 14514 remove appTerm 14541 def 12300 remove appTerm absTerm appTerm 14542 def absTerm 14543 def appTerm 14544 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 14543 ref 12200 ref 11971 ref appTerm 14545 def appTerm betaConv sym nil 659 ref 303 ref 64 ref 12307 ref appTerm 7664 remove 14545 ref appTerm 14546 def appTerm 14547 def absTerm nil cons cons nil cons nil cons cons 679 ref subst 303 ref nil 94 ref 14547 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 12307 remove nil cons 14548 def cons 14549 def 60 ref 14546 remove nil cons 14550 def cons nil cons 14551 def cons nil cons cons 14552 def 81 ref subst 14552 remove 152 ref subst nil 14549 remove 60 ref 12059 ref 11971 ref appTerm 14553 def nil cons 14554 def cons nil cons cons nil cons cons 132 ref subst nil 12251 remove nil cons cons 11973 ref 3636 ref appTerm 14555 def betaConv nil 12019 remove 60 ref 14555 remove nil cons cons nil cons cons nil cons cons 132 ref subst 3623 ref 3622 ref 11973 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp 14556 def subst eqMp nil 59 ref 14554 ref cons 14551 remove cons nil cons cons 132 ref subst proveHyp 64 ref 14553 ref appTerm 14557 def refl nil 303 ref 14545 ref nil cons 14558 def cons 3415 ref cons nil cons cons 12250 ref subst appThm sym 12059 ref refl 3999 ref 70 ref 8180 ref appTerm 14559 def 7656 ref 11971 ref appTerm appTerm absTerm 14560 def 3636 ref appTerm betaConv sym 652 ref nil 94 ref 12045 remove cons nil cons nil cons cons 101 ref subst 8243 remove assume eqMp appThm 14561 def 11972 ref refl 14562 def appThm nil 94 ref 11972 ref nil cons 14563 def cons nil cons nil cons cons 874 ref subst trans sym nil 12007 ref 60 ref 14563 remove cons nil cons cons nil cons cons 132 ref subst 14556 ref eqMp eqMp eqMp 3623 ref 3622 ref 14560 ref nil cons cons 12242 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 3641 ref 14560 remove appTerm nil cons cons 60 ref 8175 ref 11971 ref appTerm nil cons 14564 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4144 ref 11971 ref nil cons 14565 def cons 14566 def 3635 ref 4215 ref nil cons 14567 def cons nil cons 14568 def cons nil cons cons 4144 ref 64 ref 3641 ref 3999 ref 7807 ref absTerm 14569 def appTerm 14570 def appTerm 14571 def 7808 ref appTerm 14572 def absTerm 14573 def 4145 ref appTerm 14574 def betaConv 3635 ref 574 ref 14573 ref appTerm 14575 def absTerm 14576 def 3636 ref appTerm 14577 def betaConv 7806 remove nil 59 ref 7814 ref nil cons 14578 def cons 14579 def 60 ref 574 ref 14576 ref appTerm nil cons 14580 def cons nil cons cons nil cons cons 14581 def 132 ref subst proveHyp 14581 ref 81 ref subst 14581 remove 152 ref subst nil 3622 ref 14576 remove nil cons cons 14582 def nil cons nil cons cons 3625 ref subst 3635 ref nil 94 ref 14575 remove nil cons 14583 def cons nil cons nil cons cons 101 ref subst nil 3622 ref 14573 remove nil cons cons 14584 def nil cons nil cons cons 3625 ref subst 4144 ref nil 94 ref 14572 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14570 remove nil cons 14585 def cons 14586 def 60 ref 7808 ref nil cons 14587 def cons nil cons 14588 def cons nil cons cons 14589 def 81 ref subst 14589 remove 152 ref subst nil 14579 ref 14588 ref cons nil cons cons 14590 def 132 ref subst nil 14586 remove 60 ref 64 ref 7814 remove appTerm 7808 remove appTerm 14591 def nil cons 14592 def cons nil cons 14593 def cons nil cons cons 132 ref subst nil 3622 ref 3999 ref 64 ref 14569 ref 4000 ref appTerm 14594 def appTerm 14591 ref appTerm 14595 def absTerm nil cons cons nil cons nil cons cons 3625 ref subst 3999 ref nil 94 ref 14595 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14594 ref nil cons 14596 def cons 14593 ref cons nil cons cons 14597 def 81 ref subst 14597 remove 152 ref subst 14594 ref betaConv 14594 remove assume eqMp nil 59 ref 7807 remove nil cons 14598 def cons 14599 def 14593 remove cons nil cons cons 14600 def 132 ref subst proveHyp 14600 ref 81 ref subst 14600 remove 152 ref subst 14590 ref 81 ref subst 14590 remove 152 ref subst nil 14599 remove 14588 remove cons nil cons cons 132 ref subst 7809 ref 4145 ref appTerm 14601 def betaConv 7811 ref 4000 ref appTerm 14602 def betaConv 7805 remove nil 14579 remove 60 ref 7813 ref 3636 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst 3623 ref 3622 ref 7813 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7812 remove nil cons cons 60 ref 14602 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 7811 remove nil cons cons 12258 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 7810 remove nil cons cons 60 ref 14601 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 7809 remove nil cons cons 3635 ref 4145 ref nil cons cons nil cons 14603 def cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp nil 107 ref 14578 remove cons 14604 def 109 ref 14587 remove cons nil cons 14605 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 14598 remove cons 109 ref 14592 remove cons nil cons 14606 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 14596 remove cons 14606 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 574 ref "x'" 394 ref var 14607 def 64 ref 14569 ref 14607 ref varTerm 14608 def appTerm appTerm 14591 ref appTerm absTerm appTerm nil cons cons 60 ref 14571 remove 14591 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14569 remove nil cons cons 14606 remove cons nil cons cons 1090 ref subst eqMp eqMp eqMp eqMp nil 107 ref 14585 remove cons 14605 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 14604 remove 109 ref 14580 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 14580 remove cons 60 ref 14577 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 14582 remove 12242 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14583 remove cons 60 ref 14574 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 14584 remove 14603 ref cons nil cons cons 163 ref subst eqMp eqMp 14609 def subst eqMp nil 59 ref 14564 remove cons 60 ref 398 ref 12051 ref 14545 remove appTerm 14610 def appTerm 11971 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 3635 ref 14565 ref cons nil cons nil cons cons 14520 ref subst eqMp appThm nil 59 ref 63 ref 12059 remove 14610 remove appTerm 14611 def appTerm 14553 remove appTerm nil cons cons 60 ref 14557 remove 14611 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 1642 ref 14611 remove nil cons cons 1648 ref 14554 remove cons nil cons cons nil cons cons 14539 ref subst eqMp eqMp eqMp eqMp nil 107 ref 14548 remove cons 109 ref 14550 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 509 ref 659 ref 14543 remove nil cons cons 302 ref 14558 remove cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 59 ref 70 ref 14540 remove appTerm 14544 remove appTerm 14612 def nil cons 14613 def cons 60 ref 64 ref 64 ref 14612 remove appTerm 14614 def 1109 remove 12297 remove 70 ref 14542 remove appTerm 416 ref 12302 ref 64 ref 416 ref 302 ref 14541 ref 12304 remove appTerm absTerm appTerm appTerm 14615 def 12305 remove appTerm absTerm appTerm appTerm absTerm 14616 def appTerm 14617 def appTerm appTerm 11986 ref appTerm 14618 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 659 ref "B" 285 remove var 14619 def 64 ref 14616 ref 14619 ref varTerm 14620 def appTerm 14621 def appTerm 11986 ref appTerm 14622 def absTerm nil cons cons nil cons nil cons cons 679 remove subst 14619 remove nil 94 ref 14622 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14621 ref nil cons 14623 def cons 11995 ref cons nil cons cons 14624 def 81 ref subst 14624 remove 152 ref subst 14621 ref betaConv 14621 remove assume eqMp nil 59 ref 70 ref 416 ref 302 ref 14541 ref 6893 ref 14620 ref appTerm appTerm absTerm 14625 def appTerm 14626 def appTerm 416 ref 12302 ref 14615 remove 6778 ref 14620 ref appTerm 14627 def 12303 ref appTerm appTerm absTerm 14628 def appTerm 14629 def appTerm nil cons 14630 def cons 11995 ref cons nil cons cons 14631 def 132 ref subst proveHyp 14631 ref 81 ref subst 14631 remove 152 ref subst nil 107 ref 14626 remove nil cons 14632 def cons 109 ref 14629 remove nil cons 14633 def cons nil cons cons nil cons cons 14634 def 123 ref subst 14634 remove 687 ref subst 11985 ref 12051 ref 14620 ref appTerm 14635 def appTerm betaConv sym nil 3622 ref 4144 ref 64 ref 3633 ref 4145 ref appTerm 14636 def appTerm 14637 def 6793 ref 4145 ref appTerm 14638 def 14635 ref appTerm 14639 def appTerm 14640 def absTerm nil cons cons nil cons nil cons cons 3625 ref subst 4144 ref nil 94 ref 14640 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14636 ref nil cons 14641 def cons 14642 def 60 ref 14639 remove nil cons 14643 def cons nil cons 14644 def cons nil cons cons 14645 def 81 ref subst 14645 remove 152 ref subst nil 59 ref 14638 ref 4215 ref appTerm 14646 def nil cons 14647 def cons 14644 ref cons nil cons cons 14648 def 81 ref subst 14648 remove 152 ref subst 3999 ref 70 ref 14638 ref 4000 ref appTerm appTerm 7656 ref 14635 ref appTerm appTerm absTerm 14649 def 4215 ref appTerm betaConv sym 652 ref nil 94 ref 14647 ref cons nil cons nil cons cons 101 ref subst 14646 remove assume eqMp appThm nil 302 ref 14620 ref nil cons 14650 def cons nil cons 14651 def nil cons cons nil 94 ref 12208 remove nil cons cons nil cons nil cons cons 101 ref subst 12209 ref 328 ref appTerm 14652 def betaConv nil 59 ref 12295 remove cons 60 ref 14652 remove nil cons cons nil cons cons nil cons cons 132 ref subst 509 ref 659 ref 12209 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp subst appThm 875 ref trans sym 100 ref eqMp eqMp 3623 ref 3622 ref 14649 ref nil cons cons 14568 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 3641 ref 14649 remove appTerm nil cons cons 14644 ref cons nil cons cons 132 ref subst proveHyp nil 4144 ref 14635 ref nil cons 14653 def cons 14603 ref cons nil cons cons 14609 ref subst eqMp eqMp nil 107 ref 14647 ref cons 109 ref 14643 ref cons nil cons 14654 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 8175 ref 4145 ref appTerm nil cons 14655 def cons 14656 def 14644 remove cons nil cons cons 14657 def 81 ref subst 14657 remove 152 ref subst 63 ref "_17293" 394 ref var 14658 def 6793 ref 14658 remove varTerm appTerm 14635 ref appTerm absTerm 14659 def 4145 ref appTerm 14660 def appTerm refl 14659 ref 12051 ref 12200 ref 4145 ref appTerm 14661 def appTerm 14662 def appTerm betaConv appThm 111 ref 14660 remove betaConv appThm 6793 ref 14662 ref appTerm 14635 ref appTerm refl appThm trans 14659 remove refl nil 14656 remove 60 ref 398 ref 14662 ref appTerm 4145 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 14603 ref nil cons cons 14663 def 14520 ref subst eqMp 14664 def sym appThm eqMp sym nil 303 ref 14650 remove cons 302 ref 14661 ref nil cons cons nil cons 14665 def cons nil cons cons 303 ref 63 ref 12212 remove appTerm 6917 remove appTerm 14666 def absTerm 14667 def 331 remove appTerm 14668 def betaConv 302 ref 416 ref 14667 ref appTerm 14669 def absTerm 14670 def 328 ref appTerm 14671 def betaConv 417 ref 302 ref 417 ref 303 ref 14666 remove assume sym 12213 remove assume sym deductAntisym absThm appThm absThm appThm 12065 remove assume eqMp nil 59 ref 416 ref 14670 ref appTerm nil cons cons 60 ref 14671 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 14670 remove nil cons cons 3413 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14669 remove nil cons cons 60 ref 14668 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 509 ref 659 ref 14667 remove nil cons cons 3415 remove cons nil cons cons 163 ref subst eqMp eqMp subst sym nil 14642 remove 60 ref 3633 ref 14662 remove appTerm 14672 def nil cons 14673 def cons nil cons cons nil cons cons 132 ref subst 14518 ref 14664 remove appThm nil 59 ref 63 ref 14672 ref appTerm 14636 remove appTerm nil cons cons 60 ref 14637 remove 14672 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 1642 ref 14673 ref cons 1648 ref 14641 ref cons nil cons cons nil cons cons 14539 remove subst eqMp eqMp nil 59 ref 14673 remove cons 60 ref 6778 remove 14661 remove appTerm 14620 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 14665 remove nil cons cons 14625 ref 328 ref appTerm 14674 def betaConv nil 59 ref 14632 remove cons 60 ref 14674 remove nil cons cons nil cons cons nil cons cons 132 ref subst 509 ref 659 ref 14625 remove nil cons cons 3413 remove cons nil cons cons 163 ref subst eqMp eqMp subst eqMp eqMp eqMp eqMp nil 107 ref 14655 remove cons 14675 def 14654 ref cons nil cons cons 123 ref subst deductAntisym eqMp 3999 ref 1337 remove 8180 remove appTerm 7656 ref 4215 ref appTerm appTerm absTerm 14676 def 4145 ref appTerm 14677 def betaConv 8137 ref 4215 ref appTerm 14678 def betaConv 8136 remove nil 59 ref 8138 remove nil cons cons 60 ref 14678 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 8137 remove nil cons cons 14568 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 574 ref 14676 ref appTerm nil cons cons 60 ref 14677 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14676 remove nil cons cons 14603 ref cons nil cons cons 163 ref subst eqMp eqMp nil 14675 remove 109 ref 14647 remove cons 1422 ref 14643 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp nil 107 ref 14641 remove cons 14654 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 574 ref 3635 ref 11970 ref 7643 ref 14635 ref appTerm appTerm absTerm appTerm nil cons cons 60 ref 574 ref 11978 ref 11983 ref 6793 ref 14635 remove appTerm 14679 def 11979 ref appTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 3622 ref "c" 394 ref var 14680 def 64 ref 574 ref 3635 ref 11970 remove 7643 remove 14680 ref varTerm 14681 def appTerm 14682 def appTerm 14683 def absTerm 14684 def appTerm 14685 def appTerm 14679 ref 14681 ref appTerm 14686 def appTerm 14687 def absTerm nil cons cons nil cons nil cons cons 3625 ref subst 14680 remove nil 94 ref 14687 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14685 remove nil cons 14688 def cons 14689 def 60 ref 14686 ref nil cons 14690 def cons nil cons 14691 def cons nil cons cons 14692 def 81 ref subst 14692 remove 152 ref subst 417 ref 302 ref 14541 ref refl 14693 def nil 303 remove 12200 remove 14681 ref appTerm 14694 def nil cons 14695 def cons 14696 def nil cons nil cons cons 12250 ref subst appThm absThm appThm sym 3999 ref 14559 remove 7656 remove 14681 ref appTerm appTerm absTerm 14697 def 3636 ref appTerm betaConv sym 14561 remove 14682 ref refl appThm nil 94 ref 14682 remove nil cons 14698 def cons nil cons nil cons cons 874 remove subst trans sym nil 12007 remove 60 ref 14698 remove cons nil cons cons nil cons cons 132 ref subst 14684 ref 3636 ref appTerm 14699 def betaConv nil 14689 remove 60 ref 14699 remove nil cons cons nil cons cons nil cons cons 132 ref subst 3623 ref 3622 ref 14684 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp 14700 def eqMp eqMp eqMp 3623 ref 3622 ref 14697 ref nil cons cons 12242 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 3641 ref 14697 remove appTerm nil cons cons 60 ref 8175 ref 14681 ref appTerm nil cons 14701 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4144 ref 14681 ref nil cons 14702 def cons 14568 ref cons nil cons cons 14609 remove subst eqMp nil 59 ref 14701 remove cons 60 ref 398 ref 12051 remove 14694 ref appTerm 14703 def appTerm 14681 remove appTerm 14704 def nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 3635 ref 14702 remove cons nil cons nil cons cons 14520 remove subst eqMp 14705 def 417 remove 302 ref 14693 remove 12211 remove refl 14704 remove assume appThm appThm 12244 remove nil 94 ref 14683 remove nil cons cons nil cons nil cons cons 101 ref subst 14700 remove eqMp subst trans absThm appThm 554 remove trans sym 100 ref eqMp proveHyp eqMp nil 59 ref 416 ref 302 ref 14541 remove 6893 remove 14694 ref appTerm appTerm absTerm appTerm nil cons cons 60 ref 14627 remove 14694 remove appTerm nil cons 14706 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 12302 remove 14695 remove cons nil cons nil cons cons 14628 ref 12303 ref appTerm 14707 def betaConv nil 59 ref 14633 remove cons 60 ref 14707 remove nil cons cons nil cons cons nil cons cons 132 ref subst 509 ref 659 ref 14628 remove nil cons cons 302 ref 12303 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 14706 remove cons 14691 remove cons nil cons cons 132 ref subst 651 ref nil 14696 remove 14651 remove cons nil cons cons 12250 remove subst appThm 14686 ref refl appThm sym 14679 ref refl 14705 remove appThm nil 59 ref 63 ref 14679 remove 14703 remove appTerm 14708 def appTerm 14686 ref appTerm nil cons cons 60 ref 64 ref 14708 ref appTerm 14686 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 1642 ref 14690 ref cons 1648 ref 14708 remove nil cons cons nil cons cons nil cons cons 9619 ref subst eqMp eqMp eqMp proveHyp eqMp nil 107 ref 14688 remove cons 109 ref 14690 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 3623 ref 3622 ref 11985 ref nil cons cons 14709 def 3635 ref 14653 remove cons nil cons cons nil cons cons 279 ref subst proveHyp proveHyp proveHyp eqMp nil 107 ref 14630 remove cons 109 ref 11994 ref cons nil cons 14710 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 14623 remove cons 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 416 remove 302 remove 64 ref 14616 ref 328 remove appTerm appTerm 11986 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 14617 ref appTerm 11986 ref appTerm nil cons 14711 def cons nil cons cons nil cons cons 132 ref subst proveHyp 509 remove 659 remove 14616 remove nil cons cons 14710 ref cons nil cons cons 1090 ref subst eqMp nil 59 ref 14711 remove cons 60 ref 14614 remove 14618 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 2914 remove 11994 remove cons 14712 def 1642 ref 14617 remove nil cons cons 1648 ref 14613 remove cons nil cons cons cons nil cons cons nil 2955 remove 60 ref 64 ref 2919 remove 2917 ref appTerm appTerm 2427 ref 64 ref 2428 remove appTerm 2917 ref appTerm appTerm appTerm nil cons 14713 def cons nil cons 14714 def cons nil cons cons 14715 def 81 ref subst 14715 remove 152 ref subst 63 ref "_17275" 16 ref var 14716 def 64 ref 64 ref 14716 remove varTerm 14717 def appTerm 2917 ref appTerm appTerm 2427 ref 64 ref 2427 ref 14717 remove appTerm appTerm 2917 ref appTerm appTerm appTerm absTerm 14718 def 1657 remove appTerm 14719 def appTerm refl 14720 def 14718 ref 1241 ref appTerm betaConv appThm 111 ref 14719 remove betaConv appThm 14721 def 64 ref 1849 ref 2917 ref appTerm appTerm 2427 ref 64 ref 14530 ref appTerm 2917 ref appTerm appTerm appTerm refl appThm trans 14718 remove refl 14722 def 2967 remove appThm eqMp sym 651 ref 2969 ref 2444 ref subst 14723 def appThm 2427 ref refl 14724 def 651 ref 14532 remove appThm 8030 ref appThm appThm appThm nil 94 ref 2427 ref 4735 remove 2917 ref appTerm appTerm nil cons 14725 def cons nil cons nil cons cons 2457 ref subst trans sym nil 1655 remove 60 ref 14725 ref cons nil cons 14726 def cons nil cons cons 14727 def 81 ref subst 14727 remove 152 ref subst 63 ref "_17283" 16 ref var 14728 def 64 ref 14728 remove varTerm 14729 def appTerm 64 ref 1237 ref 14729 remove appTerm appTerm 2917 ref appTerm appTerm absTerm 14730 def 1651 remove appTerm 14731 def appTerm refl 14732 def 14730 ref 1241 ref appTerm betaConv appThm 111 ref 14731 remove betaConv appThm 14733 def 1849 ref 4745 remove 2917 ref appTerm 14734 def appTerm refl appThm trans 14730 remove refl 14735 def 1672 remove appThm eqMp sym nil 94 ref 14734 remove nil cons cons nil cons nil cons cons 2444 ref subst sym 100 ref eqMp eqMp eqMp nil 1682 remove 109 ref 14725 ref cons nil cons 14736 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 1686 remove 14726 remove cons nil cons cons 14737 def 81 ref subst 14737 remove 152 ref subst 14732 remove "_17281" 16 ref var 14738 def 64 ref 14738 remove varTerm 14739 def appTerm 64 ref 1237 ref 14739 remove appTerm appTerm 2917 ref appTerm appTerm absTerm 86 ref appTerm betaConv appThm 14733 remove 2452 ref 4751 remove 2917 ref appTerm 14740 def appTerm refl appThm trans 14735 remove 1691 remove appThm eqMp sym nil 94 ref 14740 remove nil cons cons nil cons nil cons cons 2457 ref subst 4752 remove 8030 ref appThm 14723 remove trans trans sym 100 ref eqMp eqMp eqMp nil 1699 ref 14736 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1703 remove nil 1699 remove 1704 remove 1422 ref 14725 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 2971 remove 109 ref 14713 ref cons nil cons 14741 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 2975 remove 14714 remove cons nil cons cons 14742 def 81 ref subst 14742 remove 152 ref subst 14720 remove "_17273" 16 ref var 14743 def 64 ref 64 ref 14743 remove varTerm 14744 def appTerm 2917 ref appTerm appTerm 2427 ref 64 ref 2427 ref 14744 remove appTerm appTerm 2917 ref appTerm appTerm appTerm absTerm 86 ref appTerm betaConv appThm 14721 remove 64 ref 2452 ref 2917 ref appTerm appTerm 2427 ref 64 ref 14537 ref appTerm 2917 ref appTerm appTerm appTerm refl appThm trans 14722 remove 2980 remove appThm eqMp sym 651 ref 2969 remove 2457 ref subst 14745 def appThm 14724 remove 651 ref 14538 ref appThm 8030 remove appThm 14745 remove trans appThm appThm sym nil 59 ref 63 ref 2917 ref appTerm 14746 def 1241 ref appTerm 14747 def nil cons 14748 def cons 60 ref 8545 remove 2427 ref 2917 ref appTerm appTerm nil cons 14749 def cons nil cons 14750 def cons nil cons cons 14751 def 81 ref subst 14751 remove 152 ref subst 63 ref "_17279" 16 ref var 14752 def 64 ref 14752 remove varTerm 14753 def appTerm 2427 ref 14753 remove appTerm appTerm absTerm 14754 def 2917 ref appTerm 14755 def appTerm refl 14756 def 14754 ref 1241 ref appTerm betaConv appThm 111 ref 14755 remove betaConv appThm 14757 def 1849 remove 14530 ref appTerm refl appThm trans 14754 remove refl 14758 def 14747 remove assume appThm eqMp sym nil 94 ref 14530 remove nil cons cons nil cons nil cons cons 2444 remove subst sym 100 ref eqMp eqMp eqMp nil 107 ref 14748 ref cons 109 ref 14749 ref cons nil cons 14759 def cons nil cons cons 123 ref subst deductAntisym eqMp nil 59 ref 14746 remove 86 ref appTerm 14760 def nil cons 14761 def cons 14750 remove cons nil cons cons 14762 def 81 ref subst 14762 remove 152 ref subst 14756 remove "_17277" 16 remove var 14763 def 64 ref 14763 remove varTerm 14764 def appTerm 2427 remove 14764 remove appTerm appTerm absTerm 86 remove appTerm betaConv appThm 14757 remove 2452 remove 14537 ref appTerm refl appThm trans 14758 remove 14760 remove assume appThm eqMp sym nil 94 ref 14537 remove nil cons cons nil cons nil cons cons 2457 remove subst 14538 remove trans sym 100 ref eqMp eqMp eqMp nil 107 ref 14761 remove cons 14765 def 14759 remove cons nil cons cons 123 ref subst deductAntisym eqMp 1414 remove 2917 remove appTerm 14766 def betaConv 1417 remove nil 1418 remove 60 ref 14766 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 1419 remove 8559 remove cons nil cons cons 163 ref subst eqMp eqMp nil 14765 remove 109 ref 14748 remove cons 1422 ref 14749 remove cons nil cons cons cons nil cons cons 1437 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 2981 ref 14741 remove cons nil cons cons 123 ref subst deductAntisym eqMp 2983 remove nil 2981 remove 2984 remove 1422 remove 14713 remove cons nil cons cons cons nil cons cons 1437 remove subst proveHyp proveHyp proveHyp 14767 def subst eqMp eqMp proveHyp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 107 ref 12291 remove cons 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12289 remove cons 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 12281 remove 12192 remove 64 ref 12218 ref 12282 remove appTerm appTerm 11986 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12219 remove appTerm 11986 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 12188 remove 12190 remove 12218 remove nil cons cons 14710 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 12285 remove cons 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 0 ref 12198 remove constTerm 12279 ref 64 ref 12220 remove 12279 remove varTerm appTerm appTerm 11986 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 12221 remove appTerm 11986 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 12276 remove 12278 remove 14710 ref cons nil cons cons 1090 ref subst eqMp eqMp eqMp nil 107 ref 12018 remove cons 14710 ref cons nil cons cons 123 ref subst 14768 def deductAntisym eqMp eqMp eqMp nil 107 ref 12014 remove cons 14710 ref cons nil cons cons 123 ref subst 14769 def deductAntisym eqMp eqMp absThm eqMp nil 59 ref 574 ref 3635 ref 64 ref 11975 ref 3636 ref appTerm appTerm 11986 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 11976 remove appTerm 11986 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst 14770 def proveHyp 3623 ref 3622 ref 11975 remove nil cons cons 14710 ref cons nil cons cons 1090 ref subst 14771 def eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 12042 remove cons 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12040 remove cons 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 574 ref 12039 remove appTerm nil cons cons 60 ref 64 ref 12026 remove appTerm 11986 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 12025 remove nil cons cons 14710 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 12033 remove cons 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 3632 ref 12029 remove appTerm nil cons cons 60 ref 12031 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 4003 ref 12032 remove 4005 ref 12030 ref nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 64 ref 70 ref 3641 ref 14607 ref 70 ref 12030 remove 14608 ref appTerm 14772 def appTerm 8175 remove 14608 ref appTerm 14773 def appTerm absTerm appTerm appTerm 3641 ref 11969 ref 574 ref 14607 ref 64 ref 14772 ref appTerm 14774 def 6793 ref 14608 ref appTerm 14775 def 11971 ref appTerm 14776 def appTerm absTerm appTerm 14777 def absTerm appTerm appTerm appTerm 3641 ref 11969 ref 70 ref 14777 remove appTerm 574 ref 11978 ref 64 ref 574 ref 14607 ref 14774 remove 14775 ref 11979 ref appTerm 14778 def appTerm absTerm appTerm appTerm 11984 ref appTerm absTerm appTerm appTerm absTerm appTerm appTerm nil cons cons 11995 ref cons nil cons cons 132 ref subst proveHyp 651 ref 651 ref 652 ref 11932 ref 14607 ref 652 ref 14772 remove betaConv 14779 def appThm 14773 ref refl appThm absThm appThm appThm 11932 ref 11969 ref 3998 ref 14607 ref 651 ref 14779 remove appThm 14780 def 14776 ref refl appThm absThm appThm 14781 def absThm appThm appThm appThm 11932 ref 11969 ref 652 ref 14781 remove appThm 3998 ref 11978 ref 651 ref 3998 ref 14607 ref 14780 remove 14778 ref refl appThm absThm appThm appThm 11984 ref refl 14782 def appThm absThm appThm appThm absThm appThm appThm appThm 14513 remove appThm sym 14607 ref 70 ref 3633 ref 3679 ref 14608 ref appTerm 14783 def 3636 ref appTerm 14784 def appTerm 14785 def appTerm 14773 remove appTerm absTerm 14786 def 4215 ref appTerm betaConv sym 652 ref 14518 ref 4219 remove 4316 ref nil 59 ref 4318 remove nil cons cons 60 ref 4317 ref 3636 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 4317 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp 14787 def appThm nil 94 ref 12006 remove cons nil cons nil cons cons 101 ref subst 3637 remove assume eqMp trans appThm nil 14568 ref nil cons cons nil 94 ref 7644 remove nil cons cons nil cons nil cons cons 101 ref subst 7640 remove 7642 remove nil 59 ref 7646 remove nil cons cons 60 ref 7645 ref 3636 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 7645 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp subst appThm 875 remove trans sym 100 ref eqMp eqMp 3623 ref 3622 ref 14786 ref nil cons cons 14568 ref cons nil cons cons 279 ref subst proveHyp nil 59 ref 3641 ref 14786 remove appTerm 14788 def nil cons cons 60 ref 3641 ref 11969 ref 574 ref 14607 ref 64 ref 14785 ref appTerm 14789 def 14776 remove appTerm absTerm appTerm 14790 def absTerm 14791 def appTerm 14792 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 14791 ref 3679 ref 11971 ref appTerm 14793 def 4431 ref appTerm 14794 def appTerm betaConv sym nil 3622 ref 14607 ref 14789 ref 14775 ref 14794 ref appTerm 14795 def appTerm 14796 def absTerm nil cons cons nil cons nil cons cons 3625 ref subst 14607 ref nil 94 ref 14796 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14785 remove nil cons 14797 def cons 14798 def 60 ref 14795 ref nil cons 14799 def cons nil cons 14800 def cons nil cons cons 14801 def 81 ref subst 14801 remove 152 ref subst nil 14798 remove 60 ref 6793 ref 14784 ref appTerm 11971 ref appTerm nil cons 14802 def cons nil cons cons nil cons cons 132 ref subst nil 3635 ref 14784 ref nil cons 14803 def cons nil cons nil cons cons 14556 ref subst eqMp nil 59 ref 14802 ref cons 14804 def 14800 ref cons nil cons cons 14805 def 132 ref subst proveHyp 14805 ref 81 ref subst 14805 remove 152 ref subst "x''" 394 ref var 14806 def 6793 ref 3679 ref 14806 ref varTerm appTerm 14807 def 14784 ref appTerm appTerm 14807 ref 11971 ref appTerm 14808 def appTerm absTerm 14809 def 4431 ref appTerm 14810 def betaConv nil 14804 remove 60 ref 574 ref 14809 ref appTerm nil cons 14811 def cons nil cons cons nil cons cons 132 ref subst nil 14566 ref 3999 ref 14803 remove cons 14812 def nil cons cons nil cons cons 4144 ref 8148 remove 574 ref 3635 ref 8166 ref absTerm 14813 def appTerm 14814 def appTerm 14815 def absTerm 14816 def 4145 ref appTerm 14817 def betaConv 3999 ref 574 ref 14816 ref appTerm 14818 def absTerm 14819 def 4000 ref appTerm 14820 def betaConv 8165 remove nil 59 ref 8172 remove nil cons 14821 def cons 14822 def 60 ref 574 ref 14819 ref appTerm nil cons 14823 def cons nil cons cons nil cons cons 14824 def 132 ref subst proveHyp 14824 ref 81 ref subst 14824 remove 152 ref subst nil 3622 ref 14819 remove nil cons cons 14825 def nil cons nil cons cons 3625 ref subst 3999 ref nil 94 ref 14818 remove nil cons 14826 def cons nil cons nil cons cons 101 ref subst nil 3622 ref 14816 remove nil cons cons 14827 def nil cons nil cons cons 3625 ref subst 4144 ref nil 94 ref 14815 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 7803 remove nil cons 14828 def cons 14829 def 60 ref 14814 remove nil cons 14830 def cons nil cons cons nil cons cons 14831 def 81 ref subst 14831 remove 152 ref subst nil 3622 ref 14813 remove nil cons cons nil cons nil cons cons 3625 ref subst 3635 ref nil 94 ref 8166 remove nil cons 14832 def cons nil cons nil cons cons 101 ref subst nil 14829 remove 60 ref 14832 remove cons nil cons cons nil cons cons 132 ref subst 8167 ref 4145 ref appTerm 14833 def betaConv 8169 ref 4000 ref appTerm 14834 def betaConv 8151 remove nil 14822 remove 60 ref 8171 ref 3636 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst 3623 ref 3622 ref 8171 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8170 remove nil cons cons 60 ref 14834 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 8169 remove nil cons cons 12258 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 8168 remove nil cons cons 60 ref 14833 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 8167 remove nil cons cons 14603 ref cons nil cons cons 163 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 107 ref 14828 remove cons 109 ref 14830 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 107 ref 14821 remove cons 109 ref 14823 ref cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 59 ref 14823 remove cons 60 ref 14820 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 14825 remove 12258 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14826 remove cons 60 ref 14817 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 14827 remove 14603 ref cons nil cons cons 163 ref subst eqMp eqMp 14835 def subst eqMp nil 59 ref 14811 remove cons 60 ref 14810 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14809 remove nil cons cons 3635 ref 4431 ref nil cons 14836 def cons nil cons 14837 def cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6793 ref 4432 ref 14784 ref appTerm appTerm 4432 ref 11971 ref appTerm appTerm 14838 def nil cons 14839 def cons 14800 ref cons nil cons cons 14840 def 132 ref subst proveHyp 14840 ref 81 ref subst 14840 remove 152 ref subst 8140 ref nil 14812 remove 14837 ref cons nil cons cons 4124 ref 4000 ref appTerm 14841 def betaConv 4011 remove 4120 remove nil 59 ref 4127 remove nil cons cons 60 ref 4126 ref 3636 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 4126 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 4125 remove nil cons cons 60 ref 14841 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 4124 remove nil cons cons 12258 ref cons nil cons cons 163 ref subst eqMp eqMp 14842 def subst appThm nil 3999 ref 14565 remove cons 14843 def 14837 ref cons nil cons cons 14842 ref subst appThm 14838 remove assume eqMp nil 59 ref 6793 ref 3679 ref 14784 remove appTerm 4431 ref appTerm appTerm 14794 ref appTerm nil cons cons 14800 remove cons nil cons cons 132 ref subst proveHyp 651 ref 8140 ref nil 4144 ref 14836 ref cons 14844 def 3999 ref 11867 ref cons 14845 def 3635 ref 14608 ref nil cons 14846 def cons nil cons 14847 def cons 14848 def cons nil cons cons 4144 ref 398 ref 4173 remove appTerm 4172 remove appTerm 14849 def absTerm 14850 def 4145 ref appTerm 14851 def betaConv 3999 ref 574 ref 14850 ref appTerm 14852 def absTerm 14853 def 4000 ref appTerm 14854 def betaConv 3635 ref 574 ref 14853 ref appTerm 14855 def absTerm 14856 def 3636 ref appTerm 14857 def betaConv 3998 ref 3635 ref 3998 ref 3999 ref 3998 ref 4144 ref 14849 remove assume sym 4174 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 4171 remove eqMp nil 59 ref 574 ref 14856 ref appTerm nil cons cons 60 ref 14857 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14856 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14855 remove nil cons cons 60 ref 14854 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14853 remove nil cons cons 12258 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 14852 remove nil cons cons 60 ref 14851 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14850 remove nil cons cons 14603 ref cons nil cons cons 163 ref subst eqMp eqMp 14858 def subst appThm 14794 ref refl 14859 def appThm appThm 14795 remove refl 14860 def appThm sym 651 ref 8140 ref 14783 ref refl 14861 def 3635 ref 398 ref 4121 ref 4431 ref appTerm appTerm 4215 ref appTerm absTerm 14862 def 3636 ref appTerm 14863 def betaConv 3998 ref 3635 ref 3626 ref nil 14845 ref 14837 ref cons nil cons cons 14842 ref subst appThm 4215 ref refl appThm absThm appThm 4430 ref eqMp nil 59 ref 574 ref 14862 ref appTerm nil cons cons 60 ref 14863 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14862 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp 14864 def appThm appThm 14859 ref appThm appThm 14860 ref appThm sym 651 ref 8140 ref nil 14847 ref nil cons cons 3635 ref 398 remove 4121 ref 4215 remove appTerm appTerm 3636 ref appTerm absTerm 14865 def 3636 ref appTerm 14866 def betaConv 3998 ref 3635 ref 3626 ref nil 14845 ref 14568 remove cons nil cons cons 14842 ref subst appThm 8301 ref appThm absThm appThm 4316 remove eqMp nil 59 ref 574 ref 14865 ref appTerm nil cons cons 60 ref 14866 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14865 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp 14867 def subst appThm 14868 def 14859 remove appThm appThm 14860 remove appThm nil 94 ref 14799 ref cons nil cons nil cons cons 2485 remove subst trans sym 100 ref eqMp eqMp eqMp eqMp eqMp nil 107 ref 14839 remove cons 109 ref 14799 remove cons nil cons 14869 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 14802 remove cons 14869 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 14797 remove cons 14869 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 3623 ref 3622 ref 14791 remove nil cons cons 3635 ref 14794 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 59 ref 70 ref 14788 remove appTerm 14792 remove appTerm 14870 def nil cons 14871 def cons 60 ref 64 ref 64 ref 14870 remove appTerm 14872 def 3641 ref 11969 ref 70 ref 14790 remove appTerm 574 ref 11978 ref 64 ref 574 ref 14607 ref 14789 ref 14778 remove appTerm absTerm appTerm appTerm 14873 def 11984 ref appTerm absTerm appTerm appTerm absTerm 14874 def appTerm 14875 def appTerm appTerm 11986 ref appTerm 14876 def nil cons cons nil cons cons nil cons cons 132 ref subst nil 3622 ref "B" 394 remove var 14877 def 64 ref 14874 ref 14877 ref varTerm 14878 def appTerm 14879 def appTerm 11986 ref appTerm 14880 def absTerm nil cons cons nil cons nil cons cons 3625 ref subst 14877 remove nil 94 ref 14880 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14879 ref nil cons 14881 def cons 11995 ref cons nil cons cons 14882 def 81 ref subst 14882 remove 152 ref subst 14879 ref betaConv 14879 remove assume eqMp nil 59 ref 70 ref 574 ref 14607 ref 14789 ref 14775 ref 14878 ref appTerm appTerm absTerm 14883 def appTerm 14884 def appTerm 574 ref 11978 ref 14873 remove 6793 ref 14878 ref appTerm 14885 def 11979 ref appTerm appTerm absTerm 14886 def appTerm 14887 def appTerm nil cons 14888 def cons 11995 remove cons nil cons cons 14889 def 132 ref subst proveHyp 14889 ref 81 ref subst 14889 remove 152 ref subst nil 107 ref 14884 remove nil cons 14890 def cons 109 ref 14887 remove nil cons 14891 def cons nil cons cons nil cons cons 14892 def 123 ref subst 14892 remove 687 ref subst 11985 remove 3679 ref 14878 ref appTerm 3636 ref appTerm 14893 def appTerm betaConv sym nil 3622 ref 14607 ref 64 ref 3633 ref 14608 ref appTerm appTerm 14775 ref 14893 ref appTerm 14894 def appTerm 14895 def absTerm 14896 def nil cons cons nil cons nil cons cons 3625 ref subst 14607 ref nil 94 ref 14895 remove nil cons cons nil cons nil cons cons 101 ref subst 651 ref 14518 remove nil 3999 ref 14846 remove cons nil cons nil cons cons 11856 remove refl 14897 def 4136 ref nil 14845 ref 12258 ref cons nil cons cons nil 11672 remove 11867 ref cons 11673 remove 11868 remove cons nil cons cons nil cons cons 11684 remove subst 14898 def subst appThm 8301 ref appThm nil 4144 ref 11867 remove cons 14899 def 3999 ref 14836 remove cons 14900 def 12258 ref cons cons nil cons cons 14858 ref subst 4009 remove refl 4419 remove 4430 remove nil 59 ref 4434 remove nil cons cons 60 ref 4433 ref 3636 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 4433 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp 14901 def appThm trans trans appThm sym 14897 ref nil 3999 ref 14567 remove cons 12258 ref cons nil cons cons 14842 ref subst appThm sym 14897 remove nil 12258 ref nil cons cons 14902 def 14787 remove subst appThm 14902 remove 3624 ref 549 remove subst subst trans sym 100 ref eqMp eqMp eqMp subst appThm appThm 14894 ref refl appThm sym nil 59 ref 3633 ref 3679 ref 11680 ref 14608 ref appTerm 3636 ref appTerm 14903 def appTerm 3636 ref appTerm 14904 def appTerm nil cons 14905 def cons 14906 def 60 ref 14894 ref nil cons 14907 def cons nil cons 14908 def cons nil cons cons 14909 def 81 ref subst 14909 remove 152 ref subst 14806 ref 6793 ref 14807 ref 14903 ref appTerm appTerm 14807 ref 14878 ref appTerm appTerm absTerm 14910 def 3636 ref appTerm 14911 def betaConv nil 14906 ref 60 ref 6793 ref 14903 ref appTerm 14878 ref appTerm nil cons 14912 def cons nil cons cons nil cons cons 132 ref subst nil 14607 ref 14903 ref nil cons 14913 def cons nil cons nil cons cons 14883 ref 14608 ref appTerm 14914 def betaConv nil 59 ref 14890 remove cons 60 ref 14914 remove nil cons cons nil cons cons nil cons cons 132 ref subst 3623 ref 3622 ref 14883 remove nil cons cons 14847 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp nil 59 ref 14912 remove cons 60 ref 574 ref 14910 ref appTerm nil cons 14915 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 4144 ref 14878 ref nil cons 14916 def cons 3999 ref 14913 ref cons nil cons 14917 def cons nil cons cons 14835 ref subst eqMp nil 59 ref 14915 remove cons 60 ref 14911 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14910 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6793 ref 4121 ref 14903 remove appTerm appTerm 4121 ref 14878 ref appTerm 14918 def appTerm 14919 def nil cons cons 14908 remove cons nil cons cons 132 ref subst proveHyp 14806 remove 6793 ref 14807 remove 14904 ref appTerm appTerm 14808 remove appTerm absTerm 14920 def 3636 ref appTerm 14921 def betaConv nil 14906 remove 60 ref 6793 ref 14904 ref appTerm 11971 ref appTerm nil cons 14922 def cons nil cons cons nil cons cons 132 ref subst nil 3635 ref 14904 ref nil cons 14923 def cons nil cons nil cons cons 14556 remove subst eqMp nil 59 ref 14922 remove cons 60 ref 574 ref 14920 ref appTerm nil cons 14924 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 14566 remove 3999 ref 14923 remove cons nil cons 14925 def cons nil cons cons 14835 ref subst eqMp nil 59 ref 14924 remove cons 60 ref 14921 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14920 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6793 ref 4121 ref 14904 remove appTerm appTerm 4121 ref 11971 remove appTerm appTerm nil cons cons 60 ref 64 ref 14919 remove appTerm 14894 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 651 ref 8140 ref nil 14925 remove nil cons cons 14842 ref subst appThm nil 14843 remove nil cons nil cons cons 14842 ref subst appThm appThm 651 ref 8140 ref nil 14917 remove nil cons cons 14842 ref subst appThm nil 3999 ref 14916 ref cons nil cons 14926 def nil cons cons 14842 ref subst 14927 def appThm appThm 14775 ref refl nil 14845 ref 3635 ref 14916 remove cons nil cons cons nil cons cons 14842 ref subst appThm 14928 def appThm appThm sym 651 ref 8140 ref nil 14899 ref 14845 ref 3635 ref 14913 remove cons nil cons cons cons nil cons cons 14858 ref subst 4136 ref nil 14848 remove nil cons cons 14898 ref subst appThm 14929 def 4121 ref 3636 ref appTerm 14930 def refl appThm nil 4144 ref 14930 ref nil cons cons 14900 ref 14847 remove cons 14931 def cons nil cons cons 14858 ref subst trans trans appThm 14793 remove 3636 ref appTerm 14932 def refl appThm appThm 651 ref 8140 ref 14929 remove 8301 ref appThm nil 14899 ref 14931 remove cons nil cons cons 14858 ref subst 14861 remove 14901 ref appThm trans trans appThm 14893 ref refl 14933 def appThm appThm 14775 ref 14918 ref appTerm 14934 def refl 14935 def appThm appThm sym 64 ref 6793 ref 14783 ref 4432 ref 14930 remove appTerm appTerm appTerm 14932 remove appTerm 14936 def appTerm refl 651 ref 14868 remove 14933 remove appThm appThm 14935 remove appThm appThm sym nil 59 ref 14936 remove nil cons 14937 def cons 60 ref 64 ref 14894 ref appTerm 14934 ref appTerm nil cons 14938 def cons nil cons cons nil cons cons 14939 def 81 ref subst 14939 remove 152 ref subst nil 59 ref 14907 ref cons 60 ref 14934 remove nil cons 14940 def cons nil cons cons nil cons cons 14941 def 81 ref subst 14941 remove 152 ref subst 14928 remove 14894 remove assume eqMp eqMp nil 107 ref 14907 ref cons 109 ref 14940 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 14937 remove cons 109 ref 14938 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 107 ref 14905 remove cons 109 ref 14907 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp nil 59 ref 574 ref 14896 remove appTerm nil cons cons 60 ref 574 ref 11978 ref 11983 remove 6793 ref 14893 ref appTerm 11979 ref appTerm 14942 def appTerm 14943 def absTerm 14944 def appTerm nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp nil 3622 ref 14944 remove nil cons cons nil cons nil cons cons 3625 ref subst 11978 ref nil 94 ref 14943 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 11982 remove nil cons 14945 def cons 14946 def 60 ref 14942 ref nil cons 14947 def cons nil cons 14948 def cons nil cons cons 14949 def 81 ref subst 14949 remove 152 ref subst nil 3622 ref 4144 ref 64 ref 3633 remove 3679 ref 4145 ref appTerm 14950 def 3636 ref appTerm 14951 def appTerm 14952 def appTerm 14638 ref 11680 remove 11979 ref appTerm 3636 ref appTerm 14953 def appTerm 14954 def appTerm 14955 def absTerm nil cons cons nil cons nil cons cons 3625 ref subst 4144 ref nil 94 ref 14955 remove nil cons cons nil cons nil cons cons 101 ref subst nil 59 ref 14952 remove nil cons 14956 def cons 14957 def 60 ref 14954 ref nil cons 14958 def cons nil cons 14959 def cons nil cons cons 14960 def 81 ref subst 14960 remove 152 ref subst nil 14957 remove 60 ref 6793 ref 14951 ref appTerm 11979 ref appTerm nil cons 14961 def cons nil cons cons nil cons cons 132 ref subst nil 3635 ref 14951 ref nil cons 14962 def cons nil cons nil cons cons 11981 ref 3636 ref appTerm 14963 def betaConv nil 14946 remove 60 ref 14963 remove nil cons cons nil cons cons nil cons cons 132 ref subst 3623 ref 3622 ref 11981 remove nil cons cons 12242 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp 14607 ref 6793 ref 14783 ref 14951 ref appTerm appTerm 14783 ref 11979 ref appTerm appTerm absTerm 14964 def 4431 ref appTerm 14965 def betaConv nil 59 ref 14961 remove cons 60 ref 574 ref 14964 ref appTerm nil cons 14966 def cons nil cons cons nil cons cons 132 ref subst nil 4144 ref 11979 ref nil cons 14967 def cons 3999 ref 14962 remove cons 14968 def nil cons cons nil cons cons 14835 ref subst eqMp nil 59 ref 14966 remove cons 60 ref 14965 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14964 remove nil cons cons 14837 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6793 ref 4432 ref 14951 ref appTerm appTerm 4432 remove 11979 ref appTerm appTerm nil cons cons 14959 remove cons nil cons cons 132 ref subst proveHyp 651 ref 8140 ref nil 14968 remove 14837 ref cons nil cons cons 14842 ref subst appThm nil 3999 ref 14967 ref cons 14837 remove cons nil cons cons 14842 ref subst appThm appThm 14954 remove refl appThm sym 64 ref 6793 ref 3679 ref 14951 remove appTerm 4431 ref appTerm appTerm 3679 remove 11979 ref appTerm 14969 def 4431 remove appTerm 14970 def appTerm 14971 def appTerm 14972 def refl 14638 ref refl nil 14845 ref 3635 ref 14967 remove cons nil cons 14973 def cons nil cons cons 14898 remove subst 14974 def appThm appThm sym 8140 ref 3626 ref nil 14844 remove 14845 remove 14603 remove cons cons nil cons cons 14858 ref subst appThm 4145 ref refl 14975 def appThm sym 3626 ref 14950 remove refl 14864 remove appThm appThm 14975 remove appThm sym 14663 remove 14867 ref subst eqMp eqMp appThm 14970 ref refl appThm nil 59 ref 63 ref 14971 ref appTerm 14638 remove 14970 remove appTerm 14976 def appTerm nil cons cons 60 ref 14972 remove 14976 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 1642 ref 14976 remove nil cons cons 1648 ref 14971 remove nil cons cons nil cons cons nil cons cons 9619 ref subst eqMp eqMp eqMp eqMp proveHyp eqMp nil 107 ref 14956 remove cons 109 ref 14958 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 574 ref 14607 ref 14789 remove 14775 remove 14953 ref appTerm appTerm absTerm appTerm nil cons cons 60 ref 14885 remove 14953 ref appTerm nil cons 14977 def cons nil cons cons nil cons cons 132 ref subst proveHyp nil 11978 ref 14953 ref nil cons 14978 def cons nil cons nil cons cons 14886 ref 11979 ref appTerm 14979 def betaConv nil 59 ref 14891 remove cons 60 ref 14979 remove nil cons cons nil cons cons nil cons cons 132 ref subst 3623 ref 3622 ref 14886 remove nil cons cons 14973 ref cons nil cons cons 163 ref subst eqMp eqMp subst eqMp 14607 ref 6793 ref 14783 ref 14878 remove appTerm appTerm 14783 remove 14953 ref appTerm appTerm absTerm 14980 def 3636 ref appTerm 14981 def betaConv nil 59 ref 14977 remove cons 60 ref 574 ref 14980 ref appTerm nil cons 14982 def cons nil cons cons nil cons cons 132 ref subst nil 4144 ref 14978 ref cons 14926 remove cons nil cons cons 14835 remove subst eqMp nil 59 ref 14982 remove cons 60 ref 14981 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14980 remove nil cons cons 12242 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 6793 ref 14918 remove appTerm 4121 remove 14953 remove appTerm appTerm 14983 def nil cons 14984 def cons 14948 remove cons nil cons cons 132 ref subst proveHyp 8140 remove 14927 remove appThm 3626 ref nil 3999 ref 14978 remove cons nil cons nil cons cons 14842 remove subst appThm 11979 remove refl 14985 def appThm sym 3626 ref 4136 remove 14974 remove appThm 8301 remove appThm appThm 14985 ref appThm sym 3626 remove nil 14899 remove 14900 remove 14973 ref cons cons nil cons cons 14858 remove subst 14969 remove refl 14901 remove appThm trans appThm 14985 remove appThm sym nil 14973 remove nil cons cons 14867 remove subst eqMp eqMp eqMp appThm nil 59 ref 63 ref 14983 ref appTerm 14942 ref appTerm nil cons cons 60 ref 64 ref 14983 remove appTerm 14942 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 1642 ref 14947 ref cons 1648 ref 14984 remove cons nil cons cons nil cons cons 9619 remove subst eqMp eqMp proveHyp eqMp nil 107 ref 14945 remove cons 109 ref 14947 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 3623 ref 14709 remove 3635 ref 14893 remove nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp proveHyp proveHyp eqMp nil 107 ref 14888 remove cons 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 14881 remove cons 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 574 ref 14607 remove 64 ref 14874 ref 14608 remove appTerm appTerm 11986 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 14875 ref appTerm 11986 ref appTerm nil cons 14986 def cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 14874 remove nil cons cons 14710 ref cons nil cons cons 1090 ref subst eqMp nil 59 ref 14986 remove cons 60 ref 14872 remove 14876 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 14712 remove 1642 remove 14875 remove nil cons cons 1648 remove 14871 remove cons nil cons cons cons nil cons cons 14767 remove subst eqMp eqMp proveHyp eqMp eqMp eqMp 14768 remove deductAntisym eqMp eqMp eqMp 14769 remove deductAntisym eqMp eqMp absThm eqMp 14770 remove proveHyp 14771 remove eqMp eqMp eqMp nil 12044 remove 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 12004 remove cons 14710 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 574 ref 12003 remove appTerm nil cons cons 60 ref 64 ref 3642 remove appTerm 11986 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 3638 remove nil cons cons 14710 ref cons nil cons cons 1090 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 11993 remove cons 14710 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 3632 remove 11988 remove appTerm nil cons cons 60 ref 11990 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 4003 remove 11991 remove 4005 remove 11989 ref nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 64 ref 70 ref 3641 ref 3635 ref 11989 ref 3636 ref appTerm 14987 def absTerm appTerm appTerm 3641 ref 11969 ref 574 ref 3635 ref 64 ref 14987 ref appTerm 14988 def 11972 ref appTerm absTerm appTerm 14989 def absTerm appTerm appTerm appTerm 3641 ref 11969 ref 70 ref 14989 remove appTerm 574 ref 11978 ref 64 ref 574 ref 3635 ref 14988 remove 11980 ref appTerm absTerm appTerm appTerm 11984 ref appTerm absTerm appTerm appTerm absTerm appTerm appTerm nil cons cons 11957 ref cons nil cons cons 132 ref subst proveHyp 651 ref 651 ref 652 ref 11932 ref 4144 remove 11989 remove 4145 remove appTerm betaConv absThm appThm appThm 11932 ref 11969 ref 3998 ref 3635 ref 651 ref 14987 remove betaConv appThm 14990 def 14562 remove appThm absThm appThm 14991 def absThm appThm appThm appThm 11932 remove 11969 ref 652 ref 14991 remove appThm 3998 ref 11978 ref 651 ref 3998 ref 3635 ref 14990 remove 11980 ref refl appThm absThm appThm appThm 14782 remove appThm absThm appThm appThm absThm appThm appThm appThm 11953 ref refl appThm sym 3624 ref "s" 11899 remove 270 remove opType 14992 def var 14993 def 63 ref 204 remove 147 remove 11913 remove 1 ref 139 remove 1 ref 14992 ref 17 ref cons opType 14994 def nil cons 14995 def cons opType constTerm 148 remove appTerm 14993 remove varTerm 14996 def appTerm absTerm appTerm appTerm 1237 remove 54 remove 1 ref 14992 ref 14995 remove cons opType constTerm 14996 ref appTerm 11909 remove 14992 ref constTerm appTerm appTerm appTerm absTerm 14997 def 14996 ref appTerm 14998 def betaConv nil 0 remove 1 remove 14994 ref 17 remove cons opType constTerm 14997 ref appTerm 14999 def axiom nil 59 ref 14999 remove nil cons cons 60 ref 14998 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp "A" 14992 ref nil cons cons nil cons "P" 14994 remove var 14997 remove nil cons cons "x" 14992 remove var 14996 remove nil cons cons nil cons cons nil cons cons 163 ref subst eqMp eqMp subst 1443 remove nil 59 ref 11959 ref cons 60 ref 63 ref 11910 ref appTerm 1241 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst nil 107 ref 11910 remove nil cons cons nil cons nil cons cons 1855 remove subst eqMp appThm 1372 remove trans trans sym 100 remove eqMp nil 59 ref 3641 ref 3635 ref 11915 ref absTerm appTerm 15000 def nil cons cons 60 ref 3641 ref 11969 ref 574 ref 3635 ref 11916 ref 11972 remove appTerm absTerm appTerm 15001 def absTerm 15002 def appTerm 15003 def nil cons cons nil cons cons nil cons cons 152 ref subst proveHyp 11966 remove sym 11917 ref assume eqMp 3623 ref 3622 ref 15002 remove nil cons cons 3635 ref 11881 ref nil cons cons nil cons cons nil cons cons 279 ref subst proveHyp eqMp nil 59 ref 70 ref 15000 remove appTerm 15003 remove appTerm 15004 def nil cons cons 15005 def 60 ref 64 ref 3641 remove 11969 remove 70 ref 15001 remove appTerm 574 ref 11978 remove 64 ref 574 ref 3635 ref 11916 ref 11980 remove appTerm absTerm appTerm appTerm 11984 remove appTerm absTerm appTerm appTerm absTerm 15006 def appTerm 15007 def appTerm 11953 ref appTerm 15008 def nil cons cons nil cons 15009 def cons nil cons cons 152 ref subst proveHyp nil 3622 ref 3999 ref 64 ref 15006 ref 4000 remove appTerm 15010 def appTerm 11953 ref appTerm 15011 def absTerm nil cons cons nil cons nil cons cons 3625 remove subst 3999 remove nil 94 remove 15011 remove nil cons cons nil cons nil cons cons 101 remove subst nil 59 ref 15010 remove nil cons 15012 def cons 11957 remove cons nil cons cons 15013 def 81 ref subst 15013 remove 152 ref subst 3623 ref 3622 ref 11942 remove cons 12258 remove cons nil cons cons 279 remove subst eqMp nil 107 ref 15012 remove cons 109 ref 11956 ref cons nil cons 15014 def cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 574 ref 3635 ref 64 ref 15006 ref 3636 ref appTerm appTerm 11953 ref appTerm absTerm appTerm nil cons cons 15009 remove cons nil cons cons 132 ref subst proveHyp 3623 ref 3622 ref 15006 remove nil cons cons 15014 ref cons nil cons cons 1090 ref subst eqMp eqMp nil 59 ref 70 ref 15004 ref appTerm 15008 remove appTerm nil cons cons 60 ref 64 ref 64 ref 15004 remove appTerm 15007 ref appTerm appTerm 11953 ref appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp nil 969 ref 11956 remove cons 60 ref 15007 remove nil cons cons 15005 remove nil cons cons cons nil cons cons nil 59 ref 71 remove 978 ref appTerm nil cons 15015 def cons 60 ref 4108 remove 975 ref appTerm nil cons 15016 def cons nil cons cons nil cons cons 15017 def 81 ref subst 15017 remove 152 ref subst nil 1834 remove 60 ref 1000 ref cons nil cons 15018 def cons nil cons cons 15019 def 81 remove subst 15019 remove 152 remove subst nil 108 remove 109 ref 978 remove nil cons cons nil cons cons nil cons cons 15020 def 123 ref subst 132 ref proveHyp 125 remove eqMp nil 1837 remove 15018 remove cons nil cons cons 132 ref subst proveHyp 15020 remove 687 ref subst eqMp eqMp nil 1842 remove 109 ref 1000 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp eqMp nil 107 ref 15015 remove cons 109 ref 15016 remove cons nil cons cons nil cons cons 123 ref subst deductAntisym eqMp subst eqMp eqMp eqMp eqMp nil 107 ref 11967 ref cons 15014 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp eqMp nil 107 ref 11964 remove cons 15014 ref cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp nil 59 ref 574 ref 3635 ref 64 ref 11918 ref 3636 ref appTerm appTerm 11953 ref appTerm absTerm appTerm nil cons cons 60 ref 64 ref 11919 ref appTerm 11953 remove appTerm nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 3623 remove 3622 remove 11918 remove nil cons cons 15014 ref cons nil cons cons 1090 remove subst eqMp eqMp proveHyp proveHyp eqMp nil 107 ref 11943 remove cons 15014 remove cons nil cons cons 123 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp eqMp defineConstList 15021 def pop hdTl pop 11905 remove constTerm 11908 ref appTerm 15022 def appTerm 15023 def nil cons cons 60 ref 11915 ref nil cons 15024 def cons 11945 ref cons cons nil cons cons 991 ref 975 ref appTerm 15025 def betaConv 993 ref 67 ref appTerm 15026 def betaConv 995 ref 65 ref appTerm 15027 def betaConv 997 remove nil 59 ref 996 remove nil cons cons 60 ref 15027 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 995 remove nil cons cons 998 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 994 remove nil cons cons 60 ref 15026 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 993 remove nil cons cons 999 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 992 remove nil cons cons 60 ref 15025 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 991 remove nil cons cons 1001 ref cons nil cons cons 163 ref subst eqMp eqMp 15028 def subst 651 ref nil 1792 ref 15024 remove cons 1708 ref 11960 remove cons 1709 ref 11959 remove cons nil cons cons 15029 def cons nil cons cons 1792 ref 63 ref 70 ref 70 ref 1711 ref appTerm 15030 def 1713 ref appTerm appTerm 1794 ref appTerm appTerm 15030 remove 70 ref 1713 ref appTerm 1794 ref appTerm appTerm appTerm absTerm 15031 def 1794 remove appTerm 15032 def betaConv 1708 remove 194 ref 15031 ref appTerm 15033 def absTerm 15034 def 1713 remove appTerm 15035 def betaConv 1709 remove 194 ref 15034 ref appTerm 15036 def absTerm 15037 def 1711 remove appTerm 15038 def betaConv nil 194 ref 15037 ref appTerm 15039 def axiom nil 59 ref 15039 remove nil cons cons 60 ref 15038 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 15037 remove nil cons cons 1722 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 15036 remove nil cons cons 60 ref 15035 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 15034 remove nil cons cons 1723 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 15033 remove nil cons cons 60 ref 15032 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 15031 remove nil cons cons 1814 remove cons nil cons cons 163 ref subst eqMp eqMp 15040 def subst appThm 15023 ref refl appThm trans absThm appThm absThm appThm appThm 11903 ref 11904 ref 3998 ref 11870 ref nil 969 ref 6793 remove 15022 remove appTerm 11881 ref appTerm 15041 def nil cons cons 60 ref 11967 ref cons 11945 ref cons cons nil cons cons 15028 remove subst 651 remove nil 1792 remove 11967 remove cons 15029 remove cons nil cons cons 15040 remove subst appThm 15041 ref refl appThm trans absThm appThm absThm appThm appThm 652 ref 11903 ref 11904 ref 111 ref 11938 ref 3998 ref 3635 ref 3635 ref 11916 remove 15023 ref appTerm absTerm 15042 def 3636 remove appTerm betaConv 15043 def absThm appThm appThm appThm 3998 ref 3635 ref 11938 ref 15043 remove appThm absThm appThm appThm nil 11941 ref 15042 ref nil cons cons 11945 ref cons nil cons cons 3624 remove 1501 remove 63 ref 66 ref 1508 remove appTerm appTerm 142 remove 11946 remove appTerm appTerm absTerm 15044 def 1503 remove appTerm 15045 def betaConv 59 ref 1480 remove 15044 ref appTerm 15046 def absTerm 15047 def 65 ref appTerm 15048 def betaConv nil 194 ref 15047 ref appTerm 15049 def axiom nil 59 ref 15049 remove nil cons cons 60 ref 15048 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 15047 remove nil cons cons 998 ref cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 15046 remove nil cons cons 60 ref 15045 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 1482 remove 1483 remove 15044 remove nil cons cons 1516 remove cons nil cons cons 163 ref subst eqMp eqMp subst 15050 def subst eqMp absThm appThm appThm 11903 ref 11904 ref 111 ref 11938 ref 3998 ref 11870 ref 11870 ref 11924 remove 15041 ref appTerm absTerm 15051 def 11881 remove appTerm betaConv 15052 def absThm appThm appThm appThm 3998 remove 11870 ref 11938 remove 15052 remove appThm absThm appThm appThm nil 11941 remove 15051 ref nil cons cons 11945 ref cons nil cons cons 15050 remove subst eqMp absThm appThm appThm 11903 ref 11904 ref nil 969 ref 574 ref 15051 remove appTerm 15053 def nil cons cons 60 ref 574 ref 15042 remove appTerm 15054 def nil cons cons 11945 remove cons cons nil cons cons 969 remove 63 remove 66 remove 70 ref 67 ref appTerm 975 ref appTerm appTerm appTerm 70 ref 68 remove appTerm 1434 remove appTerm appTerm absTerm 15055 def 975 remove appTerm 15056 def betaConv 60 ref 194 ref 15055 ref appTerm 15057 def absTerm 15058 def 67 remove appTerm 15059 def betaConv 59 ref 194 ref 15058 ref appTerm 15060 def absTerm 15061 def 65 remove appTerm 15062 def betaConv nil 194 remove 15061 ref appTerm 15063 def axiom nil 59 ref 15063 remove nil cons cons 60 ref 15062 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 15061 remove nil cons cons 998 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 ref 15060 remove nil cons cons 60 ref 15059 remove nil cons cons nil cons cons nil cons cons 132 ref subst proveHyp 196 ref 197 ref 15058 remove nil cons cons 999 remove cons nil cons cons 163 ref subst eqMp eqMp nil 59 remove 15057 remove nil cons cons 60 remove 15056 remove nil cons cons nil cons cons nil cons cons 132 remove subst proveHyp 196 remove 197 remove 15055 remove nil cons cons 1001 remove cons nil cons cons 163 remove subst eqMp eqMp subst absThm appThm 111 remove 11903 ref 11904 ref 652 ref 11904 ref 11921 ref 15054 remove appTerm absTerm 15064 def 11908 ref appTerm betaConv 15065 def appThm 11904 ref 11921 remove 15053 remove appTerm absTerm 15066 def 11908 remove appTerm betaConv 15067 def appThm absThm appThm appThm 652 remove 11903 ref 11904 ref 15065 remove absThm appThm appThm 11903 remove 11904 ref 15067 remove absThm appThm appThm appThm nil "p" 11901 ref var 15064 remove nil cons cons "q" 11901 remove var 15066 remove nil cons cons nil cons cons nil cons cons 11955 remove 1517 remove subst subst eqMp trans 15021 remove eqMp eqMp eqMp 15068 def nil 107 remove 11902 ref 11904 ref 574 ref 3635 remove 64 ref 11912 ref 70 remove 11919 remove appTerm 15069 def 11915 remove appTerm appTerm appTerm 15023 remove appTerm absTerm appTerm absTerm appTerm 15070 def nil cons cons 109 remove 11902 remove 11904 remove 574 remove 11870 remove 64 remove 11912 remove 15069 remove 11917 remove appTerm appTerm appTerm 15041 remove appTerm absTerm appTerm absTerm appTerm 15071 def nil cons cons nil cons cons nil cons cons 15072 def 123 remove subst proveHyp nil 15070 remove thm 15068 remove 15072 remove 687 remove subst proveHyp nil 15071 remove thm