path: "vendor/opentheory/data/theories/hardware-counter-thm/hardware-counter-thm.art"
6 version nil "P" "->" typeOp 0 def "Hardware.wire" typeOp nil opType 1 def "bool" typeOp nil opType 2 def nil cons 3 def cons opType 4 def var 5 def "ld" 1 ref var 6 def "Data.Bool.!" const 7 def 0 ref 0 ref "Hardware.bus" typeOp nil opType 8 def 3 ref cons opType 9 def 3 ref cons opType 10 def constTerm 11 def "nb" 8 ref var 12 def 7 ref 0 ref 4 ref 3 ref cons opType 13 def constTerm 14 def "dn" 1 ref var 15 def 7 ref 0 ref 0 ref "Number.Natural.natural" typeOp nil opType 16 def 3 ref cons opType 17 def 3 ref cons opType 18 def constTerm 19 def "t" 16 ref var 20 def "Data.Bool.==>" const 0 ref 2 ref 0 ref 2 ref 3 ref cons opType 21 def nil cons cons opType 22 def constTerm 23 def "Data.Bool./\\" const 22 ref constTerm 24 def "Hardware.signal" const 0 ref 1 ref 17 ref nil cons 25 def cons opType constTerm 26 def 6 ref varTerm 27 def appTerm 28 def 20 ref varTerm 29 def appTerm 30 def appTerm 31 def "Hardware.counter" const 0 ref 1 ref 0 ref 8 ref 4 ref nil cons 32 def cons opType nil cons cons opType 33 def constTerm 27 ref appTerm 12 ref varTerm 34 def appTerm 35 def 15 ref varTerm 36 def appTerm 37 def appTerm appTerm "Data.Bool.~" const 21 ref constTerm 38 def 26 ref 36 ref appTerm 39 def 29 ref appTerm 40 def appTerm 41 def appTerm 42 def absTerm 43 def appTerm 44 def absTerm 45 def appTerm 46 def absTerm 47 def appTerm 48 def absTerm 49 def nil cons cons nil cons nil cons cons "A" 1 ref nil cons 50 def cons 51 def nil cons 52 def nil nil cons 53 def cons 54 def "=" const 55 def 22 ref constTerm 56 def 7 ref 0 ref 0 ref "A" varType 57 def 3 ref cons opType 58 def 3 ref cons opType 59 def constTerm 60 def "P" 58 ref var 61 def varTerm 62 def appTerm 63 def appTerm refl "p" 58 ref var 64 def 55 ref 0 ref 58 ref 59 ref nil cons cons opType constTerm 64 ref varTerm 65 def appTerm "x" 57 ref var 66 def "Data.Bool.T" const 2 ref constTerm 67 def absTerm 68 def appTerm absTerm 69 def 62 ref appTerm betaConv 70 def appThm nil 55 ref 0 ref 59 ref 0 ref 59 ref 3 ref cons opType 71 def nil cons cons opType constTerm 72 def 60 ref appTerm 69 remove appTerm axiom 62 ref refl 73 def appThm 74 def eqMp sym 75 def subst 76 def subst 6 ref nil "t" 2 ref var 77 def 48 remove nil cons cons nil cons nil cons cons 56 ref 77 ref varTerm 78 def appTerm 79 def 67 ref appTerm 80 def assume sym nil 67 ref axiom 81 def eqMp 78 ref assume 81 ref deductAntisym deductAntisym 82 def subst nil "P" 9 ref var 83 def 47 remove nil cons cons nil cons nil cons cons "A" 8 ref nil cons 84 def cons nil cons 85 def 53 ref cons 86 def 75 ref subst 87 def subst 12 ref nil 77 ref 46 remove nil cons 88 def cons nil cons nil cons cons 82 ref subst nil 5 ref 45 ref nil cons cons 89 def nil cons nil cons cons 76 ref subst 15 ref nil 77 ref 44 remove nil cons cons nil cons nil cons cons 82 ref subst nil "P" 17 ref var 90 def 43 remove nil cons cons nil cons nil cons cons "A" 16 ref nil cons 91 def cons 92 def nil cons 93 def 53 ref cons 94 def 75 ref subst 95 def subst 20 ref nil 77 ref 42 remove nil cons cons nil cons nil cons cons 82 ref subst 23 ref refl 96 def 31 ref refl 97 def 15 ref 56 ref 37 ref appTerm "Data.Bool.?" const 98 def 18 ref constTerm 99 def "r" 16 ref var 100 def 98 ref 10 remove constTerm 101 def "sp" 8 ref var 102 def 101 ref "cp" 8 ref var 103 def 101 ref "sq" 8 ref var 104 def 101 ref "cq" 8 ref var 105 def 101 ref "sr" 8 ref var 106 def 101 ref "cr" 8 ref var 107 def 98 ref 13 remove constTerm 108 def "dp" 1 ref var 109 def 108 ref "dq" 1 ref var 110 def 108 ref "dr" 1 ref var 111 def 108 ref "nb0" 1 ref var 112 def 101 ref "nb1" 8 ref var 113 def 108 ref "cp0" 1 ref var 114 def 101 ref "cp1" 8 ref var 115 def 108 ref "cp2" 1 ref var 116 def 108 ref "cq0" 1 ref var 117 def 101 ref "cq1" 8 ref var 118 def 108 ref "cr0" 1 ref var 119 def 101 ref "cr1" 8 ref var 120 def 24 ref 55 ref 0 ref 16 ref 25 ref cons opType 121 def constTerm 122 def "Hardware.Bus.width" const 0 ref 8 ref 91 ref cons opType constTerm 123 def 34 ref appTerm 124 def appTerm 125 def "Number.Natural.+" const 0 ref 16 ref 0 ref 16 ref 91 ref cons 126 def opType 127 def nil cons 128 def cons opType 129 def constTerm 130 def 100 ref varTerm 131 def appTerm 132 def "Number.Natural.bit1" const 127 ref constTerm 133 def "Number.Natural.zero" const 16 ref constTerm 134 def appTerm 135 def appTerm 136 def appTerm 137 def appTerm 138 def 24 ref 122 ref 123 ref 102 ref varTerm 139 def appTerm 140 def appTerm 141 def 131 ref appTerm 142 def appTerm 24 ref 122 ref 123 ref 103 ref varTerm 143 def appTerm 144 def appTerm 145 def 136 ref appTerm 146 def appTerm 147 def 24 ref 122 ref 123 ref 104 ref varTerm 148 def appTerm 149 def appTerm 150 def 131 ref appTerm 151 def appTerm 24 ref 122 ref 123 ref 105 ref varTerm 152 def appTerm 153 def appTerm 154 def 136 ref appTerm 155 def appTerm 156 def 24 ref 122 ref 123 ref 106 ref varTerm 157 def appTerm 158 def appTerm 159 def 131 ref appTerm 160 def appTerm 24 ref 122 ref 123 ref 107 ref varTerm 161 def appTerm 162 def appTerm 163 def 136 ref appTerm 164 def appTerm 165 def 24 ref "Hardware.Bus.wire" const 0 ref 8 ref 0 ref 16 ref 32 ref cons opType nil cons 166 def cons opType constTerm 167 def 34 ref appTerm 168 def 134 ref appTerm 169 def 112 ref varTerm 170 def appTerm 171 def appTerm 172 def 24 ref "Hardware.Bus.sub" const 0 ref 8 ref 0 ref 16 ref 0 ref 16 ref 9 ref nil cons 173 def cons opType nil cons cons opType nil cons cons opType constTerm 174 def 34 ref appTerm 175 def 135 ref appTerm 176 def 131 ref appTerm 177 def 113 ref varTerm 178 def appTerm 179 def appTerm 24 ref 167 ref 143 ref appTerm 180 def 134 ref appTerm 181 def 114 ref varTerm 182 def appTerm 183 def appTerm 184 def 24 ref 174 ref 143 ref appTerm 185 def 134 ref appTerm 186 def 131 ref appTerm 187 def 115 ref varTerm 188 def appTerm 189 def appTerm 190 def 24 ref 180 ref 131 ref appTerm 191 def 116 ref varTerm 192 def appTerm 193 def appTerm 194 def 24 ref 167 ref 152 ref appTerm 195 def 134 ref appTerm 117 ref varTerm 196 def appTerm 197 def appTerm 198 def 24 ref 174 ref 152 ref appTerm 199 def 135 ref appTerm 200 def 131 ref appTerm 201 def 118 ref varTerm 202 def appTerm 203 def appTerm 204 def 24 ref 167 ref 161 ref appTerm 205 def 134 ref appTerm 206 def 119 ref varTerm 207 def appTerm 208 def appTerm 209 def 24 ref 174 ref 161 ref appTerm 210 def 135 ref appTerm 211 def 131 ref appTerm 212 def 120 ref varTerm 213 def appTerm 214 def appTerm 24 ref "Hardware.not" const 0 ref 1 ref 32 ref cons opType 215 def constTerm 216 def 182 ref appTerm 217 def 196 ref appTerm 218 def appTerm 24 ref "Hardware.Bus.adder2" const 0 ref 8 ref 0 ref 8 ref 0 ref 8 ref 173 ref cons opType 219 def nil cons 220 def cons opType 221 def nil cons 222 def cons opType constTerm 223 def 139 ref appTerm 224 def 188 ref appTerm 225 def 148 ref appTerm 226 def 202 ref appTerm 227 def appTerm 24 ref "Hardware.or2" const 0 ref 1 ref 215 ref nil cons 228 def cons opType 229 def constTerm 230 def 109 ref varTerm 231 def appTerm 232 def 192 ref appTerm 233 def 110 ref varTerm 234 def appTerm 235 def appTerm 236 def 24 ref "Hardware.Bus.case1" const 0 ref 1 ref 222 ref cons opType constTerm 237 def 27 ref appTerm 238 def 178 ref appTerm 239 def 148 ref appTerm 240 def 157 ref appTerm 241 def appTerm 242 def 24 ref "Hardware.case1" const 0 ref 1 ref 229 ref nil cons 243 def cons opType constTerm 244 def 27 ref appTerm 245 def 170 ref appTerm 246 def 196 ref appTerm 247 def 207 ref appTerm 248 def appTerm 24 ref 238 ref "Hardware.Bus.ground" const 0 ref 16 ref 84 ref cons opType constTerm 249 def 131 ref appTerm 250 def appTerm 251 def 202 ref appTerm 252 def 213 ref appTerm 253 def appTerm 254 def 24 ref 245 ref "Hardware.ground" const 1 ref constTerm 255 def appTerm 256 def 234 ref appTerm 257 def 111 ref varTerm 258 def appTerm 259 def appTerm 24 ref "Hardware.connect" const 215 ref constTerm 260 def 258 ref appTerm 261 def 36 ref appTerm 262 def appTerm 24 ref "Hardware.Bus.delay" const 219 ref constTerm 263 def 157 ref appTerm 264 def 139 ref appTerm 265 def appTerm 266 def 24 ref 263 ref 161 ref appTerm 267 def 143 ref appTerm 268 def appTerm 269 def "Hardware.delay" const 215 ref constTerm 270 def 258 ref appTerm 271 def 231 ref appTerm 272 def appTerm 273 def appTerm 274 def appTerm 275 def appTerm 276 def appTerm 277 def appTerm 278 def appTerm 279 def appTerm 280 def appTerm 281 def appTerm 282 def appTerm 283 def appTerm 284 def appTerm 285 def appTerm 286 def appTerm 287 def appTerm 288 def appTerm 289 def appTerm 290 def appTerm 291 def appTerm 292 def appTerm 293 def appTerm 294 def appTerm 295 def appTerm 296 def appTerm 297 def appTerm 298 def absTerm 299 def appTerm 300 def absTerm 301 def appTerm 302 def absTerm 303 def appTerm 304 def absTerm 305 def appTerm 306 def absTerm 307 def appTerm 308 def absTerm 309 def appTerm 310 def absTerm 311 def appTerm 312 def absTerm 313 def appTerm 314 def absTerm 315 def appTerm 316 def absTerm 317 def appTerm 318 def absTerm 319 def appTerm 320 def absTerm 321 def appTerm 322 def absTerm 323 def appTerm 324 def absTerm 325 def appTerm 326 def absTerm 327 def appTerm 328 def absTerm 329 def appTerm 330 def absTerm 331 def appTerm 332 def absTerm 333 def appTerm 334 def absTerm 335 def appTerm 336 def appTerm absTerm 337 def 36 ref appTerm 338 def betaConv 12 ref 14 ref 337 ref appTerm 339 def absTerm 340 def 34 ref appTerm 341 def betaConv 6 ref 11 ref 340 ref appTerm 342 def absTerm 343 def 27 ref appTerm 344 def betaConv nil 14 ref 343 ref appTerm 345 def axiom nil "p" 2 ref var 346 def 345 remove nil cons cons "q" 2 ref var 347 def 344 remove nil cons cons nil cons cons nil cons cons 56 ref 23 ref 346 ref varTerm 348 def appTerm 349 def 347 ref varTerm 350 def appTerm 351 def appTerm refl 346 ref 347 ref 56 ref 24 ref 348 ref appTerm 352 def 350 ref appTerm 353 def appTerm 354 def 348 ref appTerm absTerm 355 def absTerm 356 def 348 ref appTerm betaConv 350 ref refl 357 def appThm 355 remove 350 ref appTerm betaConv trans appThm nil 55 ref 0 ref 22 ref 0 ref 22 ref 3 ref cons opType 358 def nil cons cons opType constTerm 359 def 23 ref appTerm 356 remove appTerm axiom 348 ref refl 360 def appThm 357 ref appThm eqMp 361 def sym 362 def 354 remove refl 347 ref 55 ref 0 ref 358 ref 0 ref 358 remove 3 ref cons opType nil cons cons opType constTerm 363 def "f" 22 ref var 364 def 364 ref varTerm 365 def 348 ref appTerm 350 ref appTerm absTerm 366 def appTerm 364 ref 365 ref 67 ref appTerm 67 ref appTerm absTerm 367 def appTerm absTerm 368 def 350 ref appTerm betaConv appThm 55 ref 0 ref 21 ref 0 ref 21 ref 3 ref cons opType 369 def nil cons cons opType constTerm 370 def 352 ref appTerm refl 346 ref 368 remove absTerm 371 def 348 ref appTerm betaConv appThm nil 359 ref 24 ref appTerm 371 ref appTerm axiom 372 def 360 remove appThm eqMp 357 ref appThm eqMp 373 def sym 364 ref 365 ref refl nil 77 ref 348 ref nil cons 374 def cons nil cons nil cons cons 82 ref subst 348 ref assume 375 def eqMp appThm nil 77 ref 350 ref nil cons 376 def cons nil cons nil cons cons 82 ref subst 350 ref assume 377 def eqMp appThm absThm eqMp 378 def nil "P" 2 ref var 379 def 374 ref cons 380 def "Q" 2 ref var 381 def 376 ref cons nil cons 382 def cons nil cons cons 56 ref refl 383 def 364 ref 365 remove 379 ref varTerm 384 def appTerm 385 def 381 ref varTerm 386 def appTerm absTerm 387 def 346 ref 347 ref 348 ref absTerm absTerm 388 def appTerm betaConv 388 ref 384 ref appTerm betaConv 386 ref refl 389 def appThm 347 ref 384 ref absTerm 386 ref appTerm betaConv trans trans appThm 367 ref 388 ref appTerm betaConv 388 ref 67 ref appTerm betaConv 67 ref refl 390 def appThm 347 ref 67 ref absTerm 67 ref appTerm betaConv trans trans appThm 56 ref 24 ref 384 ref appTerm 391 def 386 ref appTerm 392 def appTerm refl 347 ref 363 remove 364 remove 385 remove 350 ref appTerm absTerm appTerm 367 ref appTerm absTerm 386 ref appTerm betaConv appThm 370 ref 391 remove appTerm refl 371 remove 384 ref appTerm betaConv appThm 372 remove 384 ref refl 393 def appThm eqMp 389 ref appThm eqMp 392 remove assume eqMp 394 def 388 remove refl appThm eqMp sym 81 ref eqMp 395 def subst 396 def deductAntisym eqMp 361 remove 351 ref assume 397 def eqMp sym 375 ref eqMp 383 ref 366 remove 346 ref 347 ref 350 ref absTerm 398 def absTerm 399 def appTerm betaConv 399 ref 348 ref appTerm betaConv 357 remove appThm 398 ref 350 ref appTerm betaConv trans trans appThm 367 remove 399 ref appTerm betaConv 399 ref 67 ref appTerm betaConv 390 ref appThm 398 ref 67 ref appTerm betaConv trans trans 400 def appThm 373 remove 353 ref assume eqMp 399 ref refl 401 def appThm eqMp sym 81 ref eqMp 402 def proveHyp deductAntisym 403 def subst proveHyp 52 ref 5 ref 343 remove nil cons cons "x" 1 ref var 404 def 27 ref nil cons 405 def cons nil cons 406 def cons nil cons cons nil 346 ref 63 ref nil cons 407 def cons 347 ref 62 ref 66 ref varTerm 408 def appTerm 409 def nil cons 410 def cons nil cons cons nil cons cons 411 def 362 ref subst 411 remove 402 remove 378 remove deductAntisym 412 def subst 56 ref 409 ref appTerm refl 68 remove 408 ref appTerm betaConv appThm 70 remove 74 remove 63 remove assume eqMp eqMp 408 ref refl 413 def appThm eqMp sym 81 ref eqMp eqMp nil 379 ref 407 remove cons 381 ref 410 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp 414 def subst eqMp eqMp nil 346 ref 342 remove nil cons cons 347 ref 341 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 340 remove nil cons cons "x" 8 ref var 415 def 34 ref nil cons cons nil cons 416 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 339 remove nil cons cons 347 ref 338 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 337 remove nil cons cons 404 ref 36 ref nil cons cons nil cons 417 def cons nil cons cons 414 ref subst eqMp eqMp 418 def appThm appThm 41 ref refl 419 def appThm sym nil 346 ref 31 ref 336 ref appTerm nil cons 420 def cons 347 ref 41 ref nil cons 421 def cons nil cons 422 def cons nil cons cons 423 def 362 ref subst 423 remove 412 ref subst nil 379 ref 30 ref nil cons 424 def cons 425 def 381 ref 336 ref nil cons 426 def cons nil cons cons nil cons cons 427 def 395 ref subst 427 remove 383 ref 387 remove 399 ref appTerm betaConv 399 remove 384 ref appTerm betaConv 389 ref appThm 398 remove 386 ref appTerm betaConv trans trans appThm 400 remove appThm 394 remove 401 remove appThm eqMp sym 81 ref eqMp 428 def subst nil 346 ref 426 remove cons 422 ref cons nil cons cons 403 ref subst nil 90 ref 100 ref 23 ref 335 ref 131 ref appTerm 429 def appTerm 430 def 41 ref appTerm 431 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 100 ref nil 77 ref 431 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 429 ref nil cons 432 def cons 433 def 422 ref cons nil cons cons 434 def 362 ref subst 434 remove 412 ref subst 429 ref betaConv 429 remove assume eqMp 435 def nil 346 ref 334 ref nil cons cons 436 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 102 ref 23 ref 333 ref 139 ref appTerm 437 def appTerm 438 def 41 ref appTerm 439 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 102 ref nil 77 ref 439 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 437 ref nil cons 440 def cons 441 def 422 ref cons nil cons cons 442 def 362 ref subst 442 remove 412 ref subst 437 ref betaConv 437 remove assume eqMp 443 def nil 346 ref 332 ref nil cons cons 444 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 103 ref 23 ref 331 ref 143 ref appTerm 445 def appTerm 446 def 41 ref appTerm 447 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 103 ref nil 77 ref 447 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 445 ref nil cons 448 def cons 449 def 422 ref cons nil cons cons 450 def 362 ref subst 450 remove 412 ref subst 445 ref betaConv 445 remove assume eqMp 451 def nil 346 ref 330 ref nil cons cons 452 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 104 ref 23 ref 329 ref 148 ref appTerm 453 def appTerm 454 def 41 ref appTerm 455 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 104 ref nil 77 ref 455 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 453 ref nil cons 456 def cons 457 def 422 ref cons nil cons cons 458 def 362 ref subst 458 remove 412 ref subst 453 ref betaConv 453 remove assume eqMp 459 def nil 346 ref 328 ref nil cons cons 460 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 105 ref 23 ref 327 ref 152 ref appTerm 461 def appTerm 462 def 41 ref appTerm 463 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 105 ref nil 77 ref 463 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 461 ref nil cons 464 def cons 465 def 422 ref cons nil cons cons 466 def 362 ref subst 466 remove 412 ref subst 461 ref betaConv 461 remove assume eqMp 467 def nil 346 ref 326 ref nil cons cons 468 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 106 ref 23 ref 325 ref 157 ref appTerm 469 def appTerm 470 def 41 ref appTerm 471 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 106 ref nil 77 ref 471 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 469 ref nil cons 472 def cons 473 def 422 ref cons nil cons cons 474 def 362 ref subst 474 remove 412 ref subst 469 ref betaConv 469 remove assume eqMp 475 def nil 346 ref 324 ref nil cons cons 476 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 107 ref 23 ref 323 ref 161 ref appTerm 477 def appTerm 478 def 41 ref appTerm 479 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 107 ref nil 77 ref 479 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 477 ref nil cons 480 def cons 481 def 422 ref cons nil cons cons 482 def 362 ref subst 482 remove 412 ref subst 477 ref betaConv 477 remove assume eqMp 483 def nil 346 ref 322 ref nil cons cons 484 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 109 ref 23 ref 321 ref 231 ref appTerm 485 def appTerm 486 def 41 ref appTerm 487 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 109 ref nil 77 ref 487 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 485 ref nil cons 488 def cons 489 def 422 ref cons nil cons cons 490 def 362 ref subst 490 remove 412 ref subst 485 ref betaConv 485 remove assume eqMp 491 def nil 346 ref 320 ref nil cons cons 492 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 110 ref 23 ref 319 ref 234 ref appTerm 493 def appTerm 494 def 41 ref appTerm 495 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 110 ref nil 77 ref 495 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 493 ref nil cons 496 def cons 497 def 422 ref cons nil cons cons 498 def 362 ref subst 498 remove 412 ref subst 493 ref betaConv 493 remove assume eqMp 499 def nil 346 ref 318 ref nil cons cons 500 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 111 ref 23 ref 317 ref 258 ref appTerm 501 def appTerm 502 def 41 ref appTerm 503 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 111 ref nil 77 ref 503 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 501 ref nil cons 504 def cons 505 def 422 ref cons nil cons cons 506 def 362 ref subst 506 remove 412 ref subst 501 ref betaConv 501 remove assume eqMp 507 def nil 346 ref 316 ref nil cons cons 508 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 112 ref 23 ref 315 ref 170 ref appTerm 509 def appTerm 510 def 41 ref appTerm 511 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 112 ref nil 77 ref 511 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 509 ref nil cons 512 def cons 513 def 422 ref cons nil cons cons 514 def 362 ref subst 514 remove 412 ref subst 509 ref betaConv 509 remove assume eqMp 515 def nil 346 ref 314 ref nil cons cons 516 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 113 ref 23 ref 313 ref 178 ref appTerm 517 def appTerm 518 def 41 ref appTerm 519 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 113 ref nil 77 ref 519 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 517 ref nil cons 520 def cons 521 def 422 ref cons nil cons cons 522 def 362 ref subst 522 remove 412 ref subst 517 ref betaConv 517 remove assume eqMp 523 def nil 346 ref 312 ref nil cons cons 524 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 114 ref 23 ref 311 ref 182 ref appTerm 525 def appTerm 526 def 41 ref appTerm 527 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 114 ref nil 77 ref 527 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 525 ref nil cons 528 def cons 529 def 422 ref cons nil cons cons 530 def 362 ref subst 530 remove 412 ref subst 525 ref betaConv 525 remove assume eqMp 531 def nil 346 ref 310 ref nil cons cons 532 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 115 ref 23 ref 309 ref 188 ref appTerm 533 def appTerm 534 def 41 ref appTerm 535 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 115 ref nil 77 ref 535 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 533 ref nil cons 536 def cons 537 def 422 ref cons nil cons cons 538 def 362 ref subst 538 remove 412 ref subst 533 ref betaConv 533 remove assume eqMp 539 def nil 346 ref 308 ref nil cons cons 540 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 116 ref 23 ref 307 ref 192 ref appTerm 541 def appTerm 542 def 41 ref appTerm 543 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 116 ref nil 77 ref 543 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 541 ref nil cons 544 def cons 545 def 422 ref cons nil cons cons 546 def 362 ref subst 546 remove 412 ref subst 541 ref betaConv 541 remove assume eqMp 547 def nil 346 ref 306 ref nil cons cons 548 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 117 ref 23 ref 305 ref 196 ref appTerm 549 def appTerm 550 def 41 ref appTerm 551 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 117 ref nil 77 ref 551 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 549 ref nil cons 552 def cons 553 def 422 ref cons nil cons cons 554 def 362 ref subst 554 remove 412 ref subst 549 ref betaConv 549 remove assume eqMp 555 def nil 346 ref 304 ref nil cons cons 556 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 118 ref 23 ref 303 ref 202 ref appTerm 557 def appTerm 558 def 41 ref appTerm 559 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 118 ref nil 77 ref 559 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 557 ref nil cons 560 def cons 561 def 422 ref cons nil cons cons 562 def 362 ref subst 562 remove 412 ref subst 557 ref betaConv 557 remove assume eqMp 563 def nil 346 ref 302 ref nil cons cons 564 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 119 ref 23 ref 301 ref 207 ref appTerm 565 def appTerm 566 def 41 ref appTerm 567 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 119 ref nil 77 ref 567 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 565 ref nil cons 568 def cons 569 def 422 ref cons nil cons cons 570 def 362 ref subst 570 remove 412 ref subst 565 ref betaConv 565 remove assume eqMp 571 def nil 346 ref 300 ref nil cons cons 572 def 422 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 120 ref 23 ref 299 ref 213 ref appTerm 573 def appTerm 574 def 41 ref appTerm 575 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 120 ref nil 77 ref 575 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 573 ref nil cons 576 def cons 577 def 422 ref cons nil cons cons 578 def 362 ref subst 578 remove 412 ref subst 573 ref betaConv 573 remove assume eqMp 579 def nil 346 ref 298 remove nil cons 580 def cons 581 def 422 ref cons nil cons cons 582 def 403 ref subst proveHyp 582 ref 362 ref subst 582 remove 412 ref subst nil 379 ref 137 ref nil cons cons 583 def 381 ref 297 remove nil cons cons nil cons cons nil cons cons 584 def 428 ref subst 585 def nil 379 ref 142 ref nil cons cons 381 ref 296 remove nil cons cons nil cons cons nil cons cons 586 def 428 ref subst 587 def nil 379 ref 146 ref nil cons cons 588 def 381 ref 295 remove nil cons cons nil cons cons nil cons cons 589 def 428 ref subst 590 def nil 379 ref 151 ref nil cons cons 381 ref 294 remove nil cons cons nil cons cons nil cons cons 591 def 428 ref subst 592 def nil 379 ref 155 ref nil cons cons 593 def 381 ref 293 remove nil cons cons nil cons cons nil cons cons 594 def 428 ref subst 595 def nil 379 ref 160 ref nil cons cons 381 ref 292 remove nil cons cons nil cons cons nil cons cons 596 def 428 ref subst 597 def nil 379 ref 164 ref nil cons cons 598 def 381 ref 291 remove nil cons cons nil cons cons nil cons cons 599 def 428 ref subst 600 def nil 379 ref 171 ref nil cons 601 def cons 381 ref 290 remove nil cons cons nil cons cons nil cons cons 602 def 428 ref subst 603 def nil 379 ref 179 ref nil cons 604 def cons 381 ref 289 remove nil cons cons nil cons cons nil cons cons 605 def 428 ref subst 606 def nil 379 ref 183 ref nil cons 607 def cons 608 def 381 ref 288 remove nil cons cons nil cons cons nil cons cons 609 def 428 ref subst 610 def nil 379 ref 189 ref nil cons 611 def cons 612 def 381 ref 287 remove nil cons cons nil cons cons nil cons cons 613 def 428 ref subst 614 def nil 379 ref 193 ref nil cons 615 def cons 616 def 381 ref 286 remove nil cons cons nil cons cons nil cons cons 617 def 428 ref subst 618 def nil 379 ref 197 ref nil cons 619 def cons 620 def 381 ref 285 remove nil cons cons nil cons cons nil cons cons 428 ref subst 621 def nil 379 ref 203 ref nil cons 622 def cons 623 def 381 ref 284 remove nil cons cons nil cons cons nil cons cons 624 def 428 ref subst 625 def nil 379 ref 208 ref nil cons 626 def cons 627 def 381 ref 283 remove nil cons cons nil cons cons nil cons cons 628 def 428 ref subst 629 def nil 379 ref 214 ref nil cons 630 def cons 381 ref 282 remove nil cons cons nil cons cons nil cons cons 631 def 428 ref subst 632 def nil 379 ref 218 ref nil cons 633 def cons 381 ref 281 remove nil cons cons nil cons cons nil cons cons 634 def 428 ref subst 635 def nil 379 ref 227 ref nil cons 636 def cons 381 ref 280 remove nil cons cons nil cons cons nil cons cons 637 def 428 ref subst 638 def nil 379 ref 235 ref nil cons 639 def cons 640 def 381 ref 279 remove nil cons cons nil cons cons nil cons cons 641 def 428 ref subst 642 def nil 379 ref 241 ref nil cons 643 def cons 381 ref 278 remove nil cons cons nil cons cons nil cons cons 644 def 428 ref subst 645 def nil 379 ref 248 ref nil cons 646 def cons 381 ref 277 remove nil cons cons nil cons cons nil cons cons 647 def 428 ref subst 648 def nil 379 ref 253 ref nil cons 649 def cons 381 ref 276 ref nil cons cons nil cons 650 def cons nil cons cons 651 def 428 ref subst 652 def nil 379 ref 259 ref nil cons 653 def cons 654 def 381 ref 275 remove nil cons cons nil cons cons nil cons cons 655 def 395 ref subst 656 def 655 remove 428 ref subst 657 def nil 379 ref 262 ref nil cons 658 def cons 381 ref 274 ref nil cons cons nil cons cons nil cons cons 659 def 395 ref subst 660 def nil 379 ref 40 ref nil cons 661 def cons 662 def nil cons nil cons cons 56 ref 38 ref 384 ref appTerm 663 def appTerm refl 346 ref 349 ref "Data.Bool.F" const 2 ref constTerm 664 def appTerm absTerm 665 def 384 ref appTerm betaConv appThm nil 370 ref 38 ref appTerm 665 remove appTerm axiom 393 ref appThm eqMp 666 def sym 667 def subst nil 346 ref 661 ref cons 347 ref 664 ref nil cons 668 def cons nil cons 669 def cons nil cons cons 670 def 362 ref subst 670 remove 412 ref subst 20 ref 23 ref 262 ref appTerm 671 def 56 ref 40 ref appTerm 26 ref 258 ref appTerm 672 def 29 ref appTerm 673 def appTerm appTerm 674 def absTerm 675 def 29 ref appTerm 676 def betaConv "y" 1 ref var 677 def 19 ref 20 ref 23 ref 261 ref 677 ref varTerm 678 def appTerm appTerm 56 ref 26 ref 678 ref appTerm 679 def 29 ref appTerm 680 def appTerm 681 def 673 ref appTerm appTerm absTerm appTerm absTerm 682 def 36 ref appTerm 683 def betaConv 404 ref 14 ref 677 ref 19 ref 20 ref 23 ref 260 ref 404 ref varTerm 684 def appTerm 685 def 678 ref appTerm 686 def appTerm 687 def 681 ref 26 ref 684 ref appTerm 688 def 29 ref appTerm 689 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 690 def 258 ref appTerm 691 def betaConv nil 14 ref 690 ref appTerm 692 def axiom 693 def nil 346 ref 692 remove nil cons cons 694 def 347 ref 691 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 690 ref nil cons cons 695 def 404 ref 258 ref nil cons cons nil cons 696 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 682 ref appTerm nil cons cons 347 ref 683 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 682 remove nil cons cons 417 ref cons nil cons cons 414 ref subst eqMp eqMp 697 def nil 346 ref 19 ref 675 ref appTerm nil cons cons 698 def 347 ref 676 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 675 ref nil cons cons 699 def "x" 16 ref var 700 def 29 ref nil cons 701 def cons nil cons 702 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 674 ref nil cons 703 def cons 669 ref cons nil cons cons 403 ref subst proveHyp 20 ref 23 ref 259 ref appTerm 704 def 56 ref 673 ref appTerm 705 def "Data.Bool.cond" const 706 def 0 ref 2 ref 22 ref nil cons cons opType constTerm 707 def 30 ref appTerm 708 def 26 ref 255 ref appTerm 709 def 29 ref appTerm 710 def appTerm 711 def 26 ref 234 ref appTerm 712 def 29 ref appTerm 713 def appTerm 714 def appTerm appTerm 715 def absTerm 716 def 29 ref appTerm 717 def betaConv "z" 1 ref var 718 def 19 ref 20 ref 23 ref 257 remove 718 ref varTerm 719 def appTerm appTerm 56 ref 26 ref 719 ref appTerm 29 ref appTerm appTerm 720 def 714 remove appTerm appTerm absTerm appTerm absTerm 721 def 258 ref appTerm 722 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 256 ref 678 ref appTerm 719 ref appTerm appTerm 720 ref 711 ref 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 723 def 234 ref appTerm 724 def betaConv 404 ref 14 ref 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 245 ref 684 ref appTerm 678 ref appTerm 719 ref appTerm appTerm 720 ref 708 ref 689 ref appTerm 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 725 def 255 ref appTerm 726 def betaConv "s" 1 ref var 727 def 14 ref 404 ref 14 ref 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 244 ref 727 ref varTerm 728 def appTerm 729 def 684 ref appTerm 678 ref appTerm 719 ref appTerm 730 def appTerm 720 ref 707 ref 26 ref 728 ref appTerm 29 ref appTerm 731 def appTerm 689 ref appTerm 680 ref appTerm appTerm 732 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 733 def 27 ref appTerm 734 def betaConv nil 14 ref 733 ref appTerm 735 def axiom nil 346 ref 735 remove nil cons cons 347 ref 734 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 733 remove nil cons cons 406 ref cons nil cons cons 414 ref subst eqMp eqMp 736 def nil 346 ref 14 ref 725 ref appTerm nil cons cons 737 def 347 ref 726 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 725 ref nil cons cons 738 def 404 ref 255 ref nil cons 739 def cons 740 def nil cons 741 def cons nil cons cons 414 ref subst eqMp eqMp 742 def nil 346 ref 14 ref 723 ref appTerm nil cons cons 743 def 347 ref 724 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 723 ref nil cons cons 744 def 404 ref 234 ref nil cons cons nil cons 745 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 721 ref appTerm nil cons cons 347 ref 722 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 721 remove nil cons cons 696 ref cons nil cons cons 414 ref subst eqMp eqMp 746 def nil 346 ref 19 ref 716 ref appTerm nil cons cons 747 def 347 ref 717 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 716 ref nil cons cons 748 def 702 ref cons nil cons cons 414 ref subst eqMp eqMp 749 def nil 346 ref 715 remove nil cons cons 750 def 347 ref 23 ref 674 remove appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 653 ref cons nil cons nil cons cons 82 ref subst 259 remove assume eqMp appThm 751 def 705 ref refl 752 def 707 ref refl 753 def nil 77 ref 424 ref cons nil cons nil cons cons 754 def 82 ref subst 755 def 30 ref assume eqMp 756 def appThm 20 ref 38 ref 710 ref appTerm 757 def absTerm 758 def 29 ref appTerm 759 def betaConv nil 19 ref 758 ref appTerm 760 def axiom nil 346 ref 760 remove nil cons cons 347 ref 759 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 758 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 757 ref nil cons cons 347 ref 56 ref 710 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 379 ref 710 ref nil cons 761 def cons nil cons nil cons cons nil 346 ref 663 ref nil cons 762 def cons 347 ref 56 ref 384 ref appTerm 664 ref appTerm nil cons 763 def cons nil cons cons nil cons cons 764 def 362 ref subst 764 remove 412 ref subst nil 346 ref 384 ref nil cons 765 def cons 766 def 669 ref cons nil cons cons 362 ref 412 ref 56 ref 348 ref appTerm 350 ref appTerm 767 def assume 768 def 375 remove eqMp eqMp 396 remove deductAntisym eqMp 769 def nil 346 ref 351 ref nil cons 770 def cons 771 def 347 ref 23 ref 350 ref appTerm 772 def 348 ref appTerm nil cons 773 def cons nil cons cons nil cons cons 412 ref subst proveHyp 772 ref refl 768 remove appThm sym nil 346 ref 376 ref cons 774 def 347 ref 376 ref cons nil cons cons nil cons cons 775 def 362 ref subst 775 remove 412 ref subst 377 remove eqMp nil 379 ref 376 ref cons 382 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 774 ref 347 ref 374 ref cons nil cons cons nil cons cons 403 ref subst nil 379 ref 770 ref cons 776 def 381 ref 773 remove cons nil cons cons nil cons cons 777 def 428 ref subst eqMp 403 ref 777 remove 395 ref subst eqMp deductAntisym deductAntisym 778 def subst 666 remove 663 remove assume eqMp nil 346 ref 23 ref 384 ref appTerm 779 def 664 ref appTerm nil cons cons 347 ref 23 ref 664 ref appTerm 780 def 384 ref appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 668 ref cons 347 ref 765 ref cons nil cons cons nil cons cons 781 def 362 ref subst 781 remove 412 ref subst 346 ref 348 ref absTerm 782 def 384 ref appTerm 783 def betaConv nil 56 ref 664 ref appTerm 784 def 7 ref 369 remove constTerm 785 def 782 ref appTerm 786 def appTerm axiom 664 ref assume eqMp nil 346 ref 786 remove nil cons cons 347 ref 783 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 3 ref cons nil cons 787 def "P" 21 ref var 788 def 782 remove nil cons cons "x" 2 ref var 789 def 765 ref cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 790 def eqMp nil 379 ref 668 ref cons 381 ref 765 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 762 remove cons 381 ref 763 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp 791 def subst eqMp 792 def appThm 713 ref refl 793 def appThm nil "t2" 2 ref var 794 def 713 ref nil cons cons 795 def "t1" 2 ref var 796 def 668 ref cons nil cons 797 def cons nil cons cons 787 ref 53 ref cons 798 def "t2" 57 ref var 799 def 55 ref 0 ref 57 ref 58 ref nil cons 800 def cons opType constTerm 801 def 706 ref 0 ref 2 ref 0 ref 57 ref 0 ref 57 ref 57 ref nil cons 802 def cons opType nil cons cons opType nil cons cons opType constTerm 803 def 67 ref appTerm "t1" 57 ref var 804 def varTerm 805 def appTerm 799 ref varTerm 806 def appTerm appTerm 805 ref appTerm absTerm 807 def 806 ref appTerm 808 def betaConv 804 ref 60 ref 807 ref appTerm 809 def absTerm 810 def 805 ref appTerm 811 def betaConv nil 60 ref 810 ref appTerm 812 def axiom nil 346 ref 812 remove nil cons cons 347 ref 811 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 802 ref cons nil cons 813 def 61 ref 810 remove nil cons cons 66 ref 805 ref nil cons cons nil cons 814 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 809 remove nil cons cons 347 ref 808 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 807 remove nil cons cons 66 ref 806 ref nil cons cons nil cons 815 def cons nil cons cons 414 ref subst eqMp eqMp 816 def subst 817 def subst trans appThm nil 77 ref 673 ref nil cons cons nil cons nil cons cons 818 def 77 ref 56 ref 79 remove 664 ref appTerm 819 def appTerm 38 ref 78 ref appTerm 820 def appTerm absTerm 821 def 78 ref appTerm 822 def betaConv nil 785 ref 821 ref appTerm 823 def axiom nil 346 ref 823 remove nil cons cons 347 ref 822 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 821 remove nil cons cons 789 ref 78 ref nil cons 824 def cons nil cons 825 def cons nil cons cons 414 ref subst eqMp eqMp 826 def subst trans appThm nil 77 ref 38 ref 673 ref appTerm 827 def nil cons cons nil cons nil cons cons 828 def 77 ref 56 ref 23 ref 67 ref appTerm 829 def 78 ref appTerm appTerm 78 ref appTerm absTerm 830 def 78 ref appTerm 831 def betaConv nil 785 ref 830 ref appTerm 832 def axiom nil 346 ref 832 remove nil cons cons 347 ref 831 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 830 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 833 def subst trans appThm nil 77 ref 703 remove cons nil cons nil cons cons 77 ref 56 ref 23 ref 78 ref appTerm 834 def 664 ref appTerm appTerm 820 ref appTerm absTerm 835 def 78 ref appTerm 836 def betaConv nil 785 ref 835 ref appTerm 837 def axiom nil 346 ref 837 remove nil cons cons 347 ref 836 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 835 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 838 def subst 38 ref refl 839 def 96 ref nil 77 ref 658 remove cons nil cons nil cons cons 82 ref subst 262 remove assume eqMp appThm 840 def 383 ref nil 77 ref 661 remove cons nil cons nil cons cons 841 def 82 ref subst 40 remove assume eqMp appThm 673 ref refl appThm 818 ref 77 ref 56 ref 56 ref 67 ref appTerm 842 def 78 ref appTerm appTerm 78 ref appTerm absTerm 843 def 78 ref appTerm 844 def betaConv nil 785 ref 843 ref appTerm 845 def axiom nil 346 ref 845 remove nil cons cons 347 ref 844 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 843 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 846 def subst trans appThm 818 remove 833 ref subst trans appThm trans appThm 828 remove nil 77 ref 834 ref 78 ref appTerm 847 def nil cons cons nil cons nil cons cons 82 ref subst 77 ref 847 remove absTerm 848 def 78 ref appTerm 849 def betaConv nil 785 ref 848 ref appTerm 850 def axiom nil 346 ref 850 remove nil cons cons 347 ref 849 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 848 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp 851 def subst trans sym 81 ref eqMp eqMp eqMp eqMp nil 662 remove 381 ref 668 ref cons nil cons 852 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp 853 def proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 580 remove cons 854 def 381 ref 421 remove cons nil cons 855 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 576 remove cons 856 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 299 ref 415 ref varTerm 857 def appTerm appTerm 858 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 300 remove appTerm 859 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 299 remove nil cons cons 860 def 855 ref cons nil cons cons nil 346 ref 60 ref 66 ref 23 ref 409 ref appTerm 861 def 386 ref appTerm absTerm 862 def appTerm 863 def nil cons 864 def cons 865 def 347 ref 23 ref 98 ref 59 ref constTerm 866 def 62 ref appTerm 867 def appTerm 868 def 386 ref appTerm nil cons 869 def cons nil cons cons nil cons cons 870 def 362 ref subst 870 remove 412 ref subst nil 346 ref 867 ref nil cons 871 def cons 872 def 347 ref 386 ref nil cons 873 def cons nil cons 874 def cons nil cons cons 875 def 362 ref subst 875 remove 412 ref subst nil 865 ref 874 ref cons nil cons cons 876 def 403 ref subst 347 ref 23 ref 60 ref 66 ref 861 remove 350 ref appTerm absTerm appTerm appTerm 350 ref appTerm absTerm 877 def 386 ref appTerm 878 def betaConv nil 872 remove 347 ref 785 ref 877 ref appTerm 879 def nil cons 880 def cons nil cons cons nil cons cons 881 def 403 ref subst 56 ref 867 ref appTerm 882 def refl 64 ref 785 ref 347 ref 23 ref 60 ref 66 ref 23 ref 65 ref 408 ref appTerm 883 def appTerm 350 ref appTerm absTerm appTerm 884 def appTerm 350 ref appTerm absTerm appTerm absTerm 885 def 62 ref appTerm betaConv appThm nil 72 ref 866 ref appTerm 885 remove appTerm axiom 73 ref appThm eqMp 886 def nil 346 ref 882 remove 879 ref appTerm nil cons cons 347 ref 868 remove 879 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 881 remove nil 346 ref 767 remove nil cons 887 def cons 347 ref 770 ref cons nil cons cons nil cons cons 888 def 362 ref subst 888 remove 412 ref subst 769 remove eqMp nil 379 ref 887 remove cons 381 ref 770 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp 889 def subst eqMp eqMp nil 346 ref 880 remove cons 347 ref 878 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 877 remove nil cons cons 789 ref 873 ref cons nil cons cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 871 ref cons 890 def 381 ref 873 ref cons nil cons 891 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 864 remove cons 892 def 381 ref 869 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp 893 def subst eqMp eqMp eqMp nil 379 ref 568 remove cons 894 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 301 ref 684 ref appTerm appTerm 895 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 302 remove appTerm 896 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 301 remove nil cons cons 897 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 560 remove cons 898 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 303 ref 857 ref appTerm appTerm 899 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 304 remove appTerm 900 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 303 remove nil cons cons 901 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 552 remove cons 902 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 305 ref 684 ref appTerm appTerm 903 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 306 remove appTerm 904 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 305 remove nil cons cons 905 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 544 remove cons 906 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 307 ref 684 ref appTerm appTerm 907 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 308 remove appTerm 908 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 307 remove nil cons cons 909 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 536 remove cons 910 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 309 ref 857 ref appTerm appTerm 911 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 310 remove appTerm 912 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 309 remove nil cons cons 913 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 528 remove cons 914 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 311 ref 684 ref appTerm appTerm 915 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 312 remove appTerm 916 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 311 remove nil cons cons 917 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 520 remove cons 918 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 313 ref 857 ref appTerm appTerm 919 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 314 remove appTerm 920 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 313 remove nil cons cons 921 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 512 remove cons 922 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 315 ref 684 ref appTerm appTerm 923 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 316 remove appTerm 924 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 315 remove nil cons cons 925 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 504 remove cons 926 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 317 ref 684 ref appTerm appTerm 927 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 318 remove appTerm 928 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 317 remove nil cons cons 929 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 496 remove cons 930 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 319 ref 684 ref appTerm appTerm 931 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 320 remove appTerm 932 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 319 remove nil cons cons 933 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 488 remove cons 934 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 321 ref 684 ref appTerm appTerm 935 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 322 remove appTerm 936 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 321 remove nil cons cons 937 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 480 remove cons 938 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 323 ref 857 ref appTerm appTerm 939 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 324 remove appTerm 940 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 323 remove nil cons cons 941 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 472 remove cons 942 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 325 ref 857 ref appTerm appTerm 943 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 326 remove appTerm 944 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 325 remove nil cons cons 945 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 464 remove cons 946 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 327 ref 857 ref appTerm appTerm 947 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 328 remove appTerm 948 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 327 remove nil cons cons 949 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 456 remove cons 950 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 329 ref 857 ref appTerm appTerm 951 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 330 remove appTerm 952 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 329 remove nil cons cons 953 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 448 remove cons 954 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 331 ref 857 ref appTerm appTerm 955 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 332 remove appTerm 956 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 331 remove nil cons cons 957 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 440 remove cons 958 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 333 ref 857 ref appTerm appTerm 959 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 334 remove appTerm 960 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 333 remove nil cons cons 961 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 432 remove cons 962 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 335 ref 700 ref varTerm 963 def appTerm appTerm 964 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 336 remove appTerm 965 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 335 remove nil cons cons 966 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 420 remove cons 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 967 def eqMp absThm eqMp eqMp absThm eqMp nil 14 ref 49 remove appTerm thm nil 5 ref 6 ref 11 ref 12 ref 14 ref 15 ref 19 ref 20 ref 23 ref 31 ref "Hardware.counterPulse" const 33 remove constTerm 27 ref appTerm 34 ref appTerm 36 ref appTerm 968 def appTerm 969 def appTerm 41 ref appTerm 970 def absTerm 971 def appTerm 972 def absTerm 973 def appTerm 974 def absTerm 975 def appTerm 976 def absTerm 977 def nil cons cons nil cons nil cons cons 76 ref subst 6 ref nil 77 ref 976 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 975 remove nil cons cons nil cons nil cons cons 87 ref subst 12 ref nil 77 ref 974 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 973 remove nil cons cons nil cons nil cons cons 76 ref subst 15 ref nil 77 ref 972 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 971 remove nil cons cons nil cons nil cons cons 95 ref subst 20 ref nil 77 ref 970 remove nil cons cons nil cons nil cons cons 82 ref subst 96 ref 97 ref 15 ref 56 ref 968 ref appTerm 108 ref "ds" 1 ref var 978 def 24 ref 35 remove 978 ref varTerm 979 def appTerm 980 def appTerm "Hardware.pulse" const 215 ref constTerm 981 def 979 ref appTerm 982 def 36 ref appTerm 983 def appTerm 984 def absTerm 985 def appTerm 986 def appTerm absTerm 987 def 36 ref appTerm 988 def betaConv 12 ref 14 ref 987 ref appTerm 989 def absTerm 990 def 34 ref appTerm 991 def betaConv 6 ref 11 ref 990 ref appTerm 992 def absTerm 993 def 27 ref appTerm 994 def betaConv nil 14 ref 993 ref appTerm 995 def axiom nil 346 ref 995 remove nil cons cons 347 ref 994 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 993 remove nil cons cons 406 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 992 remove nil cons cons 347 ref 991 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 990 remove nil cons cons 416 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 989 remove nil cons cons 347 ref 988 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 987 remove nil cons cons 417 ref cons nil cons cons 414 ref subst eqMp eqMp 996 def appThm appThm 419 remove appThm sym nil 346 ref 31 ref 986 ref appTerm nil cons 997 def cons 422 ref cons nil cons cons 998 def 362 ref subst 998 remove 412 ref subst nil 425 ref 381 ref 986 ref nil cons 999 def cons nil cons cons nil cons cons 1000 def 395 ref subst 1000 remove 428 ref subst nil 346 ref 999 remove cons 1001 def 422 ref cons nil cons cons 403 ref subst nil 5 ref 978 ref 23 ref 985 ref 979 ref appTerm 1002 def appTerm 1003 def 41 ref appTerm 1004 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 978 ref nil 77 ref 1004 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1002 ref nil cons 1005 def cons 1006 def 422 ref cons nil cons cons 1007 def 362 ref subst 1007 remove 412 ref subst 1002 ref betaConv 1002 remove assume eqMp 1008 def nil 346 ref 984 remove nil cons 1009 def cons 1010 def 422 ref cons nil cons cons 1011 def 403 ref subst proveHyp 1011 ref 362 ref subst 1011 remove 412 ref subst nil 379 ref 980 ref nil cons 1012 def cons 381 ref 983 ref nil cons 1013 def cons nil cons cons nil cons cons 1014 def 395 ref subst 1015 def 1014 remove 428 ref subst 1016 def 24 ref refl 1017 def nil 77 ref 1013 remove cons nil cons nil cons cons 82 ref subst 983 ref assume eqMp 1018 def appThm 38 ref 26 ref 979 ref appTerm 1019 def 29 ref appTerm appTerm 1020 def refl appThm nil 77 ref 1020 ref nil cons 1021 def cons nil cons nil cons cons 77 ref 56 ref 24 ref 67 ref appTerm 1022 def 78 ref appTerm appTerm 78 ref appTerm absTerm 1023 def 78 ref appTerm 1024 def betaConv nil 785 ref 1023 ref appTerm 1025 def axiom nil 346 ref 1025 remove nil cons cons 347 ref 1024 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 1023 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 1026 def subst trans sym 1017 ref 756 remove appThm nil 77 ref 1012 remove cons nil cons nil cons cons 82 ref subst 980 ref assume eqMp 1027 def appThm nil 77 ref 67 ref nil cons 1028 def cons nil cons nil cons cons 1029 def 1026 ref subst 1030 def trans sym 81 ref eqMp nil 346 ref 31 ref 980 ref appTerm 1031 def nil cons cons 347 ref 1021 remove cons nil cons cons nil cons cons 403 ref subst proveHyp 20 ref 23 ref 1031 remove appTerm 1020 ref appTerm absTerm 1032 def 29 ref appTerm 1033 def betaConv 45 remove 979 ref appTerm 1034 def betaConv 967 remove nil 346 ref 88 remove cons 347 ref 1034 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 89 remove 404 ref 979 ref nil cons cons nil cons 1035 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 1032 ref appTerm nil cons cons 347 ref 1033 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1032 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 346 ref 24 ref 983 ref appTerm 1020 ref appTerm 1036 def nil cons cons 422 ref cons nil cons cons 403 ref subst proveHyp 20 ref 23 ref 1036 remove appTerm 41 ref appTerm absTerm 1037 def 29 ref appTerm 1038 def betaConv 677 ref 19 ref 20 ref 23 ref 24 ref 982 remove 678 ref appTerm 1039 def appTerm 1020 ref appTerm appTerm 38 ref 680 ref appTerm 1040 def appTerm absTerm appTerm absTerm 1041 def 36 ref appTerm 1042 def betaConv 404 ref 14 ref 677 ref 19 ref 20 ref 23 ref 24 ref 981 remove 684 ref appTerm 678 ref appTerm 1043 def appTerm 38 ref 689 ref appTerm 1044 def appTerm appTerm 1040 remove appTerm absTerm appTerm absTerm appTerm absTerm 1045 def 979 ref appTerm 1046 def betaConv nil 14 ref 1045 ref appTerm 1047 def axiom nil 346 ref 1047 remove nil cons cons 347 ref 1046 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1045 remove nil cons cons 1035 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 1041 ref appTerm nil cons cons 347 ref 1042 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1041 remove nil cons cons 417 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 1037 ref appTerm nil cons cons 347 ref 1038 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1037 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 1009 remove cons 1048 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 1005 remove cons 1049 def 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 985 ref 684 ref appTerm appTerm 1050 def 41 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 986 remove appTerm 1051 def 41 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 985 remove nil cons cons 1052 def 855 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 997 remove cons 855 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp 1053 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 14 ref 977 remove appTerm thm nil 5 ref "w" 1 ref var 1054 def 19 ref "d" 16 ref var 1055 def 14 ref "wd" 1 ref var 1056 def 19 ref 20 ref 23 ref "Hardware.pipe" const 0 ref 1 ref 166 remove cons opType constTerm 1054 ref varTerm 1057 def appTerm 1055 ref varTerm 1058 def appTerm 1056 ref varTerm 1059 def appTerm 1060 def appTerm 56 ref 26 ref 1059 ref appTerm 1061 def 130 ref 29 ref appTerm 1062 def 1058 ref appTerm 1063 def appTerm 1064 def appTerm 1065 def 26 ref 1057 ref appTerm 1066 def 29 ref appTerm 1067 def appTerm 1068 def appTerm 1069 def absTerm 1070 def appTerm 1071 def absTerm 1072 def appTerm 1073 def absTerm 1074 def appTerm 1075 def absTerm 1076 def nil cons cons nil cons nil cons cons 76 ref subst 1054 ref nil 77 ref 1075 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 1074 remove nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 1073 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 1072 remove nil cons cons nil cons nil cons cons 76 ref subst 1056 ref nil 77 ref 1071 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 1070 remove nil cons cons nil cons nil cons cons 95 ref subst 20 ref nil 77 ref 1069 remove nil cons cons nil cons nil cons cons 82 ref subst 96 ref 1056 remove 56 ref 1060 remove appTerm 101 ref 415 ref 108 ref "x0" 1 ref var 1077 def 24 ref 122 ref 123 ref 857 ref appTerm 1078 def appTerm 1079 def 130 ref 1058 ref appTerm 1080 def 135 ref appTerm 1081 def appTerm 1082 def appTerm 24 ref 167 ref 857 ref appTerm 1083 def 1058 ref appTerm 1077 ref varTerm 1084 def appTerm 1085 def appTerm 24 ref "Hardware.Bus.pipe" const 0 ref 1 ref 173 remove cons opType constTerm 1057 ref appTerm 857 ref appTerm 1086 def appTerm 1087 def 260 ref 1084 ref appTerm 1088 def 1059 ref appTerm 1089 def appTerm 1090 def appTerm 1091 def appTerm 1092 def absTerm 1093 def appTerm 1094 def absTerm 1095 def appTerm 1096 def appTerm absTerm 1097 def 1059 ref appTerm 1098 def betaConv 1055 ref 14 ref 1097 ref appTerm 1099 def absTerm 1100 def 1058 ref appTerm 1101 def betaConv 1054 ref 19 ref 1100 ref appTerm 1102 def absTerm 1103 def 1057 ref appTerm 1104 def betaConv nil 14 ref 1103 ref appTerm 1105 def axiom nil 346 ref 1105 remove nil cons cons 347 ref 1104 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1103 remove nil cons cons 404 ref 1057 ref nil cons cons nil cons 1106 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1102 remove nil cons cons 347 ref 1101 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1100 remove nil cons cons 700 ref 1058 ref nil cons 1107 def cons nil cons 1108 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1099 remove nil cons cons 347 ref 1098 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1097 remove nil cons cons 404 ref 1059 ref nil cons cons nil cons 1109 def cons nil cons cons 414 ref subst eqMp eqMp appThm 1068 ref refl 1110 def appThm sym nil 83 ref 415 ref 23 ref 1095 ref 857 ref appTerm 1111 def appTerm 1068 ref appTerm 1112 def absTerm 1113 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 1112 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1111 ref nil cons 1114 def cons 347 ref 1068 ref nil cons 1115 def cons nil cons 1116 def cons nil cons cons 1117 def 362 ref subst 1117 remove 412 ref subst 1111 ref betaConv 1111 remove assume eqMp nil 346 ref 1094 ref nil cons cons 1116 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 1077 ref 23 ref 1093 ref 1084 ref appTerm 1118 def appTerm 1068 ref appTerm 1119 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 1077 ref nil 77 ref 1119 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1118 ref nil cons 1120 def cons 1116 ref cons nil cons cons 1121 def 362 ref subst 1121 remove 412 ref subst 1118 ref betaConv 1118 remove assume eqMp nil 346 ref 1092 remove nil cons 1122 def cons 1116 ref cons nil cons cons 1123 def 403 ref subst proveHyp 1123 ref 362 ref subst 1123 remove 412 ref subst nil 379 ref 1082 remove nil cons cons 381 ref 1091 remove nil cons cons nil cons cons nil cons cons 428 ref subst nil 379 ref 1085 ref nil cons 1124 def cons 381 ref 1090 remove nil cons cons nil cons cons nil cons cons 1125 def 395 ref subst 1125 remove 428 ref subst nil 379 ref 1086 ref nil cons 1126 def cons 381 ref 1089 ref nil cons 1127 def cons nil cons cons nil cons cons 1128 def 395 ref subst 1128 remove 428 ref subst 20 ref 23 ref 1089 ref appTerm 1129 def 56 ref 1061 remove 29 ref appTerm appTerm 26 ref 1084 ref appTerm 1130 def 29 ref appTerm 1131 def appTerm appTerm absTerm 1132 def 1063 ref appTerm 1133 def betaConv 677 ref 19 ref 20 ref 23 ref 1088 remove 678 ref appTerm appTerm 681 ref 1131 ref appTerm appTerm absTerm appTerm absTerm 1134 def 1059 remove appTerm 1135 def betaConv 690 ref 1084 ref appTerm 1136 def betaConv 693 ref nil 694 ref 347 ref 1136 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 695 ref 404 ref 1084 ref nil cons 1137 def cons nil cons 1138 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 1134 ref appTerm nil cons cons 347 ref 1135 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1134 remove nil cons cons 1109 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 1132 ref appTerm nil cons cons 347 ref 1133 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1132 remove nil cons cons 700 ref 1063 ref nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1129 remove 1065 remove 1130 remove 1063 remove appTerm 1139 def appTerm 1140 def appTerm nil cons cons 1116 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 1127 remove cons nil cons nil cons cons 82 ref subst 1089 remove assume eqMp appThm 1140 ref refl appThm nil 77 ref 1140 ref nil cons 1141 def cons nil cons nil cons cons 833 ref subst trans appThm 1110 remove appThm sym nil 346 ref 1141 ref cons 1116 remove cons nil cons cons 1142 def 362 ref subst 1142 remove 412 ref subst 56 ref "_33108" 2 ref var 1143 def 56 ref 1143 remove varTerm appTerm 1067 ref appTerm absTerm 1144 def 1064 remove appTerm 1145 def appTerm refl 1144 remove 1139 ref appTerm betaConv appThm 383 ref 1145 remove betaConv appThm 56 ref 1139 remove appTerm 1067 ref appTerm 1146 def refl appThm trans "_33104" 2 ref var 1147 def 56 ref 1147 remove varTerm appTerm 1067 ref appTerm absTerm 1148 def refl 1149 def 1140 remove assume appThm eqMp sym 415 ref 1087 ref 1085 ref appTerm absTerm 1150 def 857 ref appTerm betaConv sym 1017 ref nil 77 ref 1126 remove cons nil cons nil cons cons 82 ref subst 1086 ref assume eqMp appThm nil 77 ref 1124 remove cons nil cons nil cons cons 82 ref subst 1085 remove assume eqMp appThm 1030 ref trans sym 81 ref eqMp eqMp 85 ref 83 ref 1150 ref nil cons cons 415 ref 857 ref nil cons cons nil cons 1151 def cons nil cons cons 886 remove sym nil 788 ref 381 ref 23 ref 863 remove appTerm 386 ref appTerm 1152 def absTerm nil cons cons nil cons nil cons cons 798 ref 75 ref subst 1153 def subst 381 ref nil 77 ref 1152 remove nil cons cons nil cons nil cons cons 82 ref subst 876 ref 362 ref subst 876 remove 412 ref subst nil 346 ref 410 remove cons 874 remove cons nil cons cons 403 ref subst 862 ref 408 ref appTerm 1154 def betaConv nil 865 remove 347 ref 1154 remove nil cons cons nil cons cons nil cons cons 403 ref subst 813 ref 61 ref 862 remove nil cons cons 66 ref 408 ref nil cons 1155 def cons nil cons 1156 def cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 892 remove 891 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 1157 def subst proveHyp nil 346 ref 101 ref 1150 remove appTerm nil cons cons 347 ref 1146 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil "i" 16 ref var 1158 def 1107 ref cons 1159 def "xi" 1 ref var 1160 def 1137 remove cons nil cons cons nil cons cons 20 ref 23 ref 101 ref 415 ref 1087 remove 1083 ref 1158 ref varTerm 1161 def appTerm 1162 def 1160 ref varTerm 1163 def appTerm 1164 def appTerm 1165 def absTerm 1166 def appTerm 1167 def appTerm 1168 def 56 ref 26 ref 1163 ref appTerm 1169 def 1062 ref 1161 ref appTerm 1170 def appTerm appTerm 1067 ref appTerm 1171 def appTerm 1172 def absTerm 1173 def 29 ref appTerm 1174 def betaConv 1054 ref 19 ref 1173 ref appTerm 1175 def absTerm 1176 def 1057 ref appTerm 1177 def betaConv 1158 ref 14 ref 1176 ref appTerm 1178 def absTerm 1179 def 1161 ref appTerm 1180 def betaConv 1160 ref 19 ref 1179 ref appTerm 1181 def absTerm 1182 def 1163 ref appTerm 1183 def betaConv nil 5 ref 1054 ref 11 ref 415 ref 19 ref 1158 ref 14 ref 1160 ref 19 ref 20 ref 23 ref 1165 ref appTerm 1171 ref appTerm 1184 def absTerm 1185 def appTerm 1186 def absTerm 1187 def appTerm 1188 def absTerm 1189 def appTerm 1190 def absTerm 1191 def appTerm 1192 def absTerm 1193 def nil cons cons 1194 def nil cons nil cons cons 76 ref subst 1054 ref nil 77 ref 1192 remove nil cons 1195 def cons nil cons nil cons cons 82 ref subst nil 83 ref 1191 ref nil cons cons 1196 def nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 1190 remove nil cons 1197 def cons nil cons nil cons cons 82 ref subst nil 90 ref 1189 ref nil cons cons 1198 def nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 1188 remove nil cons 1199 def cons nil cons nil cons cons 82 ref subst nil 5 ref 1187 ref nil cons cons 1200 def nil cons nil cons cons 76 ref subst 1160 ref nil 77 ref 1186 remove nil cons 1201 def cons nil cons nil cons cons 82 ref subst nil 90 ref 1185 ref nil cons cons 1202 def nil cons nil cons cons 95 ref subst 20 ref nil 77 ref 1184 remove nil cons cons nil cons nil cons cons 82 ref subst 96 ref 1017 ref 415 ref 56 ref 1086 remove appTerm 99 ref 100 ref 101 ref "xp" 8 ref var 1203 def 108 ref 1077 ref 101 ref "x1" 8 ref var 1204 def 101 ref "x2" 8 ref var 1205 def 24 ref 1079 ref 136 ref appTerm 1206 def appTerm 24 ref 122 ref 123 ref 1203 ref varTerm 1207 def appTerm 1208 def appTerm 131 ref appTerm 1209 def appTerm 24 ref 1083 ref 134 ref appTerm 1210 def 1084 ref appTerm 1211 def appTerm 24 ref 174 ref 857 ref appTerm 1212 def 134 ref appTerm 1213 def 131 ref appTerm 1214 def 1204 ref varTerm 1215 def appTerm 1216 def appTerm 24 ref 1212 ref 135 ref appTerm 1217 def 131 ref appTerm 1218 def 1205 ref varTerm 1219 def appTerm 1220 def appTerm 24 ref 260 ref 1057 ref appTerm 1221 def 1084 ref appTerm 1222 def appTerm 24 ref "Hardware.Bus.connect" const 219 ref constTerm 1223 def 1207 ref appTerm 1224 def 1219 ref appTerm 1225 def appTerm 1226 def 263 ref 1215 ref appTerm 1227 def 1207 ref appTerm 1228 def appTerm 1229 def appTerm 1230 def appTerm 1231 def appTerm 1232 def appTerm 1233 def appTerm 1234 def appTerm 1235 def absTerm 1236 def appTerm 1237 def absTerm 1238 def appTerm 1239 def absTerm 1240 def appTerm 1241 def absTerm 1242 def appTerm 1243 def absTerm 1244 def appTerm 1245 def appTerm absTerm 1246 def 857 ref appTerm 1247 def betaConv 1054 ref 11 ref 1246 ref appTerm 1248 def absTerm 1249 def 1057 ref appTerm 1250 def betaConv nil 14 ref 1249 ref appTerm 1251 def axiom nil 346 ref 1251 remove nil cons cons 347 ref 1250 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1249 remove nil cons cons 1106 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1248 remove nil cons cons 347 ref 1247 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1246 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp appThm 1164 ref refl appThm appThm 1171 ref refl appThm sym nil 346 ref 24 ref 1245 ref appTerm 1164 ref appTerm nil cons 1252 def cons 347 ref 1171 ref nil cons 1253 def cons nil cons 1254 def cons nil cons cons 1255 def 362 ref subst 1255 remove 412 ref subst nil 379 ref 1245 ref nil cons 1256 def cons 381 ref 1164 ref nil cons 1257 def cons nil cons cons nil cons cons 1258 def 395 ref subst 1258 remove 428 ref subst nil 346 ref 1256 remove cons 1254 ref cons nil cons cons 403 ref subst nil 90 ref 100 ref 23 ref 1244 ref 131 ref appTerm 1259 def appTerm 1171 ref appTerm 1260 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 100 ref nil 77 ref 1260 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1259 ref nil cons 1261 def cons 1254 ref cons nil cons cons 1262 def 362 ref subst 1262 remove 412 ref subst 1259 ref betaConv 1259 remove assume eqMp nil 346 ref 1243 ref nil cons cons 1254 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1203 ref 23 ref 1242 ref 1207 ref appTerm 1263 def appTerm 1171 ref appTerm 1264 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1203 remove nil 77 ref 1264 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1263 ref nil cons 1265 def cons 1254 ref cons nil cons cons 1266 def 362 ref subst 1266 remove 412 ref subst 1263 ref betaConv 1263 remove assume eqMp nil 346 ref 1241 ref nil cons cons 1254 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 1077 ref 23 ref 1240 ref 1084 ref appTerm 1267 def appTerm 1171 ref appTerm 1268 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 1077 remove nil 77 ref 1268 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1267 ref nil cons 1269 def cons 1254 ref cons nil cons cons 1270 def 362 ref subst 1270 remove 412 ref subst 1267 ref betaConv 1267 remove assume eqMp nil 346 ref 1239 ref nil cons cons 1254 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1204 ref 23 ref 1238 ref 1215 ref appTerm 1271 def appTerm 1171 ref appTerm 1272 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1204 remove nil 77 ref 1272 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1271 ref nil cons 1273 def cons 1254 ref cons nil cons cons 1274 def 362 ref subst 1274 remove 412 ref subst 1271 ref betaConv 1271 remove assume eqMp nil 346 ref 1237 ref nil cons cons 1254 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1205 ref 23 ref 1236 ref 1219 ref appTerm 1275 def appTerm 1171 ref appTerm 1276 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1205 remove nil 77 ref 1276 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1275 ref nil cons 1277 def cons 1254 ref cons nil cons cons 1278 def 362 ref subst 1278 remove 412 ref subst 1275 ref betaConv 1275 remove assume eqMp nil 346 ref 1235 remove nil cons 1279 def cons 1254 ref cons nil cons cons 1280 def 403 ref subst proveHyp 1280 ref 362 ref subst 1280 remove 412 ref subst nil 379 ref 1206 ref nil cons cons 381 ref 1234 remove nil cons cons nil cons cons nil cons cons 1281 def 395 ref subst 1281 remove 428 ref subst nil 379 ref 1209 ref nil cons cons 381 ref 1233 remove nil cons cons nil cons cons nil cons cons 1282 def 395 ref subst 1282 remove 428 ref subst nil 379 ref 1211 ref nil cons 1283 def cons 381 ref 1232 remove nil cons cons nil cons cons nil cons cons 1284 def 395 ref subst 1284 remove 428 ref subst nil 379 ref 1216 ref nil cons 1285 def cons 381 ref 1231 remove nil cons cons nil cons cons nil cons cons 1286 def 395 ref subst 1286 remove 428 ref subst nil 379 ref 1220 ref nil cons 1287 def cons 381 ref 1230 remove nil cons cons nil cons cons nil cons cons 1288 def 395 ref subst 1288 remove 428 ref subst nil 379 ref 1222 ref nil cons 1289 def cons 381 ref 1229 remove nil cons cons nil cons cons nil cons cons 1290 def 395 ref subst 1290 remove 428 ref subst nil 379 ref 1225 ref nil cons 1291 def cons 381 ref 1228 ref nil cons 1292 def cons nil cons cons nil cons cons 1293 def 395 ref subst 1293 remove 428 ref subst nil 346 ref 1257 remove cons 1254 ref cons nil cons cons 403 ref subst 1160 ref 23 ref 1164 ref appTerm 1171 ref appTerm absTerm 1294 def 1163 ref appTerm 1295 def betaConv 1158 ref 14 ref 1294 ref appTerm 1296 def absTerm 1297 def 1161 ref appTerm 1298 def betaConv 1299 def nil 5 ref 1160 ref 23 ref 1210 ref 1163 ref appTerm 1300 def appTerm 56 ref 1169 ref 1062 ref 134 ref appTerm 1301 def appTerm appTerm 1067 ref appTerm 1302 def appTerm 1303 def absTerm 1304 def nil cons cons nil cons nil cons cons 76 ref subst 1160 ref nil 77 ref 1303 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1300 ref nil cons 1305 def cons 347 ref 1302 remove nil cons 1306 def cons nil cons cons nil cons cons 1307 def 362 ref subst 1307 remove 412 ref subst 383 ref 1169 ref refl nil "m" 16 ref var 1308 def 701 ref cons nil cons 1309 def nil cons cons 1308 ref 122 ref 130 ref 1308 ref varTerm 1310 def appTerm 1311 def 134 ref appTerm appTerm 1310 ref appTerm absTerm 1312 def 1310 ref appTerm 1313 def betaConv nil 19 ref 1312 ref appTerm 1314 def axiom nil 346 ref 1314 remove nil cons cons 347 ref 1313 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1312 remove nil cons cons 700 ref 1310 ref nil cons 1315 def cons nil cons 1316 def cons nil cons cons 414 ref subst eqMp eqMp 1317 def subst 1318 def appThm appThm 1067 ref refl appThm sym "w2" 1 ref var 1319 def 23 ref 24 ref 1300 ref appTerm 1320 def 1210 ref 1319 ref varTerm 1321 def appTerm 1322 def appTerm appTerm 55 ref 215 ref constTerm 1323 def 1163 ref appTerm 1324 def 1321 ref appTerm appTerm absTerm 1325 def 1084 ref appTerm 1326 def betaConv "w1" 1 ref var 1327 def 14 ref 1319 ref 23 ref 24 ref 1210 remove 1327 ref varTerm 1328 def appTerm appTerm 1322 remove appTerm appTerm 1323 ref 1328 ref appTerm 1321 ref appTerm 1329 def appTerm absTerm appTerm absTerm 1330 def 1163 ref appTerm 1331 def betaConv 1158 ref 14 ref 1327 ref 14 ref 1319 ref 23 ref 24 ref 1162 ref 1328 ref appTerm appTerm 1162 ref 1321 ref appTerm appTerm 1332 def appTerm 1329 ref appTerm absTerm 1333 def appTerm 1334 def absTerm 1335 def appTerm 1336 def absTerm 1337 def 134 ref appTerm 1338 def betaConv 415 ref 19 ref 1337 ref appTerm 1339 def absTerm 1340 def 857 ref appTerm 1341 def betaConv 1342 def nil 11 ref 1340 ref appTerm 1343 def axiom 1344 def nil 346 ref 1343 ref nil cons 1345 def cons 1346 def 347 ref 1341 remove nil cons cons nil cons cons nil cons cons 403 ref subst 1347 def proveHyp 85 ref 83 ref 1340 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst 1348 def eqMp eqMp nil 346 ref 1339 remove nil cons cons 1349 def 347 ref 1338 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1337 ref nil cons cons 1350 def 700 ref 134 ref nil cons 1351 def cons 1352 def nil cons 1353 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 1330 ref appTerm nil cons cons 347 ref 1331 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1330 remove nil cons cons 404 ref 1163 ref nil cons 1354 def cons nil cons 1355 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 1325 ref appTerm nil cons cons 347 ref 1326 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1325 remove nil cons cons 1138 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 1320 remove 1211 ref appTerm appTerm 1324 ref 1084 ref appTerm 1356 def appTerm nil cons cons 347 ref 56 ref 1169 ref 29 ref appTerm appTerm 1357 def 1067 ref appTerm 1358 def nil cons 1359 def cons nil cons 1360 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1017 ref nil 77 ref 1305 ref cons nil cons nil cons cons 82 ref subst 1300 remove assume eqMp appThm nil 77 ref 1283 remove cons nil cons nil cons cons 82 ref subst 1211 remove assume eqMp appThm 1030 ref trans appThm 1356 ref refl appThm nil 77 ref 1356 ref nil cons 1361 def cons nil cons nil cons cons 833 ref subst trans appThm 1358 remove refl appThm sym nil 346 ref 1361 ref cons 1360 remove cons nil cons cons 1362 def 362 ref subst 1362 remove 412 ref subst 56 ref "_33084" 1 ref var 1363 def 56 ref 26 ref 1363 remove varTerm appTerm 29 ref appTerm appTerm 1067 ref appTerm absTerm 1364 def 1163 ref appTerm 1365 def appTerm refl 1364 ref 1084 ref appTerm betaConv appThm 383 ref 1365 remove betaConv appThm 56 ref 1131 remove appTerm 1067 ref appTerm 1366 def refl 1367 def appThm trans 1364 remove refl 1356 remove assume appThm eqMp sym 20 ref 23 ref 1222 ref appTerm 1366 ref appTerm 1368 def absTerm 1369 def 29 ref appTerm 1370 def betaConv 677 ref 19 ref 20 ref 23 ref 1221 remove 678 ref appTerm appTerm 681 ref 1067 ref appTerm appTerm absTerm appTerm absTerm 1371 def 1084 remove appTerm 1372 def betaConv 690 ref 1057 ref appTerm 1373 def betaConv 693 ref nil 694 ref 347 ref 1373 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 695 ref 1106 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 1371 ref appTerm nil cons cons 347 ref 1372 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1371 remove nil cons cons 1138 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 1369 ref appTerm nil cons cons 347 ref 1370 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1369 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1368 remove nil cons cons 347 ref 1366 remove nil cons 1374 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 1289 remove cons nil cons nil cons cons 82 ref subst 1222 remove assume eqMp appThm 1367 ref appThm nil 77 ref 1374 remove cons nil cons nil cons cons 1375 def 833 ref subst trans appThm 1367 remove appThm 1375 remove 851 ref subst trans sym 81 ref eqMp eqMp eqMp eqMp nil 379 ref 1361 remove cons 381 ref 1359 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 1305 remove cons 381 ref 1306 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 1304 remove appTerm 1376 def nil cons cons 347 ref 19 ref 1158 ref 23 ref 1296 ref appTerm 14 ref 1160 ref 23 ref 1083 ref "Number.Natural.suc" const 127 ref constTerm 1377 def 1161 ref appTerm 1378 def appTerm 1379 def 1163 ref appTerm 1380 def appTerm 1381 def 56 ref 1169 ref 1062 ref 1378 ref appTerm 1382 def appTerm 1383 def appTerm 1384 def 1067 ref appTerm 1385 def appTerm 1386 def absTerm 1387 def appTerm 1388 def appTerm 1389 def absTerm 1390 def appTerm 1391 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 90 ref 1390 remove nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 1389 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1296 remove nil cons 1392 def cons 1393 def 347 ref 1388 remove nil cons 1394 def cons nil cons cons nil cons cons 1395 def 362 ref subst 1395 remove 412 ref subst nil 5 ref 1387 remove nil cons cons nil cons nil cons cons 76 ref subst 1160 ref nil 77 ref 1386 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1380 ref nil cons 1396 def cons 347 ref 1385 ref nil cons 1397 def cons nil cons 1398 def cons nil cons cons 1399 def 362 ref subst 1399 remove 412 ref subst 1054 ref 23 ref 1379 remove 1057 ref appTerm appTerm "Number.Natural.<" const 121 ref constTerm 1400 def 1378 ref appTerm 1401 def 1078 ref appTerm 1402 def appTerm absTerm 1403 def 1163 ref appTerm 1404 def betaConv 1158 ref 14 ref 1054 ref 23 ref 1162 ref 1057 ref appTerm 1405 def appTerm 1400 ref 1161 ref appTerm 1406 def 1078 ref appTerm 1407 def appTerm absTerm appTerm absTerm 1408 def 1378 ref appTerm 1409 def betaConv 415 ref 19 ref 1408 ref appTerm 1410 def absTerm 1411 def 857 ref appTerm 1412 def betaConv nil 11 ref 1411 ref appTerm 1413 def axiom 1414 def nil 346 ref 1413 remove nil cons cons 1415 def 347 ref 1412 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1411 ref nil cons cons 1416 def 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1410 remove nil cons cons 347 ref 1409 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1408 remove nil cons cons 700 ref 1378 ref nil cons 1417 def cons nil cons 1418 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 1403 ref appTerm nil cons cons 347 ref 1404 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1403 remove nil cons cons 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1381 remove 1402 remove appTerm nil cons cons 347 ref 1406 ref 131 ref appTerm 1419 def nil cons 1420 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 1396 ref cons nil cons nil cons cons 82 ref subst 1380 remove assume eqMp 1421 def appThm 1401 ref refl 1422 def 1206 ref assume nil 1308 ref 131 ref nil cons 1423 def cons 1424 def nil cons 1425 def nil cons cons 1426 def 1308 ref 122 ref 1311 ref 135 ref appTerm 1427 def appTerm 1377 ref 1310 ref appTerm 1428 def appTerm 1429 def absTerm 1430 def 1310 ref appTerm 1431 def betaConv 19 ref refl 1432 def 1308 ref 1429 remove assume sym 122 ref 1428 ref appTerm 1433 def 1427 ref appTerm 1434 def assume sym deductAntisym absThm appThm nil 19 ref 1308 ref 1434 remove absTerm 1435 def appTerm 1436 def axiom 1437 def eqMp 1438 def nil 346 ref 19 ref 1430 ref appTerm nil cons cons 347 ref 1431 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1430 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp 1439 def subst 1440 def trans 1441 def appThm nil "n" 16 ref var 1442 def 1423 ref cons 1443 def 1308 ref 1161 ref nil cons 1444 def cons nil cons 1445 def cons nil cons cons 1446 def 1442 ref 56 ref 1400 ref 1428 ref appTerm 1377 ref 1442 ref varTerm 1447 def appTerm 1448 def appTerm 1449 def appTerm 1400 ref 1310 ref appTerm 1450 def 1447 ref appTerm 1451 def appTerm 1452 def absTerm 1453 def 1447 ref appTerm 1454 def betaConv 1308 ref 19 ref 1453 ref appTerm 1455 def absTerm 1456 def 1310 ref appTerm 1457 def betaConv nil 19 ref 1456 ref appTerm 1458 def axiom 1459 def nil 346 ref 1458 remove nil cons cons 347 ref 1457 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1456 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1455 remove nil cons cons 347 ref 1454 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1453 remove nil cons cons 700 ref 1447 ref nil cons 1460 def cons nil cons 1461 def cons nil cons cons 414 ref subst eqMp eqMp 1462 def subst trans appThm nil 77 ref 1420 ref cons nil cons nil cons cons 1463 def 833 ref subst trans appThm 1419 ref refl appThm 1463 ref 851 ref subst trans sym 81 ref eqMp eqMp 1054 ref 23 ref 1220 ref appTerm 1464 def 56 ref 167 ref 1219 ref appTerm 1161 ref appTerm 1465 def 1057 ref appTerm appTerm 24 ref 1419 ref appTerm 1466 def 1083 ref 130 ref 135 ref appTerm 1467 def 1161 ref appTerm 1468 def appTerm 1469 def 1057 ref appTerm 1470 def appTerm 1471 def appTerm appTerm absTerm 1472 def 1163 ref appTerm 1473 def betaConv 1158 ref 14 ref 1472 ref appTerm 1474 def absTerm 1475 def 1161 ref appTerm 1476 def betaConv "y" 8 ref var 1477 def 19 ref 1158 ref 14 ref 1054 ref 23 ref 1218 remove 1477 ref varTerm 1478 def appTerm appTerm 56 ref 167 ref 1478 ref appTerm 1161 ref appTerm 1479 def 1057 ref appTerm appTerm 1480 def 1471 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 1481 def 1219 ref appTerm 1482 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 1217 remove 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 24 ref 1406 ref 1447 ref appTerm appTerm 1483 def 1470 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 1484 def 131 ref appTerm 1485 def betaConv "k" 16 ref var 1486 def 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 1212 ref 1486 ref varTerm 1487 def appTerm 1488 def 1447 ref appTerm 1489 def 1478 ref appTerm 1490 def appTerm 1491 def 1480 ref 1483 ref 1083 ref 130 ref 1487 ref appTerm 1492 def 1161 ref appTerm 1493 def appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 1494 def 135 ref appTerm 1495 def betaConv 415 ref 19 ref 1494 ref appTerm 1496 def absTerm 1497 def 857 ref appTerm 1498 def betaConv nil 11 ref 1497 ref appTerm 1499 def axiom 1500 def nil 346 ref 1499 remove nil cons cons 1501 def 347 ref 1498 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1497 ref nil cons cons 1502 def 1151 ref cons nil cons cons 414 ref subst eqMp eqMp 1503 def nil 346 ref 1496 remove nil cons cons 1504 def 347 ref 1495 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1494 ref nil cons cons 1505 def 700 ref 135 ref nil cons 1506 def cons nil cons 1507 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 1484 ref appTerm nil cons cons 347 ref 1485 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1484 remove nil cons cons 700 ref 1423 ref cons nil cons 1508 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 1481 ref appTerm nil cons cons 347 ref 1482 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1481 remove nil cons cons 415 ref 1219 ref nil cons cons nil cons 1509 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 1475 ref appTerm nil cons cons 347 ref 1476 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1475 remove nil cons cons 700 ref 1444 ref cons nil cons 1510 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1474 remove nil cons cons 347 ref 1473 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1472 remove nil cons cons 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1464 remove 56 ref 1465 ref 1163 ref appTerm 1511 def appTerm 1512 def 1466 ref 1469 remove 1163 ref appTerm appTerm appTerm appTerm nil cons cons 1398 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 1287 remove cons nil cons nil cons cons 82 ref subst 1220 remove assume eqMp appThm 1512 remove refl 1017 ref 1463 remove 82 ref subst 1419 remove assume eqMp 1513 def appThm 1514 def 1083 ref refl 1515 def nil 1445 ref nil cons cons 1516 def 1308 ref 122 ref 1467 ref 1310 ref appTerm appTerm 1428 ref appTerm absTerm 1517 def 1310 ref appTerm 1518 def betaConv 1432 ref 1308 ref 122 ref refl 1519 def nil 1442 ref 1506 ref cons 1520 def nil cons 1521 def nil cons cons 1522 def 1442 ref 122 ref 1311 ref 1447 ref appTerm 1523 def appTerm 1524 def 130 ref 1447 ref appTerm 1525 def 1310 ref appTerm 1526 def appTerm absTerm 1527 def 1447 ref appTerm 1528 def betaConv 1308 ref 19 ref 1527 ref appTerm 1529 def absTerm 1530 def 1310 ref appTerm 1531 def betaConv nil 19 ref 1530 ref appTerm 1532 def axiom nil 346 ref 1532 remove nil cons cons 347 ref 1531 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1530 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1529 remove nil cons cons 347 ref 1528 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1527 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 1533 def subst appThm 1428 ref refl appThm absThm appThm 1438 remove eqMp nil 346 ref 19 ref 1517 ref appTerm nil cons cons 347 ref 1518 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1517 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm 1163 ref refl appThm 1421 remove trans appThm 1030 ref trans appThm nil 77 ref 1511 ref nil cons 1534 def cons nil cons nil cons cons 1535 def 77 ref 56 ref 80 ref appTerm 78 ref appTerm absTerm 1536 def 78 ref appTerm 1537 def betaConv nil 785 ref 1536 ref appTerm 1538 def axiom nil 346 ref 1538 remove nil cons cons 347 ref 1537 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 1536 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 1539 def subst trans appThm 1535 ref 833 ref subst trans appThm 1385 ref refl 1540 def appThm sym nil 346 ref 1534 ref cons 1398 ref cons nil cons cons 1541 def 362 ref subst 1541 remove 412 ref subst 1406 ref refl 1542 def 1209 remove assume appThm 1513 remove trans sym 81 ref eqMp nil 346 ref 1406 ref 1208 remove appTerm nil cons cons 347 ref 108 ref "xpi" 1 ref var 1543 def 167 ref 1207 ref appTerm 1161 ref appTerm 1544 def 1543 ref varTerm 1545 def appTerm 1546 def absTerm 1547 def appTerm 1548 def nil cons 1549 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 415 ref 1207 ref nil cons cons nil cons 1550 def nil cons cons 1158 ref 23 ref 1407 ref appTerm 108 ref 1054 ref 1405 ref absTerm appTerm appTerm absTerm 1551 def 1161 ref appTerm 1552 def betaConv 415 ref 19 ref 1551 ref appTerm 1553 def absTerm 1554 def 857 ref appTerm 1555 def betaConv nil 11 ref 1554 ref appTerm 1556 def axiom 1557 def nil 346 ref 1556 remove nil cons cons 1558 def 347 ref 1555 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1554 ref nil cons cons 1559 def 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1553 remove nil cons cons 347 ref 1552 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1551 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp 1560 def subst eqMp nil 346 ref 1549 remove cons 1398 ref cons nil cons cons 403 ref subst nil 5 ref 1543 ref 23 ref 1547 ref 1545 ref appTerm 1561 def appTerm 1385 ref appTerm 1562 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 1543 remove nil 77 ref 1562 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1561 ref nil cons 1563 def cons 1398 ref cons nil cons cons 1564 def 362 ref subst 1564 remove 412 ref subst 1561 ref betaConv 1561 remove assume eqMp nil 346 ref 1546 ref nil cons 1565 def cons 1398 ref cons nil cons cons 1566 def 403 ref subst proveHyp 1566 ref 362 ref subst 1566 remove 412 ref subst "yi" 1 ref var 1567 def 23 ref 1226 ref 24 ref 1546 ref appTerm 1568 def 1465 remove 1567 ref varTerm 1569 def appTerm 1570 def appTerm appTerm appTerm 260 ref 1545 ref appTerm 1571 def 1569 ref appTerm appTerm absTerm 1572 def 1163 ref appTerm 1573 def betaConv 1160 ref 14 ref 1567 ref 23 ref 1226 ref 24 ref 1544 remove 1163 ref appTerm appTerm 1574 def 1570 remove appTerm appTerm appTerm 260 ref 1163 ref appTerm 1569 ref appTerm 1575 def appTerm absTerm appTerm absTerm 1576 def 1545 ref appTerm 1577 def betaConv 1158 ref 14 ref 1576 ref appTerm 1578 def absTerm 1579 def 1161 ref appTerm 1580 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 24 ref 1224 remove 1478 ref appTerm appTerm 1574 remove 1479 ref 1569 ref appTerm 1581 def appTerm appTerm appTerm 1575 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 1582 def 1219 remove appTerm 1583 def betaConv 415 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 24 ref 1223 remove 857 ref appTerm 1478 ref appTerm appTerm 24 ref 1164 remove appTerm 1584 def 1581 ref appTerm 1585 def appTerm appTerm 1575 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 1586 def 1207 ref appTerm 1587 def betaConv nil 11 ref 1586 ref appTerm 1588 def axiom nil 346 ref 1588 remove nil cons cons 347 ref 1587 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1586 remove nil cons cons 1550 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 1582 ref appTerm nil cons cons 347 ref 1583 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1582 remove nil cons cons 1509 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 1579 ref appTerm nil cons cons 347 ref 1580 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1579 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1578 remove nil cons cons 347 ref 1577 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1576 remove nil cons cons 404 ref 1545 ref nil cons 1589 def cons nil cons 1590 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 1572 ref appTerm nil cons cons 347 ref 1573 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1572 remove nil cons cons 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 1226 remove 1568 remove 1511 ref appTerm appTerm appTerm 1571 ref 1163 ref appTerm 1591 def appTerm nil cons cons 1398 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1017 ref nil 77 ref 1291 remove cons nil cons nil cons cons 82 ref subst 1225 remove assume eqMp appThm 1017 ref nil 77 ref 1565 ref cons nil cons nil cons cons 82 ref subst 1546 ref assume eqMp 1592 def appThm 1535 remove 82 ref subst 1511 remove assume eqMp appThm 1030 ref trans appThm 1030 ref trans appThm 1591 ref refl appThm nil 77 ref 1591 ref nil cons 1593 def cons nil cons nil cons cons 1594 def 833 ref subst trans appThm 1540 ref appThm sym nil 346 ref 1593 ref cons 1398 ref cons nil cons cons 1595 def 362 ref subst 1595 remove 412 ref subst 20 ref 23 ref 1591 ref appTerm 1596 def 1357 remove 26 ref 1545 ref appTerm 1597 def 29 ref appTerm 1598 def appTerm appTerm absTerm 1599 def 1382 ref appTerm 1600 def betaConv 677 ref 19 ref 20 ref 23 ref 1571 remove 678 ref appTerm appTerm 681 ref 1598 remove appTerm appTerm absTerm appTerm absTerm 1601 def 1163 ref appTerm 1602 def betaConv 690 ref 1545 ref appTerm 1603 def betaConv 693 ref nil 694 ref 347 ref 1603 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 695 ref 1590 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 1601 ref appTerm nil cons cons 347 ref 1602 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1601 remove nil cons cons 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 1599 ref appTerm nil cons cons 347 ref 1600 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1599 remove nil cons cons 700 ref 1382 ref nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1596 remove 1384 remove 1597 ref 1382 remove appTerm 1604 def appTerm 1605 def appTerm nil cons cons 1398 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1594 remove 82 ref subst 1591 remove assume eqMp appThm 1605 ref refl appThm nil 77 ref 1605 ref nil cons 1606 def cons nil cons nil cons cons 833 ref subst trans appThm 1540 remove appThm sym nil 346 ref 1606 ref cons 1398 remove cons nil cons cons 1607 def 362 ref subst 1607 remove 412 ref subst 56 ref 1148 ref 1383 remove appTerm 1608 def appTerm refl 1148 remove 1604 ref appTerm betaConv appThm 383 ref 1608 remove betaConv appThm 56 ref 1604 remove appTerm 1609 def 1067 ref appTerm 1610 def refl 1611 def appThm trans 1149 remove 1605 remove assume appThm eqMp sym 1542 ref 1441 remove appThm 1446 ref 1442 ref 56 ref 1450 ref 1448 ref appTerm appTerm "Number.Natural.<=" const 121 ref constTerm 1612 def 1310 ref appTerm 1613 def 1447 ref appTerm 1614 def appTerm absTerm 1615 def 1447 ref appTerm 1616 def betaConv 1308 ref 19 ref 1615 ref appTerm 1617 def absTerm 1618 def 1310 ref appTerm 1619 def betaConv nil 19 ref 1618 ref appTerm 1620 def axiom nil 346 ref 1620 remove nil cons cons 347 ref 1619 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1618 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1617 remove nil cons cons 347 ref 1616 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1615 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 1621 def subst trans sym nil 346 ref 1420 remove cons 347 ref 1612 ref 1161 ref appTerm 1622 def 131 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst 1446 remove 1442 ref 23 ref 1451 ref appTerm 1623 def 1614 ref appTerm absTerm 1624 def 1447 ref appTerm 1625 def betaConv 1308 ref 19 ref 1624 ref appTerm 1626 def absTerm 1627 def 1310 ref appTerm 1628 def betaConv nil 19 ref 1627 ref appTerm 1629 def axiom nil 346 ref 1629 remove nil cons cons 347 ref 1628 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1627 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1626 remove nil cons cons 347 ref 1625 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1624 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp eqMp nil 346 ref 1407 remove nil cons cons 347 ref 108 ref "xis" 1 ref var 1630 def 1162 ref 1630 ref varTerm 1631 def appTerm 1632 def absTerm 1633 def appTerm 1634 def nil cons 1635 def cons nil cons cons nil cons cons 403 ref subst proveHyp 1560 ref eqMp nil 346 ref 1635 remove cons 347 ref 1610 ref nil cons 1636 def cons nil cons 1637 def cons nil cons cons 403 ref subst nil 5 ref 1630 ref 23 ref 1633 ref 1631 ref appTerm 1638 def appTerm 1610 ref appTerm 1639 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 1630 remove nil 77 ref 1639 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1638 ref nil cons 1640 def cons 1637 ref cons nil cons cons 1641 def 362 ref subst 1641 remove 412 ref subst 1638 ref betaConv 1638 remove assume eqMp nil 346 ref 1632 ref nil cons 1642 def cons 1637 ref cons nil cons cons 1643 def 403 ref subst proveHyp 1643 ref 362 ref subst 1643 remove 412 ref subst 1294 ref 1631 ref appTerm 1644 def betaConv nil 1393 ref 347 ref 1644 remove nil cons cons nil cons cons nil cons cons 403 ref subst 52 ref 5 ref 1294 remove nil cons cons 1645 def 404 ref 1631 ref nil cons 1646 def cons 1647 def nil cons 1648 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 1632 ref appTerm 56 ref 26 ref 1631 ref appTerm 1170 ref appTerm 1649 def appTerm 1067 ref appTerm 1650 def appTerm nil cons cons 1637 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 1642 ref cons nil cons nil cons cons 82 ref subst 1632 ref assume eqMp 1651 def appThm 1650 ref refl appThm nil 77 ref 1650 ref nil cons 1652 def cons nil cons nil cons cons 833 ref subst trans appThm 1611 remove appThm sym nil 346 ref 1652 ref cons 1637 remove cons nil cons cons 1653 def 362 ref subst 1653 remove 412 ref subst 56 ref "_33106" 2 ref var 1654 def 1609 ref 1654 remove varTerm appTerm absTerm 1655 def 1067 ref appTerm 1656 def appTerm refl 1655 ref 1649 ref appTerm betaConv appThm 383 ref 1656 remove betaConv appThm 1609 remove 1649 ref appTerm refl appThm trans 1655 remove refl 1650 remove assume sym appThm eqMp sym 383 ref 1597 ref refl 1657 def nil 1442 ref 1444 ref cons 1658 def 1309 ref cons nil cons cons 1442 ref 122 ref 1311 ref 1448 ref appTerm 1659 def appTerm 1377 ref 1523 ref appTerm 1660 def appTerm 1661 def absTerm 1662 def 1447 ref appTerm 1663 def betaConv 1308 ref 19 ref 1662 ref appTerm 1664 def absTerm 1665 def 1310 ref appTerm 1666 def betaConv nil 19 ref 1665 ref appTerm 1667 def axiom 1668 def nil 346 ref 1667 remove nil cons cons 347 ref 1666 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1665 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1664 remove nil cons cons 347 ref 1663 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1662 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 1669 def subst appThm appThm 1649 ref refl 1670 def appThm sym 383 ref 1657 remove nil 1308 ref 1170 ref nil cons 1671 def cons nil cons nil cons cons 1435 ref 1310 ref appTerm 1672 def betaConv 1437 remove nil 346 ref 1436 remove nil cons cons 347 ref 1672 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1435 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp 1673 def subst appThm appThm 1670 remove appThm sym 415 ref 101 ref 1477 ref 99 ref 1158 ref 24 ref 263 ref 857 ref appTerm 1674 def 1478 ref appTerm 1675 def appTerm 1676 def 24 ref 1632 remove appTerm 1479 ref 1545 ref appTerm 1677 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 1678 def 1215 ref appTerm betaConv sym 1477 ref 99 ref 1158 ref 24 ref 1227 remove 1478 ref appTerm appTerm 24 ref 167 ref 1215 ref appTerm 1161 ref appTerm 1679 def 1631 ref appTerm 1680 def appTerm 1681 def 1677 remove appTerm appTerm absTerm appTerm absTerm 1682 def 1207 remove appTerm betaConv sym 1158 ref 24 ref 1228 ref appTerm 1681 ref 1546 remove appTerm appTerm absTerm 1683 def 1161 ref appTerm betaConv sym 1017 ref nil 77 ref 1292 remove cons nil cons nil cons cons 82 ref subst 1228 remove assume eqMp appThm 1681 remove refl 1592 remove appThm nil 77 ref 1680 ref nil cons 1684 def cons nil cons nil cons cons 1685 def 77 ref 56 ref 24 ref 78 ref appTerm 1686 def 67 ref appTerm appTerm 78 ref appTerm absTerm 1687 def 78 ref appTerm 1688 def betaConv nil 785 ref 1687 ref appTerm 1689 def axiom nil 346 ref 1689 remove nil cons cons 347 ref 1688 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 1687 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 1690 def subst trans appThm 1685 ref 1026 ref subst trans sym 1054 ref 23 ref 1216 ref appTerm 1691 def 56 ref 1679 remove 1057 ref appTerm appTerm 1466 ref 1083 remove 130 ref 134 ref appTerm 1692 def 1161 ref appTerm 1693 def appTerm 1694 def 1057 ref appTerm 1695 def appTerm 1696 def appTerm appTerm absTerm 1697 def 1631 ref appTerm 1698 def betaConv 1158 ref 14 ref 1697 ref appTerm 1699 def absTerm 1700 def 1161 ref appTerm 1701 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 1214 remove 1478 ref appTerm appTerm 1480 ref 1696 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 1702 def 1215 ref appTerm 1703 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 1213 ref 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 1695 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 1704 def 131 ref appTerm 1705 def betaConv 1494 remove 134 ref appTerm 1706 def betaConv 1503 remove nil 1504 remove 347 ref 1706 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 1505 remove 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 1704 ref appTerm nil cons cons 347 ref 1705 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1704 remove nil cons cons 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 1702 ref appTerm nil cons cons 347 ref 1703 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1702 remove nil cons cons 415 ref 1215 remove nil cons cons nil cons 1707 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 1700 ref appTerm nil cons cons 347 ref 1701 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1700 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1699 remove nil cons cons 347 ref 1698 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1697 remove nil cons cons 1648 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1691 remove 56 ref 1680 ref appTerm 1708 def 1466 ref 1694 remove 1631 ref appTerm appTerm appTerm appTerm nil cons cons 347 ref 1684 remove cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 1285 remove cons nil cons nil cons cons 82 ref subst 1216 remove assume eqMp appThm 1708 remove refl 1514 remove 1515 remove nil 1658 ref nil cons 1709 def nil cons cons 1710 def 1442 ref 122 ref 1692 ref 1447 ref appTerm 1711 def appTerm 1447 ref appTerm absTerm 1712 def 1447 ref appTerm 1713 def betaConv nil 19 ref 1712 ref appTerm 1714 def axiom nil 346 ref 1714 remove nil cons cons 347 ref 1713 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1712 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 1715 def subst 1716 def appThm 1631 ref refl appThm 1651 remove trans appThm 1030 ref trans appThm 1685 ref 1539 ref subst trans appThm 1685 ref 833 ref subst trans appThm 1680 remove refl appThm 1685 remove 851 ref subst trans sym 81 ref eqMp eqMp eqMp eqMp 93 ref 90 ref 1683 remove nil cons cons 1510 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 1682 remove nil cons cons 1550 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 1678 ref nil cons cons 1707 remove cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 1678 remove appTerm nil cons cons 347 ref 270 ref 1631 remove appTerm 1545 remove appTerm nil cons 1717 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1567 ref 1589 ref cons 1160 ref 1646 remove cons nil cons cons nil cons cons 1567 ref 23 ref 101 ref 415 ref 101 ref 1477 ref 99 ref 1158 ref 1676 ref 1585 ref appTerm 1718 def absTerm 1719 def appTerm 1720 def absTerm 1721 def appTerm 1722 def absTerm 1723 def appTerm 1724 def appTerm 1725 def 270 ref 1163 ref appTerm 1569 ref appTerm 1726 def appTerm 1727 def absTerm 1728 def 1569 ref appTerm 1729 def betaConv 1160 ref 14 ref 1728 ref appTerm 1730 def absTerm 1731 def 1163 ref appTerm 1732 def betaConv nil 11 ref 415 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 1718 ref appTerm 1726 ref appTerm absTerm 1733 def appTerm 1734 def absTerm 1735 def appTerm 1736 def absTerm 1737 def appTerm 1738 def absTerm 1739 def appTerm 1740 def absTerm 1741 def appTerm 1742 def axiom 1743 def nil 346 ref 1742 ref nil cons 1744 def cons 1745 def 347 ref 14 ref 1731 ref appTerm nil cons 1746 def cons nil cons cons nil cons cons 1747 def 403 ref subst proveHyp 1747 ref 362 ref subst 1747 remove 412 ref subst nil 5 ref 1731 remove nil cons cons 1748 def nil cons nil cons cons 76 ref subst 1160 ref nil 77 ref 1730 remove nil cons 1749 def cons nil cons nil cons cons 82 ref subst nil 5 ref 1728 remove nil cons cons 1750 def nil cons nil cons cons 76 ref subst 1567 ref nil 77 ref 1727 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1724 remove nil cons 1751 def cons 1752 def 347 ref 1726 ref nil cons 1753 def cons nil cons 1754 def cons nil cons cons 1755 def 362 ref subst 1755 remove 412 ref subst nil 1745 ref 1754 ref cons nil cons cons 1756 def 403 ref subst nil 1752 remove 347 ref 23 ref 1742 remove appTerm 1726 ref appTerm 1757 def nil cons 1758 def cons nil cons 1759 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 1723 ref 857 ref appTerm 1760 def appTerm 1757 ref appTerm 1761 def absTerm 1762 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 1761 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1760 ref nil cons 1763 def cons 1759 ref cons nil cons cons 1764 def 362 ref subst 1764 remove 412 ref subst 1760 ref betaConv 1760 remove assume eqMp nil 346 ref 1722 ref nil cons cons 1759 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1477 ref 23 ref 1721 ref 1478 ref appTerm 1765 def appTerm 1757 ref appTerm 1766 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 1766 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1765 ref nil cons 1767 def cons 1759 ref cons nil cons cons 1768 def 362 ref subst 1768 remove 412 ref subst 1765 ref betaConv 1765 remove assume eqMp nil 346 ref 1720 ref nil cons cons 1759 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1158 ref 23 ref 1719 ref 1161 ref appTerm 1769 def appTerm 1757 ref appTerm 1770 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 1770 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1769 ref nil cons 1771 def cons 1759 ref cons nil cons cons 1772 def 362 ref subst 1772 remove 412 ref subst 1769 ref betaConv 1769 remove assume eqMp nil 346 ref 1718 remove nil cons 1773 def cons 1774 def 1759 remove cons nil cons cons 1775 def 403 ref subst proveHyp 1775 ref 362 ref subst 1775 remove 412 ref subst 1756 ref 362 ref subst 1756 remove 412 ref subst nil 1774 remove 1754 remove cons nil cons cons 403 ref subst 1733 ref 1569 ref appTerm 1776 def betaConv 1735 ref 1163 ref appTerm 1777 def betaConv 1737 ref 1161 ref appTerm 1778 def betaConv 1739 ref 1478 ref appTerm 1779 def betaConv 1741 ref 857 ref appTerm 1780 def betaConv nil 1745 ref 347 ref 1780 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 83 ref 1741 ref nil cons cons 1781 def 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1740 remove nil cons cons 347 ref 1779 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1739 remove nil cons cons 415 ref 1478 ref nil cons cons nil cons 1782 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1738 remove nil cons cons 347 ref 1778 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1737 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1736 remove nil cons cons 347 ref 1777 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1735 remove nil cons cons 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1734 remove nil cons cons 347 ref 1776 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1733 remove nil cons cons 404 ref 1569 ref nil cons cons nil cons 1783 def cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 1744 remove cons 1784 def 381 ref 1753 remove cons nil cons 1785 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 1773 remove cons 381 ref 1758 remove cons nil cons 1786 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 1771 remove cons 1786 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 1719 ref 963 ref appTerm appTerm 1757 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 1720 remove appTerm 1757 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1719 remove nil cons cons 1786 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 1767 remove cons 1786 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref "x'" 8 ref var 1787 def 23 ref 1721 ref 1787 ref varTerm 1788 def appTerm appTerm 1757 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 1722 remove appTerm 1757 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1721 remove nil cons cons 1786 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 1763 remove cons 1786 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1762 remove appTerm nil cons cons 347 ref 1725 remove 1757 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1723 remove nil cons cons 1786 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 1751 remove cons 1785 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 1784 remove 381 ref 1746 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 1746 remove cons 347 ref 1732 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1748 remove 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1749 remove cons 347 ref 1729 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1750 remove 1783 ref cons nil cons cons 414 ref subst eqMp eqMp 1789 def subst eqMp nil 346 ref 1717 remove cons 347 ref 56 ref 1597 remove 130 ref 1170 ref appTerm 135 ref appTerm appTerm appTerm 1649 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1647 remove 20 ref 1671 remove cons 677 ref 1589 remove cons nil cons cons cons nil cons cons 20 ref 23 ref 270 ref 684 ref appTerm 678 ref appTerm 1790 def appTerm 56 ref 679 remove 1062 ref 135 ref appTerm 1791 def appTerm appTerm 1792 def 689 ref appTerm appTerm absTerm 1793 def 29 ref appTerm 1794 def betaConv 404 ref 19 ref 1793 ref appTerm 1795 def absTerm 1796 def 684 ref appTerm 1797 def betaConv 677 ref 14 ref 1796 ref appTerm 1798 def absTerm 1799 def 678 ref appTerm 1800 def betaConv nil 14 ref 404 ref 14 ref 677 ref 1795 ref absTerm 1801 def appTerm 1802 def absTerm 1803 def appTerm 1804 def axiom 1805 def nil 346 ref 1804 remove nil cons 1806 def cons 1807 def 347 ref 14 ref 1799 ref appTerm nil cons 1808 def cons nil cons cons nil cons cons 1809 def 403 ref subst proveHyp 1809 ref 362 ref subst 1809 remove 412 ref subst nil 5 ref 1799 remove nil cons cons 1810 def nil cons nil cons cons 76 ref subst 677 ref nil 77 ref 1798 remove nil cons 1811 def cons nil cons nil cons cons 82 ref subst nil 5 ref 1796 remove nil cons cons 1812 def nil cons nil cons cons 76 ref subst 404 ref nil 77 ref 1795 remove nil cons 1813 def cons nil cons nil cons cons 82 ref subst 1801 ref 678 ref appTerm 1814 def betaConv 1803 ref 684 ref appTerm 1815 def betaConv nil 1807 ref 347 ref 1815 remove nil cons cons nil cons cons nil cons cons 403 ref subst 52 ref 5 ref 1803 ref nil cons cons 1816 def 404 ref 684 ref nil cons cons nil cons 1817 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1802 remove nil cons cons 347 ref 1814 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1801 remove nil cons cons 404 ref 678 ref nil cons cons nil cons 1818 def cons nil cons cons 414 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 379 ref 1806 remove cons 381 ref 1808 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 1808 remove cons 347 ref 1800 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1810 remove 1818 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1811 remove cons 347 ref 1797 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1812 remove 1817 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1813 remove cons 347 ref 1794 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1793 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp 1819 def subst eqMp eqMp eqMp eqMp eqMp nil 379 ref 1652 remove cons 381 ref 1636 remove cons nil cons 1820 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 1642 remove cons 1820 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 1640 remove cons 1820 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 1633 ref 684 ref appTerm appTerm 1610 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 1634 remove appTerm 1610 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1633 remove nil cons cons 1820 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp nil 379 ref 1606 remove cons 381 ref 1397 remove cons nil cons 1821 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 1593 remove cons 1821 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 1565 remove cons 1821 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 1563 remove cons 1821 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 1547 ref 684 ref appTerm appTerm 1385 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 1548 remove appTerm 1385 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1547 remove nil cons cons 1821 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 1534 remove cons 1821 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 379 ref 1396 remove cons 1821 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 379 ref 1392 remove cons 381 ref 1394 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 346 ref 24 ref 1376 remove appTerm 1391 remove appTerm nil cons cons 347 ref 19 ref 1297 ref appTerm nil cons 1822 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 1017 ref 1297 ref 134 ref appTerm betaConv appThm 1432 ref 1158 ref 96 ref 1299 ref appThm 1297 ref 1378 ref appTerm betaConv appThm absThm appThm appThm appThm 1432 ref 1158 ref 1299 remove absThm appThm appThm nil "p" 17 ref var 1823 def 1297 remove nil cons 1824 def cons nil cons nil cons cons 1823 ref 23 ref 24 ref 1823 ref varTerm 1825 def 134 ref appTerm appTerm 19 ref 1442 ref 23 ref 1825 ref 1447 ref appTerm 1826 def appTerm 1825 ref 1448 ref appTerm appTerm absTerm appTerm appTerm appTerm 19 ref 1442 ref 1826 ref absTerm 1827 def appTerm appTerm absTerm 1828 def 1825 ref appTerm 1829 def betaConv nil 7 ref 0 ref 18 ref 3 ref cons opType constTerm 1830 def 1828 ref appTerm 1831 def axiom nil 346 ref 1831 remove nil cons cons 347 ref 1829 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 25 ref cons nil cons 1832 def "P" 18 ref var 1833 def 1828 remove nil cons cons "x" 17 ref var 1834 def 1825 ref nil cons cons nil cons 1835 def cons nil cons cons 414 ref subst eqMp eqMp 1836 def subst eqMp eqMp nil 346 ref 1822 remove cons 347 ref 1298 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1824 remove cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 1393 remove 347 ref 1295 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1645 remove 1355 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 1279 remove cons 381 ref 1253 remove cons nil cons 1837 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 1277 remove cons 1837 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 1236 ref 1788 ref appTerm appTerm 1171 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 1237 remove appTerm 1171 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1236 remove nil cons cons 1837 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 1273 remove cons 1837 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 1238 ref 1788 ref appTerm appTerm 1171 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 1239 remove appTerm 1171 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1238 remove nil cons cons 1837 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 1269 remove cons 1837 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 1240 ref 684 ref appTerm appTerm 1171 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 1241 remove appTerm 1171 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1240 remove nil cons cons 1837 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 1265 remove cons 1837 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 1242 ref 1788 ref appTerm appTerm 1171 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 1243 remove appTerm 1171 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1242 remove nil cons cons 1837 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 1261 remove cons 1837 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 1244 ref 963 ref appTerm appTerm 1171 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 1245 remove appTerm 1171 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1244 remove nil cons cons 1837 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 1252 remove cons 1837 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 1838 def nil 346 ref 14 ref 1193 ref appTerm 1839 def nil cons 1840 def cons 1841 def 347 ref 14 ref 1182 ref appTerm nil cons 1842 def cons nil cons cons nil cons cons 1843 def 403 ref subst proveHyp 1843 ref 362 ref subst 1843 remove 412 ref subst nil 5 ref 1182 remove nil cons cons 1844 def nil cons nil cons cons 76 ref subst 1160 ref nil 77 ref 1181 remove nil cons 1845 def cons nil cons nil cons cons 82 ref subst nil 90 ref 1179 remove nil cons cons 1846 def nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 1178 remove nil cons 1847 def cons nil cons nil cons cons 82 ref subst nil 5 ref 1176 remove nil cons cons 1848 def nil cons nil cons cons 76 ref subst 1054 ref nil 77 ref 1175 remove nil cons 1849 def cons nil cons nil cons cons 82 ref subst nil 90 ref 1173 remove nil cons cons 1850 def nil cons nil cons cons 95 ref subst 20 ref nil 77 ref 1172 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1167 remove nil cons 1851 def cons 1852 def 1254 ref cons nil cons cons 1853 def 362 ref subst 1853 remove 412 ref subst nil 1841 ref 1254 ref cons nil cons cons 1854 def 403 ref subst nil 1852 remove 347 ref 23 ref 1839 ref appTerm 1171 remove appTerm 1855 def nil cons 1856 def cons nil cons 1857 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 1166 ref 857 ref appTerm 1858 def appTerm 1855 ref appTerm 1859 def absTerm 1860 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 1859 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1858 ref nil cons 1861 def cons 1857 ref cons nil cons cons 1862 def 362 ref subst 1862 remove 412 ref subst 1858 ref betaConv 1858 remove assume eqMp nil 346 ref 1165 remove nil cons 1863 def cons 1864 def 1857 remove cons nil cons cons 1865 def 403 ref subst proveHyp 1865 ref 362 ref subst 1865 remove 412 ref subst 1854 ref 362 ref subst 1854 remove 412 ref subst nil 1864 remove 1254 remove cons nil cons cons 403 ref subst 1185 remove 29 ref appTerm 1866 def betaConv 1187 remove 1163 ref appTerm 1867 def betaConv 1189 remove 1161 ref appTerm 1868 def betaConv 1191 remove 857 ref appTerm 1869 def betaConv 1193 remove 1057 ref appTerm 1870 def betaConv nil 1841 remove 347 ref 1870 remove nil cons cons nil cons cons nil cons cons 403 ref subst 52 ref 1194 remove 1106 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1195 remove cons 347 ref 1869 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1196 remove 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1197 remove cons 347 ref 1868 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 1198 remove 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1199 remove cons 347 ref 1867 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1200 remove 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1201 remove cons 347 ref 1866 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 1202 remove 702 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 1840 remove cons 1871 def 1837 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 1863 remove cons 381 ref 1856 remove cons nil cons 1872 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 1861 remove cons 1872 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1860 remove appTerm nil cons cons 347 ref 1168 remove 1855 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1166 remove nil cons cons 1872 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 1851 remove cons 1837 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 1871 remove 381 ref 1842 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 1842 remove cons 347 ref 1183 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1844 remove 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1845 remove cons 347 ref 1180 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 1846 remove 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1847 remove cons 347 ref 1177 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1848 remove 1106 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1849 remove cons 347 ref 1174 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 1850 remove 702 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp eqMp eqMp nil 379 ref 1141 remove cons 381 ref 1115 remove cons nil cons 1873 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 1122 remove cons 1873 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 1120 remove cons 1873 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 1093 ref 684 ref appTerm appTerm 1068 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 1094 remove appTerm 1068 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1093 remove nil cons cons 1873 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 1114 remove cons 1873 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1113 remove appTerm nil cons cons 347 ref 23 ref 1096 remove appTerm 1068 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 1095 remove nil cons cons 1873 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 14 ref 1076 remove appTerm thm 1838 remove nil 1839 remove thm nil 90 ref 1442 ref 14 ref 6 ref 11 ref 12 ref 14 ref 15 ref 19 ref 20 ref 19 ref 1486 ref 23 ref 24 ref 19 ref 1158 ref 23 ref 1622 ref 1487 ref appTerm 1874 def appTerm 1875 def 56 ref 28 ref 1170 ref appTerm appTerm 122 ref 1161 ref appTerm 1876 def 134 ref appTerm 1877 def appTerm 1878 def appTerm 1879 def absTerm 1880 def appTerm 1881 def appTerm 1882 def 24 ref 122 ref 130 ref "Number.Natural.Bits.fromList" const 0 ref "Data.List.list" typeOp 1883 def 3 ref opType 1884 def 91 ref cons opType 1885 def constTerm 1886 def "Hardware.Bus.signal" const 0 ref 8 ref 0 ref 16 ref 1884 ref nil cons 1887 def cons opType nil cons 1888 def cons opType constTerm 1889 def 34 ref appTerm 1890 def 29 ref appTerm 1891 def appTerm 1892 def appTerm 1893 def 1525 ref "Number.Natural.bit0" const 127 ref constTerm 1894 def 135 ref appTerm 1895 def appTerm 1896 def appTerm appTerm 130 ref "Number.Natural.^" const 129 ref constTerm 1897 def 1895 ref appTerm 1898 def 124 ref appTerm 1899 def appTerm 1900 def 124 ref appTerm 1901 def appTerm 1902 def appTerm 1903 def 37 ref appTerm 1904 def appTerm appTerm 56 ref 39 ref 1062 ref 1487 ref appTerm 1905 def appTerm 1906 def appTerm 1907 def 1400 ref 1447 ref appTerm 1908 def 1487 ref appTerm 1909 def appTerm 1910 def appTerm 1911 def absTerm 1912 def appTerm 1913 def absTerm 1914 def appTerm 1915 def absTerm 1916 def appTerm 1917 def absTerm 1918 def appTerm 1919 def absTerm 1920 def appTerm 1921 def absTerm 1922 def nil cons cons nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 1921 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 1920 remove nil cons cons nil cons nil cons cons 76 ref subst 6 ref nil 77 ref 1919 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 1918 remove nil cons cons nil cons nil cons cons 87 ref subst 12 ref nil 77 ref 1917 remove nil cons 1923 def cons nil cons nil cons cons 82 ref subst nil 5 ref 1916 ref nil cons cons 1924 def nil cons nil cons cons 76 ref subst 15 ref nil 77 ref 1915 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 1914 remove nil cons cons nil cons nil cons cons 95 ref subst 20 ref nil 77 ref 1913 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 1912 ref nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 1911 remove nil cons 1925 def cons nil cons nil cons cons 82 ref subst nil 346 ref 38 ref 122 ref 1487 ref appTerm 1926 def 134 ref appTerm 1927 def appTerm 1928 def nil cons 1929 def cons 1930 def 347 ref 1925 ref cons nil cons 1931 def cons nil cons cons 1932 def 362 ref subst 1932 remove 412 ref subst 1525 ref refl 1894 ref refl nil 1442 ref 1351 ref cons 1933 def nil cons nil cons cons 1934 def 1442 ref 122 ref 133 remove 1447 ref appTerm appTerm 1377 ref 1894 ref 1447 ref appTerm appTerm 1935 def appTerm absTerm 1936 def 1447 ref appTerm 1937 def betaConv nil 19 ref 1936 ref appTerm 1938 def axiom nil 346 ref 1938 remove nil cons cons 347 ref 1937 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1936 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst 1377 ref refl 1939 def nil 122 ref 1894 ref 134 ref appTerm appTerm 134 ref appTerm axiom appThm 1940 def trans 1941 def appThm 1934 ref 1442 ref 122 ref 1894 remove 1448 ref appTerm appTerm 1377 ref 1935 remove appTerm appTerm absTerm 1942 def 1447 ref appTerm 1943 def betaConv nil 19 ref 1942 ref appTerm 1944 def axiom nil 346 ref 1944 remove nil cons cons 347 ref 1943 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1942 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst 1939 ref 1940 remove appThm trans trans 1945 def appThm nil 1442 ref 1377 ref 134 ref appTerm 1946 def nil cons 1947 def cons 1948 def 1308 ref 1460 ref cons 1949 def nil cons 1950 def cons nil cons cons 1669 ref subst 1939 ref nil 1933 ref 1950 ref cons nil cons cons 1669 ref subst 1939 ref nil 1950 ref nil cons cons 1951 def 1317 ref subst appThm trans appThm trans trans 56 ref "_33993" 16 ref var 1952 def 23 ref 1882 ref 24 ref 122 ref 1893 ref 1952 remove varTerm appTerm appTerm 1901 ref appTerm appTerm 37 ref appTerm appTerm appTerm 1910 ref appTerm absTerm 1953 def 1896 ref appTerm 1954 def appTerm refl 1953 ref 1377 ref 1448 ref appTerm 1955 def appTerm betaConv appThm 383 ref 1954 remove betaConv appThm 23 ref 1882 ref 24 ref 122 ref 1893 ref 1955 ref appTerm appTerm 1901 ref appTerm 1956 def appTerm 37 ref appTerm 1957 def appTerm 1958 def appTerm 1910 ref appTerm refl appThm trans 1953 remove refl 122 ref 1896 remove appTerm 1955 ref appTerm assume appThm eqMp sym nil 346 ref 1958 remove nil cons 1959 def cons 347 ref 1910 remove nil cons 1960 def cons nil cons cons nil cons cons 1961 def 362 ref subst 1961 remove 412 ref subst nil 379 ref 1881 ref nil cons 1962 def cons 1963 def 381 ref 1957 remove nil cons cons nil cons cons nil cons cons 1964 def 395 ref subst 1964 remove 428 ref subst nil 379 ref 1956 ref nil cons 1965 def cons 381 ref 37 ref nil cons 1966 def cons nil cons 1967 def cons nil cons cons 1968 def 395 ref subst 1968 remove 428 ref subst 1907 ref refl 1969 def nil 1442 ref 1487 ref nil cons 1970 def cons 1971 def 1950 ref cons nil cons cons 1442 ref 56 ref 1451 ref appTerm 1972 def 1449 remove appTerm 1973 def absTerm 1974 def 1447 ref appTerm 1975 def betaConv 1308 ref 19 ref 1974 ref appTerm 1976 def absTerm 1977 def 1310 ref appTerm 1978 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 1973 remove assume sym 1452 remove assume sym deductAntisym absThm appThm absThm appThm 1459 remove eqMp nil 346 ref 19 ref 1977 ref appTerm nil cons cons 347 ref 1978 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1977 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1976 remove nil cons cons 347 ref 1975 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1974 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 1979 def subst appThm sym nil "p" 16 ref var 1980 def 1448 ref nil cons 1981 def cons 1442 ref 124 ref nil cons 1982 def cons 1983 def nil cons 1984 def cons nil cons cons 1980 ref 56 ref 1612 ref 1447 ref appTerm 1985 def 1980 ref varTerm 1986 def appTerm 1987 def appTerm 1612 ref 1900 ref 1447 ref appTerm 1988 def appTerm 1900 ref 1986 ref appTerm appTerm 1989 def appTerm 1990 def absTerm 1991 def 1986 ref appTerm 1992 def betaConv 1442 ref 19 ref 1991 ref appTerm 1993 def absTerm 1994 def 1447 ref appTerm 1995 def betaConv 1432 ref 1442 ref 1432 ref 1980 ref 1990 remove assume sym 56 ref 1989 remove appTerm 1987 ref appTerm assume sym deductAntisym absThm appThm absThm appThm 1308 ref 19 ref 1442 ref 19 ref 1980 ref 56 ref 1612 ref 1523 ref appTerm 1996 def 1311 ref 1986 ref appTerm 1997 def appTerm appTerm 1987 ref appTerm absTerm 1998 def appTerm 1999 def absTerm 2000 def appTerm 2001 def absTerm 2002 def 1899 ref appTerm 2003 def betaConv nil 19 ref 2002 ref appTerm 2004 def axiom 2005 def nil 346 ref 2004 remove nil cons cons 2006 def 347 ref 2003 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2002 ref nil cons cons 2007 def 700 ref 1899 ref nil cons 2008 def cons nil cons 2009 def cons nil cons cons 414 ref subst eqMp eqMp eqMp nil 346 ref 19 ref 1994 ref appTerm nil cons cons 347 ref 1995 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1994 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1993 remove nil cons cons 347 ref 1992 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1991 remove nil cons cons 700 ref 1986 ref nil cons 2010 def cons nil cons 2011 def cons nil cons cons 414 ref subst eqMp eqMp subst sym 1612 ref refl 2012 def 1956 ref assume sym appThm 1900 remove 1448 ref appTerm refl appThm sym 2012 ref nil 1442 ref 1981 ref cons 2013 def 1308 ref 1892 ref nil cons 2014 def cons nil cons 2015 def cons nil cons cons 1669 ref subst 1939 ref nil 2015 ref nil cons cons 2016 def 1669 ref subst appThm trans appThm nil 1308 ref 2008 ref cons nil cons nil cons cons 1669 ref subst appThm nil 1442 ref 1377 ref 1988 ref appTerm nil cons cons 1308 ref 1377 ref 1893 ref 1447 ref appTerm 2017 def appTerm nil cons cons nil cons cons nil cons cons 1442 ref 56 ref 1612 ref 1428 ref appTerm 2018 def 1447 ref appTerm 2019 def appTerm 1451 ref appTerm 2020 def absTerm 2021 def 1447 ref appTerm 2022 def betaConv 1308 ref 19 ref 2021 ref appTerm 2023 def absTerm 2024 def 1310 ref appTerm 2025 def betaConv nil 19 ref 2024 ref appTerm 2026 def axiom 2027 def nil 346 ref 2026 remove nil cons cons 347 ref 2025 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2024 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2023 remove nil cons cons 347 ref 2022 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2021 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2028 def subst nil 1442 ref 1988 remove nil cons cons 1308 ref 2017 ref nil cons cons nil cons cons nil cons cons 1462 ref subst nil 1980 ref 2008 ref cons 1949 ref 1442 ref 2014 remove cons nil cons cons cons nil cons cons 1980 ref 56 ref 1400 ref 1526 ref appTerm 130 ref 1986 ref appTerm 2029 def 1310 ref appTerm 2030 def appTerm appTerm 1908 ref 1986 ref appTerm 2031 def appTerm absTerm 2032 def 1986 ref appTerm 2033 def betaConv 1442 ref 19 ref 2032 ref appTerm 2034 def absTerm 2035 def 1447 ref appTerm 2036 def betaConv 1308 ref 19 ref 2035 ref appTerm 2037 def absTerm 2038 def 1310 ref appTerm 2039 def betaConv nil 19 ref 2038 ref appTerm 2040 def axiom 2041 def nil 346 ref 2040 remove nil cons cons 2042 def 347 ref 2039 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2038 ref nil cons cons 2043 def 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2037 remove nil cons cons 347 ref 2036 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2035 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2034 remove nil cons cons 347 ref 2033 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2032 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 2044 def subst trans trans trans sym "l" 1884 ref var 2045 def 1400 ref 1886 ref 2045 remove varTerm 2046 def appTerm appTerm 1898 ref "Data.List.length" const 1885 remove constTerm 2047 def 2046 remove appTerm appTerm appTerm absTerm 2048 def 1891 ref appTerm 2049 def betaConv nil 7 ref 0 ref 0 ref 1884 ref 3 ref cons opType 2050 def 3 ref cons opType constTerm 2051 def 2048 ref appTerm 2052 def axiom nil 346 ref 2052 remove nil cons cons 347 ref 2049 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 1887 ref cons nil cons 2053 def "P" 2050 ref var 2054 def 2048 remove nil cons cons "x" 1884 ref var 2055 def 1891 ref nil cons 2056 def cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 2057 def nil 346 ref 1400 ref 1892 ref appTerm 2058 def 1898 ref 2047 ref 1891 ref appTerm appTerm appTerm nil cons cons 2059 def 347 ref 2058 ref 1899 ref appTerm 2060 def nil cons 2061 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 2058 remove refl 1898 ref refl 2062 def nil 416 ref nil cons cons 20 ref 122 ref 2047 remove 1889 ref 857 ref appTerm 29 ref appTerm 2063 def appTerm appTerm 1078 ref appTerm absTerm 2064 def 29 ref appTerm 2065 def betaConv 415 ref 19 ref 2064 ref appTerm 2066 def absTerm 2067 def 857 ref appTerm 2068 def betaConv nil 11 ref 2067 ref appTerm 2069 def axiom nil 346 ref 2069 remove nil cons cons 347 ref 2068 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 2067 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2066 remove nil cons cons 347 ref 2065 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2064 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp subst 2070 def appThm appThm appThm 2060 remove refl appThm nil 77 ref 2061 remove cons nil cons nil cons cons 851 ref subst trans sym 81 ref eqMp eqMp eqMp eqMp eqMp 99 ref refl 2071 def 1055 ref 122 ref 1448 ref appTerm 2072 def refl nil 1442 ref 1107 ref cons 2073 def 1308 ref 1982 ref cons nil cons 2074 def cons nil cons cons 2075 def 1533 ref subst appThm absThm appThm nil 2013 remove 2074 ref cons nil cons cons 1442 ref 56 ref 1614 ref appTerm 2076 def 99 ref 1055 ref 122 ref 1447 ref appTerm 2077 def 1311 ref 1058 ref appTerm appTerm absTerm appTerm appTerm absTerm 2078 def 1447 ref appTerm 2079 def betaConv 1308 ref 19 ref 2078 ref appTerm 2080 def absTerm 2081 def 1310 ref appTerm 2082 def betaConv nil 19 ref 2081 ref appTerm 2083 def axiom nil 346 ref 2083 remove nil cons cons 347 ref 2082 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2081 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2080 remove nil cons cons 347 ref 2079 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2078 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2084 def subst 1612 ref 124 ref appTerm 2085 def 1448 ref appTerm assume eqMp eqMp nil 346 ref 99 ref 1055 ref 2072 ref 1080 ref 124 ref appTerm appTerm absTerm 2086 def appTerm 2087 def nil cons cons 347 ref 1907 ref 1400 ref 1448 ref appTerm 1377 ref 1487 ref appTerm 2088 def appTerm appTerm 2089 def nil cons 2090 def cons nil cons 2091 def cons nil cons cons 403 ref subst proveHyp nil 90 ref 1308 ref 23 ref 2086 ref 1310 ref appTerm 2092 def appTerm 2089 ref appTerm 2093 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 2093 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2092 ref nil cons 2094 def cons 2091 ref cons nil cons cons 2095 def 362 ref subst 2095 remove 412 ref subst 2092 ref betaConv 2092 remove assume eqMp nil 346 ref 2072 ref 1311 ref 124 ref appTerm 2096 def appTerm 2097 def nil cons 2098 def cons 2091 ref cons nil cons cons 2099 def 403 ref subst proveHyp 2099 ref 362 ref subst 2099 remove 412 ref subst nil 346 ref 1966 ref cons 2100 def 2091 remove cons nil cons cons 403 ref subst nil 346 ref 1965 remove cons 347 ref 23 ref 37 remove appTerm 2101 def 2089 ref appTerm 2102 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 346 ref 1962 remove cons 2103 def 347 ref 23 ref 1956 remove appTerm 2102 remove appTerm 2104 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 1930 ref 347 ref 23 ref 1881 ref appTerm 2105 def 2104 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst 56 ref "_33995" 16 ref var 2106 def 23 ref 1928 ref appTerm 2107 def 2105 ref 23 ref 122 ref 1893 ref 1377 ref 2106 remove varTerm 2108 def appTerm appTerm appTerm 1901 ref appTerm appTerm 2101 ref 1907 ref 1400 ref 2108 remove appTerm 2088 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 2109 def 1448 ref appTerm 2110 def appTerm refl 2109 ref 2096 ref appTerm betaConv appThm 383 ref 2110 remove betaConv appThm 2107 ref 2105 ref 23 ref 122 ref 1893 ref 1377 ref 2096 ref appTerm appTerm appTerm 1901 ref appTerm appTerm 2101 ref 1907 ref 1400 ref 2096 ref appTerm 2111 def 2088 ref appTerm appTerm appTerm 2112 def appTerm appTerm appTerm refl appThm trans 2109 remove refl 2097 remove assume appThm eqMp sym 2107 ref refl 2113 def 2105 ref refl 2114 def 96 ref 1519 ref 1893 ref refl 2115 def nil 1984 remove nil cons cons 2116 def 1442 ref 122 ref 1660 ref appTerm 2117 def 130 ref 1428 ref appTerm 1447 ref appTerm 2118 def appTerm 2119 def absTerm 2120 def 1447 ref appTerm 2121 def betaConv 1308 ref 19 ref 2120 ref appTerm 2122 def absTerm 2123 def 1310 ref appTerm 2124 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 2119 remove assume sym 122 ref 2118 remove appTerm 1660 remove appTerm 2125 def assume sym deductAntisym absThm appThm absThm appThm nil 19 ref 1308 ref 19 ref 1442 ref 2125 remove absTerm 2126 def appTerm 2127 def absTerm 2128 def appTerm 2129 def axiom 2130 def eqMp nil 346 ref 19 ref 2123 ref appTerm nil cons cons 347 ref 2124 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2123 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2122 remove nil cons cons 347 ref 2121 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2120 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2131 def subst appThm nil 1980 ref 1982 ref cons 2132 def 1442 ref 1428 ref nil cons 2133 def cons 2015 remove cons cons nil cons cons 1980 ref 122 ref 1311 ref 1525 ref 1986 ref appTerm 2134 def appTerm 2135 def appTerm 130 ref 1523 ref appTerm 1986 ref appTerm 2136 def appTerm 2137 def absTerm 2138 def 1986 ref appTerm 2139 def betaConv 1442 ref 19 ref 2138 ref appTerm 2140 def absTerm 2141 def 1447 ref appTerm 2142 def betaConv 1308 ref 19 ref 2141 ref appTerm 2143 def absTerm 2144 def 1310 ref appTerm 2145 def betaConv nil 19 ref 2144 ref appTerm 2146 def axiom 2147 def nil 346 ref 2146 remove nil cons cons 347 ref 2145 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2144 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2143 remove nil cons cons 347 ref 2142 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2141 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2140 remove nil cons cons 347 ref 2139 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2138 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 2148 def subst trans appThm 1901 ref refl 2149 def appThm nil 1442 ref 2008 remove cons 2132 remove 1308 ref 1893 ref 1428 ref appTerm nil cons cons nil cons cons cons nil cons cons 1442 ref 56 ref 122 ref 1997 ref appTerm 2134 ref appTerm appTerm 122 ref 1310 ref appTerm 2150 def 1447 ref appTerm 2151 def appTerm absTerm 2152 def 1447 ref appTerm 2153 def betaConv 1308 ref 19 ref 2152 ref appTerm 2154 def absTerm 2155 def 1310 ref appTerm 2156 def betaConv 1980 ref 19 ref 2155 ref appTerm 2157 def absTerm 2158 def 1986 ref appTerm 2159 def betaConv nil 19 ref 2158 ref appTerm 2160 def axiom nil 346 ref 2160 remove nil cons cons 347 ref 2159 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2158 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2157 remove nil cons cons 347 ref 2156 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2155 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2154 remove nil cons cons 347 ref 2153 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2152 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2161 def subst trans appThm 2112 remove refl appThm appThm appThm sym 2113 ref 2114 remove 96 ref 1519 ref 2115 ref 1673 ref appThm appThm 1899 ref refl appThm appThm 2101 ref refl 1969 ref 2111 ref refl 2162 def nil 1308 ref 1970 ref cons 2163 def nil cons 2164 def nil cons cons 2165 def 1673 ref subst 2166 def appThm appThm appThm appThm appThm appThm sym nil 1930 ref 347 ref 2105 ref 23 ref 122 ref 1893 ref 1427 ref appTerm appTerm 1899 ref appTerm 2167 def appTerm 2101 remove 1907 ref 2111 remove 1492 ref 135 ref appTerm 2168 def appTerm appTerm 2169 def appTerm 2170 def appTerm 2171 def appTerm nil cons 2172 def cons nil cons cons nil cons cons 2173 def 362 ref subst 2173 remove 412 ref subst nil 2103 ref 347 ref 2171 remove nil cons 2174 def cons nil cons cons nil cons cons 2175 def 362 ref subst 2175 remove 412 ref subst nil 346 ref 2167 ref nil cons 2176 def cons 347 ref 2170 remove nil cons 2177 def cons nil cons cons nil cons cons 2178 def 362 ref subst 2178 remove 412 ref subst nil 2100 ref 347 ref 2169 remove nil cons 2179 def cons nil cons cons nil cons cons 2180 def 362 ref subst 2180 remove 412 ref subst 1969 remove 2162 remove 2165 remove 1439 ref subst 2181 def appThm nil 1971 ref 1308 ref 2096 ref nil cons cons nil cons cons nil cons cons 1621 ref subst trans appThm sym "f" 129 ref var 2182 def 98 ref 0 ref 0 ref 127 ref 3 ref cons opType 2183 def 3 ref cons opType 2184 def constTerm 2185 def "fn" 127 ref var 2186 def 24 ref 122 ref 2186 ref varTerm 2187 def 134 ref appTerm appTerm 2188 def 134 ref appTerm appTerm 2189 def 19 ref 1442 ref 122 ref 2187 ref 1448 ref appTerm appTerm 2190 def 2182 ref varTerm 2187 remove 1447 ref appTerm 2191 def appTerm 1447 ref appTerm appTerm absTerm appTerm 2192 def appTerm absTerm appTerm absTerm 2193 def "fu" 16 ref var 2194 def "u" 16 ref var 2195 def 130 ref 1377 ref 2194 remove varTerm appTerm appTerm 706 ref 0 ref 2 ref 129 ref nil cons 2196 def cons opType constTerm 2197 def 28 ref 2195 ref varTerm 2198 def appTerm appTerm 135 ref appTerm 134 ref appTerm 2199 def appTerm absTerm absTerm 2200 def appTerm 2201 def betaConv "e" 16 ref var 2202 def 7 ref 0 ref 0 ref 129 ref 3 ref cons opType 2203 def 3 ref cons opType constTerm 2204 def 2182 remove 2185 ref 2186 ref 24 ref 2188 remove 2202 remove varTerm appTerm appTerm 2192 remove appTerm absTerm appTerm absTerm appTerm absTerm 2205 def 134 ref appTerm 2206 def betaConv 94 ref nil 61 ref "e" 57 ref var 2207 def 7 ref 0 ref 0 ref 0 ref 57 ref 0 ref 16 ref 802 ref cons opType 2208 def nil cons 2209 def cons opType 2210 def 3 ref cons opType 2211 def 3 ref cons opType constTerm 2212 def "f" 2210 ref var 2213 def 98 ref 0 ref 0 ref 2208 ref 3 ref cons opType 2214 def 3 ref cons opType 2215 def constTerm "fn" 2208 ref var 2216 def 24 ref 801 ref 2216 remove varTerm 2217 def 134 ref appTerm appTerm 2207 ref varTerm 2218 def appTerm appTerm 19 ref 1442 ref 801 ref 2217 ref 1448 ref appTerm appTerm 2213 ref varTerm 2219 def 2217 remove 1447 ref appTerm appTerm 1447 ref appTerm appTerm absTerm appTerm appTerm absTerm 2220 def appTerm 2221 def absTerm 2222 def appTerm 2223 def absTerm nil cons cons nil cons nil cons cons 75 ref subst 2207 ref nil 77 ref 2223 remove nil cons cons nil cons nil cons cons 82 ref subst nil "P" 2211 remove var 2224 def 2222 remove nil cons cons nil cons nil cons cons "A" 2210 ref nil cons cons nil cons 2225 def 53 ref cons 75 ref subst subst 2213 ref nil 77 ref 2221 remove nil cons 2226 def cons nil cons nil cons cons 82 ref subst 2213 remove "Data.Bool.?!" const 2227 def 2215 ref constTerm 2220 ref appTerm 2228 def absTerm 2229 def 2219 ref appTerm 2230 def betaConv 2207 remove 2212 remove 2229 ref appTerm 2231 def absTerm 2232 def 2218 ref appTerm 2233 def betaConv nil 60 ref 2232 ref appTerm 2234 def axiom nil 346 ref 2234 remove nil cons cons 347 ref 2233 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 2232 remove nil cons cons 66 ref 2218 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2231 remove nil cons cons 347 ref 2230 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2225 remove 2224 remove 2229 remove nil cons cons "x" 2210 remove var 2219 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2228 remove nil cons cons 347 ref 2226 remove cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 2209 ref cons nil cons 2235 def "P" 2214 ref var 2236 def 2220 remove nil cons cons nil cons nil cons cons nil 346 ref 2227 remove 59 ref constTerm 2237 def 62 ref appTerm 2238 def nil cons 2239 def cons 2240 def 347 ref 871 ref cons nil cons cons nil cons cons 2241 def 362 ref subst 2241 remove 412 ref subst nil 2240 remove 347 ref 24 ref 867 remove appTerm 60 ref 66 ref 60 ref "y" 57 ref var 2242 def 23 ref 24 ref 409 remove appTerm 62 ref 2242 ref varTerm 2243 def appTerm appTerm appTerm 801 ref 408 ref appTerm 2244 def 2243 ref appTerm 2245 def appTerm absTerm appTerm absTerm appTerm 2246 def appTerm 2247 def nil cons cons nil cons cons nil cons cons 2248 def 403 ref subst 56 ref 2238 ref appTerm 2249 def refl 64 ref 24 ref 866 ref 65 ref appTerm appTerm 60 ref 66 ref 60 ref 2242 ref 23 ref 24 ref 883 ref appTerm 65 ref 2243 ref appTerm 2250 def appTerm appTerm 2245 ref appTerm absTerm appTerm absTerm appTerm appTerm absTerm 2251 def 62 remove appTerm betaConv appThm nil 72 remove 2237 remove appTerm 2251 remove appTerm axiom 73 remove appThm eqMp nil 346 ref 2249 remove 2247 ref appTerm nil cons cons 347 ref 23 ref 2238 remove appTerm 2247 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2248 remove 889 remove subst eqMp eqMp nil 890 remove 381 ref 2246 remove nil cons cons nil cons cons nil cons cons 395 ref subst proveHyp eqMp nil 379 ref 2239 remove cons 381 ref 871 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp subst eqMp eqMp absThm eqMp eqMp absThm eqMp subst nil 346 ref 19 ref 2205 ref appTerm nil cons cons 347 ref 2206 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2205 remove nil cons cons 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2204 remove 2193 ref appTerm nil cons cons 347 ref 2201 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 2196 remove cons nil cons "P" 2203 remove var 2193 remove nil cons cons "x" 129 ref var 2200 ref nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2185 ref 2186 ref 2189 ref 19 ref 1442 ref 2190 ref 2200 remove 2191 ref appTerm 2252 def 1447 ref appTerm appTerm absTerm appTerm appTerm absTerm appTerm nil cons cons 347 ref 2185 ref "f" 127 ref var 2253 def 24 ref 122 ref 2253 ref varTerm 2254 def 134 ref appTerm 2255 def appTerm 134 ref appTerm 2256 def appTerm 19 ref 2195 ref 122 ref 2254 ref 1377 ref 2198 ref appTerm appTerm appTerm 130 ref 1377 ref 2254 ref 2198 ref appTerm appTerm appTerm 2199 ref appTerm appTerm absTerm 2257 def appTerm 2258 def appTerm 2259 def absTerm 2260 def appTerm 2261 def nil cons 2262 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 2185 ref refl 2186 ref 2189 ref refl 1432 ref 1442 ref 2190 ref refl 2252 remove betaConv 1447 ref refl 2263 def appThm 2195 ref 130 ref 1377 ref 2191 remove appTerm appTerm 2264 def 2199 remove appTerm absTerm 1447 ref appTerm betaConv trans appThm absThm appThm appThm absThm appThm appThm 2261 ref refl appThm nil 77 ref 2185 ref 2186 remove 2189 remove 19 ref 1442 ref 2190 remove 2264 remove 2197 ref 28 ref 1447 ref appTerm appTerm 135 ref appTerm 134 ref appTerm 2265 def appTerm appTerm absTerm appTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 851 ref subst trans sym 81 ref eqMp eqMp nil 346 ref 2262 remove cons 347 ref 1907 ref 1612 ref 2096 remove appTerm 1487 ref appTerm 2266 def appTerm 2267 def nil cons 2268 def cons nil cons 2269 def cons nil cons cons 403 ref subst nil "P" 2183 ref var 2270 def 2253 ref 23 ref 2260 ref 2254 ref appTerm 2271 def appTerm 2267 ref appTerm 2272 def absTerm nil cons cons nil cons nil cons cons "A" 128 ref cons nil cons 2273 def 53 ref cons 2274 def 75 ref subst 2275 def subst 2253 ref nil 77 ref 2272 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2271 ref nil cons 2276 def cons 2269 ref cons nil cons cons 2277 def 362 ref subst 2277 remove 412 ref subst 2271 ref betaConv 2271 remove assume eqMp nil 346 ref 2259 remove nil cons 2278 def cons 2269 ref cons nil cons cons 2279 def 403 ref subst proveHyp 2279 ref 362 ref subst 2279 remove 412 ref subst nil 379 ref 2256 ref nil cons cons 381 ref 2258 remove nil cons 2280 def cons nil cons cons nil cons cons 428 ref subst 383 ref nil 346 ref 19 ref 1158 ref 19 ref "j" 16 ref var 2281 def 56 ref 1612 ref 2254 ref 1161 ref appTerm 2282 def appTerm 2254 ref 2281 ref varTerm 2283 def appTerm 2284 def appTerm appTerm 1622 ref 2283 ref appTerm 2285 def appTerm absTerm 2286 def appTerm 2287 def absTerm 2288 def appTerm 2289 def nil cons 2290 def cons 2291 def 347 ref 19 ref 1158 ref 19 ref 2281 ref 56 ref 1400 ref 2282 ref appTerm 2292 def 2284 ref appTerm 2293 def appTerm 1406 ref 2283 ref appTerm 2294 def appTerm 2295 def absTerm 2296 def appTerm 2297 def absTerm 2298 def appTerm 2299 def nil cons 2300 def cons nil cons 2301 def cons nil cons cons 2302 def 778 ref subst 2302 ref 362 ref subst 2302 remove 412 ref subst 1432 ref 1158 ref 1432 ref 2281 ref 383 ref nil 1308 ref 2284 ref nil cons 2303 def cons 2304 def 1442 ref 2282 ref nil cons 2305 def cons 2306 def nil cons cons nil cons cons 2307 def 1442 ref 56 ref 1908 ref 1310 ref appTerm 2308 def appTerm 38 ref 1614 ref appTerm 2309 def appTerm 2310 def absTerm 2311 def 1447 ref appTerm 2312 def betaConv 1308 ref 19 ref 2311 ref appTerm 2313 def absTerm 2314 def 1310 ref appTerm 2315 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 2310 remove assume sym 56 ref 2309 remove appTerm 2308 remove appTerm 2316 def assume sym deductAntisym absThm appThm absThm appThm nil 19 ref 1308 ref 19 ref 1442 ref 2316 remove absTerm 2317 def appTerm 2318 def absTerm 2319 def appTerm 2320 def axiom 2321 def eqMp nil 346 ref 19 ref 2314 ref appTerm nil cons cons 347 ref 2315 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2314 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2313 remove nil cons cons 347 ref 2312 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2311 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2322 def subst 2323 def 839 ref nil 2281 ref 1444 ref cons 1158 ref 2283 ref nil cons 2324 def cons nil cons cons nil cons cons 2325 def 2286 ref 2283 ref appTerm 2326 def betaConv 2288 ref 1161 ref appTerm 2327 def betaConv nil 2291 remove 347 ref 2327 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 2288 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2287 remove nil cons cons 347 ref 2326 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2286 remove nil cons cons 700 ref 2324 ref cons 2328 def nil cons 2329 def cons nil cons cons 414 ref subst eqMp eqMp subst appThm trans appThm nil 1308 ref 2324 ref cons 2330 def 1709 remove cons nil cons cons 2331 def 2322 ref subst 2332 def appThm nil 789 ref 38 ref 1612 ref 2283 ref appTerm 2333 def 1161 ref appTerm 2334 def appTerm nil cons cons nil cons nil cons cons 798 ref nil 77 ref 2244 ref 408 ref appTerm nil cons cons nil cons nil cons cons 82 ref subst 413 remove eqMp 2335 def subst 2336 def subst trans absThm appThm 1029 ref 94 ref 77 ref 56 ref 60 ref 66 ref 78 ref absTerm 2337 def appTerm appTerm 78 ref appTerm absTerm 2338 def 78 ref appTerm 2339 def betaConv nil 785 ref 2338 ref appTerm 2340 def axiom nil 346 ref 2340 remove nil cons cons 347 ref 2339 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 2338 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 2341 def subst subst 2342 def trans absThm appThm 2342 ref trans sym 81 ref eqMp eqMp nil 379 ref 2290 ref cons 381 ref 2300 ref cons nil cons 2343 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 23 ref 2289 ref appTerm 2299 ref appTerm nil cons cons 347 ref 23 ref 2299 ref appTerm 2344 def 2289 remove appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 2300 ref cons 2345 def 347 ref 2290 ref cons nil cons cons nil cons cons 2346 def 362 ref subst 2346 remove 412 ref subst 1432 ref 1158 ref 1432 ref 2281 ref 383 ref 2307 remove 1442 ref 56 ref 1985 ref 1310 ref appTerm 2347 def appTerm 38 ref 1451 ref appTerm 2348 def appTerm 2349 def absTerm 2350 def 1447 ref appTerm 2351 def betaConv 1308 ref 19 ref 2350 ref appTerm 2352 def absTerm 2353 def 1310 ref appTerm 2354 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 2349 remove assume sym 56 ref 2348 remove appTerm 2347 ref appTerm 2355 def assume sym deductAntisym absThm appThm absThm appThm nil 19 ref 1308 ref 19 ref 1442 ref 2355 remove absTerm 2356 def appTerm 2357 def absTerm 2358 def appTerm 2359 def axiom 2360 def eqMp nil 346 ref 19 ref 2353 ref appTerm nil cons cons 347 ref 2354 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2353 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2352 remove nil cons cons 347 ref 2351 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2350 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2361 def subst 839 ref 2325 ref 2296 ref 2283 ref appTerm 2362 def betaConv 2298 ref 1161 ref appTerm 2363 def betaConv nil 2345 ref 347 ref 2363 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 2298 remove nil cons cons 2364 def 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2297 remove nil cons 2365 def cons 347 ref 2362 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2296 remove nil cons cons 2366 def 2329 ref cons nil cons cons 414 ref subst eqMp eqMp 2367 def subst appThm trans appThm 2331 remove 2361 ref subst appThm nil 789 ref 38 ref 1400 ref 2283 ref appTerm 2368 def 1161 ref appTerm 2369 def appTerm nil cons cons nil cons nil cons cons 2336 ref subst trans absThm appThm 2342 ref trans absThm appThm 2342 ref trans sym 81 ref eqMp eqMp nil 379 ref 2300 remove cons 2370 def 381 ref 2290 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 2345 remove 347 ref 19 ref 1158 ref 19 ref 2281 ref 23 ref 2294 ref appTerm 2371 def 2293 ref appTerm 2372 def absTerm 2373 def appTerm 2374 def absTerm 2375 def appTerm 2376 def nil cons 2377 def cons nil cons 2378 def cons nil cons cons 2379 def 778 ref subst 2379 ref 362 ref subst 2379 remove 412 ref subst 1432 ref 1158 ref 1432 ref 2281 ref 2371 remove refl 2367 remove appThm nil 77 ref 2294 ref nil cons 2380 def cons nil cons nil cons cons 851 ref subst trans absThm appThm 2342 ref trans absThm appThm 2342 ref trans sym 81 ref eqMp eqMp nil 2370 remove 381 ref 2377 ref cons nil cons 2381 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 2344 remove 2376 ref appTerm nil cons cons 347 ref 23 ref 2376 ref appTerm 2382 def 2299 remove appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 2377 ref cons 2383 def 2301 remove cons nil cons cons 2384 def 362 ref subst 2384 remove 412 ref subst nil 2364 remove nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 2365 remove cons nil cons nil cons cons 82 ref subst nil 2366 remove nil cons nil cons cons 95 ref subst 2281 ref nil 77 ref 2295 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2293 ref nil cons 2385 def cons 347 ref 2380 ref cons nil cons cons nil cons cons 778 ref subst 96 ref 2323 remove appThm 2332 remove appThm nil 794 ref 2334 remove nil cons cons 796 ref 1612 ref 2284 ref appTerm 2386 def 2282 ref appTerm nil cons cons nil cons cons nil cons cons 794 ref 56 ref 23 ref 38 ref 796 ref varTerm 2387 def appTerm appTerm 38 ref 794 ref varTerm 2388 def appTerm appTerm 2389 def appTerm 23 ref 2388 ref appTerm 2387 ref appTerm 2390 def appTerm 2391 def absTerm 2392 def 2388 ref appTerm 2393 def betaConv 796 ref 785 ref 2392 ref appTerm 2394 def absTerm 2395 def 2387 ref appTerm 2396 def betaConv nil 785 ref 2395 ref appTerm 2397 def axiom 2398 def nil 346 ref 2397 remove nil cons cons 347 ref 2396 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 2395 remove nil cons cons 789 ref 2387 ref nil cons cons nil cons 2399 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2394 remove nil cons cons 347 ref 2393 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 2392 remove nil cons cons 789 ref 2388 ref nil cons cons nil cons 2400 def cons nil cons cons 414 ref subst eqMp eqMp subst trans sym 96 ref nil 1658 ref 2330 remove nil cons 2401 def cons nil cons cons 2402 def 1442 ref 2076 ref "Data.Bool.\\/" const 22 remove constTerm 2403 def 1451 ref appTerm 2151 ref appTerm appTerm absTerm 2404 def 1447 ref appTerm 2405 def betaConv 1308 ref 19 ref 2404 ref appTerm 2406 def absTerm 2407 def 1310 ref appTerm 2408 def betaConv nil 19 ref 2407 ref appTerm 2409 def axiom nil 346 ref 2409 remove nil cons cons 347 ref 2408 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2407 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2406 remove nil cons cons 347 ref 2405 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2404 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2410 def subst appThm nil 2306 remove 2304 remove nil cons cons nil cons cons 2410 remove subst appThm sym nil 346 ref 2403 ref 2369 ref appTerm 122 ref 2283 ref appTerm 2411 def 1161 ref appTerm 2412 def appTerm nil cons 2413 def cons 347 ref 2403 ref 1400 ref 2284 ref appTerm 2282 ref appTerm 2414 def appTerm 122 ref 2284 ref appTerm 2282 remove appTerm 2415 def appTerm nil cons 2416 def cons nil cons 2417 def cons nil cons cons 2418 def 362 ref subst 2418 remove 412 ref subst nil 346 ref 2412 ref nil cons 2419 def cons 2417 ref cons nil cons cons 2420 def 362 ref subst 2420 remove 412 ref subst 2254 ref refl 2421 def 2412 remove assume appThm nil 379 ref 2414 remove nil cons 2422 def cons 381 ref 2415 remove nil cons cons nil cons cons nil cons cons 2423 def 56 ref 2403 ref 384 ref appTerm 2424 def 386 ref appTerm 2425 def appTerm refl 347 ref 785 ref "r" 2 ref var 2426 def 23 ref 779 ref 2426 ref varTerm 2427 def appTerm appTerm 2428 def 23 ref 772 remove 2427 ref appTerm 2429 def appTerm 2427 ref appTerm 2430 def appTerm absTerm appTerm absTerm 386 ref appTerm betaConv appThm 370 remove 2424 remove appTerm refl 346 ref 347 ref 785 ref 2426 ref 23 ref 349 ref 2427 ref appTerm appTerm 2430 remove appTerm absTerm appTerm absTerm absTerm 2431 def 384 remove appTerm betaConv appThm nil 359 remove 2403 ref appTerm 2431 remove appTerm axiom 393 remove appThm eqMp 389 remove appThm eqMp 2432 def sym 2433 def nil 788 ref 77 ref 23 ref 779 ref 78 ref appTerm 2434 def appTerm 23 ref 23 ref 386 remove appTerm 2435 def 78 ref appTerm 2436 def appTerm 78 ref appTerm 2437 def appTerm 2438 def absTerm nil cons cons nil cons nil cons cons 1153 remove subst 2439 def 77 ref nil 77 ref 2438 remove nil cons cons nil cons nil cons cons 82 ref subst 2440 def nil 346 ref 2434 ref nil cons 2441 def cons 347 ref 2437 remove nil cons 2442 def cons nil cons cons nil cons cons 2443 def 362 ref subst 2444 def 2443 remove 412 ref subst 2445 def nil 346 ref 2436 ref nil cons 2446 def cons 347 ref 824 ref cons nil cons 2447 def cons nil cons cons 2448 def 362 ref subst 2449 def 2448 remove 412 ref subst 2450 def nil 346 ref 873 remove cons 2447 ref cons nil cons cons 403 ref subst 2436 remove assume eqMp eqMp nil 379 ref 2446 remove cons 381 ref 824 remove cons nil cons cons nil cons cons 395 ref subst 2451 def deductAntisym eqMp eqMp nil 379 ref 2441 remove cons 381 ref 2442 remove cons nil cons cons nil cons cons 395 ref subst 2452 def deductAntisym eqMp eqMp absThm eqMp eqMp subst proveHyp eqMp nil 379 ref 2419 ref cons 381 ref 2416 ref cons nil cons 2453 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 2369 remove nil cons 2454 def cons 2455 def 2417 remove cons nil cons cons 2456 def 362 ref subst 2456 remove 412 ref subst nil 2455 remove 347 ref 2422 remove cons nil cons cons nil cons cons 403 ref subst 2325 remove 2373 ref 2283 ref appTerm 2457 def betaConv 2375 ref 1161 ref appTerm 2458 def betaConv nil 2383 ref 347 ref 2458 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 2375 remove nil cons cons 2459 def 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2374 remove nil cons 2460 def cons 347 ref 2457 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2373 remove nil cons cons 2461 def 2329 ref cons nil cons cons 414 ref subst eqMp eqMp 2462 def subst eqMp 2423 remove 2433 remove 2439 remove 77 ref 2440 remove 2444 remove 2445 remove 2449 remove 2450 remove nil 766 remove 2447 remove cons nil cons cons 403 ref subst 2434 remove assume eqMp eqMp 2451 remove deductAntisym eqMp eqMp 2452 remove deductAntisym eqMp eqMp absThm eqMp eqMp subst proveHyp eqMp nil 379 ref 2454 remove cons 2463 def 2453 ref cons nil cons cons 395 ref subst deductAntisym eqMp nil 2463 remove 381 ref 2419 remove cons "R" 2 ref var 2464 def 2416 remove cons nil cons cons cons nil cons cons nil 346 ref 2435 ref 2464 ref varTerm 2465 def appTerm 2466 def nil cons cons 347 ref 2465 ref nil cons 2467 def cons nil cons cons nil cons cons 403 ref subst nil 346 ref 779 remove 2465 ref appTerm nil cons cons 347 ref 23 ref 2466 remove appTerm 2465 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst 2426 ref 2428 remove 23 ref 2435 remove 2427 ref appTerm appTerm 2427 ref appTerm appTerm absTerm 2468 def 2465 remove appTerm 2469 def betaConv 2432 remove 2425 remove assume eqMp nil 346 ref 785 ref 2468 ref appTerm nil cons cons 347 ref 2469 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 2468 remove nil cons cons 789 ref 2467 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp 2470 def subst proveHyp proveHyp eqMp nil 379 ref 2413 remove cons 2453 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 346 ref 23 ref 2293 ref appTerm 2294 ref appTerm nil cons cons 347 ref 2372 remove nil cons 2471 def cons nil cons cons nil cons cons 412 ref subst proveHyp 2462 ref eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 379 ref 2377 remove cons 2472 def 2343 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp trans appThm 19 ref 1442 ref 1400 ref 2254 ref 1447 ref appTerm 2473 def appTerm 2474 def 2254 ref 1448 ref appTerm appTerm 2475 def absTerm 2476 def appTerm 2477 def refl appThm sym nil 2383 remove 347 ref 2477 ref nil cons 2478 def cons nil cons cons nil cons cons 2479 def 778 ref subst 2479 ref 362 ref subst 2479 remove 412 ref subst nil 90 ref 2476 ref nil cons cons 2480 def nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 2475 remove nil cons 2481 def cons nil cons nil cons cons 82 ref subst 2482 def 1442 ref 1908 ref 1448 ref appTerm 2483 def absTerm 2484 def 1447 ref appTerm 2485 def betaConv nil 19 ref 2484 ref appTerm 2486 def axiom nil 346 ref 2486 remove nil cons cons 347 ref 2485 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2484 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2487 def nil 346 ref 2483 remove nil cons 2488 def cons 347 ref 2481 remove cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2281 ref 1981 remove cons 1158 ref 1460 ref cons nil cons cons nil cons cons 2462 remove subst eqMp eqMp absThm eqMp eqMp nil 2472 remove 381 ref 2478 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 2382 remove 2477 ref appTerm nil cons cons 347 ref 23 ref 2477 remove appTerm 2376 remove appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 2478 ref cons 2489 def 2378 remove cons nil cons cons 2490 def 362 ref subst 2490 remove 412 ref subst nil 2459 remove nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 2460 remove cons nil cons nil cons cons 82 ref subst nil 2461 remove nil cons nil cons cons 95 ref subst 2281 ref nil 77 ref 2471 remove cons nil cons nil cons cons 82 ref subst nil 346 ref 2380 ref cons 347 ref 2385 ref cons nil cons 2491 def cons nil cons cons 2492 def 362 ref subst 2492 remove 412 ref subst nil 1442 ref 2324 ref cons 2493 def 1445 ref cons nil cons cons 1442 ref 1972 ref 99 ref 1055 ref 2077 ref 1311 ref 1377 ref 1058 ref appTerm 2494 def appTerm appTerm absTerm appTerm appTerm absTerm 2495 def 1447 ref appTerm 2496 def betaConv 1308 ref 19 ref 2495 ref appTerm 2497 def absTerm 2498 def 1310 ref appTerm 2499 def betaConv nil 19 ref 2498 ref appTerm 2500 def axiom nil 346 ref 2500 remove nil cons cons 347 ref 2499 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2498 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2497 remove nil cons cons 347 ref 2496 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2495 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2501 def subst 2294 remove assume eqMp nil 346 ref 99 ref 1055 ref 2411 ref 130 ref 1161 ref appTerm 2502 def 2494 ref appTerm 2503 def appTerm 2504 def absTerm 2505 def appTerm 2506 def nil cons cons 2491 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1055 ref 23 ref 2505 ref 1058 ref appTerm 2507 def appTerm 2293 ref appTerm 2508 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 2508 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2507 ref nil cons 2509 def cons 2491 ref cons nil cons cons 2510 def 362 ref subst 2510 remove 412 ref subst 2507 ref betaConv 2507 remove assume eqMp nil 346 ref 2504 ref nil cons 2511 def cons 2491 remove cons nil cons cons 2512 def 403 ref subst proveHyp 2512 ref 362 ref subst 2512 remove 412 ref subst 56 ref "_3542" 16 ref var 2513 def 2292 ref 2254 ref 2513 remove varTerm appTerm appTerm absTerm 2514 def 2283 ref appTerm 2515 def appTerm refl 2514 ref 2503 ref appTerm betaConv appThm 383 ref 2515 remove betaConv appThm 2292 ref 2254 ref 2503 ref appTerm 2516 def appTerm 2517 def refl appThm trans 2514 remove refl 2504 remove assume appThm eqMp sym 1055 ref 2517 ref absTerm 2518 def 1058 ref appTerm 2519 def betaConv 2520 def 2292 ref refl 2421 ref nil 1933 ref 1445 ref cons nil cons cons 1669 ref subst 1939 ref 1516 ref 1317 ref subst appThm trans appThm appThm 1710 ref 2482 remove 2476 remove 1447 ref appTerm 2521 def betaConv nil 2489 remove 347 ref 2521 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 2480 remove 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp 2522 def subst trans sym 81 ref eqMp nil 346 ref 2292 ref 2254 ref 2502 ref 1946 ref appTerm appTerm appTerm 2523 def nil cons cons 347 ref 19 ref 1055 ref 23 ref 2517 ref appTerm 2292 ref 2254 ref 2502 ref 1377 ref 2494 ref appTerm 2524 def appTerm appTerm 2525 def appTerm 2526 def appTerm 2527 def absTerm 2528 def appTerm 2529 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 90 ref 2528 remove nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 2527 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2517 ref nil cons 2530 def cons 347 ref 2526 remove nil cons 2531 def cons nil cons 2532 def cons nil cons cons 2533 def 362 ref subst 2533 remove 412 ref subst 1442 ref 24 ref 2292 remove 1447 ref appTerm appTerm 1908 ref 2525 ref appTerm appTerm absTerm 2534 def 2516 ref appTerm betaConv sym 1017 ref nil 77 ref 2530 ref cons nil cons nil cons cons 82 ref subst 2517 remove assume eqMp appThm 1400 ref 2516 ref appTerm 2525 ref appTerm 2535 def refl appThm nil 77 ref 2535 remove nil cons cons nil cons nil cons cons 1026 ref subst trans sym 1400 ref refl 2536 def 2421 ref nil 2073 ref 1445 ref cons nil cons cons 2537 def 1669 ref subst 2538 def appThm appThm 2421 ref nil 1442 ref 2494 ref nil cons 2539 def cons 2540 def 1445 ref cons 2541 def nil cons cons 1669 ref subst 1939 ref 2538 ref appThm trans appThm appThm nil 1442 ref 1377 ref 2502 ref 1058 ref appTerm 2542 def appTerm 2543 def nil cons cons 2544 def nil cons nil cons cons 2522 remove subst trans sym 81 ref eqMp eqMp eqMp 93 ref 90 ref 2534 ref nil cons cons 700 ref 2516 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 2534 remove appTerm nil cons cons 2532 remove cons nil cons cons 403 ref subst proveHyp nil 1980 ref 2525 remove nil cons cons 1308 ref 2305 remove cons nil cons cons nil cons cons 1980 ref 23 ref 99 ref 1442 ref 24 ref 1451 remove appTerm 2545 def 2031 ref appTerm 2546 def absTerm 2547 def appTerm 2548 def appTerm 2549 def 1450 ref 1986 ref appTerm 2550 def appTerm 2551 def absTerm 2552 def 1986 ref appTerm 2553 def betaConv 1308 ref 19 ref 2552 ref appTerm 2554 def absTerm 2555 def 1310 ref appTerm 2556 def betaConv nil 19 ref 1308 ref 19 ref 1442 ref 19 ref 1980 ref 23 ref 2546 ref appTerm 2550 ref appTerm absTerm 2557 def appTerm 2558 def absTerm 2559 def appTerm 2560 def absTerm 2561 def appTerm 2562 def axiom nil 346 ref 2562 ref nil cons 2563 def cons 2564 def 347 ref 19 ref 2555 ref appTerm nil cons 2565 def cons nil cons cons nil cons cons 2566 def 403 ref subst proveHyp 2566 ref 362 ref subst 2566 remove 412 ref subst nil 90 ref 2555 remove nil cons cons 2567 def nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 2554 remove nil cons 2568 def cons nil cons nil cons cons 82 ref subst nil 90 ref 2552 remove nil cons cons 2569 def nil cons nil cons cons 95 ref subst 1980 ref nil 77 ref 2551 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2548 remove nil cons 2570 def cons 2571 def 347 ref 2550 ref nil cons 2572 def cons nil cons 2573 def cons nil cons cons 2574 def 362 ref subst 2574 remove 412 ref subst nil 2564 ref 2573 ref cons nil cons cons 2575 def 403 ref subst nil 2571 remove 347 ref 23 ref 2562 remove appTerm 2550 ref appTerm 2576 def nil cons 2577 def cons nil cons 2578 def cons nil cons cons 403 ref subst nil 90 ref 1442 ref 23 ref 2547 ref 1447 ref appTerm 2579 def appTerm 2576 ref appTerm 2580 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 2580 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2579 ref nil cons 2581 def cons 2578 ref cons nil cons cons 2582 def 362 ref subst 2582 remove 412 ref subst 2579 ref betaConv 2579 remove assume eqMp nil 346 ref 2546 remove nil cons 2583 def cons 2584 def 2578 remove cons nil cons cons 2585 def 403 ref subst proveHyp 2585 ref 362 ref subst 2585 remove 412 ref subst 2575 ref 362 ref subst 2575 remove 412 ref subst nil 2584 remove 2573 ref cons nil cons cons 403 ref subst 2557 ref 1986 ref appTerm 2586 def betaConv 2559 ref 1447 ref appTerm 2587 def betaConv 2561 ref 1310 ref appTerm 2588 def betaConv nil 2564 remove 347 ref 2588 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 2561 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2560 remove nil cons cons 347 ref 2587 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2559 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2558 remove nil cons cons 347 ref 2586 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2557 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 2563 remove cons 2589 def 381 ref 2572 remove cons nil cons 2590 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 2583 remove cons 381 ref 2577 remove cons nil cons 2591 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 2581 remove cons 2591 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 2547 ref 963 ref appTerm appTerm 2576 ref appTerm absTerm appTerm nil cons cons 347 ref 2549 remove 2576 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2547 remove nil cons cons 2591 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 2570 remove cons 2590 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 2589 remove 381 ref 2565 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 2565 remove cons 347 ref 2556 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 2567 remove 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2568 remove cons 347 ref 2553 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 2569 remove 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 2592 def subst eqMp eqMp nil 379 ref 2530 remove cons 381 ref 2531 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 346 ref 24 ref 2523 remove appTerm 2529 remove appTerm nil cons cons 347 ref 19 ref 2518 ref appTerm nil cons 2593 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 1017 ref 2518 ref 134 ref appTerm betaConv appThm 1432 ref 1055 ref 96 ref 2520 ref appThm 2518 ref 2494 ref appTerm betaConv appThm absThm appThm appThm appThm 1432 ref 1055 ref 2520 remove absThm appThm appThm nil 1823 ref 2518 remove nil cons 2594 def cons nil cons nil cons cons 1836 ref subst eqMp eqMp nil 346 ref 2593 remove cons 347 ref 2519 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2594 remove cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 2511 remove cons 381 ref 2385 remove cons nil cons 2595 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 2509 remove cons 2595 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 2505 ref 963 ref appTerm appTerm 2293 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 2506 remove appTerm 2293 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2505 remove nil cons cons 2595 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 2380 remove cons 2595 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 379 ref 2478 remove cons 2381 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp 1432 ref 1442 ref 2474 remove refl nil 2195 ref 1460 ref cons nil cons nil cons cons 2257 ref 2198 ref appTerm 2596 def betaConv nil 346 ref 2280 remove cons 347 ref 2596 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 2257 remove nil cons cons 700 ref 2198 ref nil cons 2597 def cons nil cons 2598 def cons nil cons cons 414 ref subst eqMp eqMp 2599 def subst nil 1442 ref 2265 ref nil cons cons 1308 ref 2473 ref nil cons cons nil cons 2600 def cons nil cons cons 2601 def 2126 ref 1447 ref appTerm 2602 def betaConv 2128 ref 1310 ref appTerm 2603 def betaConv 2130 remove nil 346 ref 2129 remove nil cons cons 347 ref 2603 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2128 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2127 remove nil cons cons 347 ref 2602 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2126 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2604 def subst trans appThm nil 1442 ref 130 ref 2473 remove appTerm 2265 remove appTerm nil cons cons 2600 remove cons nil cons cons 1621 ref subst 2601 remove nil 77 ref 1613 ref 1523 ref appTerm 2605 def nil cons cons nil cons nil cons cons 82 ref subst 1442 ref 2605 remove absTerm 2606 def 1447 ref appTerm 2607 def betaConv 1308 ref 19 ref 2606 ref appTerm 2608 def absTerm 2609 def 1310 ref appTerm 2610 def betaConv nil 19 ref 2609 ref appTerm 2611 def axiom 2612 def nil 346 ref 2611 remove nil cons cons 2613 def 347 ref 2610 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2609 ref nil cons cons 2614 def 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2608 remove nil cons cons 347 ref 2607 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2606 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp 2615 def subst trans trans absThm appThm 2342 ref trans trans sym 81 ref eqMp 1432 ref "u1" 16 ref var 2616 def 1432 ref "u2" 16 ref var 2617 def 383 ref nil 1442 ref 2254 ref 2617 ref varTerm 2618 def appTerm 2619 def nil cons cons 1308 ref 2254 ref 2616 ref varTerm 2620 def appTerm 2621 def nil cons cons nil cons cons nil cons cons 1442 ref 56 ref 2151 ref appTerm 2622 def 24 ref 1614 ref appTerm 2623 def 2347 remove appTerm 2624 def appTerm 2625 def absTerm 2626 def 1447 ref appTerm 2627 def betaConv 1308 ref 19 ref 2626 ref appTerm 2628 def absTerm 2629 def 1310 ref appTerm 2630 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 2625 remove assume sym 56 ref 2624 remove appTerm 2151 ref appTerm 2631 def assume sym deductAntisym absThm appThm absThm appThm nil 19 ref 1308 ref 19 ref 1442 ref 2631 remove absTerm 2632 def appTerm 2633 def absTerm 2634 def appTerm 2635 def axiom 2636 def eqMp nil 346 ref 19 ref 2629 ref appTerm nil cons cons 347 ref 2630 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2629 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2628 remove nil cons cons 347 ref 2627 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2626 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2637 def subst 1017 ref 2617 ref 56 ref 1612 ref 2621 ref appTerm 2619 ref appTerm appTerm 1612 ref 2620 ref appTerm 2618 ref appTerm 2638 def appTerm absTerm 2639 def 2618 ref appTerm 2640 def betaConv 2616 ref 19 ref 2639 ref appTerm 2641 def absTerm 2642 def 2620 ref appTerm 2643 def betaConv nil 346 ref 19 ref 2642 ref appTerm nil cons cons 2644 def 347 ref 2643 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 2642 ref nil cons cons 2645 def 700 ref 2620 ref nil cons 2646 def cons nil cons 2647 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2641 remove nil cons cons 347 ref 2640 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2639 remove nil cons cons 700 ref 2618 ref nil cons 2648 def cons nil cons 2649 def cons nil cons cons 414 ref subst eqMp eqMp 2650 def appThm nil 2617 ref 2646 ref cons 2616 ref 2648 ref cons nil cons cons nil cons cons 2650 ref subst appThm trans appThm nil 1442 ref 2648 remove cons 1308 ref 2646 remove cons nil cons cons nil cons cons 2637 ref subst appThm nil 789 ref 24 ref 2638 remove appTerm 1612 ref 2618 ref appTerm 2620 ref appTerm appTerm nil cons cons nil cons nil cons cons 2336 ref subst trans absThm appThm 2342 ref trans absThm appThm 2342 ref trans sym 81 ref eqMp "g" 0 ref 16 ref "Data.Pair.*" typeOp 2651 def 126 remove opType 2652 def nil cons 2653 def cons opType 2654 def var 2655 def 24 ref 55 ref 0 ref 2652 ref 0 ref 2652 ref 3 ref cons opType 2656 def nil cons 2657 def cons opType constTerm 2658 def 2655 ref varTerm 2659 def 134 ref appTerm appTerm "Data.Pair.," const 2660 def 0 ref 16 ref 2654 ref nil cons 2661 def cons opType constTerm 2662 def 134 ref appTerm 2663 def 134 ref appTerm 2664 def appTerm 2665 def appTerm 19 ref 2195 ref 19 ref 2281 ref 19 ref 1486 ref 56 ref 2658 ref 2659 ref 2198 ref appTerm 2666 def appTerm 2667 def 2662 ref 2283 ref appTerm 2668 def 1487 ref appTerm 2669 def appTerm 2670 def appTerm 24 ref 122 ref 130 ref 2254 ref 29 ref appTerm 2671 def appTerm 2672 def 2198 ref appTerm 2673 def appTerm 2674 def 130 ref 2254 ref 1062 ref 2283 ref appTerm 2675 def appTerm 2676 def appTerm 2677 def 1487 ref appTerm 2678 def appTerm appTerm 24 ref 28 ref 2675 ref appTerm 2679 def appTerm 2680 def 19 ref 1158 ref 23 ref 1401 ref 1487 ref appTerm 2681 def appTerm 2682 def 38 ref 28 ref 130 ref 2675 ref appTerm 2683 def 1378 ref appTerm 2684 def appTerm 2685 def appTerm 2686 def appTerm absTerm appTerm appTerm 2687 def appTerm 2688 def appTerm absTerm 2689 def appTerm 2690 def absTerm 2691 def appTerm 2692 def absTerm 2693 def appTerm 2694 def appTerm 2695 def absTerm 2696 def 2195 ref "mi" 16 ref var 2697 def 2662 ref "select" const 2698 def 0 ref 17 ref 91 ref cons opType 2699 def constTerm 2700 def 2281 ref 2674 ref 2677 ref 2697 ref varTerm 2701 def appTerm 2702 def appTerm absTerm appTerm appTerm 2701 ref appTerm absTerm 2703 def "Number.Natural.minimal" const 2699 remove constTerm 2704 def 1158 ref 99 ref 2281 ref 24 ref 2674 ref 2677 ref 1161 ref appTerm 2705 def appTerm appTerm 2679 ref appTerm absTerm appTerm absTerm 2706 def appTerm 2707 def appTerm 2708 def absTerm 2709 def appTerm betaConv sym 1017 ref 2658 ref refl 2710 def 2709 ref 134 ref appTerm betaConv 2697 ref 2662 ref refl 2711 def 2700 ref refl 2712 def 2281 ref 1519 ref nil 1308 ref 2671 ref nil cons cons nil cons 2713 def nil cons cons 1317 ref subst appThm 2714 def 2702 ref refl appThm absThm appThm appThm 2701 ref refl appThm absThm 2704 ref refl 1158 ref 2071 ref 2281 ref 1017 ref 2714 ref 2705 ref refl appThm appThm 2679 ref refl 2715 def appThm absThm appThm absThm appThm appThm trans appThm 2664 ref refl 2716 def appThm appThm 1432 ref 2195 ref 1432 ref 2281 ref 1432 ref 1486 ref 383 ref 2710 ref 2709 ref 2198 ref appTerm betaConv appThm 2669 ref refl appThm appThm 2688 ref refl appThm absThm appThm absThm appThm absThm appThm appThm sym 1017 ref 1158 ref 99 ref 2281 ref 24 ref 122 ref 2671 ref appTerm 2717 def 2705 ref appTerm appTerm 2679 ref appTerm absTerm appTerm absTerm 2718 def 134 ref appTerm 2719 def betaConv 2071 ref 2281 ref 1017 ref 2717 ref refl nil 1308 ref 2676 ref nil cons 2720 def cons nil cons 2721 def nil cons cons 1317 ref subst 2722 def appThm 2723 def appThm 2715 ref appThm absThm appThm trans appThm 1432 ref 1308 ref 96 ref 1308 ref 38 ref 1450 ref 134 ref appTerm 2724 def appTerm 2725 def absTerm 2726 def 1310 ref appTerm 2727 def betaConv nil 19 ref 2726 ref appTerm 2728 def axiom nil 346 ref 2728 remove nil cons cons 347 ref 2727 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2726 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2725 remove nil cons cons 347 ref 56 ref 2724 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 379 ref 2724 ref nil cons cons nil cons nil cons cons 791 ref subst eqMp 2729 def appThm 839 ref 2718 ref 1310 ref appTerm 2730 def betaConv appThm appThm nil 77 ref 38 ref 99 ref 2281 ref 24 ref 2717 ref 2677 ref 1310 ref appTerm 2731 def appTerm appTerm 2679 ref appTerm absTerm appTerm appTerm nil cons cons nil cons nil cons cons 77 ref 56 ref 780 ref 78 ref appTerm appTerm 67 ref appTerm absTerm 2732 def 78 ref appTerm 2733 def betaConv nil 785 ref 2732 ref appTerm 2734 def axiom nil 346 ref 2734 remove nil cons cons 347 ref 2733 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 2732 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 2735 def subst trans absThm appThm 2342 ref trans appThm nil 77 ref 99 ref 2281 ref 24 ref 2717 ref 2676 ref appTerm appTerm 2679 ref appTerm absTerm 2736 def appTerm nil cons cons nil cons nil cons cons 1690 ref subst trans sym 2736 ref 134 ref appTerm betaConv sym 1017 ref nil 2617 ref 1301 ref nil cons cons 2616 ref 701 remove cons nil cons 2737 def cons nil cons cons 2617 ref 56 ref 122 ref 2621 remove appTerm 2619 ref appTerm appTerm 122 ref 2620 ref appTerm 2618 ref appTerm appTerm absTerm 2738 def 2618 ref appTerm 2739 def betaConv 2616 ref 19 ref 2738 ref appTerm 2740 def absTerm 2741 def 2620 remove appTerm 2742 def betaConv nil 346 ref 19 ref 2741 ref appTerm nil cons cons 347 ref 2742 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 2741 remove nil cons cons 2647 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2740 remove nil cons cons 347 ref 2739 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2738 remove nil cons cons 2649 remove cons nil cons cons 414 ref subst eqMp eqMp 2743 def subst 122 ref 29 ref appTerm 2744 def refl 1318 ref appThm nil 702 ref nil cons cons 94 ref 2335 ref subst 2745 def subst trans trans appThm 28 ref refl 2746 def 1318 ref appThm 2747 def appThm 754 ref 1026 ref subst 2748 def trans sym 1880 ref 134 ref appTerm 2749 def betaConv nil 2103 ref 347 ref 2749 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 1880 ref nil cons cons 2750 def 1353 ref cons nil cons cons 414 ref subst eqMp eqMp 2751 def nil 346 ref 23 ref 1612 ref 134 ref appTerm 2752 def 1487 ref appTerm appTerm 56 ref 28 ref 1301 ref appTerm 2753 def appTerm 122 ref 134 ref appTerm 2754 def 134 ref appTerm 2755 def appTerm 2756 def appTerm nil cons cons 2757 def 347 ref 424 ref cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 1971 ref nil cons nil cons cons 2758 def nil 77 ref 2752 ref 1447 ref appTerm 2759 def nil cons cons nil cons nil cons cons 82 ref subst 1442 ref 2759 remove absTerm 2760 def 1447 ref appTerm 2761 def betaConv nil 19 ref 2760 ref appTerm 2762 def axiom nil 346 ref 2762 remove nil cons cons 347 ref 2761 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2760 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp 2763 def subst appThm 383 ref 2747 ref appThm nil 1353 ref nil cons cons 2745 ref subst 2764 def appThm 754 ref 1539 ref subst trans 2765 def appThm 754 ref 833 ref subst 2766 def trans appThm 2767 def 30 ref refl appThm 754 ref 851 ref subst 2768 def trans sym 81 ref eqMp eqMp 2769 def eqMp eqMp 93 ref 90 ref 2736 remove nil cons cons 1353 ref cons nil cons cons 1157 ref subst proveHyp eqMp nil 346 ref 24 ref 2719 remove appTerm 19 ref 1308 ref 23 ref 2724 remove appTerm 38 ref 2730 remove appTerm appTerm absTerm appTerm appTerm nil cons cons 347 ref 122 ref 2704 ref 2718 ref appTerm 2770 def appTerm 134 ref appTerm 2771 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1933 ref 1823 ref 2718 remove nil cons cons nil cons cons nil cons cons 1442 ref 23 ref 24 ref 1826 remove appTerm 19 ref 1308 ref 1623 ref 38 ref 1825 ref 1310 ref appTerm appTerm 2772 def appTerm absTerm appTerm appTerm appTerm 122 ref 2704 ref 1825 ref appTerm 2773 def appTerm 1447 ref appTerm appTerm absTerm 2774 def 1447 ref appTerm 2775 def betaConv 1823 ref 19 ref 2774 ref appTerm 2776 def absTerm 2777 def 1825 ref appTerm 2778 def betaConv nil 1830 ref 2777 ref appTerm 2779 def axiom nil 346 ref 2779 remove nil cons cons 347 ref 2778 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 1832 ref 1833 ref 2777 remove nil cons cons 1835 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2776 remove nil cons cons 347 ref 2775 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2774 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2780 def subst eqMp 56 ref "_33999" 16 ref var 2781 def 2658 ref 2697 remove 2662 ref 2700 ref 2281 ref 2717 ref 2702 remove appTerm absTerm appTerm appTerm 2701 remove appTerm absTerm 2782 def 2781 remove varTerm appTerm appTerm 2664 ref appTerm absTerm 2783 def 2770 ref appTerm 2784 def appTerm refl 2783 ref 134 ref appTerm betaConv appThm 383 ref 2784 remove betaConv appThm 2658 ref 2782 ref 134 ref appTerm 2785 def appTerm 2664 ref appTerm refl appThm trans 2783 remove refl 2771 remove assume appThm eqMp sym 2710 ref 2785 remove betaConv 2711 remove 2712 ref 2281 ref 2723 remove nil 2617 ref 2675 ref nil cons 2786 def cons 2787 def 2737 remove cons nil cons cons 2743 ref subst trans absThm appThm appThm 1934 ref 2263 ref subst 2788 def appThm trans appThm 2716 remove appThm nil "b'" 16 ref var 2789 def 1351 ref cons "a'" 16 ref var 2790 def 1351 ref cons "b" 16 ref var 2791 def 1351 ref cons "a" 16 ref var 2792 def 2700 ref 2281 ref 2744 remove 2675 ref appTerm absTerm 2793 def appTerm 2794 def nil cons cons nil cons cons cons cons nil cons cons 92 ref "B" 91 ref cons 2795 def nil cons cons 53 ref cons 2796 def "b'" "B" varType 2797 def var 2798 def 56 ref 55 ref 0 ref 2651 remove 57 ref 2797 ref nil cons 2799 def cons 2800 def opType 2801 def 0 ref 2801 ref 3 ref cons opType 2802 def nil cons cons opType constTerm 2803 def 2660 remove 0 ref 57 ref 0 ref 2797 ref 2801 ref nil cons cons opType nil cons cons opType constTerm 2804 def "a" 57 ref var 2805 def varTerm 2806 def appTerm "b" 2797 ref var 2807 def varTerm 2808 def appTerm 2809 def appTerm 2804 ref "a'" 57 ref var 2810 def varTerm 2811 def appTerm 2798 remove varTerm 2812 def appTerm appTerm appTerm 24 ref 801 ref 2806 ref appTerm 2813 def 2811 ref appTerm appTerm 55 ref 0 ref 2797 ref 0 ref 2797 ref 3 ref cons opType 2814 def nil cons 2815 def cons opType constTerm 2816 def 2808 ref appTerm 2812 ref appTerm appTerm appTerm absTerm 2817 def 2812 ref appTerm 2818 def betaConv 2810 remove 7 ref 0 ref 2814 ref 3 ref cons opType 2819 def constTerm 2820 def 2817 ref appTerm 2821 def absTerm 2822 def 2811 ref appTerm 2823 def betaConv 2807 ref 60 ref 2822 ref appTerm 2824 def absTerm 2825 def 2808 ref appTerm 2826 def betaConv 2805 ref 2820 ref 2825 ref appTerm 2827 def absTerm 2828 def 2806 ref appTerm 2829 def betaConv nil 60 ref 2828 ref appTerm 2830 def axiom nil 346 ref 2830 remove nil cons cons 347 ref 2829 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 2828 remove nil cons cons 66 ref 2806 ref nil cons 2831 def cons nil cons 2832 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2827 remove nil cons cons 347 ref 2826 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 2799 ref cons nil cons 2833 def "P" 2814 remove var 2834 def 2825 remove nil cons cons "x" 2797 ref var 2835 def 2808 ref nil cons cons nil cons 2836 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2824 remove nil cons cons 347 ref 2823 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 2822 remove nil cons cons 66 ref 2811 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2821 remove nil cons cons 347 ref 2818 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2833 ref 2834 ref 2817 remove nil cons cons 2835 ref 2812 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp subst 2837 def subst 24 ref 122 ref 2794 remove appTerm 134 ref appTerm 2838 def appTerm refl 2764 ref appThm nil 77 ref 2838 remove nil cons 2839 def cons nil cons nil cons cons 1690 ref subst trans trans trans sym nil 90 ref 2281 ref 56 ref 2793 ref 2283 ref appTerm 2840 def appTerm 2411 ref 134 ref appTerm 2841 def appTerm 2842 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2281 ref nil 77 ref 2842 remove nil cons cons nil cons nil cons cons 82 ref subst 383 ref 2840 remove betaConv appThm 2841 remove refl 2843 def appThm sym 383 ref nil "y" 16 ref var 2844 def 2786 ref cons 702 ref cons nil cons cons 94 ref 2242 ref 56 ref 2245 ref appTerm 801 ref 2243 ref appTerm 2845 def 408 ref appTerm 2846 def appTerm absTerm 2847 def 2243 ref appTerm 2848 def betaConv 66 ref 60 ref 2847 ref appTerm 2849 def absTerm 2850 def 408 ref appTerm 2851 def betaConv nil 60 ref 2850 ref appTerm 2852 def axiom nil 346 ref 2852 remove nil cons cons 347 ref 2851 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 2850 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2849 remove nil cons cons 347 ref 2848 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 2847 remove nil cons cons 66 ref 2243 ref nil cons cons nil cons 2853 def cons nil cons cons 414 ref subst eqMp eqMp 2854 def subst 2855 def subst appThm 2843 remove appThm sym nil 2493 ref 1309 ref cons 2856 def nil cons cons 2857 def 1442 ref 56 ref 1524 ref 1310 ref appTerm appTerm 2077 ref 134 ref appTerm 2858 def appTerm absTerm 2859 def 1447 ref appTerm 2860 def betaConv 1308 ref 19 ref 2859 ref appTerm 2861 def absTerm 2862 def 1310 ref appTerm 2863 def betaConv nil 19 ref 2862 ref appTerm 2864 def axiom nil 346 ref 2864 remove nil cons cons 347 ref 2863 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2862 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2861 remove nil cons cons 347 ref 2860 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2859 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 2865 def subst eqMp eqMp eqMp absThm eqMp nil 346 ref 19 ref 2844 ref 56 ref 2793 ref 2844 ref varTerm 2866 def appTerm appTerm 122 ref 2866 ref appTerm 2867 def 134 ref appTerm appTerm absTerm appTerm nil cons cons 347 ref 2839 remove cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1352 ref 1823 ref 2793 remove nil cons cons nil cons cons nil cons cons 94 ref 66 ref 23 ref 60 ref 2242 ref 56 ref 2250 ref appTerm 2846 ref appTerm absTerm appTerm appTerm 801 ref 2698 remove 0 ref 58 ref 802 ref cons opType constTerm 65 ref appTerm appTerm 408 ref appTerm appTerm absTerm 2868 def 408 ref appTerm 2869 def betaConv 64 ref 60 ref 2868 ref appTerm 2870 def absTerm 2871 def 65 ref appTerm 2872 def betaConv nil 7 ref 71 remove constTerm 2873 def 2871 ref appTerm 2874 def axiom nil 346 ref 2874 remove nil cons cons 347 ref 2872 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 800 remove cons nil cons 2875 def "P" 59 remove var 2876 def 2871 remove nil cons cons "x" 58 ref var 2877 def 65 ref nil cons cons nil cons 2878 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2870 remove nil cons cons 347 ref 2869 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 2868 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp subst 2879 def subst eqMp eqMp eqMp proveHyp nil 346 ref 2658 ref 2782 remove 2770 remove appTerm appTerm 2664 remove appTerm nil cons cons 347 ref 19 ref 2195 ref 19 ref 2281 ref 19 ref 1486 ref 56 ref 2658 ref 2708 remove appTerm 2880 def 2669 ref appTerm appTerm 2688 remove appTerm absTerm appTerm 2881 def absTerm 2882 def appTerm 2883 def absTerm 2884 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 90 ref 2884 remove nil cons cons nil cons nil cons cons 95 ref subst 2195 ref nil 77 ref 2883 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 2882 remove nil cons cons nil cons nil cons cons 95 ref subst 2281 ref nil 77 ref 2881 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 1980 ref 56 ref 2880 remove 2668 ref 1986 ref appTerm 2885 def appTerm appTerm 24 ref 2674 ref 2677 ref 1986 ref appTerm 2886 def appTerm appTerm 2680 ref 19 ref 1158 ref 23 ref 1401 ref 1986 ref appTerm 2887 def appTerm 2686 ref appTerm 2888 def absTerm 2889 def appTerm 2890 def appTerm 2891 def appTerm 2892 def appTerm 2893 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1980 ref nil 77 ref 2893 remove nil cons 2894 def cons nil cons nil cons cons 82 ref subst 2706 ref 2198 ref appTerm betaConv sym 2281 ref 24 ref 2674 ref 2677 ref 2198 ref appTerm appTerm appTerm 2679 ref appTerm absTerm 2895 def 134 ref appTerm betaConv sym 2751 remove nil 2757 remove 347 ref 24 ref 2674 ref 130 ref 2254 ref 1301 ref appTerm appTerm 2198 ref appTerm appTerm appTerm 2753 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2767 remove 1017 ref 2674 ref refl 2896 def 130 ref refl 2897 def 2421 ref 1318 ref appThm appThm 2898 def 2198 ref refl 2899 def appThm appThm nil 700 ref 2673 ref nil cons cons nil cons nil cons cons 2745 ref subst trans appThm 2747 ref appThm 2748 remove trans appThm 2768 ref trans sym 81 ref eqMp eqMp eqMp 93 ref 90 ref 2895 remove nil cons cons 1353 ref cons nil cons cons 1157 ref subst proveHyp eqMp 93 ref 90 ref 2706 ref nil cons 2900 def cons 2598 ref cons nil cons cons 1157 ref subst proveHyp 383 ref 2071 ref 1158 ref 2706 ref 1161 ref appTerm betaConv absThm appThm appThm 1017 ref 2706 ref 2707 ref appTerm betaConv appThm 1432 ref 1308 ref 23 ref 1450 ref 2707 ref appTerm appTerm 2901 def refl 839 ref 2706 ref 1310 ref appTerm betaConv appThm appThm absThm appThm appThm appThm nil 1823 ref 2900 remove cons nil cons nil cons cons 1823 ref 56 ref 99 ref 1827 remove appTerm appTerm 24 ref 1825 ref 2773 ref appTerm appTerm 19 ref 1308 ref 23 ref 1450 ref 2773 remove appTerm appTerm 2772 remove appTerm absTerm appTerm appTerm appTerm absTerm 2902 def 1825 remove appTerm 2903 def betaConv nil 1830 remove 2902 ref appTerm 2904 def axiom 2905 def nil 346 ref 2904 remove nil cons cons 2906 def 347 ref 2903 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 1832 ref 1833 remove 2902 ref nil cons cons 2907 def 1835 remove cons nil cons cons 414 ref subst eqMp eqMp subst eqMp 99 ref 2706 remove appTerm assume eqMp nil 346 ref 24 ref 99 ref 2281 ref 24 ref 2674 ref 2677 ref 2707 ref appTerm appTerm appTerm 2679 ref appTerm absTerm appTerm appTerm 19 ref 1308 ref 2901 remove 38 ref 99 ref 2281 ref 24 ref 2674 ref 2731 ref appTerm appTerm 2679 ref appTerm absTerm appTerm appTerm 2908 def appTerm absTerm appTerm appTerm nil cons cons 347 ref 2894 remove cons nil cons cons nil cons cons 403 ref subst proveHyp 1442 ref 23 ref 24 ref 99 ref 2281 ref 24 ref 2674 ref 2677 ref 1447 ref appTerm appTerm 2909 def appTerm 2679 ref appTerm absTerm appTerm appTerm 19 ref 1308 ref 1623 remove 2908 ref appTerm absTerm appTerm appTerm appTerm 2910 def 56 ref 2658 ref 2703 remove 1447 ref appTerm 2911 def appTerm 2885 ref appTerm appTerm 2892 ref appTerm appTerm absTerm 2912 def 2707 ref appTerm 2913 def betaConv 1432 ref 1442 ref 2910 remove refl 383 ref 2710 remove 2911 remove betaConv appThm 2885 remove refl appThm nil 2789 remove 2010 ref cons 2790 remove 2324 ref cons 2791 ref 1460 ref cons 2792 ref 2700 ref 2281 ref 2909 remove absTerm appTerm nil cons cons nil cons cons cons cons nil cons cons 2837 remove subst trans appThm 2892 ref refl appThm appThm absThm appThm sym nil 90 ref "q" 16 ref var 2914 def 23 ref 24 ref 99 ref 2281 ref 24 ref 2674 ref 2677 ref 2914 ref varTerm 2915 def appTerm 2916 def appTerm 2917 def appTerm 2679 ref appTerm absTerm 2918 def appTerm 2919 def appTerm 19 ref 1308 ref 23 ref 1450 ref 2915 ref appTerm 2920 def appTerm 2921 def 2908 remove appTerm absTerm appTerm 2922 def appTerm 2923 def appTerm 56 ref 24 ref 122 ref 2700 ref 2281 ref 2917 remove absTerm appTerm appTerm 2283 ref appTerm appTerm 122 ref 2915 ref appTerm 2924 def 1986 ref appTerm 2925 def appTerm appTerm 2892 remove appTerm 2926 def appTerm 2927 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2914 ref nil 77 ref 2927 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2923 remove nil cons 2928 def cons 347 ref 2926 ref nil cons 2929 def cons nil cons 2930 def cons nil cons cons 2931 def 362 ref subst 2931 remove 412 ref subst nil 379 ref 2919 ref nil cons 2932 def cons 381 ref 2922 remove nil cons 2933 def cons nil cons cons nil cons cons 2934 def 395 ref subst 2934 remove 428 ref subst nil 346 ref 2932 remove cons 2930 ref cons nil cons cons 403 ref subst nil 90 ref "mj" 16 ref var 2935 def 23 ref 2918 ref 2935 ref varTerm 2936 def appTerm 2937 def appTerm 2926 ref appTerm 2938 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2935 remove nil 77 ref 2938 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2937 ref nil cons 2939 def cons 2930 ref cons nil cons cons 2940 def 362 ref subst 2940 remove 412 ref subst 2937 ref betaConv 2937 remove assume eqMp nil 346 ref 24 ref 2674 ref 130 ref 2254 ref 1062 ref 2936 ref appTerm 2941 def appTerm 2942 def appTerm 2915 ref appTerm 2943 def appTerm 2944 def appTerm 28 ref 2941 ref appTerm 2945 def appTerm nil cons 2946 def cons 2930 ref cons nil cons cons 2947 def 403 ref subst proveHyp 2947 ref 362 ref subst 2947 remove 412 ref subst nil 379 ref 2944 ref nil cons cons 381 ref 2945 ref nil cons cons nil cons cons nil cons cons 2948 def 395 ref subst 2948 remove 428 ref subst nil 346 ref 2933 remove cons 2930 remove cons nil cons cons 403 ref subst 56 ref "_34002" 16 ref var 2949 def 23 ref 19 ref 1308 ref 2921 ref 38 ref 99 ref 2281 ref 24 ref 122 ref 2949 remove varTerm appTerm 2950 def 2731 ref appTerm appTerm 2679 ref appTerm absTerm appTerm appTerm appTerm absTerm appTerm appTerm 56 ref 24 ref 122 ref 2700 ref 2281 ref 2950 ref 2916 ref appTerm absTerm appTerm appTerm 2283 ref appTerm appTerm 2925 ref appTerm appTerm 24 ref 2950 remove 2886 ref appTerm appTerm 2891 ref appTerm appTerm appTerm absTerm 2951 def 2673 remove appTerm 2952 def appTerm refl 2951 ref 2943 ref appTerm betaConv appThm 383 ref 2952 remove betaConv appThm 23 ref 19 ref 1308 ref 2921 ref 38 ref 99 ref 2281 ref 24 ref 122 ref 2943 remove appTerm 2953 def 2731 ref appTerm 2954 def appTerm 2679 ref appTerm absTerm 2955 def appTerm appTerm appTerm absTerm appTerm 2956 def appTerm 56 ref 24 ref 122 ref 2700 ref 2281 ref 2953 ref 2916 ref appTerm absTerm appTerm appTerm 2283 ref appTerm appTerm 2925 ref appTerm appTerm 24 ref 2953 ref 2886 ref appTerm 2957 def appTerm 2891 ref appTerm 2958 def appTerm 2959 def appTerm refl appThm trans 2951 remove refl 2944 remove assume appThm eqMp sym nil 346 ref 2956 ref nil cons 2960 def cons 347 ref 2959 remove nil cons 2961 def cons nil cons cons nil cons cons 2962 def 362 ref subst 2962 remove 412 ref subst 383 ref 1017 ref 1519 ref 2712 remove 2281 ref nil 1442 ref 2720 remove cons 2963 def 1980 ref 2915 ref nil cons 2964 def cons 2965 def 1308 ref 2942 remove nil cons 2966 def cons nil cons cons cons nil cons cons 2161 ref subst nil 2787 remove 2616 ref 2941 remove nil cons 2967 def cons nil cons cons nil cons cons 2743 ref subst nil 1980 ref 2324 ref cons 2968 def 1442 ref 2936 ref nil cons 2969 def cons 2970 def 1309 ref cons cons nil cons cons 1980 ref 56 ref 1524 remove 1997 ref appTerm appTerm 2077 ref 1986 ref appTerm 2971 def appTerm absTerm 2972 def 1986 ref appTerm 2973 def betaConv 1442 ref 19 ref 2972 ref appTerm 2974 def absTerm 2975 def 1447 ref appTerm 2976 def betaConv 1308 ref 19 ref 2975 ref appTerm 2977 def absTerm 2978 def 1310 ref appTerm 2979 def betaConv nil 19 ref 2978 ref appTerm 2980 def axiom nil 346 ref 2980 remove nil cons cons 347 ref 2979 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2978 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2977 remove nil cons cons 347 ref 2976 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2975 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2974 remove nil cons cons 347 ref 2973 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2972 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 2981 def subst trans trans absThm appThm appThm 2283 ref refl appThm appThm 2925 ref refl appThm appThm 2958 ref refl appThm sym 1432 ref 2844 ref 383 ref 2281 ref 122 ref 2936 ref appTerm 2982 def 2283 ref appTerm 2983 def absTerm 2984 def 2866 ref appTerm 2985 def betaConv appThm 2867 ref 2936 ref appTerm 2986 def refl appThm absThm appThm sym nil 90 ref 2844 ref 56 ref 2982 ref 2866 ref appTerm appTerm 2986 ref appTerm 2987 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2844 ref nil 77 ref 2987 remove nil cons cons nil cons nil cons cons 82 ref subst nil 700 ref 2969 ref cons 2988 def nil cons nil cons cons 2855 ref subst eqMp absThm eqMp eqMp nil 346 ref 19 ref 2844 ref 56 ref 2985 remove appTerm 2986 remove appTerm absTerm appTerm nil cons cons 347 ref 122 ref 2700 remove 2984 ref appTerm 2989 def appTerm 2936 ref appTerm 2990 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2988 remove 1823 ref 2984 remove nil cons cons nil cons cons nil cons cons 2879 remove subst eqMp 56 ref "_34004" 16 ref var 2991 def 56 ref 24 ref 122 ref 2991 remove varTerm appTerm 2283 ref appTerm appTerm 2925 ref appTerm appTerm 2958 ref appTerm absTerm 2992 def 2989 remove appTerm 2993 def appTerm refl 2992 ref 2936 ref appTerm betaConv appThm 383 ref 2993 remove betaConv appThm 56 ref 24 ref 2983 ref appTerm 2994 def 2925 ref appTerm 2995 def appTerm 2958 ref appTerm refl appThm trans 2992 remove refl 2990 remove assume appThm eqMp sym nil 346 ref 2995 ref nil cons 2996 def cons 347 ref 2958 ref nil cons 2997 def cons nil cons cons nil cons cons 2998 def 778 remove subst 2998 ref 362 ref subst 2998 remove 412 ref subst nil 379 ref 2983 ref nil cons cons 381 ref 2925 ref nil cons cons nil cons cons nil cons cons 2999 def 395 ref subst 2999 remove 428 ref subst 56 ref "_34006" 16 ref var 3000 def 24 ref 122 ref 130 ref 2254 ref 1062 ref 3000 remove varTerm appTerm appTerm appTerm 2915 ref appTerm appTerm 2886 ref appTerm appTerm 2891 ref appTerm absTerm 3001 def 2936 ref appTerm 3002 def appTerm refl 3001 ref 2283 ref appTerm betaConv appThm 383 ref 3002 remove betaConv appThm 24 ref 122 ref 2916 ref appTerm 3003 def 2886 ref appTerm appTerm 2891 ref appTerm refl appThm trans 3001 remove refl 2983 remove assume 3004 def appThm eqMp sym 56 ref "_34028" 16 ref var 3005 def 24 ref 122 ref 2677 ref 3005 remove varTerm appTerm appTerm 2886 ref appTerm appTerm 2891 ref appTerm absTerm 3006 def 2915 ref appTerm 3007 def appTerm refl 3006 ref 1986 ref appTerm betaConv appThm 383 ref 3007 remove betaConv appThm 24 ref 122 ref 2886 ref appTerm 3008 def 2886 ref appTerm appTerm 2891 ref appTerm refl appThm trans 3006 remove refl 2925 remove assume 3009 def appThm eqMp sym 1017 ref nil 700 ref 2886 ref nil cons cons nil cons nil cons cons 2745 ref subst 3010 def appThm 1017 ref nil 77 ref 2679 ref nil cons 3011 def cons nil cons nil cons cons 3012 def 82 ref subst 3013 def 56 ref "_34024" 16 ref var 3014 def 28 ref 1062 ref 3014 remove varTerm appTerm appTerm absTerm 3015 def 2936 ref appTerm 3016 def appTerm refl 3017 def 3015 ref 2283 ref appTerm betaConv appThm 383 ref 3016 remove betaConv appThm 3018 def 2715 remove appThm trans 3015 remove refl 3019 def 3004 ref appThm eqMp 2945 remove assume 3020 def eqMp eqMp 3021 def appThm 2890 ref refl appThm nil 77 ref 2890 ref nil cons 3022 def cons nil cons nil cons cons 1026 ref subst 3023 def trans appThm 3023 remove trans sym nil 90 ref 2889 remove nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 2888 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2887 ref nil cons 3024 def cons 347 ref 2686 ref nil cons 3025 def cons nil cons 3026 def cons nil cons cons 3027 def 362 ref subst 3027 remove 412 ref subst nil 1442 ref 2010 ref cons 3028 def 1308 ref 1417 ref cons 3029 def nil cons 3030 def cons nil cons cons 2501 ref subst 2887 remove assume eqMp nil 346 ref 99 ref 1055 ref 122 ref 1986 ref appTerm 3031 def 130 ref 1378 ref appTerm 3032 def 2494 ref appTerm 3033 def appTerm 3034 def absTerm 3035 def appTerm 3036 def nil cons cons 3026 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1055 ref 23 ref 3035 ref 1058 ref appTerm 3037 def appTerm 2686 ref appTerm 3038 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 3038 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3037 ref nil cons 3039 def cons 3026 ref cons nil cons cons 3040 def 362 ref subst 3040 remove 412 ref subst 3037 ref betaConv 3037 remove assume eqMp nil 346 ref 3034 ref nil cons 3041 def cons 3026 remove cons nil cons cons 3042 def 403 ref subst proveHyp 3042 ref 362 ref subst 3042 remove 412 ref subst 839 ref 2746 ref nil 1980 ref 1417 ref cons 2856 ref cons nil cons cons 3043 def 1980 ref 122 ref 2136 remove appTerm 2135 remove appTerm 3044 def absTerm 3045 def 1986 ref appTerm 3046 def betaConv 1442 ref 19 ref 3045 ref appTerm 3047 def absTerm 3048 def 1447 ref appTerm 3049 def betaConv 1308 ref 19 ref 3048 ref appTerm 3050 def absTerm 3051 def 1310 ref appTerm 3052 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 1432 ref 1980 ref 3044 remove assume sym 2137 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 2147 remove eqMp nil 346 ref 19 ref 3051 ref appTerm nil cons cons 347 ref 3052 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3051 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3050 remove nil cons cons 347 ref 3049 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3048 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3047 remove nil cons cons 347 ref 3046 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3045 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 3053 def subst appThm appThm 3054 def sym 3055 def 1308 ref 24 ref 1613 ref 3032 remove 1058 ref appTerm 3056 def appTerm appTerm 3057 def 122 ref 130 ref 2677 ref 1377 ref 1378 ref appTerm 3058 def appTerm 3059 def appTerm 1058 ref appTerm appTerm 3060 def 130 ref 2254 ref 1062 ref 130 ref 2283 ref appTerm 3061 def 1378 ref appTerm 3062 def appTerm 3063 def appTerm 3064 def appTerm 3065 def 1310 ref appTerm 3066 def appTerm appTerm absTerm 3067 def 1058 ref appTerm betaConv sym nil 3029 remove 2073 ref nil cons 3068 def cons nil cons cons nil 77 ref 1985 ref 1523 ref appTerm 3069 def nil cons cons nil cons nil cons cons 82 ref subst 1442 ref 3069 remove absTerm 3070 def 1447 ref appTerm 3071 def betaConv 1308 ref 19 ref 3070 ref appTerm 3072 def absTerm 3073 def 1310 ref appTerm 3074 def betaConv nil 19 ref 3073 ref appTerm 3075 def axiom nil 346 ref 3075 remove nil cons cons 347 ref 3074 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3073 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3072 remove nil cons cons 347 ref 3071 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3070 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp 3076 def subst sym 81 ref eqMp nil 346 ref 1612 ref 1058 ref appTerm 3077 def 3056 ref appTerm nil cons cons 347 ref 3060 ref 3065 ref 1058 ref appTerm 3078 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 1442 ref 3064 ref nil cons 3079 def cons 1980 ref 1107 ref cons 3080 def 1308 ref 3059 ref nil cons cons nil cons cons cons nil cons cons 2161 ref subst sym 1432 ref 1308 ref 1432 ref "j'" 16 ref var 3081 def 96 ref 3057 ref refl 3082 def 1519 ref 2897 ref 1939 ref nil 1658 ref 2721 ref cons nil cons cons 3083 def 1442 ref 2117 remove 1659 remove appTerm 3084 def absTerm 3085 def 1447 ref appTerm 3086 def betaConv 1308 ref 19 ref 3085 ref appTerm 3087 def absTerm 3088 def 1310 ref appTerm 3089 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 3084 remove assume sym 1661 remove assume sym deductAntisym absThm appThm absThm appThm 1668 remove eqMp nil 346 ref 19 ref 3088 ref appTerm nil cons cons 347 ref 3089 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3088 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3087 remove nil cons cons 347 ref 3086 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3085 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 3090 def subst appThm nil 1442 ref 1417 remove cons 3091 def 2721 ref cons 3092 def nil cons cons 3093 def 3090 ref subst trans appThm 1058 ref refl 3094 def appThm appThm 130 ref 2254 ref 1062 ref 3081 ref varTerm 3095 def appTerm 3096 def appTerm appTerm 3097 def 1310 ref appTerm 3098 def refl 3099 def appThm appThm appThm 38 ref 28 ref 3096 remove appTerm appTerm 3100 def refl 3101 def appThm absThm appThm absThm appThm 1432 ref 1308 ref 1432 ref 3081 ref 96 ref 3082 remove 1519 ref nil 2073 ref 1308 ref 1377 ref 2705 ref appTerm 3102 def nil cons cons nil cons cons nil cons cons 3103 def 2131 ref subst appThm 3099 ref appThm appThm appThm 3101 ref appThm absThm appThm absThm appThm 1432 ref 1308 ref 1432 ref 3081 ref 96 ref 1017 ref 1450 ref refl nil 2073 ref 3030 ref cons nil cons cons 3104 def 1669 ref subst appThm nil 1442 ref 3056 ref nil cons cons nil cons nil cons cons 1621 ref subst trans appThm 1519 ref nil 1980 ref 2539 ref cons 3092 remove cons nil cons cons 2148 ref subst nil 2073 ref 1308 ref 2677 ref 1378 ref appTerm nil cons cons nil cons cons nil cons cons 1669 ref subst trans 1939 ref 2897 ref 3083 remove 1669 ref subst 3105 def appThm 3094 ref appThm appThm trans appThm 3099 remove appThm appThm appThm 3101 remove appThm absThm appThm absThm appThm 56 ref "_34070" 16 ref var 3106 def 19 ref 1308 ref 19 ref 3081 ref 23 ref 24 ref 1450 ref 3106 remove varTerm 3107 def appTerm appTerm 122 ref 2677 ref 3107 remove appTerm appTerm 3098 ref appTerm appTerm appTerm 3100 ref appTerm absTerm appTerm absTerm appTerm absTerm 3108 def 1986 ref appTerm 3109 def appTerm refl 3108 ref 3033 ref appTerm betaConv appThm 383 ref 3109 remove betaConv 3110 def appThm 19 ref 1308 ref 19 ref 3081 ref 23 ref 24 ref 1450 ref 3033 ref appTerm appTerm 122 ref 2677 ref 3033 remove appTerm appTerm 3098 ref appTerm appTerm appTerm 3100 ref appTerm absTerm appTerm absTerm appTerm refl appThm trans 3108 remove refl 3111 def 3034 remove assume appThm eqMp 56 ref "_34048" 16 ref var 3112 def 19 ref 1308 ref 19 ref 3081 ref 23 ref 24 ref 1450 ref 3112 remove varTerm 3113 def appTerm appTerm 122 ref 2677 ref 3113 remove appTerm appTerm 3098 ref appTerm appTerm appTerm 3100 ref appTerm absTerm appTerm absTerm appTerm absTerm 2915 ref appTerm 3114 def appTerm refl 3110 remove appThm 383 ref 3114 remove betaConv appThm 19 ref 1308 ref 19 ref 3081 ref 23 ref 24 ref 2550 ref appTerm 3008 remove 3098 ref appTerm appTerm appTerm 3100 ref appTerm absTerm appTerm absTerm appTerm refl appThm trans 3111 remove 3009 remove appThm eqMp 56 ref "_34026" 16 ref var 3115 def 19 ref 1308 ref 19 ref 2281 ref 23 ref 24 ref 2920 ref appTerm 3116 def 122 ref 130 ref 2254 ref 1062 ref 3115 remove varTerm appTerm appTerm appTerm 2915 ref appTerm appTerm 2731 remove appTerm appTerm appTerm 38 ref 2679 ref appTerm 3117 def appTerm absTerm appTerm absTerm appTerm absTerm 3118 def 2936 ref appTerm 3119 def appTerm refl 3118 ref 2283 ref appTerm betaConv appThm 383 ref 3119 remove betaConv appThm 19 ref 1308 ref 19 ref 3081 ref 23 ref 3116 ref 3003 remove 3098 ref appTerm appTerm appTerm 3100 ref appTerm absTerm appTerm absTerm appTerm refl appThm trans 3118 remove refl 3004 remove appThm eqMp 1432 ref 1308 ref 2921 remove refl 3120 def 383 ref 839 ref 2071 ref 2281 ref 2955 ref 2283 ref appTerm betaConv 3121 def absThm appThm appThm appThm 1432 ref 2281 ref 839 ref 3121 remove appThm absThm appThm appThm nil 1823 ref 2955 remove nil cons cons nil cons nil cons cons 94 ref 64 ref 56 ref 38 ref 866 ref 66 ref 883 ref absTerm appTerm 3122 def appTerm appTerm 60 ref 66 ref 38 ref 883 ref appTerm absTerm appTerm appTerm absTerm 3123 def 65 ref appTerm 3124 def betaConv nil 2873 ref 3123 ref appTerm 3125 def axiom nil 346 ref 3125 remove nil cons cons 347 ref 3124 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2875 ref 2876 ref 3123 remove nil cons cons 2878 ref cons nil cons cons 414 ref subst eqMp eqMp subst subst eqMp 1432 ref 2281 ref nil "y" 2 ref var 3126 def 3011 ref cons 789 ref 2954 ref nil cons 3127 def cons nil cons cons nil cons cons nil 346 ref 56 ref 789 ref varTerm 3128 def appTerm 3129 def 664 ref appTerm 3130 def nil cons 3131 def cons 3132 def 347 ref 56 ref 38 ref 24 ref 3128 ref appTerm 3126 ref varTerm 3133 def appTerm 3134 def appTerm 3135 def appTerm 23 ref 3128 ref appTerm 3136 def 38 ref 3133 ref appTerm 3137 def appTerm 3138 def appTerm nil cons 3139 def cons nil cons 3140 def cons nil cons cons 3141 def 362 ref subst 3141 remove 412 ref subst 56 ref "_33989" 2 ref var 3142 def 56 ref 38 ref 24 ref 3142 remove varTerm 3143 def appTerm 3133 ref appTerm appTerm appTerm 23 ref 3143 remove appTerm 3137 ref appTerm appTerm absTerm 3144 def 3128 ref appTerm 3145 def appTerm refl 3146 def 3144 ref 664 ref appTerm betaConv appThm 383 ref 3145 remove betaConv appThm 3147 def 56 ref 38 ref 24 ref 664 ref appTerm 3148 def 3133 ref appTerm 3149 def appTerm 3150 def appTerm 780 remove 3137 ref appTerm 3151 def appTerm refl appThm trans 3144 remove refl 3152 def 3130 remove assume 3153 def appThm eqMp sym 383 ref 839 ref nil 77 ref 3133 ref nil cons 3154 def cons nil cons nil cons cons 3155 def 77 ref 56 ref 3148 ref 78 ref appTerm appTerm 664 ref appTerm absTerm 3156 def 78 ref appTerm 3157 def betaConv nil 785 ref 3156 ref appTerm 3158 def axiom nil 346 ref 3158 remove nil cons cons 347 ref 3157 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 3156 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 3159 def subst 3160 def appThm nil 56 ref 38 ref 664 ref appTerm 3161 def appTerm 67 ref appTerm axiom 3162 def trans 3163 def appThm nil 77 ref 3137 ref nil cons 3164 def cons nil cons nil cons cons 3165 def 2735 ref subst 3166 def appThm 1029 ref 846 ref subst 3167 def trans sym 81 ref eqMp eqMp eqMp nil 379 ref 3131 ref cons 3168 def 381 ref 3139 ref cons nil cons 3169 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 3129 remove 67 ref appTerm 3170 def nil cons 3171 def cons 3172 def 3140 remove cons nil cons cons 3173 def 362 ref subst 3173 remove 412 ref subst 3146 remove "_33987" 2 ref var 3174 def 56 ref 38 ref 24 ref 3174 remove varTerm 3175 def appTerm 3133 ref appTerm appTerm appTerm 23 ref 3175 remove appTerm 3137 ref appTerm appTerm absTerm 67 ref appTerm betaConv appThm 3147 remove 56 ref 38 ref 1022 ref 3133 ref appTerm 3176 def appTerm 3177 def appTerm 829 remove 3137 ref appTerm 3178 def appTerm refl appThm trans 3152 remove 3170 remove assume 3179 def appThm eqMp sym 383 ref 839 ref 3155 remove 1026 ref subst 3180 def appThm 3181 def appThm 3165 ref 833 ref subst 3182 def appThm nil 789 ref 3164 remove cons nil cons nil cons cons 2336 ref subst trans sym 81 ref eqMp eqMp eqMp nil 379 ref 3171 remove cons 3183 def 3169 remove cons nil cons cons 395 ref subst deductAntisym eqMp 77 ref 2403 ref 80 remove appTerm 819 remove appTerm absTerm 3184 def 3128 ref appTerm 3185 def betaConv nil 785 ref 3184 ref appTerm 3186 def axiom 3187 def nil 346 ref 3186 remove nil cons cons 3188 def 347 ref 3185 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 3184 ref nil cons cons 3189 def 789 ref 3128 ref nil cons 3190 def cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 3191 def nil 3183 ref 381 ref 3131 remove cons 3192 def 2464 ref 3139 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp subst absThm appThm trans appThm 383 ref 3120 ref 1432 ref 2281 ref 2281 ref 23 ref 2954 ref appTerm 3117 ref appTerm absTerm 3193 def 2283 ref appTerm betaConv 3194 def absThm appThm appThm appThm 1432 ref 2281 ref 3120 remove 3194 remove appThm absThm appThm appThm nil "q" 17 ref var 3193 remove nil cons cons 346 ref 2920 remove nil cons cons nil cons 3195 def cons nil cons cons 94 ref "q" 58 ref var 3196 def 56 ref 349 ref 60 ref 66 ref 3196 ref varTerm 3197 def 408 ref appTerm 3198 def absTerm appTerm appTerm 3199 def appTerm 60 ref 66 ref 349 ref 3198 remove appTerm absTerm appTerm 3200 def appTerm 3201 def absTerm 3202 def 3197 ref appTerm 3203 def betaConv 346 ref 2873 ref 3202 ref appTerm 3204 def absTerm 3205 def 348 ref appTerm 3206 def betaConv 785 ref refl 3207 def 346 ref 2873 ref refl 3208 def 3196 ref 3201 remove assume sym 56 ref 3200 remove appTerm 3199 remove appTerm 3209 def assume sym deductAntisym absThm appThm absThm appThm nil 785 ref 346 ref 2873 ref 3196 remove 3209 remove absTerm appTerm absTerm appTerm axiom eqMp nil 346 ref 785 ref 3205 ref appTerm nil cons cons 347 ref 3206 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 3205 remove nil cons cons 789 ref 374 remove cons nil cons 3210 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3204 remove nil cons cons 347 ref 3203 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2875 ref 2876 ref 3202 remove nil cons cons 2877 remove 3197 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 3211 def subst subst eqMp 1432 ref 2281 ref nil 2426 ref 3117 ref nil cons cons 347 ref 3127 remove cons 3195 remove cons cons nil cons cons 2426 ref 56 ref 349 remove 2429 ref appTerm appTerm 23 ref 353 ref appTerm 2427 ref appTerm appTerm absTerm 3212 def 2427 ref appTerm 3213 def betaConv 347 ref 785 ref 3212 ref appTerm 3214 def absTerm 3215 def 350 ref appTerm 3216 def betaConv 346 ref 785 ref 3215 ref appTerm 3217 def absTerm 3218 def 348 ref appTerm 3219 def betaConv nil 785 ref 3218 ref appTerm 3220 def axiom nil 346 ref 3220 remove nil cons cons 347 ref 3219 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 3218 remove nil cons cons 3210 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3217 remove nil cons cons 347 ref 3216 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 3215 remove nil cons cons 789 ref 376 remove cons nil cons 3221 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3214 remove nil cons cons 347 ref 3213 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 3212 remove nil cons cons 789 ref 2427 ref nil cons 3222 def cons nil cons 3223 def cons nil cons cons 414 ref subst eqMp eqMp subst absThm appThm trans trans absThm appThm 2956 remove assume eqMp 3224 def eqMp eqMp eqMp eqMp eqMp eqMp 3225 def nil 346 ref 19 ref 1308 ref 19 ref 3081 ref 23 ref 3057 remove 3060 ref 3098 ref appTerm appTerm 3226 def appTerm 3100 ref appTerm absTerm 3227 def appTerm 3228 def absTerm 3229 def appTerm 3230 def nil cons 3231 def cons 3232 def 347 ref 122 ref 3059 remove appTerm 3064 ref appTerm 3233 def nil cons 3234 def cons 3235 def nil cons cons nil cons cons 403 ref subst proveHyp 1158 ref 23 ref 3230 ref appTerm 3236 def 3233 ref appTerm 3237 def absTerm 3238 def 1161 ref appTerm 3239 def betaConv 3240 def nil 346 ref 19 ref 1308 ref 19 ref 3081 ref 23 ref 24 ref 1613 ref 130 ref 1946 ref appTerm 1058 ref appTerm appTerm appTerm 122 ref 130 ref 2677 ref 1377 ref 1946 ref appTerm 3241 def appTerm 3242 def appTerm 1058 ref appTerm appTerm 3098 ref appTerm appTerm appTerm 3100 ref appTerm absTerm appTerm absTerm appTerm 3243 def nil cons 3244 def cons 347 ref 122 ref 3242 remove appTerm 2254 ref 1062 ref 3061 ref 1946 ref appTerm appTerm appTerm 3245 def appTerm 3246 def nil cons 3247 def cons nil cons cons nil cons cons 3248 def 362 ref subst 3248 remove 412 ref subst 1519 ref nil 1948 ref 2721 ref cons nil cons cons 1669 ref subst 1939 ref nil 1933 ref 2721 ref cons nil cons cons 1669 ref subst 1939 ref 2722 ref appThm trans appThm trans appThm 2421 ref 1062 ref refl 3249 def nil 1933 remove 2401 ref cons nil cons cons 1669 ref subst 1939 ref nil 2401 ref nil cons cons 1317 ref subst 3250 def appThm trans appThm 2857 ref 1669 ref subst trans appThm 3251 def nil 2195 ref 2786 ref cons nil cons nil cons cons 2599 ref subst 3252 def 130 ref 1377 ref 2676 ref appTerm 3253 def appTerm refl 2197 ref refl 3254 def 3021 remove appThm 1522 ref 2263 ref subst 3255 def appThm 2788 ref appThm nil "t2" 16 ref var 3256 def 1351 ref cons "t1" 16 ref var 3257 def 1506 ref cons nil cons cons nil cons cons 3258 def 94 ref 816 ref subst subst 3259 def trans appThm nil 1308 ref 3253 ref nil cons cons nil cons nil cons cons 1439 ref subst trans trans trans appThm nil 700 ref 1377 ref 3253 remove appTerm nil cons cons nil cons nil cons cons 2745 ref subst trans sym 81 ref eqMp eqMp nil 379 ref 3244 remove cons 381 ref 3247 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 23 ref 3243 remove appTerm 3246 remove appTerm 3260 def nil cons cons 347 ref 19 ref 1158 ref 23 ref 3237 ref appTerm 3261 def 23 ref 19 ref 1308 ref 19 ref 3081 ref 23 ref 24 ref 1613 ref 130 ref 3058 ref appTerm 1058 ref appTerm 3262 def appTerm appTerm 3263 def 122 ref 130 ref 2677 ref 1377 ref 3058 ref appTerm appTerm 3264 def appTerm 1058 ref appTerm appTerm 3265 def 3098 remove appTerm appTerm 3266 def appTerm 3100 ref appTerm absTerm 3267 def appTerm 3268 def absTerm 3269 def appTerm 3270 def appTerm 3271 def 122 ref 3264 remove appTerm 3272 def 2254 ref 1062 ref 3061 ref 3058 ref appTerm appTerm 3273 def appTerm 3274 def appTerm 3275 def appTerm 3276 def appTerm 3277 def absTerm 3278 def appTerm 3279 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 90 ref 3278 remove nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 3277 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3237 remove nil cons 3280 def cons 3281 def 347 ref 3276 remove nil cons 3282 def cons nil cons cons nil cons cons 3283 def 362 ref subst 3283 remove 412 ref subst nil 346 ref 3270 remove nil cons 3284 def cons 3285 def 347 ref 3275 ref nil cons 3286 def cons nil cons 3287 def cons nil cons cons 3288 def 362 ref subst 3288 remove 412 ref subst nil 3281 remove 3287 ref cons nil cons cons 403 ref subst nil 90 ref 2914 ref 19 ref 3081 ref 23 ref 24 ref 1612 ref 2915 ref appTerm 3289 def 3056 remove appTerm 3290 def appTerm 3291 def 3060 ref 3097 remove 2915 ref appTerm appTerm appTerm appTerm 3100 ref appTerm absTerm appTerm 3292 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2914 remove nil 77 ref 3292 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 1980 ref 23 ref 3291 remove 3060 remove 130 ref 2254 ref 1062 ref 1986 ref appTerm 3293 def appTerm 3294 def appTerm 3295 def 2915 ref appTerm 3296 def appTerm 3297 def appTerm 3298 def appTerm 38 ref 28 ref 3293 remove appTerm appTerm 3299 def appTerm 3300 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1980 ref nil 77 ref 3300 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3298 remove nil cons 3301 def cons 347 ref 3299 remove nil cons 3302 def cons nil cons 3303 def cons nil cons cons 3304 def 362 ref subst 3304 remove 412 ref subst nil 379 ref 3290 remove nil cons 3305 def cons 381 ref 3297 ref nil cons 3306 def cons nil cons cons nil cons cons 3307 def 395 ref subst 3307 remove 428 ref subst 1308 ref 3263 ref 3265 ref 3295 ref 1310 ref appTerm appTerm appTerm absTerm 3308 def 1377 ref 2915 ref appTerm 3309 def appTerm betaConv sym nil 346 ref 3306 remove cons 347 ref 24 ref 1612 ref 3309 ref appTerm 3310 def 3262 ref appTerm appTerm 3265 ref 3295 remove 3309 ref appTerm appTerm appTerm 3311 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 346 ref 3305 remove cons 347 ref 23 ref 3297 remove appTerm 3311 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst 96 ref 3289 ref refl 2537 remove 2604 ref subst 3312 def appThm appThm 96 ref 1519 ref 2897 ref 3093 remove 1669 ref subst 1939 ref 3105 remove appThm trans 3313 def appThm 3094 ref appThm 3103 remove 2604 ref subst 1939 ref nil 2073 ref 1308 ref 2705 ref nil cons cons nil cons cons nil cons cons 2604 ref subst appThm trans 3314 def trans appThm 3296 ref refl 3315 def appThm appThm 1017 ref 3310 remove refl 3104 remove 2604 ref subst 1939 ref 3312 remove appThm trans appThm nil 2544 remove 1308 ref 2964 ref cons 3316 def nil cons 3317 def cons nil cons cons 1442 ref 56 ref 2018 ref 1448 ref appTerm 3318 def appTerm 1614 ref appTerm 3319 def absTerm 3320 def 1447 ref appTerm 3321 def betaConv 1308 ref 19 ref 3320 ref appTerm 3322 def absTerm 3323 def 1310 ref appTerm 3324 def betaConv nil 19 ref 3323 ref appTerm 3325 def axiom 3326 def nil 346 ref 3325 remove nil cons cons 347 ref 3324 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3323 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3322 remove nil cons cons 347 ref 3321 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3320 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 3327 def subst trans appThm 1519 ref 2897 ref nil 1442 ref 3058 ref nil cons 3328 def cons 2721 ref cons nil cons cons 1669 ref subst 3329 def 1939 ref 3313 remove appThm trans appThm 3094 ref appThm nil 2073 ref 1308 ref 1377 ref 3102 remove appTerm nil cons cons nil cons cons nil cons cons 2604 ref subst 1939 ref 3314 remove appThm trans trans appThm nil 1442 ref 2964 ref cons 3330 def 1308 ref 3294 remove nil cons cons nil cons cons nil cons cons 1669 ref subst appThm nil 1442 ref 3296 ref nil cons 3331 def cons 1308 ref 1377 ref 1377 ref 130 ref 2705 remove appTerm 1058 ref appTerm appTerm appTerm 3332 def nil cons cons nil cons cons nil cons cons 1442 ref 56 ref 1433 remove 1448 ref appTerm 3333 def appTerm 2151 remove appTerm 3334 def absTerm 3335 def 1447 ref appTerm 3336 def betaConv 1308 ref 19 ref 3335 ref appTerm 3337 def absTerm 3338 def 1310 ref appTerm 3339 def betaConv nil 19 ref 3338 ref appTerm 3340 def axiom 3341 def nil 346 ref 3340 remove nil cons cons 347 ref 3339 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3338 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3337 remove nil cons cons 347 ref 3336 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3335 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 3342 def subst trans appThm appThm appThm sym nil 346 ref 3289 ref 2543 remove appTerm 3343 def nil cons 3344 def cons 347 ref 23 ref 122 ref 3332 remove appTerm 3296 remove appTerm 3345 def appTerm 24 ref 3343 ref appTerm 3345 ref appTerm 3346 def appTerm nil cons 3347 def cons nil cons cons nil cons cons 3348 def 362 ref subst 3348 remove 412 ref subst nil 346 ref 3345 ref nil cons 3349 def cons 347 ref 3346 remove nil cons 3350 def cons nil cons cons nil cons cons 3351 def 362 ref subst 3351 remove 412 ref subst 1017 ref nil 77 ref 3344 ref cons nil cons nil cons cons 82 ref subst 3343 remove assume eqMp appThm 1519 ref 3345 remove assume appThm 3315 remove appThm nil 700 ref 3331 remove cons nil cons nil cons cons 2745 ref subst trans appThm 1030 ref trans sym 81 ref eqMp eqMp nil 379 ref 3349 remove cons 381 ref 3350 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 3344 remove cons 381 ref 3347 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 93 ref 90 ref 3308 ref nil cons cons 700 ref 3309 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 3308 remove appTerm nil cons cons 3303 remove cons nil cons cons 403 ref subst proveHyp nil 3081 ref 2010 ref cons nil cons nil cons cons nil 346 ref 99 ref 1308 ref 3266 ref absTerm 3352 def appTerm 3353 def nil cons 3354 def cons 3355 def 347 ref 3100 ref nil cons 3356 def cons nil cons 3357 def cons nil cons cons 3358 def 362 ref subst 3358 remove 412 ref subst nil 3285 ref 3357 ref cons nil cons cons 3359 def 403 ref subst nil 3355 remove 347 ref 3271 remove 3100 ref appTerm 3360 def nil cons 3361 def cons nil cons 3362 def cons nil cons cons 403 ref subst nil 90 ref 1308 ref 23 ref 3352 ref 1310 ref appTerm 3363 def appTerm 3360 ref appTerm 3364 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 3364 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3363 ref nil cons 3365 def cons 3362 ref cons nil cons cons 3366 def 362 ref subst 3366 remove 412 ref subst 3363 ref betaConv 3363 remove assume eqMp nil 346 ref 3266 remove nil cons 3367 def cons 3368 def 3362 remove cons nil cons cons 3369 def 403 ref subst proveHyp 3369 ref 362 ref subst 3369 remove 412 ref subst 3359 ref 362 ref subst 3359 remove 412 ref subst nil 3368 remove 3357 ref cons nil cons cons 403 ref subst 3267 ref 3095 ref appTerm 3370 def betaConv 3269 ref 1310 ref appTerm 3371 def betaConv nil 3285 remove 347 ref 3371 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 3269 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3268 remove nil cons cons 347 ref 3370 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3267 remove nil cons cons 700 ref 3095 ref nil cons cons nil cons 3372 def cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 3284 remove cons 3373 def 381 ref 3356 remove cons nil cons 3374 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 3367 remove cons 381 ref 3361 remove cons nil cons 3375 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3365 remove cons 3375 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 3352 ref 963 ref appTerm appTerm 3360 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 3353 remove appTerm 3360 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3352 remove nil cons cons 3375 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 3354 remove cons 3374 ref cons nil cons cons 395 ref subst deductAntisym eqMp 3376 def subst eqMp proveHyp proveHyp eqMp nil 379 ref 3301 remove cons 381 ref 3302 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 3232 ref 347 ref 23 ref 3233 ref appTerm 3275 ref appTerm 3377 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 3234 ref cons 3287 remove cons nil cons cons 3378 def 362 ref subst 3378 remove 412 ref subst 3272 remove refl 3379 def 2421 ref nil 1980 ref 3328 ref cons 2856 ref cons nil cons cons 2148 ref subst appThm appThm sym 3379 ref 2421 ref nil 3091 ref 1308 ref 2786 ref cons nil cons 3380 def cons nil cons cons 3381 def 1669 ref subst appThm appThm sym 3379 ref nil 2195 ref 2684 ref nil cons 3382 def cons nil cons nil cons cons 2599 ref subst appThm sym 3055 remove 1308 ref 3263 remove 3265 ref 3066 remove appTerm appTerm absTerm 3383 def 2494 ref appTerm betaConv sym nil 1442 ref 3262 ref nil cons cons 1308 ref 1107 ref cons 3384 def nil cons 3385 def cons nil cons cons 2028 ref subst nil 1308 ref 3328 remove cons 3386 def 3068 ref cons nil cons cons 1442 ref 56 ref 1908 ref 1523 ref appTerm appTerm 1400 ref 134 ref appTerm 3387 def 1310 ref appTerm appTerm absTerm 3388 def 1447 ref appTerm 3389 def betaConv 1308 ref 19 ref 3388 ref appTerm 3390 def absTerm 3391 def 1310 ref appTerm 3392 def betaConv nil 19 ref 3391 ref appTerm 3393 def axiom nil 346 ref 3393 remove nil cons cons 347 ref 3392 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3391 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3390 remove nil cons cons 347 ref 3389 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3388 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 3394 def subst nil 3091 ref nil cons nil cons cons nil 77 ref 3387 ref 1448 ref appTerm 3395 def nil cons cons nil cons nil cons cons 82 ref subst 1442 ref 3395 remove absTerm 3396 def 1447 ref appTerm 3397 def betaConv nil 19 ref 3396 ref appTerm 3398 def axiom nil 346 ref 3398 remove nil cons cons 347 ref 3397 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3396 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp 3399 def subst trans trans sym 81 ref eqMp nil 346 ref 1612 ref 2494 ref appTerm 3262 remove appTerm nil cons cons 347 ref 3265 remove 3065 ref 2494 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 1519 ref 2897 ref 3329 ref appThm 3094 ref appThm appThm nil 2073 ref 1308 ref 3079 ref cons nil cons 3400 def cons nil cons cons 3401 def 1669 ref subst appThm sym 1519 ref 2897 ref 1939 ref 3233 remove assume 3402 def appThm appThm 3094 ref appThm appThm 1377 ref 3078 remove appTerm refl appThm sym 3401 remove 2604 ref subst eqMp eqMp eqMp eqMp 93 ref 90 ref 3383 ref nil cons cons 700 ref 2539 ref cons nil cons 3403 def cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 3383 remove appTerm nil cons cons 347 ref 38 ref 28 ref 3063 ref appTerm 3404 def appTerm 3405 def nil cons cons nil cons 3406 def cons nil cons cons 403 ref subst proveHyp nil 3081 ref 3062 remove nil cons cons nil cons nil cons cons 3407 def 3376 remove subst eqMp eqMp 3379 remove 130 ref 1377 ref 2254 ref 2684 remove appTerm 3408 def appTerm 3409 def appTerm 3410 def refl 3254 ref nil 346 ref 3025 ref cons 347 ref 56 ref 2685 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 379 ref 2685 remove nil cons cons nil cons nil cons cons 791 ref subst eqMp appThm 3255 ref appThm 2788 ref appThm 3258 remove 94 ref 799 remove 801 ref 803 ref 664 ref appTerm 805 ref appTerm 806 ref appTerm appTerm 806 ref appTerm absTerm 3411 def 806 remove appTerm 3412 def betaConv 804 remove 60 ref 3411 ref appTerm 3413 def absTerm 3414 def 805 remove appTerm 3415 def betaConv nil 60 ref 3414 ref appTerm 3416 def axiom nil 346 ref 3416 remove nil cons cons 347 ref 3415 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 3414 remove nil cons cons 814 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3413 remove nil cons cons 347 ref 3412 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 3411 remove nil cons cons 815 remove cons nil cons cons 414 ref subst eqMp eqMp 3417 def subst subst 3418 def trans appThm appThm sym 1519 ref 3329 remove appThm 3410 remove 134 ref appTerm refl appThm sym 1519 ref 1939 ref 3402 remove 2421 ref 3043 remove 2148 ref subst 3419 def appThm trans appThm appThm nil 1308 ref 3409 remove nil cons cons nil cons nil cons cons 1317 ref subst appThm nil 1442 ref 3408 remove nil cons 3420 def cons 1308 ref 3420 remove cons nil cons cons nil cons cons 3342 ref subst nil 2617 ref 3382 ref cons 2616 ref 3382 ref cons nil cons cons nil cons cons 2743 remove subst nil 700 ref 3382 remove cons nil cons nil cons cons 2745 ref subst trans trans trans sym 81 ref eqMp eqMp eqMp proveHyp eqMp eqMp eqMp eqMp nil 379 ref 3234 remove cons 381 ref 3286 ref cons nil cons 3421 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 3230 remove appTerm 3377 remove appTerm nil cons cons 347 ref 3261 remove 3275 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 3286 remove cons 3235 remove 3232 ref nil cons cons cons nil cons cons nil 346 ref 352 ref 2429 ref appTerm nil cons 3422 def cons 347 ref 23 ref 351 remove appTerm 2427 ref appTerm nil cons 3423 def cons nil cons cons nil cons cons 3424 def 362 ref subst 3424 remove 412 ref subst nil 771 remove 347 ref 3222 ref cons nil cons 3425 def cons nil cons cons 3426 def 362 ref subst 3426 remove 412 ref subst nil 380 remove 381 ref 2429 remove nil cons cons nil cons cons nil cons cons 3427 def 395 ref subst 403 ref proveHyp 397 remove eqMp nil 774 remove 3425 remove cons nil cons cons 403 ref subst proveHyp 3427 remove 428 ref subst eqMp eqMp nil 776 remove 381 ref 3222 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 3422 remove cons 381 ref 3423 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp 3428 def subst eqMp eqMp eqMp nil 3373 remove 3421 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 3280 remove cons 381 ref 3282 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 346 ref 24 ref 3260 remove appTerm 3279 remove appTerm nil cons cons 347 ref 19 ref 3238 ref appTerm nil cons 3429 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 1017 ref 3238 ref 134 ref appTerm betaConv appThm 1432 ref 1158 ref 96 ref 3240 ref appThm 3238 ref 1378 ref appTerm betaConv appThm absThm appThm appThm appThm 1432 ref 1158 ref 3240 remove absThm appThm appThm nil 1823 ref 3238 remove nil cons 3430 def cons nil cons nil cons cons 1836 ref subst eqMp eqMp nil 346 ref 3429 remove cons 347 ref 3239 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3430 remove cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp eqMp eqMp 93 ref 90 ref 3067 ref nil cons cons 1108 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 3067 remove appTerm nil cons cons 3406 remove cons nil cons cons 403 ref subst proveHyp 3407 remove 3081 ref 23 ref 99 ref 1308 ref 3226 ref absTerm 3431 def appTerm 3432 def appTerm 3433 def 3100 ref appTerm 3434 def absTerm 3435 def 3095 ref appTerm 3436 def betaConv 3225 remove nil 3232 ref 347 ref 19 ref 3435 ref appTerm nil cons 3437 def cons nil cons cons nil cons cons 3438 def 403 ref subst proveHyp 3438 ref 362 ref subst 3438 remove 412 ref subst nil 90 ref 3435 remove nil cons cons 3439 def nil cons nil cons cons 95 ref subst 3081 remove nil 77 ref 3434 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3432 remove nil cons 3440 def cons 3441 def 3357 ref cons nil cons cons 3442 def 362 ref subst 3442 remove 412 ref subst nil 3232 ref 3357 ref cons nil cons cons 3443 def 403 ref subst nil 3441 remove 347 ref 3236 remove 3100 remove appTerm 3444 def nil cons 3445 def cons nil cons 3446 def cons nil cons cons 403 ref subst nil 90 ref 1308 ref 23 ref 3431 ref 1310 ref appTerm 3447 def appTerm 3444 ref appTerm 3448 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 3448 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3447 ref nil cons 3449 def cons 3446 ref cons nil cons cons 3450 def 362 ref subst 3450 remove 412 ref subst 3447 ref betaConv 3447 remove assume eqMp nil 346 ref 3226 remove nil cons 3451 def cons 3452 def 3446 remove cons nil cons cons 3453 def 403 ref subst proveHyp 3453 ref 362 ref subst 3453 remove 412 ref subst 3443 ref 362 ref subst 3443 remove 412 ref subst nil 3452 remove 3357 remove cons nil cons cons 403 ref subst 3227 ref 3095 remove appTerm 3454 def betaConv 3229 ref 1310 ref appTerm 3455 def betaConv nil 3232 remove 347 ref 3455 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 3229 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3228 remove nil cons cons 347 ref 3454 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3227 remove nil cons cons 3372 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 3231 remove cons 3456 def 3374 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 3451 remove cons 381 ref 3445 remove cons nil cons 3457 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3449 remove cons 3457 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 3431 ref 963 ref appTerm appTerm 3444 ref appTerm absTerm appTerm nil cons cons 347 ref 3433 remove 3444 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3431 remove nil cons cons 3457 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 3440 remove cons 3374 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 3456 remove 381 ref 3437 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 3437 remove cons 347 ref 3436 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3439 remove 3372 remove cons nil cons cons 414 ref subst eqMp eqMp subst eqMp eqMp eqMp nil 379 ref 3041 remove cons 381 ref 3025 remove cons nil cons 3458 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3039 remove cons 3458 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 3035 ref 963 ref appTerm appTerm 2686 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 3036 remove appTerm 2686 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3035 remove nil cons cons 3458 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 3024 remove cons 3458 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 2996 ref cons 381 ref 2997 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 23 ref 2995 ref appTerm 2958 ref appTerm nil cons cons 347 ref 23 ref 2958 remove appTerm 2995 ref appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 2997 ref cons 347 ref 2996 ref cons nil cons 3459 def cons nil cons cons 3460 def 362 ref subst 3460 remove 412 ref subst nil 379 ref 2957 ref nil cons cons 381 ref 2891 remove nil cons cons nil cons cons nil cons cons 3461 def 395 ref subst 3461 remove 428 ref subst nil 379 ref 3011 ref cons 3462 def 381 ref 3022 remove cons nil cons cons nil cons cons 3463 def 395 ref subst 3463 remove 428 ref subst 2281 ref 23 ref 24 ref 1400 ref 1986 ref appTerm 2915 ref appTerm 3464 def appTerm 3465 def 2957 ref appTerm appTerm 3117 ref appTerm 3466 def absTerm 3467 def 2283 ref appTerm 3468 def betaConv 1308 ref 19 ref 2281 ref 23 ref 3116 remove 2954 remove appTerm appTerm 3117 remove appTerm absTerm appTerm absTerm 3469 def 1986 ref appTerm 3470 def betaConv 3224 remove nil 346 ref 19 ref 3469 ref appTerm nil cons cons 347 ref 3470 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3469 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 3467 ref appTerm nil cons cons 347 ref 3468 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3467 remove nil cons cons 2329 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3466 remove nil cons cons 3459 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 3465 remove refl 1519 ref 2957 remove assume 3471 def appThm 2886 remove refl appThm 3010 remove trans appThm nil 77 ref 3464 remove nil cons cons nil cons nil cons cons 3472 def 1690 ref subst trans appThm 839 ref 3013 remove 2679 ref assume eqMp 3473 def appThm nil 56 ref 38 ref 67 ref appTerm 3474 def appTerm 664 ref appTerm axiom 3475 def trans appThm 3472 remove 838 ref subst nil 3330 ref 1308 ref 2010 remove cons nil cons cons nil cons cons 2356 ref 1447 ref appTerm 3476 def betaConv 2358 ref 1310 ref appTerm 3477 def betaConv 2360 remove nil 346 ref 2359 remove nil cons cons 347 ref 3477 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2358 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2357 remove nil cons cons 347 ref 3476 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2356 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 3478 def subst trans trans appThm 2995 ref refl appThm sym nil 346 ref 3289 remove 1986 ref appTerm 3479 def nil cons 3480 def cons 3459 ref cons nil cons cons 3481 def 362 ref subst 3481 remove 412 ref subst nil 3028 remove 3317 ref cons nil cons cons 2084 ref subst 3479 remove assume eqMp nil 346 ref 99 ref 1055 ref 3031 remove 130 ref 2915 ref appTerm 1058 ref appTerm 3482 def appTerm 3483 def absTerm 3484 def appTerm 3485 def nil cons cons 3459 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1055 ref 23 ref 3484 ref 1058 ref appTerm 3486 def appTerm 2995 ref appTerm 3487 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 3487 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3486 ref nil cons 3488 def cons 3459 ref cons nil cons cons 3489 def 362 ref subst 3489 remove 412 ref subst 3486 ref betaConv 3486 remove assume eqMp nil 346 ref 3483 ref nil cons 3490 def cons 3459 remove cons nil cons cons 3491 def 403 ref subst proveHyp 3491 ref 362 ref subst 3491 remove 412 ref subst 56 ref "_34072" 16 ref var 3492 def 2994 ref 2924 ref 3492 remove varTerm appTerm appTerm absTerm 3493 def 1986 ref appTerm 3494 def appTerm refl 3493 ref 3482 ref appTerm betaConv appThm 383 ref 3494 remove betaConv appThm 2994 remove 2924 remove 3482 ref appTerm 3495 def appTerm 3496 def refl appThm trans 3493 remove refl 3483 remove assume 3497 def appThm eqMp sym 1442 ref 1612 ref 2916 ref appTerm 3498 def 130 ref 2916 ref appTerm 3499 def 1447 ref appTerm appTerm absTerm 3500 def 1058 ref appTerm 3501 def betaConv 2609 remove 2916 ref appTerm 3502 def betaConv 2612 remove nil 2613 remove 347 ref 3502 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 2614 remove 700 ref 2916 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 3500 ref appTerm nil cons cons 347 ref 3501 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3500 remove nil cons cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3498 ref 3499 remove 1058 ref appTerm appTerm nil cons cons 347 ref 2333 ref 2936 ref appTerm 3503 def nil cons 3504 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 3498 remove refl 3505 def nil 3080 ref 3330 remove 2721 ref cons cons nil cons cons 3053 ref subst appThm appThm 3503 ref refl 3506 def appThm sym 96 ref 3505 remove 56 ref "_34092" 16 ref var 3507 def 2953 ref 2677 ref 3507 remove varTerm appTerm appTerm absTerm 3508 def 1986 ref appTerm 3509 def appTerm refl 3508 ref 3482 ref appTerm betaConv appThm 383 ref 3509 remove betaConv appThm 2953 remove 2677 ref 3482 ref appTerm 3510 def appTerm refl appThm trans 3508 remove refl 3497 ref appThm eqMp 3471 remove eqMp 3511 def sym appThm appThm 3506 ref appThm sym 96 ref nil 1980 ref 2966 remove cons 3316 ref 2963 ref nil cons cons cons nil cons cons 1980 ref 56 ref 1612 ref 1526 remove appTerm 3512 def 2030 remove appTerm appTerm 1987 ref appTerm absTerm 3513 def 1986 ref appTerm 3514 def betaConv 1442 ref 19 ref 3513 ref appTerm 3515 def absTerm 3516 def 1447 ref appTerm 3517 def betaConv 1308 ref 19 ref 3516 ref appTerm 3518 def absTerm 3519 def 1310 ref appTerm 3520 def betaConv nil 19 ref 3519 ref appTerm 3521 def axiom nil 346 ref 3521 remove nil cons cons 347 ref 3520 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3519 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3518 remove nil cons cons 347 ref 3517 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3516 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3515 remove nil cons cons 347 ref 3514 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3513 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 3522 def subst nil 2617 ref 2967 remove cons 2616 remove 2786 ref cons nil cons 3523 def cons nil cons cons 2650 ref subst nil 1980 ref 2969 remove cons 2856 ref cons nil cons cons 1998 ref 1986 ref appTerm 3524 def betaConv 2000 ref 1447 ref appTerm 3525 def betaConv 2002 remove 1310 ref appTerm 3526 def betaConv 2005 remove nil 2006 remove 347 ref 3526 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 2007 remove 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2001 remove nil cons cons 347 ref 3525 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2000 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1999 remove nil cons cons 347 ref 3524 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 1998 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 3527 def subst trans trans appThm 3506 remove appThm nil 77 ref 3504 remove cons nil cons nil cons cons 851 ref subst trans sym 81 ref eqMp eqMp eqMp eqMp nil 2970 remove 2401 ref cons nil cons cons 2084 ref subst 3503 remove assume eqMp nil 346 ref 99 ref 1055 ref 2982 ref 3061 ref 1058 ref appTerm appTerm absTerm 3528 def appTerm 3529 def nil cons cons 347 ref 3496 ref nil cons 3530 def cons nil cons 3531 def cons nil cons cons 403 ref subst proveHyp nil 90 ref "dj" 16 ref var 3532 def 23 ref 3528 ref 3532 ref varTerm 3533 def appTerm 3534 def appTerm 3496 ref appTerm 3535 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 3532 remove nil 77 ref 3535 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3534 ref nil cons 3536 def cons 3531 ref cons nil cons cons 3537 def 362 ref subst 3537 remove 412 ref subst 3534 ref betaConv 3534 remove assume eqMp nil 346 ref 2982 remove 3061 ref 3533 ref appTerm 3538 def appTerm 3539 def nil cons 3540 def cons 3531 remove cons nil cons cons 3541 def 403 ref subst proveHyp 3541 ref 362 ref subst 3541 remove 412 ref subst 56 ref "_34098" 16 ref var 3542 def 24 ref 122 ref 3542 remove varTerm appTerm 2283 ref appTerm appTerm 3495 ref appTerm absTerm 3543 def 2936 ref appTerm 3544 def appTerm refl 3543 ref 3538 ref appTerm betaConv appThm 383 ref 3544 remove betaConv appThm 24 ref 122 ref 3538 ref appTerm 2283 ref appTerm appTerm 3495 ref appTerm 3545 def refl appThm trans 3543 remove refl 3539 remove assume 3546 def appThm eqMp sym 1519 ref 2421 ref nil 1980 ref 3533 ref nil cons 3547 def cons 2856 ref cons nil cons cons 3548 def 3053 ref subst appThm appThm 2677 ref 1058 ref appTerm 3549 def refl 3550 def appThm 1519 ref 2897 ref 2421 ref 3548 remove 2148 ref subst appThm appThm 2915 ref refl appThm appThm nil 2965 ref 2073 ref 2721 ref cons 3551 def cons nil cons cons 2148 ref subst appThm nil 1442 ref 3549 ref nil cons 3552 def cons 3553 def 2965 remove 1308 ref 2254 ref 2683 ref 3533 ref appTerm appTerm nil cons cons nil cons cons cons nil cons cons 2161 ref subst trans 122 ref 130 ref 2254 ref 1062 ref 3538 ref appTerm 3554 def appTerm 3555 def appTerm 2915 ref appTerm appTerm 3556 def refl 2677 ref refl 3557 def nil 2073 ref 3317 remove cons nil cons cons 3558 def 1533 ref subst appThm appThm 56 ref "_34118" 16 ref var 3559 def 122 ref 130 ref 2254 ref 1062 ref 3559 remove varTerm appTerm appTerm appTerm 2915 remove appTerm appTerm 3510 ref appTerm absTerm 3560 def 2936 remove appTerm 3561 def appTerm refl 3560 ref 3538 ref appTerm betaConv appThm 383 ref 3561 remove betaConv appThm 3556 remove 3510 remove appTerm refl appThm trans 3560 remove refl 3546 ref appThm eqMp 3511 remove eqMp eqMp eqMp eqMp nil 346 ref 122 ref 3555 remove appTerm 3549 ref appTerm 3562 def nil cons cons 347 ref 3545 ref nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 1308 ref 2403 ref 2150 ref 134 ref appTerm 3563 def appTerm 3564 def 99 ref 1442 ref 2150 remove 1448 ref appTerm 3565 def absTerm appTerm appTerm absTerm 3566 def 3533 ref appTerm 3567 def betaConv nil 19 ref 3566 ref appTerm 3568 def axiom 3569 def nil 346 ref 3568 remove nil cons cons 3570 def 347 ref 3567 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3566 ref nil cons cons 3571 def 700 ref 3547 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2403 ref 122 ref 3533 ref appTerm 3572 def 134 ref appTerm 3573 def appTerm 99 ref 1442 ref 3572 ref 1448 ref appTerm absTerm 3574 def appTerm 3575 def appTerm nil cons 3576 def cons 347 ref 23 ref 3562 remove appTerm 3545 remove appTerm 3577 def nil cons 3578 def cons nil cons 3579 def cons nil cons cons 3580 def 403 ref subst proveHyp 3580 ref 362 ref subst 3580 remove 412 ref subst nil 90 ref "ds" 16 ref var 3581 def 23 ref 3574 ref 3581 ref varTerm 3582 def appTerm 3583 def appTerm 3577 ref appTerm 3584 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 3581 ref nil 77 ref 3584 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3583 ref nil cons 3585 def cons 3579 ref cons nil cons cons 3586 def 362 ref subst 3586 remove 412 ref subst 3583 ref betaConv 3583 remove assume eqMp nil 346 ref 3572 remove 1377 ref 3582 ref appTerm 3587 def appTerm 3588 def nil cons 3589 def cons 3579 ref cons nil cons cons 3590 def 403 ref subst proveHyp 3590 ref 362 ref subst 3590 remove 412 ref subst 56 ref "_34148" 16 ref var 3591 def 23 ref 122 ref 2254 ref 1062 ref 3061 ref 3591 remove varTerm appTerm 3592 def appTerm appTerm appTerm 3549 ref appTerm appTerm 24 ref 122 ref 3592 remove appTerm 2283 ref appTerm appTerm 3495 ref appTerm appTerm absTerm 3593 def 3533 ref appTerm 3594 def appTerm refl 3595 def 3593 ref 3587 ref appTerm betaConv appThm 383 ref 3594 remove betaConv appThm 3596 def 23 ref 122 ref 2254 ref 1062 ref 3061 ref 3587 ref appTerm 3597 def appTerm 3598 def appTerm 3599 def appTerm 3549 ref appTerm 3600 def appTerm 24 ref 122 ref 3597 remove appTerm 2283 ref appTerm appTerm 3495 ref appTerm 3601 def appTerm refl appThm trans 3593 remove refl 3602 def 3588 remove assume 3603 def appThm eqMp sym nil 346 ref 3600 ref nil cons 3604 def cons 347 ref 3601 remove nil cons 3605 def cons nil cons cons nil cons cons 3606 def 362 ref subst 3606 remove 412 ref subst 1158 ref 23 ref 1401 ref 3482 ref appTerm appTerm 2686 ref appTerm absTerm 3607 def 3582 ref appTerm 3608 def betaConv 56 ref "_34096" 16 ref var 3609 def 19 ref 1158 ref 23 ref 1401 ref 3609 remove varTerm appTerm appTerm 2686 ref appTerm absTerm appTerm absTerm 3610 def 1986 ref appTerm 3611 def appTerm refl 3610 ref 3482 ref appTerm betaConv appThm 383 ref 3611 remove betaConv appThm 19 ref 3607 ref appTerm 3612 def refl appThm trans 3610 remove refl 3497 remove appThm eqMp 2890 remove assume eqMp nil 346 ref 3612 remove nil cons cons 347 ref 3608 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3607 remove nil cons cons 700 ref 3582 ref nil cons 3613 def cons nil cons 3614 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 1400 ref 3587 ref appTerm 3615 def 3482 ref appTerm 3616 def appTerm 38 ref 28 ref 2683 ref 3587 ref appTerm appTerm 3617 def appTerm 3618 def appTerm 3619 def nil cons cons 669 ref cons nil cons cons 403 ref subst proveHyp 1442 ref 24 ref 3615 ref 1447 ref appTerm appTerm 1985 ref 3482 ref appTerm appTerm absTerm 3620 def 1058 ref appTerm betaConv sym 24 ref 3615 remove 1058 ref appTerm 3621 def appTerm refl nil 3316 remove 3068 ref cons nil cons cons 3076 ref subst appThm nil 77 ref 3621 ref nil cons 3622 def cons nil cons nil cons cons 1690 ref subst trans sym 2012 ref 3600 remove assume appThm 3550 ref appThm nil 3553 remove nil cons nil cons cons nil 77 ref 1985 ref 1447 ref appTerm 3623 def nil cons cons nil cons nil cons cons 82 ref subst 1442 ref 3623 remove absTerm 3624 def 1447 ref appTerm 3625 def betaConv nil 19 ref 3624 ref appTerm 3626 def axiom nil 346 ref 3626 remove nil cons cons 347 ref 3625 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3624 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp 3627 def subst trans sym 81 ref eqMp nil 346 ref 1612 ref 3599 remove appTerm 3549 ref appTerm 3628 def nil cons cons 347 ref 3622 remove cons nil cons cons nil cons cons 403 ref subst 1055 ref 23 ref 3628 remove appTerm 3621 remove appTerm absTerm 3629 def 1058 ref appTerm 3630 def betaConv 1158 ref 19 ref 1055 ref 23 ref 1612 ref 3064 ref appTerm 3631 def 3549 ref appTerm appTerm 1401 ref 1058 ref appTerm appTerm absTerm 3632 def appTerm 3633 def absTerm 3634 def 3582 ref appTerm 3635 def betaConv nil 90 ref 1055 ref 23 ref 1612 ref 3245 remove appTerm 3549 ref appTerm appTerm 1400 ref 1946 ref appTerm 1058 ref appTerm 3636 def appTerm 3637 def absTerm 3638 def nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 3637 remove nil cons cons nil cons nil cons cons 82 ref subst 96 ref 2012 ref 3251 remove 3252 remove nil 1442 ref 2197 ref 2679 ref appTerm 135 ref appTerm 134 ref appTerm nil cons cons 2721 ref cons nil cons cons 2604 ref subst 1939 ref 3557 ref 3254 ref 3473 ref appThm 3255 ref appThm 2788 ref appThm 3259 ref trans appThm appThm trans trans trans appThm 3550 ref appThm appThm 3636 ref refl 3639 def appThm sym 96 ref 2012 ref nil 1520 ref 2721 ref cons nil cons cons 3090 ref subst appThm 3550 ref appThm nil 3080 ref 1442 ref 1377 ref 135 ref appTerm 3640 def nil cons 3641 def cons 2721 ref cons cons nil cons cons 3527 ref subst trans appThm 3639 ref appThm sym 96 ref nil 2073 ref 1308 ref 1506 ref cons 3642 def nil cons 3643 def cons nil cons cons 2028 ref subst 2536 ref 1941 ref appThm 3644 def 3094 ref appThm trans appThm 3639 remove appThm nil 77 ref 3636 remove nil cons cons nil cons nil cons cons 851 ref subst trans sym 81 ref eqMp eqMp eqMp eqMp absThm eqMp nil 346 ref 19 ref 3638 remove appTerm 3645 def nil cons cons 347 ref 19 ref 1158 ref 23 ref 3633 ref appTerm 19 ref 1055 ref 23 ref 1612 ref 3274 remove appTerm 3549 ref appTerm appTerm 1400 ref 3058 remove appTerm 3646 def 1058 ref appTerm 3647 def appTerm 3648 def absTerm 3649 def appTerm 3650 def appTerm 3651 def absTerm 3652 def appTerm 3653 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 90 ref 3652 remove nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 3651 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3633 remove nil cons 3654 def cons 3655 def 347 ref 3650 remove nil cons 3656 def cons nil cons cons nil cons cons 3657 def 362 ref subst 3657 remove 412 ref subst nil 90 ref 3649 remove nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 3648 remove nil cons cons nil cons nil cons cons 82 ref subst 1519 ref 3249 ref nil 3091 remove 2401 ref cons nil cons cons 1669 ref subst 1939 ref 2402 remove 1669 ref subst 3658 def appThm trans appThm nil 1442 ref 1377 ref 3061 ref 1161 ref appTerm 3659 def appTerm nil cons cons 1309 ref cons nil cons cons 1669 ref subst 1939 ref nil 1442 ref 3659 ref nil cons cons 1309 ref cons nil cons cons 1669 ref subst 3660 def appThm trans trans appThm 1939 ref 3249 ref 3658 remove appThm 3660 remove trans appThm appThm nil 700 ref 1377 ref 1377 ref 1062 ref 3659 remove appTerm appTerm appTerm nil cons cons nil cons nil cons cons 2745 ref subst trans sym 81 ref eqMp 56 ref "_34173" 16 ref var 3661 def 23 ref 1612 ref 2254 ref 3661 remove varTerm appTerm appTerm 3549 ref appTerm appTerm 3647 ref appTerm absTerm 3662 def 3273 ref appTerm 3663 def appTerm refl 3662 ref 1377 ref 3063 ref appTerm 3664 def appTerm betaConv appThm 383 ref 3663 remove betaConv appThm 23 ref 1612 ref 2254 ref 3664 ref appTerm appTerm 3549 ref appTerm appTerm 3647 ref appTerm refl appThm trans 3662 remove refl 122 ref 3273 remove appTerm 3664 remove appTerm assume appThm eqMp sym 96 ref 2012 ref nil 2195 ref 3063 remove nil cons 3665 def cons nil cons nil cons cons 2599 remove subst appThm 3550 remove appThm appThm 3647 ref refl appThm sym 3566 ref 1058 ref appTerm 3666 def betaConv 3569 ref nil 3570 ref 347 ref 3666 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3571 ref 1108 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2403 ref 122 ref 1058 ref appTerm 3667 def 134 ref appTerm 3668 def appTerm 99 ref 1442 ref 3667 ref 1448 ref appTerm absTerm 3669 def appTerm 3670 def appTerm nil cons 3671 def cons 347 ref 23 ref 1612 ref 130 ref 1377 ref 3064 ref appTerm appTerm 2197 ref 3404 remove appTerm 135 ref appTerm 134 ref appTerm 3672 def appTerm appTerm 3673 def 3549 ref appTerm appTerm 3647 remove appTerm 3674 def nil cons 3675 def cons nil cons 3676 def cons nil cons cons 3677 def 403 ref subst proveHyp 3677 ref 362 ref subst 3677 remove 412 ref subst nil 90 ref 3581 ref 23 ref 3669 ref 3582 ref appTerm 3678 def appTerm 3674 ref appTerm 3679 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 3581 remove nil 77 ref 3679 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3678 ref nil cons 3680 def cons 3676 ref cons nil cons cons 3681 def 362 ref subst 3681 remove 412 ref subst 3678 ref betaConv 3678 remove assume eqMp nil 346 ref 3667 remove 3587 ref appTerm 3682 def nil cons 3683 def cons 3676 ref cons nil cons cons 3684 def 403 ref subst proveHyp 3684 ref 362 ref subst 3684 remove 412 ref subst 56 ref "_34197" 16 ref var 3685 def 23 ref 3673 ref 2677 ref 3685 remove varTerm 3686 def appTerm appTerm appTerm 3646 ref 3686 remove appTerm appTerm absTerm 3687 def 1058 ref appTerm 3688 def appTerm refl 3689 def 3687 ref 3587 ref appTerm betaConv appThm 383 ref 3688 remove betaConv appThm 3690 def 23 ref 3673 ref 2677 ref 3587 ref appTerm appTerm appTerm 3646 ref 3587 ref appTerm appTerm refl appThm trans 3687 remove refl 3691 def 3682 remove assume appThm eqMp sym 96 ref 2012 ref nil 1442 ref 3672 ref nil cons cons 3400 ref cons nil cons cons 3692 def 2604 ref subst appThm 3693 def nil 1442 ref 3613 ref cons 3694 def 2721 ref cons nil cons cons 1669 ref subst appThm appThm nil 3694 remove 3030 remove cons nil cons cons 1462 ref subst appThm sym 96 ref nil 1442 ref 2677 ref 3582 ref appTerm 3695 def nil cons 3696 def cons 1308 ref 3065 remove 3672 remove appTerm 3697 def nil cons 3698 def cons nil cons 3699 def cons nil cons cons 3327 ref subst appThm 1401 ref 3582 remove appTerm 3700 def refl appThm sym nil 346 ref 1612 ref 3697 ref appTerm 3695 ref appTerm 3701 def nil cons 3702 def cons 347 ref 3700 remove nil cons 3703 def cons nil cons 3704 def cons nil cons cons 3705 def 362 ref subst 3705 remove 412 ref subst 1442 ref 24 ref 3631 ref 1447 ref appTerm appTerm 1985 ref 3695 ref appTerm appTerm absTerm 3706 def 3697 ref appTerm betaConv sym 1017 ref 3692 remove 2615 ref subst 3707 def appThm nil 77 ref 3702 ref cons nil cons nil cons cons 82 ref subst 3701 remove assume eqMp appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 3706 ref nil cons cons 700 ref 3698 ref cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 3706 remove appTerm nil cons cons 347 ref 3631 remove 3695 remove appTerm nil cons 3708 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 ref 3696 remove cons 3400 remove cons nil cons cons 1980 ref 23 ref 99 ref 1442 ref 2623 ref 1987 ref appTerm 3709 def absTerm 3710 def appTerm 3711 def appTerm 3712 def 1613 ref 1986 ref appTerm 3713 def appTerm 3714 def absTerm 3715 def 1986 ref appTerm 3716 def betaConv 1308 ref 19 ref 3715 ref appTerm 3717 def absTerm 3718 def 1310 ref appTerm 3719 def betaConv nil 19 ref 1308 ref 19 ref 1442 ref 19 ref 1980 ref 23 ref 3709 ref appTerm 3713 ref appTerm absTerm 3720 def appTerm 3721 def absTerm 3722 def appTerm 3723 def absTerm 3724 def appTerm 3725 def axiom nil 346 ref 3725 ref nil cons 3726 def cons 3727 def 347 ref 19 ref 3718 ref appTerm nil cons 3728 def cons nil cons cons nil cons cons 3729 def 403 ref subst proveHyp 3729 ref 362 ref subst 3729 remove 412 ref subst nil 90 ref 3718 remove nil cons cons 3730 def nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 3717 remove nil cons 3731 def cons nil cons nil cons cons 82 ref subst nil 90 ref 3715 remove nil cons cons 3732 def nil cons nil cons cons 95 ref subst 1980 ref nil 77 ref 3714 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3711 remove nil cons 3733 def cons 3734 def 347 ref 3713 ref nil cons 3735 def cons nil cons 3736 def cons nil cons cons 3737 def 362 ref subst 3737 remove 412 ref subst nil 3727 ref 3736 ref cons nil cons cons 3738 def 403 ref subst nil 3734 remove 347 ref 23 ref 3725 remove appTerm 3713 remove appTerm 3739 def nil cons 3740 def cons nil cons 3741 def cons nil cons cons 403 ref subst nil 90 ref 1442 ref 23 ref 3710 ref 1447 ref appTerm 3742 def appTerm 3739 ref appTerm 3743 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 3743 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3742 ref nil cons 3744 def cons 3741 ref cons nil cons cons 3745 def 362 ref subst 3745 remove 412 ref subst 3742 ref betaConv 3742 remove assume eqMp nil 346 ref 3709 remove nil cons 3746 def cons 3747 def 3741 remove cons nil cons cons 3748 def 403 ref subst proveHyp 3748 ref 362 ref subst 3748 remove 412 ref subst 3738 ref 362 ref subst 3738 remove 412 ref subst nil 3747 remove 3736 remove cons nil cons cons 403 ref subst 3720 ref 1986 ref appTerm 3749 def betaConv 3722 ref 1447 ref appTerm 3750 def betaConv 3724 ref 1310 ref appTerm 3751 def betaConv nil 3727 remove 347 ref 3751 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 3724 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3723 remove nil cons cons 347 ref 3750 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3722 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3721 remove nil cons cons 347 ref 3749 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3720 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 3726 remove cons 3752 def 381 ref 3735 remove cons nil cons 3753 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 3746 remove cons 381 ref 3740 remove cons nil cons 3754 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3744 remove cons 3754 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 3710 ref 963 ref appTerm appTerm 3739 ref appTerm absTerm appTerm nil cons cons 347 ref 3712 remove 3739 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3710 remove nil cons cons 3754 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 3733 remove cons 3753 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 3752 remove 381 ref 3728 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 3728 remove cons 347 ref 3719 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3730 remove 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3731 remove cons 347 ref 3716 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3732 remove 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 3755 def subst eqMp nil 346 ref 3708 remove cons 3704 remove cons nil cons cons 403 ref subst proveHyp nil 1055 ref 3613 remove cons nil cons nil cons cons 3632 ref 1058 ref appTerm 3756 def betaConv nil 3655 remove 347 ref 3756 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 3632 remove nil cons cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp eqMp nil 379 ref 3702 remove cons 381 ref 3703 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 3683 remove cons 381 ref 3675 ref cons nil cons 3757 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3680 remove cons 3757 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 3669 ref 963 ref appTerm appTerm 3674 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 3670 ref appTerm 3674 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3669 remove nil cons cons 3757 ref cons nil cons cons 893 ref subst eqMp nil 346 ref 3668 ref nil cons 3758 def cons 3676 remove cons nil cons cons 3759 def 362 ref subst 3759 remove 412 ref subst 3689 remove "_34175" 16 ref var 3760 def 23 ref 3673 ref 2677 ref 3760 remove varTerm 3761 def appTerm appTerm appTerm 3646 ref 3761 remove appTerm appTerm absTerm 134 ref appTerm betaConv appThm 3690 remove 23 ref 3673 remove 2677 ref 134 ref appTerm 3762 def appTerm appTerm 3646 remove 134 ref appTerm appTerm refl appThm trans 3691 remove 3668 remove assume appThm eqMp sym 96 ref 3693 remove 2722 ref appThm nil 2963 ref 3699 remove cons nil cons cons 3763 def 2028 ref subst trans appThm nil 3386 remove nil cons nil cons cons 2729 ref subst appThm nil 77 ref 1400 ref 3697 ref appTerm 2676 ref appTerm nil cons cons nil cons nil cons cons 838 ref subst 3763 remove 3478 ref subst trans trans sym 1442 ref 24 ref 1612 ref 2676 ref appTerm 3764 def 1447 ref appTerm appTerm 1985 ref 3697 ref appTerm appTerm absTerm 3765 def 3064 remove appTerm betaConv sym 1017 ref nil 2617 ref 3665 remove cons 3523 remove cons nil cons cons 2650 remove subst 1612 ref 2675 ref appTerm refl 3419 remove appThm 3381 remove 2615 ref subst trans trans appThm 3707 remove appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 3765 ref nil cons cons 700 ref 3079 remove cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 3765 remove appTerm nil cons cons 347 ref 3764 remove 3697 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 ref 3698 remove cons 2721 ref cons nil cons cons 3755 ref subst eqMp eqMp eqMp eqMp nil 379 ref 3758 ref cons 3766 def 3757 ref cons nil cons cons 395 ref subst deductAntisym eqMp nil 3766 remove 381 ref 3670 remove nil cons cons 2464 ref 3675 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp eqMp nil 379 ref 3671 remove cons 3757 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp absThm eqMp eqMp nil 379 ref 3654 remove cons 381 ref 3656 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 346 ref 24 ref 3645 remove appTerm 3653 remove appTerm nil cons cons 347 ref 19 ref 3634 ref appTerm nil cons 3767 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 1017 ref 3634 ref 134 ref appTerm betaConv appThm 1432 ref 1158 ref 96 ref 3634 ref 1161 ref appTerm betaConv 3768 def appThm 3634 ref 1378 ref appTerm betaConv appThm absThm appThm appThm appThm 1432 ref 1158 ref 3768 remove absThm appThm appThm nil 1823 ref 3634 remove nil cons 3769 def cons nil cons nil cons cons 1836 ref subst eqMp eqMp nil 346 ref 3767 remove cons 347 ref 3635 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3769 remove cons 3614 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 3629 ref appTerm nil cons cons 347 ref 3630 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3629 remove nil cons cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp proveHyp eqMp eqMp 93 ref 90 ref 3620 ref nil cons cons 1108 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 3620 remove appTerm nil cons cons 347 ref 3616 ref nil cons 3770 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 ref 3482 remove nil cons 3771 def cons 1308 ref 3587 ref nil cons 3772 def cons nil cons cons nil cons cons 1980 ref 23 ref 99 ref 1442 ref 2545 remove 1987 remove appTerm 3773 def absTerm 3774 def appTerm 3775 def appTerm 3776 def 2550 ref appTerm 3777 def absTerm 3778 def 1986 ref appTerm 3779 def betaConv 1308 ref 19 ref 3778 ref appTerm 3780 def absTerm 3781 def 1310 ref appTerm 3782 def betaConv nil 19 ref 1308 ref 19 ref 1442 ref 19 ref 1980 ref 23 ref 3773 ref appTerm 2550 ref appTerm absTerm 3783 def appTerm 3784 def absTerm 3785 def appTerm 3786 def absTerm 3787 def appTerm 3788 def axiom nil 346 ref 3788 ref nil cons 3789 def cons 3790 def 347 ref 19 ref 3781 ref appTerm nil cons 3791 def cons nil cons cons nil cons cons 3792 def 403 ref subst proveHyp 3792 ref 362 ref subst 3792 remove 412 ref subst nil 90 ref 3781 remove nil cons cons 3793 def nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 3780 remove nil cons 3794 def cons nil cons nil cons cons 82 ref subst nil 90 ref 3778 remove nil cons cons 3795 def nil cons nil cons cons 95 ref subst 1980 ref nil 77 ref 3777 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3775 remove nil cons 3796 def cons 3797 def 2573 ref cons nil cons cons 3798 def 362 ref subst 3798 remove 412 ref subst nil 3790 ref 2573 ref cons nil cons cons 3799 def 403 ref subst nil 3797 remove 347 ref 23 ref 3788 remove appTerm 2550 ref appTerm 3800 def nil cons 3801 def cons nil cons 3802 def cons nil cons cons 403 ref subst nil 90 ref 1442 ref 23 ref 3774 ref 1447 ref appTerm 3803 def appTerm 3800 ref appTerm 3804 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 3804 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3803 ref nil cons 3805 def cons 3802 ref cons nil cons cons 3806 def 362 ref subst 3806 remove 412 ref subst 3803 ref betaConv 3803 remove assume eqMp nil 346 ref 3773 remove nil cons 3807 def cons 3808 def 3802 remove cons nil cons cons 3809 def 403 ref subst proveHyp 3809 ref 362 ref subst 3809 remove 412 ref subst 3799 ref 362 ref subst 3799 remove 412 ref subst nil 3808 remove 2573 ref cons nil cons cons 403 ref subst 3783 ref 1986 ref appTerm 3810 def betaConv 3785 ref 1447 ref appTerm 3811 def betaConv 3787 ref 1310 ref appTerm 3812 def betaConv nil 3790 remove 347 ref 3812 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 3787 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3786 remove nil cons cons 347 ref 3811 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3785 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3784 remove nil cons cons 347 ref 3810 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3783 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 3789 remove cons 3813 def 2590 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 3807 remove cons 381 ref 3801 remove cons nil cons 3814 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3805 remove cons 3814 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 3774 ref 963 ref appTerm appTerm 3800 ref appTerm absTerm appTerm nil cons cons 347 ref 3776 remove 3800 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3774 remove nil cons cons 3814 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 3796 remove cons 2590 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 3813 remove 381 ref 3791 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 3791 remove cons 347 ref 3782 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3793 remove 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3794 remove cons 347 ref 3779 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3795 remove 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 3815 def subst eqMp nil 346 ref 3770 remove cons 3816 def 347 ref 23 ref 3618 ref appTerm 664 ref appTerm 3817 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 77 ref 3618 remove nil cons 3818 def cons nil cons nil cons cons 838 ref subst nil 77 ref 3617 remove nil cons cons nil cons nil cons cons 77 ref 56 ref 38 ref 820 ref appTerm appTerm 78 ref appTerm absTerm 3819 def 78 ref appTerm 3820 def betaConv nil 785 ref 3819 ref appTerm 3821 def axiom nil 346 ref 3821 remove nil cons cons 347 ref 3820 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 3819 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 3822 def subst trans 2746 ref nil 1980 ref 3772 remove cons 2856 remove cons nil cons cons 3053 ref subst appThm nil 77 ref 28 ref 3598 remove appTerm 3823 def nil cons cons nil cons nil cons cons 82 ref subst 56 ref "_34166" 16 ref var 3824 def 28 ref 1062 ref 3061 ref 3824 remove varTerm appTerm appTerm appTerm absTerm 3825 def 3533 remove appTerm 3826 def appTerm refl 3825 ref 3587 remove appTerm betaConv appThm 383 ref 3826 remove betaConv appThm 3823 remove refl appThm trans 3825 remove refl 3603 remove appThm eqMp 3017 remove "_34116" 16 ref var 3827 def 28 ref 1062 ref 3827 remove varTerm appTerm appTerm absTerm 3538 remove appTerm betaConv appThm 3018 remove 28 ref 3554 remove appTerm refl appThm trans 3019 remove 3546 remove appThm eqMp 3020 remove eqMp eqMp eqMp trans trans sym 81 ref eqMp eqMp nil 346 ref 24 ref 3616 remove appTerm 3817 remove appTerm nil cons cons 347 ref 23 ref 3619 remove appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 668 ref cons 347 ref 3818 remove cons 3816 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp nil 379 ref 3605 ref cons nil cons nil cons cons 790 remove subst proveHyp eqMp nil 379 ref 3604 remove cons 381 ref 3605 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3589 remove cons 381 ref 3578 ref cons nil cons 3828 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3585 remove cons 3828 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 3574 ref 963 ref appTerm appTerm 3577 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 3575 ref appTerm 3577 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3574 remove nil cons cons 3828 ref cons nil cons cons 893 ref subst eqMp nil 346 ref 3573 ref nil cons 3829 def cons 3579 remove cons nil cons cons 3830 def 362 ref subst 3830 remove 412 ref subst 3595 remove "_34124" 16 ref var 3831 def 23 ref 122 ref 2254 ref 1062 ref 3061 ref 3831 remove varTerm appTerm 3832 def appTerm appTerm appTerm 3549 ref appTerm appTerm 24 ref 122 ref 3832 remove appTerm 2283 ref appTerm appTerm 3495 ref appTerm appTerm absTerm 134 ref appTerm betaConv appThm 3596 remove 23 ref 122 ref 2254 ref 1062 ref 3061 ref 134 ref appTerm 3833 def appTerm 3834 def appTerm 3835 def appTerm 3549 ref appTerm appTerm 24 ref 122 ref 3833 ref appTerm 2283 ref appTerm appTerm 3495 remove appTerm appTerm refl appThm trans 3602 remove 3573 remove assume appThm eqMp sym 96 ref nil 2844 ref 3552 remove cons 700 ref 3835 remove nil cons cons nil cons cons nil cons cons 2855 ref subst appThm 1017 ref nil 2844 ref 2324 ref cons 700 ref 3833 remove nil cons cons nil cons cons nil cons cons 2855 ref subst appThm nil 2844 ref 3771 remove cons 700 ref 2964 remove cons nil cons cons nil cons cons 2855 remove subst appThm appThm sym 96 ref 122 ref 3549 remove appTerm refl 2421 ref 3249 ref 3250 ref appThm 3836 def appThm appThm nil 3551 remove nil cons cons 2865 ref subst trans appThm 1017 ref 2411 remove refl 3250 ref appThm nil 2329 ref nil cons cons 2745 ref subst trans appThm 3558 remove 2865 ref subst appThm nil 77 ref 3758 remove cons nil cons nil cons cons 3837 def 1026 ref subst trans appThm 3837 remove 851 ref subst trans sym 81 ref eqMp eqMp eqMp eqMp nil 379 ref 3829 remove cons 3838 def 3828 ref cons nil cons cons 395 ref subst deductAntisym eqMp nil 3838 remove 381 ref 3575 remove nil cons cons 2464 ref 3578 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp eqMp nil 379 ref 3576 remove cons 3828 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 3540 remove cons 381 ref 3530 remove cons nil cons 3839 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3536 remove cons 3839 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 3528 ref 963 ref appTerm appTerm 3496 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 3529 remove appTerm 3496 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3528 remove nil cons cons 3839 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp nil 379 ref 3490 remove cons 381 ref 2996 remove cons nil cons 3840 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3488 remove cons 3840 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 3484 ref 963 ref appTerm appTerm 2995 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 3485 remove appTerm 2995 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3484 remove nil cons cons 3840 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 3480 remove cons 3840 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 2997 remove cons 3840 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp eqMp nil 379 ref 2960 remove cons 381 ref 2961 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 2946 remove cons 381 ref 2929 remove cons nil cons 3841 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 2939 remove cons 3841 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 2918 ref 963 ref appTerm appTerm 2926 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 2919 remove appTerm 2926 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2918 remove nil cons cons 3841 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 2928 remove cons 3841 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 346 ref 19 ref 2912 ref appTerm nil cons cons 347 ref 2913 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2912 remove nil cons cons 700 ref 2707 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp eqMp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp "A" 2661 remove cons nil cons 3842 def "P" 0 ref 2654 ref 3 ref cons opType 3843 def var 3844 def 2696 ref nil cons cons 3845 def "x" 2654 remove var 3846 def 2709 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 98 ref 0 ref 3843 remove 3 ref cons opType 3847 def constTerm 2696 ref appTerm 3848 def nil cons cons 2269 ref cons nil cons cons 403 ref subst nil 3844 remove 2655 ref 23 ref 2696 ref 2659 ref appTerm 3849 def appTerm 2267 ref appTerm 3850 def absTerm nil cons cons nil cons nil cons cons 3842 ref 53 ref cons 75 ref subst subst 2655 remove nil 77 ref 3850 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3849 ref nil cons 3851 def cons 2269 ref cons nil cons cons 3852 def 362 ref subst 3852 remove 412 ref subst 3849 ref betaConv 3849 remove assume eqMp nil 346 ref 2695 remove nil cons 3853 def cons 2269 ref cons nil cons cons 3854 def 403 ref subst proveHyp 3854 ref 362 ref subst 3854 remove 412 ref subst nil 379 ref 2665 ref nil cons cons 381 ref 2694 remove nil cons 3855 def cons nil cons cons nil cons cons 3856 def 395 ref subst 3856 remove 428 ref subst nil "P" 0 ref 121 ref 3 ref cons opType 3857 def var 3858 def "h" 121 ref var 3859 def 108 ref "gw" 1 ref var 3860 def 19 ref 2195 ref 56 ref 26 ref 3860 ref varTerm 3861 def appTerm 2198 ref appTerm appTerm "HOLLight.UNCURRY" "_1254" 0 ref 57 ref 0 ref 2797 ref "C" varType 3862 def nil cons 3863 def cons opType 3864 def nil cons 3865 def cons opType 3866 def var 3867 def "_1255" 2801 ref var 3868 def 3867 ref varTerm 3869 def "Data.Pair.fst" const 0 ref 2801 ref 802 ref cons opType constTerm 3870 def 3868 ref varTerm 3871 def appTerm appTerm "Data.Pair.snd" const 0 ref 2801 ref 2799 ref cons opType constTerm 3872 def 3871 ref appTerm appTerm absTerm 3873 def absTerm 3874 def defineConst 3875 def pop 3876 def 0 ref 121 ref 2657 remove cons opType constTerm 3877 def 3859 ref varTerm 3878 def appTerm 2666 ref appTerm 3879 def appTerm absTerm appTerm absTerm 3880 def appTerm 3881 def absTerm 3882 def nil cons cons nil cons nil cons cons "A" 121 ref nil cons cons nil cons 3883 def 53 ref cons 75 ref subst subst 3859 ref nil 77 ref 3881 remove nil cons cons nil cons nil cons cons 82 ref subst 3880 ref "Hardware.wire" const 0 ref "Data.Stream.stream" typeOp 3884 def 3 ref opType 3885 def 50 ref cons opType constTerm 3886 def "Data.Stream.fromFunction" const 3887 def 0 ref 17 ref 3885 ref nil cons 3888 def cons opType constTerm 2195 ref 3879 ref absTerm 3889 def appTerm 3890 def appTerm 3891 def appTerm betaConv sym nil 90 ref 2195 ref 56 ref 26 ref 3891 ref appTerm 2198 ref appTerm appTerm 3879 ref appTerm absTerm nil cons cons nil cons nil cons cons 95 ref subst 2195 ref 383 ref nil 1054 ref 3891 remove nil cons 3892 def cons nil cons nil cons cons 1054 ref 55 ref 0 ref 17 ref 18 remove nil cons cons opType constTerm 1066 ref appTerm "Data.Stream.nth" const 3893 def 0 ref 3885 ref 25 remove cons opType constTerm 3894 def "Hardware.signals" const 0 ref 1 ref 3888 ref cons opType constTerm 3895 def 1057 ref appTerm appTerm appTerm absTerm 3896 def 1057 ref appTerm 3897 def betaConv nil 14 ref 3896 ref appTerm 3898 def axiom nil 346 ref 3898 remove nil cons cons 347 ref 3897 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 3896 remove nil cons cons 1106 ref cons nil cons cons 414 ref subst eqMp eqMp subst 3894 remove refl nil "s" 3885 ref var 3899 def 3890 remove nil cons cons nil cons nil cons cons 3899 ref 55 ref 0 ref 3885 ref 0 ref 3885 ref 3 ref cons opType 3900 def nil cons cons opType constTerm 3895 remove 3886 remove 3899 remove varTerm 3901 def appTerm appTerm appTerm 3901 ref appTerm absTerm 3902 def 3901 ref appTerm 3903 def betaConv nil 7 ref 0 ref 3900 ref 3 ref cons opType constTerm 3902 ref appTerm 3904 def axiom nil 346 ref 3904 remove nil cons cons 347 ref 3903 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 3888 remove cons nil cons "P" 3900 remove var 3902 remove nil cons cons "x" 3885 remove var 3901 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp subst appThm nil "f" 17 ref var 3889 ref nil cons cons nil cons nil cons cons 798 ref "f" 2208 ref var 3905 def 55 ref 0 ref 2208 ref 2214 remove nil cons cons opType constTerm 3893 remove 0 ref 3884 remove 802 ref opType 3906 def 2209 remove cons opType constTerm 3887 remove 0 ref 2208 ref 3906 remove nil cons cons opType constTerm 3905 remove varTerm 3907 def appTerm appTerm appTerm 3907 ref appTerm absTerm 3908 def 3907 ref appTerm 3909 def betaConv nil 7 ref 2215 remove constTerm 3908 ref appTerm 3910 def axiom nil 346 ref 3910 remove nil cons cons 347 ref 3909 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2235 remove 2236 remove 3908 remove nil cons cons "x" 2208 remove var 3907 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp subst subst trans trans 2899 ref appThm 3889 remove 2198 ref appTerm betaConv trans appThm 3879 ref refl appThm nil 789 ref 3879 ref nil cons cons nil cons nil cons cons 2336 ref subst trans absThm eqMp eqMp 52 ref 5 ref 3880 ref nil cons cons 404 ref 3892 remove cons nil cons cons nil cons cons 1157 ref subst proveHyp eqMp absThm eqMp 383 ref 7 ref 0 ref 3857 remove 3 ref cons opType constTerm 3911 def refl 3912 def 3859 ref 108 ref refl 3913 def 3860 remove 3859 ref 3880 ref absTerm 3914 def 3878 ref appTerm betaConv 3915 def 3861 ref refl appThm 3880 ref 3861 remove appTerm betaConv trans absThm appThm absThm appThm appThm 98 ref 0 ref 0 ref 0 ref 121 ref 50 ref cons opType 3916 def 3 ref cons opType 3917 def 3 ref cons opType 3918 def constTerm 3919 def refl "f" 3916 ref var 3920 def 3912 remove 3859 ref 3915 remove 3920 ref varTerm 3878 ref appTerm 3921 def refl appThm 3880 remove 3921 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 121 ref 32 remove cons opType var 3914 remove nil cons cons nil cons nil cons cons "B" 50 ref cons 3922 def 3883 ref cons 53 ref cons "r" 0 ref 57 ref 2815 remove cons opType 3923 def var 3924 def 56 ref 60 ref 66 ref 98 ref 2819 remove constTerm 3925 def "y" 2797 ref var 3926 def 3924 remove varTerm 3927 def 408 ref appTerm 3928 def 3926 ref varTerm 3929 def appTerm absTerm appTerm absTerm appTerm appTerm 98 ref 0 ref 0 ref 0 ref 2800 remove opType 3930 def 3 ref cons opType 3931 def 3 ref cons opType 3932 def constTerm "f" 3930 ref var 3933 def 60 ref 66 ref 3928 remove 3933 ref varTerm 3934 def 408 ref appTerm 3935 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 3936 def 3927 ref appTerm 3937 def betaConv nil 7 ref 0 ref 0 ref 3923 ref 3 ref cons opType 3938 def 3 ref cons opType constTerm 3936 ref appTerm 3939 def axiom nil 346 ref 3939 remove nil cons cons 347 ref 3937 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 3923 ref nil cons cons nil cons "P" 3938 remove var 3936 remove nil cons cons "x" 3923 remove var 3927 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp subst subst eqMp 3911 ref 3882 remove appTerm assume eqMp nil 346 ref 3919 remove 3920 remove 3911 ref 3859 ref 19 ref 2195 ref 56 ref 26 ref 3921 remove appTerm 2198 ref appTerm appTerm 3879 ref appTerm absTerm appTerm absTerm appTerm absTerm 3940 def appTerm 3941 def nil cons cons 2269 ref cons nil cons cons 403 ref subst proveHyp nil "P" 3917 remove var 3942 def "gw" 3916 ref var 3943 def 23 ref 3940 ref 3943 ref varTerm 3944 def appTerm 3945 def appTerm 2267 ref appTerm 3946 def absTerm nil cons cons nil cons nil cons cons "A" 3916 ref nil cons cons nil cons 3947 def 53 ref cons 75 ref subst subst 3943 remove nil 77 ref 3946 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3945 ref nil cons 3948 def cons 2269 ref cons nil cons cons 3949 def 362 ref subst 3949 remove 412 ref subst 3945 ref betaConv 3945 remove assume eqMp nil 346 ref 3911 remove 3859 ref 19 ref 2195 ref 56 ref 26 ref 3944 ref 3878 ref appTerm appTerm 2198 ref appTerm appTerm 3879 remove appTerm absTerm 3950 def appTerm 3951 def absTerm 3952 def appTerm nil cons 3953 def cons 3954 def 2269 ref cons nil cons cons 3955 def 403 ref subst proveHyp 3955 ref 362 ref subst 3955 remove 412 ref subst nil 90 ref 1158 ref 23 ref 1622 ref 2168 ref appTerm 3956 def appTerm 3957 def 2658 ref 2659 ref 1161 ref appTerm 3958 def appTerm 2663 ref 1161 ref appTerm 3959 def appTerm 3960 def appTerm 3961 def absTerm 3962 def nil cons cons 3963 def nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 3961 ref nil cons 3964 def cons nil cons nil cons cons 82 ref subst nil 346 ref 3956 ref nil cons 3965 def cons 3966 def 347 ref 3960 ref nil cons 3967 def cons 3968 def nil cons cons nil cons cons 3969 def 362 ref subst 3969 remove 412 ref subst nil 1486 ref 1444 ref cons 3970 def 2281 ref 1351 ref cons 2195 ref 1444 ref cons nil cons cons cons nil cons cons 2689 ref 1487 ref appTerm 3971 def betaConv 2691 ref 2283 ref appTerm 3972 def betaConv 2693 ref 2198 ref appTerm 3973 def betaConv nil 346 ref 3855 remove cons 347 ref 3973 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 2693 remove nil cons cons 2598 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2692 remove nil cons cons 347 ref 3972 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2691 remove nil cons cons 2329 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2690 remove nil cons cons 347 ref 3971 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2689 remove nil cons cons 700 ref 1970 ref cons nil cons 3974 def cons nil cons cons 414 ref subst eqMp eqMp 3975 def subst 1017 ref 122 ref 2672 ref 1161 ref appTerm 3976 def appTerm refl 2898 remove 1161 ref refl 3977 def appThm appThm nil 700 ref 3976 remove nil cons cons nil cons nil cons cons 2745 ref subst trans appThm 1017 ref 2747 remove appThm 1432 ref "i'" 16 ref var 3978 def 23 ref 1400 ref 1377 ref 3978 ref varTerm appTerm 3979 def appTerm 1161 ref appTerm appTerm 3980 def refl 839 ref 2746 ref 2897 ref 1318 ref appThm 3979 ref refl appThm appThm appThm appThm absThm appThm appThm appThm nil 77 ref 31 remove 19 ref 3978 remove 3980 remove 38 ref 28 ref 1062 ref 3979 remove appTerm appTerm appTerm appTerm absTerm appTerm 3981 def appTerm nil cons cons nil cons nil cons cons 1026 ref subst trans trans sym 2769 remove nil 346 ref 424 remove cons 3982 def 347 ref 3981 remove nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 90 ref 2281 ref 23 ref 1400 ref 1377 ref 2283 ref appTerm 3983 def appTerm 3984 def 1161 ref appTerm 3985 def appTerm 38 ref 28 ref 1062 ref 3983 ref appTerm appTerm 3986 def appTerm 3987 def appTerm 3988 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2281 ref nil 77 ref 3988 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 3985 ref nil cons 3989 def cons 347 ref 3987 ref nil cons 3990 def cons 3991 def nil cons 3992 def cons nil cons cons 3993 def 362 ref subst 3993 remove 412 ref subst 1880 remove 3983 ref appTerm 3994 def betaConv nil 2103 ref 347 ref 3994 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 2750 ref 700 ref 3983 ref nil cons 3995 def cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 1612 ref 3983 ref appTerm 1487 ref appTerm appTerm 56 ref 3986 ref appTerm 3996 def 122 ref 3983 remove appTerm 134 ref appTerm appTerm appTerm nil cons cons 3992 remove cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 1971 ref 2401 ref cons nil cons cons 3997 def 2028 ref subst appThm 3996 remove refl nil 2493 remove nil cons nil cons cons 1442 ref 38 ref 2072 remove 134 ref appTerm 3998 def appTerm 3999 def absTerm 4000 def 1447 ref appTerm 4001 def betaConv nil 19 ref 4000 ref appTerm 4002 def axiom nil 346 ref 4002 remove nil cons cons 347 ref 4001 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 4000 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 4003 def nil 346 ref 3999 remove nil cons cons 347 ref 56 ref 3998 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 379 ref 3998 ref nil cons cons nil cons nil cons cons 791 ref subst eqMp 4004 def subst appThm nil 77 ref 3986 remove nil cons cons nil cons nil cons cons 826 ref subst trans appThm appThm 3987 ref refl appThm sym 3997 remove 1979 remove subst sym 1442 ref 24 ref 3984 ref 1447 ref appTerm appTerm 1985 ref 2088 ref appTerm 4005 def appTerm absTerm 4006 def 1161 ref appTerm betaConv sym 1017 ref nil 77 ref 3989 ref cons nil cons nil cons cons 82 ref subst 3985 remove assume eqMp appThm 1622 ref 2088 ref appTerm 4007 def refl appThm nil 77 ref 4007 ref nil cons 4008 def cons nil cons nil cons cons 1026 ref subst trans sym 1622 ref refl 4009 def 2166 remove appThm nil 77 ref 3965 ref cons nil cons nil cons cons 82 ref subst 3956 ref assume eqMp trans sym 81 ref eqMp eqMp eqMp 93 ref 90 ref 4006 ref nil cons cons 1510 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 4006 remove appTerm nil cons cons 347 ref 3984 remove 2088 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 ref 2088 ref nil cons 4010 def cons 4011 def 1308 ref 3995 remove cons nil cons cons nil cons cons 3815 ref subst eqMp eqMp nil 346 ref 2368 remove 1487 ref appTerm 4012 def nil cons cons 4013 def 347 ref 23 ref 3987 ref appTerm 3987 ref appTerm 4014 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 77 ref 3990 ref cons nil cons nil cons cons 851 ref subst sym 81 ref eqMp eqMp nil 346 ref 24 ref 4012 ref appTerm 4014 remove appTerm nil cons cons 347 ref 23 ref 23 ref 4012 remove appTerm 3987 ref appTerm appTerm 3987 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 3990 ref cons 3991 remove 4013 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp nil 379 ref 3989 remove cons 381 ref 3990 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 379 ref 3965 remove cons 4015 def 381 ref 3967 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil "a" 1 ref var 4016 def 3944 ref 2281 ref 1486 ref 1927 ref absTerm 4017 def absTerm 4018 def appTerm 4019 def nil cons cons nil cons nil cons cons 54 ref 2805 ref 866 ref 66 ref 2813 remove 408 ref appTerm 4020 def absTerm appTerm absTerm 4021 def 2806 ref appTerm 4022 def betaConv 60 ref refl 2805 ref 866 ref refl 66 ref nil 2242 ref 2831 remove cons nil cons nil cons cons 2854 ref subst absThm appThm absThm appThm nil 60 ref 2805 ref 866 ref 66 ref 2244 ref 2806 ref appTerm absTerm appTerm 4023 def absTerm 4024 def appTerm 4025 def axiom 4026 def eqMp nil 346 ref 60 ref 4021 ref appTerm nil cons cons 347 ref 4022 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 4021 remove nil cons cons 2832 ref cons nil cons cons 414 ref subst eqMp eqMp 4027 def subst 4028 def subst nil 346 ref 108 ref "ld'" 1 ref var 4029 def 1323 ref 4019 ref appTerm 4029 ref varTerm 4030 def appTerm 4031 def absTerm 4032 def appTerm 4033 def nil cons cons 2269 ref cons nil cons cons 403 ref subst nil 5 ref 4029 ref 23 ref 4032 ref 4030 ref appTerm 4034 def appTerm 2267 ref appTerm 4035 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 4029 remove nil 77 ref 4035 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4034 ref nil cons 4036 def cons 2269 ref cons nil cons cons 4037 def 362 ref subst 4037 remove 412 ref subst 4034 ref betaConv 4034 remove assume eqMp nil 346 ref 4031 ref nil cons 4038 def cons 2269 ref cons nil cons cons 4039 def 403 ref subst proveHyp 4039 ref 362 ref subst 4039 remove 412 ref subst nil 4016 ref 3944 ref 2281 ref 1486 ref 24 ref 1400 ref 135 ref appTerm 4040 def 1487 ref appTerm appTerm 4041 def 39 ref 1062 ref 3061 ref "Number.Natural.-" const 129 ref constTerm 4042 def 1487 ref appTerm 4043 def 135 ref appTerm 4044 def appTerm appTerm 4045 def appTerm appTerm 4046 def absTerm 4047 def absTerm 4048 def appTerm 4049 def nil cons cons nil cons nil cons cons 4028 ref subst nil 346 ref 108 ref "dn'" 1 ref var 4050 def 1323 ref 4049 ref appTerm 4050 ref varTerm 4051 def appTerm 4052 def absTerm 4053 def appTerm 4054 def nil cons cons 2269 ref cons nil cons cons 403 ref subst nil 5 ref 4050 ref 23 ref 4053 ref 4051 ref appTerm 4055 def appTerm 2267 ref appTerm 4056 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 4050 remove nil 77 ref 4056 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4055 ref nil cons 4057 def cons 2269 ref cons nil cons cons 4058 def 362 ref subst 4058 remove 412 ref subst 4055 ref betaConv 4055 remove assume eqMp nil 346 ref 4052 ref nil cons 4059 def cons 2269 ref cons nil cons cons 4060 def 403 ref subst proveHyp 4060 ref 362 ref subst 4060 remove 412 ref subst "r" 215 ref var 4061 def 23 ref 14 ref 1160 ref 108 ref 1567 ref 4061 ref varTerm 4062 def 1163 ref appTerm 1569 ref appTerm 4063 def absTerm appTerm absTerm appTerm 4064 def appTerm 4065 def 11 ref 415 ref 101 ref 1477 ref "Hardware.Bus.lift2" const 0 ref 215 ref 220 ref cons opType constTerm 4066 def 4062 ref appTerm 4067 def 857 ref appTerm 4068 def 1478 ref appTerm 4069 def absTerm appTerm 4070 def absTerm 4071 def appTerm appTerm absTerm 4072 def "nbi" 1 ref var 4073 def "nbi'" 1 ref var 4074 def 1323 ref 4074 ref varTerm 4075 def appTerm 4076 def 3944 ref 2281 ref 1486 ref 26 ref 4073 ref varTerm 4077 def appTerm 4078 def 2675 ref appTerm 4079 def absTerm 4080 def absTerm 4081 def appTerm 4082 def appTerm 4083 def absTerm 4084 def absTerm 4085 def appTerm 4086 def betaConv nil 7 ref 0 ref 0 ref 215 ref 3 ref cons opType 4087 def 3 ref cons opType 4088 def constTerm 4089 def 4072 ref appTerm 4090 def axiom 4091 def nil 346 ref 4090 remove nil cons cons 347 ref 4086 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 228 ref cons nil cons 4092 def "P" 4087 remove var 4093 def 4072 remove nil cons cons "x" 215 remove var 4094 def 4085 ref nil cons 4095 def cons nil cons 4096 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 14 ref 1160 ref 108 ref 1567 ref 4085 ref 1163 ref appTerm 4097 def 1569 ref appTerm 4098 def absTerm appTerm absTerm appTerm appTerm 11 ref 415 ref 101 ref 1477 ref 4066 ref 4085 ref appTerm 4099 def 857 ref appTerm 4100 def 1478 ref appTerm 4101 def absTerm appTerm absTerm 4102 def appTerm 4103 def appTerm nil cons cons 347 ref 101 ref "nb'" 8 ref var 4104 def 24 ref 122 ref 123 ref 4104 ref varTerm 4105 def appTerm 4106 def appTerm 4107 def 124 ref appTerm 4108 def appTerm 4109 def 24 ref 19 ref 2195 ref 55 ref 0 ref 1884 ref 2050 remove nil cons cons opType constTerm 4110 def 1889 ref 4105 ref appTerm 4111 def 2198 ref appTerm appTerm 3876 remove 0 ref 0 ref 16 ref 1888 remove cons opType 4112 def 0 ref 2652 ref 1887 ref cons opType nil cons cons opType constTerm 4113 def 2281 ref 1486 ref 1890 ref 2675 ref appTerm absTerm absTerm 4114 def appTerm 4115 def 2666 ref appTerm appTerm 4116 def absTerm 4117 def appTerm 4118 def appTerm 4119 def 4099 ref 34 ref appTerm 4120 def 4105 ref appTerm 4121 def appTerm 4122 def appTerm 4123 def absTerm 4124 def appTerm 4125 def nil cons 4126 def cons nil cons 4127 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 14 ref refl 4128 def 1160 ref 3913 ref 1567 ref 4097 remove betaConv 1569 ref refl 4129 def appThm 4074 ref 4076 ref 3944 ref 2281 ref 1486 ref 1169 remove 2675 ref appTerm absTerm absTerm appTerm 4130 def appTerm absTerm 1569 ref appTerm betaConv trans absThm appThm nil 4016 ref 4130 remove nil cons cons nil cons nil cons cons 54 ref nil 77 ref 4023 remove nil cons cons nil cons nil cons cons 82 ref subst 4024 ref 2806 ref appTerm 4131 def betaConv 4026 remove nil 346 ref 4025 remove nil cons cons 347 ref 4131 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 4024 remove nil cons cons 2832 ref cons nil cons cons 414 ref subst eqMp eqMp 4132 def eqMp subst subst trans absThm appThm 1029 ref 54 ref 2341 remove subst subst trans appThm 4103 ref refl appThm nil 77 ref 4103 remove nil cons 4133 def cons nil cons nil cons cons 833 ref subst trans appThm 4125 ref refl appThm sym nil 346 ref 4133 ref cons 4134 def 4127 ref cons nil cons cons 4135 def 362 ref subst 4135 remove 412 ref subst 4102 ref 34 ref appTerm 4136 def betaConv nil 4134 remove 347 ref 4136 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 83 ref 4102 remove nil cons cons 416 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 101 ref 1477 ref 4120 remove 1478 ref appTerm 4137 def absTerm 4138 def appTerm 4139 def nil cons cons 4127 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 4104 ref 23 ref 4138 ref 4105 ref appTerm 4140 def appTerm 4125 ref appTerm 4141 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 4104 ref nil 77 ref 4141 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4140 ref nil cons 4142 def cons 4127 ref cons nil cons cons 4143 def 362 ref subst 4143 remove 412 ref subst 4140 ref betaConv 4140 remove assume eqMp nil 346 ref 4121 ref nil cons 4144 def cons 4145 def 4127 remove cons nil cons cons 4146 def 403 ref subst proveHyp 4146 ref 362 ref subst 4146 remove 412 ref subst 4124 ref 4105 ref appTerm 4147 def betaConv 4148 def sym 4109 remove refl 4119 remove refl nil 77 ref 4144 ref cons nil cons nil cons cons 82 ref subst 4121 ref assume eqMp 4149 def appThm nil 77 ref 4118 remove nil cons 4150 def cons nil cons nil cons cons 1690 ref subst trans appThm sym 4061 ref 101 ref 415 ref 24 ref 4068 ref 4105 ref appTerm appTerm 1079 ref 124 ref appTerm 4151 def appTerm absTerm appTerm absTerm 4152 def 4085 ref appTerm betaConv sym 415 ref 24 ref 4100 remove 4105 ref appTerm appTerm 4151 remove appTerm absTerm 4153 def 34 ref appTerm betaConv sym 1017 ref 4149 remove appThm 4154 def nil 700 ref 1982 remove cons nil cons nil cons cons 2745 ref subst appThm 1030 ref trans sym 81 ref eqMp eqMp 85 ref 83 ref 4153 remove nil cons cons 416 ref cons nil cons cons 1157 ref subst proveHyp eqMp 4092 ref 4093 ref 4152 ref nil cons cons 4096 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 98 ref 4088 remove constTerm 4155 def 4152 remove appTerm nil cons cons 347 ref 4108 ref nil cons 4156 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1983 ref 1477 ref 4105 ref nil cons 4157 def cons nil cons cons nil cons cons 1442 ref 23 ref 4155 ref 4061 ref 101 ref 415 ref 24 ref 4069 ref appTerm 4158 def 1079 ref 1447 ref appTerm 4159 def appTerm 4160 def absTerm 4161 def appTerm 4162 def absTerm 4163 def appTerm 4164 def appTerm 4165 def 122 ref 123 ref 1478 ref appTerm 4166 def appTerm 1447 ref appTerm 4167 def appTerm 4168 def absTerm 4169 def 1447 ref appTerm 4170 def betaConv 1477 ref 19 ref 4169 ref appTerm 4171 def absTerm 4172 def 1478 ref appTerm 4173 def betaConv nil 4089 ref 4061 ref 11 ref 415 ref 11 ref 1477 ref 19 ref 1442 ref 23 ref 4160 ref appTerm 4167 ref appTerm absTerm 4174 def appTerm 4175 def absTerm 4176 def appTerm 4177 def absTerm 4178 def appTerm 4179 def absTerm 4180 def appTerm 4181 def axiom nil 346 ref 4181 ref nil cons 4182 def cons 4183 def 347 ref 11 ref 4172 ref appTerm nil cons 4184 def cons nil cons cons nil cons cons 4185 def 403 ref subst proveHyp 4185 ref 362 ref subst 4185 remove 412 ref subst nil 83 ref 4172 remove nil cons cons 4186 def nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 4171 remove nil cons 4187 def cons nil cons nil cons cons 82 ref subst nil 90 ref 4169 remove nil cons cons 4188 def nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 4168 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4164 remove nil cons 4189 def cons 4190 def 347 ref 4167 ref nil cons 4191 def cons nil cons 4192 def cons nil cons cons 4193 def 362 ref subst 4193 remove 412 ref subst nil 4183 ref 4192 ref cons nil cons cons 4194 def 403 ref subst nil 4190 remove 347 ref 23 ref 4181 remove appTerm 4167 ref appTerm 4195 def nil cons 4196 def cons nil cons 4197 def cons nil cons cons 403 ref subst nil 4093 ref 4061 ref 23 ref 4163 ref 4062 ref appTerm 4198 def appTerm 4195 ref appTerm 4199 def absTerm nil cons cons nil cons nil cons cons 4092 ref 53 ref cons 75 ref subst subst 4061 ref nil 77 ref 4199 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4198 ref nil cons 4200 def cons 4197 ref cons nil cons cons 4201 def 362 ref subst 4201 remove 412 ref subst 4198 ref betaConv 4198 remove assume eqMp nil 346 ref 4162 ref nil cons cons 4197 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 415 ref 23 ref 4161 ref 857 ref appTerm 4202 def appTerm 4195 ref appTerm 4203 def absTerm 4204 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 4203 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4202 ref nil cons 4205 def cons 4197 ref cons nil cons cons 4206 def 362 ref subst 4206 remove 412 ref subst 4202 ref betaConv 4202 remove assume eqMp nil 346 ref 4160 remove nil cons 4207 def cons 4208 def 4197 remove cons nil cons cons 4209 def 403 ref subst proveHyp 4209 ref 362 ref subst 4209 remove 412 ref subst 4194 ref 362 ref subst 4194 remove 412 ref subst nil 4208 remove 4192 ref cons nil cons cons 403 ref subst 4174 ref 1447 ref appTerm 4210 def betaConv 4176 ref 1478 ref appTerm 4211 def betaConv 4178 ref 857 ref appTerm 4212 def betaConv 4180 ref 4062 ref appTerm 4213 def betaConv nil 4183 remove 347 ref 4213 remove nil cons cons nil cons cons nil cons cons 403 ref subst 4092 ref 4093 ref 4180 remove nil cons cons 4094 ref 4062 ref nil cons cons nil cons 4214 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4179 remove nil cons cons 347 ref 4212 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4178 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4177 remove nil cons cons 347 ref 4211 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4176 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4175 remove nil cons cons 347 ref 4210 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 4174 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 4182 remove cons 4215 def 381 ref 4191 remove cons nil cons 4216 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 4207 remove cons 381 ref 4196 remove cons nil cons 4217 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 4205 remove cons 4217 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 4204 remove appTerm nil cons cons 347 ref 23 ref 4162 remove appTerm 4195 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4161 remove nil cons cons 4217 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 4200 remove cons 4217 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 4089 ref 4094 ref 23 ref 4163 ref 4094 ref varTerm appTerm appTerm 4195 ref appTerm absTerm appTerm nil cons cons 347 ref 4165 remove 4195 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4092 ref 4093 ref 4163 remove nil cons cons 4217 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 4189 remove cons 4216 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 4215 remove 381 ref 4184 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 4184 remove cons 347 ref 4173 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 4186 remove 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4187 remove cons 347 ref 4170 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 4188 remove 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 4218 def subst eqMp nil 346 ref 4156 ref cons 347 ref 4150 ref cons nil cons cons nil cons cons 412 ref subst proveHyp nil 90 ref 4117 ref nil cons cons 4219 def nil cons nil cons cons 95 ref subst 2195 ref nil 77 ref 4116 remove nil cons cons nil cons nil cons cons 82 ref subst 4110 ref refl 4220 def nil 20 ref 2597 remove cons 4221 def 415 ref 4157 ref cons 4222 def nil cons 4223 def cons nil cons cons 20 ref 4110 ref 2063 ref appTerm "Data.List.map" const 4224 def 0 ref 4 ref 0 ref 1883 ref 50 ref opType 4225 def 1887 ref cons opType nil cons cons opType constTerm 4226 def 1054 ref 1067 ref absTerm appTerm "Hardware.Bus.wires" const 0 ref 8 ref 4225 ref nil cons 4227 def cons opType constTerm 4228 def 857 ref appTerm 4229 def appTerm appTerm absTerm 4230 def 29 ref appTerm 4231 def betaConv 415 ref 19 ref 4230 ref appTerm 4232 def absTerm 4233 def 857 ref appTerm 4234 def betaConv nil 11 ref 4233 ref appTerm 4235 def axiom nil 346 ref 4235 remove nil cons cons 347 ref 4234 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4233 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4232 remove nil cons cons 347 ref 4231 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 4230 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp 4236 def subst appThm 4113 ref refl 2281 ref 1486 ref nil 20 ref 2786 ref cons 4237 def 416 ref cons nil cons cons 4236 remove subst absThm absThm appThm 2666 ref refl appThm appThm sym nil 4145 remove 347 ref 55 ref 0 ref 4225 ref 0 ref 4225 ref 3 ref cons opType 4238 def nil cons cons opType constTerm 4239 def 4228 ref 4105 ref appTerm 4240 def appTerm 4241 def 4224 ref 0 ref 0 ref 1 ref 50 remove cons opType 4242 def 0 ref 4225 ref 4227 ref cons opType nil cons 4243 def cons opType constTerm 4073 ref 4082 ref absTerm 4244 def appTerm 4245 def 4228 ref 34 ref appTerm 4246 def appTerm 4247 def appTerm 4248 def nil cons cons nil cons cons nil cons cons 403 ref subst 4104 ref 23 ref 4121 ref appTerm 4249 def 4248 ref appTerm absTerm 4250 def 4105 ref appTerm 4251 def betaConv 12 ref 11 ref 4250 ref appTerm 4252 def absTerm 4253 def 34 ref appTerm 4254 def betaConv 24 ref 4239 ref 4228 ref "Hardware.Bus.nil" const 8 ref constTerm 4255 def appTerm 4256 def appTerm 4245 ref 4256 remove appTerm 4257 def appTerm 4258 def appTerm 4259 def refl 4128 ref "xh" 1 ref var 4260 def 11 ref refl 4261 def "xt" 8 ref var 4262 def 4128 ref "yh" 1 ref var 4263 def 4261 ref "yt" 8 ref var 4264 def 96 ref 1017 ref 4085 ref 4260 ref varTerm 4265 def appTerm 4266 def betaConv 4263 ref varTerm 4267 def refl appThm 4074 ref 4076 ref 3944 ref 2281 ref 1486 ref 26 ref 4265 ref appTerm 2675 ref appTerm absTerm absTerm appTerm 4268 def appTerm absTerm 4267 ref appTerm betaConv trans appThm 24 ref 4099 remove 4262 ref varTerm 4269 def appTerm 4264 ref varTerm 4270 def appTerm 4271 def appTerm 4272 def 4239 ref 4228 ref 4270 ref appTerm appTerm 4245 ref 4228 ref 4269 ref appTerm 4273 def appTerm 4274 def appTerm 4275 def appTerm 4276 def refl appThm appThm 4239 ref 4228 ref "Hardware.Bus.append" const 0 ref 8 ref 0 ref 8 ref 84 ref cons opType nil cons cons opType constTerm 4277 def "Hardware.Bus.single" const 0 ref 1 ref 84 ref cons opType constTerm 4278 def 4267 ref appTerm 4279 def appTerm 4270 ref appTerm 4280 def appTerm appTerm 4245 ref 4228 ref 4277 ref 4278 ref 4265 ref appTerm 4281 def appTerm 4269 ref appTerm 4282 def appTerm appTerm 4283 def appTerm 4284 def refl appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm sym 4239 ref refl 4285 def 4228 ref refl 4286 def nil 55 ref 219 ref constTerm 4287 def 4255 ref appTerm "Hardware.bus" const 0 ref 4225 ref 84 remove cons opType constTerm 4288 def "Data.List.[]" const 4289 def 4225 ref constTerm 4290 def appTerm appTerm axiom appThm nil "l" 4225 ref var 4291 def 4290 ref nil cons 4292 def cons nil cons nil cons cons 4291 ref 4239 remove 4228 ref 4288 ref 4291 ref varTerm 4293 def appTerm appTerm appTerm 4293 ref appTerm absTerm 4294 def 4293 ref appTerm 4295 def betaConv nil 7 ref 0 ref 4238 ref 3 ref cons opType constTerm 4294 ref appTerm 4296 def axiom nil 346 ref 4296 remove nil cons cons 347 ref 4295 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 4227 remove cons nil cons 4297 def "P" 4238 remove var 4294 remove nil cons cons "x" 4225 ref var 4298 def 4293 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 4299 def subst trans 4300 def appThm 4245 remove refl 4301 def 4300 remove appThm nil "f" 4242 ref var 4244 ref nil cons 4302 def cons nil cons 4303 def nil cons cons 51 ref 3922 ref nil cons cons 53 ref cons 4304 def 3933 ref 55 ref 0 ref 1883 ref 2799 ref opType 4305 def 0 ref 4305 ref 3 ref cons opType nil cons cons opType constTerm 4306 def 4224 ref 0 ref 3930 ref 0 ref 1883 ref 802 ref opType 4307 def 4305 ref nil cons 4308 def cons opType nil cons cons opType constTerm 4309 def 3934 ref appTerm 4310 def 4289 ref 4307 ref constTerm 4311 def appTerm appTerm 4289 ref 4305 ref constTerm appTerm absTerm 4312 def 3934 ref appTerm 4313 def betaConv nil 7 ref 3932 remove constTerm 4314 def 4312 ref appTerm 4315 def axiom nil 346 ref 4315 remove nil cons cons 347 ref 4313 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 3930 ref nil cons cons nil cons 4316 def "P" 3931 remove var 4317 def 4312 remove nil cons cons "x" 3930 ref var 4318 def 3934 ref nil cons cons nil cons 4319 def cons nil cons cons 414 ref subst eqMp eqMp subst subst trans appThm nil 4298 ref 4292 remove cons nil cons nil cons cons 4297 remove 53 ref cons 2335 ref subst 4320 def subst trans sym 81 ref eqMp nil 346 ref 4258 remove nil cons cons 347 ref 14 ref 4260 ref 11 ref 4262 ref 14 ref 4263 ref 11 ref 4264 ref 23 ref 24 ref 1323 ref 4267 ref appTerm 4268 ref appTerm 4321 def appTerm 4276 ref appTerm 4322 def appTerm 4284 ref appTerm 4323 def absTerm 4324 def appTerm 4325 def absTerm 4326 def appTerm 4327 def absTerm 4328 def appTerm 4329 def absTerm 4330 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 5 ref 4330 remove nil cons cons nil cons nil cons cons 76 ref subst 4260 ref nil 77 ref 4329 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4328 remove nil cons cons nil cons nil cons cons 87 ref subst 4262 ref nil 77 ref 4327 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4326 remove nil cons cons nil cons nil cons cons 76 ref subst 4263 ref nil 77 ref 4325 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4324 remove nil cons cons nil cons nil cons cons 87 ref subst 4264 ref nil 77 ref 4323 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4322 remove nil cons 4331 def cons 347 ref 4284 ref nil cons 4332 def cons nil cons cons nil cons cons 4333 def 362 ref subst 4333 remove 412 ref subst nil 379 ref 4321 ref nil cons cons 381 ref 4276 ref nil cons cons nil cons cons nil cons cons 4334 def 395 ref subst 4334 remove 428 ref subst nil 379 ref 4271 remove nil cons cons 381 ref 4275 ref nil cons cons nil cons cons nil cons cons 428 ref subst 4285 remove 4286 ref nil 1477 ref 4270 ref nil cons cons 415 ref 4279 remove nil cons cons nil cons cons nil cons cons 1477 ref 4287 ref 4277 ref 857 ref appTerm 1478 ref appTerm 4335 def appTerm 4288 ref "Data.List.@" const 4336 def 0 ref 4225 ref 4243 ref cons opType constTerm 4337 def 4229 remove appTerm 4228 remove 1478 ref appTerm appTerm appTerm appTerm absTerm 4338 def 1478 ref appTerm 4339 def betaConv 415 ref 11 ref 4338 ref appTerm 4340 def absTerm 4341 def 857 ref appTerm 4342 def betaConv nil 11 ref 4341 ref appTerm 4343 def axiom nil 346 ref 4343 remove nil cons cons 347 ref 4342 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4341 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4340 remove nil cons cons 347 ref 4339 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4338 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp 4344 def subst 4288 ref refl 4345 def 4337 remove refl 4346 def 4286 ref nil 1054 ref 4267 ref nil cons cons nil cons nil cons cons 1054 ref 4287 ref 4278 ref 1057 ref appTerm 4347 def appTerm 4288 remove "Data.List.::" const 4348 def 0 ref 1 ref 4243 remove cons opType constTerm 4349 def 1057 ref appTerm 4290 ref appTerm appTerm appTerm absTerm 4350 def 1057 ref appTerm 4351 def betaConv nil 14 ref 4350 ref appTerm 4352 def axiom nil 346 ref 4352 remove nil cons cons 347 ref 4351 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 4350 remove nil cons cons 1106 ref cons nil cons cons 414 ref subst eqMp eqMp 4353 def subst 4345 ref 4349 ref refl 4354 def 4321 remove assume appThm 4290 ref refl appThm appThm trans appThm nil 4291 ref 4349 ref 4268 ref appTerm 4355 def 4290 ref appTerm nil cons cons nil cons nil cons cons 4299 ref subst trans appThm 4275 remove assume appThm nil "t" 4225 ref var 4356 def 4274 ref nil cons cons "h" 1 ref var 4357 def 4268 remove nil cons cons nil cons cons nil cons cons 54 ref "t" 4307 ref var 4358 def 55 ref 0 ref 4307 ref 0 ref 4307 ref 3 ref cons opType 4359 def nil cons cons opType constTerm 4336 remove 0 ref 4307 ref 0 ref 4307 ref 4307 ref nil cons 4360 def cons opType nil cons 4361 def cons opType constTerm 4348 ref 0 ref 57 ref 4361 remove cons opType constTerm "h" 57 ref var 4362 def varTerm 4363 def appTerm 4364 def 4311 remove appTerm appTerm 4358 ref varTerm 4365 def appTerm appTerm 4364 remove 4365 ref appTerm 4366 def appTerm absTerm 4367 def 4365 ref appTerm 4368 def betaConv 4362 ref 7 ref 0 ref 4359 ref 3 ref cons opType constTerm 4369 def 4367 ref appTerm 4370 def absTerm 4371 def 4363 ref appTerm 4372 def betaConv nil 60 ref 4371 ref appTerm 4373 def axiom nil 346 ref 4373 remove nil cons cons 347 ref 4372 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 4371 remove nil cons cons 66 ref 4363 ref nil cons cons nil cons 4374 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4370 remove nil cons cons 347 ref 4368 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 4360 remove cons nil cons 4375 def "P" 4359 remove var 4376 def 4367 remove nil cons cons "x" 4307 ref var 4377 def 4365 ref nil cons cons nil cons 4378 def cons nil cons cons 414 ref subst eqMp eqMp subst 4379 def subst trans appThm trans appThm nil 4291 ref 4355 remove 4274 ref appTerm nil cons 4380 def cons nil cons nil cons cons 4299 ref subst trans appThm 4301 remove 4286 ref nil 1477 ref 4269 ref nil cons cons 415 ref 4281 remove nil cons cons nil cons cons nil cons cons 4344 remove subst 4345 remove 4346 remove 4286 remove nil 1054 ref 4265 ref nil cons 4381 def cons nil cons nil cons cons 4353 remove subst appThm nil 4291 ref 4349 remove 4265 ref appTerm 4382 def 4290 remove appTerm nil cons cons nil cons nil cons cons 4299 ref subst trans appThm 4273 ref refl appThm nil 4356 remove 4273 ref nil cons cons 4383 def 4357 remove 4381 remove cons 4384 def nil cons cons nil cons cons 4379 remove subst trans appThm trans appThm nil 4291 ref 4382 remove 4273 remove appTerm nil cons cons nil cons nil cons cons 4299 remove subst trans appThm nil 4383 remove 4384 remove 4303 remove cons cons nil cons cons 4304 remove 4358 remove 4306 remove 4310 ref 4366 remove appTerm appTerm 4348 ref 0 ref 2797 ref 0 ref 4305 ref 4308 remove cons opType nil cons cons opType constTerm 3934 ref 4363 ref appTerm appTerm 4310 remove 4365 ref appTerm appTerm appTerm absTerm 4385 def 4365 remove appTerm 4386 def betaConv 4362 remove 4369 ref 4385 ref appTerm 4387 def absTerm 4388 def 4363 remove appTerm 4389 def betaConv 3933 ref 60 ref 4388 ref appTerm 4390 def absTerm 4391 def 3934 ref appTerm 4392 def betaConv nil 4314 ref 4391 ref appTerm 4393 def axiom nil 346 ref 4393 remove nil cons cons 347 ref 4392 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4316 ref 4317 ref 4391 remove nil cons cons 4319 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4390 remove nil cons cons 347 ref 4389 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 4388 remove nil cons cons 4374 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4387 remove nil cons cons 347 ref 4386 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4375 ref 4376 ref 4385 remove nil cons cons 4378 remove cons nil cons cons 414 ref subst eqMp eqMp subst subst 4354 remove 4244 ref 4265 ref appTerm betaConv appThm 4274 ref refl appThm trans trans appThm nil 4298 remove 4380 remove cons nil cons nil cons cons 4320 remove subst trans sym 81 ref eqMp proveHyp proveHyp proveHyp eqMp nil 379 ref 4331 remove cons 381 ref 4332 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp nil 346 ref 4259 remove 14 ref 4260 ref 11 ref 4262 ref 14 ref 4263 ref 11 ref 4264 ref 23 ref 24 ref 4266 remove 4267 ref appTerm appTerm 4394 def 4276 remove appTerm appTerm 4284 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm nil cons cons 347 ref 11 ref 4253 ref appTerm nil cons 4395 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 1017 ref 12 ref 4104 ref 4248 ref absTerm 4396 def absTerm 4397 def 4255 ref appTerm betaConv 4255 ref refl appThm 4104 ref 4241 ref 4257 remove appTerm absTerm 4255 ref appTerm betaConv trans appThm 4128 ref 4260 ref 4261 ref 4262 ref 4128 ref 4263 ref 4261 ref 4264 ref 96 ref 4394 remove refl 4272 remove refl 4397 ref 4269 ref appTerm betaConv 4270 ref refl appThm 4104 ref 4241 ref 4274 remove appTerm absTerm 4270 ref appTerm betaConv trans appThm appThm appThm 4397 ref 4282 ref appTerm betaConv 4280 ref refl appThm 4104 ref 4241 remove 4283 remove appTerm absTerm 4280 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm appThm 4261 ref 12 ref 4261 ref 4104 ref 4249 remove refl 4397 ref 34 ref appTerm betaConv 4105 ref refl 4398 def appThm 4396 remove 4105 ref appTerm betaConv trans appThm absThm appThm absThm appThm appThm nil "p" 219 ref var 4399 def 4397 remove nil cons cons 4061 ref 4095 remove cons nil cons cons nil cons cons 4399 ref 23 ref 24 ref 4399 remove varTerm 4400 def 4255 ref appTerm 4255 remove appTerm appTerm 14 ref 4260 remove 11 ref 4262 remove 14 ref 4263 remove 11 ref 4264 remove 23 ref 24 ref 4062 ref 4265 remove appTerm 4267 remove appTerm appTerm 24 ref 4067 remove 4269 ref appTerm 4270 ref appTerm appTerm 4400 ref 4269 remove appTerm 4270 remove appTerm appTerm appTerm appTerm 4400 ref 4282 remove appTerm 4280 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 11 ref 415 ref 11 ref 1477 ref 23 ref 4069 remove appTerm 4400 ref 857 ref appTerm 1478 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 4401 def 4400 ref appTerm 4402 def betaConv 4061 ref 7 ref 0 ref 0 ref 219 ref 3 ref cons opType 4403 def 3 ref cons opType constTerm 4401 ref appTerm 4404 def absTerm 4405 def 4062 ref appTerm 4406 def betaConv nil 4089 ref 4405 ref appTerm 4407 def axiom nil 346 ref 4407 remove nil cons cons 347 ref 4406 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4092 ref 4093 ref 4405 remove nil cons cons 4214 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4404 remove nil cons cons 347 ref 4402 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 220 remove cons nil cons "P" 4403 remove var 4401 remove nil cons cons "x" 219 remove var 4400 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp subst eqMp eqMp nil 346 ref 4395 remove cons 347 ref 4254 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4253 remove nil cons cons 416 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4252 remove nil cons cons 347 ref 4251 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4250 remove nil cons cons 4223 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp 56 ref "_34219" 4225 remove var 4408 def 4110 ref 4226 ref 1054 ref 1066 ref 2198 ref appTerm absTerm 4409 def appTerm 4410 def 4408 remove varTerm appTerm appTerm 4113 remove 2281 ref 1486 ref 4226 ref 1054 ref 1066 ref 2675 ref appTerm absTerm appTerm 4246 ref appTerm absTerm absTerm 4411 def appTerm 4412 def 2666 ref appTerm 4413 def appTerm absTerm 4414 def 4240 remove appTerm 4415 def appTerm refl 4414 ref 4247 ref appTerm betaConv appThm 383 ref 4415 remove betaConv appThm 4110 ref 4410 remove 4247 remove appTerm appTerm 4413 ref appTerm refl appThm trans 4414 remove refl 4248 remove assume appThm eqMp sym 4220 ref nil 4291 remove 4246 ref nil cons cons "g" 4242 remove var 4302 remove cons "f" 4 ref var 4409 ref nil cons cons nil cons cons 4416 def cons nil cons cons 51 ref 3922 ref "C" 3 ref cons nil cons 4417 def cons cons 53 ref cons "l" 4307 ref var 4418 def 55 ref 0 ref 1883 remove 3863 ref opType 4419 def 0 ref 4419 ref 3 ref cons opType nil cons cons opType constTerm 4420 def 4224 ref 0 ref 3864 ref 0 ref 4305 remove 4419 remove nil cons 4421 def cons opType nil cons cons opType constTerm "f" 3864 ref var 4422 def varTerm 4423 def appTerm 4309 remove "g" 3930 ref var 4424 def varTerm 4425 def appTerm 4418 ref varTerm 4426 def appTerm appTerm 4427 def appTerm 4224 remove 0 ref 0 ref 57 ref 3863 remove cons opType 4428 def 0 ref 4307 remove 4421 remove cons opType nil cons cons opType constTerm "Function.o" const 0 ref 3864 ref 0 ref 3930 ref 4428 remove nil cons cons opType nil cons cons opType 4429 def constTerm 4430 def 4423 ref appTerm 4425 ref appTerm appTerm 4426 ref appTerm 4431 def appTerm 4432 def absTerm 4433 def 4426 ref appTerm 4434 def betaConv 4424 ref 4369 ref 4433 ref appTerm 4435 def absTerm 4436 def 4425 ref appTerm 4437 def betaConv 4422 ref 4314 ref 4436 ref appTerm 4438 def absTerm 4439 def 4423 ref appTerm 4440 def betaConv 7 ref 0 ref 0 ref 3864 ref 3 ref cons opType 4441 def 3 ref cons opType constTerm 4442 def refl 4422 ref 4314 ref refl 4424 ref 4369 ref refl 4418 ref 4432 remove assume sym 4420 remove 4431 remove appTerm 4427 remove appTerm 4443 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 4442 ref 4422 ref 4314 ref 4424 ref 4369 remove 4418 remove 4443 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 346 ref 4442 remove 4439 ref appTerm nil cons cons 347 ref 4440 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 3865 remove cons nil cons "P" 4441 ref var 4439 remove nil cons cons "x" 3864 ref var 4423 ref nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4438 remove nil cons cons 347 ref 4437 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4316 ref 4317 ref 4436 remove nil cons cons 4318 remove 4425 ref nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4435 remove nil cons cons 347 ref 4434 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4375 remove 4376 remove 4433 remove nil cons cons 4377 remove 4426 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp subst subst 4226 ref refl 4444 def nil 4416 remove nil cons cons 3922 remove 51 remove 4417 ref cons cons 53 ref cons nil 55 ref 0 ref 4429 ref 0 ref 4429 remove 3 ref cons opType nil cons cons opType constTerm 4430 remove appTerm 4422 remove 4424 remove 66 ref 4423 ref 4425 ref 408 ref appTerm appTerm absTerm absTerm 4445 def absTerm 4446 def appTerm axiom 4423 ref refl appThm 4446 remove 4423 remove appTerm betaConv trans 4425 ref refl appThm 4445 remove 4425 remove appTerm betaConv trans subst subst 404 ref 4409 remove 4244 remove 684 ref appTerm 4447 def appTerm betaConv 26 ref refl 4448 def 4447 remove betaConv appThm 2899 remove appThm nil 3859 ref 2281 ref 1486 ref 688 ref 2675 ref appTerm absTerm absTerm 4449 def nil cons 4450 def cons nil cons nil cons cons 3950 ref 2198 ref appTerm 4451 def betaConv 3952 ref 3878 ref appTerm 4452 def betaConv nil 3954 remove 347 ref 4452 remove nil cons cons nil cons cons nil cons cons 403 ref subst 3883 remove 3858 remove 3952 remove nil cons cons "x" 121 ref var 3878 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3951 remove nil cons cons 347 ref 4451 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 3950 remove nil cons cons 2598 ref cons nil cons cons 414 ref subst eqMp eqMp 4453 def subst trans trans absThm trans appThm 4246 ref refl 4454 def appThm trans appThm 4413 ref refl appThm sym "x" 2652 ref var 4455 def 99 ref 2792 ref 99 ref 2791 ref 2658 ref 4455 ref varTerm appTerm 2662 ref 2792 ref varTerm appTerm 2791 ref varTerm 4456 def appTerm 4457 def appTerm absTerm appTerm absTerm appTerm absTerm 4458 def 2666 ref appTerm 4459 def betaConv 2796 ref nil 7 ref 0 ref 2802 remove 3 ref cons opType constTerm "x" 2801 remove var 4460 def 866 ref 2805 ref 3925 remove 2807 ref 2803 remove 4460 remove varTerm appTerm 2809 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm axiom subst nil 346 ref 7 ref 0 ref 2656 ref 3 ref cons opType constTerm 4458 ref appTerm nil cons cons 347 ref 4459 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 2653 remove cons nil cons "P" 2656 remove var 4458 remove nil cons cons 4455 remove 2666 ref nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 4461 def nil 346 ref 99 ref 2792 ref 99 ref 2791 ref 2667 ref 4457 remove appTerm absTerm appTerm absTerm 4462 def appTerm 4463 def nil cons cons 4464 def 347 ref 4110 ref 4226 ref 404 ref 3877 ref 4449 ref appTerm 4465 def 2666 ref appTerm absTerm appTerm 4246 ref appTerm appTerm 4413 remove appTerm 4466 def nil cons 4467 def cons nil cons 4468 def cons nil cons cons 403 ref subst proveHyp nil 90 ref "gj" 16 ref var 4469 def 23 ref 4462 ref 4469 ref varTerm 4470 def appTerm 4471 def appTerm 4466 ref appTerm 4472 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 4469 remove nil 77 ref 4472 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4471 ref nil cons 4473 def cons 4468 ref cons nil cons cons 4474 def 362 ref subst 4474 remove 412 ref subst 4471 ref betaConv 4471 remove assume eqMp nil 346 ref 99 ref 2791 ref 2667 ref 2662 remove 4470 ref appTerm 4475 def 4456 ref appTerm appTerm absTerm 4476 def appTerm 4477 def nil cons cons 4468 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref "gk" 16 ref var 4478 def 23 ref 4476 ref 4478 ref varTerm 4479 def appTerm 4480 def appTerm 4466 ref appTerm 4481 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 4478 remove nil 77 ref 4481 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4480 ref nil cons 4482 def cons 4468 ref cons nil cons cons 4483 def 362 ref subst 4483 remove 412 ref subst 4480 ref betaConv 4480 remove assume eqMp nil 346 ref 2667 ref 4475 remove 4479 ref appTerm 4484 def appTerm 4485 def nil cons 4486 def cons 4468 remove cons nil cons cons 4487 def 403 ref subst proveHyp 4487 ref 362 ref subst 4487 remove 412 ref subst 56 ref "_34221" 2652 ref var 4488 def 4110 ref 4226 ref 404 ref 4465 ref 4488 remove varTerm 4489 def appTerm absTerm appTerm 4246 ref appTerm appTerm 4412 ref 4489 remove appTerm appTerm absTerm 4490 def 2666 remove appTerm 4491 def appTerm refl 4490 ref 4484 ref appTerm betaConv appThm 383 ref 4491 remove betaConv appThm 4110 ref 4226 ref 404 ref 4465 remove 4484 ref appTerm absTerm appTerm 4246 ref appTerm appTerm 4412 remove 4484 remove appTerm appTerm refl appThm trans 4490 remove refl 4485 remove assume appThm eqMp sym 4220 ref 4444 remove 404 ref nil 2844 ref 4479 ref nil cons cons 4492 def 700 ref 4470 ref nil cons cons 4493 def "f" 121 remove var 4494 def 4450 remove cons nil cons cons cons nil cons cons 92 ref 2795 ref 4417 remove cons cons 53 ref cons nil 3867 remove "f" 3866 remove var varTerm 4495 def nil cons cons 3868 remove 2804 remove 408 ref appTerm 3929 ref appTerm 4496 def nil cons cons nil cons cons nil cons cons 3875 remove 3869 ref refl appThm 3874 remove 3869 remove appTerm betaConv trans 3871 ref refl appThm 3873 remove 3871 remove appTerm betaConv trans subst 55 ref 0 ref 3862 ref 0 ref 3862 remove 3 ref cons opType nil cons cons opType constTerm 4497 def "_1267" 2797 ref var 4498 def 4495 ref 408 ref appTerm 4498 ref varTerm 4499 def appTerm absTerm 3929 ref appTerm 4500 def appTerm refl 4498 ref 4495 ref 3870 ref 4496 ref appTerm 4501 def appTerm 4502 def 4499 ref appTerm absTerm 4503 def 3872 ref 4496 remove appTerm 4504 def appTerm betaConv appThm 4497 remove refl 4500 remove betaConv appThm 4502 remove 4504 remove appTerm refl appThm trans 55 ref 0 ref 3864 remove 4441 remove nil cons cons opType constTerm 4505 def "_1266" 57 ref var 4506 def 4498 remove 4495 remove 4506 remove varTerm appTerm 4499 remove appTerm absTerm absTerm 4507 def 408 ref appTerm 4508 def appTerm refl 4507 ref 4501 remove appTerm betaConv appThm 4505 remove refl 4508 remove betaConv appThm 4503 remove refl appThm trans 4507 remove refl nil 2807 ref 3929 ref nil cons 4509 def cons 2805 ref 1155 remove cons nil cons cons nil cons cons 4510 def 2807 ref 801 ref 3870 remove 2809 ref appTerm appTerm 2806 ref appTerm absTerm 4511 def 2808 ref appTerm 4512 def betaConv 2805 ref 2820 ref 4511 ref appTerm 4513 def absTerm 4514 def 2806 ref appTerm 4515 def betaConv nil 60 ref 4514 ref appTerm 4516 def axiom nil 346 ref 4516 remove nil cons cons 347 ref 4515 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 4514 remove nil cons cons 2832 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4513 remove nil cons cons 347 ref 4512 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2833 ref 2834 ref 4511 remove nil cons cons 2836 ref cons nil cons cons 414 ref subst eqMp eqMp subst sym appThm eqMp 4510 remove 2807 remove 2816 ref 3872 remove 2809 remove appTerm appTerm 2808 ref appTerm absTerm 4517 def 2808 remove appTerm 4518 def betaConv 2805 ref 2820 ref 4517 ref appTerm 4519 def absTerm 4520 def 2806 ref appTerm 4521 def betaConv nil 60 ref 4520 ref appTerm 4522 def axiom nil 346 ref 4522 remove nil cons cons 347 ref 4521 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 4520 remove nil cons cons 2832 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4519 remove nil cons cons 347 ref 4518 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2833 ref 2834 ref 4517 remove nil cons cons 2836 remove cons nil cons cons 414 ref subst eqMp eqMp subst sym appThm eqMp sym trans 4523 def subst 4524 def subst 4449 remove 4470 ref appTerm betaConv 4479 ref refl 4525 def appThm 1486 ref 688 ref 1062 ref 4470 ref appTerm 4526 def appTerm 4527 def absTerm 4479 ref appTerm betaConv trans trans absThm appThm 4454 remove appThm appThm nil 4492 remove 4493 remove "f" 4112 remove var 4528 def 4411 ref nil cons cons nil cons cons cons nil cons cons 92 ref 2795 remove "C" 1887 ref cons nil cons cons cons 53 ref cons 4523 remove subst 4529 def subst 4411 remove 4470 remove appTerm betaConv 4525 remove appThm 1486 ref 4226 ref 1054 ref 1066 ref 4526 remove appTerm absTerm appTerm 4246 ref appTerm absTerm 4479 remove appTerm betaConv trans trans appThm nil 2055 ref 4226 remove 404 ref 4527 remove absTerm appTerm 4246 remove appTerm nil cons cons nil cons nil cons cons 2053 ref 53 ref cons 4530 def 2335 ref subst subst trans sym 81 ref eqMp eqMp eqMp nil 379 ref 4486 remove cons 381 ref 4467 remove cons nil cons 4531 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 4482 remove cons 4531 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 4476 ref 963 ref appTerm appTerm 4466 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 4477 remove appTerm 4466 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 4476 remove nil cons cons 4531 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 4473 remove cons 4531 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 4462 ref 963 ref appTerm appTerm 4532 def 4466 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 4463 remove appTerm 4533 def 4466 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 4462 ref nil cons cons 4534 def 4531 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp proveHyp eqMp eqMp absThm eqMp eqMp eqMp eqMp 85 ref 83 ref 4124 ref nil cons cons 4535 def 4223 ref cons nil cons cons 1157 ref subst proveHyp eqMp nil 379 ref 4144 ref cons 381 ref 4126 ref cons nil cons 4536 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 4142 remove cons 4536 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 4138 ref 857 ref appTerm appTerm 4125 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 4139 remove appTerm 4125 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4138 remove nil cons cons 4536 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 4133 remove cons 4536 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 346 ref 4126 remove cons 2269 ref cons nil cons cons 403 ref subst nil 83 ref 4104 ref 23 ref 4147 ref appTerm 2267 ref appTerm 4537 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 4104 remove nil 77 ref 4537 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4147 ref nil cons 4538 def cons 2269 ref cons nil cons cons 4539 def 362 ref subst 4539 remove 412 ref subst 4148 remove 4147 remove assume eqMp nil 346 ref 4123 remove nil cons 4540 def cons 2269 ref cons nil cons cons 4541 def 403 ref subst proveHyp 4541 ref 362 ref subst 4541 remove 412 ref subst nil 379 ref 4156 remove cons 381 ref 4122 remove nil cons cons nil cons cons nil cons cons 4542 def 395 ref subst 4542 remove 428 ref subst nil 379 ref 4150 ref cons 381 ref 4144 remove cons nil cons cons nil cons cons 4543 def 395 ref subst 4543 remove 428 ref subst 1486 ref 23 ref 24 ref 19 ref 1158 ref 1875 ref 56 ref 26 ref 4030 ref appTerm 4544 def 1693 ref appTerm appTerm 1877 ref appTerm 4545 def appTerm absTerm appTerm appTerm 24 ref 122 ref 130 ref 1886 ref 4111 ref 134 ref appTerm appTerm appTerm 1427 ref appTerm appTerm 1898 ref 4106 ref appTerm 4546 def appTerm 4547 def appTerm "Hardware.eventCounter" const 0 ref 1 ref 0 ref 8 ref 228 remove cons opType nil cons cons opType constTerm 4548 def 4030 ref appTerm 4549 def 4105 ref appTerm 4550 def "Hardware.power" const 1 ref constTerm 4551 def appTerm 4552 def 4051 ref appTerm 4553 def appTerm 4554 def appTerm appTerm 56 ref 26 ref 4051 ref appTerm 4555 def 1692 ref 1487 ref appTerm 4556 def appTerm appTerm 1612 ref 1427 ref appTerm 4557 def "Set.size" const 4558 def 0 ref "Set.set" typeOp 4559 def 91 ref opType 4560 def 91 ref cons opType constTerm 4561 def "Set.fromPredicate" const 4562 def 0 ref 17 remove 4560 ref nil cons 4563 def cons opType constTerm 4564 def "v" 16 ref var 4565 def 99 ref 1158 ref 24 ref 122 ref 4565 ref varTerm appTerm 4566 def 1161 ref appTerm 4567 def appTerm 4568 def 24 ref 3387 ref 1161 ref appTerm 4569 def appTerm 4570 def 24 ref 1612 ref 2502 ref 4106 ref appTerm appTerm 4571 def 1487 ref appTerm appTerm 4572 def 26 ref 4551 ref appTerm 4573 def 1693 ref appTerm 4574 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm appTerm absTerm 4575 def 2168 ref appTerm 4576 def betaConv 20 ref 19 ref 1486 ref 23 ref 24 ref 19 ref 1158 ref 1875 remove 56 ref 4544 ref 1170 ref appTerm appTerm 1877 ref appTerm appTerm absTerm appTerm appTerm 4577 def 24 ref 122 ref 130 ref 1886 ref 4111 remove 29 ref appTerm appTerm appTerm 1427 ref appTerm appTerm 4546 remove appTerm appTerm 4578 def 4553 ref appTerm appTerm appTerm 56 ref 4555 ref 1905 ref appTerm appTerm 4557 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 4572 ref 4573 ref 1170 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 4579 def appTerm appTerm absTerm appTerm absTerm 4580 def 134 ref appTerm 4581 def betaConv 15 ref 19 ref 20 ref 19 ref 1486 ref 23 ref 4577 ref 4578 ref 4552 remove 36 ref appTerm appTerm appTerm appTerm 1907 ref 4579 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 4582 def 4051 ref appTerm 4583 def betaConv "inc" 1 ref var 4584 def 14 ref 15 ref 19 ref 20 ref 19 ref 1486 ref 23 ref 4577 ref 4578 remove 4550 remove 4584 ref varTerm 4585 def appTerm 36 ref appTerm appTerm appTerm appTerm 1907 ref 4557 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 4572 remove 26 ref 4585 ref appTerm 4586 def 1170 remove appTerm 4587 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 4588 def 4551 ref appTerm 4589 def betaConv 12 ref 14 ref 4584 ref 14 ref 15 ref 19 ref 20 ref 19 ref 1486 ref 23 ref 4577 remove 24 ref 2167 ref appTerm 4590 def 4549 remove 34 ref appTerm 4585 ref appTerm 36 ref appTerm appTerm appTerm appTerm 1907 ref 4557 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1612 ref 2502 ref 124 ref appTerm appTerm 4591 def 1487 ref appTerm 4592 def appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm 4593 def appTerm appTerm 4594 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 4595 def 4105 ref appTerm 4596 def betaConv 6 ref 11 ref 12 ref 14 ref 4584 ref 14 ref 15 ref 19 ref 20 ref 19 ref 1486 ref 23 ref 1882 ref 4590 remove 4548 remove 27 ref appTerm 34 ref appTerm 4585 ref appTerm 36 ref appTerm 4597 def appTerm appTerm appTerm 4594 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 4598 def 4030 ref appTerm 4599 def betaConv 1442 ref 14 ref 6 ref 11 ref 12 ref 14 ref 4584 ref 14 ref 15 ref 19 ref 20 ref 19 ref 1486 ref 23 ref 1882 ref 24 ref 122 ref 2017 remove appTerm 1899 remove appTerm 4600 def appTerm 4597 ref appTerm 4601 def appTerm 4602 def appTerm 1907 ref 1985 ref 4593 remove appTerm 4603 def appTerm 4604 def appTerm 4605 def absTerm 4606 def appTerm 4607 def absTerm 4608 def appTerm 4609 def absTerm 4610 def appTerm 4611 def absTerm 4612 def appTerm 4613 def absTerm 4614 def appTerm 4615 def absTerm 4616 def appTerm 4617 def absTerm 4618 def 1427 ref appTerm 4619 def betaConv nil 90 ref 4618 ref nil cons cons 4620 def nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 4617 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4616 remove nil cons cons nil cons nil cons cons 76 ref subst 6 ref nil 77 ref 4615 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4614 remove nil cons cons nil cons nil cons cons 87 ref subst 12 ref nil 77 ref 4613 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4612 remove nil cons cons nil cons nil cons cons 76 ref subst 4584 ref nil 77 ref 4611 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4610 remove nil cons cons nil cons nil cons cons 76 ref subst 15 ref nil 77 ref 4609 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 4608 remove nil cons cons nil cons nil cons cons 95 ref subst 20 ref nil 77 ref 4607 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 4606 remove nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 4605 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4602 remove nil cons 4621 def cons 347 ref 4604 ref nil cons 4622 def cons nil cons 4623 def cons nil cons cons 4624 def 362 ref subst 4624 remove 412 ref subst nil 1963 ref 381 ref 4601 remove nil cons cons nil cons cons nil cons cons 4625 def 395 ref subst 4625 remove 428 ref subst nil 379 ref 4600 ref nil cons 4626 def cons 4627 def 381 ref 4597 ref nil cons 4628 def cons nil cons cons nil cons cons 4629 def 395 ref subst 4629 remove 428 ref subst nil 346 ref 4628 remove cons 4623 ref cons nil cons cons 403 ref subst 96 ref 15 ref 56 ref 4597 remove appTerm 99 ref 100 ref 101 ref 102 ref 101 ref 103 ref 101 ref 104 ref 101 ref 105 ref 101 ref 106 ref 101 ref 107 ref 108 ref 109 ref 108 ref 110 ref 108 ref 111 ref 108 ref "sp0" 1 ref var 4630 def 101 ref "sp1" 8 ref var 4631 def 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref "sq0" 1 ref var 4632 def 101 ref "sq1" 8 ref var 4633 def 108 ref 117 ref 101 ref 118 ref 138 remove 24 ref 141 ref 136 ref appTerm 4634 def appTerm 4635 def 147 ref 24 ref 150 ref 136 ref appTerm 4636 def appTerm 4637 def 156 ref 24 ref 159 ref 136 ref appTerm 4638 def appTerm 4639 def 165 ref 24 ref 167 ref 139 ref appTerm 4640 def 134 ref appTerm 4630 ref varTerm 4641 def appTerm 4642 def appTerm 4643 def 24 ref 174 ref 139 ref appTerm 4644 def 135 ref appTerm 4645 def 131 ref appTerm 4631 ref varTerm 4646 def appTerm 4647 def appTerm 4648 def 24 ref 167 ref 148 ref appTerm 4649 def 134 ref appTerm 4632 ref varTerm 4650 def appTerm 4651 def appTerm 4652 def 24 ref 174 ref 148 ref appTerm 4653 def 135 ref appTerm 4654 def 131 ref appTerm 4633 ref varTerm 4655 def appTerm 4656 def appTerm 4657 def 184 ref 190 ref 194 ref 198 ref 204 ref 24 ref "Hardware.xor2" const 229 ref constTerm 4658 def 4585 ref appTerm 4659 def 4641 ref appTerm 4660 def 4650 ref appTerm 4661 def appTerm 4662 def 24 ref "Hardware.and2" const 229 ref constTerm 4663 def 4585 ref appTerm 4664 def 4641 ref appTerm 4665 def 196 ref appTerm 4666 def appTerm 4667 def 24 ref 223 ref 4646 ref appTerm 4668 def 188 ref appTerm 4669 def 4655 ref appTerm 4670 def 202 ref appTerm 4671 def appTerm 4672 def 236 ref 24 ref 238 ref 34 ref appTerm 4673 def 148 ref appTerm 4674 def 157 ref appTerm 4675 def appTerm 4676 def 24 ref 238 ref 249 ref 136 ref appTerm 4677 def appTerm 4678 def 152 ref appTerm 4679 def 161 ref appTerm 4680 def appTerm 4681 def 276 remove appTerm 4682 def appTerm 4683 def appTerm 4684 def appTerm 4685 def appTerm 4686 def appTerm 4687 def appTerm 4688 def appTerm 4689 def appTerm 4690 def appTerm 4691 def appTerm 4692 def appTerm 4693 def appTerm 4694 def appTerm 4695 def appTerm 4696 def appTerm 4697 def appTerm 4698 def appTerm 4699 def appTerm 4700 def appTerm 4701 def appTerm 4702 def appTerm 4703 def absTerm 4704 def appTerm absTerm 4705 def appTerm absTerm 4706 def appTerm absTerm 4707 def appTerm absTerm 4708 def appTerm absTerm 4709 def appTerm absTerm 4710 def appTerm absTerm 4711 def appTerm absTerm 4712 def appTerm absTerm 4713 def appTerm absTerm 4714 def appTerm absTerm 4715 def appTerm absTerm 4716 def appTerm absTerm 4717 def appTerm absTerm 4718 def appTerm absTerm 4719 def appTerm absTerm 4720 def appTerm absTerm 4721 def appTerm absTerm 4722 def appTerm appTerm absTerm 4723 def 36 ref appTerm 4724 def betaConv 4584 ref 14 ref 4723 ref appTerm 4725 def absTerm 4726 def 4585 ref appTerm 4727 def betaConv 12 ref 14 ref 4726 ref appTerm 4728 def absTerm 4729 def 34 ref appTerm 4730 def betaConv 6 ref 11 ref 4729 ref appTerm 4731 def absTerm 4732 def 27 ref appTerm 4733 def betaConv nil 14 ref 4732 ref appTerm 4734 def axiom nil 346 ref 4734 remove nil cons cons 347 ref 4733 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 4732 remove nil cons cons 406 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4731 remove nil cons cons 347 ref 4730 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4729 remove nil cons cons 416 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4728 remove nil cons cons 347 ref 4727 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 4726 remove nil cons cons 404 ref 4585 ref nil cons cons nil cons 4735 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4725 remove nil cons cons 347 ref 4724 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 4723 remove nil cons cons 417 ref cons nil cons cons 414 ref subst eqMp eqMp 4736 def appThm 4604 ref refl 4737 def appThm 383 ref 96 ref 2071 ref 100 ref 4722 ref 131 ref appTerm betaConv 4738 def absThm appThm appThm 4737 ref appThm appThm 1432 ref 100 ref 96 ref 4738 remove appThm 4737 ref appThm absThm appThm appThm nil 1823 ref 4722 remove nil cons cons 4623 ref cons nil cons cons 94 ref 347 ref 56 ref 23 ref 3122 remove appTerm 350 ref appTerm 4739 def appTerm 884 ref appTerm 4740 def absTerm 4741 def 350 ref appTerm 4742 def betaConv 64 ref 785 ref 4741 ref appTerm 4743 def absTerm 4744 def 65 ref appTerm 4745 def betaConv 3208 remove 64 ref 3207 ref 347 ref 4740 remove assume sym 56 ref 884 remove appTerm 4739 remove appTerm 4746 def assume sym deductAntisym absThm appThm absThm appThm nil 2873 ref 64 ref 785 ref 347 ref 4746 remove absTerm appTerm absTerm appTerm axiom eqMp nil 346 ref 2873 ref 4744 ref appTerm nil cons cons 347 ref 4745 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2875 ref 2876 ref 4744 remove nil cons cons 2878 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4743 remove nil cons cons 347 ref 4742 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 4741 remove nil cons cons 3221 ref cons nil cons cons 414 ref subst eqMp eqMp 4747 def subst subst eqMp 1432 ref 100 ref 383 ref 96 ref 101 ref refl 4748 def 102 ref 4721 ref 139 ref appTerm betaConv 4749 def absThm appThm appThm 4737 ref appThm appThm 4261 ref 102 ref 96 ref 4749 remove appThm 4737 ref appThm absThm appThm appThm nil "p" 9 ref var 4750 def 4721 remove nil cons cons 4623 ref cons nil cons cons 86 ref 4747 ref subst 4751 def subst eqMp 4261 ref 102 ref 383 ref 96 ref 4748 ref 103 ref 4720 ref 143 ref appTerm betaConv 4752 def absThm appThm appThm 4737 ref appThm appThm 4261 ref 103 ref 96 ref 4752 remove appThm 4737 ref appThm absThm appThm appThm nil 4750 ref 4720 remove nil cons cons 4623 ref cons nil cons cons 4751 ref subst eqMp 4261 ref 103 ref 383 ref 96 ref 4748 ref 104 ref 4719 ref 148 ref appTerm betaConv 4753 def absThm appThm appThm 4737 ref appThm appThm 4261 ref 104 ref 96 ref 4753 remove appThm 4737 ref appThm absThm appThm appThm nil 4750 ref 4719 remove nil cons cons 4623 ref cons nil cons cons 4751 ref subst eqMp 4261 ref 104 ref 383 ref 96 ref 4748 ref 105 ref 4718 ref 152 ref appTerm betaConv 4754 def absThm appThm appThm 4737 ref appThm appThm 4261 ref 105 ref 96 ref 4754 remove appThm 4737 ref appThm absThm appThm appThm nil 4750 ref 4718 remove nil cons cons 4623 ref cons nil cons cons 4751 ref subst eqMp 4261 ref 105 ref 383 ref 96 ref 4748 ref 106 ref 4717 ref 157 ref appTerm betaConv 4755 def absThm appThm appThm 4737 ref appThm appThm 4261 ref 106 ref 96 ref 4755 remove appThm 4737 ref appThm absThm appThm appThm nil 4750 ref 4717 remove nil cons cons 4623 ref cons nil cons cons 4751 ref subst eqMp 4261 ref 106 ref 383 ref 96 ref 4748 ref 107 ref 4716 ref 161 ref appTerm betaConv 4756 def absThm appThm appThm 4737 ref appThm appThm 4261 ref 107 ref 96 ref 4756 remove appThm 4737 ref appThm absThm appThm appThm nil 4750 ref 4716 remove nil cons cons 4623 ref cons nil cons cons 4751 ref subst eqMp 4261 ref 107 ref 383 ref 96 ref 3913 ref 109 ref 4715 ref 231 ref appTerm betaConv 4757 def absThm appThm appThm 4737 ref appThm appThm 4128 ref 109 ref 96 ref 4757 remove appThm 4737 ref appThm absThm appThm appThm nil "p" 4 remove var 4758 def 4715 remove nil cons cons 4623 ref cons nil cons cons 54 ref 4747 remove subst 4759 def subst eqMp 4128 ref 109 ref 383 ref 96 ref 3913 ref 110 ref 4714 ref 234 ref appTerm betaConv 4760 def absThm appThm appThm 4737 ref appThm appThm 4128 ref 110 ref 96 ref 4760 remove appThm 4737 ref appThm absThm appThm appThm nil 4758 ref 4714 remove nil cons cons 4623 ref cons nil cons cons 4759 ref subst eqMp 4128 ref 110 ref 383 ref 96 ref 3913 ref 111 ref 4713 ref 258 ref appTerm betaConv 4761 def absThm appThm appThm 4737 ref appThm appThm 4128 ref 111 ref 96 ref 4761 remove appThm 4737 ref appThm absThm appThm appThm nil 4758 ref 4713 remove nil cons cons 4623 ref cons nil cons cons 4759 ref subst eqMp 4128 ref 111 ref 383 ref 96 ref 3913 ref 4630 ref 4712 ref 4641 ref appTerm betaConv 4762 def absThm appThm appThm 4737 ref appThm appThm 4128 ref 4630 ref 96 ref 4762 remove appThm 4737 ref appThm absThm appThm appThm nil 4758 ref 4712 remove nil cons cons 4623 ref cons nil cons cons 4759 ref subst eqMp 4128 ref 4630 ref 383 ref 96 ref 4748 ref 4631 ref 4711 ref 4646 ref appTerm betaConv 4763 def absThm appThm appThm 4737 ref appThm appThm 4261 ref 4631 ref 96 ref 4763 remove appThm 4737 ref appThm absThm appThm appThm nil 4750 ref 4711 remove nil cons cons 4623 ref cons nil cons cons 4751 ref subst eqMp 4261 ref 4631 ref 383 ref 96 ref 3913 ref 114 ref 4710 ref 182 ref appTerm betaConv 4764 def absThm appThm appThm 4737 ref appThm appThm 4128 ref 114 ref 96 ref 4764 remove appThm 4737 ref appThm absThm appThm appThm nil 4758 ref 4710 remove nil cons cons 4623 ref cons nil cons cons 4759 ref subst eqMp 4128 ref 114 ref 383 ref 96 ref 4748 ref 115 ref 4709 ref 188 ref appTerm betaConv 4765 def absThm appThm appThm 4737 ref appThm appThm 4261 ref 115 ref 96 ref 4765 remove appThm 4737 ref appThm absThm appThm appThm nil 4750 ref 4709 remove nil cons cons 4623 ref cons nil cons cons 4751 ref subst eqMp 4261 ref 115 ref 383 ref 96 ref 3913 ref 116 ref 4708 ref 192 ref appTerm betaConv 4766 def absThm appThm appThm 4737 ref appThm appThm 4128 ref 116 ref 96 ref 4766 remove appThm 4737 ref appThm absThm appThm appThm nil 4758 ref 4708 remove nil cons cons 4623 ref cons nil cons cons 4759 ref subst eqMp 4128 ref 116 ref 383 ref 96 ref 3913 ref 4632 ref 4707 ref 4650 ref appTerm betaConv 4767 def absThm appThm appThm 4737 ref appThm appThm 4128 ref 4632 ref 96 ref 4767 remove appThm 4737 ref appThm absThm appThm appThm nil 4758 ref 4707 remove nil cons cons 4623 ref cons nil cons cons 4759 ref subst eqMp 4128 ref 4632 ref 383 ref 96 ref 4748 ref 4633 ref 4706 ref 4655 ref appTerm betaConv 4768 def absThm appThm appThm 4737 ref appThm appThm 4261 ref 4633 ref 96 ref 4768 remove appThm 4737 ref appThm absThm appThm appThm nil 4750 ref 4706 remove nil cons cons 4623 ref cons nil cons cons 4751 ref subst eqMp 4261 ref 4633 ref 383 ref 96 ref 3913 ref 117 ref 4705 ref 196 ref appTerm betaConv 4769 def absThm appThm appThm 4737 ref appThm appThm 4128 ref 117 ref 96 ref 4769 remove appThm 4737 ref appThm absThm appThm appThm nil 4758 remove 4705 remove nil cons cons 4623 ref cons nil cons cons 4759 remove subst eqMp 4128 ref 117 ref 383 ref 96 ref 4748 ref 118 ref 4704 ref 202 ref appTerm betaConv 4770 def absThm appThm appThm 4737 ref appThm appThm 4261 ref 118 ref 96 ref 4770 remove appThm 4737 ref appThm absThm appThm appThm nil 4750 remove 4704 remove nil cons cons 4623 ref cons nil cons cons 4751 remove subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans trans sym nil 90 ref 100 ref 11 ref 102 ref 11 ref 103 ref 11 ref 104 ref 11 ref 105 ref 11 ref 106 ref 11 ref 107 ref 14 ref 109 ref 14 ref 110 ref 14 ref 111 ref 14 ref 4630 ref 11 ref 4631 ref 14 ref 114 ref 11 ref 115 ref 14 ref 116 ref 14 ref 4632 ref 11 ref 4633 ref 14 ref 117 ref 11 ref 118 ref 23 ref 4703 ref appTerm 4604 remove appTerm 4771 def absTerm 4772 def appTerm 4773 def absTerm 4774 def appTerm 4775 def absTerm 4776 def appTerm 4777 def absTerm 4778 def appTerm 4779 def absTerm 4780 def appTerm 4781 def absTerm 4782 def appTerm 4783 def absTerm 4784 def appTerm 4785 def absTerm 4786 def appTerm 4787 def absTerm 4788 def appTerm 4789 def absTerm 4790 def appTerm 4791 def absTerm 4792 def appTerm 4793 def absTerm 4794 def appTerm 4795 def absTerm 4796 def appTerm 4797 def absTerm 4798 def appTerm 4799 def absTerm 4800 def appTerm 4801 def absTerm 4802 def appTerm 4803 def absTerm 4804 def appTerm 4805 def absTerm 4806 def appTerm 4807 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 100 ref nil 77 ref 4807 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4806 remove nil cons cons nil cons nil cons cons 87 ref subst 102 ref nil 77 ref 4805 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4804 remove nil cons cons nil cons nil cons cons 87 ref subst 103 ref nil 77 ref 4803 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4802 remove nil cons cons nil cons nil cons cons 87 ref subst 104 ref nil 77 ref 4801 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4800 remove nil cons cons nil cons nil cons cons 87 ref subst 105 ref nil 77 ref 4799 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4798 remove nil cons cons nil cons nil cons cons 87 ref subst 106 ref nil 77 ref 4797 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4796 remove nil cons cons nil cons nil cons cons 87 ref subst 107 ref nil 77 ref 4795 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4794 remove nil cons cons nil cons nil cons cons 76 ref subst 109 ref nil 77 ref 4793 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4792 remove nil cons cons nil cons nil cons cons 76 ref subst 110 ref nil 77 ref 4791 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4790 remove nil cons cons nil cons nil cons cons 76 ref subst 111 ref nil 77 ref 4789 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4788 remove nil cons cons nil cons nil cons cons 76 ref subst 4630 ref nil 77 ref 4787 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4786 remove nil cons cons nil cons nil cons cons 87 ref subst 4631 ref nil 77 ref 4785 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4784 remove nil cons cons nil cons nil cons cons 76 ref subst 114 ref nil 77 ref 4783 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4782 remove nil cons cons nil cons nil cons cons 87 ref subst 115 ref nil 77 ref 4781 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4780 remove nil cons cons nil cons nil cons cons 76 ref subst 116 ref nil 77 ref 4779 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4778 remove nil cons cons nil cons nil cons cons 76 ref subst 4632 ref nil 77 ref 4777 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4776 remove nil cons cons nil cons nil cons cons 87 ref subst 4633 ref nil 77 ref 4775 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4774 remove nil cons cons nil cons nil cons cons 76 ref subst 117 ref nil 77 ref 4773 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 ref 4772 remove nil cons cons nil cons nil cons cons 87 ref subst 118 ref nil 77 ref 4771 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4703 remove nil cons 4808 def cons 4623 ref cons nil cons cons 4809 def 362 ref subst 4809 remove 412 ref subst nil 583 remove 381 ref 4702 remove nil cons cons nil cons cons nil cons cons 4810 def 395 ref subst 4810 remove 428 ref subst nil 379 ref 4634 ref nil cons cons 381 ref 4701 remove nil cons cons nil cons cons nil cons cons 4811 def 395 ref subst 4811 remove 428 ref subst nil 588 remove 381 ref 4700 remove nil cons cons nil cons cons nil cons cons 4812 def 395 ref subst 4812 remove 428 ref subst nil 379 ref 4636 ref nil cons cons 381 ref 4699 remove nil cons cons nil cons cons nil cons cons 4813 def 395 ref subst 4813 remove 428 ref subst nil 593 remove 381 ref 4698 remove nil cons cons nil cons cons nil cons cons 4814 def 395 ref subst 4814 remove 428 ref subst nil 379 ref 4638 ref nil cons cons 381 ref 4697 remove nil cons cons nil cons cons nil cons cons 4815 def 395 ref subst 4815 remove 428 ref subst nil 598 remove 381 ref 4696 remove nil cons cons nil cons cons nil cons cons 4816 def 395 ref subst 4816 remove 428 ref subst nil 379 ref 4642 ref nil cons 4817 def cons 4818 def 381 ref 4695 remove nil cons cons nil cons cons nil cons cons 4819 def 395 ref subst 4819 remove 428 ref subst nil 379 ref 4647 ref nil cons 4820 def cons 381 ref 4694 remove nil cons cons nil cons cons nil cons cons 4821 def 395 ref subst 4821 remove 428 ref subst nil 379 ref 4651 ref nil cons 4822 def cons 4823 def 381 ref 4693 remove nil cons cons nil cons cons nil cons cons 4824 def 395 ref subst 4824 remove 428 ref subst nil 379 ref 4656 ref nil cons 4825 def cons 381 ref 4692 remove nil cons cons nil cons cons nil cons cons 4826 def 395 ref subst 4826 remove 428 ref subst nil 608 ref 381 ref 4691 remove nil cons cons nil cons cons nil cons cons 4827 def 395 ref subst 4827 remove 428 ref subst nil 612 remove 381 ref 4690 remove nil cons cons nil cons cons nil cons cons 4828 def 395 ref subst 4828 remove 428 ref subst nil 616 remove 381 ref 4689 remove nil cons cons nil cons cons nil cons cons 4829 def 395 ref subst 4829 remove 428 ref subst nil 620 ref 381 ref 4688 remove nil cons cons nil cons cons nil cons cons 4830 def 395 ref subst 4830 remove 428 ref subst nil 623 remove 381 ref 4687 remove nil cons cons nil cons cons nil cons cons 4831 def 395 ref subst 4831 remove 428 ref subst nil 379 ref 4661 ref nil cons 4832 def cons 4833 def 381 ref 4686 remove nil cons cons nil cons cons nil cons cons 4834 def 395 ref subst 4834 remove 428 ref subst nil 379 ref 4666 ref nil cons 4835 def cons 4836 def 381 ref 4685 remove nil cons cons nil cons cons nil cons cons 4837 def 395 ref subst 4837 remove 428 ref subst nil 379 ref 4671 ref nil cons 4838 def cons 4839 def 381 ref 4684 remove nil cons cons nil cons cons nil cons cons 4840 def 395 ref subst 4840 remove 428 ref subst nil 640 ref 381 ref 4683 remove nil cons cons nil cons cons nil cons cons 4841 def 395 ref subst 4841 remove 428 ref subst nil 379 ref 4675 ref nil cons 4842 def cons 4843 def 381 ref 4682 remove nil cons cons nil cons cons nil cons cons 4844 def 395 ref subst 4844 remove 428 ref subst nil 379 ref 4680 ref nil cons 4845 def cons 650 remove cons nil cons cons 4846 def 395 ref subst 4846 remove 428 ref subst 656 ref 657 ref 660 ref 659 remove 428 ref subst 4847 def nil 379 ref 265 ref nil cons 4848 def cons 4849 def 381 ref 273 ref nil cons cons nil cons cons nil cons cons 4850 def 395 ref subst 4851 def 4850 remove 428 ref subst 4852 def nil 379 ref 268 ref nil cons 4853 def cons 4854 def 381 ref 272 ref nil cons 4855 def cons nil cons cons nil cons cons 4856 def 395 ref subst 4857 def 4856 remove 428 ref subst 4858 def 675 ref 1905 ref appTerm 4859 def betaConv 697 ref nil 698 ref 347 ref 4859 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 699 ref 700 ref 1905 ref nil cons 4860 def cons nil cons 4861 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 671 ref 1907 ref 672 ref 1905 ref appTerm 4862 def appTerm 4863 def appTerm nil cons cons 4623 ref cons nil cons cons 403 ref subst proveHyp 96 ref 840 ref 4863 ref refl appThm nil 77 ref 4863 ref nil cons 4864 def cons nil cons nil cons cons 833 ref subst trans appThm 4737 remove appThm sym nil 346 ref 4864 ref cons 4623 remove cons nil cons cons 4865 def 362 ref subst 4865 remove 412 ref subst 56 ref "_33130" 2 ref var 4866 def 56 ref 4866 remove varTerm appTerm 4603 ref appTerm absTerm 4867 def 1906 ref appTerm 4868 def appTerm refl 4867 ref 4862 ref appTerm betaConv appThm 383 ref 4868 remove betaConv appThm 56 ref 4862 ref appTerm 4869 def 4603 ref appTerm 4870 def refl appThm trans 4867 remove refl 4863 remove assume appThm eqMp sym nil 346 ref 38 ref 2858 ref appTerm 4871 def nil cons 4872 def cons 4873 def 347 ref 4870 ref nil cons 4874 def cons nil cons 4875 def cons nil cons cons 4876 def 362 ref subst 4876 remove 412 ref subst nil "a" 127 ref var 2281 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 2285 remove appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 4877 def nil cons cons nil cons nil cons cons 2274 remove 4027 ref subst subst nil 346 ref 2185 remove 2253 ref 55 ref 0 ref 127 ref 2183 remove nil cons cons opType constTerm 4877 ref appTerm 2254 ref appTerm 4878 def absTerm 4879 def appTerm 4880 def nil cons cons 4875 ref cons nil cons cons 403 ref subst nil 2270 ref 2253 ref 23 ref 4879 ref 2254 ref appTerm 4881 def appTerm 4870 ref appTerm 4882 def absTerm nil cons cons nil cons nil cons cons 2275 remove subst 2253 ref nil 77 ref 4882 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4881 ref nil cons 4883 def cons 4875 ref cons nil cons cons 4884 def 362 ref subst 4884 remove 412 ref subst 4881 ref betaConv 4881 remove assume eqMp nil 346 ref 4878 ref nil cons 4885 def cons 4886 def 4875 ref cons nil cons cons 4887 def 403 ref subst proveHyp 4887 ref 362 ref subst 4887 remove 412 ref subst 56 ref "_33132" 127 ref var 4888 def 19 ref "j1" 16 ref var 4889 def 19 ref "j2" 16 ref var 4890 def 23 ref 1612 ref 4889 ref varTerm 4891 def appTerm 4890 ref varTerm 4892 def appTerm 4893 def appTerm 4894 def 1612 ref 4888 remove varTerm 4895 def 4891 ref appTerm appTerm 4895 remove 4892 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 4896 def 2254 ref appTerm 4897 def appTerm refl 4896 ref 4877 ref appTerm betaConv appThm 383 ref 4897 remove betaConv appThm 19 ref 4889 ref 19 ref 4890 ref 4894 ref 1612 ref 4877 ref 4891 ref appTerm 4898 def appTerm 4877 ref 4892 ref appTerm 4899 def appTerm appTerm absTerm appTerm absTerm appTerm refl appThm trans 4896 remove refl 4878 ref assume sym 4900 def appThm eqMp sym 1432 ref 4889 ref 1432 ref 4890 ref 4894 ref refl 2012 ref 4898 remove betaConv appThm 4899 remove betaConv appThm appThm absThm appThm absThm appThm sym nil 90 ref 4889 ref 19 ref 4890 ref 4894 ref 1612 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1622 ref 4891 ref appTerm 4901 def appTerm 4587 ref appTerm 4902 def appTerm 4903 def appTerm absTerm appTerm absTerm appTerm 4904 def appTerm appTerm 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1622 ref 4892 ref appTerm 4905 def appTerm 4906 def 4587 ref appTerm appTerm 4907 def appTerm absTerm appTerm absTerm appTerm 4908 def appTerm appTerm 4909 def appTerm 4910 def absTerm 4911 def appTerm 4912 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 4889 ref nil 77 ref 4912 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 4911 remove nil cons cons nil cons nil cons cons 95 ref subst 4890 ref nil 77 ref 4910 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4893 ref nil cons 4913 def cons 347 ref 4909 remove nil cons 4914 def cons nil cons 4915 def cons nil cons cons 4916 def 362 ref subst 4916 remove 412 ref subst nil "t" 4560 ref var 4917 def 4908 ref nil cons 4918 def cons "s" 4560 ref var 4919 def 4904 ref nil cons 4920 def cons nil cons cons nil cons cons 94 ref "t" 4559 ref 802 remove opType 4921 def var 4922 def 56 ref "Set.subset" const 4923 def 0 ref 4921 ref 0 ref 4921 ref 3 ref cons opType 4924 def nil cons 4925 def cons opType 4926 def constTerm 4927 def "s" 4921 ref var 4928 def varTerm 4929 def appTerm 4922 ref varTerm 4930 def appTerm 4931 def appTerm 60 ref 66 ref 23 ref "Set.member" const 4932 def 0 ref 57 ref 4925 remove cons opType constTerm 4933 def 408 ref appTerm 4934 def 4929 ref appTerm 4935 def appTerm 4934 ref 4930 ref appTerm 4936 def appTerm absTerm appTerm appTerm absTerm 4937 def 4930 ref appTerm 4938 def betaConv 4928 ref 7 ref 0 ref 4924 ref 3 ref cons opType 4939 def constTerm 4940 def 4937 ref appTerm 4941 def absTerm 4942 def 4929 ref appTerm 4943 def betaConv nil 4940 ref 4942 ref appTerm 4944 def axiom nil 346 ref 4944 remove nil cons cons 347 ref 4943 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 4921 ref nil cons 4945 def cons nil cons 4946 def "P" 4924 ref var 4947 def 4942 remove nil cons cons "x" 4921 ref var 4948 def 4929 ref nil cons cons nil cons 4949 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4941 remove nil cons cons 347 ref 4938 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 4937 remove nil cons cons 4948 ref 4930 ref nil cons cons nil cons 4950 def cons nil cons cons 414 ref subst eqMp eqMp subst 4951 def subst 1432 ref 700 ref 96 ref 383 ref 4932 ref 0 ref 16 ref 0 ref 4560 ref 3 ref cons opType 4952 def nil cons 4953 def cons opType constTerm 4954 def 963 ref appTerm 4955 def refl 4956 def 4564 ref refl 4957 def 4565 ref 2071 ref 1158 ref 4568 ref refl 4958 def 1158 ref 4903 ref absTerm 4959 def 1161 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 4959 ref 963 ref appTerm betaConv appThm nil 1823 ref 4959 remove nil cons cons nil cons nil cons cons 94 ref 66 ref 56 ref 4934 ref 4562 remove 0 ref 58 ref 4945 ref cons opType constTerm 4960 def "v" 57 ref var 4961 def 866 ref 2242 ref 24 ref 801 remove 4961 ref varTerm appTerm 4962 def 2243 ref appTerm appTerm 2250 ref appTerm absTerm appTerm absTerm appTerm appTerm appTerm 883 ref appTerm absTerm 4963 def 408 ref appTerm 4964 def betaConv 64 ref 60 ref 4963 ref appTerm 4965 def absTerm 4966 def 65 ref appTerm 4967 def betaConv nil 2873 ref 4966 ref appTerm 4968 def axiom nil 346 ref 4968 remove nil cons cons 347 ref 4967 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2875 ref 2876 ref 4966 remove nil cons cons 2878 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 4965 remove nil cons cons 347 ref 4964 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 4963 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp subst 4969 def subst eqMp appThm 383 ref 4956 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 1158 ref 4907 ref absTerm 4970 def 1161 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 4970 ref 963 ref appTerm betaConv appThm nil 1823 ref 4970 remove nil cons cons nil cons nil cons cons 4969 ref subst eqMp 4971 def appThm absThm appThm trans sym nil 90 ref 1158 ref 23 ref 4903 ref appTerm 4907 ref appTerm 4972 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 4972 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 4903 remove nil cons 4973 def cons 347 ref 4907 remove nil cons 4974 def cons nil cons cons nil cons cons 4975 def 362 ref subst 4975 remove 412 ref subst nil 379 ref 4569 ref nil cons 4976 def cons 4977 def 381 ref 4902 remove nil cons cons nil cons cons nil cons cons 4978 def 395 ref subst 4978 remove 428 ref subst nil 379 ref 4901 ref nil cons 4979 def cons 381 ref 4587 ref nil cons 4980 def cons nil cons 4981 def cons nil cons cons 4982 def 395 ref subst 4982 remove 428 ref subst 1017 ref nil 77 ref 4976 ref cons nil cons nil cons cons 4983 def 82 ref subst 4569 remove assume eqMp appThm 4906 remove refl nil 77 ref 4980 ref cons nil cons nil cons cons 4984 def 82 ref subst 4587 ref assume eqMp appThm nil 77 ref 4905 ref nil cons 4985 def cons nil cons nil cons cons 4986 def 1690 ref subst trans appThm 4986 remove 1026 ref subst trans sym 1442 ref 24 ref 1622 ref 1447 ref appTerm appTerm 4987 def 1985 ref 4892 ref appTerm appTerm absTerm 4988 def 4891 ref appTerm betaConv sym 1017 ref nil 77 ref 4979 remove cons nil cons nil cons cons 82 ref subst 4901 remove assume eqMp appThm nil 77 ref 4913 ref cons nil cons nil cons cons 82 ref subst 4893 remove assume eqMp appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 4988 ref nil cons cons 700 ref 4891 ref nil cons cons nil cons 4989 def cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 4988 remove appTerm nil cons cons 347 ref 4985 remove cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 ref 4892 ref nil cons 4990 def cons 1445 ref cons nil cons cons 3755 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 4973 remove cons 381 ref 4974 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 346 ref 4923 remove 0 ref 4560 ref 4953 remove cons opType 4991 def constTerm 4992 def 4904 remove appTerm 4908 ref appTerm 4993 def nil cons cons 347 ref "Set.finite" const 4994 def 4952 ref constTerm 4995 def 4908 ref appTerm 4996 def nil cons cons nil cons 4997 def cons nil cons cons 412 ref subst proveHyp 4917 ref 24 ref 4995 ref 4917 ref varTerm 4998 def appTerm appTerm 4999 def 4992 ref 4908 remove appTerm 4998 ref appTerm appTerm absTerm 5000 def 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4905 ref appTerm absTerm appTerm absTerm appTerm 5001 def appTerm betaConv sym 1017 ref nil 1442 ref 4990 ref cons nil cons nil cons cons nil 77 ref 4995 ref 4564 ref 4565 ref 99 ref 1308 ref 24 ref 4566 ref 1310 ref appTerm appTerm 1614 ref appTerm absTerm appTerm absTerm appTerm 5002 def appTerm 5003 def nil cons cons nil cons nil cons cons 82 ref subst 1442 ref 5003 remove absTerm 5004 def 1447 ref appTerm 5005 def betaConv nil 19 ref 5004 ref appTerm 5006 def axiom nil 346 ref 5006 remove nil cons cons 347 ref 5005 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5004 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp 5007 def subst appThm nil 4917 ref 5001 remove nil cons 5008 def cons 4919 ref 4918 ref cons nil cons 5009 def cons nil cons cons 4951 ref subst 1432 ref 700 ref 96 ref 4971 remove appThm 383 ref 4956 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 1158 ref 4905 remove absTerm 5010 def 1161 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 5010 ref 963 ref appTerm betaConv appThm nil 1823 ref 5010 remove nil cons cons nil cons nil cons cons 4969 ref subst eqMp appThm absThm appThm trans appThm nil 77 ref 19 ref 700 ref 23 ref 24 ref 3387 ref 963 ref appTerm 5011 def appTerm 5012 def 24 ref 1612 ref 963 ref appTerm 5013 def 4892 ref appTerm 5014 def appTerm 4586 ref 1062 ref 963 ref appTerm appTerm 5015 def appTerm 5016 def appTerm 5017 def appTerm 5014 ref appTerm 5018 def absTerm 5019 def appTerm nil cons cons nil cons nil cons cons 1026 ref subst trans sym nil 90 ref 5019 remove nil cons cons nil cons nil cons cons 95 ref subst 700 ref nil 77 ref 5018 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 5017 remove nil cons 5020 def cons 347 ref 5014 remove nil cons 5021 def cons nil cons cons nil cons cons 5022 def 362 ref subst 5022 remove 412 ref subst nil 379 ref 5011 remove nil cons cons 5023 def 381 ref 5016 remove nil cons cons nil cons cons nil cons cons 428 ref subst nil 379 ref 5021 ref cons 381 ref 5015 ref nil cons cons nil cons 5024 def cons nil cons cons 395 ref subst proveHyp eqMp nil 379 ref 5020 remove cons 381 ref 5021 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp "A" 4563 ref cons nil cons 5025 def "P" 4952 ref var 5026 def 5000 ref nil cons cons "x" 4560 ref var 5027 def 5008 remove cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 98 ref 0 ref 4952 ref 3 ref cons opType constTerm 5028 def 5000 remove appTerm nil cons cons 4997 remove cons nil cons cons 403 ref subst proveHyp nil 5009 remove nil cons cons 94 ref 4928 ref 23 ref 98 remove 4939 remove constTerm 4922 ref 24 ref 4994 remove 4924 remove constTerm 5029 def 4930 ref appTerm appTerm 5030 def 4931 remove appTerm 5031 def absTerm 5032 def appTerm 5033 def appTerm 5034 def 5029 ref 4929 ref appTerm 5035 def appTerm 5036 def absTerm 5037 def 4929 ref appTerm 5038 def betaConv nil 4940 ref 4928 ref 4940 ref 4922 ref 23 ref 5031 ref appTerm 5035 ref appTerm absTerm 5039 def appTerm 5040 def absTerm 5041 def appTerm 5042 def axiom nil 346 ref 5042 ref nil cons 5043 def cons 5044 def 347 ref 4940 ref 5037 ref appTerm nil cons 5045 def cons nil cons cons nil cons cons 5046 def 403 ref subst proveHyp 5046 ref 362 ref subst 5046 remove 412 ref subst nil 4947 ref 5037 remove nil cons cons 5047 def nil cons nil cons cons 4946 ref 53 ref cons 75 ref subst 5048 def subst 4928 ref nil 77 ref 5036 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 5033 remove nil cons 5049 def cons 5050 def 347 ref 5035 ref nil cons 5051 def cons nil cons 5052 def cons nil cons cons 5053 def 362 ref subst 5053 remove 412 ref subst nil 5044 ref 5052 ref cons nil cons cons 5054 def 403 ref subst nil 5050 remove 347 ref 23 ref 5042 remove appTerm 5035 ref appTerm 5055 def nil cons 5056 def cons nil cons 5057 def cons nil cons cons 403 ref subst nil 4947 ref 4922 ref 23 ref 5032 ref 4930 ref appTerm 5058 def appTerm 5055 ref appTerm 5059 def absTerm nil cons cons nil cons nil cons cons 5048 remove subst 4922 ref nil 77 ref 5059 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 5058 ref nil cons 5060 def cons 5057 ref cons nil cons cons 5061 def 362 ref subst 5061 remove 412 ref subst 5058 ref betaConv 5058 remove assume eqMp nil 346 ref 5031 remove nil cons 5062 def cons 5063 def 5057 remove cons nil cons cons 5064 def 403 ref subst proveHyp 5064 ref 362 ref subst 5064 remove 412 ref subst 5054 ref 362 ref subst 5054 remove 412 ref subst nil 5063 remove 5052 remove cons nil cons cons 403 ref subst 5039 ref 4930 ref appTerm 5065 def betaConv 5041 ref 4929 ref appTerm 5066 def betaConv nil 5044 remove 347 ref 5066 remove nil cons cons nil cons cons nil cons cons 403 ref subst 4946 ref 4947 ref 5041 remove nil cons cons 4949 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5040 remove nil cons cons 347 ref 5065 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5039 remove nil cons cons 4950 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 5043 remove cons 5067 def 381 ref 5051 remove cons nil cons 5068 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 5062 remove cons 381 ref 5056 remove cons nil cons 5069 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 5060 remove cons 5069 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 4940 ref 4948 ref 23 ref 5032 ref 4948 ref varTerm appTerm appTerm 5055 ref appTerm absTerm appTerm nil cons cons 347 ref 5034 remove 5055 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5032 remove nil cons cons 5069 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 5049 remove cons 5068 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 5067 remove 381 ref 5045 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 5045 remove cons 347 ref 5038 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 5047 remove 4949 ref cons nil cons cons 414 ref subst eqMp eqMp subst 5070 def subst eqMp eqMp nil 346 ref 24 ref 4993 remove appTerm 4996 remove appTerm nil cons cons 4915 remove cons nil cons cons 403 ref subst proveHyp nil "b" 4560 ref var 4918 remove cons "a" 4560 ref var 4920 remove cons nil cons cons nil cons cons 94 ref "b" 4921 ref var 5071 def 23 ref 24 ref 4927 remove "a" 4921 ref var 5072 def varTerm 5073 def appTerm 5071 remove varTerm 5074 def appTerm appTerm 5029 ref 5074 ref appTerm appTerm appTerm 1612 ref 4558 ref 0 ref 4921 ref 91 ref cons opType constTerm 5075 def 5073 ref appTerm appTerm 5075 ref 5074 ref appTerm appTerm appTerm absTerm 5076 def 5074 ref appTerm 5077 def betaConv 5072 remove 4940 ref 5076 ref appTerm 5078 def absTerm 5079 def 5073 ref appTerm 5080 def betaConv nil 4940 ref 5079 ref appTerm 5081 def axiom nil 346 ref 5081 remove nil cons cons 347 ref 5080 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5079 remove nil cons cons 4948 ref 5073 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5078 remove nil cons cons 347 ref 5077 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5076 remove nil cons cons 4948 remove 5074 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp subst subst eqMp eqMp nil 379 ref 4913 remove cons 381 ref 4914 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 56 ref "_33136" 127 ref var 5082 def 56 ref 4603 ref appTerm 5083 def 24 ref 2085 ref 1487 ref appTerm 5084 def appTerm 5085 def 1985 ref 5082 remove varTerm 4043 ref 124 ref appTerm 5086 def appTerm appTerm appTerm appTerm absTerm 5087 def 2254 ref appTerm 5088 def appTerm refl 5087 ref 4877 ref appTerm betaConv appThm 383 ref 5088 remove betaConv appThm 5083 ref 5085 ref 1985 ref 4877 ref 5086 ref appTerm 5089 def appTerm appTerm appTerm refl appThm trans 5087 remove refl 4900 ref appThm eqMp sym 5083 ref refl 5085 ref refl 1985 ref refl 5090 def 5089 remove betaConv appThm appThm appThm sym nil 346 ref 38 ref 5084 ref appTerm 5091 def nil cons 5092 def cons 5093 def 347 ref 5083 ref 5085 ref 1985 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1622 ref 5086 ref appTerm appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm appTerm 5094 def nil cons 5095 def cons nil cons 5096 def cons nil cons cons 5097 def 362 ref subst 5097 remove 412 ref subst 383 ref 5090 ref 4561 ref refl 5098 def 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 4570 ref refl 5099 def 1017 ref 2012 ref 2502 ref refl 5100 def 137 remove assume 5101 def appThm appThm 1487 ref refl 5102 def appThm appThm 4587 ref refl 5103 def appThm appThm appThm absThm appThm absThm appThm appThm 5104 def appThm appThm 1017 ref nil 5093 remove 347 ref 56 ref 5084 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 379 ref 5084 ref nil cons 5105 def cons 5106 def nil cons nil cons cons 791 ref subst eqMp appThm 5090 ref 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 5099 ref 1017 ref 4009 ref 4043 ref refl 5101 ref appThm 5107 def appThm appThm 5103 ref appThm appThm appThm absThm appThm absThm appThm appThm appThm appThm nil 77 ref 1985 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1622 ref 4043 remove 136 ref appTerm 5108 def appTerm appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm nil cons cons nil cons nil cons cons 3159 ref subst trans appThm nil 77 ref 1985 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1612 ref 2502 ref 136 ref appTerm appTerm 1487 ref appTerm appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm 5109 def appTerm 5110 def nil cons cons nil cons nil cons cons 826 ref subst trans sym nil 1971 ref 2074 ref cons nil cons cons 5111 def 2317 ref 1447 ref appTerm 5112 def betaConv 2319 ref 1310 ref appTerm 5113 def betaConv 2321 remove nil 346 ref 2320 remove nil cons cons 347 ref 5113 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2319 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2318 remove nil cons cons 347 ref 5112 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2317 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 5114 def subst nil 1983 ref 2164 ref cons nil cons cons 5115 def 2501 ref subst 5116 def trans 5091 remove assume eqMp nil 346 ref 99 ref 1055 ref 125 ref 1492 ref 2494 ref appTerm 5117 def appTerm 5118 def absTerm 5119 def appTerm 5120 def nil cons cons 5121 def 347 ref 38 ref 5110 remove appTerm 5122 def nil cons 5123 def cons nil cons 5124 def cons nil cons cons 403 ref subst proveHyp nil 90 ref 1055 ref 23 ref 5119 ref 1058 ref appTerm 5125 def appTerm 5126 def 5122 ref appTerm 5127 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 5127 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 5125 ref nil cons 5128 def cons 5129 def 5124 ref cons nil cons cons 5130 def 362 ref subst 5130 remove 412 ref subst 5125 ref betaConv 5125 remove assume eqMp 5131 def nil 346 ref 5118 ref nil cons 5132 def cons 5133 def 5124 ref cons nil cons cons 5134 def 403 ref subst proveHyp 5134 ref 362 ref subst 5134 remove 412 ref subst 125 ref refl nil 2540 ref 2164 ref cons 5135 def nil cons cons 1533 ref subst appThm 5118 remove assume 5136 def eqMp nil 346 ref 125 ref 130 ref 2494 ref appTerm 5137 def 1487 ref appTerm 5138 def appTerm nil cons cons 5124 ref cons nil cons cons 403 ref subst proveHyp 96 ref 1519 ref 5101 ref appThm 5138 ref refl appThm appThm 5122 ref refl appThm sym nil 346 ref 122 ref 136 ref appTerm 5138 ref appTerm 5139 def nil cons 5140 def cons 5124 remove cons nil cons cons 5141 def 362 ref subst 5141 remove 412 ref subst 56 ref "_33260" 16 ref var 5142 def 38 ref 1985 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1612 ref 2502 ref 5142 remove varTerm appTerm appTerm 1487 ref appTerm appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm absTerm 5143 def 136 ref appTerm 5144 def appTerm refl 5143 ref 5138 ref appTerm betaConv appThm 383 ref 5144 remove betaConv appThm 38 ref 1985 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1612 ref 2502 ref 5138 remove appTerm appTerm 1487 ref appTerm appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm refl appThm trans 5143 remove refl 5139 remove assume appThm eqMp sym 839 ref 5090 ref 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 5099 ref 1017 ref 2012 ref nil 1980 ref 1970 ref cons 5145 def 2541 remove cons nil cons cons 2148 ref subst appThm 5102 ref appThm nil 2163 ref 1442 ref 2503 remove nil cons cons nil cons cons nil cons cons 1442 ref 56 ref 3512 remove 1310 ref appTerm appTerm 2858 ref appTerm absTerm 5146 def 1447 ref appTerm 5147 def betaConv 1308 ref 19 ref 5146 ref appTerm 5148 def absTerm 5149 def 1310 ref appTerm 5150 def betaConv nil 19 ref 5149 ref appTerm 5151 def axiom nil 346 ref 5151 remove nil cons cons 347 ref 5150 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5149 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5148 remove nil cons cons 347 ref 5147 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5146 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst trans appThm 5103 ref appThm appThm appThm absThm appThm absThm appThm appThm appThm appThm sym 839 ref 5090 ref 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 5099 ref 1017 ref 1519 ref 2538 remove appThm 2788 ref appThm nil 1442 ref 2542 remove nil cons cons nil cons nil cons cons 4004 ref subst trans appThm 5103 ref appThm 4984 remove 3159 ref subst 5152 def trans appThm 4983 remove 77 ref 56 ref 1686 remove 664 ref appTerm appTerm 664 ref appTerm absTerm 5153 def 78 ref appTerm 5154 def betaConv nil 785 ref 5153 ref appTerm 5155 def axiom nil 346 ref 5155 remove nil cons cons 347 ref 5154 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5153 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 5156 def subst 5157 def trans appThm nil 77 ref 4567 remove nil cons cons nil cons nil cons cons 5156 ref subst trans absThm appThm nil 77 ref 668 ref cons nil cons nil cons cons 5158 def 94 ref 77 ref 56 ref 866 ref 2337 remove appTerm appTerm 78 ref appTerm absTerm 5159 def 78 ref appTerm 5160 def betaConv nil 785 ref 5159 ref appTerm 5161 def axiom nil 346 ref 5161 remove nil cons cons 347 ref 5160 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5159 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 5162 def subst subst 5163 def trans absThm appThm 94 ref nil 55 ref 4926 ref constTerm 5164 def 4960 ref 66 ref 664 ref absTerm appTerm appTerm "Set.{}" const 5165 def 4921 ref constTerm 5166 def appTerm axiom subst 5167 def trans appThm 94 ref nil 122 ref 5075 ref 5166 ref appTerm appTerm 134 ref appTerm axiom subst 5168 def trans appThm 1951 ref 1308 ref 56 ref 1613 ref 134 ref appTerm appTerm 3563 ref appTerm absTerm 5169 def 1310 ref appTerm 5170 def betaConv nil 19 ref 5169 ref appTerm 5171 def axiom nil 346 ref 5171 remove nil cons cons 347 ref 5170 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5169 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp 5172 def subst nil 4873 ref 347 ref 56 ref 2858 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 379 ref 2858 ref nil cons 5173 def cons 5174 def nil cons nil cons cons 791 ref subst eqMp 5175 def trans trans appThm 3162 ref trans sym 81 ref eqMp eqMp eqMp eqMp nil 379 ref 5140 remove cons 381 ref 5123 remove cons nil cons 5176 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 5132 remove cons 5177 def 5176 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 5128 remove cons 5178 def 5176 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 5119 ref 963 ref appTerm appTerm 5179 def 5122 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 5120 remove appTerm 5180 def 5122 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5119 remove nil cons cons 5181 def 5176 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 5092 ref cons 381 ref 5095 ref cons nil cons 5182 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 5105 ref cons 5096 ref cons nil cons cons 5183 def 362 ref subst 5183 remove 412 ref subst 5111 remove 2084 ref subst 5184 def 5084 ref assume eqMp nil 346 ref 99 ref 1055 ref 1926 ref 130 ref 124 ref appTerm 5185 def 1058 ref appTerm 5186 def appTerm 5187 def absTerm 5188 def appTerm 5189 def nil cons cons 5190 def 5096 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1055 ref 23 ref 5188 ref 1058 ref appTerm 5191 def appTerm 5192 def 5094 ref appTerm 5193 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 5193 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 5191 ref nil cons 5194 def cons 5195 def 5096 ref cons nil cons cons 5196 def 362 ref subst 5196 remove 412 ref subst 5191 ref betaConv 5191 remove assume eqMp 5197 def nil 346 ref 5187 ref nil cons 5198 def cons 5199 def 5096 remove cons nil cons cons 5200 def 403 ref subst proveHyp 5200 ref 362 ref subst 5200 remove 412 ref subst 56 ref "_33198" 16 ref var 5201 def 56 ref 1985 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 4591 ref 5201 remove varTerm 5202 def appTerm appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm 24 ref 2085 ref 5202 ref appTerm appTerm 1985 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1622 ref 4042 ref 5202 remove appTerm 124 ref appTerm appTerm appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm appTerm absTerm 5203 def 1487 ref appTerm 5204 def appTerm refl 5203 ref 5186 ref appTerm betaConv appThm 383 ref 5204 remove betaConv appThm 56 ref 1985 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 4591 ref 5186 ref appTerm appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm 5205 def 24 ref 2085 ref 5186 ref appTerm appTerm 1985 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1622 ref 4042 ref 5186 ref appTerm 124 ref appTerm appTerm appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm appTerm refl appThm trans 5203 remove refl 5187 remove assume 5206 def appThm eqMp sym 5205 remove refl 1017 ref 2075 ref 2615 ref subst appThm 5090 ref 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 5099 ref 1017 ref 4009 remove 2075 remove 1442 ref 122 ref 4042 ref 1523 ref appTerm 5207 def 1310 ref appTerm appTerm 1447 ref appTerm absTerm 5208 def 1447 ref appTerm 5209 def betaConv 1308 ref 19 ref 5208 ref appTerm 5210 def absTerm 5211 def 1310 ref appTerm 5212 def betaConv nil 19 ref 5211 ref appTerm 5213 def axiom nil 346 ref 5213 remove nil cons cons 347 ref 5212 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5211 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5210 remove nil cons cons 347 ref 5209 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5208 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 5214 def subst appThm appThm 5103 ref appThm appThm appThm absThm appThm absThm appThm appThm appThm appThm nil 77 ref 1985 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1622 ref 1058 ref appTerm 5215 def appTerm 4587 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm nil cons cons nil cons nil cons cons 1026 ref subst trans appThm sym 5090 ref 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 5099 ref 1017 ref 383 ref 2012 ref nil 1983 ref 1445 ref cons nil cons cons 1533 ref subst appThm 5216 def 5186 ref refl appThm appThm 5215 ref refl appThm sym nil 3080 ref 1658 ref 2074 ref cons cons nil cons cons 3527 ref subst 5217 def eqMp appThm 5103 ref appThm appThm appThm absThm appThm absThm appThm appThm appThm eqMp eqMp eqMp nil 379 ref 5198 remove cons 5218 def 5182 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 5194 remove cons 5219 def 5182 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 5188 ref 963 ref appTerm appTerm 5220 def 5094 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 5189 remove appTerm 5221 def 5094 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5188 remove nil cons cons 5222 def 5182 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 5106 ref 5182 remove cons nil cons cons 395 ref subst deductAntisym eqMp 77 ref 2403 ref 78 ref appTerm 820 ref appTerm absTerm 5223 def 5084 remove appTerm 5224 def betaConv nil 785 ref 5223 ref appTerm 5225 def axiom 5226 def nil 346 ref 5225 remove nil cons cons 5227 def 347 ref 5224 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5223 ref nil cons cons 5228 def 789 ref 5105 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 5106 remove 381 ref 5092 remove cons 2464 ref 5095 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp eqMp 56 ref "_33134" 2 ref var 5229 def 4869 ref 5229 remove varTerm appTerm absTerm 5230 def 4603 remove appTerm 5231 def appTerm refl 5230 ref 5085 remove 1985 ref 2254 ref 5086 remove appTerm appTerm appTerm 5232 def appTerm betaConv appThm 383 ref 5231 remove betaConv appThm 4869 ref 5232 ref appTerm 5233 def refl appThm trans 5230 remove refl 5083 remove 5232 remove appTerm assume appThm eqMp sym nil 2103 ref 347 ref 707 ref 1400 ref 2254 ref 1487 ref appTerm 5234 def appTerm 1447 ref appTerm 5235 def appTerm 24 ref 122 ref 130 ref 1886 ref 1889 ref 157 ref appTerm 5236 def 1905 ref appTerm 5237 def appTerm 5238 def appTerm 5239 def 130 ref "Number.Natural.*" const 129 ref constTerm 5240 def 1895 ref appTerm 5241 def 1886 ref 1889 ref 161 ref appTerm 5242 def 1905 ref appTerm 5243 def appTerm 5244 def appTerm 5245 def appTerm 5246 def 1447 ref appTerm 5247 def appTerm appTerm 130 ref 1898 ref 136 ref appTerm 5248 def appTerm 5249 def 5234 ref appTerm 5250 def appTerm 5251 def appTerm 38 ref 4862 ref appTerm 5252 def appTerm 5253 def appTerm 99 ref "s" 16 ref var 5254 def 24 ref 122 ref 130 ref 2704 remove 2281 ref 1985 ref 2284 ref appTerm 5255 def absTerm 5256 def appTerm 5257 def appTerm 5254 ref varTerm 5258 def appTerm appTerm 5259 def 1487 ref appTerm 5260 def appTerm 707 ref 1612 ref 5258 ref appTerm 5261 def 131 ref appTerm 5262 def appTerm 5263 def 101 ref "srs" 8 ref var 5264 def 101 ref "crs" 8 ref var 5265 def 108 ref "crs0" 1 ref var 5266 def 24 ref 174 ref 157 ref appTerm 5267 def 130 ref 5258 ref appTerm 5268 def 135 ref appTerm 5269 def appTerm 5270 def 4042 ref 131 ref appTerm 5271 def 5258 ref appTerm 5272 def appTerm 5264 ref varTerm 5273 def appTerm 5274 def appTerm 5275 def 24 ref 210 ref 5258 ref appTerm 5276 def 4042 ref 136 ref appTerm 5277 def 5258 ref appTerm appTerm 5265 ref varTerm 5278 def appTerm 5279 def appTerm 5280 def 24 ref 205 ref 5258 ref appTerm 5266 ref varTerm 5281 def appTerm 5282 def appTerm 5283 def 24 ref 122 ref 130 ref 1886 ref 1889 ref 5273 ref appTerm 5284 def 1905 ref appTerm appTerm 5285 def appTerm 1886 ref 1889 ref 5278 ref appTerm 5286 def 1905 ref appTerm appTerm 5287 def appTerm 5288 def appTerm 5289 def 1898 ref 5272 remove appTerm 5290 def appTerm 5291 def appTerm 24 ref 26 ref 5281 ref appTerm 5292 def 1905 ref appTerm 5293 def appTerm 5252 ref appTerm 5294 def appTerm 5295 def appTerm 5296 def appTerm 5297 def appTerm 5298 def absTerm 5299 def appTerm 5300 def absTerm 5301 def appTerm 5302 def absTerm 5303 def appTerm 5304 def appTerm 4862 ref appTerm 5305 def appTerm 5306 def absTerm 5307 def appTerm 5308 def appTerm 5309 def nil cons 5310 def cons 5311 def nil cons cons nil cons cons 403 ref subst 1486 ref 2105 remove 5309 ref appTerm 5312 def absTerm 5313 def 1487 ref appTerm 5314 def betaConv 5315 def nil 346 ref 19 ref 1158 ref 23 ref 1622 ref 134 ref appTerm appTerm 1878 ref appTerm absTerm 5316 def appTerm 5317 def nil cons 5318 def cons 5319 def 347 ref 707 ref 1400 ref 2255 ref appTerm 1447 ref appTerm appTerm 24 ref 122 ref 130 ref 1886 ref 5236 ref 1301 ref appTerm appTerm appTerm 130 ref 5241 ref 1886 ref 5242 ref 1301 ref appTerm appTerm appTerm appTerm 1447 ref appTerm appTerm appTerm 5249 ref 2255 remove appTerm appTerm appTerm 38 ref 672 ref 1301 ref appTerm 5320 def appTerm 5321 def appTerm appTerm 99 ref 5254 ref 24 ref 5259 ref 134 ref appTerm appTerm 5322 def 5263 ref 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 5275 ref 5280 ref 5283 ref 24 ref 122 ref 130 ref 1886 ref 5284 ref 1301 ref appTerm appTerm appTerm 1886 ref 5286 ref 1301 ref appTerm appTerm appTerm appTerm 5290 ref appTerm appTerm 24 ref 5292 ref 1301 ref appTerm appTerm 5321 remove appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 5320 remove appTerm appTerm absTerm appTerm appTerm 5323 def nil cons 5324 def cons nil cons cons nil cons cons 5325 def 362 ref subst 5325 remove 412 ref subst 56 ref "_33493" 127 ref var 5326 def 122 ref 5326 remove varTerm 134 ref appTerm appTerm 134 ref appTerm absTerm 5327 def 2254 ref appTerm 5328 def appTerm refl 5327 ref 4877 ref appTerm betaConv appThm 383 ref 5328 remove betaConv appThm 122 ref 4877 ref 134 ref appTerm 5329 def appTerm 134 ref appTerm refl appThm trans 5327 remove refl 4900 ref appThm eqMp sym 1519 ref 5329 remove betaConv 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 1017 ref 1710 ref 1442 ref 56 ref 3387 ref 1447 ref appTerm 5330 def appTerm 4871 ref appTerm absTerm 5331 def 1447 ref appTerm 5332 def betaConv nil 19 ref 5331 ref appTerm 5333 def axiom nil 346 ref 5333 remove nil cons cons 347 ref 5332 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5331 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 5334 def subst appThm 5335 def 1017 ref 1516 remove 5172 ref subst appThm 5103 ref appThm appThm appThm absThm appThm absThm appThm appThm trans appThm 2788 ref appThm sym 1519 ref 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref nil 3126 ref 4980 ref cons 789 ref 1877 ref nil cons 5336 def cons nil cons cons nil cons cons nil 77 ref 24 ref 38 ref 3128 ref appTerm 5337 def appTerm 3134 remove appTerm 5338 def nil cons cons nil cons nil cons cons 826 ref subst sym nil 3132 ref 347 ref 38 ref 5338 remove appTerm nil cons 5339 def cons nil cons 5340 def cons nil cons cons 5341 def 362 ref subst 5341 remove 412 ref subst 56 ref "_33120" 2 ref var 5342 def 38 ref 24 ref 38 ref 5342 remove varTerm 5343 def appTerm appTerm 24 ref 5343 remove appTerm 3133 ref appTerm appTerm appTerm absTerm 5344 def 3128 ref appTerm 5345 def appTerm refl 5346 def 5344 ref 664 ref appTerm betaConv appThm 383 ref 5345 remove betaConv appThm 5347 def 38 ref 24 ref 3161 ref appTerm 5348 def 3149 remove appTerm appTerm refl appThm trans 5344 remove refl 5349 def 3153 ref appThm eqMp sym 839 ref 1017 ref 3162 ref appThm 5350 def 3160 ref appThm 5158 ref 1026 ref subst 5351 def trans appThm 3162 ref trans sym 81 ref eqMp eqMp eqMp nil 3168 ref 381 ref 5339 ref cons nil cons 5352 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 3172 ref 5340 remove cons nil cons cons 5353 def 362 ref subst 5353 remove 412 ref subst 5346 remove "_33118" 2 ref var 5354 def 38 ref 24 ref 38 ref 5354 remove varTerm 5355 def appTerm appTerm 24 ref 5355 remove appTerm 3133 ref appTerm appTerm appTerm absTerm 67 ref appTerm betaConv appThm 5347 remove 38 ref 24 ref 3474 ref appTerm 5356 def 3176 remove appTerm appTerm refl appThm trans 5349 remove 3179 ref appThm eqMp sym 839 ref 1017 ref 3475 ref appThm 5357 def 3180 remove appThm 3160 remove trans appThm 3162 ref trans sym 81 ref eqMp eqMp eqMp nil 3183 ref 5352 remove cons nil cons cons 395 ref subst deductAntisym eqMp 3191 ref nil 3183 ref 3192 ref 2464 ref 5339 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp subst appThm absThm appThm absThm appThm 94 ref 5164 ref 4960 ref 4961 remove 866 ref 66 ref 24 ref 4962 remove 408 ref appTerm appTerm 664 ref appTerm absTerm appTerm absTerm appTerm 5358 def appTerm 5166 ref appTerm assume sym 5164 ref 5166 ref appTerm 5358 remove appTerm 5359 def assume sym deductAntisym nil 5359 remove axiom eqMp subst trans appThm appThm 2788 ref appThm sym 5168 ref eqMp eqMp eqMp 753 ref 2536 ref 2256 remove assume 5360 def appThm 2263 ref appThm 5334 ref 839 ref 5175 remove appThm 3162 ref trans trans trans appThm 1017 ref 1519 ref 2897 ref 1886 ref refl 5361 def 5236 ref refl 1318 ref appThm appThm appThm 2897 ref 5241 ref refl 5362 def 5361 ref 5242 ref refl 1318 ref appThm appThm appThm appThm 2263 ref appThm appThm appThm 5249 ref refl 5363 def 5360 remove appThm nil 1308 ref 5248 ref nil cons 5364 def cons nil cons 5365 def nil cons cons 5366 def 1317 ref subst trans appThm appThm 839 ref 672 ref refl 5367 def 1318 ref appThm 5368 def appThm 5369 def appThm appThm 2071 ref 5254 ref 5322 ref refl 5263 ref refl 5370 def 4748 ref 5264 ref 4748 ref 5265 ref 3913 ref 5266 ref 5275 ref refl 5371 def 5280 ref refl 5372 def 5283 ref refl 5373 def 1017 ref 1519 ref 2897 ref 5361 ref 5284 ref refl 5374 def 1318 ref appThm appThm appThm 5361 ref 5286 ref refl 5375 def 1318 ref appThm appThm appThm appThm 5290 ref refl appThm appThm 1017 ref 5292 ref refl 5376 def 1318 ref appThm appThm 5369 remove appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm appThm 5368 remove appThm appThm absThm appThm appThm nil 794 ref 99 ref 5254 ref 5322 remove 5263 ref 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 5275 ref 5280 ref 5283 ref 24 ref 122 ref 130 ref 1886 ref 5284 ref 29 ref appTerm appTerm appTerm 1886 ref 5286 ref 29 ref appTerm appTerm appTerm appTerm 5290 ref appTerm appTerm 24 ref 5292 ref 29 ref appTerm 5377 def appTerm 827 ref appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 673 ref appTerm appTerm absTerm appTerm nil cons cons 796 ref 24 ref 122 ref 130 ref 1886 ref 5236 ref 29 ref appTerm 5378 def appTerm appTerm 130 ref 5241 ref 1886 ref 5242 ref 29 ref appTerm 5379 def appTerm 5380 def appTerm appTerm 1447 ref appTerm 5381 def appTerm appTerm 5248 ref appTerm appTerm 827 ref appTerm 5382 def nil cons 5383 def cons nil cons cons nil cons cons 817 ref subst trans sym 20 ref 23 ref 4675 ref appTerm 5384 def 4110 ref 5378 ref appTerm 5385 def 706 ref 0 ref 2 ref 0 ref 1884 ref 0 ref 1884 ref 1887 remove cons opType nil cons 5386 def cons opType nil cons cons opType constTerm 5387 def 30 ref appTerm 5388 def 1891 ref appTerm 5389 def 1889 ref 148 ref appTerm 5390 def 29 ref appTerm 5391 def appTerm 5392 def appTerm appTerm 5393 def absTerm 5394 def 29 ref appTerm 5395 def betaConv "z" 8 ref var 5396 def 19 ref 20 ref 23 ref 4674 remove 5396 ref varTerm 5397 def appTerm 5398 def appTerm 4110 ref 1889 ref 5397 ref appTerm 29 ref appTerm appTerm 5399 def 5392 remove appTerm appTerm absTerm appTerm absTerm 5400 def 157 ref appTerm 5401 def betaConv 1477 ref 11 ref 5396 ref 19 ref 20 ref 23 ref 4673 remove 1478 ref appTerm 5397 ref appTerm 5402 def appTerm 5399 ref 5389 remove 1889 ref 1478 ref appTerm 5403 def 29 ref appTerm 5404 def appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 5405 def 148 ref appTerm 5406 def betaConv 415 ref 11 ref 1477 ref 11 ref 5396 ref 19 ref 20 ref 23 ref 238 ref 857 ref appTerm 1478 ref appTerm 5397 ref appTerm 5407 def appTerm 5399 ref 5388 ref 2063 ref appTerm 5404 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 5408 def 34 ref appTerm 5409 def betaConv 727 ref 11 ref 415 ref 11 ref 1477 ref 11 ref 5396 ref 19 ref 20 ref 23 ref 237 ref 728 ref appTerm 5410 def 857 ref appTerm 1478 ref appTerm 5397 ref appTerm 5411 def appTerm 5399 ref 5387 ref 731 remove appTerm 2063 ref appTerm 5404 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 5412 def 27 ref appTerm 5413 def betaConv nil 14 ref 5412 ref appTerm 5414 def axiom nil 346 ref 5414 remove nil cons cons 347 ref 5413 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 5412 remove nil cons cons 406 ref cons nil cons cons 414 ref subst eqMp eqMp 5415 def nil 346 ref 11 ref 5408 ref appTerm nil cons cons 5416 def 347 ref 5409 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 5408 ref nil cons cons 5417 def 416 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 5405 ref appTerm nil cons cons 347 ref 5406 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 5405 remove nil cons cons 415 ref 148 ref nil cons cons 5418 def nil cons 5419 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 5400 ref appTerm nil cons cons 347 ref 5401 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 5400 remove nil cons cons 415 ref 157 ref nil cons cons 5420 def nil cons 5421 def cons nil cons cons 414 ref subst eqMp eqMp 5422 def nil 346 ref 19 ref 5394 ref appTerm nil cons cons 5423 def 347 ref 5395 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5394 ref nil cons cons 5424 def 702 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5393 remove nil cons cons 347 ref 5383 ref cons nil cons 5425 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 4842 ref cons nil cons nil cons cons 82 ref subst 4675 remove assume eqMp 5426 def appThm 5427 def 5385 ref refl 5387 ref refl 5428 def 755 remove 96 ref 1934 ref 3627 ref subst appThm 2765 remove appThm 2766 remove trans 5429 def 5316 ref 134 ref appTerm 5430 def betaConv 5431 def nil 5319 remove 347 ref 5430 remove nil cons cons nil cons cons nil cons cons 403 ref subst 5432 def 93 ref 90 ref 5316 remove nil cons cons 1353 ref cons nil cons cons 414 ref subst 5433 def eqMp eqMp 5434 def eqMp eqMp 5435 def appThm 5436 def 1891 ref refl appThm 5391 ref refl appThm nil "t2" 1884 ref var 5437 def 5391 remove nil cons cons "t1" 1884 ref var 5438 def 2056 remove cons nil cons cons nil cons cons 4530 ref 816 ref subst 5439 def subst trans appThm appThm nil 77 ref 5385 remove 1891 ref appTerm 5440 def nil cons 5441 def cons nil cons nil cons cons 833 ref subst trans appThm 5382 remove refl appThm sym nil 346 ref 5441 ref cons 5425 remove cons nil cons cons 5442 def 362 ref subst 5442 remove 412 ref subst 56 ref "_33495" 1884 ref var 5443 def 24 ref 122 ref 130 ref 1886 ref 5443 remove varTerm appTerm appTerm 5381 ref appTerm appTerm 5248 ref appTerm appTerm 827 ref appTerm absTerm 5444 def 5378 ref appTerm 5445 def appTerm refl 5444 ref 1891 ref appTerm betaConv appThm 383 ref 5445 remove betaConv appThm 24 ref 122 ref 1893 ref 5381 remove appTerm appTerm 5248 ref appTerm appTerm 827 ref appTerm 5446 def refl 5447 def appThm trans 5444 remove refl 5440 remove assume appThm eqMp sym 20 ref 23 ref 4680 ref appTerm 5448 def 4110 ref 5379 ref appTerm 5449 def 5388 ref 1889 ref 4677 ref appTerm 5450 def 29 ref appTerm 5451 def appTerm 5452 def 1889 ref 152 ref appTerm 5453 def 29 ref appTerm 5454 def appTerm 5455 def appTerm appTerm 5456 def absTerm 5457 def 29 ref appTerm 5458 def betaConv 5396 ref 19 ref 20 ref 23 ref 4679 remove 5397 ref appTerm 5459 def appTerm 5399 ref 5455 remove appTerm appTerm absTerm appTerm absTerm 5460 def 161 ref appTerm 5461 def betaConv 1477 ref 11 ref 5396 ref 19 ref 20 ref 23 ref 4678 remove 1478 ref appTerm 5397 ref appTerm 5462 def appTerm 5399 ref 5452 remove 5404 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 5463 def 152 ref appTerm 5464 def betaConv 5408 ref 4677 ref appTerm 5465 def betaConv 5415 ref nil 5416 ref 347 ref 5465 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 5417 ref 415 ref 4677 ref nil cons cons 5466 def nil cons 5467 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 5463 ref appTerm nil cons cons 347 ref 5464 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 5463 remove nil cons cons 415 ref 152 ref nil cons cons 5468 def nil cons 5469 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 5460 ref appTerm nil cons cons 347 ref 5461 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 5460 remove nil cons cons 415 ref 161 ref nil cons cons 5470 def nil cons 5471 def cons nil cons cons 414 ref subst eqMp eqMp 5472 def nil 346 ref 19 ref 5457 ref appTerm nil cons cons 5473 def 347 ref 5458 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5457 ref nil cons cons 5474 def 702 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5456 remove nil cons cons 347 ref 5446 remove nil cons 5475 def cons nil cons 5476 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 4845 remove cons nil cons nil cons cons 82 ref subst 4680 remove assume 5477 def eqMp 5478 def appThm 5479 def 5449 ref refl 5436 remove 5451 ref refl appThm 5454 ref refl appThm nil 5437 ref 5454 remove nil cons cons 5438 ref 5451 ref nil cons cons nil cons cons nil cons cons 5439 remove subst trans appThm appThm nil 77 ref 5449 remove 5451 ref appTerm 5480 def nil cons 5481 def cons nil cons nil cons cons 833 ref subst trans appThm 5447 remove appThm sym nil 346 ref 5481 ref cons 5476 remove cons nil cons cons 5482 def 362 ref subst 5482 remove 412 ref subst 56 ref "_33497" 1884 ref var 5483 def 24 ref 122 ref 1893 ref 130 ref 5241 ref 1886 ref 5483 remove varTerm appTerm appTerm appTerm 1447 ref appTerm appTerm appTerm 5248 ref appTerm appTerm 827 ref appTerm absTerm 5484 def 5379 ref appTerm 5485 def appTerm refl 5484 ref 5451 ref appTerm betaConv appThm 383 ref 5485 remove betaConv appThm 24 ref 122 ref 1893 remove 130 ref 5241 ref 1886 ref 5451 remove appTerm appTerm appTerm 1447 ref appTerm appTerm appTerm 5248 ref appTerm appTerm 5486 def 827 remove appTerm 5487 def refl 5488 def appThm trans 5484 remove refl 5480 remove assume appThm eqMp sym 749 remove nil 750 remove 347 ref 5487 remove nil cons 5489 def cons nil cons 5490 def cons nil cons cons 403 ref subst proveHyp 96 ref 751 ref 752 remove 753 ref 5435 remove appThm 710 ref refl appThm 793 remove appThm nil 795 remove 796 ref 761 remove cons nil cons cons nil cons cons 817 ref subst trans appThm appThm nil 77 ref 705 remove 710 ref appTerm 5491 def nil cons 5492 def cons nil cons nil cons cons 833 ref subst trans appThm 5488 remove appThm sym nil 346 ref 5492 ref cons 5490 remove cons nil cons cons 5493 def 362 ref subst 5493 remove 412 ref subst 56 ref "_33499" 2 ref var 5494 def 5486 ref 38 ref 5494 remove varTerm appTerm appTerm absTerm 5495 def 673 ref appTerm 5496 def appTerm refl 5495 ref 710 remove appTerm betaConv appThm 383 ref 5496 remove betaConv appThm 5486 remove 757 remove appTerm refl appThm trans 5495 remove refl 5491 remove assume appThm eqMp sym 1017 ref 1519 ref 2115 ref 2897 ref 5362 ref nil 1442 ref 136 ref nil cons 5497 def cons 5498 def nil cons 5499 def nil cons cons 5500 def 20 ref 122 ref 1886 ref 1889 ref 249 ref 1447 ref appTerm 5501 def appTerm 29 ref appTerm appTerm appTerm 134 ref appTerm absTerm 5502 def 29 ref appTerm 5503 def betaConv 1442 ref 19 ref 5502 ref appTerm 5504 def absTerm 5505 def 1447 ref appTerm 5506 def betaConv nil 19 ref 5505 ref appTerm 5507 def axiom nil 346 ref 5507 remove nil cons cons 347 ref 5506 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5505 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5504 remove nil cons cons 347 ref 5503 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5502 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm nil 1308 ref 1895 ref nil cons 5508 def cons nil cons 5509 def nil cons cons 5510 def 1308 ref 122 ref 5240 ref 1310 ref appTerm 5511 def 134 ref appTerm appTerm 134 ref appTerm absTerm 5512 def 1310 ref appTerm 5513 def betaConv nil 19 ref 5512 ref appTerm 5514 def axiom nil 346 ref 5514 remove nil cons cons 347 ref 5513 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5512 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp subst 5515 def trans appThm 2263 ref appThm 1715 ref trans appThm 4600 ref assume 2062 ref 5101 ref appThm 5516 def trans trans appThm 5248 ref refl appThm nil 700 ref 5364 ref cons nil cons nil cons cons 2745 ref subst trans appThm 839 ref 792 ref appThm 3162 ref trans appThm 1030 ref trans sym 81 ref eqMp eqMp eqMp nil 379 ref 5492 remove cons 381 ref 5489 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 5481 remove cons 381 ref 5475 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 5441 remove cons 381 ref 5383 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 379 ref 5318 remove cons 5517 def 381 ref 5324 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 23 ref 5317 ref appTerm 5323 remove appTerm 5518 def nil cons cons 347 ref 19 ref 1486 ref 23 ref 5312 ref appTerm 5519 def 23 ref 19 ref 1158 ref 23 ref 4007 ref appTerm 1878 ref appTerm absTerm 5520 def appTerm 5521 def appTerm 707 ref 1400 ref 2254 ref 2088 ref appTerm 5522 def appTerm 1447 ref appTerm 5523 def appTerm 5524 def 24 ref 122 ref 130 ref 1886 ref 5236 remove 1062 ref 2088 ref appTerm 5525 def appTerm 5526 def appTerm 5527 def appTerm 5528 def 130 ref 5241 ref 1886 ref 5242 remove 5525 ref appTerm 5529 def appTerm 5530 def appTerm 5531 def appTerm 1447 ref appTerm appTerm appTerm 5532 def 5249 ref 5522 ref appTerm appTerm appTerm 5533 def 38 ref 672 ref 5525 ref appTerm 5534 def appTerm 5535 def appTerm appTerm 99 ref 5254 ref 24 ref 5259 remove 2088 ref appTerm appTerm 5536 def 5263 ref 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 5275 ref 5280 ref 5283 ref 24 ref 122 ref 130 ref 1886 ref 5284 ref 5525 ref appTerm appTerm appTerm 1886 ref 5286 ref 5525 ref appTerm appTerm 5537 def appTerm appTerm 5538 def 5290 ref appTerm appTerm 5539 def 24 ref 5292 ref 5525 ref appTerm 5540 def appTerm 5541 def 5535 remove appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 5534 ref appTerm appTerm absTerm appTerm appTerm 5542 def appTerm 5543 def appTerm 5544 def absTerm 5545 def appTerm 5546 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 90 ref 5545 remove nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 5544 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 5312 remove nil cons 5547 def cons 5548 def 347 ref 5543 remove nil cons 5549 def cons nil cons cons nil cons cons 5550 def 362 ref subst 5550 remove 412 ref subst nil 346 ref 5521 remove nil cons 5551 def cons 5552 def 347 ref 5542 ref nil cons 5553 def cons nil cons 5554 def cons nil cons cons 5555 def 362 ref subst 5555 remove 412 ref subst nil 5548 remove 5554 remove cons nil cons cons 403 ref subst nil 2750 remove nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 1879 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 1874 ref nil cons 5556 def cons 347 ref 1878 ref nil cons 5557 def cons nil cons 5558 def cons nil cons cons 5559 def 362 ref subst 5559 remove 412 ref subst 1442 ref 4987 ref 4005 remove appTerm absTerm 5560 def 1487 ref appTerm betaConv sym 1017 ref nil 77 ref 5556 ref cons nil cons nil cons cons 82 ref subst 1874 ref assume 5561 def eqMp appThm 2758 ref nil 77 ref 1985 ref 1448 ref appTerm 5562 def nil cons cons nil cons nil cons cons 82 ref subst 1442 ref 5562 remove absTerm 5563 def 1447 ref appTerm 5564 def betaConv nil 19 ref 5563 ref appTerm 5565 def axiom nil 346 ref 5565 remove nil cons cons 347 ref 5564 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5563 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp 5566 def subst 5567 def appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 5560 ref nil cons cons 3974 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 5560 remove appTerm nil cons cons 347 ref 4008 ref cons nil cons cons nil cons cons 403 ref subst proveHyp nil 4011 remove 1445 ref cons nil cons cons 3755 ref subst eqMp nil 346 ref 4008 remove cons 5558 ref cons nil cons cons 403 ref subst proveHyp 5520 ref 1161 ref appTerm 5568 def betaConv nil 5552 ref 347 ref 5568 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 5520 ref nil cons cons 5569 def 1510 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 5556 ref cons 5570 def 381 ref 5557 remove cons nil cons 5571 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 2103 ref 347 ref 23 ref 5309 ref appTerm 5572 def 5542 ref appTerm 5573 def nil cons 5574 def cons nil cons 5575 def cons nil cons cons 412 ref subst proveHyp 56 ref "_33501" 127 ref var 5576 def 122 ref 5576 remove varTerm 5577 def 2088 ref appTerm appTerm 130 ref 5577 remove 1487 ref appTerm appTerm 2197 ref 4586 ref 5525 ref appTerm 5578 def appTerm 135 ref appTerm 134 ref appTerm 5579 def appTerm appTerm absTerm 5580 def 2254 ref appTerm 5581 def appTerm refl 5580 ref 4877 ref appTerm betaConv appThm 383 ref 5581 remove betaConv appThm 122 ref 4877 ref 2088 ref appTerm 5582 def appTerm 130 ref 4877 remove 1487 ref appTerm 5583 def appTerm 5579 ref appTerm appTerm refl appThm trans 5580 remove refl 4900 remove appThm eqMp sym 1519 ref 5582 remove betaConv appThm 2897 ref 5583 remove betaConv appThm 5579 ref refl appThm appThm sym 2844 ref 24 ref 122 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 4007 remove appTerm 4587 ref appTerm appTerm 5584 def appTerm absTerm appTerm absTerm appTerm 5585 def appTerm 5586 def appTerm 5587 def 2866 ref appTerm appTerm 2867 ref 130 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 ref 24 ref 1874 ref appTerm 4587 ref appTerm 5588 def appTerm 5589 def appTerm absTerm appTerm absTerm appTerm 5590 def appTerm 5591 def appTerm 5592 def 5579 ref appTerm 5593 def appTerm 5594 def appTerm absTerm 5595 def 4561 ref "Set.union" const 5596 def 0 ref 4560 ref 0 ref 4560 ref 4563 remove cons opType nil cons 5597 def cons opType 5598 def constTerm 5590 ref appTerm 706 ref 0 ref 2 ref 5598 ref nil cons cons opType constTerm 5578 ref appTerm "Set.insert" const 5599 def 0 ref 16 ref 5597 ref cons opType constTerm 2088 ref appTerm 5165 remove 4560 ref constTerm 5600 def appTerm 5601 def appTerm 5600 ref appTerm 5602 def appTerm 5603 def appTerm 5604 def appTerm betaConv sym 5098 ref nil 4917 ref 5603 remove nil cons cons 4919 ref 5585 remove nil cons cons nil cons cons nil cons cons 94 ref 4922 ref 56 ref 5164 ref 4929 ref appTerm 4930 ref appTerm 5605 def appTerm 60 ref 66 ref 56 ref 4935 ref appTerm 4936 ref appTerm absTerm appTerm 5606 def appTerm absTerm 5607 def 4930 ref appTerm 5608 def betaConv 4928 ref 4940 ref 5607 ref appTerm 5609 def absTerm 5610 def 4929 ref appTerm 5611 def betaConv 4940 ref refl 5612 def 4928 ref 5612 remove 4922 ref nil 3126 ref 5606 ref nil cons cons 789 ref 5605 ref nil cons cons nil cons cons nil cons cons 798 ref 2854 remove subst subst absThm appThm absThm appThm sym nil 4940 ref 4928 ref 4940 ref 4922 ref 56 ref 5606 remove appTerm 5605 remove appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 346 ref 4940 ref 5610 ref appTerm nil cons cons 347 ref 5611 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5610 remove nil cons cons 4949 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5609 remove nil cons cons 347 ref 5608 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5607 remove nil cons cons 4950 ref cons nil cons cons 414 ref subst eqMp eqMp subst 5613 def subst 1432 ref 700 ref 383 ref 383 ref 4956 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 1158 ref 5584 ref absTerm 5614 def 1161 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 5614 ref 963 ref appTerm betaConv appThm nil 1823 ref 5614 remove nil cons cons nil cons nil cons cons 4969 ref subst eqMp appThm nil 4917 ref 5602 ref nil cons cons 4919 ref 5590 ref nil cons cons nil cons 5615 def cons nil cons cons 5616 def 94 ref 66 ref 56 ref 4934 ref 5596 remove 0 ref 4921 ref 0 ref 4921 ref 4945 remove cons opType nil cons 5617 def cons opType 5618 def constTerm 4929 ref appTerm 4930 ref appTerm 5619 def appTerm appTerm 2403 ref 4935 ref appTerm 4936 ref appTerm appTerm absTerm 5620 def 408 ref appTerm 5621 def betaConv 4922 ref 60 ref 5620 ref appTerm 5622 def absTerm 5623 def 4930 ref appTerm 5624 def betaConv 4928 ref 4940 ref 5623 ref appTerm 5625 def absTerm 5626 def 4929 ref appTerm 5627 def betaConv nil 4940 ref 5626 ref appTerm 5628 def axiom nil 346 ref 5628 remove nil cons cons 347 ref 5627 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5626 remove nil cons cons 4949 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5625 remove nil cons cons 347 ref 5624 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5623 remove nil cons cons 4950 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5622 remove nil cons cons 347 ref 5621 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5620 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp subst subst 2403 ref refl 5629 def 383 ref 4956 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 1158 ref 5589 ref absTerm 5630 def 1161 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 5630 ref 963 ref appTerm betaConv appThm nil 1823 ref 5630 remove nil cons cons nil cons nil cons cons 4969 ref subst eqMp 5631 def appThm 4955 ref 5602 ref appTerm 5632 def refl 5633 def appThm trans appThm absThm appThm trans sym nil 90 ref 1158 ref 56 ref 5584 remove appTerm 2403 ref 5589 ref appTerm 5634 def 4954 ref 1161 ref appTerm 5635 def 5602 ref appTerm 5636 def appTerm 5637 def appTerm 5638 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 5638 remove nil cons cons nil cons nil cons cons 82 ref subst 383 ref 5099 ref 1017 ref nil 1971 ref 1445 ref cons nil cons cons 5639 def 1442 ref 56 ref 1613 ref 1448 ref appTerm appTerm 2403 ref 3565 remove appTerm 1614 remove appTerm appTerm absTerm 5640 def 1447 ref appTerm 5641 def betaConv 1308 ref 19 ref 5640 ref appTerm 5642 def absTerm 5643 def 1310 ref appTerm 5644 def betaConv nil 19 ref 5643 ref appTerm 5645 def axiom nil 346 ref 5645 remove nil cons cons 347 ref 5644 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5643 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5642 remove nil cons cons 347 ref 5641 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5640 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm 5103 ref appThm nil 2426 ref 4980 remove cons 347 ref 5556 remove cons 346 ref 1876 ref 2088 ref appTerm 5646 def nil cons 5647 def cons 5648 def nil cons cons cons nil cons cons 2426 ref 56 ref 24 ref 2403 ref 348 ref appTerm 350 ref appTerm appTerm 2427 ref appTerm appTerm 2403 ref 352 ref 2427 ref appTerm 5649 def appTerm 24 ref 350 ref appTerm 2427 ref appTerm appTerm appTerm absTerm 5650 def 2427 ref appTerm 5651 def betaConv 347 ref 785 ref 5650 ref appTerm 5652 def absTerm 5653 def 350 ref appTerm 5654 def betaConv 346 ref 785 ref 5653 ref appTerm 5655 def absTerm 5656 def 348 ref appTerm 5657 def betaConv nil 785 ref 5656 ref appTerm 5658 def axiom nil 346 ref 5658 remove nil cons cons 347 ref 5657 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5656 remove nil cons cons 3210 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5655 remove nil cons cons 347 ref 5654 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5653 remove nil cons cons 3221 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5652 remove nil cons cons 347 ref 5651 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5650 remove nil cons cons 3223 ref cons nil cons cons 414 ref subst eqMp eqMp subst trans appThm nil 2426 ref 5588 remove nil cons 5659 def cons 347 ref 24 ref 5646 ref appTerm 4587 remove appTerm 5660 def nil cons cons 346 ref 4976 remove cons nil cons cons cons nil cons cons 2426 ref 56 ref 352 remove 2403 ref 350 ref appTerm 2427 ref appTerm appTerm appTerm 2403 ref 353 remove appTerm 5649 remove appTerm appTerm absTerm 5661 def 2427 remove appTerm 5662 def betaConv 347 ref 785 ref 5661 ref appTerm 5663 def absTerm 5664 def 350 remove appTerm 5665 def betaConv 346 ref 785 ref 5664 ref appTerm 5666 def absTerm 5667 def 348 remove appTerm 5668 def betaConv nil 785 ref 5667 ref appTerm 5669 def axiom nil 346 ref 5669 remove nil cons cons 347 ref 5668 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5667 remove nil cons cons 3210 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5666 remove nil cons cons 347 ref 5665 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5664 remove nil cons cons 3221 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5663 remove nil cons cons 347 ref 5662 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5661 remove nil cons cons 3223 remove cons nil cons cons 414 ref subst eqMp eqMp subst trans appThm 5637 remove refl 5670 def appThm sym 383 ref nil 794 ref 5589 ref nil cons 5671 def cons 796 ref 4570 ref 5660 remove appTerm 5672 def nil cons cons nil cons cons nil cons cons 794 ref 56 ref 2403 ref 2387 ref appTerm 2388 ref appTerm appTerm 2403 ref 2388 ref appTerm 2387 ref appTerm appTerm absTerm 5673 def 2388 ref appTerm 5674 def betaConv 796 ref 785 ref 5673 ref appTerm 5675 def absTerm 5676 def 2387 ref appTerm 5677 def betaConv nil 785 ref 5676 ref appTerm 5678 def axiom nil 346 ref 5678 remove nil cons cons 347 ref 5677 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5676 remove nil cons cons 2399 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5675 remove nil cons cons 347 ref 5674 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5673 remove nil cons cons 2400 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm 5670 remove appThm sym 5634 remove refl nil 346 ref 38 ref 5646 ref appTerm nil cons 5679 def cons 5680 def 347 ref 56 ref 5672 remove appTerm 5681 def 5636 ref appTerm nil cons 5682 def cons nil cons 5683 def cons nil cons cons 5684 def 362 ref subst 5684 remove 412 ref subst 383 ref "_33567" 4560 ref var 5685 def 5681 ref 5635 ref 5685 remove varTerm appTerm appTerm absTerm 5686 def 5602 ref appTerm betaConv appThm 1017 ref 23 ref 5578 ref appTerm 5687 def refl 5688 def 5686 ref 5601 ref appTerm betaConv appThm appThm 23 ref 38 ref 5578 ref appTerm 5689 def appTerm 5690 def refl 5691 def 5686 ref 5600 ref appTerm betaConv appThm appThm appThm nil "_485" 4560 ref var 5600 ref nil cons 5692 def cons "_482" 4560 ref var 5601 ref nil cons cons "_483" 2 ref var 5693 def 5578 ref nil cons 5694 def cons nil cons cons cons nil cons cons 5695 def nil "_484" 4952 remove var 5696 def 5686 remove nil cons cons nil cons nil cons cons 5025 ref 53 ref cons nil 66 ref "_482" 57 ref var varTerm nil cons cons "c" 2 ref var 5697 def 5693 ref varTerm nil cons cons 64 ref "_484" 58 remove var varTerm nil cons cons 2242 ref "_485" 57 ref var varTerm nil cons cons nil cons cons cons cons nil cons cons 2242 ref 56 ref 65 ref 803 remove 5697 ref varTerm 5698 def appTerm 408 ref appTerm 2243 ref appTerm appTerm appTerm 24 ref 23 ref 5698 ref appTerm 883 ref appTerm appTerm 23 ref 38 ref 5698 ref appTerm appTerm 2250 remove appTerm appTerm appTerm absTerm 5699 def 2243 ref appTerm 5700 def betaConv 66 ref 60 ref 5699 ref appTerm 5701 def absTerm 5702 def 408 ref appTerm 5703 def betaConv 5697 remove 60 ref 5702 ref appTerm 5704 def absTerm 5705 def 5698 ref appTerm 5706 def betaConv 64 ref 785 ref 5705 ref appTerm 5707 def absTerm 5708 def 65 ref appTerm 5709 def betaConv nil 2873 ref 5708 ref appTerm 5710 def axiom nil 346 ref 5710 remove nil cons cons 347 ref 5709 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2875 ref 2876 ref 5708 remove nil cons cons 2878 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5707 remove nil cons cons 347 ref 5706 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5705 remove nil cons cons 789 ref 5698 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5704 remove nil cons cons 347 ref 5703 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5702 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5701 remove nil cons cons 347 ref 5700 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5699 remove nil cons cons 2853 ref cons nil cons cons 414 ref subst eqMp eqMp subst 5711 def subst 5712 def subst subst eqMp sym nil 346 ref 5694 ref cons 5713 def 347 ref 5681 ref 5635 ref 5601 ref appTerm 5714 def appTerm 5715 def nil cons 5716 def cons nil cons cons nil cons cons 5717 def 362 ref subst 5717 remove 412 ref subst 383 ref 5099 remove 1017 ref nil 5680 remove 347 ref 56 ref 5646 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 379 ref 5647 ref cons 5718 def nil cons nil cons cons 791 ref subst eqMp 5719 def appThm 5103 remove appThm 5152 remove trans appThm 5157 remove trans appThm 5720 def nil 4919 ref 5692 ref cons 5721 def 2844 ref 4010 ref cons 5722 def 1510 ref cons 5723 def cons nil cons cons 94 ref 4928 ref 56 ref 4934 ref 5599 remove 0 ref 57 ref 5617 remove cons opType constTerm 5724 def 2243 ref appTerm 5725 def 4929 ref appTerm appTerm appTerm 2403 ref 2245 ref appTerm 4935 ref appTerm appTerm absTerm 5726 def 4929 ref appTerm 5727 def betaConv 2242 ref 4940 ref 5726 ref appTerm 5728 def absTerm 5729 def 2243 ref appTerm 5730 def betaConv 66 ref 60 ref 5729 ref appTerm 5731 def absTerm 5732 def 408 ref appTerm 5733 def betaConv nil 60 ref 5732 ref appTerm 5734 def axiom nil 346 ref 5734 remove nil cons cons 347 ref 5733 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5732 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5731 remove nil cons cons 347 ref 5730 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5729 remove nil cons cons 2853 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5728 remove nil cons cons 347 ref 5727 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5726 remove nil cons cons 4949 ref cons nil cons cons 414 ref subst eqMp eqMp subst 5735 def subst 5629 ref 5719 remove appThm nil 1510 ref nil cons cons 94 ref 66 ref 38 ref 4934 ref 5166 ref appTerm 5736 def appTerm 5737 def absTerm 5738 def 408 ref appTerm 5739 def betaConv nil 60 ref 5738 ref appTerm 5740 def axiom nil 346 ref 5740 remove nil cons cons 347 ref 5739 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5738 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5737 remove nil cons cons 347 ref 56 ref 5736 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 379 ref 5736 remove nil cons cons nil cons nil cons cons 791 ref subst eqMp subst 5741 def subst 5742 def appThm 5158 ref 77 ref 56 ref 2403 ref 664 ref appTerm 78 ref appTerm appTerm 78 ref appTerm absTerm 5743 def 78 ref appTerm 5744 def betaConv nil 785 ref 5743 ref appTerm 5745 def axiom nil 346 ref 5745 remove nil cons cons 347 ref 5744 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5743 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 5746 def subst 5747 def trans trans appThm 5158 ref 77 ref 56 ref 784 ref 78 ref appTerm appTerm 820 remove appTerm absTerm 5748 def 78 ref appTerm 5749 def betaConv nil 785 ref 5748 ref appTerm 5750 def axiom nil 346 ref 5750 remove nil cons cons 347 ref 5749 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5748 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 5751 def subst 3162 ref trans 5752 def trans sym 81 ref eqMp eqMp nil 379 ref 5694 ref cons 5753 def 381 ref 5716 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 5687 ref 5715 remove appTerm nil cons cons 347 ref 5690 ref 5681 remove 5635 ref 5600 ref appTerm 5754 def appTerm 5755 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 5689 remove nil cons 5756 def cons 5757 def 347 ref 5755 remove nil cons 5758 def cons nil cons cons nil cons cons 5759 def 362 ref subst 5759 remove 412 ref subst 5720 remove 5742 ref appThm 5752 ref trans sym 81 ref eqMp eqMp nil 379 ref 5756 remove cons 5760 def 381 ref 5758 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 5679 ref cons 381 ref 5682 ref cons nil cons 5761 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 5648 remove 5683 remove cons nil cons cons 5762 def 362 ref subst 5762 remove 412 ref subst 56 ref "_33503" 16 ref var 5763 def 56 ref 24 ref 3387 ref 5763 remove varTerm 5764 def appTerm appTerm 24 ref 122 ref 5764 ref appTerm 2088 ref appTerm appTerm 4586 ref 1062 ref 5764 ref appTerm appTerm appTerm appTerm appTerm 4954 ref 5764 remove appTerm 5602 ref appTerm appTerm absTerm 5765 def 1161 ref appTerm 5766 def appTerm refl 5765 ref 2088 ref appTerm betaConv appThm 383 ref 5766 remove betaConv appThm 56 ref 24 ref 3387 ref 2088 ref appTerm appTerm 24 ref 122 ref 2088 ref appTerm 2088 ref appTerm appTerm 5578 ref appTerm appTerm appTerm 4954 ref 2088 ref appTerm 5767 def 5602 ref appTerm 5768 def appTerm refl appThm trans 5765 remove refl 5646 ref assume 5769 def appThm eqMp sym 383 ref 1017 ref nil 1442 ref 4010 ref cons 5770 def nil cons nil cons cons 5771 def 5334 ref subst 5772 def 839 ref 2758 ref 4004 ref subst 5773 def appThm 3162 ref trans 5774 def trans appThm 1017 ref nil 700 ref 4010 ref cons nil cons 5775 def nil cons cons 5776 def 2745 ref subst 5777 def appThm 5578 ref refl appThm nil 77 ref 5694 ref cons nil cons nil cons cons 5778 def 1026 ref subst 5779 def trans appThm 5779 remove trans appThm 5768 remove refl appThm sym 383 ref "_33561" 4560 ref var 5780 def 56 ref 5578 ref appTerm 5781 def 5767 ref 5780 remove varTerm appTerm appTerm absTerm 5782 def 5602 ref appTerm betaConv appThm 1017 ref 5688 ref 5782 ref 5601 ref appTerm betaConv appThm appThm 5691 ref 5782 ref 5600 ref appTerm betaConv appThm appThm appThm 5695 ref nil 5696 ref 5782 remove nil cons cons nil cons nil cons cons 5712 ref subst subst eqMp sym nil 5713 ref 347 ref 5781 ref 5767 ref 5601 ref appTerm 5783 def appTerm 5784 def nil cons 5785 def cons nil cons cons nil cons cons 5786 def 362 ref subst 5786 remove 412 ref subst 56 ref "_33563" 2 ref var 5787 def 56 ref 5787 remove varTerm appTerm 5783 ref appTerm absTerm 5788 def 5578 ref appTerm 5789 def appTerm refl 5788 ref 67 ref appTerm betaConv appThm 383 ref 5789 remove betaConv appThm 842 ref 5783 ref appTerm refl appThm trans 5788 remove refl 5778 remove 82 ref subst 5578 ref assume eqMp 5790 def appThm eqMp sym nil 77 ref 5783 remove nil cons cons nil cons nil cons cons 846 ref subst nil 5721 ref 5722 remove 5775 ref cons cons nil cons cons 5735 remove subst trans 5629 ref 5777 ref appThm 5776 ref 5741 ref subst 5791 def appThm 5158 ref 77 ref 56 ref 2403 ref 67 ref appTerm 78 ref appTerm appTerm 67 ref appTerm absTerm 5792 def 78 ref appTerm 5793 def betaConv nil 785 ref 5792 ref appTerm 5794 def axiom nil 346 ref 5794 remove nil cons cons 347 ref 5793 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 5792 remove nil cons cons 825 ref cons nil cons cons 414 ref subst eqMp eqMp 5795 def subst trans trans sym 81 ref eqMp eqMp eqMp nil 5753 ref 381 ref 5785 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 5687 ref 5784 remove appTerm nil cons cons 347 ref 5690 ref 5781 ref 5767 remove 5600 ref appTerm 5796 def appTerm 5797 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 5757 ref 347 ref 5797 remove nil cons 5798 def cons nil cons cons nil cons cons 5799 def 362 ref subst 5799 remove 412 ref subst 56 ref "_33565" 2 ref var 5800 def 56 ref 5800 remove varTerm appTerm 5796 ref appTerm absTerm 5801 def 5578 ref appTerm 5802 def appTerm refl 5801 ref 664 ref appTerm betaConv appThm 383 ref 5802 remove betaConv appThm 784 ref 5796 ref appTerm refl appThm trans 5801 remove refl nil 5757 ref 347 ref 5781 ref 664 ref appTerm 5803 def nil cons 5804 def cons nil cons cons nil cons cons 403 ref subst nil 5753 ref nil cons nil cons cons 791 ref subst eqMp 5805 def appThm eqMp sym nil 77 ref 5796 remove nil cons cons nil cons nil cons cons 5751 ref subst 839 ref 5791 remove appThm 3162 ref trans trans sym 81 ref eqMp eqMp eqMp nil 5760 ref 381 ref 5798 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 5718 ref 5761 remove cons nil cons cons 395 ref subst deductAntisym eqMp 5223 ref 5646 ref appTerm 5806 def betaConv 5226 ref nil 5227 ref 347 ref 5806 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 5228 ref 789 ref 5647 ref cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 5718 remove 381 ref 5679 remove cons 2464 ref 5682 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp appThm eqMp eqMp eqMp absThm eqMp eqMp appThm nil 346 ref 5587 ref 5604 ref appTerm nil cons cons 347 ref 122 ref 5604 ref appTerm 5807 def 5593 ref appTerm nil cons cons nil cons 5808 def cons nil cons cons 412 ref subst proveHyp 2844 ref 24 ref 5807 ref 2866 ref appTerm appTerm 5594 remove appTerm absTerm 5809 def 5592 remove 4561 ref 5602 ref appTerm 5810 def appTerm 5811 def appTerm betaConv sym 4917 ref 4999 remove 4992 remove 5590 ref appTerm 4998 remove appTerm appTerm absTerm 5812 def 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 1874 ref appTerm absTerm appTerm absTerm appTerm 5813 def appTerm betaConv sym 1017 ref 2758 ref 5007 ref subst appThm nil 4917 ref 5813 remove nil cons 5814 def cons 5615 ref cons nil cons cons 4951 remove subst 1432 ref 700 ref 96 ref 5631 ref appThm 383 ref 4956 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 1158 ref 1874 remove absTerm 5815 def 1161 ref appTerm betaConv 5816 def appThm absThm appThm absThm appThm appThm appThm 5815 ref 963 ref appTerm betaConv appThm nil 1823 ref 5815 remove nil cons cons nil cons nil cons cons 4969 ref subst eqMp appThm absThm appThm trans appThm nil 77 ref 19 ref 700 ref 23 ref 5012 remove 24 ref 5013 remove 1487 ref appTerm 5817 def appTerm 5015 remove appTerm 5818 def appTerm 5819 def appTerm 5817 ref appTerm 5820 def absTerm 5821 def appTerm nil cons cons nil cons nil cons cons 1026 ref subst trans sym nil 90 ref 5821 remove nil cons cons nil cons nil cons cons 95 ref subst 700 ref nil 77 ref 5820 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 5819 ref nil cons 5822 def cons 347 ref 5817 remove nil cons 5823 def cons nil cons cons nil cons cons 5824 def 362 ref subst 5824 remove 412 ref subst nil 5023 remove 381 ref 5818 remove nil cons cons nil cons cons nil cons cons 428 ref subst nil 379 ref 5823 ref cons 5024 remove cons nil cons cons 395 ref subst proveHyp eqMp nil 379 ref 5822 remove cons 381 ref 5823 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 5025 remove 5026 remove 5812 ref nil cons cons 5027 remove 5814 remove cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 5028 remove 5812 remove appTerm nil cons cons 347 ref 4995 ref 5590 ref appTerm 5825 def nil cons 5826 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5615 remove nil cons cons 5070 remove subst eqMp nil 346 ref 5826 remove cons 347 ref 24 ref 4995 ref 5602 ref appTerm 5827 def appTerm "Set.disjoint" const 5828 def 4991 ref constTerm 5590 ref appTerm 5602 ref appTerm 5829 def appTerm 5830 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 383 ref "_33573" 4560 ref var 5831 def 4995 ref 5831 remove varTerm appTerm absTerm 5832 def 5602 ref appTerm betaConv appThm 1017 ref 5688 ref 5832 ref 5601 ref appTerm betaConv appThm appThm 5691 ref 5832 ref 5600 ref appTerm betaConv appThm appThm appThm 5695 ref nil 5696 ref 5832 remove nil cons cons nil cons nil cons cons 5712 ref subst subst eqMp sym nil 5713 ref 347 ref 4995 ref 5601 ref appTerm 5833 def nil cons 5834 def cons nil cons cons nil cons cons 5835 def 362 ref subst 5835 remove 412 ref subst nil 5721 remove 5775 ref cons nil cons cons 94 ref 66 ref 56 ref 5029 ref 5724 remove 408 ref appTerm 5836 def 4929 ref appTerm appTerm appTerm 5035 ref appTerm absTerm 5837 def 408 ref appTerm 5838 def betaConv 4928 ref 60 ref 5837 ref appTerm 5839 def absTerm 5840 def 4929 ref appTerm 5841 def betaConv nil 4940 ref 5840 ref appTerm 5842 def axiom nil 346 ref 5842 remove nil cons cons 347 ref 5841 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5840 remove nil cons cons 4949 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5839 remove nil cons cons 347 ref 5838 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5837 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp subst subst 94 ref nil 77 ref 5029 remove 5166 ref appTerm 5843 def nil cons cons nil cons nil cons cons 82 ref subst nil 5843 remove axiom eqMp subst 5844 def trans sym 81 ref eqMp eqMp nil 5753 ref 381 ref 5834 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 5687 ref 5833 remove appTerm nil cons cons 347 ref 5690 ref 4995 ref 5600 ref appTerm 5845 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 5757 ref 347 ref 5845 remove nil cons 5846 def cons nil cons cons nil cons cons 5847 def 362 ref subst 5847 remove 412 ref subst 5844 remove sym 81 ref eqMp eqMp nil 5760 ref 381 ref 5846 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 346 ref 5827 remove nil cons cons 347 ref 5829 remove nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 5616 ref 94 ref 4922 ref 56 ref 5828 remove 4926 remove constTerm 4929 ref appTerm 4930 ref appTerm 5848 def appTerm 5164 remove "Set.intersect" const 5849 def 5618 remove constTerm 4929 ref appTerm 4930 ref appTerm 5850 def appTerm 5166 ref appTerm appTerm absTerm 5851 def 4930 ref appTerm 5852 def betaConv 4928 ref 4940 ref 5851 ref appTerm 5853 def absTerm 5854 def 4929 ref appTerm 5855 def betaConv nil 4940 ref 5854 ref appTerm 5856 def axiom nil 346 ref 5856 remove nil cons cons 347 ref 5855 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5854 remove nil cons cons 4949 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5853 remove nil cons cons 347 ref 5852 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5851 remove nil cons cons 4950 ref cons nil cons cons 414 ref subst eqMp eqMp subst subst nil 4917 ref 5692 remove cons 4919 ref 5849 remove 5598 remove constTerm 5590 remove appTerm 5602 ref appTerm nil cons cons nil cons cons nil cons cons 5613 ref subst trans 1432 ref 700 ref 383 ref 5616 ref 94 ref 66 ref 56 ref 4934 ref 5850 remove appTerm appTerm 24 ref 4935 ref appTerm 5857 def 4936 remove appTerm appTerm absTerm 5858 def 408 ref appTerm 5859 def betaConv 4922 ref 60 ref 5858 ref appTerm 5860 def absTerm 5861 def 4930 ref appTerm 5862 def betaConv 4928 ref 4940 ref 5861 ref appTerm 5863 def absTerm 5864 def 4929 ref appTerm 5865 def betaConv nil 4940 ref 5864 ref appTerm 5866 def axiom nil 346 ref 5866 remove nil cons cons 347 ref 5865 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5864 remove nil cons cons 4949 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5863 remove nil cons cons 347 ref 5862 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5861 remove nil cons cons 4950 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5860 remove nil cons cons 347 ref 5859 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5858 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp subst subst 1017 ref 5631 remove appThm 5633 remove appThm trans appThm 5741 remove appThm nil 77 ref 24 ref 5819 remove appTerm 5632 remove appTerm nil cons cons nil cons nil cons cons 826 ref subst trans absThm appThm trans sym nil 90 ref 1158 ref 38 ref 24 ref 5589 remove appTerm 5867 def 5636 remove appTerm appTerm 5868 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 5868 remove nil cons cons nil cons nil cons cons 82 ref subst 383 ref "_33579" 4560 ref var 5869 def 38 ref 5867 ref 5635 remove 5869 remove varTerm appTerm appTerm appTerm absTerm 5870 def 5602 ref appTerm betaConv appThm 1017 ref 5688 ref 5870 ref 5601 ref appTerm betaConv appThm appThm 5691 ref 5870 ref 5600 ref appTerm betaConv appThm appThm appThm 5695 ref nil 5696 ref 5870 remove nil cons cons nil cons nil cons cons 5712 ref subst subst eqMp sym nil 5713 ref 347 ref 38 ref 5867 ref 5714 remove appTerm appTerm 5871 def nil cons 5872 def cons nil cons cons nil cons cons 5873 def 362 ref subst 5873 remove 412 ref subst 839 ref 5867 ref refl 5874 def nil 5723 remove nil cons cons 94 ref 2242 ref 56 ref 4934 ref 5725 remove 5166 ref appTerm appTerm appTerm 2245 ref appTerm absTerm 5875 def 2243 ref appTerm 5876 def betaConv 66 ref 60 ref 5875 ref appTerm 5877 def absTerm 5878 def 408 ref appTerm 5879 def betaConv nil 60 ref 5878 ref appTerm 5880 def axiom nil 346 ref 5880 remove nil cons cons 347 ref 5879 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5878 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5877 remove nil cons cons 347 ref 5876 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5875 remove nil cons cons 2853 ref cons nil cons cons 414 ref subst eqMp eqMp subst subst appThm appThm sym nil 379 ref 5867 ref 5646 remove appTerm nil cons 5881 def cons 5882 def nil cons nil cons cons 667 ref subst nil 346 ref 5881 remove cons 669 ref cons nil cons cons 5883 def 362 ref subst 5883 remove 412 ref subst nil 379 ref 5671 ref cons 381 ref 5647 remove cons nil cons cons nil cons cons 5884 def 395 ref subst 5884 remove 428 ref subst nil 4977 remove 381 ref 5659 remove cons nil cons cons nil cons cons 428 ref subst nil 5570 remove 4981 remove cons nil cons cons 395 ref subst 56 ref "_33647" 16 ref var 5885 def 1612 ref 5885 remove varTerm appTerm 1487 ref appTerm absTerm 5886 def 1161 ref appTerm appTerm refl 5886 ref 2088 ref appTerm betaConv appThm 383 ref 5816 remove appThm 1612 ref 2088 ref appTerm 1487 ref appTerm 5887 def refl appThm trans 5886 remove refl 5769 remove appThm eqMp 5561 remove eqMp nil 346 ref 5887 remove nil cons 5888 def cons 669 ref cons nil cons cons 403 ref subst proveHyp nil 77 ref 5888 remove cons nil cons nil cons cons 838 ref subst nil 1971 ref 1308 ref 4010 ref cons nil cons 5889 def cons nil cons cons 5114 ref subst 2758 ref nil 77 ref 2488 remove cons nil cons nil cons cons 82 ref subst 2487 remove eqMp 5890 def subst trans trans sym 81 ref eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 5882 remove 852 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 5753 ref 381 ref 5872 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 5687 ref 5871 remove appTerm nil cons cons 347 ref 5690 ref 38 ref 5867 remove 5754 remove appTerm appTerm 5891 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 5757 ref 347 ref 5891 remove nil cons 5892 def cons nil cons cons nil cons cons 5893 def 362 ref subst 5893 remove 412 ref subst 839 ref 5874 remove 5742 remove appThm nil 77 ref 5671 remove cons nil cons nil cons cons 5156 ref subst trans appThm 3162 ref trans sym 81 ref eqMp eqMp nil 5760 ref 381 ref 5892 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 346 ref 24 ref 5825 remove appTerm 5830 remove appTerm nil cons cons 347 ref 5807 remove 5811 ref appTerm nil cons 5894 def cons nil cons cons nil cons cons 403 ref subst proveHyp 5616 remove 94 ref 4922 remove 23 ref 24 ref 5035 ref appTerm 5030 remove 5848 remove appTerm appTerm appTerm 122 ref 5075 ref 5619 remove appTerm appTerm 130 ref 5075 ref 4929 ref appTerm 5895 def appTerm 5075 ref 4930 ref appTerm appTerm appTerm appTerm absTerm 5896 def 4930 remove appTerm 5897 def betaConv 4928 ref 4940 ref 5896 ref appTerm 5898 def absTerm 5899 def 4929 ref appTerm 5900 def betaConv nil 4940 ref 5899 ref appTerm 5901 def axiom nil 346 ref 5901 remove nil cons cons 347 ref 5900 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5899 remove nil cons cons 4949 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5898 remove nil cons cons 347 ref 5897 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 5896 remove nil cons cons 4950 remove cons nil cons cons 414 ref subst eqMp eqMp subst subst eqMp nil 346 ref 5894 remove cons 347 ref 122 ref 5811 ref appTerm 5593 ref appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 1980 ref 5579 ref nil cons 5902 def cons 5903 def 1442 ref 5810 remove nil cons cons 1308 ref 5591 remove nil cons cons nil cons cons cons nil cons cons 2981 ref subst sym 383 ref "_33651" 4560 ref var 5904 def 122 ref 4561 ref 5904 remove varTerm appTerm appTerm 5579 ref appTerm absTerm 5905 def 5602 remove appTerm betaConv appThm 1017 ref 5688 remove 5905 ref 5601 ref appTerm betaConv appThm appThm 5691 remove 5905 ref 5600 ref appTerm betaConv appThm appThm appThm 5695 remove nil 5696 remove 5905 remove nil cons cons nil cons nil cons cons 5712 remove subst subst eqMp sym nil 5713 remove 347 ref 122 ref 4561 ref 5601 remove appTerm appTerm 5906 def 5579 ref appTerm 5907 def nil cons 5908 def cons nil cons cons nil cons cons 5909 def 362 ref subst 5909 remove 412 ref subst 56 ref "_33653" 2 ref var 5910 def 5906 ref 2197 ref 5910 remove varTerm appTerm 135 ref appTerm 134 ref appTerm appTerm absTerm 5911 def 5578 ref appTerm 5912 def appTerm refl 5911 ref 67 ref appTerm betaConv appThm 383 ref 5912 remove betaConv appThm 5906 remove 2197 ref 67 ref appTerm 135 ref appTerm 134 ref appTerm 5913 def appTerm refl appThm trans 5911 remove refl 5790 ref appThm eqMp sym 1519 ref 5776 remove 94 ref 66 ref 122 ref 5075 remove 5836 remove 5166 remove appTerm appTerm appTerm 135 ref appTerm absTerm 5914 def 408 ref appTerm 5915 def betaConv nil 60 ref 5914 ref appTerm 5916 def axiom nil 346 ref 5916 remove nil cons cons 347 ref 5915 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5914 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp subst subst appThm 3259 ref appThm nil 1507 ref nil cons cons 2745 ref subst 5917 def trans sym 81 ref eqMp eqMp eqMp nil 5753 remove 381 ref 5908 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 5687 remove 5907 remove appTerm nil cons cons 347 ref 5690 remove 122 ref 4561 ref 5600 remove appTerm appTerm 5918 def 5579 ref appTerm 5919 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 5757 remove 347 ref 5919 remove nil cons 5920 def cons nil cons cons nil cons cons 5921 def 362 ref subst 5921 remove 412 ref subst 56 ref "_33655" 2 ref var 5922 def 5918 ref 2197 ref 5922 remove varTerm appTerm 135 ref appTerm 134 ref appTerm appTerm absTerm 5923 def 5578 ref appTerm 5924 def appTerm refl 5923 ref 664 ref appTerm betaConv appThm 383 ref 5924 remove betaConv appThm 5918 remove 2197 ref 664 ref appTerm 135 ref appTerm 134 ref appTerm 5925 def appTerm refl appThm trans 5923 remove refl 5805 remove appThm eqMp sym 1519 ref 5168 ref appThm 3418 ref appThm 2764 ref trans sym 81 ref eqMp eqMp eqMp nil 5760 remove 381 ref 5920 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp 93 ref 90 ref 5809 ref nil cons cons 700 ref 5811 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 5809 remove appTerm nil cons cons 5808 remove cons nil cons cons 403 ref subst proveHyp nil "z" 16 ref var 5926 def 5593 ref nil cons cons 5927 def 700 ref 5604 remove nil cons cons nil cons 5928 def cons nil cons cons 94 ref "z" 57 ref var 5929 def 23 ref 866 ref 2242 ref 24 ref 2245 ref appTerm 2845 remove 5929 ref varTerm 5930 def appTerm appTerm 5931 def absTerm 5932 def appTerm 5933 def appTerm 5934 def 2244 remove 5930 ref appTerm 5935 def appTerm 5936 def absTerm 5937 def 5930 ref appTerm 5938 def betaConv 66 ref 60 ref 5937 ref appTerm 5939 def absTerm 5940 def 408 ref appTerm 5941 def betaConv nil 60 ref 66 ref 60 ref 2242 ref 60 ref 5929 ref 23 ref 5931 ref appTerm 5935 ref appTerm absTerm 5942 def appTerm 5943 def absTerm 5944 def appTerm 5945 def absTerm 5946 def appTerm 5947 def axiom nil 346 ref 5947 ref nil cons 5948 def cons 5949 def 347 ref 60 ref 5940 ref appTerm nil cons 5950 def cons nil cons cons nil cons cons 5951 def 403 ref subst proveHyp 5951 ref 362 ref subst 5951 remove 412 ref subst nil 61 ref 5940 remove nil cons cons 5952 def nil cons nil cons cons 75 ref subst 66 ref nil 77 ref 5939 remove nil cons 5953 def cons nil cons nil cons cons 82 ref subst nil 61 ref 5937 remove nil cons cons 5954 def nil cons nil cons cons 75 ref subst 5929 remove nil 77 ref 5936 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 5933 remove nil cons 5955 def cons 5956 def 347 ref 5935 ref nil cons 5957 def cons nil cons 5958 def cons nil cons cons 5959 def 362 ref subst 5959 remove 412 ref subst nil 5949 ref 5958 ref cons nil cons cons 5960 def 403 ref subst nil 5956 remove 347 ref 23 ref 5947 remove appTerm 5935 remove appTerm 5961 def nil cons 5962 def cons nil cons 5963 def cons nil cons cons 403 ref subst nil 61 ref 2242 ref 23 ref 5932 ref 2243 ref appTerm 5964 def appTerm 5961 ref appTerm 5965 def absTerm nil cons cons nil cons nil cons cons 75 ref subst 2242 ref nil 77 ref 5965 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 5964 ref nil cons 5966 def cons 5963 ref cons nil cons cons 5967 def 362 ref subst 5967 remove 412 ref subst 5964 ref betaConv 5964 remove assume eqMp nil 346 ref 5931 remove nil cons 5968 def cons 5969 def 5963 remove cons nil cons cons 5970 def 403 ref subst proveHyp 5970 ref 362 ref subst 5970 remove 412 ref subst 5960 ref 362 ref subst 5960 remove 412 ref subst nil 5969 remove 5958 remove cons nil cons cons 403 ref subst 5942 ref 5930 ref appTerm 5971 def betaConv 5944 ref 2243 ref appTerm 5972 def betaConv 5946 ref 408 ref appTerm 5973 def betaConv nil 5949 remove 347 ref 5973 remove nil cons cons nil cons cons nil cons cons 403 ref subst 813 ref 61 ref 5946 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5945 remove nil cons cons 347 ref 5972 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5944 remove nil cons cons 2853 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5943 remove nil cons cons 347 ref 5971 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5942 remove nil cons cons 66 ref 5930 remove nil cons cons nil cons 5974 def cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 5948 remove cons 5975 def 381 ref 5957 remove cons nil cons 5976 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 5968 remove cons 381 ref 5962 remove cons nil cons 5977 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 5966 remove cons 5977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 60 ref "x'" 57 remove var 5978 def 23 ref 5932 ref 5978 remove varTerm appTerm appTerm 5961 ref appTerm absTerm appTerm nil cons cons 347 ref 5934 remove 5961 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 5932 remove nil cons cons 5977 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 5955 remove cons 5976 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 5975 remove 381 ref 5950 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 5950 remove cons 347 ref 5941 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 5952 remove 1156 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5953 remove cons 347 ref 5938 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 5954 remove 5974 remove cons nil cons cons 414 ref subst eqMp eqMp subst 5979 def subst eqMp eqMp eqMp 93 ref 90 ref 5595 ref nil cons cons 5928 remove cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 5595 remove appTerm nil cons cons 347 ref 5587 remove 5593 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5927 remove 700 ref 5586 remove nil cons cons nil cons cons nil cons cons 5979 ref subst eqMp eqMp eqMp 1158 ref 23 ref 1406 ref 162 ref appTerm 5980 def appTerm 108 ref 1054 ref 205 ref 1161 ref appTerm 5981 def 1057 ref appTerm 5982 def absTerm appTerm appTerm absTerm 5983 def 131 ref appTerm 5984 def betaConv 1554 remove 161 ref appTerm 5985 def betaConv 1557 remove nil 1558 remove 347 ref 5985 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1559 remove 5471 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 5983 ref appTerm nil cons cons 347 ref 5984 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5983 remove nil cons cons 1508 ref cons nil cons cons 414 ref subst eqMp eqMp 5986 def nil 346 ref 23 ref 1400 ref 131 ref appTerm 5987 def 162 ref appTerm 5988 def appTerm 108 ref 1054 ref 205 ref 131 ref appTerm 5989 def 1057 ref appTerm 5990 def absTerm 5991 def appTerm 5992 def appTerm 5993 def nil cons cons 5575 ref cons nil cons cons 403 ref subst proveHyp 5987 ref refl 5994 def 164 remove assume 5995 def 132 ref refl 1941 ref appThm trans appThm nil 1948 remove 1425 ref cons nil cons cons 1442 ref 56 ref 1450 ref 1523 ref appTerm appTerm 5330 remove appTerm absTerm 5996 def 1447 ref appTerm 5997 def betaConv 1308 ref 19 ref 5996 ref appTerm 5998 def absTerm 5999 def 1310 ref appTerm 6000 def betaConv nil 19 ref 5999 ref appTerm 6001 def axiom nil 346 ref 6001 remove nil cons cons 347 ref 6000 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5999 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5998 remove nil cons cons 347 ref 5997 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5996 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 6002 def subst 1934 ref 3399 ref subst trans trans sym 81 ref eqMp 6003 def nil 346 ref 5988 ref nil cons cons 6004 def 347 ref 23 ref 5992 ref appTerm 5573 ref appTerm 6005 def nil cons cons nil cons 6006 def cons nil cons cons 412 ref subst proveHyp nil 5 ref "cr2" 1 ref var 6007 def 23 ref 5991 ref 6007 ref varTerm 6008 def appTerm 6009 def appTerm 5573 ref appTerm 6010 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 6007 ref nil 77 ref 6010 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 6009 ref nil cons 6011 def cons 5575 ref cons nil cons cons 6012 def 362 ref subst 6012 remove 412 ref subst 6009 ref betaConv 6009 remove assume eqMp 6013 def nil 346 ref 5989 ref 6008 ref appTerm 6014 def nil cons 6015 def cons 6016 def 5575 remove cons nil cons cons 6017 def 403 ref subst proveHyp 6017 ref 362 ref subst 6017 remove 412 ref subst 716 ref 5525 ref appTerm 6018 def betaConv 746 ref nil 747 ref 347 ref 6018 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 748 ref 700 ref 5525 ref nil cons 6019 def cons nil cons 6020 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 704 ref 56 ref 5534 ref appTerm 6021 def 707 ref 28 ref 5525 ref appTerm 6022 def appTerm 709 ref 5525 ref appTerm 6023 def appTerm 6024 def 712 ref 5525 ref appTerm 6025 def appTerm appTerm appTerm nil cons cons 347 ref 6021 ref 2403 ref 4862 ref appTerm 6026 def 26 ref 6008 ref appTerm 6027 def 1905 ref appTerm 6028 def appTerm 6029 def appTerm 6030 def nil cons 6031 def cons nil cons 6032 def cons nil cons cons 403 ref subst proveHyp 96 ref 751 ref 6021 ref refl 753 ref 96 ref 5771 remove 3627 ref subst appThm 56 ref 6022 ref appTerm 6033 def refl 5773 remove appThm nil 77 ref 6022 ref nil cons 6034 def cons nil cons nil cons cons 826 ref subst trans appThm nil 77 ref 38 ref 6022 ref appTerm 6035 def nil cons 6036 def cons nil cons nil cons cons 833 ref subst trans 5520 remove 2088 ref appTerm 6037 def betaConv nil 5552 remove 347 ref 6037 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 5569 remove 5775 remove cons nil cons cons 414 ref subst eqMp eqMp eqMp 6038 def nil 346 ref 6036 ref cons 6039 def 347 ref 6033 remove 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst 6040 def proveHyp nil 379 ref 6034 remove cons nil cons nil cons cons 791 ref subst 6041 def eqMp 6042 def appThm 6023 ref refl appThm 6043 def 6025 ref refl appThm nil 794 ref 6025 ref nil cons cons 796 ref 6023 remove nil cons cons nil cons 6044 def cons nil cons cons 798 ref 3417 ref subst 6045 def subst trans appThm appThm nil 77 ref 6021 remove 6025 ref appTerm 6046 def nil cons 6047 def cons nil cons nil cons cons 833 ref subst trans appThm 6030 ref refl appThm sym nil 346 ref 6047 ref cons 6032 remove cons nil cons cons 6048 def 362 ref subst 6048 remove 412 ref subst 56 ref "_33659" 2 ref var 6049 def 56 ref 6049 remove varTerm appTerm 6029 ref appTerm absTerm 6050 def 5534 ref appTerm 6051 def appTerm refl 6050 ref 6025 ref appTerm betaConv 6052 def appThm 383 ref 6051 remove betaConv appThm 56 ref 6025 ref appTerm 6053 def 6029 ref appTerm 6054 def refl 6055 def appThm trans 6050 remove refl 6056 def 6046 remove assume appThm eqMp sym 20 ref 23 ref 235 ref appTerm 6057 def 56 ref 713 remove appTerm 2403 ref 26 ref 231 ref appTerm 6058 def 29 ref appTerm appTerm 6059 def 26 ref 192 ref appTerm 6060 def 29 ref appTerm appTerm 6061 def appTerm appTerm absTerm 6062 def 5525 ref appTerm 6063 def betaConv 718 ref 19 ref 20 ref 23 ref 233 remove 719 ref appTerm appTerm 720 ref 6061 remove appTerm appTerm absTerm appTerm absTerm 6064 def 234 ref appTerm 6065 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 232 remove 678 ref appTerm 719 ref appTerm appTerm 720 ref 6059 remove 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6066 def 192 ref appTerm 6067 def betaConv 404 ref 14 ref 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 230 ref 684 ref appTerm 678 ref appTerm 719 ref appTerm 6068 def appTerm 720 ref 2403 ref 689 ref appTerm 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6069 def 231 ref appTerm 6070 def betaConv nil 14 ref 6069 ref appTerm 6071 def axiom 6072 def nil 346 ref 6071 remove nil cons cons 6073 def 347 ref 6070 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6069 ref nil cons cons 6074 def 404 ref 231 ref nil cons cons nil cons 6075 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 6066 ref appTerm nil cons cons 347 ref 6067 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6066 remove nil cons cons 404 ref 192 ref nil cons 6076 def cons nil cons 6077 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 6064 ref appTerm nil cons cons 347 ref 6065 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6064 remove nil cons cons 745 remove cons nil cons cons 414 ref subst eqMp eqMp 6078 def nil 346 ref 19 ref 6062 ref appTerm nil cons cons 6079 def 347 ref 6063 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6062 ref nil cons cons 6080 def 6020 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6057 ref 6053 remove 2403 ref 6058 ref 5525 ref appTerm appTerm 6060 ref 5525 ref appTerm appTerm 6081 def appTerm 6082 def appTerm nil cons cons 347 ref 6054 remove nil cons 6083 def cons nil cons 6084 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 639 ref cons nil cons nil cons cons 82 ref subst 235 remove assume eqMp appThm 6085 def 6082 ref refl appThm nil 77 ref 6082 ref nil cons 6086 def cons nil cons nil cons cons 833 ref subst trans appThm 6055 remove appThm sym nil 346 ref 6086 ref cons 6084 remove cons nil cons cons 6087 def 362 ref subst 6087 remove 412 ref subst 56 ref "_33661" 2 ref var 6088 def 56 ref 6088 remove varTerm appTerm 6029 ref appTerm absTerm 6089 def 6025 remove appTerm appTerm refl 6089 remove 6081 ref appTerm betaConv appThm 383 ref 6052 remove appThm 56 ref 6081 remove appTerm 6029 ref appTerm refl appThm trans 6056 remove 6082 remove assume appThm eqMp sym 383 ref 5629 ref 6058 ref refl 6090 def nil 1971 ref 1309 ref cons nil cons cons 6091 def 1669 ref subst 6092 def appThm appThm 6060 ref refl 6093 def 6092 ref appThm appThm appThm 6029 ref refl 6094 def appThm sym 383 ref 5629 ref 6090 ref nil 1308 ref 4860 ref cons nil cons nil cons cons 6095 def 1673 ref subst 6096 def appThm appThm 6093 ref 6096 ref appThm appThm appThm 6094 remove appThm sym 20 ref 23 ref 272 ref appTerm 6097 def 56 ref 6058 ref 1791 ref appTerm appTerm 673 ref appTerm appTerm absTerm 6098 def 1905 ref appTerm 6099 def betaConv 677 ref 19 ref 20 ref 23 ref 271 ref 678 ref appTerm appTerm 1792 ref 673 remove appTerm appTerm absTerm appTerm absTerm 6100 def 231 remove appTerm 6101 def betaConv 1803 ref 258 ref appTerm 6102 def betaConv 1805 ref nil 1807 ref 347 ref 6102 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 696 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 6100 ref appTerm nil cons cons 347 ref 6101 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6100 remove nil cons cons 6075 remove cons nil cons cons 414 ref subst eqMp eqMp 6103 def nil 346 ref 19 ref 6098 ref appTerm nil cons cons 6104 def 347 ref 6099 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6098 ref nil cons cons 6105 def 4861 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6097 ref 56 ref 6058 ref 130 ref 1905 ref appTerm 135 ref appTerm 6106 def appTerm 6107 def appTerm 4862 ref appTerm 6108 def appTerm nil cons cons 347 ref 56 ref 2403 ref 6107 ref appTerm 6060 ref 6106 ref appTerm 6109 def appTerm appTerm 6029 ref appTerm 6110 def nil cons 6111 def cons nil cons 6112 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 4855 ref cons nil cons nil cons cons 82 ref subst 272 ref assume eqMp appThm 6113 def 6108 ref refl appThm nil 77 ref 6108 ref nil cons 6114 def cons nil cons nil cons cons 833 ref subst trans appThm 6110 remove refl appThm sym nil 346 ref 6114 ref cons 6112 remove cons nil cons cons 6115 def 362 ref subst 6115 remove 412 ref subst 56 ref "_33663" 2 ref var 6116 def 56 ref 2403 ref 6116 remove varTerm appTerm 6109 ref appTerm appTerm 6029 ref appTerm absTerm 6117 def 6107 remove appTerm 6118 def appTerm refl 6117 ref 4862 ref appTerm betaConv appThm 383 ref 6118 remove betaConv appThm 56 ref 6026 ref 6109 ref appTerm appTerm 6029 ref appTerm refl appThm trans 6117 remove refl 6108 remove assume appThm eqMp sym 6026 remove refl 415 ref 101 ref 1477 ref 99 ref 1158 ref 1676 ref 24 ref 1162 ref 6008 ref appTerm appTerm 6119 def 1479 ref 192 ref appTerm 6120 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6121 def 161 ref appTerm betaConv sym 1477 ref 99 ref 1158 ref 24 ref 267 ref 1478 ref appTerm 6122 def appTerm 6123 def 24 ref 5981 ref 6008 ref appTerm appTerm 6124 def 6120 remove appTerm appTerm absTerm appTerm absTerm 6125 def 143 ref appTerm betaConv sym 1158 ref 269 ref 6124 ref 180 ref 1161 ref appTerm 6126 def 192 ref appTerm appTerm appTerm absTerm 6127 def 131 ref appTerm betaConv sym 1017 ref nil 77 ref 4853 ref cons nil cons nil cons cons 82 ref subst 268 ref assume eqMp appThm 6128 def 1017 ref nil 77 ref 6015 ref cons nil cons nil cons cons 82 ref subst 6014 ref assume 6129 def eqMp appThm 6130 def nil 77 ref 615 ref cons nil cons nil cons cons 82 ref subst 193 ref assume 6131 def eqMp appThm 1030 ref trans appThm 1030 ref trans 6132 def sym 81 ref eqMp eqMp 93 ref 90 ref 6127 remove nil cons cons 1508 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 6125 remove nil cons cons 415 ref 143 ref nil cons cons 6133 def nil cons 6134 def cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 6121 ref nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 6121 remove appTerm nil cons cons 347 ref 270 ref 6008 ref appTerm 6135 def 192 ref appTerm 6136 def nil cons 6137 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1567 ref 6076 ref cons 1160 ref 6008 ref nil cons 6138 def cons nil cons cons nil cons cons 1789 ref subst eqMp nil 346 ref 6137 ref cons 6139 def 347 ref 56 ref 6109 ref appTerm 6028 ref appTerm nil cons 6140 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 404 ref 6138 ref cons 6141 def 20 ref 4860 remove cons 6142 def 677 ref 6076 ref cons nil cons cons cons nil cons cons 1819 ref subst eqMp 6143 def appThm eqMp eqMp nil 379 ref 6114 remove cons 381 ref 6111 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 6086 remove cons 381 ref 6083 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 6047 remove cons 381 ref 6031 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp 56 ref "_33657" 2 ref var 6144 def 5572 ref 5524 ref 5533 ref 38 ref 6144 remove varTerm 6145 def appTerm 6146 def appTerm appTerm 99 ref 5254 ref 5536 ref 5263 ref 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 5275 ref 5280 ref 5283 ref 5539 ref 5541 ref 6146 remove appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 6145 remove appTerm appTerm absTerm appTerm appTerm appTerm absTerm 6147 def 5534 remove appTerm 6148 def appTerm refl 6147 ref 6029 ref appTerm betaConv appThm 383 ref 6148 remove betaConv appThm 5572 remove 5524 remove 5533 remove 38 ref 6029 ref appTerm 6149 def appTerm 6150 def appTerm 99 ref 5254 ref 5536 ref 5263 ref 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 5275 ref 5280 ref 5283 ref 5539 ref 5541 ref 6149 remove appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 6029 remove appTerm appTerm absTerm 6151 def appTerm 6152 def appTerm 6153 def appTerm refl appThm trans 6147 remove refl 6030 remove assume appThm eqMp sym 383 ref "_33665" 2 ref var 6154 def 23 ref 6154 remove varTerm appTerm 6153 ref appTerm absTerm 6155 def 5309 ref appTerm betaConv appThm 1017 ref 23 ref 5235 ref appTerm 6156 def refl 6157 def 6155 ref 5253 ref appTerm betaConv appThm appThm 23 ref 38 ref 5235 ref appTerm 6158 def appTerm 6159 def refl 6160 def 6155 ref 5308 ref appTerm betaConv appThm appThm appThm nil "_485" 2 ref var 6161 def 5308 ref nil cons cons "_482" 2 ref var 6162 def 5253 ref nil cons 6163 def cons 5693 ref 5235 ref nil cons 6164 def cons nil cons cons cons nil cons cons 6165 def nil "_484" 21 remove var 6166 def 6155 remove nil cons cons nil cons nil cons cons 798 remove 5711 remove subst 6167 def subst subst eqMp sym nil 346 ref 6164 ref cons 6168 def 347 ref 23 ref 5253 ref appTerm 6169 def 6153 ref appTerm 6170 def nil cons 6171 def cons nil cons cons nil cons cons 6172 def 362 ref subst 6172 remove 412 ref subst nil 346 ref 6163 ref cons 6173 def 347 ref 6153 ref nil cons 6174 def cons nil cons 6175 def cons nil cons cons 6176 def 362 ref subst 6176 remove 412 ref subst nil 379 ref 5251 ref nil cons cons 381 ref 5252 ref nil cons 6177 def cons nil cons 6178 def cons nil cons cons 6179 def 395 ref subst 6179 remove 428 ref subst 6180 def nil 379 ref 6028 ref nil cons 6181 def cons 6182 def nil cons nil cons cons 6183 def 667 remove subst 6184 def nil 346 ref 6181 ref cons 669 ref cons nil cons cons 6185 def 362 ref subst 6186 def 6185 remove 412 ref subst 6187 def 20 ref 23 ref 24 ref 6014 ref appTerm 6188 def 6027 ref 29 ref appTerm 6189 def appTerm appTerm 1612 ref 1898 ref 131 ref appTerm 6190 def appTerm 6191 def 5380 ref appTerm 6192 def appTerm absTerm 6193 def 1905 ref appTerm 6194 def betaConv 1054 ref 19 ref 20 ref 23 ref 24 ref 5990 remove appTerm 1067 ref appTerm appTerm 6192 remove appTerm absTerm appTerm absTerm 6195 def 6008 ref appTerm 6196 def betaConv 1158 ref 14 ref 1054 ref 19 ref 20 ref 23 ref 24 ref 5982 remove appTerm 1067 ref appTerm appTerm 1612 ref 1898 ref 1161 ref appTerm appTerm 6197 def 5380 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6198 def 131 ref appTerm 6199 def betaConv 415 ref 19 ref 1158 ref 14 ref 1054 ref 19 ref 20 ref 23 ref 24 ref 1405 ref appTerm 1067 ref appTerm 6200 def appTerm 6197 remove 1886 ref 2063 ref appTerm 6201 def appTerm 6202 def appTerm absTerm 6203 def appTerm 6204 def absTerm 6205 def appTerm 6206 def absTerm 6207 def appTerm 6208 def absTerm 6209 def 161 ref appTerm 6210 def betaConv nil 11 ref 6209 ref appTerm 6211 def axiom 6212 def nil 346 ref 6211 ref nil cons 6213 def cons 6214 def 347 ref 6210 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6209 ref nil cons cons 6215 def 5471 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 6198 ref appTerm nil cons cons 347 ref 6199 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6198 remove nil cons cons 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 6195 ref appTerm nil cons cons 347 ref 6196 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6195 remove nil cons cons 6141 remove nil cons 6216 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 6193 ref appTerm nil cons cons 347 ref 6194 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6193 remove nil cons cons 4861 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 6188 ref 6028 ref appTerm appTerm 6191 remove 5244 ref appTerm 6217 def appTerm nil cons 6218 def cons 669 ref cons nil cons cons 403 ref subst proveHyp nil 77 ref 6218 remove cons nil cons nil cons cons 838 ref subst 839 ref 96 ref 6130 ref nil 77 ref 6181 ref cons nil cons nil cons cons 6219 def 82 ref subst 6028 ref assume eqMp 6220 def appThm 1030 ref trans appThm 6217 ref refl appThm nil 77 ref 6217 remove nil cons cons nil cons nil cons cons 833 ref subst trans appThm nil 1442 ref 5244 ref nil cons cons 6221 def 1308 ref 6190 ref nil cons 6222 def cons nil cons cons nil cons cons 5114 ref subst trans trans sym 1432 ref 1442 ref 1432 ref 1980 ref 56 ref 1400 ref 5240 ref 3640 ref appTerm 6223 def 1447 ref appTerm appTerm 6223 remove 1986 ref appTerm appTerm appTerm 6224 def refl 1017 ref 839 ref 1522 ref 4004 ref subst 6225 def appThm 3162 ref trans appThm 2031 ref refl 6226 def appThm nil 77 ref 2031 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm absThm appThm absThm appThm 1308 ref 19 ref 1442 ref 19 ref 1980 ref 56 ref 1400 ref 5511 ref 1447 ref appTerm 6227 def appTerm 5511 ref 1986 ref appTerm 6228 def appTerm appTerm 24 ref 38 ref 3563 remove appTerm appTerm 2031 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6229 def 3640 ref appTerm 6230 def betaConv nil 19 ref 6229 ref appTerm 6231 def axiom nil 346 ref 6231 remove nil cons cons 347 ref 6230 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6229 remove nil cons cons 700 ref 3641 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp eqMp nil 346 ref 19 ref 1442 ref 19 ref 1980 ref 6224 remove 2031 ref appTerm absTerm appTerm absTerm appTerm 6232 def nil cons 6233 def cons 347 ref 1400 ref 5244 ref appTerm 6190 ref appTerm nil cons 6234 def cons nil cons cons nil cons cons 6235 def 403 ref subst proveHyp 6235 ref 362 ref subst 6235 remove 412 ref subst nil 1980 ref 6222 ref cons 6221 ref nil cons cons nil cons cons 1980 ref 56 ref 2031 ref appTerm 6236 def 1400 ref 5241 ref 1447 ref appTerm 6237 def appTerm 5241 ref 1986 ref appTerm appTerm 6238 def appTerm 6239 def absTerm 6240 def 1986 ref appTerm 6241 def betaConv 1442 ref 19 ref 6240 ref appTerm 6242 def absTerm 6243 def 1447 ref appTerm 6244 def betaConv 1432 ref 1442 ref 1432 ref 1980 ref 6239 remove assume sym 56 ref 6238 remove appTerm 2031 ref appTerm assume sym deductAntisym absThm appThm absThm appThm 1432 ref 1442 ref 1432 ref 1980 ref 383 ref 2536 ref 5240 remove refl 122 ref 3640 ref appTerm 1895 ref appTerm assume sym 122 ref 1895 remove appTerm 6245 def 3640 ref appTerm assume sym deductAntisym 1519 ref 1945 ref appThm 1939 ref 1941 ref appThm appThm nil 700 ref 3241 remove nil cons cons nil cons nil cons cons 2745 ref subst trans sym 81 ref eqMp 6246 def eqMp appThm 6247 def 2263 ref appThm appThm 6247 remove 1986 ref refl appThm appThm appThm 6226 remove appThm absThm appThm absThm appThm 6232 remove assume eqMp eqMp nil 346 ref 19 ref 6243 ref appTerm nil cons cons 347 ref 6244 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6243 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6242 remove nil cons cons 347 ref 6241 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6240 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp subst sym 1400 ref 5245 ref appTerm refl nil 1443 ref 5509 ref cons nil cons cons 6248 def 1442 ref 122 ref 5511 ref 1897 ref 1310 ref appTerm 6249 def 1447 ref appTerm appTerm 6250 def appTerm 6249 remove 1448 ref appTerm 6251 def appTerm 6252 def absTerm 6253 def 1447 ref appTerm 6254 def betaConv 1308 ref 19 ref 6253 ref appTerm 6255 def absTerm 6256 def 1310 ref appTerm 6257 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 6252 remove assume sym 122 ref 6251 remove appTerm 6250 remove appTerm 6258 def assume sym deductAntisym absThm appThm absThm appThm nil 19 ref 1308 ref 19 ref 1442 ref 6258 remove absTerm 6259 def appTerm 6260 def absTerm 6261 def appTerm 6262 def axiom 6263 def eqMp nil 346 ref 19 ref 6256 ref appTerm nil cons cons 347 ref 6257 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6256 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6255 remove nil cons cons 347 ref 6254 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6253 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst 6264 def 2062 ref 1426 ref 1673 ref subst appThm trans appThm sym nil 1980 ref 5364 ref cons 1442 ref 5245 ref nil cons 6265 def cons 6266 def nil cons 6267 def cons nil cons cons 1980 ref 6236 ref 1400 ref 1525 ref 5234 ref appTerm appTerm 2029 ref 5234 ref appTerm appTerm 6268 def appTerm 6269 def absTerm 6270 def 1986 ref appTerm 6271 def betaConv 1442 ref 19 ref 6270 ref appTerm 6272 def absTerm 6273 def 1447 ref appTerm 6274 def betaConv 1432 ref 1442 ref 1432 ref 1980 ref 6269 remove assume sym 56 ref 6268 remove appTerm 2031 ref appTerm assume sym deductAntisym absThm appThm absThm appThm 2038 ref 5234 ref appTerm 6275 def betaConv 2041 ref nil 2042 ref 347 ref 6275 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 2043 ref 700 ref 5234 ref nil cons 6276 def cons nil cons 6277 def cons nil cons cons 414 ref subst eqMp eqMp eqMp nil 346 ref 19 ref 6273 ref appTerm nil cons cons 347 ref 6274 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6273 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6272 remove nil cons cons 347 ref 6271 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6270 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp subst sym 1400 ref 5246 ref 5234 ref appTerm 6278 def appTerm 6279 def refl 6280 def 5251 remove assume 6281 def sym appThm sym 6280 remove nil 1980 ref 1460 remove cons 6282 def 6266 remove 1308 ref 5238 remove nil cons cons 6283 def nil cons cons 6284 def cons nil cons cons 6285 def 2148 ref subst appThm sym "n'" 16 ref var 6286 def 24 ref 6279 ref 6286 ref varTerm 6287 def appTerm appTerm 1612 ref 6287 ref appTerm 6288 def 130 ref 5239 ref 5245 ref appTerm 6289 def appTerm 6290 def 1447 ref appTerm 6291 def appTerm appTerm absTerm 6292 def 5247 ref appTerm betaConv sym 1017 ref nil 6282 ref 1442 ref 6276 ref cons 6293 def 1308 ref 6265 ref cons nil cons cons cons nil cons cons 1980 ref 56 ref 1400 ref 1523 ref appTerm 1997 remove appTerm appTerm 2031 ref appTerm absTerm 6294 def 1986 ref appTerm 6295 def betaConv 1442 ref 19 ref 6294 ref appTerm 6296 def absTerm 6297 def 1447 ref appTerm 6298 def betaConv 1308 ref 19 ref 6297 ref appTerm 6299 def absTerm 6300 def 1310 ref appTerm 6301 def betaConv nil 19 ref 6300 ref appTerm 6302 def axiom nil 346 ref 6302 remove nil cons cons 347 ref 6301 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6300 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6299 remove nil cons cons 347 ref 6298 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6297 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6296 remove nil cons cons 347 ref 6295 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6294 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp subst nil 77 ref 6164 ref cons nil cons nil cons cons 82 ref subst 5235 ref assume 6303 def eqMp 6304 def trans appThm nil 1980 ref 6289 ref nil cons 6305 def cons 1949 remove 6267 ref cons cons nil cons cons 3522 remove subst nil 6283 remove 6267 remove cons nil cons cons 3076 ref subst trans appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 6292 ref nil cons cons 700 ref 5247 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 6292 remove appTerm nil cons cons 347 ref 6279 remove 6291 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 ref 6291 remove nil cons 6306 def cons 1308 ref 6278 remove nil cons cons nil cons cons nil cons cons 3815 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 6233 remove cons 381 ref 6234 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 6182 remove 852 ref cons nil cons cons 395 ref subst 6307 def deductAntisym eqMp eqMp 753 ref 2536 ref 122 ref 5522 ref appTerm 130 ref 5234 ref appTerm 6308 def 5579 ref appTerm 6309 def appTerm 6310 def assume 6311 def appThm 2263 ref appThm appThm 1017 ref 5532 ref refl 5363 remove 6311 ref appThm appThm appThm 839 ref 5629 ref nil 346 ref 6177 ref cons 6312 def 347 ref 4869 ref 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 379 ref 4862 ref nil cons 6313 def cons 6314 def nil cons nil cons cons 791 ref subst eqMp 6315 def appThm 6316 def nil 346 ref 38 ref 6028 ref appTerm 6317 def nil cons cons 6318 def 347 ref 56 ref 6028 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst 6183 remove 791 ref subst eqMp 6319 def appThm 5747 ref trans 6320 def appThm 3162 ref trans 6321 def appThm nil 77 ref 5532 remove 5249 ref 6309 ref appTerm 6322 def appTerm 6323 def nil cons 6324 def cons nil cons nil cons cons 1690 ref subst trans appThm 2071 ref 5254 ref 5536 ref refl 5370 remove 4748 ref 5264 ref 4748 ref 5265 ref 3913 ref 5266 ref 5371 remove 5372 remove 5373 remove 5539 ref refl 5541 remove refl 6321 remove appThm nil 77 ref 5540 ref nil cons cons nil cons nil cons cons 1690 ref subst trans appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm appThm 6320 remove appThm appThm absThm appThm appThm sym 5394 remove 5525 ref appTerm 6325 def betaConv 5422 remove nil 5423 remove 347 ref 6325 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 5424 remove 6020 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5384 ref 4110 ref 5526 remove appTerm 6326 def 5387 ref 6022 remove appTerm 6327 def 1890 ref 5525 ref appTerm 6328 def appTerm 5390 remove 5525 ref appTerm 6329 def appTerm appTerm appTerm nil cons cons 347 ref 122 ref 5528 remove 5531 ref appTerm 6330 def appTerm 6331 def 5239 ref 5246 ref 5579 ref appTerm appTerm 6332 def appTerm 6333 def nil cons 6334 def cons nil cons 6335 def cons nil cons cons 403 ref subst proveHyp 96 ref 5427 remove 6326 ref refl 5428 ref 6042 remove appThm 6336 def 6328 ref refl appThm 6329 ref refl appThm nil 5437 ref 6329 ref nil cons cons 5438 ref 6328 remove nil cons cons nil cons cons nil cons cons 4530 remove 3417 remove subst 6337 def subst trans appThm appThm nil 77 ref 6326 remove 6329 ref appTerm 6338 def nil cons 6339 def cons nil cons nil cons cons 833 ref subst trans appThm 6333 ref refl appThm sym nil 346 ref 6339 ref cons 6335 ref cons nil cons cons 6340 def 362 ref subst 6340 remove 412 ref subst 5457 remove 5525 ref appTerm 6341 def betaConv 5472 remove nil 5473 remove 347 ref 6341 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 5474 remove 6020 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 5448 remove 4110 ref 5529 remove appTerm 6342 def 6327 ref 5450 remove 5525 ref appTerm 6343 def appTerm 5453 remove 5525 ref appTerm 6344 def appTerm appTerm appTerm nil cons cons 6335 remove cons nil cons cons 403 ref subst proveHyp 96 ref 5479 remove 6342 ref refl 6336 remove 6343 ref refl appThm 6344 ref refl appThm nil 5437 ref 6344 ref nil cons cons 5438 ref 6343 remove nil cons cons nil cons cons nil cons cons 6337 ref subst trans appThm appThm nil 77 ref 6342 remove 6344 ref appTerm 6345 def nil cons 6346 def cons nil cons nil cons cons 833 ref subst trans appThm 1519 ref 2897 ref 5361 ref 6338 remove assume appThm appThm 5531 ref refl appThm appThm 6332 ref refl 6347 def appThm appThm sym nil 346 ref 6346 ref cons 347 ref 122 ref 130 ref 1886 ref 6329 remove appTerm appTerm 6348 def 5531 ref appTerm appTerm 6332 ref appTerm nil cons 6349 def cons nil cons cons nil cons cons 6350 def 362 ref subst 6350 remove 412 ref subst 1519 ref 6348 remove refl 5362 ref 5361 ref 6345 remove assume appThm appThm appThm appThm 6347 ref appThm sym nil 5418 remove 1477 ref 4277 ref 4278 ref 4650 ref appTerm 6351 def appTerm 4655 ref appTerm 6352 def nil cons cons nil cons cons nil cons cons 1477 ref 56 ref 4287 ref 1478 ref appTerm 6353 def 857 ref appTerm 6354 def appTerm 1213 remove 1078 ref appTerm 1478 ref appTerm 6355 def appTerm 6356 def absTerm 6357 def 1478 ref appTerm 6358 def betaConv 415 ref 11 ref 6357 ref appTerm 6359 def absTerm 6360 def 857 ref appTerm 6361 def betaConv 4261 ref 415 ref 4261 ref 1477 ref 6356 remove assume sym 56 ref 6355 remove appTerm 6354 remove appTerm 6362 def assume sym deductAntisym absThm appThm absThm appThm nil 11 ref 415 ref 11 ref 1477 ref 6362 remove absTerm appTerm absTerm 6363 def appTerm 6364 def axiom 6365 def eqMp nil 346 ref 11 ref 6360 ref appTerm nil cons cons 347 ref 6361 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6360 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6359 remove nil cons cons 347 ref 6358 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6357 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp 6366 def subst sym 56 ref "_33673" 16 ref var 6367 def 4653 ref 134 ref appTerm 6368 def 6367 remove varTerm appTerm 6352 ref appTerm absTerm 6369 def 149 ref appTerm 6370 def appTerm refl 6369 ref 1467 ref 131 ref appTerm 6371 def appTerm betaConv appThm 383 ref 6370 remove betaConv appThm 6368 ref 6371 ref appTerm 6352 ref appTerm 6372 def refl appThm trans 6369 remove refl 150 ref refl nil 1520 ref 1425 ref cons nil cons cons 1533 ref subst 6373 def appThm 4636 remove assume 6374 def eqMp appThm eqMp sym 1017 ref nil 1054 ref 4650 ref nil cons 6375 def cons 6376 def 1158 ref 1351 ref cons 6377 def 5419 ref cons cons nil cons cons 1054 ref 56 ref 1212 ref 1161 ref appTerm 135 ref appTerm 4347 ref appTerm 6378 def appTerm 1405 ref appTerm 6379 def absTerm 6380 def 1057 ref appTerm 6381 def betaConv 1158 ref 14 ref 6380 ref appTerm 6382 def absTerm 6383 def 1161 ref appTerm 6384 def betaConv 415 ref 19 ref 6383 ref appTerm 6385 def absTerm 6386 def 857 ref appTerm 6387 def betaConv 4261 ref 415 ref 1432 ref 1158 ref 4128 ref 1054 ref 6379 remove assume sym 56 ref 1405 remove appTerm 6378 remove appTerm 6388 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 11 ref 415 ref 19 ref 1158 ref 14 ref 1054 ref 6388 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 346 ref 11 ref 6386 ref appTerm nil cons cons 347 ref 6387 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6386 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6385 remove nil cons cons 347 ref 6384 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6383 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6382 remove nil cons cons 347 ref 6381 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6380 remove nil cons cons 1106 ref cons nil cons cons 414 ref subst eqMp eqMp 6389 def subst appThm 4653 ref refl 6390 def 1522 remove 1715 ref subst 6391 def appThm 131 ref refl 6392 def appThm 4655 ref refl appThm appThm sym nil 346 ref 4822 remove cons 6393 def 347 ref 4825 remove cons nil cons cons nil cons cons 412 ref subst 4656 remove assume 6394 def eqMp eqMp nil 346 ref 24 ref 6368 remove 135 ref appTerm 6351 ref appTerm appTerm 4653 ref 1692 ref 135 ref appTerm 6395 def appTerm 131 ref appTerm 4655 ref appTerm appTerm nil cons cons 347 ref 6372 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5396 ref 4655 ref nil cons 6396 def cons 1477 ref 6351 remove nil cons cons 1443 ref 3642 ref 1486 ref 1351 ref cons 6397 def 5419 ref cons cons cons cons cons nil cons cons 5396 ref 23 ref 24 ref 1488 ref 1310 ref appTerm 1478 ref appTerm appTerm 1212 ref 1492 ref 1310 ref appTerm appTerm 1447 ref appTerm 5397 ref appTerm appTerm appTerm 1488 ref 1523 remove appTerm 4277 ref 1478 ref appTerm 5397 ref appTerm appTerm appTerm 6398 def absTerm 6399 def 5397 ref appTerm 6400 def betaConv 1477 ref 11 ref 6399 ref appTerm 6401 def absTerm 6402 def 1478 ref appTerm 6403 def betaConv 1442 ref 11 ref 6402 ref appTerm 6404 def absTerm 6405 def 1447 ref appTerm 6406 def betaConv 1308 ref 19 ref 6405 ref appTerm 6407 def absTerm 6408 def 1310 ref appTerm 6409 def betaConv 1486 ref 19 ref 6408 ref appTerm 6410 def absTerm 6411 def 1487 ref appTerm 6412 def betaConv 415 ref 19 ref 6411 ref appTerm 6413 def absTerm 6414 def 857 ref appTerm 6415 def betaConv nil 11 ref 415 ref 11 ref 1477 ref 11 ref 5396 ref 19 ref 1486 ref 19 ref 1308 ref 19 ref 1442 ref 6398 ref absTerm 6416 def appTerm 6417 def absTerm 6418 def appTerm 6419 def absTerm 6420 def appTerm 6421 def absTerm 6422 def appTerm 6423 def absTerm 6424 def appTerm 6425 def absTerm 6426 def appTerm 6427 def axiom nil 346 ref 6427 remove nil cons 6428 def cons 6429 def 347 ref 11 ref 6414 ref appTerm nil cons 6430 def cons nil cons cons nil cons cons 6431 def 403 ref subst proveHyp 6431 ref 362 ref subst 6431 remove 412 ref subst nil 83 ref 6414 remove nil cons cons 6432 def nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 6413 remove nil cons 6433 def cons nil cons nil cons cons 82 ref subst nil 90 ref 6411 remove nil cons cons 6434 def nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 6410 remove nil cons 6435 def cons nil cons nil cons cons 82 ref subst nil 90 ref 6408 remove nil cons cons 6436 def nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 6407 remove nil cons 6437 def cons nil cons nil cons cons 82 ref subst nil 90 ref 6405 remove nil cons cons 6438 def nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 6404 remove nil cons 6439 def cons nil cons nil cons cons 82 ref subst nil 83 ref 6402 remove nil cons cons 6440 def nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 6401 remove nil cons 6441 def cons nil cons nil cons cons 82 ref subst nil 83 ref 6399 remove nil cons cons 6442 def nil cons nil cons cons 87 ref subst 5396 ref nil 77 ref 6398 remove nil cons cons nil cons nil cons cons 82 ref subst 6416 ref 1447 ref appTerm 6443 def betaConv 6418 ref 1310 ref appTerm 6444 def betaConv 6420 ref 1487 ref appTerm 6445 def betaConv 6422 ref 5397 ref appTerm 6446 def betaConv 6424 ref 1478 ref appTerm 6447 def betaConv 6426 ref 857 ref appTerm 6448 def betaConv nil 6429 remove 347 ref 6448 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 83 ref 6426 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6425 remove nil cons cons 347 ref 6447 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6424 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6423 remove nil cons cons 347 ref 6446 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6422 remove nil cons cons 415 ref 5397 ref nil cons cons nil cons 6449 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6421 remove nil cons cons 347 ref 6445 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6420 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6419 remove nil cons cons 347 ref 6444 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6418 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6417 remove nil cons cons 347 ref 6443 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6416 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 379 ref 6428 remove cons 381 ref 6430 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 6430 remove cons 347 ref 6415 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 6432 remove 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6433 remove cons 347 ref 6412 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 6434 remove 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6435 remove cons 347 ref 6409 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 6436 remove 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6437 remove cons 347 ref 6406 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 6438 remove 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6439 remove cons 347 ref 6403 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 6440 remove 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6441 remove cons 347 ref 6400 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 6442 remove 6449 ref cons nil cons cons 414 ref subst eqMp eqMp 6450 def subst eqMp eqMp eqMp 56 ref "_33671" 8 ref var 6451 def 122 ref 130 ref 1886 ref 1889 ref 6451 remove varTerm appTerm 5525 ref appTerm appTerm appTerm 5241 ref 1886 ref 6344 remove appTerm appTerm 6452 def appTerm appTerm 6332 ref appTerm absTerm 6453 def 148 ref appTerm 6454 def appTerm refl 6453 ref 6352 ref appTerm betaConv appThm 383 ref 6454 remove betaConv appThm 122 ref 130 ref 1886 ref 1889 ref 6352 ref appTerm 5525 ref appTerm appTerm appTerm 6455 def 6452 remove appTerm appTerm 6332 ref appTerm refl appThm trans 6453 remove refl 4287 ref 6352 remove appTerm 148 ref appTerm assume sym appThm eqMp sym nil 5468 remove 1477 ref 4277 ref 4278 ref 196 ref appTerm 6456 def appTerm 202 ref appTerm 6457 def nil cons cons nil cons cons nil cons cons 6366 ref subst sym 56 ref "_33677" 16 ref var 6458 def 199 ref 134 ref appTerm 6459 def 6458 remove varTerm appTerm 6457 ref appTerm absTerm 6460 def 153 ref appTerm 6461 def appTerm refl 6460 ref 6371 ref appTerm betaConv appThm 383 ref 6461 remove betaConv appThm 6459 ref 6371 ref appTerm 6457 ref appTerm 6462 def refl appThm trans 6460 remove refl 154 ref refl 6373 ref appThm 155 remove assume 6463 def eqMp appThm eqMp sym 1017 ref nil 1054 ref 196 ref nil cons 6464 def cons 6465 def 6377 ref 5469 ref cons cons nil cons cons 6389 ref subst appThm 199 ref refl 6466 def 6391 ref appThm 6392 ref appThm 202 ref refl appThm appThm sym nil 346 ref 619 ref cons 6467 def 347 ref 622 ref cons nil cons cons nil cons cons 412 ref subst 203 ref assume 6468 def eqMp eqMp nil 346 ref 24 ref 6459 remove 135 ref appTerm 6456 ref appTerm appTerm 199 ref 6395 ref appTerm 131 ref appTerm 202 ref appTerm appTerm nil cons cons 347 ref 6462 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5396 ref 202 ref nil cons 6469 def cons 1477 ref 6456 remove nil cons cons 1443 ref 3642 ref 6397 ref 5469 ref cons cons cons cons cons nil cons cons 6450 ref subst eqMp eqMp eqMp 56 ref "_33675" 8 ref var 6470 def 122 ref 6455 ref 5241 ref 1886 ref 1889 ref 6470 remove varTerm appTerm 5525 ref appTerm appTerm appTerm appTerm appTerm 6332 ref appTerm absTerm 6471 def 152 ref appTerm 6472 def appTerm refl 6471 ref 6457 ref appTerm betaConv appThm 383 ref 6472 remove betaConv appThm 122 ref 6455 remove 5241 ref 1886 ref 1889 ref 6457 ref appTerm 5525 ref appTerm appTerm appTerm appTerm appTerm 6332 ref appTerm refl appThm trans 6471 remove refl 4287 ref 6457 remove appTerm 152 ref appTerm assume sym appThm eqMp sym 1519 ref 2897 ref 5361 ref nil 20 ref 6019 remove cons 6473 def 415 ref 6396 ref cons 6474 def 6376 remove nil cons cons cons nil cons cons 20 ref 4110 ref 1889 ref 4277 ref 4347 ref appTerm 857 ref appTerm 6475 def appTerm 29 ref appTerm appTerm 4348 remove 0 ref 2 ref 5386 remove cons opType constTerm 6476 def 1067 ref appTerm 6477 def 2063 ref appTerm appTerm absTerm 6478 def 29 ref appTerm 6479 def betaConv 415 ref 19 ref 6478 ref appTerm 6480 def absTerm 6481 def 857 ref appTerm 6482 def betaConv 1054 ref 11 ref 6481 ref appTerm 6483 def absTerm 6484 def 1057 ref appTerm 6485 def betaConv nil 14 ref 6484 ref appTerm 6486 def axiom nil 346 ref 6486 remove nil cons cons 347 ref 6485 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6484 remove nil cons cons 1106 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6483 remove nil cons cons 347 ref 6482 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6481 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6480 remove nil cons cons 347 ref 6479 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6478 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp 6487 def subst appThm nil "t" 1884 ref var 6488 def 1889 ref 4655 ref appTerm 6489 def 5525 ref appTerm 6490 def nil cons cons "h" 2 ref var 6491 def 26 ref 4650 ref appTerm 6492 def 5525 ref appTerm 6493 def nil cons cons nil cons 6494 def cons nil cons cons 6488 ref 122 ref 1886 ref 6476 ref 6491 ref varTerm 6495 def appTerm 6488 ref varTerm 6496 def appTerm appTerm appTerm "Number.Natural.Bits.cons" const 0 ref 2 ref 128 remove cons opType constTerm 6497 def 6495 ref appTerm 6498 def 1886 ref 6496 ref appTerm appTerm appTerm absTerm 6499 def 6496 ref appTerm 6500 def betaConv 6491 ref 2051 remove 6499 ref appTerm 6501 def absTerm 6502 def 6495 ref appTerm 6503 def betaConv nil 785 ref 6502 ref appTerm 6504 def axiom nil 346 ref 6504 remove nil cons cons 347 ref 6503 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 6502 remove nil cons cons 789 ref 6495 ref nil cons cons nil cons 6505 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6501 remove nil cons cons 347 ref 6500 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2053 remove 2054 remove 6499 remove nil cons cons 2055 remove 6496 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 6506 def subst nil 20 ref 1886 ref 6490 remove appTerm 6507 def nil cons 6508 def cons 6494 remove cons nil cons cons 20 ref 122 ref 6498 remove 29 ref appTerm 6509 def appTerm 130 ref "Number.Natural.fromBool" const 0 ref 2 ref 91 ref cons opType constTerm 6510 def 6495 ref appTerm appTerm 5241 ref 29 ref appTerm appTerm 6511 def appTerm 6512 def absTerm 6513 def 29 ref appTerm 6514 def betaConv 6491 ref 19 ref 6513 ref appTerm 6515 def absTerm 6516 def 6495 ref appTerm 6517 def betaConv nil 785 ref 6516 ref appTerm 6518 def axiom 6519 def nil 346 ref 6518 remove nil cons cons 347 ref 6517 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 6516 remove nil cons cons 6505 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6515 remove nil cons cons 347 ref 6514 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6513 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp 6520 def subst trans trans appThm 5362 ref 5361 ref nil 6473 ref 415 ref 6469 ref cons 6521 def 6465 remove nil cons cons cons nil cons cons 6487 ref subst appThm nil 6488 ref 1889 ref 202 ref appTerm 6522 def 5525 ref appTerm 6523 def nil cons cons 6491 ref 26 ref 196 ref appTerm 6524 def 5525 ref appTerm 6525 def nil cons 6526 def cons nil cons 6527 def cons nil cons cons 6506 ref subst nil 20 ref 1886 ref 6523 remove appTerm 6528 def nil cons cons 6527 remove cons nil cons cons 6520 ref subst trans trans appThm appThm appThm 6347 ref appThm sym 2844 ref 24 ref 122 ref 130 ref 130 ref 6510 ref 6493 ref appTerm 6529 def appTerm 6530 def 5241 ref 6507 ref appTerm 6531 def appTerm 6532 def appTerm 6533 def 5241 ref 130 ref 6510 ref 6525 ref appTerm 6534 def appTerm 5241 ref 6528 remove appTerm 6535 def appTerm appTerm appTerm 6536 def appTerm 6537 def 2866 ref appTerm appTerm 2867 ref 6332 ref appTerm 6538 def appTerm absTerm 6539 def 130 ref 6530 remove 5241 ref 6534 ref appTerm 6540 def appTerm 6541 def appTerm 6542 def 5241 ref 130 ref 6507 remove appTerm 6535 ref appTerm 6543 def appTerm appTerm 6544 def appTerm betaConv sym 1519 ref 6533 ref refl nil 1980 ref 6535 ref nil cons cons 6545 def 1442 ref 6534 remove nil cons cons 5509 ref cons cons nil cons cons 1980 ref 122 ref 5511 ref 2134 remove appTerm 6546 def appTerm 130 ref 6227 ref appTerm 6228 ref appTerm 6547 def appTerm 6548 def absTerm 6549 def 1986 ref appTerm 6550 def betaConv 1442 ref 19 ref 6549 ref appTerm 6551 def absTerm 6552 def 1447 ref appTerm 6553 def betaConv 1308 ref 19 ref 6552 ref appTerm 6554 def absTerm 6555 def 1310 ref appTerm 6556 def betaConv nil 19 ref 6555 ref appTerm 6557 def axiom 6558 def nil 346 ref 6557 remove nil cons cons 347 ref 6556 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6555 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6554 remove nil cons cons 347 ref 6553 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6552 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6551 remove nil cons cons 347 ref 6550 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6549 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 6559 def subst appThm nil 1980 ref 5241 ref 6535 remove appTerm nil cons cons 6560 def 1442 ref 6540 ref nil cons 6561 def cons 6562 def 1308 ref 6532 remove nil cons cons nil cons cons cons nil cons cons 2148 ref subst trans appThm 6542 ref refl nil 6545 remove 1442 ref 6508 remove cons 5509 ref cons cons nil cons cons 6559 ref subst appThm nil 6560 ref 1442 ref 6531 ref nil cons 6563 def cons 6564 def 1308 ref 6541 remove nil cons cons nil cons cons cons nil cons cons 2148 ref subst trans appThm nil 1442 ref 6542 ref 6531 ref appTerm nil cons cons 6560 remove 1308 ref 6533 remove 6540 ref appTerm nil cons cons nil cons cons cons nil cons cons 2161 ref subst trans sym 1519 ref nil 1980 ref 6561 remove cons 6564 remove 1308 ref 6529 remove nil cons cons nil cons 6565 def cons cons nil cons cons 3053 ref subst appThm nil 1980 ref 6563 ref cons 6562 ref 6565 ref cons cons nil cons cons 3053 ref subst appThm nil 1980 ref 130 ref 6540 ref appTerm 6531 ref appTerm nil cons cons 1442 ref 130 ref 6531 remove appTerm 6540 ref appTerm nil cons cons 6565 remove cons cons nil cons cons 2981 ref subst trans sym nil 6562 remove 1308 ref 6563 remove cons nil cons cons nil cons cons 1533 ref subst eqMp eqMp nil 346 ref 6537 ref 6544 ref appTerm nil cons cons 347 ref 122 ref 6544 ref appTerm 6332 ref appTerm 6566 def nil cons 6567 def cons nil cons 6568 def cons nil cons cons 412 ref subst proveHyp 20 ref 23 ref 4671 ref appTerm 6569 def 122 ref 130 ref 1886 ref 1889 ref 4646 ref appTerm 6570 def 29 ref appTerm appTerm appTerm 6571 def 1886 ref 1889 ref 188 ref appTerm 6572 def 29 ref appTerm appTerm appTerm appTerm 6573 def 130 ref 1886 ref 6489 remove 29 ref appTerm appTerm appTerm 6574 def 5241 ref 1886 ref 6522 remove 29 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 6575 def 5525 ref appTerm 6576 def betaConv "c" 8 ref var 6577 def 19 ref 20 ref 23 ref 4670 remove 6577 ref varTerm 6578 def appTerm 6579 def appTerm 6573 ref 6574 remove 5241 ref 1886 ref 1889 ref 6578 ref appTerm 29 ref appTerm appTerm appTerm 6580 def appTerm appTerm appTerm absTerm appTerm absTerm 6581 def 202 ref appTerm 6582 def betaConv "s" 8 ref var 6583 def 11 ref 6577 ref 19 ref 20 ref 23 ref 4669 remove 6583 ref varTerm 6584 def appTerm 6578 ref appTerm 6585 def appTerm 6573 remove 130 ref 1886 ref 1889 ref 6584 ref appTerm 29 ref appTerm appTerm appTerm 6580 ref appTerm 6586 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6587 def 4655 ref appTerm 6588 def betaConv 1477 ref 11 ref 6583 ref 11 ref 6577 ref 19 ref 20 ref 23 ref 4668 remove 1478 ref appTerm 6584 ref appTerm 6578 ref appTerm 6589 def appTerm 122 ref 6571 remove 1886 ref 5404 ref appTerm 6590 def appTerm appTerm 6586 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6591 def 188 ref appTerm 6592 def betaConv 415 ref 11 ref 1477 ref 11 ref 6583 ref 11 ref 6577 ref 19 ref 20 ref 23 ref 223 ref 857 ref appTerm 1478 ref appTerm 6593 def 6584 ref appTerm 6594 def 6578 ref appTerm 6595 def appTerm 122 ref 130 ref 6201 remove appTerm 6596 def 6590 ref appTerm appTerm 6586 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6597 def 4646 ref appTerm 6598 def betaConv nil 11 ref 6597 ref appTerm 6599 def axiom 6600 def nil 346 ref 6599 remove nil cons cons 6601 def 347 ref 6598 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6597 ref nil cons cons 6602 def 415 ref 4646 ref nil cons 6603 def cons 6604 def nil cons 6605 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 6591 ref appTerm nil cons cons 347 ref 6592 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6591 remove nil cons cons 415 ref 188 ref nil cons 6606 def cons nil cons 6607 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 6587 ref appTerm nil cons cons 347 ref 6588 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6587 remove nil cons cons 6474 remove nil cons 6608 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 6581 ref appTerm nil cons cons 347 ref 6582 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6581 remove nil cons cons 6521 remove nil cons 6609 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 6575 ref appTerm nil cons cons 347 ref 6576 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6575 remove nil cons cons 6020 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6569 ref 122 ref 130 ref 1886 ref 6570 remove 5525 ref appTerm 6610 def appTerm 6611 def appTerm 1886 ref 6572 ref 5525 ref appTerm appTerm 6612 def appTerm 6613 def appTerm 6543 ref appTerm 6614 def appTerm 6615 def nil cons cons 6568 ref cons nil cons cons 403 ref subst proveHyp nil 346 ref 4838 ref cons 6616 def 347 ref 23 ref 6614 ref appTerm 6566 ref appTerm 6617 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 6614 ref nil cons 6618 def cons 6568 remove cons nil cons cons 6619 def 362 ref subst 6619 remove 412 ref subst 56 ref "_33679" 16 ref var 6620 def 122 ref 6542 ref 5241 ref 6620 remove varTerm appTerm appTerm appTerm 6332 ref appTerm absTerm 6621 def 6543 remove appTerm 6622 def appTerm refl 6621 ref 6613 ref appTerm betaConv appThm 383 ref 6622 remove betaConv appThm 122 ref 6542 remove 5241 ref 6613 remove appTerm 6623 def appTerm appTerm 6332 ref appTerm 6624 def refl appThm trans 6621 remove refl 6614 remove assume sym appThm eqMp sym 20 ref 23 ref 4661 remove appTerm 6625 def 56 ref 6492 remove 29 ref appTerm appTerm 38 ref 56 ref 4586 remove 29 ref appTerm 6626 def appTerm 6627 def 26 ref 4641 ref appTerm 6628 def 29 ref appTerm 6629 def appTerm appTerm 6630 def appTerm appTerm absTerm 6631 def 5525 ref appTerm 6632 def betaConv 718 ref 19 ref 20 ref 23 ref 4660 remove 719 ref appTerm appTerm 720 ref 6630 remove appTerm appTerm absTerm appTerm absTerm 6633 def 4650 ref appTerm 6634 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 4659 remove 678 ref appTerm 719 ref appTerm appTerm 720 ref 38 ref 6627 remove 680 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6635 def 4641 ref appTerm 6636 def betaConv 404 ref 14 ref 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 4658 ref 684 ref appTerm 678 ref appTerm 719 ref appTerm appTerm 720 ref 38 ref 56 ref 689 ref appTerm 680 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6637 def 4585 ref appTerm 6638 def betaConv nil 14 ref 6637 ref appTerm 6639 def axiom 6640 def nil 346 ref 6639 remove nil cons cons 6641 def 347 ref 6638 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6637 ref nil cons cons 6642 def 4735 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 6635 ref appTerm nil cons cons 347 ref 6636 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6635 remove nil cons cons 404 ref 4641 ref nil cons 6643 def cons nil cons 6644 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 6633 ref appTerm nil cons cons 347 ref 6634 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6633 remove nil cons cons 404 ref 6375 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 6631 ref appTerm nil cons cons 347 ref 6632 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6631 remove nil cons cons 6020 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6625 ref 56 ref 6493 ref appTerm 38 ref 5781 ref 6628 ref 5525 ref appTerm 6645 def appTerm appTerm 6646 def appTerm 6647 def appTerm 6648 def nil cons cons 347 ref 6624 ref nil cons 6649 def cons nil cons 6650 def cons nil cons cons 403 ref subst proveHyp nil 346 ref 4832 remove cons 6651 def 347 ref 23 ref 6647 ref appTerm 6624 ref appTerm 6652 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 6647 ref nil cons 6653 def cons 6650 remove cons nil cons cons 6654 def 362 ref subst 6654 remove 412 ref subst 56 ref "_33681" 2 ref var 6655 def 122 ref 130 ref 130 ref 6510 ref 6655 remove varTerm appTerm appTerm 6540 ref appTerm appTerm 6623 ref appTerm appTerm 6332 ref appTerm absTerm 6656 def 6493 remove appTerm 6657 def appTerm refl 6656 ref 6646 ref appTerm betaConv appThm 383 ref 6657 remove betaConv appThm 122 ref 130 ref 130 ref 6510 ref 6646 remove appTerm appTerm 6658 def 6540 remove appTerm appTerm 6623 ref appTerm appTerm 6332 ref appTerm 6659 def refl appThm trans 6656 remove refl 6647 remove assume appThm eqMp sym 20 ref 23 ref 4666 remove appTerm 6660 def 56 ref 6524 ref 29 ref appTerm 6661 def appTerm 6662 def 24 ref 6626 remove appTerm 6663 def 6629 remove appTerm 6664 def appTerm appTerm absTerm 6665 def 5525 ref appTerm 6666 def betaConv 718 ref 19 ref 20 ref 23 ref 4665 remove 719 ref appTerm appTerm 720 ref 6664 remove appTerm appTerm absTerm appTerm absTerm 6667 def 196 ref appTerm 6668 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 4664 remove 678 ref appTerm 719 ref appTerm appTerm 720 ref 6663 remove 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6669 def 4641 ref appTerm 6670 def betaConv 404 ref 14 ref 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 4663 ref 684 ref appTerm 678 ref appTerm 719 ref appTerm appTerm 720 ref 24 ref 689 remove appTerm 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6671 def 4585 remove appTerm 6672 def betaConv nil 14 ref 6671 ref appTerm 6673 def axiom 6674 def nil 346 ref 6673 remove nil cons cons 6675 def 347 ref 6672 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6671 ref nil cons cons 6676 def 4735 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 6669 ref appTerm nil cons cons 347 ref 6670 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6669 remove nil cons cons 6644 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 6667 ref appTerm nil cons cons 347 ref 6668 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6667 remove nil cons cons 404 ref 6464 ref cons nil cons 6677 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 6665 ref appTerm nil cons cons 347 ref 6666 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6665 remove nil cons cons 6020 ref cons nil cons cons 414 ref subst eqMp eqMp 6678 def nil 346 ref 6660 ref 56 ref 6525 ref appTerm 24 ref 5578 ref appTerm 6645 ref appTerm 6679 def appTerm 6680 def appTerm 6681 def nil cons cons 6682 def 347 ref 6659 ref nil cons 6683 def cons nil cons 6684 def cons nil cons cons 403 ref subst proveHyp nil 346 ref 4835 remove cons 6685 def 347 ref 23 ref 6680 ref appTerm 6686 def 6659 ref appTerm 6687 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 6680 ref nil cons 6688 def cons 6689 def 6684 remove cons nil cons cons 6690 def 362 ref subst 6690 remove 412 ref subst 56 ref "_33683" 2 ref var 6691 def 122 ref 130 ref 6658 ref 5241 ref 6510 ref 6691 remove varTerm appTerm appTerm appTerm appTerm 6623 ref appTerm appTerm 6332 ref appTerm absTerm 6692 def 6525 ref appTerm 6693 def appTerm refl 6692 ref 6679 ref appTerm betaConv appThm 383 ref 6693 remove betaConv appThm 122 ref 130 ref 6658 remove 5241 ref 6510 ref 6679 remove appTerm appTerm appTerm 6694 def appTerm 6623 ref appTerm 6695 def appTerm 6696 def 6332 ref appTerm 6697 def refl appThm trans 6692 remove refl 6680 remove assume 6698 def appThm eqMp sym 2844 ref 24 ref 6696 ref 2866 ref appTerm appTerm 6538 remove appTerm absTerm 6699 def 130 ref 5579 ref appTerm 6700 def 130 ref 6510 ref 6645 ref appTerm 6701 def appTerm 6702 def 6623 ref appTerm 6703 def appTerm 6704 def appTerm betaConv sym 6696 ref refl nil 1980 ref 6623 remove nil cons cons 6705 def 1442 ref 6701 ref nil cons 6706 def cons 1308 ref 5902 ref cons nil cons 6707 def cons cons nil cons cons 2148 ref subst appThm nil 1442 ref 6700 ref 6701 ref appTerm 6708 def nil cons cons 6705 remove 1308 ref 6694 ref nil cons cons nil cons cons cons nil cons cons 2161 ref subst trans sym nil 346 ref 5804 ref cons 6709 def 347 ref 122 ref 6694 remove appTerm 6708 remove appTerm nil cons 6710 def cons nil cons 6711 def cons nil cons cons 6712 def 362 ref subst 6712 remove 412 ref subst 56 ref "_33687" 2 ref var 6713 def 122 ref 130 ref 6510 ref 38 ref 56 ref 6713 remove varTerm 6714 def appTerm 6645 ref appTerm appTerm appTerm appTerm 5241 ref 6510 ref 24 ref 6714 ref appTerm 6645 ref appTerm appTerm appTerm appTerm appTerm 130 ref 2197 ref 6714 remove appTerm 135 ref appTerm 134 ref appTerm appTerm 6701 ref appTerm appTerm absTerm 6715 def 5578 ref appTerm 6716 def appTerm refl 6717 def 6715 ref 664 ref appTerm betaConv appThm 383 ref 6716 remove betaConv appThm 6718 def 122 ref 130 ref 6510 ref 38 ref 784 ref 6645 ref appTerm appTerm appTerm appTerm 5241 ref 6510 ref 3148 ref 6645 ref appTerm appTerm appTerm appTerm appTerm 130 ref 5925 ref appTerm 6719 def 6701 ref appTerm appTerm 6720 def refl appThm trans 6715 remove refl 6721 def 5803 remove assume 6722 def appThm eqMp sym nil 346 ref 56 ref 6645 ref appTerm 6723 def 664 ref appTerm 6724 def nil cons 6725 def cons 6726 def 347 ref 6720 remove nil cons 6727 def cons nil cons 6728 def cons nil cons cons 6729 def 362 ref subst 6729 remove 412 ref subst 56 ref "_33695" 2 ref var 6730 def 122 ref 130 ref 6510 ref 38 ref 784 ref 6730 remove varTerm 6731 def appTerm appTerm appTerm appTerm 5241 ref 6510 ref 3148 ref 6731 ref appTerm appTerm appTerm appTerm appTerm 6719 ref 6510 ref 6731 remove appTerm appTerm appTerm absTerm 6732 def 6645 ref appTerm 6733 def appTerm refl 6734 def 6732 ref 664 ref appTerm betaConv appThm 383 ref 6733 remove betaConv appThm 6735 def 122 ref 130 ref 6510 ref 38 ref 784 ref 664 ref appTerm appTerm appTerm appTerm 5241 ref 6510 ref 3148 ref 664 ref appTerm appTerm appTerm appTerm appTerm 6719 ref 6510 ref 664 ref appTerm 6736 def appTerm appTerm refl appThm trans 6732 remove refl 6737 def 6724 remove assume 6738 def appThm eqMp sym 1519 ref 2897 ref 6510 ref refl 6739 def 839 ref 5752 ref appThm 3475 ref trans appThm nil 122 ref 6736 ref appTerm 134 ref appTerm axiom 6740 def trans appThm 5362 ref 6739 ref 5158 ref 3159 ref subst appThm 6740 ref trans appThm 5515 ref trans appThm 1934 remove 1715 ref subst 6741 def trans appThm 2897 ref 3418 ref appThm 6742 def 6740 ref appThm 6741 remove trans appThm 2764 ref trans sym 81 ref eqMp eqMp eqMp nil 379 ref 6725 ref cons 6743 def 381 ref 6727 ref cons nil cons 6744 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 6723 ref 67 ref appTerm 6745 def nil cons 6746 def cons 6747 def 6728 remove cons nil cons cons 6748 def 362 ref subst 6748 remove 412 ref subst 6734 remove "_33693" 2 ref var 6749 def 122 ref 130 ref 6510 ref 38 ref 784 ref 6749 remove varTerm 6750 def appTerm appTerm appTerm appTerm 5241 ref 6510 ref 3148 ref 6750 ref appTerm appTerm appTerm appTerm appTerm 6719 ref 6510 ref 6750 remove appTerm appTerm appTerm absTerm 67 ref appTerm betaConv appThm 6735 remove 122 ref 130 ref 6510 ref 38 ref 784 ref 67 ref appTerm appTerm appTerm appTerm 5241 ref 6510 ref 3148 remove 67 ref appTerm appTerm appTerm appTerm appTerm 6719 remove 6510 ref 67 ref appTerm 6751 def appTerm appTerm refl appThm trans 6737 remove 6745 remove assume 6752 def appThm eqMp sym 1519 ref 2897 ref 6739 ref 839 ref 1029 ref 5751 ref subst 3475 ref trans appThm 3162 ref trans appThm nil 122 ref 6751 ref appTerm 135 ref appTerm axiom 6753 def trans appThm 5362 ref 6739 ref 1029 ref 3159 ref subst appThm 6740 ref trans appThm 5515 ref trans appThm nil 3643 ref nil cons cons 6754 def 1317 ref subst 6755 def trans appThm 6742 remove 6753 ref appThm 6391 ref trans appThm 5917 ref trans sym 81 ref eqMp eqMp eqMp nil 379 ref 6746 remove cons 6756 def 6744 remove cons nil cons cons 395 ref subst deductAntisym eqMp 3184 ref 6645 ref appTerm 6757 def betaConv 3187 ref nil 3188 ref 347 ref 6757 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 3189 ref 789 ref 6645 ref nil cons 6758 def cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 6759 def nil 6756 ref 381 ref 6725 remove cons 6760 def 2464 ref 6727 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 379 ref 5804 ref cons 6761 def 381 ref 6710 ref cons nil cons 6762 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 5781 remove 67 ref appTerm 6763 def nil cons 6764 def cons 6765 def 6711 remove cons nil cons cons 6766 def 362 ref subst 6766 remove 412 ref subst 6717 remove "_33685" 2 ref var 6767 def 122 ref 130 ref 6510 ref 38 ref 56 ref 6767 remove varTerm 6768 def appTerm 6645 ref appTerm appTerm appTerm appTerm 5241 ref 6510 ref 24 ref 6768 ref appTerm 6645 ref appTerm appTerm appTerm appTerm appTerm 130 ref 2197 ref 6768 remove appTerm 135 ref appTerm 134 ref appTerm appTerm 6701 ref appTerm appTerm absTerm 67 ref appTerm betaConv appThm 6718 remove 122 ref 130 ref 6510 ref 38 ref 842 ref 6645 ref appTerm appTerm appTerm appTerm 5241 ref 6510 ref 1022 ref 6645 ref appTerm appTerm appTerm appTerm appTerm 130 ref 5913 ref appTerm 6769 def 6701 remove appTerm appTerm 6770 def refl appThm trans 6721 remove 6763 remove assume 6771 def appThm eqMp sym nil 6726 remove 347 ref 6770 remove nil cons 6772 def cons nil cons 6773 def cons nil cons cons 6774 def 362 ref subst 6774 remove 412 ref subst 56 ref "_33691" 2 ref var 6775 def 122 ref 130 ref 6510 ref 38 ref 842 ref 6775 remove varTerm 6776 def appTerm appTerm appTerm appTerm 5241 ref 6510 ref 1022 ref 6776 ref appTerm appTerm appTerm appTerm appTerm 6769 ref 6510 ref 6776 remove appTerm appTerm appTerm absTerm 6777 def 6645 ref appTerm 6778 def appTerm refl 6779 def 6777 ref 664 ref appTerm betaConv appThm 383 ref 6778 remove betaConv appThm 6780 def 122 ref 130 ref 6510 ref 38 ref 842 ref 664 ref appTerm appTerm appTerm appTerm 5241 ref 6510 ref 1022 ref 664 ref appTerm appTerm appTerm appTerm appTerm 6769 ref 6736 remove appTerm appTerm refl appThm trans 6777 remove refl 6781 def 6738 remove appThm eqMp sym 1519 ref 2897 ref 6739 ref 839 ref 5158 ref 846 ref subst 6782 def appThm 3162 ref trans appThm 6753 ref trans appThm 5362 ref 6739 ref 5351 remove appThm 6740 ref trans appThm 5515 remove trans appThm 6755 ref trans appThm 2897 ref 3259 ref appThm 6783 def 6740 ref appThm 6755 remove trans appThm 5917 remove trans sym 81 ref eqMp eqMp eqMp nil 6743 remove 381 ref 6772 ref cons nil cons 6784 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 6747 remove 6773 remove cons nil cons cons 6785 def 362 ref subst 6785 remove 412 ref subst 6779 remove "_33689" 2 ref var 6786 def 122 ref 130 ref 6510 ref 38 ref 842 ref 6786 remove varTerm 6787 def appTerm appTerm appTerm appTerm 5241 ref 6510 ref 1022 ref 6787 ref appTerm appTerm appTerm appTerm appTerm 6769 ref 6510 ref 6787 remove appTerm appTerm appTerm absTerm 67 ref appTerm betaConv appThm 6780 remove 122 ref 130 ref 6510 ref 38 ref 842 ref 67 ref appTerm appTerm appTerm appTerm 5241 ref 6510 ref 1022 remove 67 ref appTerm appTerm appTerm appTerm appTerm 6769 remove 6751 ref appTerm appTerm refl appThm trans 6781 remove 6752 remove appThm eqMp sym 1519 ref 2897 ref 6739 ref 839 ref 3167 remove appThm 3475 ref trans appThm 6740 ref trans appThm 5362 ref 6739 ref 1030 ref appThm 6753 ref trans appThm 5510 remove 1308 ref 122 ref 5511 remove 135 ref appTerm appTerm 1310 ref appTerm absTerm 6788 def 1310 ref appTerm 6789 def betaConv nil 19 ref 6788 ref appTerm 6790 def axiom nil 346 ref 6790 remove nil cons cons 347 ref 6789 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6788 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp subst 6791 def trans appThm nil 1442 ref 5508 remove cons nil cons nil cons cons 1715 ref subst trans appThm 6783 remove 6753 ref appThm appThm sym 6246 ref 6754 ref 1673 ref subst trans 6792 def eqMp eqMp eqMp nil 6756 ref 6784 remove cons nil cons cons 395 ref subst deductAntisym eqMp 6759 remove nil 6756 remove 6760 remove 2464 ref 6772 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 379 ref 6764 remove cons 6793 def 6762 remove cons nil cons cons 395 ref subst deductAntisym eqMp 3184 ref 5578 ref appTerm 6794 def betaConv 3187 ref nil 3188 ref 347 ref 6794 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 3189 ref 789 ref 5694 ref cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 6795 def nil 6793 ref 381 ref 5804 remove cons 6796 def 2464 ref 6710 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp nil 346 ref 6696 remove 6704 ref appTerm nil cons cons 347 ref 122 ref 6704 ref appTerm 6332 ref appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 1519 ref nil 1442 ref 6703 ref nil cons 6797 def cons 6707 ref cons nil cons cons 1533 ref subst appThm 6347 remove appThm sym 122 ref 130 ref 6703 ref appTerm 5579 ref appTerm appTerm refl nil 5903 ref 6284 ref cons nil cons cons 2148 ref subst 6798 def appThm nil 1442 ref 6305 ref cons 5903 ref 1308 ref 6797 remove cons nil cons cons cons nil cons cons 2161 ref subst trans sym 20 ref 23 ref 265 ref appTerm 6799 def 4110 ref 1889 ref 139 ref appTerm 6800 def 1791 ref appTerm appTerm 5378 ref appTerm appTerm absTerm 6801 def 1905 ref appTerm 6802 def betaConv 1477 ref 19 ref 20 ref 23 ref 264 ref 1478 ref appTerm 6803 def appTerm 4110 ref 5403 remove 1791 ref appTerm appTerm 6804 def 5378 remove appTerm appTerm absTerm appTerm absTerm 6805 def 139 ref appTerm 6806 def betaConv 415 ref 11 ref 1477 ref 19 ref 20 ref 23 ref 1675 ref appTerm 6804 ref 2063 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6807 def 157 ref appTerm 6808 def betaConv nil 11 ref 6807 ref appTerm 6809 def axiom 6810 def nil 346 ref 6809 remove nil cons cons 6811 def 347 ref 6808 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6807 ref nil cons cons 6812 def 5421 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 6805 ref appTerm nil cons cons 347 ref 6806 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6805 remove nil cons cons 415 ref 139 ref nil cons cons 6813 def nil cons 6814 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 6801 ref appTerm nil cons cons 347 ref 6802 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6801 remove nil cons cons 4861 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6799 ref 4110 ref 6800 ref 6106 ref appTerm 6815 def appTerm 5237 ref appTerm 6816 def appTerm 6817 def nil cons cons 347 ref 122 ref 6703 remove appTerm 6818 def 6289 remove appTerm 6819 def nil cons 6820 def cons nil cons 6821 def cons nil cons cons 403 ref subst proveHyp nil 346 ref 4848 ref cons 6822 def 347 ref 23 ref 6816 ref appTerm 6819 ref appTerm 6823 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 6816 ref nil cons 6824 def cons 6821 remove cons nil cons cons 6825 def 362 ref subst 6825 remove 412 ref subst 56 ref "_33697" 1884 ref var 6826 def 6818 ref 130 ref 1886 ref 6826 remove varTerm appTerm appTerm 5245 ref appTerm appTerm absTerm 6827 def 5237 remove appTerm 6828 def appTerm refl 6827 ref 6815 ref appTerm betaConv appThm 383 ref 6828 remove betaConv appThm 6818 ref 130 ref 1886 ref 6815 remove appTerm appTerm 5245 ref appTerm appTerm refl appThm trans 6827 remove refl 6816 remove assume sym appThm eqMp sym 6818 ref refl 6829 def 2897 ref 5361 ref 6800 remove refl 6095 remove 1439 ref subst 6091 remove 3090 ref subst 6830 def trans appThm appThm appThm 5245 ref refl 6831 def appThm appThm sym nil 6813 remove 1477 ref 4277 ref 4278 ref 4641 ref appTerm 6832 def appTerm 4646 ref appTerm 6833 def nil cons cons nil cons cons nil cons cons 6366 ref subst sym 56 ref "_33701" 16 ref var 6834 def 4644 ref 134 ref appTerm 6835 def 6834 remove varTerm appTerm 6833 ref appTerm absTerm 6836 def 140 ref appTerm 6837 def appTerm refl 6836 ref 6371 ref appTerm betaConv appThm 383 ref 6837 remove betaConv appThm 6835 ref 6371 ref appTerm 6833 ref appTerm 6838 def refl appThm trans 6836 remove refl 141 ref refl 6373 ref appThm 4634 remove assume 6839 def eqMp appThm eqMp sym 1017 ref nil 1054 ref 6643 ref cons 6840 def 6377 ref 6814 ref cons cons nil cons cons 6389 ref subst appThm 4644 ref refl 6841 def 6391 ref appThm 6392 ref appThm 4646 ref refl appThm appThm sym nil 346 ref 4817 ref cons 6842 def 347 ref 4820 remove cons nil cons cons nil cons cons 412 ref subst 4647 remove assume 6843 def eqMp eqMp nil 346 ref 24 ref 6835 remove 135 ref appTerm 6832 ref appTerm appTerm 4644 ref 6395 ref appTerm 131 ref appTerm 4646 ref appTerm appTerm nil cons cons 347 ref 6838 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5396 ref 6603 remove cons 1477 ref 6832 remove nil cons cons 1443 ref 3642 ref 6397 ref 6814 ref cons cons cons cons cons nil cons cons 6450 ref subst eqMp eqMp eqMp 56 ref "_33699" 8 ref var 6844 def 6818 ref 130 ref 1886 ref 1889 ref 6844 remove varTerm appTerm 5525 ref appTerm appTerm appTerm 5245 ref appTerm appTerm absTerm 6845 def 139 ref appTerm 6846 def appTerm refl 6845 ref 6833 ref appTerm betaConv appThm 383 ref 6846 remove betaConv appThm 6818 remove 130 ref 1886 ref 1889 ref 6833 ref appTerm 5525 ref appTerm appTerm appTerm 5245 ref appTerm appTerm refl appThm trans 6845 remove refl 4287 ref 6833 remove appTerm 139 ref appTerm assume sym appThm eqMp sym 6829 remove 2897 ref 5361 ref nil 6473 ref 6604 remove 6840 remove nil cons cons cons nil cons cons 6487 ref subst appThm nil 6488 ref 6610 remove nil cons cons 6491 ref 6758 ref cons nil cons 6847 def cons nil cons cons 6506 ref subst nil 20 ref 6611 ref nil cons 6848 def cons 6847 remove cons nil cons cons 6520 ref subst trans trans appThm 6831 remove appThm appThm sym 1519 ref 6702 remove refl nil 1980 ref 6612 ref nil cons 6849 def cons 1442 ref 6848 remove cons 5509 ref cons cons nil cons cons 6559 ref subst appThm appThm nil 1980 ref 6265 remove cons 6850 def 1442 ref 5241 ref 6611 remove appTerm 6851 def nil cons 6852 def cons 1308 ref 6706 remove cons nil cons 6853 def cons cons nil cons cons 3053 ref subst appThm nil 1980 ref 130 ref 6851 remove appTerm 6854 def 5245 remove appTerm nil cons cons 1442 ref 6854 remove 5241 ref 6612 ref appTerm 6855 def appTerm nil cons cons 6853 remove cons cons nil cons cons 2981 ref subst nil 6850 remove 1442 ref 6855 remove nil cons cons 1308 ref 6852 remove cons nil cons cons cons nil cons cons 2981 ref subst trans trans sym 5362 ref 20 ref 23 ref 268 remove appTerm 6856 def 4110 ref 1889 ref 143 ref appTerm 6857 def 1791 ref appTerm appTerm 5379 ref appTerm appTerm absTerm 6858 def 1905 ref appTerm 6859 def betaConv 1477 ref 19 ref 20 ref 23 ref 6122 remove appTerm 6804 ref 5379 remove appTerm appTerm absTerm appTerm absTerm 6860 def 143 ref appTerm 6861 def betaConv 6807 ref 161 ref appTerm 6862 def betaConv 6810 ref nil 6811 ref 347 ref 6862 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 6812 ref 5471 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 6860 ref appTerm nil cons cons 347 ref 6861 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6860 remove nil cons cons 6134 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 6858 ref appTerm nil cons cons 347 ref 6859 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6858 remove nil cons cons 4861 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6856 ref 4110 ref 6857 remove 6106 ref appTerm 6863 def appTerm 5243 ref appTerm 6864 def appTerm 6865 def nil cons cons 347 ref 122 ref 6612 ref appTerm 6866 def 5244 ref appTerm 6867 def nil cons 6868 def cons nil cons 6869 def cons nil cons cons 403 ref subst proveHyp nil 346 ref 4853 remove cons 6870 def 347 ref 23 ref 6864 ref appTerm 6867 ref appTerm 6871 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 6864 ref nil cons 6872 def cons 6869 remove cons nil cons cons 6873 def 362 ref subst 6873 remove 412 ref subst 56 ref "_33703" 1884 ref var 6874 def 6866 ref 1886 ref 6874 remove varTerm appTerm appTerm absTerm 6875 def 5243 remove appTerm 6876 def appTerm refl 6875 ref 6863 ref appTerm betaConv appThm 383 ref 6876 remove betaConv appThm 6866 ref 1886 ref 6863 remove appTerm appTerm refl appThm trans 6875 remove refl 6864 remove assume sym appThm eqMp sym nil 6133 remove 1477 ref 4277 ref 188 ref appTerm 4278 ref 192 ref appTerm 6877 def appTerm 6878 def nil cons cons nil cons cons nil cons cons 6366 ref subst sym 56 ref "_33707" 16 ref var 6879 def 186 ref 6879 remove varTerm appTerm 6878 ref appTerm absTerm 6880 def 144 ref appTerm 6881 def appTerm refl 6880 ref 136 ref appTerm betaConv appThm 383 ref 6881 remove betaConv appThm 186 ref 136 ref appTerm 6878 ref appTerm 6882 def refl appThm trans 6880 remove refl 146 remove assume 6883 def appThm eqMp sym 190 ref refl nil 1054 ref 6076 remove cons 6884 def 1158 ref 1692 ref 131 ref appTerm 6885 def nil cons cons 6134 ref cons cons nil cons cons 6389 ref subst 180 ref refl 6886 def nil 1443 ref nil cons 6887 def nil cons cons 6888 def 1715 ref subst 6889 def appThm 192 ref refl appThm trans appThm sym nil 346 ref 611 ref cons 347 ref 615 remove cons nil cons cons nil cons cons 412 ref subst 6131 ref eqMp eqMp nil 346 ref 190 ref 185 ref 6885 ref appTerm 135 ref appTerm 6877 ref appTerm appTerm nil cons cons 347 ref 6882 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5396 ref 6877 ref nil cons 6890 def cons 1477 ref 6606 remove cons 6891 def 1520 ref 1424 remove 6397 ref 6134 ref cons cons cons cons cons nil cons cons 6450 ref subst eqMp eqMp eqMp 56 ref "_33705" 8 ref var 6892 def 6866 ref 1886 ref 1889 ref 6892 remove varTerm appTerm 6106 ref appTerm appTerm appTerm absTerm 6893 def 143 ref appTerm 6894 def appTerm refl 6893 ref 6878 ref appTerm betaConv appThm 383 ref 6894 remove betaConv appThm 6866 ref 1886 ref 1889 ref 6878 ref appTerm 6106 ref appTerm appTerm appTerm refl appThm trans 6893 remove refl 4287 ref 6878 remove appTerm 143 ref appTerm assume sym appThm eqMp sym 6866 ref refl nil 20 ref 6106 ref nil cons cons 6895 def 1477 ref 6890 remove cons 6607 ref cons cons nil cons cons 20 ref 122 ref 1886 ref 1889 ref 4335 ref appTerm 29 ref appTerm appTerm appTerm 6596 remove "Number.Natural.Bits.shiftLeft" const 129 remove constTerm 6896 def 6590 ref appTerm 1078 ref appTerm appTerm appTerm absTerm 6897 def 29 ref appTerm 6898 def betaConv 1477 ref 19 ref 6897 ref appTerm 6899 def absTerm 6900 def 1478 ref appTerm 6901 def betaConv 415 ref 11 ref 6900 ref appTerm 6902 def absTerm 6903 def 857 ref appTerm 6904 def betaConv nil 11 ref 6903 ref appTerm 6905 def axiom nil 346 ref 6905 remove nil cons cons 347 ref 6904 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6903 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6902 remove nil cons cons 347 ref 6901 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6900 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6899 remove nil cons cons 347 ref 6898 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6897 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp 6906 def subst appThm sym 1519 ref 130 ref 1886 ref 6572 ref 6106 ref appTerm appTerm 6907 def appTerm 6908 def refl 6896 ref refl 6909 def 5361 ref nil 6895 remove 6884 remove nil cons cons nil cons cons 20 ref 4110 ref 1889 ref 4347 ref appTerm 29 ref appTerm 6910 def appTerm 6477 remove 4289 remove 1884 ref constTerm 6911 def appTerm appTerm absTerm 6912 def 29 ref appTerm 6913 def betaConv 1054 ref 19 ref 6912 ref appTerm 6914 def absTerm 6915 def 1057 ref appTerm 6916 def betaConv nil 14 ref 6915 ref appTerm 6917 def axiom nil 346 ref 6917 remove nil cons cons 347 ref 6916 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6915 remove nil cons cons 1106 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6914 remove nil cons cons 347 ref 6913 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6912 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm nil "b" 2 ref var 6918 def 6109 ref nil cons 6919 def cons nil cons nil cons cons 6920 def 6918 ref 122 ref 1886 ref 6476 ref 6918 ref varTerm 6921 def appTerm 6911 remove appTerm appTerm appTerm 6510 ref 6921 ref appTerm 6922 def appTerm absTerm 6923 def 6921 ref appTerm 6924 def betaConv nil 785 ref 6923 ref appTerm 6925 def axiom nil 346 ref 6925 remove nil cons cons 347 ref 6924 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 6923 remove nil cons cons 789 ref 6921 ref nil cons cons nil cons 6926 def cons nil cons cons 414 ref subst eqMp eqMp subst trans appThm 123 ref 188 ref appTerm 6927 def refl appThm appThm appThm 5361 ref 6572 remove refl 6092 ref 6096 ref trans appThm appThm appThm nil 1442 ref 6896 ref 6510 ref 6109 ref appTerm 6928 def appTerm 6927 ref appTerm nil cons cons 1308 ref 6907 remove nil cons cons nil cons cons nil cons cons 2865 remove subst nil 1486 ref 6927 ref nil cons cons 1442 ref 6928 remove nil cons cons nil cons cons nil cons cons 1442 ref 56 ref 122 ref 6896 ref 1447 ref appTerm 6929 def 1487 ref appTerm appTerm 134 ref appTerm appTerm 2858 ref appTerm absTerm 6930 def 1447 ref appTerm 6931 def betaConv 1486 ref 19 ref 6930 ref appTerm 6932 def absTerm 6933 def 1487 ref appTerm 6934 def betaConv nil 19 ref 6933 ref appTerm 6935 def axiom nil 346 ref 6935 remove nil cons cons 347 ref 6934 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6933 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6932 remove nil cons cons 347 ref 6931 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6930 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst 6920 remove 6918 remove 56 ref 122 ref 6922 remove appTerm 134 ref appTerm appTerm 38 ref 6921 ref appTerm appTerm absTerm 6936 def 6921 remove appTerm 6937 def betaConv nil 785 ref 6936 ref appTerm 6938 def axiom nil 346 ref 6938 remove nil cons cons 347 ref 6937 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 6936 remove nil cons cons 6926 remove cons nil cons cons 414 ref subst eqMp eqMp subst trans trans trans sym nil 6318 remove 347 ref 38 ref 6109 remove appTerm 6939 def nil cons cons nil cons cons nil cons cons 403 ref subst 6143 remove nil 346 ref 6140 remove cons 347 ref 23 ref 6317 ref appTerm 6939 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 3126 ref 6919 remove cons 789 ref 6181 ref cons nil cons cons nil cons cons nil 346 ref 56 ref 3133 ref appTerm 6940 def 664 ref appTerm 6941 def nil cons 6942 def cons 6943 def 347 ref 23 ref 6940 ref 3128 ref appTerm appTerm 6944 def 23 ref 5337 ref appTerm 6945 def 3137 ref appTerm appTerm 6946 def nil cons 6947 def cons nil cons 6948 def cons nil cons cons 6949 def 362 ref subst 6949 remove 412 ref subst 56 ref "_33116" 2 ref var 6950 def 23 ref 56 ref 6950 remove varTerm 6951 def appTerm 3128 ref appTerm appTerm 6945 ref 38 ref 6951 remove appTerm appTerm appTerm absTerm 6952 def 3133 ref appTerm appTerm refl 6953 def 6952 remove 664 ref appTerm betaConv appThm 383 ref 3126 ref 6946 remove absTerm 6954 def 3133 ref appTerm betaConv appThm 6955 def 23 ref 784 remove 3128 ref appTerm appTerm 6956 def 6945 ref 3161 remove appTerm appTerm refl appThm trans 6954 remove refl 6957 def 6941 remove assume 6958 def appThm eqMp sym 96 ref nil 77 ref 3190 remove cons nil cons nil cons cons 6959 def 5751 ref subst appThm 6960 def 6945 ref refl 6961 def 3162 ref appThm nil 77 ref 5337 remove nil cons cons nil cons nil cons cons 6962 def 77 ref 56 ref 834 remove 67 ref appTerm appTerm 67 ref appTerm absTerm 6963 def 78 remove appTerm 6964 def betaConv nil 785 ref 6963 ref appTerm 6965 def axiom nil 346 ref 6965 remove nil cons cons 347 ref 6964 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 6963 remove nil cons cons 825 remove cons nil cons cons 414 ref subst eqMp eqMp 6966 def subst 6967 def trans appThm 6967 remove trans sym 81 ref eqMp eqMp eqMp nil 379 ref 6942 ref cons 6968 def 381 ref 6947 ref cons nil cons 6969 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 6940 remove 67 ref appTerm 6970 def nil cons 6971 def cons 6972 def 6948 remove cons nil cons cons 6973 def 362 ref subst 6973 remove 412 ref subst 6953 remove "_33114" 2 ref var 6974 def 23 ref 56 ref 6974 remove varTerm 6975 def appTerm 3128 ref appTerm appTerm 6945 ref 38 ref 6975 remove appTerm appTerm appTerm absTerm 67 ref appTerm betaConv appThm 6955 remove 23 ref 842 ref 3128 ref appTerm appTerm 6976 def 6945 remove 3474 remove appTerm appTerm refl appThm trans 6957 remove 6970 remove assume 6977 def appThm eqMp sym 96 ref 6959 ref 846 ref subst appThm 6978 def 6961 remove 3475 ref appThm 6962 ref 838 ref subst 6959 ref 3822 ref subst trans trans appThm 6959 ref 851 ref subst trans sym 81 ref eqMp eqMp eqMp nil 379 ref 6971 remove cons 6979 def 6969 remove cons nil cons cons 395 ref subst deductAntisym eqMp 3184 remove 3133 ref appTerm 6980 def betaConv 3187 remove nil 3188 remove 347 ref 6980 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 3189 remove 789 ref 3154 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 6981 def nil 6979 ref 381 ref 6942 remove cons 6982 def 2464 ref 6947 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp eqMp nil 346 ref 122 ref 6908 remove 6896 ref 1886 ref 1889 ref 6877 remove appTerm 6106 ref appTerm appTerm appTerm 6927 remove appTerm appTerm 6983 def appTerm 6612 remove appTerm nil cons cons 347 ref 6866 remove 6983 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 700 ref 6983 remove nil cons cons 2844 ref 6849 remove cons nil cons cons nil cons cons 94 ref 66 ref 23 ref 2245 ref appTerm 2846 remove appTerm 6984 def absTerm 6985 def 408 ref appTerm 6986 def betaConv 2242 ref 60 ref 6985 ref appTerm 6987 def absTerm 6988 def 2243 ref appTerm 6989 def betaConv nil 60 ref 66 ref 60 ref 2242 ref 6984 ref absTerm 6990 def appTerm 6991 def absTerm 6992 def appTerm 6993 def axiom nil 346 ref 6993 remove nil cons 6994 def cons 6995 def 347 ref 60 ref 6988 ref appTerm nil cons 6996 def cons nil cons cons nil cons cons 6997 def 403 ref subst proveHyp 6997 ref 362 ref subst 6997 remove 412 ref subst nil 61 ref 6988 remove nil cons cons 6998 def nil cons nil cons cons 75 ref subst 2242 ref nil 77 ref 6987 remove nil cons 6999 def cons nil cons nil cons cons 82 ref subst nil 61 ref 6985 remove nil cons cons 7000 def nil cons nil cons cons 75 remove subst 66 ref nil 77 ref 6984 remove nil cons cons nil cons nil cons cons 82 ref subst 6990 ref 2243 ref appTerm 7001 def betaConv 6992 ref 408 ref appTerm 7002 def betaConv nil 6995 remove 347 ref 7002 remove nil cons cons nil cons cons nil cons cons 403 ref subst 813 ref 61 ref 6992 remove nil cons cons 1156 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6991 remove nil cons cons 347 ref 7001 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 6990 remove nil cons cons 2853 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 379 ref 6994 remove cons 381 ref 6996 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 6996 remove cons 347 ref 6989 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 6998 remove 2853 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6999 remove cons 347 ref 6986 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 7000 remove 1156 ref cons nil cons cons 414 ref subst eqMp eqMp 7003 def subst subst eqMp eqMp eqMp proveHyp eqMp eqMp nil 379 ref 6872 ref cons 381 ref 6868 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 269 ref 6871 remove appTerm nil cons cons 347 ref 23 ref 6865 remove appTerm 6867 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 6868 remove cons 347 ref 6872 remove cons 6870 ref nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp appThm eqMp eqMp eqMp proveHyp eqMp eqMp eqMp nil 379 ref 6824 ref cons 381 ref 6820 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 266 ref 6823 remove appTerm nil cons cons 347 ref 23 ref 6817 remove appTerm 6819 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 6820 remove cons 347 ref 6824 remove cons 6822 ref nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp eqMp 93 ref 90 ref 6699 ref nil cons cons 700 ref 6704 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 6699 remove appTerm nil cons cons 347 ref 6697 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5926 ref 6332 ref nil cons cons 7004 def 700 ref 6695 remove nil cons cons nil cons cons nil cons cons 5979 ref subst eqMp eqMp eqMp nil 379 ref 6688 ref cons 7005 def 381 ref 6683 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 4667 ref 6687 remove appTerm nil cons cons 347 ref 23 ref 6681 remove appTerm 7006 def 6659 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 6683 remove cons 347 ref 6688 remove cons 6685 ref nil cons cons 7007 def cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp nil 379 ref 6653 ref cons 381 ref 6649 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 4662 remove 6652 remove appTerm nil cons cons 347 ref 23 ref 6648 remove appTerm 6624 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 6649 remove cons 347 ref 6653 remove cons 6651 ref nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp nil 379 ref 6618 ref cons 381 ref 6567 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 4672 ref 6617 remove appTerm nil cons cons 347 ref 23 ref 6615 remove appTerm 6566 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 6567 remove cons 347 ref 6618 remove cons 6616 ref nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp 93 ref 90 ref 6539 ref nil cons cons 700 ref 6544 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 6539 remove appTerm nil cons cons 347 ref 6537 remove 6332 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 7004 remove 700 ref 6536 remove nil cons cons nil cons cons nil cons cons 5979 ref subst eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp nil 379 ref 6346 remove cons 381 ref 6349 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 6339 remove cons 381 ref 6334 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp 383 ref "_33709" 2 ref var 7008 def 7008 remove varTerm absTerm 7009 def 707 ref 1400 ref 6309 ref appTerm 1447 ref appTerm 7010 def appTerm 6323 ref appTerm 99 ref 5254 ref 5536 remove 5263 ref 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 5275 ref 5280 ref 5283 ref 5539 remove 5540 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 664 ref appTerm 7011 def appTerm absTerm appTerm 7012 def appTerm appTerm betaConv appThm 1017 ref 23 ref 7010 ref appTerm 7013 def refl 7009 ref 6323 ref appTerm betaConv appThm appThm 23 ref 38 ref 7010 ref appTerm 7014 def appTerm 7015 def refl 7009 ref 7012 ref appTerm betaConv appThm appThm appThm nil 6161 ref 7012 ref nil cons 7016 def cons 6162 ref 6324 ref cons 5693 ref 7010 remove nil cons 7017 def cons nil cons cons cons nil cons cons nil 6166 ref 7009 remove nil cons cons nil cons nil cons cons 6167 ref subst 7018 def subst eqMp sym nil 346 ref 7017 ref cons 347 ref 6324 ref cons nil cons cons nil cons cons 7019 def 362 ref subst 7019 remove 412 ref subst 1519 ref nil 6282 ref 1442 ref 5531 ref nil cons 7020 def cons 1308 ref 5527 remove nil cons 7021 def cons nil cons cons cons nil cons cons 2148 ref subst 2897 ref 6333 remove assume 6798 remove trans 7022 def appThm 2263 ref appThm trans appThm nil 5903 ref 6293 ref 5365 remove cons cons nil cons cons 7023 def 2148 ref subst 7024 def appThm sym 1519 ref nil 6282 ref 1442 ref 5902 remove cons 1308 ref 6305 remove cons nil cons 7025 def cons cons nil cons cons 3053 ref subst nil 1980 ref 6700 remove 1447 ref appTerm nil cons cons 6284 ref cons nil cons cons 3053 ref subst trans appThm 7023 remove 3053 ref subst appThm sym 1519 ref 5239 ref refl 5246 ref refl nil 6707 remove nil cons cons 1533 ref subst appThm appThm appThm 6322 remove refl appThm sym 1519 ref nil 1980 ref 1525 ref 5579 remove appTerm nil cons cons 6284 ref cons nil cons cons 2148 ref subst nil 5903 ref 7025 ref cons nil cons cons 2148 ref subst trans appThm 7024 remove appThm nil 1442 ref 5250 ref nil cons cons 5903 remove 1308 ref 6306 remove cons nil cons cons cons nil cons cons 2161 ref subst trans sym 6285 remove 3053 ref subst 6281 ref trans eqMp eqMp eqMp eqMp eqMp nil 379 ref 7017 remove cons 381 ref 6324 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 7013 remove 6323 remove appTerm nil cons cons 347 ref 7015 ref 7012 ref appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 7014 remove nil cons 7026 def cons 7027 def 347 ref 7016 ref cons nil cons 7028 def cons nil cons cons 7029 def 362 ref subst 7029 ref 412 ref subst nil 7027 remove 347 ref 5694 remove cons nil cons cons nil cons cons 403 ref subst nil 6709 remove 347 ref 7015 remove 5578 ref appTerm nil cons 7030 def cons nil cons 7031 def cons nil cons cons 7032 def 362 ref subst 7032 remove 412 ref subst 56 ref "_33717" 2 ref var 7033 def 23 ref 38 ref 1400 ref 6308 ref 2197 ref 7033 remove varTerm 7034 def appTerm 135 ref appTerm 134 ref appTerm appTerm appTerm 1447 ref appTerm appTerm appTerm 7034 remove appTerm absTerm 7035 def 5578 remove appTerm 7036 def appTerm refl 7037 def 7035 ref 664 ref appTerm betaConv appThm 383 ref 7036 remove betaConv appThm 7038 def 23 ref 38 ref 1400 ref 6308 ref 5925 remove appTerm appTerm 1447 ref appTerm 7039 def appTerm 7040 def appTerm 664 ref appTerm refl appThm trans 7035 remove refl 7041 def 6722 remove appThm eqMp sym nil 77 ref 7040 remove nil cons cons nil cons nil cons cons 838 ref subst nil 77 ref 7039 remove nil cons cons nil cons nil cons cons 3822 ref subst trans 2536 ref 6308 ref refl 7042 def 3418 remove appThm nil 1308 ref 6276 ref cons nil cons nil cons cons 7043 def 1317 ref subst trans appThm 2263 ref appThm 6304 ref trans trans sym 81 ref eqMp eqMp eqMp nil 6761 remove 381 ref 7030 ref cons nil cons 7044 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 6765 remove 7031 remove cons nil cons cons 7045 def 362 ref subst 7045 remove 412 ref subst 7037 remove "_33715" 2 ref var 7046 def 23 ref 38 ref 1400 ref 6308 ref 2197 remove 7046 remove varTerm 7047 def appTerm 135 ref appTerm 134 ref appTerm appTerm appTerm 1447 ref appTerm appTerm appTerm 7047 remove appTerm absTerm 67 ref appTerm betaConv appThm 7038 remove 23 ref 38 ref 1400 ref 6308 ref 5913 remove appTerm appTerm 1447 ref appTerm appTerm 7048 def appTerm 67 ref appTerm refl appThm trans 7041 remove 6771 remove appThm eqMp sym nil 77 ref 7048 remove nil cons cons nil cons nil cons cons 6966 ref subst sym 81 ref eqMp eqMp eqMp nil 6793 ref 7044 remove cons nil cons cons 395 ref subst deductAntisym eqMp 6795 remove nil 6793 remove 6796 remove 2464 ref 7030 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp 7029 remove 403 ref subst 96 ref nil 1308 ref 6309 remove nil cons cons nil cons nil cons cons 3478 ref subst 5090 ref 7042 remove 3254 remove 5790 ref appThm 3255 ref appThm 2788 ref appThm 3259 remove trans 7049 def appThm 7050 def appThm trans appThm 7012 remove refl appThm sym nil 346 ref 1985 ref 6308 remove 135 ref appTerm 7051 def appTerm 7052 def nil cons 7053 def cons 7028 remove cons nil cons cons 7054 def 362 ref subst 7054 remove 412 ref subst 1017 ref 5256 ref 2088 ref appTerm 7055 def betaConv 5090 ref 6311 remove 7050 remove trans appThm nil 77 ref 7053 ref cons nil cons nil cons cons 82 ref subst 7052 remove assume eqMp 7056 def trans trans appThm 1432 ref 1308 ref 96 ref 2758 ref 1621 ref subst appThm 839 ref 5256 ref 1310 ref appTerm 7057 def betaConv appThm 7058 def nil 1442 ref 2254 ref 1310 ref appTerm 7059 def nil cons 7060 def cons 1950 ref cons nil cons cons 5114 ref subst trans appThm absThm appThm appThm nil 77 ref 19 ref 1308 ref 23 ref 1613 remove 1487 ref appTerm 7061 def appTerm 1400 ref 7059 ref appTerm 1447 ref appTerm 7062 def appTerm 7063 def absTerm 7064 def appTerm nil cons cons nil cons nil cons cons 1026 ref subst trans sym nil 90 ref 7064 remove nil cons cons nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 7063 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7061 remove nil cons 7065 def cons 7066 def 347 ref 7062 remove nil cons 7067 def cons nil cons 7068 def cons nil cons cons 7069 def 362 ref subst 7069 remove 412 ref subst 6286 ref 24 ref 1612 ref 7059 ref appTerm 7070 def 6287 ref appTerm appTerm 1400 ref 6287 ref appTerm 1447 ref appTerm 7071 def appTerm absTerm 7072 def 5234 ref appTerm betaConv sym 24 ref 7070 remove 5234 ref appTerm 7073 def appTerm refl 6304 ref appThm nil 77 ref 7073 remove nil cons 7074 def cons nil cons nil cons cons 1690 ref subst trans sym nil 7066 remove 347 ref 7074 remove cons nil cons cons nil cons cons 403 ref subst nil 4890 ref 1970 ref cons 4889 ref 1315 ref cons nil cons cons nil cons cons 4890 ref 4894 remove 1612 ref 2254 ref 4891 ref appTerm appTerm 2254 ref 4892 ref appTerm appTerm appTerm absTerm 7075 def 4892 remove appTerm 7076 def betaConv 4889 ref 19 ref 7075 ref appTerm 7077 def absTerm 7078 def 4891 remove appTerm 7079 def betaConv nil 346 ref 19 ref 7078 ref appTerm 7080 def nil cons 7081 def cons 7082 def 347 ref 7079 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 7078 remove nil cons cons 4989 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7077 remove nil cons cons 347 ref 7076 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7075 remove nil cons cons 700 ref 4990 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 7083 def subst eqMp eqMp eqMp 93 ref 90 ref 7072 ref nil cons cons 6277 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 7072 remove appTerm nil cons cons 7068 remove cons nil cons cons 403 ref subst proveHyp nil 6282 ref 1308 ref 7060 remove cons nil cons cons nil cons cons 1980 ref 23 ref 99 ref 1442 ref 2623 remove 2031 ref appTerm 7084 def absTerm 7085 def appTerm 7086 def appTerm 7087 def 2550 ref appTerm 7088 def absTerm 7089 def 1986 ref appTerm 7090 def betaConv 1308 ref 19 ref 7089 ref appTerm 7091 def absTerm 7092 def 1310 ref appTerm 7093 def betaConv nil 19 ref 1308 ref 19 ref 1442 ref 19 ref 1980 ref 23 ref 7084 ref appTerm 2550 ref appTerm absTerm 7094 def appTerm 7095 def absTerm 7096 def appTerm 7097 def absTerm 7098 def appTerm 7099 def axiom nil 346 ref 7099 ref nil cons 7100 def cons 7101 def 347 ref 19 ref 7092 ref appTerm nil cons 7102 def cons nil cons cons nil cons cons 7103 def 403 ref subst proveHyp 7103 ref 362 ref subst 7103 remove 412 ref subst nil 90 ref 7092 remove nil cons cons 7104 def nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 7091 remove nil cons 7105 def cons nil cons nil cons cons 82 ref subst nil 90 ref 7089 remove nil cons cons 7106 def nil cons nil cons cons 95 ref subst 1980 ref nil 77 ref 7088 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7086 remove nil cons 7107 def cons 7108 def 2573 ref cons nil cons cons 7109 def 362 ref subst 7109 remove 412 ref subst nil 7101 ref 2573 ref cons nil cons cons 7110 def 403 ref subst nil 7108 remove 347 ref 23 ref 7099 remove appTerm 2550 remove appTerm 7111 def nil cons 7112 def cons nil cons 7113 def cons nil cons cons 403 ref subst nil 90 ref 1442 ref 23 ref 7085 ref 1447 ref appTerm 7114 def appTerm 7111 ref appTerm 7115 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 7115 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7114 ref nil cons 7116 def cons 7113 ref cons nil cons cons 7117 def 362 ref subst 7117 remove 412 ref subst 7114 ref betaConv 7114 remove assume eqMp nil 346 ref 7084 remove nil cons 7118 def cons 7119 def 7113 remove cons nil cons cons 7120 def 403 ref subst proveHyp 7120 ref 362 ref subst 7120 remove 412 ref subst 7110 ref 362 ref subst 7110 remove 412 ref subst nil 7119 remove 2573 remove cons nil cons cons 403 ref subst 7094 ref 1986 ref appTerm 7121 def betaConv 7096 ref 1447 ref appTerm 7122 def betaConv 7098 ref 1310 ref appTerm 7123 def betaConv nil 7101 remove 347 ref 7123 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 7098 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7097 remove nil cons cons 347 ref 7122 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7096 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7095 remove nil cons cons 347 ref 7121 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7094 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 7100 remove cons 7124 def 2590 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7118 remove cons 381 ref 7112 remove cons nil cons 7125 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 7116 remove cons 7125 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 7085 ref 963 ref appTerm appTerm 7111 ref appTerm absTerm appTerm nil cons cons 347 ref 7087 remove 7111 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7085 remove nil cons cons 7125 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 7107 remove cons 2590 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 7124 remove 381 ref 7102 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 7102 remove cons 347 ref 7093 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 7104 remove 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7105 remove cons 347 ref 7090 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 7106 remove 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 7126 def subst eqMp eqMp nil 379 ref 7065 remove cons 381 ref 7067 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 346 ref 24 ref 7055 remove appTerm 19 ref 1308 ref 23 ref 1450 ref 2088 ref appTerm appTerm 38 ref 7057 remove appTerm 7127 def appTerm absTerm appTerm appTerm nil cons cons 347 ref 122 ref 5257 ref appTerm 2088 ref appTerm 7128 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5770 ref 1823 ref 5256 ref nil cons 7129 def cons nil cons cons nil cons cons 2780 remove subst eqMp 56 ref "_33719" 16 ref var 7130 def 99 ref 5254 ref 24 ref 122 ref 130 ref 7130 remove varTerm appTerm 5258 ref appTerm appTerm 2088 ref appTerm appTerm 7011 ref appTerm absTerm appTerm absTerm 7131 def 5257 ref appTerm 7132 def appTerm refl 7131 ref 2088 ref appTerm betaConv appThm 383 ref 7132 remove betaConv appThm 99 ref 5254 ref 24 ref 122 ref 130 ref 2088 ref appTerm 5258 ref appTerm appTerm 2088 ref appTerm appTerm 7011 remove appTerm absTerm 7133 def appTerm refl appThm trans 7131 remove refl 7128 remove assume appThm eqMp sym 2077 ref refl nil 6293 remove 3643 ref cons nil cons cons 1533 ref subst appThm sym nil 1442 ref 7051 ref nil cons cons 1950 ref cons nil cons cons 2637 ref subst sym 1017 ref 7056 remove appThm 1612 ref 7051 remove appTerm 1447 ref appTerm 7134 def refl appThm nil 77 ref 7134 remove nil cons cons nil cons nil cons cons 1026 ref subst trans sym 2012 ref 7043 ref 1439 ref subst appThm 2263 ref appThm 7043 ref 2028 ref subst 6304 remove trans trans sym 81 ref eqMp eqMp eqMp eqMp 7133 ref 134 ref appTerm betaConv sym 1017 ref 1519 ref nil 5889 remove nil cons cons 1317 ref subst appThm 2088 ref refl 7135 def appThm 5777 ref trans appThm 753 ref 6888 ref 2763 remove subst appThm 4748 ref 5264 ref 4748 ref 5265 ref 3913 ref 5266 ref 1017 ref 5267 ref refl 7136 def 6391 ref appThm 7137 def 1426 remove 1308 ref 122 ref 4042 ref 1310 ref appTerm 134 ref appTerm appTerm 1310 ref appTerm absTerm 7138 def 1310 ref appTerm 7139 def betaConv nil 19 ref 7138 ref appTerm 7140 def axiom nil 346 ref 7140 remove nil cons cons 347 ref 7139 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7138 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp 7141 def subst 7142 def appThm 5273 ref refl 7143 def appThm appThm 1017 ref 210 ref 134 ref appTerm 7144 def refl 7145 def nil 1308 ref 5497 ref cons 7146 def nil cons 7147 def nil cons cons 7141 remove subst appThm 5278 ref refl 7148 def appThm appThm 24 ref 206 ref 5281 ref appTerm appTerm 7149 def refl 1017 ref 5538 ref refl 2062 ref 7142 remove appThm appThm appThm 5540 ref refl appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm appThm 664 ref refl 7150 def appThm nil 794 ref 668 ref cons 796 ref 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 24 ref 5267 ref 135 ref appTerm 131 ref appTerm 7151 def 5273 ref appTerm appTerm 24 ref 7144 ref 136 ref appTerm 7152 def 5278 ref appTerm appTerm 7153 def 7149 ref 24 ref 5538 remove 6190 ref appTerm appTerm 5540 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 7154 def appTerm 7155 def nil cons 7156 def cons nil cons cons nil cons cons 817 ref subst trans appThm nil 77 ref 7156 ref cons nil cons nil cons cons 1026 ref subst trans sym 2012 ref nil 1443 ref 3643 ref cons nil cons cons 1533 ref subst appThm 7157 def 158 ref refl appThm sym 1612 ref 136 ref appTerm 7158 def refl 7159 def 4638 remove assume 7160 def appThm 5500 ref 3627 ref subst 7161 def trans sym 81 ref eqMp eqMp nil 346 ref 1612 ref 6371 ref appTerm 7162 def 158 ref appTerm nil cons cons 347 ref 101 ref "sr1" 8 ref var 7163 def 7151 remove 7163 ref varTerm 7164 def appTerm 7165 def absTerm 7166 def appTerm 7167 def nil cons 7168 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1443 ref 1486 ref 1506 ref cons 7169 def 5421 ref cons cons nil cons cons 1442 ref 23 ref 1612 ref 1492 remove 1447 ref appTerm appTerm 7170 def 1078 ref appTerm appTerm 101 ref 1477 ref 1490 ref absTerm appTerm appTerm absTerm 7171 def 1447 ref appTerm 7172 def betaConv 1486 ref 19 ref 7171 ref appTerm 7173 def absTerm 7174 def 1487 ref appTerm 7175 def betaConv 415 ref 19 ref 7174 ref appTerm 7176 def absTerm 7177 def 857 ref appTerm 7178 def betaConv nil 11 ref 7177 ref appTerm 7179 def axiom 7180 def nil 346 ref 7179 remove nil cons cons 7181 def 347 ref 7178 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 7177 ref nil cons cons 7182 def 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7176 remove nil cons cons 347 ref 7175 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7174 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7173 remove nil cons cons 347 ref 7172 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7171 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 7183 def subst eqMp nil 346 ref 7168 remove cons 347 ref 7156 ref cons nil cons 7184 def cons nil cons cons 403 ref subst nil 83 ref 7163 ref 23 ref 7166 ref 7164 ref appTerm 7185 def appTerm 7155 ref appTerm 7186 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 7163 remove nil 77 ref 7186 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7185 ref nil cons 7187 def cons 7184 ref cons nil cons cons 7188 def 362 ref subst 7188 remove 412 ref subst 7185 ref betaConv 7185 remove assume eqMp nil 346 ref 7165 ref nil cons 7189 def cons 7184 ref cons nil cons cons 7190 def 403 ref subst proveHyp 7190 ref 362 ref subst 7190 remove 412 ref subst 3387 ref refl 7191 def 5995 ref 1440 ref trans 7192 def appThm 6888 ref 3399 ref subst 7193 def trans sym 81 ref eqMp nil 346 ref 3387 ref 162 ref appTerm nil cons cons 347 ref 108 ref 119 ref 208 ref absTerm 7194 def appTerm 7195 def nil cons 7196 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 6377 ref 5471 ref cons nil cons cons 1560 ref subst eqMp nil 346 ref 7196 remove cons 7184 ref cons nil cons cons 403 ref subst nil 5 ref 119 ref 23 ref 7194 ref 207 ref appTerm 7197 def appTerm 7155 ref appTerm 7198 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 119 ref nil 77 ref 7198 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7197 ref nil cons 7199 def cons 7184 ref cons nil cons cons 7200 def 362 ref subst 7200 remove 412 ref subst 7197 ref betaConv 7197 remove assume eqMp nil 346 ref 626 ref cons 7184 remove cons nil cons cons 7201 def 403 ref subst proveHyp 7201 ref 362 ref subst 7201 remove 412 ref subst 7154 ref 7164 ref appTerm betaConv sym 5265 ref 108 ref 5266 ref 24 ref 7165 ref appTerm 7202 def 7153 remove 7149 ref 24 ref 122 ref 130 ref 1886 ref 1889 ref 7164 ref appTerm 7203 def 5525 ref appTerm 7204 def appTerm 7205 def appTerm 7206 def 5537 remove appTerm appTerm 6190 ref appTerm appTerm 5540 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 7207 def 161 ref appTerm betaConv sym 5266 ref 7202 remove 24 ref 7152 remove 161 ref appTerm 7208 def appTerm 7209 def 7149 remove 24 ref 122 ref 7206 remove 5530 ref appTerm 7210 def appTerm 6190 ref appTerm 7211 def appTerm 7212 def 5540 remove appTerm appTerm appTerm appTerm absTerm 7213 def 207 ref appTerm betaConv sym 1017 ref nil 77 ref 7189 ref cons nil cons nil cons cons 82 ref subst 7165 remove assume eqMp 7214 def appThm 7209 ref refl 1017 ref nil 77 ref 626 remove cons nil cons nil cons cons 82 ref subst 208 remove assume eqMp 7215 def appThm 7216 def 7212 remove 26 ref 207 ref appTerm 7217 def 5525 ref appTerm 7218 def appTerm 7219 def refl 7220 def appThm nil 77 ref 7219 ref nil cons cons nil cons nil cons cons 1026 ref subst 7221 def trans appThm appThm nil 77 ref 7209 remove 7219 remove appTerm 7222 def nil cons 7223 def cons nil cons nil cons cons 1026 ref subst trans sym 1477 ref 56 ref 7144 remove 162 ref appTerm 7224 def 1478 ref appTerm appTerm 6353 remove 161 ref appTerm appTerm absTerm 7225 def 161 ref appTerm 7226 def betaConv 6363 ref 161 ref appTerm 7227 def betaConv 6365 remove nil 346 ref 6364 remove nil cons cons 347 ref 7227 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 6363 remove nil cons cons 5471 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 7225 ref appTerm nil cons cons 347 ref 7226 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 7225 remove nil cons cons 5471 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 56 ref 7224 remove 161 ref appTerm appTerm 4287 ref 161 ref appTerm 161 ref appTerm appTerm nil cons cons 347 ref 7223 ref cons nil cons 7228 def cons nil cons cons 403 ref subst proveHyp 96 ref 383 ref 7145 remove 5995 ref appThm 161 ref refl appThm appThm nil 5471 ref nil cons cons 7229 def 86 ref 2335 ref subst 7230 def subst appThm nil 77 ref 7208 ref nil cons 7231 def cons nil cons nil cons cons 7232 def 1539 ref subst trans appThm 7222 remove refl appThm sym nil 346 ref 7231 ref cons 7228 remove cons nil cons cons 7233 def 362 ref subst 7233 remove 412 ref subst 1017 ref 7232 remove 82 ref subst 7208 remove assume eqMp appThm 7220 remove appThm 7221 remove trans sym 7191 ref 7160 ref 1440 ref trans appThm 7193 ref trans sym 81 ref eqMp nil 346 ref 3387 ref 158 ref appTerm nil cons cons 347 ref 108 ref "sr0" 1 ref var 7234 def 167 ref 157 ref appTerm 7235 def 134 ref appTerm 7234 ref varTerm 7236 def appTerm 7237 def absTerm 7238 def appTerm 7239 def nil cons 7240 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 6377 ref 5421 ref cons 7241 def nil cons cons 1560 ref subst eqMp 7242 def nil 346 ref 7240 remove cons 7243 def 347 ref 6758 ref cons nil cons 7244 def cons nil cons cons 403 ref subst nil 5 ref 7234 ref 23 ref 7238 ref 7236 ref appTerm 7245 def appTerm 7246 def 6645 ref appTerm 7247 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 7234 ref nil 77 ref 7247 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7245 ref nil cons 7248 def cons 7249 def 7244 ref cons nil cons cons 7250 def 362 ref subst 7250 remove 412 ref subst 7245 ref betaConv 7245 remove assume eqMp 7251 def nil 346 ref 7237 ref nil cons 7252 def cons 7253 def 7244 ref cons nil cons cons 7254 def 403 ref subst proveHyp 7254 ref 362 ref subst 7254 remove 412 ref subst 56 ref "_33791" 16 ref var 7255 def 122 ref 5239 ref 5246 ref 7255 remove varTerm appTerm appTerm appTerm 5250 ref appTerm absTerm 7256 def 1447 ref appTerm 7257 def appTerm refl 7256 ref 1467 ref 5234 ref appTerm 7258 def appTerm betaConv appThm 383 ref 7257 remove betaConv appThm 122 ref 5239 ref 5246 ref 7258 ref appTerm appTerm appTerm 5250 ref appTerm 7259 def refl appThm trans 7256 remove refl 2077 remove 7258 ref appTerm assume appThm eqMp 6281 remove eqMp 7260 def nil 346 ref 7259 remove nil cons cons 347 ref 26 ref 7236 ref appTerm 7261 def 1905 ref appTerm 7262 def nil cons 7263 def cons nil cons 7264 def cons nil cons cons 403 ref subst proveHyp 96 ref 1519 ref nil 1980 ref 7258 remove nil cons cons 6284 ref cons nil cons cons 2148 ref subst nil 1980 ref 6276 remove cons 7265 def 1520 ref 7025 remove cons 7266 def cons nil cons cons 2148 ref subst trans appThm 5250 remove refl appThm nil 1442 ref 5364 remove cons 7267 def 7265 remove 1308 ref 6290 ref 135 ref appTerm nil cons cons nil cons 7268 def cons cons nil cons cons 2161 ref subst trans 7269 def appThm 7262 ref refl 7270 def appThm sym 96 ref nil 7267 ref 7268 ref cons nil cons cons 1442 ref 2622 remove 3333 remove appTerm 7271 def absTerm 7272 def 1447 ref appTerm 7273 def betaConv 1308 ref 19 ref 7272 ref appTerm 7274 def absTerm 7275 def 1310 ref appTerm 7276 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 7271 remove assume sym 3334 remove assume sym deductAntisym absThm appThm absThm appThm 3341 remove eqMp nil 346 ref 19 ref 7275 ref appTerm nil cons cons 347 ref 7276 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7275 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7274 remove nil cons cons 347 ref 7273 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7272 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm 7270 ref appThm sym 96 ref 1519 ref nil 7268 remove nil cons cons 1673 ref subst nil 1980 ref 1506 remove cons 7277 def 7266 remove cons nil cons cons 3053 ref subst nil 1980 ref 1467 ref 135 ref appTerm 7278 def nil cons 7279 def cons 6284 remove cons nil cons cons 3053 ref subst trans trans appThm 5366 ref 1673 ref subst appThm appThm 7270 ref appThm sym 122 ref 7278 ref appTerm 7280 def refl 6791 ref 6792 remove trans appThm nil 700 ref 7279 remove cons nil cons nil cons cons 2745 ref subst trans sym 81 ref eqMp 56 ref "_33803" 16 ref var 7281 def 23 ref 122 ref 5239 ref 5246 ref 7281 remove varTerm appTerm appTerm appTerm 5249 remove 135 ref appTerm 7282 def appTerm appTerm 7262 ref appTerm absTerm 7283 def 7278 remove appTerm 7284 def appTerm refl 7283 ref 5241 ref 135 ref appTerm 7285 def appTerm betaConv appThm 383 ref 7284 remove betaConv appThm 23 ref 122 ref 5239 remove 5246 remove 7285 ref appTerm 7286 def appTerm appTerm 7282 ref appTerm appTerm 7262 ref appTerm refl appThm trans 7283 remove refl 7280 remove 7285 ref appTerm assume appThm eqMp sym nil 5420 ref 1477 ref 4277 ref 4278 ref 7236 ref appTerm 7287 def appTerm 7164 ref appTerm 7288 def nil cons cons nil cons cons nil cons cons 6366 ref subst sym 1519 ref 7160 ref appThm 6371 ref refl appThm sym 6373 ref eqMp 56 ref "_33807" 16 ref var 7289 def 5267 ref 134 ref appTerm 7290 def 7289 remove varTerm appTerm 7288 ref appTerm absTerm 7291 def 158 ref appTerm 7292 def appTerm refl 7291 ref 6371 ref appTerm betaConv appThm 383 ref 7292 remove betaConv appThm 7290 ref 6371 ref appTerm 7288 ref appTerm 7293 def refl appThm trans 7291 remove refl 159 ref 6371 ref appTerm assume appThm eqMp sym 1017 ref nil 1054 ref 7236 ref nil cons 7294 def cons 7295 def 7241 remove cons nil cons cons 6389 ref subst appThm 7137 remove 6392 ref appThm 7164 ref refl appThm appThm sym 1017 ref nil 77 ref 7252 ref cons nil cons nil cons cons 82 ref subst 7237 remove assume eqMp appThm 7296 def 7214 remove appThm 1030 ref trans sym 81 ref eqMp eqMp nil 346 ref 24 ref 7290 remove 135 ref appTerm 7287 ref appTerm appTerm 5267 ref 6395 ref appTerm 131 ref appTerm 7164 ref appTerm appTerm nil cons cons 347 ref 7293 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5396 ref 7164 remove nil cons 7297 def cons 1477 ref 7287 remove nil cons cons 1443 ref 3642 ref 6397 ref 5421 ref cons cons cons cons cons nil cons cons 6450 ref subst eqMp eqMp proveHyp eqMp 7298 def 56 ref "_33805" 8 ref var 7299 def 23 ref 122 ref 130 ref 1886 ref 1889 ref 7299 remove varTerm appTerm 1905 ref appTerm appTerm appTerm 7286 ref appTerm appTerm 7282 ref appTerm appTerm 7262 ref appTerm absTerm 7300 def 157 ref appTerm 7301 def appTerm refl 7300 ref 7288 ref appTerm betaConv appThm 383 ref 7301 remove betaConv appThm 23 ref 122 ref 130 ref 1886 ref 1889 ref 7288 ref appTerm 7302 def 1905 ref appTerm appTerm appTerm 7286 ref appTerm appTerm 7282 ref appTerm appTerm 7262 ref appTerm refl appThm trans 7300 remove refl 4287 ref 7288 ref appTerm 157 ref appTerm assume sym 7303 def appThm eqMp sym 96 ref 1519 ref 2897 ref 5361 ref nil 6142 ref 415 ref 7297 remove cons 7304 def 7295 remove nil cons cons 7305 def cons nil cons cons 6487 ref subst appThm nil 6488 ref 7203 remove 1905 ref appTerm 7306 def nil cons cons 6491 ref 7263 ref cons nil cons 7307 def cons nil cons cons 6506 ref subst nil 20 ref 1886 ref 7306 remove appTerm 7308 def nil cons 7309 def cons 7307 ref cons nil cons cons 6520 ref subst trans trans appThm 7286 ref refl appThm appThm 7282 ref refl 7310 def appThm appThm 7270 ref appThm sym 96 ref 1519 ref nil 1980 ref 7286 remove nil cons cons 1442 ref 5241 ref 7308 ref appTerm 7311 def nil cons cons 1308 ref 6510 ref 7262 ref appTerm 7312 def nil cons cons nil cons cons cons nil cons cons 3053 ref subst 130 ref 7312 remove appTerm refl 130 ref 7311 remove appTerm refl nil 7277 ref 6221 remove 5509 ref cons cons nil cons cons 1980 ref 122 ref 6547 remove appTerm 6546 remove appTerm 7313 def absTerm 7314 def 1986 ref appTerm 7315 def betaConv 1442 ref 19 ref 7314 ref appTerm 7316 def absTerm 7317 def 1447 ref appTerm 7318 def betaConv 1308 ref 19 ref 7317 ref appTerm 7319 def absTerm 7320 def 1310 ref appTerm 7321 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 1432 ref 1980 ref 7313 remove assume sym 6548 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 6558 remove eqMp nil 346 ref 19 ref 7320 ref appTerm nil cons cons 347 ref 7321 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7320 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7319 remove nil cons cons 347 ref 7318 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7317 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7316 remove nil cons cons 347 ref 7315 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7314 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp 7322 def subst appThm nil 1980 ref 130 ref 5244 remove appTerm 135 ref appTerm 7323 def nil cons cons 1442 ref 7309 remove cons 5509 ref cons cons nil cons cons 7322 ref subst trans appThm trans appThm 7310 ref appThm appThm 7270 ref appThm sym 96 ref 1519 ref nil 20 ref 130 ref 7308 remove appTerm 7323 remove appTerm 7324 def nil cons 7325 def cons 7307 remove cons nil cons cons 20 ref 122 ref 6511 remove appTerm 6509 remove appTerm 7326 def absTerm 7327 def 29 ref appTerm 7328 def betaConv 6491 ref 19 ref 7327 ref appTerm 7329 def absTerm 7330 def 6495 remove appTerm 7331 def betaConv 3207 ref 6491 ref 1432 ref 20 ref 7326 remove assume sym 6512 remove assume sym deductAntisym absThm appThm absThm appThm 6519 remove eqMp nil 346 ref 785 ref 7330 ref appTerm nil cons cons 347 ref 7331 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 7330 remove nil cons cons 6505 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7329 remove nil cons cons 347 ref 7328 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7327 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp 7332 def subst appThm 7310 remove appThm appThm 7270 ref appThm sym 1519 ref 5366 remove 1439 ref subst 1939 ref 2062 ref 1440 ref appThm 7333 def 6248 remove 6259 ref 1447 ref appTerm 7334 def betaConv 6261 ref 1310 ref appTerm 7335 def betaConv 6263 remove nil 346 ref 6262 remove nil cons cons 347 ref 7335 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6261 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6260 remove nil cons cons 347 ref 7334 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6259 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 7336 def subst trans appThm trans appThm nil 20 ref 6222 ref cons 7337 def 6491 ref 1028 ref cons nil cons 7338 def cons nil cons cons 6520 ref subst 2897 ref 6753 ref appThm 7339 def 5241 ref 6190 ref appTerm 7340 def refl 7341 def appThm trans appThm sym 122 ref 1377 ref 7340 ref appTerm 7342 def appTerm refl 2897 ref 1941 ref appThm 7343 def 7341 remove appThm nil 1442 ref 7340 remove nil cons cons 7344 def 1308 ref 1351 ref cons nil cons 7345 def cons nil cons cons 2604 ref subst 1939 ref nil 7344 remove nil cons nil cons cons 1715 ref subst appThm trans trans appThm nil 700 ref 7342 remove nil cons cons nil cons nil cons cons 2745 ref subst trans sym 81 ref eqMp eqMp 56 ref "_33809" 16 ref var 7346 def 23 ref 122 ref 6497 ref 7262 ref appTerm 7324 ref appTerm appTerm 7347 def 7346 remove varTerm appTerm appTerm 7262 ref appTerm absTerm 7348 def 7282 ref appTerm 7349 def appTerm refl 7348 ref 6497 ref 67 ref appTerm 7350 def 6190 ref appTerm 7351 def appTerm betaConv appThm 383 ref 7349 remove betaConv appThm 23 ref 7347 remove 7351 ref appTerm appTerm 7262 ref appTerm refl appThm trans 7348 remove refl 122 ref 7282 remove appTerm 7351 remove appTerm assume appThm eqMp sym 96 ref nil 3256 ref 6222 remove cons 7352 def "h2" 2 ref var 7353 def 1028 ref cons 3257 ref 7325 remove cons "h1" 2 ref var 7354 def 7263 ref cons nil cons cons cons cons nil cons cons 3256 ref 56 ref 122 ref 6497 ref 7354 ref varTerm 7355 def appTerm 3257 ref varTerm 7356 def appTerm appTerm 6497 ref 7353 ref varTerm 7357 def appTerm 3256 ref varTerm 7358 def appTerm appTerm 7359 def appTerm 24 ref 56 ref 7355 ref appTerm 7357 ref appTerm appTerm 122 ref 7356 ref appTerm 7358 ref appTerm appTerm 7360 def appTerm 7361 def absTerm 7362 def 7358 ref appTerm 7363 def betaConv 3257 ref 19 ref 7362 ref appTerm 7364 def absTerm 7365 def 7356 ref appTerm 7366 def betaConv 7353 ref 19 ref 7365 ref appTerm 7367 def absTerm 7368 def 7357 ref appTerm 7369 def betaConv 7354 ref 785 ref 7368 ref appTerm 7370 def absTerm 7371 def 7355 ref appTerm 7372 def betaConv nil 785 ref 7371 ref appTerm 7373 def axiom 7374 def nil 346 ref 7373 remove nil cons cons 347 ref 7372 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 7371 remove nil cons cons 789 ref 7355 ref nil cons cons nil cons 7375 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7370 remove nil cons cons 347 ref 7369 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 7368 remove nil cons cons 789 ref 7357 ref nil cons cons nil cons 7376 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7367 remove nil cons cons 347 ref 7366 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7365 remove nil cons cons 700 ref 7356 ref nil cons cons nil cons 7377 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7364 remove nil cons cons 347 ref 7363 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7362 remove nil cons cons 700 ref 7358 ref nil cons cons nil cons 7378 def cons nil cons cons 414 ref subst eqMp eqMp 7379 def subst 1017 ref nil 77 ref 7263 ref cons nil cons nil cons cons 1539 ref subst appThm 122 ref 7324 remove appTerm 6190 remove appTerm 7380 def refl appThm trans appThm 7270 ref appThm sym nil 346 ref 24 ref 7262 ref appTerm 7380 ref appTerm nil cons 7381 def cons 7264 remove cons nil cons cons 7382 def 362 ref subst 7382 remove 412 ref subst nil 379 ref 7263 ref cons 381 ref 7380 remove nil cons cons nil cons cons nil cons cons 395 ref subst eqMp nil 379 ref 7381 remove cons 381 ref 7263 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp eqMp eqMp nil 346 ref 7263 ref cons 7244 remove cons nil cons cons 403 ref subst 383 ref 6628 ref refl 7383 def 6092 ref appThm appThm 7270 ref appThm sym 383 ref 7383 remove 6096 ref appThm appThm 7270 remove appThm sym 415 ref 101 ref 1477 ref 99 ref 1158 ref 1676 ref 24 ref 1162 ref 7236 ref appTerm appTerm 1479 ref 4641 ref appTerm 7384 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 7385 def 157 ref appTerm betaConv sym 1477 ref 99 ref 1158 ref 24 ref 6803 remove appTerm 7386 def 24 ref 7235 ref 1161 ref appTerm 7387 def 7236 ref appTerm appTerm 7388 def 7384 remove appTerm appTerm absTerm appTerm absTerm 7389 def 139 ref appTerm betaConv sym 1158 ref 266 ref 7388 remove 4640 ref 1161 ref appTerm 7390 def 4641 ref appTerm appTerm appTerm absTerm 7391 def 134 ref appTerm betaConv sym 1017 ref nil 77 ref 4848 remove cons nil cons nil cons cons 82 ref subst 265 remove assume eqMp appThm 7392 def 7296 remove nil 77 ref 4817 remove cons nil cons nil cons cons 82 ref subst 4642 ref assume eqMp appThm 1030 ref trans appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 7391 remove nil cons cons 1353 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 7389 remove nil cons cons 6814 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 7385 ref nil cons cons 5421 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 7385 remove appTerm nil cons cons 347 ref 270 ref 7236 remove appTerm 4641 ref appTerm nil cons 7393 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1567 ref 6643 ref cons 1160 ref 7294 ref cons nil cons cons nil cons cons 1789 ref subst eqMp nil 346 ref 7393 remove cons 347 ref 56 ref 6628 remove 6106 ref appTerm appTerm 7262 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 404 ref 7294 remove cons 6142 ref 677 ref 6643 remove cons nil cons cons cons nil cons cons 1819 remove subst eqMp eqMp eqMp nil 346 ref 6723 remove 7262 ref appTerm nil cons cons 347 ref 23 ref 7262 remove appTerm 6645 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 3126 ref 6758 ref cons 789 ref 7263 remove cons nil cons cons nil cons cons nil 6943 remove 347 ref 6944 remove 3136 ref 3133 ref appTerm appTerm 7394 def nil cons 7395 def cons nil cons 7396 def cons nil cons cons 7397 def 362 ref subst 7397 remove 412 ref subst 56 ref "_33112" 2 ref var 7398 def 23 ref 56 ref 7398 remove varTerm 7399 def appTerm 3128 ref appTerm appTerm 3136 ref 7399 remove appTerm appTerm absTerm 7400 def 3133 ref appTerm appTerm refl 7401 def 7400 remove 664 ref appTerm betaConv appThm 383 ref 3126 ref 7394 remove absTerm 7402 def 3133 ref appTerm betaConv appThm 7403 def 6956 remove 3136 ref 664 ref appTerm appTerm refl appThm trans 7402 remove refl 7404 def 6958 remove appThm eqMp sym 6960 remove 6959 ref 838 ref subst appThm 6962 remove 851 ref subst trans sym 81 ref eqMp eqMp eqMp nil 6968 remove 381 ref 7395 ref cons nil cons 7405 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 6972 remove 7396 remove cons nil cons cons 7406 def 362 ref subst 7406 remove 412 ref subst 7401 remove "_33110" 2 ref var 7407 def 23 ref 56 ref 7407 remove varTerm 7408 def appTerm 3128 ref appTerm appTerm 3136 ref 7408 remove appTerm appTerm absTerm 67 ref appTerm betaConv appThm 7403 remove 6976 remove 3136 remove 67 ref appTerm appTerm refl appThm trans 7404 remove 6977 remove appThm eqMp sym 6978 remove 6959 remove 6966 remove subst 7409 def appThm 7409 remove trans sym 81 ref eqMp eqMp eqMp nil 6979 ref 7405 remove cons nil cons cons 395 ref subst deductAntisym eqMp 6981 remove nil 6979 remove 6982 remove 2464 ref 7395 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp proveHyp eqMp nil 379 ref 7252 remove cons 7410 def 381 ref 6758 ref cons nil cons 7411 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 7248 remove cons 7412 def 7411 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 7238 ref 684 ref appTerm appTerm 7413 def 6645 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 7239 remove appTerm 7414 def 6645 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 7238 remove nil cons cons 7415 def 7411 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp 7242 remove nil 7243 remove 347 ref 7211 ref nil cons 7416 def cons nil cons 7417 def cons nil cons cons 403 ref subst nil 5 ref 7234 ref 7246 remove 7211 ref appTerm 7418 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 7234 remove nil 77 ref 7418 remove nil cons cons nil cons nil cons cons 82 ref subst nil 7249 remove 7417 ref cons nil cons cons 7419 def 362 ref subst 7419 remove 412 ref subst 7251 remove nil 7253 remove 7417 remove cons nil cons cons 7420 def 403 ref subst proveHyp 7420 ref 362 ref subst 7420 remove 412 ref subst nil 7352 remove 3257 ref 7210 remove nil cons 7421 def cons 7353 ref 668 ref cons 7422 def 7354 ref 7261 remove 5525 ref appTerm 7423 def nil cons 7424 def cons nil cons cons cons cons nil cons cons 3256 ref 56 ref 7360 remove appTerm 7359 remove appTerm 7425 def absTerm 7426 def 7358 remove appTerm 7427 def betaConv 3257 ref 19 ref 7426 ref appTerm 7428 def absTerm 7429 def 7356 remove appTerm 7430 def betaConv 7353 ref 19 ref 7429 ref appTerm 7431 def absTerm 7432 def 7357 remove appTerm 7433 def betaConv 7354 ref 785 ref 7432 ref appTerm 7434 def absTerm 7435 def 7355 remove appTerm 7436 def betaConv 3207 ref 7354 ref 3207 ref 7353 remove 1432 ref 3257 ref 1432 ref 3256 ref 7425 remove assume sym 7361 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm absThm appThm 7374 remove eqMp nil 346 ref 785 ref 7435 ref appTerm nil cons cons 347 ref 7436 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 7435 remove nil cons cons 7375 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7434 remove nil cons cons 347 ref 7433 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 7432 remove nil cons cons 7376 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7431 remove nil cons cons 347 ref 7430 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7429 remove nil cons cons 7377 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7428 remove nil cons cons 347 ref 7427 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7426 remove nil cons cons 7378 remove cons nil cons cons 414 ref subst eqMp eqMp subst sym 1519 ref nil 20 ref 7421 remove cons 6491 ref 7424 remove cons nil cons 7437 def cons nil cons cons 6520 ref subst 130 ref 6510 ref 7423 ref appTerm 7438 def appTerm 7439 def refl nil 1980 ref 5530 remove nil cons cons 1442 ref 7205 ref nil cons 7440 def cons 5509 ref cons cons nil cons cons 6559 remove subst appThm nil 1980 ref 7020 remove cons 7441 def 1442 ref 5241 ref 7205 remove appTerm 7442 def nil cons cons 1308 ref 7438 remove nil cons cons nil cons cons cons nil cons cons 2148 ref subst trans trans appThm nil 7337 remove 6491 remove 668 ref cons nil cons 7443 def cons nil cons cons 6520 ref subst appThm sym 122 ref 130 ref 7439 remove 7442 remove appTerm 7444 def appTerm 5531 remove appTerm 7445 def appTerm 7446 def refl 2897 ref 6740 ref appThm 7447 def 6264 remove appThm nil 1442 ref 1898 ref 1377 ref 131 ref appTerm 7448 def appTerm 7449 def nil cons 7450 def cons nil cons nil cons cons 1715 ref subst trans appThm sym 2844 ref 24 ref 7446 ref 2866 ref appTerm appTerm 2867 ref 7449 ref appTerm appTerm absTerm 7451 def 6330 ref appTerm betaConv sym nil 1442 ref 7021 remove cons 7441 remove 1308 ref 7444 ref nil cons 7452 def cons nil cons cons cons nil cons cons 2161 ref subst sym 7298 remove 56 ref "_33815" 8 ref var 7453 def 122 ref 7444 remove appTerm 7454 def 1886 ref 1889 ref 7453 remove varTerm appTerm 5525 ref appTerm appTerm appTerm absTerm 7455 def 157 ref appTerm 7456 def appTerm refl 7455 ref 7288 remove appTerm betaConv appThm 383 ref 7456 remove betaConv appThm 7454 ref 1886 ref 7302 remove 5525 ref appTerm appTerm appTerm refl appThm trans 7455 remove refl 7303 remove appThm eqMp sym 7454 remove refl 7457 def 5361 ref nil 6473 remove 7305 remove cons nil cons cons 6487 ref subst appThm nil 6488 ref 7204 remove nil cons cons 7437 ref cons nil cons cons 6506 ref subst trans appThm sym 7457 remove nil 20 ref 7440 remove cons 7437 remove cons nil cons cons 6520 ref subst appThm nil 700 ref 7452 remove cons nil cons nil cons cons 2745 ref subst trans sym 81 ref eqMp eqMp eqMp proveHyp eqMp nil 346 ref 7446 ref 6330 ref appTerm nil cons cons 347 ref 6331 remove 7449 ref appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 1519 ref 7022 remove 6290 remove refl 7049 remove appThm trans appThm 7449 ref refl 7458 def appThm sym 1519 ref 7269 remove 7260 remove eqMp appThm 7458 remove appThm sym 7333 remove eqMp eqMp eqMp eqMp 93 ref 90 ref 7451 ref nil cons cons 700 ref 6330 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 7451 remove appTerm nil cons cons 347 ref 7446 remove 7449 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5926 ref 7450 remove cons 700 ref 7445 remove nil cons cons nil cons cons nil cons cons 5979 ref subst eqMp eqMp eqMp eqMp nil 379 ref 56 ref 7423 remove appTerm 664 ref appTerm nil cons cons 381 ref 7416 ref cons nil cons 7459 def cons nil cons cons 428 ref subst proveHyp eqMp nil 7410 remove 7459 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 7412 remove 7459 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 7413 remove 7211 ref appTerm absTerm appTerm nil cons cons 347 ref 7414 remove 7211 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 7415 remove 7459 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp nil 346 ref 7416 remove cons 347 ref 7218 ref nil cons 7460 def cons nil cons 7461 def cons nil cons cons 412 ref subst proveHyp 20 ref 23 ref 256 ref 196 ref appTerm 7462 def 207 ref appTerm 7463 def appTerm 7464 def 56 ref 7217 ref 29 ref appTerm 7465 def appTerm 7466 def 711 ref 6661 ref appTerm 7467 def appTerm appTerm absTerm 7468 def 5525 ref appTerm 7469 def betaConv 718 ref 19 ref 20 ref 23 ref 7462 remove 719 ref appTerm appTerm 720 ref 7467 remove appTerm appTerm absTerm appTerm absTerm 7470 def 207 ref appTerm 7471 def betaConv 723 ref 196 ref appTerm 7472 def betaConv 742 ref nil 743 ref 347 ref 7472 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 744 ref 6677 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 7470 ref appTerm nil cons cons 347 ref 7471 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 7470 remove nil cons cons 404 ref 207 ref nil cons 7473 def cons nil cons 7474 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 7468 ref appTerm nil cons cons 347 ref 7469 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7468 remove nil cons cons 6020 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7464 remove 56 ref 7218 ref appTerm 6024 remove 6525 ref appTerm appTerm 7475 def appTerm 7476 def nil cons cons 7461 ref cons nil cons cons 403 ref subst proveHyp 415 ref 101 ref 1477 ref 101 ref 5396 ref 99 ref 1158 ref 24 ref 5407 remove appTerm 7477 def 24 ref 1162 ref 255 ref appTerm appTerm 7478 def 24 ref 1479 ref 196 ref appTerm appTerm 167 ref 5397 ref appTerm 1161 ref appTerm 7479 def 207 ref appTerm 7480 def appTerm 7481 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7482 def 4677 ref appTerm betaConv sym 1477 ref 101 ref 5396 ref 99 ref 1158 ref 24 ref 5462 remove appTerm 24 ref 167 ref 4677 ref appTerm 1161 ref appTerm 7483 def 255 ref appTerm appTerm 7484 def 7481 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 7485 def 152 ref appTerm betaConv sym 5396 ref 99 ref 1158 ref 24 ref 5459 remove appTerm 7484 ref 24 ref 195 ref 1161 ref appTerm 7486 def 196 ref appTerm appTerm 7487 def 7480 remove appTerm appTerm appTerm absTerm appTerm absTerm 7488 def 161 ref appTerm betaConv sym 1158 ref 4681 remove 7484 remove 7487 remove 5981 ref 207 ref appTerm appTerm appTerm appTerm absTerm 7489 def 134 ref appTerm betaConv sym 1017 ref 5478 remove appThm 1017 ref nil 1054 ref 739 ref cons 7490 def 6397 ref 5499 ref cons cons nil cons cons 1054 ref 56 ref 167 ref 5501 ref appTerm 1487 ref appTerm 1057 ref appTerm appTerm 24 ref 1400 ref 1487 ref appTerm 7491 def 1447 ref appTerm appTerm 1323 ref 1057 ref appTerm 255 ref appTerm appTerm appTerm absTerm 7492 def 1057 ref appTerm 7493 def betaConv 1486 ref 14 ref 7492 ref appTerm 7494 def absTerm 7495 def 1487 ref appTerm 7496 def betaConv 1442 ref 19 ref 7495 ref appTerm 7497 def absTerm 7498 def 1447 ref appTerm 7499 def betaConv nil 19 ref 7498 ref appTerm 7500 def axiom nil 346 ref 7500 remove nil cons cons 347 ref 7499 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7498 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7497 remove nil cons cons 347 ref 7496 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7495 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7494 remove nil cons cons 347 ref 7493 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 7492 remove nil cons cons 1106 ref cons nil cons cons 414 ref subst eqMp eqMp 7501 def subst 24 ref 3387 ref 136 ref appTerm 7502 def appTerm refl nil 741 ref nil cons cons 54 ref 2335 ref subst 7503 def subst 7504 def appThm nil 77 ref 7502 remove nil cons cons nil cons nil cons cons 7505 def 1690 ref subst 7506 def trans trans appThm 1017 ref nil 77 ref 619 remove cons nil cons nil cons cons 82 ref subst 197 ref assume eqMp appThm 7215 remove appThm 1030 ref trans appThm 7506 remove trans appThm 7505 remove 1026 ref subst trans sym 7191 remove 1440 ref appThm 7193 remove trans sym 81 ref eqMp eqMp eqMp 93 ref 90 ref 7489 remove nil cons cons 1353 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 7488 remove nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 7485 remove nil cons cons 5469 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 7482 ref nil cons cons 5467 remove cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 7482 remove appTerm nil cons cons 347 ref 7463 ref nil cons 7507 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil "zi" 1 ref var 7508 def 7473 remove cons 1567 ref 6464 remove cons 1160 ref 739 remove cons 727 ref 405 remove cons nil cons 7509 def cons 7510 def cons cons nil cons cons 7508 ref 23 ref 101 ref 415 ref 101 ref 1477 ref 101 ref 5396 ref 99 ref 1158 ref 24 ref 5411 remove appTerm 7511 def 1584 remove 24 ref 1581 ref appTerm 7479 ref 7508 ref varTerm 7512 def appTerm 7513 def appTerm 7514 def appTerm 7515 def appTerm 7516 def absTerm 7517 def appTerm 7518 def absTerm 7519 def appTerm 7520 def absTerm 7521 def appTerm 7522 def absTerm 7523 def appTerm 7524 def appTerm 7525 def 729 ref 1163 ref appTerm 1569 ref appTerm 7512 ref appTerm 7526 def appTerm 7527 def absTerm 7528 def 7512 ref appTerm 7529 def betaConv 1567 ref 14 ref 7528 ref appTerm 7530 def absTerm 7531 def 1569 ref appTerm 7532 def betaConv 1160 ref 14 ref 7531 ref appTerm 7533 def absTerm 7534 def 1163 ref appTerm 7535 def betaConv 727 ref 14 ref 7534 ref appTerm 7536 def absTerm 7537 def 728 ref appTerm 7538 def betaConv nil 14 ref 727 ref 11 ref 415 ref 11 ref 1477 ref 11 ref 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 7516 ref appTerm 7526 ref appTerm absTerm 7539 def appTerm 7540 def absTerm 7541 def appTerm 7542 def absTerm 7543 def appTerm 7544 def absTerm 7545 def appTerm 7546 def absTerm 7547 def appTerm 7548 def absTerm 7549 def appTerm 7550 def absTerm 7551 def appTerm 7552 def absTerm 7553 def appTerm 7554 def axiom 7555 def nil 346 ref 7554 ref nil cons 7556 def cons 7557 def 347 ref 14 ref 7537 ref appTerm nil cons 7558 def cons nil cons cons nil cons cons 7559 def 403 ref subst proveHyp 7559 ref 362 ref subst 7559 remove 412 ref subst nil 5 ref 7537 remove nil cons cons 7560 def nil cons nil cons cons 76 ref subst 727 ref nil 77 ref 7536 remove nil cons 7561 def cons nil cons nil cons cons 82 ref subst nil 5 ref 7534 remove nil cons cons 7562 def nil cons nil cons cons 76 ref subst 1160 ref nil 77 ref 7533 remove nil cons 7563 def cons nil cons nil cons cons 82 ref subst nil 5 ref 7531 remove nil cons cons 7564 def nil cons nil cons cons 76 ref subst 1567 ref nil 77 ref 7530 remove nil cons 7565 def cons nil cons nil cons cons 82 ref subst nil 5 ref 7528 remove nil cons cons 7566 def nil cons nil cons cons 76 ref subst 7508 ref nil 77 ref 7527 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7524 remove nil cons 7567 def cons 7568 def 347 ref 7526 ref nil cons 7569 def cons nil cons 7570 def cons nil cons cons 7571 def 362 ref subst 7571 remove 412 ref subst nil 7557 ref 7570 ref cons nil cons cons 7572 def 403 ref subst nil 7568 remove 347 ref 23 ref 7554 remove appTerm 7526 remove appTerm 7573 def nil cons 7574 def cons nil cons 7575 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 7523 ref 857 ref appTerm 7576 def appTerm 7573 ref appTerm 7577 def absTerm 7578 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 7577 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7576 ref nil cons 7579 def cons 7575 ref cons nil cons cons 7580 def 362 ref subst 7580 remove 412 ref subst 7576 ref betaConv 7576 remove assume eqMp nil 346 ref 7522 ref nil cons cons 7575 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1477 ref 23 ref 7521 ref 1478 ref appTerm 7581 def appTerm 7573 ref appTerm 7582 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 7582 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7581 ref nil cons 7583 def cons 7575 ref cons nil cons cons 7584 def 362 ref subst 7584 remove 412 ref subst 7581 ref betaConv 7581 remove assume eqMp nil 346 ref 7520 ref nil cons cons 7575 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 5396 ref 23 ref 7519 ref 5397 ref appTerm 7585 def appTerm 7573 ref appTerm 7586 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 5396 ref nil 77 ref 7586 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7585 ref nil cons 7587 def cons 7575 ref cons nil cons cons 7588 def 362 ref subst 7588 remove 412 ref subst 7585 ref betaConv 7585 remove assume eqMp nil 346 ref 7518 ref nil cons cons 7575 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1158 ref 23 ref 7517 ref 1161 ref appTerm 7589 def appTerm 7573 ref appTerm 7590 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 7590 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7589 ref nil cons 7591 def cons 7575 ref cons nil cons cons 7592 def 362 ref subst 7592 remove 412 ref subst 7589 ref betaConv 7589 remove assume eqMp nil 346 ref 7516 remove nil cons 7593 def cons 7594 def 7575 remove cons nil cons cons 7595 def 403 ref subst proveHyp 7595 ref 362 ref subst 7595 remove 412 ref subst 7572 ref 362 ref subst 7572 remove 412 ref subst nil 7594 remove 7570 remove cons nil cons cons 403 ref subst 7539 ref 7512 ref appTerm 7596 def betaConv 7541 ref 1569 ref appTerm 7597 def betaConv 7543 ref 1163 ref appTerm 7598 def betaConv 7545 ref 1161 ref appTerm 7599 def betaConv 7547 ref 5397 ref appTerm 7600 def betaConv 7549 ref 1478 ref appTerm 7601 def betaConv 7551 ref 857 ref appTerm 7602 def betaConv 7553 ref 728 ref appTerm 7603 def betaConv nil 7557 ref 347 ref 7603 remove nil cons cons nil cons cons nil cons cons 403 ref subst 52 ref 5 ref 7553 ref nil cons cons 7604 def 404 ref 728 ref nil cons cons nil cons 7605 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7552 remove nil cons cons 347 ref 7602 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 7551 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7550 remove nil cons cons 347 ref 7601 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 7549 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7548 remove nil cons cons 347 ref 7600 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 7547 remove nil cons cons 6449 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7546 remove nil cons cons 347 ref 7599 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7545 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7544 remove nil cons cons 347 ref 7598 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 7543 remove nil cons cons 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7542 remove nil cons cons 347 ref 7597 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 7541 remove nil cons cons 1783 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7540 remove nil cons cons 347 ref 7596 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 7539 remove nil cons cons 404 ref 7512 ref nil cons cons nil cons 7606 def cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 7556 remove cons 7607 def 381 ref 7569 remove cons nil cons 7608 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7593 remove cons 381 ref 7574 remove cons nil cons 7609 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 7591 remove cons 7609 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 7517 ref 963 ref appTerm appTerm 7573 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 7518 remove appTerm 7573 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7517 remove nil cons cons 7609 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 7587 remove cons 7609 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 7519 ref 1788 ref appTerm appTerm 7573 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 7520 remove appTerm 7573 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 7519 remove nil cons cons 7609 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 7583 remove cons 7609 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 7521 ref 1788 ref appTerm appTerm 7573 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 7522 remove appTerm 7573 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 7521 remove nil cons cons 7609 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 7579 remove cons 7609 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 7578 remove appTerm nil cons cons 347 ref 7525 remove 7573 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 7523 remove nil cons cons 7609 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 7567 remove cons 7608 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 7607 remove 381 ref 7558 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 7558 remove cons 347 ref 7538 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 7560 remove 7605 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7561 remove cons 347 ref 7535 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 7562 remove 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7563 remove cons 347 ref 7532 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 7564 remove 1783 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7565 remove cons 347 ref 7529 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 7566 remove 7606 ref cons nil cons cons 414 ref subst eqMp eqMp 7610 def subst eqMp nil 346 ref 7507 remove cons 7611 def 347 ref 23 ref 7475 ref appTerm 7218 ref appTerm 7612 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 7475 ref nil cons 7613 def cons 7461 remove cons nil cons cons 7614 def 362 ref subst 7614 remove 412 ref subst 7475 remove assume sym 6043 remove 6525 ref refl appThm nil 794 ref 6526 ref cons 6044 ref cons nil cons cons 6045 ref subst trans sym 6678 remove nil 6682 remove 347 ref 6526 ref cons nil cons 7615 def cons nil cons cons 403 ref subst proveHyp nil 6685 ref 347 ref 6686 remove 6525 ref appTerm 7616 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 6689 remove 7615 remove cons nil cons cons 7617 def 362 ref subst 7617 remove 412 ref subst 6698 remove sym 1017 ref 5790 remove appThm nil 77 ref 6758 remove cons nil cons nil cons cons 82 ref subst 6645 remove assume eqMp appThm 1030 ref trans sym 81 ref eqMp eqMp eqMp nil 7005 remove 381 ref 6526 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 4667 remove 7616 remove appTerm nil cons cons 347 ref 7006 remove 6525 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 6526 remove cons 7007 remove cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp nil 379 ref 7613 ref cons 381 ref 7460 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 7463 remove appTerm 7612 remove appTerm nil cons cons 347 ref 23 ref 7476 remove appTerm 7218 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 7460 remove cons 347 ref 7613 remove cons 7611 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp proveHyp eqMp eqMp nil 379 ref 7231 remove cons 381 ref 7223 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 52 ref 5 ref 7213 remove nil cons cons 7474 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 7207 remove nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 7154 remove nil cons cons 7304 remove nil cons cons nil cons cons 1157 ref subst proveHyp eqMp nil 627 remove 381 ref 7156 remove cons nil cons 7618 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 7199 remove cons 7618 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 7194 ref 684 ref appTerm appTerm 7155 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 7195 remove appTerm 7155 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 7194 remove nil cons cons 7618 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 7189 remove cons 7618 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 7187 remove cons 7618 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 7166 ref 857 ref appTerm appTerm 7155 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 7167 remove appTerm 7155 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 7166 remove nil cons cons 7618 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp 93 ref 90 ref 7133 remove nil cons cons 1353 ref cons nil cons cons 1157 ref subst proveHyp proveHyp eqMp proveHyp eqMp nil 379 ref 7053 remove cons 381 ref 7016 remove cons nil cons 7619 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 379 ref 7026 remove cons 7619 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp proveHyp proveHyp proveHyp eqMp nil 379 ref 6163 remove cons 7620 def 381 ref 6174 remove cons nil cons 7621 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 6164 remove cons 7622 def 381 ref 6171 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 6156 ref 6170 remove appTerm nil cons cons 347 ref 6159 ref 23 ref 5308 ref appTerm 7623 def 6153 ref appTerm 7624 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 6158 remove nil cons 7625 def cons 7626 def 347 ref 7624 remove nil cons 7627 def cons nil cons 7628 def cons nil cons cons 7629 def 362 ref subst 7629 remove 412 ref subst nil 90 ref 5254 ref 23 ref 5307 ref 5258 ref appTerm 7630 def appTerm 7631 def 6153 ref appTerm 7632 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 5254 ref nil 77 ref 7632 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7630 ref nil cons 7633 def cons 7634 def 6175 ref cons nil cons cons 7635 def 362 ref subst 7635 remove 412 ref subst 7630 ref betaConv 7630 remove assume eqMp 7636 def nil 346 ref 5306 remove nil cons 7637 def cons 7638 def 6175 ref cons nil cons cons 7639 def 403 ref subst proveHyp 7639 ref 362 ref subst 7639 remove 412 ref subst nil 379 ref 5260 ref nil cons 7640 def cons 7641 def 381 ref 5305 ref nil cons 7642 def cons nil cons cons nil cons cons 7643 def 395 ref subst 7644 def 7643 remove 428 ref subst 7645 def nil 346 ref 7642 remove cons 7646 def 6175 remove cons nil cons cons 403 ref subst nil 77 ref 5523 ref nil cons cons nil cons nil cons cons 826 ref subst nil 1308 ref 5522 ref nil cons 7647 def cons nil cons nil cons cons 3478 ref subst trans sym 6286 ref 24 ref 1985 ref 6287 ref appTerm appTerm 7648 def 6288 ref 5522 ref appTerm appTerm absTerm 7649 def 5234 ref appTerm betaConv sym 7043 remove 2361 ref subst 839 ref nil 7626 ref 347 ref 56 ref 5235 remove appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 7622 ref nil cons nil cons cons 791 ref subst eqMp appThm 3162 ref trans trans sym 81 ref eqMp 7650 def nil 346 ref 1985 ref 5234 ref appTerm nil cons cons 347 ref 1612 ref 5234 remove appTerm 5522 ref appTerm nil cons cons nil cons 7651 def cons nil cons cons 412 ref subst proveHyp 5567 remove sym 81 ref eqMp nil 346 ref 1612 ref 1487 ref appTerm 2088 ref appTerm nil cons cons 7651 remove cons nil cons cons 403 ref subst proveHyp nil 4890 ref 4010 ref cons 4889 ref 1970 ref cons nil cons cons nil cons cons 7083 ref subst eqMp eqMp eqMp 93 ref 90 ref 7649 ref nil cons cons 6277 remove cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 7649 remove appTerm nil cons cons 347 ref 1985 ref 5522 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 ref 7647 remove cons 1950 ref cons nil cons cons 3755 ref subst eqMp eqMp 56 ref "_33819" 2 ref var 7652 def 23 ref 5305 ref appTerm 7653 def 707 ref 7652 remove varTerm appTerm 6150 ref appTerm 6152 ref appTerm appTerm absTerm 7654 def 5523 ref appTerm 7655 def appTerm refl 7654 ref 664 ref appTerm betaConv appThm 383 ref 7655 remove betaConv appThm 7653 ref 707 ref 664 ref appTerm 7656 def 6150 ref appTerm 6152 ref appTerm appTerm refl appThm trans 7654 remove refl 56 ref 5523 remove appTerm 664 ref appTerm assume appThm eqMp sym 7653 ref refl nil 794 ref 6152 ref nil cons 7657 def cons 796 ref 6150 remove nil cons cons nil cons cons nil cons cons 6045 ref subst appThm sym 383 ref "_33821" 2 ref var 7658 def 23 ref 7658 remove varTerm appTerm 6152 ref appTerm absTerm 7659 def 5305 remove appTerm betaConv appThm 1017 ref 23 ref 5262 ref appTerm 7660 def refl 7661 def 7659 ref 5304 ref appTerm betaConv appThm appThm 23 ref 38 ref 5262 ref appTerm 7662 def appTerm 7663 def refl 7664 def 7659 ref 4862 ref appTerm betaConv appThm appThm appThm nil 6161 ref 6313 ref cons 6162 ref 5304 ref nil cons cons 5693 ref 5262 ref nil cons 7665 def cons nil cons 7666 def cons cons nil cons cons nil 6166 ref 7659 remove nil cons cons nil cons nil cons cons 6167 ref subst subst eqMp sym nil 346 ref 7665 ref cons 7667 def 347 ref 23 ref 5304 remove appTerm 6152 ref appTerm 7668 def nil cons 7669 def cons nil cons 7670 def cons nil cons cons 7671 def 362 ref subst 7671 remove 412 ref subst nil 83 ref 5264 ref 23 ref 5303 ref 5273 ref appTerm 7672 def appTerm 6152 ref appTerm 7673 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 5264 ref nil 77 ref 7673 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7672 ref nil cons 7674 def cons 347 ref 7657 ref cons nil cons 7675 def cons nil cons cons 7676 def 362 ref subst 7676 remove 412 ref subst 7672 ref betaConv 7672 remove assume eqMp nil 346 ref 5302 ref nil cons cons 7675 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 5265 ref 23 ref 5301 ref 5278 ref appTerm 7677 def appTerm 6152 ref appTerm 7678 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 5265 ref nil 77 ref 7678 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7677 ref nil cons 7679 def cons 7675 ref cons nil cons cons 7680 def 362 ref subst 7680 remove 412 ref subst 7677 ref betaConv 7677 remove assume eqMp nil 346 ref 5300 ref nil cons cons 7675 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 5266 ref 23 ref 5299 ref 5281 ref appTerm 7681 def appTerm 6152 ref appTerm 7682 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 5266 ref nil 77 ref 7682 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7681 ref nil cons 7683 def cons 7675 ref cons nil cons cons 7684 def 362 ref subst 7684 remove 412 ref subst 7681 ref betaConv 7681 remove assume eqMp nil 346 ref 5298 remove nil cons 7685 def cons 7675 ref cons nil cons cons 7686 def 403 ref subst proveHyp 7686 ref 362 ref subst 7686 remove 412 ref subst nil 379 ref 5274 ref nil cons cons 7687 def 381 ref 5297 remove nil cons cons nil cons cons nil cons cons 7688 def 395 ref subst 7688 remove 428 ref subst nil 379 ref 5279 ref nil cons cons 7689 def 381 ref 5296 remove nil cons cons nil cons cons nil cons cons 7690 def 395 ref subst 7690 remove 428 ref subst nil 379 ref 5282 ref nil cons 7691 def cons 7692 def 381 ref 5295 remove nil cons cons nil cons cons nil cons cons 7693 def 395 ref subst 7693 remove 428 ref subst nil 379 ref 5291 ref nil cons cons 381 ref 5294 remove nil cons cons nil cons cons nil cons cons 7694 def 395 ref subst 7694 remove 428 ref subst nil 379 ref 5293 ref nil cons 7695 def cons 7696 def 6178 remove cons nil cons cons 7697 def 395 ref subst 7697 remove 428 ref subst 6151 ref 1377 ref 5258 ref appTerm 7698 def appTerm betaConv sym 7699 def 1017 ref 1519 ref nil 1442 ref 5258 ref nil cons 7700 def cons 7701 def 1308 ref 5257 ref nil cons 7702 def cons nil cons cons nil cons cons 1669 ref subst 1939 ref 5260 ref assume appThm trans appThm 7135 ref appThm 5777 remove trans appThm 7703 def 707 ref 1612 ref 7698 ref appTerm 131 ref appTerm 7704 def appTerm 7705 def refl 7706 def 4748 ref 5264 ref 4748 ref 5265 ref 3913 ref 5266 ref 24 ref 5267 ref 130 ref 7698 ref appTerm 7707 def 135 ref appTerm 7708 def appTerm 7709 def 5271 remove 7698 ref appTerm 7710 def appTerm 5273 ref appTerm 7711 def appTerm 7712 def refl 7713 def 24 ref 210 ref 7698 ref appTerm 7714 def 5277 remove 7698 ref appTerm appTerm 5278 ref appTerm 7715 def appTerm 7716 def refl 7717 def 24 ref 205 ref 7698 ref appTerm 7718 def 5281 ref appTerm 7719 def appTerm 7720 def refl 7721 def 1017 ref 1519 ref 2897 ref 5361 ref 5374 remove 6092 ref appThm appThm appThm 5361 ref 5375 remove 6092 ref appThm appThm appThm appThm 1898 ref 7710 remove appTerm 7722 def refl appThm appThm 7723 def 1017 ref 5376 remove 6092 ref appThm appThm 7724 def 839 ref 6316 remove 6028 ref refl 7725 def appThm 6219 ref 5746 ref subst trans 7726 def appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm appThm 7726 remove appThm appThm nil 77 ref 7705 ref 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 7712 remove 7716 remove 7720 ref 24 ref 122 ref 130 ref 1886 ref 5284 ref 1377 ref 1905 ref appTerm 7727 def appTerm appTerm appTerm 7728 def 1886 ref 5286 ref 7727 ref appTerm appTerm 7729 def appTerm appTerm 7730 def 7722 remove appTerm 7731 def appTerm 24 ref 5292 ref 7727 ref appTerm 7732 def appTerm 7733 def 6317 remove appTerm 7734 def appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm 7735 def appTerm 6028 ref appTerm 7736 def nil cons cons nil cons nil cons cons 1026 ref subst trans sym 383 ref "_33827" 2 ref var 7737 def 7737 remove varTerm absTerm 7738 def 7736 remove appTerm betaConv appThm 1017 ref 23 ref 7704 ref appTerm 7739 def refl 7738 ref 7735 ref appTerm betaConv appThm appThm 23 ref 38 ref 7704 ref appTerm 7740 def appTerm 7741 def refl 7738 remove 6028 ref appTerm betaConv appThm appThm appThm nil 6161 ref 6181 ref cons 6162 ref 7735 ref nil cons 7742 def cons 5693 ref 7704 ref nil cons 7743 def cons nil cons cons cons nil cons cons 7018 remove subst eqMp sym nil 346 ref 7743 ref cons 347 ref 7742 ref cons nil cons 7744 def cons nil cons cons 7745 def 362 ref subst 7745 remove 412 ref subst nil 1443 ref 1308 ref 7700 ref cons 7746 def nil cons 7747 def cons nil cons cons 7748 def 2028 remove subst 7748 ref 2501 ref subst trans 7704 ref assume eqMp nil 346 ref 99 ref 1055 ref 122 ref 131 ref appTerm 7749 def 5268 ref 2494 ref appTerm 7750 def appTerm 7751 def absTerm 7752 def appTerm 7753 def nil cons cons 7744 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1055 ref 23 ref 7752 ref 1058 ref appTerm 7754 def appTerm 7735 ref appTerm 7755 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 7755 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 7754 ref nil cons 7756 def cons 7744 ref cons nil cons cons 7757 def 362 ref subst 7757 remove 412 ref subst 7754 ref betaConv 7754 remove assume eqMp nil 346 ref 7751 ref nil cons 7758 def cons 7744 remove cons nil cons cons 7759 def 403 ref subst proveHyp 7759 ref 362 ref subst 7759 remove 412 ref subst 56 ref "_33833" 16 ref var 7760 def 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 24 ref 7709 ref 4042 ref 7760 remove varTerm 7761 def appTerm 7698 ref appTerm 7762 def appTerm 5273 ref appTerm appTerm 24 ref 7714 ref 4042 ref 130 ref 7761 remove appTerm 135 ref appTerm appTerm 7698 ref appTerm appTerm 5278 ref appTerm appTerm 7720 ref 24 ref 7730 ref 1898 ref 7762 remove appTerm appTerm appTerm 7734 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7763 def 131 ref appTerm 7764 def appTerm refl 7763 ref 7750 ref appTerm betaConv appThm 383 ref 7764 remove betaConv appThm 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 24 ref 7709 ref 4042 ref 7750 ref appTerm 7765 def 7698 ref appTerm 7766 def appTerm 5273 ref appTerm appTerm 24 ref 7714 ref 4042 ref 130 ref 7750 ref appTerm 135 ref appTerm 7767 def appTerm 7768 def 7698 ref appTerm 7769 def appTerm 5278 ref appTerm appTerm 7770 def 7720 ref 24 ref 7730 ref 1898 ref 7766 ref appTerm appTerm appTerm 7734 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm refl appThm trans 7763 remove refl 7751 remove assume 7771 def appThm eqMp sym 4042 ref refl 7772 def nil 2073 ref 7747 ref cons nil cons cons 7773 def 1669 ref subst 7774 def 7773 ref 2131 ref subst trans appThm 7698 ref refl 7775 def appThm nil 2073 ref 1308 ref 7698 ref nil cons 7776 def cons nil cons 7777 def cons nil cons cons 7778 def 5214 ref subst trans 56 ref "_33919" 16 ref var 7779 def 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 24 ref 7709 ref 7779 remove varTerm 7780 def appTerm 5273 ref appTerm appTerm 7770 ref 7720 ref 24 ref 7730 ref 1898 ref 7780 remove appTerm appTerm appTerm 7734 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7781 def 7766 ref appTerm 7782 def appTerm refl 7781 ref 1058 ref appTerm betaConv appThm 383 ref 7782 remove betaConv appThm 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 24 ref 7709 ref 1058 ref appTerm 7783 def 5273 ref appTerm appTerm 7784 def 7770 remove 7720 ref 24 ref 7730 remove 1898 ref 1058 ref appTerm 7785 def appTerm appTerm 7786 def 7734 remove appTerm appTerm 7787 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm refl appThm trans 7781 remove refl 122 ref 7766 remove appTerm 1058 ref appTerm assume appThm eqMp sym 7772 ref nil 1308 ref 7750 ref nil cons 7788 def cons nil cons nil cons cons 1439 ref subst 7789 def nil 2540 ref 7747 ref cons nil cons cons 7790 def 2131 remove subst trans appThm 7775 remove appThm nil 2540 ref 7777 ref cons nil cons cons 5214 ref subst trans 56 ref "_33921" 16 ref var 7791 def 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 7784 ref 24 ref 7714 ref 7791 remove varTerm appTerm 5278 ref appTerm appTerm 7787 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7792 def 7769 ref appTerm 7793 def appTerm refl 7792 ref 2494 ref appTerm betaConv appThm 383 ref 7793 remove betaConv appThm 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 7784 remove 24 ref 7714 ref 2494 ref appTerm 7794 def 5278 ref appTerm appTerm 7795 def 7787 remove appTerm 7796 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 7797 def refl appThm trans 7792 remove refl 122 ref 7769 remove appTerm 2494 ref appTerm assume appThm eqMp sym nil 6312 ref 347 ref 7797 ref nil cons cons nil cons cons nil cons cons 403 ref subst nil 346 ref 7695 ref cons 7798 def 347 ref 23 ref 5252 remove appTerm 7799 def 7797 remove appTerm 7800 def nil cons cons nil cons cons nil cons cons 403 ref subst 56 ref "_33913" 16 ref var 7801 def 5289 ref 1898 ref 4042 ref 7801 remove varTerm appTerm 5258 ref appTerm appTerm appTerm absTerm 7802 def 131 ref appTerm 7803 def appTerm refl 7802 ref 7750 ref appTerm betaConv appThm 383 ref 7803 remove betaConv appThm 5289 ref 1898 ref 7765 remove 5258 ref appTerm 7804 def appTerm appTerm 7805 def refl appThm trans 7802 remove refl 7771 ref appThm eqMp 5291 remove assume eqMp nil 346 ref 7805 ref nil cons cons 347 ref 23 ref 5293 ref appTerm 7806 def 7800 remove appTerm 7807 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 346 ref 7691 ref cons 7808 def 347 ref 23 ref 7805 remove appTerm 7807 remove appTerm 7809 def nil cons cons nil cons cons nil cons cons 403 ref subst 56 ref "_33909" 16 ref var 7810 def 5276 ref 4042 ref 130 ref 7810 remove varTerm appTerm 135 ref appTerm appTerm 5258 ref appTerm appTerm 5278 ref appTerm absTerm 7811 def 131 ref appTerm 7812 def appTerm refl 7811 ref 7750 ref appTerm betaConv appThm 383 ref 7812 remove betaConv appThm 5276 ref 7768 remove 5258 ref appTerm appTerm 5278 ref appTerm 7813 def refl appThm trans 7811 remove refl 7771 ref appThm eqMp 5279 remove assume eqMp nil 346 ref 7813 ref nil cons cons 347 ref 23 ref 5282 ref appTerm 7814 def 7809 remove appTerm 7815 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 56 ref "_33907" 16 ref var 7816 def 5270 ref 4042 ref 7816 remove varTerm appTerm 5258 ref appTerm appTerm 5273 ref appTerm absTerm 7817 def 131 ref appTerm 7818 def appTerm refl 7817 ref 7750 ref appTerm betaConv appThm 383 ref 7818 remove betaConv appThm 5270 remove 7804 remove appTerm 5273 ref appTerm 7819 def refl appThm trans 7817 remove refl 7771 ref appThm eqMp 5274 remove assume eqMp nil 346 ref 7819 ref nil cons cons 347 ref 23 ref 7813 remove appTerm 7815 ref appTerm 7820 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 56 ref "_33905" 16 ref var 7821 def 5261 ref 7821 remove varTerm appTerm absTerm 7822 def 131 ref appTerm 7823 def appTerm refl 7822 ref 7750 ref appTerm betaConv appThm 383 ref 7823 remove betaConv appThm 5261 remove 7750 ref appTerm 7824 def refl appThm trans 7822 remove refl 7771 ref appThm eqMp 5262 ref assume 7825 def eqMp nil 346 ref 7824 ref nil cons cons 347 ref 23 ref 7819 remove appTerm 7826 def 7820 remove appTerm 7827 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 346 ref 7640 remove cons 7828 def 347 ref 23 ref 7824 remove appTerm 7829 def 7827 remove appTerm 7830 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 7626 ref 347 ref 23 ref 5260 remove appTerm 7831 def 7830 remove appTerm 7832 def nil cons cons nil cons cons nil cons cons 403 ref subst 56 ref "_33899" 16 ref var 7833 def 205 ref 7833 remove varTerm appTerm 6008 ref appTerm absTerm 7834 def 131 ref appTerm 7835 def appTerm refl 7834 ref 7750 ref appTerm betaConv appThm 383 ref 7835 remove betaConv appThm 205 ref 7750 ref appTerm 6008 ref appTerm 7836 def refl appThm trans 7834 remove refl 7771 ref appThm eqMp 6129 remove eqMp nil 346 ref 7836 ref nil cons 7837 def cons 7838 def 347 ref 6159 ref 7832 remove appTerm 7839 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 346 ref 6310 ref nil cons 7840 def cons 7841 def 347 ref 23 ref 7836 ref appTerm 7842 def 7839 remove appTerm 7843 def nil cons cons nil cons cons nil cons cons 403 ref subst 6038 remove nil 6039 ref 347 ref 23 ref 6310 remove appTerm 7844 def 7843 remove appTerm 7845 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 7082 ref 347 ref 23 ref 6035 remove appTerm 7846 def 7845 remove appTerm 7847 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 4886 ref 347 ref 23 ref 7080 remove appTerm 7848 def 7847 remove appTerm 7849 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 4873 ref 347 ref 23 ref 4878 remove appTerm 7850 def 7849 remove appTerm 7851 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 346 ref 4855 ref cons 7852 def 347 ref 23 ref 4871 remove appTerm 7853 def 7851 remove appTerm 7854 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 6870 ref 347 ref 6097 ref 7854 remove appTerm 7855 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 6822 ref 347 ref 6856 ref 7855 remove appTerm 7856 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 346 ref 653 remove cons 7857 def 347 ref 6799 ref 7856 remove appTerm 7858 def nil cons cons nil cons cons nil cons cons 403 ref subst 56 ref "_33879" 16 ref var 7859 def 238 ref 249 ref 130 ref 7859 remove varTerm appTerm 135 ref appTerm appTerm appTerm 152 ref appTerm 161 ref appTerm absTerm 7860 def 131 ref appTerm 7861 def appTerm refl 7860 ref 7750 ref appTerm betaConv appThm 383 ref 7861 remove betaConv appThm 238 ref 249 ref 7767 ref appTerm appTerm 152 ref appTerm 161 ref appTerm 7862 def refl appThm trans 7860 remove refl 7771 ref appThm eqMp 5477 remove eqMp nil 346 ref 7862 ref nil cons cons 347 ref 704 ref 7858 remove appTerm 7863 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 346 ref 4842 remove cons 7864 def 347 ref 23 ref 7862 remove appTerm 7863 remove appTerm 7865 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 346 ref 639 remove cons 7866 def 347 ref 5384 ref 7865 remove appTerm 7867 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 6616 ref 347 ref 6057 ref 7867 remove appTerm 7868 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 6685 ref 347 ref 6569 ref 7868 remove appTerm 7869 def nil cons cons nil cons cons nil cons cons 403 ref subst nil 6651 ref 347 ref 6660 ref 7869 remove appTerm 7870 def nil cons cons nil cons cons nil cons cons 403 ref subst 56 ref "_33867" 16 ref var 7871 def 200 ref 7871 remove varTerm appTerm 202 ref appTerm absTerm 7872 def 131 ref appTerm 7873 def appTerm refl 7872 ref 7750 ref appTerm betaConv appThm 383 ref 7873 remove betaConv appThm 200 ref 7750 ref appTerm 7874 def 202 ref appTerm 7875 def refl appThm trans 7872 remove refl 7771 ref appThm eqMp 6468 ref eqMp nil 346 ref 7875 ref nil cons 7876 def cons 7877 def 347 ref 6625 ref 7870 remove appTerm 7878 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 6467 ref 347 ref 23 ref 7875 ref appTerm 7879 def 7878 remove appTerm 7880 def nil cons cons nil cons cons nil cons cons 403 ref subst 56 ref "_33863" 16 ref var 7881 def 180 ref 7881 remove varTerm appTerm 192 ref appTerm absTerm 7882 def 131 ref appTerm 7883 def appTerm refl 7882 ref 7750 ref appTerm betaConv appThm 383 ref 7883 remove betaConv appThm 180 ref 7750 ref appTerm 192 ref appTerm 7884 def refl appThm trans 7882 remove refl 7771 ref appThm eqMp 6131 remove eqMp nil 346 ref 7884 ref nil cons 7885 def cons 7886 def 347 ref 23 ref 197 remove appTerm 7887 def 7880 remove appTerm 7888 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 56 ref "_33861" 16 ref var 7889 def 186 ref 7889 remove varTerm appTerm 188 ref appTerm absTerm 7890 def 131 ref appTerm 7891 def appTerm refl 7890 ref 7750 ref appTerm betaConv appThm 383 ref 7891 remove betaConv appThm 186 ref 7750 ref appTerm 7892 def 188 ref appTerm 7893 def refl appThm trans 7890 remove refl 7771 ref appThm eqMp 189 ref assume 7894 def eqMp nil 346 ref 7893 ref nil cons 7895 def cons 7896 def 347 ref 23 ref 7884 remove appTerm 7897 def 7888 remove appTerm 7898 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 346 ref 607 ref cons 7899 def 347 ref 23 ref 7893 ref appTerm 7900 def 7898 remove appTerm 7901 def nil cons cons nil cons cons nil cons cons 403 ref subst 56 ref "_33857" 16 ref var 7902 def 4654 ref 7902 remove varTerm appTerm 4655 ref appTerm absTerm 7903 def 131 ref appTerm 7904 def appTerm refl 7903 ref 7750 ref appTerm betaConv appThm 383 ref 7904 remove betaConv appThm 4654 ref 7750 ref appTerm 7905 def 4655 ref appTerm 7906 def refl appThm trans 7903 remove refl 7771 ref appThm eqMp 6394 remove eqMp nil 346 ref 7906 ref nil cons 7907 def cons 7908 def 347 ref 23 ref 183 ref appTerm 7909 def 7901 remove appTerm 7910 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 6393 ref 347 ref 23 ref 7906 ref appTerm 7911 def 7910 remove appTerm 7912 def nil cons cons nil cons cons nil cons cons 403 ref subst 56 ref "_33853" 16 ref var 7913 def 4645 ref 7913 remove varTerm appTerm 4646 ref appTerm absTerm 7914 def 131 ref appTerm 7915 def appTerm refl 7914 ref 7750 ref appTerm betaConv appThm 383 ref 7915 remove betaConv appThm 4645 ref 7750 ref appTerm 7916 def 4646 ref appTerm 7917 def refl appThm trans 7914 remove refl 7771 ref appThm eqMp 6843 remove eqMp nil 346 ref 7917 ref nil cons 7918 def cons 7919 def 347 ref 23 ref 4651 remove appTerm 7920 def 7912 remove appTerm 7921 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 6842 ref 347 ref 23 ref 7917 ref appTerm 7922 def 7921 remove appTerm 7923 def nil cons cons nil cons cons nil cons cons 403 ref subst 56 ref "_33849" 16 ref var 7924 def 163 ref 130 ref 7924 remove varTerm appTerm 135 ref appTerm appTerm absTerm 7925 def 131 ref appTerm 7926 def appTerm refl 7925 ref 7750 ref appTerm betaConv appThm 383 ref 7926 remove betaConv appThm 163 ref 7767 ref appTerm 7927 def refl appThm trans 7925 remove refl 7771 ref appThm eqMp 5995 ref eqMp nil 346 ref 7927 ref nil cons cons 347 ref 23 ref 4642 remove appTerm 7928 def 7923 remove appTerm 7929 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 56 ref "_33847" 16 ref var 7930 def 159 ref 130 ref 7930 remove varTerm appTerm 135 ref appTerm appTerm absTerm 7931 def 131 ref appTerm 7932 def appTerm refl 7931 ref 7750 ref appTerm betaConv appThm 383 ref 7932 remove betaConv appThm 159 ref 7767 ref appTerm 7933 def refl appThm trans 7931 remove refl 7771 ref appThm eqMp 7160 remove eqMp nil 346 ref 7933 ref nil cons cons 347 ref 23 ref 7927 remove appTerm 7929 remove appTerm 7934 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 56 ref "_33845" 16 ref var 7935 def 154 ref 130 ref 7935 remove varTerm appTerm 135 ref appTerm appTerm absTerm 7936 def 131 ref appTerm 7937 def appTerm refl 7936 ref 7750 ref appTerm betaConv appThm 383 ref 7937 remove betaConv appThm 154 ref 7767 ref appTerm 7938 def refl appThm trans 7936 remove refl 7771 ref appThm eqMp 6463 ref eqMp nil 346 ref 7938 ref nil cons cons 347 ref 23 ref 7933 remove appTerm 7934 remove appTerm 7939 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 56 ref "_33843" 16 ref var 7940 def 150 ref 130 ref 7940 remove varTerm appTerm 135 ref appTerm appTerm absTerm 7941 def 131 ref appTerm 7942 def appTerm refl 7941 ref 7750 ref appTerm betaConv appThm 383 ref 7942 remove betaConv appThm 150 ref 7767 ref appTerm 7943 def refl appThm trans 7941 remove refl 7771 ref appThm eqMp 6374 remove eqMp nil 346 ref 7943 ref nil cons cons 347 ref 23 ref 7938 remove appTerm 7939 remove appTerm 7944 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 56 ref "_33841" 16 ref var 7945 def 145 ref 130 ref 7945 remove varTerm appTerm 135 ref appTerm appTerm absTerm 7946 def 131 ref appTerm 7947 def appTerm refl 7946 ref 7750 ref appTerm betaConv appThm 383 ref 7947 remove betaConv appThm 145 ref 7767 ref appTerm 7948 def refl appThm trans 7946 remove refl 7771 ref appThm eqMp 6883 ref eqMp nil 346 ref 7948 ref nil cons cons 347 ref 23 ref 7943 remove appTerm 7944 remove appTerm 7949 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 56 ref "_33839" 16 ref var 7950 def 141 ref 130 ref 7950 remove varTerm appTerm 135 ref appTerm appTerm absTerm 7951 def 131 ref appTerm 7952 def appTerm refl 7951 ref 7750 ref appTerm betaConv appThm 383 ref 7952 remove betaConv appThm 141 ref 7767 ref appTerm 7953 def refl appThm trans 7951 remove refl 7771 ref appThm eqMp 6839 remove eqMp nil 346 ref 7953 ref nil cons cons 347 ref 23 ref 7948 remove appTerm 7949 remove appTerm 7954 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 56 ref "_33837" 16 ref var 7955 def 125 ref 130 ref 7955 remove varTerm appTerm 135 ref appTerm appTerm absTerm 7956 def 131 ref appTerm 7957 def appTerm refl 7956 ref 7750 ref appTerm betaConv appThm 383 ref 7957 remove betaConv appThm 125 ref 7767 ref appTerm 7958 def refl appThm trans 7956 remove refl 7771 remove appThm eqMp 5101 ref eqMp nil 346 ref 7958 ref nil cons cons 347 ref 23 ref 7953 remove appTerm 7954 remove appTerm 7959 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 346 ref 4626 remove cons 7960 def 347 ref 23 ref 7958 remove appTerm 7959 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst 1519 ref 7789 remove 1939 ref 7774 ref appThm 7961 def trans appThm 7790 ref 1669 ref subst 7962 def 7961 ref trans 7963 def appThm nil 700 ref 1377 ref 1377 ref 5268 ref 1058 ref appTerm 7964 def appTerm 7965 def appTerm nil cons 7966 def cons nil cons nil cons cons 2745 ref subst trans sym 81 ref eqMp 56 ref "_33923" 16 ref var 7967 def 23 ref 4600 remove appTerm 7968 def 23 ref 125 ref 7967 remove varTerm 7969 def appTerm appTerm 23 ref 141 ref 7969 ref appTerm appTerm 23 ref 145 ref 7969 ref appTerm appTerm 23 ref 150 ref 7969 ref appTerm appTerm 23 ref 154 ref 7969 ref appTerm appTerm 23 ref 159 ref 7969 ref appTerm appTerm 23 ref 163 ref 7969 ref appTerm appTerm 7928 ref 7922 ref 7920 ref 7911 ref 7909 ref 7900 ref 7897 ref 7887 ref 7879 ref 6625 ref 6660 ref 6569 ref 6057 ref 5384 ref 23 ref 238 ref 249 ref 7969 ref appTerm appTerm 152 ref appTerm 161 ref appTerm appTerm 704 ref 6799 ref 6856 ref 6097 ref 7853 ref 7850 ref 7848 ref 7846 ref 7844 ref 7842 ref 6159 ref 7831 ref 7829 ref 7826 ref 23 ref 5276 ref 4042 ref 7969 remove appTerm 5258 ref appTerm appTerm 5278 ref appTerm appTerm 7815 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm 7970 def 7767 ref appTerm 7971 def appTerm refl 7970 ref 5268 ref 2524 ref appTerm 7972 def appTerm betaConv appThm 383 ref 7971 remove betaConv appThm 7968 ref 23 ref 125 remove 7972 ref appTerm 7973 def appTerm 7974 def 23 ref 141 remove 7972 ref appTerm 7975 def appTerm 7976 def 23 ref 145 remove 7972 ref appTerm 7977 def appTerm 7978 def 23 ref 150 remove 7972 ref appTerm 7979 def appTerm 7980 def 23 ref 154 remove 7972 ref appTerm 7981 def appTerm 7982 def 23 ref 159 remove 7972 ref appTerm 7983 def appTerm 7984 def 23 ref 163 remove 7972 ref appTerm 7985 def appTerm 7986 def 7928 ref 7922 ref 7920 ref 7911 ref 7909 ref 7900 ref 7897 ref 7887 ref 7879 ref 6625 ref 6660 ref 6569 ref 6057 ref 5384 ref 23 ref 238 ref 249 ref 7972 ref appTerm 7987 def appTerm 7988 def 152 ref appTerm 7989 def 161 ref appTerm 7990 def appTerm 7991 def 704 ref 6799 ref 6856 ref 6097 ref 7853 ref 7850 ref 7848 ref 7846 ref 7844 ref 7842 ref 6159 ref 7831 ref 7829 remove 7826 remove 23 ref 5276 ref 4042 ref 7972 ref appTerm 5258 ref appTerm appTerm 5278 ref appTerm appTerm 7815 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm refl appThm trans 7970 remove refl 122 ref 7767 remove appTerm 7972 ref appTerm assume appThm eqMp sym 7968 remove refl 7974 ref refl 7976 ref refl 7978 ref refl 7980 ref refl 7982 ref refl 7984 ref refl 7986 ref refl 7928 ref refl 7922 ref refl 7920 ref refl 7911 ref refl 7909 ref refl 7900 ref refl 7897 ref refl 7887 ref refl 7879 ref refl 6625 ref refl 6660 ref refl 6569 ref refl 6057 ref refl 5384 ref refl 7991 ref refl 704 ref refl 6799 ref refl 6856 ref refl 6097 ref refl 7853 ref refl 7850 ref refl 7848 ref refl 7846 ref refl 7844 ref refl 7842 ref refl 6160 ref 7831 ref refl 96 ref 7790 ref 2615 ref subst appThm 96 ref 7136 ref nil 7747 ref nil cons cons 7992 def 1439 ref subst 7993 def appThm 7790 ref 5214 ref subst 7994 def appThm 7143 ref appThm appThm 96 ref 5276 ref refl 7995 def nil 1442 ref 2524 ref nil cons 7996 def cons 7997 def 7747 ref cons nil cons cons 7998 def 5214 ref subst appThm 7148 ref appThm appThm 7814 ref refl 96 ref 5289 ref refl 2062 ref 7994 remove appThm appThm appThm 7806 ref refl 7799 ref refl 4748 ref 5264 ref 4748 ref 5265 ref 3913 ref 5266 ref 1017 ref 7136 remove nil 7777 ref nil cons cons 7999 def 1439 ref subst 8000 def appThm 3094 ref appThm 8001 def 7143 ref appThm appThm 7796 ref refl appThm absThm appThm absThm appThm absThm appThm appThm appThm appThm appThm appThm appThm appThm nil 77 ref 23 ref 5267 ref 7698 ref appTerm 8002 def 2494 ref appTerm 8003 def 5273 ref appTerm 8004 def appTerm 8005 def 23 ref 5276 ref 2524 ref appTerm 8006 def 5278 ref appTerm 8007 def appTerm 8008 def 7814 remove 23 ref 5289 remove 1898 remove 2494 ref appTerm 8009 def appTerm 8010 def appTerm 7806 remove 7799 remove 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 24 ref 5267 ref 1377 ref 7698 ref appTerm 8011 def appTerm 8012 def 1058 ref appTerm 8013 def 5273 ref appTerm appTerm 8014 def 7796 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm 8015 def appTerm 8016 def appTerm 8017 def appTerm 8018 def appTerm 8019 def appTerm 8020 def appTerm 8021 def nil cons 8022 def cons nil cons nil cons cons 833 ref subst trans appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm appThm sym nil 7960 ref 347 ref 7974 remove 7976 remove 7978 remove 7980 remove 7982 remove 7984 remove 7986 remove 7928 remove 7922 ref 7920 remove 7911 ref 7909 remove 7900 ref 7897 remove 7887 remove 7879 ref 6625 remove 6660 remove 6569 remove 6057 ref 5384 remove 7991 remove 704 ref 6799 remove 6856 remove 6097 ref 7853 remove 7850 remove 7848 remove 7846 remove 7844 remove 7842 remove 6159 ref 7831 ref 8021 remove appTerm 8023 def appTerm 8024 def appTerm 8025 def appTerm 8026 def appTerm 8027 def appTerm 8028 def appTerm 8029 def appTerm 8030 def appTerm 8031 def appTerm 8032 def appTerm 8033 def appTerm 8034 def appTerm 8035 def appTerm 8036 def appTerm 8037 def appTerm 8038 def appTerm 8039 def appTerm 8040 def appTerm 8041 def appTerm 8042 def appTerm 8043 def appTerm 8044 def appTerm 8045 def appTerm 8046 def appTerm 8047 def appTerm 8048 def appTerm 8049 def appTerm 8050 def appTerm 8051 def appTerm 8052 def appTerm 8053 def appTerm 8054 def appTerm 8055 def appTerm nil cons 8056 def cons nil cons cons nil cons cons 8057 def 362 ref subst 8057 remove 412 ref subst nil 346 ref 7973 ref nil cons 8058 def cons 347 ref 8055 remove nil cons 8059 def cons nil cons cons nil cons cons 8060 def 362 ref subst 8060 remove 412 ref subst nil 346 ref 7975 ref nil cons 8061 def cons 347 ref 8054 remove nil cons 8062 def cons nil cons cons nil cons cons 8063 def 362 ref subst 8063 remove 412 ref subst nil 346 ref 7977 ref nil cons 8064 def cons 347 ref 8053 remove nil cons 8065 def cons nil cons cons nil cons cons 8066 def 362 ref subst 8066 remove 412 ref subst nil 346 ref 7979 ref nil cons 8067 def cons 347 ref 8052 remove nil cons 8068 def cons nil cons cons nil cons cons 8069 def 362 ref subst 8069 remove 412 ref subst nil 346 ref 7981 ref nil cons 8070 def cons 347 ref 8051 remove nil cons 8071 def cons nil cons cons nil cons cons 8072 def 362 ref subst 8072 remove 412 ref subst nil 346 ref 7983 ref nil cons 8073 def cons 347 ref 8050 remove nil cons 8074 def cons nil cons cons nil cons cons 8075 def 362 ref subst 8075 remove 412 ref subst nil 346 ref 7985 ref nil cons 8076 def cons 347 ref 8049 remove nil cons 8077 def cons nil cons cons nil cons cons 8078 def 362 ref subst 8078 remove 412 ref subst nil 6842 remove 347 ref 8048 remove nil cons 8079 def cons nil cons cons nil cons cons 8080 def 362 ref subst 8080 remove 412 ref subst nil 7919 ref 347 ref 8047 remove nil cons 8081 def cons nil cons cons nil cons cons 8082 def 362 ref subst 8082 remove 412 ref subst nil 6393 remove 347 ref 8046 remove nil cons 8083 def cons nil cons cons nil cons cons 8084 def 362 ref subst 8084 remove 412 ref subst nil 7908 ref 347 ref 8045 remove nil cons 8085 def cons nil cons cons nil cons cons 8086 def 362 ref subst 8086 remove 412 ref subst nil 7899 remove 347 ref 8044 remove nil cons 8087 def cons nil cons cons nil cons cons 8088 def 362 ref subst 8088 remove 412 ref subst nil 7896 ref 347 ref 8043 remove nil cons 8089 def cons nil cons cons nil cons cons 8090 def 362 ref subst 8090 remove 412 ref subst nil 7886 remove 347 ref 8042 remove nil cons 8091 def cons nil cons cons nil cons cons 8092 def 362 ref subst 8092 remove 412 ref subst nil 6467 remove 347 ref 8041 remove nil cons 8093 def cons nil cons cons nil cons cons 8094 def 362 ref subst 8094 remove 412 ref subst nil 7877 ref 347 ref 8040 remove nil cons 8095 def cons nil cons cons nil cons cons 8096 def 362 ref subst 8096 remove 412 ref subst nil 6651 remove 347 ref 8039 remove nil cons 8097 def cons nil cons cons nil cons cons 8098 def 362 ref subst 8098 remove 412 ref subst nil 6685 remove 347 ref 8038 remove nil cons 8099 def cons nil cons cons nil cons cons 8100 def 362 ref subst 8100 remove 412 ref subst nil 6616 ref 347 ref 8037 remove nil cons 8101 def cons nil cons cons nil cons cons 8102 def 362 ref subst 8102 remove 412 ref subst nil 7866 remove 347 ref 8036 remove nil cons 8103 def cons nil cons cons nil cons cons 8104 def 362 ref subst 8104 remove 412 ref subst nil 7864 remove 347 ref 8035 remove nil cons 8105 def cons nil cons cons nil cons cons 8106 def 362 ref subst 8106 remove 412 ref subst nil 346 ref 7990 ref nil cons 8107 def cons 347 ref 8034 remove nil cons 8108 def cons nil cons cons nil cons cons 8109 def 362 ref subst 8109 remove 412 ref subst nil 7857 remove 347 ref 8033 remove nil cons 8110 def cons nil cons cons nil cons cons 8111 def 362 ref subst 8111 remove 412 ref subst nil 6822 remove 347 ref 8032 remove nil cons 8112 def cons nil cons cons nil cons cons 8113 def 362 ref subst 8113 remove 412 ref subst nil 6870 remove 347 ref 8031 remove nil cons 8114 def cons nil cons cons nil cons cons 8115 def 362 ref subst 8115 remove 412 ref subst nil 7852 remove 347 ref 8030 remove nil cons 8116 def cons nil cons cons nil cons cons 8117 def 362 ref subst 8117 remove 412 ref subst nil 4873 remove 347 ref 8029 remove nil cons 8118 def cons nil cons cons nil cons cons 8119 def 362 ref subst 8119 remove 412 ref subst nil 4886 remove 347 ref 8028 remove nil cons 8120 def cons nil cons cons nil cons cons 8121 def 362 ref subst 8121 remove 412 ref subst nil 7082 remove 347 ref 8027 remove nil cons 8122 def cons nil cons cons nil cons cons 8123 def 362 ref subst 8123 remove 412 ref subst nil 6039 remove 347 ref 8026 remove nil cons 8124 def cons nil cons cons nil cons cons 8125 def 362 ref subst 8125 remove 412 ref subst nil 7841 remove 347 ref 8025 remove nil cons 8126 def cons nil cons cons nil cons cons 8127 def 362 ref subst 8127 remove 412 ref subst nil 7838 remove 347 ref 8024 remove nil cons 8128 def cons nil cons cons nil cons cons 8129 def 362 ref subst 8129 remove 412 ref subst nil 7626 ref 347 ref 8023 remove nil cons 8130 def cons nil cons cons nil cons cons 8131 def 362 ref subst 8131 remove 412 ref subst nil 7828 ref 347 ref 8022 ref cons nil cons cons nil cons cons 8132 def 362 ref subst 8132 remove 412 ref subst nil 346 ref 8004 ref nil cons 8133 def cons 8134 def 347 ref 8020 remove nil cons 8135 def cons nil cons cons nil cons cons 8136 def 362 ref subst 8136 remove 412 ref subst nil 346 ref 8007 ref nil cons 8137 def cons 8138 def 347 ref 8019 remove nil cons 8139 def cons nil cons cons nil cons cons 8140 def 362 ref subst 8140 remove 412 ref subst nil 7808 remove 347 ref 8018 remove nil cons 8141 def cons nil cons cons nil cons cons 8142 def 362 ref subst 8142 remove 412 ref subst nil 346 ref 8010 ref nil cons 8143 def cons 8144 def 347 ref 8017 remove nil cons 8145 def cons nil cons cons nil cons cons 8146 def 362 ref subst 8146 remove 412 ref subst nil 7798 remove 347 ref 8016 remove nil cons 8147 def cons nil cons cons nil cons cons 8148 def 362 ref subst 8148 remove 412 ref subst nil 6312 remove 347 ref 8015 ref nil cons 8149 def cons nil cons 8150 def cons nil cons cons 8151 def 362 ref subst 8151 remove 412 ref subst 1442 ref 23 ref 1612 ref 7707 ref 1447 ref appTerm appTerm 8152 def 162 ref appTerm appTerm 101 ref 1477 ref 7714 ref 1447 ref appTerm 8153 def 1478 ref appTerm 8154 def absTerm appTerm appTerm absTerm 8155 def 2494 ref appTerm 8156 def betaConv 1486 ref 19 ref 1442 ref 23 ref 7170 ref 162 ref appTerm appTerm 101 ref 1477 ref 210 ref 1487 ref appTerm 8157 def 1447 ref appTerm 8158 def 1478 ref appTerm 8159 def absTerm appTerm appTerm absTerm appTerm absTerm 8160 def 7698 ref appTerm 8161 def betaConv 7177 remove 161 ref appTerm 8162 def betaConv 7180 remove nil 7181 remove 347 ref 8162 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 7182 remove 5471 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8160 ref appTerm nil cons cons 347 ref 8161 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8160 remove nil cons cons 700 ref 7776 ref cons nil cons 8163 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8155 ref appTerm nil cons cons 347 ref 8156 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8155 remove nil cons cons 3403 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 1612 ref 7707 ref 2494 ref appTerm appTerm 162 ref appTerm 8164 def appTerm 101 ref 1477 ref 7794 ref 1478 ref appTerm 8165 def absTerm 8166 def appTerm 8167 def appTerm 8168 def nil cons cons 8150 ref cons nil cons cons 403 ref subst proveHyp 2012 ref 7790 ref 2604 ref subst 7961 ref trans appThm 7985 remove assume 7962 ref trans 7961 ref trans 8169 def appThm nil 1442 ref 7966 remove cons nil cons nil cons cons 3627 ref subst 8170 def trans sym 81 ref eqMp nil 346 ref 8164 ref nil cons cons 8171 def 347 ref 23 ref 8167 ref appTerm 8015 ref appTerm 8172 def nil cons cons nil cons 8173 def cons nil cons cons 412 ref subst proveHyp nil 83 ref "crd" 8 ref var 8174 def 23 ref 8166 ref 8174 ref varTerm 8175 def appTerm 8176 def appTerm 8015 ref appTerm 8177 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 8174 remove nil 77 ref 8177 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8176 ref nil cons 8178 def cons 8150 ref cons nil cons cons 8179 def 362 ref subst 8179 remove 412 ref subst 8176 ref betaConv 8176 remove assume eqMp nil 346 ref 7794 ref 8175 ref appTerm 8180 def nil cons 8181 def cons 8182 def 8150 remove cons nil cons cons 8183 def 403 ref subst proveHyp 8183 ref 362 ref subst 8183 remove 412 ref subst nil 415 ref 5278 ref nil cons 8184 def cons 8185 def 1477 ref 4277 ref 4278 ref 5281 ref appTerm 8186 def appTerm 8175 ref appTerm 8187 def nil cons 8188 def cons nil cons cons nil cons cons 6366 ref subst sym 415 ref 99 ref 1486 ref 1488 ref 1467 ref 2494 ref appTerm 8189 def appTerm 5278 ref appTerm absTerm appTerm absTerm 8190 def 161 ref appTerm betaConv sym 1486 ref 8157 ref 8189 ref appTerm 5278 ref appTerm absTerm 8191 def 5258 ref appTerm betaConv sym 7995 remove 7343 ref 2494 ref refl 8192 def appThm nil 2540 ref 7345 ref cons nil cons cons 2604 ref subst 1939 ref nil 2540 ref nil cons nil cons cons 8193 def 1715 ref subst appThm trans trans 8194 def appThm 7148 remove appThm nil 77 ref 8137 ref cons nil cons nil cons cons 82 ref subst 8007 ref assume eqMp trans sym 81 ref eqMp eqMp 93 ref 90 ref 8191 remove nil cons cons 700 ref 7700 ref cons nil cons 8195 def cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 8190 ref nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 8190 remove appTerm nil cons cons 347 ref 122 ref 123 ref 5278 ref appTerm 8196 def appTerm 8189 ref appTerm 8197 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1442 ref 8189 ref nil cons cons 1477 ref 8184 remove cons nil cons 8198 def cons nil cons cons 1442 ref 23 ref 101 ref 415 ref 99 ref 1486 ref 1490 ref absTerm 8199 def appTerm 8200 def absTerm 8201 def appTerm 8202 def appTerm 8203 def 4167 ref appTerm 8204 def absTerm 8205 def 1447 ref appTerm 8206 def betaConv 1477 ref 19 ref 8205 ref appTerm 8207 def absTerm 8208 def 1478 ref appTerm 8209 def betaConv nil 11 ref 415 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 1477 ref 1491 remove 4167 ref appTerm absTerm 8210 def appTerm 8211 def absTerm 8212 def appTerm 8213 def absTerm 8214 def appTerm 8215 def absTerm 8216 def appTerm 8217 def axiom nil 346 ref 8217 ref nil cons 8218 def cons 8219 def 347 ref 11 ref 8208 ref appTerm nil cons 8220 def cons nil cons cons nil cons cons 8221 def 403 ref subst proveHyp 8221 ref 362 ref subst 8221 remove 412 ref subst nil 83 ref 8208 remove nil cons cons 8222 def nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 8207 remove nil cons 8223 def cons nil cons nil cons cons 82 ref subst nil 90 ref 8205 remove nil cons cons 8224 def nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 8204 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8202 remove nil cons 8225 def cons 8226 def 4192 ref cons nil cons cons 8227 def 362 ref subst 8227 remove 412 ref subst nil 8219 ref 4192 ref cons nil cons cons 8228 def 403 ref subst nil 8226 remove 347 ref 23 ref 8217 remove appTerm 4167 ref appTerm 8229 def nil cons 8230 def cons nil cons 8231 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 8201 ref 857 ref appTerm 8232 def appTerm 8229 ref appTerm 8233 def absTerm 8234 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 8233 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8232 ref nil cons 8235 def cons 8231 ref cons nil cons cons 8236 def 362 ref subst 8236 remove 412 ref subst 8232 ref betaConv 8232 remove assume eqMp nil 346 ref 8200 ref nil cons cons 8231 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1486 ref 23 ref 8199 ref 1487 ref appTerm 8237 def appTerm 8229 ref appTerm 8238 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 8238 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8237 ref nil cons 8239 def cons 8231 ref cons nil cons cons 8240 def 362 ref subst 8240 remove 412 ref subst 8237 ref betaConv 8237 remove assume eqMp nil 346 ref 1490 remove nil cons 8241 def cons 8242 def 8231 remove cons nil cons cons 8243 def 403 ref subst proveHyp 8243 ref 362 ref subst 8243 remove 412 ref subst 8228 ref 362 ref subst 8228 remove 412 ref subst nil 8242 remove 4192 ref cons nil cons cons 403 ref subst 8210 ref 1478 ref appTerm 8244 def betaConv 8212 ref 1447 ref appTerm 8245 def betaConv 8214 ref 1487 ref appTerm 8246 def betaConv 8216 ref 857 ref appTerm 8247 def betaConv nil 8219 remove 347 ref 8247 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 83 ref 8216 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8215 remove nil cons cons 347 ref 8246 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8214 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8213 remove nil cons cons 347 ref 8245 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8212 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8211 remove nil cons cons 347 ref 8244 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8210 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 8218 remove cons 8248 def 4216 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8241 remove cons 381 ref 8230 remove cons nil cons 8249 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 8239 remove cons 8249 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 8199 ref 963 ref appTerm appTerm 8229 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 8200 remove appTerm 8229 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8199 remove nil cons cons 8249 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 8235 remove cons 8249 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 8234 remove appTerm nil cons cons 347 ref 8203 remove 8229 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8201 remove nil cons cons 8249 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 8225 remove cons 4216 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 8248 remove 381 ref 8220 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 8220 remove cons 347 ref 8209 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 8222 remove 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8223 remove cons 347 ref 8206 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 8224 remove 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 8250 def subst eqMp 56 ref "_33925" 16 ref var 8251 def 174 ref 5278 ref appTerm 8252 def 134 ref appTerm 8253 def 8251 remove varTerm appTerm 8187 ref appTerm absTerm 8254 def 8196 remove appTerm 8255 def appTerm refl 8254 ref 8189 ref appTerm betaConv appThm 383 ref 8255 remove betaConv appThm 8253 ref 8189 ref appTerm 8187 ref appTerm 8256 def refl appThm trans 8254 remove refl 8197 remove assume appThm eqMp sym 1017 ref nil 1054 ref 5281 ref nil cons 8257 def cons 8258 def 6377 ref 8185 remove nil cons 8259 def cons cons nil cons cons 6389 ref subst appThm 8252 ref refl 6391 ref appThm 8192 ref appThm 8175 ref refl 8260 def appThm appThm sym 1054 ref 8008 ref 56 ref 167 ref 5278 ref appTerm 8261 def 134 ref appTerm 8262 def 1057 ref appTerm appTerm 24 ref 3387 ref 2524 ref appTerm appTerm 8263 def 205 ref 5268 ref 134 ref appTerm appTerm 8264 def 1057 ref appTerm appTerm appTerm appTerm absTerm 8265 def 5281 ref appTerm 8266 def betaConv 1158 ref 14 ref 1054 ref 8008 ref 56 ref 8261 remove 1161 ref appTerm 1057 ref appTerm appTerm 24 ref 1406 ref 2524 ref appTerm appTerm 205 ref 5268 ref 1161 ref appTerm appTerm 1057 ref appTerm 8267 def appTerm 8268 def appTerm appTerm absTerm appTerm absTerm 8269 def 134 ref appTerm 8270 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 8006 remove 1478 ref appTerm appTerm 8271 def 1480 ref 8268 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8272 def 5278 ref appTerm 8273 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 5276 ref 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 8267 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8274 def 2524 ref appTerm 8275 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 8159 remove appTerm 1480 ref 1483 ref 205 ref 1493 ref appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8276 def 5258 ref appTerm 8277 def betaConv 1497 ref 161 ref appTerm 8278 def betaConv 1500 ref nil 1501 ref 347 ref 8278 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 ref 5471 ref cons nil cons cons 414 ref subst eqMp eqMp 8279 def nil 346 ref 19 ref 8276 ref appTerm nil cons cons 8280 def 347 ref 8277 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8276 ref nil cons cons 8281 def 8195 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8274 ref appTerm nil cons cons 347 ref 8275 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8274 remove nil cons cons 700 ref 7996 remove cons nil cons 8282 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 8272 ref appTerm nil cons cons 347 ref 8273 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8272 remove nil cons cons 8259 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8269 ref appTerm nil cons cons 347 ref 8270 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8269 remove nil cons cons 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 8265 ref appTerm nil cons cons 347 ref 8266 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8265 remove nil cons cons 404 ref 8257 ref cons nil cons 8283 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8008 ref 56 ref 8262 remove 5281 ref appTerm 8284 def appTerm 8263 remove 8264 remove 5281 ref appTerm appTerm 8285 def appTerm 8286 def appTerm 8287 def nil cons cons 347 ref 24 ref 8284 ref appTerm 8252 ref 135 ref appTerm 8288 def 2494 ref appTerm 8289 def 8175 ref appTerm 8290 def appTerm 8291 def nil cons 8292 def cons nil cons 8293 def cons nil cons cons 403 ref subst proveHyp nil 8138 ref 347 ref 23 ref 8286 ref appTerm 8291 ref appTerm 8294 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 8286 ref nil cons 8295 def cons 8293 remove cons nil cons cons 8296 def 362 ref subst 8296 remove 412 ref subst 56 ref "_33927" 2 ref var 8297 def 24 ref 8297 remove varTerm appTerm 8290 ref appTerm absTerm 8298 def 8284 remove appTerm 8299 def appTerm refl 8298 ref 8285 ref appTerm betaConv appThm 383 ref 8299 remove betaConv appThm 24 ref 8285 remove appTerm 8290 ref appTerm refl appThm trans 8298 remove refl 8286 remove assume appThm eqMp sym 1017 ref 1017 ref 8193 ref 3399 ref subst 8300 def appThm 205 ref refl 8301 def 7992 remove 1317 ref subst appThm 5281 ref refl 8302 def appThm nil 77 ref 7691 remove cons nil cons nil cons cons 82 ref subst 5282 remove assume eqMp 8303 def trans appThm 1030 ref trans appThm 8290 ref refl appThm nil 77 ref 8290 ref nil cons 8304 def cons nil cons nil cons cons 1026 ref subst trans sym 5396 ref 8008 ref 56 ref 8289 remove 5397 ref appTerm appTerm 24 ref 1612 ref 8189 remove appTerm 2524 ref appTerm appTerm 8305 def 210 ref 5269 remove appTerm 8306 def 2494 ref appTerm 8307 def 5397 ref appTerm appTerm appTerm appTerm absTerm 8308 def 8175 ref appTerm 8309 def betaConv 1442 ref 11 ref 5396 ref 8008 ref 56 ref 8288 remove 1447 ref appTerm 5397 ref appTerm appTerm 24 ref 1612 ref 1467 ref 1447 ref appTerm appTerm 8310 def 2524 ref appTerm appTerm 8306 remove 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 8311 def 2494 ref appTerm 8312 def betaConv 1486 ref 19 ref 1442 ref 11 ref 5396 ref 8008 ref 56 ref 8252 ref 1487 ref appTerm 1447 ref appTerm 5397 ref appTerm appTerm 24 ref 7170 ref 2524 ref appTerm appTerm 210 ref 5268 remove 1487 ref appTerm appTerm 1447 ref appTerm 5397 ref appTerm 8313 def appTerm 8314 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8315 def 135 ref appTerm 8316 def betaConv 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 8271 remove 56 ref 174 ref 1478 ref appTerm 1487 ref appTerm 1447 ref appTerm 8317 def 5397 ref appTerm appTerm 8318 def 8314 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8319 def 5278 ref appTerm 8320 def betaConv 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 5276 remove 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 24 ref 7170 ref 1310 ref appTerm appTerm 8321 def 8313 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8322 def 2524 ref appTerm 8323 def betaConv 2281 ref 19 ref 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 210 ref 2283 ref appTerm 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 210 ref 3061 ref 1487 ref appTerm 8324 def appTerm 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8325 def 5258 ref appTerm 8326 def betaConv 415 ref 19 ref 2281 ref 19 ref 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 1212 ref 2283 ref appTerm 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 1212 remove 8324 ref appTerm 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8327 def 161 ref appTerm 8328 def betaConv nil 11 ref 8327 ref appTerm 8329 def axiom 8330 def nil 346 ref 8329 remove nil cons cons 8331 def 347 ref 8328 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8327 ref nil cons cons 8332 def 5471 ref cons nil cons cons 414 ref subst eqMp eqMp 8333 def nil 346 ref 19 ref 8325 ref appTerm nil cons cons 8334 def 347 ref 8326 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8325 ref nil cons cons 8335 def 8195 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8322 ref appTerm nil cons cons 347 ref 8323 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8322 remove nil cons cons 8282 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 8319 ref appTerm nil cons cons 347 ref 8320 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8319 remove nil cons cons 8259 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8315 ref appTerm nil cons cons 347 ref 8316 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8315 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8311 ref appTerm nil cons cons 347 ref 8312 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8311 remove nil cons cons 3403 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 8308 ref appTerm nil cons cons 347 ref 8309 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8308 remove nil cons cons 415 ref 8175 ref nil cons 8336 def cons 8337 def nil cons 8338 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8008 remove 56 ref 8290 ref appTerm 8305 remove 8307 remove 8175 ref appTerm appTerm appTerm 8339 def appTerm 8340 def nil cons cons 347 ref 8304 ref cons nil cons 8341 def cons nil cons cons 403 ref subst proveHyp nil 8138 ref 347 ref 23 ref 8339 ref appTerm 8290 ref appTerm 8342 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 8339 ref nil cons 8343 def cons 8341 remove cons nil cons cons 8344 def 362 ref subst 8344 remove 412 ref subst 8339 remove assume sym 1017 ref 2012 ref 8194 remove appThm 2524 remove refl appThm nil 7997 remove nil cons nil cons cons 3627 ref subst trans appThm 210 ref refl 8345 def 7993 remove appThm 8192 ref appThm 8260 ref appThm nil 77 ref 8181 ref cons nil cons nil cons cons 82 ref subst 8180 ref assume eqMp 8346 def trans appThm 1030 ref trans sym 81 ref eqMp eqMp eqMp nil 379 ref 8343 ref cons 381 ref 8304 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 8007 remove appTerm 8347 def 8342 remove appTerm nil cons cons 347 ref 23 ref 8340 remove appTerm 8290 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8304 remove cons 347 ref 8343 remove cons 8138 remove nil cons 8348 def cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp nil 379 ref 8295 ref cons 381 ref 8292 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 8347 remove 8294 remove appTerm nil cons cons 347 ref 23 ref 8287 remove appTerm 8291 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8292 remove cons 347 ref 8295 remove cons 8348 remove cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp nil 346 ref 24 ref 8253 remove 135 ref appTerm 8186 ref appTerm appTerm 8252 remove 6395 ref appTerm 2494 ref appTerm 8175 ref appTerm appTerm nil cons cons 347 ref 8256 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5396 ref 8336 ref cons 1477 ref 8186 remove nil cons cons 2540 remove 3642 ref 6397 ref 8259 remove cons cons cons cons cons nil cons cons 6450 ref subst eqMp eqMp proveHyp eqMp nil 346 ref 4287 ref 8187 ref appTerm 5278 ref appTerm nil cons cons 347 ref 4287 ref 5278 ref appTerm 8187 remove appTerm 8349 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 415 ref 8188 remove cons 8198 remove cons nil cons cons 86 ref 7003 remove subst 8350 def subst eqMp 6184 remove 6186 remove 6187 remove 1442 ref 38 ref 1908 ref 1447 ref appTerm 8351 def appTerm 8352 def absTerm 8353 def 8009 ref appTerm 8354 def betaConv nil 19 ref 8353 ref appTerm 8355 def axiom 8356 def nil 346 ref 8355 remove nil cons cons 8357 def 347 ref 8354 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8353 ref nil cons cons 8358 def 700 ref 8009 ref nil cons 8359 def cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 38 ref 1400 ref 8009 ref appTerm 8360 def 8009 ref appTerm 8361 def appTerm nil cons 8362 def cons 669 ref cons nil cons cons 403 ref subst proveHyp nil 77 ref 8362 remove cons nil cons nil cons cons 838 ref subst nil 77 ref 8361 remove nil cons cons nil cons nil cons cons 3822 ref subst trans sym 8360 ref refl 8363 def 8010 ref assume sym appThm sym 1442 ref 24 ref 8360 ref 1447 ref appTerm appTerm 1985 ref 5288 ref appTerm appTerm absTerm 8364 def 5287 ref appTerm betaConv sym 24 ref 8360 ref 5287 ref appTerm 8365 def appTerm refl nil 1308 ref 5285 remove nil cons cons 8366 def 1442 ref 5287 remove nil cons 8367 def cons 8368 def nil cons cons nil cons cons 3076 ref subst appThm nil 77 ref 8365 remove nil cons cons nil cons nil cons cons 1690 ref subst trans sym 8363 remove 5361 ref 1889 ref refl 8369 def 8349 remove assume appThm 1905 ref refl 8370 def appThm nil 6142 ref 8337 ref 8258 remove nil cons cons cons nil cons cons 6487 ref subst 6476 remove refl 8371 def nil 77 ref 7695 remove cons nil cons nil cons cons 82 ref subst 5293 ref assume eqMp 8372 def appThm 1889 ref 8175 ref appTerm 8373 def 1905 ref appTerm 8374 def refl appThm trans trans appThm 8375 def nil 6488 ref 8374 ref nil cons cons 7338 ref cons nil cons cons 6506 ref subst 8376 def trans 8377 def appThm sym 2536 ref nil 2073 ref 5509 ref cons nil cons cons 7336 remove subst 8378 def appThm nil 20 ref 1886 ref 8374 remove appTerm 8379 def nil cons 8380 def cons 7338 ref cons nil cons cons 6520 ref subst 8381 def 7339 ref 5241 ref 8379 ref appTerm 8382 def refl 8383 def appThm trans appThm sym 1400 ref 5241 ref 7785 ref appTerm 8384 def appTerm refl 7343 ref 8383 ref appThm nil 1442 ref 8382 ref nil cons cons 8385 def 7345 ref cons nil cons cons 2604 ref subst 1939 ref nil 8385 ref nil cons nil cons cons 1715 ref subst appThm trans 8386 def trans appThm nil 8385 ref 1308 ref 8384 ref nil cons cons nil cons cons nil cons cons 1621 ref subst trans sym 2012 ref nil 1442 ref 7785 ref nil cons 8387 def cons nil cons nil cons cons 8388 def 1442 ref 122 ref 6237 ref appTerm 8389 def 6929 remove 135 ref appTerm 8390 def appTerm 8391 def absTerm 8392 def 1447 ref appTerm 8393 def betaConv 1432 ref 1442 ref 8391 remove assume sym 122 ref 8390 remove appTerm 6237 ref appTerm 8394 def assume sym deductAntisym absThm appThm nil 19 ref 1442 ref 8394 remove absTerm appTerm axiom eqMp nil 346 ref 19 ref 8392 ref appTerm nil cons cons 347 ref 8393 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8392 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 8395 def subst appThm nil 1442 ref 8380 ref cons 8396 def nil cons nil cons cons 8395 remove subst appThm nil "n2" 16 ref var 8397 def 8380 ref cons 7169 ref "n1" 16 ref var 8398 def 8387 ref cons nil cons cons cons nil cons cons 8397 ref 56 ref 1612 ref 6896 ref 8398 ref varTerm 8399 def appTerm 1487 ref appTerm appTerm 6896 ref 8397 remove varTerm 8400 def appTerm 1487 ref appTerm appTerm appTerm 1612 ref 8399 ref appTerm 8400 ref appTerm appTerm absTerm 8401 def 8400 ref appTerm 8402 def betaConv 8398 remove 19 ref 8401 ref appTerm 8403 def absTerm 8404 def 8399 ref appTerm 8405 def betaConv 1486 ref 19 ref 8404 ref appTerm 8406 def absTerm 8407 def 1487 ref appTerm 8408 def betaConv nil 19 ref 8407 ref appTerm 8409 def axiom nil 346 ref 8409 remove nil cons cons 347 ref 8408 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8407 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8406 remove nil cons cons 347 ref 8405 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8404 remove nil cons cons 700 ref 8399 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8403 remove nil cons cons 347 ref 8402 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8401 remove nil cons cons 700 ref 8400 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp subst trans sym 1054 ref 24 ref 167 ref 8175 ref appTerm 8410 def 1058 ref appTerm 8411 def 1057 ref appTerm 8412 def appTerm 1066 remove 1905 ref appTerm appTerm absTerm 8413 def 6008 ref appTerm betaConv sym 24 ref 8411 remove 6008 ref appTerm 8414 def appTerm refl 6220 remove appThm nil 77 ref 8414 ref nil cons 8415 def cons nil cons nil cons cons 1690 ref subst trans sym 1054 ref 23 ref 8180 ref appTerm 8416 def 56 ref 8412 remove appTerm 24 ref 1400 ref 1058 ref appTerm 2494 ref appTerm appTerm 8417 def 205 ref 7707 ref 1058 ref appTerm 8418 def appTerm 8419 def 1057 ref appTerm appTerm appTerm appTerm absTerm 8420 def 6008 ref appTerm 8421 def betaConv 1158 ref 14 ref 1054 ref 8416 ref 56 ref 8410 ref 1161 ref appTerm 1057 ref appTerm appTerm 24 ref 1406 ref 2494 ref appTerm appTerm 8422 def 205 ref 7707 ref 1161 ref appTerm 8423 def appTerm 1057 ref appTerm 8424 def appTerm 8425 def appTerm appTerm absTerm appTerm absTerm 8426 def 1058 ref appTerm 8427 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 8165 remove appTerm 8428 def 1480 ref 8425 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8429 def 8175 ref appTerm 8430 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 8154 remove appTerm 1480 ref 1483 ref 8424 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8431 def 2494 ref appTerm 8432 def betaConv 8276 ref 7698 ref appTerm 8433 def betaConv 8279 ref nil 8280 ref 347 ref 8433 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 8281 ref 8163 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8431 ref appTerm nil cons cons 347 ref 8432 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8431 remove nil cons cons 3403 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 8429 ref appTerm nil cons cons 347 ref 8430 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8429 remove nil cons cons 8338 ref cons nil cons cons 414 ref subst eqMp eqMp 8434 def nil 346 ref 19 ref 8426 ref appTerm nil cons cons 8435 def 347 ref 8427 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8426 ref nil cons cons 8436 def 1108 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 8420 ref appTerm nil cons cons 347 ref 8421 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8420 remove nil cons cons 6216 ref cons nil cons cons 414 ref subst eqMp eqMp 8437 def nil 346 ref 8416 ref 56 ref 8414 ref appTerm 8417 remove 8419 remove 6008 ref appTerm appTerm 8438 def appTerm 8439 def appTerm 8440 def nil cons cons 8441 def 347 ref 8415 ref cons nil cons 8442 def cons nil cons cons 403 ref subst proveHyp nil 8182 ref 347 ref 23 ref 8439 ref appTerm 8443 def 8414 ref appTerm 8444 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 8439 ref nil cons 8445 def cons 8446 def 8442 remove cons nil cons cons 8447 def 362 ref subst 8447 remove 412 ref subst 8439 remove assume 8448 def sym 1017 ref nil 3068 ref nil cons cons 8449 def 5890 ref subst appThm 8301 ref 7773 ref 2604 ref subst 8450 def 7773 ref 3090 remove subst trans appThm 6008 ref refl 8451 def appThm nil 77 ref 7837 ref cons nil cons nil cons cons 82 ref subst 7836 remove assume eqMp trans appThm 1030 ref trans 8452 def sym 81 ref eqMp eqMp eqMp nil 379 ref 8445 ref cons 8453 def 381 ref 8415 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 8180 remove appTerm 8454 def 8444 remove appTerm nil cons cons 347 ref 23 ref 8440 remove appTerm 8455 def 8414 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8415 remove cons 347 ref 8445 remove cons 8182 ref nil cons 8456 def cons 8457 def cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp 52 ref 5 ref 8413 ref nil cons cons 6216 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 108 ref 8413 remove appTerm nil cons cons 347 ref 1612 ref 7785 ref appTerm 8379 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 6142 ref 8337 ref 1159 remove nil cons cons cons nil cons cons 20 ref 23 ref 108 ref 1054 ref 6200 ref absTerm 8458 def appTerm 8459 def appTerm 8460 def 6202 ref appTerm 8461 def absTerm 8462 def 29 ref appTerm 8463 def betaConv 415 ref 19 ref 8462 ref appTerm 8464 def absTerm 8465 def 857 ref appTerm 8466 def betaConv 1158 ref 11 ref 8465 ref appTerm 8467 def absTerm 8468 def 1161 ref appTerm 8469 def betaConv 6212 remove nil 6214 ref 347 ref 19 ref 8468 ref appTerm nil cons 8470 def cons nil cons cons nil cons cons 8471 def 403 ref subst proveHyp 8471 ref 362 ref subst 8471 remove 412 ref subst nil 90 ref 8468 remove nil cons cons 8472 def nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 8467 remove nil cons 8473 def cons nil cons nil cons cons 82 ref subst nil 83 ref 8465 remove nil cons cons 8474 def nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 8464 remove nil cons 8475 def cons nil cons nil cons cons 82 ref subst nil 90 ref 8462 remove nil cons cons 8476 def nil cons nil cons cons 95 ref subst 20 ref nil 77 ref 8461 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8459 remove nil cons 8477 def cons 8478 def 347 ref 6202 ref nil cons 8479 def cons nil cons 8480 def cons nil cons cons 8481 def 362 ref subst 8481 remove 412 ref subst nil 6214 ref 8480 ref cons nil cons cons 8482 def 403 ref subst nil 8478 remove 347 ref 23 ref 6211 remove appTerm 6202 remove appTerm 8483 def nil cons 8484 def cons nil cons 8485 def cons nil cons cons 403 ref subst nil 5 ref 1054 ref 23 ref 8458 ref 1057 ref appTerm 8486 def appTerm 8483 ref appTerm 8487 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 1054 ref nil 77 ref 8487 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8486 ref nil cons 8488 def cons 8485 ref cons nil cons cons 8489 def 362 ref subst 8489 remove 412 ref subst 8486 ref betaConv 8486 remove assume eqMp nil 346 ref 6200 remove nil cons 8490 def cons 8491 def 8485 remove cons nil cons cons 8492 def 403 ref subst proveHyp 8492 ref 362 ref subst 8492 remove 412 ref subst 8482 ref 362 ref subst 8482 remove 412 ref subst nil 8491 remove 8480 remove cons nil cons cons 403 ref subst 6203 ref 29 ref appTerm 8493 def betaConv 6205 ref 1057 ref appTerm 8494 def betaConv 6207 ref 1161 ref appTerm 8495 def betaConv 6209 remove 857 ref appTerm 8496 def betaConv nil 6214 remove 347 ref 8496 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 6215 remove 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6208 remove nil cons cons 347 ref 8495 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6207 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6206 remove nil cons cons 347 ref 8494 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 6205 remove nil cons cons 1106 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6204 remove nil cons cons 347 ref 8493 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 6203 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 6213 remove cons 8497 def 381 ref 8479 remove cons nil cons 8498 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8490 remove cons 381 ref 8484 remove cons nil cons 8499 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 8488 remove cons 8499 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 8458 ref 684 ref appTerm appTerm 8483 ref appTerm absTerm appTerm nil cons cons 347 ref 8460 remove 8483 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8458 remove nil cons cons 8499 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 8477 remove cons 8498 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 8497 remove 381 ref 8470 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 8470 remove cons 347 ref 8469 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 8472 remove 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8473 remove cons 347 ref 8466 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 8474 remove 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8475 remove cons 347 ref 8463 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 8476 remove 702 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp 93 ref 90 ref 8364 ref nil cons cons 700 ref 8367 remove cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 8364 remove appTerm nil cons cons 347 ref 8360 remove 5288 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 ref 5288 remove nil cons cons 1308 ref 8359 remove cons nil cons cons nil cons cons 3815 ref subst eqMp eqMp eqMp eqMp eqMp 6307 remove deductAntisym eqMp eqMp 4748 ref 5264 ref 4748 ref "_33934" 8 ref var 8500 def 3913 ref 5266 ref 8014 ref refl 24 ref 7794 remove 8500 remove varTerm 8501 def appTerm appTerm refl 7721 ref 24 ref 122 ref 7728 remove 1886 ref 1889 ref 8501 remove appTerm 7727 ref appTerm appTerm appTerm appTerm 7785 ref appTerm appTerm refl 7733 remove refl 839 ref 6319 ref appThm 3162 ref trans appThm nil 77 ref 7732 ref nil cons cons nil cons nil cons cons 8502 def 1690 ref subst trans appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm sym 1400 ref 7698 ref appTerm 8503 def refl 8504 def 7983 remove assume 7962 ref trans 7961 ref trans 8505 def appThm nil 1442 ref 7965 remove nil cons cons 8506 def 7747 ref cons nil cons cons 1462 ref subst nil 1442 ref 7964 remove nil cons cons 7747 remove cons nil cons cons 1621 ref subst 7773 remove 2615 ref subst trans trans 8507 def trans sym 81 ref eqMp nil 346 ref 8503 ref 158 ref appTerm nil cons cons 347 ref 108 ref "srs0" 1 ref var 8508 def 7235 ref 7698 ref appTerm 8508 ref varTerm 8509 def appTerm 8510 def absTerm 8511 def appTerm 8512 def nil cons 8513 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1158 ref 7776 ref cons 8514 def 5421 ref cons nil cons cons 1560 ref subst eqMp nil 346 ref 8513 remove cons 347 ref 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 8014 remove 7795 ref 7720 ref 7786 remove 7732 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8515 def appTerm 8516 def nil cons 8517 def cons nil cons 8518 def cons nil cons cons 403 ref subst nil 5 ref 8508 ref 23 ref 8511 ref 8509 ref appTerm 8519 def appTerm 8516 ref appTerm 8520 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 8508 remove nil 77 ref 8520 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8519 ref nil cons 8521 def cons 8518 ref cons nil cons cons 8522 def 362 ref subst 8522 remove 412 ref subst 8519 ref betaConv 8519 remove assume eqMp nil 346 ref 8510 ref nil cons 8523 def cons 8518 ref cons nil cons cons 8524 def 403 ref subst proveHyp 8524 ref 362 ref subst 8524 remove 412 ref subst 2012 ref 7778 remove 2604 ref subst 1939 ref 8450 ref appThm trans appThm 8525 def 8505 remove appThm 8170 ref trans sym 81 ref eqMp nil 346 ref 1612 ref 130 ref 8011 ref appTerm 1058 ref appTerm appTerm 8526 def 158 ref appTerm nil cons cons 347 ref 101 ref "srd" 8 ref var 8527 def 8013 remove 8527 ref varTerm 8528 def appTerm 8529 def absTerm 8530 def appTerm 8531 def nil cons 8532 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2073 ref 1486 ref 8011 ref nil cons 8533 def cons 8534 def 5421 ref cons cons nil cons cons 7183 ref subst eqMp nil 346 ref 8532 remove cons 8518 ref cons nil cons cons 403 ref subst nil 83 ref 8527 ref 23 ref 8530 ref 8528 ref appTerm 8535 def appTerm 8516 ref appTerm 8536 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 8527 remove nil 77 ref 8536 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8535 ref nil cons 8537 def cons 8518 ref cons nil cons cons 8538 def 362 ref subst 8538 remove 412 ref subst 8535 ref betaConv 8535 remove assume eqMp nil 346 ref 8529 ref nil cons 8539 def cons 8518 ref cons nil cons cons 8540 def 403 ref subst proveHyp 8540 ref 362 ref subst 8540 remove 412 ref subst nil 415 ref 5273 ref nil cons 8541 def cons 8542 def 1477 ref 4277 ref 4278 ref 8509 ref appTerm 8543 def appTerm 8528 ref appTerm 8544 def nil cons 8545 def cons nil cons cons nil cons cons 6366 ref subst sym 415 ref 99 ref 1486 ref 1488 ref 1467 ref 1058 ref appTerm 8546 def appTerm 8547 def 5273 ref appTerm absTerm appTerm absTerm 8548 def 157 ref appTerm betaConv sym 1486 ref 5267 ref 1487 ref appTerm 8549 def 8546 ref appTerm 5273 ref appTerm absTerm 8550 def 7698 ref appTerm betaConv sym 8002 ref refl 7343 ref 3094 ref appThm nil 2073 ref 7345 ref cons nil cons cons 2604 ref subst 1939 ref 8449 ref 1715 ref subst 8551 def appThm trans trans 8552 def appThm 7143 remove appThm nil 77 ref 8133 ref cons nil cons nil cons cons 82 ref subst 8004 ref assume eqMp trans sym 81 ref eqMp eqMp 93 ref 90 ref 8550 remove nil cons cons 8163 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 8548 ref nil cons cons 5421 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 8548 remove appTerm nil cons cons 347 ref 122 ref 123 ref 5273 ref appTerm 8553 def appTerm 8546 ref appTerm 8554 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1442 ref 8546 ref nil cons cons 8555 def 1477 ref 8541 remove cons nil cons 8556 def cons nil cons cons 8250 ref subst eqMp 56 ref "_33935" 16 ref var 8557 def 174 ref 5273 ref appTerm 8558 def 134 ref appTerm 8559 def 8557 remove varTerm appTerm 8544 ref appTerm absTerm 8560 def 8553 remove appTerm 8561 def appTerm refl 8560 ref 8546 ref appTerm betaConv appThm 383 ref 8561 remove betaConv appThm 8559 ref 8546 ref appTerm 8544 ref appTerm 8562 def refl appThm trans 8560 remove refl 8554 remove assume appThm eqMp sym 1017 ref nil 1054 ref 8509 ref nil cons 8563 def cons 8564 def 6377 ref 8542 remove nil cons 8565 def cons cons nil cons cons 6389 ref subst appThm 8558 ref refl 6391 ref appThm 3094 ref appThm 8528 ref refl 8566 def appThm appThm sym 1054 ref 8005 ref 56 ref 167 ref 5273 ref appTerm 8567 def 134 ref appTerm 8568 def 1057 ref appTerm appTerm 24 ref 3387 ref 2494 ref appTerm appTerm 8569 def 7235 ref 7707 ref 134 ref appTerm 8570 def appTerm 8571 def 1057 ref appTerm appTerm appTerm appTerm absTerm 8572 def 8509 ref appTerm 8573 def betaConv 1158 ref 14 ref 1054 ref 8005 ref 56 ref 8567 remove 1161 ref appTerm 1057 ref appTerm appTerm 8422 remove 7235 ref 8423 remove appTerm 1057 ref appTerm 8574 def appTerm 8575 def appTerm appTerm absTerm appTerm absTerm 8576 def 134 ref appTerm 8577 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 8003 remove 1478 ref appTerm appTerm 8578 def 1480 ref 8575 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8579 def 5273 ref appTerm 8580 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 8002 ref 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 8574 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8581 def 2494 ref appTerm 8582 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 8549 remove 1447 ref appTerm 8583 def 1478 ref appTerm appTerm 1480 ref 1483 ref 7235 ref 1493 ref appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8584 def 7698 ref appTerm 8585 def betaConv 1497 ref 157 ref appTerm 8586 def betaConv 1500 ref nil 1501 ref 347 ref 8586 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 ref 5421 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8584 ref appTerm nil cons cons 347 ref 8585 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8584 remove nil cons cons 8163 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8581 ref appTerm nil cons cons 347 ref 8582 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8581 remove nil cons cons 3403 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 8579 ref appTerm nil cons cons 347 ref 8580 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8579 remove nil cons cons 8565 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8576 ref appTerm nil cons cons 347 ref 8577 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8576 remove nil cons cons 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 8572 ref appTerm nil cons cons 347 ref 8573 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8572 remove nil cons cons 404 ref 8563 ref cons nil cons 8587 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8005 ref 56 ref 8568 remove 8509 ref appTerm 8588 def appTerm 8569 ref 8571 remove 8509 ref appTerm appTerm 8589 def appTerm 8590 def appTerm 8591 def nil cons cons 347 ref 24 ref 8588 ref appTerm 8558 ref 135 ref appTerm 8592 def 1058 ref appTerm 8593 def 8528 ref appTerm 8594 def appTerm 8595 def nil cons 8596 def cons nil cons 8597 def cons nil cons cons 403 ref subst proveHyp nil 8134 ref 347 ref 23 ref 8590 ref appTerm 8595 ref appTerm 8598 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 8590 ref nil cons 8599 def cons 8597 remove cons nil cons cons 8600 def 362 ref subst 8600 remove 412 ref subst 56 ref "_33937" 2 ref var 8601 def 24 ref 8601 remove varTerm appTerm 8594 ref appTerm absTerm 8602 def 8588 remove appTerm 8603 def appTerm refl 8602 ref 8589 ref appTerm betaConv appThm 383 ref 8603 remove betaConv appThm 24 ref 8589 remove appTerm 8594 ref appTerm refl appThm trans 8602 remove refl 8590 remove assume appThm eqMp sym 1017 ref 1017 ref 8449 ref 3399 remove subst 8604 def appThm 8605 def 7235 ref refl 7999 remove 1317 ref subst 8606 def appThm 8509 ref refl appThm nil 77 ref 8523 ref cons nil cons nil cons cons 82 ref subst 8510 remove assume eqMp 8607 def trans appThm 1030 ref trans appThm 8594 ref refl appThm nil 77 ref 8594 ref nil cons 8608 def cons nil cons nil cons cons 1026 ref subst trans sym 5396 ref 8005 ref 56 ref 8593 remove 5397 ref appTerm appTerm 24 ref 1612 ref 8546 ref appTerm 2494 ref appTerm appTerm 8609 def 7783 ref 5397 ref appTerm appTerm appTerm appTerm absTerm 8610 def 8528 ref appTerm 8611 def betaConv 1442 ref 11 ref 5396 ref 8005 ref 56 ref 8592 remove 1447 ref appTerm 5397 ref appTerm appTerm 24 ref 8310 remove 2494 ref appTerm appTerm 8612 def 7709 remove 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 8613 def 1058 ref appTerm 8614 def betaConv 1486 ref 19 ref 1442 ref 11 ref 5396 ref 8005 ref 56 ref 8558 ref 1487 ref appTerm 1447 ref appTerm 5397 ref appTerm appTerm 24 ref 7170 ref 2494 ref appTerm appTerm 8615 def 5267 ref 7707 remove 1487 ref appTerm 8616 def appTerm 1447 ref appTerm 5397 ref appTerm 8617 def appTerm 8618 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8619 def 135 ref appTerm 8620 def betaConv 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 8578 remove 8318 ref 8618 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8621 def 5273 ref appTerm 8622 def betaConv 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 8002 remove 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 8617 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8623 def 2494 ref appTerm 8624 def betaConv 2281 ref 19 ref 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 5267 ref 2283 ref appTerm 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 5267 remove 8324 ref appTerm 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8625 def 7698 ref appTerm 8626 def betaConv 8327 ref 157 ref appTerm 8627 def betaConv 8330 ref nil 8331 ref 347 ref 8627 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 8332 ref 5421 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8625 ref appTerm nil cons cons 347 ref 8626 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8625 remove nil cons cons 8163 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8623 ref appTerm nil cons cons 347 ref 8624 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8623 remove nil cons cons 3403 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 8621 ref appTerm nil cons cons 347 ref 8622 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8621 remove nil cons cons 8565 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8619 ref appTerm nil cons cons 347 ref 8620 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8619 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8613 ref appTerm nil cons cons 347 ref 8614 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8613 remove nil cons cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 8610 ref appTerm nil cons cons 347 ref 8611 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8610 remove nil cons cons 415 ref 8528 ref nil cons 8628 def cons 8629 def nil cons 8630 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8005 remove 56 ref 8594 ref appTerm 8609 ref 7783 remove 8528 ref appTerm appTerm appTerm 8631 def appTerm 8632 def nil cons cons 347 ref 8608 ref cons nil cons 8633 def cons nil cons cons 403 ref subst proveHyp nil 8134 ref 347 ref 23 ref 8631 ref appTerm 8594 ref appTerm 8634 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 8631 ref nil cons 8635 def cons 8633 remove cons nil cons cons 8636 def 362 ref subst 8636 remove 412 ref subst 8631 remove assume sym 1017 ref 2012 ref 8552 ref appThm 8192 ref appThm 8193 remove 3627 ref subst trans appThm 8637 def 8001 remove 8566 remove appThm nil 77 ref 8539 ref cons nil cons nil cons cons 82 ref subst 8529 ref assume eqMp 8638 def trans appThm 1030 ref trans sym 81 ref eqMp eqMp eqMp nil 379 ref 8635 ref cons 381 ref 8608 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 8004 remove appTerm 8639 def 8634 remove appTerm nil cons cons 347 ref 23 ref 8632 remove appTerm 8594 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8608 remove cons 347 ref 8635 remove cons 8134 remove nil cons 8640 def cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp nil 379 ref 8599 ref cons 381 ref 8596 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 8639 remove 8598 remove appTerm nil cons cons 347 ref 23 ref 8591 remove appTerm 8595 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8596 remove cons 347 ref 8599 remove cons 8640 remove cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp nil 346 ref 24 ref 8559 remove 135 ref appTerm 8543 ref appTerm appTerm 8558 remove 6395 ref appTerm 1058 ref appTerm 8528 ref appTerm appTerm nil cons cons 347 ref 8562 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5396 ref 8628 ref cons 1477 ref 8543 remove nil cons cons 2073 ref 3642 ref 6397 ref 8565 remove cons cons cons cons cons nil cons cons 6450 ref subst eqMp eqMp proveHyp eqMp nil 346 ref 4287 ref 8544 ref appTerm 5273 ref appTerm nil cons cons 347 ref 4287 ref 5273 ref appTerm 8544 remove appTerm 8641 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 415 ref 8545 remove cons 8556 remove cons nil cons cons 8350 ref subst eqMp 8504 ref 8169 ref appThm 8507 ref trans sym 81 ref eqMp nil 346 ref 8503 ref 162 ref appTerm nil cons cons 347 ref 108 ref "crd0" 1 ref var 8642 def 7718 remove 8642 ref varTerm 8643 def appTerm 8644 def absTerm 8645 def appTerm 8646 def nil cons 8647 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 8514 ref 5471 ref cons nil cons cons 1560 ref subst eqMp nil 346 ref 8647 remove cons 8518 ref cons nil cons cons 403 ref subst nil 5 ref 8642 ref 23 ref 8645 ref 8643 ref appTerm 8648 def appTerm 8516 ref appTerm 8649 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 8642 remove nil 77 ref 8649 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8648 ref nil cons 8650 def cons 8518 ref cons nil cons cons 8651 def 362 ref subst 8651 remove 412 ref subst 8648 ref betaConv 8648 remove assume eqMp nil 346 ref 8644 ref nil cons 8652 def cons 8518 remove cons nil cons cons 8653 def 403 ref subst proveHyp 8653 ref 362 ref subst 8653 remove 412 ref subst 8515 ref 8528 ref appTerm betaConv sym 5265 ref 108 ref 5266 ref 24 ref 8529 remove appTerm 8654 def 7795 remove 7720 ref 24 ref 122 ref 130 ref 1886 ref 1889 ref 8528 ref appTerm 8655 def 7727 ref appTerm 8656 def appTerm 8657 def appTerm 8658 def 7729 remove appTerm appTerm 7785 ref appTerm appTerm 7732 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 8659 def 8175 ref appTerm betaConv sym 5266 ref 8654 remove 8454 ref 7720 remove 24 ref 122 ref 8658 ref 1886 ref 8373 remove 7727 ref appTerm appTerm appTerm appTerm 8660 def 7785 ref appTerm appTerm 8661 def 7732 remove appTerm appTerm appTerm appTerm absTerm 8662 def 8643 ref appTerm betaConv sym 1017 ref 8638 ref appThm 8663 def 1017 ref 8346 ref appThm 1017 ref nil 77 ref 8652 ref cons nil cons nil cons cons 82 ref subst 8644 remove assume eqMp 8664 def appThm 8661 remove 26 ref 8643 ref appTerm 8665 def 7727 ref appTerm 8666 def appTerm 8667 def refl 8668 def appThm nil 77 ref 8667 remove nil cons 8669 def cons nil cons nil cons cons 1026 ref subst 8670 def trans appThm 8670 ref trans appThm 8670 remove trans sym nil 8144 ref 347 ref 26 ref 8509 ref appTerm 8671 def 1905 ref appTerm 8672 def nil cons 8673 def cons nil cons cons nil cons cons 403 ref subst nil 796 ref 8673 ref cons 794 ref 8143 ref cons nil cons cons nil cons cons 794 ref 56 ref 2390 remove appTerm 2389 remove appTerm 8674 def absTerm 8675 def 2388 remove appTerm 8676 def betaConv 796 ref 785 ref 8675 ref appTerm 8677 def absTerm 8678 def 2387 remove appTerm 8679 def betaConv 3207 ref 796 ref 3207 remove 794 ref 8674 remove assume sym 2391 remove assume sym deductAntisym absThm appThm absThm appThm 2398 remove eqMp nil 346 ref 785 remove 8678 ref appTerm nil cons cons 347 ref 8679 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 ref 8678 remove nil cons cons 2399 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8677 remove nil cons cons 347 ref 8676 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 788 remove 8675 remove nil cons cons 2400 remove cons nil cons cons 414 ref subst eqMp eqMp subst sym nil 346 ref 38 ref 8672 ref appTerm nil cons 8680 def cons 8681 def 347 ref 38 ref 8010 remove appTerm nil cons 8682 def cons nil cons cons nil cons cons 8683 def 362 ref subst 8683 remove 412 ref subst 839 ref 1519 ref nil 8368 remove 8366 remove nil cons cons nil cons cons 1533 ref subst appThm 8009 remove refl appThm appThm sym 839 ref 1519 ref 2897 ref 8375 remove 8376 remove 8381 ref trans trans appThm 5361 ref 8369 ref 8641 remove assume appThm 8370 ref appThm 8684 def nil 6142 ref 8629 remove 8564 remove nil cons cons cons nil cons cons 6487 ref subst 8685 def 8371 ref nil 8681 remove 347 ref 56 ref 8672 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 379 ref 8673 ref cons nil cons nil cons cons 791 ref subst eqMp appThm 8655 ref 1905 ref appTerm 8686 def refl 8687 def appThm trans trans appThm nil 6488 ref 8686 ref nil cons cons 8688 def 7443 ref cons nil cons cons 6506 ref subst nil 20 ref 1886 ref 8686 ref appTerm 8689 def nil cons 8690 def cons 8691 def 7443 remove cons nil cons cons 6520 ref subst 7447 remove 5241 ref 8689 ref appTerm 8692 def refl 8693 def appThm nil 1442 ref 8692 ref nil cons 8694 def cons 8695 def nil cons nil cons cons 1715 ref subst 8696 def trans trans trans trans appThm nil 1980 ref 8694 ref cons 8385 ref 1308 ref 6751 ref nil cons cons nil cons cons cons nil cons cons 3053 ref subst 130 ref 6751 remove appTerm refl nil 1980 ref 8690 ref cons 8396 remove 5509 ref cons cons nil cons cons 7322 ref subst appThm trans trans appThm 8378 ref appThm appThm sym 839 ref 1519 ref nil 20 ref 130 ref 8379 ref appTerm 8689 ref appTerm 8697 def nil cons 8698 def cons 7338 ref cons nil cons cons 7332 remove subst appThm 8384 remove refl 8699 def appThm appThm sym 839 ref 122 ref 7350 remove 8697 ref appTerm appTerm refl 8388 remove 1442 ref 8389 remove 6497 remove 664 ref appTerm 1447 ref appTerm 8700 def appTerm 8701 def absTerm 8702 def 1447 ref appTerm 8703 def betaConv 1432 ref 1442 ref 8701 remove assume sym 122 ref 8700 remove appTerm 6237 remove appTerm 8704 def assume sym deductAntisym absThm appThm nil 19 ref 1442 ref 8704 remove absTerm appTerm axiom eqMp nil 346 ref 19 ref 8702 ref appTerm nil cons cons 347 ref 8703 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8702 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm nil 3256 remove 8387 ref cons 7422 remove 3257 remove 8698 remove cons 7354 remove 1028 ref cons nil cons cons cons cons nil cons cons 7379 remove subst 1017 ref 6782 remove appThm 122 ref 8697 remove appTerm 7785 ref appTerm 8705 def refl appThm nil 77 ref 8705 remove nil cons cons nil cons nil cons cons 3159 ref subst trans trans trans appThm 3162 ref trans sym 81 ref eqMp eqMp eqMp eqMp eqMp nil 379 ref 8680 remove cons 381 ref 8682 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 8144 remove 347 ref 8669 ref cons nil cons 8706 def cons nil cons cons 403 ref subst 96 ref 1519 ref 2897 ref 5361 ref 8684 remove 8685 remove 8371 ref nil 77 ref 8673 remove cons nil cons nil cons cons 82 ref subst 8672 ref assume eqMp 8707 def appThm 8687 remove appThm trans trans appThm nil 8688 remove 7338 ref cons nil cons cons 6506 ref subst trans appThm 8377 remove appThm appThm 8378 remove appThm appThm 8668 ref appThm sym 96 ref 1519 ref 2897 ref nil 8691 remove 7338 ref cons nil cons cons 6520 ref subst 2897 ref 6753 remove 1941 ref trans appThm 8708 def 8693 remove appThm nil 8695 remove 7345 ref cons nil cons cons 2604 ref subst 1939 ref 8696 remove appThm trans trans trans appThm 8381 remove 8708 remove 8383 remove appThm 8386 remove trans trans appThm nil 1442 ref 1377 ref 8382 ref appTerm nil cons cons 1308 ref 8694 remove cons nil cons 8709 def cons nil cons cons 2604 ref subst 1939 ref nil 8385 remove 8709 remove cons nil cons cons 1669 ref subst appThm trans trans appThm 8699 ref appThm appThm 8668 ref appThm sym 1432 ref 1442 ref 122 ref 1955 ref appTerm 8710 def refl 8711 def 2897 ref 6791 remove appThm 2263 ref appThm appThm absThm appThm sym 1432 ref 1442 ref 8711 remove 2897 ref 1945 remove appThm 2263 ref appThm nil 1308 ref 1947 ref cons nil cons nil cons cons 2604 ref subst 1939 ref nil 7345 ref nil cons cons 2604 ref subst 1939 ref 1715 ref appThm trans appThm trans trans appThm nil 700 ref 1955 remove nil cons cons nil cons nil cons cons 2745 ref subst trans absThm appThm 2342 ref trans sym 81 ref eqMp eqMp 96 ref 1519 ref nil 1442 ref 130 ref 8692 remove appTerm 8382 remove appTerm nil cons cons nil cons nil cons cons 1442 ref 8710 remove 130 ref 7285 remove appTerm 8712 def 1447 ref appTerm appTerm absTerm 8713 def 1447 ref appTerm 8714 def betaConv nil 346 ref 19 ref 8713 ref appTerm nil cons cons 347 ref 8714 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 8713 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm 8699 ref appThm appThm 8668 ref appThm sym 96 ref 1519 ref 8712 remove refl nil 1980 ref 8380 remove cons 8715 def 1442 ref 8690 ref cons 5509 ref cons cons nil cons cons 7322 ref subst appThm nil 1980 ref 130 ref 8689 remove appTerm 8716 def 8379 ref appTerm 8717 def nil cons 8718 def cons 1520 ref 5509 ref cons cons nil cons cons 7322 remove subst trans appThm 8699 remove appThm nil 1980 ref 8387 remove cons 1442 ref 1467 ref 8717 ref appTerm 8719 def nil cons cons 5509 remove cons cons nil cons cons 1980 ref 56 ref 122 ref 6227 remove appTerm 6228 remove appTerm appTerm 3564 remove 2971 remove appTerm appTerm absTerm 8720 def 1986 ref appTerm 8721 def betaConv 1442 ref 19 ref 8720 ref appTerm 8722 def absTerm 8723 def 1447 ref appTerm 8724 def betaConv 1308 ref 19 ref 8723 ref appTerm 8725 def absTerm 8726 def 1310 ref appTerm 8727 def betaConv nil 19 ref 8726 ref appTerm 8728 def axiom nil 346 ref 8728 remove nil cons cons 347 ref 8727 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8726 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8725 remove nil cons cons 347 ref 8724 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8723 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8722 remove nil cons cons 347 ref 8721 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8720 remove nil cons cons 2011 ref cons nil cons cons 414 ref subst eqMp eqMp subst trans appThm 8668 remove appThm sym nil 346 ref 2403 ref 6245 remove 134 ref appTerm 8729 def appTerm 122 ref 8719 ref appTerm 7785 ref appTerm 8730 def appTerm nil cons 8731 def cons 8706 ref cons nil cons cons 8732 def 362 ref subst 8732 remove 412 ref subst nil 346 ref 8730 ref nil cons 8733 def cons 8706 remove cons nil cons cons 8734 def 362 ref subst 8734 remove 412 ref subst 56 ref "_33941" 16 ref var 8735 def 24 ref 8660 ref 8735 remove varTerm appTerm appTerm 8666 ref appTerm absTerm 8736 def 7785 remove appTerm 8737 def appTerm refl 8736 ref 8719 ref appTerm betaConv appThm 383 ref 8737 remove betaConv appThm 24 ref 8660 ref 8719 ref appTerm 8738 def appTerm 8739 def 8666 ref appTerm refl appThm trans 8736 remove refl 8730 remove assume sym appThm eqMp sym 8504 ref 7981 remove assume 7962 ref trans 7961 ref trans 8740 def appThm 8507 ref trans sym 81 ref eqMp nil 346 ref 8503 ref 153 ref appTerm nil cons cons 347 ref 108 ref "cqd0" 1 ref var 8741 def 195 ref 7698 ref appTerm 8741 ref varTerm 8742 def appTerm 8743 def absTerm 8744 def appTerm 8745 def nil cons 8746 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 8514 ref 5469 ref cons nil cons cons 1560 ref subst eqMp nil 346 ref 8746 remove cons 347 ref 8666 ref nil cons 8747 def cons nil cons 8748 def cons nil cons cons 403 ref subst nil 5 ref 8741 ref 23 ref 8744 ref 8742 ref appTerm 8749 def appTerm 8666 ref appTerm 8750 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 8741 remove nil 77 ref 8750 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8749 ref nil cons 8751 def cons 8748 ref cons nil cons cons 8752 def 362 ref subst 8752 remove 412 ref subst 8749 ref betaConv 8749 remove assume eqMp nil 346 ref 8743 ref nil cons 8753 def cons 8748 ref cons nil cons cons 8754 def 403 ref subst proveHyp 8754 ref 362 ref subst 8754 remove 412 ref subst 20 ref 23 ref 256 ref 8742 ref appTerm 8755 def 8643 ref appTerm 8756 def appTerm 8757 def 56 ref 8665 remove 29 ref appTerm appTerm 711 ref 26 ref 8742 ref appTerm 8758 def 29 ref appTerm 8759 def appTerm 8760 def appTerm appTerm absTerm 8761 def 7727 ref appTerm 8762 def betaConv 718 ref 19 ref 20 ref 23 ref 8755 remove 719 ref appTerm appTerm 720 ref 8760 remove appTerm appTerm absTerm appTerm absTerm 8763 def 8643 ref appTerm 8764 def betaConv 723 ref 8742 ref appTerm 8765 def betaConv 742 ref nil 743 ref 347 ref 8765 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 744 ref 404 ref 8742 ref nil cons 8766 def cons nil cons 8767 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 8763 ref appTerm nil cons cons 347 ref 8764 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8763 remove nil cons cons 404 ref 8643 ref nil cons 8768 def cons nil cons 8769 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8761 ref appTerm nil cons cons 347 ref 8762 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8761 remove nil cons cons 700 ref 7727 ref nil cons 8770 def cons nil cons 8771 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8757 remove 56 ref 8666 ref appTerm 707 ref 28 ref 7727 ref appTerm 8772 def appTerm 709 ref 7727 ref appTerm appTerm 8758 ref 7727 ref appTerm 8773 def appTerm appTerm 8774 def appTerm 8775 def nil cons cons 8748 ref cons nil cons cons 403 ref subst proveHyp 415 ref 101 ref 1477 ref 101 ref 5396 ref 99 ref 1158 ref 7477 ref 7478 remove 24 ref 1479 ref 8742 ref appTerm appTerm 7479 ref 8643 ref appTerm 8776 def appTerm 8777 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8778 def 7987 ref appTerm betaConv sym 1477 ref 101 ref 5396 ref 99 ref 1158 ref 24 ref 7988 remove 1478 ref appTerm 5397 ref appTerm appTerm 8779 def 24 ref 167 ref 7987 ref appTerm 1161 ref appTerm 255 ref appTerm appTerm 8780 def 8777 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8781 def 152 ref appTerm betaConv sym 5396 ref 99 ref 1158 ref 24 ref 7989 remove 5397 ref appTerm appTerm 8782 def 8780 ref 24 ref 7486 remove 8742 ref appTerm appTerm 8783 def 8776 remove appTerm appTerm appTerm absTerm appTerm absTerm 8784 def 161 ref appTerm betaConv sym 1158 ref 24 ref 7990 ref appTerm 8785 def 8780 remove 8783 remove 5981 ref 8643 ref appTerm appTerm appTerm appTerm absTerm 8786 def 7698 ref appTerm betaConv sym 1017 ref nil 77 ref 8107 ref cons nil cons nil cons cons 82 ref subst 7990 remove assume eqMp appThm 8787 def 1017 ref nil 7490 ref 1486 ref 7776 ref cons 8788 def 1442 ref 7972 ref nil cons cons nil cons 8789 def cons cons nil cons cons 7501 ref subst 24 ref 8503 ref 7972 remove appTerm 8790 def appTerm refl 7504 ref appThm nil 77 ref 8790 remove nil cons cons nil cons nil cons cons 8791 def 1690 ref subst 8792 def trans trans appThm 1017 ref nil 77 ref 8753 ref cons nil cons nil cons cons 82 ref subst 8743 remove assume eqMp 8793 def appThm 8664 ref appThm 1030 ref trans appThm 8792 remove trans appThm 8791 remove 1026 ref subst trans sym 8504 ref 7963 ref appThm 8507 ref trans sym 81 ref eqMp eqMp eqMp 93 ref 90 ref 8786 remove nil cons cons 8163 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 8784 remove nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 8781 remove nil cons cons 5469 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 8778 ref nil cons cons 415 ref 7987 ref nil cons cons nil cons 8794 def cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 8778 remove appTerm nil cons cons 347 ref 8756 ref nil cons 8795 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 7508 ref 8768 ref cons 1567 ref 8766 ref cons 7510 remove cons cons nil cons cons 7610 remove subst eqMp nil 346 ref 8795 remove cons 8796 def 347 ref 23 ref 8774 ref appTerm 8666 ref appTerm 8797 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 8774 ref nil cons 8798 def cons 8748 remove cons nil cons cons 8799 def 362 ref subst 8799 remove 412 ref subst 8774 remove assume sym 753 ref 2746 ref 6830 ref appThm 8800 def 6040 remove 6041 remove eqMp 8801 def trans 8802 def appThm 709 ref refl 8803 def 6830 ref appThm appThm 8758 ref refl 8804 def 6830 ref appThm appThm nil 794 ref 8758 remove 5525 ref appTerm 8805 def nil cons 8806 def cons 6044 remove cons nil cons cons 6045 ref subst trans sym 8504 remove 7975 remove assume 7962 ref trans 7961 ref trans 8807 def appThm 8507 remove trans sym 81 ref eqMp nil 346 ref 8503 remove 140 ref appTerm nil cons cons 347 ref 108 ref "spd0" 1 ref var 8808 def 4640 ref 7698 ref appTerm 8808 ref varTerm 8809 def appTerm 8810 def absTerm 8811 def appTerm 8812 def nil cons 8813 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 8514 remove 6814 ref cons nil cons cons 1560 ref subst eqMp nil 346 ref 8813 remove cons 347 ref 8806 ref cons nil cons 8814 def cons nil cons cons 403 ref subst nil 5 ref 8808 ref 23 ref 8811 ref 8809 ref appTerm 8815 def appTerm 8805 ref appTerm 8816 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 8808 remove nil 77 ref 8816 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8815 ref nil cons 8817 def cons 8814 ref cons nil cons cons 8818 def 362 ref subst 8818 remove 412 ref subst 8815 ref betaConv 8815 remove assume eqMp nil 346 ref 8810 ref nil cons 8819 def cons 8814 ref cons nil cons cons 8820 def 403 ref subst proveHyp 8820 ref 362 ref subst 8820 remove 412 ref subst 1400 ref 5258 ref appTerm 8821 def refl 8822 def 7977 remove assume 8823 def appThm 7998 remove 6002 ref subst 8300 remove trans trans sym 81 ref eqMp nil 346 ref 8821 ref 144 ref appTerm nil cons cons 347 ref 108 ref "cpd0" 1 ref var 8824 def 180 ref 5258 ref appTerm 8824 ref varTerm 8825 def appTerm 8826 def absTerm 8827 def appTerm 8828 def nil cons 8829 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1158 ref 7700 remove cons 6134 ref cons nil cons cons 1560 ref subst eqMp nil 346 ref 8829 remove cons 8814 ref cons nil cons cons 403 ref subst nil 5 ref 8824 ref 23 ref 8827 ref 8825 ref appTerm 8830 def appTerm 8805 ref appTerm 8831 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 8824 remove nil 77 ref 8831 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 8830 ref nil cons 8832 def cons 8814 ref cons nil cons cons 8833 def 362 ref subst 8833 remove 412 ref subst 8830 ref betaConv 8830 remove assume eqMp nil 346 ref 8826 ref nil cons 8834 def cons 8814 ref cons nil cons cons 8835 def 403 ref subst proveHyp 8835 ref 362 ref subst 8835 remove 412 ref subst nil 6616 remove 8814 ref cons nil cons cons 403 ref subst 96 ref nil 6577 ref 6469 remove cons 6583 ref 6396 remove cons 6891 remove 6605 ref cons cons cons nil cons cons 6577 ref 56 ref 6595 ref appTerm 24 ref "Hardware.Bus.xor2" const 221 ref constTerm 8836 def 857 ref appTerm 1478 ref appTerm 8837 def 6584 ref appTerm appTerm "Hardware.Bus.and2" const 221 ref constTerm 8838 def 857 ref appTerm 1478 ref appTerm 8839 def 6578 ref appTerm appTerm appTerm absTerm 8840 def 6578 ref appTerm 8841 def betaConv 6583 ref 11 ref 8840 ref appTerm 8842 def absTerm 8843 def 6584 ref appTerm 8844 def betaConv 1477 ref 11 ref 8843 ref appTerm 8845 def absTerm 8846 def 1478 ref appTerm 8847 def betaConv 415 ref 11 ref 8846 ref appTerm 8848 def absTerm 8849 def 857 ref appTerm 8850 def betaConv nil 11 ref 8849 ref appTerm 8851 def axiom 8852 def nil 346 ref 8851 remove nil cons cons 8853 def 347 ref 8850 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8849 ref nil cons cons 8854 def 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8848 remove nil cons cons 347 ref 8847 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8846 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8845 remove nil cons cons 347 ref 8844 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8843 remove nil cons cons 415 ref 6584 ref nil cons cons nil cons 8855 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8842 remove nil cons cons 347 ref 8841 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8840 remove nil cons cons 415 ref 6578 ref nil cons cons nil cons 8856 def cons nil cons cons 414 ref subst eqMp eqMp subst appThm 8805 ref refl appThm sym nil 346 ref 24 ref 8836 ref 4646 ref appTerm 188 ref appTerm 4655 ref appTerm 8857 def appTerm 8838 ref 4646 ref appTerm 8858 def 188 ref appTerm 8859 def 202 ref appTerm 8860 def appTerm nil cons 8861 def cons 8814 ref cons nil cons cons 8862 def 362 ref subst 8862 remove 412 ref subst nil 379 ref 8857 remove nil cons cons 381 ref 8860 ref nil cons 8863 def cons nil cons cons nil cons cons 428 ref subst 20 ref 23 ref 4663 ref 8809 ref appTerm 8864 def 8825 ref appTerm 8865 def 8742 ref appTerm 8866 def appTerm 8867 def 56 ref 8759 remove appTerm 24 ref 26 ref 8809 ref appTerm 8868 def 29 ref appTerm appTerm 8869 def 26 ref 8825 ref appTerm 8870 def 29 ref appTerm appTerm 8871 def appTerm appTerm absTerm 8872 def 7727 ref appTerm 8873 def betaConv 718 ref 19 ref 20 ref 23 ref 8865 remove 719 ref appTerm appTerm 720 ref 8871 remove appTerm appTerm absTerm appTerm absTerm 8874 def 8742 ref appTerm 8875 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 8864 remove 678 ref appTerm 719 ref appTerm appTerm 720 ref 8869 remove 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8876 def 8825 ref appTerm 8877 def betaConv 6671 ref 8809 ref appTerm 8878 def betaConv 6674 ref nil 6675 ref 347 ref 8878 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 6676 ref 404 ref 8809 ref nil cons 8879 def cons nil cons 8880 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 8876 ref appTerm nil cons cons 347 ref 8877 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8876 remove nil cons cons 404 ref 8825 ref nil cons 8881 def cons nil cons 8882 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 8874 ref appTerm nil cons cons 347 ref 8875 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8874 remove nil cons cons 8767 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8872 ref appTerm nil cons cons 347 ref 8873 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8872 remove nil cons cons 8771 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8867 remove 56 ref 8773 ref appTerm 24 ref 8868 ref 7727 ref appTerm appTerm 8870 ref 7727 ref appTerm appTerm appTerm 8883 def appTerm 8884 def nil cons cons 8814 remove cons nil cons cons 403 ref subst proveHyp 415 ref 101 ref 1477 ref 101 ref 5396 ref 99 ref 1158 ref 24 ref 8839 remove 5397 ref appTerm appTerm 8885 def 24 ref 1162 ref 8809 ref appTerm appTerm 24 ref 1479 ref 8825 ref appTerm 8886 def appTerm 7479 remove 8742 ref appTerm 8887 def appTerm 8888 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8889 def 4646 ref appTerm betaConv sym 1477 ref 101 ref 5396 ref 99 ref 1158 ref 24 ref 8858 remove 1478 ref appTerm 5397 ref appTerm appTerm 24 ref 167 ref 4646 ref appTerm 8890 def 1161 ref appTerm 8891 def 8809 ref appTerm appTerm 8892 def 8888 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8893 def 188 ref appTerm betaConv sym 5396 ref 99 ref 1158 ref 24 ref 8859 remove 5397 ref appTerm appTerm 8892 ref 24 ref 167 ref 188 ref appTerm 8894 def 1161 ref appTerm 8895 def 8825 ref appTerm appTerm 8896 def 8887 remove appTerm appTerm appTerm absTerm appTerm absTerm 8897 def 202 ref appTerm betaConv sym 1158 ref 24 ref 8860 ref appTerm 8892 remove 8896 remove 167 ref 202 ref appTerm 8898 def 1161 ref appTerm 8899 def 8742 ref appTerm appTerm appTerm appTerm absTerm 8900 def 5258 ref appTerm betaConv sym 1017 ref nil 77 ref 8863 remove cons nil cons nil cons cons 82 ref subst 8860 remove assume eqMp appThm 24 ref 8890 remove 5258 ref appTerm 8901 def 8809 ref appTerm 8902 def appTerm 24 ref 8894 ref 5258 ref appTerm 8903 def 8825 ref appTerm 8904 def appTerm 8898 ref 5258 ref appTerm 8905 def 8742 ref appTerm 8906 def appTerm 8907 def appTerm 8908 def refl appThm nil 77 ref 8908 remove nil cons cons nil cons nil cons cons 1026 ref subst trans sym 1054 ref 7922 ref 56 ref 8901 remove 1057 ref appTerm appTerm 24 ref 8821 remove 7750 ref appTerm appTerm 8909 def 4640 ref 1467 ref 5258 ref appTerm 8910 def appTerm 8911 def 1057 ref appTerm appTerm appTerm appTerm absTerm 8912 def 8809 ref appTerm 8913 def betaConv 1158 ref 14 ref 1054 ref 7922 ref 56 ref 8891 remove 1057 ref appTerm appTerm 24 ref 1406 ref 7750 ref appTerm appTerm 8914 def 4640 ref 1468 ref appTerm 1057 ref appTerm 8915 def appTerm 8916 def appTerm appTerm absTerm appTerm absTerm 8917 def 5258 ref appTerm 8918 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 7916 remove 1478 ref appTerm appTerm 8919 def 1480 ref 8916 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8920 def 4646 ref appTerm 8921 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 4645 ref 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 8915 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8922 def 7750 ref appTerm 8923 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 4644 ref 1487 ref appTerm 1447 ref appTerm 8924 def 1478 ref appTerm appTerm 1480 ref 1483 ref 4640 ref 1493 ref appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8925 def 135 ref appTerm 8926 def betaConv 1497 ref 139 ref appTerm 8927 def betaConv 1500 ref nil 1501 ref 347 ref 8927 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 ref 6814 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8925 ref appTerm nil cons cons 347 ref 8926 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8925 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8922 ref appTerm nil cons cons 347 ref 8923 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8922 remove nil cons cons 700 ref 7788 remove cons nil cons 8928 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 8920 ref appTerm nil cons cons 347 ref 8921 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8920 remove nil cons cons 6605 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8917 ref appTerm nil cons cons 347 ref 8918 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8917 remove nil cons cons 8195 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 8912 ref appTerm nil cons cons 347 ref 8913 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8912 remove nil cons cons 8880 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7922 ref 56 ref 8902 ref appTerm 8909 ref 8911 remove 8809 ref appTerm 8929 def appTerm appTerm 8930 def appTerm 8931 def nil cons cons 347 ref 8902 ref nil cons 8932 def cons nil cons 8933 def cons nil cons cons 403 ref subst proveHyp nil 7919 ref 347 ref 23 ref 8930 ref appTerm 8902 ref appTerm 8934 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 8930 ref nil cons 8935 def cons 8933 remove cons nil cons cons 8936 def 362 ref subst 8936 remove 412 ref subst 8930 remove assume sym 1017 ref 7790 remove 6002 ref subst 8604 remove trans appThm 8937 def 8929 ref refl appThm nil 77 ref 8929 remove nil cons cons nil cons nil cons cons 1026 ref subst trans sym 4640 ref refl 7343 ref 5258 ref refl 8938 def appThm nil 7701 ref 7345 ref cons nil cons cons 8939 def 2604 ref subst 1939 ref nil 7701 ref nil cons 8940 def nil cons cons 8941 def 1715 ref subst 8942 def appThm 8943 def trans trans 8944 def appThm 8809 ref refl appThm nil 77 ref 8819 ref cons nil cons nil cons cons 82 ref subst 8810 remove assume eqMp 8945 def trans sym 81 ref eqMp eqMp eqMp eqMp nil 379 ref 8935 ref cons 381 ref 8932 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 7917 remove appTerm 8946 def 8934 remove appTerm nil cons cons 347 ref 23 ref 8931 remove appTerm 8902 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8932 ref cons 347 ref 8935 remove cons 7919 ref nil cons 8947 def cons cons nil cons cons 3428 ref subst eqMp eqMp nil 346 ref 8932 remove cons 347 ref 8907 remove nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 1054 ref 7900 ref 56 ref 8903 remove 1057 ref appTerm appTerm 8909 ref 180 ref 1692 ref 5258 ref appTerm 8948 def appTerm 8949 def 1057 ref appTerm appTerm appTerm appTerm absTerm 8950 def 8825 ref appTerm 8951 def betaConv 1158 ref 14 ref 1054 ref 7900 ref 56 ref 8895 ref 1057 ref appTerm appTerm 8952 def 8914 ref 180 ref 1693 ref appTerm 1057 ref appTerm 8953 def appTerm 8954 def appTerm appTerm absTerm appTerm absTerm 8955 def 5258 ref appTerm 8956 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 7892 remove 1478 ref appTerm appTerm 8957 def 1480 ref 8954 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8958 def 188 ref appTerm 8959 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 186 ref 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 8953 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8960 def 7750 ref appTerm 8961 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 185 ref 1487 ref appTerm 1447 ref appTerm 8962 def 1478 ref appTerm appTerm 1480 ref 1483 ref 180 ref 1493 ref appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8963 def 134 ref appTerm 8964 def betaConv 1497 ref 143 ref appTerm 8965 def betaConv 1500 ref nil 1501 ref 347 ref 8965 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 ref 6134 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8963 ref appTerm nil cons cons 347 ref 8964 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8963 remove nil cons cons 1353 ref cons nil cons cons 414 ref subst eqMp eqMp 8966 def nil 346 ref 19 ref 8960 ref appTerm nil cons cons 8967 def 347 ref 8961 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8960 ref nil cons cons 8968 def 8928 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 8958 ref appTerm nil cons cons 347 ref 8959 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8958 remove nil cons cons 6607 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8955 ref appTerm nil cons cons 347 ref 8956 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8955 remove nil cons cons 8195 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 8950 ref appTerm nil cons cons 347 ref 8951 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8950 remove nil cons cons 8882 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7900 ref 56 ref 8904 ref appTerm 8909 ref 8949 remove 8825 ref appTerm 8969 def appTerm appTerm 8970 def appTerm 8971 def nil cons cons 347 ref 8904 ref nil cons 8972 def cons nil cons 8973 def cons nil cons cons 403 ref subst proveHyp nil 7896 ref 347 ref 23 ref 8970 ref appTerm 8904 ref appTerm 8974 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 8970 ref nil cons 8975 def cons 8973 remove cons nil cons cons 8976 def 362 ref subst 8976 remove 412 ref subst 8970 remove assume sym 8937 ref 8969 ref refl appThm nil 77 ref 8969 remove nil cons cons nil cons nil cons cons 1026 ref subst trans sym 6886 ref 8942 remove appThm 8825 ref refl appThm nil 77 ref 8834 ref cons nil cons nil cons cons 82 ref subst 8826 remove assume eqMp 8977 def trans sym 81 ref eqMp eqMp eqMp eqMp nil 379 ref 8975 ref cons 381 ref 8972 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 7893 remove appTerm 8978 def 8974 remove appTerm nil cons cons 347 ref 23 ref 8971 remove appTerm 8904 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8972 ref cons 347 ref 8975 remove cons 7896 ref nil cons 8979 def cons cons nil cons cons 3428 ref subst eqMp eqMp nil 346 ref 8972 remove cons 347 ref 8906 ref nil cons 8980 def cons nil cons 8981 def cons nil cons cons 412 ref subst proveHyp 1054 ref 7879 ref 56 ref 8905 remove 1057 ref appTerm appTerm 8909 ref 195 ref 8910 ref appTerm 8982 def 1057 ref appTerm appTerm appTerm appTerm absTerm 8983 def 8742 ref appTerm 8984 def betaConv 1158 ref 14 ref 1054 ref 7879 ref 56 ref 8899 ref 1057 ref appTerm appTerm 8985 def 8914 remove 195 ref 1468 ref appTerm 1057 ref appTerm 8986 def appTerm 8987 def appTerm appTerm absTerm appTerm absTerm 8988 def 5258 ref appTerm 8989 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 7874 remove 1478 ref appTerm appTerm 8990 def 1480 ref 8987 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8991 def 202 ref appTerm 8992 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 200 ref 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 8986 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8993 def 7750 ref appTerm 8994 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 199 ref 1487 ref appTerm 1447 ref appTerm 8995 def 1478 ref appTerm appTerm 1480 ref 1483 ref 195 ref 1493 ref appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8996 def 135 ref appTerm 8997 def betaConv 1497 ref 152 ref appTerm 8998 def betaConv 1500 ref nil 1501 ref 347 ref 8998 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 ref 5469 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8996 ref appTerm nil cons cons 347 ref 8997 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8996 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp 8999 def nil 346 ref 19 ref 8993 ref appTerm nil cons cons 9000 def 347 ref 8994 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8993 ref nil cons cons 9001 def 8928 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 8991 ref appTerm nil cons cons 347 ref 8992 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8991 remove nil cons cons 6609 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 8988 ref appTerm nil cons cons 347 ref 8989 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 8988 remove nil cons cons 8195 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 8983 ref appTerm nil cons cons 347 ref 8984 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8983 remove nil cons cons 8767 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7879 ref 56 ref 8906 ref appTerm 8909 remove 8982 remove 8742 ref appTerm 9002 def appTerm appTerm 9003 def appTerm 9004 def nil cons cons 8981 ref cons nil cons cons 403 ref subst proveHyp nil 7877 ref 347 ref 23 ref 9003 ref appTerm 8906 ref appTerm 9005 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 9003 ref nil cons 9006 def cons 8981 remove cons nil cons cons 9007 def 362 ref subst 9007 remove 412 ref subst 9003 remove assume sym 8937 remove 9002 ref refl appThm nil 77 ref 9002 remove nil cons cons nil cons nil cons cons 1026 ref subst trans sym 195 ref refl 9008 def 8944 ref appThm 8742 remove refl appThm 8793 remove trans sym 81 ref eqMp eqMp eqMp eqMp nil 379 ref 9006 ref cons 381 ref 8980 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 7875 remove appTerm 9009 def 9005 remove appTerm nil cons cons 347 ref 23 ref 9004 remove appTerm 8906 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8980 remove cons 347 ref 9006 remove cons 7877 ref nil cons 9010 def cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp eqMp 93 ref 90 ref 8900 remove nil cons cons 8195 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 8897 remove nil cons cons 6609 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 8893 remove nil cons cons 6607 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 8889 ref nil cons cons 6605 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 8889 remove appTerm nil cons cons 347 ref 8866 ref nil cons 9011 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 7508 ref 8766 remove cons 1567 ref 8881 remove cons 9012 def 1160 ref 8879 ref cons nil cons cons cons nil cons cons 7508 ref 23 ref 101 ref 415 ref 101 ref 1477 ref 101 ref 5396 ref 99 ref 1158 ref 8885 remove 7515 ref appTerm 9013 def absTerm 9014 def appTerm 9015 def absTerm 9016 def appTerm 9017 def absTerm 9018 def appTerm 9019 def absTerm 9020 def appTerm 9021 def appTerm 9022 def 4663 ref 1163 ref appTerm 1569 ref appTerm 7512 ref appTerm 9023 def appTerm 9024 def absTerm 9025 def 7512 ref appTerm 9026 def betaConv 1567 ref 14 ref 9025 ref appTerm 9027 def absTerm 9028 def 1569 ref appTerm 9029 def betaConv 1160 ref 14 ref 9028 ref appTerm 9030 def absTerm 9031 def 1163 ref appTerm 9032 def betaConv nil 11 ref 415 ref 11 ref 1477 ref 11 ref 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 9013 ref appTerm 9023 ref appTerm absTerm 9033 def appTerm 9034 def absTerm 9035 def appTerm 9036 def absTerm 9037 def appTerm 9038 def absTerm 9039 def appTerm 9040 def absTerm 9041 def appTerm 9042 def absTerm 9043 def appTerm 9044 def absTerm 9045 def appTerm 9046 def axiom 9047 def nil 346 ref 9046 ref nil cons 9048 def cons 9049 def 347 ref 14 ref 9031 ref appTerm nil cons 9050 def cons nil cons cons nil cons cons 9051 def 403 ref subst proveHyp 9051 ref 362 ref subst 9051 remove 412 ref subst nil 5 ref 9031 remove nil cons cons 9052 def nil cons nil cons cons 76 ref subst 1160 ref nil 77 ref 9030 remove nil cons 9053 def cons nil cons nil cons cons 82 ref subst nil 5 ref 9028 remove nil cons cons 9054 def nil cons nil cons cons 76 ref subst 1567 ref nil 77 ref 9027 remove nil cons 9055 def cons nil cons nil cons cons 82 ref subst nil 5 ref 9025 remove nil cons cons 9056 def nil cons nil cons cons 76 ref subst 7508 ref nil 77 ref 9024 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9021 remove nil cons 9057 def cons 9058 def 347 ref 9023 ref nil cons 9059 def cons nil cons 9060 def cons nil cons cons 9061 def 362 ref subst 9061 remove 412 ref subst nil 9049 ref 9060 ref cons nil cons cons 9062 def 403 ref subst nil 9058 remove 347 ref 23 ref 9046 remove appTerm 9023 ref appTerm 9063 def nil cons 9064 def cons nil cons 9065 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 9020 ref 857 ref appTerm 9066 def appTerm 9063 ref appTerm 9067 def absTerm 9068 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 9067 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9066 ref nil cons 9069 def cons 9065 ref cons nil cons cons 9070 def 362 ref subst 9070 remove 412 ref subst 9066 ref betaConv 9066 remove assume eqMp nil 346 ref 9019 ref nil cons cons 9065 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1477 ref 23 ref 9018 ref 1478 ref appTerm 9071 def appTerm 9063 ref appTerm 9072 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 9072 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9071 ref nil cons 9073 def cons 9065 ref cons nil cons cons 9074 def 362 ref subst 9074 remove 412 ref subst 9071 ref betaConv 9071 remove assume eqMp nil 346 ref 9017 ref nil cons cons 9065 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 5396 ref 23 ref 9016 ref 5397 ref appTerm 9075 def appTerm 9063 ref appTerm 9076 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 5396 ref nil 77 ref 9076 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9075 ref nil cons 9077 def cons 9065 ref cons nil cons cons 9078 def 362 ref subst 9078 remove 412 ref subst 9075 ref betaConv 9075 remove assume eqMp nil 346 ref 9015 ref nil cons cons 9065 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1158 ref 23 ref 9014 ref 1161 ref appTerm 9079 def appTerm 9063 ref appTerm 9080 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 9080 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9079 ref nil cons 9081 def cons 9065 ref cons nil cons cons 9082 def 362 ref subst 9082 remove 412 ref subst 9079 ref betaConv 9079 remove assume eqMp nil 346 ref 9013 remove nil cons 9083 def cons 9084 def 9065 remove cons nil cons cons 9085 def 403 ref subst proveHyp 9085 ref 362 ref subst 9085 remove 412 ref subst 9062 ref 362 ref subst 9062 remove 412 ref subst nil 9084 remove 9060 remove cons nil cons cons 403 ref subst 9033 ref 7512 ref appTerm 9086 def betaConv 9035 ref 1569 ref appTerm 9087 def betaConv 9037 ref 1163 ref appTerm 9088 def betaConv 9039 ref 1161 ref appTerm 9089 def betaConv 9041 ref 5397 ref appTerm 9090 def betaConv 9043 ref 1478 ref appTerm 9091 def betaConv 9045 ref 857 ref appTerm 9092 def betaConv nil 9049 ref 347 ref 9092 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 83 ref 9045 ref nil cons cons 9093 def 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9044 remove nil cons cons 347 ref 9091 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9043 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9042 remove nil cons cons 347 ref 9090 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9041 remove nil cons cons 6449 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9040 remove nil cons cons 347 ref 9089 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9039 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9038 remove nil cons cons 347 ref 9088 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 9037 remove nil cons cons 1355 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9036 remove nil cons cons 347 ref 9087 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 9035 remove nil cons cons 1783 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9034 remove nil cons cons 347 ref 9086 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 9033 remove nil cons cons 7606 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 9048 remove cons 9094 def 381 ref 9059 remove cons nil cons 9095 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 9083 remove cons 381 ref 9064 remove cons nil cons 9096 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9081 remove cons 9096 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 9014 ref 963 ref appTerm appTerm 9063 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9015 remove appTerm 9063 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9014 remove nil cons cons 9096 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9077 remove cons 9096 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 9016 ref 1788 ref appTerm appTerm 9063 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9017 remove appTerm 9063 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9016 remove nil cons cons 9096 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9073 remove cons 9096 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 9018 ref 1788 ref appTerm appTerm 9063 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9019 remove appTerm 9063 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9018 remove nil cons cons 9096 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9069 remove cons 9096 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 9068 remove appTerm nil cons cons 347 ref 9022 remove 9063 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9020 remove nil cons cons 9096 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 9057 remove cons 9095 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 9094 remove 381 ref 9050 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 9050 remove cons 347 ref 9032 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 9052 remove 1355 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9053 remove cons 347 ref 9029 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 9054 remove 1783 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9055 remove cons 347 ref 9026 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 9056 remove 7606 remove cons nil cons cons 414 ref subst eqMp eqMp subst eqMp nil 346 ref 9011 remove cons 9097 def 347 ref 23 ref 8883 ref appTerm 9098 def 8805 ref appTerm 9099 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 9098 remove refl 8804 remove 6092 ref appThm appThm sym nil 346 ref 8883 ref nil cons 9100 def cons 347 ref 8773 remove nil cons 9101 def cons nil cons cons nil cons cons 9102 def 362 ref subst 9102 remove 412 ref subst 8883 remove assume sym 1017 ref 8868 ref refl 6096 ref appThm appThm 8870 ref refl 6096 ref appThm appThm sym 20 ref 23 ref 270 ref 8509 ref appTerm 9103 def 8809 ref appTerm 9104 def appTerm 9105 def 56 ref 8868 ref 1791 ref appTerm appTerm 8671 remove 29 ref appTerm 9106 def appTerm appTerm absTerm 9107 def 1905 ref appTerm 9108 def betaConv 677 ref 19 ref 20 ref 23 ref 9103 remove 678 ref appTerm appTerm 1792 ref 9106 remove appTerm appTerm absTerm appTerm absTerm 9109 def 8809 ref appTerm 9110 def betaConv 1803 ref 8509 ref appTerm 9111 def betaConv 1805 ref nil 1807 ref 347 ref 9111 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 8587 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 9109 ref appTerm nil cons cons 347 ref 9110 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 9109 remove nil cons cons 8880 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9107 ref appTerm nil cons cons 347 ref 9108 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9107 remove nil cons cons 4861 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9105 remove 56 ref 8868 remove 6106 ref appTerm 9112 def appTerm 8672 ref appTerm 9113 def appTerm 9114 def nil cons cons 347 ref 24 ref 9112 ref appTerm 8870 ref 6106 ref appTerm 9115 def appTerm 9116 def nil cons 9117 def cons nil cons 9118 def cons nil cons cons 403 ref subst proveHyp 415 ref 101 ref 1477 ref 99 ref 1158 ref 1676 ref 24 ref 1162 ref 8509 ref appTerm appTerm 1479 remove 8809 ref appTerm 9119 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9120 def 157 ref appTerm betaConv sym 1477 ref 99 ref 1158 ref 7386 ref 24 ref 7387 ref 8509 remove appTerm appTerm 9121 def 9119 remove appTerm appTerm absTerm appTerm absTerm 9122 def 139 ref appTerm betaConv sym 1158 ref 266 ref 9121 remove 7390 ref 8809 remove appTerm appTerm appTerm absTerm 9123 def 7698 ref appTerm betaConv sym 7392 ref 1017 ref 8607 remove appThm 8945 remove appThm 1030 ref trans appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 9123 remove nil cons cons 8163 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9122 remove nil cons cons 6814 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9120 ref nil cons cons 5421 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 9120 remove appTerm nil cons cons 347 ref 9104 ref nil cons 9124 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1567 ref 8879 remove cons 1160 ref 8563 remove cons nil cons cons nil cons cons 1789 ref subst eqMp nil 346 ref 9124 remove cons 9125 def 347 ref 23 ref 9113 ref appTerm 9116 ref appTerm 9126 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 9113 ref nil cons 9127 def cons 9118 remove cons nil cons cons 9128 def 362 ref subst 9128 remove 412 ref subst 56 ref "_33953" 2 ref var 9129 def 24 ref 9129 remove varTerm appTerm 9115 ref appTerm absTerm 9130 def 9112 remove appTerm 9131 def appTerm refl 9130 ref 8672 ref appTerm betaConv appThm 383 ref 9131 remove betaConv appThm 24 ref 8672 remove appTerm 9132 def 9115 ref appTerm 9133 def refl appThm trans 9130 remove refl 9113 remove assume appThm eqMp sym 20 ref 23 ref 270 ref 5281 ref appTerm 9134 def 8825 ref appTerm 9135 def appTerm 9136 def 56 ref 8870 remove 1791 ref appTerm appTerm 5377 ref appTerm appTerm absTerm 9137 def 1905 ref appTerm 9138 def betaConv 677 ref 19 ref 20 ref 23 ref 9134 remove 678 ref appTerm appTerm 1792 ref 5377 remove appTerm appTerm absTerm appTerm absTerm 9139 def 8825 ref appTerm 9140 def betaConv 1803 ref 5281 ref appTerm 9141 def betaConv 1805 ref nil 1807 ref 347 ref 9141 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 8283 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 9139 ref appTerm nil cons cons 347 ref 9140 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 9139 remove nil cons cons 8882 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9137 ref appTerm nil cons cons 347 ref 9138 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9137 remove nil cons cons 4861 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9136 remove 56 ref 9115 ref appTerm 5293 ref appTerm 9142 def appTerm 9143 def nil cons cons 347 ref 9133 ref nil cons 9144 def cons nil cons 9145 def cons nil cons cons 403 ref subst proveHyp 415 ref 101 ref 1477 ref 99 ref 1158 ref 1676 ref 24 ref 1162 ref 5281 ref appTerm 9146 def appTerm 8886 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9147 def 161 ref appTerm betaConv sym 1477 ref 99 ref 1158 ref 6123 ref 24 ref 5981 ref 5281 ref appTerm 9148 def appTerm 9149 def 8886 remove appTerm appTerm absTerm appTerm absTerm 9150 def 143 ref appTerm betaConv sym 1158 ref 269 ref 9149 remove 6126 ref 8825 remove appTerm appTerm appTerm absTerm 9151 def 5258 ref appTerm betaConv sym 6128 ref 1017 ref 8303 ref appThm 8977 remove appThm 1030 ref trans appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 9151 remove nil cons cons 8195 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9150 remove nil cons cons 6134 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9147 ref nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 9147 remove appTerm nil cons cons 347 ref 9135 ref nil cons 9152 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 9012 remove 1160 ref 8257 ref cons nil cons cons nil cons cons 1789 remove subst eqMp nil 346 ref 9152 remove cons 9153 def 347 ref 23 ref 9142 ref appTerm 9133 ref appTerm 9154 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 9142 ref nil cons 9155 def cons 9145 remove cons nil cons cons 9156 def 362 ref subst 9156 remove 412 ref subst 56 ref "_33955" 2 ref var 9157 def 9132 ref 9157 remove varTerm appTerm absTerm 9158 def 9115 remove appTerm 9159 def appTerm refl 9158 ref 5293 ref appTerm betaConv appThm 383 ref 9159 remove betaConv appThm 9132 remove 5293 remove appTerm refl appThm trans 9158 remove refl 9142 remove assume appThm eqMp sym 1017 ref 8707 remove appThm 8372 ref appThm 1030 ref trans sym 81 ref eqMp eqMp eqMp nil 379 ref 9155 ref cons 381 ref 9144 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 9135 remove appTerm 9154 remove appTerm nil cons cons 347 ref 23 ref 9143 remove appTerm 9133 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9144 remove cons 347 ref 9155 remove cons 9153 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp nil 379 ref 9127 ref cons 381 ref 9117 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 9104 remove appTerm 9126 remove appTerm nil cons cons 347 ref 23 ref 9114 remove appTerm 9116 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9117 remove cons 347 ref 9127 remove cons 9125 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp nil 379 ref 9100 ref cons 381 ref 9101 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 346 ref 24 ref 8866 remove appTerm 9099 remove appTerm nil cons cons 347 ref 23 ref 8884 remove appTerm 8805 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8806 ref cons 347 ref 9100 remove cons 9097 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 8861 remove cons 381 ref 8806 remove cons nil cons 9160 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 8834 remove cons 9160 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 8832 remove cons 9160 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 8827 ref 684 ref appTerm appTerm 8805 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 8828 remove appTerm 8805 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8827 remove nil cons cons 9160 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 8819 remove cons 9160 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 8817 remove cons 9160 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 8811 ref 684 ref appTerm appTerm 8805 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 8812 remove appTerm 8805 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8811 remove nil cons cons 9160 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 379 ref 8798 ref cons 381 ref 8747 ref cons nil cons 9161 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 8756 remove appTerm 8797 remove appTerm nil cons cons 347 ref 23 ref 8775 remove appTerm 8666 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8747 ref cons 347 ref 8798 remove cons 8796 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp nil 379 ref 8753 remove cons 9161 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 8751 remove cons 9161 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 8744 ref 684 ref appTerm appTerm 8666 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 8745 remove appTerm 8666 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8744 remove nil cons cons 9161 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp 8739 remove refl nil 77 ref 8747 remove cons nil cons nil cons cons 82 ref subst 8666 ref assume eqMp 9162 def appThm nil 77 ref 8738 ref nil cons 9163 def cons nil cons nil cons cons 1690 ref subst trans sym 8525 ref 8169 ref appThm 8170 ref trans sym 81 ref eqMp nil 346 ref 8526 ref 162 ref appTerm nil cons cons 347 ref 101 ref "crd1" 8 ref var 9164 def 210 ref 8011 ref appTerm 9165 def 1058 ref appTerm 9164 ref varTerm 9166 def appTerm 9167 def absTerm 9168 def appTerm 9169 def nil cons 9170 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2073 ref 8534 ref 5471 ref cons cons nil cons cons 7183 ref subst eqMp nil 346 ref 9170 remove cons 347 ref 9163 ref cons nil cons 9171 def cons nil cons cons 403 ref subst nil 83 ref 9164 ref 23 ref 9168 ref 9166 ref appTerm 9172 def appTerm 8738 ref appTerm 9173 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 9164 remove nil 77 ref 9173 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9172 ref nil cons 9174 def cons 9171 ref cons nil cons cons 9175 def 362 ref subst 9175 remove 412 ref subst 9172 ref betaConv 9172 remove assume eqMp nil 346 ref 9167 ref nil cons 9176 def cons 9171 remove cons nil cons cons 9177 def 403 ref subst proveHyp 9177 ref 362 ref subst 9177 remove 412 ref subst nil 8337 ref 1477 ref 4277 ref 4278 ref 8643 ref appTerm 9178 def appTerm 9166 ref appTerm 9179 def nil cons 9180 def cons nil cons cons nil cons cons 6366 ref subst sym 415 ref 99 ref 1486 ref 8547 remove 8175 ref appTerm absTerm appTerm absTerm 9181 def 161 ref appTerm betaConv sym 1486 ref 8157 ref 8546 ref appTerm 8175 ref appTerm absTerm 9182 def 7698 ref appTerm betaConv sym 7714 ref refl 9183 def 8552 remove appThm 8260 ref appThm 8346 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 9182 remove nil cons cons 8163 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9181 ref nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 9181 remove appTerm nil cons cons 347 ref 122 ref 123 ref 8175 ref appTerm 9184 def appTerm 9185 def 8546 ref appTerm 9186 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 8555 remove 1477 ref 8336 remove cons nil cons 9187 def cons nil cons cons 8250 ref subst eqMp 56 ref "_33957" 16 ref var 9188 def 174 ref 8175 ref appTerm 9189 def 134 ref appTerm 9190 def 9188 remove varTerm appTerm 9179 ref appTerm absTerm 9191 def 9184 ref appTerm 9192 def appTerm refl 9191 ref 8546 ref appTerm betaConv appThm 383 ref 9192 remove betaConv appThm 9190 ref 8546 remove appTerm 9179 ref appTerm 9193 def refl appThm trans 9191 remove refl 9186 remove assume appThm eqMp sym 1017 ref nil 1054 ref 8768 remove cons 9194 def 6377 ref 8338 ref cons cons nil cons cons 6389 ref subst appThm 9189 ref refl 6391 remove appThm 3094 ref appThm 9166 ref refl 9195 def appThm appThm sym 1054 ref 8416 ref 56 ref 8410 ref 134 ref appTerm 9196 def 1057 ref appTerm appTerm 8569 ref 205 ref 8570 ref appTerm 9197 def 1057 ref appTerm appTerm appTerm appTerm absTerm 9198 def 8643 ref appTerm 9199 def betaConv 8426 remove 134 ref appTerm 9200 def betaConv 8434 remove nil 8435 remove 347 ref 9200 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 8436 remove 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 9198 ref appTerm nil cons cons 347 ref 9199 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 9198 remove nil cons cons 8769 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8416 ref 56 ref 9196 remove 8643 ref appTerm 9201 def appTerm 8569 remove 9197 remove 8643 ref appTerm appTerm 9202 def appTerm 9203 def appTerm 9204 def nil cons cons 347 ref 24 ref 9201 ref appTerm 9189 ref 135 ref appTerm 9205 def 1058 ref appTerm 9206 def 9166 ref appTerm 9207 def appTerm 9208 def nil cons 9209 def cons nil cons 9210 def cons nil cons cons 403 ref subst proveHyp nil 8182 ref 347 ref 23 ref 9203 ref appTerm 9208 ref appTerm 9211 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 9203 ref nil cons 9212 def cons 9210 remove cons nil cons cons 9213 def 362 ref subst 9213 remove 412 ref subst 56 ref "_33959" 2 ref var 9214 def 24 ref 9214 remove varTerm appTerm 9207 ref appTerm absTerm 9215 def 9201 remove appTerm 9216 def appTerm refl 9215 ref 9202 ref appTerm betaConv appThm 383 ref 9216 remove betaConv appThm 24 ref 9202 remove appTerm 9207 ref appTerm refl appThm trans 9215 remove refl 9203 remove assume appThm eqMp sym 1017 ref 8605 remove 8301 ref 8606 ref appThm 8643 remove refl appThm 8664 remove trans appThm 1030 ref trans appThm 9207 ref refl appThm nil 77 ref 9207 ref nil cons 9217 def cons nil cons nil cons cons 1026 ref subst trans sym 5396 ref 8416 ref 56 ref 9206 remove 5397 ref appTerm appTerm 8609 ref 210 ref 7708 remove appTerm 9218 def 1058 ref appTerm 9219 def 5397 ref appTerm appTerm appTerm appTerm absTerm 9220 def 9166 ref appTerm 9221 def betaConv 1442 ref 11 ref 5396 ref 8416 ref 56 ref 9205 remove 1447 ref appTerm 5397 ref appTerm appTerm 8612 remove 9218 remove 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 9222 def 1058 ref appTerm 9223 def betaConv 1486 ref 19 ref 1442 ref 11 ref 5396 ref 8416 ref 56 ref 9189 ref 1487 ref appTerm 1447 ref appTerm 5397 ref appTerm appTerm 8615 remove 210 ref 8616 remove appTerm 1447 ref appTerm 5397 ref appTerm 9224 def appTerm 9225 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9226 def 135 ref appTerm 9227 def betaConv 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 8428 remove 8318 ref 9225 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9228 def 8175 ref appTerm 9229 def betaConv 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 7714 ref 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 9224 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9230 def 2494 ref appTerm 9231 def betaConv 8325 remove 7698 ref appTerm 9232 def betaConv 8333 remove nil 8334 remove 347 ref 9232 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 8335 remove 8163 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9230 ref appTerm nil cons cons 347 ref 9231 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9230 remove nil cons cons 3403 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9228 ref appTerm nil cons cons 347 ref 9229 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9228 remove nil cons cons 8338 ref cons nil cons cons 414 ref subst eqMp eqMp 9233 def nil 346 ref 19 ref 9226 ref appTerm nil cons cons 9234 def 347 ref 9227 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9226 ref nil cons cons 9235 def 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9222 ref appTerm nil cons cons 347 ref 9223 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9222 remove nil cons cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9220 ref appTerm nil cons cons 347 ref 9221 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9220 remove nil cons cons 415 ref 9166 ref nil cons 9236 def cons 9237 def nil cons 9238 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8416 ref 56 ref 9207 ref appTerm 8609 remove 9219 remove 9166 ref appTerm appTerm appTerm 9239 def appTerm 9240 def nil cons cons 347 ref 9217 ref cons nil cons 9241 def cons nil cons cons 403 ref subst proveHyp nil 8182 ref 347 ref 23 ref 9239 ref appTerm 9207 ref appTerm 9242 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 9239 ref nil cons 9243 def cons 9241 remove cons nil cons cons 9244 def 362 ref subst 9244 remove 412 ref subst 9239 remove assume sym 8637 remove 8345 ref 8000 remove appThm 3094 ref appThm 9195 remove appThm nil 77 ref 9176 ref cons nil cons nil cons cons 82 ref subst 9167 remove assume eqMp 9245 def trans appThm 1030 ref trans sym 81 ref eqMp eqMp eqMp nil 379 ref 9243 ref cons 381 ref 9217 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 8454 ref 9242 remove appTerm nil cons cons 347 ref 23 ref 9240 remove appTerm 9207 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9217 remove cons 347 ref 9243 remove cons 8456 ref cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp nil 379 ref 9212 ref cons 381 ref 9209 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 8454 ref 9211 remove appTerm nil cons cons 347 ref 23 ref 9204 remove appTerm 9208 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9209 remove cons 347 ref 9212 remove cons 8456 ref cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp nil 346 ref 24 ref 9190 ref 135 ref appTerm 9178 ref appTerm appTerm 9189 ref 6395 remove appTerm 1058 ref appTerm 9166 ref appTerm appTerm nil cons cons 347 ref 9193 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5396 ref 9236 ref cons 1477 ref 9178 remove nil cons cons 2073 ref 3642 remove 6397 ref 8338 ref cons 9246 def cons cons cons cons nil cons cons 6450 ref subst eqMp eqMp proveHyp eqMp nil 346 ref 4287 ref 9179 ref appTerm 8175 ref appTerm nil cons cons 347 ref 4287 ref 8175 ref appTerm 9247 def 9179 remove appTerm 9248 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 415 ref 9180 remove cons 9187 ref cons nil cons cons 8350 ref subst eqMp 1519 ref 8658 ref refl 9249 def 5361 ref 8369 ref 9248 remove assume appThm 7727 ref refl appThm appThm appThm appThm 8719 remove refl 9250 def appThm sym 1519 ref 9249 ref 5361 ref nil 20 ref 8770 remove cons 9237 remove 9194 remove nil cons cons cons nil cons cons 6487 remove subst 8371 remove 9162 remove appThm 1889 ref 9166 ref appTerm 9251 def 7727 ref appTerm 9252 def refl appThm trans appThm nil 6488 remove 9252 ref nil cons cons 7338 ref cons nil cons cons 6506 remove subst nil 20 ref 1886 ref 9252 ref appTerm 9253 def nil cons cons 7338 remove cons nil cons cons 6520 remove subst 7339 remove 5241 ref 9253 remove appTerm 9254 def refl 9255 def appThm trans trans trans appThm appThm 9250 remove appThm sym 1519 ref 9249 remove 7343 ref 9255 remove appThm nil 1442 ref 9254 ref nil cons cons 9256 def 7345 ref cons nil cons cons 2604 ref subst 1939 ref nil 9256 ref nil cons nil cons cons 1715 ref subst appThm trans trans appThm nil 9256 remove 1308 ref 8657 remove nil cons cons nil cons cons nil cons cons 1669 ref subst trans appThm 7343 ref 8717 ref refl 9257 def appThm nil 1442 ref 8718 remove cons 9258 def 7345 ref cons nil cons cons 2604 ref subst 1939 ref nil 9258 ref nil cons nil cons cons 1715 ref subst appThm trans trans appThm nil 9258 remove 1308 ref 8658 remove 9254 ref appTerm 9259 def nil cons cons nil cons cons nil cons cons 3342 ref subst trans sym 8525 ref 7979 remove assume 7962 ref trans 7961 ref trans appThm 8170 ref trans sym 81 ref eqMp nil 346 ref 8526 ref 149 ref appTerm nil cons cons 347 ref 101 ref "sqd" 8 ref var 9260 def 4653 ref 8011 ref appTerm 9261 def 1058 ref appTerm 9260 ref varTerm 9262 def appTerm 9263 def absTerm 9264 def appTerm 9265 def nil cons 9266 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2073 ref 8534 ref 5419 ref cons cons nil cons cons 7183 ref subst eqMp nil 346 ref 9266 remove cons 347 ref 122 ref 9259 remove appTerm 8717 ref appTerm 9267 def nil cons 9268 def cons nil cons 9269 def cons nil cons cons 403 ref subst nil 83 ref 9260 ref 23 ref 9264 ref 9262 ref appTerm 9270 def appTerm 9267 ref appTerm 9271 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 9260 remove nil 77 ref 9271 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9270 ref nil cons 9272 def cons 9269 ref cons nil cons cons 9273 def 362 ref subst 9273 remove 412 ref subst 9270 ref betaConv 9270 remove assume eqMp nil 346 ref 9263 ref nil cons 9274 def cons 9269 ref cons nil cons cons 9275 def 403 ref subst proveHyp 9275 ref 362 ref subst 9275 remove 412 ref subst 8525 ref 7973 remove assume 7962 ref trans 7961 ref trans appThm 8170 ref trans sym 81 ref eqMp nil 346 ref 8526 ref 124 ref appTerm nil cons cons 347 ref 101 ref "nbd" 8 ref var 9276 def 175 ref 8011 ref appTerm 9277 def 1058 ref appTerm 9276 ref varTerm 9278 def appTerm 9279 def absTerm 9280 def appTerm 9281 def nil cons 9282 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2073 ref 8534 ref 416 ref cons cons nil cons cons 7183 ref subst eqMp nil 346 ref 9282 remove cons 9269 ref cons nil cons cons 403 ref subst nil 83 ref 9276 ref 23 ref 9280 ref 9278 ref appTerm 9283 def appTerm 9267 ref appTerm 9284 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 9276 remove nil 77 ref 9284 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9283 ref nil cons 9285 def cons 9269 ref cons nil cons cons 9286 def 362 ref subst 9286 remove 412 ref subst 9283 ref betaConv 9283 remove assume eqMp nil 346 ref 9279 ref nil cons 9287 def cons 9269 ref cons nil cons cons 9288 def 403 ref subst proveHyp 9288 ref 362 ref subst 9288 remove 412 ref subst 20 ref 23 ref 238 ref 9278 ref appTerm 9289 def 9262 ref appTerm 9290 def 8528 ref appTerm 9291 def appTerm 9292 def 4110 ref 8655 remove 29 ref appTerm 9293 def appTerm 5388 ref 1889 ref 9278 ref appTerm 9294 def 29 ref appTerm appTerm 9295 def 1889 ref 9262 ref appTerm 9296 def 29 ref appTerm 9297 def appTerm 9298 def appTerm appTerm absTerm 9299 def 7727 ref appTerm 9300 def betaConv 5396 ref 19 ref 20 ref 23 ref 9290 remove 5397 ref appTerm appTerm 5399 ref 9298 remove appTerm appTerm absTerm appTerm absTerm 9301 def 8528 ref appTerm 9302 def betaConv 1477 ref 11 ref 5396 ref 19 ref 20 ref 23 ref 9289 remove 1478 ref appTerm 5397 ref appTerm appTerm 5399 ref 9295 remove 5404 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9303 def 9262 ref appTerm 9304 def betaConv 5408 ref 9278 ref appTerm 9305 def betaConv 5415 ref nil 5416 ref 347 ref 9305 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 5417 ref 415 ref 9278 ref nil cons 9306 def cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9303 ref appTerm nil cons cons 347 ref 9304 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9303 remove nil cons cons 415 ref 9262 ref nil cons 9307 def cons nil cons 9308 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9301 ref appTerm nil cons cons 347 ref 9302 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9301 remove nil cons cons 8630 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9299 ref appTerm nil cons cons 347 ref 9300 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9299 remove nil cons cons 8771 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9292 remove 4110 ref 8656 ref appTerm 5387 remove 8772 remove appTerm 9309 def 9294 ref 7727 ref appTerm appTerm 9296 ref 7727 ref appTerm 9310 def appTerm 9311 def appTerm 9312 def appTerm 9313 def nil cons cons 9269 ref cons nil cons cons 403 ref subst proveHyp 415 ref 101 ref 1477 ref 101 ref 5396 ref 99 ref 1486 ref 99 ref 1442 ref 7477 ref 24 ref 1489 ref 9278 ref appTerm appTerm 24 ref 8317 ref 9262 ref appTerm appTerm 174 ref 5397 ref appTerm 1487 ref appTerm 1447 ref appTerm 9314 def 8528 ref appTerm 9315 def appTerm 9316 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9317 def 34 ref appTerm betaConv sym 1477 ref 101 ref 5396 ref 99 ref 1486 ref 99 ref 1442 ref 24 ref 5402 remove appTerm 24 ref 175 remove 1487 ref appTerm 1447 ref appTerm 9318 def 9278 ref appTerm appTerm 9319 def 9316 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9320 def 148 ref appTerm betaConv sym 5396 ref 99 ref 1486 ref 99 ref 1442 ref 24 ref 5398 remove appTerm 9319 ref 24 ref 4653 ref 1487 ref appTerm 1447 ref appTerm 9262 ref appTerm appTerm 9321 def 9315 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9322 def 157 ref appTerm betaConv sym 1486 ref 99 ref 1442 ref 4676 ref 9319 remove 9321 remove 8583 remove 8528 ref appTerm 9323 def appTerm appTerm appTerm absTerm appTerm absTerm 9324 def 8011 ref appTerm betaConv sym 1442 ref 4676 remove 24 ref 9277 remove 1447 ref appTerm 9278 remove appTerm appTerm 24 ref 9261 remove 1447 ref appTerm 9262 ref appTerm appTerm 8012 remove 1447 ref appTerm 8528 ref appTerm 9325 def appTerm appTerm appTerm absTerm 9326 def 1058 ref appTerm betaConv sym 1017 ref 5426 remove appThm 1017 ref nil 77 ref 9287 ref cons nil cons nil cons cons 82 ref subst 9279 remove assume eqMp appThm 1017 ref nil 77 ref 9274 ref cons nil cons nil cons cons 82 ref subst 9263 remove assume eqMp 9327 def appThm 8638 remove appThm 1030 ref trans appThm 1030 ref trans appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 9326 remove nil cons cons 1108 ref cons nil cons cons 1157 ref subst proveHyp eqMp 93 ref 90 ref 9324 remove nil cons cons 700 ref 8533 ref cons nil cons 9328 def cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9322 remove nil cons cons 5421 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9320 remove nil cons cons 5419 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9317 ref nil cons cons 416 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 9317 remove appTerm nil cons cons 347 ref 9291 ref nil cons 9329 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil "zs" 8 ref var 9330 def 8628 ref cons "ys" 8 ref var 9331 def 9307 ref cons "xs" 8 ref var 9332 def 9306 remove cons 7509 ref cons cons cons nil cons cons 9330 ref 23 ref 101 ref 415 ref 101 ref 1477 ref 101 ref 5396 ref 99 ref 1486 ref 99 ref 1442 ref 7511 remove 24 ref 1489 ref 9332 ref varTerm 9333 def appTerm appTerm 9334 def 24 ref 8317 ref 9331 ref varTerm 9335 def appTerm 9336 def appTerm 9337 def 9314 ref 9330 ref varTerm 9338 def appTerm appTerm appTerm appTerm 9339 def absTerm 9340 def appTerm 9341 def absTerm 9342 def appTerm 9343 def absTerm 9344 def appTerm 9345 def absTerm 9346 def appTerm 9347 def absTerm 9348 def appTerm 9349 def appTerm 9350 def 5410 ref 9333 ref appTerm 9335 ref appTerm 9338 ref appTerm 9351 def appTerm 9352 def absTerm 9353 def 9338 ref appTerm 9354 def betaConv 9331 ref 11 ref 9353 ref appTerm 9355 def absTerm 9356 def 9335 ref appTerm 9357 def betaConv 9332 ref 11 ref 9356 ref appTerm 9358 def absTerm 9359 def 9333 ref appTerm 9360 def betaConv 727 ref 11 ref 9359 ref appTerm 9361 def absTerm 9362 def 728 ref appTerm 9363 def betaConv nil 14 ref 727 ref 11 ref 415 ref 11 ref 1477 ref 11 ref 5396 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 9332 ref 11 ref 9331 ref 11 ref 9330 ref 23 ref 9339 ref appTerm 9351 ref appTerm absTerm 9364 def appTerm 9365 def absTerm 9366 def appTerm 9367 def absTerm 9368 def appTerm 9369 def absTerm 9370 def appTerm 9371 def absTerm 9372 def appTerm 9373 def absTerm 9374 def appTerm 9375 def absTerm 9376 def appTerm 9377 def absTerm 9378 def appTerm 9379 def absTerm 9380 def appTerm 9381 def axiom nil 346 ref 9381 ref nil cons 9382 def cons 9383 def 347 ref 14 ref 9362 ref appTerm nil cons 9384 def cons nil cons cons nil cons cons 9385 def 403 ref subst proveHyp 9385 ref 362 ref subst 9385 remove 412 ref subst nil 5 ref 9362 remove nil cons cons 9386 def nil cons nil cons cons 76 ref subst 727 ref nil 77 ref 9361 remove nil cons 9387 def cons nil cons nil cons cons 82 ref subst nil 83 ref 9359 remove nil cons cons 9388 def nil cons nil cons cons 87 ref subst 9332 ref nil 77 ref 9358 remove nil cons 9389 def cons nil cons nil cons cons 82 ref subst nil 83 ref 9356 remove nil cons cons 9390 def nil cons nil cons cons 87 ref subst 9331 ref nil 77 ref 9355 remove nil cons 9391 def cons nil cons nil cons cons 82 ref subst nil 83 ref 9353 remove nil cons cons 9392 def nil cons nil cons cons 87 ref subst 9330 ref nil 77 ref 9352 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9349 remove nil cons 9393 def cons 9394 def 347 ref 9351 ref nil cons 9395 def cons nil cons 9396 def cons nil cons cons 9397 def 362 ref subst 9397 remove 412 ref subst nil 9383 ref 9396 ref cons nil cons cons 9398 def 403 ref subst nil 9394 remove 347 ref 23 ref 9381 remove appTerm 9351 remove appTerm 9399 def nil cons 9400 def cons nil cons 9401 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 9348 ref 857 ref appTerm 9402 def appTerm 9399 ref appTerm 9403 def absTerm 9404 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 9403 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9402 ref nil cons 9405 def cons 9401 ref cons nil cons cons 9406 def 362 ref subst 9406 remove 412 ref subst 9402 ref betaConv 9402 remove assume eqMp nil 346 ref 9347 ref nil cons cons 9401 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1477 ref 23 ref 9346 ref 1478 ref appTerm 9407 def appTerm 9399 ref appTerm 9408 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 9408 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9407 ref nil cons 9409 def cons 9401 ref cons nil cons cons 9410 def 362 ref subst 9410 remove 412 ref subst 9407 ref betaConv 9407 remove assume eqMp nil 346 ref 9345 ref nil cons cons 9401 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 5396 ref 23 ref 9344 ref 5397 ref appTerm 9411 def appTerm 9399 ref appTerm 9412 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 5396 ref nil 77 ref 9412 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9411 ref nil cons 9413 def cons 9401 ref cons nil cons cons 9414 def 362 ref subst 9414 remove 412 ref subst 9411 ref betaConv 9411 remove assume eqMp nil 346 ref 9343 ref nil cons cons 9401 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1486 ref 23 ref 9342 ref 1487 ref appTerm 9415 def appTerm 9399 ref appTerm 9416 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 9416 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9415 ref nil cons 9417 def cons 9401 ref cons nil cons cons 9418 def 362 ref subst 9418 remove 412 ref subst 9415 ref betaConv 9415 remove assume eqMp nil 346 ref 9341 ref nil cons cons 9401 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1442 ref 23 ref 9340 ref 1447 ref appTerm 9419 def appTerm 9399 ref appTerm 9420 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 9420 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9419 ref nil cons 9421 def cons 9401 ref cons nil cons cons 9422 def 362 ref subst 9422 remove 412 ref subst 9419 ref betaConv 9419 remove assume eqMp nil 346 ref 9339 remove nil cons 9423 def cons 9424 def 9401 remove cons nil cons cons 9425 def 403 ref subst proveHyp 9425 ref 362 ref subst 9425 remove 412 ref subst 9398 ref 362 ref subst 9398 remove 412 ref subst nil 9424 remove 9396 remove cons nil cons cons 403 ref subst 9364 ref 9338 ref appTerm 9426 def betaConv 9366 ref 9335 ref appTerm 9427 def betaConv 9368 ref 9333 ref appTerm 9428 def betaConv 9370 ref 1447 ref appTerm 9429 def betaConv 9372 ref 1487 ref appTerm 9430 def betaConv 9374 ref 5397 ref appTerm 9431 def betaConv 9376 ref 1478 ref appTerm 9432 def betaConv 9378 ref 857 ref appTerm 9433 def betaConv 9380 ref 728 ref appTerm 9434 def betaConv nil 9383 remove 347 ref 9434 remove nil cons cons nil cons cons nil cons cons 403 ref subst 52 ref 5 ref 9380 remove nil cons cons 7605 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9379 remove nil cons cons 347 ref 9433 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9378 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9377 remove nil cons cons 347 ref 9432 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9376 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9375 remove nil cons cons 347 ref 9431 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9374 remove nil cons cons 6449 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9373 remove nil cons cons 347 ref 9430 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9372 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9371 remove nil cons cons 347 ref 9429 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9370 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9369 remove nil cons cons 347 ref 9428 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9368 remove nil cons cons 415 ref 9333 ref nil cons cons nil cons 9435 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9367 remove nil cons cons 347 ref 9427 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9366 remove nil cons cons 415 ref 9335 ref nil cons cons nil cons 9436 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9365 remove nil cons cons 347 ref 9426 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9364 remove nil cons cons 415 ref 9338 remove nil cons cons nil cons 9437 def cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 9382 remove cons 9438 def 381 ref 9395 remove cons nil cons 9439 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 9423 remove cons 381 ref 9400 remove cons nil cons 9440 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9421 remove cons 9440 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 9340 ref 963 ref appTerm appTerm 9399 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9341 remove appTerm 9399 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9340 remove nil cons cons 9440 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9417 remove cons 9440 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 9342 ref 963 ref appTerm appTerm 9399 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9343 remove appTerm 9399 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9342 remove nil cons cons 9440 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9413 remove cons 9440 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 9344 ref 1788 ref appTerm appTerm 9399 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9345 remove appTerm 9399 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9344 remove nil cons cons 9440 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9409 remove cons 9440 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 9346 ref 1788 ref appTerm appTerm 9399 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9347 remove appTerm 9399 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9346 remove nil cons cons 9440 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9405 remove cons 9440 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 9404 remove appTerm nil cons cons 347 ref 9350 remove 9399 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9348 remove nil cons cons 9440 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 9393 remove cons 9439 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 9438 remove 381 ref 9384 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 9384 remove cons 347 ref 9363 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 9386 remove 7605 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9387 remove cons 347 ref 9360 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9388 remove 9435 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9389 remove cons 347 ref 9357 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9390 remove 9436 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9391 remove cons 347 ref 9354 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9392 remove 9437 remove cons nil cons cons 414 ref subst eqMp eqMp 9441 def subst eqMp nil 346 ref 9329 remove cons 9442 def 347 ref 23 ref 9312 ref appTerm 9267 ref appTerm 9443 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 9312 ref nil cons 9444 def cons 9269 remove cons nil cons cons 9445 def 362 ref subst 9445 remove 412 ref subst 56 ref "_33963" 1884 ref var 9446 def 122 ref 130 ref 1886 ref 9446 remove varTerm appTerm appTerm 9254 ref appTerm appTerm 8717 ref appTerm absTerm 9447 def 8656 remove appTerm 9448 def appTerm refl 9447 ref 9311 ref appTerm betaConv appThm 383 ref 9448 remove betaConv appThm 122 ref 130 ref 1886 ref 9311 remove appTerm appTerm 9254 remove appTerm appTerm 8717 ref appTerm refl appThm trans 9447 remove refl 9312 remove assume appThm eqMp sym 1519 ref 2897 ref 5361 ref 5428 ref 8802 remove appThm 9294 ref refl 6830 ref appThm appThm 9296 ref refl 9449 def 6830 ref appThm appThm nil 5437 ref 9296 remove 5525 ref appTerm 9450 def nil cons cons 5438 ref 9294 remove 5525 ref appTerm nil cons cons nil cons cons nil cons cons 6337 ref subst trans appThm appThm 5362 ref 5361 ref 9251 ref refl 6830 ref appThm 9451 def appThm appThm appThm appThm 9257 ref appThm sym 8525 ref 8740 remove appThm 8170 ref trans sym 81 ref eqMp nil 346 ref 8526 ref 153 ref appTerm nil cons cons 347 ref 101 ref "cqd" 8 ref var 9452 def 199 ref 8011 ref appTerm 9453 def 1058 ref appTerm 9452 ref varTerm 9454 def appTerm 9455 def absTerm 9456 def appTerm 9457 def nil cons 9458 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2073 ref 8534 ref 5469 ref cons cons nil cons cons 7183 ref subst eqMp nil 346 ref 9458 remove cons 347 ref 122 ref 130 ref 1886 ref 9450 remove appTerm appTerm 9459 def 5241 ref 1886 ref 9251 ref 5525 ref appTerm 9460 def appTerm appTerm appTerm appTerm 8717 ref appTerm 9461 def nil cons 9462 def cons nil cons 9463 def cons nil cons cons 403 ref subst nil 83 ref 9452 ref 23 ref 9456 ref 9454 ref appTerm 9464 def appTerm 9461 ref appTerm 9465 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 9452 remove nil 77 ref 9465 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9464 ref nil cons 9466 def cons 9463 ref cons nil cons cons 9467 def 362 ref subst 9467 remove 412 ref subst 9464 ref betaConv 9464 remove assume eqMp nil 346 ref 9455 ref nil cons 9468 def cons 9463 ref cons nil cons cons 9469 def 403 ref subst proveHyp 9469 ref 362 ref subst 9469 remove 412 ref subst 20 ref 23 ref 238 remove 249 ref 1058 ref appTerm 9470 def appTerm 9471 def 9454 ref appTerm 9472 def 9166 ref appTerm 9473 def appTerm 9474 def 4110 ref 9251 remove 29 ref appTerm appTerm 5388 remove 1889 ref 9470 ref appTerm 9475 def 29 ref appTerm appTerm 9476 def 1889 ref 9454 ref appTerm 9477 def 29 ref appTerm 9478 def appTerm 9479 def appTerm appTerm absTerm 9480 def 7727 ref appTerm 9481 def betaConv 5396 ref 19 ref 20 ref 23 ref 9472 remove 5397 ref appTerm appTerm 5399 ref 9479 remove appTerm appTerm absTerm appTerm absTerm 9482 def 9166 ref appTerm 9483 def betaConv 1477 ref 11 ref 5396 ref 19 ref 20 ref 23 ref 9471 remove 1478 ref appTerm 5397 ref appTerm appTerm 5399 remove 9476 remove 5404 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9484 def 9454 ref appTerm 9485 def betaConv 5408 remove 9470 ref appTerm 9486 def betaConv 5415 remove nil 5416 remove 347 ref 9486 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 5417 remove 415 ref 9470 ref nil cons 9487 def cons 9488 def nil cons 9489 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9484 ref appTerm nil cons cons 347 ref 9485 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9484 remove nil cons cons 415 ref 9454 ref nil cons 9490 def cons nil cons 9491 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9482 ref appTerm nil cons cons 347 ref 9483 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9482 remove nil cons cons 9238 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9480 ref appTerm nil cons cons 347 ref 9481 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9480 remove nil cons cons 8771 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9474 remove 4110 ref 9252 remove appTerm 9309 remove 9475 ref 7727 ref appTerm appTerm 9477 ref 7727 ref appTerm 9492 def appTerm appTerm 9493 def appTerm 9494 def nil cons cons 9463 ref cons nil cons cons 403 ref subst proveHyp 415 ref 101 ref 1477 ref 101 ref 5396 ref 99 ref 1486 ref 99 ref 1442 ref 7477 ref 24 ref 1489 ref 9470 ref appTerm appTerm 24 ref 8317 ref 9454 ref appTerm appTerm 9314 remove 9166 ref appTerm 9495 def appTerm 9496 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9497 def 7987 ref appTerm betaConv sym 1477 ref 101 ref 5396 ref 99 ref 1486 ref 99 ref 1442 ref 8779 remove 24 ref 174 ref 7987 remove appTerm 9498 def 1487 ref appTerm 1447 ref appTerm 9470 ref appTerm appTerm 9499 def 9496 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9500 def 152 ref appTerm betaConv sym 5396 ref 99 ref 1486 ref 99 ref 1442 ref 8782 remove 9499 ref 24 ref 8995 remove 9454 ref appTerm appTerm 9501 def 9495 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9502 def 161 ref appTerm betaConv sym 1486 ref 99 ref 1442 ref 8785 ref 9499 remove 9501 remove 8158 ref 9166 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 9503 def 8011 ref appTerm betaConv sym 1442 ref 8785 remove 24 ref 9498 remove 8011 ref appTerm 9504 def 1447 ref appTerm 9470 ref appTerm appTerm 24 ref 9453 remove 1447 ref appTerm 9454 ref appTerm appTerm 9165 remove 1447 ref appTerm 9166 remove appTerm appTerm appTerm appTerm absTerm 9505 def 1058 ref appTerm betaConv sym 8787 remove 24 ref 9504 remove 1058 ref appTerm 9470 remove appTerm 9506 def appTerm refl 1017 ref nil 77 ref 9468 ref cons nil cons nil cons cons 82 ref subst 9455 remove assume eqMp 9507 def appThm 9245 remove appThm 1030 ref trans appThm nil 77 ref 9506 remove nil cons cons nil cons nil cons cons 9508 def 1690 ref subst trans appThm 9508 remove 1026 ref subst trans sym nil 9488 remove 1486 ref 1107 ref cons 1158 ref 8533 remove cons 8789 remove cons cons cons nil cons cons 415 ref 56 ref 174 ref 5501 ref appTerm 1161 ref appTerm 1487 ref appTerm 857 ref appTerm appTerm 24 ref 1612 ref 2502 remove 1487 ref appTerm appTerm 1447 ref appTerm appTerm 4287 ref 857 ref appTerm 249 remove 1487 ref appTerm appTerm appTerm appTerm absTerm 9509 def 857 ref appTerm 9510 def betaConv 1486 ref 11 ref 9509 ref appTerm 9511 def absTerm 9512 def 1487 ref appTerm 9513 def betaConv 1158 ref 19 ref 9512 ref appTerm 9514 def absTerm 9515 def 1161 ref appTerm 9516 def betaConv 1442 ref 19 ref 9515 ref appTerm 9517 def absTerm 9518 def 1447 ref appTerm 9519 def betaConv nil 19 ref 9518 ref appTerm 9520 def axiom nil 346 ref 9520 remove nil cons cons 347 ref 9519 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9518 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9517 remove nil cons cons 347 ref 9516 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9515 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9514 remove nil cons cons 347 ref 9513 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9512 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9511 remove nil cons cons 347 ref 9510 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9509 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp subst 1017 ref 8525 ref 7963 remove appThm 8170 ref trans appThm nil 9489 remove nil cons cons 7230 ref subst appThm 1030 ref trans trans sym 81 ref eqMp eqMp eqMp 93 ref 90 ref 9505 remove nil cons cons 1108 ref cons nil cons cons 1157 ref subst proveHyp eqMp 93 ref 90 ref 9503 remove nil cons cons 9328 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9502 remove nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9500 remove nil cons cons 5469 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9497 ref nil cons cons 8794 remove cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 9497 remove appTerm nil cons cons 347 ref 9473 ref nil cons 9521 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 9330 remove 9236 remove cons 9331 ref 9490 ref cons 9332 ref 9487 remove cons 7509 remove cons cons cons nil cons cons 9441 remove subst eqMp nil 346 ref 9521 remove cons 9522 def 347 ref 23 ref 9493 ref appTerm 9461 ref appTerm 9523 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 96 ref 4220 remove 9451 remove appThm 5428 ref 8800 remove appThm 9475 ref refl 6830 ref appThm appThm 9477 ref refl 9524 def 6830 remove appThm appThm appThm appThm 9461 ref refl appThm sym nil 346 ref 4110 ref 9460 ref appTerm 6327 remove 9475 remove 5525 ref appTerm 9525 def appTerm 9477 remove 5525 remove appTerm 9526 def appTerm 9527 def appTerm 9528 def nil cons 9529 def cons 9463 remove cons nil cons cons 9530 def 362 ref subst 9530 remove 412 ref subst 56 ref "_33965" 1884 ref var 9531 def 122 ref 9459 ref 5241 ref 1886 ref 9531 remove varTerm appTerm appTerm appTerm appTerm 8717 ref appTerm absTerm 9532 def 9460 remove appTerm 9533 def appTerm refl 9532 ref 9527 ref appTerm betaConv appThm 383 ref 9533 remove betaConv appThm 122 ref 9459 ref 5241 ref 1886 ref 9527 remove appTerm appTerm appTerm appTerm 8717 ref appTerm refl appThm trans 9532 remove refl 9528 remove assume appThm eqMp sym 1519 ref 9459 ref refl 5362 ref 5361 ref 5428 remove 8801 remove appThm 9525 ref refl appThm 9526 ref refl appThm nil 5437 remove 9526 ref nil cons cons 5438 remove 9525 remove nil cons cons nil cons cons nil cons cons 6337 remove subst trans appThm appThm appThm appThm 9257 ref appThm sym 8525 remove 8807 remove appThm 8170 remove trans sym 81 ref eqMp nil 346 ref 8526 remove 140 ref appTerm nil cons cons 347 ref 101 ref "spd" 8 ref var 9534 def 4644 ref 8011 ref appTerm 9535 def 1058 ref appTerm 9534 ref varTerm 9536 def appTerm 9537 def absTerm 9538 def appTerm 9539 def nil cons 9540 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2073 ref 8534 remove 6814 ref cons cons nil cons cons 7183 ref subst eqMp nil 346 ref 9540 remove cons 347 ref 122 ref 9459 remove 5241 ref 1886 ref 9526 remove appTerm appTerm appTerm appTerm 8717 ref appTerm 9541 def nil cons 9542 def cons nil cons 9543 def cons nil cons cons 403 ref subst nil 83 ref 9534 ref 23 ref 9538 ref 9536 ref appTerm 9544 def appTerm 9541 ref appTerm 9545 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 9534 remove nil 77 ref 9545 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9544 ref nil cons 9546 def cons 9543 ref cons nil cons cons 9547 def 362 ref subst 9547 remove 412 ref subst 9544 ref betaConv 9544 remove assume eqMp nil 346 ref 9537 ref nil cons 9548 def cons 9543 ref cons nil cons cons 9549 def 403 ref subst proveHyp 9549 ref 362 ref subst 9549 remove 412 ref subst 2012 ref 8450 remove appThm 9550 def 8823 remove 7962 remove trans 7961 remove trans appThm nil 8506 remove nil cons nil cons cons 9551 def 5566 ref subst 9552 def trans sym 81 ref eqMp nil 346 ref 1612 ref 8418 remove appTerm 9553 def 144 ref appTerm nil cons cons 347 ref 101 ref "cpd" 8 ref var 9554 def 185 ref 7698 ref appTerm 9555 def 1058 ref appTerm 9554 ref varTerm 9556 def appTerm 9557 def absTerm 9558 def appTerm 9559 def nil cons 9560 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2073 ref 8788 ref 6134 ref cons cons nil cons cons 7183 ref subst eqMp nil 346 ref 9560 remove cons 9543 ref cons nil cons cons 403 ref subst nil 83 ref 9554 ref 23 ref 9558 ref 9556 ref appTerm 9561 def appTerm 9541 ref appTerm 9562 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 9554 remove nil 77 ref 9562 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9561 ref nil cons 9563 def cons 9543 ref cons nil cons cons 9564 def 362 ref subst 9564 remove 412 ref subst 9561 ref betaConv 9561 remove assume eqMp nil 346 ref 9557 ref nil cons 9565 def cons 9543 ref cons nil cons cons 9566 def 403 ref subst proveHyp 9566 ref 362 ref subst 9566 remove 412 ref subst 20 ref 23 ref 223 ref 9536 ref appTerm 9567 def 9556 ref appTerm 9568 def 9262 ref appTerm 9569 def 9454 ref appTerm 9570 def appTerm 9571 def 122 ref 130 ref 1886 ref 1889 ref 9536 ref appTerm 9572 def 29 ref appTerm appTerm appTerm 9573 def 1886 ref 1889 ref 9556 ref appTerm 9574 def 29 ref appTerm appTerm appTerm appTerm 9575 def 130 ref 1886 ref 9297 remove appTerm appTerm 9576 def 5241 ref 1886 ref 9478 remove appTerm appTerm appTerm appTerm appTerm absTerm 9577 def 7727 ref appTerm 9578 def betaConv 6577 ref 19 ref 20 ref 23 ref 9569 remove 6578 ref appTerm appTerm 9575 ref 9576 remove 6580 remove appTerm appTerm appTerm absTerm appTerm absTerm 9579 def 9454 ref appTerm 9580 def betaConv 6583 ref 11 ref 6577 ref 19 ref 20 ref 23 ref 9568 remove 6584 ref appTerm 6578 ref appTerm appTerm 9575 remove 6586 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9581 def 9262 ref appTerm 9582 def betaConv 1477 ref 11 ref 6583 ref 11 ref 6577 ref 19 ref 20 ref 23 ref 9567 remove 1478 ref appTerm 6584 ref appTerm 6578 ref appTerm appTerm 122 ref 9573 remove 6590 remove appTerm appTerm 6586 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9583 def 9556 ref appTerm 9584 def betaConv 6597 remove 9536 ref appTerm 9585 def betaConv 6600 remove nil 6601 remove 347 ref 9585 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 6602 remove 415 ref 9536 ref nil cons 9586 def cons nil cons 9587 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9583 ref appTerm nil cons cons 347 ref 9584 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9583 remove nil cons cons 415 ref 9556 ref nil cons 9588 def cons nil cons 9589 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9581 ref appTerm nil cons cons 347 ref 9582 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9581 remove nil cons cons 9308 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9579 ref appTerm nil cons cons 347 ref 9580 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9579 remove nil cons cons 9491 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9577 ref appTerm nil cons cons 347 ref 9578 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9577 remove nil cons cons 8771 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9571 remove 122 ref 130 ref 1886 ref 9572 ref 7727 ref appTerm appTerm appTerm 1886 ref 9574 ref 7727 remove appTerm appTerm appTerm 9590 def appTerm 9591 def 130 ref 1886 ref 9310 remove appTerm appTerm 5241 remove 1886 ref 9492 remove appTerm appTerm appTerm 9592 def appTerm 9593 def appTerm 9594 def nil cons cons 9543 remove cons nil cons cons 403 ref subst proveHyp 415 ref 101 ref 1477 ref 101 ref 6583 ref 101 ref 6577 ref 99 ref 1486 ref 99 ref 1442 ref 24 ref 6595 ref appTerm 9595 def 24 ref 1489 ref 9536 ref appTerm appTerm 24 ref 8317 ref 9556 ref appTerm 9596 def appTerm 24 ref 174 ref 6584 ref appTerm 1487 ref appTerm 1447 ref appTerm 9597 def 9262 ref appTerm appTerm 174 ref 6578 ref appTerm 1487 ref appTerm 1447 ref appTerm 9598 def 9454 ref appTerm 9599 def appTerm 9600 def appTerm 9601 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9602 def 4646 ref appTerm betaConv sym 1477 ref 101 ref 6583 ref 101 ref 6577 ref 99 ref 1486 ref 99 ref 1442 ref 24 ref 6589 remove appTerm 24 ref 174 ref 4646 ref appTerm 9603 def 1487 ref appTerm 1447 ref appTerm 9604 def 9536 ref appTerm appTerm 9605 def 9601 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9606 def 188 ref appTerm betaConv sym 6583 ref 101 ref 6577 ref 99 ref 1486 ref 99 ref 1442 ref 24 ref 6585 remove appTerm 9605 ref 24 ref 174 ref 188 ref appTerm 9607 def 1487 ref appTerm 1447 ref appTerm 9608 def 9556 ref appTerm appTerm 9609 def 9600 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9610 def 4655 ref appTerm betaConv sym 6577 ref 99 ref 1486 ref 99 ref 1442 ref 24 ref 6579 remove appTerm 9605 ref 9609 ref 24 ref 174 ref 4655 ref appTerm 9611 def 1487 ref appTerm 1447 ref appTerm 9612 def 9262 ref appTerm appTerm 9613 def 9599 remove appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9614 def 202 ref appTerm betaConv sym 1486 ref 99 ref 1442 ref 4672 ref 9605 remove 9609 remove 9613 remove 174 ref 202 ref appTerm 9615 def 1487 ref appTerm 1447 ref appTerm 9616 def 9454 ref appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm 9617 def 7698 ref appTerm betaConv sym 1442 ref 4672 ref 24 ref 9603 remove 7698 ref appTerm 9618 def 1447 ref appTerm 9619 def 9536 ref appTerm appTerm 24 ref 9607 remove 7698 ref appTerm 9620 def 1447 ref appTerm 9621 def 9556 ref appTerm appTerm 24 ref 9611 remove 7698 ref appTerm 9622 def 1447 ref appTerm 9623 def 9262 ref appTerm appTerm 9615 remove 7698 ref appTerm 9624 def 1447 ref appTerm 9625 def 9454 ref appTerm appTerm appTerm appTerm appTerm absTerm 9626 def 1058 ref appTerm betaConv sym 1017 ref nil 77 ref 4838 remove cons nil cons nil cons cons 82 ref subst 4671 remove assume eqMp appThm 24 ref 9618 remove 1058 ref appTerm 9627 def 9536 ref appTerm 9628 def appTerm 24 ref 9620 remove 1058 ref appTerm 9629 def 9556 ref appTerm 9630 def appTerm 24 ref 9622 remove 1058 ref appTerm 9631 def 9262 ref appTerm 9632 def appTerm 9624 remove 1058 ref appTerm 9633 def 9454 ref appTerm 9634 def appTerm 9635 def appTerm 9636 def appTerm 9637 def refl appThm nil 77 ref 9637 remove nil cons cons nil cons nil cons cons 1026 ref subst trans sym 5396 ref 7922 ref 56 ref 9627 remove 5397 ref appTerm appTerm 24 ref 9553 ref 7750 ref appTerm appTerm 9638 def 4644 ref 1467 ref 7698 ref appTerm 9639 def appTerm 9640 def 1058 ref appTerm 9641 def 5397 ref appTerm appTerm appTerm appTerm absTerm 9642 def 9536 ref appTerm 9643 def betaConv 1442 ref 11 ref 5396 ref 7922 ref 56 ref 9619 remove 5397 ref appTerm appTerm 24 ref 8152 remove 7750 ref appTerm appTerm 9644 def 9640 remove 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 9645 def 1058 ref appTerm 9646 def betaConv 1486 ref 19 ref 1442 ref 11 ref 5396 ref 7922 ref 56 ref 9604 remove 5397 ref appTerm appTerm 24 ref 7170 remove 7750 ref appTerm appTerm 9647 def 4644 ref 1467 ref 1487 ref appTerm 9648 def appTerm 1447 ref appTerm 5397 ref appTerm 9649 def appTerm 9650 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9651 def 7698 ref appTerm 9652 def betaConv 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 8919 remove 8318 ref 9650 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9653 def 4646 ref appTerm 9654 def betaConv 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 4645 remove 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 9649 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9655 def 7750 ref appTerm 9656 def betaConv 2281 ref 19 ref 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 4644 ref 2283 ref appTerm 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 4644 ref 8324 ref appTerm 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9657 def 135 ref appTerm 9658 def betaConv 8327 ref 139 ref appTerm 9659 def betaConv 8330 ref nil 8331 ref 347 ref 9659 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 8332 ref 6814 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9657 ref appTerm nil cons cons 347 ref 9658 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9657 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9655 ref appTerm nil cons cons 347 ref 9656 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9655 remove nil cons cons 8928 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9653 ref appTerm nil cons cons 347 ref 9654 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9653 remove nil cons cons 6605 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9651 ref appTerm nil cons cons 347 ref 9652 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9651 remove nil cons cons 8163 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9645 ref appTerm nil cons cons 347 ref 9646 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9645 remove nil cons cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9642 ref appTerm nil cons cons 347 ref 9643 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9642 remove nil cons cons 9587 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7922 remove 56 ref 9628 ref appTerm 9638 ref 9641 remove 9536 ref appTerm appTerm appTerm 9660 def appTerm 9661 def nil cons cons 347 ref 9628 ref nil cons 9662 def cons nil cons 9663 def cons nil cons cons 403 ref subst proveHyp nil 7919 remove 347 ref 23 ref 9660 ref appTerm 9628 ref appTerm 9664 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 9660 ref nil cons 9665 def cons 9663 remove cons nil cons cons 9666 def 362 ref subst 9666 remove 412 ref subst 9660 remove assume sym 1017 ref 9550 ref 7774 remove appThm 9551 remove 3627 ref subst trans appThm 9667 def 6841 ref nil 7701 ref 3643 remove cons nil cons cons 1669 ref subst 9668 def appThm 3094 ref appThm 9536 ref refl 9669 def appThm appThm nil 77 ref 4644 remove 1377 ref 8910 remove appTerm 9670 def appTerm 1058 ref appTerm 9536 ref appTerm nil cons cons nil cons nil cons cons 1026 ref subst trans sym 6841 remove 1939 ref 8944 remove appThm 9671 def appThm 3094 ref appThm 9669 remove appThm nil 77 ref 9548 ref cons nil cons nil cons cons 82 ref subst 9537 remove assume eqMp 9672 def trans sym 81 ref eqMp eqMp eqMp eqMp nil 379 ref 9665 ref cons 381 ref 9662 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 8946 remove 9664 remove appTerm nil cons cons 347 ref 23 ref 9661 remove appTerm 9628 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9662 ref cons 347 ref 9665 remove cons 8947 remove cons cons nil cons cons 3428 ref subst eqMp eqMp nil 346 ref 9662 remove cons 347 ref 9636 remove nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 5396 ref 7900 ref 56 ref 9629 remove 5397 ref appTerm appTerm 9638 ref 185 ref 1692 ref 7698 ref appTerm appTerm 9673 def 1058 ref appTerm 9674 def 5397 ref appTerm appTerm appTerm appTerm absTerm 9675 def 9556 ref appTerm 9676 def betaConv 1442 ref 11 ref 5396 ref 7900 ref 56 ref 9621 remove 5397 ref appTerm appTerm 9644 ref 9673 remove 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 9677 def 1058 ref appTerm 9678 def betaConv 1486 ref 19 ref 1442 ref 11 ref 5396 ref 7900 ref 56 ref 9608 remove 5397 ref appTerm appTerm 9647 ref 185 ref 4556 remove appTerm 1447 ref appTerm 5397 ref appTerm 9679 def appTerm 9680 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9681 def 7698 ref appTerm 9682 def betaConv 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 8957 remove 8318 ref 9680 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9683 def 188 ref appTerm 9684 def betaConv 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 186 remove 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 9679 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9685 def 7750 ref appTerm 9686 def betaConv 2281 ref 19 ref 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 185 ref 2283 ref appTerm 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 185 ref 8324 ref appTerm 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9687 def 134 ref appTerm 9688 def betaConv 8327 ref 143 ref appTerm 9689 def betaConv 8330 ref nil 8331 ref 347 ref 9689 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 8332 ref 6134 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9687 ref appTerm nil cons cons 347 ref 9688 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9687 remove nil cons cons 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9685 ref appTerm nil cons cons 347 ref 9686 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9685 remove nil cons cons 8928 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9683 ref appTerm nil cons cons 347 ref 9684 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9683 remove nil cons cons 6607 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9681 ref appTerm nil cons cons 347 ref 9682 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9681 remove nil cons cons 8163 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9677 ref appTerm nil cons cons 347 ref 9678 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9677 remove nil cons cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9675 ref appTerm nil cons cons 347 ref 9676 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9675 remove nil cons cons 9589 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7900 remove 56 ref 9630 ref appTerm 9638 ref 9674 remove 9556 ref appTerm appTerm appTerm 9690 def appTerm 9691 def nil cons cons 347 ref 9630 ref nil cons 9692 def cons nil cons 9693 def cons nil cons cons 403 ref subst proveHyp nil 7896 remove 347 ref 23 ref 9690 ref appTerm 9630 ref appTerm 9694 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 9690 ref nil cons 9695 def cons 9693 remove cons nil cons cons 9696 def 362 ref subst 9696 remove 412 ref subst 9690 remove assume sym 9667 ref 185 ref refl 9697 def 8939 remove 1669 ref subst appThm 3094 ref appThm 9556 ref refl 9698 def appThm appThm nil 77 ref 185 remove 1377 ref 8948 remove appTerm appTerm 1058 ref appTerm 9556 ref appTerm nil cons cons nil cons nil cons cons 1026 ref subst trans sym 9697 remove 8943 remove appThm 3094 ref appThm 9698 remove appThm nil 77 ref 9565 ref cons nil cons nil cons cons 82 ref subst 9557 remove assume eqMp 9699 def trans sym 81 ref eqMp eqMp eqMp eqMp nil 379 ref 9695 ref cons 381 ref 9692 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 8978 remove 9694 remove appTerm nil cons cons 347 ref 23 ref 9691 remove appTerm 9630 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9692 ref cons 347 ref 9695 remove cons 8979 remove cons cons nil cons cons 3428 ref subst eqMp eqMp nil 346 ref 9692 remove cons 347 ref 9635 remove nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 5396 ref 7911 ref 56 ref 9631 remove 5397 ref appTerm appTerm 9638 ref 4653 ref 9639 ref appTerm 9700 def 1058 ref appTerm 9701 def 5397 ref appTerm appTerm appTerm appTerm absTerm 9702 def 9262 ref appTerm 9703 def betaConv 1442 ref 11 ref 5396 ref 7911 ref 56 ref 9623 remove 5397 ref appTerm appTerm 9644 ref 9700 remove 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 9704 def 1058 ref appTerm 9705 def betaConv 1486 ref 19 ref 1442 ref 11 ref 5396 ref 7911 ref 56 ref 9612 remove 5397 ref appTerm appTerm 9647 ref 4653 ref 9648 ref appTerm 1447 ref appTerm 5397 ref appTerm 9706 def appTerm 9707 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9708 def 7698 ref appTerm 9709 def betaConv 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 7905 remove 1478 ref appTerm appTerm 8318 ref 9707 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9710 def 4655 ref appTerm 9711 def betaConv 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 4654 remove 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 9706 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9712 def 7750 ref appTerm 9713 def betaConv 2281 ref 19 ref 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 4653 ref 2283 ref appTerm 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 4653 ref 8324 ref appTerm 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9714 def 135 ref appTerm 9715 def betaConv 8327 ref 148 ref appTerm 9716 def betaConv 8330 ref nil 8331 ref 347 ref 9716 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 8332 ref 5419 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9714 ref appTerm nil cons cons 347 ref 9715 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9714 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9712 ref appTerm nil cons cons 347 ref 9713 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9712 remove nil cons cons 8928 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9710 ref appTerm nil cons cons 347 ref 9711 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9710 remove nil cons cons 6608 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9708 ref appTerm nil cons cons 347 ref 9709 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9708 remove nil cons cons 8163 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9704 ref appTerm nil cons cons 347 ref 9705 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9704 remove nil cons cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9702 ref appTerm nil cons cons 347 ref 9703 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9702 remove nil cons cons 9308 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7911 remove 56 ref 9632 ref appTerm 9638 ref 9701 remove 9262 ref appTerm appTerm appTerm 9717 def appTerm 9718 def nil cons cons 347 ref 9632 ref nil cons 9719 def cons nil cons 9720 def cons nil cons cons 403 ref subst proveHyp nil 7908 ref 347 ref 23 ref 9717 ref appTerm 9632 ref appTerm 9721 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 9717 ref nil cons 9722 def cons 9720 remove cons nil cons cons 9723 def 362 ref subst 9723 remove 412 ref subst 9717 remove assume sym 9667 ref 6390 ref 9668 ref appThm 3094 ref appThm 9262 ref refl 9724 def appThm appThm nil 77 ref 4653 remove 9670 ref appTerm 1058 ref appTerm 9262 remove appTerm nil cons cons nil cons nil cons cons 1026 ref subst trans sym 6390 remove 9671 ref appThm 3094 ref appThm 9724 remove appThm 9327 remove trans sym 81 ref eqMp eqMp eqMp eqMp nil 379 ref 9722 ref cons 381 ref 9719 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 7906 remove appTerm 9721 remove appTerm nil cons cons 347 ref 23 ref 9718 remove appTerm 9632 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9719 ref cons 347 ref 9722 remove cons 7908 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp nil 346 ref 9719 remove cons 347 ref 9634 ref nil cons 9725 def cons nil cons 9726 def cons nil cons cons 412 ref subst proveHyp 5396 ref 7879 ref 56 ref 9633 remove 5397 ref appTerm appTerm 9638 ref 199 ref 9639 remove appTerm 9727 def 1058 ref appTerm 9728 def 5397 ref appTerm appTerm appTerm appTerm absTerm 9729 def 9454 ref appTerm 9730 def betaConv 1442 ref 11 ref 5396 ref 7879 ref 56 ref 9625 remove 5397 ref appTerm appTerm 9644 remove 9727 remove 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 9731 def 1058 ref appTerm 9732 def betaConv 1486 ref 19 ref 1442 ref 11 ref 5396 ref 7879 ref 56 ref 9616 remove 5397 ref appTerm appTerm 9647 remove 199 ref 9648 remove appTerm 1447 ref appTerm 5397 ref appTerm 9733 def appTerm 9734 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9735 def 7698 ref appTerm 9736 def betaConv 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 8990 remove 8318 ref 9734 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9737 def 202 ref appTerm 9738 def betaConv 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 200 remove 1310 ref appTerm 1478 ref appTerm appTerm 8318 ref 8321 ref 9733 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9739 def 7750 remove appTerm 9740 def betaConv 2281 ref 19 ref 1308 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 5396 ref 23 ref 199 ref 2283 ref appTerm 1310 ref appTerm 1478 ref appTerm appTerm 8318 remove 8321 remove 199 ref 8324 remove appTerm 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9741 def 135 ref appTerm 9742 def betaConv 8327 remove 152 ref appTerm 9743 def betaConv 8330 remove nil 8331 remove 347 ref 9743 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 8332 remove 5469 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9741 ref appTerm nil cons cons 347 ref 9742 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9741 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9739 ref appTerm nil cons cons 347 ref 9740 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9739 remove nil cons cons 8928 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9737 ref appTerm nil cons cons 347 ref 9738 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9737 remove nil cons cons 6609 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9735 ref appTerm nil cons cons 347 ref 9736 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9735 remove nil cons cons 8163 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9731 ref appTerm nil cons cons 347 ref 9732 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9731 remove nil cons cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9729 ref appTerm nil cons cons 347 ref 9730 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9729 remove nil cons cons 9491 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 7879 remove 56 ref 9634 ref appTerm 9638 remove 9728 remove 9454 ref appTerm appTerm appTerm 9744 def appTerm 9745 def nil cons cons 9726 ref cons nil cons cons 403 ref subst proveHyp nil 7877 remove 347 ref 23 ref 9744 ref appTerm 9634 ref appTerm 9746 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 9744 ref nil cons 9747 def cons 9726 remove cons nil cons cons 9748 def 362 ref subst 9748 remove 412 ref subst 9744 remove assume sym 9667 remove 6466 ref 9668 remove appThm 3094 ref appThm 9454 ref refl 9749 def appThm appThm nil 77 ref 199 remove 9670 remove appTerm 1058 ref appTerm 9454 remove appTerm nil cons cons nil cons nil cons cons 1026 ref subst trans sym 6466 remove 9671 remove appThm 3094 ref appThm 9749 remove appThm 9507 remove trans sym 81 ref eqMp eqMp eqMp eqMp nil 379 ref 9747 ref cons 381 ref 9725 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 9009 remove 9746 remove appTerm nil cons cons 347 ref 23 ref 9745 remove appTerm 9634 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9725 remove cons 347 ref 9747 remove cons 9010 remove cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp 93 ref 90 ref 9626 remove nil cons cons 1108 ref cons nil cons cons 1157 ref subst proveHyp eqMp 93 ref 90 ref 9617 remove nil cons cons 8163 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9614 remove nil cons cons 6609 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9610 remove nil cons cons 6608 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9606 remove nil cons cons 6607 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9602 ref nil cons cons 6605 remove cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 9602 remove appTerm nil cons cons 347 ref 9570 ref nil cons 9750 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil "cs" 8 ref var 9751 def 9490 remove cons "ss" 8 ref var 9752 def 9307 remove cons 9331 ref 9588 remove cons 9753 def 9332 ref 9586 ref cons nil cons cons cons cons nil cons cons 9751 ref 23 ref 101 ref 415 ref 101 ref 1477 ref 101 ref 6583 ref 101 ref 6577 ref 99 ref 1486 ref 99 ref 1442 ref 9595 ref 9334 ref 9337 remove 24 ref 9597 remove 9752 ref varTerm 9754 def appTerm appTerm 9598 remove 9751 ref varTerm 9755 def appTerm appTerm appTerm appTerm appTerm 9756 def absTerm 9757 def appTerm 9758 def absTerm 9759 def appTerm 9760 def absTerm 9761 def appTerm 9762 def absTerm 9763 def appTerm 9764 def absTerm 9765 def appTerm 9766 def absTerm 9767 def appTerm 9768 def appTerm 9769 def 223 ref 9333 ref appTerm 9335 ref appTerm 9754 ref appTerm 9755 ref appTerm 9770 def appTerm 9771 def absTerm 9772 def 9755 ref appTerm 9773 def betaConv 9752 ref 11 ref 9772 ref appTerm 9774 def absTerm 9775 def 9754 ref appTerm 9776 def betaConv 9331 ref 11 ref 9775 ref appTerm 9777 def absTerm 9778 def 9335 ref appTerm 9779 def betaConv 9332 ref 11 ref 9778 ref appTerm 9780 def absTerm 9781 def 9333 ref appTerm 9782 def betaConv nil 11 ref 415 ref 11 ref 1477 ref 11 ref 6583 ref 11 ref 6577 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 9332 ref 11 ref 9331 ref 11 ref 9752 ref 11 ref 9751 ref 23 ref 9756 ref appTerm 9770 ref appTerm absTerm 9783 def appTerm 9784 def absTerm 9785 def appTerm 9786 def absTerm 9787 def appTerm 9788 def absTerm 9789 def appTerm 9790 def absTerm 9791 def appTerm 9792 def absTerm 9793 def appTerm 9794 def absTerm 9795 def appTerm 9796 def absTerm 9797 def appTerm 9798 def absTerm 9799 def appTerm 9800 def absTerm 9801 def appTerm 9802 def axiom nil 346 ref 9802 ref nil cons 9803 def cons 9804 def 347 ref 11 ref 9781 ref appTerm nil cons 9805 def cons nil cons cons nil cons cons 9806 def 403 ref subst proveHyp 9806 ref 362 ref subst 9806 remove 412 ref subst nil 83 ref 9781 remove nil cons cons 9807 def nil cons nil cons cons 87 ref subst 9332 ref nil 77 ref 9780 remove nil cons 9808 def cons nil cons nil cons cons 82 ref subst nil 83 ref 9778 remove nil cons cons 9809 def nil cons nil cons cons 87 ref subst 9331 ref nil 77 ref 9777 remove nil cons 9810 def cons nil cons nil cons cons 82 ref subst nil 83 ref 9775 remove nil cons cons 9811 def nil cons nil cons cons 87 ref subst 9752 remove nil 77 ref 9774 remove nil cons 9812 def cons nil cons nil cons cons 82 ref subst nil 83 ref 9772 remove nil cons cons 9813 def nil cons nil cons cons 87 ref subst 9751 remove nil 77 ref 9771 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9768 remove nil cons 9814 def cons 9815 def 347 ref 9770 ref nil cons 9816 def cons nil cons 9817 def cons nil cons cons 9818 def 362 ref subst 9818 remove 412 ref subst nil 9804 ref 9817 ref cons nil cons cons 9819 def 403 ref subst nil 9815 remove 347 ref 23 ref 9802 remove appTerm 9770 remove appTerm 9820 def nil cons 9821 def cons nil cons 9822 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 9767 ref 857 ref appTerm 9823 def appTerm 9820 ref appTerm 9824 def absTerm 9825 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 9824 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9823 ref nil cons 9826 def cons 9822 ref cons nil cons cons 9827 def 362 ref subst 9827 remove 412 ref subst 9823 ref betaConv 9823 remove assume eqMp nil 346 ref 9766 ref nil cons cons 9822 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1477 ref 23 ref 9765 ref 1478 ref appTerm 9828 def appTerm 9820 ref appTerm 9829 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 9829 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9828 ref nil cons 9830 def cons 9822 ref cons nil cons cons 9831 def 362 ref subst 9831 remove 412 ref subst 9828 ref betaConv 9828 remove assume eqMp nil 346 ref 9764 ref nil cons cons 9822 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 6583 ref 23 ref 9763 ref 6584 ref appTerm 9832 def appTerm 9820 ref appTerm 9833 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 6583 ref nil 77 ref 9833 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9832 ref nil cons 9834 def cons 9822 ref cons nil cons cons 9835 def 362 ref subst 9835 remove 412 ref subst 9832 ref betaConv 9832 remove assume eqMp nil 346 ref 9762 ref nil cons cons 9822 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 6577 ref 23 ref 9761 ref 6578 ref appTerm 9836 def appTerm 9820 ref appTerm 9837 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 6577 ref nil 77 ref 9837 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9836 ref nil cons 9838 def cons 9822 ref cons nil cons cons 9839 def 362 ref subst 9839 remove 412 ref subst 9836 ref betaConv 9836 remove assume eqMp nil 346 ref 9760 ref nil cons cons 9822 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1486 ref 23 ref 9759 ref 1487 ref appTerm 9840 def appTerm 9820 ref appTerm 9841 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 9841 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9840 ref nil cons 9842 def cons 9822 ref cons nil cons cons 9843 def 362 ref subst 9843 remove 412 ref subst 9840 ref betaConv 9840 remove assume eqMp nil 346 ref 9758 ref nil cons cons 9822 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1442 ref 23 ref 9757 ref 1447 ref appTerm 9844 def appTerm 9820 ref appTerm 9845 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 9845 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9844 ref nil cons 9846 def cons 9822 ref cons nil cons cons 9847 def 362 ref subst 9847 remove 412 ref subst 9844 ref betaConv 9844 remove assume eqMp nil 346 ref 9756 remove nil cons 9848 def cons 9849 def 9822 remove cons nil cons cons 9850 def 403 ref subst proveHyp 9850 ref 362 ref subst 9850 remove 412 ref subst 9819 ref 362 ref subst 9819 remove 412 ref subst nil 9849 remove 9817 remove cons nil cons cons 403 ref subst 9783 ref 9755 ref appTerm 9851 def betaConv 9785 ref 9754 ref appTerm 9852 def betaConv 9787 ref 9335 ref appTerm 9853 def betaConv 9789 ref 9333 ref appTerm 9854 def betaConv 9791 ref 1447 ref appTerm 9855 def betaConv 9793 ref 1487 ref appTerm 9856 def betaConv 9795 ref 6578 ref appTerm 9857 def betaConv 9797 ref 6584 ref appTerm 9858 def betaConv 9799 ref 1478 ref appTerm 9859 def betaConv 9801 ref 857 ref appTerm 9860 def betaConv nil 9804 remove 347 ref 9860 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 83 ref 9801 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9800 remove nil cons cons 347 ref 9859 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9799 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9798 remove nil cons cons 347 ref 9858 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9797 remove nil cons cons 8855 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9796 remove nil cons cons 347 ref 9857 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9795 remove nil cons cons 8856 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9794 remove nil cons cons 347 ref 9856 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9793 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9792 remove nil cons cons 347 ref 9855 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9791 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9790 remove nil cons cons 347 ref 9854 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9789 remove nil cons cons 9435 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9788 remove nil cons cons 347 ref 9853 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9787 remove nil cons cons 9436 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9786 remove nil cons cons 347 ref 9852 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9785 remove nil cons cons 415 ref 9754 remove nil cons cons nil cons 9861 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9784 remove nil cons cons 347 ref 9851 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9783 remove nil cons cons 415 ref 9755 remove nil cons cons nil cons 9862 def cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 9803 remove cons 9863 def 381 ref 9816 remove cons nil cons 9864 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 9848 remove cons 381 ref 9821 remove cons nil cons 9865 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9846 remove cons 9865 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 9757 ref 963 ref appTerm appTerm 9820 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9758 remove appTerm 9820 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9757 remove nil cons cons 9865 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9842 remove cons 9865 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 9759 ref 963 ref appTerm appTerm 9820 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9760 remove appTerm 9820 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9759 remove nil cons cons 9865 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9838 remove cons 9865 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 9761 ref 1788 ref appTerm appTerm 9820 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9762 remove appTerm 9820 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9761 remove nil cons cons 9865 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9834 remove cons 9865 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 9763 ref 1788 ref appTerm appTerm 9820 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9764 remove appTerm 9820 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9763 remove nil cons cons 9865 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9830 remove cons 9865 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 9765 ref 1788 ref appTerm appTerm 9820 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9766 remove appTerm 9820 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9765 remove nil cons cons 9865 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9826 remove cons 9865 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 9825 remove appTerm nil cons cons 347 ref 9769 remove 9820 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9767 remove nil cons cons 9865 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 9814 remove cons 9864 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 9863 remove 381 ref 9805 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 9805 remove cons 347 ref 9782 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9807 remove 9435 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9808 remove cons 347 ref 9779 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9809 remove 9436 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9810 remove cons 347 ref 9776 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9811 remove 9861 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9812 remove cons 347 ref 9773 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9813 remove 9862 remove cons nil cons cons 414 ref subst eqMp eqMp subst eqMp nil 346 ref 9750 remove cons 9866 def 347 ref 23 ref 9593 ref appTerm 9867 def 9541 ref appTerm 9868 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 9867 remove refl 1519 ref 2897 ref 5361 ref 9449 remove 6092 ref appThm appThm appThm 5362 remove 5361 ref 9524 remove 6092 remove appThm appThm appThm appThm appThm 9257 ref appThm appThm sym nil 346 ref 9593 ref nil cons 9869 def cons 347 ref 122 ref 9592 ref appTerm 8717 ref appTerm nil cons 9870 def cons nil cons cons nil cons cons 9871 def 362 ref subst 9871 remove 412 ref subst 56 ref "_33975" 16 ref var 9872 def 122 ref 9872 remove varTerm appTerm 8717 ref appTerm absTerm 9873 def 9592 remove appTerm 9874 def appTerm refl 9873 ref 9590 remove appTerm betaConv appThm 383 ref 9874 remove betaConv appThm 9591 remove 8717 ref appTerm refl appThm trans 9873 remove refl 9593 remove assume sym appThm eqMp sym 1519 ref 2897 ref 5361 ref 9572 ref refl 6096 ref appThm appThm appThm 5361 ref 9574 ref refl 6096 remove appThm appThm appThm appThm 9257 remove appThm sym 20 ref 23 ref 263 ref 8528 ref appTerm 9875 def 9536 ref appTerm 9876 def appTerm 9877 def 4110 ref 9572 ref 1791 ref appTerm appTerm 9293 ref appTerm appTerm absTerm 9878 def 1905 ref appTerm 9879 def betaConv 1477 ref 19 ref 20 ref 23 ref 9875 remove 1478 ref appTerm appTerm 6804 ref 9293 remove appTerm appTerm absTerm appTerm absTerm 9880 def 9536 ref appTerm 9881 def betaConv 6807 ref 8528 ref appTerm 9882 def betaConv 6810 ref nil 6811 ref 347 ref 9882 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 6812 ref 8630 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 9880 ref appTerm nil cons cons 347 ref 9881 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9880 remove nil cons cons 9587 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 9878 ref appTerm nil cons cons 347 ref 9879 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9878 remove nil cons cons 4861 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9877 remove 4110 ref 9572 remove 6106 ref appTerm 9883 def appTerm 8686 ref appTerm 9884 def appTerm 9885 def nil cons cons 347 ref 122 ref 130 ref 1886 ref 9883 ref appTerm appTerm 1886 ref 9574 ref 6106 remove appTerm 9886 def appTerm 9887 def appTerm appTerm 8717 ref appTerm 9888 def nil cons 9889 def cons nil cons 9890 def cons nil cons cons 403 ref subst proveHyp 415 ref 101 ref 1477 ref 99 ref 1486 ref 99 ref 1442 ref 1676 ref 24 ref 1489 ref 8528 remove appTerm appTerm 8317 remove 9536 ref appTerm 9891 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 9892 def 157 ref appTerm betaConv sym 1477 ref 99 ref 1486 ref 99 ref 1442 ref 7386 ref 24 ref 9323 remove appTerm 9893 def 9891 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 9894 def 139 ref appTerm betaConv sym 1486 ref 99 ref 1442 ref 266 ref 9893 remove 8924 remove 9536 ref appTerm appTerm appTerm absTerm appTerm absTerm 9895 def 8011 remove appTerm betaConv sym 1442 ref 266 ref 24 ref 9325 remove appTerm 9535 remove 1447 ref appTerm 9536 remove appTerm appTerm appTerm absTerm 9896 def 1058 ref appTerm betaConv sym 7392 ref 8663 remove 9672 remove appThm 1030 ref trans appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 9896 remove nil cons cons 1108 ref cons nil cons cons 1157 ref subst proveHyp eqMp 93 ref 90 ref 9895 remove nil cons cons 9328 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9894 remove nil cons cons 6814 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9892 ref nil cons cons 5421 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 9892 remove appTerm nil cons cons 347 ref 9876 ref nil cons 9897 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 9331 ref 9586 remove cons 9332 ref 8628 remove cons nil cons cons nil cons cons 9331 ref 23 ref 101 ref 415 ref 101 ref 1477 ref 99 ref 1486 ref 99 ref 1442 ref 1676 ref 9334 remove 9336 remove appTerm appTerm 9898 def absTerm 9899 def appTerm 9900 def absTerm 9901 def appTerm 9902 def absTerm 9903 def appTerm 9904 def absTerm 9905 def appTerm 9906 def appTerm 9907 def 263 ref 9333 ref appTerm 9335 ref appTerm 9908 def appTerm 9909 def absTerm 9910 def 9335 ref appTerm 9911 def betaConv 9332 ref 11 ref 9910 ref appTerm 9912 def absTerm 9913 def 9333 ref appTerm 9914 def betaConv nil 11 ref 415 ref 11 ref 1477 ref 19 ref 1486 ref 19 ref 1442 ref 11 ref 9332 ref 11 ref 9331 ref 23 ref 9898 ref appTerm 9908 ref appTerm absTerm 9915 def appTerm 9916 def absTerm 9917 def appTerm 9918 def absTerm 9919 def appTerm 9920 def absTerm 9921 def appTerm 9922 def absTerm 9923 def appTerm 9924 def absTerm 9925 def appTerm 9926 def axiom nil 346 ref 9926 ref nil cons 9927 def cons 9928 def 347 ref 11 ref 9913 ref appTerm nil cons 9929 def cons nil cons cons nil cons cons 9930 def 403 ref subst proveHyp 9930 ref 362 ref subst 9930 remove 412 ref subst nil 83 ref 9913 remove nil cons cons 9931 def nil cons nil cons cons 87 ref subst 9332 ref nil 77 ref 9912 remove nil cons 9932 def cons nil cons nil cons cons 82 ref subst nil 83 ref 9910 remove nil cons cons 9933 def nil cons nil cons cons 87 ref subst 9331 remove nil 77 ref 9909 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9906 remove nil cons 9934 def cons 9935 def 347 ref 9908 ref nil cons 9936 def cons nil cons 9937 def cons nil cons cons 9938 def 362 ref subst 9938 remove 412 ref subst nil 9928 ref 9937 ref cons nil cons cons 9939 def 403 ref subst nil 9935 remove 347 ref 23 ref 9926 remove appTerm 9908 remove appTerm 9940 def nil cons 9941 def cons nil cons 9942 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 9905 ref 857 ref appTerm 9943 def appTerm 9940 ref appTerm 9944 def absTerm 9945 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 9944 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9943 ref nil cons 9946 def cons 9942 ref cons nil cons cons 9947 def 362 ref subst 9947 remove 412 ref subst 9943 ref betaConv 9943 remove assume eqMp nil 346 ref 9904 ref nil cons cons 9942 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1477 ref 23 ref 9903 ref 1478 ref appTerm 9948 def appTerm 9940 ref appTerm 9949 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 9949 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9948 ref nil cons 9950 def cons 9942 ref cons nil cons cons 9951 def 362 ref subst 9951 remove 412 ref subst 9948 ref betaConv 9948 remove assume eqMp nil 346 ref 9902 ref nil cons cons 9942 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1486 ref 23 ref 9901 ref 1487 ref appTerm 9952 def appTerm 9940 ref appTerm 9953 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 9953 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9952 ref nil cons 9954 def cons 9942 ref cons nil cons cons 9955 def 362 ref subst 9955 remove 412 ref subst 9952 ref betaConv 9952 remove assume eqMp nil 346 ref 9900 ref nil cons cons 9942 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1442 ref 23 ref 9899 ref 1447 ref appTerm 9956 def appTerm 9940 ref appTerm 9957 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 9957 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9956 ref nil cons 9958 def cons 9942 ref cons nil cons cons 9959 def 362 ref subst 9959 remove 412 ref subst 9956 ref betaConv 9956 remove assume eqMp nil 346 ref 9898 remove nil cons 9960 def cons 9961 def 9942 remove cons nil cons cons 9962 def 403 ref subst proveHyp 9962 ref 362 ref subst 9962 remove 412 ref subst 9939 ref 362 ref subst 9939 remove 412 ref subst nil 9961 remove 9937 remove cons nil cons cons 403 ref subst 9915 ref 9335 remove appTerm 9963 def betaConv 9917 ref 9333 remove appTerm 9964 def betaConv 9919 ref 1447 ref appTerm 9965 def betaConv 9921 ref 1487 ref appTerm 9966 def betaConv 9923 ref 1478 ref appTerm 9967 def betaConv 9925 ref 857 ref appTerm 9968 def betaConv nil 9928 remove 347 ref 9968 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 83 ref 9925 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9924 remove nil cons cons 347 ref 9967 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9923 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9922 remove nil cons cons 347 ref 9966 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9921 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9920 remove nil cons cons 347 ref 9965 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9919 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9918 remove nil cons cons 347 ref 9964 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9917 remove nil cons cons 9435 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9916 remove nil cons cons 347 ref 9963 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9915 remove nil cons cons 9436 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 9927 remove cons 9969 def 381 ref 9936 remove cons nil cons 9970 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 9960 remove cons 381 ref 9941 remove cons nil cons 9971 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9958 remove cons 9971 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 9899 ref 963 ref appTerm appTerm 9940 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9900 remove appTerm 9940 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9899 remove nil cons cons 9971 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9954 remove cons 9971 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 9901 ref 963 ref appTerm appTerm 9940 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9902 remove appTerm 9940 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 9901 remove nil cons cons 9971 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9950 remove cons 9971 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 9903 ref 1788 ref appTerm appTerm 9940 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9904 remove appTerm 9940 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9903 remove nil cons cons 9971 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 9946 remove cons 9971 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 9945 remove appTerm nil cons cons 347 ref 9907 remove 9940 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9905 remove nil cons cons 9971 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 9934 remove cons 9970 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 9969 remove 381 ref 9929 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 9929 remove cons 347 ref 9914 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9931 remove 9435 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 9932 remove cons 347 ref 9911 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9933 remove 9436 remove cons nil cons cons 414 ref subst eqMp eqMp 9972 def subst eqMp nil 346 ref 9897 remove cons 9973 def 347 ref 23 ref 9884 ref appTerm 9888 ref appTerm 9974 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 9884 ref nil cons 9975 def cons 9890 remove cons nil cons cons 9976 def 362 ref subst 9976 remove 412 ref subst 56 ref "_33977" 1884 ref var 9977 def 122 ref 130 ref 1886 ref 9977 remove varTerm appTerm appTerm 9887 ref appTerm appTerm 8717 ref appTerm absTerm 9978 def 9883 remove appTerm 9979 def appTerm refl 9978 ref 8686 remove appTerm betaConv appThm 383 ref 9979 remove betaConv appThm 122 ref 8716 remove 9887 ref appTerm appTerm 8717 remove appTerm refl appThm trans 9978 remove refl 9884 remove assume appThm eqMp sym nil 8715 remove 1442 ref 9887 ref nil cons cons 1308 ref 8690 remove cons nil cons cons cons nil cons cons 2981 remove subst sym 9550 remove 8169 remove appThm 9552 remove trans sym 81 ref eqMp nil 346 ref 9553 remove 162 ref appTerm nil cons cons 347 ref 101 ref "crd2" 8 ref var 9980 def 7714 remove 1058 ref appTerm 9980 ref varTerm 9981 def appTerm 9982 def absTerm 9983 def appTerm 9984 def nil cons 9985 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2073 ref 8788 remove 5471 ref cons cons nil cons cons 7183 ref subst eqMp nil 346 ref 9985 remove cons 347 ref 122 ref 9887 remove appTerm 9986 def 8379 remove appTerm 9987 def nil cons 9988 def cons nil cons 9989 def cons nil cons cons 403 ref subst nil 83 ref 9980 ref 23 ref 9983 ref 9981 ref appTerm 9990 def appTerm 9987 ref appTerm 9991 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 9980 remove nil 77 ref 9991 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 9990 ref nil cons 9992 def cons 9989 ref cons nil cons cons 9993 def 362 ref subst 9993 remove 412 ref subst 9990 ref betaConv 9990 remove assume eqMp nil 346 ref 9982 ref nil cons 9994 def cons 9989 remove cons nil cons cons 9995 def 403 ref subst proveHyp 9995 ref 362 ref subst 9995 remove 412 ref subst nil 8337 remove 1477 ref 4277 ref 9981 ref appTerm 4278 ref 6008 ref appTerm 9996 def appTerm 9997 def nil cons 9998 def cons nil cons cons nil cons cons 6366 remove subst sym 415 ref 99 ref 1486 ref 1488 ref 1081 ref appTerm 8175 ref appTerm absTerm appTerm absTerm 9999 def 161 ref appTerm betaConv sym 1486 ref 8157 remove 1081 ref appTerm 8175 ref appTerm absTerm 10000 def 7698 ref appTerm betaConv sym 9183 remove nil 3385 ref nil cons cons 10001 def 1439 ref subst appThm 8260 remove appThm 8346 remove trans sym 81 ref eqMp eqMp 93 ref 90 ref 10000 remove nil cons cons 8163 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 9999 ref nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 9999 remove appTerm nil cons cons 347 ref 9185 remove 1081 ref appTerm 10002 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1442 ref 1081 ref nil cons 10003 def cons 9187 ref cons nil cons cons 8250 ref subst eqMp 56 ref "_33979" 16 ref var 10004 def 9190 ref 10004 remove varTerm appTerm 9997 ref appTerm absTerm 10005 def 9184 remove appTerm 10006 def appTerm refl 10005 ref 1081 ref appTerm betaConv appThm 383 ref 10006 remove betaConv appThm 9190 ref 1081 remove appTerm 9997 ref appTerm 10007 def refl appThm trans 10005 remove refl 10002 remove assume appThm eqMp sym 24 ref 9190 ref 1058 ref appTerm 10008 def 9981 ref appTerm 10009 def appTerm 10010 def refl 10011 def nil 1054 ref 6138 ref cons 10012 def 1158 ref 1692 ref 1058 ref appTerm 10013 def nil cons cons 8338 ref cons cons nil cons cons 6389 remove subst 8410 remove refl 8551 ref appThm 8451 remove appThm trans appThm sym 8437 remove nil 8441 remove 347 ref 10010 ref 8414 ref appTerm 10014 def nil cons 10015 def cons nil cons 10016 def cons nil cons cons 403 ref subst proveHyp nil 8182 ref 347 ref 8443 remove 10014 ref appTerm 10017 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 8446 remove 10016 remove cons nil cons cons 10018 def 362 ref subst 10018 remove 412 ref subst 56 ref "_33981" 2 ref var 10019 def 10010 ref 10019 remove varTerm appTerm absTerm 10020 def 8414 remove appTerm 10021 def appTerm refl 10020 ref 8438 ref appTerm betaConv appThm 383 ref 10021 remove betaConv appThm 10010 ref 8438 remove appTerm refl appThm trans 10020 remove refl 8448 remove appThm eqMp sym 10011 remove 8452 remove appThm nil 77 ref 10009 ref nil cons 10022 def cons nil cons nil cons cons 1690 ref subst trans sym 5396 ref 8416 ref 56 ref 10008 remove 5397 ref appTerm appTerm 24 ref 1612 ref 10013 ref appTerm 2494 ref appTerm appTerm 10023 def 210 remove 8570 remove appTerm 10024 def 1058 ref appTerm 10025 def 5397 ref appTerm appTerm appTerm appTerm absTerm 10026 def 9981 ref appTerm 10027 def betaConv 1442 ref 11 ref 5396 ref 8416 ref 56 ref 9190 remove 1447 ref appTerm 5397 ref appTerm appTerm 24 ref 1612 ref 1711 remove appTerm 2494 ref appTerm appTerm 10024 remove 1447 ref appTerm 5397 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 10028 def 1058 ref appTerm 10029 def betaConv 9226 remove 134 ref appTerm 10030 def betaConv 9233 remove nil 9234 remove 347 ref 10030 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 9235 remove 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 10028 ref appTerm nil cons cons 347 ref 10029 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10028 remove nil cons cons 1108 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 10026 ref appTerm nil cons cons 347 ref 10027 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10026 remove nil cons cons 415 ref 9981 ref nil cons 10031 def cons nil cons 10032 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8416 remove 56 ref 10009 ref appTerm 10023 remove 10025 remove 9981 ref appTerm appTerm appTerm 10033 def appTerm 10034 def nil cons cons 347 ref 10022 ref cons nil cons 10035 def cons nil cons cons 403 ref subst proveHyp nil 8182 remove 347 ref 23 ref 10033 ref appTerm 10009 ref appTerm 10036 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 10033 ref nil cons 10037 def cons 10035 remove cons nil cons cons 10038 def 362 ref subst 10038 remove 412 ref subst 10033 remove assume sym 1017 ref 2012 ref 8551 remove appThm 8192 remove appThm 8449 ref 5566 ref subst trans appThm 8345 remove 8606 remove appThm 3094 ref appThm 9981 ref refl appThm nil 77 ref 9994 ref cons nil cons nil cons cons 82 ref subst 9982 remove assume eqMp 10039 def trans appThm 1030 ref trans sym 81 ref eqMp eqMp eqMp nil 379 ref 10037 ref cons 381 ref 10022 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 8454 ref 10036 remove appTerm nil cons cons 347 ref 23 ref 10034 remove appTerm 10009 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 10022 remove cons 347 ref 10037 remove cons 8456 remove cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp nil 8453 remove 381 ref 10015 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 8454 remove 10017 remove appTerm nil cons cons 347 ref 8455 remove 10014 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 10015 remove cons 8457 remove cons nil cons cons 3428 ref subst eqMp eqMp eqMp nil 346 ref 10010 remove 9189 remove 10013 remove appTerm 135 ref appTerm 9996 ref appTerm appTerm nil cons cons 347 ref 10007 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5396 ref 9996 remove nil cons 10040 def cons 1477 ref 10031 ref cons 1520 ref 3384 remove 9246 remove cons cons cons cons nil cons cons 6450 remove subst eqMp eqMp proveHyp eqMp nil 346 ref 4287 ref 9997 ref appTerm 8175 remove appTerm nil cons cons 347 ref 9247 remove 9997 remove appTerm 10041 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 415 ref 9998 remove cons 9187 remove cons nil cons cons 8350 remove subst eqMp 9986 ref refl 5361 ref 8369 remove 10041 remove assume appThm 8370 ref appThm appThm nil 6142 ref 1477 ref 10040 remove cons 10032 ref cons cons nil cons cons 6906 remove subst 130 ref 1886 ref 1889 remove 9981 ref appTerm 10042 def 1905 ref appTerm 10043 def appTerm 10044 def appTerm refl 6909 remove nil 6142 remove 10012 remove nil cons cons nil cons cons 20 ref 122 ref 1886 ref 6910 remove appTerm appTerm 6510 remove 1067 remove appTerm appTerm absTerm 10045 def 29 ref appTerm 10046 def betaConv 1054 ref 19 ref 10045 ref appTerm 10047 def absTerm 10048 def 1057 ref appTerm 10049 def betaConv nil 14 ref 10048 ref appTerm 10050 def axiom nil 346 ref 10050 remove nil cons cons 347 ref 10049 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10048 remove nil cons cons 1106 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10047 remove nil cons cons 347 ref 10046 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10045 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp subst 6739 remove 6319 remove appThm 6740 remove trans trans appThm 123 ref 9981 ref appTerm 10051 def refl appThm nil 1486 ref 10051 remove nil cons cons nil cons nil cons cons 1486 ref 122 ref 6896 remove 134 ref appTerm 1487 ref appTerm appTerm 134 ref appTerm absTerm 10052 def 1487 ref appTerm 10053 def betaConv nil 19 ref 10052 ref appTerm 10054 def axiom nil 346 ref 10054 remove nil cons cons 347 ref 10053 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10052 remove nil cons cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp subst trans appThm nil 1308 ref 10044 ref nil cons cons nil cons nil cons cons 1317 ref subst trans trans trans appThm sym 20 ref 23 ref 263 ref 9981 ref appTerm 10055 def 9556 ref appTerm 10056 def appTerm 10057 def 4110 ref 9574 remove 1791 ref appTerm appTerm 10042 remove 29 ref appTerm 10058 def appTerm appTerm absTerm 10059 def 1905 ref appTerm 10060 def betaConv 1477 ref 19 ref 20 ref 23 ref 10055 remove 1478 ref appTerm appTerm 6804 remove 10058 remove appTerm appTerm absTerm appTerm absTerm 10061 def 9556 ref appTerm 10062 def betaConv 6807 remove 9981 ref appTerm 10063 def betaConv 6810 remove nil 6811 remove 347 ref 10063 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 6812 remove 10032 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 10061 ref appTerm nil cons cons 347 ref 10062 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10061 remove nil cons cons 9589 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 10059 ref appTerm nil cons cons 347 ref 10060 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10059 remove nil cons cons 4861 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10057 remove 4110 remove 9886 ref appTerm 10043 ref appTerm 10064 def appTerm 10065 def nil cons cons 347 ref 9986 remove 10044 ref appTerm 10066 def nil cons 10067 def cons nil cons 10068 def cons nil cons cons 403 ref subst proveHyp 415 ref 101 ref 1477 ref 99 ref 1486 ref 99 ref 1442 ref 1676 ref 24 ref 1489 remove 9981 ref appTerm appTerm 9596 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10069 def 161 ref appTerm betaConv sym 1477 ref 99 ref 1486 ref 99 ref 1442 ref 6123 ref 24 ref 8158 remove 9981 ref appTerm appTerm 10070 def 9596 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10071 def 143 ref appTerm betaConv sym 1486 ref 99 ref 1442 ref 269 ref 10070 remove 8962 remove 9556 ref appTerm appTerm appTerm absTerm appTerm absTerm 10072 def 7698 ref appTerm betaConv sym 1442 ref 269 ref 24 ref 8153 remove 9981 remove appTerm appTerm 9555 remove 1447 ref appTerm 9556 remove appTerm appTerm appTerm absTerm 10073 def 1058 ref appTerm betaConv sym 6128 ref 1017 ref 10039 remove appThm 9699 remove appThm 1030 ref trans appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 10073 remove nil cons cons 1108 remove cons nil cons cons 1157 ref subst proveHyp eqMp 93 ref 90 ref 10072 remove nil cons cons 8163 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 10071 remove nil cons cons 6134 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 10069 ref nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 10069 remove appTerm nil cons cons 347 ref 10056 ref nil cons 10074 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 9753 remove 9332 remove 10031 remove cons nil cons cons nil cons cons 9972 remove subst eqMp nil 346 ref 10074 remove cons 10075 def 347 ref 23 ref 10064 ref appTerm 10066 ref appTerm 10076 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 10064 ref nil cons 10077 def cons 10068 remove cons nil cons cons 10078 def 362 ref subst 10078 remove 412 ref subst 56 ref "_33985" 1884 remove var 10079 def 122 ref 1886 ref 10079 remove varTerm appTerm appTerm 10044 ref appTerm absTerm 10080 def 9886 remove appTerm 10081 def appTerm refl 10080 ref 10043 remove appTerm betaConv appThm 383 ref 10081 remove betaConv appThm 122 ref 10044 ref appTerm 10044 ref appTerm refl appThm trans 10080 remove refl 10064 remove assume appThm eqMp sym 10044 remove refl eqMp eqMp nil 379 ref 10077 ref cons 381 ref 10067 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 10056 remove appTerm 10076 remove appTerm nil cons cons 347 ref 23 ref 10065 remove appTerm 10066 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 10067 remove cons 347 ref 10077 remove cons 10075 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp proveHyp eqMp nil 379 ref 9994 remove cons 381 ref 9988 remove cons nil cons 10082 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9992 remove cons 10082 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 9983 ref 857 ref appTerm appTerm 9987 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9984 remove appTerm 9987 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9983 remove nil cons cons 10082 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 379 ref 9975 ref cons 381 ref 9889 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 9876 remove appTerm 9974 remove appTerm nil cons cons 347 ref 23 ref 9885 remove appTerm 9888 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9889 remove cons 347 ref 9975 remove cons 9973 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp nil 379 ref 9869 ref cons 381 ref 9870 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 346 ref 24 ref 9570 remove appTerm 9868 remove appTerm nil cons cons 347 ref 23 ref 9594 remove appTerm 9541 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9542 ref cons 347 ref 9869 remove cons 9866 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp nil 379 ref 9565 remove cons 381 ref 9542 remove cons nil cons 10083 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9563 remove cons 10083 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 9558 ref 857 ref appTerm appTerm 9541 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9559 remove appTerm 9541 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9558 remove nil cons cons 10083 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 9548 remove cons 10083 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9546 remove cons 10083 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 9538 ref 857 ref appTerm appTerm 9541 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9539 remove appTerm 9541 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9538 remove nil cons cons 10083 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 379 ref 9529 remove cons 381 ref 9462 ref cons nil cons 10084 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 346 ref 24 ref 9473 remove appTerm 9523 remove appTerm nil cons cons 347 ref 23 ref 9494 remove appTerm 9461 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9462 remove cons 347 ref 9493 remove nil cons cons 9522 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp nil 379 ref 9468 remove cons 10084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9466 remove cons 10084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 9456 ref 857 ref appTerm appTerm 9461 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9457 remove appTerm 9461 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9456 remove nil cons cons 10084 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 379 ref 9444 ref cons 381 ref 9268 ref cons nil cons 10085 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 9291 remove appTerm 9443 remove appTerm nil cons cons 347 ref 23 ref 9313 remove appTerm 9267 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 9268 remove cons 347 ref 9444 remove cons 9442 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp nil 379 ref 9287 remove cons 10085 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9285 remove cons 10085 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 9280 ref 857 ref appTerm appTerm 9267 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9281 remove appTerm 9267 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9280 remove nil cons cons 10085 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 9274 remove cons 10085 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9272 remove cons 10085 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 9264 ref 857 ref appTerm appTerm 9267 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9265 remove appTerm 9267 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9264 remove nil cons cons 10085 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp proveHyp eqMp nil 379 ref 9176 remove cons 381 ref 9163 remove cons nil cons 10086 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 9174 remove cons 10086 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 9168 ref 857 ref appTerm appTerm 8738 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 9169 remove appTerm 8738 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 9168 remove nil cons cons 10086 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp nil 379 ref 8733 ref cons 381 ref 8669 ref cons nil cons 10087 def cons nil cons cons 395 ref subst deductAntisym eqMp 96 ref 1519 ref 6246 ref appThm 2788 ref appThm 6225 remove trans appThm 1017 ref 8660 ref refl 1897 ref refl 6246 remove appThm 3094 remove appThm appThm appThm 8666 ref refl appThm appThm nil 77 ref 24 ref 8660 remove 1897 remove 3640 remove appTerm 1058 ref appTerm appTerm appTerm 8666 remove appTerm nil cons cons nil cons nil cons cons 2735 ref subst trans sym 81 ref eqMp nil 379 ref 8729 remove nil cons cons 381 ref 8733 remove cons 2464 ref 8669 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp eqMp nil 379 ref 8731 remove cons 10087 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp eqMp eqMp proveHyp eqMp eqMp 52 ref 5 ref 8662 remove nil cons cons 8769 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 8659 remove nil cons cons 8338 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 8515 remove nil cons cons 8630 remove cons nil cons cons 1157 ref subst proveHyp eqMp nil 379 ref 8652 remove cons 381 ref 8517 remove cons nil cons 10088 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 8650 remove cons 10088 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 8645 ref 684 ref appTerm appTerm 8516 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 8646 remove appTerm 8516 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8645 remove nil cons cons 10088 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 8539 remove cons 10088 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 8537 remove cons 10088 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 8530 ref 857 ref appTerm appTerm 8516 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 8531 remove appTerm 8516 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8530 remove nil cons cons 10088 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 8523 remove cons 10088 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 8521 remove cons 10088 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 8511 ref 684 ref appTerm appTerm 8516 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 8512 remove appTerm 8516 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 8511 remove nil cons cons 10088 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp proveHyp proveHyp eqMp nil 379 ref 8181 remove cons 381 ref 8149 ref cons nil cons 10089 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 8178 remove cons 10089 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 8166 ref 857 ref appTerm appTerm 8015 ref appTerm absTerm appTerm nil cons cons 8173 remove cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 8166 remove nil cons cons 10089 ref cons nil cons cons 893 ref subst eqMp eqMp nil 346 ref 24 ref 8164 remove appTerm 8172 remove appTerm nil cons cons 347 ref 23 ref 8168 remove appTerm 8015 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 8149 remove cons 347 ref 8167 remove nil cons cons 8171 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp nil 379 ref 6177 remove cons 10089 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 7696 remove 381 ref 8147 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8143 remove cons 381 ref 8145 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 7692 ref 381 ref 8141 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8137 remove cons 381 ref 8139 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8133 remove cons 381 ref 8135 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 7641 remove 381 ref 8022 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7625 remove cons 10090 def 381 ref 8130 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7837 remove cons 381 ref 8128 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7840 remove cons 381 ref 8126 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 6036 remove cons 381 ref 8124 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7081 remove cons 381 ref 8122 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 4885 remove cons 10091 def 381 ref 8120 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 4872 ref cons 10092 def 381 ref 8118 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 4855 remove cons 381 ref 8116 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 4854 remove 381 ref 8114 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 4849 remove 381 ref 8112 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 654 remove 381 ref 8110 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8107 remove cons 381 ref 8108 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 4843 remove 381 ref 8105 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 640 remove 381 ref 8103 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 4839 remove 381 ref 8101 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 4836 remove 381 ref 8099 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 4833 remove 381 ref 8097 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7876 remove cons 381 ref 8095 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 620 remove 381 ref 8093 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7885 remove cons 381 ref 8091 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7895 remove cons 381 ref 8089 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 608 remove 381 ref 8087 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7907 remove cons 381 ref 8085 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 4823 remove 381 ref 8083 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 7918 remove cons 381 ref 8081 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 4818 remove 381 ref 8079 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8076 remove cons 381 ref 8077 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8073 remove cons 381 ref 8074 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8070 remove cons 381 ref 8071 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8067 remove cons 381 ref 8068 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8064 remove cons 381 ref 8065 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8061 remove cons 381 ref 8062 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 8058 remove cons 381 ref 8059 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 4627 remove 381 ref 8056 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp eqMp nil 379 ref 7758 remove cons 381 ref 7742 remove cons nil cons 10093 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 7756 remove cons 10093 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 7752 ref 963 ref appTerm appTerm 7735 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 7753 remove appTerm 7735 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 7752 remove nil cons cons 10093 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 7743 remove cons 10094 def 10093 remove cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 7739 remove 7735 remove appTerm nil cons cons 347 ref 7741 remove 6028 remove appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 7740 remove nil cons 10095 def cons 10096 def 347 ref 6181 ref cons nil cons cons nil cons cons 10097 def 362 ref subst 10097 remove 412 ref subst 415 ref 99 ref 1158 ref 6119 remove 9146 remove appTerm absTerm appTerm absTerm 10098 def 161 ref appTerm betaConv sym 1158 ref 6124 remove 9148 remove appTerm absTerm 10099 def 131 ref appTerm betaConv sym 6130 ref 5989 ref 5281 ref appTerm 10100 def refl appThm nil 77 ref 10100 remove nil cons cons nil cons nil cons cons 1026 ref subst trans sym nil 7701 remove 1425 ref cons nil cons cons 10101 def 2637 remove subst sym 24 ref 1612 ref 131 ref appTerm 5258 ref appTerm 10102 def appTerm refl nil 77 ref 7665 ref cons nil cons nil cons cons 82 ref subst 7825 remove eqMp 10103 def appThm nil 77 ref 10102 remove nil cons cons nil cons nil cons cons 1690 ref subst trans sym nil 7746 remove 6887 ref cons nil cons cons 10104 def 2361 remove subst 839 ref 7748 ref 1442 ref 1972 remove 2019 remove appTerm 10105 def absTerm 10106 def 1447 ref appTerm 10107 def betaConv 1308 ref 19 ref 10106 ref appTerm 10108 def absTerm 10109 def 1310 ref appTerm 10110 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 10105 remove assume sym 2020 remove assume sym deductAntisym absThm appThm absThm appThm 2027 remove eqMp nil 346 ref 19 ref 10109 ref appTerm nil cons cons 347 ref 10110 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10109 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10108 remove nil cons cons 347 ref 10107 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10106 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst nil 10096 remove 347 ref 56 ref 7704 remove appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 10094 remove nil cons nil cons cons 791 ref subst eqMp 10111 def trans appThm 3162 ref trans trans sym 81 ref eqMp eqMp eqMp 8301 ref 7749 remove 5258 ref appTerm assume appThm 8302 remove appThm 8303 remove trans sym 81 ref eqMp proveHyp eqMp eqMp 93 ref 90 ref 10099 remove nil cons cons 1508 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 10098 ref nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 10098 remove appTerm nil cons cons 347 ref 1323 ref 6008 ref appTerm 5281 ref appTerm 10112 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1319 ref 8257 remove cons 1327 ref 6138 remove cons nil cons cons nil cons cons 1319 ref 23 ref 101 ref 415 ref 99 ref 1158 ref 1332 ref absTerm 10113 def appTerm 10114 def absTerm 10115 def appTerm 10116 def appTerm 10117 def 1329 ref appTerm 10118 def absTerm 10119 def 1321 ref appTerm 10120 def betaConv 1327 ref 14 ref 10119 ref appTerm 10121 def absTerm 10122 def 1328 ref appTerm 10123 def betaConv 1344 remove nil 1346 ref 347 ref 14 ref 10122 ref appTerm nil cons 10124 def cons nil cons cons nil cons cons 10125 def 403 ref subst proveHyp 10125 ref 362 ref subst 10125 remove 412 ref subst nil 5 ref 10122 remove nil cons cons 10126 def nil cons nil cons cons 76 ref subst 1327 ref nil 77 ref 10121 remove nil cons 10127 def cons nil cons nil cons cons 82 ref subst nil 5 ref 10119 remove nil cons cons 10128 def nil cons nil cons cons 76 ref subst 1319 ref nil 77 ref 10118 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10116 remove nil cons 10129 def cons 10130 def 347 ref 1329 ref nil cons 10131 def cons nil cons 10132 def cons nil cons cons 10133 def 362 ref subst 10133 remove 412 ref subst nil 1346 remove 10132 ref cons nil cons cons 10134 def 403 ref subst nil 10130 remove 347 ref 23 ref 1343 remove appTerm 1329 remove appTerm 10135 def nil cons 10136 def cons nil cons 10137 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 10115 ref 857 ref appTerm 10138 def appTerm 10135 ref appTerm 10139 def absTerm 10140 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 10139 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10138 ref nil cons 10141 def cons 10137 ref cons nil cons cons 10142 def 362 ref subst 10142 remove 412 ref subst 10138 ref betaConv 10138 remove assume eqMp nil 346 ref 10114 ref nil cons cons 10137 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1158 ref 23 ref 10113 ref 1161 ref appTerm 10143 def appTerm 10135 ref appTerm 10144 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 10144 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10143 ref nil cons 10145 def cons 10137 ref cons nil cons cons 10146 def 362 ref subst 10146 remove 412 ref subst 10143 ref betaConv 10143 remove assume eqMp nil 346 ref 1332 remove nil cons 10147 def cons 10148 def 10137 remove cons nil cons cons 10149 def 403 ref subst proveHyp 10149 ref 362 ref subst 10149 remove 412 ref subst 10134 ref 362 ref subst 10134 remove 412 ref subst nil 10148 remove 10132 remove cons nil cons cons 403 ref subst 1333 ref 1321 ref appTerm 10150 def betaConv 1335 ref 1328 ref appTerm 10151 def betaConv 1337 remove 1161 ref appTerm 10152 def betaConv 1342 remove 1347 remove 1348 remove eqMp eqMp nil 1349 remove 347 ref 10152 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 1350 remove 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1336 remove nil cons cons 347 ref 10151 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1335 remove nil cons cons 404 ref 1328 remove nil cons cons nil cons 10153 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 1334 remove nil cons cons 347 ref 10150 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 1333 remove nil cons cons 404 ref 1321 remove nil cons cons nil cons 10154 def cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 1345 remove cons 10155 def 381 ref 10131 remove cons nil cons 10156 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 10147 remove cons 381 ref 10136 remove cons nil cons 10157 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10145 remove cons 10157 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 10113 ref 963 ref appTerm appTerm 10135 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10114 remove appTerm 10135 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10113 remove nil cons cons 10157 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 10141 remove cons 10157 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 10140 remove appTerm nil cons cons 347 ref 10117 remove 10135 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10115 remove nil cons cons 10157 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 10129 remove cons 10156 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 10155 remove 381 ref 10124 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 10124 remove cons 347 ref 10123 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 10126 remove 10153 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10127 remove cons 347 ref 10120 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 10128 remove 10154 remove cons nil cons cons 414 ref subst eqMp eqMp 10158 def subst eqMp 4448 remove 10112 remove assume appThm 8370 remove appThm 8372 remove trans sym 81 ref eqMp proveHyp eqMp nil 379 ref 10095 remove cons 381 ref 6181 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 93 ref 90 ref 6151 remove nil cons cons 8163 remove cons nil cons cons 1157 ref subst 10159 def proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 7685 remove cons 381 ref 7657 remove cons nil cons 10160 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 7683 remove cons 10160 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 5299 ref 684 ref appTerm appTerm 6152 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 5300 remove appTerm 6152 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 5299 remove nil cons cons 10160 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 7679 remove cons 10160 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 5301 ref 857 ref appTerm appTerm 6152 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 5302 remove appTerm 6152 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 5301 remove nil cons cons 10160 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 7674 remove cons 10160 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 5303 ref 857 ref appTerm appTerm 6152 ref appTerm absTerm appTerm nil cons cons 7670 remove cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 5303 remove nil cons cons 10160 ref cons nil cons cons 893 ref subst eqMp eqMp nil 379 ref 7665 remove cons 10161 def 381 ref 7669 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 7660 ref 7668 remove appTerm nil cons cons 347 ref 7663 ref 23 ref 4862 ref appTerm 6152 remove appTerm 10162 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 7662 ref nil cons 10163 def cons 10164 def 347 ref 10162 remove nil cons 10165 def cons nil cons cons nil cons cons 10166 def 362 ref subst 10166 remove 412 ref subst nil 346 ref 6313 ref cons 7675 remove cons nil cons cons 10167 def 362 ref subst 10167 remove 412 ref subst 7699 remove 7703 remove 7706 remove 4748 ref 5264 ref 4748 remove 5265 ref 3913 ref 5266 ref 7713 remove 7717 remove 7721 remove 7723 remove 7724 remove 839 ref 5629 ref nil 77 ref 6313 remove cons nil cons nil cons cons 82 ref subst 4862 remove assume eqMp appThm 7725 remove appThm 6219 remove 5795 remove subst trans 10168 def appThm 3475 ref trans appThm 8502 remove 5156 ref subst trans appThm nil 77 ref 7731 remove nil cons cons nil cons nil cons cons 5156 ref subst trans appThm nil 77 ref 7719 remove nil cons cons nil cons nil cons cons 5156 ref subst trans appThm nil 77 ref 7715 remove nil cons cons nil cons nil cons cons 5156 ref subst trans appThm nil 77 ref 7711 remove nil cons cons nil cons nil cons cons 5156 ref subst trans absThm appThm 5158 ref 54 ref 5162 ref subst subst trans absThm appThm 5158 remove 86 ref 5162 remove subst subst 10169 def trans absThm appThm 10169 remove trans appThm 10168 remove appThm appThm nil 77 ref 7705 remove 664 ref appTerm 67 ref appTerm nil cons cons nil cons nil cons cons 1026 ref subst trans sym nil 1443 ref 7777 remove cons nil cons cons 5114 ref subst sym 1442 ref 24 ref 5987 ref 1447 ref appTerm appTerm 1985 ref 7698 ref appTerm appTerm absTerm 10170 def 5258 ref appTerm betaConv sym 24 ref 5987 ref 5258 ref appTerm 10171 def appTerm refl 8941 ref 5566 ref subst appThm nil 77 ref 10171 remove nil cons cons nil cons nil cons cons 1690 ref subst trans sym 10104 remove 2322 remove subst 839 ref nil 10164 ref 347 ref 56 ref 5262 remove appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 10161 ref nil cons nil cons cons 791 ref subst eqMp appThm 3162 ref trans trans sym 81 ref eqMp eqMp eqMp 93 ref 90 ref 10170 ref nil cons cons 8195 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 10170 remove appTerm nil cons cons 347 ref 5987 ref 7698 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 ref 7776 remove cons 1425 ref cons nil cons cons 3815 remove subst eqMp eqMp 753 ref 10111 remove appThm 7150 remove appThm 390 remove appThm nil 794 ref 1028 remove cons 797 ref cons nil cons cons 6045 ref subst trans sym 81 ref eqMp proveHyp eqMp eqMp 10159 remove proveHyp eqMp nil 6314 remove 10160 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 10163 remove cons 10172 def 381 ref 10165 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp proveHyp eqMp nil 379 ref 7637 remove cons 10173 def 7621 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 7633 remove cons 10174 def 7621 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 5307 ref 963 ref appTerm appTerm 10175 def 6153 remove appTerm absTerm appTerm nil cons cons 7628 remove cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 5307 remove nil cons cons 10176 def 7621 remove cons nil cons cons 893 ref subst eqMp eqMp nil 10090 ref 381 ref 7627 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 379 ref 6015 remove cons 10177 def 381 ref 5574 ref cons nil cons 10178 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 6011 remove cons 10178 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 5991 ref 684 ref appTerm appTerm 5573 ref appTerm absTerm appTerm nil cons cons 6006 remove cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 5991 remove nil cons cons 10178 remove cons nil cons cons 893 ref subst eqMp eqMp nil 346 ref 24 ref 5988 remove appTerm 6005 remove appTerm nil cons cons 347 ref 23 ref 5993 remove appTerm 5573 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 5574 remove cons 347 ref 5992 remove nil cons cons 6004 ref nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp proveHyp eqMp nil 346 ref 1882 ref 5573 remove appTerm nil cons cons 347 ref 5519 remove 5542 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 5553 ref cons 5311 remove 2103 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp nil 379 ref 5551 remove cons 381 ref 5553 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 5547 remove cons 381 ref 5549 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 346 ref 24 ref 5518 remove appTerm 5546 remove appTerm nil cons cons 347 ref 19 ref 5313 ref appTerm nil cons 10179 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 1017 ref 5313 ref 134 ref appTerm betaConv appThm 1432 ref 1486 ref 96 ref 5315 ref appThm 5313 ref 2088 ref appTerm betaConv appThm absThm appThm appThm appThm 1432 ref 1486 ref 5315 remove absThm appThm appThm nil 1823 ref 5313 remove nil cons 10180 def cons nil cons nil cons cons 1836 remove subst eqMp eqMp nil 346 ref 10179 remove cons 347 ref 5314 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10180 remove cons 3974 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp nil 346 ref 5310 remove cons 347 ref 5233 ref nil cons 10181 def cons nil cons 10182 def cons nil cons cons 403 ref subst 383 ref "_33262" 2 ref var 10183 def 23 ref 10183 remove varTerm appTerm 5233 ref appTerm absTerm 10184 def 5309 remove appTerm betaConv appThm 1017 ref 6157 remove 10184 ref 5253 remove appTerm betaConv appThm appThm 6160 remove 10184 ref 5308 remove appTerm betaConv appThm appThm appThm 6165 remove nil 6166 ref 10184 remove nil cons cons nil cons nil cons cons 6167 ref subst subst eqMp sym nil 6168 remove 347 ref 6169 remove 5233 ref appTerm 10185 def nil cons 10186 def cons nil cons cons nil cons cons 10187 def 362 ref subst 10187 remove 412 ref subst nil 6173 remove 10182 ref cons nil cons cons 10188 def 362 ref subst 10188 remove 412 ref subst 6180 remove 383 ref 6315 remove appThm 1017 ref 2012 ref 5101 ref appThm 10189 def 5102 ref appThm appThm 5090 ref 2421 ref 5107 remove appThm appThm appThm appThm nil 77 ref 24 ref 7158 ref 1487 ref appTerm 10190 def appTerm 1985 ref 2254 ref 5108 remove appTerm appTerm 10191 def appTerm 10192 def nil cons cons nil cons nil cons cons 5751 ref subst trans sym nil 346 ref 10190 ref nil cons 10193 def cons 347 ref 38 ref 10191 ref appTerm 10194 def nil cons 10195 def cons nil cons 10196 def cons nil cons cons 10197 def 362 ref subst 10197 remove 412 ref subst nil 1971 ref 7147 ref cons nil cons cons 2084 ref subst 10190 ref assume eqMp nil 346 ref 99 ref 1055 ref 1926 ref 130 ref 136 ref appTerm 10198 def 1058 ref appTerm 10199 def appTerm 10200 def absTerm 10201 def appTerm 10202 def nil cons cons 10196 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1055 ref 23 ref 10201 ref 1058 ref appTerm 10203 def appTerm 10194 ref appTerm 10204 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 10204 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10203 ref nil cons 10205 def cons 10196 ref cons nil cons cons 10206 def 362 ref subst 10206 remove 412 ref subst 10203 ref betaConv 10203 remove assume eqMp nil 346 ref 10200 ref nil cons 10207 def cons 10196 remove cons nil cons cons 10208 def 403 ref subst proveHyp 10208 ref 362 ref subst 10208 remove 412 ref subst 56 ref "_33268" 16 ref var 10209 def 38 ref 1985 ref 2254 ref 4042 ref 10209 remove varTerm appTerm 136 ref appTerm appTerm appTerm appTerm absTerm 10210 def 1487 ref appTerm 10211 def appTerm refl 10210 ref 10199 ref appTerm betaConv appThm 383 ref 10211 remove betaConv appThm 38 ref 1985 ref 2254 ref 4042 ref 10199 ref appTerm 136 ref appTerm appTerm 10212 def appTerm appTerm refl appThm trans 10210 remove refl 10200 remove assume 10213 def appThm eqMp sym nil 1442 ref 10212 remove nil cons cons 1950 ref cons nil cons cons 5114 ref subst 2536 ref 2421 ref nil 2073 remove 7147 ref cons nil cons cons 5214 ref subst appThm appThm 2263 remove appThm trans sym 6286 ref 24 ref 1612 ref 2254 ref 1058 remove appTerm 10214 def appTerm 10215 def 6287 ref appTerm appTerm 7071 remove appTerm absTerm 10216 def 2254 ref 10199 ref appTerm 10217 def appTerm betaConv sym 24 ref 10215 remove 10217 ref appTerm 10218 def appTerm refl nil 77 ref 1400 ref 10217 ref appTerm 1447 ref appTerm 10219 def nil cons cons nil cons nil cons cons 82 ref subst 56 ref "_33332" 16 ref var 10220 def 1400 ref 2254 ref 10220 remove varTerm appTerm appTerm 1447 ref appTerm absTerm 10221 def 1487 ref appTerm 10222 def appTerm refl 10221 ref 10199 ref appTerm betaConv appThm 383 ref 10222 remove betaConv appThm 10219 remove refl appThm trans 10221 remove refl 10213 remove appThm eqMp 6303 remove eqMp eqMp appThm nil 77 ref 10218 remove nil cons 10223 def cons nil cons nil cons cons 1690 ref subst trans sym nil 7146 remove 3068 remove cons nil cons cons 3076 ref subst sym 81 ref eqMp nil 346 ref 3077 remove 10199 ref appTerm nil cons cons 347 ref 10223 remove cons nil cons cons nil cons cons 403 ref subst proveHyp nil 4890 ref 10199 ref nil cons cons 4889 ref 1107 remove cons nil cons cons nil cons cons 7083 ref subst eqMp eqMp eqMp 93 ref 90 ref 10216 ref nil cons cons 700 ref 10217 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 10216 remove appTerm nil cons cons 347 ref 1400 ref 10214 ref appTerm 1447 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 6282 remove 1308 ref 10214 remove nil cons cons nil cons cons nil cons cons 7126 remove subst eqMp eqMp eqMp eqMp nil 379 ref 10207 remove cons 381 ref 10195 remove cons nil cons 10224 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10205 remove cons 10224 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 10201 ref 963 ref appTerm appTerm 10194 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10202 remove appTerm 10194 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10201 remove nil cons cons 10224 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 10193 ref cons 10224 remove cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 23 ref 10190 remove appTerm 10194 remove appTerm nil cons cons 347 ref 38 ref 10192 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 3126 ref 10191 remove nil cons cons 789 ref 10193 remove cons nil cons cons nil cons cons nil 3132 remove 347 ref 23 ref 3138 remove appTerm 3135 remove appTerm nil cons 10225 def cons nil cons 10226 def cons nil cons cons 10227 def 362 ref subst 10227 remove 412 ref subst 56 ref "_33128" 2 ref var 10228 def 23 ref 23 ref 10228 remove varTerm 10229 def appTerm 3137 ref appTerm appTerm 38 ref 24 ref 10229 remove appTerm 3133 ref appTerm appTerm appTerm absTerm 10230 def 3128 remove appTerm 10231 def appTerm refl 10232 def 10230 ref 664 ref appTerm betaConv appThm 383 ref 10231 remove betaConv appThm 10233 def 23 ref 3151 remove appTerm 3150 remove appTerm refl appThm trans 10230 remove refl 10234 def 3153 remove appThm eqMp sym 96 ref 3166 remove appThm 3163 remove appThm 1029 remove 833 ref subst trans sym 81 ref eqMp eqMp eqMp nil 3168 remove 381 ref 10225 ref cons nil cons 10235 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 3172 remove 10226 remove cons nil cons cons 10236 def 362 ref subst 10236 remove 412 ref subst 10232 remove "_33126" 2 ref var 10237 def 23 ref 23 ref 10237 remove varTerm 10238 def appTerm 3137 remove appTerm appTerm 38 ref 24 ref 10238 remove appTerm 3133 remove appTerm appTerm appTerm absTerm 67 ref appTerm betaConv appThm 10233 remove 23 ref 3178 remove appTerm 3177 remove appTerm refl appThm trans 10234 remove 3179 remove appThm eqMp sym 96 ref 3182 remove appThm 3181 remove appThm 3165 remove 851 ref subst trans sym 81 ref eqMp eqMp eqMp nil 3183 ref 10235 remove cons nil cons cons 395 ref subst deductAntisym eqMp 3191 remove nil 3183 remove 3192 remove 2464 ref 10225 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp 10239 def subst eqMp eqMp proveHyp eqMp nil 7620 remove 381 ref 10181 remove cons nil cons 10240 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 7622 remove 381 ref 10186 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 6156 remove 10185 remove appTerm nil cons cons 347 ref 6159 remove 7623 remove 5233 ref appTerm 10241 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 7626 remove 347 ref 10241 remove nil cons 10242 def cons nil cons 10243 def cons nil cons cons 10244 def 362 ref subst 10244 remove 412 ref subst nil 90 ref 5254 ref 7631 remove 5233 ref appTerm 10245 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 5254 remove nil 77 ref 10245 remove nil cons cons nil cons nil cons cons 82 ref subst nil 7634 remove 10182 ref cons nil cons cons 10246 def 362 ref subst 10246 remove 412 ref subst 7636 remove nil 7638 remove 10182 ref cons nil cons cons 10247 def 403 ref subst proveHyp 10247 ref 362 ref subst 10247 remove 412 ref subst 7644 remove 7645 remove nil 7646 remove 10182 remove cons nil cons cons 403 ref subst nil 7828 remove 347 ref 7653 remove 5233 ref appTerm 10248 def nil cons 10249 def cons nil cons 10250 def cons nil cons cons 403 ref subst 2902 remove 5256 ref appTerm 10251 def betaConv 2905 remove nil 2906 remove 347 ref 10251 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 1832 remove 2907 remove 1834 remove 7129 ref cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 56 ref 99 ref 6286 ref 5256 ref 6287 remove appTerm absTerm appTerm appTerm 24 ref 5256 ref 5257 ref appTerm 10252 def appTerm 19 ref 1308 ref 23 ref 1450 ref 5257 ref appTerm appTerm 10253 def 7127 remove appTerm absTerm appTerm appTerm appTerm nil cons cons 347 ref 7831 remove 10248 ref appTerm 10254 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 383 ref 2071 ref 2281 ref 5256 ref 2283 ref appTerm betaConv absThm appThm appThm 1017 ref 10252 remove betaConv appThm 1432 ref 1308 ref 10253 ref refl 7058 remove appThm absThm appThm appThm appThm appThm 10254 ref refl 10255 def appThm sym nil 77 ref 99 ref 5256 ref appTerm 10256 def nil cons cons nil cons nil cons cons 1539 ref subst sym 5256 remove 1487 ref appTerm betaConv sym 7650 remove eqMp 93 ref 90 ref 7129 remove cons 3974 ref cons nil cons cons 1157 ref subst proveHyp eqMp 56 ref "_33338" 2 ref var 10257 def 23 ref 56 ref 10257 remove varTerm appTerm 24 ref 1985 ref 2254 ref 5257 ref appTerm appTerm appTerm 19 ref 1308 ref 10253 remove 38 ref 1985 ref 7059 remove appTerm appTerm 10258 def appTerm absTerm appTerm appTerm 10259 def appTerm appTerm 10254 ref appTerm absTerm 10260 def 10256 ref appTerm 10261 def appTerm refl 10260 ref 67 ref appTerm betaConv appThm 383 ref 10261 remove betaConv appThm 23 ref 842 remove 10259 ref appTerm appTerm 10254 remove appTerm refl appThm trans 10260 remove refl 56 ref 10256 remove appTerm 67 ref appTerm assume appThm eqMp sym 96 ref nil 77 ref 10259 remove nil cons cons nil cons nil cons cons 846 ref subst appThm 10255 remove appThm sym 2281 ref 23 ref 24 ref 5255 ref appTerm 19 ref 1308 ref 23 ref 1450 remove 2283 ref appTerm appTerm 10258 remove appTerm absTerm 10262 def appTerm 10263 def appTerm 10264 def appTerm 23 ref 122 ref 3061 ref 5258 ref appTerm 10265 def appTerm 10266 def 1487 ref appTerm 10267 def appTerm 10248 remove appTerm 10268 def appTerm 10269 def absTerm 10270 def 5257 remove appTerm 10271 def betaConv nil 90 ref 10270 ref nil cons cons 10272 def nil cons nil cons cons 95 ref subst 2281 ref nil 77 ref 10269 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10264 remove nil cons 10273 def cons 347 ref 10268 remove nil cons 10274 def cons nil cons cons nil cons cons 10275 def 362 ref subst 10275 remove 412 ref subst nil 379 ref 5255 ref nil cons 10276 def cons 381 ref 10263 remove nil cons 10277 def cons nil cons cons nil cons cons 10278 def 395 ref subst 10278 remove 428 ref subst nil 346 ref 10267 ref nil cons 10279 def cons 10250 remove cons nil cons cons 10280 def 362 ref subst 10280 remove 412 ref subst 56 ref "_33341" 16 ref var 10281 def 23 ref 5263 ref 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 5275 ref 5280 ref 5283 ref 24 ref 122 ref 130 ref 1886 ref 5284 ref 1062 ref 10281 remove varTerm 10282 def appTerm 10283 def appTerm appTerm appTerm 1886 ref 5286 ref 10283 ref appTerm appTerm appTerm appTerm 5290 ref appTerm appTerm 24 ref 5292 ref 10283 ref appTerm appTerm 38 ref 672 ref 10283 remove appTerm 10284 def appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 10284 ref appTerm appTerm 56 ref 10284 remove appTerm 24 ref 2085 ref 10282 ref appTerm appTerm 1985 ref 2254 ref 4042 ref 10282 remove appTerm 124 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 10285 def 1487 ref appTerm 10286 def appTerm refl 10285 ref 10265 ref appTerm betaConv appThm 383 ref 10286 remove betaConv appThm 23 ref 5263 remove 101 ref 5264 ref 101 ref 5265 ref 108 ref 5266 ref 5275 remove 5280 remove 5283 remove 24 ref 122 ref 130 ref 1886 ref 5284 remove 1062 ref 10265 ref appTerm 10287 def appTerm appTerm appTerm 1886 remove 5286 remove 10287 ref appTerm appTerm appTerm appTerm 5290 remove appTerm 10288 def appTerm 24 ref 5292 remove 10287 ref appTerm 10289 def appTerm 38 ref 672 ref 10287 remove appTerm 10290 def appTerm 10291 def appTerm 10292 def appTerm 10293 def appTerm 10294 def appTerm 10295 def appTerm 10296 def absTerm 10297 def appTerm 10298 def absTerm 10299 def appTerm 10300 def absTerm 10301 def appTerm 10302 def appTerm 10290 ref appTerm 10303 def appTerm 56 ref 10290 ref appTerm 10304 def 24 ref 2085 remove 10265 ref appTerm appTerm 1985 ref 2254 ref 4042 ref 10265 ref appTerm 10305 def 124 ref appTerm appTerm appTerm appTerm appTerm 10306 def appTerm refl appThm trans 10285 remove refl 10267 remove assume sym appThm eqMp sym 383 ref "_33411" 2 ref var 10307 def 23 ref 10307 remove varTerm appTerm 10306 ref appTerm absTerm 10308 def 10303 remove appTerm betaConv appThm 1017 ref 7661 remove 10308 ref 10302 ref appTerm betaConv appThm appThm 7664 remove 10308 ref 10290 ref appTerm betaConv appThm appThm appThm nil 6161 ref 10290 ref nil cons 10309 def cons 6162 ref 10302 ref nil cons cons 7666 remove cons cons nil cons cons nil 6166 ref 10308 remove nil cons cons nil cons nil cons cons 6167 ref subst subst eqMp sym nil 7667 remove 347 ref 23 ref 10302 remove appTerm 10306 ref appTerm 10310 def nil cons 10311 def cons nil cons 10312 def cons nil cons cons 10313 def 362 ref subst 10313 remove 412 ref subst nil 83 ref 5264 ref 23 ref 10301 ref 5273 remove appTerm 10314 def appTerm 10306 ref appTerm 10315 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 5264 remove nil 77 ref 10315 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10314 ref nil cons 10316 def cons 347 ref 10306 ref nil cons 10317 def cons nil cons 10318 def cons nil cons cons 10319 def 362 ref subst 10319 remove 412 ref subst 10314 ref betaConv 10314 remove assume eqMp nil 346 ref 10300 ref nil cons cons 10318 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 5265 ref 23 ref 10299 ref 5278 remove appTerm 10320 def appTerm 10306 ref appTerm 10321 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 5265 remove nil 77 ref 10321 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10320 ref nil cons 10322 def cons 10318 ref cons nil cons cons 10323 def 362 ref subst 10323 remove 412 ref subst 10320 ref betaConv 10320 remove assume eqMp nil 346 ref 10298 ref nil cons cons 10318 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 5266 ref 23 ref 10297 ref 5281 remove appTerm 10324 def appTerm 10306 ref appTerm 10325 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 5266 remove nil 77 ref 10325 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10324 ref nil cons 10326 def cons 10318 ref cons nil cons cons 10327 def 362 ref subst 10327 remove 412 ref subst 10324 ref betaConv 10324 remove assume eqMp nil 346 ref 10296 remove nil cons 10328 def cons 10318 ref cons nil cons cons 10329 def 403 ref subst proveHyp 10329 ref 362 ref subst 10329 remove 412 ref subst nil 7687 remove 381 ref 10295 remove nil cons cons nil cons cons nil cons cons 428 ref subst nil 7689 remove 381 ref 10294 remove nil cons cons nil cons cons nil cons cons 428 ref subst nil 7692 remove 381 ref 10293 remove nil cons cons nil cons cons nil cons cons 428 ref subst nil 379 ref 10288 remove nil cons cons 381 ref 10292 remove nil cons cons nil cons cons nil cons cons 428 ref subst nil 379 ref 10289 remove nil cons cons 381 ref 10291 remove nil cons 10330 def cons nil cons cons nil cons cons 428 ref subst 383 ref nil 346 ref 10330 remove cons 347 ref 10304 remove 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 379 ref 10309 ref cons 10331 def nil cons nil cons cons 791 ref subst eqMp appThm 1017 ref 10189 remove 10265 ref refl appThm appThm 5090 ref 2421 ref 10305 ref refl 5101 ref appThm appThm appThm appThm 10332 def appThm nil 77 ref 24 ref 7158 ref 10265 ref appTerm 10333 def appTerm 1985 ref 2254 ref 10305 remove 136 ref appTerm 10334 def appTerm appTerm 10335 def appTerm 10336 def nil cons 10337 def cons nil cons nil cons cons 10338 def 5751 remove subst trans sym nil 346 ref 10333 ref nil cons 10339 def cons 347 ref 38 ref 10335 ref appTerm 10340 def nil cons 10341 def cons nil cons 10342 def cons nil cons cons 10343 def 362 ref subst 10343 remove 412 ref subst nil 2968 remove 1442 ref 10334 ref nil cons 10344 def cons nil cons cons nil cons cons 1980 ref 6236 remove 1400 ref 1525 ref 5258 ref appTerm appTerm 2029 remove 5258 ref appTerm appTerm 10345 def appTerm 10346 def absTerm 10347 def 1986 remove appTerm 10348 def betaConv 1442 ref 19 ref 10347 ref appTerm 10349 def absTerm 10350 def 1447 ref appTerm 10351 def betaConv 1432 ref 1442 ref 1432 ref 1980 ref 10346 remove assume sym 56 ref 10345 remove appTerm 2031 remove appTerm assume sym deductAntisym absThm appThm absThm appThm 2038 remove 5258 ref appTerm 10352 def betaConv 2041 remove nil 2042 remove 347 ref 10352 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 2043 remove 8195 remove cons nil cons cons 414 ref subst eqMp eqMp eqMp nil 346 ref 19 ref 10350 ref appTerm nil cons cons 347 ref 10351 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10350 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10349 remove nil cons cons 347 ref 10348 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10347 remove nil cons cons 2011 remove cons nil cons cons 414 ref subst eqMp eqMp subst sym nil 1442 ref 10265 ref nil cons cons 7147 ref cons nil cons cons 2084 remove subst 10333 ref assume eqMp nil 346 ref 99 ref 1055 ref 10266 ref 10199 remove appTerm absTerm 10353 def appTerm 10354 def nil cons cons 347 ref 1400 ref 130 ref 10334 ref appTerm 5258 ref appTerm appTerm 10265 ref appTerm 10355 def nil cons 10356 def cons nil cons 10357 def cons nil cons cons 403 ref subst proveHyp nil 90 ref 1308 ref 23 ref 10353 ref 1310 ref appTerm 10358 def appTerm 10355 ref appTerm 10359 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 10359 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10358 ref nil cons 10360 def cons 10357 ref cons nil cons cons 10361 def 362 ref subst 10361 remove 412 ref subst 10358 ref betaConv 10358 remove assume eqMp nil 346 ref 10266 remove 10198 remove 1310 ref appTerm 10362 def appTerm 10363 def nil cons 10364 def cons 10357 remove cons nil cons cons 10365 def 403 ref subst proveHyp 10365 ref 362 ref subst 10365 remove 412 ref subst 56 ref "_33417" 16 ref var 10366 def 1400 ref 130 ref 4042 ref 10366 remove varTerm 10367 def appTerm 136 ref appTerm appTerm 5258 ref appTerm appTerm 10367 remove appTerm absTerm 10368 def 10265 remove appTerm 10369 def appTerm refl 10368 ref 10362 ref appTerm betaConv appThm 383 ref 10369 remove betaConv appThm 1400 ref 130 ref 4042 ref 10362 ref appTerm 136 ref appTerm appTerm 5258 ref appTerm appTerm 10362 ref appTerm refl appThm trans 10368 remove refl 10363 remove assume appThm eqMp sym 2536 ref 2897 ref nil 1442 ref 1315 ref cons 10370 def 7147 remove cons nil cons cons 5214 remove subst appThm 8938 remove appThm appThm 10362 remove refl 10371 def appThm sym 2536 ref 8941 remove 1533 ref subst appThm 10371 remove appThm sym nil 1980 ref 5497 ref cons 10372 def 8940 remove cons nil cons cons 2044 remove subst sym 8822 remove 1440 ref appThm 7748 ref 1621 ref subst 10103 remove trans trans sym 81 ref eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 10364 remove cons 381 ref 10356 remove cons nil cons 10373 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10360 remove cons 10373 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 10353 ref 963 ref appTerm appTerm 10355 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10354 remove appTerm 10355 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10353 remove nil cons cons 10373 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 346 ref 1400 ref 10334 remove appTerm 2283 ref appTerm nil cons cons 10342 remove cons nil cons cons 403 ref subst proveHyp nil 1308 ref 10344 remove cons nil cons nil cons cons 10262 ref 1310 ref appTerm 10374 def betaConv nil 346 ref 10277 remove cons 347 ref 10374 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 10262 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp eqMp nil 379 ref 10339 ref cons 381 ref 10341 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 23 ref 10333 remove appTerm 10340 remove appTerm nil cons cons 347 ref 38 ref 10336 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 3126 ref 10335 remove nil cons cons 789 ref 10339 remove cons nil cons cons nil cons cons 10239 remove subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 10328 remove cons 381 ref 10317 remove cons nil cons 10375 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10326 remove cons 10375 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 10297 ref 684 ref appTerm appTerm 10306 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10298 remove appTerm 10306 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10297 remove nil cons cons 10375 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 10322 remove cons 10375 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 10299 ref 857 ref appTerm appTerm 10306 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10300 remove appTerm 10306 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10299 remove nil cons cons 10375 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 10316 remove cons 10375 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 10301 ref 857 ref appTerm appTerm 10306 ref appTerm absTerm appTerm nil cons cons 10312 remove cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10301 remove nil cons cons 10375 ref cons nil cons cons 893 ref subst eqMp eqMp nil 10161 remove 381 ref 10311 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 7660 remove 10310 remove appTerm nil cons cons 347 ref 7663 remove 23 ref 10290 ref appTerm 10306 remove appTerm 10376 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 10164 remove 347 ref 10376 remove nil cons 10377 def cons nil cons cons nil cons cons 10378 def 362 ref subst 10378 remove 412 ref subst nil 346 ref 10309 ref cons 10318 remove cons nil cons cons 10379 def 362 ref subst 10379 remove 412 ref subst 383 ref nil 77 ref 10309 remove cons nil cons nil cons cons 82 ref subst 10290 remove assume eqMp appThm 10332 remove appThm 10338 remove 846 ref subst trans sym 7748 remove 5114 ref subst 10101 remove 2501 remove subst trans 7662 remove assume eqMp nil 346 ref 99 ref 1055 ref 122 ref 5258 ref appTerm 10380 def 132 ref 2494 ref appTerm appTerm absTerm 10381 def appTerm 10382 def nil cons cons 347 ref 10337 ref cons nil cons 10383 def cons nil cons cons 403 ref subst proveHyp nil 90 ref 1308 ref 23 ref 10381 ref 1310 ref appTerm 10384 def appTerm 10336 ref appTerm 10385 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1308 ref nil 77 ref 10385 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10384 ref nil cons 10386 def cons 10383 ref cons nil cons cons 10387 def 362 ref subst 10387 remove 412 ref subst 10384 ref betaConv 10384 remove assume eqMp nil 346 ref 10380 remove 132 ref 1428 remove appTerm 10388 def appTerm 10389 def nil cons 10390 def cons 10383 remove cons nil cons cons 10391 def 403 ref subst proveHyp 10391 ref 362 ref subst 10391 remove 412 ref subst 56 ref "_33419" 16 ref var 10392 def 24 ref 7158 ref 3061 ref 10392 remove varTerm appTerm 10393 def appTerm appTerm 1985 ref 2254 ref 4042 ref 10393 remove appTerm 136 ref appTerm appTerm appTerm appTerm absTerm 10394 def 5258 remove appTerm 10395 def appTerm refl 10394 ref 10388 ref appTerm betaConv 10396 def appThm 383 ref 10395 remove betaConv appThm 24 ref 7158 ref 3061 ref 10388 ref appTerm 10397 def appTerm appTerm 1985 ref 2254 ref 4042 ref 10397 remove appTerm 136 ref appTerm appTerm appTerm appTerm refl appThm trans 10394 remove refl 10398 def 10389 remove assume appThm eqMp sym 1519 ref nil 10370 ref 1425 remove cons nil cons cons 10399 def 1669 ref subst appThm 1311 ref refl 1440 ref appThm 10400 def 6888 ref 1669 ref subst trans appThm nil 1442 ref 1311 ref 131 ref appTerm nil cons cons 1308 ref 132 remove 1310 ref appTerm nil cons cons nil cons cons nil cons cons 3342 ref subst trans sym 10399 remove 1533 ref subst eqMp 56 ref "_33491" 16 ref var 10401 def 24 ref 7158 ref 3061 ref 10401 remove varTerm appTerm 10402 def appTerm appTerm 1985 ref 2254 ref 4042 ref 10402 remove appTerm 136 ref appTerm appTerm appTerm appTerm absTerm 10403 def 10388 ref appTerm appTerm refl 10403 remove 1311 remove 136 ref appTerm 10404 def appTerm betaConv appThm 383 ref 10396 remove appThm 24 ref 7158 remove 3061 ref 10404 ref appTerm 10405 def appTerm appTerm 1985 ref 2254 ref 4042 ref 10405 remove appTerm 136 ref appTerm appTerm appTerm appTerm refl appThm trans 10398 remove 122 ref 10388 remove appTerm 10404 remove appTerm assume appThm eqMp sym 1017 ref 2012 ref 1440 ref appThm 3061 ref refl 10406 def 10400 remove appThm 10407 def appThm appThm 5090 ref 2421 ref 7772 ref 10407 remove appThm 1440 ref appThm appThm appThm appThm sym 1017 ref 1612 ref 7448 ref appTerm refl nil 1980 ref 7448 ref nil cons 10408 def cons 10370 ref 2401 ref cons 10409 def cons nil cons cons 2148 remove subst 10410 def appThm nil 1308 ref 3061 ref 1310 ref appTerm 10411 def nil cons 10412 def cons 10413 def 1442 ref 10408 remove cons 10414 def nil cons cons nil cons cons 3076 remove subst trans appThm 5090 remove 2421 remove 7772 ref 10410 remove appThm 7448 remove refl appThm nil 10414 remove 10413 remove nil cons cons nil cons cons 1442 ref 122 ref 5207 remove 1447 ref appTerm appTerm 1310 ref appTerm absTerm 10415 def 1447 ref appTerm 10416 def betaConv 1308 ref 19 ref 10415 ref appTerm 10417 def absTerm 10418 def 1310 ref appTerm 10419 def betaConv nil 19 ref 10418 ref appTerm 10420 def axiom nil 346 ref 10420 remove nil cons cons 347 ref 10419 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10418 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10417 remove nil cons cons 347 ref 10416 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10415 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 10421 def subst trans appThm appThm appThm nil 77 ref 1985 ref 2254 remove 10411 ref appTerm 10422 def appTerm nil cons 10423 def cons nil cons nil cons cons 1026 ref subst trans sym 6286 remove 7648 remove 6288 remove 10422 ref appTerm appTerm absTerm 10424 def 2284 remove appTerm betaConv sym 1017 ref nil 77 ref 10276 remove cons nil cons nil cons cons 82 ref subst 5255 remove assume eqMp appThm 2386 remove 10422 ref appTerm 10425 def refl appThm nil 77 ref 10425 remove nil cons 10426 def cons nil cons nil cons cons 1026 ref subst trans sym nil 10409 remove nil cons cons 2615 ref subst sym 81 ref eqMp nil 346 ref 2333 remove 10411 remove appTerm nil cons cons 347 ref 10426 remove cons nil cons cons nil cons cons 403 ref subst proveHyp nil 4890 remove 10412 remove cons 4889 remove 2324 remove cons nil cons cons nil cons cons 7083 remove subst eqMp eqMp eqMp 93 ref 90 ref 10424 ref nil cons cons 700 ref 2303 remove cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 10424 remove appTerm nil cons cons 347 ref 10423 remove cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 ref 10422 remove nil cons cons 1950 ref cons nil cons cons 3755 ref subst eqMp eqMp eqMp eqMp proveHyp eqMp eqMp nil 379 ref 10390 remove cons 381 ref 10337 remove cons nil cons 10427 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10386 remove cons 10427 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 10381 ref 963 ref appTerm appTerm 10336 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10382 remove appTerm 10336 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10381 remove nil cons cons 10427 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 10331 remove 10375 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 10172 remove 381 ref 10377 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 10279 remove cons 381 ref 10249 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp proveHyp proveHyp eqMp nil 379 ref 10273 remove cons 381 ref 10274 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 10270 remove appTerm nil cons cons 347 ref 10271 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 10272 remove 700 ref 7702 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp proveHyp eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 10173 remove 10240 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 10174 remove 10240 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 10175 remove 5233 remove appTerm absTerm appTerm nil cons cons 10243 remove cons nil cons cons 403 ref subst proveHyp 93 ref 10176 remove 10240 remove cons nil cons cons 893 ref subst eqMp eqMp nil 10090 remove 381 ref 10242 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp proveHyp eqMp nil 10091 remove 381 ref 4874 ref cons nil cons 10428 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 4883 remove cons 10428 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 7 ref 2184 remove constTerm 10429 def "x" 127 ref var 10430 def 23 ref 4879 ref 10430 ref varTerm 10431 def appTerm appTerm 4870 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 4880 remove appTerm 4870 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2273 ref 2270 ref 4879 remove nil cons cons 10428 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 10092 remove 10428 ref cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 5173 ref cons 4875 ref cons nil cons cons 10432 def 362 ref subst 10432 remove 412 ref subst nil 7960 remove 4875 remove cons nil cons cons 403 ref subst 96 ref 1519 ref 2115 remove 2858 ref assume 10433 def appThm 2016 remove 1317 remove subst trans appThm 5516 remove appThm appThm 4869 ref refl 2012 ref 10433 remove appThm 5104 remove appThm appThm appThm sym nil 346 ref 122 ref 1892 remove appTerm 5248 remove appTerm 10434 def nil cons 10435 def cons 347 ref 4869 remove 2752 ref 5109 remove appTerm appTerm 10436 def nil cons 10437 def cons nil cons 10438 def cons nil cons cons 10439 def 362 ref subst 10439 remove 412 ref subst 2057 remove nil 2059 remove 10438 remove cons nil cons cons 403 ref subst proveHyp 96 ref 2536 remove 10434 remove assume appThm 2062 ref 2070 remove 5101 ref trans appThm appThm nil 7267 remove nil cons nil cons cons 8353 remove 1447 ref appTerm 10440 def betaConv 8356 remove nil 8357 remove 347 ref 10440 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 8358 remove 1461 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 8352 remove nil cons cons 347 ref 56 ref 8351 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 379 ref 8351 remove nil cons cons nil cons nil cons cons 791 ref subst eqMp subst trans appThm 10436 remove refl appThm nil 77 ref 10437 ref cons nil cons nil cons cons 2735 remove subst trans sym 81 ref eqMp eqMp eqMp nil 379 ref 10435 remove cons 381 ref 10437 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 5174 ref 10428 remove cons nil cons cons 395 ref subst deductAntisym eqMp 5223 ref 2858 ref appTerm 10441 def betaConv 5226 ref nil 5227 ref 347 ref 10441 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 5228 ref 789 ref 5173 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 5174 remove 381 ref 4872 remove cons 2464 ref 4874 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 379 ref 4864 remove cons 381 ref 4622 remove cons nil cons 10442 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 4808 remove cons 10442 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 4621 remove cons 10442 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 10443 def nil 346 ref 19 ref 4618 remove appTerm 10444 def nil cons cons 347 ref 4619 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 4620 remove 700 ref 1427 ref nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 4598 ref appTerm nil cons cons 347 ref 4599 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 4598 remove nil cons cons 404 ref 4030 ref nil cons 10445 def cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 4595 ref appTerm nil cons cons 347 ref 4596 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 4595 remove nil cons cons 4223 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 4588 ref appTerm nil cons cons 347 ref 4589 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 4588 remove nil cons cons 404 ref 4551 ref nil cons 10446 def cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 4582 ref appTerm nil cons cons 347 ref 4583 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 4582 remove nil cons cons 404 ref 4051 ref nil cons 10447 def cons nil cons 10448 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 4580 ref appTerm nil cons cons 347 ref 4581 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 4580 remove nil cons cons 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 4575 ref appTerm nil cons cons 347 ref 4576 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 4575 remove nil cons cons 700 ref 2168 ref nil cons 10449 def cons nil cons 10450 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 24 ref 19 ref 1158 ref 3957 remove 4545 ref appTerm 10451 def absTerm 10452 def appTerm 10453 def appTerm 4554 ref appTerm 10454 def appTerm 56 ref 4555 ref 1692 ref 2168 ref appTerm 10455 def appTerm appTerm 4557 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 4570 remove 24 ref 4571 remove 2168 ref appTerm appTerm 4574 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 10456 def appTerm 10457 def appTerm 10458 def nil cons cons 2269 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 10452 remove nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 10451 remove nil cons cons nil cons nil cons cons 82 ref subst nil 3966 ref 347 ref 4545 remove nil cons 10459 def cons nil cons cons nil cons cons 10460 def 362 ref subst 10460 remove 412 ref subst 56 ref "_34337" 1 ref var 10461 def 56 ref 26 ref 10461 remove varTerm appTerm 1693 ref appTerm appTerm 1877 ref appTerm absTerm 10462 def 4030 ref appTerm 10463 def appTerm refl 10462 ref 4019 ref appTerm betaConv appThm 383 ref 10463 remove betaConv appThm 56 ref 26 ref 4019 ref appTerm 10464 def 1693 ref appTerm appTerm 1877 ref appTerm refl appThm trans 10462 remove refl 4031 remove assume sym 10465 def appThm eqMp sym 383 ref nil 2195 ref 1693 ref nil cons cons 3859 ref 4018 ref nil cons 10466 def cons nil cons 10467 def cons nil cons cons 4453 ref subst 3877 ref 4018 ref appTerm 10468 def refl 10469 def 2659 ref refl 10470 def 1716 ref appThm appThm trans appThm 1877 ref refl appThm sym 3962 ref 1161 ref appTerm 10471 def betaConv nil 346 ref 19 ref 3962 ref appTerm nil cons cons 10472 def 347 ref 10471 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 3963 ref 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 3964 remove cons 347 ref 56 ref 10468 ref 3958 ref appTerm appTerm 1877 ref appTerm 10473 def nil cons 10474 def cons nil cons 10475 def cons nil cons cons 403 ref subst proveHyp nil 3966 ref 347 ref 23 ref 3960 ref appTerm 10473 ref appTerm 10476 def nil cons cons nil cons cons nil cons cons 412 ref subst nil 346 ref 3967 ref cons 10475 remove cons nil cons cons 10477 def 362 ref subst 10477 remove 412 ref subst 56 ref "_34374" 2652 remove var 10478 def 56 ref 10468 ref 10478 remove varTerm appTerm appTerm 1877 ref appTerm absTerm 10479 def 3958 remove appTerm 10480 def appTerm refl 10479 ref 3959 ref appTerm betaConv appThm 383 ref 10480 remove betaConv appThm 56 ref 10468 remove 3959 remove appTerm appTerm 1877 ref appTerm refl appThm trans 10479 remove refl 3960 remove assume appThm eqMp sym nil 2844 ref 1444 ref cons 1352 ref 4494 ref 10466 remove cons nil cons 10481 def cons cons nil cons cons 4524 ref subst 4018 ref 134 ref appTerm betaConv 3977 remove appThm 4017 ref 1161 ref appTerm betaConv trans trans eqMp eqMp nil 379 ref 3967 remove cons 381 ref 10474 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 ref 3956 remove appTerm 10476 remove appTerm nil cons cons 347 ref 23 ref 3961 remove appTerm 10473 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 10474 remove cons 3968 remove 3966 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp eqMp nil 4015 remove 381 ref 10459 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 10453 remove nil cons cons 347 ref 4554 remove nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 1519 ref 2897 ref 5361 remove nil 2195 ref 1351 ref cons nil cons nil cons cons 4117 remove 2198 ref appTerm 10482 def betaConv nil 346 ref 4150 remove cons 347 ref 10482 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 4219 remove 2598 ref cons nil cons cons 414 ref subst eqMp eqMp subst 4115 remove refl 2665 remove assume appThm nil 2844 ref 1351 remove cons 10483 def 1352 ref 4528 remove 4114 ref nil cons cons nil cons cons cons nil cons cons 4529 remove subst 4114 remove 134 ref appTerm betaConv 1486 ref 1890 remove refl 1318 ref appThm absThm trans 2788 ref appThm 1486 ref 1891 remove absTerm 134 ref appTerm betaConv trans trans trans trans appThm appThm 1427 remove refl appThm 2167 remove assume trans appThm 2062 remove 4108 remove assume 10484 def appThm appThm nil 2009 remove nil cons cons 2745 ref subst trans sym 81 ref eqMp nil 346 ref 4547 remove nil cons cons 347 ref 4553 remove nil cons cons nil cons 10485 def cons nil cons cons 412 ref subst proveHyp nil 2100 ref 10485 remove cons nil cons cons 403 ref subst 96 ref 418 remove appThm 10486 def nil 15 ref 10447 ref cons 4584 remove 10446 remove cons 12 ref 4157 remove cons 6 ref 10445 ref cons nil cons cons cons cons nil cons cons 4736 remove subst appThm sym nil 90 ref 100 ref 430 ref 99 ref 100 ref 101 ref 102 ref 101 ref 103 ref 101 ref 104 ref 101 ref 105 ref 101 ref 106 ref 101 ref 107 ref 108 ref 109 ref 108 ref 110 ref 108 ref 111 ref 108 ref 4630 ref 101 ref 4631 ref 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 24 ref 4107 ref 136 ref appTerm appTerm 10487 def 4635 remove 147 ref 4637 ref 156 ref 4639 ref 165 ref 4643 remove 4648 remove 4652 ref 4657 ref 184 ref 190 ref 194 ref 198 ref 204 ref 24 ref 4658 ref 4551 ref appTerm 10488 def 4641 ref appTerm 4650 ref appTerm appTerm 10489 def 24 ref 4663 ref 4551 remove appTerm 10490 def 4641 ref appTerm 196 ref appTerm appTerm 10491 def 4672 ref 236 ref 24 ref 237 remove 4030 ref appTerm 10492 def 4105 ref appTerm 10493 def 148 ref appTerm 157 ref appTerm appTerm 10494 def 24 ref 10492 remove 4677 ref appTerm 10495 def 152 remove appTerm 161 ref appTerm appTerm 10496 def 24 ref 244 remove 4030 ref appTerm 10497 def 255 ref appTerm 10498 def 234 ref appTerm 258 ref appTerm appTerm 10499 def 24 ref 261 remove 4051 ref appTerm appTerm 10500 def 274 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10501 def appTerm absTerm 10502 def appTerm 10503 def appTerm 10504 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 100 ref nil 77 ref 10504 remove nil cons cons nil cons nil cons cons 82 ref subst nil 433 ref 347 ref 10503 ref nil cons 10505 def cons nil cons 10506 def cons nil cons cons 10507 def 362 ref subst 10507 remove 412 ref subst 435 ref nil 436 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 102 ref 438 ref 10503 ref appTerm 10508 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 102 ref nil 77 ref 10508 remove nil cons cons nil cons nil cons cons 82 ref subst nil 441 ref 10506 ref cons nil cons cons 10509 def 362 ref subst 10509 remove 412 ref subst 443 ref nil 444 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 103 ref 446 ref 10503 ref appTerm 10510 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 103 ref nil 77 ref 10510 remove nil cons cons nil cons nil cons cons 82 ref subst nil 449 ref 10506 ref cons nil cons cons 10511 def 362 ref subst 10511 remove 412 ref subst 451 ref nil 452 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 104 ref 454 ref 10503 ref appTerm 10512 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 104 ref nil 77 ref 10512 remove nil cons cons nil cons nil cons cons 82 ref subst nil 457 ref 10506 ref cons nil cons cons 10513 def 362 ref subst 10513 remove 412 ref subst 459 ref nil 460 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 105 ref 462 ref 10503 ref appTerm 10514 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 105 ref nil 77 ref 10514 remove nil cons cons nil cons nil cons cons 82 ref subst nil 465 ref 10506 ref cons nil cons cons 10515 def 362 ref subst 10515 remove 412 ref subst 467 ref nil 468 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 106 ref 470 ref 10503 ref appTerm 10516 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 106 ref nil 77 ref 10516 remove nil cons cons nil cons nil cons cons 82 ref subst nil 473 ref 10506 ref cons nil cons cons 10517 def 362 ref subst 10517 remove 412 ref subst 475 ref nil 476 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 107 ref 478 ref 10503 ref appTerm 10518 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 107 ref nil 77 ref 10518 remove nil cons cons nil cons nil cons cons 82 ref subst nil 481 ref 10506 ref cons nil cons cons 10519 def 362 ref subst 10519 remove 412 ref subst 483 ref nil 484 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 109 ref 486 ref 10503 ref appTerm 10520 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 109 ref nil 77 ref 10520 remove nil cons cons nil cons nil cons cons 82 ref subst nil 489 ref 10506 ref cons nil cons cons 10521 def 362 ref subst 10521 remove 412 ref subst 491 ref nil 492 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 110 ref 494 ref 10503 ref appTerm 10522 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 110 ref nil 77 ref 10522 remove nil cons cons nil cons nil cons cons 82 ref subst nil 497 ref 10506 ref cons nil cons cons 10523 def 362 ref subst 10523 remove 412 ref subst 499 ref nil 500 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 111 ref 502 ref 10503 ref appTerm 10524 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 111 ref nil 77 ref 10524 remove nil cons cons nil cons nil cons cons 82 ref subst nil 505 ref 10506 ref cons nil cons cons 10525 def 362 ref subst 10525 remove 412 ref subst 507 ref nil 508 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 112 ref 510 ref 10503 ref appTerm 10526 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 112 ref nil 77 ref 10526 remove nil cons cons nil cons nil cons cons 82 ref subst nil 513 ref 10506 ref cons nil cons cons 10527 def 362 ref subst 10527 remove 412 ref subst 515 ref nil 516 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 113 ref 518 ref 10503 ref appTerm 10528 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 113 ref nil 77 ref 10528 remove nil cons cons nil cons nil cons cons 82 ref subst nil 521 ref 10506 ref cons nil cons cons 10529 def 362 ref subst 10529 remove 412 ref subst 523 ref nil 524 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 114 ref 526 ref 10503 ref appTerm 10530 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 114 ref nil 77 ref 10530 remove nil cons cons nil cons nil cons cons 82 ref subst nil 529 ref 10506 ref cons nil cons cons 10531 def 362 ref subst 10531 remove 412 ref subst 531 ref nil 532 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 115 ref 534 ref 10503 ref appTerm 10532 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 115 ref nil 77 ref 10532 remove nil cons cons nil cons nil cons cons 82 ref subst nil 537 ref 10506 ref cons nil cons cons 10533 def 362 ref subst 10533 remove 412 ref subst 539 ref nil 540 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 116 ref 542 ref 10503 ref appTerm 10534 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 116 ref nil 77 ref 10534 remove nil cons cons nil cons nil cons cons 82 ref subst nil 545 ref 10506 ref cons nil cons cons 10535 def 362 ref subst 10535 remove 412 ref subst 547 ref nil 548 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 117 ref 550 ref 10503 ref appTerm 10536 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 117 ref nil 77 ref 10536 remove nil cons cons nil cons nil cons cons 82 ref subst nil 553 ref 10506 ref cons nil cons cons 10537 def 362 ref subst 10537 remove 412 ref subst 555 ref nil 556 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 118 ref 558 ref 10503 ref appTerm 10538 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 118 ref nil 77 ref 10538 remove nil cons cons nil cons nil cons cons 82 ref subst nil 561 ref 10506 ref cons nil cons cons 10539 def 362 ref subst 10539 remove 412 ref subst 563 ref nil 564 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 119 ref 566 ref 10503 ref appTerm 10540 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 119 ref nil 77 ref 10540 remove nil cons cons nil cons nil cons cons 82 ref subst nil 569 ref 10506 ref cons nil cons cons 10541 def 362 ref subst 10541 remove 412 ref subst 571 ref nil 572 ref 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 120 ref 574 ref 10503 ref appTerm 10542 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 120 ref nil 77 ref 10542 remove nil cons cons nil cons nil cons cons 82 ref subst nil 577 ref 10506 ref cons nil cons cons 10543 def 362 ref subst 10543 remove 412 ref subst 579 ref nil 581 ref 10506 ref cons nil cons cons 10544 def 403 ref subst proveHyp 10544 ref 362 ref subst 10544 remove 412 ref subst 584 remove 395 ref subst 585 ref 586 remove 395 ref subst 587 ref 589 remove 395 ref subst 590 ref 591 remove 395 ref subst 592 ref 594 remove 395 ref subst 595 ref 596 remove 395 ref subst 597 ref 599 remove 395 ref subst 600 ref 602 remove 395 ref subst 603 ref 605 remove 395 ref subst 606 ref 609 remove 395 ref subst 610 ref 613 remove 395 ref subst 614 ref 617 remove 395 ref subst 618 ref 621 ref 624 remove 395 ref subst 625 ref 628 remove 395 ref subst 629 ref 631 remove 395 ref subst 632 ref 634 remove 395 ref subst 635 ref 637 remove 395 ref subst 638 ref 641 remove 395 ref subst 642 ref 644 remove 395 ref subst 645 ref 647 remove 395 ref subst 648 ref 651 remove 395 ref subst 652 ref 656 ref 657 ref 660 ref 4847 remove 4851 remove 4852 remove 4857 remove 4858 remove nil 4016 ref 3944 ref 2281 ref 1486 ref 707 ref 1927 ref appTerm 10545 def 7217 ref 2675 ref appTerm 10546 def appTerm 38 ref 7217 ref 4045 ref appTerm 10547 def appTerm appTerm absTerm 10548 def absTerm 10549 def appTerm 10550 def nil cons cons nil cons nil cons cons 4028 remove subst nil 346 ref 108 ref "sr0'" 1 ref var 10551 def 1323 ref 10550 ref appTerm 10551 ref varTerm 10552 def appTerm 10553 def absTerm 10554 def appTerm 10555 def nil cons cons 10506 ref cons nil cons cons 403 ref subst nil 5 ref 10551 ref 23 ref 10554 ref 10552 ref appTerm 10556 def appTerm 10503 ref appTerm 10557 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10551 remove nil 77 ref 10557 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10556 ref nil cons 10558 def cons 10506 ref cons nil cons cons 10559 def 362 ref subst 10559 remove 412 ref subst 10556 ref betaConv 10556 remove assume eqMp nil 346 ref 10553 ref nil cons 10560 def cons 10506 ref cons nil cons cons 10561 def 403 ref subst proveHyp 10561 ref 362 ref subst 10561 remove 412 ref subst nil 5 ref "sri" 1 ref var 10562 def 108 ref 1567 ref 10562 ref "sri'" 1 ref var 10563 def 1323 ref 10563 ref varTerm 10564 def appTerm 10565 def 3944 ref 2281 ref 1486 ref 10545 ref 26 ref 10562 ref varTerm 10566 def appTerm 10567 def 2675 ref appTerm 10568 def appTerm 10567 ref 4045 ref appTerm appTerm absTerm 10569 def absTerm 10570 def appTerm 10571 def appTerm 10572 def absTerm 10573 def absTerm 10574 def 10566 ref appTerm 10575 def 1569 ref appTerm 10576 def absTerm appTerm 10577 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10562 ref nil 77 ref 10577 remove nil cons cons nil cons nil cons cons 82 ref subst 3913 ref 1567 ref 10575 ref betaConv 10578 def 4129 ref appThm 10573 ref 1569 ref appTerm betaConv trans absThm appThm sym nil 4016 ref 10571 ref nil cons cons nil cons nil cons cons 54 remove 4132 remove subst 10579 def subst eqMp eqMp absThm eqMp nil 346 ref 14 ref 1160 ref 108 ref 1567 ref 10574 ref 1163 ref appTerm 1569 ref appTerm 10580 def absTerm appTerm absTerm appTerm nil cons cons 347 ref 101 ref "sr1'" 8 ref var 10581 def 4066 ref 10574 ref appTerm 10582 def 157 ref appTerm 10583 def 10581 ref varTerm 10584 def appTerm 10585 def absTerm 10586 def appTerm 10587 def nil cons 10588 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5420 remove 4061 ref 10574 ref nil cons 10589 def cons nil cons cons nil cons cons 415 ref 4065 ref 4070 remove appTerm absTerm 10590 def 857 ref appTerm 10591 def betaConv 4061 ref 11 ref 10590 ref appTerm 10592 def absTerm 10593 def 4062 remove appTerm 10594 def betaConv 4089 ref refl 4061 ref 383 ref 4065 remove refl 10595 def 4261 ref 415 ref 4071 ref 857 ref appTerm betaConv 10596 def absThm appThm appThm appThm 4261 remove 415 ref 10595 remove 10596 remove appThm absThm appThm appThm nil "q" 9 remove var 4071 remove nil cons cons 346 ref 4064 remove nil cons cons nil cons cons nil cons cons 86 ref 3211 remove subst subst eqMp absThm appThm 4091 remove eqMp nil 346 ref 4089 ref 10593 ref appTerm nil cons cons 347 ref 10594 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4092 ref 4093 ref 10593 remove nil cons cons 4214 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10592 remove nil cons cons 347 ref 10591 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10590 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp 10597 def subst eqMp nil 346 ref 10588 remove cons 10506 ref cons nil cons cons 403 ref subst nil 83 ref 10581 ref 23 ref 10586 ref 10584 ref appTerm 10598 def appTerm 10503 ref appTerm 10599 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 10581 remove nil 77 ref 10599 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10598 ref nil cons 10600 def cons 10506 ref cons nil cons cons 10601 def 362 ref subst 10601 remove 412 ref subst 10598 ref betaConv 10598 remove assume eqMp nil 346 ref 10585 ref nil cons 10602 def cons 10506 ref cons nil cons cons 10603 def 403 ref subst proveHyp 10603 ref 362 ref subst 10603 remove 412 ref subst 4061 ref 101 ref 415 ref 24 ref 4068 ref 10584 ref appTerm appTerm 1079 ref 131 ref appTerm 10604 def appTerm absTerm appTerm absTerm 10605 def 10574 ref appTerm betaConv sym 415 ref 24 ref 10582 remove 857 ref appTerm 10606 def 10584 ref appTerm appTerm 10604 ref appTerm absTerm 10607 def 157 ref appTerm betaConv sym 1017 ref nil 77 ref 10602 ref cons nil cons nil cons cons 82 ref subst 10585 ref assume eqMp appThm 10608 def 1519 ref 160 remove assume 10609 def appThm 6392 ref appThm nil 1508 ref nil cons cons 2745 ref subst 10610 def trans appThm 1030 ref trans sym 81 ref eqMp eqMp 85 ref 83 ref 10607 remove nil cons cons 5421 ref cons nil cons cons 1157 ref subst proveHyp eqMp 4092 ref 4093 ref 10605 ref nil cons cons 4094 ref 10589 remove cons nil cons 10611 def cons nil cons cons 1157 ref subst proveHyp nil 346 ref 4155 ref 10605 remove appTerm nil cons cons 347 ref 122 ref 123 ref 10584 ref appTerm 10612 def appTerm 131 ref appTerm 10613 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1443 ref 1477 ref 10584 ref nil cons 10614 def cons 10615 def nil cons cons nil cons cons 4218 ref subst eqMp nil "a" 8 ref var 10616 def 4277 ref 4278 ref 10552 ref appTerm 10617 def appTerm 10618 def 10584 ref appTerm 10619 def nil cons cons nil cons nil cons cons 86 remove 4027 remove subst 10620 def subst nil 346 ref 101 ref "sr'" 8 ref var 10621 def 4287 ref 10619 ref appTerm 10621 ref varTerm 10622 def appTerm 10623 def absTerm 10624 def appTerm 10625 def nil cons cons 10506 ref cons nil cons cons 403 ref subst nil 83 ref 10621 ref 23 ref 10624 ref 10622 ref appTerm 10626 def appTerm 10503 ref appTerm 10627 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 10621 remove nil 77 ref 10627 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10626 ref nil cons 10628 def cons 10506 ref cons nil cons cons 10629 def 362 ref subst 10629 remove 412 ref subst 10626 ref betaConv 10626 remove assume eqMp nil 346 ref 10623 ref nil cons 10630 def cons 10506 ref cons nil cons cons 10631 def 403 ref subst proveHyp 10631 ref 362 ref subst 10631 remove 412 ref subst 122 ref 123 ref 10622 ref appTerm 10632 def appTerm 10633 def refl 6373 ref appThm sym 56 ref "_34377" 8 ref var 10634 def 122 ref 123 ref 10634 remove varTerm appTerm appTerm 6371 ref appTerm absTerm 10635 def 10622 ref appTerm 10636 def appTerm refl 10635 ref 10619 ref appTerm betaConv appThm 383 ref 10636 remove betaConv appThm 122 ref 123 ref 10619 ref appTerm appTerm 6371 ref appTerm refl appThm trans 10635 remove refl 10637 def 10623 remove assume sym 10638 def appThm eqMp sym nil 10615 remove 415 ref 10617 ref nil cons cons nil cons 10639 def cons nil cons cons 1477 ref 122 ref 123 ref 4335 ref appTerm appTerm 130 ref 1078 ref appTerm 4166 ref appTerm appTerm absTerm 10640 def 1478 ref appTerm 10641 def betaConv 415 ref 11 ref 10640 ref appTerm 10642 def absTerm 10643 def 857 ref appTerm 10644 def betaConv nil 11 ref 10643 ref appTerm 10645 def axiom nil 346 ref 10645 remove nil cons cons 347 ref 10644 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10643 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10642 remove nil cons cons 347 ref 10641 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10640 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp 10646 def subst 2897 ref nil 1054 ref 10552 ref nil cons 10647 def cons nil cons 10648 def nil cons cons 1054 ref 122 ref 123 ref 4347 remove appTerm appTerm 135 ref appTerm absTerm 10649 def 1057 ref appTerm 10650 def betaConv nil 14 ref 10649 ref appTerm 10651 def axiom nil 346 ref 10651 remove nil cons cons 347 ref 10650 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10649 remove nil cons cons 1106 ref cons nil cons cons 414 ref subst eqMp eqMp 10652 def subst 10653 def appThm 10613 remove assume 10654 def appThm trans eqMp eqMp 56 ref "_34463" 8 ref var 10655 def 167 ref 10655 remove varTerm appTerm 134 ref appTerm 10552 ref appTerm absTerm 10656 def 10622 ref appTerm 10657 def appTerm refl 10656 ref 10619 ref appTerm betaConv appThm 383 ref 10657 remove betaConv appThm 167 ref 10619 ref appTerm 134 ref appTerm 10552 ref appTerm refl appThm trans 10656 remove refl 10638 ref appThm eqMp sym nil "v" 1 ref var 10658 def 10647 ref cons 415 ref 10614 remove cons 10659 def 10648 remove cons cons nil cons cons 10658 ref 56 ref 167 ref 6475 remove appTerm 134 ref appTerm 10658 ref varTerm 10660 def appTerm appTerm 1323 ref 10660 ref appTerm 1057 ref appTerm appTerm absTerm 10661 def 10660 ref appTerm 10662 def betaConv 415 ref 14 ref 10661 ref appTerm 10663 def absTerm 10664 def 857 ref appTerm 10665 def betaConv 1054 ref 11 ref 10664 ref appTerm 10666 def absTerm 10667 def 1057 ref appTerm 10668 def betaConv nil 14 ref 10667 ref appTerm 10669 def axiom nil 346 ref 10669 remove nil cons cons 347 ref 10668 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10667 remove nil cons cons 1106 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10666 remove nil cons cons 347 ref 10665 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10664 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10663 remove nil cons cons 347 ref 10662 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10661 remove nil cons cons 404 ref 10660 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 10670 def subst nil 404 ref 10647 ref cons nil cons 10671 def nil cons cons 7503 ref subst trans sym 81 ref eqMp eqMp 56 ref "_34551" 8 ref var 10672 def 174 ref 10672 remove varTerm appTerm 135 ref appTerm 131 ref appTerm 10584 ref appTerm absTerm 10673 def 10622 ref appTerm 10674 def appTerm refl 10673 ref 10619 ref appTerm betaConv appThm 383 ref 10674 remove betaConv appThm 174 ref 10619 remove appTerm 10675 def 135 ref appTerm 131 ref appTerm 10584 ref appTerm 10676 def refl 10677 def appThm trans 10673 remove refl 10638 remove appThm eqMp sym 5396 ref 56 ref 10675 ref 123 ref 10617 ref appTerm 10678 def appTerm 10612 remove appTerm 10679 def 5397 ref appTerm appTerm 4287 ref 5397 ref appTerm 10680 def 10584 ref appTerm appTerm absTerm 10681 def 10584 ref appTerm 10682 def betaConv 1477 ref 11 ref 5396 ref 56 ref 174 ref 10618 remove 1478 ref appTerm appTerm 10678 remove appTerm 4166 ref appTerm 5397 ref appTerm appTerm 10680 ref 1478 ref appTerm 10683 def appTerm absTerm appTerm absTerm 10684 def 10584 ref appTerm 10685 def betaConv 415 ref 11 ref 1477 ref 11 ref 5396 ref 56 ref 174 ref 4335 remove appTerm 1078 remove appTerm 4166 ref appTerm 5397 ref appTerm appTerm 10683 ref appTerm absTerm appTerm absTerm appTerm absTerm 10686 def 10617 remove appTerm 10687 def betaConv nil 11 ref 10686 ref appTerm 10688 def axiom 10689 def nil 346 ref 10688 remove nil cons cons 10690 def 347 ref 10687 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10686 ref nil cons cons 10691 def 10639 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 10684 ref appTerm nil cons cons 347 ref 10685 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10684 remove nil cons cons 10659 remove nil cons 10692 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 10681 ref appTerm nil cons cons 347 ref 10682 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10681 remove nil cons cons 10692 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 56 ref 10679 remove 10584 ref appTerm appTerm 4287 ref 10584 ref appTerm 10584 ref appTerm appTerm nil cons cons 347 ref 10676 remove nil cons 10693 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 383 ref 10675 remove refl 10653 remove appThm 10654 remove appThm 10584 ref refl appThm appThm nil 10692 ref nil cons cons 7230 ref subst appThm nil 77 ref 10693 remove cons nil cons nil cons cons 10694 def 1539 ref subst trans appThm 10677 remove appThm 10694 remove 851 ref subst trans sym 81 ref eqMp eqMp eqMp nil 5 ref "cri" 1 ref var 10695 def 108 ref 1567 ref 10695 ref "cri'" 1 ref var 10696 def 1323 ref 10696 ref varTerm 10697 def appTerm 10698 def 3944 ref 2281 ref 1486 ref 24 ref 1928 remove appTerm 10699 def 26 ref 10695 ref varTerm 10700 def appTerm 10701 def 4045 ref appTerm appTerm absTerm 10702 def absTerm 10703 def appTerm 10704 def appTerm 10705 def absTerm 10706 def absTerm 10707 def 10700 ref appTerm 10708 def 1569 ref appTerm 10709 def absTerm appTerm 10710 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10695 ref nil 77 ref 10710 remove nil cons cons nil cons nil cons cons 82 ref subst 3913 remove 1567 ref 10708 ref betaConv 10711 def 4129 remove appThm 10706 ref 1569 ref appTerm betaConv trans absThm appThm sym nil 4016 remove 10704 ref nil cons cons nil cons nil cons cons 10579 remove subst eqMp eqMp absThm eqMp nil 346 ref 14 ref 1160 ref 108 ref 1567 ref 10707 ref 1163 ref appTerm 1569 ref appTerm 10712 def absTerm appTerm absTerm appTerm nil cons cons 347 ref 101 ref "cr'" 8 ref var 10713 def 4066 remove 10707 ref appTerm 10714 def 161 ref appTerm 10715 def 10713 ref varTerm 10716 def appTerm 10717 def absTerm 10718 def appTerm 10719 def nil cons 10720 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5470 remove 4061 ref 10707 ref nil cons 10721 def cons nil cons cons nil cons cons 10597 remove subst eqMp nil 346 ref 10720 remove cons 10506 ref cons nil cons cons 403 ref subst nil 83 ref 10713 ref 23 ref 10718 ref 10716 ref appTerm 10722 def appTerm 10503 ref appTerm 10723 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 10713 remove nil 77 ref 10723 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10722 ref nil cons 10724 def cons 10506 ref cons nil cons cons 10725 def 362 ref subst 10725 remove 412 ref subst 10722 ref betaConv 10722 remove assume eqMp nil 346 ref 10717 ref nil cons 10726 def cons 10506 ref cons nil cons cons 10727 def 403 ref subst proveHyp 10727 ref 362 ref subst 10727 remove 412 ref subst 4061 ref 101 ref 415 ref 24 ref 4068 remove 10716 ref appTerm appTerm 1206 ref appTerm absTerm appTerm absTerm 10728 def 10707 ref appTerm betaConv sym 415 ref 24 ref 10714 remove 857 ref appTerm 10729 def 10716 ref appTerm appTerm 1206 ref appTerm absTerm 10730 def 161 ref appTerm betaConv sym 1017 ref nil 77 ref 10726 ref cons nil cons nil cons cons 82 ref subst 10717 ref assume eqMp appThm 10731 def 1519 ref 5995 ref appThm 136 ref refl 10732 def appThm nil 700 ref 5497 remove cons nil cons 10733 def nil cons cons 2745 ref subst 10734 def trans appThm 1030 ref trans sym 81 ref eqMp eqMp 85 ref 83 ref 10730 remove nil cons cons 5471 ref cons nil cons cons 1157 ref subst proveHyp eqMp 4092 ref 4093 ref 10728 ref nil cons cons 4094 remove 10721 remove cons nil cons 10735 def cons nil cons cons 1157 ref subst proveHyp nil 346 ref 4155 remove 10728 remove appTerm nil cons cons 347 ref 122 ref 123 ref 10716 ref appTerm 10736 def appTerm 10737 def 136 ref appTerm 10738 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5498 ref 1477 ref 10716 ref nil cons 10739 def cons nil cons cons nil cons cons 4218 remove subst eqMp 5994 ref 10738 ref assume 10740 def 1440 ref trans appThm 6888 ref 5890 ref subst 10741 def trans sym 81 ref eqMp nil 346 ref 5987 ref 10736 ref appTerm nil cons cons 347 ref 108 ref "cr2'" 1 ref var 10742 def 167 ref 10716 ref appTerm 10743 def 131 ref appTerm 10744 def 10742 ref varTerm 10745 def appTerm 10746 def absTerm 10747 def appTerm 10748 def nil cons 10749 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1158 ref 1423 remove cons 10750 def 415 ref 10739 ref cons nil cons 10751 def cons nil cons cons 1560 ref subst eqMp nil 346 ref 10749 remove cons 10506 ref cons nil cons cons 403 ref subst nil 5 ref 10742 ref 23 ref 10747 ref 10745 ref appTerm 10752 def appTerm 10503 ref appTerm 10753 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10742 remove nil 77 ref 10753 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10752 ref nil cons 10754 def cons 10506 ref cons nil cons cons 10755 def 362 ref subst 10755 remove 412 ref subst 10752 ref betaConv 10752 remove assume eqMp nil 346 ref 10746 ref nil cons 10756 def cons 10506 ref cons nil cons cons 10757 def 403 ref subst proveHyp 10757 ref 362 ref subst 10757 remove 412 ref subst nil 415 ref 10622 ref nil cons 10758 def cons nil cons 10759 def nil cons cons 415 ref 101 ref 1477 ref 1675 remove absTerm appTerm absTerm 10760 def 857 ref appTerm 10761 def betaConv nil 11 ref 10760 ref appTerm 10762 def axiom nil 346 ref 10762 remove nil cons cons 347 ref 10761 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10760 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp 10763 def subst nil 346 ref 101 ref "sp'" 8 ref var 10764 def 263 ref 10622 ref appTerm 10765 def 10764 ref varTerm 10766 def appTerm 10767 def absTerm 10768 def appTerm 10769 def nil cons cons 10506 ref cons nil cons cons 403 ref subst nil 83 ref 10764 ref 23 ref 10768 ref 10766 ref appTerm 10770 def appTerm 10503 ref appTerm 10771 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 10764 remove nil 77 ref 10771 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10770 ref nil cons 10772 def cons 10506 ref cons nil cons cons 10773 def 362 ref subst 10773 remove 412 ref subst 10770 ref betaConv 10770 remove assume eqMp nil 346 ref 10767 ref nil cons 10774 def cons 10506 ref cons nil cons cons 10775 def 403 ref subst proveHyp 10775 ref 362 ref subst 10775 remove 412 ref subst 415 ref 24 ref 1674 ref 10766 ref appTerm appTerm 1206 ref appTerm absTerm 10776 def 10622 ref appTerm betaConv sym 1017 ref nil 77 ref 10774 ref cons nil cons nil cons cons 82 ref subst 10767 ref assume eqMp appThm 10777 def 1519 ref 10633 ref 136 ref appTerm 10778 def assume 10779 def appThm 10732 ref appThm 10734 ref trans 10780 def appThm 1030 ref trans sym 81 ref eqMp eqMp 85 ref 83 ref 10776 ref nil cons cons 10759 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 10776 remove appTerm nil cons cons 347 ref 122 ref 123 ref 10766 ref appTerm 10781 def appTerm 136 ref appTerm 10782 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5498 ref 1477 ref 10766 ref nil cons 10783 def cons nil cons cons nil cons cons 1442 ref 23 ref 101 ref 415 ref 1676 remove 4159 ref appTerm 10784 def absTerm 10785 def appTerm 10786 def appTerm 10787 def 4167 ref appTerm 10788 def absTerm 10789 def 1447 ref appTerm 10790 def betaConv 1477 ref 19 ref 10789 ref appTerm 10791 def absTerm 10792 def 1478 ref appTerm 10793 def betaConv nil 11 ref 415 ref 11 ref 1477 ref 19 ref 1442 ref 23 ref 10784 ref appTerm 4167 ref appTerm absTerm 10794 def appTerm 10795 def absTerm 10796 def appTerm 10797 def absTerm 10798 def appTerm 10799 def axiom nil 346 ref 10799 ref nil cons 10800 def cons 10801 def 347 ref 11 ref 10792 ref appTerm nil cons 10802 def cons nil cons cons nil cons cons 10803 def 403 ref subst proveHyp 10803 ref 362 ref subst 10803 remove 412 ref subst nil 83 ref 10792 remove nil cons cons 10804 def nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 10791 remove nil cons 10805 def cons nil cons nil cons cons 82 ref subst nil 90 ref 10789 remove nil cons cons 10806 def nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 10788 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10786 remove nil cons 10807 def cons 10808 def 4192 ref cons nil cons cons 10809 def 362 ref subst 10809 remove 412 ref subst nil 10801 ref 4192 ref cons nil cons cons 10810 def 403 ref subst nil 10808 remove 347 ref 23 ref 10799 remove appTerm 4167 ref appTerm 10811 def nil cons 10812 def cons nil cons 10813 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 10785 ref 857 ref appTerm 10814 def appTerm 10811 ref appTerm 10815 def absTerm 10816 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 10815 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10814 ref nil cons 10817 def cons 10813 ref cons nil cons cons 10818 def 362 ref subst 10818 remove 412 ref subst 10814 ref betaConv 10814 remove assume eqMp nil 346 ref 10784 remove nil cons 10819 def cons 10820 def 10813 remove cons nil cons cons 10821 def 403 ref subst proveHyp 10821 ref 362 ref subst 10821 remove 412 ref subst 10810 ref 362 ref subst 10810 remove 412 ref subst nil 10820 remove 4192 remove cons nil cons cons 403 ref subst 10794 ref 1447 ref appTerm 10822 def betaConv 10796 ref 1478 ref appTerm 10823 def betaConv 10798 ref 857 ref appTerm 10824 def betaConv nil 10801 remove 347 ref 10824 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 83 ref 10798 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10797 remove nil cons cons 347 ref 10823 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10796 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10795 remove nil cons cons 347 ref 10822 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 10794 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 10800 remove cons 10825 def 4216 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 10819 remove cons 381 ref 10812 remove cons nil cons 10826 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10817 remove cons 10826 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 10816 remove appTerm nil cons cons 347 ref 10787 remove 10811 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10785 remove nil cons cons 10826 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 10807 remove cons 4216 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 10825 remove 381 ref 10802 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 10802 remove cons 347 ref 10793 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 10804 remove 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 10805 remove cons 347 ref 10790 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 10806 remove 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 10827 def subst eqMp nil 1442 ref 10781 ref nil cons cons nil cons nil cons cons 5334 ref subst 839 ref 1519 ref 10782 ref assume 10828 def 1440 ref trans 10829 def appThm 2788 ref appThm 6888 ref 4004 ref subst 10830 def trans appThm 3162 ref trans trans sym 81 ref eqMp nil 346 ref 3387 ref 10781 ref appTerm nil cons cons 347 ref 108 ref "sp0'" 1 ref var 10831 def 167 ref 10766 ref appTerm 10832 def 134 ref appTerm 10833 def 10831 ref varTerm 10834 def appTerm 10835 def absTerm 10836 def appTerm 10837 def nil cons 10838 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 6377 ref 415 ref 10783 remove cons nil cons 10839 def cons nil cons cons 1560 ref subst eqMp nil 346 ref 10838 remove cons 10506 ref cons nil cons cons 403 ref subst nil 5 ref 10831 ref 23 ref 10836 ref 10834 ref appTerm 10840 def appTerm 10503 ref appTerm 10841 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10831 remove nil 77 ref 10841 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10840 ref nil cons 10842 def cons 10506 ref cons nil cons cons 10843 def 362 ref subst 10843 remove 412 ref subst 10840 ref betaConv 10840 remove assume eqMp nil 346 ref 10835 ref nil cons 10844 def cons 10506 ref cons nil cons cons 10845 def 403 ref subst proveHyp 10845 ref 362 ref subst 10845 remove 412 ref subst 7157 remove 10781 ref refl appThm sym 7159 remove 10828 ref appThm 7161 remove trans sym 81 ref eqMp eqMp nil 346 ref 7162 remove 10781 ref appTerm nil cons cons 347 ref 101 ref "sp1'" 8 ref var 10846 def 174 ref 10766 ref appTerm 10847 def 135 ref appTerm 10848 def 131 ref appTerm 10849 def 10846 ref varTerm 10850 def appTerm 10851 def absTerm 10852 def appTerm 10853 def nil cons 10854 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1443 ref 7169 remove 10839 ref cons cons nil cons cons 7183 ref subst eqMp nil 346 ref 10854 remove cons 10506 ref cons nil cons cons 403 ref subst nil 83 ref 10846 ref 23 ref 10852 ref 10850 ref appTerm 10855 def appTerm 10503 ref appTerm 10856 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 10846 remove nil 77 ref 10856 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10855 ref nil cons 10857 def cons 10506 ref cons nil cons cons 10858 def 362 ref subst 10858 remove 412 ref subst 10855 ref betaConv 10855 remove assume eqMp nil 346 ref 10851 ref nil cons 10859 def cons 10506 ref cons nil cons cons 10860 def 403 ref subst proveHyp 10860 ref 362 ref subst 10860 remove 412 ref subst 415 ref 99 ref 1486 ref 1488 remove 131 ref appTerm 10861 def 10850 ref appTerm absTerm appTerm absTerm 10862 def 10766 ref appTerm betaConv sym 1486 ref 10847 remove 1487 ref appTerm 10863 def 131 ref appTerm 10850 ref appTerm absTerm 10864 def 135 ref appTerm betaConv sym 10851 ref assume 10865 def eqMp 93 ref 90 ref 10864 remove nil cons cons 1507 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 10862 ref nil cons cons 10839 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 10862 remove appTerm nil cons cons 347 ref 122 ref 123 ref 10850 ref appTerm appTerm 10866 def 131 ref appTerm 10867 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1443 ref 1477 ref 10850 ref nil cons 10868 def cons nil cons cons nil cons cons 8250 ref subst eqMp nil 10751 ref nil cons cons 10763 remove subst nil 346 ref 101 ref "cp'" 8 ref var 10869 def 263 remove 10716 ref appTerm 10870 def 10869 ref varTerm 10871 def appTerm 10872 def absTerm 10873 def appTerm 10874 def nil cons cons 10506 ref cons nil cons cons 403 ref subst nil 83 ref 10869 ref 23 ref 10873 ref 10871 ref appTerm 10875 def appTerm 10503 ref appTerm 10876 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 10869 remove nil 77 ref 10876 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10875 ref nil cons 10877 def cons 10506 ref cons nil cons cons 10878 def 362 ref subst 10878 remove 412 ref subst 10875 ref betaConv 10875 remove assume eqMp nil 346 ref 10872 ref nil cons 10879 def cons 10506 ref cons nil cons cons 10880 def 403 ref subst proveHyp 10880 ref 362 ref subst 10880 remove 412 ref subst 415 ref 24 ref 1674 remove 10871 ref appTerm appTerm 1206 remove appTerm absTerm 10881 def 10716 ref appTerm betaConv sym 1017 ref nil 77 ref 10879 ref cons nil cons nil cons cons 82 ref subst 10872 ref assume eqMp appThm 10882 def 1519 ref 10740 ref appThm 10732 ref appThm 10734 ref trans 10883 def appThm 1030 ref trans sym 81 ref eqMp eqMp 85 ref 83 ref 10881 ref nil cons cons 10751 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 10881 remove appTerm nil cons cons 347 ref 122 ref 123 ref 10871 ref appTerm 10884 def appTerm 136 ref appTerm 10885 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5498 remove 1477 ref 10871 ref nil cons 10886 def cons nil cons cons nil cons cons 10827 remove subst eqMp nil 1442 ref 10884 ref nil cons cons nil cons nil cons cons 5334 ref subst 839 ref 1519 ref 10885 ref assume 10887 def 1440 ref trans 10888 def appThm 2788 ref appThm 10830 remove trans appThm 3162 ref trans trans sym 81 ref eqMp nil 346 ref 3387 remove 10884 ref appTerm nil cons cons 347 ref 108 ref "cp0'" 1 ref var 10889 def 167 ref 10871 ref appTerm 10890 def 134 ref appTerm 10891 def 10889 ref varTerm 10892 def appTerm 10893 def absTerm 10894 def appTerm 10895 def nil cons 10896 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 6377 remove 415 ref 10886 remove cons nil cons 10897 def cons nil cons cons 1560 ref subst eqMp nil 346 ref 10896 remove cons 10506 ref cons nil cons cons 403 ref subst nil 5 ref 10889 ref 23 ref 10894 ref 10892 ref appTerm 10898 def appTerm 10503 ref appTerm 10899 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10889 remove nil 77 ref 10899 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10898 ref nil cons 10900 def cons 10506 ref cons nil cons cons 10901 def 362 ref subst 10901 remove 412 ref subst 10898 ref betaConv 10898 remove assume eqMp nil 346 ref 10893 ref nil cons 10902 def cons 10506 ref cons nil cons cons 10903 def 403 ref subst proveHyp 10903 ref 362 ref subst 10903 remove 412 ref subst 2012 ref 6889 remove appThm 10888 ref appThm 6888 remove 5566 ref subst trans sym 81 ref eqMp nil 346 ref 1612 ref 6885 remove appTerm 10884 ref appTerm nil cons cons 347 ref 101 ref "cp1'" 8 ref var 10904 def 174 ref 10871 ref appTerm 10905 def 134 ref appTerm 10906 def 131 ref appTerm 10907 def 10904 ref varTerm 10908 def appTerm 10909 def absTerm 10910 def appTerm 10911 def nil cons 10912 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1443 ref 6397 remove 10897 ref cons cons nil cons cons 7183 remove subst eqMp nil 346 ref 10912 remove cons 10506 ref cons nil cons cons 403 ref subst nil 83 ref 10904 ref 23 ref 10910 ref 10908 ref appTerm 10913 def appTerm 10503 ref appTerm 10914 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 10904 remove nil 77 ref 10914 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10913 ref nil cons 10915 def cons 10506 ref cons nil cons cons 10916 def 362 ref subst 10916 remove 412 ref subst 10913 ref betaConv 10913 remove assume eqMp nil 346 ref 10909 ref nil cons 10917 def cons 10506 ref cons nil cons cons 10918 def 403 ref subst proveHyp 10918 ref 362 ref subst 10918 remove 412 ref subst 415 ref 99 ref 1486 ref 10861 remove 10908 ref appTerm absTerm appTerm absTerm 10919 def 10871 ref appTerm betaConv sym 1486 ref 10905 remove 1487 ref appTerm 10920 def 131 ref appTerm 10908 ref appTerm absTerm 10921 def 134 ref appTerm betaConv sym 10909 ref assume 10922 def eqMp 93 ref 90 ref 10921 remove nil cons cons 1353 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 10919 ref nil cons cons 10897 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 10919 remove appTerm nil cons cons 347 ref 122 ref 123 ref 10908 ref appTerm 10923 def appTerm 131 ref appTerm 10924 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1443 ref 1477 ref 10908 ref nil cons 10925 def cons 10926 def nil cons cons nil cons cons 8250 remove subst eqMp 5994 ref 10888 remove appThm 10741 ref trans sym 81 ref eqMp nil 346 ref 5987 remove 10884 ref appTerm nil cons cons 347 ref 108 ref "cp2'" 1 ref var 10927 def 10890 ref 131 ref appTerm 10928 def 10927 ref varTerm 10929 def appTerm 10930 def absTerm 10931 def appTerm 10932 def nil cons 10933 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 10750 remove 10897 ref cons nil cons cons 1560 ref subst eqMp nil 346 ref 10933 remove cons 10506 ref cons nil cons cons 403 ref subst nil 5 ref 10927 ref 23 ref 10931 ref 10929 ref appTerm 10934 def appTerm 10503 ref appTerm 10935 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10927 remove nil 77 ref 10935 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10934 ref nil cons 10936 def cons 10506 ref cons nil cons cons 10937 def 362 ref subst 10937 remove 412 ref subst 10934 ref betaConv 10934 remove assume eqMp nil 346 ref 10930 ref nil cons 10938 def cons 10506 ref cons nil cons cons 10939 def 403 ref subst proveHyp 10939 ref 362 ref subst 10939 remove 412 ref subst nil 10448 ref nil cons cons 10940 def 404 ref 108 ref 677 ref 1790 remove absTerm appTerm absTerm 10941 def 684 ref appTerm 10942 def betaConv nil 14 ref 10941 ref appTerm 10943 def axiom nil 346 ref 10943 remove nil cons cons 347 ref 10942 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10941 remove nil cons cons 1817 ref cons nil cons cons 414 ref subst eqMp eqMp subst nil 346 ref 108 ref "dp'" 1 ref var 10944 def 270 ref 4051 ref appTerm 10945 def 10944 ref varTerm 10946 def appTerm 10947 def absTerm 10948 def appTerm 10949 def nil cons cons 10506 ref cons nil cons cons 403 ref subst nil 5 ref 10944 ref 23 ref 10948 ref 10946 ref appTerm 10950 def appTerm 10503 ref appTerm 10951 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10944 remove nil 77 ref 10951 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10950 ref nil cons 10952 def cons 10506 ref cons nil cons cons 10953 def 362 ref subst 10953 remove 412 ref subst 10950 ref betaConv 10950 remove assume eqMp nil 346 ref 10947 ref nil cons 10954 def cons 10506 ref cons nil cons cons 10955 def 403 ref subst proveHyp 10955 ref 362 ref subst 10955 remove 412 ref subst nil 404 ref 10834 ref nil cons cons nil cons 10956 def nil cons cons 10957 def 404 ref 108 ref 677 ref 216 ref 684 ref appTerm 678 ref appTerm 10958 def absTerm appTerm absTerm 10959 def 684 ref appTerm 10960 def betaConv nil 14 ref 10959 ref appTerm 10961 def axiom nil 346 ref 10961 remove nil cons cons 347 ref 10960 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10959 remove nil cons cons 1817 ref cons nil cons cons 414 ref subst eqMp eqMp subst nil 346 ref 108 ref "sq0'" 1 ref var 10962 def 216 remove 10834 ref appTerm 10963 def 10962 ref varTerm 10964 def appTerm 10965 def absTerm 10966 def appTerm 10967 def nil cons cons 10506 ref cons nil cons cons 403 ref subst nil 5 ref 10962 ref 23 ref 10966 ref 10964 ref appTerm 10968 def appTerm 10503 ref appTerm 10969 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10962 remove nil 77 ref 10969 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10968 ref nil cons 10970 def cons 10506 ref cons nil cons cons 10971 def 362 ref subst 10971 remove 412 ref subst 10968 ref betaConv 10968 remove assume eqMp nil 346 ref 10965 ref nil cons 10972 def cons 10973 def 10506 ref cons nil cons cons 10974 def 403 ref subst proveHyp 10974 ref 362 ref subst 10974 remove 412 ref subst 10957 remove 404 ref 108 ref 677 ref 686 remove absTerm appTerm absTerm 10975 def 684 ref appTerm 10976 def betaConv nil 14 ref 10975 ref appTerm 10977 def axiom nil 346 ref 10977 remove nil cons cons 347 ref 10976 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10975 remove nil cons cons 1817 ref cons nil cons cons 414 ref subst eqMp eqMp subst nil 346 ref 108 ref "cq0'" 1 ref var 10978 def 260 ref 10834 ref appTerm 10979 def 10978 ref varTerm 10980 def appTerm 10981 def absTerm 10982 def appTerm 10983 def nil cons cons 10506 ref cons nil cons cons 403 ref subst nil 5 ref 10978 ref 23 ref 10982 ref 10980 ref appTerm 10984 def appTerm 10503 ref appTerm 10985 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10978 remove nil 77 ref 10985 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 10984 ref nil cons 10986 def cons 10506 ref cons nil cons cons 10987 def 362 ref subst 10987 remove 412 ref subst 10984 ref betaConv 10984 remove assume eqMp nil 346 ref 10981 ref nil cons 10988 def cons 10989 def 10506 ref cons nil cons cons 10990 def 403 ref subst proveHyp 10990 ref 362 ref subst 10990 remove 412 ref subst 1519 ref 10867 ref assume appThm 10991 def 10924 remove assume appThm 10610 ref trans sym 81 ref eqMp nil 346 ref 10866 remove 10923 remove appTerm nil cons cons 347 ref 101 ref "sq1'" 8 ref var 10992 def 101 ref "cq1'" 8 ref var 10993 def 223 remove 10850 ref appTerm 10994 def 10908 ref appTerm 10995 def 10992 ref varTerm 10996 def appTerm 10997 def 10993 ref varTerm 10998 def appTerm 10999 def absTerm 11000 def appTerm 11001 def absTerm 11002 def appTerm 11003 def nil cons 11004 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 10926 remove 415 ref 10868 remove cons nil cons 11005 def cons nil cons cons 1477 ref 23 ref 1079 remove 4166 ref appTerm appTerm 101 ref 6583 ref 101 ref 6577 ref 6595 remove absTerm appTerm absTerm appTerm appTerm absTerm 11006 def 1478 ref appTerm 11007 def betaConv 415 ref 11 ref 11006 ref appTerm 11008 def absTerm 11009 def 857 ref appTerm 11010 def betaConv nil 11 ref 11009 ref appTerm 11011 def axiom nil 346 ref 11011 remove nil cons cons 347 ref 11010 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11009 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11008 remove nil cons cons 347 ref 11007 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11006 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp nil 346 ref 11004 remove cons 10506 ref cons nil cons cons 403 ref subst nil 83 ref 10992 ref 23 ref 11002 ref 10996 ref appTerm 11012 def appTerm 10503 ref appTerm 11013 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 10992 remove nil 77 ref 11013 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11012 ref nil cons 11014 def cons 10506 ref cons nil cons cons 11015 def 362 ref subst 11015 remove 412 ref subst 11012 ref betaConv 11012 remove assume eqMp nil 346 ref 11001 ref nil cons cons 10506 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 10993 ref 23 ref 11000 ref 10998 ref appTerm 11016 def appTerm 10503 ref appTerm 11017 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 10993 remove nil 77 ref 11017 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11016 ref nil cons 11018 def cons 10506 ref cons nil cons cons 11019 def 362 ref subst 11019 remove 412 ref subst 11016 ref betaConv 11016 remove assume eqMp nil 346 ref 10999 ref nil cons 11020 def cons 10506 ref cons nil cons cons 11021 def 403 ref subst proveHyp 11021 ref 362 ref subst 11021 remove 412 ref subst 415 ref 101 ref 1477 ref 101 ref 6577 ref 24 ref 6593 remove 10996 ref appTerm 6578 ref appTerm appTerm 10604 ref appTerm absTerm appTerm absTerm appTerm absTerm 11022 def 10850 ref appTerm betaConv sym 1477 ref 101 ref 6577 ref 24 ref 10994 ref 1478 ref appTerm 11023 def 10996 ref appTerm 6578 ref appTerm appTerm 10867 ref appTerm absTerm appTerm absTerm 11024 def 10908 ref appTerm betaConv sym 6577 ref 24 ref 10997 ref 6578 ref appTerm 11025 def appTerm 10867 ref appTerm absTerm 11026 def 10998 ref appTerm betaConv sym 1017 ref nil 77 ref 11020 ref cons nil cons nil cons cons 82 ref subst 10999 ref assume eqMp 11027 def appThm 11028 def 10991 remove 6392 remove appThm 10610 remove trans appThm 1030 ref trans sym 81 ref eqMp 11029 def eqMp 85 ref 83 ref 11026 remove nil cons cons 415 ref 10998 ref nil cons 11030 def cons 11031 def nil cons 11032 def cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11024 remove nil cons cons 415 ref 10925 remove cons nil cons 11033 def cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11022 ref nil cons cons 11005 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 11022 remove appTerm nil cons cons 347 ref 122 ref 123 ref 10996 ref appTerm 11034 def appTerm 131 ref appTerm 11035 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1443 ref 6583 ref 10996 ref nil cons 11036 def cons nil cons cons nil cons cons 1442 ref 23 ref 101 ref 415 ref 101 ref 1477 ref 101 ref 6577 ref 9595 remove 4159 ref appTerm 11037 def absTerm 11038 def appTerm 11039 def absTerm 11040 def appTerm 11041 def absTerm 11042 def appTerm 11043 def appTerm 11044 def 122 ref 123 ref 6584 ref appTerm appTerm 1447 ref appTerm 11045 def appTerm 11046 def absTerm 11047 def 1447 ref appTerm 11048 def betaConv 6583 ref 19 ref 11047 ref appTerm 11049 def absTerm 11050 def 6584 ref appTerm 11051 def betaConv nil 11 ref 415 ref 11 ref 1477 ref 11 ref 6583 ref 11 ref 6577 ref 19 ref 1442 ref 23 ref 11037 ref appTerm 11052 def 11045 ref appTerm absTerm 11053 def appTerm 11054 def absTerm 11055 def appTerm 11056 def absTerm 11057 def appTerm 11058 def absTerm 11059 def appTerm 11060 def absTerm 11061 def appTerm 11062 def axiom nil 346 ref 11062 ref nil cons 11063 def cons 11064 def 347 ref 11 ref 11050 ref appTerm nil cons 11065 def cons nil cons cons nil cons cons 11066 def 403 ref subst proveHyp 11066 ref 362 ref subst 11066 remove 412 ref subst nil 83 ref 11050 remove nil cons cons 11067 def nil cons nil cons cons 87 ref subst 6583 ref nil 77 ref 11049 remove nil cons 11068 def cons nil cons nil cons cons 82 ref subst nil 90 ref 11047 remove nil cons cons 11069 def nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 11046 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11043 remove nil cons 11070 def cons 11071 def 347 ref 11045 ref nil cons 11072 def cons nil cons 11073 def cons nil cons cons 11074 def 362 ref subst 11074 remove 412 ref subst nil 11064 ref 11073 ref cons nil cons cons 11075 def 403 ref subst nil 11071 remove 347 ref 23 ref 11062 remove appTerm 11045 remove appTerm 11076 def nil cons 11077 def cons nil cons 11078 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 11042 ref 857 ref appTerm 11079 def appTerm 11076 ref appTerm 11080 def absTerm 11081 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 11080 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11079 ref nil cons 11082 def cons 11078 ref cons nil cons cons 11083 def 362 ref subst 11083 remove 412 ref subst 11079 ref betaConv 11079 remove assume eqMp nil 346 ref 11041 ref nil cons cons 11078 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1477 ref 23 ref 11040 ref 1478 ref appTerm 11084 def appTerm 11076 ref appTerm 11085 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 11085 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11084 ref nil cons 11086 def cons 11078 ref cons nil cons cons 11087 def 362 ref subst 11087 remove 412 ref subst 11084 ref betaConv 11084 remove assume eqMp nil 346 ref 11039 ref nil cons cons 11078 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 6577 ref 23 ref 11038 ref 6578 ref appTerm 11088 def appTerm 11076 ref appTerm 11089 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 6577 ref nil 77 ref 11089 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11088 ref nil cons 11090 def cons 11078 ref cons nil cons cons 11091 def 362 ref subst 11091 remove 412 ref subst 11088 ref betaConv 11088 remove assume eqMp nil 346 ref 11037 ref nil cons 11092 def cons 11093 def 11078 remove cons nil cons cons 11094 def 403 ref subst proveHyp 11094 ref 362 ref subst 11094 remove 412 ref subst 11075 ref 362 ref subst 11075 remove 412 ref subst nil 11093 ref 11073 remove cons nil cons cons 403 ref subst 11053 ref 1447 ref appTerm 11095 def betaConv 11055 ref 6578 ref appTerm 11096 def betaConv 11057 ref 6584 ref appTerm 11097 def betaConv 11059 ref 1478 ref appTerm 11098 def betaConv 11061 ref 857 ref appTerm 11099 def betaConv nil 11064 remove 347 ref 11099 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 83 ref 11061 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11060 remove nil cons cons 347 ref 11098 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11059 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11058 remove nil cons cons 347 ref 11097 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11057 remove nil cons cons 8855 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11056 remove nil cons cons 347 ref 11096 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11055 remove nil cons cons 8856 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11054 remove nil cons cons 347 ref 11095 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11053 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 11063 remove cons 11100 def 381 ref 11072 remove cons nil cons 11101 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 11092 remove cons 11102 def 381 ref 11077 remove cons nil cons 11103 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11090 remove cons 11103 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 11038 ref 1788 ref appTerm appTerm 11076 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11039 remove appTerm 11076 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11038 remove nil cons cons 11103 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 11086 remove cons 11103 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 11040 ref 1788 ref appTerm appTerm 11076 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11041 remove appTerm 11076 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11040 remove nil cons cons 11103 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 11082 remove cons 11103 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 11081 remove appTerm nil cons cons 347 ref 11044 remove 11076 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11042 remove nil cons cons 11103 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 11070 remove cons 11101 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 11100 remove 381 ref 11065 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 11065 remove cons 347 ref 11051 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 11067 remove 8855 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11068 remove cons 347 ref 11048 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 11069 remove 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp 415 ref 101 ref 1477 ref 101 ref 6583 ref 24 ref 6594 remove 10998 ref appTerm appTerm 10604 remove appTerm absTerm appTerm absTerm appTerm absTerm 11104 def 10850 ref appTerm betaConv sym 1477 ref 101 ref 6583 ref 24 ref 11023 remove 6584 ref appTerm 11105 def 10998 ref appTerm appTerm 10867 ref appTerm absTerm appTerm absTerm 11106 def 10908 ref appTerm betaConv sym 6583 ref 24 ref 10995 ref 6584 ref appTerm 11107 def 10998 ref appTerm appTerm 10867 remove appTerm absTerm 11108 def 10996 ref appTerm betaConv sym 11029 remove eqMp 85 ref 83 ref 11108 remove nil cons cons 415 ref 11036 ref cons 11109 def nil cons 11110 def cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11106 remove nil cons cons 11033 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11104 ref nil cons cons 11005 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 11104 remove appTerm nil cons cons 347 ref 122 ref 123 ref 10998 ref appTerm 11111 def appTerm 131 ref appTerm 11112 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1443 ref 6577 ref 11030 ref cons nil cons cons nil cons cons 1442 ref 23 ref 101 ref 415 ref 101 ref 1477 ref 101 ref 6583 ref 11037 remove absTerm 11113 def appTerm 11114 def absTerm 11115 def appTerm 11116 def absTerm 11117 def appTerm 11118 def appTerm 11119 def 122 ref 123 ref 6578 ref appTerm appTerm 1447 ref appTerm 11120 def appTerm 11121 def absTerm 11122 def 1447 ref appTerm 11123 def betaConv 6577 ref 19 ref 11122 ref appTerm 11124 def absTerm 11125 def 6578 ref appTerm 11126 def betaConv nil 11 ref 415 ref 11 ref 1477 ref 11 ref 6583 ref 11 ref 6577 ref 19 ref 1442 ref 11052 remove 11120 ref appTerm absTerm 11127 def appTerm 11128 def absTerm 11129 def appTerm 11130 def absTerm 11131 def appTerm 11132 def absTerm 11133 def appTerm 11134 def absTerm 11135 def appTerm 11136 def axiom nil 346 ref 11136 ref nil cons 11137 def cons 11138 def 347 ref 11 ref 11125 ref appTerm nil cons 11139 def cons nil cons cons nil cons cons 11140 def 403 ref subst proveHyp 11140 ref 362 ref subst 11140 remove 412 ref subst nil 83 ref 11125 remove nil cons cons 11141 def nil cons nil cons cons 87 ref subst 6577 ref nil 77 ref 11124 remove nil cons 11142 def cons nil cons nil cons cons 82 ref subst nil 90 ref 11122 remove nil cons cons 11143 def nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 11121 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11118 remove nil cons 11144 def cons 11145 def 347 ref 11120 ref nil cons 11146 def cons nil cons 11147 def cons nil cons cons 11148 def 362 ref subst 11148 remove 412 ref subst nil 11138 ref 11147 ref cons nil cons cons 11149 def 403 ref subst nil 11145 remove 347 ref 23 ref 11136 remove appTerm 11120 remove appTerm 11150 def nil cons 11151 def cons nil cons 11152 def cons nil cons cons 403 ref subst nil 83 ref 415 ref 23 ref 11117 ref 857 ref appTerm 11153 def appTerm 11150 ref appTerm 11154 def absTerm 11155 def nil cons cons nil cons nil cons cons 87 ref subst 415 ref nil 77 ref 11154 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11153 ref nil cons 11156 def cons 11152 ref cons nil cons cons 11157 def 362 ref subst 11157 remove 412 ref subst 11153 ref betaConv 11153 remove assume eqMp nil 346 ref 11116 ref nil cons cons 11152 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 1477 ref 23 ref 11115 ref 1478 ref appTerm 11158 def appTerm 11150 ref appTerm 11159 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 1477 ref nil 77 ref 11159 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11158 ref nil cons 11160 def cons 11152 ref cons nil cons cons 11161 def 362 ref subst 11161 remove 412 ref subst 11158 ref betaConv 11158 remove assume eqMp nil 346 ref 11114 ref nil cons cons 11152 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 6583 ref 23 ref 11113 ref 6584 ref appTerm 11162 def appTerm 11150 ref appTerm 11163 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 6583 ref nil 77 ref 11163 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11162 ref nil cons 11164 def cons 11152 ref cons nil cons cons 11165 def 362 ref subst 11165 remove 412 ref subst 11162 ref betaConv 11162 remove assume eqMp nil 11093 ref 11152 remove cons nil cons cons 11166 def 403 ref subst proveHyp 11166 ref 362 ref subst 11166 remove 412 ref subst 11149 ref 362 ref subst 11149 remove 412 ref subst nil 11093 remove 11147 remove cons nil cons cons 403 ref subst 11127 ref 1447 ref appTerm 11167 def betaConv 11129 ref 6578 ref appTerm 11168 def betaConv 11131 ref 6584 ref appTerm 11169 def betaConv 11133 ref 1478 ref appTerm 11170 def betaConv 11135 ref 857 ref appTerm 11171 def betaConv nil 11138 remove 347 ref 11171 remove nil cons cons nil cons cons nil cons cons 403 ref subst 85 ref 83 ref 11135 remove nil cons cons 1151 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11134 remove nil cons cons 347 ref 11170 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11133 remove nil cons cons 1782 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11132 remove nil cons cons 347 ref 11169 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11131 remove nil cons cons 8855 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11130 remove nil cons cons 347 ref 11168 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11129 remove nil cons cons 8856 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11128 remove nil cons cons 347 ref 11167 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11127 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 11137 remove cons 11172 def 381 ref 11146 remove cons nil cons 11173 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 11102 remove 381 ref 11151 remove cons nil cons 11174 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11164 remove cons 11174 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 ref 23 ref 11113 ref 1788 ref appTerm appTerm 11150 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11114 remove appTerm 11150 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11113 remove nil cons cons 11174 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 11160 remove cons 11174 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 1787 remove 23 ref 11115 ref 1788 remove appTerm appTerm 11150 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11116 remove appTerm 11150 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11115 remove nil cons cons 11174 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 11156 remove cons 11174 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 11155 remove appTerm nil cons cons 347 ref 11119 remove 11150 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11117 remove nil cons cons 11174 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 11144 remove cons 11173 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 11172 remove 381 ref 11139 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 11139 remove cons 347 ref 11126 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 11141 remove 8856 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11142 remove cons 347 ref 11123 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 11143 remove 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp nil 10616 ref 4277 ref 4278 ref 10964 ref appTerm 11175 def appTerm 11176 def 10996 ref appTerm 11177 def nil cons cons nil cons nil cons cons 10620 ref subst nil 346 ref 101 ref "sq'" 8 ref var 11178 def 4287 ref 11177 ref appTerm 11178 ref varTerm 11179 def appTerm 11180 def absTerm 11181 def appTerm 11182 def nil cons cons 10506 ref cons nil cons cons 403 ref subst nil 83 ref 11178 ref 23 ref 11181 ref 11179 ref appTerm 11183 def appTerm 10503 ref appTerm 11184 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 11178 remove nil 77 ref 11184 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11183 ref nil cons 11185 def cons 10506 ref cons nil cons cons 11186 def 362 ref subst 11186 remove 412 ref subst 11183 ref betaConv 11183 remove assume eqMp nil 346 ref 11180 ref nil cons 11187 def cons 10506 ref cons nil cons cons 11188 def 403 ref subst proveHyp 11188 ref 362 ref subst 11188 remove 412 ref subst 122 ref 123 ref 11179 ref appTerm appTerm 11189 def refl 6373 ref appThm sym 56 ref "_34641" 8 ref var 11190 def 122 ref 123 ref 11190 remove varTerm appTerm appTerm 6371 ref appTerm absTerm 11191 def 11179 ref appTerm 11192 def appTerm refl 11191 remove 11177 ref appTerm betaConv appThm 383 ref 11192 remove betaConv appThm 122 ref 123 ref 11177 ref appTerm appTerm 6371 ref appTerm refl appThm trans 10637 ref 11180 remove assume sym 11193 def appThm eqMp sym nil 1477 ref 11036 remove cons 415 ref 11175 ref nil cons cons nil cons 11194 def cons nil cons cons 10646 ref subst 2897 ref nil 1054 ref 10964 ref nil cons 11195 def cons nil cons 11196 def nil cons cons 10652 ref subst 11197 def appThm 11035 remove assume 11198 def appThm trans eqMp eqMp 56 ref "_34775" 8 ref var 11199 def 167 ref 11199 remove varTerm appTerm 134 ref appTerm 10964 ref appTerm absTerm 11200 def 11179 ref appTerm 11201 def appTerm refl 11200 ref 11177 ref appTerm betaConv appThm 383 ref 11201 remove betaConv appThm 167 ref 11177 ref appTerm 134 ref appTerm 10964 ref appTerm refl appThm trans 11200 remove refl 11193 ref appThm eqMp sym nil 10658 ref 11195 ref cons 11109 remove 11196 remove cons cons nil cons cons 10670 ref subst nil 404 ref 11195 ref cons nil cons 11202 def nil cons cons 7503 ref subst trans sym 81 ref eqMp eqMp 56 ref "_34911" 8 ref var 11203 def 174 ref 11203 remove varTerm appTerm 135 ref appTerm 131 ref appTerm 10996 ref appTerm absTerm 11204 def 11179 ref appTerm 11205 def appTerm refl 11204 ref 11177 ref appTerm betaConv appThm 383 ref 11205 remove betaConv appThm 174 ref 11177 remove appTerm 11206 def 135 ref appTerm 131 ref appTerm 10996 ref appTerm 11207 def refl 11208 def appThm trans 11204 remove refl 11193 remove appThm eqMp sym 5396 ref 56 ref 11206 ref 123 ref 11175 ref appTerm 11209 def appTerm 11034 remove appTerm 11210 def 5397 ref appTerm appTerm 10680 ref 10996 ref appTerm appTerm absTerm 11211 def 10996 ref appTerm 11212 def betaConv 1477 ref 11 ref 5396 ref 56 ref 174 ref 11176 remove 1478 ref appTerm appTerm 11209 remove appTerm 4166 ref appTerm 5397 ref appTerm appTerm 10683 ref appTerm absTerm appTerm absTerm 11213 def 10996 ref appTerm 11214 def betaConv 10686 ref 11175 remove appTerm 11215 def betaConv 10689 ref nil 10690 ref 347 ref 11215 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 10691 ref 11194 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11213 ref appTerm nil cons cons 347 ref 11214 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11213 remove nil cons cons 11110 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11211 ref appTerm nil cons cons 347 ref 11212 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11211 remove nil cons cons 11110 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 56 ref 11210 remove 10996 ref appTerm appTerm 4287 ref 10996 ref appTerm 10996 ref appTerm appTerm nil cons cons 347 ref 11207 remove nil cons 11216 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 383 ref 11206 remove refl 11197 remove appThm 11198 remove appThm 10996 ref refl appThm appThm nil 11110 ref nil cons cons 7230 ref subst appThm nil 77 ref 11216 remove cons nil cons nil cons cons 11217 def 1539 ref subst trans appThm 11208 remove appThm 11217 remove 851 ref subst trans sym 81 ref eqMp eqMp eqMp nil 10616 remove 4277 remove 4278 remove 10980 ref appTerm 11218 def appTerm 11219 def 10998 ref appTerm 11220 def nil cons cons nil cons nil cons cons 10620 remove subst nil 346 ref 101 ref "cq'" 8 ref var 11221 def 4287 ref 11220 ref appTerm 11221 ref varTerm 11222 def appTerm 11223 def absTerm 11224 def appTerm 11225 def nil cons cons 10506 ref cons nil cons cons 403 ref subst nil 83 ref 11221 ref 23 ref 11224 ref 11222 ref appTerm 11226 def appTerm 10503 ref appTerm 11227 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 11221 remove nil 77 ref 11227 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11226 ref nil cons 11228 def cons 10506 ref cons nil cons cons 11229 def 362 ref subst 11229 remove 412 ref subst 11226 ref betaConv 11226 remove assume eqMp nil 346 ref 11223 ref nil cons 11230 def cons 10506 ref cons nil cons cons 11231 def 403 ref subst proveHyp 11231 ref 362 ref subst 11231 remove 412 ref subst 122 ref 123 ref 11222 ref appTerm appTerm 11232 def refl 6373 remove appThm sym 56 ref "_35049" 8 ref var 11233 def 122 ref 123 ref 11233 remove varTerm appTerm appTerm 6371 ref appTerm absTerm 11234 def 11222 ref appTerm 11235 def appTerm refl 11234 remove 11220 ref appTerm betaConv appThm 383 ref 11235 remove betaConv appThm 122 ref 123 ref 11220 ref appTerm appTerm 6371 remove appTerm refl appThm trans 10637 remove 11223 remove assume sym 11236 def appThm eqMp sym nil 1477 ref 11030 remove cons 415 ref 11218 ref nil cons cons nil cons 11237 def cons nil cons cons 10646 remove subst 2897 remove nil 1054 ref 10980 ref nil cons 11238 def cons nil cons 11239 def nil cons cons 10652 remove subst 11240 def appThm 11112 remove assume 11241 def appThm trans eqMp eqMp 56 ref "_35191" 8 ref var 11242 def 167 ref 11242 remove varTerm appTerm 134 ref appTerm 10980 ref appTerm absTerm 11243 def 11222 ref appTerm 11244 def appTerm refl 11243 ref 11220 ref appTerm betaConv appThm 383 ref 11244 remove betaConv appThm 167 ref 11220 ref appTerm 134 ref appTerm 10980 ref appTerm refl appThm trans 11243 remove refl 11236 ref appThm eqMp sym nil 10658 remove 11238 ref cons 11031 remove 11239 remove cons cons nil cons cons 10670 remove subst nil 404 ref 11238 ref cons nil cons 11245 def nil cons cons 7503 remove subst trans sym 81 ref eqMp eqMp 56 ref "_35335" 8 remove var 11246 def 174 ref 11246 remove varTerm appTerm 135 ref appTerm 131 ref appTerm 10998 ref appTerm absTerm 11247 def 11222 ref appTerm 11248 def appTerm refl 11247 ref 11220 ref appTerm betaConv appThm 383 ref 11248 remove betaConv appThm 174 ref 11220 remove appTerm 11249 def 135 ref appTerm 131 ref appTerm 10998 ref appTerm 11250 def refl 11251 def appThm trans 11247 remove refl 11236 remove appThm eqMp sym 5396 ref 56 ref 11249 ref 123 ref 11218 ref appTerm 11252 def appTerm 11111 remove appTerm 11253 def 5397 ref appTerm appTerm 10680 remove 10998 ref appTerm appTerm absTerm 11254 def 10998 ref appTerm 11255 def betaConv 1477 ref 11 ref 5396 ref 56 ref 174 ref 11219 remove 1478 ref appTerm appTerm 11252 remove appTerm 4166 remove appTerm 5397 ref appTerm appTerm 10683 remove appTerm absTerm appTerm absTerm 11256 def 10998 ref appTerm 11257 def betaConv 10686 remove 11218 remove appTerm 11258 def betaConv 10689 remove nil 10690 remove 347 ref 11258 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 10691 remove 11237 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11256 ref appTerm nil cons cons 347 ref 11257 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11256 remove nil cons cons 11032 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11254 ref appTerm nil cons cons 347 ref 11255 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11254 remove nil cons cons 11032 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 56 ref 11253 remove 10998 ref appTerm appTerm 4287 remove 10998 ref appTerm 10998 ref appTerm appTerm nil cons cons 347 ref 11250 remove nil cons 11259 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 383 ref 11249 remove refl 11240 remove appThm 11241 remove appThm 10998 ref refl appThm appThm nil 11032 ref nil cons cons 7230 remove subst appThm nil 77 ref 11259 remove cons nil cons nil cons cons 11260 def 1539 ref subst trans appThm 11251 remove appThm 11260 remove 851 ref subst trans sym 81 ref eqMp eqMp eqMp nil 677 ref 10929 ref nil cons 11261 def cons 404 ref 10946 ref nil cons cons nil cons 11262 def cons nil cons cons 677 ref 108 ref 718 ref 6068 remove absTerm appTerm absTerm 11263 def 678 ref appTerm 11264 def betaConv 404 ref 14 ref 11263 ref appTerm 11265 def absTerm 11266 def 684 ref appTerm 11267 def betaConv nil 14 ref 11266 ref appTerm 11268 def axiom nil 346 ref 11268 remove nil cons cons 347 ref 11267 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11266 remove nil cons cons 1817 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11265 remove nil cons cons 347 ref 11264 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11263 remove nil cons cons 1818 ref cons nil cons cons 414 ref subst eqMp eqMp subst nil 346 ref 108 ref "dq'" 1 ref var 11269 def 230 remove 10946 ref appTerm 11270 def 10929 ref appTerm 11271 def 11269 ref varTerm 11272 def appTerm 11273 def absTerm 11274 def appTerm 11275 def nil cons cons 10506 ref cons nil cons cons 403 ref subst nil 5 ref 11269 ref 23 ref 11274 ref 11272 ref appTerm 11276 def appTerm 10503 ref appTerm 11277 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 11269 remove nil 77 ref 11277 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11276 ref nil cons 11278 def cons 10506 ref cons nil cons cons 11279 def 362 ref subst 11279 remove 412 ref subst 11276 ref betaConv 11276 remove assume eqMp nil 346 ref 11273 ref nil cons 11280 def cons 10506 remove cons nil cons cons 11281 def 403 ref subst proveHyp 11281 ref 362 ref subst 11281 remove 412 ref subst 10502 ref 131 ref appTerm betaConv sym 10501 ref 10766 ref appTerm betaConv sym 103 ref 101 ref 104 ref 101 ref 105 ref 101 ref 106 ref 101 ref 107 ref 108 ref 109 ref 108 ref 110 ref 108 ref 111 ref 108 ref 4630 ref 101 ref 4631 ref 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 24 ref 10782 remove appTerm 11282 def 147 remove 4637 ref 156 ref 4639 ref 165 ref 24 ref 10833 ref 4641 remove appTerm appTerm 11283 def 24 ref 10849 ref 4646 remove appTerm appTerm 11284 def 4652 ref 4657 ref 184 remove 190 remove 194 remove 198 ref 204 ref 10489 ref 10491 ref 4672 ref 236 ref 10494 ref 10496 ref 10499 ref 10500 ref 24 ref 264 remove 10766 ref appTerm appTerm 11285 def 273 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11286 def 10871 ref appTerm betaConv sym 104 ref 101 ref 105 ref 101 ref 106 ref 101 ref 107 ref 108 ref 109 ref 108 ref 110 ref 108 ref 111 ref 108 ref 4630 ref 101 ref 4631 ref 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 24 ref 10885 remove appTerm 11287 def 4637 remove 156 ref 4639 ref 165 ref 11283 ref 11284 ref 4652 remove 4657 remove 24 ref 10891 remove 182 ref appTerm appTerm 11288 def 24 ref 10907 ref 188 ref appTerm appTerm 11289 def 24 ref 10928 ref 192 ref appTerm appTerm 11290 def 198 ref 204 ref 10489 ref 10491 ref 4672 ref 236 ref 10494 remove 10496 remove 10499 ref 10500 ref 11285 remove 24 ref 267 remove 10871 ref appTerm appTerm 272 ref appTerm 11291 def appTerm appTerm appTerm 11292 def appTerm 11293 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11294 def 11179 ref appTerm betaConv sym 105 ref 101 ref 106 ref 101 ref 107 ref 108 ref 109 ref 108 ref 110 ref 108 ref 111 ref 108 ref 4630 ref 101 ref 4631 ref 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 24 ref 11189 ref 136 ref appTerm 11295 def appTerm 11296 def 156 remove 4639 ref 165 ref 11283 ref 11284 ref 24 ref 167 ref 11179 ref appTerm 11297 def 134 ref appTerm 11298 def 4650 ref appTerm appTerm 11299 def 24 ref 174 ref 11179 ref appTerm 11300 def 135 ref appTerm 11301 def 131 ref appTerm 11302 def 4655 ref appTerm appTerm 11303 def 11288 ref 11289 ref 11290 ref 198 remove 204 remove 10489 ref 10491 ref 4672 ref 236 ref 24 ref 10493 remove 11179 ref appTerm 11304 def 157 ref appTerm appTerm 11305 def 11293 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11306 def 11222 ref appTerm betaConv sym 106 ref 101 ref 107 ref 108 ref 109 ref 108 ref 110 ref 108 ref 111 ref 108 ref 4630 ref 101 ref 4631 ref 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 24 ref 11232 ref 136 ref appTerm 11307 def appTerm 11308 def 4639 remove 165 ref 11283 ref 11284 ref 11299 ref 11303 ref 11288 ref 11289 ref 11290 ref 24 ref 167 ref 11222 ref appTerm 11309 def 134 ref appTerm 11310 def 196 ref appTerm appTerm 11311 def 24 ref 174 ref 11222 ref appTerm 11312 def 135 ref appTerm 11313 def 131 ref appTerm 11314 def 202 ref appTerm appTerm 11315 def 10489 ref 10491 ref 4672 ref 236 ref 11305 remove 24 ref 10495 remove 11222 ref appTerm 11316 def 161 ref appTerm appTerm 11317 def 11292 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11318 def 10622 ref appTerm betaConv sym 107 ref 108 ref 109 ref 108 ref 110 ref 108 ref 111 ref 108 ref 4630 ref 101 ref 4631 ref 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 24 ref 10778 remove appTerm 11319 def 165 remove 11283 ref 11284 ref 11299 ref 11303 ref 11288 ref 11289 ref 11290 ref 11311 ref 11315 ref 10489 ref 10491 ref 4672 ref 236 ref 24 ref 11304 remove 10622 ref appTerm 11320 def appTerm 11321 def 11317 remove 10499 ref 10500 ref 24 ref 10767 remove appTerm 11322 def 11291 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11323 def 10716 ref appTerm betaConv sym 109 ref 108 ref 110 ref 108 ref 111 ref 108 ref 4630 ref 101 ref 4631 ref 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 24 ref 10738 remove appTerm 11324 def 11283 ref 11284 ref 11299 ref 11303 ref 11288 ref 11289 ref 11290 ref 11311 ref 11315 ref 10489 ref 10491 ref 4672 ref 236 remove 11321 ref 24 ref 11316 remove 10716 ref appTerm 11325 def appTerm 11326 def 10499 ref 10500 ref 11322 ref 24 ref 10872 remove appTerm 11327 def 272 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11328 def 10946 ref appTerm betaConv sym 110 ref 108 ref 111 ref 108 ref 4630 ref 101 ref 4631 ref 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 11324 ref 11283 ref 11284 ref 11299 ref 11303 ref 11288 ref 11289 ref 11290 ref 11311 ref 11315 ref 10489 ref 10491 ref 4672 ref 24 ref 11270 ref 192 ref appTerm 11329 def 234 remove appTerm appTerm 11321 ref 11326 ref 10499 remove 10500 remove 11322 ref 11327 ref 271 remove 10946 ref appTerm appTerm appTerm appTerm 11330 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11331 def 11272 ref appTerm betaConv sym 111 ref 108 ref 4630 ref 101 ref 4631 ref 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 11324 ref 11283 ref 11284 ref 11299 ref 11303 ref 11288 ref 11289 ref 11290 ref 11311 ref 11315 ref 10489 ref 10491 ref 4672 ref 24 ref 11329 remove 11272 ref appTerm appTerm 11332 def 11321 ref 11326 ref 24 ref 10498 ref 11272 ref appTerm 11333 def 258 remove appTerm appTerm 11330 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11334 def 4051 ref appTerm betaConv sym 4630 remove 101 ref 4631 ref 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 11324 ref 11283 remove 11284 ref 11299 ref 11303 ref 11288 ref 11289 ref 11290 ref 11311 ref 11315 ref 10489 remove 10491 remove 4672 remove 11332 remove 11321 ref 11326 ref 24 ref 11333 remove 4051 ref appTerm 11335 def appTerm 11336 def 24 ref 260 remove 4051 ref appTerm 4051 ref appTerm appTerm 11322 ref 11327 ref 10947 ref appTerm appTerm appTerm appTerm appTerm appTerm 11337 def appTerm 11338 def appTerm 11339 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11340 def 10834 ref appTerm betaConv sym 4631 remove 108 ref 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 11324 ref 24 ref 10835 ref appTerm 11341 def 11284 remove 11299 ref 11303 ref 11288 ref 11289 ref 11290 ref 11311 ref 11315 ref 24 ref 10488 ref 10834 ref appTerm 11342 def 4650 remove appTerm appTerm 11343 def 24 ref 10490 ref 10834 ref appTerm 11344 def 196 ref appTerm appTerm 11345 def 11339 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11346 def 10850 ref appTerm betaConv sym 114 ref 101 ref 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 11324 ref 11341 ref 24 ref 10851 ref appTerm 11347 def 11299 ref 11303 ref 11288 remove 11289 remove 11290 ref 11311 ref 11315 ref 11343 ref 11345 ref 24 ref 10994 remove 188 ref appTerm 4655 ref appTerm 202 ref appTerm appTerm 11338 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm 11348 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11349 def 10892 ref appTerm betaConv sym 115 ref 108 ref 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 11324 ref 11341 ref 11347 ref 11299 ref 11303 ref 24 ref 10893 ref appTerm 11350 def 11348 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11351 def 10908 ref appTerm betaConv sym 116 ref 108 ref 4632 ref 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 11324 ref 11341 ref 11347 ref 11299 ref 11303 ref 11350 ref 24 ref 10909 ref appTerm 11352 def 11290 remove 11311 ref 11315 ref 11343 ref 11345 ref 24 ref 10995 remove 4655 remove appTerm 202 ref appTerm appTerm 11353 def 11338 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11354 def 10929 ref appTerm betaConv sym 4632 remove 101 ref 4633 ref 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 11324 ref 11341 ref 11347 ref 11299 remove 11303 ref 11350 ref 11352 ref 24 ref 10930 ref appTerm 11355 def 11311 ref 11315 ref 11343 remove 11345 ref 11353 remove 24 ref 11273 ref appTerm 11337 remove appTerm 11356 def appTerm appTerm 11357 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11358 def 10964 ref appTerm betaConv sym 4633 remove 108 ref 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 11324 ref 11341 ref 11347 ref 24 ref 11298 ref 10964 ref appTerm 11359 def appTerm 11360 def 11303 remove 11350 ref 11352 ref 11355 ref 11311 ref 11315 ref 24 ref 11342 remove 10964 ref appTerm 11361 def appTerm 11362 def 11357 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 11363 def 10996 ref appTerm betaConv sym 117 ref 101 ref 118 ref 10487 ref 11282 ref 11287 ref 11296 ref 11308 ref 11319 ref 11324 ref 11341 ref 11347 ref 11360 ref 24 ref 11302 ref 10996 ref appTerm 11364 def appTerm 11365 def 11350 ref 11352 ref 11355 ref 11311 remove 11315 ref 11362 ref 11345 remove 24 ref 10997 remove 202 ref appTerm appTerm 11356 remove appTerm 11366 def appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm 11367 def 10980 ref appTerm betaConv sym 118 ref 10487 remove 11282 remove 11287 remove 11296 remove 11308 remove 11319 remove 11324 remove 11341 remove 11347 remove 11360 remove 11365 remove 11350 remove 11352 remove 11355 remove 24 ref 11310 ref 10980 ref appTerm 11368 def appTerm 11315 remove 11362 ref 24 ref 11344 remove 10980 ref appTerm 11369 def appTerm 11370 def 11366 remove appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm 11371 def 10998 ref appTerm betaConv sym 1017 ref 1519 ref 10484 ref 5101 ref trans 11372 def appThm 10732 ref appThm 10734 ref trans appThm 11373 def 1017 ref 1519 ref 10828 remove appThm 10732 ref appThm 10734 ref trans appThm 1017 ref 1519 ref 10887 ref appThm 10732 ref appThm 10734 ref trans appThm 1017 ref 1519 ref 11295 remove assume appThm 10732 ref appThm 10734 ref trans appThm 11374 def 1017 ref 1519 ref 11307 remove assume appThm 10732 ref appThm 10734 ref trans appThm 11375 def 1017 ref 10780 remove appThm 11376 def 1017 ref 10883 remove appThm 11377 def 1017 ref nil 77 ref 10844 ref cons nil cons nil cons cons 82 ref subst 10835 ref assume eqMp 11378 def appThm 1017 ref nil 77 ref 10859 ref cons nil cons nil cons cons 82 ref subst 10865 remove eqMp 11379 def appThm 1017 ref nil 77 ref 11359 ref nil cons cons nil cons nil cons cons 82 ref subst 11359 remove assume eqMp 11380 def appThm 1017 ref nil 77 ref 11364 ref nil cons cons nil cons nil cons cons 82 ref subst 11364 ref assume eqMp 11381 def appThm 1017 ref nil 77 ref 10902 ref cons nil cons nil cons cons 82 ref subst 10893 remove assume eqMp appThm 1017 ref nil 77 ref 10917 ref cons nil cons nil cons cons 82 ref subst 10922 remove eqMp 11382 def appThm 1017 ref nil 77 ref 10938 ref cons nil cons nil cons cons 82 ref subst 10930 ref assume eqMp 11383 def appThm 1017 ref nil 77 ref 11368 ref nil cons cons nil cons nil cons cons 82 ref subst 11368 remove assume eqMp 11384 def appThm 1017 ref nil 77 ref 11314 ref 10998 ref appTerm 11385 def nil cons cons nil cons nil cons cons 82 ref subst 11385 ref assume eqMp 11386 def appThm 11362 ref refl 11370 ref refl 11028 remove 1017 ref nil 77 ref 11280 ref cons nil cons nil cons cons 82 ref subst 11273 ref assume eqMp 11387 def appThm 11321 ref refl 11326 ref refl 11336 remove refl 1017 ref 10940 remove nil 77 ref 685 remove 684 ref appTerm 11388 def nil cons cons nil cons nil cons cons 82 ref subst 404 ref 11388 remove absTerm 11389 def 684 ref appTerm 11390 def betaConv nil 14 ref 11389 ref appTerm 11391 def axiom nil 346 ref 11391 remove nil cons cons 347 ref 11390 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11389 remove nil cons cons 1817 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp subst appThm 10777 ref 10882 ref nil 77 ref 10954 ref cons nil cons nil cons cons 82 ref subst 10947 ref assume eqMp 11392 def appThm 1030 ref trans appThm 1030 ref trans appThm 1030 ref trans appThm nil 77 ref 11335 ref nil cons 11393 def cons nil cons nil cons cons 1690 ref subst trans appThm appThm appThm nil 77 ref 11321 remove 11326 remove 11335 remove appTerm 11394 def appTerm 11395 def nil cons 11396 def cons nil cons nil cons cons 1026 ref subst 11397 def trans appThm 11397 remove trans appThm appThm appThm nil 77 ref 11362 remove 11370 remove 11395 remove appTerm 11398 def appTerm nil cons cons nil cons nil cons cons 1026 ref subst 11399 def trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 ref trans appThm 11399 remove trans sym nil 10973 remove 347 ref 11361 remove nil cons 11400 def cons nil cons cons nil cons cons 403 ref subst nil 677 ref 11195 ref cons 10956 ref cons nil cons cons 677 ref 23 ref 10958 remove appTerm 11401 def 10488 remove 684 ref appTerm 678 ref appTerm appTerm absTerm 11402 def 678 ref appTerm 11403 def betaConv 404 ref 14 ref 11402 ref appTerm 11404 def absTerm 11405 def 684 ref appTerm 11406 def betaConv nil 14 ref 11405 ref appTerm 11407 def axiom nil 346 ref 11407 remove nil cons cons 347 ref 11406 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11405 remove nil cons cons 1817 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11404 remove nil cons cons 347 ref 11403 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11402 remove nil cons cons 1818 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp nil 346 ref 11400 remove cons 347 ref 11398 remove nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 10989 remove 347 ref 11369 remove nil cons 11408 def cons nil cons cons nil cons cons 403 ref subst nil 677 ref 11238 ref cons 10956 ref cons nil cons cons 677 ref 687 remove 10490 remove 684 ref appTerm 678 ref appTerm appTerm absTerm 11409 def 678 ref appTerm 11410 def betaConv 404 ref 14 ref 11409 ref appTerm 11411 def absTerm 11412 def 684 ref appTerm 11413 def betaConv nil 14 ref 11412 ref appTerm 11414 def axiom nil 346 ref 11414 remove nil cons cons 347 ref 11413 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11412 remove nil cons cons 1817 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11411 remove nil cons cons 347 ref 11410 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11409 remove nil cons cons 1818 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp nil 346 ref 11408 remove cons 347 ref 11396 remove cons nil cons cons nil cons cons 412 ref subst proveHyp nil 90 ref 2195 ref 19 ref 2281 ref 19 ref 1486 ref 23 ref 2667 ref 2668 ref 2088 ref appTerm appTerm appTerm 99 ref "us" 16 ref var 11415 def 24 ref 122 ref 2198 ref appTerm 11416 def 1377 ref 11415 ref varTerm 11417 def appTerm 11418 def appTerm 11419 def appTerm 11420 def 2658 ref 2659 ref 11417 ref appTerm appTerm 11421 def 2669 remove appTerm appTerm absTerm appTerm appTerm 11422 def absTerm 11423 def appTerm 11424 def absTerm 11425 def appTerm 11426 def absTerm 11427 def nil cons cons 11428 def nil cons nil cons cons 95 ref subst 2195 ref nil 77 ref 11426 remove nil cons 11429 def cons nil cons nil cons cons 82 ref subst nil 90 ref 11425 ref nil cons cons 11430 def nil cons nil cons cons 95 ref subst 2281 ref nil 77 ref 11424 remove nil cons 11431 def cons nil cons nil cons cons 82 ref subst nil 90 ref 11423 ref nil cons cons 11432 def nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 11422 remove nil cons cons nil cons nil cons cons 82 ref subst 96 ref nil 1486 ref 4010 remove cons nil cons nil cons cons 3975 ref subst appThm 2071 ref 11415 ref 11420 ref refl nil 2195 ref 11417 ref nil cons 11433 def cons 11434 def nil cons 11435 def nil cons cons 3975 ref subst appThm absThm appThm appThm sym 3566 ref 2198 ref appTerm 11436 def betaConv 3569 ref nil 3570 ref 347 ref 11436 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3571 ref 2598 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2403 ref 11416 ref 134 ref appTerm 11437 def appTerm 99 ref 1442 ref 11416 remove 1448 ref appTerm absTerm 11438 def appTerm 11439 def appTerm nil cons 11440 def cons 347 ref 23 ref 24 ref 2674 ref 2677 ref 2088 ref appTerm 11441 def appTerm appTerm 2680 ref 19 ref 1158 ref 23 ref 1401 ref 2088 ref appTerm appTerm 2686 ref appTerm absTerm appTerm appTerm 11442 def appTerm appTerm 99 ref 11415 ref 11420 ref 24 ref 122 ref 2672 ref 11417 ref appTerm 11443 def appTerm 11444 def 2678 ref appTerm 11445 def appTerm 11446 def 2687 ref appTerm 11447 def appTerm absTerm appTerm appTerm 11448 def nil cons 11449 def cons nil cons 11450 def cons nil cons cons 11451 def 403 ref subst proveHyp 11451 ref 362 ref subst 11451 remove 412 ref subst nil 90 ref 11415 ref 23 ref 11438 ref 11417 ref appTerm 11452 def appTerm 11448 ref appTerm 11453 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 11415 ref nil 77 ref 11453 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11452 ref nil cons 11454 def cons 11450 ref cons nil cons cons 11455 def 362 ref subst 11455 remove 412 ref subst 11452 ref betaConv 11452 remove assume eqMp nil 346 ref 11419 ref nil cons 11456 def cons 11450 ref cons nil cons cons 11457 def 403 ref subst proveHyp 11457 ref 362 ref subst 11457 remove 412 ref subst 56 ref "_35633" 16 ref var 11458 def 23 ref 24 ref 122 ref 2672 ref 11458 remove varTerm 11459 def appTerm appTerm 11441 ref appTerm appTerm 11442 ref appTerm appTerm 99 ref 11415 ref 24 ref 122 ref 11459 remove appTerm 11418 ref appTerm appTerm 11447 ref appTerm absTerm appTerm appTerm absTerm 11460 def 2198 ref appTerm 11461 def appTerm refl 11462 def 11460 ref 11418 ref appTerm betaConv appThm 383 ref 11461 remove betaConv appThm 11463 def 23 ref 24 ref 122 ref 2672 ref 11418 ref appTerm appTerm 11464 def 11441 ref appTerm appTerm 11442 ref appTerm appTerm 99 ref "us'" 16 ref var 11465 def 24 ref 122 ref 11418 ref appTerm 1377 ref 11465 ref varTerm 11466 def appTerm appTerm appTerm 24 ref 122 ref 2672 ref 11466 ref appTerm appTerm 2678 ref appTerm appTerm 11467 def 2687 remove appTerm appTerm absTerm appTerm appTerm refl appThm trans 11460 remove refl 11468 def 11419 remove assume 11469 def appThm eqMp sym 96 ref 1017 ref 1519 ref nil 1442 ref 11433 ref cons 11470 def 2713 remove cons nil cons cons 1669 ref subst appThm nil 1971 ref 2721 ref cons nil cons cons 1669 ref subst appThm nil 1442 ref 2678 ref nil cons 11471 def cons 1308 ref 11443 remove nil cons cons nil cons cons nil cons cons 3342 ref subst trans appThm 2680 ref refl 11472 def 1432 ref 1158 ref 96 ref 5639 remove 1462 ref subst appThm 839 ref 2746 ref nil 1658 ref 3380 remove cons nil cons cons 1669 ref subst appThm appThm 11473 def appThm absThm appThm appThm appThm appThm 2071 ref 11465 ref 1017 ref nil 1442 ref 11466 ref nil cons cons 1308 ref 11433 ref cons nil cons 11474 def cons nil cons cons 3342 ref subst appThm 11467 ref refl 11472 ref 1432 ref 1158 ref 2682 ref refl 11473 remove appThm absThm appThm appThm appThm appThm absThm appThm 383 ref 2071 ref 11465 ref 24 ref 122 ref 11417 ref appTerm 11466 ref appTerm appTerm refl 11465 remove 11467 remove 2680 ref 19 ref 1158 ref 2682 remove 38 ref 28 ref 1377 ref 2683 remove 1161 ref appTerm appTerm appTerm appTerm 11475 def appTerm 11476 def absTerm 11477 def appTerm 11478 def appTerm 11479 def appTerm absTerm 11480 def 11466 remove appTerm betaConv appThm absThm appThm appThm 11480 ref 11417 ref appTerm betaConv appThm nil 1823 ref 11480 remove nil cons cons 2792 ref 11433 ref cons nil cons cons nil cons cons 94 ref 2805 remove 56 ref 866 ref 66 ref 24 ref 4020 remove appTerm 883 ref appTerm absTerm appTerm appTerm 65 ref 2806 ref appTerm appTerm absTerm 11481 def 2806 remove appTerm 11482 def betaConv 64 ref 60 ref 11481 ref appTerm 11483 def absTerm 11484 def 65 ref appTerm 11485 def betaConv nil 2873 ref 11484 ref appTerm 11486 def axiom nil 346 ref 11486 remove nil cons cons 347 ref 11485 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2875 ref 2876 ref 11484 remove nil cons cons 2878 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11483 remove nil cons cons 347 ref 11482 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 ref 61 ref 11481 remove nil cons cons 2832 remove cons nil cons cons 414 ref subst eqMp eqMp subst 11487 def subst eqMp trans appThm sym nil 346 ref 11446 ref 2680 ref 19 ref 1158 ref 23 ref 1406 ref 1487 ref appTerm 11488 def appTerm 11475 ref appTerm absTerm 11489 def appTerm 11490 def appTerm 11491 def appTerm nil cons 11492 def cons 347 ref 11446 remove 11479 remove appTerm nil cons 11493 def cons nil cons cons nil cons cons 11494 def 362 ref subst 11494 remove 412 ref subst nil 379 ref 11445 ref nil cons cons 381 ref 11491 remove nil cons cons nil cons cons nil cons cons 11495 def 395 ref subst 11495 remove 428 ref subst nil 3462 ref 381 ref 11490 remove nil cons 11496 def cons nil cons cons nil cons cons 11497 def 395 ref subst 11497 remove 428 ref subst 1017 ref 1519 ref 11445 remove assume appThm 2678 remove refl appThm nil 700 ref 11471 remove cons nil cons nil cons cons 2745 ref subst trans appThm 1017 ref 3473 ref appThm 11478 ref refl appThm nil 77 ref 11478 remove nil cons cons nil cons nil cons cons 1026 ref subst 11498 def trans appThm 11498 remove trans sym nil 90 ref 11477 remove nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 11476 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 2681 ref nil cons 11499 def cons 347 ref 11475 remove nil cons 11500 def cons nil cons 11501 def cons nil cons cons 11502 def 362 ref subst 11502 remove 412 ref subst 1442 ref 1483 ref 1909 ref appTerm absTerm 11503 def 1378 ref appTerm betaConv sym 1017 ref 1710 ref 5890 ref subst appThm nil 77 ref 11499 ref cons nil cons nil cons cons 82 ref subst 2681 remove assume eqMp appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 11503 ref nil cons cons 1418 remove cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 11503 remove appTerm nil cons cons 347 ref 11488 remove nil cons 11504 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 5145 remove 1445 ref cons nil cons cons 2592 ref subst eqMp nil 346 ref 11504 remove cons 11501 remove cons nil cons cons 403 ref subst proveHyp 11489 ref 1161 ref appTerm 11505 def betaConv nil 346 ref 11496 remove cons 347 ref 11505 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 11489 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp eqMp nil 379 ref 11499 remove cons 381 ref 11500 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 11492 remove cons 381 ref 11493 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 11456 remove cons 11506 def 381 ref 11449 ref cons nil cons 11507 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11454 remove cons 11507 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 11438 ref 963 ref appTerm appTerm 11448 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11439 ref appTerm 11448 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11438 remove nil cons cons 11507 ref cons nil cons cons 893 ref subst eqMp nil 346 ref 11437 ref nil cons 11508 def cons 11450 remove cons nil cons cons 11509 def 362 ref subst 11509 remove 412 ref subst 11462 remove "_35481" 16 ref var 11510 def 23 ref 24 ref 122 ref 2672 ref 11510 remove varTerm 11511 def appTerm appTerm 11441 ref appTerm appTerm 11442 ref appTerm appTerm 99 ref 11415 ref 24 ref 122 ref 11511 remove appTerm 11418 ref appTerm appTerm 11447 ref appTerm absTerm appTerm appTerm absTerm 134 ref appTerm betaConv appThm 11463 remove 23 ref 24 ref 122 ref 2672 remove 134 ref appTerm appTerm 11441 ref appTerm appTerm 11442 ref appTerm appTerm 99 ref 11415 ref 24 ref 2754 ref 11418 ref appTerm appTerm 11447 ref appTerm absTerm appTerm appTerm refl appThm trans 11468 remove 11437 remove assume appThm eqMp sym 96 ref 1017 ref 2714 remove 11441 ref refl appThm appThm 11442 ref refl appThm appThm 2071 ref 11415 ref 1017 ref nil 11470 remove nil cons nil cons cons 839 ref 2754 ref 1448 ref appTerm 11512 def assume sym 3998 remove assume sym deductAntisym appThm 4003 remove eqMp nil 346 ref 38 ref 11512 ref appTerm nil cons cons 347 ref 56 ref 11512 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 379 ref 11512 remove nil cons cons nil cons nil cons cons 791 ref subst eqMp 11513 def subst appThm 11447 ref refl appThm nil 77 ref 11447 remove nil cons cons nil cons nil cons cons 3159 ref subst trans absThm appThm 5163 ref trans appThm nil 77 ref 24 ref 2717 remove 11441 ref appTerm 11514 def appTerm 11442 ref appTerm nil cons 11515 def cons nil cons nil cons cons 838 ref subst 11516 def trans sym 11516 remove nil 346 ref 11515 ref cons 669 ref cons nil cons cons 11517 def 362 ref subst 11517 remove 412 ref subst nil 379 ref 11514 ref nil cons cons 381 ref 11442 remove nil cons cons nil cons cons nil cons cons 395 ref subst 2617 remove 56 ref 1612 ref 2671 remove appTerm 11518 def 2619 remove appTerm appTerm 1612 ref 29 ref appTerm 11519 def 2618 remove appTerm appTerm absTerm 11520 def 2675 ref appTerm 11521 def betaConv 2642 remove 29 ref appTerm 11522 def betaConv nil 2644 remove 347 ref 11522 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 2645 remove 702 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 11520 ref appTerm nil cons cons 347 ref 11521 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11520 remove nil cons cons 700 ref 2786 remove cons nil cons 11523 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 56 ref 11518 remove 2676 ref appTerm appTerm 11519 remove 2675 ref appTerm appTerm nil cons 11524 def cons 669 remove cons nil cons cons 403 ref subst proveHyp nil 77 ref 11524 remove cons nil cons nil cons cons 838 remove subst 839 ref 383 ref 2012 ref 11514 remove assume appThm 2676 ref refl appThm appThm 2857 remove 2615 remove subst appThm nil 77 ref 1612 ref 11441 ref appTerm 2676 ref appTerm nil cons cons nil cons nil cons cons 1539 ref subst trans appThm nil 2963 remove 1308 ref 11441 remove nil cons cons nil cons cons nil cons cons 5114 remove subst nil 5770 remove 2721 remove cons nil cons cons 6002 remove subst 5772 remove trans 5774 remove trans trans trans trans sym 81 ref eqMp eqMp proveHyp eqMp nil 379 ref 11515 remove cons 852 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 11508 remove cons 11525 def 11507 ref cons nil cons cons 395 ref subst deductAntisym eqMp nil 11525 remove 381 ref 11439 remove nil cons cons 2464 ref 11449 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp eqMp nil 379 ref 11440 remove cons 11507 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 727 ref 10445 remove cons nil cons 11526 def nil cons cons 727 ref 55 ref 0 ref 221 ref 0 ref 221 remove 3 ref cons opType nil cons cons opType constTerm 5410 remove appTerm "Hardware.Bus.lift3" const 0 ref 229 ref 222 remove cons opType constTerm 11527 def 729 remove appTerm appTerm absTerm 11528 def 728 ref appTerm 11529 def betaConv nil 14 ref 11528 ref appTerm 11530 def axiom nil 346 ref 11530 remove nil cons cons 347 ref 11529 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11528 remove nil cons cons 7605 ref cons nil cons cons 414 ref subst eqMp eqMp subst 11531 def 4398 remove appThm 11179 ref refl appThm 10622 ref refl appThm nil 5396 ref 10758 remove cons 1477 ref 11179 ref nil cons 11532 def cons 4222 remove "r" 229 ref var 11533 def 10497 ref nil cons cons nil cons 11534 def cons cons cons nil cons cons 5396 ref 56 ref 11527 remove 11533 ref varTerm 11535 def appTerm 857 ref appTerm 1478 ref appTerm 5397 ref appTerm appTerm 99 ref 1442 ref 24 ref 4159 remove appTerm 24 ref 4167 remove appTerm 24 ref 122 ref 123 ref 5397 ref appTerm appTerm 1447 ref appTerm appTerm 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 7515 ref appTerm 11535 ref 1163 ref appTerm 1569 ref appTerm 7512 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm absTerm appTerm appTerm absTerm 11536 def 5397 ref appTerm 11537 def betaConv 1477 ref 11 ref 11536 ref appTerm 11538 def absTerm 11539 def 1478 ref appTerm 11540 def betaConv 415 ref 11 ref 11539 ref appTerm 11541 def absTerm 11542 def 857 ref appTerm 11543 def betaConv 11533 remove 11 ref 11542 ref appTerm 11544 def absTerm 11545 def 11535 ref appTerm 11546 def betaConv nil 7 ref 0 ref 0 ref 229 ref 3 ref cons opType 11547 def 3 ref cons opType constTerm 11545 ref appTerm 11548 def axiom nil 346 ref 11548 remove nil cons cons 347 ref 11546 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp "A" 243 remove cons nil cons "P" 11547 remove var 11545 remove nil cons cons "x" 229 remove var 11535 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11544 remove nil cons cons 347 ref 11543 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11542 remove nil cons cons 1151 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11541 remove nil cons cons 347 ref 11540 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11539 remove nil cons cons 1782 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11538 remove nil cons cons 347 ref 11537 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11536 remove nil cons cons 6449 remove cons nil cons cons 414 ref subst eqMp eqMp 11549 def subst trans sym 1442 ref 24 ref 4107 remove 1447 ref appTerm appTerm 24 ref 11189 remove 1447 ref appTerm appTerm 24 ref 10633 remove 1447 ref appTerm appTerm 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 167 ref 4105 ref appTerm 11550 def 1161 ref appTerm 11551 def 1163 ref appTerm appTerm 24 ref 11297 ref 1161 ref appTerm 11552 def 1569 ref appTerm appTerm 167 ref 10622 ref appTerm 11553 def 1161 ref appTerm 11554 def 7512 ref appTerm 11555 def appTerm 11556 def appTerm appTerm 10497 ref 1163 ref appTerm 1569 ref appTerm 7512 ref appTerm 11557 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 11558 def absTerm 11559 def appTerm 11560 def appTerm appTerm appTerm absTerm 11561 def 136 ref appTerm betaConv sym 11373 remove 11374 remove 11376 remove 11560 ref refl appThm nil 77 ref 11560 remove nil cons cons nil cons nil cons cons 1026 ref subst 11562 def trans appThm 11562 ref trans appThm 11562 remove trans sym nil 90 ref 11559 remove nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 11558 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 4074 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 11551 ref 4075 ref appTerm 11563 def appTerm 11564 def 11556 remove appTerm appTerm 10497 ref 4075 ref appTerm 11565 def 1569 ref appTerm 7512 ref appTerm appTerm absTerm appTerm absTerm appTerm 11566 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 4074 ref nil 77 ref 11566 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref "sqi'" 1 ref var 11567 def 14 ref 7508 ref 23 ref 11564 ref 24 ref 11552 ref 11567 ref varTerm 11568 def appTerm 11569 def appTerm 11570 def 11555 remove appTerm appTerm appTerm 11565 remove 11568 ref appTerm 11571 def 7512 ref appTerm appTerm absTerm appTerm 11572 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 11567 remove nil 77 ref 11572 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 10563 ref 23 ref 11564 remove 11570 ref 11554 ref 10564 ref appTerm 11573 def appTerm 11574 def appTerm 11575 def appTerm 11571 remove 10564 ref appTerm 11576 def appTerm 11577 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10563 ref nil 77 ref 11577 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11575 remove nil cons 11578 def cons 347 ref 11576 remove nil cons 11579 def cons nil cons cons nil cons cons 11580 def 362 ref subst 11580 remove 412 ref subst nil 379 ref 11563 ref nil cons cons 381 ref 11574 remove nil cons cons nil cons cons nil cons cons 11581 def 395 ref subst 11581 remove 428 ref subst nil 379 ref 11569 ref nil cons cons 381 ref 11573 ref nil cons cons nil cons cons nil cons cons 11582 def 395 ref subst 11582 remove 428 ref subst nil 718 ref 10564 ref nil cons 11583 def cons 677 ref 11568 ref nil cons 11584 def cons 404 ref 4075 ref nil cons cons 11585 def 11526 ref cons cons cons nil cons cons 718 ref 56 ref 730 remove appTerm 19 ref 20 ref 732 remove absTerm appTerm appTerm absTerm 11586 def 719 ref appTerm 11587 def betaConv 677 ref 14 ref 11586 ref appTerm 11588 def absTerm 11589 def 678 ref appTerm 11590 def betaConv 404 ref 14 ref 11589 ref appTerm 11591 def absTerm 11592 def 684 ref appTerm 11593 def betaConv 727 remove 14 ref 11592 ref appTerm 11594 def absTerm 11595 def 728 remove appTerm 11596 def betaConv nil 14 ref 11595 ref appTerm 11597 def axiom nil 346 ref 11597 remove nil cons cons 347 ref 11596 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11595 remove nil cons cons 7605 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11594 remove nil cons cons 347 ref 11593 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11592 remove nil cons cons 1817 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11591 remove nil cons cons 347 ref 11590 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11589 remove nil cons cons 1818 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11588 remove nil cons cons 347 ref 11587 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11586 remove nil cons cons 404 ref 719 ref nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 11598 def subst sym nil 90 ref 2195 ref 56 ref 26 ref 10564 ref appTerm 11599 def 2198 ref appTerm appTerm 11600 def 707 ref 4544 remove 2198 ref appTerm appTerm 11601 def 26 ref 4075 ref appTerm 2198 ref appTerm 11602 def appTerm 26 ref 11568 ref appTerm 11603 def 2198 ref appTerm 11604 def appTerm appTerm 11605 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2195 ref nil 77 ref 11605 ref nil cons 11606 def cons nil cons nil cons cons 82 ref subst 4461 ref nil 4464 ref 347 ref 11606 ref cons nil cons 11607 def cons nil cons cons 403 ref subst proveHyp nil 90 ref 2281 ref 23 ref 4462 remove 2283 ref appTerm 11608 def appTerm 11609 def 11605 ref appTerm 11610 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2281 ref nil 77 ref 11610 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11608 ref nil cons 11611 def cons 11612 def 11607 ref cons nil cons cons 11613 def 362 ref subst 11613 remove 412 ref subst 11608 ref betaConv 11608 remove assume eqMp 11614 def nil 346 ref 99 ref 2791 remove 2667 ref 2668 ref 4456 remove appTerm appTerm absTerm 11615 def appTerm 11616 def nil cons cons 11617 def 11607 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1486 ref 23 ref 11615 ref 1487 ref appTerm 11618 def appTerm 11619 def 11605 ref appTerm 11620 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 11620 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11618 ref nil cons 11621 def cons 11622 def 11607 ref cons nil cons cons 11623 def 362 ref subst 11623 remove 412 ref subst 11618 ref betaConv 11624 def 11618 remove assume eqMp 11625 def nil 346 ref 2670 ref nil cons 11626 def cons 11627 def 11607 remove cons nil cons cons 11628 def 403 ref subst proveHyp 11628 ref 362 ref subst 11628 remove 412 ref subst 56 ref "_35785" 1 ref var 11629 def 11600 ref 707 ref 26 ref 11629 remove varTerm appTerm 2198 ref appTerm appTerm 11602 ref appTerm 11604 ref appTerm appTerm absTerm 11630 def 4030 ref appTerm 11631 def appTerm refl 11630 ref 4019 ref appTerm betaConv appThm 383 ref 11631 remove betaConv appThm 11600 ref 707 ref 10464 remove 2198 ref appTerm appTerm 11632 def 11602 ref appTerm 11604 ref appTerm appTerm refl appThm trans 11630 remove refl 10465 ref appThm eqMp sym 11600 ref refl 753 ref nil 10467 remove nil cons cons 4453 ref subst 10469 remove 2670 remove assume 11633 def appThm nil 2844 ref 1970 remove cons 11634 def 2328 ref 10481 remove cons cons nil cons cons 4524 ref subst 4018 remove 2283 ref appTerm betaConv 5102 ref appThm 4017 remove 1487 ref appTerm betaConv trans trans trans trans appThm 11635 def 11602 ref refl 11636 def appThm 11604 ref refl appThm appThm sym 383 ref "_35787" 2 ref var 11637 def 11600 ref 11637 remove varTerm appTerm absTerm 11638 def 10545 ref 11602 ref appTerm 11604 ref appTerm appTerm betaConv appThm 1017 ref 23 ref 1927 ref appTerm 11639 def refl 11640 def 11638 ref 11602 ref appTerm betaConv appThm appThm 2113 ref 11638 ref 11604 ref appTerm betaConv 11641 def appThm appThm appThm nil 6161 ref 11604 ref nil cons cons 6162 ref 11602 ref nil cons cons 5693 ref 1927 ref nil cons 11642 def cons nil cons 11643 def cons cons nil cons cons nil 6166 ref 11638 remove nil cons cons nil cons nil cons cons 6167 ref subst subst eqMp sym nil 346 ref 11642 ref cons 11644 def 347 ref 11600 ref 11602 ref appTerm 11645 def nil cons 11646 def cons nil cons 11647 def cons nil cons cons 11648 def 362 ref subst 11648 remove 412 ref subst 3566 ref 1161 ref appTerm 11649 def betaConv 3569 ref nil 3570 ref 347 ref 11649 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3571 ref 1510 ref cons nil cons cons 414 ref subst eqMp eqMp 11650 def nil 346 ref 2403 ref 1877 ref appTerm 99 ref 1442 ref 1876 ref 1448 ref appTerm absTerm 11651 def appTerm 11652 def appTerm nil cons 11653 def cons 11654 def 11647 ref cons nil cons cons 11655 def 403 ref subst proveHyp 11655 ref 362 ref subst 11655 remove 412 ref subst nil 90 ref "is" 16 ref var 11656 def 23 ref 11651 ref 11656 ref varTerm 11657 def appTerm 11658 def appTerm 11659 def 11645 ref appTerm 11660 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 11656 ref nil 77 ref 11660 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11658 ref nil cons 11661 def cons 11662 def 11647 ref cons nil cons cons 11663 def 362 ref subst 11663 remove 412 ref subst 11658 ref betaConv 11658 remove assume eqMp 11664 def nil 346 ref 1876 remove 1377 ref 11657 ref appTerm 11665 def appTerm 11666 def nil cons 11667 def cons 11668 def 11647 ref cons nil cons cons 11669 def 403 ref subst proveHyp 11669 ref 362 ref subst 11669 remove 412 ref subst 1054 ref 23 ref 11550 ref 11665 ref appTerm 11670 def 1057 ref appTerm appTerm 1400 ref 11665 ref appTerm 11671 def 4106 ref appTerm 11672 def appTerm absTerm 11673 def 4075 ref appTerm 11674 def betaConv 1158 ref 14 ref 1054 ref 23 ref 11551 ref 1057 ref appTerm appTerm 1406 ref 4106 remove appTerm appTerm absTerm appTerm absTerm 11675 def 11665 ref appTerm 11676 def betaConv 1411 remove 4105 ref appTerm 11677 def betaConv 1414 remove nil 1415 remove 347 ref 11677 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1416 remove 4223 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 11675 ref appTerm nil cons cons 347 ref 11676 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11675 remove nil cons cons 700 ref 11665 ref nil cons 11678 def cons nil cons 11679 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11673 ref appTerm nil cons cons 347 ref 11674 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11673 remove nil cons cons 11585 remove nil cons 11680 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 11670 ref 4075 ref appTerm 11681 def appTerm 11672 remove appTerm nil cons cons 347 ref 1400 ref 11657 ref appTerm 11682 def 131 ref appTerm 11683 def nil cons 11684 def cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 11681 ref nil cons cons nil cons nil cons cons 82 ref subst 56 ref "_36111" 16 ref var 11685 def 11550 ref 11685 remove varTerm appTerm 4075 ref appTerm absTerm 11686 def 1161 ref appTerm 11687 def appTerm refl 11688 def 11686 ref 11665 ref appTerm betaConv appThm 383 ref 11687 remove betaConv appThm 11689 def 11681 ref refl appThm trans 11686 remove refl 11690 def 11666 remove assume 11691 def appThm eqMp 11563 remove assume 11692 def eqMp eqMp 11693 def appThm 11671 ref refl 11694 def 11372 remove appThm appThm nil 77 ref 11671 ref 136 ref appTerm 11695 def nil cons cons nil cons nil cons cons 833 ref subst trans appThm 11683 ref refl 11696 def appThm sym 96 ref 11694 ref 1440 ref appThm nil 1443 remove 1308 ref 11657 ref nil cons 11697 def cons nil cons 11698 def cons nil cons cons 1462 ref subst 11699 def trans 11700 def appThm 11696 remove appThm nil 77 ref 11684 remove cons nil cons nil cons cons 11701 def 851 ref subst trans sym 81 ref eqMp eqMp eqMp 11702 def 1054 ref 23 ref 174 remove 10622 ref appTerm 11703 def 135 ref appTerm 11704 def 131 ref appTerm 11705 def 10584 ref appTerm 11706 def appTerm 11707 def 56 ref 167 ref 10584 ref appTerm 11708 def 11657 ref appTerm 11709 def 1057 ref appTerm appTerm 24 ref 11683 ref appTerm 11710 def 11553 ref 1467 remove 11657 ref appTerm 11711 def appTerm 11712 def 1057 ref appTerm appTerm appTerm appTerm absTerm 11713 def 10564 ref appTerm 11714 def betaConv 1158 ref 14 ref 1054 ref 11707 ref 56 ref 11708 remove 1161 ref appTerm 11715 def 1057 ref appTerm appTerm 1466 ref 11553 ref 1468 ref appTerm 1057 ref appTerm 11716 def appTerm 11717 def appTerm appTerm absTerm appTerm absTerm 11718 def 11657 ref appTerm 11719 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 11705 remove 1478 ref appTerm appTerm 1480 ref 11717 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 11720 def 10584 ref appTerm 11721 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 11704 remove 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 11716 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11722 def 131 ref appTerm 11723 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 11703 remove 1487 ref appTerm 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 11553 ref 1493 ref appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11724 def 135 ref appTerm 11725 def betaConv 1497 ref 10622 ref appTerm 11726 def betaConv 1500 ref nil 1501 ref 347 ref 11726 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 ref 10759 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 11724 ref appTerm nil cons cons 347 ref 11725 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11724 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 11722 ref appTerm nil cons cons 347 ref 11723 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11722 remove nil cons cons 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11720 ref appTerm nil cons cons 347 ref 11721 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11720 remove nil cons cons 10692 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 11718 ref appTerm nil cons cons 347 ref 11719 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11718 remove nil cons cons 700 ref 11697 ref cons nil cons 11727 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11713 ref appTerm nil cons cons 347 ref 11714 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11713 remove nil cons cons 404 ref 11583 ref cons nil cons 11728 def cons nil cons cons 414 ref subst eqMp eqMp 11729 def nil 346 ref 11707 remove 56 ref 11709 ref 10564 ref appTerm 11730 def appTerm 11731 def 11710 ref 11712 remove 10564 ref appTerm 11732 def appTerm appTerm appTerm nil cons cons 11733 def 11647 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 11706 ref nil cons cons nil cons nil cons cons 82 ref subst 11706 remove assume eqMp appThm 11734 def 11731 ref refl 11735 def 1017 ref 11701 remove 82 ref subst 11736 def 11683 remove assume eqMp 11737 def appThm 11738 def 11732 ref refl 11739 def appThm nil 77 ref 11732 ref nil cons cons nil cons nil cons cons 1026 ref subst 11740 def trans appThm appThm nil 77 ref 11731 remove 11732 remove appTerm nil cons cons nil cons nil cons cons 833 ref subst 11741 def trans appThm 11742 def 11645 ref refl 11743 def appThm sym 96 ref 11735 ref 11553 ref refl 7343 remove 11657 ref refl appThm nil 1442 ref 11697 ref cons 11744 def 7345 ref cons nil cons cons 2604 ref subst 1939 ref nil 11744 remove nil cons nil cons cons 1715 ref subst 11745 def appThm trans trans 11746 def appThm 10564 ref refl 11747 def appThm 11748 def nil 77 ref 11553 ref 11665 ref appTerm 11749 def 10564 ref appTerm 11750 def nil cons 11751 def cons nil cons nil cons cons 82 ref subst 11752 def 56 ref "_36115" 16 ref var 11753 def 11553 ref 11753 remove varTerm appTerm 10564 ref appTerm absTerm 11754 def 1161 ref appTerm 11755 def appTerm refl 11756 def 11754 ref 11665 ref appTerm betaConv appThm 383 ref 11755 remove betaConv appThm 11757 def 11750 ref refl appThm trans 11754 remove refl 11758 def 11691 ref appThm eqMp 11573 ref assume 11759 def eqMp eqMp 11760 def trans appThm nil 77 ref 11730 ref nil cons 11761 def cons nil cons nil cons cons 11762 def 1539 ref subst 11763 def trans appThm 11764 def 11743 ref appThm sym nil 346 ref 11761 ref cons 11765 def 11647 ref cons nil cons cons 11766 def 362 ref subst 11766 remove 412 ref subst 11682 ref refl 11767 def 10609 remove appThm 11768 def 11737 ref trans sym 81 ref eqMp nil 346 ref 11682 ref 158 remove appTerm nil cons cons 347 ref 108 ref 10562 ref 7235 remove 11657 ref appTerm 11769 def 10566 ref appTerm 11770 def absTerm 11771 def appTerm 11772 def nil cons 11773 def cons nil cons cons nil cons cons 403 ref subst 11774 def proveHyp nil 1158 ref 11697 ref cons 11775 def 5421 ref cons nil cons cons 1560 ref subst 11776 def eqMp 11777 def nil 346 ref 11773 remove cons 11778 def 11647 ref cons nil cons cons 403 ref subst nil 5 ref 10562 ref 23 ref 11771 ref 10566 ref appTerm 11779 def appTerm 11780 def 11645 ref appTerm 11781 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10562 ref nil 77 ref 11781 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11779 ref nil cons 11782 def cons 11783 def 11647 ref cons nil cons cons 11784 def 362 ref subst 11784 remove 412 ref subst 11779 ref betaConv 11779 remove assume eqMp 11785 def nil 346 ref 11770 ref nil cons 11786 def cons 11787 def 11647 ref cons nil cons cons 11788 def 403 ref subst proveHyp 11788 ref 362 ref subst 11788 remove 412 ref subst 11694 ref 5101 remove 1440 ref trans appThm 11699 ref 11737 ref trans 11789 def trans sym 81 ref eqMp nil 346 ref 11671 ref 124 ref appTerm nil cons cons 347 ref 108 ref 4073 ref 168 ref 11665 ref appTerm 11790 def 4077 ref appTerm 11791 def absTerm 11792 def appTerm 11793 def nil cons 11794 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1158 ref 11678 remove cons 11795 def 416 ref cons nil cons cons 1560 ref subst eqMp 11796 def nil 346 ref 11794 remove cons 11797 def 11647 ref cons nil cons cons 403 ref subst nil 5 ref 4073 ref 23 ref 11792 ref 4077 ref appTerm 11798 def appTerm 11799 def 11645 ref appTerm 11800 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 4073 ref nil 77 ref 11800 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11798 ref nil cons 11801 def cons 11802 def 11647 ref cons nil cons cons 11803 def 362 ref subst 11803 remove 412 ref subst 11798 ref betaConv 11798 remove assume eqMp 11804 def nil 346 ref 11791 ref nil cons 11805 def cons 11806 def 11647 ref cons nil cons cons 11807 def 403 ref subst proveHyp 11807 ref 362 ref subst 11807 remove 412 ref subst 1567 ref 23 ref 24 ref 10585 remove appTerm 11808 def 24 ref 11770 ref appTerm 11809 def 11709 remove 1569 ref appTerm 11810 def appTerm appTerm appTerm 10576 remove appTerm absTerm 11811 def 10564 ref appTerm 11812 def betaConv 1160 ref 14 ref 1567 ref 23 ref 11808 ref 24 ref 11769 ref 1163 ref appTerm appTerm 11813 def 11810 remove appTerm appTerm appTerm 10580 ref appTerm absTerm appTerm absTerm 11814 def 10566 ref appTerm 11815 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 11808 ref 24 ref 7387 ref 1163 ref appTerm appTerm 11816 def 11715 remove 1569 ref appTerm appTerm appTerm appTerm 10580 ref appTerm absTerm appTerm absTerm appTerm absTerm 11817 def 11657 ref appTerm 11818 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 24 ref 10583 remove 1478 ref appTerm appTerm 11816 ref 1581 ref appTerm 11819 def appTerm appTerm 10580 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11820 def 10584 remove appTerm 11821 def betaConv 415 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 24 ref 10606 remove 1478 ref appTerm appTerm 1585 ref appTerm appTerm 10580 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11822 def 157 ref appTerm 11823 def betaConv 4061 remove 11 ref 415 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 4158 remove 1585 ref appTerm appTerm 4063 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11824 def 10574 remove appTerm 11825 def betaConv nil 4089 remove 11824 ref appTerm 11826 def axiom 11827 def nil 346 ref 11826 remove nil cons cons 11828 def 347 ref 11825 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4092 ref 4093 remove 11824 ref nil cons cons 11829 def 10611 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11822 ref appTerm nil cons cons 347 ref 11823 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11822 remove nil cons cons 5421 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11820 ref appTerm nil cons cons 347 ref 11821 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11820 remove nil cons cons 10692 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 11817 ref appTerm nil cons cons 347 ref 11818 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11817 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11814 ref appTerm nil cons cons 347 ref 11815 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11814 remove nil cons cons 404 ref 10566 ref nil cons cons nil cons 11830 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11811 ref appTerm nil cons cons 347 ref 11812 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11811 remove nil cons cons 11728 ref cons nil cons cons 414 ref subst eqMp eqMp 11831 def nil 346 ref 23 ref 11808 remove 11809 ref 11730 ref appTerm appTerm appTerm 10575 remove 10564 ref appTerm appTerm nil cons cons 11832 def 11647 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10608 remove 1017 ref nil 77 ref 11786 ref cons nil cons nil cons cons 82 ref subst 11770 ref assume eqMp 11833 def appThm 11834 def 11762 remove 82 ref subst 11730 remove assume eqMp appThm 1030 ref trans appThm 1030 ref trans appThm 10578 remove 11747 remove appThm 10573 remove 10564 ref appTerm betaConv trans appThm nil 77 ref 10572 ref nil cons 11835 def cons nil cons nil cons cons 833 ref subst trans appThm 11836 def 11743 remove appThm sym nil 346 ref 11835 ref cons 11837 def 11647 ref cons nil cons cons 11838 def 362 ref subst 11838 remove 412 ref subst 56 ref "_36296" 1 ref var 11839 def 56 ref 26 ref 11839 remove varTerm appTerm 2198 ref appTerm appTerm 11602 ref appTerm absTerm 11840 def 10564 ref appTerm 11841 def appTerm refl 11842 def 11840 ref 10571 ref appTerm betaConv appThm 383 ref 11841 remove betaConv appThm 11843 def 56 ref 26 ref 10571 ref appTerm 11844 def 2198 ref appTerm appTerm 11602 ref appTerm 11845 def refl appThm trans 11840 remove refl 11846 def 10572 remove assume 11847 def appThm eqMp sym 1567 ref 23 ref 24 ref 4121 remove appTerm 11848 def 24 ref 11791 ref appTerm 11849 def 11670 remove 1569 ref appTerm 11850 def appTerm appTerm appTerm 4085 ref 4077 ref appTerm 11851 def 1569 ref appTerm appTerm absTerm 11852 def 4075 ref appTerm 11853 def betaConv 1160 ref 14 ref 1567 ref 23 ref 11848 ref 24 ref 11790 remove 1163 ref appTerm appTerm 11850 remove appTerm appTerm appTerm 4098 ref appTerm absTerm appTerm absTerm 11854 def 4077 ref appTerm 11855 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 11848 ref 24 ref 168 ref 1161 ref appTerm 1163 ref appTerm appTerm 11856 def 11551 remove 1569 ref appTerm appTerm appTerm appTerm 4098 ref appTerm absTerm appTerm absTerm appTerm absTerm 11857 def 11665 ref appTerm 11858 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 24 ref 4137 remove appTerm 11856 remove 1581 ref appTerm appTerm appTerm 4098 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11859 def 4105 remove appTerm 11860 def betaConv 415 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 24 ref 4101 remove appTerm 1585 ref appTerm appTerm 4098 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11861 def 34 ref appTerm 11862 def betaConv 11824 ref 4085 ref appTerm 11863 def betaConv 11827 ref nil 11828 ref 347 ref 11863 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4092 ref 11829 ref 4096 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11861 ref appTerm nil cons cons 347 ref 11862 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11861 remove nil cons cons 416 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11859 ref appTerm nil cons cons 347 ref 11860 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11859 remove nil cons cons 4223 remove cons nil cons cons 414 ref subst eqMp eqMp 11864 def nil 346 ref 19 ref 11857 ref appTerm nil cons cons 11865 def 347 ref 11858 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11857 ref nil cons cons 11866 def 11679 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11854 ref appTerm nil cons cons 347 ref 11855 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11854 remove nil cons cons 404 ref 4077 ref nil cons cons nil cons 11867 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11852 ref appTerm nil cons cons 347 ref 11853 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11852 remove nil cons cons 11680 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 11848 ref 11849 remove 11681 remove appTerm appTerm appTerm 11851 ref 4075 ref appTerm appTerm nil cons cons 347 ref 11845 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 4154 ref 1017 ref nil 77 ref 11805 ref cons nil cons nil cons cons 82 ref subst 11791 remove assume eqMp 11868 def appThm 11693 remove appThm 1030 ref trans appThm 1030 ref trans appThm 11851 remove betaConv 4075 ref refl 11869 def appThm 4084 remove 4075 ref appTerm betaConv trans appThm nil 77 ref 4083 ref nil cons 11870 def cons nil cons nil cons cons 833 ref subst trans appThm 383 ref nil 3859 ref 10570 ref nil cons 11871 def cons nil cons 11872 def nil cons cons 4453 ref subst 3877 ref 10570 ref appTerm 11873 def refl 11874 def 11633 ref 2668 ref refl 1927 ref assume 11875 def appThm trans 11876 def appThm trans appThm 11636 ref appThm appThm sym nil 346 ref 11870 ref cons 347 ref 56 ref 11873 remove 2668 ref 134 ref appTerm 11877 def appTerm appTerm 11878 def 11602 ref appTerm nil cons 11879 def cons nil cons cons nil cons cons 11880 def 362 ref subst 11880 remove 412 ref subst 56 ref "_36299" 1 ref var 11881 def 11878 ref 26 ref 11881 remove varTerm appTerm 2198 ref appTerm appTerm absTerm 11882 def 4075 ref appTerm 11883 def appTerm refl 11882 ref 4082 ref appTerm betaConv appThm 383 ref 11883 remove betaConv appThm 11878 remove 26 ref 4082 remove appTerm 2198 ref appTerm appTerm refl appThm trans 11882 remove refl 4083 remove assume appThm eqMp sym 383 ref nil 10483 ref 2328 ref 4494 ref 11871 remove cons nil cons cons 11884 def cons nil cons cons 4524 ref subst 10570 remove 2283 ref appTerm betaConv 11885 def 2788 ref appThm 10569 ref 134 ref appTerm betaConv nil "z" 2 ref var 11886 def 10567 ref 1062 ref 3061 ref 4042 ref 134 ref appTerm 11887 def 135 ref appTerm appTerm appTerm 11888 def appTerm nil cons cons 3126 ref 10568 ref nil cons 11889 def cons 1353 ref cons cons nil cons cons 92 remove "B" 3 ref cons nil cons cons 53 ref cons 706 remove 0 ref 2 ref 0 ref 2797 ref 0 ref 2797 ref 2799 ref cons opType nil cons cons opType nil cons cons opType constTerm refl 2335 remove appThm 3929 ref refl appThm "z" 2797 ref var varTerm 11890 def refl appThm nil "t2" 2797 ref var 11890 remove nil cons cons "t1" 2797 ref var 4509 ref cons nil cons cons nil cons cons 2833 ref 53 remove cons 816 remove subst subst trans subst 11891 def subst trans trans trans appThm nil 3859 ref 4081 ref nil cons 11892 def cons nil cons nil cons cons 4453 ref subst 3877 ref 4081 ref appTerm refl 11876 ref appThm nil 10483 ref 2328 ref 4494 ref 11892 remove cons nil cons cons cons nil cons cons 4524 ref subst 4081 remove 2283 ref appTerm betaConv 2788 ref appThm 4080 remove 134 ref appTerm betaConv trans trans trans trans appThm sym 11767 ref 151 remove assume appThm 11737 ref trans sym 81 ref eqMp nil 346 ref 11682 ref 149 remove appTerm nil cons cons 347 ref 108 ref "sqi" 1 ref var 11893 def 4649 ref 11657 ref appTerm 11894 def 11893 ref varTerm 11895 def appTerm 11896 def absTerm 11897 def appTerm 11898 def nil cons 11899 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 11775 ref 5419 ref cons nil cons cons 1560 ref subst eqMp 11900 def nil 346 ref 11899 remove cons 11901 def 347 ref 56 ref 10568 ref appTerm 11902 def 4079 ref appTerm 11903 def nil cons 11904 def cons nil cons 11905 def cons nil cons cons 403 ref subst nil 5 ref 11893 ref 23 ref 11897 ref 11895 ref appTerm 11906 def appTerm 11907 def 11903 ref appTerm 11908 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 11893 ref nil 77 ref 11908 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 11906 ref nil cons 11909 def cons 11910 def 11905 ref cons nil cons cons 11911 def 362 ref subst 11911 remove 412 ref subst 11906 ref betaConv 11906 remove assume eqMp 11912 def nil 346 ref 11896 ref nil cons 11913 def cons 11914 def 11905 ref cons nil cons cons 11915 def 403 ref subst proveHyp 11915 ref 362 ref subst 11915 remove 412 ref subst 1054 ref 23 ref 179 ref appTerm 11916 def 56 ref 167 ref 178 ref appTerm 11917 def 11657 ref appTerm 11918 def 1057 ref appTerm appTerm 11710 ref 168 ref 11711 ref appTerm 11919 def 1057 ref appTerm appTerm appTerm appTerm absTerm 11920 def 4077 ref appTerm 11921 def betaConv 1158 ref 14 ref 1054 ref 11916 ref 56 ref 11917 remove 1161 ref appTerm 11922 def 1057 ref appTerm appTerm 1466 ref 168 ref 1468 ref appTerm 1057 ref appTerm 11923 def appTerm 11924 def appTerm appTerm absTerm appTerm absTerm 11925 def 11657 ref appTerm 11926 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 177 remove 1478 ref appTerm appTerm 1480 ref 11924 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 11927 def 178 ref appTerm 11928 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 176 remove 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 11923 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11929 def 131 ref appTerm 11930 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 9318 remove 1478 ref appTerm appTerm 1480 ref 1483 ref 168 ref 1493 ref appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11931 def 135 ref appTerm 11932 def betaConv 1497 ref 34 remove appTerm 11933 def betaConv 1500 ref nil 1501 ref 347 ref 11933 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 ref 416 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 11931 ref appTerm nil cons cons 347 ref 11932 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11931 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 11929 ref appTerm nil cons cons 347 ref 11930 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11929 remove nil cons cons 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11927 ref appTerm nil cons cons 347 ref 11928 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11927 remove nil cons cons 415 ref 178 ref nil cons cons nil cons 11934 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 11925 ref appTerm nil cons cons 347 ref 11926 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11925 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11920 ref appTerm nil cons cons 347 ref 11921 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11920 remove nil cons cons 11867 ref cons nil cons cons 414 ref subst eqMp eqMp 11935 def nil 346 ref 11916 remove 56 ref 11918 ref 4077 ref appTerm 11936 def appTerm 11937 def 11710 ref 11919 remove 4077 ref appTerm 11938 def appTerm appTerm appTerm nil cons cons 11939 def 11905 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 604 remove cons nil cons nil cons cons 82 ref subst 179 remove assume eqMp appThm 11937 ref refl 11940 def 11738 ref 11938 ref refl appThm nil 77 ref 11938 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm appThm nil 77 ref 11937 remove 11938 remove appTerm nil cons cons nil cons nil cons cons 833 ref subst trans appThm 11941 def 11903 ref refl 11942 def appThm sym 96 ref 11940 remove 168 remove refl 11746 ref appThm 4077 ref refl appThm 11868 remove trans appThm nil 77 ref 11936 ref nil cons 11943 def cons nil cons nil cons cons 11944 def 1539 ref subst trans appThm 11945 def 11942 ref appThm sym nil 346 ref 11943 ref cons 11946 def 11905 ref cons nil cons cons 11947 def 362 ref subst 11947 remove 412 ref subst 7508 ref 23 ref 242 ref 24 ref 11936 ref appTerm 11948 def 24 ref 11896 ref appTerm 11949 def 11769 remove 7512 ref appTerm 11950 def appTerm appTerm appTerm appTerm 245 ref 4077 ref appTerm 11951 def 11895 ref appTerm 11952 def 7512 ref appTerm appTerm absTerm 11953 def 10566 ref appTerm 11954 def betaConv 1567 ref 14 ref 7508 ref 23 ref 242 ref 11948 ref 24 ref 11894 ref 1569 ref appTerm appTerm 11950 remove appTerm 11955 def appTerm appTerm appTerm 11951 ref 1569 ref appTerm 7512 ref appTerm appTerm absTerm appTerm absTerm 11956 def 11895 ref appTerm 11957 def betaConv 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 242 ref 24 ref 11918 remove 1163 ref appTerm appTerm 11955 remove appTerm appTerm appTerm 245 remove 1163 ref appTerm 1569 ref appTerm 7512 ref appTerm 11958 def appTerm absTerm appTerm absTerm appTerm absTerm 11959 def 4077 ref appTerm 11960 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 242 ref 24 ref 11922 remove 1163 ref appTerm appTerm 11961 def 24 ref 4649 remove 1161 ref appTerm 11962 def 1569 ref appTerm appTerm 11963 def 7387 remove 7512 ref appTerm appTerm appTerm appTerm appTerm 11958 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11964 def 11657 ref appTerm 11965 def betaConv 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 240 remove 5397 ref appTerm appTerm 11961 ref 11963 remove 7513 ref appTerm appTerm appTerm appTerm 11958 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11966 def 157 ref appTerm 11967 def betaConv 1477 ref 11 ref 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 239 remove 1478 ref appTerm 5397 ref appTerm appTerm 11961 remove 7514 ref appTerm appTerm appTerm 11958 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11968 def 148 ref appTerm 11969 def betaConv 415 ref 11 ref 1477 ref 11 ref 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 7477 remove 7515 ref appTerm appTerm 11958 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 11970 def 178 remove appTerm 11971 def betaConv 7553 remove 27 remove appTerm 11972 def betaConv 7555 remove nil 7557 remove 347 ref 11972 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 7604 remove 406 remove cons nil cons cons 414 ref subst eqMp eqMp 11973 def nil 346 ref 11 ref 11970 ref appTerm nil cons cons 11974 def 347 ref 11971 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11970 ref nil cons cons 11975 def 11934 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11968 ref appTerm nil cons cons 347 ref 11969 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11968 remove nil cons cons 5419 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 11966 ref appTerm nil cons cons 347 ref 11967 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11966 remove nil cons cons 5421 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 11964 ref appTerm nil cons cons 347 ref 11965 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11964 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11959 ref appTerm nil cons cons 347 ref 11960 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11959 remove nil cons cons 11867 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11956 ref appTerm nil cons cons 347 ref 11957 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11956 remove nil cons cons 404 ref 11895 ref nil cons cons nil cons 11976 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11953 ref appTerm nil cons cons 347 ref 11954 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11953 remove nil cons cons 11830 ref cons nil cons cons 414 ref subst eqMp eqMp 11977 def nil 346 ref 23 ref 242 remove 11948 remove 11949 remove 11770 remove appTerm appTerm appTerm appTerm 11952 ref 10566 ref appTerm 11978 def appTerm nil cons cons 11979 def 11905 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1017 ref nil 77 ref 643 remove cons nil cons nil cons cons 82 ref subst 241 remove assume eqMp appThm 1017 ref 11944 remove 82 ref subst 11936 remove assume eqMp appThm 1017 ref nil 77 ref 11913 ref cons nil cons nil cons cons 82 ref subst 11896 ref assume eqMp 11980 def appThm 11833 remove appThm 1030 ref trans appThm 1030 ref trans appThm 1030 ref trans appThm 11978 ref refl appThm nil 77 ref 11978 ref nil cons 11981 def cons nil cons nil cons cons 11982 def 833 ref subst trans appThm 11983 def 11942 ref appThm sym nil 346 ref 11981 ref cons 11984 def 11905 ref cons nil cons cons 11985 def 362 ref subst 11985 remove 412 ref subst 20 ref 23 ref 11978 ref appTerm 11986 def 56 ref 10567 ref 29 ref appTerm 11987 def appTerm 708 ref 4078 ref 29 ref appTerm appTerm 11988 def 26 ref 11895 ref appTerm 11989 def 29 ref appTerm 11990 def appTerm 11991 def appTerm appTerm absTerm 11992 def 2675 ref appTerm 11993 def betaConv 718 ref 19 ref 20 ref 23 ref 11952 remove 719 ref appTerm appTerm 720 ref 11991 remove appTerm appTerm absTerm appTerm absTerm 11994 def 10566 ref appTerm 11995 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 11951 remove 678 ref appTerm 719 ref appTerm appTerm 720 ref 11988 remove 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 11996 def 11895 ref appTerm 11997 def betaConv 725 ref 4077 remove appTerm 11998 def betaConv 736 ref nil 737 ref 347 ref 11998 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 738 ref 11867 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11996 ref appTerm nil cons cons 347 ref 11997 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11996 remove nil cons cons 11976 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 11994 ref appTerm nil cons cons 347 ref 11995 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11994 remove nil cons cons 11830 ref cons nil cons cons 414 ref subst eqMp eqMp 11999 def nil 346 ref 19 ref 11992 ref appTerm nil cons cons 12000 def 347 ref 11993 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11992 ref nil cons cons 12001 def 11523 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11986 ref 11902 ref 707 ref 2679 ref appTerm 12002 def 4079 ref appTerm 11989 ref 2675 ref appTerm 12003 def appTerm 12004 def appTerm 12005 def appTerm nil cons cons 11905 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 11982 remove 82 ref subst 11978 remove assume eqMp appThm 12006 def 12005 ref refl appThm nil 77 ref 12005 ref nil cons 12007 def cons nil cons nil cons cons 833 ref subst trans appThm 11942 remove appThm sym nil 346 ref 12007 ref cons 11905 remove cons nil cons cons 12008 def 362 ref subst 12008 remove 412 ref subst 56 ref "_36302" 2 ref var 12009 def 56 ref 12009 remove varTerm appTerm 4079 ref appTerm absTerm 12010 def 10568 ref appTerm 12011 def appTerm refl 12010 ref 12004 ref appTerm betaConv appThm 383 ref 12011 remove betaConv appThm 56 ref 12004 remove appTerm 4079 ref appTerm 12012 def refl 12013 def appThm trans 12010 remove refl 12005 remove assume appThm eqMp sym nil 11627 ref 347 ref 12012 remove nil cons 12014 def cons nil cons 12015 def cons nil cons cons 403 ref subst 96 ref 3975 ref 1017 ref 2896 remove 3557 ref 11875 ref appThm appThm appThm 11472 ref 1432 ref 1158 ref 96 ref 1422 ref 11875 ref appThm appThm 2686 ref refl 12016 def appThm absThm appThm appThm appThm trans appThm 12017 def 12013 remove appThm sym nil 346 ref 24 ref 2674 remove 3762 remove appTerm 12018 def appTerm 2680 ref 19 ref 1158 ref 23 ref 1401 ref 134 ref appTerm appTerm 2686 ref appTerm absTerm appTerm 12019 def appTerm 12020 def appTerm nil cons 12021 def cons 12022 def 12015 remove cons nil cons cons 12023 def 362 ref subst 12023 remove 412 ref subst nil 379 ref 12018 remove nil cons cons 381 ref 12020 ref nil cons cons nil cons 12024 def cons nil cons cons 428 ref subst 12025 def nil 3462 ref 381 ref 12019 remove nil cons cons nil cons cons nil cons cons 395 ref subst 12026 def 753 ref 3473 remove appThm 12027 def 4079 ref refl appThm 12003 ref refl appThm nil 794 ref 12003 remove nil cons cons 796 ref 4079 remove nil cons cons nil cons cons nil cons cons 817 ref subst trans proveHyp proveHyp eqMp nil 379 ref 12021 remove cons 12028 def 381 ref 12014 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 12007 remove cons 381 ref 11904 remove cons nil cons 12029 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 11981 remove cons 12030 def 12029 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 11943 remove cons 12031 def 12029 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 11913 remove cons 12032 def 12029 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11909 remove cons 12033 def 12029 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 11897 ref 684 ref appTerm appTerm 12034 def 11903 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11898 remove appTerm 12035 def 11903 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11897 remove nil cons cons 12036 def 12029 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 379 ref 11870 remove cons 381 ref 11879 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 11835 remove cons 12037 def 381 ref 11646 ref cons nil cons 12038 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 11805 remove cons 12039 def 12038 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11801 remove cons 12040 def 12038 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 11792 ref 684 ref appTerm appTerm 12041 def 11645 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11793 remove appTerm 12042 def 11645 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11792 remove nil cons cons 12043 def 12038 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 11786 remove cons 12044 def 12038 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11782 remove cons 12045 def 12038 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 11771 ref 684 ref appTerm appTerm 12046 def 11645 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11772 remove appTerm 12047 def 11645 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11771 remove nil cons cons 12048 def 12038 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 11761 remove cons 12049 def 12038 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 379 ref 11667 remove cons 12050 def 12038 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11661 remove cons 12051 def 12038 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 11651 ref 963 ref appTerm appTerm 12052 def 11645 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11652 ref appTerm 12053 def 11645 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11651 remove nil cons cons 12054 def 12038 ref cons nil cons cons 893 ref subst eqMp nil 346 ref 5336 ref cons 12055 def 11647 remove cons nil cons cons 12056 def 362 ref subst 12056 remove 412 ref subst 415 ref 99 ref 1158 ref 24 ref 1162 ref 10564 ref appTerm appTerm 1162 ref 10552 ref appTerm appTerm absTerm appTerm absTerm 12057 def 10622 ref appTerm betaConv sym 1158 ref 24 ref 11573 remove appTerm 11554 ref 10552 ref appTerm appTerm absTerm 12058 def 134 ref appTerm betaConv sym 1017 ref nil 77 ref 11553 ref 134 ref appTerm 12059 def 10564 ref appTerm 12060 def nil cons cons nil cons nil cons cons 82 ref subst 11756 remove "_35951" 16 ref var 12061 def 11553 remove 12061 remove varTerm appTerm 10564 ref appTerm absTerm 134 ref appTerm betaConv appThm 11757 remove 12060 remove refl appThm trans 11758 remove 1877 ref assume 12062 def appThm eqMp 11759 remove eqMp 12063 def eqMp appThm nil 77 ref 12059 ref 10552 ref appTerm 12064 def nil cons cons nil cons nil cons cons 82 ref subst 12064 ref assume eqMp 12065 def appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 12058 remove nil cons cons 1353 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 12057 ref nil cons cons 10759 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 12057 remove appTerm nil cons cons 347 ref 10565 remove 10552 ref appTerm 12066 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1319 ref 10647 remove cons 1327 ref 11583 remove cons nil cons cons nil cons cons 10158 ref subst eqMp 12067 def 11842 remove "_36121" 1 ref var 12068 def 56 ref 26 ref 12068 remove varTerm appTerm 2198 ref appTerm appTerm 11602 ref appTerm absTerm 10552 ref appTerm betaConv 12069 def appThm 11843 remove 56 ref 26 ref 10552 ref appTerm 12070 def 2198 ref appTerm appTerm 12071 def 11602 ref appTerm refl appThm trans 11846 ref 12066 remove assume 12072 def appThm eqMp sym 56 ref "_36285" 1 ref var 12073 def 56 ref 26 ref 12073 remove varTerm appTerm 2198 ref appTerm appTerm 11602 ref appTerm absTerm 12074 def 10552 ref appTerm appTerm refl 12074 remove 10550 ref appTerm betaConv appThm 383 ref 12069 remove appThm 56 ref 26 ref 10550 ref appTerm 12075 def 2198 ref appTerm appTerm 11602 ref appTerm 12076 def refl appThm trans 11846 remove 10553 remove assume sym 12077 def appThm eqMp sym 1567 ref 23 ref 11848 ref 172 ref 11550 ref 134 ref appTerm 12078 def 1569 ref appTerm 12079 def appTerm appTerm appTerm 4085 remove 170 ref appTerm 12080 def 1569 ref appTerm appTerm absTerm 12081 def 4075 ref appTerm 12082 def betaConv 1160 ref 14 ref 1567 ref 23 ref 11848 ref 24 ref 169 remove 1163 ref appTerm appTerm 12079 remove appTerm appTerm appTerm 4098 remove appTerm absTerm appTerm absTerm 12083 def 170 ref appTerm 12084 def betaConv 11857 remove 134 ref appTerm 12085 def betaConv 11864 remove nil 11865 remove 347 ref 12085 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 11866 remove 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12083 ref appTerm nil cons cons 347 ref 12084 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12083 remove nil cons cons 404 ref 170 ref nil cons cons nil cons 12086 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12081 ref appTerm nil cons cons 347 ref 12082 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12081 remove nil cons cons 11680 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 11848 remove 172 remove 12078 remove 4075 ref appTerm 12087 def appTerm appTerm appTerm 12080 ref 4075 ref appTerm appTerm nil cons cons 347 ref 12076 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 4154 remove 1017 ref nil 77 ref 601 remove cons nil cons nil cons cons 82 ref subst 171 remove assume eqMp appThm nil 77 ref 12087 ref nil cons cons nil cons nil cons cons 82 ref subst 11688 remove "_35947" 16 ref var 12088 def 11550 remove 12088 remove varTerm appTerm 4075 ref appTerm absTerm 134 ref appTerm betaConv appThm 11689 remove 12087 remove refl appThm trans 11690 remove 12062 ref appThm eqMp 11692 remove eqMp eqMp appThm 1030 ref trans appThm 1030 ref trans appThm 12080 remove betaConv 11869 remove appThm 4074 remove 4076 remove 3944 ref 2281 ref 1486 ref 26 ref 170 ref appTerm 12089 def 2675 ref appTerm 12090 def absTerm 12091 def absTerm 12092 def appTerm 12093 def appTerm 12094 def absTerm 4075 ref appTerm betaConv trans appThm nil 77 ref 12094 ref nil cons 12095 def cons nil cons nil cons cons 833 ref subst trans appThm 383 ref nil 3859 ref 10549 ref nil cons 12096 def cons nil cons 12097 def nil cons cons 4453 ref subst 3877 ref 10549 ref appTerm 12098 def refl 12099 def 11876 ref appThm trans appThm 11636 remove appThm appThm sym nil 346 ref 12095 ref cons 347 ref 56 ref 12098 remove 11877 remove appTerm appTerm 12100 def 11602 remove appTerm nil cons 12101 def cons nil cons cons nil cons cons 12102 def 362 ref subst 12102 remove 412 ref subst 56 ref "_36288" 1 ref var 12103 def 12100 ref 26 ref 12103 remove varTerm appTerm 2198 ref appTerm appTerm absTerm 12104 def 4075 remove appTerm 12105 def appTerm refl 12104 ref 12093 ref appTerm betaConv appThm 383 ref 12105 remove betaConv appThm 12100 remove 26 ref 12093 remove appTerm 2198 ref appTerm appTerm refl appThm trans 12104 remove refl 12094 remove assume appThm eqMp sym 383 ref nil 10483 ref 2328 ref 4494 ref 12096 remove cons nil cons cons 12106 def cons nil cons cons 4524 ref subst 10549 remove 2283 ref appTerm betaConv 12107 def 2788 ref appThm 10548 ref 134 ref appTerm betaConv nil 11886 remove 38 ref 7217 ref 11888 ref appTerm appTerm nil cons cons 3126 remove 10546 ref nil cons 12108 def cons 1353 ref cons cons nil cons cons 11891 remove subst trans trans trans appThm nil 3859 ref 12092 ref nil cons 12109 def cons nil cons nil cons cons 4453 ref subst 3877 ref 12092 ref appTerm refl 11876 ref appThm nil 10483 ref 2328 ref 4494 ref 12109 remove cons nil cons cons cons nil cons cons 4524 ref subst 12092 remove 2283 ref appTerm betaConv 2788 ref appThm 12091 remove 134 ref appTerm betaConv trans trans trans trans appThm sym 20 ref 23 ref 248 ref appTerm 12110 def 7466 remove 708 remove 12089 ref 29 ref appTerm appTerm 12111 def 6661 remove appTerm 12112 def appTerm appTerm absTerm 12113 def 2675 ref appTerm 12114 def betaConv 718 ref 19 ref 20 ref 23 ref 247 remove 719 ref appTerm appTerm 720 ref 12112 remove appTerm appTerm absTerm appTerm absTerm 12115 def 207 ref appTerm 12116 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 246 remove 678 ref appTerm 719 ref appTerm appTerm 720 ref 12111 remove 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12117 def 196 ref appTerm 12118 def betaConv 725 remove 170 remove appTerm 12119 def betaConv 736 remove nil 737 remove 347 ref 12119 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 738 remove 12086 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12117 ref appTerm nil cons cons 347 ref 12118 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12117 remove nil cons cons 6677 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12115 ref appTerm nil cons cons 347 ref 12116 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12115 remove nil cons cons 7474 ref cons nil cons cons 414 ref subst eqMp eqMp 12120 def nil 346 ref 19 ref 12113 ref appTerm nil cons cons 12121 def 347 ref 12114 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12113 ref nil cons cons 12122 def 11523 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 12110 ref 56 ref 10546 ref appTerm 12123 def 12002 ref 12090 ref appTerm 6524 ref 2675 ref appTerm 12124 def appTerm 12125 def appTerm 12126 def appTerm nil cons cons 347 ref 12123 remove 12090 ref appTerm 12127 def nil cons 12128 def cons nil cons 12129 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 646 remove cons nil cons nil cons cons 82 ref subst 248 remove assume eqMp appThm 12130 def 12126 ref refl appThm nil 77 ref 12126 ref nil cons 12131 def cons nil cons nil cons cons 833 ref subst trans appThm 12127 remove refl appThm sym nil 346 ref 12131 ref cons 12129 remove cons nil cons cons 12132 def 362 ref subst 12132 remove 412 ref subst 56 ref "_36291" 2 ref var 12133 def 56 ref 12133 remove varTerm appTerm 12090 ref appTerm absTerm 12134 def 10546 ref appTerm 12135 def appTerm refl 12134 ref 12125 ref appTerm betaConv appThm 383 ref 12135 remove betaConv appThm 56 ref 12125 remove appTerm 12090 ref appTerm 12136 def refl 12137 def appThm trans 12134 remove refl 12126 remove assume appThm eqMp sym nil 11627 ref 347 ref 12136 remove nil cons 12138 def cons nil cons 12139 def cons nil cons cons 403 ref subst 12017 remove 12137 remove appThm sym nil 12022 remove 12139 remove cons nil cons cons 12140 def 362 ref subst 12140 remove 412 ref subst 12025 remove 12026 ref 12027 ref 12090 ref refl appThm 12124 ref refl appThm nil 794 ref 12124 remove nil cons cons 796 ref 12090 remove nil cons cons nil cons cons nil cons cons 817 ref subst trans proveHyp proveHyp eqMp nil 12028 remove 381 ref 12138 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 12131 remove cons 381 ref 12128 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 12095 remove cons 381 ref 12101 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp eqMp nil 379 ref 5336 remove cons 12141 def 12038 ref cons nil cons cons 395 ref subst deductAntisym eqMp nil 12141 ref 381 ref 11652 remove nil cons cons 12142 def 2464 ref 11646 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp eqMp nil 379 ref 11653 remove cons 12143 def 12038 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11642 ref cons 12144 def 12038 remove cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 11639 ref 11645 remove appTerm nil cons cons 347 ref 2107 ref 11600 ref 11604 ref appTerm 12145 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 1930 ref 347 ref 12145 ref nil cons 12146 def cons nil cons 12147 def cons nil cons cons 12148 def 362 ref subst 12148 remove 412 ref subst 3566 ref 1487 ref appTerm 12149 def betaConv 3569 ref nil 3570 ref 347 ref 12149 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3571 ref 3974 remove cons nil cons cons 414 ref subst eqMp eqMp 12150 def nil 346 ref 2403 ref 1927 ref appTerm 99 ref 1442 ref 1926 ref 1448 ref appTerm absTerm 12151 def appTerm 12152 def appTerm nil cons cons 12153 def 12147 ref cons nil cons cons 403 ref subst proveHyp 96 ref 5629 ref nil 1930 ref 347 ref 56 ref 1927 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 12144 ref nil cons nil cons cons 791 ref subst eqMp 12154 def appThm 12152 ref refl appThm nil 77 ref 12152 ref nil cons cons nil cons nil cons cons 5746 ref subst trans appThm 12155 def 12145 ref refl 12156 def appThm sym nil 90 ref "ks" 16 ref var 12157 def 23 ref 12151 ref 12157 ref varTerm 12158 def appTerm 12159 def appTerm 12160 def 12145 ref appTerm 12161 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 12157 ref nil 77 ref 12161 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 12159 ref nil cons 12162 def cons 12163 def 12147 ref cons nil cons cons 12164 def 362 ref subst 12164 remove 412 ref subst 12159 ref betaConv 12159 remove assume eqMp 12165 def nil 346 ref 1926 ref 1377 ref 12158 ref appTerm 12166 def appTerm 12167 def nil cons 12168 def cons 12169 def 12147 ref cons nil cons cons 12170 def 403 ref subst proveHyp 12170 ref 362 ref subst 12170 remove 412 ref subst 11650 ref nil 11654 ref 12147 ref cons nil cons cons 12171 def 403 ref subst proveHyp 12171 ref 362 ref subst 12171 remove 412 ref subst nil 90 ref 11656 ref 11659 ref 12145 ref appTerm 12172 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 11656 ref nil 77 ref 12172 remove nil cons cons nil cons nil cons cons 82 ref subst nil 11662 ref 12147 ref cons nil cons cons 12173 def 362 ref subst 12173 remove 412 ref subst 11664 ref nil 11668 ref 12147 ref cons nil cons cons 12174 def 403 ref subst proveHyp 12174 ref 362 ref subst 12174 remove 412 ref subst 11702 remove 11694 ref 10829 remove appThm 12175 def 11789 remove trans sym 81 ref eqMp nil 346 ref 11671 ref 10781 remove appTerm nil cons cons 347 ref 108 ref "spi'" 1 ref var 12176 def 10832 ref 11665 ref appTerm 12177 def 12176 ref varTerm 12178 def appTerm 12179 def absTerm 12180 def appTerm 12181 def nil cons 12182 def cons nil cons cons nil cons cons 403 ref subst 12183 def proveHyp nil 11795 ref 10839 ref cons nil cons cons 1560 ref subst 12184 def eqMp nil 346 ref 12182 remove cons 12185 def 12147 ref cons nil cons cons 403 ref subst nil 5 ref 12176 ref 23 ref 12180 ref 12178 ref appTerm 12186 def appTerm 12187 def 12145 ref appTerm 12188 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 12176 ref nil 77 ref 12188 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 12186 ref nil cons 12189 def cons 12190 def 12147 ref cons nil cons cons 12191 def 362 ref subst 12191 remove 412 ref subst 12186 ref betaConv 12186 remove assume eqMp 12192 def nil 346 ref 12179 ref nil cons 12193 def cons 12194 def 12147 ref cons nil cons cons 12195 def 403 ref subst proveHyp 12195 ref 362 ref subst 12195 remove 412 ref subst 11767 ref 10887 remove appThm sym 12196 def 1442 ref 24 ref 11682 ref 1447 ref appTerm appTerm 1908 ref 136 ref appTerm appTerm absTerm 12197 def 131 ref appTerm betaConv sym 12198 def 11738 ref 5994 remove 1440 ref appThm 10741 remove trans 12199 def appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 12197 ref nil cons cons 1508 ref cons nil cons cons 1157 ref subst 12200 def proveHyp nil 346 ref 99 ref 12197 remove appTerm nil cons cons 347 ref 11682 ref 136 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst 12201 def proveHyp nil 10372 remove 11698 remove cons nil cons cons 2592 remove subst 12202 def eqMp 12203 def eqMp nil 346 ref 11682 ref 10884 remove appTerm nil cons cons 347 ref 108 ref "cpi'" 1 ref var 12204 def 10890 ref 11657 ref appTerm 12205 def 12204 ref varTerm 12206 def appTerm 12207 def absTerm 12208 def appTerm 12209 def nil cons 12210 def cons nil cons cons nil cons cons 403 ref subst 12211 def proveHyp nil 11775 ref 10897 ref cons nil cons cons 1560 ref subst 12212 def eqMp nil 346 ref 12210 remove cons 12147 ref cons nil cons cons 403 ref subst nil 5 ref 12204 ref 23 ref 12208 ref 12206 ref appTerm 12213 def appTerm 12145 ref appTerm 12214 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 12204 remove nil 77 ref 12214 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 12213 ref nil cons 12215 def cons 12147 ref cons nil cons cons 12216 def 362 ref subst 12216 remove 412 ref subst 12213 ref betaConv 12213 remove assume eqMp nil 346 ref 12207 ref nil cons 12217 def cons 12147 ref cons nil cons cons 12218 def 403 ref subst proveHyp 12218 ref 362 ref subst 12218 remove 412 ref subst 1054 ref 23 ref 11364 remove appTerm 12219 def 56 ref 167 ref 10996 ref appTerm 12220 def 11657 ref appTerm 12221 def 1057 ref appTerm appTerm 11710 ref 11297 ref 11711 ref appTerm 12222 def 1057 ref appTerm appTerm appTerm appTerm absTerm 12223 def 11568 ref appTerm 12224 def betaConv 1158 ref 14 ref 1054 ref 12219 ref 56 ref 12220 remove 1161 ref appTerm 12225 def 1057 ref appTerm appTerm 1466 ref 11297 ref 1468 ref appTerm 1057 ref appTerm 12226 def appTerm 12227 def appTerm appTerm absTerm appTerm absTerm 12228 def 11657 ref appTerm 12229 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 11302 remove 1478 ref appTerm appTerm 1480 ref 12227 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12230 def 10996 ref appTerm 12231 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 11301 remove 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 12226 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12232 def 131 ref appTerm 12233 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 11300 remove 1487 ref appTerm 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 11297 ref 1493 ref appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12234 def 135 ref appTerm 12235 def betaConv 1497 ref 11179 ref appTerm 12236 def betaConv 1500 ref nil 1501 ref 347 ref 12236 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 ref 415 ref 11532 remove cons nil cons 12237 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12234 ref appTerm nil cons cons 347 ref 12235 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12234 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12232 ref appTerm nil cons cons 347 ref 12233 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12232 remove nil cons cons 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12230 ref appTerm nil cons cons 347 ref 12231 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12230 remove nil cons cons 11110 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12228 ref appTerm nil cons cons 347 ref 12229 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12228 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12223 ref appTerm nil cons cons 347 ref 12224 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12223 remove nil cons cons 404 ref 11584 ref cons nil cons 12238 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 12219 remove 56 ref 12221 ref 11568 ref appTerm 12239 def appTerm 12240 def 11710 ref 12222 remove 11568 ref appTerm 12241 def appTerm appTerm appTerm nil cons cons 12147 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 11381 remove appThm 12240 ref refl 12242 def 11738 ref 12241 ref refl appThm nil 77 ref 12241 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm appThm nil 77 ref 12240 remove 12241 remove appTerm nil cons cons nil cons nil cons cons 833 ref subst trans appThm 12156 ref appThm sym 96 ref 12242 remove 11297 ref refl 11746 ref appThm 11568 ref refl appThm nil 77 ref 11297 ref 11665 ref appTerm 11568 ref appTerm 12243 def nil cons cons nil cons nil cons cons 82 ref subst 56 ref "_36784" 16 ref var 12244 def 11297 ref 12244 remove varTerm appTerm 11568 ref appTerm absTerm 12245 def 1161 ref appTerm 12246 def appTerm refl 12247 def 12245 ref 11665 ref appTerm betaConv appThm 383 ref 12246 remove betaConv appThm 12248 def 12243 remove refl appThm trans 12245 remove refl 12249 def 11691 ref appThm eqMp 11569 remove assume 12250 def eqMp eqMp trans appThm nil 77 ref 12239 ref nil cons 12251 def cons nil cons nil cons cons 12252 def 1539 ref subst trans appThm 12156 ref appThm sym nil 346 ref 12251 ref cons 12147 ref cons nil cons cons 12253 def 362 ref subst 12253 remove 412 ref subst 1054 ref 23 ref 10851 remove appTerm 12254 def 56 ref 167 ref 10850 ref appTerm 12255 def 11657 ref appTerm 12256 def 1057 ref appTerm appTerm 11710 ref 10832 ref 11711 ref appTerm 12257 def 1057 ref appTerm appTerm appTerm appTerm absTerm 12258 def 12178 ref appTerm 12259 def betaConv 1158 ref 14 ref 1054 ref 12254 ref 56 ref 12255 remove 1161 ref appTerm 12260 def 1057 ref appTerm appTerm 1466 ref 10832 ref 1468 ref appTerm 1057 ref appTerm 12261 def appTerm 12262 def appTerm appTerm absTerm appTerm absTerm 12263 def 11657 ref appTerm 12264 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 10849 remove 1478 ref appTerm appTerm 1480 ref 12262 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12265 def 10850 ref appTerm 12266 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 10848 remove 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 12261 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12267 def 131 ref appTerm 12268 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 10863 remove 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 10832 ref 1493 ref appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12269 def 135 ref appTerm 12270 def betaConv 1497 ref 10766 ref appTerm 12271 def betaConv 1500 ref nil 1501 ref 347 ref 12271 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 ref 10839 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12269 ref appTerm nil cons cons 347 ref 12270 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12269 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12267 ref appTerm nil cons cons 347 ref 12268 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12267 remove nil cons cons 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12265 ref appTerm nil cons cons 347 ref 12266 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12265 remove nil cons cons 11005 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12263 ref appTerm nil cons cons 347 ref 12264 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12263 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12258 ref appTerm nil cons cons 347 ref 12259 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12258 remove nil cons cons 404 ref 12178 ref nil cons cons nil cons 12272 def cons nil cons cons 414 ref subst eqMp eqMp 12273 def nil 346 ref 12254 remove 56 ref 12256 ref 12178 ref appTerm 12274 def appTerm 12275 def 11710 ref 12257 remove 12178 ref appTerm 12276 def appTerm appTerm appTerm nil cons cons 12277 def 12147 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 11379 remove appThm 12278 def 12275 ref refl 12279 def 11738 ref 12276 ref refl 12280 def appThm nil 77 ref 12276 ref nil cons cons nil cons nil cons cons 1026 ref subst 12281 def trans appThm appThm nil 77 ref 12275 remove 12276 remove appTerm nil cons cons nil cons nil cons cons 833 ref subst 12282 def trans appThm 12156 ref appThm sym 96 ref 12279 ref 10832 ref refl 11746 ref appThm 12178 ref refl appThm nil 77 ref 12193 ref cons nil cons nil cons cons 82 ref subst 12179 ref assume eqMp 12283 def trans appThm nil 77 ref 12274 ref nil cons 12284 def cons nil cons nil cons cons 12285 def 1539 ref subst trans appThm 12286 def 12156 ref appThm sym nil 346 ref 12284 ref cons 12287 def 12147 ref cons nil cons cons 12288 def 362 ref subst 12288 remove 412 ref subst 1054 ref 23 ref 10909 remove appTerm 12289 def 56 ref 167 ref 10908 ref appTerm 12290 def 11657 ref appTerm 12291 def 1057 ref appTerm appTerm 11710 ref 10890 ref 1692 ref 11657 ref appTerm 12292 def appTerm 12293 def 1057 ref appTerm appTerm appTerm appTerm absTerm 12294 def 12206 ref appTerm 12295 def betaConv 1158 ref 14 ref 1054 ref 12289 ref 56 ref 12290 remove 1161 ref appTerm 12296 def 1057 ref appTerm appTerm 1466 ref 10890 ref 1693 remove appTerm 1057 ref appTerm 12297 def appTerm 12298 def appTerm appTerm absTerm appTerm absTerm 12299 def 11657 ref appTerm 12300 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 10907 remove 1478 ref appTerm appTerm 1480 ref 12298 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12301 def 10908 ref appTerm 12302 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 10906 remove 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 12297 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12303 def 131 ref appTerm 12304 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 10920 remove 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 10890 ref 1493 ref appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12305 def 134 ref appTerm 12306 def betaConv 1497 ref 10871 ref appTerm 12307 def betaConv 1500 ref nil 1501 ref 347 ref 12307 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 ref 10897 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12305 ref appTerm nil cons cons 347 ref 12306 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12305 remove nil cons cons 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12303 ref appTerm nil cons cons 347 ref 12304 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12303 remove nil cons cons 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12301 ref appTerm nil cons cons 347 ref 12302 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12301 remove nil cons cons 11033 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12299 ref appTerm nil cons cons 347 ref 12300 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12299 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp 12308 def nil 346 ref 14 ref 12294 ref appTerm nil cons cons 12309 def 347 ref 12295 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12294 ref nil cons cons 12310 def 404 ref 12206 ref nil cons cons nil cons 12311 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 12289 ref 56 ref 12291 ref 12206 ref appTerm 12312 def appTerm 12313 def 11710 ref 12293 ref 12206 ref appTerm 12314 def appTerm appTerm appTerm nil cons cons 12147 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 11382 remove appThm 12315 def 12313 ref refl 12316 def 11738 ref 12314 ref refl appThm nil 77 ref 12314 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm appThm nil 77 ref 12313 remove 12314 remove appTerm nil cons cons nil cons nil cons cons 833 ref subst trans appThm 12156 ref appThm sym 96 ref 12316 remove 10890 ref refl 11745 ref appThm 12317 def 12206 ref refl appThm nil 77 ref 12217 ref cons nil cons nil cons cons 82 ref subst 12207 ref assume eqMp 12318 def trans appThm nil 77 ref 12312 ref nil cons 12319 def cons nil cons nil cons cons 12320 def 1539 ref subst trans appThm 12156 ref appThm sym nil 346 ref 12319 ref cons 12147 ref cons nil cons cons 12321 def 362 ref subst 12321 remove 412 ref subst 6577 ref 56 ref 11025 remove appTerm 24 ref 8836 ref 10850 ref appTerm 12322 def 10908 ref appTerm 12323 def 10996 ref appTerm 12324 def appTerm 12325 def 8838 ref 10850 ref appTerm 12326 def 10908 ref appTerm 12327 def 6578 ref appTerm 12328 def appTerm appTerm absTerm 12329 def 10998 ref appTerm 12330 def betaConv 6583 ref 11 ref 6577 ref 56 ref 11107 remove 6578 ref appTerm appTerm 24 ref 12323 ref 6584 ref appTerm appTerm 12328 remove appTerm appTerm absTerm appTerm absTerm 12331 def 10996 ref appTerm 12332 def betaConv 1477 ref 11 ref 6583 ref 11 ref 6577 ref 56 ref 11105 remove 6578 ref appTerm appTerm 24 ref 12322 remove 1478 ref appTerm 12333 def 6584 ref appTerm appTerm 12326 remove 1478 ref appTerm 12334 def 6578 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12335 def 10908 ref appTerm 12336 def betaConv 8849 ref 10850 ref appTerm 12337 def betaConv 8852 ref nil 8853 ref 347 ref 12337 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 8854 ref 11005 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12335 ref appTerm nil cons cons 347 ref 12336 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12335 remove nil cons cons 11033 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12331 ref appTerm nil cons cons 347 ref 12332 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12331 remove nil cons cons 11110 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12329 ref appTerm nil cons cons 347 ref 12330 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12329 remove nil cons cons 11032 ref cons nil cons cons 414 ref subst eqMp eqMp 12338 def nil 346 ref 56 ref 10999 remove appTerm 12325 ref 12327 ref 10998 ref appTerm 12339 def appTerm 12340 def appTerm nil cons cons 12341 def 12147 ref cons nil cons cons 403 ref subst proveHyp 96 ref 383 ref 11027 remove appThm 12340 ref refl appThm nil 77 ref 12340 remove nil cons 12342 def cons nil cons nil cons cons 846 ref subst trans appThm 12343 def 12156 ref appThm sym nil 346 ref 12342 ref cons 12344 def 12147 ref cons nil cons cons 12345 def 362 ref subst 12345 remove 412 ref subst nil 379 ref 12324 ref nil cons 12346 def cons 381 ref 12339 ref nil cons 12347 def cons nil cons cons nil cons cons 12348 def 395 ref subst 7508 ref 23 ref 12325 ref 24 ref 12274 ref appTerm 12349 def 24 ref 12312 ref appTerm 12350 def 12221 remove 7512 ref appTerm 12351 def appTerm appTerm appTerm appTerm 4658 ref 12178 ref appTerm 12352 def 12206 ref appTerm 12353 def 7512 ref appTerm appTerm absTerm 12354 def 11568 ref appTerm 12355 def betaConv 1567 ref 14 ref 7508 ref 23 ref 12325 ref 12349 ref 24 ref 12291 ref 1569 ref appTerm appTerm 12356 def 12351 remove appTerm 12357 def appTerm appTerm appTerm 12352 ref 1569 ref appTerm 7512 ref appTerm appTerm absTerm appTerm absTerm 12358 def 12206 ref appTerm 12359 def betaConv 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 12325 ref 24 ref 12256 remove 1163 ref appTerm appTerm 12360 def 12357 remove appTerm appTerm appTerm 4658 ref 1163 ref appTerm 1569 ref appTerm 7512 ref appTerm 12361 def appTerm absTerm appTerm absTerm appTerm absTerm 12362 def 12178 ref appTerm 12363 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 12325 ref 24 ref 12260 remove 1163 ref appTerm appTerm 12364 def 24 ref 12296 remove 1569 ref appTerm appTerm 12365 def 12225 remove 7512 ref appTerm appTerm appTerm appTerm appTerm 12361 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12366 def 11657 ref appTerm 12367 def betaConv 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 12323 remove 5397 ref appTerm appTerm 12364 ref 12365 ref 7513 ref appTerm appTerm 12368 def appTerm appTerm 12361 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12369 def 10996 remove appTerm 12370 def betaConv 1477 ref 11 ref 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 12333 remove 5397 ref appTerm appTerm 12364 ref 7514 ref appTerm 12371 def appTerm appTerm 12361 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12372 def 10908 ref appTerm 12373 def betaConv 415 ref 11 ref 1477 ref 11 ref 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 8837 remove 5397 ref appTerm appTerm 7515 remove appTerm appTerm 12361 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12374 def 10850 ref appTerm 12375 def betaConv nil 11 ref 12374 ref appTerm 12376 def axiom 12377 def nil 346 ref 12376 remove nil cons cons 12378 def 347 ref 12375 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12374 ref nil cons cons 12379 def 11005 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12372 ref appTerm nil cons cons 347 ref 12373 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12372 remove nil cons cons 11033 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12369 ref appTerm nil cons cons 347 ref 12370 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12369 remove nil cons cons 11110 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12366 ref appTerm nil cons cons 347 ref 12367 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12366 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12362 ref appTerm nil cons cons 347 ref 12363 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12362 remove nil cons cons 12272 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12358 ref appTerm nil cons cons 347 ref 12359 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12358 remove nil cons cons 12311 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12354 ref appTerm nil cons cons 347 ref 12355 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12354 remove nil cons cons 12238 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 12325 remove 12349 ref 12350 remove 12239 ref appTerm appTerm appTerm appTerm 12353 ref 11568 ref appTerm 12380 def appTerm nil cons cons 12147 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1017 ref nil 77 ref 12346 remove cons nil cons nil cons cons 82 ref subst 12324 remove assume eqMp appThm 1017 ref 12285 remove 82 ref subst 12274 remove assume eqMp appThm 12381 def 1017 ref 12320 remove 82 ref subst 12312 remove assume eqMp appThm 12252 remove 82 ref subst 12239 remove assume eqMp appThm 1030 ref trans appThm 1030 ref trans appThm 1030 ref trans appThm 12380 ref refl appThm nil 77 ref 12380 ref nil cons 12382 def cons nil cons nil cons cons 12383 def 833 ref subst trans appThm 12156 ref appThm sym nil 346 ref 12382 ref cons 12147 ref cons nil cons cons 12384 def 362 ref subst 12384 remove 412 ref subst 20 ref 23 ref 12380 ref appTerm 12385 def 56 ref 11603 remove 29 ref appTerm appTerm 38 ref 56 ref 26 ref 12178 ref appTerm 12386 def 29 ref appTerm 12387 def appTerm 12388 def 26 ref 12206 ref appTerm 12389 def 29 ref appTerm appTerm appTerm 12390 def appTerm appTerm absTerm 12391 def 2198 ref appTerm 12392 def betaConv 718 ref 19 ref 20 ref 23 ref 12353 remove 719 ref appTerm appTerm 720 ref 12390 remove appTerm appTerm absTerm appTerm absTerm 12393 def 11568 ref appTerm 12394 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 12352 remove 678 ref appTerm 719 ref appTerm appTerm 720 ref 38 ref 12388 remove 680 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12395 def 12206 ref appTerm 12396 def betaConv 6637 ref 12178 ref appTerm 12397 def betaConv 6640 ref nil 6641 ref 347 ref 12397 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 6642 ref 12272 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12395 ref appTerm nil cons cons 347 ref 12396 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12395 remove nil cons cons 12311 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12393 ref appTerm nil cons cons 347 ref 12394 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12393 remove nil cons cons 12238 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12391 ref appTerm nil cons cons 347 ref 12392 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12391 remove nil cons cons 2598 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 12385 remove 56 ref 11604 ref appTerm 38 ref 56 ref 12386 ref 2198 ref appTerm 12398 def appTerm 12389 ref 2198 ref appTerm appTerm appTerm 12399 def appTerm 12400 def appTerm nil cons cons 12147 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 12383 remove 82 ref subst 12380 remove assume eqMp appThm 12400 ref refl appThm nil 77 ref 12400 ref nil cons 12401 def cons nil cons nil cons cons 833 ref subst trans appThm 12156 remove appThm sym nil 346 ref 12401 ref cons 12147 ref cons nil cons cons 12402 def 362 ref subst 12402 remove 412 ref subst 56 ref "_37458" 2 ref var 12403 def 11600 ref 12403 remove varTerm appTerm absTerm 12404 def 11604 ref appTerm appTerm refl 12404 ref 12399 ref appTerm betaConv appThm 383 ref 11641 remove appThm 11600 remove 12399 remove appTerm 12405 def refl appThm trans 12404 remove refl 12400 remove assume appThm eqMp sym 11423 remove 12158 ref appTerm 12406 def betaConv 11425 remove 2283 ref appTerm 12407 def betaConv 11427 ref 2198 ref appTerm 12408 def betaConv nil 346 ref 19 ref 11427 remove appTerm nil cons cons 347 ref 12408 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 11428 remove 2598 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11429 remove cons 347 ref 12407 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 11430 remove 2329 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11431 remove cons 347 ref 12406 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 11432 remove 700 ref 12158 ref nil cons 12409 def cons nil cons 12410 def cons nil cons cons 414 ref subst eqMp eqMp 12411 def nil 346 ref 23 ref 2667 ref 2668 ref 12166 ref appTerm 12412 def appTerm 12413 def appTerm 99 ref 11415 ref 11420 remove 11421 ref 2668 ref 12158 ref appTerm appTerm 12414 def appTerm 12415 def absTerm 12416 def appTerm 12417 def appTerm 12418 def nil cons cons 12419 def 347 ref 12405 ref nil cons 12420 def cons nil cons 12421 def cons nil cons cons 403 ref subst proveHyp 56 ref "_36464" 16 ref var 12422 def 2667 remove 2668 ref 12422 remove varTerm appTerm appTerm absTerm 12423 def 1487 ref appTerm appTerm refl 12423 ref 12166 ref appTerm betaConv appThm 383 ref 11624 remove appThm 12413 ref refl appThm trans 12423 remove refl 12167 remove assume 12424 def appThm eqMp 11633 ref eqMp 12425 def nil 346 ref 12413 ref nil cons cons 12426 def 347 ref 23 ref 12417 ref appTerm 12427 def 12405 ref appTerm 12428 def nil cons cons nil cons 12429 def cons nil cons cons 412 ref subst proveHyp nil 90 ref 11415 ref 23 ref 12416 ref 11417 ref appTerm 12430 def appTerm 12431 def 12405 ref appTerm 12432 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 11415 ref nil 77 ref 12432 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 12430 ref nil cons 12433 def cons 12434 def 12421 ref cons nil cons cons 12435 def 362 ref subst 12435 remove 412 ref subst 12430 ref betaConv 12430 remove assume eqMp 12436 def nil 346 ref 12415 remove nil cons 12437 def cons 12438 def 12421 remove cons nil cons cons 12439 def 403 ref subst proveHyp 12439 ref 362 ref subst 12439 remove 412 ref subst nil 11506 remove 381 ref 12414 ref nil cons 12440 def cons nil cons cons nil cons cons 12441 def 395 ref subst 12442 def 12441 remove 428 ref subst 12443 def 56 ref "_37460" 16 ref var 12444 def 56 ref 11599 ref 12444 remove varTerm 12445 def appTerm appTerm 38 ref 56 ref 12386 ref 12445 ref appTerm appTerm 12389 ref 12445 remove appTerm appTerm appTerm appTerm absTerm 12446 def 2198 ref appTerm 12447 def appTerm refl 12446 ref 11418 ref appTerm betaConv appThm 383 ref 12447 remove betaConv appThm 56 ref 11599 ref 11418 ref appTerm appTerm 12448 def 38 ref 56 ref 12386 ref 11418 ref appTerm 12449 def appTerm 12450 def 12389 ref 11418 ref appTerm 12451 def appTerm appTerm appTerm 12452 def refl 12453 def appThm trans 12446 remove refl 11469 ref appThm eqMp sym 11767 ref 10740 remove appThm sym 12454 def 12203 ref eqMp nil 346 ref 11682 ref 10736 remove appTerm nil cons cons 347 ref 108 ref 10696 ref 10743 ref 11657 ref appTerm 12455 def 10697 ref appTerm 12456 def absTerm 12457 def appTerm 12458 def nil cons 12459 def cons nil cons cons nil cons cons 403 ref subst 12460 def proveHyp nil 11775 ref 10751 ref cons nil cons cons 1560 ref subst 12461 def eqMp nil 346 ref 12459 remove cons 347 ref 12452 ref nil cons 12462 def cons nil cons 12463 def cons nil cons cons 403 ref subst nil 5 ref 10696 ref 23 ref 12457 ref 10697 ref appTerm 12464 def appTerm 12452 ref appTerm 12465 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10696 ref nil 77 ref 12465 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 12464 ref nil cons 12466 def cons 12463 ref cons nil cons cons 12467 def 362 ref subst 12467 remove 412 ref subst 12464 ref betaConv 12464 remove assume eqMp nil 346 ref 12456 ref nil cons 12468 def cons 12463 ref cons nil cons cons 12469 def 403 ref subst proveHyp 12469 ref 362 ref subst 12469 remove 412 ref subst 1567 ref 23 ref 11322 ref 24 ref 11750 ref appTerm 12470 def 12177 remove 1569 ref appTerm 12471 def appTerm appTerm appTerm 270 ref 10564 ref appTerm 12472 def 1569 ref appTerm appTerm absTerm 12473 def 12178 ref appTerm 12474 def betaConv 1160 ref 14 ref 1567 ref 23 ref 11322 ref 24 ref 11749 remove 1163 ref appTerm appTerm 12471 remove appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm 12475 def 10564 ref appTerm 12476 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 11322 ref 24 ref 11554 remove 1163 ref appTerm appTerm 12477 def 10832 remove 1161 ref appTerm 1569 ref appTerm appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm appTerm absTerm 12478 def 11665 ref appTerm 12479 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 24 ref 10765 remove 1478 ref appTerm appTerm 12477 remove 1581 ref appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12480 def 10766 remove appTerm 12481 def betaConv 1741 ref 10622 remove appTerm 12482 def betaConv 1743 ref nil 1745 ref 347 ref 12482 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1781 ref 10759 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12480 ref appTerm nil cons cons 347 ref 12481 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12480 remove nil cons cons 10839 ref cons nil cons cons 414 ref subst eqMp eqMp 12483 def nil 346 ref 19 ref 12478 ref appTerm nil cons cons 12484 def 347 ref 12479 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12478 ref nil cons cons 12485 def 11679 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12475 ref appTerm nil cons cons 347 ref 12476 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12475 remove nil cons cons 11728 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12473 ref appTerm nil cons cons 347 ref 12474 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12473 remove nil cons cons 12272 ref cons nil cons cons 414 ref subst eqMp eqMp 12486 def nil 346 ref 23 ref 11322 ref 12470 remove 12179 remove appTerm appTerm appTerm 12472 ref 12178 ref appTerm 12487 def appTerm nil cons cons 12488 def 12463 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10777 ref 1017 ref 11760 remove appThm 12283 ref appThm 1030 ref trans appThm 1030 ref trans appThm 12487 ref refl 12489 def appThm nil 77 ref 12487 ref nil cons 12490 def cons nil cons nil cons cons 12491 def 833 ref subst 12492 def trans appThm 12453 ref appThm sym nil 346 ref 12490 ref cons 12493 def 12463 ref cons nil cons cons 12494 def 362 ref subst 12494 remove 412 ref subst 20 ref 23 ref 12487 ref appTerm 12495 def 56 ref 12386 ref 1791 ref appTerm appTerm 11599 ref 29 ref appTerm 12496 def appTerm appTerm absTerm 12497 def 11417 ref appTerm 12498 def betaConv 677 ref 19 ref 20 ref 23 ref 12472 remove 678 ref appTerm appTerm 1792 ref 12496 remove appTerm appTerm absTerm appTerm absTerm 12499 def 12178 ref appTerm 12500 def betaConv 1803 ref 10564 ref appTerm 12501 def betaConv 1805 ref nil 1807 ref 347 ref 12501 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 11728 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12499 ref appTerm nil cons cons 347 ref 12500 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12499 remove nil cons cons 12272 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12497 ref appTerm nil cons cons 347 ref 12498 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12497 remove nil cons cons 700 ref 11433 remove cons nil cons 12502 def cons nil cons cons 414 ref subst eqMp eqMp 12503 def nil 346 ref 12495 remove 56 ref 12386 ref 130 ref 11417 ref appTerm 135 ref appTerm 12504 def appTerm appTerm 11599 remove 11417 ref appTerm 12505 def appTerm appTerm nil cons cons 12506 def 12463 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 12491 remove 82 ref subst 12487 remove assume eqMp appThm 383 ref 12386 ref refl nil 11474 remove nil cons cons 12507 def 1439 ref subst 12508 def appThm appThm 12505 ref refl appThm appThm nil 77 ref 12450 remove 12505 ref appTerm 12509 def nil cons 12510 def cons nil cons nil cons cons 833 ref subst trans appThm 12511 def 12453 remove appThm sym nil 346 ref 12510 ref cons 12512 def 12463 remove cons nil cons cons 12513 def 362 ref subst 12513 remove 412 ref subst 56 ref "_37640" 2 ref var 12514 def 12448 ref 38 ref 56 ref 12514 remove varTerm appTerm 12451 ref appTerm appTerm appTerm absTerm 12515 def 12449 ref appTerm 12516 def appTerm refl 12515 ref 12505 ref appTerm betaConv appThm 383 ref 12516 remove betaConv appThm 12448 ref 38 ref 56 ref 12505 ref appTerm 12517 def 12451 ref appTerm appTerm appTerm 12518 def refl 12519 def appThm trans 12515 remove refl 12509 remove assume 12520 def appThm eqMp sym 1567 ref 23 ref 11327 ref 24 ref 12456 ref appTerm 12521 def 12205 ref 1569 ref appTerm 12522 def appTerm appTerm appTerm 270 ref 10697 ref appTerm 12523 def 1569 ref appTerm appTerm absTerm 12524 def 12206 ref appTerm 12525 def betaConv 1160 ref 14 ref 1567 ref 23 ref 11327 ref 24 ref 12455 ref 1163 ref appTerm appTerm 12522 ref appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm 12526 def 10697 ref appTerm 12527 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 11327 ref 24 ref 10743 ref 1161 ref appTerm 12528 def 1163 ref appTerm appTerm 12529 def 10890 remove 1161 ref appTerm 1569 ref appTerm appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm appTerm absTerm 12530 def 11657 ref appTerm 12531 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 24 ref 10870 remove 1478 ref appTerm appTerm 12529 remove 1581 ref appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12532 def 10871 remove appTerm 12533 def betaConv 1741 ref 10716 ref appTerm 12534 def betaConv 1743 ref nil 1745 ref 347 ref 12534 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1781 ref 10751 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12532 ref appTerm nil cons cons 347 ref 12533 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12532 remove nil cons cons 10897 ref cons nil cons cons 414 ref subst eqMp eqMp 12535 def nil 346 ref 19 ref 12530 ref appTerm nil cons cons 12536 def 347 ref 12531 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12530 ref nil cons cons 12537 def 11727 ref cons nil cons cons 414 ref subst eqMp eqMp 12538 def nil 346 ref 14 ref 12526 ref appTerm nil cons cons 12539 def 347 ref 12527 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12526 ref nil cons cons 12540 def 404 ref 10697 ref nil cons 12541 def cons nil cons 12542 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12524 ref appTerm nil cons cons 347 ref 12525 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12524 remove nil cons cons 12311 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 11327 ref 12521 remove 12207 remove appTerm appTerm appTerm 12523 ref 12206 ref appTerm 12543 def appTerm nil cons cons 347 ref 12518 remove nil cons 12544 def cons nil cons 12545 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10882 ref 1017 ref nil 77 ref 12468 ref cons nil cons nil cons cons 82 ref subst 12456 ref assume eqMp 12546 def appThm 12318 remove appThm 1030 ref trans appThm 1030 ref trans appThm 12543 ref refl appThm nil 77 ref 12543 ref nil cons 12547 def cons nil cons nil cons cons 12548 def 833 ref subst trans appThm 12519 ref appThm sym nil 346 ref 12547 ref cons 12545 ref cons nil cons cons 12549 def 362 ref subst 12549 remove 412 ref subst 20 ref 23 ref 12543 ref appTerm 12550 def 56 ref 12389 ref 1791 ref appTerm appTerm 26 ref 10697 ref appTerm 12551 def 29 ref appTerm 12552 def appTerm appTerm absTerm 12553 def 11417 ref appTerm 12554 def betaConv 677 ref 19 ref 20 ref 23 ref 12523 remove 678 ref appTerm appTerm 1792 ref 12552 remove appTerm appTerm absTerm appTerm absTerm 12555 def 12206 remove appTerm 12556 def betaConv 1803 ref 10697 ref appTerm 12557 def betaConv 1805 ref nil 1807 ref 347 ref 12557 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 12542 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12555 ref appTerm nil cons cons 347 ref 12556 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12555 remove nil cons cons 12311 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12553 ref appTerm nil cons cons 347 ref 12554 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12553 remove nil cons cons 12502 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 12550 remove 56 ref 12389 ref 12504 ref appTerm appTerm 12551 ref 11417 ref appTerm 12558 def appTerm appTerm nil cons cons 12545 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 12548 remove 82 ref subst 12543 remove assume eqMp appThm 383 ref 12389 remove refl 12508 ref appThm appThm 12558 ref refl 12559 def appThm appThm nil 77 ref 56 ref 12451 ref appTerm 12558 ref appTerm 12560 def nil cons 12561 def cons nil cons nil cons cons 833 ref subst trans appThm 12519 remove appThm sym nil 346 ref 12561 ref cons 12545 remove cons nil cons cons 12562 def 362 ref subst 12562 remove 412 ref subst 56 ref "_37642" 2 ref var 12563 def 12448 ref 38 ref 12517 ref 12563 remove varTerm appTerm appTerm appTerm absTerm 12564 def 12451 remove appTerm 12565 def appTerm refl 12564 ref 12558 ref appTerm betaConv appThm 383 ref 12565 remove betaConv appThm 12448 remove 38 ref 12517 remove 12558 ref appTerm appTerm appTerm 12566 def refl 12567 def appThm trans 12564 remove refl 12560 remove assume appThm eqMp sym 11729 ref nil 11733 ref 347 ref 12566 ref nil cons 12568 def cons nil cons 12569 def cons nil cons cons 403 ref subst proveHyp 11742 remove 12567 ref appThm sym 11764 remove 12567 ref appThm sym nil 11765 ref 12569 ref cons nil cons cons 12570 def 362 ref subst 12570 remove 412 ref subst 11777 remove nil 11778 ref 12569 ref cons nil cons cons 403 ref subst nil 5 ref 10562 ref 11780 ref 12566 ref appTerm 12571 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10562 ref nil 77 ref 12571 remove nil cons cons nil cons nil cons cons 82 ref subst nil 11783 ref 12569 ref cons nil cons cons 12572 def 362 ref subst 12572 remove 412 ref subst 11785 ref nil 11787 ref 12569 ref cons nil cons cons 12573 def 403 ref subst proveHyp 12573 ref 362 ref subst 12573 remove 412 ref subst 11831 ref nil 11832 ref 12569 ref cons nil cons cons 403 ref subst proveHyp 11836 ref 12567 remove appThm sym nil 11837 ref 12569 remove cons nil cons cons 12574 def 362 ref subst 12574 remove 412 ref subst 56 ref "_37644" 1 ref var 12575 def 56 ref 26 ref 12575 remove varTerm appTerm 12576 def 11418 ref appTerm appTerm 38 ref 56 ref 12576 remove 11417 ref appTerm appTerm 12558 ref appTerm appTerm appTerm absTerm 12577 def 10564 ref appTerm 12578 def appTerm refl 12577 ref 10571 ref appTerm betaConv appThm 383 ref 12578 remove betaConv appThm 56 ref 11844 ref 11418 ref appTerm appTerm 38 ref 56 ref 11844 remove 11417 ref appTerm 12579 def appTerm 12558 ref appTerm appTerm appTerm refl appThm trans 12577 remove refl 11847 ref appThm eqMp sym 383 ref nil 2195 ref 11418 ref nil cons cons 12580 def 11872 ref cons nil cons cons 4453 ref subst 11874 ref 56 ref "_37618" 16 ref var 12581 def 2658 ref 2659 ref 12581 remove varTerm appTerm appTerm 12412 ref appTerm absTerm 12582 def 2198 ref appTerm 12583 def appTerm refl 12582 ref 11418 ref appTerm betaConv appThm 383 ref 12583 remove betaConv appThm 2658 ref 2659 ref 11418 ref appTerm appTerm 12584 def 12412 remove appTerm refl appThm trans 12582 remove refl 11469 ref appThm eqMp 12425 ref eqMp 12585 def appThm nil 2844 ref 12166 ref nil cons 12586 def cons 12587 def 11884 ref cons nil cons cons 4524 ref subst 11885 ref 12166 ref refl 12588 def appThm 10569 ref 12166 ref appTerm betaConv 753 ref nil 1442 ref 12409 ref cons 12589 def nil cons nil cons cons 12590 def 4004 ref subst 12591 def appThm 12592 def 10568 ref refl 12593 def appThm 10567 ref refl 12594 def 3249 ref 10406 ref 12590 ref 1442 ref 122 ref 4042 ref 1448 ref appTerm 135 ref appTerm appTerm 1447 ref appTerm absTerm 12595 def 1447 ref appTerm 12596 def betaConv nil 19 ref 12595 ref appTerm 12597 def axiom nil 346 ref 12597 remove nil cons cons 347 ref 12596 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12595 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 12598 def subst appThm appThm 12599 def appThm appThm nil 794 ref 10567 ref 1062 ref 3061 ref 12158 ref appTerm appTerm 12600 def appTerm 12601 def nil cons cons 796 ref 11889 ref cons nil cons 12602 def cons nil cons cons 6045 ref subst trans trans trans trans trans trans appThm 839 ref 383 ref nil 11434 ref 11872 remove cons nil cons cons 4453 ref subst 11874 remove 12414 remove assume 12603 def appThm nil 2844 ref 12409 ref cons 12604 def 11884 remove cons nil cons cons 4524 ref subst 11885 remove 12158 ref refl 12605 def appThm 10569 remove 12158 ref appTerm betaConv trans trans trans trans 12606 def appThm 12559 remove appThm appThm appThm sym 11767 ref 5995 ref appThm sym 12607 def 12203 ref eqMp nil 346 ref 11682 ref 162 ref appTerm nil cons cons 347 ref 108 ref 10695 ref 205 ref 11657 ref appTerm 12608 def 10700 ref appTerm 12609 def absTerm 12610 def appTerm 12611 def nil cons 12612 def cons nil cons cons nil cons cons 403 ref subst 12613 def proveHyp nil 11775 ref 5471 ref cons nil cons cons 1560 ref subst 12614 def eqMp nil 346 ref 12612 remove cons 347 ref 56 ref 12601 remove appTerm 12615 def 38 ref 56 ref 707 ref 122 ref 12158 ref appTerm 12616 def 134 ref appTerm 12617 def appTerm 12618 def 10568 ref appTerm 12619 def 10567 ref 1062 ref 3061 ref 4042 ref 12158 ref appTerm 12620 def 135 ref appTerm appTerm appTerm 12621 def appTerm 12622 def appTerm 12623 def appTerm 12624 def 12558 remove appTerm appTerm appTerm 12625 def nil cons 12626 def cons nil cons 12627 def cons nil cons cons 403 ref subst nil 5 ref 10695 ref 23 ref 12610 ref 10700 ref appTerm 12628 def appTerm 12625 ref appTerm 12629 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10695 ref nil 77 ref 12629 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 12628 ref nil cons 12630 def cons 12627 ref cons nil cons cons 12631 def 362 ref subst 12631 remove 412 ref subst 12628 ref betaConv 12628 remove assume eqMp nil 346 ref 12609 ref nil cons 12632 def cons 12627 ref cons nil cons cons 12633 def 403 ref subst proveHyp 12633 ref 362 ref subst 12633 remove 412 ref subst 1567 ref 23 ref 24 ref 10717 remove appTerm 12634 def 24 ref 12609 ref appTerm 12635 def 12455 ref 1569 ref appTerm 12636 def appTerm appTerm appTerm 10709 ref appTerm absTerm 12637 def 10697 ref appTerm 12638 def betaConv 1160 ref 14 ref 1567 ref 23 ref 12634 ref 24 ref 12608 ref 1163 ref appTerm appTerm 12639 def 12636 ref appTerm appTerm appTerm 10712 ref appTerm absTerm appTerm absTerm 12640 def 10700 ref appTerm 12641 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 12634 ref 24 ref 5981 ref 1163 ref appTerm appTerm 12642 def 12528 ref 1569 ref appTerm 12643 def appTerm appTerm appTerm 10712 ref appTerm absTerm appTerm absTerm 12644 def appTerm 12645 def absTerm 12646 def 11657 ref appTerm 12647 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 24 ref 10715 remove 1478 ref appTerm appTerm 12642 ref 1581 remove appTerm 12648 def appTerm appTerm 10712 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12649 def 10716 ref appTerm 12650 def betaConv 415 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 24 ref 10729 remove 1478 ref appTerm appTerm 1585 remove appTerm appTerm 10712 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12651 def 161 ref appTerm 12652 def betaConv 11824 remove 10707 ref appTerm 12653 def betaConv 11827 remove nil 11828 remove 347 ref 12653 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4092 remove 11829 remove 10735 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12651 ref appTerm nil cons cons 347 ref 12652 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12651 remove nil cons cons 5471 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12649 ref appTerm nil cons cons 347 ref 12650 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12649 remove nil cons cons 10751 ref cons nil cons cons 414 ref subst eqMp eqMp 12654 def nil 346 ref 19 ref 12646 ref appTerm nil cons cons 12655 def 347 ref 12647 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12646 ref nil cons cons 12656 def 11727 ref cons nil cons cons 414 ref subst eqMp eqMp 12657 def nil 346 ref 14 ref 12640 ref appTerm nil cons cons 12658 def 347 ref 12641 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12640 ref nil cons cons 12659 def 404 ref 10700 ref nil cons cons nil cons 12660 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12637 ref appTerm nil cons cons 347 ref 12638 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12637 remove nil cons cons 12542 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 12634 ref 12635 ref 12456 remove appTerm appTerm appTerm 10708 remove 10697 ref appTerm 12661 def appTerm nil cons cons 12627 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10731 ref 1017 ref nil 77 ref 12632 ref cons nil cons nil cons cons 82 ref subst 12609 remove assume eqMp appThm 12662 def 12546 remove appThm 1030 ref trans appThm 1030 ref trans appThm 10711 remove 10697 ref refl 12663 def appThm 10706 remove 10697 ref appTerm betaConv trans 12664 def appThm nil 77 ref 10705 ref nil cons 12665 def cons nil cons nil cons cons 833 ref subst 12666 def trans appThm 12625 ref refl appThm sym nil 346 ref 12665 ref cons 12667 def 12627 remove cons nil cons cons 12668 def 362 ref subst 12668 remove 412 ref subst 56 ref "_37646" 1 ref var 12669 def 12615 ref 38 ref 12624 ref 26 ref 12669 remove varTerm appTerm 11417 ref appTerm appTerm appTerm appTerm absTerm 12670 def 10697 ref appTerm 12671 def appTerm refl 12670 ref 10704 ref appTerm betaConv appThm 383 ref 12671 remove betaConv appThm 12615 ref 38 ref 12624 ref 26 ref 10704 ref appTerm 12672 def 11417 ref appTerm appTerm appTerm appTerm refl appThm trans 12670 remove refl 10705 remove assume 12673 def appThm eqMp sym 12615 ref refl 12674 def 839 ref 12624 remove refl nil 11434 ref 3859 ref 10703 ref nil cons 12675 def cons nil cons 12676 def cons nil cons cons 4453 ref subst 3877 ref 10703 ref appTerm refl 12677 def 12603 ref appThm nil 12604 ref 2328 ref 4494 ref 12675 remove cons nil cons cons 12678 def cons nil cons cons 4524 ref subst 10703 remove 2283 ref appTerm betaConv 12679 def 12605 ref appThm 10702 ref 12158 ref appTerm betaConv trans trans trans trans appThm appThm appThm sym 383 ref "_37648" 2 ref var 12680 def 12615 ref 38 ref 56 ref 12680 remove varTerm appTerm 24 ref 38 ref 12617 ref appTerm 12681 def appTerm 12682 def 10701 ref 12621 ref appTerm 12683 def appTerm 12684 def appTerm appTerm appTerm absTerm 12685 def 12623 ref appTerm betaConv appThm 1017 ref 23 ref 12617 ref appTerm 12686 def refl 12687 def 12685 ref 10568 remove appTerm betaConv appThm appThm 23 ref 12681 ref appTerm 12688 def refl 12689 def 12685 ref 12622 ref appTerm betaConv appThm appThm appThm nil 6161 ref 12622 ref nil cons cons 6162 ref 11889 ref cons 5693 remove 12617 ref nil cons 12690 def cons nil cons 12691 def cons cons nil cons cons nil 6166 ref 12685 remove nil cons cons nil cons nil cons cons 6167 ref subst subst eqMp sym nil 346 ref 12690 ref cons 12692 def 347 ref 12615 ref 38 ref 11902 ref 12684 ref appTerm appTerm appTerm 12693 def nil cons 12694 def cons nil cons cons nil cons cons 12695 def 362 ref subst 12695 remove 412 ref subst 56 ref "_37650" 2 ref var 12696 def 12615 ref 38 ref 11902 ref 24 ref 38 ref 12696 remove varTerm appTerm appTerm 12683 ref appTerm appTerm appTerm appTerm absTerm 12697 def 12617 ref appTerm 12698 def appTerm refl 12697 ref 67 ref appTerm betaConv appThm 383 ref 12698 remove betaConv appThm 12615 ref 38 ref 11902 ref 5356 remove 12683 ref appTerm appTerm appTerm appTerm refl appThm trans 12697 remove refl nil 77 ref 12690 ref cons nil cons nil cons cons 82 ref subst 12617 ref assume 12699 def eqMp 12700 def appThm eqMp sym 383 ref 12594 ref 3249 ref 10406 ref 12699 ref appThm 12701 def 3250 remove trans appThm 12702 def appThm appThm 839 ref 11902 remove refl 5357 remove 10701 ref refl 12703 def 3249 ref 10406 ref 7772 ref 12699 ref appThm 12704 def 3255 ref appThm appThm appThm 12705 def appThm appThm nil 77 ref 10701 ref 11888 ref appTerm 12706 def nil cons cons nil cons nil cons cons 3159 ref subst 12707 def trans appThm nil 77 ref 11889 ref cons nil cons nil cons cons 12708 def 826 ref subst trans appThm 12708 ref 3822 ref subst trans appThm nil 789 ref 11889 remove cons nil cons nil cons cons 2336 ref subst trans sym 81 ref eqMp eqMp eqMp nil 379 ref 12690 ref cons 12709 def 381 ref 12694 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 12686 ref 12693 remove appTerm nil cons cons 347 ref 12688 ref 12615 ref 38 ref 56 ref 12622 remove appTerm 12710 def 12684 remove appTerm appTerm appTerm 12711 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 12681 remove nil cons 12712 def cons 12713 def 347 ref 12711 remove nil cons 12714 def cons nil cons cons nil cons cons 12715 def 362 ref subst 12715 remove 412 ref subst 56 ref "_37652" 2 ref var 12716 def 12615 ref 38 ref 12710 ref 24 ref 38 ref 12716 remove varTerm appTerm appTerm 12683 ref appTerm appTerm appTerm appTerm absTerm 12717 def 12617 ref appTerm 12718 def appTerm refl 12717 ref 664 ref appTerm betaConv appThm 383 ref 12718 remove betaConv appThm 12615 ref 38 ref 12710 ref 5348 remove 12683 ref appTerm appTerm appTerm appTerm 12719 def refl appThm trans 12717 remove refl nil 12713 ref 347 ref 56 ref 12617 ref appTerm 664 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 12709 ref nil cons nil cons cons 791 ref subst eqMp 12720 def appThm eqMp sym 3566 ref 12158 ref appTerm 12721 def betaConv 3569 ref nil 3570 ref 347 ref 12721 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3571 ref 12410 ref cons nil cons cons 414 ref subst eqMp eqMp 12722 def nil 346 ref 2403 ref 12617 ref appTerm 99 ref 1442 ref 12616 ref 1448 ref appTerm absTerm 12723 def appTerm 12724 def appTerm nil cons cons 12725 def 347 ref 12719 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 5629 ref 12720 ref appThm 12724 ref refl appThm nil 77 ref 12724 ref nil cons cons nil cons nil cons cons 5746 remove subst trans appThm 12726 def 12674 remove 839 ref 12710 ref refl 5350 remove 12683 ref refl appThm nil 77 ref 12683 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm appThm appThm appThm sym nil 90 ref "kss" 16 ref var 12727 def 23 ref 12723 ref 12727 ref varTerm 12728 def appTerm 12729 def appTerm 12730 def 12615 remove 38 ref 12710 remove 12683 remove appTerm appTerm appTerm 12731 def appTerm 12732 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 12727 ref nil 77 ref 12732 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 12729 ref nil cons 12733 def cons 12734 def 347 ref 12731 ref nil cons 12735 def cons nil cons 12736 def cons nil cons cons 12737 def 362 ref subst 12737 remove 412 ref subst 12729 ref betaConv 12729 remove assume eqMp 12738 def nil 346 ref 12616 ref 1377 ref 12728 ref appTerm 12739 def appTerm 12740 def nil cons 12741 def cons 12742 def 12736 remove cons nil cons cons 12743 def 403 ref subst proveHyp 12743 ref 362 ref subst 12743 remove 412 ref subst 56 ref "_37654" 16 ref var 12744 def 56 ref 10567 ref 1062 ref 3061 ref 12744 remove varTerm 12745 def appTerm appTerm appTerm appTerm 38 ref 56 ref 10567 ref 1062 ref 3061 ref 4042 ref 12745 remove appTerm 135 ref appTerm appTerm appTerm 12746 def appTerm appTerm 10701 ref 12746 remove appTerm appTerm appTerm appTerm absTerm 12747 def 12158 ref appTerm 12748 def appTerm refl 12747 ref 12739 ref appTerm betaConv appThm 383 ref 12748 remove betaConv appThm 56 ref 10567 ref 1062 ref 3061 ref 12739 ref appTerm appTerm 12749 def appTerm 12750 def appTerm 12751 def 38 ref 56 ref 10567 ref 1062 ref 3061 ref 4042 ref 12739 ref appTerm 12752 def 135 ref appTerm appTerm appTerm 12753 def appTerm appTerm 10701 ref 12753 ref appTerm appTerm appTerm appTerm refl appThm trans 12747 remove refl 12740 remove assume 12754 def appThm eqMp sym 12751 ref refl 839 ref 383 ref 12594 ref 3249 ref 10406 ref nil 1442 ref 12728 ref nil cons 12755 def cons 12756 def nil cons nil cons cons 12757 def 12598 remove subst 12758 def appThm appThm 12759 def appThm appThm 12703 ref 12759 ref appThm appThm appThm appThm sym 11796 remove nil 11797 remove 347 ref 12751 ref 38 ref 56 ref 10567 ref 1062 ref 3061 ref 12728 ref appTerm 12760 def appTerm 12761 def appTerm 12762 def appTerm 12763 def 10701 ref 12761 ref appTerm 12764 def appTerm appTerm 12765 def appTerm 12766 def nil cons 12767 def cons nil cons 12768 def cons nil cons cons 403 ref subst nil 5 ref 4073 ref 11799 remove 12766 ref appTerm 12769 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 4073 remove nil 77 ref 12769 remove nil cons cons nil cons nil cons cons 82 ref subst nil 11802 remove 12768 ref cons nil cons cons 12770 def 362 ref subst 12770 remove 412 ref subst 11804 remove nil 11806 remove 12768 ref cons nil cons cons 12771 def 403 ref subst proveHyp 12771 ref 362 ref subst 12771 remove 412 ref subst 11900 remove nil 11901 remove 12768 ref cons nil cons cons 403 ref subst nil 5 ref 11893 ref 11907 remove 12766 ref appTerm 12772 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 11893 remove nil 77 ref 12772 remove nil cons cons nil cons nil cons cons 82 ref subst nil 11910 remove 12768 ref cons nil cons cons 12773 def 362 ref subst 12773 remove 412 ref subst 11912 remove nil 11914 remove 12768 ref cons nil cons cons 12774 def 403 ref subst proveHyp 12774 ref 362 ref subst 12774 remove 412 ref subst 11935 remove nil 11939 remove 12768 ref cons nil cons cons 403 ref subst proveHyp 11941 remove 12766 ref refl 12775 def appThm sym 11945 remove 12775 ref appThm sym nil 11946 remove 12768 ref cons nil cons cons 12776 def 362 ref subst 12776 remove 412 ref subst 11977 remove nil 11979 remove 12768 ref cons nil cons cons 403 ref subst proveHyp 11983 remove 12775 ref appThm sym nil 11984 remove 12768 ref cons nil cons cons 12777 def 362 ref subst 12777 remove 412 ref subst 11992 remove 12749 ref appTerm 12778 def betaConv 11999 remove nil 12000 remove 347 ref 12778 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 12001 remove 700 ref 12749 ref nil cons cons nil cons 12779 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11986 remove 12751 remove 707 ref 28 ref 12749 ref appTerm 12780 def appTerm 12781 def 4078 remove 12749 ref appTerm 12782 def appTerm 11989 ref 12749 ref appTerm 12783 def appTerm 12784 def appTerm 12785 def appTerm nil cons cons 12768 ref cons nil cons cons 403 ref subst proveHyp 96 ref 12006 remove 12785 ref refl appThm nil 77 ref 12785 ref nil cons 12786 def cons nil cons nil cons cons 833 ref subst trans appThm 12775 remove appThm sym nil 346 ref 12786 ref cons 12768 remove cons nil cons cons 12787 def 362 ref subst 12787 remove 412 ref subst 56 ref "_37846" 2 ref var 12788 def 56 ref 12788 remove varTerm appTerm 12765 ref appTerm absTerm 12789 def 12750 remove appTerm 12790 def appTerm refl 12789 ref 12784 ref appTerm betaConv appThm 383 ref 12790 remove betaConv appThm 56 ref 12784 remove appTerm 12765 ref appTerm refl appThm trans 12789 remove refl 12791 def 12785 remove assume appThm eqMp sym 56 ref "_37812" 16 ref var 12792 def 12584 ref 2668 ref 1377 ref 12792 remove varTerm appTerm appTerm appTerm absTerm 12793 def 12158 ref appTerm 12794 def appTerm refl 12793 ref 12739 ref appTerm betaConv appThm 383 ref 12794 remove betaConv appThm 12584 remove 2668 ref 1377 ref 12739 ref appTerm 12795 def appTerm appTerm 12796 def refl appThm trans 12793 remove refl 12754 ref appThm eqMp 12585 ref eqMp nil 346 ref 12796 remove nil cons cons 347 ref 56 ref 12780 ref appTerm 664 ref appTerm 12797 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref nil 1486 ref 12795 ref nil cons cons 12580 ref nil cons cons nil cons cons 3975 ref subst 24 ref 11464 remove 2677 ref 12795 ref appTerm appTerm 12798 def appTerm 12799 def refl 11472 ref 1432 ref 1158 ref 23 ref 1401 ref 12795 ref appTerm appTerm 12800 def refl 3054 remove appThm absThm appThm appThm appThm trans appThm nil 77 ref 12780 ref nil cons cons nil cons nil cons cons 826 ref subst appThm sym nil 346 ref 12799 remove 2680 ref 19 ref 1158 ref 12800 remove 3405 remove appTerm absTerm 12801 def appTerm 12802 def appTerm 12803 def appTerm nil cons 12804 def cons 347 ref 38 ref 12780 ref appTerm nil cons 12805 def cons nil cons 12806 def cons nil cons cons 12807 def 362 ref subst 12807 remove 412 ref subst nil 379 ref 12798 remove nil cons cons 381 ref 12803 remove nil cons cons nil cons cons nil cons cons 428 ref subst nil 3462 ref 381 ref 12802 remove nil cons 12808 def cons nil cons cons nil cons cons 428 ref subst nil 1442 ref 12739 ref nil cons cons nil cons nil cons cons 5890 remove subst sym 81 ref eqMp nil 346 ref 1400 ref 12739 ref appTerm 12795 remove appTerm nil cons cons 12806 remove cons nil cons cons 403 ref subst proveHyp nil 1158 ref 12755 remove cons nil cons nil cons cons 12801 ref 1161 ref appTerm 12809 def betaConv nil 346 ref 12808 remove cons 347 ref 12809 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 90 ref 12801 remove nil cons cons 1510 ref cons nil cons cons 414 ref subst eqMp eqMp subst eqMp proveHyp proveHyp eqMp nil 379 ref 12804 remove cons 381 ref 12805 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp 12810 def 56 ref "_37848" 2 ref var 12811 def 56 ref 707 ref 12811 remove varTerm appTerm 12782 ref appTerm 12783 ref appTerm appTerm 12765 ref appTerm absTerm 12812 def 12780 ref appTerm 12813 def appTerm refl 12812 ref 664 ref appTerm betaConv appThm 383 ref 12813 remove betaConv appThm 56 ref 7656 ref 12782 ref appTerm 12783 ref appTerm appTerm 12765 ref appTerm refl appThm trans 12812 remove refl 12797 remove assume 12814 def appThm eqMp sym 383 ref nil 794 ref 12783 remove nil cons cons 796 ref 12782 remove nil cons cons nil cons cons nil cons cons 6045 ref subst 11989 ref refl 3249 ref nil 12756 ref 2401 remove cons nil cons cons 1669 ref subst appThm nil 1442 ref 12760 remove nil cons cons 1309 ref cons nil cons cons 1669 remove subst trans 12815 def appThm trans appThm 12765 ref refl 12816 def appThm sym 11767 ref 142 remove assume appThm 12817 def 11737 remove trans sym 81 ref eqMp nil 346 ref 11682 ref 140 remove appTerm nil cons cons 347 ref 108 ref "spi" 1 ref var 12818 def 4640 remove 11657 ref appTerm 12819 def 12818 ref varTerm 12820 def appTerm 12821 def absTerm 12822 def appTerm 12823 def nil cons 12824 def cons nil cons cons nil cons cons 403 ref subst 12825 def proveHyp nil 11775 ref 6814 ref cons nil cons cons 1560 ref subst 12826 def eqMp nil 346 ref 12824 remove cons 12827 def 347 ref 56 ref 11989 remove 1377 ref 12761 ref appTerm 12828 def appTerm 12829 def appTerm 12830 def 12765 ref appTerm 12831 def nil cons 12832 def cons nil cons 12833 def cons nil cons cons 403 ref subst nil 5 ref 12818 ref 23 ref 12822 ref 12820 ref appTerm 12834 def appTerm 12835 def 12831 ref appTerm 12836 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 12818 ref nil 77 ref 12836 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 12834 ref nil cons 12837 def cons 12838 def 12833 ref cons nil cons cons 12839 def 362 ref subst 12839 remove 412 ref subst 12834 ref betaConv 12834 remove assume eqMp 12840 def nil 346 ref 12821 ref nil cons 12841 def cons 12842 def 12833 ref cons nil cons cons 12843 def 403 ref subst proveHyp 12843 ref 362 ref subst 12843 remove 412 ref subst 11767 remove 6883 remove appThm sym 12844 def 12203 remove eqMp nil 346 ref 11682 remove 144 remove appTerm nil cons cons 347 ref 108 ref "cpi" 1 ref var 12845 def 180 ref 11657 ref appTerm 12846 def 12845 ref varTerm 12847 def appTerm 12848 def absTerm 12849 def appTerm 12850 def nil cons 12851 def cons nil cons cons nil cons cons 403 ref subst 12852 def proveHyp nil 11775 remove 6134 ref cons nil cons cons 1560 ref subst 12853 def eqMp nil 346 ref 12851 remove cons 12833 ref cons nil cons cons 403 ref subst nil 5 ref 12845 ref 23 ref 12849 ref 12847 ref appTerm 12854 def appTerm 12831 ref appTerm 12855 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 12845 remove nil 77 ref 12855 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 12854 ref nil cons 12856 def cons 12833 ref cons nil cons cons 12857 def 362 ref subst 12857 remove 412 ref subst 12854 ref betaConv 12854 remove assume eqMp nil 346 ref 12848 ref nil cons 12858 def cons 12833 ref cons nil cons cons 12859 def 403 ref subst proveHyp 12859 ref 362 ref subst 12859 remove 412 ref subst 1054 ref 23 ref 189 remove appTerm 12860 def 56 ref 8894 remove 11657 ref appTerm 12861 def 1057 ref appTerm appTerm 11710 ref 180 remove 12292 remove appTerm 12862 def 1057 ref appTerm appTerm appTerm appTerm absTerm 12863 def 12847 ref appTerm 12864 def betaConv 1158 ref 14 ref 1054 ref 12860 ref 8952 remove 1466 ref 8953 remove appTerm 12865 def appTerm appTerm absTerm appTerm absTerm 12866 def 11657 ref appTerm 12867 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 187 remove 1478 ref appTerm appTerm 1480 ref 12865 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12868 def 188 ref appTerm 12869 def betaConv 8960 remove 131 ref appTerm 12870 def betaConv 8966 remove nil 8967 remove 347 ref 12870 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 8968 remove 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12868 ref appTerm nil cons cons 347 ref 12869 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12868 remove nil cons cons 6607 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12866 ref appTerm nil cons cons 347 ref 12867 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12866 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp 12871 def nil 346 ref 14 ref 12863 ref appTerm nil cons cons 12872 def 347 ref 12864 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12863 ref nil cons cons 12873 def 404 ref 12847 ref nil cons cons nil cons 12874 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 12860 ref 56 ref 12861 ref 12847 ref appTerm 12875 def appTerm 12876 def 11710 ref 12862 ref 12847 ref appTerm appTerm appTerm appTerm nil cons cons 12833 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 611 remove cons nil cons nil cons cons 82 ref subst 7894 remove eqMp appThm 12877 def 12876 remove refl 11738 remove 6886 remove 11745 remove appThm 12878 def 12847 ref refl appThm nil 77 ref 12858 ref cons nil cons nil cons cons 82 ref subst 12848 ref assume eqMp 12879 def trans appThm 1030 ref trans appThm nil 77 ref 12875 ref nil cons 12880 def cons nil cons nil cons cons 12881 def 1539 ref subst trans appThm 12881 ref 833 ref subst trans appThm 12831 ref refl 12882 def appThm sym nil 346 ref 12880 ref cons 12833 ref cons nil cons cons 12883 def 362 ref subst 12883 remove 412 ref subst 6577 ref 56 ref 226 remove 6578 ref appTerm appTerm 24 ref 8836 remove 139 ref appTerm 12884 def 188 ref appTerm 12885 def 148 ref appTerm 12886 def appTerm 12887 def 8838 remove 139 ref appTerm 12888 def 188 ref appTerm 12889 def 6578 ref appTerm 12890 def appTerm appTerm absTerm 12891 def 202 ref appTerm 12892 def betaConv 6583 ref 11 ref 6577 ref 56 ref 225 remove 6584 ref appTerm 6578 ref appTerm appTerm 24 ref 12885 ref 6584 ref appTerm appTerm 12890 remove appTerm appTerm absTerm appTerm absTerm 12893 def 148 ref appTerm 12894 def betaConv 1477 ref 11 ref 6583 remove 11 ref 6577 remove 56 ref 224 remove 1478 ref appTerm 6584 ref appTerm 6578 ref appTerm appTerm 24 ref 12884 remove 1478 ref appTerm 12895 def 6584 remove appTerm appTerm 12888 remove 1478 ref appTerm 12896 def 6578 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12897 def 188 ref appTerm 12898 def betaConv 8849 remove 139 ref appTerm 12899 def betaConv 8852 remove nil 8853 remove 347 ref 12899 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 8854 remove 6814 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12897 ref appTerm nil cons cons 347 ref 12898 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12897 remove nil cons cons 6607 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12893 ref appTerm nil cons cons 347 ref 12894 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12893 remove nil cons cons 5419 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12891 ref appTerm nil cons cons 347 ref 12892 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12891 remove nil cons cons 6609 ref cons nil cons cons 414 ref subst eqMp eqMp 12900 def nil 346 ref 56 ref 227 ref appTerm 12887 ref 12889 ref 202 ref appTerm 12901 def appTerm 12902 def appTerm nil cons cons 12903 def 12833 ref cons nil cons cons 403 ref subst proveHyp 96 ref 383 ref nil 77 ref 636 remove cons nil cons nil cons cons 82 ref subst 227 remove assume eqMp appThm 12902 ref refl appThm nil 77 ref 12902 remove nil cons 12904 def cons nil cons nil cons cons 846 remove subst trans appThm 12905 def 12882 ref appThm sym nil 346 ref 12904 ref cons 12906 def 12833 ref cons nil cons cons 12907 def 362 ref subst 12907 remove 412 ref subst nil 379 ref 12886 ref nil cons 12908 def cons 381 ref 12901 ref nil cons 12909 def cons nil cons cons nil cons cons 12910 def 395 ref subst 7508 ref 23 ref 12887 ref 24 ref 12821 ref appTerm 12911 def 24 ref 12875 ref appTerm 12912 def 11894 remove 7512 ref appTerm 12913 def appTerm appTerm appTerm appTerm 4658 remove 12820 ref appTerm 12914 def 12847 ref appTerm 12915 def 7512 ref appTerm appTerm absTerm 12916 def 11895 ref appTerm 12917 def betaConv 1567 ref 14 ref 7508 ref 23 ref 12887 ref 12911 ref 24 ref 12861 ref 1569 ref appTerm appTerm 12918 def 12913 remove appTerm 12919 def appTerm appTerm appTerm 12914 ref 1569 ref appTerm 7512 ref appTerm appTerm absTerm appTerm absTerm 12920 def 12847 ref appTerm 12921 def betaConv 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 12887 ref 24 ref 12819 ref 1163 ref appTerm appTerm 12922 def 12919 remove appTerm appTerm appTerm 12361 ref appTerm absTerm appTerm absTerm appTerm absTerm 12923 def 12820 ref appTerm 12924 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 12887 ref 24 ref 7390 ref 1163 ref appTerm appTerm 12925 def 24 ref 8895 remove 1569 ref appTerm appTerm 12926 def 11962 remove 7512 ref appTerm appTerm appTerm appTerm appTerm 12361 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12927 def 11657 ref appTerm 12928 def betaConv 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 12885 remove 5397 ref appTerm appTerm 12925 ref 12926 ref 7513 ref appTerm appTerm 12929 def appTerm appTerm 12361 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12930 def 148 remove appTerm 12931 def betaConv 1477 ref 11 ref 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 12895 remove 5397 ref appTerm appTerm 12925 ref 7514 ref appTerm 12932 def appTerm appTerm 12361 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12933 def 188 ref appTerm 12934 def betaConv 12374 remove 139 ref appTerm 12935 def betaConv 12377 remove nil 12378 remove 347 ref 12935 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 12379 remove 6814 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12933 ref appTerm nil cons cons 347 ref 12934 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12933 remove nil cons cons 6607 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12930 ref appTerm nil cons cons 347 ref 12931 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12930 remove nil cons cons 5419 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12927 ref appTerm nil cons cons 347 ref 12928 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12927 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12923 ref appTerm nil cons cons 347 ref 12924 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12923 remove nil cons cons 404 ref 12820 ref nil cons cons nil cons 12936 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12920 ref appTerm nil cons cons 347 ref 12921 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12920 remove nil cons cons 12874 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12916 ref appTerm nil cons cons 347 ref 12917 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12916 remove nil cons cons 11976 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 12887 remove 12911 ref 12912 remove 11896 remove appTerm appTerm appTerm appTerm 12915 ref 11895 ref appTerm 12937 def appTerm nil cons cons 12833 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1017 ref nil 77 ref 12908 remove cons nil cons nil cons cons 82 ref subst 12886 remove assume eqMp appThm 1017 ref nil 77 ref 12841 ref cons nil cons nil cons cons 82 ref subst 12821 ref assume eqMp 12938 def appThm 12939 def 1017 ref 12881 remove 82 ref subst 12875 remove assume eqMp appThm 11980 remove appThm 1030 ref trans appThm 1030 ref trans appThm 1030 ref trans appThm 12937 ref refl appThm nil 77 ref 12937 ref nil cons 12940 def cons nil cons nil cons cons 12941 def 833 ref subst trans appThm 12882 ref appThm sym nil 346 ref 12940 ref cons 12833 ref cons nil cons cons 12942 def 362 ref subst 12942 remove 412 ref subst 20 ref 23 ref 12937 ref appTerm 12943 def 56 ref 11990 remove appTerm 38 ref 56 ref 26 ref 12820 ref appTerm 12944 def 29 ref appTerm 12945 def appTerm 12946 def 26 ref 12847 ref appTerm 12947 def 29 ref appTerm appTerm appTerm 12948 def appTerm appTerm absTerm 12949 def 12828 ref appTerm 12950 def betaConv 718 ref 19 ref 20 ref 23 ref 12915 remove 719 ref appTerm appTerm 720 ref 12948 remove appTerm appTerm absTerm appTerm absTerm 12951 def 11895 remove appTerm 12952 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 12914 remove 678 ref appTerm 719 ref appTerm appTerm 720 ref 38 ref 12946 remove 680 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 12953 def 12847 ref appTerm 12954 def betaConv 6637 remove 12820 ref appTerm 12955 def betaConv 6640 remove nil 6641 remove 347 ref 12955 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 6642 remove 12936 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12953 ref appTerm nil cons cons 347 ref 12954 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12953 remove nil cons cons 12874 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12951 ref appTerm nil cons cons 347 ref 12952 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12951 remove nil cons cons 11976 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12949 ref appTerm nil cons cons 347 ref 12950 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12949 remove nil cons cons 700 ref 12828 ref nil cons cons nil cons 12956 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 12943 remove 12830 remove 38 ref 56 ref 12944 ref 12828 ref appTerm 12957 def appTerm 12958 def 12947 ref 12828 ref appTerm 12959 def appTerm appTerm 12960 def appTerm 12961 def appTerm nil cons cons 12833 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 12941 remove 82 ref subst 12937 remove assume eqMp appThm 12961 ref refl appThm nil 77 ref 12961 ref nil cons 12962 def cons nil cons nil cons cons 833 ref subst trans appThm 12882 remove appThm sym nil 346 ref 12962 ref cons 12833 remove cons nil cons cons 12963 def 362 ref subst 12963 remove 412 ref subst 56 ref "_37850" 2 ref var 12964 def 56 ref 12964 remove varTerm appTerm 12765 ref appTerm absTerm 12965 def 12829 remove appTerm 12966 def appTerm refl 12965 remove 12960 ref appTerm betaConv appThm 383 ref 12966 remove betaConv appThm 56 ref 12960 remove appTerm 12765 ref appTerm 12967 def refl 12968 def appThm trans 12791 remove 12961 remove assume appThm eqMp sym 1567 ref 23 ref 266 ref 11809 ref 12819 remove 1569 ref appTerm 12969 def appTerm appTerm appTerm 270 ref 10566 ref appTerm 12970 def 1569 ref appTerm appTerm absTerm 12971 def 12820 ref appTerm 12972 def betaConv 1160 ref 14 ref 1567 ref 23 ref 266 ref 11813 remove 12969 remove appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm 12973 def 10566 ref appTerm 12974 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 266 ref 11816 remove 7390 remove 1569 ref appTerm appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm appTerm absTerm 12975 def 11657 ref appTerm 12976 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 7386 remove 11819 remove appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 12977 def 139 ref appTerm 12978 def betaConv 1741 ref 157 remove appTerm 12979 def betaConv 1743 ref nil 1745 ref 347 ref 12979 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1781 ref 5421 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 12977 ref appTerm nil cons cons 347 ref 12978 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 12977 remove nil cons cons 6814 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12975 ref appTerm nil cons cons 347 ref 12976 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12975 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12973 ref appTerm nil cons cons 347 ref 12974 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12973 remove nil cons cons 11830 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12971 ref appTerm nil cons cons 347 ref 12972 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12971 remove nil cons cons 12936 ref cons nil cons cons 414 ref subst eqMp eqMp 12980 def nil 346 ref 23 ref 266 remove 11809 remove 12821 remove appTerm appTerm appTerm 12970 ref 12820 ref appTerm 12981 def appTerm nil cons cons 12982 def 347 ref 12967 remove nil cons 12983 def cons nil cons 12984 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 7392 remove 11834 remove 12938 remove appThm 1030 ref trans appThm 1030 ref trans appThm 12981 ref refl appThm nil 77 ref 12981 ref nil cons 12985 def cons nil cons nil cons cons 12986 def 833 ref subst trans appThm 12987 def 12968 ref appThm sym nil 346 ref 12985 ref cons 12988 def 12984 ref cons nil cons cons 12989 def 362 ref subst 12989 remove 412 ref subst 20 ref 23 ref 12981 ref appTerm 12990 def 56 ref 12944 ref 1791 ref appTerm appTerm 11987 ref appTerm appTerm absTerm 12991 def 12761 ref appTerm 12992 def betaConv 677 ref 19 ref 20 ref 23 ref 12970 remove 678 ref appTerm appTerm 1792 ref 11987 remove appTerm appTerm absTerm appTerm absTerm 12993 def 12820 ref appTerm 12994 def betaConv 1803 ref 10566 remove appTerm 12995 def betaConv 1805 ref nil 1807 ref 347 ref 12995 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 11830 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 12993 ref appTerm nil cons cons 347 ref 12994 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12993 remove nil cons cons 12936 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 12991 ref appTerm nil cons cons 347 ref 12992 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12991 remove nil cons cons 700 ref 12761 ref nil cons 12996 def cons nil cons 12997 def cons nil cons cons 414 ref subst eqMp eqMp 12998 def nil 346 ref 12990 remove 56 ref 12944 ref 130 ref 12761 ref appTerm 135 ref appTerm 12999 def appTerm appTerm 12762 ref appTerm appTerm nil cons cons 13000 def 12984 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 12986 remove 82 ref subst 12981 remove assume eqMp appThm 383 ref 12944 remove refl nil 1308 ref 12996 remove cons nil cons nil cons cons 13001 def 1439 ref subst 13002 def appThm appThm 12762 ref refl appThm appThm nil 77 ref 12958 remove 12762 ref appTerm 13003 def nil cons 13004 def cons nil cons nil cons cons 833 ref subst trans appThm 13005 def 12968 remove appThm sym nil 346 ref 13004 ref cons 13006 def 12984 remove cons nil cons cons 13007 def 362 ref subst 13007 remove 412 ref subst 56 ref "_37852" 2 ref var 13008 def 56 ref 38 ref 56 ref 13008 remove varTerm appTerm 12959 ref appTerm appTerm appTerm 12765 ref appTerm absTerm 13009 def 12957 ref appTerm 13010 def appTerm refl 13009 ref 12762 ref appTerm betaConv appThm 383 ref 13010 remove betaConv appThm 56 ref 38 ref 12763 ref 12959 ref appTerm appTerm appTerm 12765 ref appTerm 13011 def refl 13012 def appThm trans 13009 remove refl 13003 remove assume 13013 def appThm eqMp sym 1567 ref 23 ref 269 ref 12635 ref 12846 ref 1569 ref appTerm 13014 def appTerm appTerm appTerm 270 ref 10700 ref appTerm 13015 def 1569 ref appTerm appTerm absTerm 13016 def 12847 ref appTerm 13017 def betaConv 1160 ref 14 ref 1567 ref 23 ref 269 ref 12639 remove 13014 ref appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm 13018 def 10700 ref appTerm 13019 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 269 ref 12642 remove 6126 remove 1569 ref appTerm appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm appTerm absTerm 13020 def 11657 ref appTerm 13021 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 23 ref 6123 remove 12648 remove appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13022 def 143 remove appTerm 13023 def betaConv 1741 remove 161 remove appTerm 13024 def betaConv 1743 remove nil 1745 remove 347 ref 13024 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1781 remove 5471 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 13022 ref appTerm nil cons cons 347 ref 13023 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 13022 remove nil cons cons 6134 remove cons nil cons cons 414 ref subst eqMp eqMp 13025 def nil 346 ref 19 ref 13020 ref appTerm nil cons cons 13026 def 347 ref 13021 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13020 ref nil cons cons 13027 def 11727 ref cons nil cons cons 414 ref subst eqMp eqMp 13028 def nil 346 ref 14 ref 13018 ref appTerm nil cons cons 13029 def 347 ref 13019 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13018 ref nil cons cons 13030 def 12660 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13016 ref appTerm nil cons cons 347 ref 13017 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13016 remove nil cons cons 12874 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 269 ref 12635 remove 12848 remove appTerm appTerm appTerm 13015 ref 12847 ref appTerm 13031 def appTerm nil cons cons 347 ref 13011 remove nil cons 13032 def cons nil cons 13033 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 6128 ref 12662 remove 12879 remove appThm 1030 ref trans appThm 1030 ref trans appThm 13031 ref refl appThm nil 77 ref 13031 ref nil cons 13034 def cons nil cons nil cons cons 13035 def 833 ref subst trans appThm 13012 ref appThm sym nil 346 ref 13034 ref cons 13033 ref cons nil cons cons 13036 def 362 ref subst 13036 remove 412 ref subst 20 ref 23 ref 13031 ref appTerm 13037 def 56 ref 12947 ref 1791 ref appTerm appTerm 10701 ref 29 ref appTerm 13038 def appTerm appTerm absTerm 13039 def 12761 ref appTerm 13040 def betaConv 677 ref 19 ref 20 ref 23 ref 13015 remove 678 ref appTerm appTerm 1792 ref 13038 ref appTerm appTerm absTerm appTerm absTerm 13041 def 12847 remove appTerm 13042 def betaConv 1803 ref 10700 ref appTerm 13043 def betaConv 1805 ref nil 1807 ref 347 ref 13043 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 12660 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13041 ref appTerm nil cons cons 347 ref 13042 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13041 remove nil cons cons 12874 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13039 ref appTerm nil cons cons 347 ref 13040 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13039 remove nil cons cons 12997 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13037 remove 56 ref 12947 ref 12999 ref appTerm appTerm 12764 ref appTerm appTerm nil cons cons 13033 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 13035 remove 82 ref subst 13031 remove assume eqMp appThm 383 ref 12947 remove refl 13002 ref appThm appThm 12764 ref refl appThm appThm nil 77 ref 56 ref 12959 ref appTerm 12764 ref appTerm 13044 def nil cons 13045 def cons nil cons nil cons cons 833 ref subst trans appThm 13012 remove appThm sym nil 346 ref 13045 ref cons 13033 remove cons nil cons cons 13046 def 362 ref subst 13046 remove 412 ref subst 56 ref "_37854" 2 ref var 13047 def 56 ref 38 ref 12763 remove 13047 remove varTerm appTerm appTerm appTerm 12765 ref appTerm absTerm 13048 def 12959 remove appTerm 13049 def appTerm refl 13048 ref 12764 remove appTerm betaConv appThm 383 ref 13049 remove betaConv appThm 56 ref 12765 ref appTerm 12765 remove appTerm refl appThm trans 13048 remove refl 13044 remove assume appThm eqMp sym 12816 remove eqMp eqMp nil 379 ref 13045 remove cons 381 ref 13032 remove cons nil cons 13050 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13034 remove cons 13050 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 13004 remove cons 13051 def 381 ref 12983 remove cons nil cons 13052 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 12985 remove cons 13053 def 13052 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 12962 remove cons 381 ref 12832 remove cons nil cons 13054 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 12940 remove cons 13054 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 379 ref 12904 remove cons 13055 def 13054 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 12880 remove cons 13054 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 12858 remove cons 13054 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 12856 remove cons 13054 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 12849 ref 684 ref appTerm appTerm 12831 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 12850 remove appTerm 12831 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12849 remove nil cons cons 13054 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 12841 remove cons 13056 def 13054 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 12837 remove cons 13057 def 13054 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 12822 ref 684 ref appTerm appTerm 13058 def 12831 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 12823 remove appTerm 13059 def 12831 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12822 remove nil cons cons 13060 def 13054 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp proveHyp eqMp eqMp nil 379 ref 12786 remove cons 381 ref 12767 remove cons nil cons 13061 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 12030 remove 13061 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 12031 remove 13061 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 12032 remove 13061 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 12033 remove 13061 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 12034 remove 12766 ref appTerm absTerm appTerm nil cons cons 347 ref 12035 remove 12766 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 12036 remove 13061 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 12039 remove 13061 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 12040 remove 13061 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 12041 remove 12766 ref appTerm absTerm appTerm nil cons cons 347 ref 12042 remove 12766 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 12043 remove 13061 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 379 ref 12741 remove cons 13062 def 381 ref 12735 remove cons nil cons 13063 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 12733 remove cons 13064 def 13063 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 12723 ref 963 ref appTerm appTerm 13065 def 12731 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 12724 remove appTerm 13066 def 12731 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12723 remove nil cons cons 13067 def 13063 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp eqMp nil 379 ref 12712 ref cons 13068 def 381 ref 12714 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 12665 remove cons 13069 def 381 ref 12626 remove cons nil cons 13070 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 12632 remove cons 13070 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 12630 remove cons 13070 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 12610 ref 684 ref appTerm appTerm 12625 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 12611 remove appTerm 12625 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12610 remove nil cons cons 13070 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 12037 ref 381 ref 12568 remove cons nil cons 13071 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 12044 ref 13071 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 12045 ref 13071 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 12046 ref 12566 ref appTerm absTerm appTerm nil cons cons 347 ref 12047 ref 12566 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 12048 ref 13071 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 12049 ref 13071 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 12561 remove cons 381 ref 12544 remove cons nil cons 13072 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 12547 remove cons 13072 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 12510 remove cons 13073 def 381 ref 12462 remove cons nil cons 13074 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 12490 remove cons 13075 def 13074 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 12468 remove cons 13074 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 12466 remove cons 13074 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 12457 ref 684 ref appTerm appTerm 12452 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 12458 remove appTerm 12452 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12457 remove nil cons cons 13074 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp proveHyp proveHyp eqMp nil 379 ref 12437 remove cons 13076 def 381 ref 12420 ref cons nil cons 13077 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 12433 remove cons 13078 def 13077 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 12416 ref 963 ref appTerm appTerm 13079 def 12405 ref appTerm absTerm appTerm nil cons cons 12429 remove cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12416 remove nil cons cons 13080 def 13077 remove cons nil cons cons 893 ref subst eqMp eqMp nil 346 ref 24 ref 12413 remove appTerm 13081 def 12428 remove appTerm nil cons cons 347 ref 23 ref 12418 remove appTerm 13082 def 12405 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 12420 remove cons 347 ref 12417 remove nil cons cons 12426 ref nil cons cons 13083 def cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp nil 379 ref 12401 remove cons 381 ref 12146 ref cons nil cons 13084 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 12382 remove cons 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 379 ref 12342 remove cons 13085 def 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 12319 remove cons 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 12284 remove cons 13086 def 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 12251 remove cons 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 12217 remove cons 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 12215 remove cons 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 12208 ref 684 ref appTerm appTerm 12145 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 12209 remove appTerm 12145 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12208 remove nil cons cons 13084 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 12193 remove cons 13087 def 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 12189 remove cons 13088 def 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 12180 ref 684 ref appTerm appTerm 13089 def 12145 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 12181 remove appTerm 13090 def 12145 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12180 remove nil cons cons 13091 def 13084 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 12050 ref 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 12051 ref 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 12052 ref 12145 ref appTerm absTerm appTerm nil cons cons 347 ref 12053 ref 12145 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 12054 ref 13084 ref cons nil cons cons 893 ref subst eqMp nil 12055 ref 12147 remove cons nil cons cons 13092 def 362 ref subst 13092 remove 412 ref subst 12067 remove 56 ref "_36790" 1 ref var 13093 def 56 ref 26 ref 13093 remove varTerm appTerm 2198 ref appTerm appTerm 11604 ref appTerm absTerm 13094 def 10564 ref appTerm 13095 def appTerm refl 13094 ref 10552 ref appTerm betaConv appThm 383 ref 13095 remove betaConv appThm 12071 ref 11604 remove appTerm refl appThm trans 13094 remove refl 12072 ref appThm eqMp sym 415 ref 99 ref 1158 ref 24 ref 1162 ref 11568 ref appTerm appTerm 1162 ref 10964 ref appTerm appTerm absTerm appTerm absTerm 13096 def 11179 remove appTerm betaConv sym 1158 ref 11570 remove 11552 remove 10964 ref appTerm appTerm absTerm 13097 def 134 ref appTerm betaConv sym 1017 ref nil 77 ref 11298 remove 11568 ref appTerm 13098 def nil cons cons nil cons nil cons cons 82 ref subst 12247 remove "_36622" 16 ref var 13099 def 11297 remove 13099 remove varTerm appTerm 11568 ref appTerm absTerm 134 ref appTerm betaConv appThm 12248 remove 13098 remove refl appThm trans 12249 remove 12062 ref appThm eqMp 12250 remove eqMp eqMp appThm 11380 remove appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 13097 remove nil cons cons 1353 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 13096 ref nil cons cons 12237 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 ref 13096 remove appTerm nil cons cons 347 ref 1323 ref 11568 ref appTerm 10964 ref appTerm 13100 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1319 ref 11195 remove cons 1327 ref 11584 remove cons nil cons cons nil cons cons 10158 ref subst eqMp 56 ref "_36952" 1 ref var 13101 def 12071 ref 26 ref 13101 remove varTerm appTerm 2198 ref appTerm appTerm absTerm 13102 def 11568 remove appTerm 13103 def appTerm refl 13102 ref 10964 ref appTerm betaConv appThm 383 ref 13103 remove betaConv appThm 12071 ref 26 ref 10964 ref appTerm 13104 def 2198 ref appTerm 13105 def appTerm 13106 def refl 13107 def appThm trans 13102 remove refl 13100 remove assume appThm eqMp sym 20 ref 23 ref 10965 ref appTerm 13108 def 56 ref 13104 remove 29 ref appTerm appTerm 38 ref 26 ref 10834 ref appTerm 13109 def 29 ref appTerm 13110 def appTerm 13111 def appTerm appTerm absTerm 13112 def 2198 ref appTerm 13113 def betaConv 677 ref 19 ref 20 ref 23 ref 10963 remove 678 ref appTerm appTerm 681 ref 13111 remove appTerm appTerm absTerm appTerm absTerm 13114 def 10964 remove appTerm 13115 def betaConv 404 ref 14 ref 677 ref 19 ref 20 ref 11401 remove 681 ref 1044 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13116 def 10834 ref appTerm 13117 def betaConv nil 14 ref 13116 ref appTerm 13118 def axiom 13119 def nil 346 ref 13118 remove nil cons cons 13120 def 347 ref 13117 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13116 ref nil cons cons 13121 def 10956 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13114 ref appTerm nil cons cons 347 ref 13115 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13114 remove nil cons cons 11202 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13112 ref appTerm nil cons cons 347 ref 13113 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13112 remove nil cons cons 2598 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13108 remove 56 ref 13105 ref appTerm 38 ref 13109 ref 2198 ref appTerm 13122 def appTerm 13123 def appTerm 13124 def appTerm nil cons cons 347 ref 13106 remove nil cons 13125 def cons nil cons 13126 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 10972 ref cons nil cons nil cons cons 82 ref subst 10965 remove assume eqMp appThm 13124 ref refl appThm nil 77 ref 13124 ref nil cons 13127 def cons nil cons nil cons cons 833 ref subst trans appThm 13107 remove appThm sym nil 346 ref 13127 ref cons 13126 remove cons nil cons cons 13128 def 362 ref subst 13128 remove 412 ref subst 56 ref "_37114" 2 ref var 13129 def 12071 ref 13129 remove varTerm appTerm absTerm 13130 def 13105 remove appTerm 13131 def appTerm refl 13130 ref 13123 ref appTerm betaConv appThm 383 ref 13131 remove betaConv appThm 12071 remove 13123 remove appTerm 13132 def refl appThm trans 13130 remove refl 13124 remove assume appThm eqMp sym 12411 ref nil 12419 ref 347 ref 13132 ref nil cons 13133 def cons nil cons 13134 def cons nil cons cons 403 ref subst proveHyp 12425 ref nil 12426 ref 347 ref 12427 ref 13132 ref appTerm 13135 def nil cons cons nil cons 13136 def cons nil cons cons 412 ref subst proveHyp nil 90 ref 11415 ref 12431 ref 13132 ref appTerm 13137 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 11415 ref nil 77 ref 13137 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12434 ref 13134 ref cons nil cons cons 13138 def 362 ref subst 13138 remove 412 ref subst 12436 ref nil 12438 ref 13134 remove cons nil cons cons 13139 def 403 ref subst proveHyp 13139 ref 362 ref subst 13139 remove 412 ref subst 12442 ref 12443 ref 56 ref "_37116" 16 ref var 13140 def 56 ref 12070 ref 13140 remove varTerm 13141 def appTerm appTerm 38 ref 13109 ref 13141 remove appTerm appTerm appTerm absTerm 13142 def 2198 ref appTerm 13143 def appTerm refl 13142 ref 11418 ref appTerm betaConv appThm 383 ref 13143 remove betaConv appThm 56 ref 12070 ref 11418 ref appTerm appTerm 13144 def 38 ref 13109 ref 11418 ref appTerm 13145 def appTerm appTerm 13146 def refl 13147 def appThm trans 13142 remove refl 11469 ref appThm eqMp sym 56 ref "_36948" 1 ref var 13148 def 12059 ref 13148 remove varTerm appTerm absTerm 13149 def 10564 ref appTerm 13150 def appTerm refl 13149 ref 10552 ref appTerm betaConv appThm 383 ref 13150 remove betaConv appThm 12064 ref refl appThm trans 13149 remove refl 12072 remove appThm eqMp 12063 remove eqMp 1567 ref 23 ref 11322 ref 24 ref 12064 remove appTerm 13151 def 10833 remove 1569 ref appTerm 13152 def appTerm appTerm appTerm 270 ref 10552 ref appTerm 13153 def 1569 ref appTerm appTerm absTerm 13154 def 10834 ref appTerm 13155 def betaConv 1160 ref 14 ref 1567 ref 23 ref 11322 ref 24 ref 12059 remove 1163 ref appTerm appTerm 13152 remove appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm 13156 def 10552 ref appTerm 13157 def betaConv 12478 remove 134 ref appTerm 13158 def betaConv 12483 remove nil 12484 remove 347 ref 13158 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 12485 remove 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13156 ref appTerm nil cons cons 347 ref 13157 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13156 remove nil cons cons 10671 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13154 ref appTerm nil cons cons 347 ref 13155 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13154 remove nil cons cons 10956 ref cons nil cons cons 414 ref subst eqMp eqMp 13159 def nil 346 ref 23 ref 11322 remove 13151 remove 10835 remove appTerm appTerm appTerm 13153 ref 10834 ref appTerm 13160 def appTerm nil cons cons 13161 def 347 ref 13146 remove nil cons 13162 def cons nil cons 13163 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10777 ref 1017 ref 12065 remove appThm 11378 remove appThm 1030 ref trans appThm 1030 ref trans appThm 13160 ref refl appThm nil 77 ref 13160 ref nil cons 13164 def cons nil cons nil cons cons 13165 def 833 ref subst trans appThm 13166 def 13147 ref appThm sym nil 346 ref 13164 ref cons 13167 def 13163 ref cons nil cons cons 13168 def 362 ref subst 13168 remove 412 ref subst 20 ref 23 ref 13160 ref appTerm 13169 def 56 ref 13109 ref 1791 ref appTerm appTerm 12070 ref 29 ref appTerm 13170 def appTerm appTerm absTerm 13171 def 11417 ref appTerm 13172 def betaConv 677 ref 19 ref 20 ref 23 ref 13153 remove 678 ref appTerm appTerm 1792 ref 13170 remove appTerm appTerm absTerm appTerm absTerm 13173 def 10834 ref appTerm 13174 def betaConv 1803 ref 10552 ref appTerm 13175 def betaConv 1805 ref nil 1807 ref 347 ref 13175 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 10671 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13173 ref appTerm nil cons cons 347 ref 13174 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13173 remove nil cons cons 10956 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13171 ref appTerm nil cons cons 347 ref 13172 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13171 remove nil cons cons 12502 ref cons nil cons cons 414 ref subst eqMp eqMp 13176 def nil 346 ref 13169 remove 56 ref 13109 ref 12504 ref appTerm appTerm 12070 remove 11417 ref appTerm 13177 def appTerm appTerm nil cons cons 13178 def 13163 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 13165 remove 82 ref subst 13160 remove assume eqMp appThm 383 ref 13109 ref refl 12508 ref appThm appThm 13177 ref refl appThm appThm nil 77 ref 56 ref 13145 ref appTerm 13177 ref appTerm 13179 def nil cons 13180 def cons nil cons nil cons cons 833 ref subst trans appThm 13181 def 13147 remove appThm sym nil 346 ref 13180 ref cons 13182 def 13163 remove cons nil cons cons 13183 def 362 ref subst 13183 remove 412 ref subst 56 ref "_37278" 2 ref var 13184 def 13144 ref 38 ref 13184 remove varTerm appTerm appTerm absTerm 13185 def 13145 ref appTerm 13186 def appTerm refl 13185 ref 13177 ref appTerm betaConv appThm 383 ref 13186 remove betaConv appThm 13144 remove 38 ref 13177 ref appTerm appTerm refl appThm trans 13185 remove refl 13179 remove assume 13187 def appThm eqMp sym 56 ref "_37280" 1 ref var 13188 def 56 ref 26 ref 13188 remove varTerm appTerm 13189 def 11418 ref appTerm appTerm 38 ref 13189 remove 11417 ref appTerm appTerm appTerm absTerm 13190 def 10552 ref appTerm 13191 def appTerm refl 13190 ref 10550 ref appTerm betaConv appThm 383 ref 13191 remove betaConv appThm 56 ref 12075 ref 11418 ref appTerm appTerm 38 ref 12075 remove 11417 ref appTerm 13192 def appTerm appTerm refl appThm trans 13190 remove refl 12077 ref appThm eqMp sym 383 ref nil 12580 ref 12097 ref cons nil cons cons 4453 ref subst 12099 ref 12585 ref appThm nil 12587 ref 12106 ref cons nil cons cons 4524 ref subst 12107 ref 12588 ref appThm 10548 ref 12166 ref appTerm betaConv 12592 remove 10546 ref refl appThm 839 ref 7217 ref refl 13193 def 12599 ref appThm 13194 def appThm appThm nil 794 ref 38 ref 7217 ref 12600 ref appTerm 13195 def appTerm 13196 def nil cons cons 796 ref 12108 ref cons nil cons cons nil cons cons 6045 ref subst trans trans trans trans trans trans appThm 839 ref nil 11434 ref 12097 remove cons nil cons cons 4453 ref subst 12099 remove 12603 ref appThm nil 12604 ref 12106 remove cons nil cons cons 4524 ref subst 12107 remove 12605 ref appThm 10548 remove 12158 ref appTerm betaConv trans trans trans trans 13197 def appThm appThm sym 383 ref "_37282" 2 ref var 13198 def 56 ref 13196 remove appTerm 13199 def 38 ref 13198 remove varTerm appTerm appTerm absTerm 13200 def 12618 remove 10546 ref appTerm 38 ref 7217 ref 12621 ref appTerm 13201 def appTerm 13202 def appTerm 13203 def appTerm betaConv appThm 1017 ref 12687 ref 13200 ref 10546 ref appTerm betaConv appThm appThm 12689 ref 13200 ref 13202 ref appTerm betaConv appThm appThm appThm nil 6161 ref 13202 ref nil cons cons 6162 ref 12108 remove cons 12691 remove cons cons nil cons cons 13204 def nil 6166 ref 13200 remove nil cons cons nil cons nil cons cons 6167 ref subst subst eqMp sym nil 12692 ref 347 ref 13199 ref 38 ref 10546 ref appTerm appTerm 13205 def nil cons 13206 def cons nil cons cons nil cons cons 13207 def 362 ref subst 13207 remove 412 ref subst 839 ref 13193 ref 12702 ref appThm 13208 def appThm eqMp nil 12709 ref 381 ref 13206 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 12686 ref 13205 remove appTerm nil cons cons 347 ref 12688 ref 13199 ref 38 ref 13202 ref appTerm appTerm 13209 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 12713 ref 347 ref 13209 remove nil cons 13210 def cons nil cons 13211 def cons nil cons cons 13212 def 362 ref subst 13212 remove 412 ref subst 12722 ref nil 12725 ref 13211 remove cons nil cons cons 403 ref subst proveHyp 12726 ref 13199 ref refl nil 77 ref 13201 ref nil cons cons nil cons nil cons cons 3822 ref subst appThm appThm sym nil 90 ref 12727 ref 12730 ref 13199 remove 13201 remove appTerm 13213 def appTerm 13214 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 12727 ref nil 77 ref 13214 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12734 ref 347 ref 13213 ref nil cons 13215 def cons nil cons 13216 def cons nil cons cons 13217 def 362 ref subst 13217 remove 412 ref subst 12738 ref nil 12742 ref 13216 remove cons nil cons cons 13218 def 403 ref subst proveHyp 13218 ref 362 ref subst 13218 remove 412 ref subst 56 ref "_37288" 16 ref var 13219 def 56 ref 38 ref 7217 ref 1062 ref 3061 ref 13219 remove varTerm 13220 def appTerm appTerm appTerm appTerm appTerm 7217 ref 1062 ref 3061 ref 4042 ref 13220 remove appTerm 135 ref appTerm appTerm appTerm appTerm appTerm absTerm 13221 def 12158 ref appTerm 13222 def appTerm refl 13221 ref 12739 ref appTerm betaConv appThm 383 ref 13222 remove betaConv appThm 56 ref 38 ref 7217 ref 12749 ref appTerm 13223 def appTerm appTerm 13224 def 7217 ref 12753 ref appTerm 13225 def appTerm refl appThm trans 13221 remove refl 12754 ref appThm eqMp sym 13224 ref refl 13193 remove 12759 ref appThm 13226 def appThm sym 12113 remove 12749 ref appTerm 13227 def betaConv 12120 remove nil 12121 remove 347 ref 13227 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 12122 remove 12779 ref cons nil cons cons 414 ref subst eqMp eqMp 13228 def nil 346 ref 12110 remove 56 ref 13223 ref appTerm 13229 def 12781 ref 12089 remove 12749 ref appTerm 13230 def appTerm 6524 ref 12749 ref appTerm 13231 def appTerm 13232 def appTerm 13233 def appTerm nil cons cons 13234 def 347 ref 13224 remove 7217 ref 12761 ref appTerm 13235 def appTerm 13236 def nil cons 13237 def cons nil cons 13238 def cons nil cons cons 403 ref subst proveHyp 96 ref 12130 remove 13233 ref refl appThm nil 77 ref 13233 ref nil cons 13239 def cons nil cons nil cons cons 833 ref subst trans appThm 13240 def 13236 remove refl appThm sym nil 346 ref 13239 ref cons 13241 def 13238 remove cons nil cons cons 13242 def 362 ref subst 13242 remove 412 ref subst 56 ref "_37452" 2 ref var 13243 def 56 ref 38 ref 13243 remove varTerm appTerm appTerm 13235 ref appTerm absTerm 13244 def 13223 ref appTerm 13245 def appTerm refl 13244 ref 13232 ref appTerm betaConv appThm 383 ref 13245 remove betaConv appThm 56 ref 38 ref 13232 ref appTerm appTerm 13235 ref appTerm refl appThm trans 13244 remove refl 13246 def 13233 remove assume 13247 def appThm eqMp sym 12810 ref 56 ref "_37454" 2 ref var 13248 def 56 ref 38 ref 707 ref 13248 remove varTerm appTerm 13230 ref appTerm 13231 ref appTerm appTerm appTerm 13235 ref appTerm absTerm 13249 def 12780 ref appTerm 13250 def appTerm refl 13249 ref 664 ref appTerm betaConv appThm 383 ref 13250 remove betaConv appThm 56 ref 38 ref 7656 ref 13230 ref appTerm 13231 ref appTerm 13251 def appTerm appTerm 13235 ref appTerm refl appThm trans 13249 remove refl 12814 ref appThm eqMp sym 383 ref 839 ref nil 794 ref 13231 ref nil cons cons 796 ref 13230 ref nil cons cons nil cons cons nil cons cons 6045 ref subst 6524 ref refl 12815 ref appThm trans 13252 def appThm appThm 13235 ref refl 13253 def appThm sym 20 ref 23 ref 218 ref appTerm 13254 def 6662 remove 38 ref 26 ref 182 ref appTerm 13255 def 29 ref appTerm appTerm 13256 def appTerm appTerm absTerm 13257 def 12828 ref appTerm 13258 def betaConv 677 ref 19 ref 20 ref 23 ref 217 remove 678 ref appTerm appTerm 681 ref 13256 remove appTerm appTerm absTerm appTerm absTerm 13259 def 196 remove appTerm 13260 def betaConv 13116 remove 182 ref appTerm 13261 def betaConv 13119 remove nil 13120 remove 347 ref 13261 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 13121 remove 404 ref 182 ref nil cons cons nil cons 13262 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13259 ref appTerm nil cons cons 347 ref 13260 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13259 remove nil cons cons 6677 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13257 ref appTerm nil cons cons 347 ref 13258 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13257 remove nil cons cons 12956 ref cons nil cons cons 414 ref subst eqMp eqMp 13263 def nil 346 ref 13254 remove 56 ref 6524 remove 12828 ref appTerm 13264 def appTerm 13265 def 38 ref 13255 ref 12828 ref appTerm 13266 def appTerm 13267 def appTerm 13268 def appTerm nil cons cons 13269 def 347 ref 56 ref 38 ref 13264 ref appTerm appTerm 13235 ref appTerm 13270 def nil cons 13271 def cons nil cons 13272 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 633 remove cons nil cons nil cons cons 82 ref subst 218 remove assume eqMp appThm 13268 ref refl appThm nil 77 ref 13268 ref nil cons 13273 def cons nil cons nil cons cons 833 ref subst trans appThm 13274 def 13270 remove refl appThm sym nil 346 ref 13273 ref cons 13275 def 13272 remove cons nil cons cons 13276 def 362 ref subst 13276 remove 412 ref subst 56 ref "_37456" 2 ref var 13277 def 56 ref 38 ref 13277 remove varTerm appTerm appTerm 13235 ref appTerm absTerm 13278 def 13264 ref appTerm 13279 def appTerm refl 13278 remove 13267 ref appTerm betaConv appThm 383 ref 13279 remove betaConv appThm 56 ref 38 ref 13267 ref appTerm appTerm 13235 ref appTerm 13280 def refl appThm trans 13246 remove 13268 remove assume 13281 def appThm eqMp sym 1567 ref 23 ref 269 ref 209 ref 181 remove 1569 ref appTerm 13282 def appTerm appTerm appTerm 270 ref 207 ref appTerm 13283 def 1569 ref appTerm appTerm absTerm 13284 def 182 ref appTerm 13285 def betaConv 1160 ref 14 ref 1567 ref 23 ref 269 ref 24 ref 206 remove 1163 ref appTerm appTerm 13286 def 13282 remove appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm 13287 def 207 ref appTerm 13288 def betaConv 13020 ref 134 ref appTerm 13289 def betaConv 13025 ref nil 13026 ref 347 ref 13289 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 13027 ref 1353 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13287 ref appTerm nil cons cons 347 ref 13288 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13287 remove nil cons cons 7474 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13284 ref appTerm nil cons cons 347 ref 13285 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13284 remove nil cons cons 13262 ref cons nil cons cons 414 ref subst eqMp eqMp 13290 def nil 346 ref 23 ref 269 ref 209 ref 183 ref appTerm appTerm appTerm 13283 ref 182 ref appTerm 13291 def appTerm nil cons cons 13292 def 347 ref 13280 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 6128 ref 7216 ref nil 77 ref 607 remove cons nil cons nil cons cons 82 ref subst 183 remove assume eqMp appThm 1030 ref trans appThm 1030 ref trans appThm 13291 ref refl appThm nil 77 ref 13291 ref nil cons 13293 def cons nil cons nil cons cons 13294 def 833 ref subst trans appThm 13295 def 383 ref nil 77 ref 13266 ref nil cons cons nil cons nil cons cons 3822 remove subst appThm 13253 ref appThm appThm sym nil 346 ref 13293 ref cons 347 ref 56 ref 13266 remove appTerm 13235 ref appTerm 13296 def nil cons 13297 def cons nil cons 13298 def cons nil cons cons 13299 def 362 ref subst 13299 remove 412 ref subst 20 ref 23 ref 13291 ref appTerm 13300 def 56 ref 13255 ref 1791 ref appTerm appTerm 7465 ref appTerm appTerm absTerm 13301 def 12761 ref appTerm 13302 def betaConv 677 ref 19 ref 20 ref 23 ref 13283 remove 678 ref appTerm appTerm 1792 ref 7465 remove appTerm appTerm absTerm appTerm absTerm 13303 def 182 remove appTerm 13304 def betaConv 1803 ref 207 ref appTerm 13305 def betaConv 1805 ref nil 1807 ref 347 ref 13305 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 7474 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13303 ref appTerm nil cons cons 347 ref 13304 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13303 remove nil cons cons 13262 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13301 ref appTerm nil cons cons 347 ref 13302 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13301 remove nil cons cons 12997 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13300 remove 56 ref 13255 ref 12999 ref appTerm appTerm 13235 ref appTerm appTerm nil cons cons 13298 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 13294 remove 82 ref subst 13291 remove assume eqMp appThm 383 ref 13255 remove refl 13002 ref appThm appThm 13253 remove appThm appThm nil 77 ref 13297 ref cons nil cons nil cons cons 13306 def 833 ref subst trans appThm 13296 remove refl 13307 def appThm 13306 remove 851 remove subst trans sym 81 ref eqMp eqMp eqMp nil 379 ref 13293 remove cons 381 ref 13297 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp 13308 def eqMp eqMp eqMp eqMp nil 379 ref 13273 remove cons 13309 def 381 ref 13271 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp eqMp eqMp nil 379 ref 13239 remove cons 13310 def 381 ref 13237 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 13062 ref 381 ref 13215 remove cons nil cons 13311 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13064 ref 13311 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13065 ref 13213 ref appTerm absTerm appTerm nil cons cons 347 ref 13066 ref 13213 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 13067 ref 13311 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 13068 ref 381 ref 13210 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 13180 remove cons 13312 def 381 ref 13162 remove cons nil cons 13313 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13164 remove cons 13314 def 13313 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp proveHyp proveHyp eqMp nil 13076 ref 381 ref 13133 ref cons nil cons 13315 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13078 ref 13315 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13079 ref 13132 ref appTerm absTerm appTerm nil cons cons 13136 remove cons nil cons cons 403 ref subst proveHyp 93 ref 13080 ref 13315 remove cons nil cons cons 893 ref subst eqMp eqMp nil 346 ref 13081 ref 13135 remove appTerm nil cons cons 347 ref 13082 ref 13132 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 13133 remove cons 13083 ref cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp nil 379 ref 13127 remove cons 381 ref 13125 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp proveHyp eqMp nil 12141 ref 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp nil 12141 ref 12142 ref 2464 ref 12146 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp eqMp nil 12143 ref 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 12168 remove cons 13316 def 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 12162 remove cons 13317 def 13084 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 12151 ref 963 ref appTerm appTerm 13318 def 12145 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 12152 remove appTerm 13319 def 12145 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 12151 remove nil cons cons 13320 def 13084 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 379 ref 1929 ref cons 13321 def 13084 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 11626 remove cons 13322 def 381 ref 11606 remove cons nil cons 13323 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11621 remove cons 13324 def 13323 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 11615 ref 963 ref appTerm appTerm 13325 def 11605 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11616 remove appTerm 13326 def 11605 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 11615 remove nil cons cons 13327 def 13323 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 11611 remove cons 13328 def 13323 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 4532 ref 11605 ref appTerm absTerm appTerm nil cons cons 347 ref 4533 ref 11605 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 4534 ref 13323 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp absThm eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 11578 remove cons 381 ref 11579 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 93 ref 90 ref 11561 remove nil cons cons 10733 ref cons nil cons cons 1157 ref subst proveHyp eqMp nil 346 ref 11320 remove nil cons cons 347 ref 11394 remove nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 11531 remove 4677 ref refl appThm 11222 ref refl appThm 10716 remove refl appThm nil 5396 ref 10739 remove cons 1477 ref 11222 ref nil cons 13329 def cons 5466 remove 11534 remove cons cons cons nil cons cons 11549 remove subst trans sym 1442 ref 24 ref 122 ref 123 ref 4677 remove appTerm appTerm 1447 ref appTerm appTerm 24 ref 11232 remove 1447 ref appTerm appTerm 24 ref 10737 remove 1447 ref appTerm appTerm 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 7483 remove 1163 ref appTerm appTerm 24 ref 11309 ref 1161 ref appTerm 13330 def 1569 ref appTerm appTerm 12528 ref 7512 ref appTerm 13331 def appTerm 13332 def appTerm appTerm 11557 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm absTerm 13333 def 136 ref appTerm betaConv sym 1017 ref 1519 ref 5500 remove 1442 ref 122 ref 123 remove 5501 remove appTerm appTerm 1447 ref appTerm absTerm 13334 def 1447 ref appTerm 13335 def betaConv nil 19 ref 13334 ref appTerm 13336 def axiom nil 346 ref 13336 remove nil cons cons 347 ref 13335 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13334 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm 10732 remove appThm 10734 remove trans appThm 11375 remove 11377 remove 1432 ref 1158 ref 4128 ref 1160 ref 4128 ref 1567 ref 4128 remove 7508 ref 96 ref 1017 ref nil 1054 ref 1354 remove cons 3970 remove 5499 remove cons cons nil cons cons 7501 ref subst appThm 13332 ref refl appThm appThm 11557 ref refl appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm nil 77 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 24 ref 1406 remove 136 ref appTerm 13337 def appTerm 13338 def 1324 remove 255 ref appTerm appTerm appTerm 13332 ref appTerm appTerm 11557 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm 13339 def absTerm 13340 def appTerm nil cons cons nil cons nil cons cons 1026 ref subst 13341 def trans appThm 13341 ref trans appThm 13341 remove trans sym nil 90 ref 13340 remove nil cons cons nil cons nil cons cons 95 ref subst 1158 ref nil 77 ref 13339 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref "gnd" 1 ref var 13342 def 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 13338 remove 1323 ref 13342 ref varTerm 13343 def appTerm 255 ref appTerm 13344 def appTerm 13345 def appTerm 13346 def 13332 remove appTerm appTerm 10497 ref 13343 ref appTerm 13347 def 1569 ref appTerm 7512 ref appTerm appTerm absTerm appTerm absTerm appTerm 13348 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 13342 remove nil 77 ref 13348 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref "cqi'" 1 ref var 13349 def 14 ref 7508 ref 23 ref 13346 ref 24 ref 13330 ref 13349 ref varTerm 13350 def appTerm 13351 def appTerm 13352 def 13331 remove appTerm appTerm appTerm 13347 remove 13350 ref appTerm 13353 def 7512 ref appTerm appTerm absTerm appTerm 13354 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 13349 remove nil 77 ref 13354 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 10696 ref 23 ref 13346 remove 13352 ref 12528 remove 10697 ref appTerm 13355 def appTerm 13356 def appTerm 13357 def appTerm 13353 remove 10697 ref appTerm 13358 def appTerm 13359 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10696 ref nil 77 ref 13359 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 13357 remove nil cons 13360 def cons 347 ref 13358 remove nil cons 13361 def cons nil cons cons nil cons cons 13362 def 362 ref subst 13362 remove 412 ref subst nil 379 ref 13345 remove nil cons cons 381 ref 13356 remove nil cons cons nil cons cons nil cons cons 13363 def 395 ref subst 13363 remove 428 ref subst nil 379 ref 13337 ref nil cons 13364 def cons 381 ref 13344 ref nil cons cons nil cons cons nil cons cons 13365 def 395 ref subst 13365 remove 428 ref subst nil 379 ref 13351 ref nil cons cons 381 ref 13355 ref nil cons 13366 def cons nil cons cons nil cons cons 13367 def 395 ref subst 13367 remove 428 ref subst 56 ref "_37856" 1 ref var 13368 def 10497 remove 13368 remove varTerm appTerm 13350 ref appTerm 10697 ref appTerm absTerm 13369 def 13343 remove appTerm 13370 def appTerm refl 13369 ref 255 ref appTerm betaConv appThm 383 ref 13370 remove betaConv appThm 10498 remove 13350 ref appTerm 10697 ref appTerm refl appThm trans 13369 remove refl 13344 remove assume appThm eqMp sym nil 718 ref 12541 remove cons 677 ref 13350 ref nil cons 13371 def cons 740 remove 11526 remove cons 13372 def cons cons nil cons cons 11598 ref subst sym nil 90 ref 2195 ref 56 ref 12551 ref 2198 ref appTerm appTerm 13373 def 11601 remove 709 ref 2198 ref appTerm 13374 def appTerm 13375 def 26 ref 13350 ref appTerm 13376 def 2198 ref appTerm 13377 def appTerm appTerm 13378 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2195 ref nil 77 ref 13378 ref nil cons 13379 def cons nil cons nil cons cons 82 ref subst 4461 ref nil 4464 ref 347 ref 13379 ref cons nil cons 13380 def cons nil cons cons 403 ref subst proveHyp nil 90 ref 2281 ref 11609 ref 13378 ref appTerm 13381 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2281 ref nil 77 ref 13381 remove nil cons cons nil cons nil cons cons 82 ref subst nil 11612 ref 13380 ref cons nil cons cons 13382 def 362 ref subst 13382 remove 412 ref subst 11614 ref nil 11617 ref 13380 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1486 ref 11619 ref 13378 ref appTerm 13383 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 13383 remove nil cons cons nil cons nil cons cons 82 ref subst nil 11622 ref 13380 ref cons nil cons cons 13384 def 362 ref subst 13384 remove 412 ref subst 11625 ref nil 11627 ref 13380 remove cons nil cons cons 13385 def 403 ref subst proveHyp 13385 ref 362 ref subst 13385 remove 412 ref subst 56 ref "_38016" 1 ref var 13386 def 13373 ref 707 ref 26 ref 13386 remove varTerm appTerm 2198 ref appTerm appTerm 13374 ref appTerm 13377 ref appTerm appTerm absTerm 13387 def 4030 ref appTerm 13388 def appTerm refl 13387 ref 4019 ref appTerm betaConv appThm 383 ref 13388 remove betaConv appThm 13373 ref 11632 remove 13374 ref appTerm 13389 def 13377 ref appTerm appTerm refl appThm trans 13387 remove refl 10465 ref appThm eqMp sym 13373 ref refl 11635 ref 13374 ref refl appThm 13377 ref refl appThm appThm sym 383 ref "_38018" 2 ref var 13390 def 13373 ref 13390 remove varTerm appTerm absTerm 13391 def 10545 ref 13374 ref appTerm 13377 ref appTerm appTerm betaConv appThm 1017 ref 11640 ref 13391 ref 13374 ref appTerm betaConv appThm appThm 2113 ref 13391 ref 13377 ref appTerm betaConv 13392 def appThm appThm appThm nil 6161 ref 13377 ref nil cons cons 6162 ref 13374 ref nil cons cons 11643 ref cons cons nil cons cons nil 6166 ref 13391 remove nil cons cons nil cons nil cons cons 6167 ref subst subst eqMp sym nil 11644 ref 347 ref 13373 ref 13374 ref appTerm 13393 def nil cons 13394 def cons nil cons 13395 def cons nil cons cons 13396 def 362 ref subst 13396 remove 412 ref subst 1542 remove 5995 remove appThm nil 77 ref 13364 remove cons nil cons nil cons cons 82 ref subst 13337 remove assume 13397 def eqMp trans sym 81 ref eqMp nil 346 ref 5980 remove nil cons cons 347 ref 108 ref 10695 ref 5981 remove 10700 ref appTerm 13398 def absTerm 13399 def appTerm 13400 def nil cons 13401 def cons nil cons cons nil cons cons 403 ref subst proveHyp 7229 remove 1560 ref subst eqMp nil 346 ref 13401 remove cons 13395 ref cons nil cons cons 403 ref subst nil 5 ref 10695 ref 23 ref 13399 ref 10700 ref appTerm 13402 def appTerm 13393 ref appTerm 13403 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10695 ref nil 77 ref 13403 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 13402 ref nil cons 13404 def cons 13395 ref cons nil cons cons 13405 def 362 ref subst 13405 remove 412 ref subst 13402 ref betaConv 13402 remove assume eqMp nil 346 ref 13398 ref nil cons 13406 def cons 13395 ref cons nil cons cons 13407 def 403 ref subst proveHyp 13407 ref 362 ref subst 13407 remove 412 ref subst 1567 ref 23 ref 12634 ref 24 ref 13398 ref appTerm 13408 def 12643 remove appTerm appTerm appTerm 10709 ref appTerm absTerm 13409 def 10697 ref appTerm 13410 def betaConv 12644 ref 10700 ref appTerm 13411 def betaConv 12646 ref 1161 ref appTerm 13412 def betaConv 12654 ref nil 12655 ref 347 ref 13412 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 12656 ref 1510 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 12645 remove nil cons cons 347 ref 13411 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 12644 remove nil cons cons 12660 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13409 ref appTerm nil cons cons 347 ref 13410 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13409 remove nil cons cons 12542 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 12634 ref 13408 remove 13355 ref appTerm appTerm appTerm 12661 ref appTerm nil cons cons 13395 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10731 ref 1017 ref nil 77 ref 13406 ref cons nil cons nil cons cons 82 ref subst 13398 remove assume eqMp appThm nil 77 ref 13366 remove cons nil cons nil cons cons 82 ref subst 13355 remove assume 13413 def eqMp appThm 1030 ref trans appThm 1030 ref trans appThm 12664 ref appThm 12666 ref trans appThm 13393 ref refl appThm sym nil 12667 ref 13395 remove cons nil cons cons 13414 def 362 ref subst 13414 remove 412 ref subst 56 ref "_38027" 1 ref var 13415 def 56 ref 26 ref 13415 remove varTerm appTerm 2198 ref appTerm appTerm 13374 ref appTerm absTerm 13416 def 10697 ref appTerm 13417 def appTerm refl 13416 ref 10704 ref appTerm betaConv appThm 383 ref 13417 remove betaConv appThm 56 ref 12672 ref 2198 ref appTerm appTerm 13374 ref appTerm refl appThm trans 13416 remove refl 12673 ref appThm eqMp sym 383 ref nil 12676 ref nil cons cons 4453 ref subst 12677 ref 11876 remove appThm nil 10483 remove 12678 ref cons nil cons cons 4524 ref subst 12679 ref 2788 ref appThm 10702 ref 134 ref appTerm betaConv 1017 ref 839 ref 2764 remove appThm 3475 ref trans appThm 13418 def 12706 remove refl appThm 12707 remove trans trans trans trans trans trans appThm nil 4221 remove nil cons nil cons cons 792 ref subst 13419 def appThm 5752 ref trans sym 81 ref eqMp eqMp eqMp nil 13069 ref 381 ref 13394 remove cons nil cons 13420 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13406 remove cons 13420 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 13404 remove cons 13420 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 13399 ref 684 ref appTerm appTerm 13393 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 13400 remove appTerm 13393 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13399 remove nil cons cons 13420 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 12144 ref 13420 remove cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 11639 ref 13393 remove appTerm nil cons cons 347 ref 2107 ref 13373 ref 13377 ref appTerm 13421 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 1930 ref 347 ref 13421 ref nil cons 13422 def cons nil cons 13423 def cons nil cons cons 13424 def 362 ref subst 13424 remove 412 ref subst 12150 ref nil 12153 ref 13423 ref cons nil cons cons 403 ref subst proveHyp 12155 ref 13421 ref refl 13425 def appThm sym nil 90 ref 12157 ref 12160 ref 13421 ref appTerm 13426 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 12157 ref nil 77 ref 13426 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12163 ref 13423 ref cons nil cons cons 13427 def 362 ref subst 13427 remove 412 ref subst 12165 ref nil 12169 ref 13423 ref cons nil cons cons 13428 def 403 ref subst proveHyp 13428 ref 362 ref subst 13428 remove 412 ref subst 11650 remove nil 11654 remove 13423 ref cons nil cons cons 13429 def 403 ref subst proveHyp 13429 ref 362 ref subst 13429 remove 412 ref subst nil 90 ref 11656 ref 11659 remove 13421 ref appTerm 13430 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 11656 remove nil 77 ref 13430 remove nil cons cons nil cons nil cons cons 82 ref subst nil 11662 remove 13423 ref cons nil cons cons 13431 def 362 ref subst 13431 remove 412 ref subst 11664 remove nil 11668 remove 13423 ref cons nil cons cons 13432 def 403 ref subst proveHyp 13432 ref 362 ref subst 13432 remove 412 ref subst 12175 remove 11699 remove 11736 remove 11700 remove 56 ref "_38509" 16 ref var 13433 def 1400 remove 13433 remove varTerm appTerm 136 remove appTerm absTerm 13434 def 1161 ref appTerm 13435 def appTerm refl 13434 ref 11665 ref appTerm betaConv appThm 383 ref 13435 remove betaConv appThm 11695 remove refl appThm trans 13434 remove refl 11691 ref appThm eqMp 13397 remove eqMp eqMp eqMp 13436 def trans 13437 def trans sym 81 ref eqMp 12183 remove proveHyp 12184 remove eqMp nil 12185 remove 13423 ref cons nil cons cons 403 ref subst nil 5 ref 12176 ref 12187 remove 13421 ref appTerm 13438 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 12176 remove nil 77 ref 13438 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12190 remove 13423 ref cons nil cons cons 13439 def 362 ref subst 13439 remove 412 ref subst 12192 remove nil 12194 remove 13423 ref cons nil cons cons 13440 def 403 ref subst proveHyp 13440 ref 362 ref subst 13440 remove 412 ref subst 12196 remove 12198 remove 1017 ref 13436 ref appThm 13441 def 12199 remove appThm 1030 ref trans sym 81 ref eqMp eqMp 12200 remove proveHyp 12201 remove proveHyp 12202 remove eqMp 13442 def eqMp 12211 remove proveHyp 12212 remove eqMp nil 346 ref 108 ref "cpis'" 1 ref var 13443 def 12205 remove 13443 ref varTerm 13444 def appTerm 13445 def absTerm 13446 def appTerm 13447 def nil cons cons 13423 ref cons nil cons cons 403 ref subst nil 5 ref 13443 ref 23 ref 13446 ref 13444 ref appTerm 13448 def appTerm 13421 ref appTerm 13449 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 13443 remove nil 77 ref 13449 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 13448 ref nil cons 13450 def cons 13423 ref cons nil cons cons 13451 def 362 ref subst 13451 remove 412 ref subst 13448 ref betaConv 13448 remove assume eqMp nil 346 ref 13445 ref nil cons 13452 def cons 13423 ref cons nil cons cons 13453 def 403 ref subst proveHyp 13453 ref 362 ref subst 13453 remove 412 ref subst 1054 ref 23 ref 11385 remove appTerm 13454 def 56 ref 167 ref 10998 ref appTerm 13455 def 11657 ref appTerm 13456 def 1057 ref appTerm appTerm 11710 ref 11309 ref 11711 ref appTerm 13457 def 1057 ref appTerm appTerm appTerm appTerm absTerm 13458 def 13350 ref appTerm 13459 def betaConv 1158 ref 14 ref 1054 ref 13454 ref 56 ref 13455 remove 1161 ref appTerm 13460 def 1057 ref appTerm appTerm 1466 ref 11309 ref 1468 ref appTerm 1057 ref appTerm 13461 def appTerm 13462 def appTerm appTerm absTerm appTerm absTerm 13463 def 11657 ref appTerm 13464 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 11314 remove 1478 ref appTerm appTerm 1480 ref 13462 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13465 def 10998 ref appTerm 13466 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 11313 remove 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 13461 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13467 def 131 ref appTerm 13468 def betaConv 1486 ref 19 ref 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 11312 remove 1487 ref appTerm 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 ref 11309 ref 1493 remove appTerm 1057 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13469 def 135 ref appTerm 13470 def betaConv 1497 remove 11222 ref appTerm 13471 def betaConv 1500 remove nil 1501 remove 347 ref 13471 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 1502 remove 415 ref 13329 remove cons nil cons 13472 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13469 ref appTerm nil cons cons 347 ref 13470 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13469 remove nil cons cons 1507 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13467 ref appTerm nil cons cons 347 ref 13468 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13467 remove nil cons cons 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 13465 ref appTerm nil cons cons 347 ref 13466 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 13465 remove nil cons cons 11032 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13463 ref appTerm nil cons cons 347 ref 13464 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13463 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13458 ref appTerm nil cons cons 347 ref 13459 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13458 remove nil cons cons 404 ref 13371 ref cons nil cons 13473 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13454 remove 56 ref 13456 ref 13350 ref appTerm 13474 def appTerm 13475 def 11710 ref 13457 remove 13350 ref appTerm 13476 def appTerm appTerm appTerm nil cons cons 13423 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 11386 remove appThm 13475 ref refl 13477 def 13441 ref 13476 ref refl appThm nil 77 ref 13476 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm appThm nil 77 ref 13475 remove 13476 remove appTerm nil cons cons nil cons nil cons cons 833 ref subst trans appThm 13425 ref appThm sym 96 ref 13477 remove 11309 ref refl 11746 ref appThm 13350 ref refl appThm nil 77 ref 11309 ref 11665 ref appTerm 13350 ref appTerm 13478 def nil cons cons nil cons nil cons cons 82 ref subst 56 ref "_38511" 16 ref var 13479 def 11309 ref 13479 remove varTerm appTerm 13350 ref appTerm absTerm 13480 def 1161 ref appTerm 13481 def appTerm refl 13482 def 13480 ref 11665 ref appTerm betaConv appThm 383 ref 13481 remove betaConv appThm 13483 def 13478 remove refl appThm trans 13480 remove refl 13484 def 11691 ref appThm eqMp 13351 remove assume 13485 def eqMp eqMp trans appThm nil 77 ref 13474 ref nil cons 13486 def cons nil cons nil cons cons 13487 def 1539 ref subst trans appThm 13425 ref appThm sym nil 346 ref 13486 ref cons 13423 ref cons nil cons cons 13488 def 362 ref subst 13488 remove 412 ref subst 12273 remove nil 12277 remove 13423 ref cons nil cons cons 403 ref subst proveHyp 96 ref 12278 remove 12279 remove 13441 ref 12280 remove appThm 12281 remove trans appThm appThm 12282 remove trans appThm 13425 ref appThm sym 12286 remove 13425 ref appThm sym nil 12287 remove 13423 ref cons nil cons cons 13489 def 362 ref subst 13489 remove 412 ref subst 12294 remove 13444 ref appTerm 13490 def betaConv 12308 remove nil 12309 remove 347 ref 13490 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 12310 remove 404 ref 13444 ref nil cons cons nil cons 13491 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 12289 remove 56 ref 12291 remove 13444 ref appTerm 13492 def appTerm 13493 def 11710 ref 12293 remove 13444 ref appTerm 13494 def appTerm appTerm appTerm nil cons cons 13423 ref cons nil cons cons 403 ref subst proveHyp 96 ref 12315 remove 13493 ref refl 13495 def 13441 ref 13494 ref refl appThm nil 77 ref 13494 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm appThm nil 77 ref 13493 remove 13494 remove appTerm nil cons cons nil cons nil cons cons 833 ref subst trans appThm 13425 ref appThm sym 96 ref 13495 remove 12317 remove 13444 ref refl appThm nil 77 ref 13452 ref cons nil cons nil cons cons 82 ref subst 13445 ref assume eqMp 13496 def trans appThm nil 77 ref 13492 ref nil cons 13497 def cons nil cons nil cons cons 13498 def 1539 ref subst trans appThm 13425 ref appThm sym nil 346 ref 13497 ref cons 13423 ref cons nil cons cons 13499 def 362 ref subst 13499 remove 412 ref subst 12338 remove nil 12341 remove 13423 ref cons nil cons cons 403 ref subst proveHyp 12343 remove 13425 ref appThm sym nil 12344 remove 13423 ref cons nil cons cons 13500 def 362 ref subst 13500 remove 412 ref subst 12348 remove 428 ref subst 7508 ref 23 ref 24 ref 12339 ref appTerm 13501 def 12349 ref 24 ref 13492 ref appTerm 13502 def 13456 remove 7512 ref appTerm 13503 def appTerm appTerm appTerm appTerm 4663 ref 12178 ref appTerm 13504 def 13444 ref appTerm 13505 def 7512 ref appTerm appTerm absTerm 13506 def 13350 ref appTerm 13507 def betaConv 1567 ref 14 ref 7508 ref 23 ref 13501 ref 12349 ref 12356 remove 13503 remove appTerm 13508 def appTerm appTerm appTerm 13504 ref 1569 ref appTerm 7512 ref appTerm appTerm absTerm appTerm absTerm 13509 def 13444 ref appTerm 13510 def betaConv 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 13501 ref 12360 remove 13508 remove appTerm appTerm appTerm 9023 ref appTerm absTerm appTerm absTerm appTerm absTerm 13511 def 12178 ref appTerm 13512 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 13501 ref 12364 remove 12365 remove 13460 remove 7512 ref appTerm appTerm appTerm appTerm appTerm 9023 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13513 def 11657 ref appTerm 13514 def betaConv 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 12327 remove 5397 ref appTerm appTerm 12368 remove appTerm appTerm 9023 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13515 def 10998 remove appTerm 13516 def betaConv 1477 ref 11 ref 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 12334 remove 5397 ref appTerm appTerm 12371 remove appTerm appTerm 9023 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13517 def 10908 remove appTerm 13518 def betaConv 9045 ref 10850 remove appTerm 13519 def betaConv 9047 ref nil 9049 ref 347 ref 13519 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9093 ref 11005 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 13517 ref appTerm nil cons cons 347 ref 13518 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 13517 remove nil cons cons 11033 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 13515 ref appTerm nil cons cons 347 ref 13516 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 13515 remove nil cons cons 11032 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13513 ref appTerm nil cons cons 347 ref 13514 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13513 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13511 ref appTerm nil cons cons 347 ref 13512 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13511 remove nil cons cons 12272 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13509 ref appTerm nil cons cons 347 ref 13510 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13509 remove nil cons cons 13491 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13506 ref appTerm nil cons cons 347 ref 13507 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13506 remove nil cons cons 13473 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 13501 remove 12349 remove 13502 remove 13474 ref appTerm appTerm appTerm appTerm 13505 ref 13350 ref appTerm 13520 def appTerm nil cons cons 13423 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1017 ref nil 77 ref 12347 remove cons nil cons nil cons cons 82 ref subst 12339 remove assume eqMp appThm 12381 remove 1017 ref 13498 remove 82 ref subst 13492 remove assume eqMp appThm 13487 remove 82 ref subst 13474 remove assume eqMp appThm 1030 ref trans appThm 1030 ref trans appThm 1030 ref trans appThm 13520 ref refl appThm nil 77 ref 13520 ref nil cons 13521 def cons nil cons nil cons cons 13522 def 833 ref subst trans appThm 13425 ref appThm sym nil 346 ref 13521 ref cons 13423 ref cons nil cons cons 13523 def 362 ref subst 13523 remove 412 ref subst 20 ref 23 ref 13520 ref appTerm 13524 def 56 ref 13376 remove 29 ref appTerm appTerm 24 ref 12387 remove appTerm 13525 def 26 ref 13444 ref appTerm 13526 def 29 ref appTerm appTerm 13527 def appTerm appTerm absTerm 13528 def 2198 ref appTerm 13529 def betaConv 718 ref 19 ref 20 ref 23 ref 13505 remove 719 ref appTerm appTerm 720 ref 13527 remove appTerm appTerm absTerm appTerm absTerm 13530 def 13350 ref appTerm 13531 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 13504 remove 678 ref appTerm 719 ref appTerm appTerm 720 ref 13525 remove 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13532 def 13444 ref appTerm 13533 def betaConv 6671 ref 12178 remove appTerm 13534 def betaConv 6674 ref nil 6675 ref 347 ref 13534 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 6676 ref 12272 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13532 ref appTerm nil cons cons 347 ref 13533 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13532 remove nil cons cons 13491 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13530 ref appTerm nil cons cons 347 ref 13531 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13530 remove nil cons cons 13473 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13528 ref appTerm nil cons cons 347 ref 13529 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13528 remove nil cons cons 2598 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13524 remove 56 ref 13377 ref appTerm 24 ref 12398 remove appTerm 13526 ref 2198 ref appTerm appTerm 13535 def appTerm 13536 def appTerm nil cons cons 13423 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 13522 remove 82 ref subst 13520 remove assume eqMp appThm 13536 ref refl appThm nil 77 ref 13536 ref nil cons 13537 def cons nil cons nil cons cons 833 ref subst trans appThm 13425 remove appThm sym nil 346 ref 13537 ref cons 13423 ref cons nil cons cons 13538 def 362 ref subst 13538 remove 412 ref subst 56 ref "_39025" 2 ref var 13539 def 13373 ref 13539 remove varTerm appTerm absTerm 13540 def 13377 remove appTerm appTerm refl 13540 ref 13535 ref appTerm betaConv appThm 383 ref 13392 remove appThm 13373 ref 13535 remove appTerm 13541 def refl appThm trans 13540 remove refl 13542 def 13536 remove assume appThm eqMp sym 12411 ref nil 12419 ref 347 ref 13541 ref nil cons 13543 def cons nil cons 13544 def cons nil cons cons 403 ref subst proveHyp 12425 ref nil 12426 ref 347 ref 12427 ref 13541 ref appTerm 13545 def nil cons cons nil cons 13546 def cons nil cons cons 412 ref subst proveHyp nil 90 ref 11415 ref 12431 ref 13541 ref appTerm 13547 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 11415 ref nil 77 ref 13547 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12434 ref 13544 ref cons nil cons cons 13548 def 362 ref subst 13548 remove 412 ref subst 12436 ref nil 12438 ref 13544 remove cons nil cons cons 13549 def 403 ref subst proveHyp 13549 ref 362 ref subst 13549 remove 412 ref subst 12442 ref 12443 ref 56 ref "_39027" 16 ref var 13550 def 56 ref 12551 ref 13550 remove varTerm 13551 def appTerm appTerm 24 ref 12386 remove 13551 ref appTerm appTerm 13526 ref 13551 remove appTerm appTerm appTerm absTerm 13552 def 2198 ref appTerm 13553 def appTerm refl 13552 ref 11418 ref appTerm betaConv appThm 383 ref 13553 remove betaConv appThm 56 ref 12551 ref 11418 ref appTerm appTerm 13554 def 24 ref 12449 ref appTerm 13526 ref 11418 ref appTerm 13555 def appTerm appTerm 13556 def refl 13557 def appThm trans 13552 remove refl 11469 ref appThm eqMp sym 11694 ref 10779 remove 1440 ref trans appThm 13437 ref trans sym 81 ref eqMp nil 346 ref 11671 ref 10632 remove appTerm nil cons cons 347 ref 108 ref 10563 ref 11750 ref absTerm 13558 def appTerm 13559 def nil cons 13560 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 11795 ref 10759 ref cons nil cons cons 1560 ref subst eqMp nil 346 ref 13560 remove cons 347 ref 13556 ref nil cons 13561 def cons nil cons 13562 def cons nil cons cons 403 ref subst nil 5 ref 10563 ref 23 ref 13558 ref 10564 ref appTerm 13563 def appTerm 13556 ref appTerm 13564 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10563 remove nil 77 ref 13564 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 13563 ref nil cons 13565 def cons 13562 ref cons nil cons cons 13566 def 362 ref subst 13566 remove 412 ref subst 13563 ref betaConv 13563 remove assume eqMp nil 346 ref 11751 ref cons 13562 ref cons nil cons cons 13567 def 403 ref subst proveHyp 13567 ref 362 ref subst 13567 remove 412 ref subst 12486 remove nil 12488 remove 13562 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10777 remove 1017 ref 11752 remove 11750 remove assume eqMp 13568 def appThm 12283 remove appThm 1030 ref trans appThm 1030 ref trans appThm 12489 remove appThm 12492 remove trans appThm 13557 ref appThm sym nil 12493 remove 13562 ref cons nil cons cons 13569 def 362 ref subst 13569 remove 412 ref subst 12503 remove nil 12506 remove 13562 ref cons nil cons cons 403 ref subst proveHyp 12511 remove 13557 remove appThm sym nil 12512 remove 13562 remove cons nil cons cons 13570 def 362 ref subst 13570 remove 412 ref subst 56 ref "_39205" 2 ref var 13571 def 13554 ref 24 ref 13571 remove varTerm appTerm 13555 ref appTerm appTerm absTerm 13572 def 12449 remove appTerm 13573 def appTerm refl 13572 ref 12505 ref appTerm betaConv appThm 383 ref 13573 remove betaConv appThm 13554 ref 24 ref 12505 remove appTerm 13574 def 13555 ref appTerm appTerm 13575 def refl 13576 def appThm trans 13572 remove refl 12520 remove appThm eqMp sym 12454 remove 13442 ref eqMp 12460 remove proveHyp 12461 remove eqMp nil 346 ref 108 ref "cris'" 1 ref var 13577 def 12455 remove 13577 ref varTerm 13578 def appTerm 13579 def absTerm 13580 def appTerm 13581 def nil cons cons 347 ref 13575 ref nil cons 13582 def cons nil cons 13583 def cons nil cons cons 403 ref subst nil 5 ref 13577 ref 23 ref 13580 ref 13578 ref appTerm 13584 def appTerm 13575 ref appTerm 13585 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 13577 remove nil 77 ref 13585 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 13584 ref nil cons 13586 def cons 13583 ref cons nil cons cons 13587 def 362 ref subst 13587 remove 412 ref subst 13584 ref betaConv 13584 remove assume eqMp nil 346 ref 13579 ref nil cons 13588 def cons 13583 ref cons nil cons cons 13589 def 403 ref subst proveHyp 13589 ref 362 ref subst 13589 remove 412 ref subst 1567 ref 23 ref 11327 ref 24 ref 13579 ref appTerm 13590 def 12522 remove appTerm appTerm appTerm 270 ref 13578 ref appTerm 13591 def 1569 ref appTerm appTerm absTerm 13592 def 13444 ref appTerm 13593 def betaConv 12526 remove 13578 ref appTerm 13594 def betaConv 12538 remove nil 12539 remove 347 ref 13594 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 12540 remove 404 ref 13578 ref nil cons cons nil cons 13595 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13592 ref appTerm nil cons cons 347 ref 13593 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13592 remove nil cons cons 13491 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 11327 ref 13590 remove 13445 remove appTerm appTerm appTerm 13591 ref 13444 ref appTerm 13596 def appTerm nil cons cons 13583 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10882 ref 1017 ref nil 77 ref 13588 ref cons nil cons nil cons cons 82 ref subst 13579 ref assume eqMp 13597 def appThm 13496 remove appThm 1030 ref trans appThm 1030 ref trans appThm 13596 ref refl appThm nil 77 ref 13596 ref nil cons 13598 def cons nil cons nil cons cons 13599 def 833 ref subst trans appThm 13576 ref appThm sym nil 346 ref 13598 ref cons 13583 ref cons nil cons cons 13600 def 362 ref subst 13600 remove 412 ref subst 20 ref 23 ref 13596 ref appTerm 13601 def 56 ref 13526 ref 1791 ref appTerm appTerm 26 ref 13578 ref appTerm 13602 def 29 ref appTerm 13603 def appTerm appTerm absTerm 13604 def 11417 ref appTerm 13605 def betaConv 677 ref 19 ref 20 ref 23 ref 13591 remove 678 ref appTerm appTerm 1792 ref 13603 remove appTerm appTerm absTerm appTerm absTerm 13606 def 13444 remove appTerm 13607 def betaConv 1803 ref 13578 ref appTerm 13608 def betaConv 1805 ref nil 1807 ref 347 ref 13608 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 13595 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13606 ref appTerm nil cons cons 347 ref 13607 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13606 remove nil cons cons 13491 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13604 ref appTerm nil cons cons 347 ref 13605 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13604 remove nil cons cons 12502 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13601 remove 56 ref 13526 ref 12504 ref appTerm appTerm 13602 remove 11417 ref appTerm 13609 def appTerm appTerm nil cons cons 13583 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 13599 remove 82 ref subst 13596 remove assume eqMp appThm 383 ref 13526 remove refl 12508 remove appThm appThm 13609 ref refl 13610 def appThm appThm nil 77 ref 56 ref 13555 ref appTerm 13609 ref appTerm 13611 def nil cons 13612 def cons nil cons nil cons cons 833 ref subst trans appThm 13576 remove appThm sym nil 346 ref 13612 ref cons 13583 remove cons nil cons cons 13613 def 362 ref subst 13613 remove 412 ref subst 56 ref "_39207" 2 ref var 13614 def 13554 ref 13574 ref 13614 remove varTerm appTerm appTerm absTerm 13615 def 13555 remove appTerm 13616 def appTerm refl 13615 ref 13609 ref appTerm betaConv appThm 383 ref 13616 remove betaConv appThm 13554 ref 13574 remove 13609 ref appTerm appTerm 13617 def refl 13618 def appThm trans 13615 remove refl 13611 remove assume appThm eqMp sym 11729 remove nil 11733 remove 347 ref 13617 ref nil cons 13619 def cons nil cons 13620 def cons nil cons cons 403 ref subst proveHyp 96 ref 11734 remove 11735 ref 13441 ref 11739 remove appThm 11740 remove trans appThm appThm 11741 remove trans appThm 13618 ref appThm sym 96 ref 11735 remove 11748 remove 13568 remove trans appThm 11763 remove trans appThm 13618 ref appThm sym nil 11765 remove 13620 ref cons nil cons cons 13621 def 362 ref subst 13621 remove 412 ref subst 11768 remove 13436 ref trans sym 81 ref eqMp 11774 remove proveHyp 11776 remove eqMp nil 11778 remove 13620 ref cons nil cons cons 403 ref subst nil 5 ref 10562 ref 11780 remove 13617 ref appTerm 13622 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10562 remove nil 77 ref 13622 remove nil cons cons nil cons nil cons cons 82 ref subst nil 11783 remove 13620 ref cons nil cons cons 13623 def 362 ref subst 13623 remove 412 ref subst 11785 remove nil 11787 remove 13620 ref cons nil cons cons 13624 def 403 ref subst proveHyp 13624 ref 362 ref subst 13624 remove 412 ref subst 11831 remove nil 11832 remove 13620 ref cons nil cons cons 403 ref subst proveHyp 11836 remove 13618 remove appThm sym nil 11837 remove 13620 remove cons nil cons cons 13625 def 362 ref subst 13625 remove 412 ref subst 56 ref "_39209" 1 ref var 13626 def 13554 ref 24 ref 26 ref 13626 remove varTerm appTerm 11417 ref appTerm appTerm 13609 ref appTerm appTerm absTerm 13627 def 10564 remove appTerm 13628 def appTerm refl 13627 ref 10571 remove appTerm betaConv appThm 383 ref 13628 remove betaConv appThm 13554 ref 24 ref 12579 remove appTerm 13609 ref appTerm appTerm refl appThm trans 13627 remove refl 11847 remove appThm eqMp sym 13554 ref refl 13629 def 1017 ref 12606 remove appThm 13610 remove appThm appThm sym 12607 remove 13442 ref eqMp 12613 remove proveHyp 12614 remove eqMp nil 346 ref 108 ref "cris" 1 ref var 13630 def 12608 remove 13630 ref varTerm 13631 def appTerm 13632 def absTerm 13633 def appTerm 13634 def nil cons cons 347 ref 13554 ref 24 ref 12623 remove appTerm 13635 def 13609 remove appTerm appTerm 13636 def nil cons 13637 def cons nil cons 13638 def cons nil cons cons 403 ref subst nil 5 ref 13630 ref 23 ref 13633 ref 13631 ref appTerm 13639 def appTerm 13636 ref appTerm 13640 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 13630 remove nil 77 ref 13640 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 13639 ref nil cons 13641 def cons 13638 ref cons nil cons cons 13642 def 362 ref subst 13642 remove 412 ref subst 13639 ref betaConv 13639 remove assume eqMp nil 346 ref 13632 ref nil cons 13643 def cons 13638 ref cons nil cons cons 13644 def 403 ref subst proveHyp 13644 ref 362 ref subst 13644 remove 412 ref subst 1567 ref 23 ref 12634 ref 24 ref 13632 ref appTerm 13645 def 12636 remove appTerm appTerm appTerm 10707 ref 13631 ref appTerm 13646 def 1569 ref appTerm appTerm absTerm 13647 def 13578 ref appTerm 13648 def betaConv 12640 remove 13631 ref appTerm 13649 def betaConv 12657 remove nil 12658 remove 347 ref 13649 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 12659 remove 404 ref 13631 ref nil cons cons nil cons 13650 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13647 ref appTerm nil cons cons 347 ref 13648 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13647 remove nil cons cons 13595 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 12634 ref 13645 ref 13579 remove appTerm appTerm appTerm 13646 ref 13578 ref appTerm appTerm nil cons cons 13638 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10731 ref 1017 ref nil 77 ref 13643 ref cons nil cons nil cons cons 82 ref subst 13632 remove assume eqMp appThm 13651 def 13597 remove appThm 1030 ref trans appThm 1030 ref trans appThm 13646 remove betaConv 13578 ref refl appThm 10696 ref 10698 ref 3944 ref 2281 ref 1486 ref 10699 ref 26 ref 13631 ref appTerm 13652 def 4045 ref appTerm appTerm absTerm 13653 def absTerm 13654 def appTerm 13655 def appTerm absTerm 13578 ref appTerm betaConv trans appThm nil 77 ref 1323 ref 13578 ref appTerm 13655 ref appTerm 13656 def nil cons 13657 def cons nil cons nil cons cons 833 ref subst trans appThm 13636 ref refl appThm sym nil 346 ref 13657 ref cons 13638 remove cons nil cons cons 13658 def 362 ref subst 13658 remove 412 ref subst 56 ref "_39211" 1 ref var 13659 def 13554 ref 13635 ref 26 ref 13659 remove varTerm appTerm 11417 ref appTerm appTerm appTerm absTerm 13660 def 13578 remove appTerm 13661 def appTerm refl 13660 ref 13655 ref appTerm betaConv appThm 383 ref 13661 remove betaConv appThm 13554 ref 13635 ref 26 ref 13655 remove appTerm 11417 ref appTerm appTerm appTerm refl appThm trans 13660 remove refl 13656 remove assume appThm eqMp sym 13629 ref 13635 ref refl nil 11434 ref 3859 ref 13654 ref nil cons 13662 def cons nil cons cons nil cons cons 4453 ref subst 3877 ref 13654 ref appTerm refl 12603 ref appThm nil 12604 ref 2328 ref 4494 ref 13662 remove cons nil cons cons cons nil cons cons 4524 ref subst 13654 remove 2283 ref appTerm betaConv 12605 ref appThm 13653 remove 12158 ref appTerm betaConv trans trans trans trans appThm appThm sym 11694 ref 7192 remove appThm 13437 ref trans sym 81 ref eqMp nil 346 ref 11671 ref 162 remove appTerm nil cons cons 347 ref 108 ref 10695 ref 205 ref 11665 ref appTerm 13663 def 10700 ref appTerm 13664 def absTerm 13665 def appTerm 13666 def nil cons 13667 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 11795 ref 5471 remove cons nil cons cons 1560 ref subst eqMp nil 346 ref 13667 remove cons 347 ref 13554 ref 13635 remove 12682 ref 13652 ref 12621 ref appTerm appTerm appTerm 13668 def appTerm 13669 def nil cons 13670 def cons nil cons 13671 def cons nil cons cons 403 ref subst nil 5 ref 10695 ref 23 ref 13665 ref 10700 ref appTerm 13672 def appTerm 13669 ref appTerm 13673 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 10695 remove nil 77 ref 13673 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 13672 ref nil cons 13674 def cons 13671 ref cons nil cons cons 13675 def 362 ref subst 13675 remove 412 ref subst 13672 ref betaConv 13672 remove assume eqMp nil 346 ref 13664 ref nil cons 13676 def cons 13671 ref cons nil cons cons 13677 def 403 ref subst proveHyp 13677 ref 362 ref subst 13677 remove 412 ref subst 1567 ref 23 ref 12634 ref 24 ref 13664 ref appTerm 13678 def 10743 ref 11665 ref appTerm 13679 def 1569 ref appTerm 13680 def appTerm appTerm appTerm 10709 remove appTerm absTerm 13681 def 10697 ref appTerm 13682 def betaConv 1160 ref 14 ref 1567 ref 23 ref 12634 ref 24 ref 13663 remove 1163 ref appTerm appTerm 13680 remove appTerm appTerm appTerm 10712 ref appTerm absTerm appTerm absTerm 13683 def 10700 ref appTerm 13684 def betaConv 12646 ref 11665 ref appTerm 13685 def betaConv 12654 ref nil 12655 ref 347 ref 13685 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 12656 ref 11679 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13683 ref appTerm nil cons cons 347 ref 13684 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13683 remove nil cons cons 12660 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13681 ref appTerm nil cons cons 347 ref 13682 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13681 remove nil cons cons 12542 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 12634 ref 13678 remove 13679 remove 10697 ref appTerm 13686 def appTerm appTerm appTerm 12661 remove appTerm nil cons cons 13671 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10731 ref 1017 ref nil 77 ref 13676 ref cons nil cons nil cons cons 82 ref subst 13664 remove assume eqMp 13687 def appThm nil 77 ref 13686 ref nil cons cons nil cons nil cons cons 82 ref subst 56 ref "_38513" 16 ref var 13688 def 10743 ref 13688 remove varTerm appTerm 10697 ref appTerm absTerm 13689 def 1161 ref appTerm 13690 def appTerm refl 13691 def 13689 ref 11665 ref appTerm betaConv appThm 383 ref 13690 remove betaConv appThm 13692 def 13686 remove refl appThm trans 13689 remove refl 13693 def 11691 remove appThm eqMp 13413 ref eqMp eqMp appThm 1030 ref trans appThm 1030 ref trans appThm 12664 remove appThm 12666 remove trans appThm 13669 ref refl appThm sym nil 12667 remove 13671 remove cons nil cons cons 13694 def 362 ref subst 13694 remove 412 ref subst 56 ref "_39213" 1 ref var 13695 def 56 ref 26 ref 13695 remove varTerm appTerm 11418 ref appTerm appTerm 13668 ref appTerm absTerm 13696 def 10697 ref appTerm 13697 def appTerm refl 13696 ref 10704 remove appTerm betaConv appThm 383 ref 13697 remove betaConv appThm 56 ref 12672 remove 11418 ref appTerm appTerm 13668 ref appTerm refl appThm trans 13696 remove refl 12673 remove appThm eqMp sym 383 ref nil 12580 ref 12676 remove cons nil cons cons 4453 ref subst 12677 remove 12585 ref appThm nil 12587 ref 12678 remove cons nil cons cons 4524 ref subst 12679 remove 12588 ref appThm 10702 remove 12166 ref appTerm betaConv 1017 ref 839 ref 12591 remove appThm 3162 ref trans appThm 13698 def 12703 remove 12599 ref appThm appThm nil 77 ref 10701 remove 12600 ref appTerm 13699 def nil cons cons nil cons nil cons cons 1026 ref subst trans trans trans trans trans trans appThm 13668 ref refl appThm sym 1054 ref 23 ref 214 ref appTerm 13700 def 56 ref 167 ref 213 ref appTerm 13701 def 11657 ref appTerm 13702 def 1057 ref appTerm appTerm 11710 ref 205 ref 11711 ref appTerm 13703 def 1057 ref appTerm appTerm appTerm appTerm absTerm 13704 def 10700 ref appTerm 13705 def betaConv 1158 ref 14 ref 1054 ref 13700 ref 56 ref 13701 remove 1161 ref appTerm 13706 def 1057 ref appTerm appTerm 1466 ref 205 remove 1468 remove appTerm 1057 ref appTerm 13707 def appTerm 13708 def appTerm appTerm absTerm appTerm absTerm 13709 def 11657 ref appTerm 13710 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 212 remove 1478 ref appTerm appTerm 1480 ref 13708 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13711 def 213 ref appTerm 13712 def betaConv 1442 ref 11 ref 1477 ref 19 ref 1158 ref 14 ref 1054 ref 23 ref 211 remove 1447 ref appTerm 1478 ref appTerm appTerm 1480 ref 1483 remove 13707 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13713 def 131 ref appTerm 13714 def betaConv 8276 remove 135 ref appTerm 13715 def betaConv 8279 remove nil 8280 remove 347 ref 13715 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 8281 remove 1507 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13713 ref appTerm nil cons cons 347 ref 13714 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13713 remove nil cons cons 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 13711 ref appTerm nil cons cons 347 ref 13712 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 13711 remove nil cons cons 415 ref 213 ref nil cons cons nil cons 13716 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13709 ref appTerm nil cons cons 347 ref 13710 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13709 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13704 ref appTerm nil cons cons 347 ref 13705 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13704 remove nil cons cons 12660 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13700 remove 56 ref 13702 ref 10700 ref appTerm 13717 def appTerm 13718 def 11710 ref 13703 remove 10700 ref appTerm 13719 def appTerm appTerm appTerm nil cons cons 347 ref 56 ref 13699 ref appTerm 13720 def 13668 remove appTerm 13721 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 630 remove cons nil cons nil cons cons 82 ref subst 214 remove assume eqMp appThm 13718 ref refl 13722 def 13441 ref 13719 ref refl appThm nil 77 ref 13719 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm appThm nil 77 ref 13718 remove 13719 remove appTerm nil cons cons nil cons nil cons cons 833 ref subst trans appThm 13721 remove refl appThm sym 96 ref 13722 remove 8301 remove 11746 ref appThm 10700 ref refl appThm 13687 remove trans appThm nil 77 ref 13717 ref nil cons 13723 def cons nil cons nil cons cons 13724 def 1539 ref subst trans appThm 13720 ref refl 1017 ref 12619 ref refl 12594 ref 3249 ref 10406 ref 12620 ref refl 1941 ref appThm appThm appThm 13725 def appThm appThm appThm 12682 ref refl 13652 ref refl 13726 def 13725 remove appThm appThm appThm appThm appThm sym nil 346 ref 13723 ref cons 347 ref 13720 ref 24 ref 12619 remove 10567 ref 1062 ref 3061 ref 12620 remove 1946 ref appTerm appTerm appTerm 13727 def appTerm 13728 def appTerm appTerm 12682 ref 13652 ref 13727 remove appTerm 13729 def appTerm appTerm 13730 def appTerm 13731 def nil cons 13732 def cons nil cons 13733 def cons nil cons cons 13734 def 362 ref subst 13734 remove 412 ref subst 11694 remove 6463 remove 1440 remove trans appThm 13437 remove trans sym 81 ref eqMp nil 346 ref 11671 remove 153 remove appTerm nil cons cons 347 ref 108 ref "cqi" 1 ref var 13735 def 195 ref 11665 remove appTerm 13735 ref varTerm 13736 def appTerm 13737 def absTerm 13738 def appTerm 13739 def nil cons 13740 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 11795 remove 5469 remove cons nil cons cons 1560 remove subst eqMp nil 346 ref 13740 remove cons 13733 ref cons nil cons cons 403 ref subst nil 5 ref 13735 ref 23 ref 13738 ref 13736 ref appTerm 13741 def appTerm 13731 ref appTerm 13742 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 13735 remove nil 77 ref 13742 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 13741 ref nil cons 13743 def cons 13733 ref cons nil cons cons 13744 def 362 ref subst 13744 remove 412 ref subst 13741 ref betaConv 13741 remove assume eqMp nil 346 ref 13737 ref nil cons 13745 def cons 13733 ref cons nil cons cons 13746 def 403 ref subst proveHyp 13746 ref 362 ref subst 13746 remove 412 ref subst 1054 ref 23 ref 203 remove appTerm 13747 def 56 ref 8898 remove 11657 ref appTerm 13748 def 1057 ref appTerm appTerm 11710 ref 195 remove 11711 remove appTerm 13749 def 1057 remove appTerm appTerm appTerm appTerm absTerm 13750 def 13736 ref appTerm 13751 def betaConv 1158 ref 14 ref 1054 ref 13747 ref 8985 remove 1466 remove 8986 remove appTerm 13752 def appTerm appTerm absTerm appTerm absTerm 13753 def 11657 ref appTerm 13754 def betaConv 1477 ref 19 ref 1158 ref 14 ref 1054 remove 23 ref 201 remove 1478 ref appTerm appTerm 1480 remove 13752 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13755 def 202 ref appTerm 13756 def betaConv 8993 remove 131 ref appTerm 13757 def betaConv 8999 remove nil 9000 remove 347 ref 13757 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 9001 remove 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 13755 ref appTerm nil cons cons 347 ref 13756 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 13755 remove nil cons cons 6609 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13753 ref appTerm nil cons cons 347 ref 13754 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13753 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13750 ref appTerm nil cons cons 347 ref 13751 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13750 remove nil cons cons 404 ref 13736 ref nil cons cons nil cons 13758 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13747 remove 56 ref 13748 ref 13736 ref appTerm 13759 def appTerm 13760 def 11710 ref 13749 remove 13736 ref appTerm 13761 def appTerm appTerm appTerm nil cons cons 13733 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 622 remove cons nil cons nil cons cons 82 ref subst 6468 remove eqMp appThm 13760 ref refl 13762 def 13441 ref 13761 ref refl appThm nil 77 ref 13761 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm appThm nil 77 ref 13760 remove 13761 remove appTerm nil cons cons nil cons nil cons cons 833 ref subst trans appThm 13731 ref refl 13763 def appThm sym 96 ref 13762 remove 9008 remove 11746 remove appThm 13736 ref refl appThm nil 77 ref 13745 ref cons nil cons nil cons cons 82 ref subst 13737 remove assume eqMp trans appThm nil 77 ref 13759 ref nil cons 13764 def cons nil cons nil cons cons 13765 def 1539 ref subst trans appThm 13763 ref appThm sym nil 346 ref 13764 ref cons 13733 ref cons nil cons cons 13766 def 362 ref subst 13766 remove 412 ref subst 7508 ref 23 ref 254 ref 24 ref 167 remove 250 ref appTerm 13767 def 11657 ref appTerm 13768 def 255 ref appTerm appTerm 13769 def 24 ref 13759 ref appTerm 13770 def 13702 remove 7512 ref appTerm 13771 def appTerm appTerm appTerm appTerm 256 ref 13736 ref appTerm 13772 def 7512 ref appTerm appTerm absTerm 13773 def 10700 ref appTerm 13774 def betaConv 1567 ref 14 ref 7508 ref 23 ref 254 ref 13769 ref 24 ref 13748 ref 1569 ref appTerm appTerm 13771 remove appTerm 13775 def appTerm appTerm appTerm 256 remove 1569 ref appTerm 7512 ref appTerm appTerm absTerm appTerm absTerm 13776 def 13736 ref appTerm 13777 def betaConv 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 254 ref 24 ref 13768 remove 1163 ref appTerm appTerm 13775 remove appTerm appTerm appTerm 11958 ref appTerm absTerm appTerm absTerm appTerm absTerm 13778 def 255 remove appTerm 13779 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 254 ref 24 ref 13767 remove 1161 ref appTerm 1163 ref appTerm appTerm 13780 def 24 ref 8899 ref 1569 ref appTerm appTerm 13781 def 13706 remove 7512 ref appTerm appTerm appTerm appTerm appTerm 11958 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13782 def 11657 ref appTerm 13783 def betaConv 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 252 remove 5397 ref appTerm appTerm 13780 ref 13781 remove 7513 remove appTerm appTerm appTerm appTerm 11958 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13784 def 213 remove appTerm 13785 def betaConv 1477 ref 11 ref 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 251 remove 1478 remove appTerm 5397 ref appTerm appTerm 13780 remove 7514 remove appTerm appTerm appTerm 11958 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13786 def 202 ref appTerm 13787 def betaConv 11970 remove 250 ref appTerm 13788 def betaConv 11973 remove nil 11974 remove 347 ref 13788 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 11975 remove 415 ref 250 remove nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 13786 ref appTerm nil cons cons 347 ref 13787 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 13786 remove nil cons cons 6609 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 13784 ref appTerm nil cons cons 347 ref 13785 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 13784 remove nil cons cons 13716 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13782 ref appTerm nil cons cons 347 ref 13783 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13782 remove nil cons cons 11727 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13778 ref appTerm nil cons cons 347 ref 13779 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13778 remove nil cons cons 741 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13776 ref appTerm nil cons cons 347 ref 13777 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13776 remove nil cons cons 13758 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13773 ref appTerm nil cons cons 347 ref 13774 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13773 remove nil cons cons 12660 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 254 remove 13769 remove 13770 remove 13717 ref appTerm appTerm appTerm appTerm 13772 ref 10700 ref appTerm 13789 def appTerm nil cons cons 13733 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1017 ref nil 77 ref 649 remove cons nil cons nil cons cons 82 ref subst 253 remove assume eqMp appThm 1017 ref nil 7490 remove 1486 ref 11697 remove cons 6887 remove cons cons nil cons cons 7501 remove subst 13441 ref 7504 remove appThm 1030 ref trans trans appThm 1017 ref 13765 remove 82 ref subst 13759 ref assume eqMp 13790 def appThm 13724 remove 82 ref subst 13717 remove assume eqMp appThm 1030 ref trans appThm 1030 ref trans appThm 1030 ref trans appThm 13789 ref refl appThm nil 77 ref 13789 ref nil cons 13791 def cons nil cons nil cons cons 13792 def 833 ref subst trans appThm 13763 ref appThm sym nil 346 ref 13791 ref cons 13733 ref cons nil cons cons 13793 def 362 ref subst 13793 remove 412 ref subst 20 ref 23 ref 13789 ref appTerm 13794 def 56 ref 13038 remove appTerm 711 remove 26 ref 13736 ref appTerm 13795 def 29 ref appTerm 13796 def appTerm 13797 def appTerm appTerm absTerm 13798 def 12600 ref appTerm 13799 def betaConv 718 ref 19 ref 20 ref 23 ref 13772 remove 719 ref appTerm appTerm 720 ref 13797 remove appTerm appTerm absTerm appTerm absTerm 13800 def 10700 remove appTerm 13801 def betaConv 723 remove 13736 ref appTerm 13802 def betaConv 742 remove nil 743 remove 347 ref 13802 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 744 remove 13758 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13800 ref appTerm nil cons cons 347 ref 13801 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13800 remove nil cons cons 12660 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13798 ref appTerm nil cons cons 347 ref 13799 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13798 remove nil cons cons 700 ref 12600 ref nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13794 remove 13720 remove 707 ref 28 ref 12600 ref appTerm appTerm 709 ref 12600 ref appTerm appTerm 13795 ref 12600 ref appTerm appTerm 13803 def appTerm 13804 def appTerm nil cons cons 13733 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 13792 remove 82 ref subst 13789 remove assume eqMp appThm 13804 ref refl appThm nil 77 ref 13804 ref nil cons 13805 def cons nil cons nil cons cons 833 ref subst trans appThm 13763 remove appThm sym nil 346 ref 13805 ref cons 13733 remove cons nil cons cons 13806 def 362 ref subst 13806 remove 412 ref subst 56 ref "_39215" 2 ref var 13807 def 56 ref 13807 remove varTerm appTerm 13730 ref appTerm absTerm 13808 def 13699 remove appTerm 13809 def appTerm refl 13808 ref 13803 ref appTerm betaConv appThm 383 ref 13809 remove betaConv appThm 56 ref 13803 remove appTerm 13810 def 13730 remove appTerm 13811 def refl appThm trans 13808 remove refl 13804 remove assume appThm eqMp sym nil 12713 ref 347 ref 13811 remove nil cons 13812 def cons nil cons 13813 def cons nil cons cons 13814 def 362 ref subst 13814 remove 412 ref subst 12722 ref nil 12725 ref 13813 ref cons nil cons cons 403 ref subst proveHyp 12726 ref 13810 ref refl 1017 ref 753 ref 12720 ref appThm 12593 ref appThm 13728 ref refl appThm nil 794 ref 13728 ref nil cons cons 12602 ref cons nil cons cons 6045 ref subst trans appThm 1017 ref 839 ref 12720 remove appThm 3162 ref trans appThm 13815 def 13729 ref refl appThm nil 77 ref 13729 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm appThm appThm sym nil 90 ref 12727 ref 12730 ref 13810 remove 24 ref 13728 remove appTerm 13729 remove appTerm appTerm 13816 def appTerm 13817 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 12727 ref nil 77 ref 13817 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12734 ref 347 ref 13816 ref nil cons 13818 def cons nil cons 13819 def cons nil cons cons 13820 def 362 ref subst 13820 remove 412 ref subst 12738 ref nil 12742 ref 13819 remove cons nil cons cons 13821 def 403 ref subst proveHyp 13821 ref 362 ref subst 13821 remove 412 ref subst 56 ref "_39217" 16 ref var 13822 def 56 ref 707 ref 28 remove 1062 ref 3061 ref 13822 remove varTerm 13823 def appTerm appTerm 13824 def appTerm appTerm 709 ref 13824 ref appTerm appTerm 13795 ref 13824 remove appTerm appTerm appTerm 24 ref 10567 ref 1062 ref 3061 ref 4042 ref 13823 remove appTerm 1946 ref appTerm appTerm appTerm 13825 def appTerm appTerm 13652 ref 13825 remove appTerm appTerm appTerm absTerm 13826 def 12158 ref appTerm 13827 def appTerm refl 13826 ref 12739 ref appTerm betaConv appThm 383 ref 13827 remove betaConv appThm 56 ref 12781 remove 709 ref 12749 ref appTerm 13828 def appTerm 13829 def 13795 ref 12749 ref appTerm 13830 def appTerm appTerm 13831 def 24 ref 10567 ref 1062 ref 3061 ref 12752 ref 1946 ref appTerm appTerm appTerm 13832 def appTerm appTerm 13652 ref 13832 remove appTerm appTerm appTerm refl appThm trans 13826 remove refl 12754 ref appThm eqMp sym 13831 remove refl 1017 ref 12594 ref 3249 ref 10406 ref 12752 remove refl 122 ref 1946 ref appTerm 135 ref appTerm assume sym 122 ref 135 ref appTerm 1946 ref appTerm assume sym deductAntisym 1941 remove eqMp appThm 12758 remove trans appThm appThm 13833 def appThm appThm 13726 ref 13833 remove appThm appThm appThm sym 12810 ref 56 ref "_39419" 2 ref var 13834 def 56 ref 707 ref 13834 remove varTerm appTerm 13828 ref appTerm 13830 ref appTerm appTerm 24 ref 12762 ref appTerm 13835 def 13652 ref 12761 ref appTerm 13836 def appTerm 13837 def appTerm absTerm 13838 def 12780 ref appTerm 13839 def appTerm refl 13838 ref 664 ref appTerm betaConv appThm 383 ref 13839 remove betaConv appThm 56 ref 7656 remove 13828 ref appTerm 13840 def 13830 ref appTerm appTerm 13837 ref appTerm refl appThm trans 13838 remove refl 12814 ref appThm eqMp sym 383 ref nil 794 ref 13830 remove nil cons cons 796 ref 13828 ref nil cons cons nil cons 13841 def cons nil cons cons 6045 ref subst 13795 ref refl 13842 def 12815 ref appThm trans appThm 13837 ref refl 13843 def appThm sym 12817 remove 13436 remove trans sym 81 ref eqMp 12825 remove proveHyp 12826 remove eqMp nil 12827 remove 347 ref 56 ref 13795 ref 12828 ref appTerm 13844 def appTerm 13845 def 13837 ref appTerm 13846 def nil cons 13847 def cons nil cons 13848 def cons nil cons cons 403 ref subst nil 5 ref 12818 ref 12835 remove 13846 ref appTerm 13849 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 12818 remove nil 77 ref 13849 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12838 remove 13848 ref cons nil cons cons 13850 def 362 ref subst 13850 remove 412 ref subst 12840 remove nil 12842 remove 13848 ref cons nil cons cons 13851 def 403 ref subst proveHyp 13851 ref 362 ref subst 13851 remove 412 ref subst 12844 remove 13442 remove eqMp 12852 remove proveHyp 12853 remove eqMp nil 346 ref 108 ref "cpis" 1 ref var 13852 def 12846 remove 13852 ref varTerm 13853 def appTerm 13854 def absTerm 13855 def appTerm 13856 def nil cons cons 13848 ref cons nil cons cons 403 ref subst nil 5 ref 13852 ref 23 ref 13855 ref 13853 ref appTerm 13857 def appTerm 13846 ref appTerm 13858 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 13852 remove nil 77 ref 13858 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 13857 ref nil cons 13859 def cons 13848 ref cons nil cons cons 13860 def 362 ref subst 13860 remove 412 ref subst 13857 ref betaConv 13857 remove assume eqMp nil 346 ref 13854 ref nil cons 13861 def cons 13848 ref cons nil cons cons 13862 def 403 ref subst proveHyp 13862 ref 362 ref subst 13862 remove 412 ref subst 12863 remove 13853 ref appTerm 13863 def betaConv 12871 remove nil 12872 remove 347 ref 13863 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 12873 remove 404 ref 13853 ref nil cons cons nil cons 13864 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 12860 remove 56 ref 12861 remove 13853 ref appTerm 13865 def appTerm 13866 def 11710 remove 12862 remove 13853 ref appTerm appTerm appTerm appTerm nil cons cons 13848 ref cons nil cons cons 403 ref subst proveHyp 96 ref 12877 remove 13866 remove refl 13441 remove 12878 remove 13853 ref refl appThm nil 77 ref 13861 ref cons nil cons nil cons cons 82 ref subst 13854 ref assume eqMp 13867 def trans appThm 1030 ref trans appThm nil 77 ref 13865 ref nil cons 13868 def cons nil cons nil cons cons 13869 def 1539 ref subst trans appThm 13869 ref 833 ref subst trans appThm 13846 ref refl 13870 def appThm sym nil 346 ref 13868 ref cons 13848 ref cons nil cons cons 13871 def 362 ref subst 13871 remove 412 ref subst 12900 remove nil 12903 remove 13848 ref cons nil cons cons 403 ref subst proveHyp 12905 remove 13870 ref appThm sym nil 12906 remove 13848 ref cons nil cons cons 13872 def 362 ref subst 13872 remove 412 ref subst 12910 remove 428 ref subst 7508 ref 23 ref 24 ref 12901 ref appTerm 13873 def 12911 ref 24 ref 13865 ref appTerm 13874 def 13748 remove 7512 ref appTerm 13875 def appTerm appTerm appTerm appTerm 4663 remove 12820 ref appTerm 13876 def 13853 ref appTerm 13877 def 7512 ref appTerm appTerm absTerm 13878 def 13736 ref appTerm 13879 def betaConv 1567 ref 14 ref 7508 ref 23 ref 13873 ref 12911 ref 12918 remove 13875 remove appTerm 13880 def appTerm appTerm appTerm 13876 ref 1569 ref appTerm 7512 ref appTerm appTerm absTerm appTerm absTerm 13881 def 13853 ref appTerm 13882 def betaConv 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 13873 ref 12922 remove 13880 remove appTerm appTerm appTerm 9023 ref appTerm absTerm appTerm absTerm appTerm absTerm 13883 def 12820 ref appTerm 13884 def betaConv 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 13873 ref 12925 remove 12926 remove 8899 remove 7512 remove appTerm appTerm appTerm appTerm appTerm 9023 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13885 def 11657 remove appTerm 13886 def betaConv 5396 ref 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 ref 23 ref 24 ref 12889 remove 5397 ref appTerm appTerm 12929 remove appTerm appTerm 9023 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13887 def 202 remove appTerm 13888 def betaConv 1477 remove 11 ref 5396 remove 19 ref 1158 ref 14 ref 1160 ref 14 ref 1567 ref 14 ref 7508 remove 23 ref 24 ref 12896 remove 5397 remove appTerm appTerm 12932 remove appTerm appTerm 9023 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13889 def 188 remove appTerm 13890 def betaConv 9045 remove 139 remove appTerm 13891 def betaConv 9047 remove nil 9049 remove 347 ref 13891 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 9093 remove 6814 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 13889 ref appTerm nil cons cons 347 ref 13890 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 13889 remove nil cons cons 6607 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 11 ref 13887 ref appTerm nil cons cons 347 ref 13888 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 13887 remove nil cons cons 6609 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13885 ref appTerm nil cons cons 347 ref 13886 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13885 remove nil cons cons 11727 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13883 ref appTerm nil cons cons 347 ref 13884 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13883 remove nil cons cons 12936 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13881 ref appTerm nil cons cons 347 ref 13882 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13881 remove nil cons cons 13864 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13878 ref appTerm nil cons cons 347 ref 13879 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13878 remove nil cons cons 13758 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 13873 remove 12911 remove 13874 remove 13759 remove appTerm appTerm appTerm appTerm 13877 ref 13736 ref appTerm 13892 def appTerm nil cons cons 13848 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1017 ref nil 77 ref 12909 remove cons nil cons nil cons cons 82 ref subst 12901 remove assume eqMp appThm 12939 remove 1017 ref 13869 remove 82 ref subst 13865 remove assume eqMp appThm 13790 remove appThm 1030 ref trans appThm 1030 ref trans appThm 1030 ref trans appThm 13892 ref refl appThm nil 77 ref 13892 ref nil cons 13893 def cons nil cons nil cons cons 13894 def 833 ref subst trans appThm 13870 ref appThm sym nil 346 ref 13893 ref cons 13848 ref cons nil cons cons 13895 def 362 ref subst 13895 remove 412 ref subst 20 ref 23 ref 13892 ref appTerm 13896 def 56 ref 13796 remove appTerm 24 ref 12945 remove appTerm 13897 def 26 ref 13853 ref appTerm 13898 def 29 ref appTerm appTerm 13899 def appTerm appTerm absTerm 13900 def 12828 ref appTerm 13901 def betaConv 718 ref 19 ref 20 ref 23 ref 13877 remove 719 ref appTerm appTerm 720 ref 13899 remove appTerm appTerm absTerm appTerm absTerm 13902 def 13736 remove appTerm 13903 def betaConv 677 ref 14 ref 718 ref 19 ref 20 ref 23 ref 13876 remove 678 ref appTerm 719 ref appTerm appTerm 720 ref 13897 remove 680 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13904 def 13853 ref appTerm 13905 def betaConv 6671 remove 12820 remove appTerm 13906 def betaConv 6674 remove nil 6675 remove 347 ref 13906 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 6676 remove 12936 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13904 ref appTerm nil cons cons 347 ref 13905 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13904 remove nil cons cons 13864 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13902 ref appTerm nil cons cons 347 ref 13903 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13902 remove nil cons cons 13758 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13900 ref appTerm nil cons cons 347 ref 13901 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13900 remove nil cons cons 12956 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13896 remove 13845 remove 24 ref 12957 ref appTerm 13898 ref 12828 ref appTerm 13907 def appTerm 13908 def appTerm 13909 def appTerm nil cons cons 13848 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 13894 remove 82 ref subst 13892 remove assume eqMp appThm 13909 ref refl appThm nil 77 ref 13909 ref nil cons 13910 def cons nil cons nil cons cons 833 ref subst trans appThm 13870 remove appThm sym nil 346 ref 13910 ref cons 13848 remove cons nil cons cons 13911 def 362 ref subst 13911 remove 412 ref subst 56 ref "_39421" 2 ref var 13912 def 56 ref 13912 remove varTerm appTerm 13837 ref appTerm absTerm 13913 def 13844 remove appTerm 13914 def appTerm refl 13913 ref 13908 ref appTerm betaConv appThm 383 ref 13914 remove betaConv appThm 56 ref 13908 remove appTerm 13837 ref appTerm 13915 def refl 13916 def appThm trans 13913 remove refl 13909 remove assume appThm eqMp sym 12980 remove nil 12982 remove 347 ref 13915 remove nil cons 13917 def cons nil cons 13918 def cons nil cons cons 403 ref subst proveHyp 12987 remove 13916 ref appThm sym nil 12988 remove 13918 ref cons nil cons cons 13919 def 362 ref subst 13919 remove 412 ref subst 12998 remove nil 13000 remove 13918 ref cons nil cons cons 403 ref subst proveHyp 13005 remove 13916 remove appThm sym nil 13006 remove 13918 remove cons nil cons cons 13920 def 362 ref subst 13920 remove 412 ref subst 56 ref "_39423" 2 ref var 13921 def 56 ref 24 ref 13921 remove varTerm appTerm 13907 ref appTerm appTerm 13837 ref appTerm absTerm 13922 def 12957 remove appTerm 13923 def appTerm refl 13922 ref 12762 remove appTerm betaConv appThm 383 ref 13923 remove betaConv appThm 56 ref 13835 ref 13907 ref appTerm appTerm 13837 ref appTerm 13924 def refl 13925 def appThm trans 13922 remove refl 13013 remove appThm eqMp sym 1567 ref 23 ref 269 ref 13645 ref 13014 remove appTerm appTerm appTerm 270 ref 13631 ref appTerm 13926 def 1569 ref appTerm appTerm absTerm 13927 def 13853 ref appTerm 13928 def betaConv 13018 remove 13631 ref appTerm 13929 def betaConv 13028 remove nil 13029 remove 347 ref 13929 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 13030 remove 13650 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13927 ref appTerm nil cons cons 347 ref 13928 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13927 remove nil cons cons 13864 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 269 ref 13645 remove 13854 remove appTerm appTerm appTerm 13926 ref 13853 ref appTerm 13930 def appTerm nil cons cons 347 ref 13924 remove nil cons 13931 def cons nil cons 13932 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 6128 remove 13651 remove 13867 remove appThm 1030 ref trans appThm 1030 ref trans appThm 13930 ref refl appThm nil 77 ref 13930 ref nil cons 13933 def cons nil cons nil cons cons 13934 def 833 ref subst trans appThm 13925 ref appThm sym nil 346 ref 13933 ref cons 13932 ref cons nil cons cons 13935 def 362 ref subst 13935 remove 412 ref subst 20 ref 23 ref 13930 ref appTerm 13936 def 56 ref 13898 ref 1791 ref appTerm appTerm 13652 ref 29 ref appTerm 13937 def appTerm appTerm absTerm 13938 def 12761 ref appTerm 13939 def betaConv 677 ref 19 ref 20 ref 23 ref 13926 remove 678 ref appTerm appTerm 1792 ref 13937 remove appTerm appTerm absTerm appTerm absTerm 13940 def 13853 remove appTerm 13941 def betaConv 1803 ref 13631 remove appTerm 13942 def betaConv 1805 ref nil 1807 ref 347 ref 13942 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 13650 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13940 ref appTerm nil cons cons 347 ref 13941 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13940 remove nil cons cons 13864 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13938 ref appTerm nil cons cons 347 ref 13939 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13938 remove nil cons cons 12997 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13936 remove 56 ref 13898 ref 12999 ref appTerm appTerm 13836 ref appTerm appTerm nil cons cons 13932 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 13934 remove 82 ref subst 13930 remove assume eqMp appThm 383 ref 13898 remove refl 13002 remove appThm appThm 13836 ref refl appThm appThm nil 77 ref 56 ref 13907 ref appTerm 13836 ref appTerm 13943 def nil cons 13944 def cons nil cons nil cons cons 833 ref subst trans appThm 13925 remove appThm sym nil 346 ref 13944 ref cons 13932 remove cons nil cons cons 13945 def 362 ref subst 13945 remove 412 ref subst 56 ref "_39425" 2 ref var 13946 def 56 ref 13835 remove 13946 remove varTerm appTerm appTerm 13837 ref appTerm absTerm 13947 def 13907 remove appTerm 13948 def appTerm refl 13947 ref 13836 remove appTerm betaConv appThm 383 ref 13948 remove betaConv appThm 56 ref 13837 ref appTerm 13837 remove appTerm refl appThm trans 13947 remove refl 13943 remove assume appThm eqMp sym 13843 remove eqMp eqMp nil 379 ref 13944 remove cons 381 ref 13931 remove cons nil cons 13949 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13933 remove cons 13949 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13051 remove 381 ref 13917 remove cons nil cons 13950 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 13053 remove 13950 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 13910 remove cons 381 ref 13847 remove cons nil cons 13951 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13893 remove cons 13951 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 13055 remove 13951 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13868 remove cons 13951 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13861 remove cons 13951 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 13859 remove cons 13951 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 13855 ref 684 ref appTerm appTerm 13846 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 13856 remove appTerm 13846 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13855 remove nil cons cons 13951 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 13056 remove 13951 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13057 remove 13951 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 13058 remove 13846 ref appTerm absTerm appTerm nil cons cons 347 ref 13059 remove 13846 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 13060 remove 13951 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp proveHyp eqMp eqMp eqMp nil 13062 ref 381 ref 13818 remove cons nil cons 13952 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13064 ref 13952 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13065 ref 13816 ref appTerm absTerm appTerm nil cons cons 347 ref 13066 ref 13816 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 13067 ref 13952 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 13068 ref 381 ref 13812 ref cons nil cons 13953 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 12692 ref 13813 ref cons nil cons cons 13954 def 362 ref subst 13954 remove 412 ref subst nil 346 ref 12440 remove cons 13813 remove cons nil cons cons 403 ref subst 96 ref nil 1486 ref 12409 ref cons 11435 ref cons nil cons cons 3975 ref subst 1017 ref 11444 ref refl 3557 remove 12699 ref appThm 2722 remove trans appThm appThm 11472 remove 1432 ref 1158 ref 96 ref 1422 remove 12699 ref appThm appThm 12016 remove appThm absThm appThm appThm appThm trans appThm 383 ref 753 ref 2746 remove 12702 ref appThm appThm 8803 remove 12702 ref appThm appThm 13842 remove 12702 remove appThm appThm appThm 1017 ref 753 remove 12700 ref appThm 12593 remove appThm 12594 remove 3249 ref 10406 ref 12704 remove 1939 remove 2788 ref appThm appThm appThm appThm 13955 def appThm appThm nil 794 ref 10567 remove 1062 ref 3061 ref 11887 remove 1946 ref appTerm appTerm appTerm 13956 def appTerm nil cons cons 12602 remove cons nil cons cons 817 ref subst trans appThm 1017 ref 839 ref 12700 remove appThm 3475 remove trans appThm 13957 def 13726 remove 13955 remove appThm appThm nil 77 ref 13652 remove 13956 remove appTerm nil cons cons nil cons nil cons cons 3159 ref subst trans appThm 12708 remove 5156 ref subst trans appThm nil 77 ref 12002 remove 709 remove 2675 ref appTerm 13958 def appTerm 13959 def 13795 remove 2675 ref appTerm 13960 def appTerm 13961 def nil cons cons nil cons nil cons cons 826 ref subst trans appThm sym nil 346 ref 24 ref 11444 ref 2676 remove appTerm 13962 def appTerm 12020 remove appTerm nil cons 13963 def cons 347 ref 38 ref 13961 remove appTerm nil cons 13964 def cons nil cons cons nil cons cons 13965 def 362 ref subst 13965 remove 412 ref subst nil 379 ref 13962 remove nil cons cons 12024 remove cons nil cons cons 428 ref subst 12026 remove 839 ref 12027 remove nil 4237 remove nil cons nil cons cons 792 remove subst 13966 def appThm 13960 ref refl appThm nil 794 ref 13960 remove nil cons cons 797 remove cons nil cons cons 817 ref subst trans appThm 3162 ref trans sym 81 ref eqMp proveHyp proveHyp eqMp nil 379 ref 13963 remove cons 381 ref 13964 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 12709 ref 13953 remove cons nil cons cons 395 ref subst deductAntisym eqMp 5223 ref 12617 remove appTerm 13967 def betaConv 5226 ref nil 5227 ref 347 ref 13967 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 5228 ref 789 ref 12690 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 13968 def nil 12709 ref 381 ref 12712 remove cons 13969 def 2464 ref 13812 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 379 ref 13805 remove cons 381 ref 13732 remove cons nil cons 13970 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13791 remove cons 13970 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13764 remove cons 13970 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 13745 remove cons 13970 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 13743 remove cons 13970 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 13738 ref 684 ref appTerm appTerm 13731 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 13739 remove appTerm 13731 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13738 remove nil cons cons 13970 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 13723 remove cons 13970 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 13069 remove 381 ref 13670 remove cons nil cons 13971 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13676 remove cons 13971 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 13674 remove cons 13971 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 13665 ref 684 ref appTerm appTerm 13669 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 13666 remove appTerm 13669 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13665 remove nil cons cons 13971 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 379 ref 13657 remove cons 381 ref 13637 remove cons nil cons 13972 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13643 remove cons 13972 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 13641 remove cons 13972 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 13633 ref 684 ref appTerm appTerm 13636 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 13634 remove appTerm 13636 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13633 remove nil cons cons 13972 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp nil 12037 remove 381 ref 13619 remove cons nil cons 13973 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 12044 remove 13973 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 12045 remove 13973 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 12046 remove 13617 ref appTerm absTerm appTerm nil cons cons 347 ref 12047 remove 13617 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 12048 remove 13973 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 12049 remove 13973 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 13612 remove cons 381 ref 13582 remove cons nil cons 13974 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13598 remove cons 13974 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13588 remove cons 13974 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 13586 remove cons 13974 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 13580 ref 684 ref appTerm appTerm 13575 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 13581 remove appTerm 13575 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13580 remove nil cons cons 13974 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp nil 13073 remove 381 ref 13561 remove cons nil cons 13975 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 13075 remove 13975 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 11751 remove cons 13975 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 13565 remove cons 13975 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 13558 ref 684 ref appTerm appTerm 13556 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 13559 remove appTerm 13556 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13558 remove nil cons cons 13975 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp proveHyp proveHyp eqMp nil 13076 ref 381 ref 13543 ref cons nil cons 13976 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13078 ref 13976 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13079 ref 13541 ref appTerm absTerm appTerm nil cons cons 13546 remove cons nil cons cons 403 ref subst proveHyp 93 ref 13080 ref 13976 remove cons nil cons cons 893 ref subst eqMp eqMp nil 346 ref 13081 ref 13545 remove appTerm nil cons cons 347 ref 13082 ref 13541 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 13543 remove cons 13083 ref cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp nil 379 ref 13537 remove cons 381 ref 13422 ref cons nil cons 13977 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13521 remove cons 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 13085 remove 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 13497 remove cons 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 13086 remove 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 13486 remove cons 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 13452 remove cons 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 13450 remove cons 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 13446 ref 684 ref appTerm appTerm 13421 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 13447 remove appTerm 13421 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13446 remove nil cons cons 13977 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 13087 remove 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13088 remove 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 13089 remove 13421 ref appTerm absTerm appTerm nil cons cons 347 ref 13090 remove 13421 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 13091 remove 13977 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 12050 remove 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 12051 remove 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 12052 remove 13421 ref appTerm absTerm appTerm nil cons cons 347 ref 12053 remove 13421 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 12054 remove 13977 ref cons nil cons cons 893 ref subst eqMp nil 12055 remove 13423 remove cons nil cons cons 13978 def 362 ref subst 13978 remove 412 ref subst 415 ref 99 ref 1158 ref 24 ref 1162 ref 13350 ref appTerm appTerm 1162 remove 10980 ref appTerm appTerm absTerm appTerm absTerm 13979 def 11222 remove appTerm betaConv sym 1158 ref 13352 remove 13330 remove 10980 ref appTerm appTerm absTerm 13980 def 134 ref appTerm betaConv sym 1017 ref nil 77 ref 11310 remove 13350 ref appTerm 13981 def nil cons cons nil cons nil cons cons 82 ref subst 13482 remove "_38349" 16 ref var 13982 def 11309 remove 13982 remove varTerm appTerm 13350 ref appTerm absTerm 134 ref appTerm betaConv appThm 13483 remove 13981 remove refl appThm trans 13484 remove 12062 ref appThm eqMp 13485 remove eqMp eqMp appThm 11384 remove appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 13980 remove nil cons cons 1353 ref cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 13979 ref nil cons cons 13472 ref cons nil cons cons 1157 ref subst proveHyp nil 346 ref 101 remove 13979 remove appTerm nil cons cons 347 ref 1323 ref 13350 ref appTerm 10980 ref appTerm 13983 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1319 remove 11238 remove cons 1327 remove 13371 remove cons nil cons cons nil cons cons 10158 remove subst eqMp 56 ref "_38517" 1 ref var 13984 def 13373 ref 26 ref 13984 remove varTerm appTerm 2198 ref appTerm appTerm absTerm 13985 def 13350 remove appTerm 13986 def appTerm refl 13985 ref 10980 ref appTerm betaConv appThm 383 ref 13986 remove betaConv appThm 13373 ref 26 ref 10980 ref appTerm 13987 def 2198 ref appTerm 13988 def appTerm 13989 def refl 13990 def appThm trans 13985 remove refl 13983 remove assume appThm eqMp sym 20 ref 23 ref 10981 ref appTerm 13991 def 56 ref 13987 remove 29 ref appTerm appTerm 13110 ref appTerm appTerm absTerm 13992 def 2198 ref appTerm 13993 def betaConv 677 ref 19 ref 20 ref 23 ref 10979 remove 678 ref appTerm appTerm 681 remove 13110 remove appTerm appTerm absTerm appTerm absTerm 13994 def 10980 remove appTerm 13995 def betaConv 690 remove 10834 remove appTerm 13996 def betaConv 693 remove nil 694 remove 347 ref 13996 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 695 remove 10956 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 13994 ref appTerm nil cons cons 347 ref 13995 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 13994 remove nil cons cons 11245 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 13992 ref appTerm nil cons cons 347 ref 13993 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 13992 remove nil cons cons 2598 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 13991 remove 56 ref 13988 ref appTerm 13122 ref appTerm 13997 def appTerm nil cons cons 347 ref 13989 remove nil cons 13998 def cons nil cons 13999 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref nil 77 ref 10988 ref cons nil cons nil cons cons 82 ref subst 10981 remove assume eqMp appThm 13997 ref refl appThm nil 77 ref 13997 ref nil cons 14000 def cons nil cons nil cons cons 833 ref subst trans appThm 13990 remove appThm sym nil 346 ref 14000 ref cons 13999 remove cons nil cons cons 14001 def 362 ref subst 14001 remove 412 ref subst 56 ref "_38679" 2 ref var 14002 def 13373 ref 14002 remove varTerm appTerm absTerm 14003 def 13988 remove appTerm 14004 def appTerm refl 14003 remove 13122 ref appTerm betaConv appThm 383 ref 14004 remove betaConv appThm 13373 remove 13122 remove appTerm 14005 def refl appThm trans 13542 remove 13997 remove assume appThm eqMp sym 12411 ref nil 12419 ref 347 ref 14005 ref nil cons 14006 def cons nil cons 14007 def cons nil cons cons 403 ref subst proveHyp 12425 ref nil 12426 ref 347 ref 12427 ref 14005 ref appTerm 14008 def nil cons cons nil cons 14009 def cons nil cons cons 412 ref subst proveHyp nil 90 ref 11415 ref 12431 ref 14005 ref appTerm 14010 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 11415 ref nil 77 ref 14010 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12434 ref 14007 ref cons nil cons cons 14011 def 362 ref subst 14011 remove 412 ref subst 12436 ref nil 12438 ref 14007 remove cons nil cons cons 14012 def 403 ref subst proveHyp 14012 ref 362 ref subst 14012 remove 412 ref subst 12442 ref 12443 ref 56 ref "_38681" 16 ref var 14013 def 56 ref 12551 remove 14013 remove varTerm 14014 def appTerm appTerm 13109 remove 14014 remove appTerm appTerm absTerm 14015 def 2198 ref appTerm 14016 def appTerm refl 14015 ref 11418 ref appTerm betaConv appThm 383 ref 14016 remove betaConv appThm 13554 ref 13145 ref appTerm 14017 def refl 14018 def appThm trans 14015 remove refl 11469 ref appThm eqMp sym 13159 remove nil 13161 remove 347 ref 14017 remove nil cons 14019 def cons nil cons 14020 def cons nil cons cons 403 ref subst proveHyp 13166 remove 14018 ref appThm sym nil 13167 remove 14020 ref cons nil cons cons 14021 def 362 ref subst 14021 remove 412 ref subst 13176 remove nil 13178 remove 14020 ref cons nil cons cons 403 ref subst proveHyp 13181 remove 14018 remove appThm sym nil 13182 remove 14020 remove cons nil cons cons 14022 def 362 ref subst 14022 remove 412 ref subst 56 ref "_38843" 2 ref var 14023 def 13554 ref 14023 remove varTerm appTerm absTerm 14024 def 13145 remove appTerm 14025 def appTerm refl 14024 ref 13177 ref appTerm betaConv appThm 383 ref 14025 remove betaConv appThm 13554 ref 13177 remove appTerm refl appThm trans 14024 remove refl 13187 remove appThm eqMp sym 56 ref "_38845" 1 ref var 14026 def 13554 ref 26 ref 14026 remove varTerm appTerm 11417 ref appTerm appTerm absTerm 14027 def 10552 remove appTerm 14028 def appTerm refl 14027 ref 10550 remove appTerm betaConv appThm 383 ref 14028 remove betaConv appThm 13554 ref 13192 remove appTerm refl appThm trans 14027 remove refl 12077 remove appThm eqMp sym 13629 remove 13197 remove appThm sym 1567 ref 23 ref 12634 ref 209 ref 10743 ref 134 ref appTerm 14029 def 1569 ref appTerm 14030 def appTerm appTerm appTerm 10707 ref 207 ref appTerm 14031 def 1569 ref appTerm appTerm absTerm 14032 def 10697 ref appTerm 14033 def betaConv 1160 ref 14 ref 1567 ref 23 ref 12634 ref 13286 remove 14030 remove appTerm appTerm appTerm 10712 ref appTerm absTerm appTerm absTerm 14034 def 207 remove appTerm 14035 def betaConv 12646 ref 134 ref appTerm 14036 def betaConv 12654 ref nil 12655 ref 347 ref 14036 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 12656 ref 1353 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14034 ref appTerm nil cons cons 347 ref 14035 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14034 remove nil cons cons 7474 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14032 ref appTerm nil cons cons 347 ref 14033 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14032 remove nil cons cons 12542 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 12634 ref 209 remove 14029 remove 10697 ref appTerm 14037 def appTerm appTerm appTerm 14031 ref 10697 ref appTerm appTerm nil cons cons 347 ref 13554 remove 13203 ref appTerm 14038 def nil cons 14039 def cons nil cons 14040 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10731 ref 7216 remove nil 77 ref 14037 ref nil cons cons nil cons nil cons cons 82 ref subst 13691 remove "_38351" 16 ref var 14041 def 10743 remove 14041 remove varTerm appTerm 10697 ref appTerm absTerm 134 ref appTerm betaConv appThm 13692 remove 14037 remove refl appThm trans 13693 remove 12062 remove appThm eqMp 13413 remove eqMp eqMp appThm 1030 ref trans appThm 1030 ref trans appThm 14031 remove betaConv 12663 remove appThm 10696 ref 10698 ref 3944 ref 2281 ref 1486 ref 10699 ref 10547 remove appTerm absTerm 14042 def absTerm 14043 def appTerm 14044 def appTerm 14045 def absTerm 10697 ref appTerm betaConv trans appThm nil 77 ref 14045 ref nil cons 14046 def cons nil cons nil cons cons 833 ref subst trans appThm 14038 remove refl appThm sym nil 346 ref 14046 ref cons 14040 remove cons nil cons cons 14047 def 362 ref subst 14047 remove 412 ref subst 56 ref "_38847" 1 ref var 14048 def 56 ref 26 ref 14048 remove varTerm appTerm 11418 ref appTerm appTerm 13203 ref appTerm absTerm 14049 def 10697 remove appTerm 14050 def appTerm refl 14049 ref 14044 ref appTerm betaConv appThm 383 ref 14050 remove betaConv appThm 56 ref 26 ref 14044 remove appTerm 11418 ref appTerm appTerm 13203 ref appTerm refl appThm trans 14049 remove refl 14045 remove assume appThm eqMp sym 383 ref nil 12580 remove 3859 ref 14043 ref nil cons 14051 def cons nil cons cons nil cons cons 4453 ref subst 3877 ref 14043 ref appTerm refl 12585 remove appThm nil 12587 remove 2328 ref 4494 ref 14051 remove cons nil cons cons cons nil cons cons 4524 ref subst 14043 remove 2283 ref appTerm betaConv 12588 ref appThm 14042 remove 12166 ref appTerm betaConv 13698 remove 13194 remove appThm nil 77 ref 13195 ref nil cons cons nil cons nil cons cons 1026 ref subst trans trans trans trans trans trans appThm 13203 ref refl appThm sym 383 ref "_38849" 2 ref var 14052 def 56 ref 13195 remove appTerm 14053 def 14052 remove varTerm appTerm absTerm 14054 def 13203 remove appTerm betaConv appThm 1017 ref 12687 remove 14054 ref 10546 ref appTerm betaConv appThm appThm 12689 remove 14054 ref 13202 ref appTerm betaConv appThm appThm appThm 13204 remove nil 6166 ref 14054 remove nil cons cons nil cons nil cons cons 6167 ref subst subst eqMp sym nil 12692 ref 347 ref 14053 ref 10546 remove appTerm 14055 def nil cons 14056 def cons nil cons cons nil cons cons 14057 def 362 ref subst 14057 remove 412 ref subst 13208 remove eqMp nil 12709 ref 381 ref 14056 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 12686 remove 14055 remove appTerm nil cons cons 347 ref 12688 remove 14053 remove 13202 remove appTerm 14058 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 12713 ref 347 ref 14058 ref nil cons 14059 def cons nil cons 14060 def cons nil cons cons 14061 def 362 ref subst 14061 remove 412 ref subst 12722 ref nil 12725 ref 14060 ref cons nil cons cons 403 ref subst proveHyp 12726 ref 14058 ref refl appThm sym nil 90 ref 12727 ref 12730 ref 14058 ref appTerm 14062 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 12727 ref nil 77 ref 14062 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12734 ref 14060 ref cons nil cons cons 14063 def 362 ref subst 14063 remove 412 ref subst 12738 ref nil 12742 ref 14060 remove cons nil cons cons 14064 def 403 ref subst proveHyp 14064 ref 362 ref subst 14064 remove 412 ref subst 56 ref "_38855" 16 ref var 14065 def 56 ref 7217 ref 1062 ref 3061 ref 14065 remove varTerm 14066 def appTerm appTerm appTerm appTerm 38 ref 7217 remove 1062 ref 3061 ref 4042 ref 14066 remove appTerm 135 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm 14067 def 12158 ref appTerm 14068 def appTerm refl 14067 ref 12739 ref appTerm betaConv appThm 383 ref 14068 remove betaConv appThm 13229 ref 38 ref 13225 remove appTerm appTerm refl appThm trans 14067 remove refl 12754 ref appThm eqMp sym 13229 ref refl 839 ref 13226 remove appThm appThm sym 13228 remove nil 13234 remove 347 ref 13229 remove 38 ref 13235 remove appTerm 14069 def appTerm 14070 def nil cons 14071 def cons nil cons 14072 def cons nil cons cons 403 ref subst proveHyp 13240 remove 14070 remove refl appThm sym nil 13241 remove 14072 remove cons nil cons cons 14073 def 362 ref subst 14073 remove 412 ref subst 56 ref "_39019" 2 ref var 14074 def 56 ref 14074 remove varTerm appTerm 14069 ref appTerm absTerm 14075 def 13223 remove appTerm 14076 def appTerm refl 14075 ref 13232 ref appTerm betaConv appThm 383 ref 14076 remove betaConv appThm 56 ref 13232 remove appTerm 14069 ref appTerm refl appThm trans 14075 remove refl 14077 def 13247 remove appThm eqMp sym 12810 ref 56 ref "_39021" 2 ref var 14078 def 56 ref 707 ref 14078 remove varTerm appTerm 13230 remove appTerm 13231 remove appTerm appTerm 14069 ref appTerm absTerm 14079 def 12780 ref appTerm 14080 def appTerm refl 14079 ref 664 ref appTerm betaConv appThm 383 ref 14080 remove betaConv appThm 56 ref 13251 remove appTerm 14069 ref appTerm refl appThm trans 14079 remove refl 12814 ref appThm eqMp sym 383 ref 13252 remove appThm 14069 ref refl appThm sym 13263 remove nil 13269 remove 347 ref 13265 remove 14069 ref appTerm 14081 def nil cons 14082 def cons nil cons 14083 def cons nil cons cons 403 ref subst proveHyp 13274 remove 14081 remove refl appThm sym nil 13275 remove 14083 remove cons nil cons cons 14084 def 362 ref subst 14084 remove 412 ref subst 56 ref "_39023" 2 ref var 14085 def 56 ref 14085 remove varTerm appTerm 14069 ref appTerm absTerm 14086 def 13264 remove appTerm 14087 def appTerm refl 14086 remove 13267 ref appTerm betaConv appThm 383 ref 14087 remove betaConv appThm 56 ref 13267 remove appTerm 14069 remove appTerm refl appThm trans 14077 remove 13281 remove appThm eqMp sym 839 ref 13290 remove nil 13292 remove 13298 remove cons nil cons cons 403 ref subst proveHyp 13295 remove 13307 remove appThm sym 13308 remove eqMp eqMp appThm eqMp eqMp nil 13309 remove 381 ref 14082 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp eqMp eqMp nil 13310 remove 381 ref 14071 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 13062 ref 381 ref 14059 remove cons nil cons 14088 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13064 ref 14088 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13065 ref 14058 ref appTerm absTerm appTerm nil cons cons 347 ref 13066 ref 14058 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 13067 ref 14088 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 13068 ref 14088 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 14046 remove cons 381 ref 14039 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 13312 remove 381 ref 14019 remove cons nil cons 14089 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 13314 remove 14089 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 13076 ref 381 ref 14006 ref cons nil cons 14090 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13078 ref 14090 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13079 ref 14005 ref appTerm absTerm appTerm nil cons cons 14009 remove cons nil cons cons 403 ref subst proveHyp 93 ref 13080 ref 14090 remove cons nil cons cons 893 ref subst eqMp eqMp nil 346 ref 13081 ref 14008 remove appTerm nil cons cons 347 ref 13082 ref 14005 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 14006 remove cons 13083 ref cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp nil 379 ref 14000 remove cons 381 ref 13998 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 12141 ref 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp nil 12141 remove 12142 remove 2464 ref 13422 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp eqMp nil 12143 remove 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13316 ref 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13317 ref 13977 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13318 ref 13421 ref appTerm absTerm appTerm nil cons cons 347 ref 13319 ref 13421 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 13320 ref 13977 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 13321 ref 13977 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 13322 ref 381 ref 13379 remove cons nil cons 14091 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13324 ref 14091 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13325 ref 13378 ref appTerm absTerm appTerm nil cons cons 347 ref 13326 ref 13378 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 13327 ref 14091 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 13328 ref 14091 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 4532 ref 13378 ref appTerm absTerm appTerm nil cons cons 347 ref 4533 ref 13378 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 4534 ref 14091 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp absThm eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 13360 remove cons 381 ref 13361 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 93 ref 90 ref 13333 remove nil cons cons 10733 remove cons nil cons cons 1157 ref subst proveHyp eqMp nil 346 ref 11325 remove nil cons cons 347 ref 11393 remove cons nil cons cons nil cons cons 412 ref subst proveHyp nil 718 ref 10447 remove cons 677 ref 11272 ref nil cons 14092 def cons 13372 remove cons cons nil cons cons 11598 remove subst sym nil 90 ref 2195 ref 56 ref 4555 ref 2198 ref appTerm appTerm 13375 remove 26 ref 11272 ref appTerm 14093 def 2198 ref appTerm 14094 def appTerm 14095 def appTerm 14096 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2195 ref nil 77 ref 14096 ref nil cons 14097 def cons nil cons nil cons cons 82 ref subst 4461 remove nil 4464 remove 347 ref 14097 ref cons nil cons 14098 def cons nil cons cons 403 ref subst proveHyp nil 90 ref 2281 ref 11609 remove 14096 ref appTerm 14099 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 2281 ref nil 77 ref 14099 remove nil cons cons nil cons nil cons cons 82 ref subst nil 11612 remove 14098 ref cons nil cons cons 14100 def 362 ref subst 14100 remove 412 ref subst 11614 remove nil 11617 remove 14098 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1486 ref 11619 remove 14096 ref appTerm 14101 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 14101 remove nil cons cons nil cons nil cons cons 82 ref subst nil 11622 remove 14098 ref cons nil cons cons 14102 def 362 ref subst 14102 remove 412 ref subst 11625 remove nil 11627 remove 14098 remove cons nil cons cons 14103 def 403 ref subst proveHyp 14103 ref 362 ref subst 14103 remove 412 ref subst 56 ref "_39427" 1 ref var 14104 def 56 ref 26 ref 14104 remove varTerm appTerm 2198 ref appTerm appTerm 14095 ref appTerm absTerm 14105 def 4051 ref appTerm 14106 def appTerm refl 14105 ref 4049 ref appTerm betaConv appThm 383 ref 14106 remove betaConv appThm 56 ref 26 ref 4049 ref appTerm 14107 def 2198 ref appTerm appTerm 14108 def 14095 remove appTerm refl appThm trans 14105 remove refl 4052 remove assume sym 14109 def appThm eqMp sym 56 ref "_39429" 1 ref var 14110 def 14108 ref 707 ref 26 ref 14110 remove varTerm appTerm 2198 ref appTerm appTerm 13374 remove appTerm 14094 ref appTerm appTerm absTerm 14111 def 4030 remove appTerm 14112 def appTerm refl 14111 ref 4019 remove appTerm betaConv appThm 383 ref 14112 remove betaConv appThm 14108 remove 13389 remove 14094 ref appTerm appTerm refl appThm trans 14111 remove refl 10465 remove appThm eqMp sym 383 ref nil 3859 ref 4048 ref nil cons 14113 def cons nil cons 14114 def nil cons cons 4453 ref subst 3877 ref 4048 ref appTerm refl 14115 def 11633 remove appThm nil 11634 remove 2328 ref 4494 ref 14113 remove cons nil cons 14116 def cons 14117 def cons nil cons cons 4524 ref subst 4048 ref 2283 ref appTerm betaConv 14118 def 5102 ref appThm 4047 ref 1487 ref appTerm betaConv trans trans trans trans appThm 11635 remove 13419 remove appThm 14094 ref refl 14119 def appThm appThm sym 383 ref "_39431" 2 ref var 14120 def 56 ref 4046 remove appTerm 14121 def 14120 remove varTerm appTerm absTerm 14122 def 10545 remove 664 ref appTerm 14094 ref appTerm appTerm betaConv appThm 1017 ref 11640 remove 14122 ref 664 ref appTerm betaConv appThm appThm 2113 remove 14122 ref 14094 ref appTerm betaConv appThm appThm appThm nil 6161 remove 14094 ref nil cons cons 6162 remove 668 remove cons 11643 remove cons cons nil cons cons nil 6166 remove 14122 remove nil cons cons nil cons nil cons cons 6167 remove subst subst eqMp sym nil 11644 ref 347 ref 14121 ref 664 ref appTerm 14123 def nil cons 14124 def cons nil cons cons nil cons cons 14125 def 362 ref subst 14125 remove 412 ref subst 1017 ref 4040 ref refl 14126 def 11875 ref appThm 6754 remove 2729 ref subst 14127 def trans appThm 39 ref refl 14128 def 3249 ref 10406 remove 7772 remove 11875 ref appThm 3255 remove appThm appThm appThm appThm appThm nil 77 ref 39 ref 11888 ref appTerm nil cons cons nil cons nil cons cons 3159 ref subst 14129 def trans eqMp nil 12144 ref 381 ref 14124 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 11639 remove 14123 remove appTerm nil cons cons 347 ref 2107 remove 14121 remove 14094 ref appTerm 14130 def appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 1930 ref 347 ref 14130 ref nil cons 14131 def cons nil cons 14132 def cons nil cons cons 14133 def 362 ref subst 14133 remove 412 ref subst 12150 ref nil 12153 ref 14132 ref cons nil cons cons 403 ref subst proveHyp 12155 ref 14130 ref refl appThm sym nil 90 ref 12157 ref 12160 ref 14130 ref appTerm 14134 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 12157 ref nil 77 ref 14134 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12163 ref 14132 ref cons nil cons cons 14135 def 362 ref subst 14135 remove 412 ref subst 12165 ref nil 12169 ref 14132 remove cons nil cons cons 14136 def 403 ref subst proveHyp 14136 ref 362 ref subst 14136 remove 412 ref subst 56 ref "_39437" 16 ref var 14137 def 56 ref 24 ref 4040 ref 14137 remove varTerm 14138 def appTerm appTerm 39 ref 1062 ref 3061 ref 4042 ref 14138 remove appTerm 135 ref appTerm appTerm appTerm appTerm appTerm appTerm 14094 ref appTerm absTerm 14139 def 1487 ref appTerm 14140 def appTerm refl 14139 ref 12166 ref appTerm betaConv appThm 383 ref 14140 remove betaConv appThm 56 ref 24 ref 4040 ref 12166 ref appTerm appTerm 14141 def 39 ref 1062 ref 3061 ref 4042 ref 12166 ref appTerm 135 ref appTerm appTerm appTerm appTerm appTerm appTerm 14094 ref appTerm refl appThm trans 14139 remove refl 12424 ref appThm eqMp sym 383 ref 14141 remove refl 14128 ref 12599 remove appThm appThm appThm 14119 ref appThm sym 383 ref 1017 ref 3644 ref 12588 remove appThm nil 12589 ref 7345 ref cons nil cons cons 1462 ref subst 12590 ref 5334 ref subst trans trans appThm 39 ref 12600 remove appTerm 14142 def refl 14143 def appThm appThm 14119 remove appThm sym 20 ref 23 ref 11273 remove appTerm 14144 def 56 ref 14093 remove 29 ref appTerm appTerm 2403 ref 26 ref 10946 ref appTerm 14145 def 29 ref appTerm appTerm 14146 def 26 ref 10929 ref appTerm 14147 def 29 ref appTerm appTerm 14148 def appTerm appTerm absTerm 14149 def 2198 ref appTerm 14150 def betaConv 718 ref 19 ref 20 ref 23 ref 11271 remove 719 ref appTerm appTerm 720 ref 14148 remove appTerm appTerm absTerm appTerm absTerm 14151 def 11272 remove appTerm 14152 def betaConv 677 ref 14 ref 718 remove 19 ref 20 ref 23 ref 11270 remove 678 ref appTerm 719 remove appTerm appTerm 720 remove 14146 remove 680 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 14153 def 10929 ref appTerm 14154 def betaConv 6069 remove 10946 ref appTerm 14155 def betaConv 6072 remove nil 6073 remove 347 ref 14155 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 6074 remove 11262 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14153 ref appTerm nil cons cons 347 ref 14154 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14153 remove nil cons cons 404 ref 11261 remove cons nil cons 14156 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14151 ref appTerm nil cons cons 347 ref 14152 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14151 remove nil cons cons 404 ref 14092 remove cons nil cons 14157 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 14149 ref appTerm nil cons cons 347 ref 14150 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14149 remove nil cons cons 2598 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14144 remove 56 ref 14094 ref appTerm 2403 ref 14145 ref 2198 ref appTerm appTerm 14147 ref 2198 ref appTerm appTerm 14158 def appTerm 14159 def appTerm nil cons cons 347 ref 56 ref 12682 ref 14142 ref appTerm appTerm 14160 def 14094 ref appTerm 14161 def nil cons 14162 def cons nil cons 14163 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 11387 remove appThm 14159 ref refl appThm nil 77 ref 14159 ref nil cons 14164 def cons nil cons nil cons cons 833 ref subst trans appThm 14161 remove refl appThm sym nil 346 ref 14164 ref cons 14163 remove cons nil cons cons 14165 def 362 ref subst 14165 remove 412 ref subst 56 ref "_39593" 2 ref var 14166 def 14160 ref 14166 remove varTerm appTerm absTerm 14167 def 14094 remove appTerm 14168 def appTerm refl 14167 ref 14158 ref appTerm betaConv appThm 383 ref 14168 remove betaConv appThm 14160 ref 14158 remove appTerm 14169 def refl appThm trans 14167 remove refl 14159 remove assume appThm eqMp sym 12411 remove nil 12419 remove 347 ref 14169 ref nil cons 14170 def cons nil cons 14171 def cons nil cons cons 403 ref subst proveHyp 12425 remove nil 12426 remove 347 ref 12427 remove 14169 ref appTerm 14172 def nil cons cons nil cons 14173 def cons nil cons cons 412 ref subst proveHyp nil 90 ref 11415 ref 12431 remove 14169 ref appTerm 14174 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 11415 remove nil 77 ref 14174 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12434 remove 14171 ref cons nil cons cons 14175 def 362 ref subst 14175 remove 412 ref subst 12436 remove nil 12438 remove 14171 remove cons nil cons cons 14176 def 403 ref subst proveHyp 14176 ref 362 ref subst 14176 remove 412 ref subst 12442 remove 12443 remove 56 ref "_39595" 16 ref var 14177 def 14160 ref 2403 ref 14145 ref 14177 remove varTerm 14178 def appTerm appTerm 14147 ref 14178 remove appTerm appTerm appTerm absTerm 14179 def 2198 remove appTerm 14180 def appTerm refl 14179 ref 11418 ref appTerm betaConv appThm 383 ref 14180 remove betaConv appThm 14160 ref 2403 ref 14145 ref 11418 ref appTerm appTerm 14147 ref 11418 remove appTerm appTerm appTerm 14181 def refl appThm trans 14179 remove refl 11469 remove appThm eqMp sym 20 ref 23 ref 10947 remove appTerm 14182 def 56 ref 14145 ref 1791 ref appTerm appTerm 4555 ref 29 ref appTerm 14183 def appTerm appTerm absTerm 14184 def 11417 ref appTerm 14185 def betaConv 677 ref 19 ref 20 ref 23 ref 10945 remove 678 ref appTerm appTerm 1792 ref 14183 remove appTerm appTerm absTerm appTerm absTerm 14186 def 10946 remove appTerm 14187 def betaConv 1803 ref 4051 ref appTerm 14188 def betaConv 1805 ref nil 1807 ref 347 ref 14188 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 10448 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14186 ref appTerm nil cons cons 347 ref 14187 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14186 remove nil cons cons 11262 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 14184 ref appTerm nil cons cons 347 ref 14185 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14184 remove nil cons cons 12502 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14182 remove 56 ref 14145 ref 12504 ref appTerm 14189 def appTerm 4555 remove 11417 ref appTerm 14190 def appTerm 14191 def appTerm nil cons cons 347 ref 14181 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 11392 remove appThm 14191 ref refl appThm nil 77 ref 14191 ref nil cons 14192 def cons nil cons nil cons cons 833 ref subst trans appThm 14160 ref refl 14193 def 5629 ref 14145 remove refl 12507 remove 1673 ref subst 14194 def appThm appThm 14147 ref refl 14194 remove appThm appThm appThm appThm sym nil 346 ref 14192 ref cons 347 ref 14160 ref 2403 ref 14189 ref appTerm 14147 ref 12504 remove appTerm 14195 def appTerm appTerm nil cons 14196 def cons nil cons cons nil cons cons 14197 def 362 ref subst 14197 remove 412 ref subst 56 ref "_39751" 2 ref var 14198 def 14160 ref 2403 ref 14198 remove varTerm appTerm 14195 ref appTerm appTerm absTerm 14199 def 14189 remove appTerm 14200 def appTerm refl 14199 ref 14190 ref appTerm betaConv appThm 383 ref 14200 remove betaConv appThm 14160 ref 2403 ref 14190 remove appTerm 14201 def 14195 ref appTerm appTerm 14202 def refl 14203 def appThm trans 14199 remove refl 14191 remove assume appThm eqMp sym 1567 ref 23 ref 11327 ref 24 ref 10746 ref appTerm 14204 def 10928 remove 1569 ref appTerm 14205 def appTerm appTerm appTerm 270 remove 10745 ref appTerm 14206 def 1569 ref appTerm appTerm absTerm 14207 def 10929 ref appTerm 14208 def betaConv 1160 ref 14 ref 1567 ref 23 ref 11327 ref 24 ref 10744 ref 1163 ref appTerm appTerm 14205 remove appTerm appTerm appTerm 1726 ref appTerm absTerm appTerm absTerm 14209 def 10745 ref appTerm 14210 def betaConv 12530 remove 131 ref appTerm 14211 def betaConv 12535 remove nil 12536 remove 347 ref 14211 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 12537 remove 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14209 ref appTerm nil cons cons 347 ref 14210 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14209 remove nil cons cons 404 ref 10745 ref nil cons cons nil cons 14212 def cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14207 ref appTerm nil cons cons 347 ref 14208 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14207 remove nil cons cons 14156 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 11327 remove 14204 remove 10930 remove appTerm appTerm appTerm 14206 ref 10929 ref appTerm 14213 def appTerm nil cons cons 347 ref 14202 remove nil cons 14214 def cons nil cons 14215 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10882 remove 1017 ref nil 77 ref 10756 ref cons nil cons nil cons cons 82 ref subst 10746 ref assume eqMp 14216 def appThm 11383 remove appThm 1030 ref trans appThm 1030 ref trans appThm 14213 ref refl appThm nil 77 ref 14213 ref nil cons 14217 def cons nil cons nil cons cons 14218 def 833 ref subst trans appThm 14203 ref appThm sym nil 346 ref 14217 ref cons 14215 ref cons nil cons cons 14219 def 362 ref subst 14219 remove 412 ref subst 20 ref 23 ref 14213 ref appTerm 14220 def 56 ref 14147 remove 1791 ref appTerm appTerm 26 ref 10745 ref appTerm 14221 def 29 ref appTerm 14222 def appTerm appTerm absTerm 14223 def 11417 ref appTerm 14224 def betaConv 677 ref 19 ref 20 ref 23 ref 14206 remove 678 ref appTerm appTerm 1792 ref 14222 remove appTerm appTerm absTerm appTerm absTerm 14225 def 10929 remove appTerm 14226 def betaConv 1803 ref 10745 ref appTerm 14227 def betaConv 1805 ref nil 1807 ref 347 ref 14227 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 ref 14212 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14225 ref appTerm nil cons cons 347 ref 14226 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14225 remove nil cons cons 14156 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 14223 ref appTerm nil cons cons 347 ref 14224 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14223 remove nil cons cons 12502 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14220 remove 56 ref 14195 ref appTerm 14221 remove 11417 ref appTerm 14228 def appTerm 14229 def appTerm nil cons cons 14215 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 14218 remove 82 ref subst 14213 remove assume eqMp appThm 14229 ref refl appThm nil 77 ref 14229 ref nil cons 14230 def cons nil cons nil cons cons 833 ref subst trans appThm 14203 remove appThm sym nil 346 ref 14230 ref cons 14215 remove cons nil cons cons 14231 def 362 ref subst 14231 remove 412 ref subst 56 ref "_39753" 2 ref var 14232 def 14160 ref 14201 ref 14232 remove varTerm appTerm appTerm absTerm 14233 def 14195 remove appTerm 14234 def appTerm refl 14233 ref 14228 ref appTerm betaConv appThm 383 ref 14234 remove betaConv appThm 14160 ref 14201 remove 14228 ref appTerm appTerm refl appThm trans 14233 remove refl 14229 remove assume appThm eqMp sym 56 ref "_39755" 1 ref var 14235 def 14160 ref 2403 ref 26 ref 14235 remove varTerm appTerm 11417 ref appTerm appTerm 14228 ref appTerm appTerm absTerm 14236 def 4051 ref appTerm 14237 def appTerm refl 14236 ref 4049 ref appTerm betaConv appThm 383 ref 14237 remove betaConv appThm 14160 ref 2403 ref 14107 ref 11417 ref appTerm appTerm 14228 ref appTerm appTerm refl appThm trans 14236 remove refl 14109 ref appThm eqMp sym 14193 ref 5629 ref nil 11434 ref 14114 ref cons nil cons cons 4453 ref subst 14115 ref 12603 ref appThm nil 12604 ref 14117 remove cons nil cons cons 4524 ref subst 14118 remove 12605 ref appThm 4047 remove 12158 ref appTerm betaConv trans trans trans trans appThm 14228 ref refl appThm appThm sym 6003 remove nil 6004 remove 347 ref 108 remove 6007 ref 6014 remove absTerm 14238 def appTerm 14239 def nil cons 14240 def cons nil cons cons nil cons cons 403 ref subst proveHyp 5986 remove eqMp nil 346 ref 14240 remove cons 347 ref 14160 ref 2403 ref 24 ref 4040 ref 12158 ref appTerm appTerm 39 ref 12621 ref appTerm appTerm appTerm 14241 def 14228 remove appTerm appTerm 14242 def nil cons 14243 def cons nil cons 14244 def cons nil cons cons 403 ref subst nil 5 ref 6007 ref 23 ref 14238 ref 6008 ref appTerm 14245 def appTerm 14242 ref appTerm 14246 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 6007 remove nil 77 ref 14246 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 14245 remove nil cons 14247 def cons 14244 ref cons nil cons cons 14248 def 362 ref subst 14248 remove 412 ref subst 6013 remove nil 6016 remove 14244 ref cons nil cons cons 14249 def 403 ref subst proveHyp 14249 ref 362 ref subst 14249 remove 412 ref subst 1567 ref 23 ref 12634 ref 6188 ref 10744 remove 1569 ref appTerm 14250 def appTerm appTerm appTerm 10707 remove 6008 ref appTerm 14251 def 1569 ref appTerm appTerm absTerm 14252 def 10745 ref appTerm 14253 def betaConv 1160 ref 14 ref 1567 ref 23 ref 12634 ref 24 ref 5989 remove 1163 remove appTerm appTerm 14254 def 14250 remove appTerm appTerm appTerm 10712 remove appTerm absTerm appTerm absTerm 14255 def 6008 ref appTerm 14256 def betaConv 12646 remove 131 ref appTerm 14257 def betaConv 12654 remove nil 12655 remove 347 ref 14257 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 12656 remove 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14255 ref appTerm nil cons cons 347 ref 14256 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14255 remove nil cons cons 6216 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14252 ref appTerm nil cons cons 347 ref 14253 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14252 remove nil cons cons 14212 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 12634 remove 6188 ref 10746 remove appTerm appTerm appTerm 14251 ref 10745 ref appTerm appTerm nil cons cons 14244 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 10731 remove 6130 remove 14216 remove appThm 1030 ref trans appThm 1030 ref trans appThm 14251 remove betaConv 10745 ref refl appThm 10696 remove 10698 remove 3944 remove 2281 remove 1486 ref 10699 remove 6027 ref 4045 remove appTerm appTerm absTerm 14258 def absTerm 14259 def appTerm 14260 def appTerm absTerm 10745 ref appTerm betaConv trans appThm nil 77 ref 1323 remove 10745 ref appTerm 14260 ref appTerm 14261 def nil cons 14262 def cons nil cons nil cons cons 833 ref subst trans appThm 14242 ref refl appThm sym nil 346 ref 14262 ref cons 14244 remove cons nil cons cons 14263 def 362 ref subst 14263 remove 412 ref subst 56 ref "_39757" 1 ref var 14264 def 14160 ref 14241 ref 26 ref 14264 remove varTerm appTerm 11417 ref appTerm appTerm appTerm absTerm 14265 def 10745 remove appTerm 14266 def appTerm refl 14265 ref 14260 ref appTerm betaConv appThm 383 ref 14266 remove betaConv appThm 14160 ref 14241 ref 26 ref 14260 remove appTerm 11417 remove appTerm appTerm appTerm refl appThm trans 14265 remove refl 14261 remove assume appThm eqMp sym 14193 remove 14241 ref refl 14267 def nil 11434 remove 3859 remove 14259 ref nil cons 14268 def cons nil cons cons nil cons cons 4453 ref subst 3877 remove 14259 ref appTerm refl 12603 ref appThm nil 12604 remove 2328 remove 4494 remove 14268 remove cons nil cons cons cons nil cons cons 4524 ref subst 14259 remove 2283 remove appTerm betaConv 12605 remove appThm 14258 remove 12158 ref appTerm betaConv trans trans trans trans appThm appThm sym nil 12713 remove 347 ref 14160 remove 14241 ref 12682 remove 6027 ref 12621 remove appTerm 14269 def appTerm appTerm appTerm nil cons 14270 def cons nil cons 14271 def cons nil cons cons 14272 def 362 ref subst 14272 remove 412 ref subst 12722 remove nil 12725 remove 14271 ref cons nil cons cons 403 ref subst proveHyp 12726 remove 383 ref 13815 ref 14143 remove appThm nil 77 ref 14142 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm 14267 remove 13815 remove 14269 ref refl appThm nil 77 ref 14269 ref nil cons cons nil cons nil cons cons 1026 ref subst trans appThm appThm appThm sym nil 90 ref 12727 ref 12730 remove 56 ref 14142 remove appTerm 14241 remove 14269 remove appTerm appTerm 14273 def appTerm 14274 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 12727 remove nil 77 ref 14274 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12734 remove 347 ref 14273 ref nil cons 14275 def cons nil cons 14276 def cons nil cons cons 14277 def 362 ref subst 14277 remove 412 ref subst 12738 remove nil 12742 remove 14276 remove cons nil cons cons 14278 def 403 ref subst proveHyp 14278 ref 362 ref subst 14278 remove 412 ref subst 56 ref "_39759" 16 ref var 14279 def 56 ref 39 ref 1062 ref 3061 ref 14279 remove varTerm 14280 def appTerm appTerm appTerm appTerm 2403 ref 24 ref 4040 ref 14280 ref appTerm appTerm 39 ref 1062 ref 3061 ref 4042 remove 14280 remove appTerm 135 ref appTerm appTerm appTerm 14281 def appTerm appTerm appTerm 6027 ref 14281 remove appTerm appTerm appTerm absTerm 14282 def 12158 ref appTerm 14283 def appTerm refl 14282 ref 12739 ref appTerm betaConv appThm 383 ref 14283 remove betaConv appThm 56 ref 39 ref 12749 ref appTerm 14284 def appTerm 14285 def 2403 ref 24 ref 4040 remove 12739 ref appTerm appTerm 14286 def 39 ref 12753 ref appTerm appTerm appTerm 6027 ref 12753 remove appTerm appTerm appTerm refl appThm trans 14282 remove refl 12754 ref appThm eqMp sym 14285 ref refl 14287 def 5629 ref 14286 remove refl 14128 ref 12759 ref appThm appThm appThm 6027 ref refl 14288 def 12759 remove appThm appThm appThm sym 14287 remove 5629 ref 1017 ref 3644 remove 12739 ref refl appThm nil 12756 remove 7345 remove cons nil cons cons 1462 remove subst 12757 remove 5334 ref subst trans trans appThm 39 ref 12761 ref appTerm 14289 def refl appThm appThm 6027 ref 12761 ref appTerm 14290 def refl 14291 def appThm appThm sym 675 ref 12749 ref appTerm 14292 def betaConv 697 ref nil 698 ref 347 ref 14292 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 699 ref 12779 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 671 ref 14285 ref 672 ref 12749 ref appTerm 14293 def appTerm 14294 def appTerm nil cons cons 347 ref 14285 remove 2403 ref 24 ref 38 ref 122 ref 12728 ref appTerm 134 ref appTerm 14295 def appTerm 14296 def appTerm 14297 def 14289 ref appTerm 14298 def appTerm 14290 ref appTerm 14299 def appTerm 14300 def nil cons 14301 def cons nil cons 14302 def cons nil cons cons 403 ref subst proveHyp 96 ref 840 ref 14294 ref refl appThm nil 77 ref 14294 ref nil cons 14303 def cons nil cons nil cons cons 833 ref subst trans appThm 14300 remove refl appThm sym nil 346 ref 14303 ref cons 14302 remove cons nil cons cons 14304 def 362 ref subst 14304 remove 412 ref subst 56 ref "_39919" 2 ref var 14305 def 56 ref 14305 remove varTerm appTerm 14299 ref appTerm absTerm 14306 def 14284 remove appTerm 14307 def appTerm refl 14306 ref 14293 ref appTerm betaConv 14308 def appThm 383 ref 14307 remove betaConv appThm 56 ref 14293 ref appTerm 14309 def 14299 ref appTerm 14310 def refl 14311 def appThm trans 14306 remove refl 14312 def 14294 remove assume appThm eqMp sym 716 ref 12749 ref appTerm 14313 def betaConv 746 ref nil 747 ref 347 ref 14313 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 748 ref 12779 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 704 ref 14309 remove 13829 remove 712 ref 12749 remove appTerm 14314 def appTerm 14315 def appTerm 14316 def appTerm nil cons cons 347 ref 14310 remove nil cons 14317 def cons nil cons 14318 def cons nil cons cons 403 ref subst proveHyp 96 ref 751 ref 14316 ref refl appThm nil 77 ref 14316 ref nil cons 14319 def cons nil cons nil cons cons 833 ref subst trans appThm 14311 remove appThm sym nil 346 ref 14319 ref cons 14318 remove cons nil cons cons 14320 def 362 ref subst 14320 remove 412 ref subst 56 ref "_39921" 2 ref var 14321 def 56 ref 14321 remove varTerm appTerm 14299 ref appTerm absTerm 14322 def 14293 remove appTerm appTerm refl 14322 remove 14315 ref appTerm betaConv appThm 383 ref 14308 remove appThm 56 ref 14315 remove appTerm 14299 ref appTerm refl appThm trans 14312 ref 14316 remove assume appThm eqMp sym 12810 remove 56 ref "_39923" 2 ref var 14323 def 56 ref 707 ref 14323 remove varTerm appTerm 13828 remove appTerm 14314 ref appTerm appTerm 14299 ref appTerm absTerm 14324 def 12780 remove appTerm 14325 def appTerm refl 14324 ref 664 ref appTerm betaConv appThm 383 ref 14325 remove betaConv appThm 56 ref 13840 remove 14314 ref appTerm appTerm 14299 ref appTerm refl appThm trans 14324 remove refl 12814 remove appThm eqMp sym 383 ref nil 794 ref 14314 remove nil cons cons 13841 remove cons nil cons cons 6045 remove subst 712 ref refl 12815 remove appThm trans appThm 14299 ref refl 14326 def appThm sym 6062 remove 12828 ref appTerm 14327 def betaConv 6078 remove nil 6079 remove 347 ref 14327 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 6080 remove 12956 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6057 remove 56 ref 712 ref 12828 ref appTerm 14328 def appTerm 14329 def 2403 ref 6058 ref 12828 ref appTerm appTerm 6060 ref 12828 remove appTerm appTerm 14330 def appTerm 14331 def appTerm nil cons cons 347 ref 14329 remove 14299 ref appTerm 14332 def nil cons 14333 def cons nil cons 14334 def cons nil cons cons 403 ref subst proveHyp 96 ref 6085 remove 14331 ref refl appThm nil 77 ref 14331 ref nil cons 14335 def cons nil cons nil cons cons 833 ref subst trans appThm 14332 remove refl appThm sym nil 346 ref 14335 ref cons 14334 remove cons nil cons cons 14336 def 362 ref subst 14336 remove 412 ref subst 56 ref "_39925" 2 ref var 14337 def 56 ref 14337 remove varTerm appTerm 14299 ref appTerm absTerm 14338 def 14328 remove appTerm 14339 def appTerm refl 14338 remove 14330 ref appTerm betaConv appThm 383 ref 14339 remove betaConv appThm 56 ref 14330 remove appTerm 14299 ref appTerm 14340 def refl appThm trans 14312 remove 14331 remove assume appThm eqMp sym 6098 remove 12761 ref appTerm 14341 def betaConv 6103 remove nil 6104 remove 347 ref 14341 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 6105 remove 12997 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 6097 remove 56 ref 6058 remove 12999 ref appTerm 14342 def appTerm 672 ref 12761 ref appTerm 14343 def appTerm 14344 def appTerm nil cons cons 347 ref 14340 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref 6113 remove 14344 ref refl appThm nil 77 ref 14344 ref nil cons 14345 def cons nil cons nil cons cons 833 ref subst trans appThm 383 ref 5629 ref 6090 remove 13001 remove 1673 ref subst 14346 def appThm appThm 6093 remove 14346 remove appThm appThm appThm 14326 remove appThm appThm sym nil 346 ref 14345 ref cons 347 ref 56 ref 2403 ref 14342 ref appTerm 6060 ref 12999 remove appTerm 14347 def appTerm appTerm 14299 ref appTerm nil cons 14348 def cons nil cons cons nil cons cons 14349 def 362 ref subst 14349 remove 412 ref subst 56 ref "_39927" 2 ref var 14350 def 56 ref 2403 ref 14350 remove varTerm appTerm 14347 ref appTerm appTerm 14299 ref appTerm absTerm 14351 def 14342 remove appTerm 14352 def appTerm refl 14351 ref 14343 ref appTerm betaConv appThm 383 ref 14352 remove betaConv appThm 56 ref 2403 remove 14343 ref appTerm 14353 def 14347 ref appTerm appTerm 14299 ref appTerm 14354 def refl 14355 def appThm trans 14351 remove refl 14344 remove assume appThm eqMp sym 1567 ref 23 ref 269 ref 6188 ref 191 remove 1569 ref appTerm 14356 def appTerm appTerm appTerm 6135 ref 1569 remove appTerm appTerm absTerm 14357 def 192 ref appTerm 14358 def betaConv 1160 remove 14 ref 1567 remove 23 ref 269 ref 14254 remove 14356 remove appTerm appTerm appTerm 1726 remove appTerm absTerm appTerm absTerm 14359 def 6008 ref appTerm 14360 def betaConv 13020 remove 131 remove appTerm 14361 def betaConv 13025 remove nil 13026 remove 347 ref 14361 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 13027 remove 1508 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14359 ref appTerm nil cons cons 347 ref 14360 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14359 remove nil cons cons 6216 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14357 ref appTerm nil cons cons 347 ref 14358 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14357 remove nil cons cons 6077 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 269 remove 6188 remove 193 remove appTerm appTerm appTerm 6136 ref appTerm nil cons cons 347 ref 14354 remove nil cons 14362 def cons nil cons 14363 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 6132 remove appThm 6136 ref refl appThm nil 77 ref 6137 ref cons nil cons nil cons cons 14364 def 833 ref subst trans appThm 14355 ref appThm sym nil 6139 remove 14363 ref cons nil cons cons 14365 def 362 ref subst 14365 remove 412 ref subst 20 ref 23 ref 6136 ref appTerm 14366 def 56 ref 6060 remove 1791 ref appTerm appTerm 6189 ref appTerm appTerm absTerm 14367 def 12761 ref appTerm 14368 def betaConv 677 ref 19 ref 20 ref 23 ref 6135 remove 678 remove appTerm appTerm 1792 ref 6189 remove appTerm appTerm absTerm appTerm absTerm 14369 def 192 remove appTerm 14370 def betaConv 1803 remove 6008 remove appTerm 14371 def betaConv 1805 remove nil 1807 remove 347 ref 14371 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1816 remove 6216 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14369 ref appTerm nil cons cons 347 ref 14370 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14369 remove nil cons cons 6077 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 14367 ref appTerm nil cons cons 347 ref 14368 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14367 remove nil cons cons 12997 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14366 remove 56 ref 14347 ref appTerm 14290 ref appTerm 14372 def appTerm nil cons cons 14363 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 14364 remove 82 ref subst 6136 remove assume eqMp appThm 14372 ref refl appThm nil 77 ref 14372 ref nil cons 14373 def cons nil cons nil cons cons 833 ref subst trans appThm 14355 remove appThm sym nil 346 ref 14373 ref cons 14363 remove cons nil cons cons 14374 def 362 ref subst 14374 remove 412 ref subst 56 ref "_39929" 2 ref var 14375 def 56 ref 14353 ref 14375 remove varTerm appTerm appTerm 14299 ref appTerm absTerm 14376 def 14347 remove appTerm 14377 def appTerm refl 14376 ref 14290 ref appTerm betaConv appThm 383 ref 14377 remove betaConv appThm 56 ref 14353 remove 14290 remove appTerm appTerm 14299 remove appTerm refl appThm trans 14376 remove refl 14372 remove assume appThm eqMp sym 5629 ref 675 remove 12761 remove appTerm 14378 def betaConv 697 remove nil 698 remove 347 ref 14378 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 699 remove 12997 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 671 remove 56 ref 14289 ref appTerm 14343 ref appTerm 14379 def appTerm nil cons cons 347 ref 56 ref 14343 ref appTerm 14380 def 14298 remove appTerm 14381 def nil cons 14382 def cons nil cons 14383 def cons nil cons cons 403 ref subst proveHyp 96 ref 840 remove 14379 ref refl appThm nil 77 ref 14379 ref nil cons 14384 def cons nil cons nil cons cons 833 ref subst trans appThm 14381 remove refl appThm sym nil 346 ref 14384 ref cons 14383 remove cons nil cons cons 14385 def 362 ref subst 14385 remove 412 ref subst 56 ref "_39931" 2 ref var 14386 def 14380 ref 14297 ref 14386 remove varTerm appTerm appTerm absTerm 14387 def 14289 remove appTerm 14388 def appTerm refl 14387 ref 14343 ref appTerm betaConv appThm 383 ref 14388 remove betaConv appThm 14380 ref 14297 remove 14343 ref appTerm appTerm 14389 def refl appThm trans 14387 remove refl 14379 remove assume appThm eqMp sym nil 346 ref 14296 remove nil cons 14390 def cons 14391 def 347 ref 14389 remove nil cons 14392 def cons nil cons 14393 def cons nil cons cons 14394 def 362 ref subst 14394 remove 412 ref subst 14380 remove refl 1017 ref 839 ref nil 14391 remove 347 ref 56 ref 14295 ref appTerm 664 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst nil 379 ref 14295 ref nil cons 14395 def cons 14396 def nil cons nil cons cons 791 remove subst eqMp appThm 3162 ref trans appThm 14343 ref refl appThm nil 77 ref 14343 remove nil cons 14397 def cons nil cons nil cons cons 1026 ref subst trans appThm nil 789 ref 14397 remove cons nil cons nil cons cons 2336 ref subst trans sym 81 ref eqMp eqMp nil 379 ref 14390 ref cons 381 ref 14392 ref cons nil cons 14398 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 14395 ref cons 14393 remove cons nil cons cons 14399 def 362 ref subst 14399 remove 412 ref subst 56 ref "_39933" 16 ref var 14400 def 56 ref 672 ref 1062 ref 3061 remove 14400 remove varTerm 14401 def appTerm appTerm appTerm 14402 def appTerm 24 ref 38 ref 122 ref 14401 remove appTerm 134 ref appTerm appTerm appTerm 14402 remove appTerm appTerm absTerm 14403 def 12728 ref appTerm 14404 def appTerm refl 14403 ref 134 ref appTerm betaConv appThm 383 ref 14404 remove betaConv appThm 56 ref 672 ref 3834 ref appTerm 14405 def appTerm 24 ref 38 ref 2755 remove appTerm appTerm 14406 def 14405 remove appTerm appTerm refl appThm trans 14403 remove refl 14295 ref assume 14407 def appThm eqMp sym 383 ref 5367 remove 3836 remove appThm 14408 def appThm 13418 ref 14408 remove appThm nil 77 ref 672 remove 2675 ref appTerm 14409 def nil cons cons nil cons nil cons cons 14410 def 3159 ref subst trans appThm 14410 remove 826 ref subst trans sym 716 remove 2675 ref appTerm 14411 def betaConv 746 remove nil 747 remove 347 ref 14411 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 748 remove 11523 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 704 remove 56 ref 14409 ref appTerm 13959 remove 712 remove 2675 remove appTerm 14412 def appTerm 14413 def appTerm 14414 def appTerm nil cons cons 347 ref 38 ref 14409 ref appTerm 14415 def nil cons 14416 def cons nil cons 14417 def cons nil cons cons 403 ref subst proveHyp 96 ref 751 remove 14414 ref refl appThm nil 77 ref 14414 ref nil cons 14418 def cons nil cons nil cons cons 833 ref subst trans appThm 14415 remove refl appThm sym nil 346 ref 14418 ref cons 14417 remove cons nil cons cons 14419 def 362 ref subst 14419 remove 412 ref subst 56 ref "_40095" 2 ref var 14420 def 38 ref 14420 remove varTerm appTerm absTerm 14421 def 14409 remove appTerm 14422 def appTerm refl 14421 ref 14413 ref appTerm betaConv appThm 383 ref 14422 remove betaConv appThm 38 ref 14413 remove appTerm refl appThm trans 14421 remove refl 14414 remove assume appThm eqMp sym 56 ref "_40087" 16 ref var 14423 def 11421 ref 2668 ref 1377 ref 14423 remove varTerm appTerm appTerm appTerm absTerm 14424 def 12728 remove appTerm 14425 def appTerm refl 14424 ref 134 ref appTerm betaConv appThm 383 ref 14425 remove betaConv appThm 11421 ref 2668 ref 1946 ref appTerm appTerm 14426 def refl appThm trans 14424 remove refl 14407 remove appThm eqMp 56 ref "_39913" 16 ref var 14427 def 11421 ref 2668 ref 14427 remove varTerm appTerm appTerm absTerm 14428 def 12158 ref appTerm 14429 def appTerm refl 14428 ref 12739 ref appTerm betaConv appThm 383 ref 14429 remove betaConv appThm 11421 remove 2668 remove 12739 remove appTerm appTerm refl appThm trans 14428 remove refl 12754 remove appThm eqMp 12603 remove eqMp eqMp nil 346 ref 14426 remove nil cons cons 347 ref 56 ref 2679 ref appTerm 67 ref appTerm 14430 def nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 96 ref nil 1486 ref 1947 remove cons 11435 remove cons nil cons cons 3975 remove subst appThm 3012 remove 1539 remove subst appThm sym nil 346 ref 24 ref 11444 remove 2677 remove 1946 ref appTerm appTerm 14431 def appTerm 2680 remove 19 ref 1158 ref 23 ref 1401 remove 1946 remove appTerm appTerm 2686 remove appTerm absTerm appTerm 14432 def appTerm 14433 def appTerm nil cons 14434 def cons 347 ref 3011 ref cons nil cons cons nil cons cons 14435 def 362 ref subst 14435 remove 412 ref subst nil 379 ref 14431 remove nil cons cons 381 ref 14433 remove nil cons cons nil cons cons nil cons cons 428 ref subst nil 3462 remove 381 ref 14432 remove nil cons cons nil cons cons nil cons cons 395 ref subst proveHyp eqMp nil 379 ref 14434 remove cons 381 ref 3011 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp 56 ref "_40097" 2 ref var 14436 def 38 ref 707 ref 14436 remove varTerm appTerm 13958 ref appTerm 14412 ref appTerm appTerm absTerm 14437 def 2679 remove appTerm 14438 def appTerm refl 14437 ref 67 ref appTerm betaConv appThm 383 ref 14438 remove betaConv appThm 38 ref 707 remove 67 remove appTerm 13958 ref appTerm 14412 ref appTerm appTerm refl appThm trans 14437 remove refl 14430 remove assume appThm eqMp sym 839 ref nil 794 remove 14412 remove nil cons cons 796 remove 13958 remove nil cons cons nil cons cons nil cons cons 817 remove subst 13966 remove trans appThm 3162 ref trans sym 81 ref eqMp eqMp proveHyp eqMp eqMp nil 379 ref 14418 remove cons 381 ref 14416 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 14396 ref 14398 remove cons nil cons cons 395 ref subst deductAntisym eqMp 5223 ref 14295 remove appTerm 14439 def betaConv 5226 ref nil 5227 ref 347 ref 14439 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 5228 ref 789 ref 14395 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 14396 remove 381 ref 14390 remove cons 2464 ref 14392 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 379 ref 14384 remove cons 381 ref 14382 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp appThm 14291 remove appThm eqMp eqMp nil 379 ref 14373 remove cons 381 ref 14362 remove cons nil cons 14440 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 6137 remove cons 14440 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 14345 remove cons 381 ref 14348 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 14335 remove cons 381 ref 14333 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp eqMp eqMp nil 379 ref 14319 remove cons 381 ref 14317 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 14303 remove cons 381 ref 14301 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 13062 remove 381 ref 14275 remove cons nil cons 14441 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13064 remove 14441 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13065 remove 14273 ref appTerm absTerm appTerm nil cons cons 347 ref 13066 remove 14273 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 13067 remove 14441 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 13068 remove 381 ref 14270 ref cons nil cons 14442 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 12692 remove 14271 remove cons nil cons cons 14443 def 362 ref subst 14443 remove 412 ref subst 383 ref 13957 ref 14128 ref 3249 ref 12701 remove appThm appThm appThm nil 77 ref 39 ref 3834 remove appTerm nil cons cons nil cons nil cons cons 3159 ref subst trans appThm 5629 remove 1017 ref 14126 remove 12699 remove appThm 14127 remove trans appThm 14128 ref 12705 ref appThm appThm 14129 remove trans appThm 13957 remove 14288 remove 12705 remove appThm appThm nil 77 ref 6027 remove 11888 remove appTerm nil cons cons nil cons nil cons cons 3159 ref subst trans appThm 5747 remove trans appThm 5752 ref trans sym 81 ref eqMp eqMp nil 12709 ref 14442 remove cons nil cons cons 395 ref subst deductAntisym eqMp 13968 remove nil 12709 remove 13969 remove 2464 ref 14270 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 379 ref 14262 remove cons 381 ref 14243 remove cons nil cons 14444 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 10177 remove 14444 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 14247 remove cons 14444 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 14238 ref 684 ref appTerm appTerm 14242 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 14239 remove appTerm 14242 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14238 remove nil cons cons 14444 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp eqMp eqMp nil 379 ref 14230 remove cons 381 ref 14214 remove cons nil cons 14445 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 379 ref 14217 remove cons 14445 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 379 ref 14192 remove cons 381 ref 14196 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 13076 remove 381 ref 14170 ref cons nil cons 14446 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13078 remove 14446 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13079 remove 14169 ref appTerm absTerm appTerm nil cons cons 14173 remove cons nil cons cons 403 ref subst proveHyp 93 ref 13080 remove 14446 remove cons nil cons cons 893 ref subst eqMp eqMp nil 346 ref 13081 remove 14172 remove appTerm nil cons cons 347 ref 13082 remove 14169 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 14170 remove cons 13083 remove cons nil cons cons 3428 ref subst eqMp eqMp eqMp eqMp nil 379 ref 14164 remove cons 381 ref 14162 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 13316 ref 381 ref 14131 remove cons nil cons 14447 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13317 ref 14447 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13318 ref 14130 ref appTerm absTerm appTerm nil cons cons 347 ref 13319 ref 14130 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 13320 ref 14447 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp nil 13321 ref 14447 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 13322 remove 381 ref 14097 remove cons nil cons 14448 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13324 remove 14448 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 13325 remove 14096 ref appTerm absTerm appTerm nil cons cons 347 ref 13326 remove 14096 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 13327 remove 14448 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 13328 remove 14448 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 4532 remove 14096 ref appTerm absTerm appTerm nil cons cons 347 ref 4533 remove 14096 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 4534 remove 14448 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp proveHyp eqMp eqMp eqMp eqMp 85 ref 83 ref 11371 remove nil cons cons 11032 remove cons nil cons cons 1157 ref subst proveHyp eqMp 52 ref 5 ref 11367 remove nil cons cons 11245 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11363 remove nil cons cons 11110 remove cons nil cons cons 1157 ref subst proveHyp eqMp 52 ref 5 ref 11358 remove nil cons cons 11202 remove cons nil cons cons 1157 ref subst proveHyp eqMp 52 ref 5 ref 11354 remove nil cons cons 14156 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11351 remove nil cons cons 11033 remove cons nil cons cons 1157 ref subst proveHyp eqMp 52 ref 5 ref 11349 remove nil cons cons 404 ref 10892 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11346 remove nil cons cons 11005 remove cons nil cons cons 1157 ref subst proveHyp eqMp 52 ref 5 ref 11340 remove nil cons cons 10956 remove cons nil cons cons 1157 ref subst proveHyp eqMp 52 ref 5 ref 11334 remove nil cons cons 10448 remove cons nil cons cons 1157 ref subst proveHyp eqMp 52 ref 5 ref 11331 remove nil cons cons 14157 remove cons nil cons cons 1157 ref subst proveHyp eqMp 52 ref 5 ref 11328 remove nil cons cons 11262 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11323 remove nil cons cons 10751 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11318 remove nil cons cons 10759 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11306 remove nil cons cons 13472 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11294 remove nil cons cons 12237 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 11286 remove nil cons cons 10897 remove cons nil cons cons 1157 ref subst proveHyp eqMp 85 ref 83 ref 10501 remove nil cons cons 10839 remove cons nil cons cons 1157 ref subst proveHyp eqMp 93 ref 90 ref 10502 remove nil cons cons 1508 remove cons nil cons cons 1157 ref subst proveHyp eqMp nil 379 ref 11280 remove cons 381 ref 10505 remove cons nil cons 14449 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11278 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 11274 ref 684 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11275 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 11274 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 11230 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11228 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 11224 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11225 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11224 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 11187 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11185 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 11181 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11182 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11181 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 379 ref 11020 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 11018 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 11000 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11001 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11000 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 11014 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 11002 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 11003 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 11002 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 10988 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10986 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 10982 ref 684 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10983 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10982 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 10972 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10970 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 10966 ref 684 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10967 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10966 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 10954 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10952 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 10948 ref 684 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10949 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10948 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 10938 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10936 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 10931 ref 684 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10932 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10931 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 10917 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10915 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 10910 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10911 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10910 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 10902 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10900 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 10894 ref 684 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10895 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10894 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 10879 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10877 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 10873 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10874 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10873 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 10859 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10857 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 10852 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10853 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10852 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 10844 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10842 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 10836 ref 684 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10837 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10836 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 10774 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10772 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 10768 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10769 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10768 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 10756 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10754 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 10747 ref 684 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10748 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10747 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 10726 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10724 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 10718 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10719 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10718 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 10630 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10628 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 10624 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10625 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10624 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 10602 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10600 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 10586 ref 857 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10587 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 83 ref 10586 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 10560 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 10558 remove cons 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 10554 ref 684 ref appTerm appTerm 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 10555 remove appTerm 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 10554 remove nil cons cons 14449 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 854 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 856 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 858 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 859 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 860 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 894 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 895 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 896 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 897 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 898 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 899 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 900 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 901 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 902 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 903 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 904 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 905 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 906 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 907 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 908 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 909 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 910 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 911 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 912 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 913 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 914 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 915 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 916 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 917 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 918 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 919 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 920 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 921 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 922 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 923 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 924 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 925 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 926 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 927 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 928 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 929 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 930 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 931 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 932 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 933 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 934 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 935 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 936 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 937 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 938 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 939 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 940 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 941 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 942 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 943 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 944 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 945 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 946 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 947 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 948 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 949 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 950 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 951 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 952 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 953 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 954 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 955 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 956 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 957 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 958 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 959 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 960 ref 10503 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 961 ref 14449 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 962 ref 14449 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 964 ref 10503 ref appTerm absTerm appTerm nil cons cons 347 ref 965 ref 10503 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 966 ref 14449 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp eqMp nil 346 ref 10454 ref nil cons cons 14450 def 347 ref 23 ref 10457 ref appTerm 2267 ref appTerm 14451 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 56 ref "_34225" 1 remove var 14452 def 23 ref 56 ref 26 remove 14452 remove varTerm appTerm 10455 ref appTerm appTerm 10456 ref appTerm appTerm 2267 ref appTerm absTerm 14453 def 4051 remove appTerm 14454 def appTerm refl 14453 ref 4049 remove appTerm betaConv appThm 383 ref 14454 remove betaConv appThm 23 ref 56 ref 14107 remove 10455 ref appTerm appTerm 10456 remove appTerm appTerm 2267 ref appTerm refl appThm trans 14453 remove refl 14109 remove appThm eqMp sym 96 ref 383 ref nil 2195 remove 10455 remove nil cons cons 14114 remove cons nil cons cons 4453 remove subst 14115 remove 10470 remove nil 1442 ref 10449 ref cons nil cons nil cons cons 14455 def 1715 ref subst appThm 96 ref 14455 remove 3627 remove subst appThm 2658 remove 2659 remove 2168 ref appTerm appTerm 2663 remove 2168 ref appTerm appTerm 14456 def refl appThm nil 77 ref 14456 remove nil cons cons nil cons nil cons cons 833 ref subst trans 3962 remove 2168 ref appTerm 14457 def betaConv nil 10472 remove 347 ref 14457 remove nil cons cons nil cons cons nil cons cons 403 ref subst 93 ref 3963 remove 10450 remove cons nil cons cons 414 ref subst eqMp eqMp eqMp trans appThm nil 2844 ref 10449 remove cons 1352 remove 14116 remove cons cons nil cons cons 4524 remove subst 4048 remove 134 ref appTerm betaConv 1486 ref 4041 ref refl 14128 ref 3249 ref nil 1442 ref 4044 ref nil cons cons nil cons nil cons cons 1715 remove subst appThm appThm appThm absThm trans 2168 ref refl 14458 def appThm 1486 ref 4041 remove 39 ref 1062 ref 4044 remove appTerm appTerm appTerm absTerm 2168 ref appTerm betaConv 1017 ref nil 2163 remove 1521 remove cons nil cons cons 3394 remove subst 2758 remove 5334 remove subst trans 839 ref 12154 remove appThm 3162 ref trans trans appThm 14128 ref 3249 ref nil 1520 remove 2164 ref cons nil cons cons 10421 remove subst appThm appThm appThm nil 77 ref 1906 ref nil cons cons nil cons nil cons cons 1026 ref subst trans trans trans trans trans trans appThm 4557 ref refl 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 5335 remove 1017 ref 2012 ref 5100 remove 10484 remove appThm appThm 14458 remove appThm appThm 4573 ref refl 1716 remove appThm appThm appThm appThm absThm appThm absThm appThm appThm appThm appThm appThm 2267 ref refl appThm sym nil 346 ref 1907 ref 4557 remove 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 24 ref 38 ref 1877 remove appTerm appTerm 14459 def 24 ref 4591 ref 2168 remove appTerm appTerm 4573 ref 1161 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 14460 def appTerm 14461 def nil cons 14462 def cons 2269 remove cons nil cons cons 14463 def 362 ref subst 14463 remove 412 ref subst 56 ref "_34259" 2 ref var 14464 def 56 ref 14464 remove varTerm appTerm 2266 ref appTerm absTerm 14465 def 1906 remove appTerm 14466 def appTerm refl 14465 ref 14460 ref appTerm betaConv appThm 383 ref 14466 remove betaConv appThm 56 ref 14460 remove appTerm 2266 ref appTerm refl appThm trans 14465 remove refl 14461 remove assume appThm eqMp sym 383 ref 2012 ref 1439 ref appThm 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 14459 ref refl 1017 ref 4591 ref refl 2181 remove appThm appThm nil 20 ref 1444 ref cons nil cons nil cons cons nil 77 ref 4573 remove 29 ref appTerm 14467 def nil cons cons nil cons nil cons cons 82 ref subst 20 ref 14467 remove absTerm 14468 def 29 ref appTerm 14469 def betaConv nil 19 ref 14468 ref appTerm 14470 def axiom nil 346 ref 14470 remove nil cons cons 347 ref 14469 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14468 remove nil cons cons 702 ref cons nil cons cons 414 ref subst eqMp eqMp eqMp subst appThm nil 77 ref 4591 remove 2088 ref appTerm 14471 def nil cons cons nil cons nil cons cons 1690 ref subst trans appThm appThm absThm appThm absThm appThm appThm appThm appThm 2266 ref refl appThm sym nil 4917 ref 4564 ref 4565 ref 99 ref 1158 ref 24 ref 4566 remove 1378 ref appTerm 14472 def appTerm 14473 def 4592 ref appTerm absTerm appTerm absTerm 14474 def appTerm 14475 def nil cons cons 4919 ref 4564 ref 4565 ref 99 ref 1158 ref 4568 ref 14459 remove 14471 remove appTerm 14476 def appTerm absTerm appTerm absTerm appTerm 14477 def nil cons cons nil cons cons nil cons cons 5613 ref subst sym nil 90 ref 700 ref 56 ref 4955 ref 14477 ref appTerm appTerm 4955 ref 14475 ref appTerm 14478 def appTerm 14479 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 700 ref nil 77 ref 14479 remove nil cons cons nil cons nil cons cons 82 ref subst 383 ref 383 ref 4956 remove 4957 ref 4565 ref 2071 ref 1158 ref 4958 ref 1158 ref 14476 remove absTerm 14480 def 1161 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 14480 ref 963 ref appTerm betaConv appThm nil 1823 ref 14480 remove nil cons cons nil cons nil cons cons 4969 ref subst eqMp appThm 14478 remove refl appThm sym 56 ref 24 ref 38 ref 122 ref 963 ref appTerm 14481 def 134 ref appTerm 14482 def appTerm appTerm 1612 ref 130 ref 963 ref appTerm 124 ref appTerm appTerm 2088 ref appTerm appTerm appTerm 14483 def refl nil 1823 ref 14474 ref nil cons cons nil cons nil cons cons 94 remove 66 ref 56 ref 4934 remove 4960 remove 65 ref appTerm appTerm appTerm 883 remove appTerm absTerm 14484 def 408 remove appTerm 14485 def betaConv 64 remove 60 ref 14484 ref appTerm 14486 def absTerm 14487 def 65 remove appTerm 14488 def betaConv nil 2873 remove 14487 ref appTerm 14489 def axiom nil 346 ref 14489 remove nil cons cons 347 ref 14488 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2875 remove 2876 remove 14487 remove nil cons cons 2878 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14486 remove nil cons cons 347 ref 14485 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 813 remove 61 remove 14484 remove nil cons cons 1156 remove cons nil cons cons 414 ref subst eqMp eqMp subst 14490 def subst 14474 remove 963 ref appTerm betaConv trans appThm sym nil 90 ref "xs" 16 ref var 14491 def 23 ref 1442 ref 14481 ref 1448 remove appTerm absTerm 14492 def 14491 ref varTerm 14493 def appTerm 14494 def appTerm 14483 remove 99 ref 1158 ref 24 ref 14481 ref 1378 ref appTerm appTerm 4592 ref appTerm absTerm appTerm appTerm 14495 def appTerm 14496 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 14491 remove nil 77 ref 14496 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 14494 ref nil cons 14497 def cons 347 ref 14495 ref nil cons 14498 def cons nil cons 14499 def cons nil cons cons 14500 def 362 ref subst 14500 remove 412 ref subst 14494 ref betaConv 14494 remove assume eqMp nil 346 ref 14481 ref 1377 ref 14493 ref appTerm 14501 def appTerm 14502 def nil cons 14503 def cons 14499 ref cons nil cons cons 14504 def 403 ref subst proveHyp 14504 ref 362 ref subst 14504 remove 412 ref subst 56 ref "_34297" 16 ref var 14505 def 56 ref 24 ref 38 ref 122 ref 14505 remove varTerm 14506 def appTerm 14507 def 134 ref appTerm appTerm appTerm 1612 ref 130 ref 14506 remove appTerm 124 ref appTerm appTerm 2088 ref appTerm appTerm appTerm 99 ref 1158 ref 24 ref 14507 remove 1378 ref appTerm appTerm 4592 ref appTerm absTerm appTerm appTerm absTerm 14508 def 963 ref appTerm 14509 def appTerm refl 14510 def 14508 ref 14501 ref appTerm betaConv appThm 383 ref 14509 remove betaConv appThm 14511 def 56 ref 24 ref 38 ref 122 ref 14501 ref appTerm 14512 def 134 ref appTerm appTerm appTerm 1612 ref 130 ref 14501 remove appTerm 124 ref appTerm appTerm 2088 ref appTerm appTerm appTerm 99 ref 1158 ref 24 ref 14512 remove 1378 ref appTerm appTerm 4592 ref appTerm absTerm appTerm appTerm refl appThm trans 14508 remove refl 14513 def 14502 remove assume appThm eqMp sym 383 ref 1017 ref 839 remove nil 1442 ref 14493 ref nil cons 14514 def cons nil cons nil cons cons 4004 ref subst appThm 3162 remove trans appThm 2012 ref nil 1983 remove 1308 ref 14514 ref cons nil cons 14515 def cons nil cons cons 2604 ref subst appThm 7135 remove appThm nil 1971 remove 1308 ref 130 ref 14493 ref appTerm 124 ref appTerm 14516 def nil cons cons nil cons cons nil cons cons 3327 remove subst trans appThm nil 77 ref 1612 ref 14516 remove appTerm 1487 ref appTerm nil cons 14517 def cons nil cons nil cons cons 1026 remove subst trans appThm 2071 ref 1158 ref 1017 ref nil 1658 ref 14515 remove cons nil cons cons 3342 ref subst appThm 4592 ref refl 14518 def appThm absThm appThm 383 ref 2071 ref 1158 ref 24 ref 122 ref 14493 ref appTerm 1161 ref appTerm appTerm refl 1158 ref 4592 ref absTerm 14519 def 1161 ref appTerm betaConv appThm absThm appThm appThm 14519 ref 14493 remove appTerm betaConv appThm nil 1823 ref 14519 remove nil cons cons 2792 remove 14514 remove cons nil cons cons nil cons cons 11487 remove subst eqMp trans appThm nil 789 ref 14517 remove cons nil cons nil cons cons 2336 remove subst trans sym 81 ref eqMp eqMp eqMp nil 379 ref 14503 remove cons 381 ref 14498 ref cons nil cons 14520 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 14497 remove cons 14520 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref "x'" 16 ref var 14521 def 23 ref 14492 ref 14521 ref varTerm 14522 def appTerm appTerm 14495 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 99 ref 14492 ref appTerm 14523 def appTerm 14495 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14492 remove nil cons cons 14520 ref cons nil cons cons 893 ref subst eqMp nil 346 ref 14482 ref nil cons 14524 def cons 14499 remove cons nil cons cons 14525 def 362 ref subst 14525 remove 412 ref subst 14510 remove "_34263" 16 ref var 14526 def 56 ref 24 ref 38 ref 122 ref 14526 remove varTerm 14527 def appTerm 14528 def 134 ref appTerm appTerm appTerm 1612 ref 130 ref 14527 remove appTerm 124 ref appTerm appTerm 2088 ref appTerm appTerm appTerm 99 ref 1158 ref 24 ref 14528 remove 1378 ref appTerm appTerm 4592 ref appTerm absTerm appTerm appTerm absTerm 134 ref appTerm betaConv appThm 14511 remove 56 ref 14406 remove 1612 ref 1692 remove 124 ref appTerm appTerm 2088 remove appTerm 14529 def appTerm appTerm 99 ref 1158 ref 24 ref 2754 ref 1378 remove appTerm appTerm 4592 ref appTerm absTerm appTerm appTerm refl appThm trans 14513 remove 14482 remove assume appThm eqMp sym 383 ref 13418 remove 14529 ref refl appThm nil 77 ref 14529 remove nil cons cons nil cons nil cons cons 3159 ref subst trans appThm 2071 ref 1158 ref 1017 ref 1710 remove 11513 ref subst appThm 14518 remove appThm nil 77 ref 4592 remove nil cons cons nil cons nil cons cons 3159 remove subst trans absThm appThm 5163 ref trans appThm 5752 ref trans sym 81 ref eqMp eqMp eqMp nil 379 ref 14524 remove cons 14530 def 14520 remove cons nil cons cons 395 ref subst deductAntisym eqMp 3566 remove 963 ref appTerm 14531 def betaConv 3569 remove nil 3570 remove 347 ref 14531 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 3571 remove 700 ref 963 ref nil cons 14532 def cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 14530 remove 381 ref 14523 remove nil cons cons 2464 ref 14498 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp absThm eqMp eqMp 56 ref "_34261" 4560 remove var 14533 def 56 ref 2018 ref 4561 ref 14533 remove varTerm appTerm appTerm appTerm 2266 ref appTerm absTerm 14534 def 14477 ref appTerm 14535 def appTerm refl 14534 ref 14475 ref appTerm betaConv appThm 383 ref 14535 remove betaConv appThm 56 ref 2018 ref 4561 ref 14475 ref appTerm appTerm appTerm 2266 remove appTerm refl appThm trans 14534 remove refl 55 remove 4991 remove constTerm 14477 remove appTerm 14475 remove appTerm assume appThm eqMp sym 383 ref 2018 ref refl 14536 def 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 14473 ref refl 14537 def 5216 remove 5102 ref appThm appThm absThm appThm absThm appThm appThm appThm appThm 2012 ref 2116 remove 1533 remove subst appThm 5102 ref appThm appThm sym nil 346 ref 38 ref 7491 remove 124 ref appTerm 14538 def appTerm 14539 def nil cons 14540 def cons 347 ref 56 ref 2018 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 14473 ref 1612 ref 5185 ref 1161 ref appTerm appTerm 14541 def 1487 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm 1612 ref 5185 remove 1310 ref appTerm appTerm 14542 def 1487 ref appTerm appTerm 14543 def nil cons 14544 def cons nil cons 14545 def cons nil cons cons 14546 def 362 ref subst 14546 remove 412 ref subst 5115 remove 3478 ref subst 5184 remove trans 14539 remove assume eqMp nil 5190 remove 14545 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1055 ref 5192 remove 14543 ref appTerm 14547 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1055 ref nil 77 ref 14547 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5195 remove 14545 ref cons nil cons cons 14548 def 362 ref subst 14548 remove 412 ref subst 5197 remove nil 5199 remove 14545 ref cons nil cons cons 14549 def 403 ref subst proveHyp 14549 ref 362 ref subst 14549 remove 412 ref subst 56 ref "_34333" 16 ref var 14550 def 56 ref 2018 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 14473 ref 14541 ref 14550 remove varTerm 14551 def appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm 14542 ref 14551 remove appTerm appTerm absTerm 14552 def 1487 ref appTerm 14553 def appTerm refl 14552 ref 5186 ref appTerm betaConv appThm 383 ref 14553 remove betaConv appThm 56 ref 2018 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 14473 ref 14541 remove 5186 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm 14542 remove 5186 remove appTerm appTerm refl appThm trans 14552 remove refl 5206 remove appThm eqMp sym 383 ref 14536 ref 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 14537 ref 5217 remove appThm absThm appThm absThm appThm appThm appThm appThm nil 3080 remove 10370 ref 2074 remove cons cons nil cons cons 3527 remove subst appThm sym 56 ref 2018 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 14473 ref 5215 ref appTerm absTerm appTerm absTerm 14554 def appTerm 14555 def appTerm 14556 def appTerm appTerm refl 8449 ref 1442 ref 2076 remove 3318 remove appTerm 14557 def absTerm 14558 def 1447 ref appTerm 14559 def betaConv 1308 ref 19 ref 14558 ref appTerm 14560 def absTerm 14561 def 1310 ref appTerm 14562 def betaConv 1432 ref 1308 ref 1432 ref 1442 ref 14557 remove assume sym 3319 remove assume sym deductAntisym absThm appThm absThm appThm 3326 remove eqMp nil 346 ref 19 ref 14561 ref appTerm nil cons cons 347 ref 14562 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14561 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14560 remove nil cons cons 347 ref 14559 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14558 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm sym 14536 ref 2844 ref 24 ref 122 ref 14556 ref appTerm 14563 def 2866 ref appTerm appTerm 2867 remove 2494 ref appTerm 14564 def appTerm absTerm 14565 def 4561 ref "Set.image" const 14566 def 0 ref 127 remove 5597 remove cons opType constTerm 1377 ref appTerm 4564 ref 4565 ref 99 ref 1158 ref 4568 remove 5215 ref appTerm absTerm appTerm absTerm appTerm 14567 def appTerm 14568 def appTerm 14569 def appTerm betaConv sym 5098 ref nil 4917 remove 14568 ref nil cons cons 4919 ref 14555 ref nil cons cons nil cons cons nil cons cons 5613 remove subst sym nil 90 ref 700 ref 56 ref 4955 ref 14555 remove appTerm appTerm 14570 def 4955 ref 14568 remove appTerm appTerm 14571 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 700 ref nil 77 ref 14571 remove nil cons cons nil cons nil cons cons 82 ref subst 14570 remove refl nil 4919 remove 14567 ref nil cons cons 14572 def 2253 remove 1377 ref nil cons cons 14573 def 2844 ref 14532 ref cons nil cons cons cons nil cons cons 2796 ref 3933 ref 56 ref 4932 remove 0 ref 2797 remove 0 ref 4559 remove 2799 remove opType 14574 def 3 remove cons opType nil cons cons opType constTerm 3929 ref appTerm 14566 remove 0 ref 3930 remove 0 ref 4921 remove 14574 ref nil cons cons opType nil cons cons opType constTerm 3934 ref appTerm 4929 ref appTerm 14575 def appTerm appTerm 866 remove 66 ref 24 ref 2816 ref 3929 ref appTerm 3935 ref appTerm appTerm 4935 remove appTerm absTerm appTerm appTerm absTerm 14576 def 3934 ref appTerm 14577 def betaConv 4928 ref 4314 ref 14576 ref appTerm 14578 def absTerm 14579 def 4929 ref appTerm 14580 def betaConv 3926 remove 4940 ref 14579 ref appTerm 14581 def absTerm 14582 def 3929 remove appTerm 14583 def betaConv nil 2820 remove 14582 ref appTerm 14584 def axiom nil 346 ref 14584 remove nil cons cons 347 ref 14583 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2833 remove 2834 remove 14582 remove nil cons cons 2835 remove 4509 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14581 remove nil cons cons 347 ref 14580 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 ref 4947 ref 14579 remove nil cons cons 4949 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14578 remove nil cons cons 347 ref 14577 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4316 ref 4317 ref 14576 remove nil cons cons 4319 ref cons nil cons cons 414 ref subst eqMp eqMp subst subst 2071 ref 14521 remove 24 ref 14481 ref 1377 ref 14522 ref appTerm appTerm appTerm refl 383 ref 4954 ref 14522 ref appTerm refl 4957 ref 4565 ref 2071 ref 1158 ref 4958 remove 1158 ref 5215 remove absTerm 14585 def 1161 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 14585 ref 14522 ref appTerm betaConv appThm nil 1823 ref 14585 remove nil cons cons 700 ref 14522 remove nil cons cons nil cons cons nil cons cons 4969 remove subst eqMp appThm absThm appThm trans appThm sym nil 1823 remove 14554 ref nil cons cons nil cons nil cons cons 14490 remove subst 14554 remove 963 ref appTerm betaConv trans eqMp eqMp absThm eqMp eqMp appThm nil 346 ref 14563 ref 14569 ref appTerm nil cons cons 347 ref 122 ref 14569 ref appTerm 14586 def 2494 ref appTerm nil cons cons nil cons 14587 def cons nil cons cons 412 ref subst proveHyp 2844 ref 24 ref 14586 ref 2866 ref appTerm appTerm 14564 remove appTerm absTerm 14588 def 4561 ref 14567 ref appTerm 14589 def appTerm betaConv sym 1017 ref 1432 ref 700 ref 1432 ref 2844 ref 96 ref 24 ref 4955 remove 14567 ref appTerm 14590 def appTerm 14591 def refl 24 ref 4954 remove 2866 ref appTerm 14567 ref appTerm 14592 def appTerm 14593 def refl nil 1442 ref 2866 ref nil cons cons 1308 ref 14532 remove cons nil cons cons nil cons cons 3342 remove subst appThm appThm appThm 14481 remove 2866 ref appTerm 14594 def refl appThm absThm appThm absThm appThm appThm 8449 ref 5007 remove subst appThm nil 77 ref 19 ref 700 ref 19 ref 2844 ref 23 ref 14591 ref 14593 ref 14594 ref appTerm 14595 def appTerm 14596 def appTerm 14594 ref appTerm 14597 def absTerm 14598 def appTerm 14599 def absTerm 14600 def appTerm nil cons cons nil cons nil cons cons 1690 ref subst trans sym nil 90 ref 14600 remove nil cons cons nil cons nil cons cons 95 ref subst 700 ref nil 77 ref 14599 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 14598 remove nil cons cons nil cons nil cons cons 95 ref subst 2844 ref nil 77 ref 14597 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 14596 remove nil cons 14601 def cons 347 ref 14594 ref nil cons 14602 def cons nil cons cons nil cons cons 14603 def 362 ref subst 14603 remove 412 ref subst nil 379 ref 14590 remove nil cons cons 381 ref 14595 remove nil cons cons nil cons cons nil cons cons 428 ref subst nil 379 ref 14592 remove nil cons cons 381 ref 14602 remove cons nil cons 14604 def cons nil cons cons 428 ref subst proveHyp eqMp nil 379 ref 14601 remove cons 14604 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 346 ref 24 ref 19 ref 700 ref 19 ref 2844 remove 23 ref 14591 remove 14593 remove 122 ref 1377 ref 963 ref appTerm appTerm 1377 remove 2866 remove appTerm appTerm appTerm appTerm appTerm 14594 remove appTerm absTerm appTerm absTerm appTerm appTerm 4995 remove 14567 remove appTerm appTerm nil cons cons 347 ref 14586 remove 14589 ref appTerm nil cons 14605 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 14572 remove 14573 remove nil cons cons nil cons cons 2796 remove 4928 remove 23 ref 24 ref 60 ref 66 remove 60 remove 2242 remove 23 ref 5857 remove 24 ref 4933 remove 2243 ref appTerm 4929 ref appTerm appTerm 2816 remove 3935 remove appTerm 3934 ref 2243 remove appTerm appTerm appTerm appTerm appTerm 2245 remove appTerm absTerm appTerm absTerm appTerm appTerm 5035 remove appTerm appTerm 122 ref 4558 remove 0 remove 14574 remove 91 remove cons opType constTerm 14575 remove appTerm appTerm 5895 remove appTerm appTerm absTerm 14606 def 4929 remove appTerm 14607 def betaConv 3933 remove 4940 remove 14606 ref appTerm 14608 def absTerm 14609 def 3934 remove appTerm 14610 def betaConv nil 4314 remove 14609 ref appTerm 14611 def axiom nil 346 ref 14611 remove nil cons cons 347 ref 14610 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4316 remove 4317 remove 14609 remove nil cons cons 4319 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14608 remove nil cons cons 347 ref 14607 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 4946 remove 4947 remove 14606 remove nil cons cons 4949 remove cons nil cons cons 414 ref subst eqMp eqMp subst subst eqMp nil 346 ref 14605 remove cons 347 ref 122 ref 14589 ref appTerm 2494 ref appTerm nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp 1519 ref 8449 remove 1442 ref 122 ref 4561 ref 5002 remove appTerm appTerm 1525 remove 135 ref appTerm 14612 def appTerm absTerm 14613 def 1447 ref appTerm 14614 def betaConv nil 19 ref 14613 ref appTerm 14615 def axiom nil 346 ref 14615 remove nil cons cons 347 ref 14614 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14613 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp subst appThm 10001 remove 1673 ref subst appThm nil 700 ref 10003 remove cons nil cons nil cons cons 2745 ref subst trans sym 81 ref eqMp eqMp eqMp 93 ref 90 ref 14588 ref nil cons cons 700 ref 14589 remove nil cons cons nil cons cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 14588 remove appTerm nil cons cons 14587 remove cons nil cons cons 403 ref subst proveHyp nil 5926 remove 2539 remove cons 14616 def 700 ref 14569 remove nil cons cons nil cons 14617 def cons nil cons cons 5979 ref subst eqMp eqMp eqMp 93 ref 90 ref 14565 ref nil cons cons 14617 remove cons nil cons cons 1157 ref subst proveHyp nil 346 ref 99 ref 14565 remove appTerm nil cons cons 347 ref 14563 remove 2494 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 14616 remove 700 ref 14556 remove nil cons cons nil cons cons nil cons cons 5979 remove subst eqMp appThm eqMp eqMp eqMp eqMp nil 5218 remove 381 ref 14544 ref cons nil cons 14618 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 5219 remove 14618 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 5220 remove 14543 ref appTerm absTerm appTerm nil cons cons 347 ref 5221 remove 14543 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 5222 remove 14618 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 14540 ref cons 14618 ref cons nil cons cons 395 ref subst deductAntisym eqMp nil 346 ref 14538 ref nil cons 14619 def cons 14545 ref cons nil cons cons 14620 def 362 ref subst 14620 remove 412 ref subst 5116 remove 14538 ref assume eqMp nil 5121 remove 14545 ref cons nil cons cons 403 ref subst proveHyp nil 90 ref 1055 ref 5126 remove 14543 ref appTerm 14621 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 1055 remove nil 77 ref 14621 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5129 remove 14545 ref cons nil cons cons 14622 def 362 ref subst 14622 remove 412 ref subst 5131 remove nil 5133 remove 14545 remove cons nil cons cons 14623 def 403 ref subst proveHyp 14623 ref 362 ref subst 14623 remove 412 ref subst 56 ref "_34331" 16 ref var 14624 def 56 ref 2018 ref 4561 ref 4564 ref 4565 ref 99 ref 1158 ref 14473 ref 1612 ref 130 ref 14624 remove varTerm appTerm 14625 def 1161 ref appTerm appTerm 1487 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm 1612 ref 14625 remove 1310 ref appTerm appTerm 1487 ref appTerm appTerm absTerm 14626 def 124 remove appTerm 14627 def appTerm refl 14626 ref 5117 ref appTerm betaConv appThm 383 ref 14627 remove betaConv appThm 56 ref 2018 remove 4561 remove 4564 remove 4565 ref 99 ref 1158 ref 14473 remove 1612 ref 130 ref 5117 remove appTerm 14628 def 1161 ref appTerm appTerm 1487 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm 1612 remove 14628 remove 1310 ref appTerm appTerm 1487 ref appTerm appTerm refl appThm trans 14626 remove refl 5136 remove appThm eqMp sym 383 ref 14536 ref 5098 ref 4957 ref 4565 ref 2071 ref 1158 ref 14537 ref 2012 ref nil 1980 ref 1444 remove cons 5135 ref cons nil cons cons 3053 ref subst appThm 5102 ref appThm nil 1442 ref 5137 ref 1161 ref appTerm nil cons cons 2164 ref cons nil cons cons 1442 ref 56 ref 1996 remove 1310 ref appTerm appTerm 2858 remove appTerm absTerm 14629 def 1447 ref appTerm 14630 def betaConv 1308 ref 19 ref 14629 ref appTerm 14631 def absTerm 14632 def 1310 ref appTerm 14633 def betaConv nil 19 ref 14632 ref appTerm 14634 def axiom nil 346 ref 14634 remove nil cons cons 347 ref 14633 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14632 remove nil cons cons 1316 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14631 remove nil cons cons 347 ref 14630 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14629 remove nil cons cons 1461 ref cons nil cons cons 414 ref subst eqMp eqMp 14635 def subst trans appThm absThm appThm absThm appThm appThm appThm appThm 2012 remove nil 1980 ref 1315 remove cons 5135 remove cons nil cons cons 3053 ref subst appThm 5102 remove appThm nil 1442 ref 5137 remove 1310 ref appTerm nil cons cons 2164 remove cons nil cons cons 14635 remove subst trans appThm sym 383 ref 14536 remove 5098 remove 4957 remove 4565 remove 2071 remove 1158 ref 14537 remove 1519 ref nil 1658 remove 3385 ref cons nil cons cons 2604 ref subst appThm 2788 ref appThm nil 1442 ref 1080 ref 1161 ref appTerm nil cons cons nil cons nil cons cons 4004 ref subst trans appThm nil 77 ref 14472 remove nil cons cons nil cons nil cons cons 5156 remove subst trans absThm appThm 5163 remove trans absThm appThm 5167 remove trans appThm 5168 remove trans appThm nil 1308 ref 2133 remove cons nil cons nil cons cons 5172 remove subst nil 10370 ref nil cons nil cons cons 4004 ref subst trans trans appThm 1519 ref nil 10370 remove 3385 remove cons nil cons cons 2604 remove subst appThm 2788 remove appThm nil 1442 ref 1080 remove 1310 ref appTerm nil cons cons nil cons nil cons cons 4004 remove subst trans appThm 5752 remove trans sym 81 ref eqMp eqMp eqMp eqMp nil 5177 remove 14618 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 5178 remove 14618 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 5179 remove 14543 ref appTerm absTerm appTerm nil cons cons 347 ref 5180 remove 14543 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 5181 remove 14618 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 379 ref 14619 ref cons 14636 def 14618 remove cons nil cons cons 395 ref subst deductAntisym eqMp 5223 ref 14538 remove appTerm 14637 def betaConv 5226 ref nil 5227 ref 347 ref 14637 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 ref 5228 ref 789 ref 14619 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 14636 remove 381 ref 14540 remove cons 2464 ref 14544 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp eqMp proveHyp eqMp eqMp eqMp nil 379 ref 14462 remove cons 381 ref 2268 ref cons nil cons 14638 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 346 ref 24 ref 10454 remove appTerm 14451 remove appTerm nil cons cons 347 ref 23 ref 10458 remove appTerm 2267 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 ref 2268 remove cons 347 ref 10457 remove nil cons cons 14450 remove nil cons cons cons nil cons cons 3428 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 4540 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 4538 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 23 ref 4124 remove 857 remove appTerm appTerm 2267 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 4125 remove appTerm 2267 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 4535 remove 14638 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 4059 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 4057 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 4053 ref 684 ref appTerm appTerm 2267 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 4054 remove appTerm 2267 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 4053 remove nil cons cons 14638 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp nil 379 ref 4038 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 4036 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 23 ref 4032 ref 684 remove appTerm appTerm 2267 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 4033 remove appTerm 2267 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 4032 remove nil cons cons 14638 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 379 ref 3953 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3948 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 7 ref 3918 remove constTerm "x" 3916 remove var 14639 def 23 ref 3940 ref 14639 remove varTerm appTerm appTerm 2267 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 3941 remove appTerm 2267 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 3947 remove 3942 remove 3940 remove nil cons cons 14638 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 379 ref 3853 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 3851 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 7 remove 3847 remove constTerm 3846 ref 23 ref 2696 remove 3846 remove varTerm appTerm appTerm 2267 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 3848 remove appTerm 2267 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 3842 remove 3845 remove 14638 ref cons nil cons cons 893 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 2278 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 2276 remove cons 14638 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 10429 remove 10430 remove 23 ref 2260 ref 10431 remove appTerm appTerm 2267 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 2261 remove appTerm 2267 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 2273 remove 2270 remove 2260 remove nil cons cons 14638 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp eqMp nil 379 ref 1966 remove cons 381 ref 2179 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 379 ref 2176 remove cons 381 ref 2177 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 1963 ref 381 ref 2174 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 13321 ref 381 ref 2172 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 2098 remove cons 381 ref 2090 remove cons nil cons 14640 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 379 ref 2094 remove cons 14640 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 23 ref 2086 ref 963 remove appTerm appTerm 2089 ref appTerm absTerm appTerm nil cons cons 347 ref 23 ref 2087 remove appTerm 2089 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2086 remove nil cons cons 14640 remove cons nil cons cons 893 ref subst eqMp eqMp proveHyp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 ref 1959 remove cons 381 ref 1960 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp proveHyp eqMp nil 13321 ref 381 ref 1925 ref cons nil cons 14641 def cons nil cons cons 395 ref subst deductAntisym eqMp nil 11644 ref 1931 remove cons nil cons cons 14642 def 362 ref subst 14642 remove 412 ref subst 56 ref "_33991" 16 ref var 14643 def 23 ref 24 ref 19 ref 1158 ref 23 ref 1622 ref 14643 remove varTerm 14644 def appTerm appTerm 1878 ref appTerm absTerm appTerm appTerm 1904 ref appTerm appTerm 56 ref 39 ref 1062 ref 14644 ref appTerm appTerm appTerm 1908 ref 14644 remove appTerm appTerm appTerm absTerm 14645 def 1487 ref appTerm 14646 def appTerm refl 14645 remove 134 ref appTerm betaConv appThm 383 ref 14646 remove betaConv appThm 23 ref 24 ref 5317 ref appTerm 1904 ref appTerm 14647 def appTerm 56 ref 39 ref 1301 remove appTerm appTerm 14648 def 1908 ref 134 ref appTerm appTerm 14649 def appTerm refl appThm trans 1912 remove refl 11875 ref appThm eqMp sym nil 346 ref 14647 remove nil cons 14650 def cons 347 ref 14649 remove nil cons 14651 def cons nil cons 14652 def cons nil cons cons 14653 def 362 ref subst 14653 remove 412 ref subst nil 5517 remove 381 ref 1904 remove nil cons cons nil cons cons nil cons cons 14654 def 395 ref subst 14654 remove 428 ref subst nil 379 ref 1902 ref nil cons cons 14655 def 1967 remove cons nil cons cons 428 ref subst 5434 remove nil 346 ref 23 ref 2752 remove 134 ref appTerm appTerm 2756 remove appTerm nil cons cons 14656 def 14652 remove cons nil cons cons 403 ref subst proveHyp 96 ref 5429 remove appThm 14657 def 383 ref 14128 ref 1318 remove appThm appThm 14658 def 1951 ref 2729 remove subst appThm 841 remove 826 remove subst 14659 def trans appThm sym nil 2100 remove 347 ref 23 ref 30 remove appTerm 41 remove appTerm 14660 def nil cons 14661 def cons nil cons 14662 def cons nil cons cons 403 ref subst 10486 remove 14660 ref refl appThm sym nil 90 ref 100 ref 430 remove 14660 ref appTerm 14663 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 100 remove nil 77 ref 14663 remove nil cons cons nil cons nil cons cons 82 ref subst nil 433 remove 14662 ref cons nil cons cons 14664 def 362 ref subst 14664 remove 412 ref subst 435 remove nil 436 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 102 ref 438 remove 14660 ref appTerm 14665 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 102 remove nil 77 ref 14665 remove nil cons cons nil cons nil cons cons 82 ref subst nil 441 remove 14662 ref cons nil cons cons 14666 def 362 ref subst 14666 remove 412 ref subst 443 remove nil 444 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 103 ref 446 remove 14660 ref appTerm 14667 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 103 remove nil 77 ref 14667 remove nil cons cons nil cons nil cons cons 82 ref subst nil 449 remove 14662 ref cons nil cons cons 14668 def 362 ref subst 14668 remove 412 ref subst 451 remove nil 452 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 104 ref 454 remove 14660 ref appTerm 14669 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 104 remove nil 77 ref 14669 remove nil cons cons nil cons nil cons cons 82 ref subst nil 457 remove 14662 ref cons nil cons cons 14670 def 362 ref subst 14670 remove 412 ref subst 459 remove nil 460 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 105 ref 462 remove 14660 ref appTerm 14671 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 105 remove nil 77 ref 14671 remove nil cons cons nil cons nil cons cons 82 ref subst nil 465 remove 14662 ref cons nil cons cons 14672 def 362 ref subst 14672 remove 412 ref subst 467 remove nil 468 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 106 ref 470 remove 14660 ref appTerm 14673 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 106 remove nil 77 ref 14673 remove nil cons cons nil cons nil cons cons 82 ref subst nil 473 remove 14662 ref cons nil cons cons 14674 def 362 ref subst 14674 remove 412 ref subst 475 remove nil 476 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 107 ref 478 remove 14660 ref appTerm 14675 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 107 remove nil 77 ref 14675 remove nil cons cons nil cons nil cons cons 82 ref subst nil 481 remove 14662 ref cons nil cons cons 14676 def 362 ref subst 14676 remove 412 ref subst 483 remove nil 484 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 109 ref 486 remove 14660 ref appTerm 14677 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 109 remove nil 77 ref 14677 remove nil cons cons nil cons nil cons cons 82 ref subst nil 489 remove 14662 ref cons nil cons cons 14678 def 362 ref subst 14678 remove 412 ref subst 491 remove nil 492 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 110 ref 494 remove 14660 ref appTerm 14679 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 110 remove nil 77 ref 14679 remove nil cons cons nil cons nil cons cons 82 ref subst nil 497 remove 14662 ref cons nil cons cons 14680 def 362 ref subst 14680 remove 412 ref subst 499 remove nil 500 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 111 ref 502 remove 14660 ref appTerm 14681 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 111 remove nil 77 ref 14681 remove nil cons cons nil cons nil cons cons 82 ref subst nil 505 remove 14662 ref cons nil cons cons 14682 def 362 ref subst 14682 remove 412 ref subst 507 remove nil 508 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 112 ref 510 remove 14660 ref appTerm 14683 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 112 remove nil 77 ref 14683 remove nil cons cons nil cons nil cons cons 82 ref subst nil 513 remove 14662 ref cons nil cons cons 14684 def 362 ref subst 14684 remove 412 ref subst 515 remove nil 516 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 113 ref 518 remove 14660 ref appTerm 14685 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 113 remove nil 77 ref 14685 remove nil cons cons nil cons nil cons cons 82 ref subst nil 521 remove 14662 ref cons nil cons cons 14686 def 362 ref subst 14686 remove 412 ref subst 523 remove nil 524 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 114 ref 526 remove 14660 ref appTerm 14687 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 114 remove nil 77 ref 14687 remove nil cons cons nil cons nil cons cons 82 ref subst nil 529 remove 14662 ref cons nil cons cons 14688 def 362 ref subst 14688 remove 412 ref subst 531 remove nil 532 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 115 ref 534 remove 14660 ref appTerm 14689 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 115 remove nil 77 ref 14689 remove nil cons cons nil cons nil cons cons 82 ref subst nil 537 remove 14662 ref cons nil cons cons 14690 def 362 ref subst 14690 remove 412 ref subst 539 remove nil 540 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 116 ref 542 remove 14660 ref appTerm 14691 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 116 remove nil 77 ref 14691 remove nil cons cons nil cons nil cons cons 82 ref subst nil 545 remove 14662 ref cons nil cons cons 14692 def 362 ref subst 14692 remove 412 ref subst 547 remove nil 548 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 117 ref 550 remove 14660 ref appTerm 14693 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 117 remove nil 77 ref 14693 remove nil cons cons nil cons nil cons cons 82 ref subst nil 553 remove 14662 ref cons nil cons cons 14694 def 362 ref subst 14694 remove 412 ref subst 555 remove nil 556 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 118 ref 558 remove 14660 ref appTerm 14695 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 118 remove nil 77 ref 14695 remove nil cons cons nil cons nil cons cons 82 ref subst nil 561 remove 14662 ref cons nil cons cons 14696 def 362 ref subst 14696 remove 412 ref subst 563 remove nil 564 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 5 ref 119 ref 566 remove 14660 ref appTerm 14697 def absTerm nil cons cons nil cons nil cons cons 76 ref subst 119 remove nil 77 ref 14697 remove nil cons cons nil cons nil cons cons 82 ref subst nil 569 remove 14662 ref cons nil cons cons 14698 def 362 ref subst 14698 remove 412 ref subst 571 remove nil 572 remove 14662 ref cons nil cons cons 403 ref subst proveHyp nil 83 ref 120 ref 574 remove 14660 ref appTerm 14699 def absTerm nil cons cons nil cons nil cons cons 87 ref subst 120 remove nil 77 ref 14699 remove nil cons cons nil cons nil cons cons 82 ref subst nil 577 remove 14662 ref cons nil cons cons 14700 def 362 ref subst 14700 remove 412 ref subst 579 remove nil 581 remove 14662 remove cons nil cons cons 14701 def 403 ref subst proveHyp 14701 ref 362 ref subst 14701 remove 412 ref subst 585 remove 587 remove 590 remove 592 remove 595 remove 597 remove 600 remove 603 remove 606 remove 610 remove 614 remove 618 remove 621 remove 625 remove 629 remove 632 remove 635 remove 638 remove 642 remove 645 remove 648 remove 652 remove 656 remove 657 remove 660 remove nil 3982 remove 422 ref cons nil cons cons 14702 def 362 ref subst 14702 remove 412 ref subst 853 remove eqMp nil 425 remove 855 remove cons nil cons cons 395 ref subst deductAntisym eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 854 remove 381 ref 14661 remove cons nil cons 14703 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 856 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 858 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 859 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 860 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 894 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 895 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 896 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 897 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 898 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 899 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 900 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 901 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 902 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 903 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 904 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 905 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 906 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 907 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 908 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 909 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 910 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 911 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 912 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 913 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 914 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 915 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 916 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 917 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 918 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 919 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 920 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 921 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 922 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 923 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 924 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 925 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 926 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 927 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 928 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 929 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 930 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 931 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 932 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 933 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 934 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 ref 404 ref 935 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 936 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 937 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 938 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 939 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 940 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 941 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 942 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 943 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 944 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 945 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 946 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 947 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 948 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 949 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 950 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 951 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 952 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 953 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 954 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 ref 955 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 956 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 ref 957 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 958 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 11 ref 415 remove 959 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 960 remove 14660 ref appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 85 remove 961 remove 14703 ref cons nil cons cons 893 ref subst eqMp eqMp eqMp nil 962 remove 14703 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 ref 964 remove 14660 ref appTerm absTerm appTerm nil cons cons 347 ref 965 remove 14660 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 966 remove 14703 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 379 ref 14650 remove cons 381 ref 14651 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 12144 ref 14641 remove cons nil cons cons 395 ref subst deductAntisym eqMp 5223 remove 1927 remove appTerm 14704 def betaConv 5226 remove nil 5227 remove 347 ref 14704 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 787 remove 5228 remove 789 remove 11642 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp 14705 def nil 12144 ref 381 ref 1929 remove cons 14706 def 2464 ref 1925 remove cons nil cons cons cons nil cons cons 2470 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 14707 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 19 ref 1922 remove appTerm thm nil 90 ref 1442 ref 14 ref 6 ref 11 remove 12 ref 14 ref 15 ref 19 ref 20 ref 19 ref 1486 ref 23 ref 1882 ref 1903 ref 968 ref appTerm 14708 def appTerm 14709 def appTerm 1907 remove 1926 remove 14612 ref appTerm appTerm 14710 def appTerm 14711 def absTerm 14712 def appTerm 14713 def absTerm 14714 def appTerm 14715 def absTerm 14716 def appTerm 14717 def absTerm 14718 def appTerm 14719 def absTerm 14720 def appTerm 14721 def absTerm 14722 def nil cons cons nil cons nil cons cons 95 ref subst 1442 ref nil 77 ref 14721 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 14720 remove nil cons cons nil cons nil cons cons 76 ref subst 6 remove nil 77 ref 14719 remove nil cons cons nil cons nil cons cons 82 ref subst nil 83 remove 14718 remove nil cons cons nil cons nil cons cons 87 remove subst 12 remove nil 77 ref 14717 remove nil cons cons nil cons nil cons cons 82 ref subst nil 5 ref 14716 remove nil cons cons nil cons nil cons cons 76 ref subst 15 remove nil 77 ref 14715 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 14714 remove nil cons cons nil cons nil cons cons 95 ref subst 20 ref nil 77 ref 14713 remove nil cons cons nil cons nil cons cons 82 ref subst nil 90 ref 14712 remove nil cons cons nil cons nil cons cons 95 ref subst 1486 ref nil 77 ref 14711 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 14709 remove nil cons 14723 def cons 347 ref 14710 ref nil cons 14724 def cons nil cons 14725 def cons nil cons cons 14726 def 362 ref subst 14726 remove 412 ref subst nil 1963 remove 381 ref 14708 remove nil cons cons nil cons cons nil cons cons 14727 def 395 ref subst 14727 remove 428 ref subst nil 14655 remove 381 ref 968 ref nil cons 14728 def cons nil cons cons nil cons cons 14729 def 395 ref subst 14729 remove 428 remove subst nil 1930 remove 14725 ref cons nil cons cons 14730 def 362 ref subst 14730 remove 412 ref subst 12150 remove nil 12153 remove 14725 ref cons nil cons cons 403 ref subst proveHyp 12155 remove 14710 ref refl appThm sym nil 90 ref 12157 ref 12160 remove 14710 ref appTerm 14731 def absTerm nil cons cons nil cons nil cons cons 95 ref subst 12157 remove nil 77 ref 14731 remove nil cons cons nil cons nil cons cons 82 ref subst nil 12163 remove 14725 ref cons nil cons cons 14732 def 362 ref subst 14732 remove 412 ref subst 12165 remove nil 12169 remove 14725 ref cons nil cons cons 14733 def 403 ref subst proveHyp 14733 ref 362 ref subst 14733 remove 412 ref subst 56 ref "_40109" 16 ref var 14734 def 56 ref 39 ref 1062 ref 14734 remove varTerm 14735 def appTerm appTerm appTerm 122 ref 14735 remove appTerm 14612 ref appTerm appTerm absTerm 14736 def 1487 ref appTerm 14737 def appTerm refl 14738 def 14736 ref 12166 ref appTerm betaConv appThm 383 ref 14737 remove betaConv appThm 14739 def 56 ref 39 ref 1062 ref 12166 ref appTerm 14740 def appTerm appTerm 122 ref 12166 ref appTerm 14612 ref appTerm appTerm refl appThm trans 14736 remove refl 14741 def 12424 ref appThm eqMp sym 383 ref 14128 ref 3249 remove nil 1308 remove 12409 remove cons nil cons 14742 def nil cons cons 14743 def 1673 remove subst 14744 def appThm 14745 def appThm appThm 1519 ref 14744 ref appThm 14612 ref refl appThm nil 7277 ref 14742 remove cons nil cons cons 2161 remove subst trans appThm sym 996 remove 968 remove assume 14746 def eqMp nil 1001 remove 347 ref 56 ref 39 ref 1062 ref 130 ref 12158 ref appTerm 135 ref appTerm 14747 def appTerm 14748 def appTerm 14749 def appTerm 14750 def 12616 remove 1447 ref appTerm 14751 def appTerm 14752 def nil cons 14753 def cons nil cons 14754 def cons nil cons cons 403 ref subst proveHyp nil 5 ref 978 ref 1003 remove 14752 ref appTerm 14755 def absTerm nil cons cons nil cons nil cons cons 76 remove subst 978 remove nil 77 ref 14755 remove nil cons cons nil cons nil cons cons 82 ref subst nil 1006 remove 14754 ref cons nil cons cons 14756 def 362 ref subst 14756 remove 412 ref subst 1008 remove nil 1010 remove 14754 ref cons nil cons cons 14757 def 403 ref subst proveHyp 14757 ref 362 ref subst 14757 remove 412 ref subst 1015 remove 1016 remove 20 ref 23 ref 983 remove appTerm 14758 def 56 ref 39 ref 1791 ref appTerm appTerm 24 ref 1020 remove appTerm 1019 ref 1791 ref appTerm appTerm 14759 def appTerm appTerm absTerm 14760 def 1062 ref 12158 ref appTerm 14761 def appTerm 14762 def betaConv 677 ref 19 ref 20 ref 23 ref 1039 remove appTerm 1792 ref 14759 remove appTerm appTerm absTerm appTerm absTerm 14763 def 36 remove appTerm 14764 def betaConv 404 ref 14 ref 677 remove 19 ref 20 ref 23 ref 1043 remove appTerm 1792 remove 24 ref 1044 remove appTerm 688 remove 1791 remove appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 14765 def 979 ref appTerm 14766 def betaConv nil 14 ref 14765 ref appTerm 14767 def axiom nil 346 ref 14767 remove nil cons cons 347 ref 14766 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 ref 14765 remove nil cons cons 1035 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14 ref 14763 ref appTerm nil cons cons 347 ref 14764 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 5 remove 14763 remove nil cons cons 417 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 14760 ref appTerm nil cons cons 347 ref 14762 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14760 remove nil cons cons 700 ref 14761 ref nil cons cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 14758 remove 56 ref 39 ref 130 remove 14761 ref appTerm 135 remove appTerm 14768 def appTerm appTerm 24 ref 38 ref 1019 ref 14761 remove appTerm 14769 def appTerm appTerm 14770 def 1019 ref 14768 remove appTerm appTerm appTerm appTerm nil cons cons 14754 ref cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1018 remove appThm 383 ref 14128 remove nil 7277 remove 12589 ref 1309 remove cons cons nil cons cons 3053 remove subst 14771 def appThm appThm 14770 ref refl 1019 ref refl 14772 def 14771 remove appThm appThm appThm appThm nil 77 ref 14750 remove 14770 remove 1019 ref 14748 remove appTerm 14773 def appTerm 14774 def appTerm 14775 def nil cons 14776 def cons nil cons nil cons cons 833 ref subst trans appThm 14752 ref refl appThm sym nil 346 ref 14776 ref cons 14754 remove cons nil cons cons 14777 def 362 ref subst 14777 remove 412 ref subst 56 ref "_40117" 2 ref var 14778 def 56 ref 14778 remove varTerm appTerm 14751 ref appTerm absTerm 14779 def 14749 remove appTerm 14780 def appTerm refl 14779 ref 14774 ref appTerm betaConv appThm 383 ref 14780 remove betaConv appThm 56 ref 14774 remove appTerm 14751 ref appTerm 14781 def refl appThm trans 14779 remove refl 14775 remove assume appThm eqMp sym 1486 remove 23 ref 1882 remove 1903 remove 980 remove appTerm 14782 def appTerm appTerm 56 ref 1019 ref 1905 remove appTerm appTerm 1909 remove appTerm appTerm absTerm 14783 def 12158 ref appTerm 14784 def betaConv 20 remove 19 ref 14783 ref appTerm 14785 def absTerm 14786 def 29 remove appTerm 14787 def betaConv 1916 remove 979 remove appTerm 14788 def betaConv 14707 remove nil 346 ref 1923 remove cons 347 ref 14788 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 ref 1924 remove 1035 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 19 ref 14786 ref appTerm nil cons cons 347 ref 14787 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14786 remove nil cons cons 702 remove cons nil cons cons 414 ref subst eqMp eqMp 14789 def nil 346 ref 14785 remove nil cons cons 14790 def 347 ref 14784 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14783 ref nil cons cons 14791 def 12410 ref cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 24 ref 19 ref 1158 ref 23 ref 1622 ref 12158 ref appTerm 14792 def appTerm 1878 ref appTerm 14793 def absTerm 14794 def appTerm 14795 def appTerm 14796 def 14782 ref appTerm 14797 def appTerm 56 ref 14769 ref appTerm 1908 ref 12158 ref appTerm 14798 def appTerm 14799 def appTerm 14800 def nil cons cons 347 ref 14781 ref nil cons 14801 def cons nil cons 14802 def cons nil cons cons 403 ref subst proveHyp 14796 remove refl 1017 ref 1519 remove 1902 remove assume appThm 2149 remove appThm nil 700 ref 1901 remove nil cons cons nil cons nil cons cons 2745 remove subst trans appThm 1027 remove appThm 1030 ref trans 14803 def appThm nil 77 ref 14795 remove nil cons cons nil cons nil cons cons 1690 ref subst trans sym nil 90 ref 14794 remove nil cons cons nil cons nil cons cons 95 remove subst 1158 ref nil 77 ref 14793 remove nil cons cons nil cons nil cons cons 82 ref subst nil 346 ref 14792 ref nil cons 14804 def cons 5558 ref cons nil cons cons 14805 def 362 ref subst 14805 remove 412 ref subst 1442 remove 4987 remove 1985 remove 12166 ref appTerm appTerm absTerm 14806 def 12158 remove appTerm betaConv sym 1017 ref nil 77 ref 14804 ref cons nil cons nil cons cons 82 ref subst 14792 remove assume eqMp appThm 12590 remove 5566 remove subst appThm 1030 ref trans sym 81 ref eqMp eqMp 93 ref 90 ref 14806 ref nil cons cons 12410 remove cons nil cons cons 1157 remove subst proveHyp nil 346 ref 99 remove 14806 remove appTerm nil cons cons 347 ref 1622 ref 12166 ref appTerm 14807 def nil cons 14808 def cons nil cons cons nil cons cons 403 ref subst proveHyp nil 1980 remove 12586 ref cons 1445 remove cons nil cons cons 3755 remove subst eqMp nil 346 ref 14808 remove cons 5558 remove cons nil cons cons 403 ref subst proveHyp 1158 ref 23 ref 14807 remove appTerm 1878 ref appTerm 14809 def absTerm 14810 def 1161 remove appTerm 14811 def betaConv 56 ref "_40111" 16 ref var 14812 def 19 ref 1158 ref 23 ref 1622 ref 14812 remove varTerm appTerm appTerm 1878 ref appTerm absTerm appTerm absTerm 14813 def 1487 remove appTerm 14814 def appTerm refl 14815 def 14813 ref 12166 ref appTerm betaConv appThm 383 ref 14814 remove betaConv appThm 14816 def 19 ref 14810 ref appTerm 14817 def refl appThm trans 14813 remove refl 14818 def 12424 remove appThm eqMp 1881 remove assume 14819 def eqMp nil 346 ref 14817 ref nil cons cons 347 ref 14811 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 14810 remove nil cons cons 1510 remove cons nil cons cons 414 ref subst eqMp eqMp 14820 def eqMp eqMp nil 379 ref 14804 remove cons 5571 remove cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 346 ref 14797 ref nil cons cons 14821 def 347 ref 23 ref 14799 ref appTerm 14781 ref appTerm 14822 def nil cons cons nil cons cons nil cons cons 412 ref subst proveHyp nil 346 ref 14799 ref nil cons 14823 def cons 14802 remove cons nil cons cons 14824 def 362 ref subst 14824 remove 412 ref subst 56 ref "_40119" 2 ref var 14825 def 56 ref 24 ref 38 ref 14825 remove varTerm appTerm appTerm 14773 ref appTerm appTerm 14751 ref appTerm absTerm 14826 def 14769 remove appTerm 14827 def appTerm refl 14826 ref 14798 ref appTerm betaConv appThm 383 ref 14827 remove betaConv appThm 56 ref 24 ref 38 remove 14798 remove appTerm appTerm 14828 def 14773 ref appTerm appTerm 14751 ref appTerm 14829 def refl 14830 def appThm trans 14826 remove refl 14799 remove assume appThm eqMp sym 14783 remove 12166 ref appTerm 14831 def betaConv 14789 remove nil 14790 remove 347 ref 14831 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 14791 remove 700 ref 12586 remove cons nil cons cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 23 ref 24 ref 14817 remove appTerm 14782 remove appTerm appTerm 56 ref 1019 remove 14740 remove appTerm appTerm 1908 ref 12166 remove appTerm appTerm 14832 def appTerm nil cons cons 347 ref 14829 remove nil cons 14833 def cons nil cons 14834 def cons nil cons cons 403 ref subst proveHyp 96 ref 96 ref 1017 ref 1432 remove 1158 ref nil 77 ref 14809 remove nil cons cons nil cons nil cons cons 82 ref subst 14820 remove eqMp absThm appThm 2342 remove trans appThm 14803 remove appThm 1030 remove trans appThm 14832 ref refl appThm nil 77 ref 14832 remove nil cons cons nil cons nil cons cons 833 remove subst trans appThm 14830 ref appThm sym 96 remove 383 ref 14772 remove 14745 remove appThm appThm 1908 ref refl 14835 def 14744 remove appThm appThm appThm 14830 remove appThm sym nil 346 ref 56 ref 14773 ref appTerm 1908 remove 14747 remove appTerm 14836 def appTerm 14837 def nil cons 14838 def cons 14834 remove cons nil cons cons 14839 def 362 ref subst 14839 remove 412 ref subst 56 ref "_40121" 2 remove var 14840 def 56 ref 14828 ref 14840 remove varTerm appTerm appTerm 14751 ref appTerm absTerm 14841 def 14773 remove appTerm 14842 def appTerm refl 14841 ref 14836 ref appTerm betaConv appThm 383 remove 14842 remove betaConv appThm 56 ref 14828 remove 14836 remove appTerm appTerm 14751 remove appTerm refl appThm trans 14841 remove refl 14837 remove assume appThm eqMp sym 1017 remove nil 12589 remove 1950 remove cons nil cons cons 14843 def 3478 remove subst appThm 14835 remove 14743 ref 1439 ref subst appThm 14843 remove 1621 remove subst trans appThm 14743 remove 2632 ref 1447 remove appTerm 14844 def betaConv 2634 ref 1310 remove appTerm 14845 def betaConv 2636 remove nil 346 ref 2635 remove nil cons cons 347 ref 14845 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 ref 2634 remove nil cons cons 1316 remove cons nil cons cons 414 ref subst eqMp eqMp nil 346 ref 2633 remove nil cons cons 347 ref 14844 remove nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 ref 90 remove 2632 remove nil cons cons 1461 remove cons nil cons cons 414 remove subst eqMp eqMp subst trans eqMp eqMp nil 379 ref 14838 remove cons 381 ref 14833 remove cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 379 ref 14823 ref cons 381 ref 14801 ref cons nil cons cons nil cons cons 395 ref subst deductAntisym eqMp eqMp nil 346 ref 24 remove 14797 remove appTerm 14822 remove appTerm nil cons cons 347 ref 23 ref 14800 remove appTerm 14781 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp nil 2426 remove 14801 remove cons 347 ref 14823 remove cons 14821 remove nil cons cons cons nil cons cons 3428 remove subst eqMp eqMp eqMp eqMp nil 379 ref 14776 remove cons 381 ref 14753 remove cons nil cons 14846 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 1048 remove 14846 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 1049 remove 14846 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 14 remove 404 remove 1050 remove 14752 ref appTerm absTerm appTerm nil cons cons 347 ref 1051 remove 14752 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 52 remove 1052 remove 14846 remove cons nil cons cons 893 ref subst eqMp eqMp eqMp eqMp eqMp nil 13316 remove 381 remove 14724 ref cons nil cons 14847 def cons nil cons cons 395 ref subst deductAntisym eqMp eqMp eqMp nil 13317 remove 14847 ref cons nil cons cons 395 ref subst deductAntisym eqMp eqMp absThm eqMp nil 346 ref 19 ref 700 remove 13318 remove 14710 ref appTerm absTerm appTerm nil cons cons 347 ref 13319 remove 14710 remove appTerm nil cons cons nil cons cons nil cons cons 403 ref subst proveHyp 93 remove 13320 remove 14847 ref cons nil cons cons 893 remove subst eqMp eqMp eqMp eqMp nil 13321 remove 14847 ref cons nil cons cons 395 ref subst deductAntisym eqMp nil 11644 remove 14725 remove cons nil cons cons 14848 def 362 remove subst 14848 remove 412 remove subst 14738 remove "_40101" 16 ref var 14849 def 56 remove 39 remove 1062 remove 14849 remove varTerm 14850 def appTerm appTerm appTerm 122 remove 14850 remove appTerm 14612 ref appTerm appTerm absTerm 134 ref appTerm betaConv appThm 14739 remove 14648 remove 2754 ref 14612 remove appTerm appTerm refl appThm trans 14741 remove 11875 ref appThm eqMp sym 14658 remove 2754 remove refl 1951 remove 1439 remove subst appThm 11513 remove trans appThm 14659 remove trans sym 5431 remove 14815 remove "_40103" 16 remove var 14851 def 19 ref 1158 remove 23 remove 1622 remove 14851 remove varTerm appTerm appTerm 1878 remove appTerm absTerm appTerm absTerm 134 remove appTerm betaConv appThm 14816 remove 5317 remove refl appThm trans 14818 remove 11875 remove appThm eqMp 14819 remove eqMp 5432 remove proveHyp 5433 remove eqMp eqMp nil 14656 remove 347 remove 969 remove nil cons 14852 def cons nil cons cons nil cons cons 403 ref subst proveHyp 14657 remove 97 remove nil 77 remove 14728 remove cons nil cons nil cons cons 82 remove subst 14746 remove eqMp appThm 754 remove 1690 remove subst trans appThm 2768 remove trans sym 81 remove eqMp eqMp nil 346 remove 14852 remove cons 422 remove cons nil cons cons 403 remove subst proveHyp 1053 remove eqMp eqMp eqMp eqMp nil 12144 ref 14847 ref cons nil cons cons 395 ref subst deductAntisym eqMp 14705 remove nil 12144 remove 14706 remove 2464 remove 14724 remove cons nil cons cons cons nil cons cons 2470 remove subst proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 379 remove 14723 remove cons 14847 remove cons nil cons cons 395 remove subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 19 remove 14722 remove appTerm thm 10443 remove nil 10444 remove thm