path: "vendor/opentheory/data/theories/relation-natural-thm/relation-natural-thm.art"
6 version "s" "->" typeOp 0 def "Number.Natural.natural" typeOp nil opType 1 def 0 ref 1 ref "bool" typeOp nil opType 2 def nil cons 3 def cons opType 4 def nil cons 5 def cons opType 6 def var 7 def "Data.Bool./\\" const 0 ref 2 ref 0 ref 2 ref 3 ref cons opType 8 def nil cons cons opType 9 def constTerm 10 def "Relation.subrelation" const 11 def 0 ref 6 ref 0 ref 6 ref 3 ref cons opType 12 def nil cons cons opType 13 def constTerm 14 def "Number.Natural.isSuc" const 6 ref constTerm 15 def appTerm 16 def 7 ref varTerm 17 def appTerm appTerm 18 def "Relation.wellFounded" const 19 def 12 ref constTerm 20 def 17 ref appTerm appTerm absTerm 21 def "Number.Natural.<" const 6 ref constTerm 22 def appTerm betaConv sym 10 ref refl 23 def nil "t" 2 ref var 24 def 16 ref 22 ref appTerm 25 def nil cons cons nil cons nil cons cons "=" const 26 def 9 ref constTerm 27 def 24 ref varTerm 28 def appTerm 29 def "Data.Bool.T" const 2 ref constTerm 30 def appTerm 31 def assume sym nil 30 ref axiom 32 def eqMp 28 ref assume 32 ref deductAntisym deductAntisym 33 def subst nil 7 ref 22 ref nil cons 34 def cons 35 def "r" 6 ref var 36 def 15 ref nil cons cons nil cons 37 def cons nil cons cons 38 def "A" 1 ref nil cons 39 def cons 40 def "B" 39 ref cons 41 def nil cons 42 def cons nil nil cons 43 def cons 44 def "s" 0 ref "A" varType 45 def 0 ref "B" varType 46 def 3 ref cons opType 47 def nil cons 48 def cons opType 49 def var 50 def 27 ref 11 ref 0 ref 49 ref 0 ref 49 ref 3 ref cons opType 51 def nil cons 52 def cons opType 53 def constTerm 54 def "r" 49 ref var 55 def varTerm 56 def appTerm 57 def 50 ref varTerm 58 def appTerm 59 def appTerm "Data.Bool.!" const 60 def 0 ref 0 ref 45 ref 3 ref cons opType 61 def 3 ref cons opType 62 def constTerm 63 def "x" 45 ref var 64 def 60 ref 0 ref 47 ref 3 ref cons opType 65 def constTerm 66 def "y" 46 ref var 67 def "Data.Bool.==>" const 9 ref constTerm 68 def 56 ref 64 ref varTerm 69 def appTerm 70 def 67 ref varTerm 71 def appTerm 72 def appTerm 58 ref 69 ref appTerm 73 def 71 ref appTerm 74 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 75 def 58 ref appTerm 76 def betaConv 55 ref 60 ref 0 ref 51 ref 3 ref cons opType 77 def constTerm 78 def 75 ref appTerm 79 def absTerm 80 def 56 ref appTerm 81 def betaConv nil 78 ref 80 ref appTerm 82 def axiom nil "p" 2 ref var 83 def 82 remove nil cons cons "q" 2 ref var 84 def 81 remove nil cons cons nil cons cons nil cons cons 27 ref 68 ref 83 ref varTerm 85 def appTerm 86 def 84 ref varTerm 87 def appTerm 88 def appTerm 89 def refl 83 ref 84 ref 27 ref 10 ref 85 ref appTerm 90 def 87 ref appTerm 91 def appTerm 92 def 85 ref appTerm absTerm 93 def absTerm 94 def 85 ref appTerm betaConv 87 ref refl 95 def appThm 93 remove 87 ref appTerm betaConv trans appThm nil 26 ref 0 ref 9 ref 0 ref 9 ref 3 ref cons opType 96 def nil cons cons opType constTerm 97 def 68 ref appTerm 94 remove appTerm axiom 85 ref refl 98 def appThm 95 ref appThm eqMp 99 def sym 100 def 92 remove refl 84 ref 26 ref 0 ref 96 ref 0 ref 96 remove 3 ref cons opType nil cons cons opType constTerm 101 def "f" 9 ref var 102 def 102 ref varTerm 103 def 85 ref appTerm 87 ref appTerm absTerm 104 def appTerm 102 ref 103 ref 30 ref appTerm 30 ref appTerm absTerm 105 def appTerm absTerm 106 def 87 ref appTerm betaConv appThm 26 ref 0 ref 8 ref 0 ref 8 ref 3 ref cons opType 107 def nil cons cons opType constTerm 108 def 90 ref appTerm refl 83 ref 106 remove absTerm 109 def 85 ref appTerm betaConv appThm nil 97 ref 10 ref appTerm 109 ref appTerm axiom 110 def 98 ref appThm eqMp 95 ref appThm eqMp 111 def sym 102 ref 103 ref refl nil 24 ref 85 ref nil cons 112 def cons nil cons nil cons cons 113 def 33 ref subst 85 ref assume 114 def eqMp appThm nil 24 ref 87 ref nil cons 115 def cons nil cons nil cons cons 116 def 33 ref subst 87 ref assume 117 def eqMp appThm absThm eqMp 118 def nil "P" 2 ref var 119 def 112 ref cons 120 def "Q" 2 ref var 121 def 115 ref cons nil cons 122 def cons nil cons cons 27 ref refl 123 def 102 ref 103 remove 119 ref varTerm 124 def appTerm 125 def 121 ref varTerm 126 def appTerm absTerm 127 def 83 ref 84 ref 85 ref absTerm absTerm 128 def appTerm betaConv 128 ref 124 ref appTerm betaConv 126 ref refl 129 def appThm 84 ref 124 ref absTerm 126 ref appTerm betaConv trans trans appThm 105 ref 128 ref appTerm betaConv 128 ref 30 ref appTerm betaConv 30 ref refl 130 def appThm 84 ref 30 ref absTerm 30 ref appTerm betaConv trans trans appThm 27 ref 10 ref 124 ref appTerm 131 def 126 ref appTerm 132 def appTerm refl 84 ref 101 remove 102 remove 125 remove 87 ref appTerm absTerm appTerm 105 ref appTerm absTerm 126 ref appTerm betaConv appThm 108 ref 131 remove appTerm refl 109 remove 124 ref appTerm betaConv appThm 110 remove 124 ref refl 133 def appThm eqMp 129 ref appThm eqMp 132 remove assume eqMp 134 def 128 remove refl appThm eqMp sym 32 ref eqMp 135 def subst 136 def deductAntisym eqMp 99 remove 88 ref assume 137 def eqMp sym 114 ref eqMp 123 ref 104 remove 83 ref 84 ref 87 ref absTerm 138 def absTerm 139 def appTerm betaConv 139 ref 85 ref appTerm betaConv 95 ref appThm 138 ref 87 ref appTerm betaConv trans trans appThm 105 remove 139 ref appTerm betaConv 139 ref 30 ref appTerm betaConv 130 remove appThm 138 ref 30 ref appTerm betaConv trans trans 140 def appThm 111 remove 91 ref assume eqMp 139 ref refl 141 def appThm eqMp sym 32 ref eqMp 142 def proveHyp 143 def deductAntisym 144 def subst proveHyp "A" 49 ref nil cons 145 def cons nil cons 146 def "P" 51 ref var 147 def 80 remove nil cons cons "x" 49 ref var 148 def 56 ref nil cons cons nil cons 149 def cons nil cons cons nil 83 ref 63 ref "P" 61 ref var 150 def varTerm 151 def appTerm 152 def nil cons 153 def cons 84 ref 151 ref 69 ref appTerm 154 def nil cons 155 def cons nil cons cons nil cons cons 156 def 100 ref subst 156 remove 142 remove 118 remove deductAntisym 157 def subst 27 ref 154 ref appTerm refl 64 ref 30 ref absTerm 158 def 69 ref appTerm 159 def betaConv 160 def appThm "p" 61 ref var 161 def 26 ref 0 ref 61 ref 62 ref nil cons cons opType constTerm 162 def 161 ref varTerm 163 def appTerm 164 def 158 ref appTerm 165 def absTerm 166 def 151 ref appTerm betaConv 167 def nil 26 ref 0 ref 62 ref 0 ref 62 ref 3 ref cons opType 168 def nil cons cons opType constTerm 169 def 63 ref appTerm 166 remove appTerm axiom 151 ref refl 170 def appThm 171 def 152 ref assume eqMp eqMp 69 ref refl 172 def appThm eqMp sym 32 ref eqMp eqMp nil 119 ref 153 remove cons 121 ref 155 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp 173 def subst eqMp eqMp nil 83 ref 79 remove nil cons cons 84 ref 76 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 147 ref 75 remove nil cons cons 148 ref 58 ref nil cons 174 def cons nil cons 175 def cons nil cons cons 173 ref subst eqMp eqMp subst 176 def subst 60 ref 0 ref 4 ref 3 ref cons opType 177 def constTerm 178 def refl 179 def "x" 1 ref var 180 def 179 ref "y" 1 ref var 181 def 68 ref refl 182 def nil "n" 1 ref var 183 def 181 ref varTerm 184 def nil cons 185 def cons 186 def "m" 1 ref var 187 def 180 ref varTerm 188 def nil cons 189 def cons 190 def nil cons 191 def cons nil cons cons 192 def 183 ref 27 ref 15 ref 187 ref varTerm 193 def appTerm 183 ref varTerm 194 def appTerm appTerm 26 ref 6 ref constTerm 195 def "Number.Natural.suc" const 0 ref 1 ref 39 ref cons opType 196 def constTerm 197 def 193 ref appTerm 198 def appTerm 194 ref appTerm appTerm absTerm 199 def 194 ref appTerm 200 def betaConv 187 ref 178 ref 199 ref appTerm 201 def absTerm 202 def 193 ref appTerm 203 def betaConv nil 178 ref 202 ref appTerm 204 def axiom nil 83 ref 204 remove nil cons cons 84 ref 203 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 40 ref nil cons 205 def "P" 4 ref var 206 def 202 remove nil cons cons 180 ref 193 ref nil cons 207 def cons nil cons 208 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 201 remove nil cons cons 84 ref 200 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 199 remove nil cons cons 180 ref 194 ref nil cons 209 def cons nil cons 210 def cons nil cons cons 173 ref subst eqMp eqMp 211 def subst appThm 212 def 22 ref 188 ref appTerm 213 def 184 ref appTerm 214 def refl appThm absThm appThm absThm appThm trans sym nil 206 ref 180 ref 178 ref 181 ref 68 ref 195 ref 197 ref 188 ref appTerm 215 def appTerm 184 ref appTerm 216 def appTerm 217 def 214 ref appTerm 218 def absTerm 219 def appTerm 220 def absTerm nil cons cons nil cons nil cons cons 205 ref 43 ref cons 221 def 27 ref 152 remove appTerm refl 167 remove appThm 171 remove eqMp sym 222 def subst 223 def subst 180 ref nil 24 ref 220 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 219 remove nil cons cons nil cons nil cons cons 223 ref subst 181 ref nil 24 ref 218 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 216 ref nil cons 224 def cons 225 def 84 ref 214 ref nil cons 226 def cons nil cons cons nil cons cons 227 def 100 ref subst 227 remove 157 ref subst 27 ref "_13350" 1 ref var 228 def 213 ref 228 remove varTerm appTerm absTerm 229 def 184 ref appTerm 230 def appTerm refl 229 ref 215 ref appTerm betaConv appThm 123 ref 230 remove betaConv appThm 213 ref 215 ref appTerm refl appThm trans 229 remove refl 216 remove assume sym 231 def appThm eqMp sym nil 183 ref 189 ref cons nil cons 232 def nil cons cons 233 def 183 ref 22 ref 194 ref appTerm 234 def 197 ref 194 ref appTerm 235 def appTerm 236 def absTerm 237 def 194 ref appTerm 238 def betaConv nil 178 ref 237 ref appTerm 239 def axiom nil 83 ref 239 remove nil cons cons 84 ref 238 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 237 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp 240 def subst eqMp eqMp nil 119 ref 224 remove cons 241 def 121 ref 226 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 242 def eqMp appThm 243 def nil 36 ref 34 ref cons nil cons 244 def nil cons cons 245 def 221 ref "r" 0 ref 45 ref 61 ref nil cons 246 def cons opType 247 def var 248 def 27 ref 19 ref 0 ref 247 ref 3 ref cons opType 249 def constTerm 250 def 248 ref varTerm 251 def appTerm 252 def appTerm 253 def 60 ref 168 ref constTerm 254 def 161 ref 68 ref 63 ref 64 ref 68 ref 63 ref "y" 45 ref var 255 def 68 ref 251 ref 255 ref varTerm 256 def appTerm 257 def 69 ref appTerm 258 def appTerm 259 def 163 ref 256 ref appTerm 260 def appTerm absTerm appTerm 261 def appTerm 262 def 163 ref 69 ref appTerm 263 def appTerm 264 def absTerm 265 def appTerm 266 def appTerm 63 ref 64 ref 263 ref absTerm 267 def appTerm 268 def appTerm 269 def absTerm 270 def appTerm 271 def appTerm absTerm 272 def 251 ref appTerm 273 def betaConv nil 60 ref 0 ref 249 ref 3 ref cons opType 274 def constTerm 275 def 272 ref appTerm 276 def axiom nil 83 ref 276 remove nil cons cons 84 ref 273 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 247 ref nil cons 277 def cons 278 def nil cons 279 def "P" 249 ref var 280 def 272 remove nil cons cons "x" 247 ref var 281 def 251 ref nil cons 282 def cons nil cons 283 def cons nil cons cons 173 ref subst eqMp eqMp 284 def subst subst 60 ref 0 ref 177 ref 3 ref cons opType constTerm 285 def refl 286 def "p" 4 ref var 287 def nil 24 ref 68 ref 178 ref 183 ref 68 ref 178 ref 187 ref 68 ref 22 ref 193 ref appTerm 288 def 194 ref appTerm 289 def appTerm 290 def 287 ref varTerm 291 def 193 ref appTerm 292 def appTerm absTerm appTerm appTerm 291 ref 194 ref appTerm 293 def appTerm absTerm appTerm appTerm 178 ref 183 ref 293 ref absTerm 294 def appTerm 295 def appTerm 296 def nil cons cons nil cons nil cons cons 33 ref subst 287 ref 296 remove absTerm 297 def 291 ref appTerm 298 def betaConv nil 285 ref 297 ref appTerm 299 def axiom nil 83 ref 299 remove nil cons cons 84 ref 298 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 5 ref cons nil cons 300 def "P" 177 ref var 301 def 297 remove nil cons cons "x" 4 ref var 302 def 291 ref nil cons 303 def cons nil cons 304 def cons nil cons cons 173 ref subst eqMp eqMp eqMp absThm appThm nil 24 ref 30 ref nil cons 305 def cons nil cons nil cons cons 306 def 300 ref 43 ref cons 307 def 24 ref 27 ref 63 ref 64 ref 28 ref absTerm 308 def appTerm appTerm 28 ref appTerm absTerm 309 def 28 ref appTerm 310 def betaConv nil 60 ref 107 remove constTerm 311 def 309 ref appTerm 312 def axiom nil 83 ref 312 remove nil cons cons 84 ref 310 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 3 ref cons nil cons 313 def "P" 8 ref var 314 def 309 remove nil cons cons "x" 2 ref var 315 def 28 ref nil cons 316 def cons nil cons 317 def cons nil cons cons 173 ref subst eqMp eqMp 318 def subst subst trans trans 319 def appThm 306 ref 24 ref 27 ref 10 ref 30 ref appTerm 320 def 28 ref appTerm appTerm 28 ref appTerm absTerm 321 def 28 ref appTerm 322 def betaConv nil 311 ref 321 ref appTerm 323 def axiom nil 83 ref 323 remove nil cons cons 84 ref 322 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 321 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 324 def subst 325 def trans sym 32 ref eqMp eqMp "A" 6 ref nil cons 326 def cons nil cons 327 def "P" 12 ref var 328 def 21 ref nil cons cons "x" 6 ref var 329 def 34 ref cons nil cons cons nil cons cons 27 ref "Data.Bool.?" const 330 def 62 ref constTerm 331 def 151 ref appTerm 332 def appTerm 333 def refl 161 ref 311 ref 84 ref 68 ref 63 ref 64 ref 68 ref 263 ref appTerm 334 def 87 ref appTerm absTerm appTerm 335 def appTerm 87 ref appTerm absTerm appTerm absTerm 336 def 151 ref appTerm betaConv appThm nil 169 ref 331 ref appTerm 337 def 336 remove appTerm axiom 170 ref appThm eqMp 338 def sym nil 314 ref 121 ref 68 ref 63 ref 64 ref 68 ref 154 ref appTerm 339 def 126 ref appTerm absTerm 340 def appTerm 341 def appTerm 126 ref appTerm 342 def absTerm nil cons cons nil cons nil cons cons 313 ref 43 ref cons 343 def 222 ref subst 344 def subst 345 def 121 ref nil 24 ref 342 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 341 remove nil cons 346 def cons 347 def 84 ref 126 ref nil cons 348 def cons nil cons 349 def cons nil cons cons 350 def 100 ref subst 350 ref 157 ref subst nil 83 ref 155 ref cons 351 def 349 ref cons nil cons cons 144 ref subst 340 ref 69 ref appTerm 352 def betaConv nil 347 ref 84 ref 352 remove nil cons cons nil cons cons nil cons cons 144 ref subst "A" 45 ref nil cons 353 def cons 354 def nil cons 355 def 150 ref 340 remove nil cons cons 64 ref 69 ref nil cons 356 def cons nil cons 357 def cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 346 remove cons 358 def 121 ref 348 ref cons nil cons 359 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 360 def subst proveHyp nil 83 ref 330 ref 0 ref 12 ref 3 ref cons opType 361 def constTerm 362 def 21 remove appTerm nil cons cons 84 ref 20 ref 15 ref appTerm 363 def nil cons 364 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil 37 ref nil cons cons 365 def 221 ref 248 ref 68 ref 330 ref 274 remove constTerm 366 def "s" 247 ref var 367 def 10 ref 11 remove 0 ref 247 ref 249 ref nil cons 368 def cons opType 369 def constTerm 370 def 251 ref appTerm 367 ref varTerm 371 def appTerm appTerm 372 def 250 ref 371 ref appTerm appTerm 373 def absTerm 374 def appTerm 375 def appTerm 376 def 252 ref appTerm 377 def absTerm 378 def 251 ref appTerm 379 def betaConv nil 275 ref 248 ref 275 ref 367 ref 68 ref 373 ref appTerm 252 ref appTerm absTerm 380 def appTerm 381 def absTerm 382 def appTerm 383 def axiom nil 83 ref 383 ref nil cons 384 def cons 385 def 84 ref 275 ref 378 ref appTerm nil cons 386 def cons nil cons cons nil cons cons 387 def 144 ref subst proveHyp 387 ref 100 ref subst 387 remove 157 ref subst nil 280 ref 378 remove nil cons cons 388 def nil cons nil cons cons 279 ref 43 ref cons 389 def 222 ref subst 390 def subst 248 ref nil 24 ref 377 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 375 remove nil cons 391 def cons 392 def 84 ref 252 ref nil cons 393 def cons nil cons 394 def cons nil cons cons 395 def 100 ref subst 395 remove 157 ref subst nil 385 ref 394 ref cons nil cons cons 396 def 144 ref subst nil 392 remove 84 ref 68 ref 383 remove appTerm 252 ref appTerm 397 def nil cons 398 def cons nil cons 399 def cons nil cons cons 144 ref subst nil 280 ref 367 ref 68 ref 374 ref 371 ref appTerm 400 def appTerm 397 ref appTerm 401 def absTerm nil cons cons nil cons nil cons cons 390 ref subst 367 ref nil 24 ref 401 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 400 ref nil cons 402 def cons 399 ref cons nil cons cons 403 def 100 ref subst 403 remove 157 ref subst 400 ref betaConv 400 remove assume eqMp nil 83 ref 373 remove nil cons 404 def cons 405 def 399 remove cons nil cons cons 406 def 144 ref subst proveHyp 406 ref 100 ref subst 406 remove 157 ref subst 396 ref 100 ref subst 396 remove 157 ref subst nil 405 remove 394 ref cons nil cons cons 144 ref subst 380 ref 371 ref appTerm 407 def betaConv 382 ref 251 ref appTerm 408 def betaConv nil 385 remove 84 ref 408 remove nil cons cons nil cons cons nil cons cons 144 ref subst 279 ref 280 ref 382 remove nil cons cons 283 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 381 remove nil cons cons 84 ref 407 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 380 remove nil cons cons 281 ref 371 ref nil cons cons nil cons 409 def cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 384 remove cons 410 def 121 ref 393 ref cons nil cons 411 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 404 remove cons 121 ref 398 remove cons nil cons 412 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 402 remove cons 412 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 275 ref 281 ref 68 ref 374 ref 281 ref varTerm 413 def appTerm appTerm 397 ref appTerm absTerm appTerm nil cons cons 84 ref 376 remove 397 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 374 remove nil cons cons 412 remove cons nil cons cons nil 347 remove 84 ref 68 ref 332 ref appTerm 414 def 126 ref appTerm nil cons 415 def cons nil cons cons nil cons cons 416 def 100 ref subst 416 remove 157 ref subst nil 83 ref 332 ref nil cons 417 def cons 418 def 349 remove cons nil cons cons 419 def 100 ref subst 419 remove 157 ref subst 350 remove 144 ref subst 84 ref 68 ref 63 ref 64 ref 339 remove 87 ref appTerm absTerm 420 def appTerm 421 def appTerm 87 ref appTerm 422 def absTerm 423 def 126 ref appTerm 424 def betaConv nil 418 remove 84 ref 311 ref 423 ref appTerm 425 def nil cons 426 def cons nil cons 427 def cons nil cons cons 428 def 144 ref subst 338 ref nil 83 ref 333 remove 425 ref appTerm nil cons cons 84 ref 414 remove 425 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 428 remove nil 83 ref 27 ref 85 ref appTerm 429 def 87 ref appTerm 430 def nil cons 431 def cons 432 def 84 ref 88 ref nil cons 433 def cons nil cons 434 def cons nil cons cons 435 def 100 ref subst 435 remove 157 ref subst 100 ref 157 ref 430 ref assume 436 def 114 remove eqMp eqMp 136 ref deductAntisym eqMp 437 def eqMp nil 119 ref 431 remove cons 438 def 121 ref 433 ref cons nil cons 439 def cons nil cons cons 135 ref subst deductAntisym eqMp 440 def subst eqMp eqMp nil 83 ref 426 ref cons 84 ref 424 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 423 remove nil cons cons 315 ref 348 ref cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 417 ref cons 441 def 359 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 358 remove 121 ref 415 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp 442 def subst eqMp eqMp eqMp eqMp nil 119 ref 391 remove cons 411 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 410 remove 121 ref 386 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 83 ref 386 remove cons 84 ref 379 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 388 remove 283 ref cons nil cons cons 173 ref subst eqMp eqMp subst subst eqMp 443 def nil 83 ref 364 remove cons 84 ref "Relation.irreflexive" const 444 def 12 ref constTerm 15 ref appTerm 445 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 365 ref 221 ref 248 ref 68 ref 252 ref appTerm 446 def 444 remove 249 ref constTerm 251 ref appTerm appTerm absTerm 447 def 251 ref appTerm 448 def betaConv nil 275 ref 447 ref appTerm 449 def axiom nil 83 ref 449 remove nil cons cons 84 ref 448 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 447 remove nil cons cons 283 ref cons nil cons cons 173 ref subst eqMp eqMp subst subst eqMp nil 445 remove thm 245 ref 221 ref 248 ref 27 ref "Relation.transitive" const 450 def 249 ref constTerm 451 def 251 ref appTerm appTerm 63 ref 64 ref 63 ref 255 ref 63 ref "z" 45 ref var 452 def 68 ref 10 ref 251 ref 69 ref appTerm 453 def 256 ref appTerm 454 def appTerm 257 ref 452 ref varTerm 455 def appTerm 456 def appTerm 457 def appTerm 453 ref 455 ref appTerm 458 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 459 def appTerm absTerm 460 def 251 ref appTerm 461 def betaConv nil 275 ref 460 ref appTerm 462 def axiom nil 83 ref 462 remove nil cons cons 84 ref 461 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 460 remove nil cons cons 283 ref cons nil cons cons 173 ref subst eqMp eqMp subst 463 def subst sym nil 178 ref 187 ref 178 ref 183 ref 178 ref "p" 1 ref var 464 def 68 ref 10 ref 289 ref appTerm 465 def 234 ref 464 ref varTerm 466 def appTerm appTerm appTerm 288 ref 466 ref appTerm 467 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp 468 def nil 450 remove 12 ref constTerm 469 def 22 ref appTerm 470 def thm 319 remove sym 32 ref eqMp 471 def nil 20 remove 22 ref appTerm 472 def thm 443 remove nil 363 remove thm 242 remove nil 25 ref thm 243 remove nil 24 ref 470 ref nil cons cons nil cons nil cons cons 33 ref subst 468 remove eqMp appThm 325 ref trans sym 32 ref eqMp nil 83 ref 10 ref 25 remove appTerm 470 remove appTerm nil cons cons 84 ref 14 ref "Relation.transitiveClosure" const 473 def 0 ref 6 ref 326 ref cons opType 474 def constTerm 15 ref appTerm 475 def appTerm 22 ref appTerm 476 def nil cons 477 def cons nil cons cons nil cons cons 144 ref subst proveHyp 38 remove 221 ref 367 ref 68 ref 372 remove 451 remove 371 ref appTerm appTerm 478 def appTerm 370 remove 473 remove 0 ref 247 ref 277 ref cons opType 479 def constTerm 251 ref appTerm 480 def appTerm 371 ref appTerm appTerm absTerm 481 def 371 ref appTerm 482 def betaConv 248 ref 275 ref 481 ref appTerm 483 def absTerm 484 def 251 ref appTerm 485 def betaConv nil 275 ref 484 ref appTerm 486 def axiom nil 83 ref 486 remove nil cons cons 84 ref 485 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 484 remove nil cons cons 283 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 483 remove nil cons cons 84 ref 482 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 481 remove nil cons cons 409 remove cons nil cons cons 173 ref subst eqMp eqMp subst subst eqMp nil 83 ref 477 remove cons 84 ref 14 remove 22 ref appTerm 487 def 475 ref appTerm 488 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp 487 ref refl 365 remove 221 ref 248 ref 26 ref 369 remove constTerm 489 def 480 remove appTerm "Relation.bigIntersect" const 490 def 0 ref "Set.set" typeOp 491 def 277 ref opType 492 def 277 ref cons opType constTerm "Set.fromPredicate" const 493 def 0 ref 249 ref 492 remove nil cons cons opType constTerm "v" 247 ref var 494 def 366 ref 367 remove 10 ref 489 remove 494 remove varTerm appTerm 371 remove appTerm appTerm 478 remove appTerm absTerm appTerm absTerm appTerm appTerm appTerm absTerm 495 def 251 ref appTerm 496 def betaConv nil 275 ref 495 ref appTerm 497 def axiom nil 83 ref 497 remove nil cons cons 84 ref 496 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 495 remove nil cons cons 283 ref cons nil cons cons 173 ref subst eqMp eqMp subst subst appThm nil "s" 491 ref 326 remove opType 498 def var 493 ref 0 ref 12 ref 498 ref nil cons cons opType constTerm 499 def "v" 6 ref var 500 def 362 ref 7 ref 10 ref 26 ref 13 remove constTerm 501 def 500 ref varTerm appTerm 17 ref appTerm appTerm 502 def 18 remove 469 ref 17 ref appTerm appTerm 503 def appTerm absTerm appTerm absTerm appTerm nil cons cons 244 ref cons nil cons cons 44 ref "s" 491 ref 145 ref opType 504 def var 505 def 27 ref 57 ref 490 remove 0 ref 504 ref 145 ref cons opType constTerm 505 remove varTerm 506 def appTerm appTerm appTerm 78 ref "t" 49 ref var 507 def 68 ref "Set.member" const 508 def 0 ref 49 ref 0 ref 504 ref 3 ref cons opType 509 def nil cons cons opType constTerm 507 ref varTerm 510 def appTerm 506 ref appTerm appTerm 57 remove 510 ref appTerm appTerm absTerm appTerm appTerm absTerm 511 def 506 ref appTerm 512 def betaConv 55 ref 60 ref 0 ref 509 ref 3 ref cons opType constTerm 511 ref appTerm 513 def absTerm 514 def 56 ref appTerm 515 def betaConv nil 78 ref 514 ref appTerm 516 def axiom nil 83 ref 516 remove nil cons cons 84 ref 515 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 147 ref 514 remove nil cons cons 149 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 513 remove nil cons cons 84 ref 512 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 504 ref nil cons cons nil cons "P" 509 remove var 511 remove nil cons cons "x" 504 remove var 506 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst subst 60 ref 361 remove constTerm 517 def refl "t" 6 ref var 518 def 182 ref 123 ref 508 ref 0 ref 6 ref 0 ref 498 remove 3 ref cons opType nil cons cons opType constTerm 518 remove varTerm 519 def appTerm refl 499 remove refl 500 remove 362 ref refl 520 def 7 ref 502 remove refl 7 ref 503 remove absTerm 521 def 17 remove appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 521 ref 519 ref appTerm betaConv appThm nil "p" 12 remove var 521 remove nil cons cons 329 ref 519 ref nil cons cons nil cons cons nil cons cons 327 ref 43 ref cons 522 def 64 ref 27 ref 508 ref 0 ref 45 ref 0 ref 491 ref 353 ref opType 523 def 3 ref cons opType 524 def nil cons 525 def cons opType constTerm 526 def 69 ref appTerm 527 def 493 ref 0 ref 61 ref 523 ref nil cons 528 def cons opType constTerm 529 def "v" 45 ref var 530 def 331 ref 255 ref 10 ref 26 ref 247 ref constTerm 531 def 530 ref varTerm appTerm 256 ref appTerm appTerm 532 def 260 ref appTerm absTerm appTerm absTerm appTerm appTerm appTerm 263 ref appTerm absTerm 533 def 69 ref appTerm 534 def betaConv 161 ref 63 ref 533 ref appTerm 535 def absTerm 536 def 163 ref appTerm 537 def betaConv nil 254 ref 536 ref appTerm 538 def axiom nil 83 ref 538 remove nil cons cons 84 ref 537 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 246 ref cons nil cons 539 def "P" 62 ref var 540 def 536 remove nil cons cons "x" 61 ref var 541 def 163 ref nil cons 542 def cons nil cons 543 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 535 remove nil cons cons 84 ref 534 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 533 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp 544 def subst subst eqMp appThm 487 ref 519 remove appTerm refl appThm absThm appThm trans trans sym nil 328 ref 36 ref 68 ref 10 ref 16 ref 36 ref varTerm 545 def appTerm appTerm 469 ref 545 ref appTerm appTerm appTerm 487 ref 545 ref appTerm appTerm 546 def absTerm 547 def nil cons cons 548 def nil cons nil cons cons 522 ref 222 ref subst 549 def subst 36 ref nil 24 ref 546 remove nil cons cons nil cons nil cons cons 33 ref subst 182 ref 23 ref nil 7 ref 545 ref nil cons cons 550 def 37 ref cons nil cons cons 176 ref subst appThm 463 ref appThm appThm nil 550 remove 244 ref cons nil cons cons 176 ref subst appThm sym nil 83 ref 10 ref 178 ref 180 ref 178 ref 181 ref 68 ref 15 ref 188 ref appTerm 551 def 184 ref appTerm appTerm 545 ref 188 ref appTerm 552 def 184 ref appTerm 553 def appTerm absTerm 554 def appTerm 555 def absTerm 556 def appTerm 557 def appTerm 178 ref 180 ref 178 ref 181 ref 178 ref "z" 1 ref var 558 def 68 ref 10 ref 553 ref appTerm 559 def 545 ref 184 ref appTerm 560 def 558 ref varTerm 561 def appTerm appTerm 562 def appTerm 552 ref 561 ref appTerm 563 def appTerm absTerm 564 def appTerm 565 def absTerm 566 def appTerm 567 def absTerm 568 def appTerm 569 def appTerm nil cons 570 def cons 84 ref 178 ref 180 ref 178 ref 181 ref 68 ref 214 ref appTerm 571 def 553 ref appTerm 572 def absTerm 573 def appTerm 574 def absTerm 575 def appTerm nil cons 576 def cons nil cons cons nil cons cons 577 def 100 ref subst 577 remove 157 ref subst nil 119 ref 557 remove nil cons 578 def cons 121 ref 569 ref nil cons 579 def cons nil cons cons nil cons cons 580 def 135 ref subst 580 remove 123 ref 127 remove 139 ref appTerm betaConv 139 remove 124 ref appTerm betaConv 129 ref appThm 138 remove 126 ref appTerm betaConv trans trans appThm 140 remove appThm 134 remove 141 remove appThm eqMp sym 32 ref eqMp 581 def subst nil 206 ref 575 remove nil cons cons nil cons nil cons cons 223 ref subst 180 ref nil 24 ref 574 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 573 remove nil cons cons nil cons nil cons cons 223 ref subst 181 ref nil 24 ref 572 remove nil cons cons nil cons nil cons cons 33 ref subst 182 ref 192 remove 183 ref 27 ref 289 ref appTerm 582 def 330 ref 177 remove constTerm 583 def "d" 1 ref var 584 def 195 ref 194 ref appTerm 585 def "Number.Natural.+" const 0 ref 1 ref 196 ref nil cons 586 def cons opType 587 def constTerm 588 def 193 ref appTerm 589 def 197 ref 584 ref varTerm 590 def appTerm 591 def appTerm appTerm absTerm appTerm appTerm absTerm 592 def 194 ref appTerm 593 def betaConv 187 ref 178 ref 592 ref appTerm 594 def absTerm 595 def 193 ref appTerm 596 def betaConv nil 178 ref 595 ref appTerm 597 def axiom nil 83 ref 597 remove nil cons cons 84 ref 596 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 595 remove nil cons cons 208 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 594 remove nil cons cons 84 ref 593 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 592 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp subst appThm 553 ref refl appThm sym nil 206 ref 584 ref 68 ref 584 ref 195 ref 184 ref appTerm 588 remove 188 ref appTerm 598 def 591 remove appTerm 599 def appTerm 600 def absTerm 601 def 590 ref appTerm 602 def appTerm 553 ref appTerm 603 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 584 remove nil 24 ref 603 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 602 ref nil cons 604 def cons 84 ref 553 ref nil cons 605 def cons nil cons 606 def cons nil cons cons 607 def 100 ref subst 607 remove 157 ref subst 602 ref betaConv 602 remove assume eqMp nil 83 ref 600 ref nil cons 608 def cons 606 remove cons nil cons cons 609 def 144 ref subst proveHyp 609 ref 100 ref subst 609 remove 157 ref subst 27 ref "_13352" 1 ref var 610 def 552 ref 610 remove varTerm appTerm absTerm 611 def 184 ref appTerm 612 def appTerm refl 611 ref 599 ref appTerm betaConv appThm 123 ref 612 remove betaConv appThm 552 ref 599 remove appTerm refl appThm trans 611 remove refl 600 remove assume appThm eqMp sym "k" 1 ref var 613 def 552 ref 598 ref 197 ref 613 ref varTerm 614 def appTerm 615 def appTerm 616 def appTerm 617 def absTerm 618 def 590 ref appTerm 619 def betaConv 552 ref refl 620 def nil 183 ref "Number.Natural.zero" const 1 ref constTerm 621 def nil cons 622 def cons 623 def 191 ref cons nil cons cons 183 ref 195 ref 589 ref 235 ref appTerm appTerm 197 ref 589 ref 194 ref appTerm appTerm appTerm absTerm 624 def 194 ref appTerm 625 def betaConv 187 ref 178 ref 624 ref appTerm 626 def absTerm 627 def 193 ref appTerm 628 def betaConv nil 178 ref 627 ref appTerm 629 def axiom nil 83 ref 629 remove nil cons cons 84 ref 628 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 627 remove nil cons cons 208 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 626 remove nil cons cons 84 ref 625 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 624 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp 630 def subst 197 ref refl 631 def nil 191 ref nil cons cons 187 ref 195 ref 589 remove 621 ref appTerm appTerm 193 ref appTerm absTerm 632 def 193 ref appTerm 633 def betaConv nil 178 ref 632 ref appTerm 634 def axiom nil 83 ref 634 remove nil cons cons 84 ref 633 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 632 remove nil cons cons 208 ref cons nil cons cons 173 ref subst eqMp eqMp subst appThm trans appThm sym nil 183 ref 215 ref nil cons 635 def cons 636 def 191 ref cons nil cons cons 211 ref subst nil 180 ref 635 ref cons nil cons nil cons cons 221 ref nil 24 ref 531 ref 69 ref appTerm 637 def 69 ref appTerm nil cons cons nil cons nil cons cons 33 ref subst 172 ref eqMp 638 def subst 639 def subst trans sym 32 ref eqMp nil 83 ref 551 remove 215 ref appTerm nil cons cons 84 ref 552 ref 215 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 181 ref 635 remove cons nil cons nil cons cons 554 ref 184 ref appTerm 640 def betaConv 556 ref 188 ref appTerm 641 def betaConv nil 83 ref 578 remove cons 84 ref 641 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 556 remove nil cons cons 180 ref 189 ref cons nil cons 642 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 555 remove nil cons cons 84 ref 640 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 554 remove nil cons cons 180 ref 185 ref cons nil cons 643 def cons nil cons cons 173 ref subst eqMp eqMp 644 def subst eqMp eqMp nil 83 ref 552 ref 598 ref 197 ref 621 ref appTerm 645 def appTerm appTerm 646 def nil cons cons 84 ref 178 ref 613 ref 68 ref 617 ref appTerm 552 ref 598 remove 197 ref 615 ref appTerm appTerm appTerm 647 def appTerm 648 def absTerm 649 def appTerm 650 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 206 ref 649 remove nil cons cons nil cons nil cons cons 223 ref subst 613 ref nil 24 ref 648 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 617 ref nil cons 651 def cons 84 ref 647 remove nil cons 652 def cons nil cons cons nil cons cons 653 def 100 ref subst 653 remove 157 ref subst 620 remove nil 183 ref 615 ref nil cons cons 191 remove cons nil cons cons 630 remove subst appThm sym 181 ref 559 remove 560 remove 197 ref 616 ref appTerm 654 def appTerm appTerm absTerm 655 def 616 ref appTerm betaConv sym 23 ref nil 24 ref 651 ref cons nil cons nil cons cons 33 ref subst 617 remove assume eqMp appThm 545 remove 616 ref appTerm 654 ref appTerm 656 def refl appThm nil 24 ref 656 remove nil cons 657 def cons nil cons nil cons cons 324 ref subst trans sym nil 183 ref 654 ref nil cons 658 def cons 187 ref 616 ref nil cons 659 def cons nil cons cons nil cons cons 211 remove subst nil 180 ref 658 ref cons nil cons nil cons cons 639 ref subst trans sym 32 ref eqMp nil 83 ref 15 remove 616 remove appTerm 654 ref appTerm nil cons cons 84 ref 657 remove cons nil cons cons nil cons cons 144 ref subst proveHyp nil 181 ref 658 ref cons 180 ref 659 remove cons nil cons 660 def cons nil cons cons 644 remove subst eqMp eqMp eqMp 205 ref 206 ref 655 ref nil cons cons 660 remove cons nil cons cons 360 ref subst proveHyp nil 83 ref 583 ref 655 remove appTerm nil cons cons 84 ref 552 remove 654 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 558 ref 658 remove cons nil cons nil cons cons nil 83 ref 583 ref 181 ref 562 ref absTerm 661 def appTerm 662 def nil cons 663 def cons 664 def 84 ref 563 ref nil cons 665 def cons nil cons 666 def cons nil cons cons 667 def 100 ref subst 667 remove 157 ref subst nil 83 ref 579 ref cons 668 def 666 ref cons nil cons cons 669 def 144 ref subst nil 664 remove 84 ref 68 ref 569 remove appTerm 563 remove appTerm 670 def nil cons 671 def cons nil cons 672 def cons nil cons cons 144 ref subst nil 206 ref 181 ref 68 ref 661 ref 184 ref appTerm 673 def appTerm 670 ref appTerm 674 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 181 ref nil 24 ref 674 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 673 ref nil cons 675 def cons 672 ref cons nil cons cons 676 def 100 ref subst 676 remove 157 ref subst 673 ref betaConv 673 remove assume eqMp nil 83 ref 562 remove nil cons 677 def cons 678 def 672 remove cons nil cons cons 679 def 144 ref subst proveHyp 679 ref 100 ref subst 679 remove 157 ref subst 669 ref 100 ref subst 669 remove 157 ref subst nil 678 remove 666 remove cons nil cons cons 144 ref subst 564 ref 561 ref appTerm 680 def betaConv 566 ref 184 ref appTerm 681 def betaConv 568 ref 188 ref appTerm 682 def betaConv nil 668 remove 84 ref 682 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 568 remove nil cons cons 642 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 567 remove nil cons cons 84 ref 681 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 566 remove nil cons cons 643 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 565 remove nil cons cons 84 ref 680 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 564 remove nil cons cons 180 ref 561 ref nil cons 683 def cons nil cons 684 def cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 579 remove cons 121 ref 665 remove cons nil cons 685 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 677 remove cons 121 ref 671 remove cons nil cons 686 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 675 remove cons 686 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref "x'" 1 ref var 687 def 68 ref 661 ref 687 ref varTerm 688 def appTerm appTerm 670 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 662 remove appTerm 670 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 661 remove nil cons cons 686 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp nil 119 ref 663 remove cons 685 remove cons nil cons cons 135 ref subst deductAntisym eqMp subst eqMp eqMp eqMp nil 119 ref 651 remove cons 121 ref 652 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 83 ref 10 ref 646 remove appTerm 650 remove appTerm nil cons cons 84 ref 178 ref 618 ref appTerm nil cons 689 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 618 ref 621 ref appTerm betaConv appThm 179 ref 613 ref 182 ref 618 ref 614 ref appTerm betaConv 690 def appThm 618 ref 615 remove appTerm betaConv appThm absThm appThm appThm appThm 179 ref 613 ref 690 remove absThm appThm appThm nil 287 ref 618 remove nil cons 691 def cons nil cons nil cons cons 287 ref 68 ref 10 ref 291 ref 621 ref appTerm 692 def appTerm 178 ref 183 ref 68 ref 293 ref appTerm 291 ref 235 ref appTerm 693 def appTerm absTerm appTerm appTerm appTerm 295 remove appTerm absTerm 694 def 291 ref appTerm 695 def betaConv nil 285 ref 694 ref appTerm 696 def axiom nil 83 ref 696 remove nil cons cons 84 ref 695 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 300 ref 301 ref 694 remove nil cons cons 304 ref cons nil cons cons 173 ref subst eqMp eqMp 697 def subst eqMp eqMp nil 83 ref 689 remove cons 84 ref 619 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 691 remove cons 180 ref 590 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 608 remove cons 121 ref 605 remove cons nil cons 698 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 604 remove cons 698 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 687 ref 68 ref 601 ref 688 ref appTerm appTerm 553 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 583 ref 601 ref appTerm appTerm 553 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 601 remove nil cons cons 698 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 119 ref 570 remove cons 121 ref 576 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp 699 def eqMp eqMp nil 83 ref 10 ref 476 remove appTerm 488 remove appTerm nil cons cons 84 ref 501 remove 475 ref appTerm 22 ref appTerm 700 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 35 remove 36 ref 475 remove nil cons cons nil cons cons nil cons cons 44 ref 50 ref 68 ref 10 ref 59 remove appTerm 54 remove 58 ref appTerm 56 ref appTerm appTerm appTerm 26 ref 53 remove constTerm 701 def 56 ref appTerm 58 ref appTerm appTerm absTerm 702 def 58 ref appTerm 703 def betaConv 55 ref 78 ref 702 ref appTerm 704 def absTerm 705 def 56 ref appTerm 706 def betaConv nil 78 ref 705 ref appTerm 707 def axiom nil 83 ref 707 remove nil cons cons 84 ref 706 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 147 ref 705 remove nil cons cons 149 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 704 remove nil cons cons 84 ref 703 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 147 ref 702 remove nil cons cons 175 ref cons nil cons cons 173 ref subst eqMp eqMp subst subst eqMp nil 700 remove thm nil "P" 0 ref 0 ref 45 ref 39 ref cons opType 708 def 3 ref cons opType 709 def var 710 def "m" 708 ref var 711 def 250 ref "Relation.measure" const 0 ref 708 ref 277 remove cons opType constTerm 711 ref varTerm 712 def appTerm 713 def appTerm 714 def absTerm 715 def nil cons cons nil cons nil cons cons "A" 708 ref nil cons 716 def cons nil cons 717 def 43 ref cons 718 def 222 ref subst 719 def subst 711 ref nil 24 ref 714 remove nil cons cons nil cons nil cons cons 33 ref subst 250 ref refl nil "g" 247 ref var 64 ref 255 ref 22 ref 712 ref 69 ref appTerm appTerm 720 def 712 ref 256 ref appTerm 721 def appTerm 722 def absTerm 723 def absTerm 724 def nil cons cons "f" 247 ref var 725 def 713 ref nil cons cons nil cons cons nil cons cons 354 ref "B" 246 ref cons nil cons cons 43 ref cons 726 def "g" 0 ref 45 ref 46 ref nil cons 727 def cons opType 728 def var 729 def 27 ref 26 ref 0 ref 728 ref 0 ref 728 ref 3 ref cons opType 730 def nil cons 731 def cons opType 732 def constTerm 733 def "f" 728 ref var 734 def varTerm 735 def appTerm 729 ref varTerm 736 def appTerm 737 def appTerm 63 ref 64 ref 26 ref 0 ref 46 ref 48 ref cons opType 738 def constTerm 739 def 735 ref 69 ref appTerm 740 def appTerm 741 def 736 ref 69 ref appTerm 742 def appTerm 743 def absTerm 744 def appTerm 745 def appTerm absTerm 746 def 736 ref appTerm 747 def betaConv 734 ref 60 ref 0 ref 730 ref 3 ref cons opType 748 def constTerm 749 def 746 ref appTerm 750 def absTerm 751 def 735 ref appTerm 752 def betaConv 749 ref refl 753 def 734 ref 753 ref 729 ref nil "y" 2 ref var 754 def 745 ref nil cons 755 def cons 315 ref 737 ref nil cons 756 def cons nil cons cons nil cons cons 343 ref 255 ref 27 ref 637 ref 256 ref appTerm 757 def appTerm 758 def 531 ref 256 ref appTerm 759 def 69 ref appTerm 760 def appTerm absTerm 761 def 256 ref appTerm 762 def betaConv 64 ref 63 ref 761 ref appTerm 763 def absTerm 764 def 69 ref appTerm 765 def betaConv nil 63 ref 764 ref appTerm 766 def axiom nil 83 ref 766 remove nil cons cons 84 ref 765 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 764 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 763 remove nil cons cons 84 ref 762 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 761 remove nil cons cons 64 ref 256 ref nil cons cons nil cons 767 def cons nil cons cons 173 ref subst eqMp eqMp 768 def subst 769 def subst absThm appThm absThm appThm sym nil 749 ref 734 ref 749 ref 729 ref 27 ref 745 remove appTerm 737 ref appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 83 ref 749 ref 751 ref appTerm nil cons cons 84 ref 752 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 728 ref nil cons 770 def cons 771 def nil cons 772 def "P" 730 ref var 773 def 751 remove nil cons cons "x" 728 ref var 774 def 735 ref nil cons 775 def cons nil cons 776 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 750 remove nil cons cons 84 ref 747 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 746 remove nil cons cons 774 ref 736 ref nil cons 777 def cons nil cons 778 def cons nil cons cons 173 ref subst eqMp eqMp 779 def subst subst sym nil 150 ref 64 ref 162 ref 713 ref 69 ref appTerm 780 def appTerm 724 ref 69 ref appTerm 781 def appTerm 782 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 782 remove nil cons cons nil cons nil cons cons 33 ref subst nil "g" 61 ref var 783 def 781 ref nil cons cons "f" 61 ref var 784 def 780 ref nil cons cons nil cons cons nil cons cons 354 ref "B" 3 ref cons 785 def nil cons 786 def cons 43 ref cons 787 def 779 ref subst 788 def subst sym nil 150 ref "x'" 45 ref var 789 def 27 ref 780 ref 789 ref varTerm 790 def appTerm appTerm 781 ref 790 ref appTerm appTerm absTerm nil cons cons nil cons nil cons cons 222 ref subst 789 ref 123 ref nil 255 ref 790 ref nil cons 791 def cons nil cons nil cons cons 255 ref 27 ref 780 remove 256 ref appTerm appTerm 722 remove appTerm absTerm 792 def 256 ref appTerm 793 def betaConv 64 ref 63 ref 792 ref appTerm 794 def absTerm 795 def 69 ref appTerm 796 def betaConv 711 ref 63 ref 795 ref appTerm 797 def absTerm 798 def 712 ref appTerm 799 def betaConv nil 60 ref 0 ref 709 ref 3 ref cons opType 800 def constTerm 801 def 798 ref appTerm 802 def axiom nil 83 ref 802 remove nil cons cons 84 ref 799 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 717 ref 710 ref 798 remove nil cons cons "x" 708 ref var 803 def 712 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 797 remove nil cons cons 84 ref 796 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 795 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 794 remove nil cons cons 84 ref 793 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 792 remove nil cons cons 767 ref cons nil cons cons 173 ref subst eqMp eqMp 804 def subst appThm 781 remove betaConv 790 ref refl appThm 723 remove 790 ref appTerm betaConv trans appThm nil 315 ref 720 remove 712 ref 790 ref appTerm appTerm nil cons cons nil cons nil cons cons 343 remove 638 ref subst 805 def subst trans absThm eqMp eqMp eqMp absThm eqMp eqMp appThm sym 471 ref nil 83 ref 472 remove nil cons cons 806 def 84 ref 250 ref 724 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 245 ref 41 ref 355 ref cons 43 ref cons "m" 728 ref var 807 def 68 ref 19 ref 0 ref 738 ref 3 ref cons opType 808 def constTerm "r" 738 ref var 809 def varTerm 810 def appTerm appTerm 250 ref 64 ref 255 ref 810 ref 807 remove varTerm 811 def 69 ref appTerm appTerm 811 ref 256 ref appTerm appTerm absTerm absTerm appTerm appTerm absTerm 812 def 811 ref appTerm 813 def betaConv 809 remove 749 ref 812 ref appTerm 814 def absTerm 815 def 810 ref appTerm 816 def betaConv nil 60 ref 0 ref 808 ref 3 ref cons opType constTerm 815 ref appTerm 817 def axiom 818 def nil 83 ref 817 remove nil cons cons 84 ref 816 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 738 ref nil cons cons nil cons "P" 808 remove var 815 remove nil cons cons "x" 738 remove var 810 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 814 remove nil cons cons 84 ref 813 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 812 remove nil cons cons 774 ref 811 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst subst eqMp eqMp eqMp absThm eqMp nil 801 ref 715 remove appTerm thm 699 ref nil 517 ref 547 ref appTerm 819 def thm nil 280 ref 248 ref 253 ref "Data.Bool.~" const 8 remove constTerm 820 def 330 ref 0 ref 0 ref 0 ref 1 ref 353 ref cons opType 821 def 3 ref cons opType 822 def 3 ref cons opType 823 def constTerm 824 def "f" 821 ref var 825 def 178 ref 183 ref 251 ref 825 ref varTerm 826 def 235 ref appTerm 827 def appTerm 826 ref 194 ref appTerm 828 def appTerm 829 def absTerm 830 def appTerm 831 def absTerm 832 def appTerm 833 def appTerm appTerm 834 def absTerm 835 def nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 834 remove nil cons cons nil cons nil cons cons 33 ref subst nil "b" 2 ref var 836 def 833 ref nil cons 837 def cons "a" 2 ref var 838 def 393 ref cons nil cons cons nil cons cons nil 83 ref 27 ref 838 ref varTerm 839 def appTerm 840 def "Data.Bool.F" const 2 ref constTerm 841 def appTerm 842 def nil cons 843 def cons 844 def 84 ref 27 ref 840 ref 820 ref 836 ref varTerm 845 def appTerm 846 def appTerm appTerm 27 ref 820 ref 839 ref appTerm 847 def appTerm 845 ref appTerm appTerm nil cons 848 def cons nil cons 849 def cons nil cons cons 850 def 100 ref subst 850 remove 157 ref subst 27 ref "_13382" 2 ref var 851 def 27 ref 27 ref 851 remove varTerm 852 def appTerm 846 ref appTerm appTerm 27 ref 820 ref 852 remove appTerm appTerm 845 ref appTerm appTerm absTerm 853 def 839 ref appTerm 854 def appTerm refl 855 def 853 ref 841 ref appTerm betaConv appThm 123 ref 854 remove betaConv appThm 856 def 27 ref 27 ref 841 ref appTerm 857 def 846 ref appTerm appTerm 27 ref 820 ref 841 ref appTerm 858 def appTerm 859 def 845 ref appTerm appTerm refl appThm trans 853 remove refl 860 def 842 remove assume 861 def appThm eqMp sym 123 ref nil 24 ref 846 ref nil cons 862 def cons nil cons nil cons cons 863 def 24 ref 27 ref 857 ref 28 ref appTerm appTerm 820 ref 28 ref appTerm 864 def appTerm absTerm 865 def 28 ref appTerm 866 def betaConv nil 311 ref 865 ref appTerm 867 def axiom nil 83 ref 867 remove nil cons cons 84 ref 866 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 865 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 868 def subst nil 24 ref 845 ref nil cons 869 def cons nil cons nil cons cons 870 def 24 ref 27 ref 820 ref 864 ref appTerm appTerm 28 ref appTerm absTerm 871 def 28 ref appTerm 872 def betaConv nil 311 ref 871 ref appTerm 873 def axiom nil 83 ref 873 remove nil cons cons 84 ref 872 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 871 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 874 def subst 875 def trans appThm 123 ref nil 859 remove 30 ref appTerm axiom 876 def appThm 845 ref refl 877 def appThm 870 ref 24 ref 27 ref 27 ref 30 ref appTerm 878 def 28 ref appTerm appTerm 28 ref appTerm absTerm 879 def 28 ref appTerm 880 def betaConv nil 311 ref 879 ref appTerm 881 def axiom nil 83 ref 881 remove nil cons cons 84 ref 880 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 879 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 882 def subst 883 def trans appThm nil 315 ref 869 remove cons nil cons 884 def nil cons cons 805 ref subst 885 def trans sym 32 ref eqMp eqMp eqMp nil 119 ref 843 ref cons 886 def 121 ref 848 ref cons nil cons 887 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 840 ref 30 ref appTerm 888 def nil cons 889 def cons 890 def 849 remove cons nil cons cons 891 def 100 ref subst 891 remove 157 ref subst 855 remove "_13380" 2 ref var 892 def 27 ref 27 ref 892 remove varTerm 893 def appTerm 846 ref appTerm appTerm 27 ref 820 ref 893 remove appTerm appTerm 845 ref appTerm appTerm absTerm 30 ref appTerm betaConv appThm 856 remove 27 ref 878 ref 846 ref appTerm appTerm 27 ref 820 ref 30 ref appTerm 894 def appTerm 895 def 845 ref appTerm appTerm refl appThm trans 860 remove 888 remove assume 896 def appThm eqMp sym 123 ref 863 ref 882 ref subst appThm 123 ref nil 895 remove 841 ref appTerm axiom 897 def appThm 877 ref appThm 870 ref 868 ref subst 898 def trans appThm nil 315 ref 862 remove cons nil cons nil cons cons 805 ref subst 899 def trans sym 32 ref eqMp eqMp eqMp nil 119 ref 889 remove cons 900 def 887 remove cons nil cons cons 135 ref subst deductAntisym eqMp 24 ref "Data.Bool.\\/" const 9 remove constTerm 901 def 31 ref appTerm 29 remove 841 ref appTerm appTerm absTerm 902 def 839 ref appTerm 903 def betaConv nil 311 ref 902 ref appTerm 904 def axiom 905 def nil 83 ref 904 remove nil cons cons 906 def 84 ref 903 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 902 ref nil cons cons 907 def 315 ref 839 ref nil cons 908 def cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 909 def nil 900 ref 121 ref 843 remove cons 910 def "R" 2 ref var 911 def 848 remove cons nil cons cons cons nil cons cons nil 83 ref 68 ref 126 ref appTerm 912 def 911 ref varTerm 913 def appTerm 914 def nil cons cons 84 ref 913 ref nil cons 915 def cons nil cons cons nil cons cons 144 ref subst nil 83 ref 68 ref 124 ref appTerm 916 def 913 ref appTerm nil cons cons 84 ref 68 ref 914 remove appTerm 913 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst "r" 2 ref var 917 def 68 ref 916 ref 917 ref varTerm 918 def appTerm appTerm 919 def 68 ref 912 ref 918 ref appTerm appTerm 918 ref appTerm appTerm absTerm 920 def 913 remove appTerm 921 def betaConv 27 ref 901 ref 124 ref appTerm 922 def 126 ref appTerm 923 def appTerm refl 84 ref 311 ref 917 ref 919 remove 68 ref 68 ref 87 ref appTerm 924 def 918 ref appTerm 925 def appTerm 926 def 918 ref appTerm 927 def appTerm absTerm appTerm absTerm 126 remove appTerm betaConv appThm 108 ref 922 remove appTerm refl 83 ref 84 ref 311 ref 917 ref 68 ref 86 ref 918 ref appTerm 928 def appTerm 927 remove appTerm absTerm appTerm absTerm absTerm 929 def 124 ref appTerm betaConv appThm nil 97 remove 901 ref appTerm 929 remove appTerm axiom 133 ref appThm eqMp 129 remove appThm eqMp 930 def 923 remove assume eqMp nil 83 ref 311 ref 920 ref appTerm nil cons cons 84 ref 921 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 920 remove nil cons cons 315 ref 915 remove cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp 931 def subst proveHyp proveHyp proveHyp subst 123 ref 820 ref refl 932 def 248 ref 253 ref 254 ref 161 ref 68 ref 331 ref 267 ref appTerm 933 def appTerm 934 def 331 ref 64 ref 10 ref 263 ref appTerm 935 def 63 ref 255 ref 259 ref 820 ref 260 ref appTerm 936 def appTerm absTerm 937 def appTerm 938 def appTerm 939 def absTerm 940 def appTerm 941 def appTerm 942 def absTerm 943 def appTerm appTerm absTerm 944 def 251 ref appTerm 945 def betaConv nil 275 ref 944 ref appTerm 946 def axiom nil 83 ref 946 remove nil cons cons 84 ref 945 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 944 remove nil cons cons 283 ref cons nil cons cons 173 ref subst eqMp eqMp 947 def appThm 123 ref 932 ref 254 ref refl 948 def 161 ref 943 ref 163 ref appTerm betaConv 949 def absThm appThm appThm appThm 330 ref 168 remove constTerm 950 def refl 161 ref 932 ref 949 remove appThm absThm appThm appThm nil "p" 62 ref var 943 remove nil cons cons nil cons nil cons cons 539 ref 43 ref cons 951 def 161 ref 27 ref 820 ref 268 ref appTerm appTerm 331 ref 64 ref 820 ref 263 ref appTerm 952 def absTerm 953 def appTerm appTerm absTerm 954 def 163 ref appTerm 955 def betaConv nil 254 ref 954 ref appTerm 956 def axiom nil 83 ref 956 remove nil cons cons 84 ref 955 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 954 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp 957 def subst subst eqMp trans appThm 833 ref refl 958 def appThm trans sym nil 83 ref 950 remove 161 ref 820 ref 942 remove appTerm 959 def absTerm 960 def appTerm 961 def nil cons 962 def cons 84 ref 837 ref cons nil cons 963 def cons nil cons cons 437 remove nil 83 ref 433 ref cons 964 def 84 ref 924 ref 85 ref appTerm nil cons 965 def cons nil cons 966 def cons nil cons cons 157 ref subst proveHyp 924 ref refl 436 remove appThm sym nil 83 ref 115 ref cons 967 def 84 ref 115 ref cons nil cons 968 def cons nil cons cons 969 def 100 ref subst 969 remove 157 ref subst 117 remove eqMp nil 119 ref 115 ref cons 122 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp 970 def eqMp nil 967 ref 84 ref 112 ref cons nil cons 971 def cons nil cons cons 144 ref subst nil 119 ref 433 remove cons 972 def 121 ref 965 remove cons nil cons 973 def cons nil cons cons 974 def 581 ref subst eqMp 144 ref 974 remove 135 ref subst eqMp deductAntisym deductAntisym 975 def subst nil 540 ref 161 ref 68 ref 960 ref 163 ref appTerm 976 def appTerm 833 ref appTerm 977 def absTerm nil cons cons nil cons nil cons cons 951 ref 222 ref subst 978 def subst 161 ref nil 24 ref 977 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 976 ref nil cons 979 def cons 963 ref cons nil cons cons 980 def 100 ref subst 980 remove 157 ref subst 976 ref betaConv 976 remove assume eqMp nil 83 ref 959 ref nil cons 981 def cons 963 ref cons nil cons cons 982 def 144 ref subst proveHyp 982 ref 100 ref subst 982 remove 157 ref subst nil "t2" 2 ref var 983 def 941 ref nil cons cons "t1" 2 ref var 984 def 933 ref nil cons 985 def cons nil cons cons nil cons cons 983 ref 27 ref 820 ref 68 ref 984 ref varTerm 986 def appTerm 983 ref varTerm 987 def appTerm appTerm appTerm 10 ref 986 ref appTerm 988 def 820 ref 987 ref appTerm 989 def appTerm appTerm absTerm 990 def 987 ref appTerm 991 def betaConv 984 ref 311 ref 990 ref appTerm 992 def absTerm 993 def 986 ref appTerm 994 def betaConv nil 311 ref 993 ref appTerm 995 def axiom nil 83 ref 995 remove nil cons cons 84 ref 994 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 993 remove nil cons cons 315 ref 986 ref nil cons cons nil cons 996 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 992 remove nil cons cons 84 ref 991 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 990 remove nil cons cons 315 ref 987 ref nil cons cons nil cons 997 def cons nil cons cons 173 ref subst eqMp eqMp 998 def subst 959 remove assume eqMp nil 83 ref 10 ref 933 ref appTerm 999 def 820 ref 941 remove appTerm 1000 def appTerm nil cons 1001 def cons 963 ref cons nil cons cons 1002 def 144 ref subst proveHyp 1002 ref 100 ref subst 1002 remove 157 ref subst nil 119 ref 985 ref cons 121 ref 1000 ref nil cons cons nil cons cons nil cons cons 1003 def 135 ref subst 1003 remove 581 ref subst nil 83 ref 985 remove cons 963 ref cons nil cons cons 144 ref subst nil 150 ref "a" 45 ref var 1004 def 68 ref 267 ref 1004 ref varTerm 1005 def appTerm 1006 def appTerm 833 ref appTerm 1007 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 1004 ref nil 24 ref 1007 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1006 ref nil cons 1008 def cons 963 ref cons nil cons cons 1009 def 100 ref subst 1009 remove 157 ref subst 1006 ref betaConv 1006 remove assume eqMp nil 83 ref 163 ref 1005 ref appTerm 1010 def nil cons 1011 def cons 963 ref cons nil cons cons 1012 def 144 ref subst proveHyp 1012 ref 100 ref subst 1012 remove 157 ref subst nil 150 ref 64 ref 331 ref 255 ref 334 ref 10 ref 260 ref appTerm 258 ref appTerm 1013 def appTerm absTerm 1014 def appTerm 1015 def absTerm 1016 def nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 1015 remove nil cons 1017 def cons nil cons nil cons cons 33 ref subst nil 83 ref 952 ref nil cons 1018 def cons 1019 def 84 ref 1017 ref cons nil cons 1020 def cons nil cons cons 1021 def 100 ref subst 1021 remove 157 ref subst 331 ref refl 1022 def 255 ref 182 ref nil 1019 ref 84 ref 27 ref 263 ref appTerm 1023 def 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst nil 119 ref 263 ref nil cons 1024 def cons 1025 def nil cons nil cons cons nil 83 ref 820 ref 124 ref appTerm 1026 def nil cons 1027 def cons 84 ref 27 ref 124 ref appTerm 841 ref appTerm nil cons 1028 def cons nil cons cons nil cons cons 1029 def 100 ref subst 1029 remove 157 ref subst nil 83 ref 124 ref nil cons 1030 def cons 84 ref 841 ref nil cons 1031 def cons nil cons 1032 def cons nil cons cons 975 ref subst 27 ref 1026 ref appTerm refl 83 ref 86 ref 841 ref appTerm absTerm 1033 def 124 ref appTerm betaConv appThm nil 108 remove 820 ref appTerm 1033 remove appTerm axiom 133 remove appThm eqMp 1034 def 1026 remove assume eqMp nil 83 ref 916 ref 841 ref appTerm nil cons cons 84 ref 68 ref 841 ref appTerm 1035 def 124 ref appTerm nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 83 ref 1031 ref cons 1036 def 84 ref 1030 ref cons nil cons cons nil cons cons 1037 def 100 ref subst 1037 remove 157 ref subst 83 ref 85 ref absTerm 1038 def 124 remove appTerm 1039 def betaConv nil 857 ref 311 ref 1038 ref appTerm 1040 def appTerm axiom 841 ref assume eqMp nil 83 ref 1040 remove nil cons cons 84 ref 1039 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1038 remove nil cons cons 315 ref 1030 ref cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp nil 119 ref 1031 ref cons 1041 def 121 ref 1030 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 119 ref 1027 remove cons 121 ref 1028 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp 1042 def subst eqMp 1043 def appThm 1013 ref refl 1044 def appThm nil 24 ref 1013 remove nil cons cons nil cons nil cons cons 1045 def 24 ref 27 ref 1035 ref 28 ref appTerm appTerm 30 ref appTerm absTerm 1046 def 28 ref appTerm 1047 def betaConv nil 311 ref 1046 ref appTerm 1048 def axiom nil 83 ref 1048 remove nil cons cons 84 ref 1047 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1046 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 1049 def subst trans absThm appThm 306 ref 24 ref 27 ref 331 ref 308 remove appTerm appTerm 28 ref appTerm absTerm 1050 def 28 ref appTerm 1051 def betaConv nil 311 ref 1050 ref appTerm 1052 def axiom nil 83 ref 1052 remove nil cons cons 84 ref 1051 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1050 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp subst trans sym 32 ref eqMp eqMp nil 119 ref 1018 ref cons 1053 def 121 ref 1017 ref cons nil cons 1054 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 1024 ref cons 1055 def 1020 remove cons nil cons cons 1056 def 100 ref subst 1056 remove 157 ref subst 1022 ref 255 ref 182 ref nil 24 ref 1024 ref cons nil cons nil cons cons 1057 def 33 ref subst 263 ref assume eqMp 1058 def appThm 1044 remove appThm 1045 remove 24 ref 27 ref 68 ref 30 ref appTerm 1059 def 28 ref appTerm appTerm 28 ref appTerm absTerm 1060 def 28 ref appTerm 1061 def betaConv nil 311 ref 1060 ref appTerm 1062 def axiom nil 83 ref 1062 remove nil cons cons 84 ref 1061 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1060 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 1063 def subst trans absThm appThm sym 1022 ref 255 ref nil 983 ref 258 ref nil cons 1064 def cons 984 ref 260 ref nil cons 1065 def cons nil cons cons nil cons cons 983 ref 27 ref 988 ref 987 ref appTerm 1066 def appTerm 10 ref 987 ref appTerm 1067 def 986 ref appTerm appTerm absTerm 1068 def 987 ref appTerm 1069 def betaConv 984 ref 311 ref 1068 ref appTerm 1070 def absTerm 1071 def 986 ref appTerm 1072 def betaConv nil 311 ref 1071 ref appTerm 1073 def axiom nil 83 ref 1073 remove nil cons cons 84 ref 1072 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1071 remove nil cons cons 996 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1070 remove nil cons cons 84 ref 1069 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1068 remove nil cons cons 997 ref cons nil cons cons 173 ref subst eqMp eqMp subst absThm appThm sym 64 ref 820 ref 939 remove appTerm 1074 def absTerm 1075 def 69 ref appTerm 1076 def betaConv 123 ref 932 ref 1022 ref 64 ref 940 ref 69 ref appTerm betaConv 1077 def absThm appThm appThm appThm 63 ref refl 1078 def 64 ref 932 ref 1077 remove appThm absThm appThm appThm nil 161 ref 940 remove nil cons cons nil cons nil cons cons 161 ref 27 ref 820 ref 933 ref appTerm appTerm 63 ref 953 remove appTerm appTerm absTerm 1079 def 163 ref appTerm 1080 def betaConv nil 254 ref 1079 ref appTerm 1081 def axiom nil 83 ref 1081 remove nil cons cons 84 ref 1080 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 1079 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp 1082 def subst eqMp 1000 remove assume eqMp nil 83 ref 63 ref 1075 ref appTerm nil cons cons 84 ref 1076 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 1075 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1074 remove nil cons cons 84 ref 331 ref 255 ref 10 ref 258 ref appTerm 1083 def 260 ref appTerm absTerm appTerm 1084 def nil cons 1085 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 932 ref 23 ref 1058 ref appThm 938 ref refl appThm nil 24 ref 938 remove nil cons cons nil cons nil cons cons 324 ref subst trans appThm 123 ref 932 ref 1078 ref 255 ref 937 ref 256 ref appTerm betaConv 1086 def absThm appThm appThm appThm 1022 ref 255 ref 932 ref 1086 remove appThm absThm appThm appThm nil 161 ref 937 remove nil cons cons nil cons nil cons cons 957 ref subst eqMp 1022 ref 255 ref nil 983 ref 936 ref nil cons cons 984 ref 1064 ref cons nil cons cons nil cons cons 998 ref subst 1083 remove refl nil 24 ref 1065 ref cons nil cons nil cons cons 874 ref subst appThm trans absThm appThm trans trans appThm 1084 remove refl appThm nil 24 ref 1085 remove cons nil cons nil cons cons nil 24 ref 68 ref 28 ref appTerm 1087 def 28 ref appTerm 1088 def nil cons cons nil cons nil cons cons 33 ref subst 24 ref 1088 remove absTerm 1089 def 28 ref appTerm 1090 def betaConv nil 311 ref 1089 ref appTerm 1091 def axiom 1092 def nil 83 ref 1091 remove nil cons cons 84 ref 1090 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1089 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp 1093 def subst trans sym 32 ref eqMp eqMp eqMp eqMp eqMp nil 1025 ref 1054 remove cons nil cons cons 135 ref subst deductAntisym eqMp 24 ref 901 ref 28 ref appTerm 1094 def 864 ref appTerm absTerm 1095 def 263 ref appTerm 1096 def betaConv nil 311 ref 1095 ref appTerm 1097 def axiom 1098 def nil 83 ref 1097 remove nil cons cons 1099 def 84 ref 1096 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1095 ref nil cons cons 1100 def 315 ref 1024 ref cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 1101 def nil 1025 ref 121 ref 1018 remove cons 1102 def 911 ref 1017 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp nil 83 ref 63 ref 1016 remove appTerm nil cons cons 963 ref cons nil cons cons 144 ref subst 182 ref 123 ref 1078 ref 64 ref 1022 ref 255 ref 64 ref 1014 ref absTerm 1103 def 69 ref appTerm betaConv 1104 def 256 ref refl 1105 def appThm 1014 ref 256 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 45 ref 353 ref cons opType 1106 def 3 ref cons opType 1107 def 3 ref cons opType 1108 def constTerm 1109 def refl 1110 def "f" 1106 ref var 1111 def 1078 ref 64 ref 1104 remove 1111 ref varTerm 1112 def 69 ref appTerm 1113 def refl 1114 def appThm 1014 remove 1113 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 248 ref 1103 remove nil cons cons nil cons nil cons cons "B" 353 ref cons 1115 def 355 ref cons 43 ref cons 55 ref 27 ref 63 ref 64 ref 330 ref 65 ref constTerm 1116 def 67 ref 72 remove absTerm appTerm absTerm appTerm appTerm 330 ref 748 ref constTerm 1117 def 734 ref 63 ref 64 ref 70 remove 740 ref appTerm absTerm appTerm absTerm appTerm appTerm absTerm 1118 def 56 remove appTerm 1119 def betaConv nil 78 ref 1118 ref appTerm 1120 def axiom nil 83 ref 1120 remove nil cons cons 84 ref 1119 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 147 ref 1118 remove nil cons cons 149 remove cons nil cons cons 173 ref subst eqMp eqMp 1121 def subst 1122 def subst eqMp appThm 958 remove appThm sym nil "P" 1107 ref var 1123 def 1111 ref 68 ref 1111 ref 63 ref 64 ref 334 ref 10 ref 163 ref 1113 ref appTerm appTerm 251 ref 1113 ref appTerm 69 ref appTerm 1124 def appTerm appTerm absTerm 1125 def appTerm 1126 def absTerm 1127 def 1112 ref appTerm 1128 def appTerm 833 ref appTerm 1129 def absTerm nil cons cons nil cons nil cons cons "A" 1106 ref nil cons 1130 def cons nil cons 1131 def 43 ref cons 222 ref subst 1132 def subst 1111 ref nil 24 ref 1129 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1128 ref nil cons 1133 def cons 963 ref cons nil cons cons 1134 def 100 ref subst 1134 remove 157 ref subst 1128 ref betaConv 1128 remove assume eqMp nil 83 ref 1126 remove nil cons 1135 def cons 1136 def 963 ref cons nil cons cons 1137 def 144 ref subst proveHyp 1137 ref 100 ref subst 1137 remove 157 ref subst 824 ref refl 1138 def "fn" 821 ref var 1139 def 10 ref 531 ref 1139 ref varTerm 1140 def 621 ref appTerm appTerm 1141 def 1005 ref appTerm appTerm refl 179 ref 183 ref 531 ref 1140 ref 235 ref appTerm appTerm 1142 def refl "_13377" 45 ref var 1143 def 183 ref 1112 ref 1143 remove varTerm appTerm absTerm absTerm 1144 def 1140 ref 194 ref appTerm 1145 def appTerm betaConv 194 ref refl 1146 def appThm "n'" 1 ref var 1147 def 1112 ref 1145 ref appTerm absTerm 194 ref appTerm betaConv trans appThm absThm appThm appThm absThm appThm nil "f" 0 ref 45 ref 821 ref nil cons 1148 def cons opType 1149 def var 1150 def 1144 remove nil cons cons "e" 45 ref var 1151 def 1005 ref nil cons 1152 def cons nil cons cons nil cons cons 1150 ref "Data.Bool.?!" const 1153 def 823 ref constTerm 1139 ref 10 ref 1141 ref 1151 ref varTerm 1154 def appTerm appTerm 178 ref 183 ref 1142 ref 1150 ref varTerm 1155 def 1145 ref appTerm 194 ref appTerm appTerm absTerm appTerm 1156 def appTerm absTerm 1157 def appTerm 1158 def absTerm 1159 def 1155 ref appTerm 1160 def betaConv 1151 ref 60 ref 0 ref 0 ref 1149 ref 3 ref cons opType 1161 def 3 ref cons opType 1162 def constTerm 1163 def 1159 ref appTerm 1164 def absTerm 1165 def 1154 ref appTerm 1166 def betaConv nil 63 ref 1165 ref appTerm 1167 def axiom nil 83 ref 1167 remove nil cons cons 84 ref 1166 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 1165 remove nil cons cons 64 ref 1154 ref nil cons 1168 def cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1164 remove nil cons cons 84 ref 1160 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 1149 ref nil cons cons nil cons 1169 def "P" 1161 ref var 1170 def 1159 remove nil cons cons "x" 1149 ref var 1171 def 1155 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1158 remove nil cons cons 84 ref 824 ref 1157 ref appTerm 1172 def nil cons 1173 def cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 1148 ref cons 1174 def nil cons 1175 def "P" 822 ref var 1176 def 1157 remove nil cons cons nil cons nil cons cons nil 83 ref 1153 ref 62 remove constTerm 1177 def 151 ref appTerm 1178 def nil cons 1179 def cons 1180 def 84 ref 417 ref cons nil cons cons nil cons cons 1181 def 100 ref subst 1181 remove 157 ref subst nil 1180 remove 84 ref 10 ref 332 remove appTerm 63 ref 64 ref 63 ref 255 ref 68 ref 10 ref 154 ref appTerm 1182 def 151 ref 256 ref appTerm 1183 def appTerm 1184 def appTerm 757 ref appTerm absTerm 1185 def appTerm absTerm 1186 def appTerm 1187 def appTerm 1188 def nil cons cons nil cons cons nil cons cons 1189 def 144 ref subst 27 ref 1178 ref appTerm 1190 def refl 161 ref 10 ref 331 ref 163 ref appTerm appTerm 1191 def 63 ref 64 ref 63 ref 255 ref 68 ref 935 ref 260 ref appTerm appTerm 757 ref appTerm absTerm appTerm absTerm appTerm appTerm absTerm 1192 def 151 ref appTerm betaConv appThm nil 169 remove 1177 ref appTerm 1192 ref appTerm axiom 1193 def 170 remove appThm eqMp nil 83 ref 1190 remove 1188 ref appTerm nil cons cons 84 ref 68 ref 1178 remove appTerm 1188 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1189 remove 440 ref subst eqMp eqMp nil 441 remove 121 ref 1187 remove nil cons 1194 def cons nil cons cons nil cons cons 135 ref subst proveHyp eqMp nil 119 ref 1179 remove cons 121 ref 417 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp subst eqMp 1195 def subst eqMp nil 83 ref 824 ref "s" 821 ref var 1196 def 10 ref 531 ref 1196 ref varTerm 1197 def 621 ref appTerm 1198 def appTerm 1199 def 1005 ref appTerm 1200 def appTerm 178 ref 183 ref 531 ref 1197 ref 235 ref appTerm 1201 def appTerm 1112 ref 1197 ref 194 ref appTerm 1202 def appTerm 1203 def appTerm 1204 def absTerm 1205 def appTerm 1206 def appTerm 1207 def absTerm 1208 def appTerm 1209 def nil cons cons 963 ref cons nil cons cons 144 ref subst proveHyp nil 1176 ref 1196 ref 68 ref 1208 ref 1197 ref appTerm 1210 def appTerm 833 ref appTerm 1211 def absTerm nil cons cons nil cons nil cons cons 1175 ref 43 ref cons 1212 def 222 ref subst 1213 def subst 1196 ref nil 24 ref 1211 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1210 ref nil cons 1214 def cons 963 ref cons nil cons cons 1215 def 100 ref subst 1215 remove 157 ref subst 1210 ref betaConv 1210 remove assume eqMp nil 83 ref 1207 remove nil cons 1216 def cons 963 remove cons nil cons cons 1217 def 144 ref subst proveHyp 1217 ref 100 ref subst 1217 remove 157 ref subst nil 119 ref 1200 ref nil cons cons 121 ref 1206 ref nil cons 1218 def cons nil cons cons nil cons cons 1219 def 135 ref subst 1219 remove 581 ref subst 832 ref 1197 ref appTerm 1220 def betaConv 1221 def sym 179 ref 183 ref 251 ref refl 1222 def 1205 ref 194 ref appTerm 1223 def betaConv nil 83 ref 1218 remove cons 84 ref 1223 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 1205 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp 1224 def appThm 1202 ref refl 1225 def appThm 1226 def absThm appThm sym 23 ref 163 ref refl 1227 def 1200 remove assume 1228 def appThm nil 24 ref 1011 ref cons nil cons nil cons cons 33 ref subst 1010 ref assume eqMp 1229 def trans appThm 1222 ref nil 623 remove nil cons nil cons cons 1230 def 1224 remove subst 1112 ref refl 1231 def 1228 ref appThm trans appThm 1228 remove appThm appThm nil 24 ref 251 ref 1112 ref 1005 ref appTerm 1232 def appTerm 1005 ref appTerm 1233 def nil cons 1234 def cons nil cons nil cons cons 324 ref subst trans sym 1125 ref 1005 ref appTerm 1235 def betaConv nil 1136 ref 84 ref 1235 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 1125 ref nil cons cons 1236 def 64 ref 1152 ref cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 1010 remove appTerm 10 ref 163 ref 1232 remove appTerm 1237 def appTerm 1233 ref appTerm 1238 def appTerm nil cons cons 84 ref 1234 ref cons nil cons 1239 def cons nil cons cons 144 ref subst proveHyp 182 ref 182 ref 1229 remove appThm 1238 ref refl appThm nil 24 ref 1238 remove nil cons 1240 def cons nil cons nil cons cons 1063 ref subst trans appThm 1233 remove refl appThm sym nil 83 ref 1240 ref cons 1239 remove cons nil cons cons 1241 def 100 ref subst 1241 remove 157 ref subst nil 119 ref 1237 remove nil cons cons 121 ref 1234 remove cons nil cons 1242 def cons nil cons cons 581 ref subst eqMp nil 119 ref 1240 remove cons 1242 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 83 ref 10 ref 163 ref 1198 ref appTerm appTerm 251 ref 1197 ref 645 ref appTerm appTerm 1198 ref appTerm appTerm 1243 def nil cons cons 84 ref 178 ref 183 ref 68 ref 10 ref 163 ref 1202 ref appTerm 1244 def appTerm 1245 def 251 ref 1201 ref appTerm 1202 ref appTerm 1246 def appTerm 1247 def appTerm 10 ref 163 ref 1201 ref appTerm 1248 def appTerm 1249 def 251 ref 1197 ref 197 ref 235 ref appTerm 1250 def appTerm 1251 def appTerm 1201 ref appTerm 1252 def appTerm 1253 def appTerm 1254 def absTerm 1255 def appTerm 1256 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 206 ref 1255 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 1254 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1247 ref nil cons 1257 def cons 84 ref 1253 ref nil cons 1258 def cons nil cons 1259 def cons nil cons cons 1260 def 100 ref subst 1260 remove 157 ref subst nil 119 ref 1244 ref nil cons 1261 def cons 1262 def 121 ref 1246 ref nil cons 1263 def cons nil cons cons nil cons cons 1264 def 135 ref subst 1264 remove 581 ref subst 1125 ref 1201 ref appTerm 1265 def betaConv nil 1136 ref 84 ref 1265 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 1236 ref 64 ref 1201 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 1248 ref appTerm 1266 def 10 ref 163 ref 1112 ref 1201 ref appTerm 1267 def appTerm appTerm 251 ref 1267 remove appTerm 1201 ref appTerm appTerm appTerm 1268 def nil cons cons 1259 remove cons nil cons cons 144 ref subst proveHyp 1125 remove 1202 ref appTerm 1269 def betaConv nil 1136 remove 84 ref 1269 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 1236 remove 64 ref 1202 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 1244 ref appTerm 1270 def 10 ref 163 ref 1203 ref appTerm appTerm 251 ref 1203 ref appTerm 1202 ref appTerm 1271 def appTerm appTerm nil cons cons 84 ref 68 ref 1268 remove appTerm 1253 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 1270 remove refl 23 ref 1227 ref 183 ref 531 ref 1203 remove appTerm 1201 ref appTerm 1272 def absTerm 1273 def 194 ref appTerm 1274 def betaConv 179 ref 183 ref 1272 remove assume sym 1204 remove assume sym deductAntisym absThm appThm 1206 remove assume eqMp nil 83 ref 178 ref 1273 ref appTerm nil cons cons 84 ref 1274 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 1273 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp 1275 def appThm appThm 1222 ref 1275 ref appThm 1225 remove appThm appThm appThm appThm 182 ref 1266 ref refl 23 ref 1227 ref nil 183 ref 235 ref nil cons 1276 def cons nil cons nil cons cons 1277 def 1275 remove subst 1278 def appThm appThm 1222 ref 1278 remove appThm 1201 remove refl appThm appThm appThm appThm 1253 ref refl appThm appThm sym 182 ref 182 ref nil 24 ref 1261 remove cons nil cons nil cons cons 33 ref subst 1244 remove assume eqMp appThm 1249 remove refl nil 24 ref 1263 remove cons nil cons nil cons cons 33 ref subst 1246 ref assume eqMp appThm nil 24 ref 1248 ref nil cons 1279 def cons nil cons nil cons cons 1280 def 24 ref 27 ref 10 ref 28 ref appTerm 1281 def 30 ref appTerm appTerm 28 ref appTerm absTerm 1282 def 28 ref appTerm 1283 def betaConv nil 311 ref 1282 ref appTerm 1284 def axiom nil 83 ref 1284 remove nil cons cons 84 ref 1283 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1282 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 1285 def subst trans appThm 1280 ref 1063 ref subst trans appThm 68 ref 1266 remove 10 ref 163 ref 1251 remove appTerm 1286 def appTerm 1252 ref appTerm 1287 def appTerm appTerm 1253 remove appTerm 1288 def refl appThm sym nil 83 ref 1279 ref cons 84 ref 1288 remove nil cons 1289 def cons nil cons cons nil cons cons 1290 def 100 ref subst 1290 remove 157 ref subst 182 ref 182 ref 1280 remove 33 ref subst 1248 remove assume eqMp 1291 def appThm 1287 ref refl appThm nil 24 ref 1287 remove nil cons 1292 def cons nil cons nil cons cons 1063 ref subst trans appThm 23 ref 1291 remove appThm 1252 ref refl appThm nil 24 ref 1252 remove nil cons 1293 def cons nil cons nil cons cons 324 ref subst trans appThm sym nil 83 ref 1292 ref cons 84 ref 1293 ref cons nil cons cons nil cons cons 1294 def 100 ref subst 1294 remove 157 ref subst nil 119 ref 1286 remove nil cons cons 121 ref 1293 remove cons nil cons 1295 def cons nil cons cons 581 ref subst eqMp nil 119 ref 1292 remove cons 1295 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 1279 remove cons 121 ref 1289 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 119 ref 1257 remove cons 121 ref 1258 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 83 ref 10 ref 1243 remove appTerm 1256 remove appTerm nil cons cons 84 ref 178 ref 183 ref 1247 remove absTerm 1296 def appTerm nil cons 1297 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 1296 ref 621 ref appTerm betaConv appThm 179 ref 183 ref 182 ref 1296 ref 194 ref appTerm betaConv 1298 def appThm 1296 ref 235 ref appTerm betaConv appThm absThm appThm appThm appThm 179 ref 183 ref 1298 remove absThm appThm appThm nil 287 ref 1296 remove nil cons cons nil cons nil cons cons 697 ref subst eqMp eqMp nil 83 ref 1297 remove cons 84 ref 178 ref 183 ref 1271 ref absTerm 1299 def appTerm 1300 def nil cons 1301 def cons nil cons 1302 def cons nil cons cons 144 ref subst 182 ref 179 ref 183 ref 1245 ref refl 1226 remove appThm absThm appThm appThm 1300 remove refl appThm sym nil 83 ref 178 ref 183 ref 1245 remove 1271 ref appTerm 1303 def absTerm 1304 def appTerm nil cons 1305 def cons 1306 def 1302 remove cons nil cons cons 1307 def 100 ref subst 1307 remove 157 ref subst nil 206 ref 1299 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 1271 remove nil cons 1308 def cons nil cons nil cons cons 33 ref subst 1304 ref 194 ref appTerm 1309 def betaConv nil 1306 remove 84 ref 1309 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 1304 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1303 remove nil cons 1310 def cons 84 ref 1308 ref cons nil cons cons nil cons cons 1311 def 144 ref subst proveHyp 1311 ref 100 ref subst 1311 remove 157 ref subst nil 1262 remove 121 ref 1308 remove cons nil cons 1312 def cons nil cons cons 581 ref subst eqMp nil 119 ref 1310 remove cons 1312 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp nil 119 ref 1305 remove cons 121 ref 1301 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp eqMp 1175 ref 1176 ref 832 ref nil cons 1313 def cons 1314 def "x" 821 ref var 1315 def 1197 ref nil cons 1316 def cons nil cons 1317 def cons nil cons cons 360 ref subst proveHyp proveHyp proveHyp eqMp nil 119 ref 1216 remove cons 121 ref 837 ref cons nil cons 1318 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 1214 remove cons 1318 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 823 ref constTerm 1319 def 1315 ref 68 ref 1208 ref 1315 ref varTerm 1320 def appTerm appTerm 833 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 1209 remove appTerm 833 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 1208 remove nil cons cons 1318 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 1135 remove cons 1318 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 1133 remove cons 1318 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 1108 remove constTerm 1321 def "x" 1106 ref var 1322 def 68 ref 1127 ref 1322 ref varTerm appTerm appTerm 833 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 1109 remove 1127 ref appTerm appTerm 833 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1131 ref 1123 ref 1127 remove nil cons cons 1318 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp proveHyp eqMp nil 119 ref 1011 remove cons 1318 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 1008 remove cons 1318 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 63 ref 64 ref 68 ref 267 ref 69 ref appTerm appTerm 833 ref appTerm absTerm appTerm nil cons cons 84 ref 934 ref 833 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 267 remove nil cons cons 1318 ref cons nil cons cons 442 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 119 ref 1001 remove cons 1318 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 981 remove cons 1318 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 979 remove cons 1318 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 254 ref 541 ref 68 ref 960 ref 541 ref varTerm appTerm appTerm 833 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 961 ref appTerm 833 ref appTerm nil cons 1323 def cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 960 ref nil cons cons 1324 def 1318 remove cons nil cons cons 442 ref subst eqMp nil 83 ref 1323 remove cons 84 ref 68 ref 833 ref appTerm 1325 def 961 ref appTerm nil cons cons nil cons 1326 def cons nil cons cons 157 ref subst proveHyp nil 1176 ref 825 ref 68 ref 832 ref 826 ref appTerm 1327 def appTerm 961 ref appTerm 1328 def absTerm nil cons cons nil cons nil cons cons 1213 ref subst 825 ref nil 24 ref 1328 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1327 ref nil cons 1329 def cons 84 ref 962 ref cons nil cons 1330 def cons nil cons cons 1331 def 100 ref subst 1331 remove 157 ref subst 1327 ref betaConv 1332 def 1327 remove assume eqMp nil 83 ref 831 ref nil cons 1333 def cons 1334 def 1330 remove cons nil cons cons 1335 def 144 ref subst proveHyp 1335 ref 100 ref subst 1335 remove 157 ref subst 960 remove 255 ref 583 ref 183 ref 759 ref 828 ref appTerm 1336 def absTerm 1337 def appTerm absTerm 1338 def appTerm betaConv sym nil 983 ref 331 ref 64 ref 10 ref 1338 ref 69 ref appTerm 1339 def appTerm 63 ref 255 ref 259 ref 820 ref 1338 ref 256 ref appTerm 1340 def appTerm appTerm absTerm appTerm appTerm absTerm 1341 def appTerm nil cons cons 984 ref 331 ref 64 ref 1339 ref absTerm appTerm nil cons cons nil cons cons nil cons cons 998 ref subst 23 ref 1022 ref 255 ref 1340 remove betaConv 1342 def absThm appThm appThm 123 ref 932 ref 1022 ref 64 ref 1341 ref 69 ref appTerm betaConv 1343 def absThm appThm appThm appThm 1078 ref 64 ref 932 ref 1343 remove appThm absThm appThm appThm nil 161 ref 1341 remove nil cons cons nil cons nil cons cons 1082 ref subst eqMp 1078 ref 64 ref 932 ref 23 ref 1339 remove betaConv appThm 1078 ref 255 ref 259 ref refl 1344 def 932 ref 1342 remove appThm 123 ref 932 ref 583 ref refl 1345 def 183 ref 1337 ref 194 ref appTerm betaConv 1346 def absThm appThm appThm appThm 179 ref 183 ref 932 ref 1346 remove appThm absThm appThm appThm nil 287 ref 1337 remove nil cons cons nil cons nil cons cons 221 ref 1082 ref subst 1347 def subst eqMp trans appThm absThm appThm appThm appThm absThm appThm trans appThm trans sym 64 ref 583 ref 183 ref 637 ref 828 ref appTerm 1348 def absTerm 1349 def appTerm 1350 def absTerm 1351 def 826 ref 621 ref appTerm 1352 def appTerm betaConv sym 183 ref 531 ref 1352 ref appTerm 828 ref appTerm absTerm 1353 def 621 ref appTerm betaConv sym 1352 ref refl eqMp 205 ref 206 ref 1353 remove nil cons cons 180 ref 622 ref cons nil cons 1354 def cons nil cons cons 360 ref subst proveHyp eqMp 355 ref 150 ref 1351 ref nil cons cons 64 ref 1352 remove nil cons cons nil cons cons nil cons cons 360 ref subst proveHyp nil 83 ref 331 ref 1351 remove appTerm nil cons cons 84 ref 63 ref 64 ref 820 ref 10 ref 1350 ref appTerm 63 ref 255 ref 259 ref 178 ref 183 ref 820 ref 1336 remove appTerm absTerm appTerm 1355 def appTerm absTerm appTerm 1356 def appTerm 1357 def appTerm 1358 def absTerm 1359 def appTerm nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 150 ref 1359 remove nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 1358 remove nil cons cons nil cons nil cons cons 33 ref subst nil 119 ref 1357 remove nil cons 1360 def cons 1361 def nil cons nil cons cons 1034 remove sym 1362 def subst nil 83 ref 1360 remove cons 1032 ref cons nil cons cons 1363 def 100 ref subst 1363 remove 157 ref subst nil 119 ref 1350 ref nil cons 1364 def cons 121 ref 1356 ref nil cons cons nil cons cons nil cons cons 1365 def 135 ref subst 1365 remove 581 ref subst nil 83 ref 1364 remove cons 1032 ref cons nil cons cons 144 ref subst nil 206 ref 183 ref 68 ref 1349 ref 194 ref appTerm 1366 def appTerm 841 ref appTerm 1367 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 1367 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1366 ref nil cons 1368 def cons 1032 ref cons nil cons cons 1369 def 100 ref subst 1369 remove 157 ref subst 1366 ref betaConv 1366 remove assume eqMp nil 83 ref 1348 ref nil cons 1370 def cons 1032 ref cons nil cons cons 1371 def 144 ref subst proveHyp 1371 ref 100 ref subst 1371 remove 157 ref subst 255 ref 68 ref 257 ref 828 ref appTerm appTerm 1355 ref appTerm absTerm 1372 def 827 ref appTerm 1373 def betaConv 27 ref "_13388" 45 ref var 1374 def 63 ref 255 ref 68 ref 257 ref 1374 remove varTerm appTerm appTerm 1355 remove appTerm absTerm appTerm absTerm 1375 def 69 ref appTerm 1376 def appTerm refl 1375 ref 828 ref appTerm betaConv appThm 123 ref 1376 remove betaConv appThm 63 ref 1372 ref appTerm 1377 def refl appThm trans 1375 remove refl 1348 remove assume appThm eqMp 1356 remove assume eqMp nil 83 ref 1377 remove nil cons cons 84 ref 1373 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 1372 remove nil cons cons 64 ref 827 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 829 ref appTerm 178 ref 1147 ref 820 ref 531 ref 827 ref appTerm 826 ref 1147 ref varTerm 1378 def appTerm appTerm 1379 def appTerm absTerm 1380 def appTerm 1381 def appTerm nil cons 1382 def cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 24 ref 1382 remove cons nil cons nil cons cons 24 ref 27 ref 1087 ref 841 ref appTerm appTerm 864 remove appTerm absTerm 1383 def 28 ref appTerm 1384 def betaConv nil 311 ref 1383 ref appTerm 1385 def axiom nil 83 ref 1385 remove nil cons cons 84 ref 1384 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1383 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 1386 def subst 932 ref 182 ref nil 24 ref 829 remove nil cons cons nil cons nil cons cons 33 ref subst 830 ref 194 ref appTerm 1387 def betaConv nil 1334 remove 84 ref 1387 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 830 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp appThm 1381 ref refl appThm nil 24 ref 1381 remove nil cons cons nil cons nil cons cons 1063 ref subst trans appThm trans sym 123 ref 932 ref 179 ref 1147 ref 1380 ref 1378 ref appTerm betaConv 1388 def absThm appThm appThm appThm 1345 ref 1147 ref 932 ref 1388 remove appThm absThm appThm appThm nil 287 ref 1380 remove nil cons cons nil cons nil cons cons 221 ref 957 ref subst subst eqMp 1345 ref 1147 ref nil 24 ref 1379 ref nil cons cons nil cons nil cons cons 874 ref subst absThm appThm trans sym 1147 ref 1379 remove absTerm 1389 def 235 ref appTerm betaConv sym 827 remove refl eqMp 205 ref 206 ref 1389 remove nil cons cons 180 ref 1276 ref cons nil cons cons nil cons cons 360 ref subst proveHyp eqMp eqMp eqMp eqMp nil 119 ref 1370 remove cons 121 ref 1031 ref cons nil cons 1390 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 1368 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 1349 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 1350 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 1349 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 1361 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp 539 ref 1324 remove 541 ref 1338 remove nil cons cons nil cons cons nil cons cons 360 ref subst proveHyp eqMp nil 119 ref 1333 remove cons 121 ref 962 remove cons nil cons 1391 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 1329 remove cons 1391 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1319 ref 1315 ref 68 ref 832 remove 1320 ref appTerm 1392 def appTerm 1393 def 961 remove appTerm absTerm appTerm nil cons cons 1326 remove cons nil cons cons 144 ref subst proveHyp 1175 ref 1314 ref 1391 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp 1394 def eqMp absThm eqMp nil 275 ref 835 remove appTerm thm nil 540 ref 161 ref 1321 ref "g" 1106 ref var 1395 def 749 ref "h" 728 ref var 1396 def 1117 ref 734 ref 63 ref 64 ref 741 ref "Data.Bool.cond" const 1397 def 0 ref 2 ref 0 ref 46 ref 0 ref 46 ref 727 ref cons opType nil cons cons opType nil cons cons opType constTerm 1398 def 263 ref appTerm 1399 def 735 ref 1395 ref varTerm 1400 def 69 ref appTerm 1401 def appTerm appTerm 1396 ref varTerm 1402 def 69 ref appTerm 1403 def appTerm appTerm absTerm appTerm absTerm 1404 def appTerm 1405 def absTerm 1406 def appTerm 1407 def absTerm 1408 def appTerm 1409 def absTerm 1410 def nil cons cons nil cons nil cons cons 978 ref subst 161 ref nil 24 ref 1409 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1123 ref 1408 remove nil cons cons nil cons nil cons cons 1132 ref subst 1395 ref nil 24 ref 1407 remove nil cons cons nil cons nil cons cons 33 ref subst nil 773 ref 1406 remove nil cons cons nil cons nil cons cons 772 ref 43 ref cons 1411 def 222 ref subst 1412 def subst 1396 ref nil 24 ref 1405 ref nil cons 1413 def cons nil cons nil cons cons 33 ref subst nil 150 ref 64 ref 824 ref 1139 ref 10 ref 1141 remove 69 ref appTerm appTerm 1414 def 178 ref 183 ref 1142 remove 255 ref 183 ref 1400 ref 256 ref appTerm absTerm absTerm 1415 def 1145 remove appTerm 194 ref appTerm appTerm absTerm appTerm appTerm absTerm 1416 def appTerm 1417 def absTerm 1418 def nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 1417 remove nil cons cons nil cons nil cons cons 33 ref subst 1150 ref 824 ref 1139 ref 1414 remove 1156 remove appTerm absTerm appTerm absTerm 1419 def 1415 ref appTerm 1420 def betaConv 1151 ref 1163 ref 1150 ref 1172 remove absTerm 1421 def appTerm 1422 def absTerm 1423 def 69 ref appTerm 1424 def betaConv nil 150 ref 1423 ref nil cons cons 1425 def nil cons nil cons cons 222 ref subst 1151 remove nil 24 ref 1422 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1170 ref 1421 remove nil cons cons nil cons nil cons cons 1169 ref 43 ref cons 1426 def 222 ref subst 1427 def subst 1150 ref nil 24 ref 1173 remove cons nil cons nil cons cons 33 ref subst 1195 remove eqMp absThm eqMp eqMp absThm eqMp nil 83 ref 63 ref 1423 remove appTerm nil cons cons 84 ref 1424 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 1425 remove 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1163 ref 1419 ref appTerm nil cons cons 84 ref 1420 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1169 ref 1170 ref 1419 remove nil cons cons 1171 ref 1415 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp absThm eqMp nil 83 ref 63 ref 1418 remove appTerm nil cons cons 84 ref 1413 ref cons nil cons 1428 def cons nil cons cons 144 ref subst proveHyp 182 ref 123 ref 1078 ref 64 ref 1138 ref 1139 remove 64 ref 1416 ref absTerm 1429 def 69 ref appTerm betaConv 1430 def 1140 ref refl appThm 1416 ref 1140 remove appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 1162 remove constTerm 1431 def refl 1432 def 1150 ref 1078 ref 64 ref 1430 remove 1155 ref 69 ref appTerm 1433 def refl appThm 1416 remove 1433 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 45 ref 822 ref nil cons 1434 def cons opType 1435 def var 1436 def 1429 remove nil cons cons nil cons nil cons cons "B" 1148 ref cons 1437 def 355 ref cons 43 ref cons 1121 ref subst 1438 def subst eqMp 1432 ref 1150 ref 123 ref 1078 ref 64 ref 23 ref 64 ref 531 ref 1433 ref 621 ref appTerm appTerm 69 ref appTerm absTerm 1439 def 69 ref appTerm betaConv 1440 def appThm 64 ref 178 ref 183 ref 531 ref 1433 ref 235 ref appTerm appTerm 1441 def 1415 remove 1433 remove 194 ref appTerm 1442 def appTerm 1443 def 194 ref appTerm appTerm absTerm appTerm absTerm 1444 def 69 ref appTerm betaConv 1445 def appThm absThm appThm appThm 23 ref 1078 ref 64 ref 1440 remove absThm appThm appThm 1078 ref 64 ref 1445 remove absThm appThm appThm appThm nil 161 ref 1439 ref nil cons cons "q" 61 ref var 1446 def 1444 remove nil cons cons nil cons cons nil cons cons 1446 ref 27 ref 63 ref 64 ref 935 ref 1446 ref varTerm 1447 def 69 ref appTerm 1448 def appTerm absTerm appTerm appTerm 10 ref 268 ref appTerm 1449 def 63 ref 64 ref 1448 ref absTerm 1450 def appTerm 1451 def appTerm appTerm absTerm 1452 def 1447 ref appTerm 1453 def betaConv 161 ref 254 ref 1452 ref appTerm 1454 def absTerm 1455 def 163 ref appTerm 1456 def betaConv nil 254 ref 1455 ref appTerm 1457 def axiom nil 83 ref 1457 remove nil cons cons 84 ref 1456 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 1455 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1454 remove nil cons cons 84 ref 1453 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 1452 remove nil cons cons 541 ref 1447 ref nil cons cons nil cons 1458 def cons nil cons cons 173 ref subst eqMp eqMp 1459 def subst eqMp 10 ref 63 ref 1439 remove appTerm appTerm 1460 def refl 1078 ref 64 ref 179 ref 183 ref 1441 ref refl 1443 remove betaConv 1146 ref appThm 1147 ref 1400 ref 1442 remove appTerm 1461 def absTerm 194 ref appTerm betaConv trans appThm absThm appThm absThm appThm appThm trans absThm appThm trans appThm 1405 ref refl appThm sym nil 1170 ref "s" 1149 ref var 1462 def 68 ref 1150 ref 1460 remove 63 ref 64 ref 178 ref 183 ref 1441 remove 1461 remove appTerm absTerm appTerm absTerm appTerm appTerm absTerm 1463 def 1462 ref varTerm 1464 def appTerm 1465 def appTerm 1405 ref appTerm 1466 def absTerm nil cons cons nil cons nil cons cons 1427 ref subst 1462 ref nil 24 ref 1466 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1465 ref nil cons 1467 def cons 1428 ref cons nil cons cons 1468 def 100 ref subst 1468 remove 157 ref subst 1465 ref betaConv 1465 remove assume eqMp nil 83 ref 10 ref 63 ref 64 ref 531 ref 1464 ref 69 ref appTerm 1469 def 621 ref appTerm 1470 def appTerm 1471 def 69 ref appTerm 1472 def absTerm 1473 def appTerm 1474 def appTerm 63 ref 64 ref 178 ref 183 ref 531 ref 1469 ref 235 ref appTerm 1475 def appTerm 1476 def 1400 ref 1469 ref 194 ref appTerm 1477 def appTerm 1478 def appTerm absTerm 1479 def appTerm 1480 def absTerm 1481 def appTerm 1482 def appTerm nil cons 1483 def cons 1428 remove cons nil cons cons 1484 def 144 ref subst proveHyp 1484 ref 100 ref subst 1484 remove 157 ref subst nil 119 ref 1474 ref nil cons 1485 def cons 1486 def 121 ref 1482 remove nil cons 1487 def cons nil cons cons nil cons cons 1488 def 135 ref subst 1488 remove 581 ref subst 1404 ref 64 ref 1398 ref 583 ref 183 ref 820 ref 163 ref 1477 ref appTerm 1489 def appTerm 1490 def absTerm 1491 def appTerm 1492 def appTerm 1493 def 1402 ref "select" const 1494 def 0 ref 61 ref 353 ref cons opType 1495 def constTerm 1496 def 255 ref 583 ref 183 ref 10 ref 759 ref 1477 ref appTerm 1497 def appTerm 10 ref 1490 ref appTerm 178 ref 187 ref 290 ref 163 ref 1469 ref 193 ref appTerm appTerm 1498 def appTerm absTerm 1499 def appTerm 1500 def appTerm 1501 def appTerm 1502 def absTerm 1503 def appTerm 1504 def absTerm 1505 def appTerm 1506 def appTerm 1507 def appTerm "something_arbitrary" 46 ref var 1508 def varTerm 1509 def appTerm 1510 def absTerm 1511 def appTerm betaConv sym nil 150 ref 64 ref 739 ref 1511 ref 69 ref appTerm 1512 def appTerm 1399 remove 1511 ref 1401 ref appTerm 1513 def appTerm 1403 ref appTerm appTerm 1514 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 1514 remove nil cons 1515 def cons nil cons nil cons cons 33 ref subst 1078 ref 64 ref 531 ref refl 1516 def nil 64 ref 1401 ref nil cons cons nil cons nil cons cons 1517 def 1473 ref 69 ref appTerm 1518 def betaConv nil 83 ref 1485 remove cons 1519 def 84 ref 1518 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 1473 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp 1520 def subst appThm 1230 remove 1479 ref 194 ref appTerm 1521 def betaConv 1481 ref 69 ref appTerm 1522 def betaConv nil 83 ref 1487 remove cons 84 ref 1522 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 1481 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1480 remove nil cons cons 84 ref 1521 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 1479 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp 1523 def subst 1400 ref refl 1524 def 1520 ref appThm trans appThm 1517 ref 638 ref subst trans absThm appThm 306 ref 318 ref subst 1525 def trans sym 32 ref eqMp nil 83 ref 63 ref 64 ref 531 ref 1464 ref 1401 remove appTerm 1526 def 621 ref appTerm appTerm 1469 ref 645 ref appTerm appTerm absTerm appTerm 1527 def nil cons cons 84 ref 178 ref 183 ref 68 ref 63 ref 64 ref 531 ref 1526 ref 194 ref appTerm appTerm 1475 ref appTerm absTerm 1528 def appTerm 1529 def appTerm 63 ref 64 ref 531 ref 1526 remove 235 ref appTerm appTerm 1469 ref 1250 remove appTerm appTerm absTerm appTerm 1530 def appTerm 1531 def absTerm 1532 def appTerm 1533 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 206 ref 1532 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 1531 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1529 ref nil cons 1534 def cons 1535 def 84 ref 1530 remove nil cons 1536 def cons nil cons cons nil cons cons 1537 def 100 ref subst 1537 remove 157 ref subst 1078 ref 64 ref 1516 ref 1517 remove 1523 ref subst 1524 ref 1528 ref 69 ref appTerm 1538 def betaConv 1539 def nil 1535 remove 84 ref 1538 remove nil cons cons nil cons cons nil cons cons 144 ref subst 1540 def 355 ref 150 ref 1528 remove nil cons cons 357 ref cons nil cons cons 173 ref subst 1541 def eqMp eqMp 1523 ref trans appThm trans appThm 1277 remove 1523 ref subst 1524 remove 1523 remove appThm trans appThm nil 64 ref 1400 ref 1478 remove appTerm nil cons cons nil cons nil cons cons 638 ref subst trans absThm appThm 1525 ref trans sym 32 ref eqMp eqMp nil 119 ref 1534 remove cons 121 ref 1536 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 83 ref 10 ref 1527 remove appTerm 1533 remove appTerm nil cons cons 84 ref 178 ref 183 ref 1529 remove absTerm 1542 def appTerm 1543 def nil cons 1544 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 1542 ref 621 ref appTerm betaConv appThm 179 ref 183 ref 182 ref 1542 ref 194 ref appTerm 1545 def betaConv 1546 def appThm 1542 ref 235 ref appTerm betaConv appThm absThm appThm appThm appThm 179 ref 183 ref 1546 ref absThm appThm appThm nil 287 ref 1542 remove nil cons 1547 def cons nil cons nil cons cons 697 ref subst eqMp eqMp nil 1019 ref 84 ref 1515 ref cons nil cons 1548 def cons nil cons cons 1549 def 100 ref subst 1549 remove 157 ref subst 739 ref refl 1550 def 1512 remove betaConv appThm 1551 def 1398 ref refl 1552 def 1043 ref appThm 1513 remove betaConv 1552 ref 1345 ref 183 ref 932 ref 1227 ref 1539 remove 1546 remove nil 83 ref 1544 ref cons 1553 def 84 ref 1545 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 1547 remove cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp 1540 remove proveHyp 1541 remove eqMp eqMp 1554 def appThm appThm 1555 def absThm appThm appThm 1402 ref refl 1556 def 1496 ref refl 1557 def 255 ref 1345 ref 183 ref 23 ref 759 ref refl 1558 def 1554 ref appThm appThm 23 ref 1555 remove appThm 179 ref 187 ref 290 ref refl 1559 def 1227 ref nil 183 ref 207 ref cons nil cons nil cons cons 1554 remove subst appThm appThm absThm appThm appThm appThm absThm appThm absThm appThm appThm appThm 1509 ref refl 1560 def appThm trans 1561 def appThm 1403 ref refl 1562 def appThm nil "t2" 46 ref var 1563 def 1403 ref nil cons cons "t1" 46 ref var 1564 def 1398 ref 583 ref 183 ref 820 ref 163 ref 1475 ref appTerm appTerm 1565 def absTerm appTerm 1566 def appTerm 1402 ref 1496 ref 255 ref 583 ref 183 ref 10 ref 759 ref 1475 remove appTerm 1567 def appTerm 1568 def 10 ref 1565 ref appTerm 1569 def 178 ref 187 ref 290 ref 163 ref 1469 ref 198 ref appTerm appTerm appTerm absTerm appTerm 1570 def appTerm appTerm absTerm appTerm absTerm appTerm appTerm 1571 def appTerm 1509 ref appTerm 1572 def nil cons cons nil cons cons nil cons cons 1573 def "A" 727 ref cons 1574 def nil cons 1575 def 43 ref cons 1576 def "t2" 45 ref var 1577 def 531 ref 1397 ref 0 ref 2 ref 0 ref 45 ref 1130 ref cons opType nil cons cons opType constTerm 1578 def 841 ref appTerm 1579 def "t1" 45 ref var 1580 def varTerm 1581 def appTerm 1577 ref varTerm 1582 def appTerm appTerm 1582 ref appTerm absTerm 1583 def 1582 ref appTerm 1584 def betaConv 1580 ref 63 ref 1583 ref appTerm 1585 def absTerm 1586 def 1581 ref appTerm 1587 def betaConv nil 63 ref 1586 ref appTerm 1588 def axiom nil 83 ref 1588 remove nil cons cons 84 ref 1587 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 1586 remove nil cons cons 64 ref 1581 ref nil cons cons nil cons 1589 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1585 remove nil cons cons 84 ref 1584 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 1583 remove nil cons cons 64 ref 1582 ref nil cons cons nil cons 1590 def cons nil cons cons 173 ref subst eqMp eqMp 1591 def subst 1592 def subst trans appThm sym 123 ref "_14670" 46 ref var 1593 def 739 ref 1593 remove varTerm appTerm 1403 ref appTerm absTerm 1594 def 1510 ref appTerm betaConv appThm 23 ref 68 ref 1492 ref appTerm 1595 def refl 1596 def 1594 ref 1507 ref appTerm betaConv appThm appThm 68 ref 820 ref 1492 ref appTerm 1597 def appTerm 1598 def refl 1599 def 1594 ref 1509 ref appTerm betaConv appThm appThm appThm nil "_485" 46 ref var 1509 ref nil cons 1600 def cons "_482" 46 ref var 1507 ref nil cons cons "_483" 2 ref var 1601 def 1492 ref nil cons 1602 def cons nil cons cons cons nil cons cons 1603 def nil "_484" 47 ref var 1604 def 1594 remove nil cons cons nil cons nil cons cons 1576 ref nil 64 ref "_482" 45 ref var varTerm nil cons cons "c" 2 ref var 1605 def 1601 ref varTerm nil cons cons 161 ref "_484" 61 ref var varTerm nil cons cons 255 ref "_485" 45 ref var varTerm nil cons cons nil cons cons cons cons nil cons cons 255 ref 27 ref 163 ref 1578 ref 1605 ref varTerm 1606 def appTerm 69 ref appTerm 256 ref appTerm appTerm appTerm 10 ref 68 ref 1606 ref appTerm 263 ref appTerm appTerm 68 ref 820 ref 1606 ref appTerm appTerm 260 ref appTerm appTerm appTerm absTerm 1607 def 256 ref appTerm 1608 def betaConv 64 ref 63 ref 1607 ref appTerm 1609 def absTerm 1610 def 69 ref appTerm 1611 def betaConv 1605 ref 63 ref 1610 ref appTerm 1612 def absTerm 1613 def 1606 ref appTerm 1614 def betaConv 161 ref 311 ref 1613 ref appTerm 1615 def absTerm 1616 def 163 ref appTerm 1617 def betaConv nil 254 ref 1616 ref appTerm 1618 def axiom nil 83 ref 1618 remove nil cons cons 84 ref 1617 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 1616 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1615 remove nil cons cons 84 ref 1614 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1613 remove nil cons cons 315 ref 1606 ref nil cons 1619 def cons nil cons 1620 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1612 remove nil cons cons 84 ref 1611 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 1610 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1609 remove nil cons cons 84 ref 1608 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 1607 remove nil cons cons 767 ref cons nil cons cons 173 ref subst eqMp eqMp subst 1621 def subst 1622 def subst subst eqMp sym nil 83 ref 1602 ref cons 1623 def 84 ref 739 ref 1507 ref appTerm 1624 def 1403 ref appTerm 1625 def nil cons 1626 def cons nil cons cons nil cons cons 1627 def 100 ref subst 1627 remove 157 ref subst 1556 ref 1078 ref 255 ref 123 ref 1505 ref 256 ref appTerm 1628 def betaConv appThm 760 ref refl 1629 def appThm absThm appThm sym nil 150 ref 255 ref 27 ref 1504 ref appTerm 760 ref appTerm 1630 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 255 ref nil 24 ref 1630 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1504 ref nil cons 1631 def cons 84 ref 760 ref nil cons 1632 def cons 1633 def nil cons 1634 def cons nil cons cons 975 ref subst 123 ref 182 ref 1345 ref 183 ref 1503 ref 194 ref appTerm betaConv 1635 def absThm appThm 1636 def appThm 1629 ref appThm appThm 179 ref 183 ref 182 ref 1635 ref appThm 1629 ref appThm absThm appThm appThm nil 287 ref 1503 remove nil cons 1637 def cons 1634 remove cons nil cons cons 221 ref 84 ref 27 ref 934 ref 87 ref appTerm appTerm 335 remove appTerm absTerm 1638 def 87 ref appTerm 1639 def betaConv 161 ref 311 ref 1638 ref appTerm 1640 def absTerm 1641 def 163 ref appTerm 1642 def betaConv nil 254 ref 1641 ref appTerm 1643 def axiom nil 83 ref 1643 remove nil cons cons 84 ref 1642 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 1641 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1640 remove nil cons cons 84 ref 1639 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1638 remove nil cons cons 315 ref 115 ref cons nil cons 1644 def cons nil cons cons 173 ref subst eqMp eqMp subst subst eqMp 179 ref 183 ref nil 83 ref 1502 ref nil cons 1645 def cons 1646 def 84 ref 27 ref 760 ref appTerm 1647 def 531 ref 1477 remove appTerm 69 ref appTerm 1648 def appTerm 1649 def nil cons 1650 def cons nil cons cons nil cons cons 1651 def 100 ref subst 1651 remove 157 ref subst 1516 ref nil 119 ref 1497 ref nil cons 1652 def cons 121 ref 1501 remove nil cons 1653 def cons nil cons cons nil cons cons 135 ref subst appThm 172 ref appThm eqMp nil 119 ref 1645 ref cons 121 ref 1650 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 68 ref 1502 ref appTerm 1654 def 1649 remove appTerm nil cons cons 84 ref 27 ref 1654 ref 760 ref appTerm appTerm 1655 def 1654 ref 1648 ref appTerm 1656 def appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil "q'" 2 ref var 1657 def 1648 ref nil cons 1658 def cons nil cons nil cons cons 1502 ref refl nil 83 ref 27 ref 1502 ref appTerm 1659 def 1502 remove appTerm nil cons cons 84 ref 68 ref 1654 ref 1647 remove 1657 ref varTerm 1660 def appTerm 1661 def appTerm appTerm 1655 ref 1654 remove 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil "p'" 2 ref var 1662 def 1645 remove cons nil cons nil cons cons 1657 ref 68 ref 1659 remove 1662 ref varTerm 1663 def appTerm appTerm 68 ref 68 ref 1663 ref appTerm 1664 def 1661 remove appTerm appTerm 1655 remove 1664 ref 1660 ref appTerm 1665 def appTerm appTerm appTerm absTerm 1666 def 1660 ref appTerm 1667 def betaConv 1662 ref 311 ref 1666 ref appTerm 1668 def absTerm 1669 def 1663 ref appTerm 1670 def betaConv nil 1633 remove 1646 ref nil cons cons nil cons cons nil 314 ref 1662 ref 311 ref 1657 ref 68 ref 429 ref 1663 ref appTerm 1671 def appTerm 68 ref 1664 ref 27 ref 87 ref appTerm 1660 ref appTerm 1672 def appTerm 1673 def appTerm 89 ref 1665 ref appTerm 1674 def appTerm 1675 def appTerm 1676 def absTerm 1677 def appTerm 1678 def absTerm nil cons cons nil cons nil cons cons 344 ref subst 1662 ref nil 24 ref 1678 remove nil cons cons nil cons nil cons cons 33 ref subst nil 314 ref 1677 remove nil cons cons nil cons nil cons cons 344 ref subst 1657 ref nil 24 ref 1676 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1671 remove nil cons 1679 def cons 1680 def 84 ref 1675 remove nil cons 1681 def cons nil cons cons nil cons cons 1682 def 100 ref subst 1682 remove 157 ref subst nil 83 ref 1673 ref nil cons 1683 def cons 84 ref 1674 remove nil cons 1684 def cons nil cons cons nil cons cons 1685 def 100 ref subst 1685 remove 157 ref subst nil 964 ref 84 ref 1665 ref nil cons 1686 def cons nil cons cons nil cons cons 1687 def 975 ref subst 1687 ref 100 ref subst 1687 remove 157 ref subst nil 83 ref 1663 ref nil cons 1688 def cons 1689 def 84 ref 1660 ref nil cons 1690 def cons nil cons 1691 def cons nil cons cons 1692 def 100 ref subst 1692 ref 157 ref subst nil 1680 ref 84 ref 86 ref 1663 ref appTerm 1693 def nil cons 1694 def cons nil cons cons nil cons cons 144 ref subst nil 83 ref 112 ref cons 1695 def 84 ref 1688 ref cons nil cons cons nil cons cons 1696 def 440 ref subst eqMp 1697 def nil 83 ref 1694 ref cons 1698 def 1691 ref cons nil cons cons 1699 def 144 ref subst proveHyp nil 1680 remove 84 ref 1664 ref 85 ref appTerm 1700 def nil cons 1701 def cons nil cons cons nil cons cons 144 ref subst 1696 ref nil 432 remove 966 remove cons nil cons cons 1702 def 100 ref subst 1702 remove 157 ref subst 970 remove eqMp nil 438 remove 973 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1703 def subst eqMp 1704 def nil 83 ref 1701 ref cons 1705 def 84 ref 68 ref 1693 ref appTerm 1706 def 1660 ref appTerm nil cons 1707 def cons nil cons cons nil cons cons 1708 def 144 ref subst proveHyp 1708 ref 100 ref subst 1708 remove 157 ref subst 1699 ref 100 ref subst 1699 remove 157 ref subst nil 1689 ref 971 remove cons nil cons cons 144 ref subst 1700 remove assume eqMp 1709 def 1696 remove 144 ref subst 1693 remove assume eqMp 1710 def 1709 remove proveHyp proveHyp nil 1689 remove 84 ref 1672 remove nil cons 1711 def cons nil cons cons nil cons cons 144 ref subst 1673 remove assume eqMp 1712 def nil 83 ref 1711 remove cons 1713 def 84 ref 924 remove 1660 ref appTerm 1714 def nil cons 1715 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil 967 ref 1691 ref cons nil cons cons 1716 def 440 ref subst eqMp 1717 def nil 83 ref 1715 ref cons 1718 def 1691 remove cons nil cons cons 1719 def 144 ref subst proveHyp 1712 remove nil 1713 remove 84 ref 68 ref 1660 ref appTerm 87 ref appTerm 1720 def nil cons 1721 def cons nil cons cons nil cons cons 144 ref subst proveHyp 1716 ref 1703 remove subst eqMp 1722 def nil 83 ref 1721 ref cons 1723 def 84 ref 68 ref 1714 ref appTerm 1724 def 1660 ref appTerm nil cons 1725 def cons nil cons cons nil cons cons 1726 def 144 ref subst proveHyp 1726 ref 100 ref subst 1726 remove 157 ref subst 1719 ref 100 ref subst 1719 remove 157 ref subst 143 ref 1716 remove 144 ref subst 1714 remove assume eqMp proveHyp eqMp nil 119 ref 1715 remove cons 1727 def 121 ref 1690 ref cons nil cons 1728 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 1721 remove cons 1729 def 121 ref 1725 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 119 ref 1694 remove cons 1730 def 1728 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 1701 remove cons 1731 def 121 ref 1707 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 119 ref 1688 ref cons 1728 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 972 ref 121 ref 1686 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 68 ref 88 ref appTerm 1732 def 1665 ref appTerm nil cons cons 84 ref 68 ref 1665 ref appTerm 88 ref appTerm nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 83 ref 1686 ref cons 434 remove cons nil cons cons 1733 def 100 ref subst 1733 remove 157 ref subst 100 ref 157 ref 1697 remove nil 1698 remove 968 ref cons nil cons cons 1734 def 144 ref subst proveHyp 1704 remove nil 1705 remove 84 ref 1706 remove 87 ref appTerm nil cons 1735 def cons nil cons cons nil cons cons 1736 def 144 ref subst proveHyp 1736 ref 100 ref subst 1736 remove 157 ref subst 1734 ref 100 ref subst 1734 remove 157 ref subst 1710 remove 1717 remove nil 1718 remove 968 ref cons nil cons cons 1737 def 144 ref subst proveHyp 1722 remove nil 1723 remove 84 ref 1724 remove 87 ref appTerm nil cons 1738 def cons nil cons cons nil cons cons 1739 def 144 ref subst proveHyp 1739 ref 100 ref subst 1739 remove 157 ref subst 1737 ref 100 ref subst 1737 remove 157 ref subst 1692 remove 144 ref subst 1665 ref assume eqMp nil 83 ref 1690 ref cons 968 ref cons nil cons cons 144 ref subst 1720 remove assume eqMp proveHyp eqMp nil 1727 remove 122 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 1729 remove 121 ref 1738 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 1730 remove 122 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 1731 remove 121 ref 1735 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp 136 remove deductAntisym eqMp eqMp nil 119 ref 1686 remove cons 439 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 119 ref 1683 remove cons 121 ref 1684 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 1679 remove cons 121 ref 1681 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp 1740 def subst nil 83 ref 311 ref 1669 ref appTerm nil cons cons 84 ref 1670 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1669 remove nil cons cons 315 ref 1688 remove cons nil cons 1741 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1668 remove nil cons cons 84 ref 1667 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1666 remove nil cons cons 315 ref 1690 remove cons nil cons 1742 def cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp absThm appThm trans sym 182 ref 23 ref 1558 ref 1520 ref appThm appThm 1743 def 23 ref 932 ref 1227 ref 1520 ref appThm 1744 def 1043 ref trans appThm 876 ref trans appThm 178 ref 187 ref 68 ref 288 ref 621 ref appTerm 1745 def appTerm 1498 ref appTerm absTerm appTerm 1746 def refl 1747 def appThm nil 24 ref 1746 ref nil cons cons nil cons nil cons cons 1748 def 324 ref subst trans appThm appThm 1516 ref 1520 ref appThm 172 ref appThm 638 ref trans appThm nil 24 ref 10 ref 760 ref appTerm 1749 def 1746 ref appTerm nil cons cons nil cons nil cons cons 24 ref 27 ref 1087 remove 30 ref appTerm appTerm 30 ref appTerm absTerm 1750 def 28 ref appTerm 1751 def betaConv nil 311 ref 1750 ref appTerm 1752 def axiom nil 83 ref 1752 remove nil cons cons 84 ref 1751 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1750 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 1753 def subst trans sym 32 ref eqMp nil 83 ref 68 ref 10 ref 759 ref 1470 ref appTerm appTerm 10 ref 820 ref 163 ref 1470 ref appTerm 1754 def appTerm 1755 def appTerm 1746 remove appTerm appTerm 1756 def appTerm 1472 ref appTerm 1757 def nil cons cons 84 ref 178 ref 183 ref 68 ref 1656 ref appTerm 1758 def 68 ref 1568 ref 1569 ref 178 ref 187 ref 68 ref 288 ref 235 ref appTerm 1759 def appTerm 1760 def 1498 ref appTerm absTerm appTerm 1761 def appTerm appTerm 1762 def appTerm 1476 remove 69 ref appTerm 1763 def appTerm 1764 def appTerm 1765 def absTerm 1766 def appTerm 1767 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 206 ref 1766 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 1765 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1656 ref nil cons 1768 def cons 1769 def 84 ref 1764 ref nil cons 1770 def cons nil cons cons nil cons cons 1771 def 100 ref subst 1771 remove 157 ref subst nil 83 ref 1770 ref cons nil cons nil cons cons 429 ref refl 1772 def nil 24 ref 820 ref 85 ref appTerm 1773 def nil cons 1774 def cons nil cons nil cons cons 1386 ref subst appThm sym 1772 remove 113 ref 874 ref subst 1775 def appThm nil 315 ref 112 ref cons nil cons 1776 def nil cons cons 805 ref subst trans sym 32 ref eqMp eqMp 1777 def subst sym nil 83 ref 820 ref 1764 remove appTerm 1778 def nil cons 1779 def cons 1780 def 1032 ref cons nil cons cons 1781 def 100 ref subst 1781 remove 157 ref subst nil 178 ref 183 ref 22 ref 621 ref appTerm 1782 def 235 ref appTerm 1783 def absTerm 1784 def appTerm 1785 def axiom 1786 def nil 83 ref 1785 ref nil cons 1787 def cons 1788 def 1032 ref cons nil cons cons 1789 def 144 ref subst proveHyp nil 1780 ref 84 ref 68 ref 1785 ref appTerm 1790 def 841 ref appTerm 1791 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1769 ref 84 ref 68 ref 1778 ref appTerm 1792 def 1791 remove appTerm 1793 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1623 ref 84 ref 1758 ref 1793 remove appTerm 1794 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1019 ref 84 ref 1595 ref 1794 remove appTerm 1795 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1553 ref 84 ref 68 ref 952 ref appTerm 1796 def 1795 remove appTerm 1797 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1519 ref 84 ref 68 ref 1543 remove appTerm 1798 def 1797 remove appTerm 1799 def nil cons cons nil cons cons nil cons cons 144 ref subst 1395 ref 68 ref 1474 remove appTerm 1800 def 1799 remove appTerm absTerm 1801 def 1400 ref appTerm 1802 def betaConv 255 ref 1321 ref 1801 ref appTerm 1803 def absTerm 1804 def 256 ref appTerm 1805 def betaConv 161 ref 63 ref 1804 ref appTerm 1806 def absTerm 1807 def 163 ref appTerm 1808 def betaConv 1462 ref 254 ref 1807 ref appTerm 1809 def absTerm 1810 def 1464 ref appTerm 1811 def betaConv 183 ref 1163 ref 1810 ref appTerm 1812 def absTerm 1813 def 194 ref appTerm 1814 def betaConv 64 ref 178 ref 1813 ref appTerm 1815 def absTerm 1816 def 69 ref appTerm 1817 def betaConv 1078 ref 64 ref 179 ref 183 ref 1163 ref refl 1818 def 1462 ref 948 ref 161 ref 1078 ref 255 ref 1321 ref refl 1819 def 1395 ref 1800 ref refl 1820 def 1798 ref refl 1821 def 1796 ref refl 1822 def 1596 ref 1758 ref refl 1792 ref refl nil 24 ref 1787 ref cons nil cons nil cons cons 1386 ref subst 1823 def appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 150 ref 64 ref 178 ref 183 ref 1163 ref 1462 ref 254 ref 161 ref 63 ref 255 ref 1321 ref 1395 ref 1800 ref 1798 ref 1796 ref 1595 ref 1758 remove 1792 remove 820 ref 1785 remove appTerm 1824 def appTerm 1825 def appTerm 1826 def appTerm 1827 def appTerm 1828 def appTerm 1829 def appTerm 1830 def absTerm 1831 def appTerm 1832 def absTerm 1833 def appTerm 1834 def absTerm 1835 def appTerm 1836 def absTerm 1837 def appTerm 1838 def absTerm 1839 def appTerm 1840 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 1840 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 1839 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 1838 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1170 ref 1837 remove nil cons cons nil cons nil cons cons 1427 ref subst 1462 ref nil 24 ref 1836 remove nil cons cons nil cons nil cons cons 33 ref subst nil 540 ref 1835 remove nil cons cons nil cons nil cons cons 978 ref subst 161 ref nil 24 ref 1834 remove nil cons cons nil cons nil cons cons 33 ref subst nil 150 ref 1833 remove nil cons cons nil cons nil cons cons 222 ref subst 255 ref nil 24 ref 1832 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1123 ref 1831 remove nil cons cons nil cons nil cons cons 1132 ref subst 1395 ref nil 24 ref 1830 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1519 ref 84 ref 1829 remove nil cons 1841 def cons nil cons cons nil cons cons 1842 def 100 ref subst 1842 remove 157 ref subst nil 1553 ref 84 ref 1828 remove nil cons 1843 def cons nil cons cons nil cons cons 1844 def 100 ref subst 1844 remove 157 ref subst nil 1019 ref 84 ref 1827 remove nil cons 1845 def cons nil cons cons nil cons cons 1846 def 100 ref subst 1846 remove 157 ref subst nil 1623 ref 84 ref 1826 remove nil cons 1847 def cons nil cons cons nil cons cons 1848 def 100 ref subst 1848 remove 157 ref subst nil 1769 remove 84 ref 1825 remove nil cons 1849 def cons nil cons cons nil cons cons 1850 def 100 ref subst 1850 remove 157 ref subst nil 1780 remove 84 ref 1824 remove nil cons 1851 def cons nil cons cons nil cons cons 1852 def 100 ref subst 1852 remove 157 ref subst 1823 remove 1789 ref 100 ref subst 1789 remove 157 ref subst nil 1646 remove 84 ref 1658 ref cons nil cons 1853 def cons nil cons cons nil 83 ref 429 ref 841 ref appTerm 1854 def nil cons 1855 def cons 1856 def 84 ref 89 remove 901 ref 1773 ref appTerm 1857 def 87 ref appTerm 1858 def appTerm nil cons 1859 def cons nil cons 1860 def cons nil cons cons 1861 def 100 ref subst 1861 remove 157 ref subst 27 ref "_542" 2 ref var 1862 def 27 ref 68 ref 1862 remove varTerm 1863 def appTerm 87 ref appTerm appTerm 901 ref 820 ref 1863 remove appTerm appTerm 87 ref appTerm appTerm absTerm 1864 def 85 ref appTerm 1865 def appTerm refl 1866 def 1864 ref 841 ref appTerm betaConv appThm 123 ref 1865 remove betaConv appThm 1867 def 27 ref 1035 ref 87 ref appTerm 1868 def appTerm 901 ref 858 ref appTerm 1869 def 87 ref appTerm 1870 def appTerm refl appThm trans 1864 remove refl 1871 def 1854 remove assume 1872 def appThm eqMp sym 123 ref 116 ref 1049 ref subst 1873 def appThm 901 ref refl 1874 def 876 ref appThm 1875 def 95 ref appThm 116 ref 24 ref 27 ref 901 ref 30 ref appTerm 1876 def 28 ref appTerm appTerm 30 ref appTerm absTerm 1877 def 28 ref appTerm 1878 def betaConv nil 311 ref 1877 ref appTerm 1879 def axiom nil 83 ref 1879 remove nil cons cons 84 ref 1878 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1877 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 1880 def subst 1881 def trans 1882 def appThm 306 ref 882 ref subst 1883 def trans sym 32 ref eqMp eqMp eqMp nil 119 ref 1855 ref cons 1884 def 121 ref 1859 ref cons nil cons 1885 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 429 remove 30 ref appTerm 1886 def nil cons 1887 def cons 1888 def 1860 remove cons nil cons cons 1889 def 100 ref subst 1889 remove 157 ref subst 1866 remove "_540" 2 ref var 1890 def 27 ref 68 ref 1890 remove varTerm 1891 def appTerm 87 ref appTerm appTerm 901 ref 820 ref 1891 remove appTerm appTerm 87 ref appTerm appTerm absTerm 30 ref appTerm betaConv appThm 1867 remove 27 ref 1059 ref 87 ref appTerm 1892 def appTerm 901 ref 894 ref appTerm 1893 def 87 ref appTerm 1894 def appTerm refl appThm trans 1871 remove 1886 remove assume 1895 def appThm eqMp sym 123 ref 116 ref 1063 ref subst 1896 def appThm 1874 ref 897 ref appThm 1897 def 95 ref appThm 116 ref 24 ref 27 ref 901 ref 841 ref appTerm 1898 def 28 ref appTerm appTerm 28 ref appTerm absTerm 1899 def 28 ref appTerm 1900 def betaConv nil 311 ref 1899 ref appTerm 1901 def axiom nil 83 ref 1901 remove nil cons cons 84 ref 1900 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1899 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 1902 def subst 1903 def trans 1904 def appThm nil 1644 ref nil cons cons 805 ref subst 1905 def trans sym 32 ref eqMp eqMp eqMp nil 119 ref 1887 remove cons 1906 def 1885 remove cons nil cons cons 135 ref subst deductAntisym eqMp 902 ref 85 ref appTerm 1907 def betaConv 905 ref nil 906 ref 84 ref 1907 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 907 ref 1776 ref cons nil cons cons 173 ref subst eqMp eqMp 1908 def nil 1906 ref 121 ref 1855 remove cons 1909 def 911 ref 1859 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 1910 def subst 1874 ref nil 83 ref 1652 remove cons 84 ref 1653 remove cons nil cons cons nil cons cons nil 1856 ref 84 ref 27 ref 820 ref 91 ref appTerm appTerm 1857 remove 820 ref 87 ref appTerm 1911 def appTerm appTerm nil cons 1912 def cons nil cons 1913 def cons nil cons cons 1914 def 100 ref subst 1914 remove 157 ref subst 27 ref "_534" 2 ref var 1915 def 27 ref 820 ref 10 ref 1915 remove varTerm 1916 def appTerm 87 ref appTerm appTerm appTerm 901 ref 820 ref 1916 remove appTerm appTerm 1911 ref appTerm appTerm absTerm 1917 def 85 ref appTerm 1918 def appTerm refl 1919 def 1917 ref 841 ref appTerm betaConv appThm 123 ref 1918 remove betaConv appThm 1920 def 27 ref 820 ref 10 ref 841 ref appTerm 1921 def 87 ref appTerm 1922 def appTerm appTerm 1869 ref 1911 ref appTerm appTerm refl appThm trans 1917 remove refl 1923 def 1872 ref appThm eqMp sym 123 ref 932 ref 116 ref 24 ref 27 ref 1921 ref 28 ref appTerm appTerm 841 ref appTerm absTerm 1924 def 28 ref appTerm 1925 def betaConv nil 311 ref 1924 ref appTerm 1926 def axiom nil 83 ref 1926 remove nil cons cons 84 ref 1925 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 1924 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 1927 def subst 1928 def appThm 876 ref trans appThm 1875 ref 1911 ref refl 1929 def appThm nil 24 ref 1911 ref nil cons 1930 def cons nil cons nil cons cons 1931 def 1880 ref subst 1932 def trans appThm 1883 ref trans sym 32 ref eqMp eqMp eqMp nil 1884 ref 121 ref 1912 ref cons nil cons 1933 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 1888 ref 1913 remove cons nil cons cons 1934 def 100 ref subst 1934 remove 157 ref subst 1919 remove "_532" 2 ref var 1935 def 27 ref 820 ref 10 ref 1935 remove varTerm 1936 def appTerm 87 ref appTerm appTerm appTerm 901 ref 820 ref 1936 remove appTerm appTerm 1911 ref appTerm appTerm absTerm 30 ref appTerm betaConv appThm 1920 remove 27 ref 820 ref 320 ref 87 ref appTerm 1937 def appTerm appTerm 1893 ref 1911 ref appTerm appTerm refl appThm trans 1923 remove 1895 ref appThm eqMp sym 123 ref 932 ref 116 ref 324 ref subst 1938 def appThm appThm 1897 ref 1929 ref appThm 1931 ref 1902 ref subst 1939 def trans appThm nil 315 ref 1930 remove cons nil cons nil cons cons 805 ref subst 1940 def trans sym 32 ref eqMp eqMp eqMp nil 1906 ref 1933 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1908 ref nil 1906 ref 1909 ref 911 ref 1912 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 1941 def subst 1874 ref 820 ref 1497 remove appTerm 1942 def refl appThm 1943 def nil 83 ref 1490 remove nil cons 1944 def cons 1945 def 84 ref 1500 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 1874 ref nil 83 ref 1489 ref nil cons 1946 def cons 1947 def nil cons 1948 def nil cons cons 1775 ref subst 1949 def appThm nil 206 ref 1499 ref nil cons cons nil cons nil cons cons 221 ref 123 ref 932 ref 1078 ref nil "t" 61 ref var 151 ref nil cons 1950 def cons nil cons nil cons cons 787 ref "t" 728 ref var 1951 def 733 ref 1951 ref varTerm 1952 def appTerm 64 ref 1952 ref 69 ref appTerm absTerm 1953 def appTerm 1954 def absTerm 1955 def 1952 ref appTerm 1956 def betaConv 753 ref 1951 ref 1954 remove assume sym 733 ref 1953 remove appTerm 1952 ref appTerm 1957 def assume sym deductAntisym absThm appThm nil 749 ref 1951 remove 1957 remove absTerm appTerm axiom eqMp nil 83 ref 749 ref 1955 ref appTerm nil cons cons 84 ref 1956 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 1955 remove nil cons cons 774 ref 1952 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst subst 1958 def appThm appThm appThm 331 ref 64 ref 820 ref 154 ref appTerm 1959 def absTerm 1960 def appTerm refl appThm sym nil 161 ref 1950 ref cons nil cons nil cons cons 1961 def 957 ref subst eqMp 1962 def subst 1963 def subst 1345 ref 187 ref 932 ref 1499 remove 193 ref appTerm betaConv appThm nil 83 ref 289 ref nil cons 1964 def cons 1965 def 84 ref 1498 ref nil cons cons nil cons 1966 def cons nil cons cons nil 1856 ref 84 ref 27 ref 820 ref 88 remove appTerm appTerm 90 ref 1911 ref appTerm 1967 def appTerm nil cons 1968 def cons nil cons 1969 def cons nil cons cons 1970 def 100 ref subst 1970 remove 157 ref subst 27 ref "_546" 2 ref var 1971 def 27 ref 820 ref 68 ref 1971 remove varTerm 1972 def appTerm 87 ref appTerm appTerm appTerm 10 ref 1972 remove appTerm 1911 ref appTerm appTerm absTerm 1973 def 85 ref appTerm 1974 def appTerm refl 1975 def 1973 ref 841 ref appTerm betaConv appThm 123 ref 1974 remove betaConv appThm 1976 def 27 ref 820 ref 1868 remove appTerm appTerm 1921 ref 1911 ref appTerm 1977 def appTerm refl appThm trans 1973 remove refl 1978 def 1872 ref appThm eqMp sym 123 ref 932 ref 1873 remove appThm 897 ref trans appThm 1931 ref 1927 ref subst 1979 def appThm nil 24 ref 1031 ref cons nil cons nil cons cons 1980 def 868 ref subst 876 ref trans 1981 def trans sym 32 ref eqMp eqMp eqMp nil 1884 ref 121 ref 1968 ref cons nil cons 1982 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 1888 ref 1969 remove cons nil cons cons 1983 def 100 ref subst 1983 remove 157 ref subst 1975 remove "_544" 2 ref var 1984 def 27 ref 820 ref 68 ref 1984 remove varTerm 1985 def appTerm 87 ref appTerm appTerm appTerm 10 ref 1985 remove appTerm 1911 ref appTerm appTerm absTerm 30 ref appTerm betaConv appThm 1976 remove 27 ref 820 ref 1892 remove appTerm appTerm 320 ref 1911 ref appTerm 1986 def appTerm refl appThm trans 1978 remove 1895 ref appThm eqMp sym 123 ref 932 ref 1896 remove appThm appThm 1931 ref 324 ref subst 1987 def appThm 1940 ref trans sym 32 ref eqMp eqMp eqMp nil 1906 ref 1982 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1908 ref nil 1906 ref 1909 ref 911 ref 1968 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 1988 def subst trans absThm appThm trans appThm trans appThm trans 1989 def appThm 1648 ref refl 1990 def appThm trans 1874 ref 1943 ref 123 ref 901 ref 1489 ref appTerm 1991 def refl 1992 def 1345 ref 187 ref 187 ref 465 ref 820 ref 1498 ref appTerm appTerm 1993 def absTerm 1994 def 193 ref appTerm betaConv 1995 def absThm appThm appThm appThm 1345 ref 187 ref 1992 remove 1995 remove appThm absThm appThm appThm nil "q" 4 ref var 1996 def 1994 remove nil cons cons 1948 remove cons nil cons cons 221 ref 1446 ref 27 ref 901 ref 85 ref appTerm 1997 def 331 ref 1450 remove appTerm 1998 def appTerm appTerm 331 ref 64 ref 1997 ref 1448 ref appTerm absTerm 1999 def appTerm appTerm absTerm 2000 def 1447 ref appTerm 2001 def betaConv 83 ref 254 ref 2000 ref appTerm 2002 def absTerm 2003 def 85 ref appTerm 2004 def betaConv nil 311 ref 2003 ref appTerm 2005 def axiom nil 83 ref 2005 remove nil cons cons 84 ref 2004 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2003 remove nil cons cons 1776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2002 remove nil cons cons 84 ref 2001 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 2000 remove nil cons cons 1458 ref cons nil cons cons 173 ref subst eqMp eqMp 2006 def subst 2007 def subst eqMp appThm 123 ref 1943 ref 1345 ref 187 ref 187 ref 1991 ref 1993 ref appTerm 2008 def absTerm 2009 def 193 ref appTerm betaConv 2010 def absThm appThm appThm appThm 1345 ref 187 ref 1943 ref 2010 remove appThm absThm appThm appThm nil 1996 ref 2009 remove nil cons cons 83 ref 1942 ref nil cons 2011 def cons 2012 def nil cons cons nil cons cons 2007 ref subst eqMp trans 2013 def appThm 1990 ref appThm 123 ref 1874 ref 1345 ref 187 ref 187 ref 901 ref 1942 remove appTerm 2014 def 2008 ref appTerm 2015 def absTerm 2016 def 193 ref appTerm betaConv 2017 def absThm appThm appThm 1990 ref appThm appThm 1345 ref 187 ref 1874 ref 2017 ref appThm 1990 remove appThm absThm appThm appThm nil 287 ref 2016 ref nil cons cons 1853 remove cons nil cons cons 221 ref 84 ref 27 ref 901 ref 933 remove appTerm 2018 def 87 ref appTerm appTerm 331 ref 64 ref 901 ref 263 remove appTerm 2019 def 87 ref appTerm absTerm 2020 def appTerm appTerm absTerm 2021 def 87 ref appTerm 2022 def betaConv 161 ref 311 ref 2021 ref appTerm 2023 def absTerm 2024 def 163 ref appTerm 2025 def betaConv nil 254 ref 2024 ref appTerm 2026 def axiom nil 83 ref 2026 remove nil cons cons 84 ref 2025 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 2024 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2023 remove nil cons cons 84 ref 2022 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2021 remove nil cons cons 1644 ref cons nil cons cons 173 ref subst eqMp eqMp 2027 def subst 2028 def subst eqMp trans trans 1656 ref assume eqMp nil 83 ref 583 ref 187 ref 901 ref 2015 ref appTerm 1648 remove appTerm 2029 def absTerm 2030 def appTerm 2031 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 187 ref 68 ref 2030 ref 193 ref appTerm 2032 def appTerm 841 ref appTerm 2033 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 187 ref nil 24 ref 2033 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 2032 ref nil cons 2034 def cons 1032 ref cons nil cons cons 2035 def 100 ref subst 2035 remove 157 ref subst 2032 ref betaConv 2032 remove assume eqMp nil 83 ref 2029 remove nil cons 2036 def cons 1032 ref cons nil cons cons 2037 def 144 ref subst proveHyp 2037 ref 100 ref subst 2037 remove 157 ref subst nil 1623 ref 1032 ref cons nil cons cons 144 ref subst 2038 def nil 206 ref 1147 ref 68 ref 1491 ref 1378 ref appTerm 2039 def appTerm 841 ref appTerm 2040 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 2041 def 1147 ref nil 24 ref 2040 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 2039 ref nil cons 2042 def cons 1032 ref cons nil cons cons 2043 def 100 ref subst 2043 remove 157 ref subst 2039 ref betaConv 2039 remove assume eqMp nil 83 ref 820 ref 163 ref 1469 ref 1378 ref appTerm appTerm appTerm nil cons 2044 def cons 1032 ref cons nil cons cons 2045 def 144 ref subst proveHyp 2045 ref 100 ref subst 2045 remove 157 ref subst nil 83 ref 1658 ref cons 1032 ref cons nil cons cons 2046 def 100 ref subst 2046 remove 157 ref subst 1520 ref nil 83 ref 1472 ref nil cons cons 2047 def 84 ref 1754 ref nil cons 2048 def cons nil cons 2049 def cons nil cons cons 157 ref subst proveHyp 2050 def nil "_14712" 1 ref var 2051 def 209 ref cons nil cons nil cons cons 1784 ref 2051 remove varTerm 2052 def appTerm 2053 def betaConv nil 1788 ref 84 ref 2053 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 1784 ref nil cons cons 2054 def 180 ref 2052 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst nil 83 ref 1783 ref nil cons 2055 def cons 2056 def 2049 ref cons nil cons cons 144 ref subst proveHyp nil "_14713" 1 ref var 2057 def 622 ref cons nil cons nil cons cons nil 836 ref 820 ref 22 ref 2057 remove varTerm 2058 def appTerm 235 ref appTerm 2059 def appTerm nil cons 2060 def cons 838 ref 163 ref 1469 ref 2058 ref appTerm appTerm 2061 def nil cons 2062 def cons nil cons cons nil cons cons nil 844 ref 84 ref 27 ref 901 ref 839 ref appTerm 2063 def 845 ref appTerm 2064 def appTerm 68 ref 846 ref appTerm 2065 def 839 ref appTerm appTerm nil cons 2066 def cons nil cons 2067 def cons nil cons cons 2068 def 100 ref subst 2068 remove 157 ref subst 27 ref "_610" 2 ref var 2069 def 27 ref 901 ref 2069 remove varTerm 2070 def appTerm 845 ref appTerm appTerm 2065 ref 2070 remove appTerm appTerm absTerm 2071 def 839 ref appTerm 2072 def appTerm refl 2073 def 2071 ref 841 ref appTerm betaConv appThm 123 ref 2072 remove betaConv appThm 2074 def 27 ref 1898 ref 845 ref appTerm 2075 def appTerm 2065 ref 841 ref appTerm appTerm refl appThm trans 2071 remove refl 2076 def 861 ref appThm eqMp sym 123 ref 870 ref 1902 ref subst 2077 def appThm 863 ref 1386 ref subst 875 remove trans appThm 885 ref trans sym 32 ref eqMp eqMp eqMp nil 886 ref 121 ref 2066 ref cons nil cons 2078 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 890 ref 2067 remove cons nil cons cons 2079 def 100 ref subst 2079 remove 157 ref subst 2073 remove "_608" 2 ref var 2080 def 27 ref 901 ref 2080 remove varTerm 2081 def appTerm 845 ref appTerm appTerm 2065 ref 2081 remove appTerm appTerm absTerm 30 ref appTerm betaConv appThm 2074 remove 27 ref 1876 ref 845 ref appTerm 2082 def appTerm 2065 remove 30 ref appTerm appTerm refl appThm trans 2076 remove 896 ref appThm eqMp sym 123 ref 870 ref 1880 ref subst 2083 def appThm 863 ref 1753 ref subst 2084 def appThm 1883 ref trans sym 32 ref eqMp eqMp eqMp nil 900 ref 2078 remove cons nil cons cons 135 ref subst deductAntisym eqMp 909 ref nil 900 ref 910 ref 911 ref 2066 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 2085 def subst 182 ref nil 838 ref 2059 remove nil cons cons nil cons nil cons cons nil 24 ref 908 remove cons nil cons nil cons cons 874 ref subst 2086 def subst appThm 2061 remove refl appThm trans nil 84 ref 2062 remove cons 83 ref 2060 remove cons nil cons cons nil cons cons nil 983 ref 115 ref cons 984 ref 112 ref cons nil cons cons 2087 def nil cons cons 983 ref 27 ref 901 ref 986 ref appTerm 2088 def 987 ref appTerm 2089 def appTerm 901 ref 987 ref appTerm 2090 def 986 ref appTerm appTerm absTerm 2091 def 987 ref appTerm 2092 def betaConv 984 ref 311 ref 2091 ref appTerm 2093 def absTerm 2094 def 986 ref appTerm 2095 def betaConv nil 311 ref 2094 ref appTerm 2096 def axiom nil 83 ref 2096 remove nil cons cons 84 ref 2095 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2094 remove nil cons cons 996 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2093 remove nil cons cons 84 ref 2092 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2091 remove nil cons cons 997 ref cons nil cons cons 173 ref subst eqMp eqMp subst 2097 def subst 187 ref 901 ref 820 ref 1759 ref appTerm 2098 def appTerm 2099 def 1498 ref appTerm absTerm 2100 def 2058 ref appTerm 2101 def betaConv nil 83 ref 1762 ref nil cons cons 84 ref 1763 ref nil cons cons nil cons cons nil cons cons 1988 ref subst 23 ref 23 ref 1558 remove 1464 ref refl 172 ref appThm 631 ref 1146 ref appThm appThm 2102 def appThm appThm 2103 def 23 ref 932 ref 1227 ref 2102 ref appThm appThm appThm 2104 def 179 ref 187 ref nil 83 ref 1759 ref nil cons cons 2105 def 1966 remove cons nil cons cons 1910 ref subst absThm appThm appThm appThm appThm 932 ref 1516 ref 2102 remove appThm 172 ref appThm appThm appThm trans 1778 remove assume eqMp nil 119 ref 1568 remove 1569 remove 178 ref 2100 ref appTerm 2106 def appTerm 2107 def appTerm nil cons cons 121 ref 820 ref 1763 remove appTerm nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp nil 119 ref 1567 remove nil cons cons 121 ref 2107 remove nil cons cons nil cons cons nil cons cons 581 ref subst proveHyp nil 119 ref 1565 remove nil cons cons 121 ref 2106 remove nil cons 2108 def cons nil cons cons nil cons cons 581 ref subst proveHyp nil 83 ref 2108 remove cons 84 ref 2101 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2100 remove nil cons cons 180 ref 2058 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp eqMp nil 83 ref 10 ref 1472 remove appTerm 2109 def 1754 remove appTerm nil cons cons 84 ref 1024 ref cons nil cons 2110 def cons nil cons cons 144 ref subst 2111 def proveHyp nil "_14849" 45 ref var 2112 def 356 ref cons "_14848" 45 ref var 2113 def 1470 ref nil cons 2114 def cons nil cons cons nil cons cons nil 836 ref 901 ref 820 ref 531 ref 2113 remove varTerm 2115 def appTerm 2112 remove varTerm 2116 def appTerm 2117 def appTerm 2118 def appTerm 820 ref 163 ref 2115 remove appTerm 2119 def appTerm 2120 def appTerm nil cons cons 838 ref 163 ref 2116 remove appTerm 2121 def nil cons 2122 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 2120 ref nil cons 2123 def cons 838 ref 2118 remove nil cons 2124 def cons nil cons cons nil cons cons nil 844 ref 84 ref 27 ref 820 ref 2064 ref appTerm appTerm 10 ref 847 ref appTerm 846 ref appTerm appTerm nil cons 2125 def cons nil cons 2126 def cons nil cons cons 2127 def 100 ref subst 2127 remove 157 ref subst 27 ref "_614" 2 ref var 2128 def 27 ref 820 ref 901 ref 2128 remove varTerm 2129 def appTerm 845 ref appTerm appTerm appTerm 10 ref 820 ref 2129 remove appTerm appTerm 846 ref appTerm appTerm absTerm 2130 def 839 ref appTerm 2131 def appTerm refl 2132 def 2130 ref 841 ref appTerm betaConv appThm 123 ref 2131 remove betaConv appThm 2133 def 27 ref 820 ref 2075 ref appTerm appTerm 10 ref 858 ref appTerm 2134 def 846 ref appTerm appTerm refl appThm trans 2130 remove refl 2135 def 861 ref appThm eqMp sym 123 ref 932 ref 2077 ref appThm appThm 23 ref 876 ref appThm 2136 def 846 ref refl 2137 def appThm 863 ref 324 ref subst trans appThm 899 ref trans sym 32 ref eqMp eqMp eqMp nil 886 ref 121 ref 2125 ref cons nil cons 2138 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 890 ref 2126 remove cons nil cons cons 2139 def 100 ref subst 2139 remove 157 ref subst 2132 remove "_612" 2 ref var 2140 def 27 ref 820 ref 901 ref 2140 remove varTerm 2141 def appTerm 845 ref appTerm appTerm appTerm 10 ref 820 ref 2141 remove appTerm appTerm 846 ref appTerm appTerm absTerm 30 ref appTerm betaConv appThm 2133 remove 27 ref 820 ref 2082 ref appTerm appTerm 10 ref 894 ref appTerm 2142 def 846 ref appTerm appTerm refl appThm trans 2135 remove 896 ref appThm eqMp sym 123 ref 932 ref 2083 ref appThm 897 ref trans appThm 23 ref 897 ref appThm 2143 def 2137 ref appThm 863 ref 1927 ref subst trans appThm 1981 ref trans sym 32 ref eqMp eqMp eqMp nil 900 ref 2138 remove cons nil cons cons 135 ref subst deductAntisym eqMp 909 ref nil 900 ref 910 ref 911 ref 2125 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 2144 def subst 23 ref nil 838 ref 2117 ref nil cons 2145 def cons nil cons 2146 def nil cons cons 2086 ref subst appThm nil 838 ref 2119 ref nil cons cons nil cons 2147 def nil cons cons 2086 ref subst appThm trans appThm 2121 ref refl appThm trans nil 917 ref 2123 remove cons 84 ref 2122 ref cons 83 ref 2124 remove cons nil cons cons cons nil cons cons 123 ref nil "t3" 2 ref var 2148 def 918 ref nil cons 2149 def cons 2150 def 2087 remove cons nil cons cons 2148 ref 27 ref 2088 remove 2090 remove 2148 ref varTerm 2151 def appTerm appTerm 2152 def appTerm 901 ref 2089 remove appTerm 2151 ref appTerm 2153 def appTerm 2154 def absTerm 2155 def 2151 ref appTerm 2156 def betaConv 983 ref 311 ref 2155 ref appTerm 2157 def absTerm 2158 def 987 ref appTerm 2159 def betaConv 984 ref 311 ref 2158 ref appTerm 2160 def absTerm 2161 def 986 ref appTerm 2162 def betaConv 311 ref refl 2163 def 984 ref 2163 ref 983 ref 2163 ref 2148 ref 2154 remove assume sym 27 ref 2153 remove appTerm 2152 remove appTerm 2164 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 311 ref 984 ref 311 ref 983 ref 311 ref 2148 ref 2164 remove absTerm 2165 def appTerm 2166 def absTerm 2167 def appTerm 2168 def absTerm 2169 def appTerm 2170 def axiom 2171 def eqMp nil 83 ref 311 ref 2161 ref appTerm nil cons cons 84 ref 2162 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2161 remove nil cons cons 996 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2160 remove nil cons cons 84 ref 2159 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2158 remove nil cons cons 997 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2157 remove nil cons cons 84 ref 2156 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2155 remove nil cons cons 315 ref 2151 ref nil cons cons nil cons 2172 def cons nil cons cons 173 ref subst eqMp eqMp 2173 def subst appThm nil 2150 remove 983 ref 112 remove cons 984 ref 115 remove cons nil cons cons cons nil cons cons 2173 remove subst appThm sym 1874 ref 2097 ref appThm 918 ref refl appThm eqMp 2174 def subst nil 836 ref 901 ref 2121 ref appTerm 2120 remove appTerm nil cons 2175 def cons 2146 remove cons nil cons cons nil 844 ref 84 ref 27 ref 68 ref 839 ref appTerm 845 ref appTerm appTerm 901 ref 847 ref appTerm 2176 def 845 ref appTerm appTerm nil cons 2177 def cons nil cons 2178 def cons nil cons cons 2179 def 100 ref subst 2179 remove 157 ref subst 27 ref "_634" 2 ref var 2180 def 27 ref 68 ref 2180 remove varTerm 2181 def appTerm 845 ref appTerm appTerm 901 ref 820 ref 2181 remove appTerm appTerm 845 ref appTerm appTerm absTerm 2182 def 839 ref appTerm 2183 def appTerm refl 2184 def 2182 ref 841 ref appTerm betaConv appThm 123 ref 2183 remove betaConv appThm 2185 def 27 ref 1035 ref 845 ref appTerm appTerm 1869 ref 845 ref appTerm appTerm refl appThm trans 2182 remove refl 2186 def 861 ref appThm eqMp sym 123 ref 870 ref 1049 ref subst appThm 1875 ref 877 ref appThm 2083 ref trans appThm 1883 ref trans sym 32 ref eqMp eqMp eqMp nil 886 ref 121 ref 2177 ref cons nil cons 2187 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 890 ref 2178 remove cons nil cons cons 2188 def 100 ref subst 2188 remove 157 ref subst 2184 remove "_632" 2 ref var 2189 def 27 ref 68 ref 2189 remove varTerm 2190 def appTerm 845 ref appTerm appTerm 901 ref 820 ref 2190 remove appTerm appTerm 845 ref appTerm appTerm absTerm 30 ref appTerm betaConv appThm 2185 remove 27 ref 1059 ref 845 ref appTerm appTerm 1893 ref 845 ref appTerm appTerm refl appThm trans 2186 remove 896 ref appThm eqMp sym 123 ref 870 ref 1063 ref subst appThm 1897 ref 877 remove appThm 2077 ref trans appThm 885 remove trans sym 32 ref eqMp eqMp eqMp nil 900 ref 2187 remove cons nil cons cons 135 ref subst deductAntisym eqMp 909 ref nil 900 ref 910 ref 911 ref 2177 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 2191 def subst nil 83 ref 2145 ref cons 84 ref 2175 ref cons nil cons 2192 def cons nil cons cons 2193 def 100 ref subst 2193 remove 157 ref subst 1227 ref 2117 remove assume appThm nil 83 ref 27 ref 2119 remove appTerm 2121 remove appTerm nil cons cons 2192 remove cons nil cons cons 144 ref subst proveHyp nil 836 ref 2122 remove cons 2147 remove cons nil cons cons nil 844 ref 84 ref 68 ref 840 remove 845 ref appTerm appTerm 901 ref 845 ref appTerm 2194 def 847 remove appTerm appTerm nil cons 2195 def cons nil cons 2196 def cons nil cons cons 2197 def 100 ref subst 2197 remove 157 ref subst 27 ref "_638" 2 ref var 2198 def 68 ref 27 ref 2198 remove varTerm 2199 def appTerm 845 ref appTerm appTerm 2194 ref 820 ref 2199 remove appTerm appTerm appTerm absTerm 2200 def 839 ref appTerm 2201 def appTerm refl 2202 def 2200 ref 841 ref appTerm betaConv appThm 123 ref 2201 remove betaConv appThm 2203 def 68 ref 857 ref 845 ref appTerm appTerm 2194 ref 858 ref appTerm appTerm refl appThm trans 2200 remove refl 2204 def 861 ref appThm eqMp sym 182 ref 898 remove appThm 2194 ref refl 2205 def 876 ref appThm 870 ref 24 ref 27 ref 1094 ref 30 ref appTerm appTerm 30 ref appTerm absTerm 2206 def 28 ref appTerm 2207 def betaConv nil 311 ref 2206 ref appTerm 2208 def axiom nil 83 ref 2208 remove nil cons cons 84 ref 2207 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2206 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 2209 def subst 2210 def trans appThm 2084 remove trans sym 32 ref eqMp eqMp eqMp nil 886 ref 121 ref 2195 ref cons nil cons 2211 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 890 ref 2196 remove cons nil cons cons 2212 def 100 ref subst 2212 remove 157 ref subst 2202 remove "_636" 2 ref var 2213 def 68 ref 27 ref 2213 remove varTerm 2214 def appTerm 845 ref appTerm appTerm 2194 ref 820 ref 2214 remove appTerm appTerm appTerm absTerm 30 ref appTerm betaConv appThm 2203 remove 68 ref 878 ref 845 ref appTerm appTerm 2194 ref 894 ref appTerm appTerm refl appThm trans 2204 remove 896 ref appThm eqMp sym 182 ref 883 remove appThm 2205 remove 897 ref appThm 870 ref 24 ref 27 ref 1094 remove 841 ref appTerm appTerm 28 ref appTerm absTerm 2215 def 28 ref appTerm 2216 def betaConv nil 311 ref 2215 ref appTerm 2217 def axiom nil 83 ref 2217 remove nil cons cons 84 ref 2216 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2215 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp 2218 def subst trans appThm 870 ref 1093 ref subst trans sym 32 ref eqMp eqMp eqMp nil 900 ref 2211 remove cons nil cons cons 135 ref subst deductAntisym eqMp 909 ref nil 900 ref 910 ref 911 ref 2195 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 2219 def subst eqMp eqMp nil 119 ref 2145 remove cons 121 ref 2175 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp subst 2220 def eqMp nil 1055 ref 1032 ref cons nil cons cons 144 ref subst 2221 def proveHyp nil 1055 ref nil cons nil cons cons 27 ref 1773 ref appTerm refl 113 ref 1386 ref subst appThm nil 315 ref 1774 remove cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 2222 def subst 952 ref assume eqMp 2223 def eqMp 2224 def eqMp nil 119 ref 1658 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 2015 remove nil cons 2225 def cons 1032 ref cons nil cons cons 2226 def 100 ref subst 2226 remove 157 ref subst nil 83 ref 2008 remove nil cons 2227 def cons 1032 ref cons nil cons cons 2228 def 100 ref subst 2228 remove 157 ref subst nil 83 ref 1993 remove nil cons 2229 def cons 1032 ref cons nil cons cons 2230 def 100 ref subst 2230 remove 157 ref subst 2224 ref eqMp nil 119 ref 2229 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 1947 remove 1032 ref cons nil cons cons 2231 def 100 ref subst 2231 remove 157 ref subst 2224 ref eqMp nil 119 ref 1946 ref cons 2232 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 2232 remove 121 ref 2229 remove cons 911 ref 1031 ref cons nil cons 2233 def cons cons nil cons cons 931 ref subst proveHyp proveHyp eqMp nil 119 ref 2227 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 2012 remove 1032 ref cons nil cons cons 2234 def 100 ref subst 2234 remove 157 ref subst 2224 remove eqMp nil 119 ref 2011 ref cons 2235 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 2235 remove 121 ref 2227 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp eqMp nil 119 ref 2225 remove cons 2236 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 2236 remove 121 ref 1658 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp eqMp nil 119 ref 2044 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 2042 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 1491 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 1595 ref 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst 2237 def proveHyp 205 ref 206 ref 1491 ref nil cons cons 2238 def 1390 ref cons nil cons cons 442 ref subst 2239 def eqMp eqMp eqMp nil 119 ref 2036 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 2034 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 2030 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 2031 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2030 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 1787 remove cons 2240 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 1779 remove cons 2241 def 121 ref 1851 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 1768 remove cons 2242 def 121 ref 1849 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 1602 ref cons 2243 def 121 ref 1847 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 1053 ref 121 ref 1845 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 1544 remove cons 2244 def 121 ref 1843 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 1486 ref 121 ref 1841 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 63 ref 1816 ref appTerm nil cons cons 84 ref 1817 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 1816 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1815 remove nil cons cons 84 ref 1814 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 1813 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1812 remove nil cons cons 84 ref 1811 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1169 ref 1170 ref 1810 remove nil cons cons 1171 ref 1464 ref nil cons cons nil cons 2245 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1809 remove nil cons cons 84 ref 1808 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 1807 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1806 remove nil cons cons 84 ref 1805 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 1804 remove nil cons cons 767 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1803 remove nil cons cons 84 ref 1802 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1131 ref 1123 ref 1801 remove nil cons cons 1322 remove 1400 ref nil cons cons nil cons 2246 def cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 2241 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 2242 remove 121 ref 1770 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 83 ref 10 ref 1757 remove appTerm 1767 remove appTerm nil cons cons 84 ref 178 ref 183 ref 1656 remove absTerm 2247 def appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 2247 ref 621 ref appTerm betaConv appThm 179 ref 183 ref 182 ref 2247 ref 194 ref appTerm betaConv 2248 def appThm 2247 ref 235 ref appTerm betaConv appThm absThm appThm appThm appThm 179 ref 183 ref 2248 remove absThm appThm appThm nil 287 ref 2247 remove nil cons cons nil cons nil cons cons 697 ref subst eqMp eqMp eqMp nil 83 ref 68 ref 1504 ref appTerm 760 ref appTerm nil cons cons 84 ref 68 ref 760 ref appTerm 1504 ref appTerm 2249 def nil cons 2250 def cons nil cons cons nil cons cons 157 ref subst proveHyp nil 83 ref 2250 remove cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 2249 remove appTerm 2251 def nil cons 2252 def cons 2253 def 1032 ref cons nil cons cons 2254 def 100 ref subst 2254 remove 157 ref subst nil 178 ref 187 ref 820 ref 1745 ref appTerm 2255 def absTerm 2256 def appTerm 2257 def axiom 2258 def nil 83 ref 2257 ref nil cons 2259 def cons 2260 def 84 ref 178 ref 187 ref 178 ref 183 ref 27 ref 1759 remove appTerm 901 ref 195 ref 193 ref appTerm 2261 def 194 ref appTerm 2262 def appTerm 289 ref appTerm appTerm absTerm 2263 def appTerm 2264 def absTerm 2265 def appTerm 2266 def nil cons 2267 def cons nil cons cons nil cons cons 157 ref subst proveHyp nil 2266 ref axiom 2268 def eqMp nil 83 ref 10 ref 2257 remove appTerm 2266 remove appTerm 2269 def nil cons 2270 def cons 1032 ref cons nil cons cons 2271 def 144 ref subst proveHyp nil 2253 ref 84 ref 68 ref 2269 ref appTerm 841 ref appTerm 2272 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1623 ref 84 ref 68 ref 2251 ref appTerm 2273 def 2272 remove appTerm 2274 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1019 ref 84 ref 1595 ref 2274 remove appTerm 2275 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1553 ref 84 ref 1796 ref 2275 remove appTerm 2276 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1519 ref 84 ref 1798 ref 2276 remove appTerm 2277 def nil cons cons nil cons cons nil cons cons 144 ref subst 1395 ref 1800 ref 2277 remove appTerm absTerm 2278 def 1400 ref appTerm 2279 def betaConv 255 ref 1321 ref 2278 ref appTerm 2280 def absTerm 2281 def 256 ref appTerm 2282 def betaConv 161 ref 63 ref 2281 ref appTerm 2283 def absTerm 2284 def 163 ref appTerm 2285 def betaConv 1462 ref 254 ref 2284 ref appTerm 2286 def absTerm 2287 def 1464 ref appTerm 2288 def betaConv 64 ref 1163 ref 2287 ref appTerm 2289 def absTerm 2290 def 69 ref appTerm 2291 def betaConv 1078 ref 64 ref 1818 ref 1462 ref 948 ref 161 ref 1078 ref 255 ref 1819 ref 1395 ref 1820 ref 1821 ref 1822 ref 1596 ref 2273 ref refl nil 24 ref 2270 ref cons nil cons nil cons cons 1386 ref subst 2292 def appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 150 ref 64 ref 1163 ref 1462 ref 254 ref 161 ref 63 ref 255 ref 1321 ref 1395 ref 1800 ref 1798 ref 1796 ref 1595 ref 2273 remove 820 ref 2269 remove appTerm 2293 def appTerm 2294 def appTerm 2295 def appTerm 2296 def appTerm 2297 def appTerm 2298 def absTerm 2299 def appTerm 2300 def absTerm 2301 def appTerm 2302 def absTerm 2303 def appTerm 2304 def absTerm 2305 def appTerm 2306 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 2306 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1170 ref 2305 remove nil cons cons nil cons nil cons cons 1427 ref subst 1462 ref nil 24 ref 2304 remove nil cons cons nil cons nil cons cons 33 ref subst nil 540 ref 2303 remove nil cons cons nil cons nil cons cons 978 ref subst 161 ref nil 24 ref 2302 remove nil cons cons nil cons nil cons cons 33 ref subst nil 150 ref 2301 remove nil cons cons nil cons nil cons cons 222 ref subst 255 ref nil 24 ref 2300 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1123 ref 2299 remove nil cons cons nil cons nil cons cons 1132 ref subst 1395 ref nil 24 ref 2298 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1519 ref 84 ref 2297 remove nil cons 2307 def cons nil cons cons nil cons cons 2308 def 100 ref subst 2308 remove 157 ref subst nil 1553 ref 84 ref 2296 remove nil cons 2309 def cons nil cons cons nil cons cons 2310 def 100 ref subst 2310 remove 157 ref subst nil 1019 ref 84 ref 2295 remove nil cons 2311 def cons nil cons cons nil cons cons 2312 def 100 ref subst 2312 remove 157 ref subst nil 1623 ref 84 ref 2294 remove nil cons 2313 def cons nil cons cons nil cons cons 2314 def 100 ref subst 2314 remove 157 ref subst nil 2253 remove 84 ref 2293 remove nil cons 2315 def cons nil cons cons nil cons cons 2316 def 100 ref subst 2316 remove 157 ref subst 2292 remove 2271 ref 100 ref subst 2271 remove 157 ref subst nil 83 ref 1632 ref cons 2317 def 84 ref 1631 remove cons nil cons cons nil cons cons 1988 ref subst 23 ref 1629 remove appThm 2318 def nil 206 ref 1637 remove cons nil cons nil cons cons 221 ref 123 ref 932 ref 1022 ref 1958 ref appThm appThm appThm 63 ref 1960 remove appTerm 2319 def refl appThm sym 1961 remove 1082 remove subst 2320 def eqMp 2321 def subst 2322 def subst 179 ref 183 ref 932 ref 1635 remove appThm 1989 remove trans absThm appThm trans appThm trans 2318 ref 179 ref 183 ref 2013 remove absThm appThm 123 ref 179 ref 183 ref 1345 ref 187 ref 183 ref 2016 ref absTerm 2323 def 194 ref appTerm betaConv 2324 def 193 ref refl 2325 def appThm 2017 remove trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 196 ref 3 ref cons opType 2326 def 3 ref cons opType 2327 def constTerm 2328 def refl 2329 def "f" 196 ref var 2330 def 179 ref 183 ref 2324 remove 2330 ref varTerm 2331 def 194 ref appTerm 2332 def refl 2333 def appThm 2016 remove 2332 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 36 ref 2323 remove nil cons cons nil cons nil cons cons 41 ref 205 ref cons 43 ref cons 1121 ref subst 2334 def subst eqMp trans appThm 123 ref 2318 ref 2329 ref 2330 ref 2330 ref 178 ref 183 ref 2014 ref 1991 ref 10 ref 22 ref 2332 ref appTerm 194 ref appTerm 2335 def appTerm 2336 def 820 ref 163 ref 1469 ref 2332 ref appTerm appTerm appTerm 2337 def appTerm appTerm appTerm absTerm appTerm 2338 def absTerm 2339 def 2331 ref appTerm betaConv 2340 def absThm appThm appThm appThm 2329 ref 2330 ref 2318 remove 2340 remove appThm absThm appThm appThm nil "q" 2326 ref var 2341 def 2339 remove nil cons cons 2317 remove nil cons cons nil cons cons "A" 586 ref cons nil cons 2342 def 43 ref cons 2343 def 1446 ref 27 ref 90 ref 1998 ref appTerm 2344 def appTerm 331 ref 64 ref 90 ref 1448 ref appTerm absTerm 2345 def appTerm 2346 def appTerm absTerm 2347 def 1447 ref appTerm 2348 def betaConv 83 ref 254 ref 2347 ref appTerm 2349 def absTerm 2350 def 85 ref appTerm 2351 def betaConv nil 311 ref 2350 ref appTerm 2352 def axiom nil 83 ref 2352 remove nil cons cons 84 ref 2351 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2350 remove nil cons cons 1776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2349 remove nil cons cons 84 ref 2348 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 2347 remove nil cons cons 1458 ref cons nil cons cons 173 ref subst eqMp eqMp 2353 def subst 2354 def subst eqMp trans trans 2251 remove assume eqMp nil 83 ref 2328 ref 2330 ref 1749 remove 2338 ref appTerm 2355 def absTerm 2356 def appTerm 2357 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 2326 ref var 2358 def 2330 ref 68 ref 2356 ref 2331 ref appTerm 2359 def appTerm 841 ref appTerm 2360 def absTerm nil cons cons nil cons nil cons cons 2343 ref 222 ref subst 2361 def subst 2330 ref nil 24 ref 2360 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 2359 ref nil cons 2362 def cons 1032 ref cons nil cons cons 2363 def 100 ref subst 2363 remove 157 ref subst 2359 ref betaConv 2359 remove assume eqMp nil 83 ref 2355 remove nil cons 2364 def cons 1032 ref cons nil cons cons 2365 def 144 ref subst proveHyp 2365 ref 100 ref subst 2365 remove 157 ref subst 2038 remove 2041 remove 183 ref nil 24 ref 68 ref 1491 remove 194 ref appTerm 2366 def appTerm 841 ref appTerm nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 2366 ref nil cons 2367 def cons 1032 ref cons nil cons cons 2368 def 100 ref subst 2368 remove 157 ref subst 2366 ref betaConv 2369 def 2366 remove assume eqMp nil 1945 remove 1032 ref cons nil cons cons 2370 def 144 ref subst proveHyp 2370 ref 100 ref subst 2370 remove 157 ref subst 2050 ref 1520 remove nil 2047 remove 84 ref 1471 remove 1470 ref appTerm 2371 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 64 ref 2114 ref cons nil cons 2372 def nil cons cons 172 ref subst eqMp nil 83 ref 2109 remove 2371 remove appTerm nil cons cons 84 ref 637 ref 1470 remove appTerm 2373 def nil cons 2374 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil 452 ref 2114 remove cons 255 ref 356 ref cons 2375 def 2372 remove cons cons nil cons cons nil 836 ref 901 ref 820 ref 757 ref appTerm 2376 def appTerm 2377 def 820 ref 637 ref 455 ref appTerm 2378 def appTerm 2379 def appTerm 2380 def nil cons cons 838 ref 759 ref 455 ref appTerm 2381 def nil cons 2382 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 2379 ref nil cons 2383 def cons 838 ref 2376 ref nil cons 2384 def cons nil cons 2385 def cons nil cons cons 2144 ref subst 23 ref nil 838 ref 757 ref nil cons 2386 def cons nil cons nil cons cons 2086 ref subst appThm 2387 def nil 838 ref 2378 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm trans appThm 2381 ref refl 2388 def appThm trans 2377 ref refl nil 84 ref 2382 ref cons 2389 def 83 ref 2383 ref cons nil cons 2390 def cons nil cons cons 2097 ref subst appThm nil 917 ref 2383 ref cons 2389 remove 83 ref 2384 ref cons 2391 def nil cons cons cons nil cons cons 2174 ref subst trans 2392 def nil 2391 ref 84 ref 2377 ref 901 ref 2379 ref appTerm 2381 ref appTerm 2393 def appTerm nil cons 2394 def cons nil cons 2395 def cons nil cons cons 2396 def 100 ref subst 2396 remove 157 ref subst 1874 ref 932 ref nil 2391 remove 84 ref 758 remove 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst nil 119 ref 2386 ref cons 2397 def nil cons nil cons cons 1042 ref subst eqMp appThm 876 ref trans appThm 2393 ref refl appThm nil 24 ref 2393 remove nil cons cons nil cons nil cons cons 1880 ref subst trans sym 32 ref eqMp eqMp nil 119 ref 2384 ref cons 121 ref 2394 ref cons nil cons 2398 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 2386 ref cons 2395 remove cons nil cons cons 2399 def 100 ref subst 2399 remove 157 ref subst 1874 ref 932 ref 1516 ref 757 ref assume appThm 2400 def 1105 ref appThm nil 767 ref nil cons cons 638 ref subst trans appThm 897 ref trans appThm 1874 ref 932 ref 2400 remove 455 ref refl 2401 def appThm appThm appThm 2388 remove appThm appThm nil 24 ref 901 ref 820 ref 2381 ref appTerm 2402 def appTerm 2381 ref appTerm nil cons 2403 def cons nil cons nil cons cons 1902 ref subst trans sym nil 83 ref 27 ref 2381 ref appTerm 2404 def 841 ref appTerm 2405 def nil cons 2406 def cons 84 ref 2403 ref cons nil cons 2407 def cons nil cons cons 2408 def 100 ref subst 2408 remove 157 ref subst 27 ref "_630" 2 ref var 2409 def 901 ref 820 ref 2409 remove varTerm 2410 def appTerm appTerm 2410 remove appTerm absTerm 2411 def 2381 ref appTerm 2412 def appTerm refl 2413 def 2411 ref 841 ref appTerm betaConv appThm 123 ref 2412 remove betaConv appThm 2414 def 1869 ref 841 ref appTerm refl appThm trans 2411 remove refl 2415 def 2405 remove assume appThm eqMp sym nil 24 ref 858 ref nil cons cons nil cons nil cons cons 2416 def 2218 ref subst 876 ref trans sym 32 ref eqMp eqMp eqMp nil 119 ref 2406 ref cons 121 ref 2403 ref cons nil cons 2417 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 2404 remove 30 ref appTerm 2418 def nil cons 2419 def cons 2407 remove cons nil cons cons 2420 def 100 ref subst 2420 remove 157 ref subst 2413 remove "_628" 2 ref var 2421 def 901 ref 820 ref 2421 remove varTerm 2422 def appTerm appTerm 2422 remove appTerm absTerm 30 ref appTerm betaConv appThm 2414 remove 1893 ref 30 ref appTerm refl appThm trans 2415 remove 2418 remove assume appThm eqMp sym nil 24 ref 894 ref nil cons cons nil cons nil cons cons 2423 def 2209 ref subst sym 32 ref eqMp eqMp eqMp nil 119 ref 2419 remove cons 2424 def 2417 remove cons nil cons cons 135 ref subst deductAntisym eqMp 902 ref 2381 ref appTerm 2425 def betaConv 905 ref nil 906 ref 84 ref 2425 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 907 ref 315 ref 2382 ref cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 2424 remove 121 ref 2406 remove cons 911 ref 2403 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 2397 ref 2398 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1095 ref 757 ref appTerm 2426 def betaConv 1098 ref nil 1099 ref 84 ref 2426 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 1100 ref 315 ref 2386 ref cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 2397 remove 121 ref 2384 ref cons 911 ref 2394 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 2427 def eqMp eqMp 2428 def subst eqMp nil 83 ref 2374 remove cons 84 ref 820 ref 22 ref 2331 ref 621 ref appTerm 2429 def appTerm 621 ref appTerm appTerm 2430 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil "_14864" 1 ref var 2431 def 2429 remove nil cons cons nil cons nil cons cons 2256 ref 2431 remove varTerm 2432 def appTerm 2433 def betaConv nil 119 ref 2259 remove cons 121 ref 2267 ref cons nil cons cons nil cons cons 135 ref subst nil 2260 ref 84 ref 2433 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2256 ref nil cons cons 2434 def 180 ref 2432 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst eqMp nil 83 ref 10 ref 2373 remove appTerm 2430 remove appTerm nil cons cons 2049 remove cons nil cons cons 144 ref subst proveHyp nil "_14863" 1 ref var 2435 def 622 ref cons nil cons nil cons cons nil 836 ref 901 ref 820 ref 637 ref 1469 ref 2435 remove varTerm 2436 def appTerm 2437 def appTerm 2438 def appTerm 2439 def appTerm 2440 def 22 ref 2331 ref 2436 ref appTerm 2441 def appTerm 2436 ref appTerm 2442 def appTerm nil cons cons 838 ref 163 ref 2437 ref appTerm 2443 def nil cons 2444 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 2442 ref nil cons 2445 def cons 838 ref 2439 remove nil cons 2446 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 2438 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 820 ref 2442 ref appTerm refl appThm trans appThm 2443 ref refl appThm trans nil 917 ref 2445 remove cons 84 ref 2444 remove cons 83 ref 2446 remove cons nil cons cons cons nil cons cons 2174 ref subst 27 ref "_14887" 45 ref var 2447 def 901 ref 820 ref 531 ref 2447 remove varTerm appTerm 2437 ref appTerm appTerm appTerm 901 ref 2443 remove appTerm 2448 def 2442 remove appTerm 2449 def appTerm absTerm 2450 def 256 ref appTerm 2451 def appTerm refl 2450 ref 69 ref appTerm betaConv appThm 123 ref 2451 remove betaConv appThm 2440 remove 2449 ref appTerm refl appThm trans 2450 remove refl nil 119 ref 1632 ref cons 121 ref 2338 remove nil cons cons nil cons cons nil cons cons 2452 def 135 ref subst appThm eqMp 183 ref 10 ref 2014 ref 1991 ref 2335 ref appTerm 2453 def appTerm appTerm 2014 remove 1991 remove 2337 ref appTerm 2454 def appTerm appTerm absTerm 2455 def 2436 ref appTerm 2456 def betaConv 179 ref 183 ref 1943 remove nil 838 ref 1946 remove cons 836 ref 2335 remove nil cons cons 1605 ref 2337 remove nil cons cons nil cons cons cons nil cons cons nil 844 ref 84 ref 27 ref 2063 ref 10 ref 845 ref appTerm 1606 ref appTerm 2457 def appTerm appTerm 10 ref 2064 remove appTerm 2063 remove 1606 ref appTerm 2458 def appTerm appTerm nil cons 2459 def cons nil cons 2460 def cons nil cons cons 2461 def 100 ref subst 2461 remove 157 ref subst 27 ref "_586" 2 ref var 2462 def 27 ref 901 ref 2462 remove varTerm appTerm 2463 def 2457 ref appTerm appTerm 10 ref 2463 ref 845 ref appTerm appTerm 2463 remove 1606 ref appTerm appTerm appTerm absTerm 2464 def 839 ref appTerm 2465 def appTerm refl 2466 def 2464 ref 841 ref appTerm betaConv appThm 123 ref 2465 remove betaConv appThm 2467 def 27 ref 1898 ref 2457 ref appTerm appTerm 10 ref 2075 remove appTerm 1898 ref 1606 ref appTerm 2468 def appTerm appTerm refl appThm trans 2464 remove refl 2469 def 861 ref appThm eqMp sym 123 ref nil 24 ref 2457 ref nil cons 2470 def cons nil cons nil cons cons 2471 def 1902 ref subst appThm 23 ref 2077 remove appThm nil 24 ref 1619 remove cons nil cons nil cons cons 2472 def 1902 ref subst 2473 def appThm appThm nil 315 ref 2470 remove cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp eqMp eqMp nil 886 ref 121 ref 2459 ref cons nil cons 2474 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 890 ref 2460 remove cons nil cons cons 2475 def 100 ref subst 2475 remove 157 ref subst 2466 remove "_584" 2 ref var 2476 def 27 ref 901 ref 2476 remove varTerm appTerm 2477 def 2457 ref appTerm appTerm 10 ref 2477 ref 845 ref appTerm appTerm 2477 remove 1606 ref appTerm appTerm appTerm absTerm 30 ref appTerm betaConv appThm 2467 remove 27 ref 1876 ref 2457 remove appTerm appTerm 10 ref 2082 remove appTerm 1876 ref 1606 ref appTerm 2478 def appTerm appTerm refl appThm trans 2469 remove 896 ref appThm eqMp sym 123 ref 2471 remove 1880 ref subst appThm 23 ref 2083 remove appThm 2472 ref 1880 ref subst 2479 def appThm 325 remove trans appThm 1883 ref trans sym 32 ref eqMp eqMp eqMp nil 900 ref 2474 remove cons nil cons cons 135 ref subst deductAntisym eqMp 909 ref nil 900 ref 910 ref 911 ref 2459 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 2480 def subst appThm nil 838 ref 2011 remove cons 836 ref 2453 remove nil cons cons 1605 ref 2454 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst trans absThm appThm 2452 remove 581 ref subst eqMp nil 83 ref 178 ref 2455 ref appTerm nil cons cons 84 ref 2456 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2455 remove nil cons cons 180 ref 2436 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 119 ref 901 ref 820 ref 759 ref 2437 remove appTerm appTerm appTerm 2481 def 2449 remove appTerm nil cons cons 121 ref 2481 remove 2448 remove 820 ref 163 ref 1469 ref 2441 remove appTerm appTerm appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp eqMp eqMp eqMp subst eqMp eqMp 2111 ref proveHyp 2220 ref eqMp 2221 ref proveHyp 2223 ref eqMp eqMp nil 119 ref 1944 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 2367 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp 2237 remove proveHyp 2239 remove eqMp eqMp eqMp nil 119 ref 2364 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 2362 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 2327 remove constTerm 2482 def "x" 196 ref var 2483 def 68 ref 2356 ref 2483 ref varTerm 2484 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 2357 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 2342 ref 2358 ref 2356 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 2270 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 2252 remove cons 2485 def 121 ref 2315 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 2243 ref 121 ref 2313 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 1053 ref 121 ref 2311 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 2244 ref 121 ref 2309 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 1486 ref 121 ref 2307 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 63 ref 2290 ref appTerm nil cons cons 84 ref 2291 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 2290 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2289 remove nil cons cons 84 ref 2288 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1169 ref 1170 ref 2287 remove nil cons cons 2245 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2286 remove nil cons cons 84 ref 2285 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 2284 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2283 remove nil cons cons 84 ref 2282 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 2281 remove nil cons cons 767 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2280 remove nil cons cons 84 ref 2279 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1131 ref 1123 ref 2278 remove nil cons cons 2246 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 2485 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 83 ref 63 ref 255 ref 27 ref 1628 remove appTerm 760 ref appTerm absTerm appTerm nil cons cons 84 ref 531 ref 1506 remove appTerm 69 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 161 ref 1505 remove nil cons cons nil cons nil cons cons 64 ref 68 ref 63 ref 255 ref 27 ref 260 ref appTerm 760 ref appTerm absTerm appTerm appTerm 531 ref 1496 remove 163 ref appTerm 2486 def appTerm 69 ref appTerm appTerm absTerm 2487 def 69 ref appTerm 2488 def betaConv 161 ref 63 ref 2487 ref appTerm 2489 def absTerm 2490 def 163 ref appTerm 2491 def betaConv nil 254 ref 2490 ref appTerm 2492 def axiom nil 83 ref 2492 remove nil cons cons 84 ref 2491 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 2490 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2489 remove nil cons cons 84 ref 2488 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 2487 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp appThm eqMp nil 2243 ref 121 ref 1626 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 1595 ref 1625 remove appTerm nil cons cons 84 ref 1598 ref 739 ref 1509 ref appTerm 2493 def 1403 remove appTerm 2494 def appTerm 2495 def nil cons 2496 def cons nil cons 2497 def cons nil cons cons 157 ref subst proveHyp nil 83 ref 1597 ref nil cons 2498 def cons 2499 def 84 ref 2494 ref nil cons 2500 def cons nil cons cons nil cons cons 2501 def 100 ref subst 2502 def 2501 remove 157 ref subst 2503 def nil 83 ref 2500 ref cons nil cons nil cons cons 1777 ref subst sym 2504 def nil 2499 ref 84 ref 68 ref 820 ref 2494 remove appTerm 2505 def appTerm 841 ref appTerm 2506 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1019 ref 84 ref 1598 ref 2506 remove appTerm 2507 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1553 ref 84 ref 1796 ref 2507 remove appTerm 2508 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 1519 ref 84 ref 1798 ref 2508 remove appTerm 2509 def nil cons cons nil cons cons nil cons cons 144 ref subst 1395 ref 1800 ref 2509 remove appTerm absTerm 2510 def 1400 remove appTerm 2511 def betaConv 161 ref 1321 ref 2510 ref appTerm 2512 def absTerm 2513 def 163 ref appTerm 2514 def betaConv 1462 ref 254 ref 2513 ref appTerm 2515 def absTerm 2516 def 1464 remove appTerm 2517 def betaConv 1508 ref 1163 ref 2516 ref appTerm 2518 def absTerm 2519 def 1509 ref appTerm 2520 def betaConv 1396 ref 66 ref 2519 ref appTerm 2521 def absTerm 2522 def 1402 ref appTerm 2523 def betaConv 64 ref 749 ref 2522 ref appTerm 2524 def absTerm 2525 def 69 ref appTerm 2526 def betaConv 1078 ref 64 ref 753 ref 1396 ref 66 ref refl 2527 def 1508 ref 1818 remove 1462 ref 948 ref 161 ref 1819 ref 1395 ref 1820 remove 1821 remove 1822 remove 1599 ref 2504 ref appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 150 ref 64 ref 749 ref 1396 ref 66 ref 1508 ref 1163 ref 1462 ref 254 ref 161 ref 1321 ref 1395 ref 1800 remove 1798 remove 1796 remove 2495 remove appTerm 2528 def appTerm 2529 def appTerm 2530 def absTerm 2531 def appTerm 2532 def absTerm 2533 def appTerm 2534 def absTerm 2535 def appTerm 2536 def absTerm 2537 def appTerm 2538 def absTerm 2539 def appTerm 2540 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 2540 remove nil cons cons nil cons nil cons cons 33 ref subst nil 773 ref 2539 remove nil cons cons nil cons nil cons cons 1412 ref subst 1396 remove nil 24 ref 2538 remove nil cons cons nil cons nil cons cons 33 ref subst nil "P" 47 ref var 2541 def 2537 remove nil cons cons nil cons nil cons cons 1576 ref 222 ref subst 2542 def subst 1508 remove nil 24 ref 2536 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1170 ref 2535 remove nil cons cons nil cons nil cons cons 1427 ref subst 1462 remove nil 24 ref 2534 remove nil cons cons nil cons nil cons cons 33 ref subst nil 540 ref 2533 remove nil cons cons nil cons nil cons cons 978 ref subst 161 ref nil 24 ref 2532 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1123 ref 2531 remove nil cons cons nil cons nil cons cons 1132 remove subst 1395 remove nil 24 ref 2530 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1519 remove 84 ref 2529 remove nil cons 2543 def cons nil cons cons nil cons cons 2544 def 100 ref subst 2544 remove 157 ref subst nil 1553 remove 84 ref 2528 remove nil cons 2545 def cons nil cons cons nil cons cons 2546 def 100 ref subst 2546 remove 157 ref subst nil 1019 ref 2497 remove cons nil cons cons 2547 def 100 ref subst 2547 remove 157 ref subst 2502 remove 2503 remove 2504 remove nil 83 ref 2505 remove nil cons 2548 def cons 1032 ref cons nil cons cons 2549 def 100 ref subst 2549 remove 157 ref subst 2050 remove nil "_14679" 1 ref var 2550 def 622 ref cons nil cons nil cons cons 183 ref 1489 remove absTerm 2551 def 2550 remove varTerm 2552 def appTerm 2553 def betaConv nil 2238 remove nil cons nil cons cons 2322 ref subst 179 ref 183 ref 932 ref 2369 ref appThm 1949 remove trans absThm appThm trans 1597 remove assume eqMp nil 83 ref 178 ref 2551 ref appTerm nil cons cons 84 ref 2553 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2551 remove nil cons cons 180 ref 2552 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst eqMp 2111 remove proveHyp 2220 remove eqMp 2221 remove proveHyp 2223 remove eqMp eqMp nil 119 ref 2548 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 2498 remove cons 2554 def 121 ref 2500 remove cons nil cons cons nil cons cons 135 ref subst 2555 def deductAntisym eqMp eqMp nil 1053 ref 121 ref 2496 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 2244 remove 121 ref 2545 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 1486 remove 121 ref 2543 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 63 ref 2525 ref appTerm nil cons cons 84 ref 2526 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 2525 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2524 remove nil cons cons 84 ref 2523 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 2522 remove nil cons cons 774 ref 1402 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2521 remove nil cons cons 84 ref 2520 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 2519 remove nil cons cons "x" 46 ref var 2556 def 1600 ref cons nil cons 2557 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2518 remove nil cons cons 84 ref 2517 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1169 ref 1170 ref 2516 remove nil cons cons 2245 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2515 remove nil cons cons 84 ref 2514 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 2513 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2512 remove nil cons cons 84 ref 2511 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1131 ref 1123 remove 2510 remove nil cons cons 2246 remove cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp 2555 remove deductAntisym eqMp eqMp eqMp eqMp eqMp nil 1053 ref 121 ref 1515 ref cons nil cons 2558 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 1055 ref 1548 remove cons nil cons cons 2559 def 100 ref subst 2559 remove 157 ref subst 1551 remove 1552 remove 1058 ref appThm 1561 remove appThm 1562 remove appThm 1573 remove 1576 ref 1577 ref 531 ref 1578 ref 30 ref appTerm 2560 def 1581 ref appTerm 1582 ref appTerm appTerm 1581 ref appTerm absTerm 2561 def 1582 remove appTerm 2562 def betaConv 1580 ref 63 ref 2561 ref appTerm 2563 def absTerm 2564 def 1581 remove appTerm 2565 def betaConv nil 63 ref 2564 ref appTerm 2566 def axiom nil 83 ref 2566 remove nil cons cons 84 ref 2565 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 2564 remove nil cons cons 1589 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2563 remove nil cons cons 84 ref 2562 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 2561 remove nil cons cons 1590 remove cons nil cons cons 173 ref subst eqMp eqMp 2567 def subst 2568 def subst trans appThm sym 739 ref 1510 ref appTerm refl nil 2499 ref 84 ref 2493 ref 1509 ref appTerm 2569 def nil cons 2570 def cons nil cons cons nil cons cons 2571 def 100 ref subst 2571 remove 157 ref subst 1560 remove eqMp nil 2554 ref 121 ref 2570 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 1598 ref 2569 remove appTerm nil cons cons 84 ref 739 ref 1572 remove appTerm 2572 def 1493 ref 1571 ref appTerm 2573 def 1509 ref appTerm 2574 def appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil "e'" 46 ref var 2575 def 1600 ref cons nil cons nil cons cons nil 1623 ref 84 ref 739 ref 1571 ref appTerm 2576 def 1571 ref appTerm 2577 def nil cons 2578 def cons nil cons cons nil cons cons 2579 def 100 ref subst 2579 remove 157 ref subst 1571 ref refl eqMp nil 2243 ref 121 ref 2578 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 1595 ref 2577 remove appTerm nil cons cons 84 ref 68 ref 1598 ref 2493 ref 2575 ref varTerm 2580 def appTerm 2581 def appTerm appTerm 2582 def 2572 ref 2573 remove 2580 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil "t'" 46 ref var 2583 def 1571 ref nil cons 2584 def cons nil cons nil cons cons nil 24 ref 2048 ref cons nil cons nil cons cons 874 ref subst 1744 remove 1058 ref trans 2585 def trans sym 32 ref eqMp nil 83 ref 820 ref 1755 remove appTerm nil cons cons 84 ref 27 ref 1566 ref appTerm 2586 def 1492 ref appTerm nil cons 2587 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 932 ref "_14590" 1 ref var 2588 def 820 ref 163 ref 1469 ref 2588 remove varTerm appTerm appTerm appTerm absTerm 2589 def 621 ref appTerm betaConv appThm appThm 123 ref 1345 ref 183 ref 2589 ref 235 ref appTerm betaConv absThm appThm appThm 1345 ref 183 ref 2369 remove absThm appThm appThm appThm nil 287 ref 2589 remove nil cons cons nil cons nil cons cons nil 83 ref 68 ref 820 ref 692 ref appTerm 2590 def appTerm 27 ref 583 ref 183 ref 693 ref absTerm 2591 def appTerm 2592 def appTerm 583 ref 294 remove appTerm 2593 def appTerm 2594 def appTerm 2595 def nil cons cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 2595 remove appTerm 2596 def nil cons 2597 def cons 1032 ref cons nil cons cons 2598 def 100 ref subst 2598 remove 157 ref subst nil 178 ref 187 ref 901 ref 2261 ref 621 ref appTerm 2599 def appTerm 2600 def 583 ref 183 ref 2261 ref 235 ref appTerm 2601 def absTerm 2602 def appTerm appTerm absTerm appTerm 2603 def axiom nil 83 ref 2603 ref nil cons 2604 def cons 1032 ref cons nil cons cons 2605 def 144 ref subst proveHyp 2605 ref 100 ref subst 2605 remove 157 ref subst 179 ref 187 ref 123 ref 1874 ref 2599 ref refl appThm 2606 def 1345 ref 183 ref 2602 ref 194 ref appTerm betaConv 2607 def absThm appThm appThm appThm 1345 ref 183 ref 2606 remove 2607 remove appThm absThm appThm appThm nil 1996 ref 2602 remove nil cons cons 83 ref 2599 remove nil cons cons nil cons cons nil cons cons 2007 ref subst eqMp absThm appThm 123 ref 179 ref 187 ref 1345 ref 183 ref 187 ref 183 ref 2600 ref 2601 remove appTerm absTerm 2608 def absTerm 2609 def 193 ref appTerm betaConv 2610 def 1146 ref appThm 2608 ref 194 ref appTerm betaConv trans absThm appThm absThm appThm appThm 2329 ref 2330 ref 179 ref 187 ref 2610 remove 2331 ref 193 ref appTerm 2611 def refl appThm 2608 remove 2611 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 36 ref 2609 remove nil cons cons nil cons nil cons cons 2334 ref subst eqMp trans 2603 remove assume eqMp nil 83 ref 2328 ref 2330 ref 178 ref 187 ref 2600 remove 2261 ref 197 ref 2611 remove appTerm appTerm appTerm absTerm 2612 def appTerm 2613 def absTerm 2614 def appTerm 2615 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 2358 ref 2330 ref 68 ref 2614 ref 2331 ref appTerm 2616 def appTerm 841 ref appTerm 2617 def absTerm nil cons cons nil cons nil cons cons 2361 ref subst 2330 ref nil 24 ref 2617 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 2616 ref nil cons 2618 def cons 1032 ref cons nil cons cons 2619 def 100 ref subst 2619 remove 157 ref subst 2616 ref betaConv 2616 remove assume eqMp nil 83 ref 2613 remove nil cons 2620 def cons 2621 def 1032 ref cons nil cons cons 2622 def 144 ref subst proveHyp 2622 ref 100 ref subst 2622 remove 157 ref subst nil 83 ref 2590 ref nil cons 2623 def cons 2624 def 84 ref 2594 remove nil cons cons nil cons cons nil cons cons 1988 ref subst 23 ref 2590 ref refl appThm 2625 def nil 83 ref 2592 remove nil cons cons 84 ref 2593 ref nil cons cons nil cons cons nil cons cons nil 1856 ref 84 ref 27 ref 820 ref 430 ref appTerm appTerm 901 ref 1967 remove appTerm 10 ref 1773 ref appTerm 2626 def 87 ref appTerm appTerm appTerm nil cons 2627 def cons nil cons 2628 def cons nil cons cons 2629 def 100 ref subst 2629 remove 157 ref subst 27 ref "_554" 2 ref var 2630 def 27 ref 820 ref 27 ref 2630 remove varTerm 2631 def appTerm 87 ref appTerm appTerm appTerm 901 ref 10 ref 2631 ref appTerm 1911 ref appTerm appTerm 10 ref 820 ref 2631 remove appTerm appTerm 87 ref appTerm appTerm appTerm absTerm 2632 def 85 ref appTerm 2633 def appTerm refl 2634 def 2632 ref 841 ref appTerm betaConv appThm 123 ref 2633 remove betaConv appThm 2635 def 27 ref 820 ref 857 ref 87 ref appTerm 2636 def appTerm appTerm 901 ref 1977 remove appTerm 2134 ref 87 ref appTerm appTerm appTerm refl appThm trans 2632 remove refl 2637 def 1872 ref appThm eqMp sym 123 ref 932 ref 116 ref 868 ref subst 2638 def appThm 116 ref 874 ref subst trans appThm 1874 ref 1979 ref appThm 2136 ref 95 ref appThm 1938 ref trans appThm 1903 ref trans appThm 1905 ref trans sym 32 ref eqMp eqMp eqMp nil 1884 ref 121 ref 2627 ref cons nil cons 2639 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 1888 ref 2628 remove cons nil cons cons 2640 def 100 ref subst 2640 remove 157 ref subst 2634 remove "_552" 2 ref var 2641 def 27 ref 820 ref 27 ref 2641 remove varTerm 2642 def appTerm 87 ref appTerm appTerm appTerm 901 ref 10 ref 2642 ref appTerm 1911 ref appTerm appTerm 10 ref 820 ref 2642 remove appTerm appTerm 87 ref appTerm appTerm appTerm absTerm 30 ref appTerm betaConv appThm 2635 remove 27 ref 820 ref 878 ref 87 ref appTerm 2643 def appTerm appTerm 901 ref 1986 remove appTerm 2142 ref 87 ref appTerm appTerm appTerm refl appThm trans 2637 remove 1895 ref appThm eqMp sym 123 ref 932 ref 116 ref 882 ref subst 2644 def appThm appThm 1874 ref 1987 ref appThm 2143 ref 95 remove appThm 1928 ref trans appThm 1931 ref 2218 ref subst trans appThm 1940 ref trans sym 32 ref eqMp eqMp eqMp nil 1906 ref 2639 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1908 ref nil 1906 ref 1909 ref 911 ref 2627 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 2645 def subst 1874 ref 23 ref 1345 ref 183 ref 693 ref refl absThm appThm appThm 1347 ref appThm appThm 23 ref nil 206 ref 2591 ref nil cons 2646 def cons nil cons nil cons cons 2322 ref subst 179 ref 183 ref 932 ref 2591 remove 194 ref appTerm betaConv 2647 def appThm absThm appThm trans appThm 1345 ref 183 ref 293 ref refl absThm appThm appThm appThm trans appThm trans 2625 ref 1874 ref 123 ref 23 ref 1345 ref 183 ref 2647 ref absThm appThm appThm 178 ref 183 ref 820 ref 293 ref appTerm absTerm 2648 def appTerm 2649 def refl 2650 def appThm appThm 1345 ref 183 ref 23 ref 2647 remove appThm 2650 remove appThm absThm appThm appThm nil 287 ref 2646 remove cons 84 ref 2649 ref nil cons 2651 def cons nil cons cons nil cons cons 221 ref 84 ref 27 ref 999 remove 87 ref appTerm appTerm 331 ref 64 ref 935 remove 87 ref appTerm absTerm 2652 def appTerm appTerm absTerm 2653 def 87 ref appTerm 2654 def betaConv 161 ref 311 ref 2653 ref appTerm 2655 def absTerm 2656 def 163 ref appTerm 2657 def betaConv nil 254 ref 2656 ref appTerm 2658 def axiom nil 83 ref 2658 remove nil cons cons 84 ref 2657 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 2656 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2655 remove nil cons cons 84 ref 2654 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2653 remove nil cons cons 1644 ref cons nil cons cons 173 ref subst eqMp eqMp 2659 def subst 2660 def subst eqMp appThm nil 1996 ref 303 remove cons 83 ref 178 ref 183 ref 820 ref 693 ref appTerm absTerm 2661 def appTerm 2662 def nil cons 2663 def cons 2664 def nil cons cons nil cons cons 221 ref 2353 ref subst 2665 def subst appThm 123 ref 1874 ref 1345 ref 183 ref 183 ref 10 ref 693 ref appTerm 2649 remove appTerm 2666 def absTerm 2667 def 194 ref appTerm betaConv 2668 def absThm appThm appThm 1345 ref 183 ref 183 ref 10 ref 2662 remove appTerm 293 ref appTerm 2669 def absTerm 2670 def 194 ref appTerm betaConv 2671 def absThm appThm appThm appThm 1345 ref 183 ref 1874 ref 2668 remove appThm 2671 remove appThm absThm appThm appThm nil 287 ref 2667 remove nil cons cons 1996 ref 2670 remove nil cons cons nil cons cons nil cons cons 221 ref 1446 ref 27 ref 2018 remove 1998 ref appTerm 2672 def appTerm 331 ref 64 ref 2019 ref 1448 ref appTerm absTerm appTerm 2673 def appTerm absTerm 2674 def 1447 ref appTerm 2675 def betaConv 161 ref 254 ref 2674 ref appTerm 2676 def absTerm 2677 def 163 ref appTerm 2678 def betaConv nil 254 ref 2677 ref appTerm 2679 def axiom nil 83 ref 2679 remove nil cons cons 84 ref 2678 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 2677 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2676 remove nil cons cons 84 ref 2675 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 2674 remove nil cons cons 1458 ref cons nil cons cons 173 ref subst eqMp eqMp 2680 def subst 2681 def subst eqMp trans appThm 123 ref 2625 ref 1345 ref 183 ref 183 ref 901 ref 2666 ref appTerm 2669 ref appTerm 2682 def absTerm 2683 def 194 ref appTerm betaConv 2684 def absThm appThm appThm appThm 1345 ref 183 ref 2625 remove 2684 remove appThm absThm appThm appThm nil 1996 ref 2683 remove nil cons cons 2624 ref nil cons cons nil cons cons 2665 ref subst eqMp trans trans 2596 remove assume eqMp nil 83 ref 583 ref 183 ref 10 ref 2590 remove appTerm 2685 def 2682 ref appTerm 2686 def absTerm 2687 def appTerm 2688 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 183 ref 68 ref 2687 ref 194 ref appTerm 2689 def appTerm 841 ref appTerm 2690 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 2690 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 2689 ref nil cons 2691 def cons 1032 ref cons nil cons cons 2692 def 100 ref subst 2692 remove 157 ref subst 2689 ref betaConv 2689 remove assume eqMp nil 83 ref 2686 remove nil cons 2693 def cons 1032 ref cons nil cons cons 2694 def 144 ref subst proveHyp 2694 ref 100 ref subst 2694 remove 157 ref subst nil 83 ref 2669 remove nil cons 2695 def cons 1032 ref cons nil cons cons 2696 def 100 ref subst 2696 remove 157 ref subst nil 119 ref 2623 ref cons 121 ref 2682 remove nil cons cons nil cons cons nil cons cons 2697 def 135 ref subst nil 2624 remove 84 ref 293 ref nil cons 2698 def cons nil cons 2699 def cons nil cons cons 157 ref subst proveHyp nil 119 ref 2663 remove cons 121 ref 2698 remove cons nil cons cons nil cons cons 2700 def 581 ref subst 2701 def eqMp nil 83 ref 2685 remove 293 ref appTerm nil cons cons 84 ref 820 ref 585 ref 621 ref appTerm appTerm nil cons 2702 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14537" 1 ref var 2703 def 622 ref cons "_14536" 1 ref var 2704 def 209 ref cons nil cons 2705 def cons nil cons cons nil 836 ref 901 ref 291 ref 2703 ref varTerm 2706 def appTerm 2707 def appTerm 820 ref 291 ref 2704 remove varTerm 2708 def appTerm 2709 def appTerm 2710 def appTerm nil cons 2711 def cons 2712 def 838 ref 820 ref 195 ref 2708 remove appTerm 2706 remove appTerm 2713 def appTerm 2714 def nil cons 2715 def cons nil cons 2716 def cons nil cons cons 2085 ref subst 182 ref nil 836 ref 2710 ref nil cons 2717 def cons 2718 def 838 ref 2707 ref nil cons 2719 def cons nil cons 2720 def cons nil cons cons 2144 ref subst 10 ref 820 ref 2707 ref appTerm appTerm refl nil 838 ref 2709 ref nil cons cons nil cons 2721 def nil cons cons 2086 ref subst 2722 def appThm trans appThm 2714 ref refl appThm trans nil 2712 remove 838 ref 2713 ref nil cons 2723 def cons nil cons 2724 def cons nil cons cons 2191 ref subst nil 83 ref 2723 ref cons 84 ref 2711 ref cons nil cons 2725 def cons nil cons cons 2726 def 100 ref subst 2726 remove 157 ref subst 291 ref refl 2713 remove assume appThm nil 83 ref 27 ref 2709 remove appTerm 2707 ref appTerm nil cons cons 2725 remove cons nil cons cons 144 ref subst proveHyp nil 836 ref 2719 ref cons 2721 remove cons nil cons cons 2219 ref subst eqMp eqMp nil 119 ref 2723 remove cons 121 ref 2711 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp 2727 def eqMp subst eqMp nil 83 ref 2702 remove cons 84 ref 585 ref 197 ref 2332 ref appTerm 2728 def appTerm 2729 def nil cons 2730 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14526" 1 ref var 2731 def 209 ref cons nil cons nil cons cons nil 836 ref 195 ref 2731 remove varTerm 2732 def appTerm 2733 def 621 ref appTerm 2734 def nil cons 2735 def cons 838 ref 2733 remove 197 ref 2331 ref 2732 ref appTerm appTerm appTerm 2736 def nil cons 2737 def cons nil cons cons nil cons cons 2085 ref subst 27 ref 901 ref 2734 remove appTerm 2736 remove appTerm 2738 def appTerm refl nil 84 ref 2735 remove cons 83 ref 2737 remove cons nil cons cons nil cons cons 2097 ref subst appThm nil 315 ref 2738 remove nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 2612 ref 2732 ref appTerm 2739 def betaConv nil 2621 remove 84 ref 2739 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 2612 remove nil cons cons 180 ref 2732 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 2730 remove cons 2699 remove cons nil cons cons 157 ref subst proveHyp 2701 remove eqMp nil 83 ref 10 ref 2729 remove appTerm 293 ref appTerm nil cons cons 84 ref 291 ref 2728 ref appTerm nil cons 2740 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil 2703 remove 2728 remove nil cons cons 2705 remove cons nil cons cons nil 836 ref 901 ref 2714 remove appTerm 2710 remove appTerm nil cons cons 2720 remove cons nil cons cons 2085 ref subst 182 ref nil 2718 remove 2716 remove cons nil cons cons 2144 ref subst 23 ref nil 2724 remove nil cons cons 2086 ref subst appThm 2722 remove appThm trans appThm 2707 remove refl appThm trans nil 917 ref 2717 remove cons 84 ref 2719 remove cons 83 ref 2715 remove cons nil cons cons cons nil cons cons 2174 ref subst 2727 remove eqMp eqMp subst eqMp nil 83 ref 2740 remove cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_14527" 1 ref var 2741 def 2332 ref nil cons cons nil cons nil cons cons nil 83 ref 291 ref 197 ref 2741 remove varTerm 2742 def appTerm appTerm nil cons cons nil cons nil cons cons 2222 ref subst 2661 ref 2742 ref appTerm 2743 def betaConv 2700 remove 135 ref subst nil 2664 remove 84 ref 2743 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2661 remove nil cons cons 180 ref 2742 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 2695 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 2666 remove nil cons 2744 def cons 1032 ref cons nil cons cons 2745 def 100 ref subst 2745 remove 157 ref subst nil 119 ref 693 remove nil cons 2746 def cons 121 ref 2651 ref cons nil cons cons nil cons cons 2747 def 135 ref subst nil 83 ref 2746 remove cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_14524" 1 ref var 2748 def 1276 ref cons nil cons nil cons cons nil 83 ref 291 ref 2748 remove varTerm 2749 def appTerm nil cons cons nil cons nil cons cons 2222 ref subst 2648 ref 2749 ref appTerm 2750 def betaConv 2747 remove 581 ref subst nil 83 ref 2651 remove cons 84 ref 2750 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2648 remove nil cons cons 180 ref 2749 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 2744 remove cons 2751 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp 2697 remove 581 ref subst nil 2751 remove 121 ref 2695 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp nil 119 ref 2693 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 2691 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 2687 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 2688 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2687 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 2620 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 2618 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 2482 ref 2483 ref 68 ref 2614 ref 2484 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 2615 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 2342 ref 2358 ref 2614 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 2604 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 2597 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp 2752 def subst eqMp eqMp nil 83 ref 2587 remove cons 84 ref 68 ref 1595 ref 2576 ref 2583 ref varTerm 2753 def appTerm 2754 def appTerm appTerm 2582 remove 2572 ref 1493 remove 2753 ref appTerm 2580 ref appTerm appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil "g'" 2 ref var 2755 def 1602 ref cons nil cons nil cons cons 2575 remove 68 ref 2586 remove 2755 ref varTerm 2756 def appTerm appTerm 68 ref 68 ref 2756 ref appTerm 2757 def 2754 remove appTerm appTerm 68 ref 68 ref 820 ref 2756 ref appTerm appTerm 2758 def 2581 remove appTerm appTerm 2572 remove 1398 ref 2756 ref appTerm 2753 ref appTerm 2580 ref appTerm appTerm appTerm appTerm appTerm absTerm 2759 def 2580 ref appTerm 2760 def betaConv 2583 remove 66 ref 2759 ref appTerm 2761 def absTerm 2762 def 2753 ref appTerm 2763 def betaConv 2755 ref 66 ref 2762 ref appTerm 2764 def absTerm 2765 def 2756 ref appTerm 2766 def betaConv nil "e" 46 ref var 1600 ref cons "t" 46 ref var 2584 ref cons "g" 2 ref var 2767 def 1566 remove nil cons cons nil cons cons cons nil cons cons 1576 ref nil 314 ref 2755 ref 63 ref "t'" 45 ref var 2768 def 63 ref "e'" 45 ref var 2769 def 68 ref 27 ref 2767 remove varTerm 2770 def appTerm 2771 def 2756 ref appTerm appTerm 68 ref 2757 ref 531 ref "t" 45 ref var 2772 def varTerm 2773 def appTerm 2774 def 2768 ref varTerm 2775 def appTerm 2776 def appTerm appTerm 2777 def 68 ref 2758 ref 531 ref 1154 ref appTerm 2778 def 2769 ref varTerm 2779 def appTerm 2780 def appTerm appTerm 2781 def 531 ref 1578 ref 2770 ref appTerm 2773 ref appTerm 1154 ref appTerm appTerm 1578 ref 2756 ref appTerm 2775 ref appTerm 2779 ref appTerm 2782 def appTerm appTerm appTerm appTerm 2783 def absTerm 2784 def appTerm 2785 def absTerm 2786 def appTerm 2787 def absTerm nil cons cons nil cons nil cons cons 344 ref subst 2755 remove nil 24 ref 2787 remove nil cons cons nil cons nil cons cons 33 ref subst nil 150 ref 2786 remove nil cons cons nil cons nil cons cons 222 ref subst 2768 remove nil 24 ref 2785 remove nil cons cons nil cons nil cons cons 33 ref subst nil 150 ref 2784 remove nil cons cons nil cons nil cons cons 222 ref subst 2769 remove nil 24 ref 2783 remove nil cons 2788 def cons nil cons nil cons cons 33 ref subst nil 83 ref 2771 ref 841 ref appTerm 2789 def nil cons 2790 def cons 84 ref 2788 ref cons nil cons 2791 def cons nil cons cons 2792 def 100 ref subst 2792 remove 157 ref subst 27 ref "_502" 2 ref var 2793 def 68 ref 27 ref 2793 remove varTerm 2794 def appTerm 2756 ref appTerm appTerm 2777 ref 2781 ref 531 ref 1578 ref 2794 remove appTerm 2773 ref appTerm 1154 ref appTerm appTerm 2782 ref appTerm appTerm appTerm appTerm absTerm 2795 def 2770 ref appTerm 2796 def appTerm refl 2797 def 2795 ref 841 ref appTerm betaConv appThm 123 ref 2796 remove betaConv appThm 2798 def 68 ref 857 ref 2756 ref appTerm appTerm 2777 ref 2781 ref 531 ref 1579 ref 2773 ref appTerm 1154 ref appTerm appTerm 2782 ref appTerm appTerm appTerm appTerm refl appThm trans 2795 remove refl 2799 def 2789 remove assume appThm eqMp sym 182 ref nil 24 ref 2756 ref nil cons 2800 def cons nil cons nil cons cons 2801 def 868 ref subst appThm 2777 ref refl 2802 def 2781 ref refl 2803 def 1516 ref nil 1577 ref 1168 remove cons 1580 ref 2773 ref nil cons 2804 def cons nil cons cons nil cons cons 2805 def 1591 ref subst appThm 2782 ref refl 2806 def appThm appThm appThm appThm sym nil 83 ref 27 ref 2756 ref appTerm 2807 def 841 ref appTerm 2808 def nil cons 2809 def cons 2810 def 84 ref 2758 remove 2777 ref 2781 ref 2778 ref 2782 ref appTerm appTerm appTerm appTerm nil cons 2811 def cons nil cons 2812 def cons nil cons cons 2813 def 100 ref subst 2813 remove 157 ref subst 27 ref "_510" 2 ref var 2814 def 68 ref 820 ref 2814 remove varTerm 2815 def appTerm appTerm 2816 def 68 ref 68 ref 2815 ref appTerm 2776 ref appTerm appTerm 68 ref 2816 remove 2780 ref appTerm appTerm 2778 ref 1578 ref 2815 remove appTerm 2775 ref appTerm 2779 ref appTerm appTerm appTerm appTerm appTerm absTerm 2817 def 2756 ref appTerm 2818 def appTerm refl 2819 def 2817 ref 841 ref appTerm betaConv appThm 123 ref 2818 remove betaConv appThm 2820 def 68 ref 858 remove appTerm 2821 def 68 ref 1035 ref 2776 ref appTerm appTerm 2822 def 68 ref 2821 ref 2780 ref appTerm appTerm 2823 def 2778 ref 1579 remove 2775 ref appTerm 2779 ref appTerm 2824 def appTerm appTerm appTerm appTerm refl appThm trans 2817 remove refl 2825 def 2808 remove assume 2826 def appThm eqMp sym 182 ref 876 ref appThm 2827 def 182 ref nil 24 ref 2776 ref nil cons cons nil cons nil cons cons 2828 def 1049 ref subst appThm 182 ref 2827 remove 2780 ref refl 2829 def appThm nil 24 ref 2780 ref nil cons cons nil cons nil cons cons 2830 def 1063 ref subst trans appThm 2778 ref refl 2831 def nil 1577 remove 2779 ref nil cons cons 1580 remove 2775 ref nil cons cons nil cons cons nil cons cons 2832 def 1591 ref subst appThm appThm 2830 ref 1093 ref subst trans appThm 306 ref 1063 ref subst 2833 def trans appThm 2833 remove trans sym 32 ref eqMp eqMp eqMp nil 119 ref 2809 ref cons 2834 def 121 ref 2811 ref cons nil cons 2835 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 2807 remove 30 ref appTerm 2836 def nil cons 2837 def cons 2838 def 2812 remove cons nil cons cons 2839 def 100 ref subst 2839 remove 157 ref subst 2819 remove "_508" 2 ref var 2840 def 68 ref 820 ref 2840 remove varTerm 2841 def appTerm appTerm 2842 def 68 ref 68 ref 2841 ref appTerm 2776 ref appTerm appTerm 68 ref 2842 remove 2780 ref appTerm appTerm 2778 ref 1578 ref 2841 remove appTerm 2775 ref appTerm 2779 ref appTerm appTerm appTerm appTerm appTerm absTerm 30 ref appTerm betaConv appThm 2820 remove 68 ref 894 remove appTerm 2843 def 68 ref 1059 ref 2776 ref appTerm appTerm 2844 def 68 ref 2843 ref 2780 ref appTerm appTerm 2845 def 2778 ref 2560 ref 2775 ref appTerm 2779 ref appTerm 2846 def appTerm appTerm appTerm appTerm refl appThm trans 2825 remove 2836 remove assume 2847 def appThm eqMp sym 182 ref 897 ref appThm 2848 def 182 ref 2828 ref 1063 ref subst 2849 def appThm 2850 def 182 ref 2848 remove 2829 remove appThm 2830 remove 1049 ref subst trans appThm 2851 def 2831 remove 2832 remove 2567 ref subst 2852 def appThm appThm nil 24 ref 2778 remove 2775 ref appTerm 2853 def nil cons cons nil cons nil cons cons 1063 ref subst trans appThm appThm nil 24 ref 68 ref 2776 ref appTerm 2853 remove appTerm nil cons cons nil cons nil cons cons 1049 ref subst trans sym 32 ref eqMp eqMp eqMp nil 119 ref 2837 remove cons 2854 def 2835 remove cons nil cons cons 135 ref subst deductAntisym eqMp 902 ref 2756 ref appTerm 2855 def betaConv 905 ref nil 906 ref 84 ref 2855 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 907 ref 315 ref 2800 remove cons nil cons 2856 def cons nil cons cons 173 ref subst eqMp eqMp 2857 def nil 2854 ref 121 ref 2809 remove cons 2858 def 911 ref 2811 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 119 ref 2790 ref cons 121 ref 2788 ref cons nil cons 2859 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 2771 remove 30 ref appTerm 2860 def nil cons 2861 def cons 2791 remove cons nil cons cons 2862 def 100 ref subst 2862 remove 157 ref subst 2797 remove "_500" 2 ref var 2863 def 68 ref 27 ref 2863 remove varTerm 2864 def appTerm 2756 ref appTerm appTerm 2777 ref 2781 ref 531 ref 1578 ref 2864 remove appTerm 2773 ref appTerm 1154 ref appTerm appTerm 2782 ref appTerm appTerm appTerm appTerm absTerm 30 ref appTerm betaConv appThm 2798 remove 68 ref 878 ref 2756 ref appTerm appTerm 2777 ref 2781 ref 531 ref 2560 remove 2773 ref appTerm 1154 remove appTerm appTerm 2782 ref appTerm appTerm appTerm appTerm refl appThm trans 2799 remove 2860 remove assume appThm eqMp sym 182 ref 2801 remove 882 ref subst appThm 2802 remove 2803 remove 1516 ref 2805 remove 2567 ref subst appThm 2806 remove appThm appThm appThm appThm sym nil 2810 remove 84 ref 2757 remove 2777 remove 2781 remove 2774 ref 2782 remove appTerm appTerm appTerm appTerm nil cons 2865 def cons nil cons 2866 def cons nil cons cons 2867 def 100 ref subst 2867 remove 157 ref subst 27 ref "_506" 2 ref var 2868 def 68 ref 2868 remove varTerm 2869 def appTerm 2870 def 68 ref 2870 remove 2776 ref appTerm appTerm 68 ref 68 ref 820 ref 2869 ref appTerm appTerm 2780 ref appTerm appTerm 2774 ref 1578 ref 2869 remove appTerm 2775 ref appTerm 2779 ref appTerm appTerm appTerm appTerm appTerm absTerm 2871 def 2756 remove appTerm 2872 def appTerm refl 2873 def 2871 ref 841 ref appTerm betaConv appThm 123 ref 2872 remove betaConv appThm 2874 def 1035 ref 2822 remove 2823 remove 2774 ref 2824 remove appTerm appTerm appTerm 2875 def appTerm refl appThm trans 2871 remove refl 2876 def 2826 remove appThm eqMp sym nil 24 ref 2875 remove nil cons cons nil cons nil cons cons 1049 ref subst sym 32 ref eqMp eqMp eqMp nil 2834 remove 121 ref 2865 ref cons nil cons 2877 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 2838 remove 2866 remove cons nil cons cons 2878 def 100 ref subst 2878 remove 157 ref subst 2873 remove "_504" 2 ref var 2879 def 68 ref 2879 remove varTerm 2880 def appTerm 2881 def 68 ref 2881 remove 2776 remove appTerm appTerm 68 ref 68 ref 820 ref 2880 ref appTerm appTerm 2780 remove appTerm appTerm 2774 ref 1578 remove 2880 remove appTerm 2775 remove appTerm 2779 remove appTerm appTerm appTerm appTerm appTerm absTerm 30 ref appTerm betaConv appThm 2874 remove 1059 ref 2844 remove 2845 remove 2774 ref 2846 remove appTerm appTerm appTerm 2882 def appTerm refl appThm trans 2876 remove 2847 remove appThm eqMp sym nil 24 ref 2882 remove nil cons cons nil cons nil cons cons 1063 ref subst 2850 remove 2851 remove 2774 ref refl 2852 remove appThm appThm 2849 remove trans appThm 2828 remove 1093 ref subst trans trans sym 32 ref eqMp eqMp eqMp nil 2854 ref 2877 remove cons nil cons cons 135 ref subst deductAntisym eqMp 2857 remove nil 2854 remove 2858 remove 911 ref 2865 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 119 ref 2861 remove cons 2883 def 2859 remove cons nil cons cons 135 ref subst deductAntisym eqMp 902 ref 2770 ref appTerm 2884 def betaConv 905 ref nil 906 ref 84 ref 2884 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 907 ref 315 ref 2770 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 2883 remove 121 ref 2790 remove cons 911 ref 2788 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp subst subst nil 83 ref 311 ref 2765 ref appTerm nil cons cons 84 ref 2766 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2765 remove nil cons cons 2856 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2764 remove nil cons cons 84 ref 2763 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 2762 remove nil cons cons 2556 ref 2753 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2761 remove nil cons cons 84 ref 2760 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 2759 remove nil cons cons 2556 ref 2580 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp subst eqMp appThm sym 123 ref "_14620" 46 ref var 2885 def 739 ref 2885 remove varTerm appTerm 2574 ref appTerm absTerm 2886 def 1510 remove appTerm betaConv appThm 23 ref 1596 remove 2886 ref 1507 ref appTerm betaConv appThm appThm 1599 remove 2886 ref 1509 ref appTerm betaConv appThm appThm appThm 1603 remove nil 1604 remove 2886 remove nil cons cons nil cons nil cons cons 1622 remove subst subst eqMp sym nil 1623 remove 84 ref 1624 ref 2574 ref appTerm 2887 def nil cons 2888 def cons nil cons cons nil cons cons 2889 def 100 ref subst 2889 remove 157 ref subst 27 ref "_14622" 2 ref var 2890 def 1624 ref 1398 ref 2890 remove varTerm appTerm 1571 ref appTerm 1509 ref appTerm appTerm absTerm 2891 def 1492 ref appTerm 2892 def appTerm refl 2891 ref 30 ref appTerm betaConv appThm 123 ref 2892 remove betaConv appThm 1624 ref 1398 ref 30 ref appTerm 1571 ref appTerm 1509 ref appTerm appTerm refl appThm trans 2891 remove refl nil 24 ref 1602 remove cons nil cons nil cons cons 33 ref subst 1492 ref assume eqMp appThm eqMp sym 1624 ref refl nil 1563 remove 1600 remove cons 1564 remove 2584 remove cons nil cons cons nil cons cons 2893 def 2568 remove subst appThm sym 2576 remove 1507 remove appTerm assume sym 1624 remove 1571 ref appTerm assume sym deductAntisym sym 1556 remove 1557 remove 255 ref 1345 ref 183 ref 2103 remove 2104 remove 2585 ref sym 32 ref eqMp nil 83 ref 2048 remove cons 84 ref 27 ref 1570 remove appTerm 1761 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref "_14632" 1 ref var 2894 def 163 ref 1469 ref 2894 remove varTerm appTerm appTerm absTerm 2895 def 621 ref appTerm betaConv appThm 123 ref 179 ref 187 ref 1559 ref 2895 ref 198 ref appTerm betaConv appThm absThm appThm appThm 179 ref 187 ref 1760 ref refl 2895 ref 193 ref appTerm betaConv appThm absThm appThm appThm appThm nil 287 ref 2895 remove nil cons cons nil cons nil cons cons nil 83 ref 692 ref nil cons 2896 def cons 2897 def 84 ref 27 ref 178 ref 187 ref 290 ref 291 ref 198 ref appTerm 2898 def appTerm 2899 def absTerm 2900 def appTerm 2901 def appTerm 178 ref 187 ref 1760 remove 292 ref appTerm 2902 def absTerm 2903 def appTerm 2904 def appTerm nil cons 2905 def cons nil cons cons nil cons cons 2906 def 100 ref subst 2906 remove 157 ref subst nil 83 ref 2901 ref nil cons 2907 def cons 2908 def 84 ref 2904 ref nil cons 2909 def cons nil cons 2910 def cons nil cons cons 2911 def 975 ref subst 2911 ref 100 ref subst 2911 remove 157 ref subst nil 83 ref 68 ref 1783 remove appTerm 692 ref appTerm 2912 def nil cons cons 2913 def nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 2912 ref appTerm 2914 def nil cons 2915 def cons 2916 def 1032 ref cons nil cons cons 2917 def 100 ref subst 2917 remove 157 ref subst nil 178 ref 187 ref 178 ref 183 ref 27 ref 22 ref 198 ref appTerm 2918 def 235 ref appTerm 2919 def appTerm 289 ref appTerm absTerm appTerm absTerm appTerm 2920 def axiom nil 83 ref 2920 ref nil cons 2921 def cons 1032 ref cons nil cons cons 2922 def 144 ref subst proveHyp 2923 def 1786 ref nil 1788 ref 84 ref 68 ref 2920 ref appTerm 841 ref appTerm 2924 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 2925 def nil 2916 ref 84 ref 1790 ref 2924 remove appTerm 2926 def nil cons cons nil cons 2927 def cons nil cons cons 144 ref subst nil 2908 ref 84 ref 68 ref 2914 ref appTerm 2928 def 2926 ref appTerm 2929 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 2897 ref 84 ref 68 ref 2901 ref appTerm 2930 def 2929 remove appTerm 2931 def nil cons cons nil cons cons nil cons cons 144 ref subst 183 ref 68 ref 692 remove appTerm 2932 def 2931 remove appTerm absTerm 2933 def 194 ref appTerm 2934 def betaConv 287 ref 178 ref 2933 ref appTerm 2935 def absTerm 2936 def 291 ref appTerm 2937 def betaConv 286 ref 287 ref 179 ref 183 ref 2932 ref refl 2938 def 2930 ref refl 2939 def 2928 ref refl 1790 ref refl nil 24 ref 2921 ref cons nil cons nil cons cons 1386 ref subst 2940 def appThm 2941 def appThm appThm appThm absThm appThm absThm appThm sym nil 301 ref 287 ref 178 ref 183 ref 2932 ref 2930 ref 2928 remove 1790 remove 820 ref 2920 ref appTerm 2942 def appTerm 2943 def appTerm 2944 def appTerm 2945 def appTerm 2946 def absTerm 2947 def appTerm 2948 def absTerm nil cons cons nil cons nil cons cons 307 remove 222 ref subst 2949 def subst 287 ref nil 24 ref 2948 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 2947 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 2946 remove nil cons cons nil cons nil cons cons 33 ref subst nil 2897 ref 84 ref 2945 remove nil cons 2950 def cons nil cons cons nil cons cons 2951 def 100 ref subst 2951 remove 157 ref subst nil 2908 ref 84 ref 2944 remove nil cons 2952 def cons nil cons cons nil cons cons 2953 def 100 ref subst 2953 remove 157 ref subst nil 2916 remove 84 ref 2943 ref nil cons 2954 def cons nil cons 2955 def cons nil cons cons 2956 def 100 ref subst 2956 remove 157 ref subst nil 1788 ref 84 ref 2942 remove nil cons 2957 def cons nil cons cons nil cons cons 2958 def 100 ref subst 2959 def 2958 remove 157 ref subst 2960 def 2940 ref 2922 ref 100 ref subst 2961 def 2922 remove 157 ref subst 2962 def nil 2897 ref 1032 ref cons nil cons cons 144 ref subst nil 2897 ref nil cons nil cons cons 2222 ref subst nil 2056 remove 84 ref 2896 ref cons nil cons cons nil cons cons 1988 ref subst 2914 remove assume eqMp nil 119 ref 2055 remove cons 121 ref 2623 remove cons nil cons cons nil cons cons 581 ref subst proveHyp eqMp eqMp eqMp nil 119 ref 2921 remove cons 1390 ref cons nil cons cons 135 ref subst 2963 def deductAntisym eqMp eqMp eqMp nil 2240 remove 121 ref 2957 remove cons nil cons cons nil cons cons 135 ref subst 2964 def deductAntisym eqMp eqMp nil 119 ref 2915 remove cons 2965 def 121 ref 2954 remove cons nil cons 2966 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 2907 ref cons 2967 def 121 ref 2952 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 2896 remove cons 2968 def 121 ref 2950 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 285 ref 2936 ref appTerm nil cons cons 84 ref 2937 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 300 ref 301 ref 2936 remove nil cons cons 304 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2935 remove nil cons cons 84 ref 2934 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2933 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 2965 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 2913 remove 84 ref 178 ref 187 ref 68 ref 2902 ref appTerm 2969 def 68 ref 2919 ref appTerm 2898 ref appTerm 2970 def appTerm 2971 def absTerm 2972 def appTerm 2973 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 206 ref 2972 remove nil cons cons nil cons nil cons cons 223 ref subst 187 ref nil 24 ref 2971 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 2902 ref nil cons 2974 def cons 2975 def 84 ref 2970 ref nil cons 2976 def cons nil cons cons nil cons cons 2977 def 100 ref subst 2977 remove 157 ref subst nil 83 ref 2976 ref cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 2970 remove appTerm 2978 def nil cons 2979 def cons 2980 def 1032 ref cons nil cons cons 2981 def 100 ref subst 2981 remove 157 ref subst 2923 ref 2925 ref nil 2980 ref 2927 ref cons nil cons cons 144 ref subst nil 2975 ref 84 ref 68 ref 2978 ref appTerm 2982 def 2926 ref appTerm 2983 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 2908 ref 84 ref 2969 ref 2983 remove appTerm 2984 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 2897 ref 84 ref 2930 ref 2984 remove appTerm 2985 def nil cons cons nil cons cons nil cons cons 144 ref subst 183 ref 2932 ref 2985 remove appTerm absTerm 2986 def 194 ref appTerm 2987 def betaConv 287 ref 178 ref 2986 ref appTerm 2988 def absTerm 2989 def 291 ref appTerm 2990 def betaConv 187 ref 285 ref 2989 ref appTerm 2991 def absTerm 2992 def 193 ref appTerm 2993 def betaConv 179 ref 187 ref 286 ref 287 ref 179 ref 183 ref 2938 ref 2939 remove 2969 ref refl 2982 ref refl 2941 ref appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm sym nil 206 ref 187 ref 285 ref 287 ref 178 ref 183 ref 2932 ref 2930 ref 2969 remove 2982 remove 2943 ref appTerm 2994 def appTerm 2995 def appTerm 2996 def appTerm 2997 def absTerm 2998 def appTerm 2999 def absTerm 3000 def appTerm 3001 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 187 ref nil 24 ref 3001 remove nil cons cons nil cons nil cons cons 33 ref subst nil 301 ref 3000 remove nil cons cons nil cons nil cons cons 2949 ref subst 287 ref nil 24 ref 2999 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 2998 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 2997 remove nil cons cons nil cons nil cons cons 33 ref subst nil 2897 ref 84 ref 2996 remove nil cons 3002 def cons nil cons cons nil cons cons 3003 def 100 ref subst 3003 remove 157 ref subst nil 2908 remove 84 ref 2995 remove nil cons 3004 def cons nil cons cons nil cons cons 3005 def 100 ref subst 3005 remove 157 ref subst nil 2975 remove 84 ref 2994 remove nil cons 3006 def cons nil cons cons nil cons cons 3007 def 100 ref subst 3007 remove 157 ref subst nil 2980 remove 2955 ref cons nil cons cons 3008 def 100 ref subst 3008 remove 157 ref subst 2959 ref 2960 ref 2940 ref 2961 ref 2962 ref nil 83 ref 292 ref nil cons 3009 def cons 1032 ref cons nil cons cons 3010 def 100 ref subst 3010 remove 157 ref subst nil 83 ref 2919 ref nil cons 3011 def cons 3012 def 84 ref 2898 ref nil cons 3013 def cons nil cons 3014 def cons nil cons cons 1988 ref subst 2978 remove assume eqMp 3015 def nil 119 ref 3011 remove cons 121 ref 820 ref 2898 ref appTerm nil cons cons nil cons cons nil cons cons 3016 def 135 ref subst proveHyp nil 3012 remove 84 ref 1964 ref cons nil cons cons nil cons cons 3017 def 144 ref subst proveHyp nil "_14561" 1 ref var 3018 def 209 ref cons "_14560" 1 ref var 3019 def 207 ref cons nil cons cons nil cons cons nil 836 ref 820 ref 22 ref 197 ref 3019 remove varTerm 3020 def appTerm appTerm 3021 def 197 ref 3018 remove varTerm 3022 def appTerm appTerm 3023 def appTerm nil cons 3024 def cons 838 ref 22 ref 3020 ref appTerm 3025 def 3022 ref appTerm 3026 def nil cons 3027 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 3023 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 3026 remove refl appThm trans nil 84 ref 3027 remove cons 83 ref 3024 remove cons nil cons cons nil cons cons 2097 ref subst 183 ref 901 ref 820 ref 3021 remove 235 ref appTerm appTerm appTerm 3025 remove 194 ref appTerm appTerm absTerm 3028 def 3022 ref appTerm 3029 def betaConv 187 ref 178 ref 183 ref 901 ref 820 ref 2919 ref appTerm appTerm 289 ref appTerm absTerm 3030 def appTerm absTerm 3031 def 3020 ref appTerm 3032 def betaConv 179 ref 187 ref 179 ref 183 ref 3017 remove nil 1856 ref 84 ref 27 ref 430 remove appTerm 3033 def 10 ref 1997 ref 1911 ref appTerm appTerm 1858 remove appTerm appTerm nil cons 3034 def cons nil cons 3035 def cons nil cons cons 3036 def 100 ref subst 3036 remove 157 ref subst 27 ref "_558" 2 ref var 3037 def 27 ref 27 ref 3037 remove varTerm 3038 def appTerm 87 ref appTerm appTerm 10 ref 901 ref 3038 ref appTerm 1911 ref appTerm appTerm 901 ref 820 ref 3038 remove appTerm appTerm 87 ref appTerm appTerm appTerm absTerm 3039 def 85 ref appTerm 3040 def appTerm refl 3041 def 3039 ref 841 ref appTerm betaConv appThm 123 ref 3040 remove betaConv appThm 3042 def 27 ref 2636 remove appTerm 3043 def 10 ref 1898 ref 1911 ref appTerm appTerm 1870 remove appTerm appTerm refl appThm trans 3039 remove refl 3044 def 1872 ref appThm eqMp sym 123 ref 2638 remove appThm 3045 def 23 ref 1939 ref appThm 1882 remove appThm 1931 remove 1285 ref subst trans appThm 1940 ref trans sym 32 ref eqMp eqMp eqMp nil 1884 ref 121 ref 3034 ref cons nil cons 3046 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 1888 ref 3035 remove cons nil cons cons 3047 def 100 ref subst 3047 remove 157 ref subst 3041 remove "_556" 2 ref var 3048 def 27 ref 27 ref 3048 remove varTerm 3049 def appTerm 87 ref appTerm appTerm 10 ref 901 ref 3049 ref appTerm 1911 ref appTerm appTerm 901 ref 820 ref 3049 remove appTerm appTerm 87 ref appTerm appTerm appTerm absTerm 30 ref appTerm betaConv appThm 3042 remove 27 ref 2643 remove appTerm 3050 def 10 ref 1876 ref 1911 ref appTerm appTerm 1894 remove appTerm appTerm refl appThm trans 3044 remove 1895 ref appThm eqMp sym 123 ref 2644 remove appThm 3051 def 23 ref 1932 remove appThm 1904 remove appThm 1938 ref trans appThm 1905 ref trans sym 32 ref eqMp eqMp eqMp nil 1906 ref 3046 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1908 ref nil 1906 ref 1909 ref 911 ref 3034 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 3052 def subst absThm appThm absThm appThm 179 ref 187 ref 123 ref 179 ref 183 ref 23 ref 183 ref 901 ref 2919 remove appTerm 820 ref 289 ref appTerm 3053 def appTerm absTerm 3054 def 194 ref appTerm betaConv 3055 def appThm 3030 ref 194 ref appTerm betaConv 3056 def appThm absThm appThm appThm 23 ref 179 ref 183 ref 3055 remove absThm appThm appThm 179 ref 183 ref 3056 remove absThm appThm appThm appThm nil 287 ref 3054 ref nil cons cons 1996 ref 3030 remove nil cons cons nil cons cons nil cons cons 221 ref 1459 ref subst 3057 def subst eqMp absThm appThm 123 ref 179 ref 187 ref 23 ref 187 ref 178 ref 3054 remove appTerm absTerm 3058 def 193 ref appTerm betaConv 3059 def appThm 3031 ref 193 ref appTerm betaConv 3060 def appThm absThm appThm appThm 23 ref 179 ref 187 ref 3059 remove absThm appThm appThm 179 ref 187 ref 3060 remove absThm appThm appThm appThm nil 287 ref 3058 ref nil cons 3061 def cons 1996 ref 3031 ref nil cons 3062 def cons nil cons cons nil cons cons 3057 ref subst eqMp trans trans 2920 remove assume eqMp 3063 def nil 119 ref 178 ref 3058 ref appTerm nil cons 3064 def cons 121 ref 178 ref 3031 remove appTerm nil cons 3065 def cons nil cons cons nil cons cons 3066 def 581 ref subst proveHyp nil 83 ref 3065 remove cons 84 ref 3032 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3062 remove cons 180 ref 3020 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 3028 ref appTerm nil cons cons 84 ref 3029 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3028 remove nil cons cons 180 ref 3022 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 1965 ref 3014 remove cons nil cons cons 3067 def 144 ref subst proveHyp nil "_14556" 1 ref var 3068 def 207 ref cons nil cons nil cons cons nil 836 ref 820 ref 22 ref 3068 remove varTerm 3069 def appTerm 194 ref appTerm 3070 def appTerm nil cons 3071 def cons 838 ref 291 ref 197 ref 3069 ref appTerm appTerm 3072 def nil cons 3073 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 3070 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 3072 remove refl appThm trans nil 84 ref 3073 remove cons 83 ref 3071 remove cons nil cons cons nil cons cons 2097 ref subst 187 ref 901 ref 3053 ref appTerm 3074 def 2898 remove appTerm absTerm 3075 def 3069 ref appTerm 3076 def betaConv 179 ref 187 ref 3067 remove 1910 ref subst 3077 def absThm appThm 2901 ref assume eqMp nil 83 ref 178 ref 3075 ref appTerm nil cons cons 84 ref 3076 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3075 remove nil cons cons 180 ref 3069 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 3013 ref cons 3078 def 1032 ref cons nil cons cons 3079 def 144 ref subst proveHyp nil 3078 remove nil cons nil cons cons 2222 ref subst 3015 remove 3016 remove 581 ref subst proveHyp eqMp eqMp 3080 def eqMp nil 119 ref 3009 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 2098 remove nil cons 3081 def cons 1032 ref cons nil cons cons 3082 def 100 ref subst 3082 remove 157 ref subst 3080 remove eqMp nil 119 ref 3081 remove cons 3083 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 2105 remove 84 ref 3009 ref cons nil cons cons nil cons cons 1910 ref subst 3084 def 2902 remove assume eqMp nil 3083 remove 121 ref 3009 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp 2963 ref deductAntisym eqMp eqMp eqMp 2964 ref deductAntisym eqMp eqMp nil 119 ref 2979 remove cons 3085 def 2966 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 2974 remove cons 3086 def 121 ref 3006 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 2967 ref 121 ref 3004 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 2968 ref 121 ref 3002 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 178 ref 2992 ref appTerm nil cons cons 84 ref 2993 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2992 remove nil cons cons 208 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2991 remove nil cons cons 84 ref 2990 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 300 ref 301 ref 2989 remove nil cons cons 304 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2988 remove nil cons cons 84 ref 2987 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2986 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 3085 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 3086 remove 121 ref 2976 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 83 ref 10 ref 2912 remove appTerm 2973 remove appTerm nil cons cons 2910 remove cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 2903 ref 621 ref appTerm betaConv appThm 179 ref 187 ref 182 ref 2903 ref 193 ref appTerm betaConv 3087 def appThm 2903 ref 198 ref appTerm betaConv appThm absThm appThm appThm appThm 179 ref 187 ref 3087 remove absThm appThm appThm nil 287 ref 2903 remove nil cons cons nil cons nil cons cons 697 ref subst eqMp eqMp eqMp nil 2967 remove 121 ref 2909 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 2930 remove 2904 ref appTerm nil cons cons 84 ref 68 ref 2904 ref appTerm 3088 def 2901 remove appTerm nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 83 ref 2909 ref cons 3089 def 84 ref 2907 ref cons nil cons 3090 def cons nil cons cons 3091 def 100 ref subst 3091 remove 157 ref subst nil 83 ref 68 ref 1782 ref 194 ref appTerm 3092 def appTerm 291 ref 645 ref appTerm 3093 def appTerm 3094 def nil cons cons 3095 def nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 3094 ref appTerm 3096 def nil cons 3097 def cons 3098 def 1032 ref cons nil cons cons 3099 def 100 ref subst 3099 remove 157 ref subst 2923 ref 2925 ref nil 3098 ref 2927 ref cons nil cons cons 144 ref subst nil 3089 ref 84 ref 68 ref 3096 ref appTerm 3100 def 2926 ref appTerm 3101 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 2897 ref 84 ref 3088 ref 3101 remove appTerm 3102 def nil cons cons nil cons cons nil cons cons 144 ref subst 183 ref 2932 ref 3102 remove appTerm absTerm 3103 def 194 ref appTerm 3104 def betaConv 287 ref 178 ref 3103 ref appTerm 3105 def absTerm 3106 def 291 ref appTerm 3107 def betaConv 286 ref 287 ref 179 ref 183 ref 2938 ref 3088 ref refl 3108 def 3100 ref refl 2941 ref appThm appThm appThm absThm appThm absThm appThm sym nil 301 ref 287 ref 178 ref 183 ref 2932 ref 3088 ref 3100 remove 2943 ref appTerm 3109 def appTerm 3110 def appTerm 3111 def absTerm 3112 def appTerm 3113 def absTerm nil cons cons nil cons nil cons cons 2949 ref subst 287 ref nil 24 ref 3113 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 3112 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 3111 remove nil cons cons nil cons nil cons cons 33 ref subst nil 2897 ref 84 ref 3110 remove nil cons 3114 def cons nil cons cons nil cons cons 3115 def 100 ref subst 3115 remove 157 ref subst nil 3089 ref 84 ref 3109 remove nil cons 3116 def cons nil cons cons nil cons cons 3117 def 100 ref subst 3117 remove 157 ref subst nil 3098 remove 2955 ref cons nil cons cons 3118 def 100 ref subst 3118 remove 157 ref subst 2959 ref 2960 ref 2940 ref 2961 ref 2962 ref nil 83 ref 3092 remove nil cons 3119 def cons 3120 def 84 ref 3093 ref nil cons 3121 def cons nil cons 3122 def cons nil cons cons 1988 ref subst 3096 remove assume eqMp 3123 def nil 119 ref 3119 remove cons 121 ref 820 ref 3093 remove appTerm nil cons cons nil cons cons nil cons cons 3124 def 135 ref subst proveHyp nil 3120 remove 84 ref 22 ref 645 ref appTerm 235 ref appTerm nil cons 3125 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14565" 1 ref var 3126 def 209 ref cons "_14564" 1 ref var 3127 def 622 ref cons nil cons cons nil cons cons nil 836 ref 820 ref 22 ref 3127 remove varTerm 3128 def appTerm 3129 def 3126 remove varTerm 3130 def appTerm 3131 def appTerm nil cons cons 838 ref 22 ref 197 ref 3128 ref appTerm appTerm 3132 def 197 ref 3130 ref appTerm appTerm 3133 def nil cons cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 3131 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 3133 remove refl appThm trans 183 ref 901 ref 3132 remove 235 ref appTerm appTerm 820 ref 3129 remove 194 ref appTerm appTerm appTerm absTerm 3134 def 3130 ref appTerm 3135 def betaConv 3058 ref 3128 ref appTerm 3136 def betaConv 3063 remove 3066 remove 135 ref subst proveHyp 3137 def nil 83 ref 3064 remove cons 3138 def 84 ref 3136 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3061 remove cons 3139 def 180 ref 3128 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 3134 ref appTerm nil cons cons 84 ref 3135 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3134 remove nil cons cons 180 ref 3130 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp nil 83 ref 3125 remove cons 3122 remove cons nil cons cons 144 ref subst proveHyp nil "_14562" 1 ref var 3140 def 645 remove nil cons cons nil cons nil cons cons nil 836 ref 820 ref 22 ref 3140 remove varTerm 3141 def appTerm 235 ref appTerm 3142 def appTerm nil cons 3143 def cons 838 ref 291 ref 3141 ref appTerm 3144 def nil cons 3145 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 3142 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 3144 remove refl appThm trans nil 84 ref 3145 remove cons 83 ref 3143 remove cons nil cons cons nil cons cons 2097 ref subst 187 ref 2099 remove 292 ref appTerm absTerm 3146 def 3141 ref appTerm 3147 def betaConv 179 ref 187 ref 3084 remove absThm appThm 2904 remove assume eqMp 3148 def nil 83 ref 178 ref 3146 ref appTerm nil cons cons 3149 def 84 ref 3147 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3146 ref nil cons cons 3150 def 180 ref 3141 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 3121 remove cons 3151 def 1032 ref cons nil cons cons 144 ref subst proveHyp nil 3151 remove nil cons nil cons cons 2222 ref subst 3123 remove 3124 remove 581 ref subst proveHyp eqMp eqMp eqMp 2963 ref deductAntisym eqMp eqMp eqMp 2964 ref deductAntisym eqMp eqMp nil 119 ref 3097 remove cons 3152 def 2966 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 2909 remove cons 3153 def 121 ref 3116 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 2968 ref 121 ref 3114 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 285 ref 3106 ref appTerm nil cons cons 84 ref 3107 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 300 ref 301 ref 3106 remove nil cons cons 304 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3105 remove nil cons cons 84 ref 3104 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3103 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 3152 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 3095 remove 84 ref 178 ref 187 ref 68 ref 2899 ref appTerm 3154 def 68 ref 2918 remove 194 ref appTerm 3155 def appTerm 291 ref 197 ref 198 ref appTerm 3156 def appTerm 3157 def appTerm 3158 def appTerm 3159 def absTerm 3160 def appTerm 3161 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 206 ref 3160 remove nil cons cons nil cons nil cons cons 223 ref subst 187 ref nil 24 ref 3159 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 2899 ref nil cons 3162 def cons 3163 def 84 ref 3158 ref nil cons 3164 def cons nil cons cons nil cons cons 3165 def 100 ref subst 3165 remove 157 ref subst nil 83 ref 3164 ref cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 3158 remove appTerm 3166 def nil cons 3167 def cons 3168 def 1032 ref cons nil cons cons 3169 def 100 ref subst 3169 remove 157 ref subst 2923 remove 2925 remove nil 3168 ref 2927 remove cons nil cons cons 144 ref subst nil 3163 ref 84 ref 68 ref 3166 ref appTerm 3170 def 2926 remove appTerm 3171 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 3089 ref 84 ref 3154 ref 3171 remove appTerm 3172 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 2897 ref 84 ref 3088 ref 3172 remove appTerm 3173 def nil cons cons nil cons cons nil cons cons 144 ref subst 183 ref 2932 ref 3173 remove appTerm absTerm 3174 def 194 ref appTerm 3175 def betaConv 287 ref 178 ref 3174 ref appTerm 3176 def absTerm 3177 def 291 ref appTerm 3178 def betaConv 187 ref 285 ref 3177 ref appTerm 3179 def absTerm 3180 def 193 ref appTerm 3181 def betaConv 179 ref 187 ref 286 remove 287 ref 179 ref 183 ref 2938 remove 3108 remove 3154 ref refl 3170 ref refl 2941 remove appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm sym nil 206 ref 187 ref 285 ref 287 ref 178 ref 183 ref 2932 remove 3088 remove 3154 remove 3170 remove 2943 remove appTerm 3182 def appTerm 3183 def appTerm 3184 def appTerm 3185 def absTerm 3186 def appTerm 3187 def absTerm 3188 def appTerm 3189 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 187 ref nil 24 ref 3189 remove nil cons cons nil cons nil cons cons 33 ref subst nil 301 ref 3188 remove nil cons cons nil cons nil cons cons 2949 remove subst 287 ref nil 24 ref 3187 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 3186 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 3185 remove nil cons cons nil cons nil cons cons 33 ref subst nil 2897 remove 84 ref 3184 remove nil cons 3190 def cons nil cons cons nil cons cons 3191 def 100 ref subst 3191 remove 157 ref subst nil 3089 remove 84 ref 3183 remove nil cons 3192 def cons nil cons cons nil cons cons 3193 def 100 ref subst 3193 remove 157 ref subst nil 3163 remove 84 ref 3182 remove nil cons 3194 def cons nil cons cons nil cons cons 3195 def 100 ref subst 3195 remove 157 ref subst nil 3168 remove 2955 remove cons nil cons cons 3196 def 100 ref subst 3196 remove 157 ref subst 2959 remove 2960 remove 2940 remove 2961 remove 2962 remove 3079 ref 100 ref subst 3079 remove 157 ref subst nil 83 ref 3155 remove nil cons 3197 def cons 3198 def 84 ref 3157 ref nil cons 3199 def cons nil cons 3200 def cons nil cons cons 1988 ref subst 3166 remove assume eqMp 3201 def nil 119 ref 3197 remove cons 121 ref 820 ref 3157 remove appTerm nil cons cons nil cons cons nil cons cons 3202 def 135 ref subst proveHyp nil 3198 remove 84 ref 22 ref 3156 ref appTerm 235 ref appTerm nil cons 3203 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14577" 1 ref var 3204 def 209 ref cons "_14576" 1 ref var 3205 def 198 ref nil cons cons nil cons cons nil cons cons nil 836 ref 820 ref 22 ref 3205 remove varTerm 3206 def appTerm 3207 def 3204 remove varTerm 3208 def appTerm 3209 def appTerm nil cons cons 838 ref 22 ref 197 ref 3206 ref appTerm appTerm 3210 def 197 ref 3208 ref appTerm appTerm 3211 def nil cons cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 3209 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 3211 remove refl appThm trans 183 ref 901 ref 3210 remove 235 ref appTerm appTerm 820 ref 3207 remove 194 ref appTerm appTerm appTerm absTerm 3212 def 3208 ref appTerm 3213 def betaConv 3058 remove 3206 ref appTerm 3214 def betaConv 3137 remove nil 3138 remove 84 ref 3214 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 3139 remove 180 ref 3206 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 3212 ref appTerm nil cons cons 84 ref 3213 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3212 remove nil cons cons 180 ref 3208 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp nil 83 ref 3203 remove cons 3200 remove cons nil cons cons 144 ref subst proveHyp nil "_14574" 1 ref var 3215 def 3156 remove nil cons cons nil cons nil cons cons nil 836 ref 820 ref 22 ref 3215 remove varTerm 3216 def appTerm 235 ref appTerm 3217 def appTerm nil cons 3218 def cons 838 ref 291 remove 3216 ref appTerm 3219 def nil cons 3220 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 3217 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 3219 remove refl appThm trans nil 84 ref 3220 remove cons 83 ref 3218 remove cons nil cons cons nil cons cons 2097 ref subst 3146 remove 3216 ref appTerm 3221 def betaConv 3148 remove nil 3149 remove 84 ref 3221 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 3150 remove 180 ref 3216 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 3199 remove cons 3222 def 1032 ref cons nil cons cons 144 ref subst proveHyp nil 3222 remove nil cons nil cons cons 2222 ref subst 3201 remove 3202 remove 581 ref subst proveHyp eqMp eqMp 3223 def eqMp nil 119 ref 3013 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 3053 ref nil cons 3224 def cons 1032 ref cons nil cons cons 3225 def 100 ref subst 3225 remove 157 ref subst 3223 remove eqMp nil 119 ref 3224 remove cons 3226 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp 3077 remove 2899 remove assume eqMp nil 3226 remove 121 ref 3013 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp 2963 remove deductAntisym eqMp eqMp eqMp 2964 remove deductAntisym eqMp eqMp nil 119 ref 3167 remove cons 3227 def 2966 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 3162 remove cons 3228 def 121 ref 3194 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 3153 ref 121 ref 3192 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 2968 ref 121 ref 3190 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 178 ref 3180 ref appTerm nil cons cons 84 ref 3181 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3180 remove nil cons cons 208 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3179 remove nil cons cons 84 ref 3178 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 300 ref 301 ref 3177 remove nil cons cons 304 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3176 remove nil cons cons 84 ref 3175 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3174 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 3227 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 3228 remove 121 ref 3164 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 83 ref 10 ref 3094 remove appTerm 3161 remove appTerm nil cons cons 3090 remove cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 2900 ref 621 ref appTerm betaConv appThm 179 ref 187 ref 182 ref 2900 ref 193 ref appTerm betaConv 3229 def appThm 2900 ref 198 remove appTerm betaConv appThm absThm appThm appThm appThm 179 ref 187 ref 3229 remove absThm appThm appThm nil 287 ref 2900 remove nil cons cons nil cons nil cons cons 697 ref subst eqMp eqMp eqMp nil 3153 remove 121 ref 2907 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 2968 remove 121 ref 2905 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp subst eqMp eqMp appThm appThm absThm appThm 932 ref 1743 remove 23 ref 932 ref 2585 remove appThm 897 ref trans appThm 1747 remove appThm 1748 remove 1927 ref subst trans appThm nil 24 ref 1632 remove cons nil cons nil cons cons 24 ref 27 ref 1281 remove 841 ref appTerm appTerm 841 ref appTerm absTerm 3230 def 28 ref appTerm 3231 def betaConv nil 311 ref 3230 ref appTerm 3232 def axiom nil 83 ref 3232 remove nil cons cons 84 ref 3231 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3230 remove nil cons cons 317 ref cons nil cons cons 173 ref subst eqMp eqMp subst trans appThm 876 ref trans sym 32 ref eqMp nil 83 ref 820 ref 1756 remove appTerm nil cons cons 84 ref 27 ref 583 ref 183 ref 1762 remove absTerm appTerm appTerm 1504 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 932 ref "_14642" 1 ref var 3233 def 10 ref 759 ref 1469 remove 3233 remove varTerm 3234 def appTerm 3235 def appTerm appTerm 10 ref 820 ref 163 ref 3235 remove appTerm appTerm appTerm 178 ref 187 ref 68 ref 288 ref 3234 remove appTerm appTerm 1498 remove appTerm absTerm appTerm appTerm appTerm absTerm 3236 def 621 ref appTerm betaConv appThm appThm 123 ref 1345 ref 183 ref 3236 ref 235 ref appTerm betaConv absThm appThm appThm 1636 remove appThm appThm nil 287 ref 3236 remove nil cons cons nil cons nil cons cons 2752 remove subst eqMp eqMp trans absThm appThm appThm eqMp eqMp eqMp eqMp nil 2243 ref 121 ref 2888 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 1595 remove 2887 remove appTerm nil cons cons 84 ref 1598 remove 2493 ref 2574 remove appTerm 3237 def appTerm nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 2499 ref 84 ref 3237 remove nil cons 3238 def cons nil cons cons nil cons cons 3239 def 100 ref subst 3239 remove 157 ref subst 27 ref "_14624" 2 ref var 3240 def 2493 ref 1398 ref 3240 remove varTerm appTerm 1571 ref appTerm 1509 ref appTerm appTerm absTerm 3241 def 1492 ref appTerm 3242 def appTerm refl 3241 ref 841 ref appTerm betaConv appThm 123 ref 3242 remove betaConv appThm 2493 ref 1398 remove 841 ref appTerm 1571 remove appTerm 1509 remove appTerm appTerm refl appThm trans 3241 remove refl nil 2499 remove 84 ref 27 ref 1492 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst nil 2243 remove nil cons nil cons cons 1042 ref subst eqMp appThm eqMp sym 2493 remove refl 2893 remove 1592 remove subst appThm nil 2557 remove nil cons cons 1576 ref 638 ref subst 3243 def subst trans sym 32 ref eqMp eqMp eqMp nil 2554 remove 121 ref 3238 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 1025 ref 2558 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1101 ref nil 1025 ref 1102 ref 911 ref 1515 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp 772 ref 773 ref 1404 remove nil cons cons 774 ref 1511 remove nil cons cons nil cons cons nil cons cons 360 ref subst proveHyp proveHyp proveHyp eqMp nil 119 ref 1483 remove cons 121 ref 1413 remove cons nil cons 3244 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 1467 remove cons 3244 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1163 ref 1171 ref 68 ref 1463 ref 1171 ref varTerm 3245 def appTerm appTerm 1405 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 1431 ref 1463 ref appTerm appTerm 1405 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1169 ref 1170 ref 1463 remove nil cons cons 3244 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 254 ref 1410 remove appTerm thm 801 ref refl 3246 def 711 ref 1078 ref 1004 ref 1078 ref "b" 45 ref var 3247 def 123 ref 1078 ref 255 ref 182 ref nil 255 ref 1152 remove cons 767 ref cons nil cons cons 804 ref subst appThm nil 255 ref 3247 ref varTerm 3248 def nil cons 3249 def cons 767 ref cons nil cons cons 804 remove subst appThm absThm appThm appThm "Number.Natural.<=" const 6 ref constTerm 3250 def 712 ref 1005 ref appTerm 3251 def appTerm 712 ref 3248 ref appTerm 3252 def appTerm 3253 def refl 3254 def appThm absThm appThm absThm appThm absThm appThm sym nil 83 ref 801 ref 711 ref 63 ref 1004 ref 63 ref 3247 ref 27 ref 63 ref 255 ref 68 ref 22 ref 721 ref appTerm 3255 def 3251 ref appTerm 3256 def appTerm 3255 remove 3252 ref appTerm 3257 def appTerm absTerm 3258 def appTerm 3259 def appTerm 3253 ref appTerm absTerm 3260 def appTerm absTerm 3261 def appTerm absTerm 3262 def appTerm 3263 def nil cons cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 3263 remove appTerm 3264 def nil cons 3265 def cons 3266 def 1032 ref cons nil cons cons 3267 def 100 ref subst 3267 remove 157 ref subst nil 178 ref 187 ref 178 ref 183 ref 27 ref 820 ref 3250 ref 193 ref appTerm 194 ref appTerm 3268 def appTerm 3269 def appTerm 234 ref 193 ref appTerm 3270 def appTerm absTerm appTerm absTerm appTerm 3271 def axiom nil 83 ref 3271 ref nil cons 3272 def cons 1032 ref cons nil cons cons 3273 def 144 ref subst proveHyp nil 178 ref 187 ref 178 ref 183 ref 178 ref 464 ref 68 ref 465 ref 3250 ref 194 ref appTerm 466 ref appTerm 3274 def appTerm 3275 def appTerm 467 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm 3276 def axiom nil 83 ref 3276 ref nil cons 3277 def cons 3278 def 84 ref 68 ref 3271 ref appTerm 841 ref appTerm 3279 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 178 ref 183 ref 820 ref 234 ref 194 ref appTerm appTerm absTerm 3280 def appTerm 3281 def axiom nil 83 ref 3281 ref nil cons 3282 def cons 3283 def 84 ref 68 ref 3276 ref appTerm 3284 def 3279 remove appTerm 3285 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 3266 ref 84 ref 68 ref 3281 remove appTerm 3286 def 3285 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst 68 ref 3264 ref appTerm refl 3286 ref refl 3284 ref refl nil 24 ref 3272 ref cons nil cons nil cons cons 1386 ref subst 3287 def appThm appThm appThm sym nil 3266 remove 84 ref 3286 remove 3284 remove 820 ref 3271 ref appTerm 3288 def appTerm 3289 def appTerm nil cons 3290 def cons nil cons cons nil cons cons 3291 def 100 ref subst 3291 remove 157 ref subst nil 3283 ref 84 ref 3289 remove nil cons 3292 def cons nil cons cons nil cons cons 3293 def 100 ref subst 3293 remove 157 ref subst nil 3278 remove 84 ref 3288 remove nil cons 3294 def cons nil cons cons nil cons cons 3295 def 100 ref subst 3295 remove 157 ref subst 3287 remove 3273 ref 100 ref subst 3273 remove 157 ref subst nil 710 ref 3262 ref nil cons cons nil cons nil cons cons 718 ref 1962 ref subst 3296 def subst 330 ref 800 remove constTerm 3297 def refl 3298 def 711 ref 932 ref 3262 remove 712 ref appTerm betaConv appThm nil 150 ref 3261 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 1004 ref 932 ref 3261 remove 1005 ref appTerm betaConv appThm nil 150 ref 3260 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 3247 ref 932 ref 3260 remove 3248 ref appTerm betaConv appThm nil 83 ref 3259 remove nil cons cons 84 ref 3253 ref nil cons 3299 def cons nil cons 3300 def cons nil cons cons 2645 ref subst 1874 ref 23 ref 1078 ref 255 ref nil 83 ref 3256 ref nil cons 3301 def cons 3302 def 84 ref 3257 ref nil cons 3303 def cons nil cons 3304 def cons nil cons cons 3305 def 1910 ref subst absThm appThm appThm 820 ref 3253 ref appTerm 3306 def refl appThm appThm 23 ref nil 150 ref 3258 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 255 ref 932 ref 3258 remove 256 ref appTerm betaConv appThm 3305 remove 1988 ref subst trans absThm appThm trans appThm 3254 ref appThm appThm trans trans absThm appThm trans trans absThm appThm trans trans absThm appThm trans 3298 ref 711 ref 1022 ref 1004 ref 123 ref 1022 ref 3247 ref 1874 ref 3247 ref 10 ref 63 ref 255 ref 901 ref 820 ref 3256 ref appTerm appTerm 3257 ref appTerm absTerm 3307 def appTerm 3308 def appTerm 3306 ref appTerm 3309 def absTerm 3310 def 3248 ref appTerm betaConv 3311 def appThm 3312 def 3247 ref 10 ref 331 ref 255 ref 10 ref 3256 remove appTerm 3313 def 820 ref 3257 remove appTerm 3314 def appTerm 3315 def absTerm 3316 def appTerm appTerm 3253 ref appTerm absTerm 3317 def 3248 ref appTerm betaConv 3318 def appThm absThm appThm appThm 1874 ref 1022 ref 3247 ref 3311 remove absThm appThm appThm 3319 def 1022 ref 3247 ref 3318 remove absThm appThm appThm appThm nil 161 ref 3310 ref nil cons cons 3320 def 1446 ref 3317 ref nil cons cons nil cons cons nil cons cons 1446 ref 27 ref 2673 remove appTerm 2672 remove appTerm absTerm 3321 def 1447 ref appTerm 3322 def betaConv 161 ref 254 ref 3321 ref appTerm 3323 def absTerm 3324 def 163 ref appTerm 3325 def betaConv nil 254 ref 3324 ref appTerm 3326 def axiom nil 83 ref 3326 remove nil cons cons 84 ref 3325 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 3324 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3323 remove nil cons cons 84 ref 3322 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 3321 remove nil cons cons 1458 ref cons nil cons cons 173 ref subst eqMp eqMp 3327 def subst eqMp absThm appThm 123 ref 1022 ref 1004 ref 1874 ref 1004 ref 331 ref 3310 remove appTerm absTerm 3328 def 1005 ref appTerm betaConv 3329 def appThm 3330 def 1004 ref 331 ref 3317 remove appTerm absTerm 3331 def 1005 ref appTerm betaConv 3332 def appThm absThm appThm appThm 1874 ref 1022 ref 1004 ref 3329 remove absThm appThm appThm 3333 def 1022 ref 1004 ref 3332 remove absThm appThm appThm appThm nil 161 ref 3328 ref nil cons cons 3334 def 1446 ref 3331 ref nil cons cons nil cons cons nil cons cons 3327 ref subst eqMp trans absThm appThm 123 ref 3298 ref 711 ref 1874 ref 711 ref 331 ref 3328 remove appTerm absTerm 3335 def 712 ref appTerm betaConv 3336 def appThm 3337 def 711 ref 331 ref 3331 remove appTerm absTerm 3338 def 712 ref appTerm betaConv 3339 def appThm absThm appThm appThm 1874 ref 3298 ref 711 ref 3336 remove absThm appThm appThm 3340 def 3298 ref 711 ref 3339 remove absThm appThm appThm appThm nil "p" 709 ref var 3341 def 3335 ref nil cons cons 3342 def "q" 709 ref var 3343 def 3338 remove nil cons cons nil cons cons nil cons cons 718 ref 3327 remove subst subst eqMp trans 901 ref 3297 ref 3335 remove appTerm appTerm refl 3298 ref 711 ref 1022 ref 1004 ref 1022 ref 3247 ref 123 ref 23 ref 1022 ref 255 ref 3316 ref 256 ref appTerm betaConv 3344 def absThm appThm appThm 3254 ref appThm appThm 1022 ref 255 ref 23 ref 3344 remove appThm 3254 remove appThm absThm appThm appThm nil 161 ref 3316 remove nil cons cons 3300 ref cons nil cons cons 2659 ref subst eqMp absThm appThm absThm appThm absThm appThm appThm 123 ref 3340 remove 3298 ref 711 ref 711 ref 331 ref 1004 ref 331 ref 3247 ref 331 ref 255 ref 10 ref 3315 ref appTerm 3253 ref appTerm 3345 def absTerm 3346 def appTerm absTerm 3347 def appTerm absTerm 3348 def appTerm absTerm 3349 def 712 ref appTerm betaConv 3350 def absThm appThm appThm appThm 3298 ref 711 ref 3337 remove 3350 remove appThm absThm appThm appThm nil 3342 remove 3343 ref 3349 remove nil cons cons nil cons cons nil cons cons 718 ref 2680 ref subst 3351 def subst eqMp 3298 ref 711 ref 123 ref 3333 remove 1022 ref 1004 ref 3348 ref 1005 ref appTerm betaConv 3352 def absThm appThm appThm appThm 1022 ref 1004 ref 3330 remove 3352 remove appThm absThm appThm appThm nil 3334 remove 1446 ref 3348 remove nil cons cons nil cons cons nil cons cons 2680 ref subst eqMp 1022 ref 1004 ref 123 ref 3319 remove 1022 ref 3247 ref 3347 ref 3248 ref appTerm betaConv 3353 def absThm appThm appThm appThm 1022 ref 3247 ref 3312 remove 3353 remove appThm absThm appThm appThm nil 3320 remove 1446 ref 3347 remove nil cons cons nil cons cons nil cons cons 2680 ref subst eqMp 1022 ref 3247 ref 123 ref 901 ref 3309 ref appTerm 3354 def refl 3355 def 1022 ref 255 ref 3346 ref 256 ref appTerm betaConv 3356 def absThm appThm appThm appThm 1022 ref 255 ref 3355 remove 3356 remove appThm absThm appThm appThm nil 1446 ref 3346 remove nil cons cons 83 ref 3309 remove nil cons 3357 def cons 3358 def nil cons cons nil cons cons 2006 ref subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans trans trans trans 3264 remove assume eqMp nil 83 ref 3297 ref 711 ref 331 ref 1004 ref 331 ref 3247 ref 331 ref 255 ref 3354 remove 3345 ref appTerm 3359 def absTerm 3360 def appTerm 3361 def absTerm 3362 def appTerm 3363 def absTerm 3364 def appTerm 3365 def absTerm 3366 def appTerm 3367 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 710 ref 711 ref 68 ref 3366 ref 712 ref appTerm 3368 def appTerm 841 ref appTerm 3369 def absTerm nil cons cons nil cons nil cons cons 719 ref subst 711 ref nil 24 ref 3369 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3368 ref nil cons 3370 def cons 1032 ref cons nil cons cons 3371 def 100 ref subst 3371 remove 157 ref subst 3368 ref betaConv 3368 remove assume eqMp nil 83 ref 3365 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 150 ref 1004 ref 68 ref 3364 ref 1005 ref appTerm 3372 def appTerm 841 ref appTerm 3373 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 1004 ref nil 24 ref 3373 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3372 ref nil cons 3374 def cons 1032 ref cons nil cons cons 3375 def 100 ref subst 3375 remove 157 ref subst 3372 ref betaConv 3372 remove assume eqMp nil 83 ref 3363 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 150 ref 3247 ref 68 ref 3362 ref 3248 ref appTerm 3376 def appTerm 841 ref appTerm 3377 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 3247 ref nil 24 ref 3377 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3376 ref nil cons 3378 def cons 1032 ref cons nil cons cons 3379 def 100 ref subst 3379 remove 157 ref subst 3376 ref betaConv 3376 remove assume eqMp nil 83 ref 3361 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 150 ref 255 ref 68 ref 3360 ref 256 ref appTerm 3380 def appTerm 841 ref appTerm 3381 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 255 ref nil 24 ref 3381 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3380 ref nil cons 3382 def cons 1032 ref cons nil cons cons 3383 def 100 ref subst 3383 remove 157 ref subst 3380 ref betaConv 3380 remove assume eqMp nil 83 ref 3359 remove nil cons 3384 def cons 1032 ref cons nil cons cons 3385 def 144 ref subst proveHyp 3385 ref 100 ref subst 3385 remove 157 ref subst nil 83 ref 3345 remove nil cons 3386 def cons 1032 ref cons nil cons cons 3387 def 100 ref subst 3387 remove 157 ref subst nil 119 ref 3315 remove nil cons cons 121 ref 3299 ref cons nil cons cons nil cons cons 3388 def 135 ref subst 3389 def nil 119 ref 3301 remove cons 121 ref 3314 remove nil cons cons nil cons cons nil cons cons 3390 def 135 ref subst proveHyp nil 3302 remove 3300 ref cons nil cons cons 157 ref subst proveHyp 3388 remove 581 ref subst eqMp nil 83 ref 3313 remove 3253 ref appTerm nil cons cons 3304 remove cons nil cons cons 144 ref subst proveHyp nil "_14303" 1 ref var 3391 def 3252 ref nil cons 3392 def cons "_14302" 1 ref var 3393 def 3251 ref nil cons 3394 def cons "_14301" 1 ref var 3395 def 721 remove nil cons cons nil cons cons cons nil cons cons nil 836 ref 901 ref 820 ref 22 ref 3395 remove varTerm 3396 def appTerm 3397 def 3393 remove varTerm 3398 def appTerm 3399 def appTerm 3400 def appTerm 3401 def 820 ref 3250 ref 3398 ref appTerm 3402 def 3391 remove varTerm 3403 def appTerm 3404 def appTerm 3405 def appTerm nil cons cons 838 ref 3397 ref 3403 ref appTerm 3406 def nil cons 3407 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 3405 remove nil cons 3408 def cons 838 ref 3400 remove nil cons 3409 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 3399 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm nil 838 ref 3404 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm trans appThm 3406 remove refl appThm trans 3401 ref refl nil 84 ref 3407 ref cons 3410 def 83 ref 3408 ref cons nil cons cons nil cons cons 2097 ref subst appThm nil 917 ref 3408 ref cons 3410 remove 83 ref 3409 ref cons nil cons cons cons nil cons cons 2174 ref subst trans nil 984 ref 3409 remove cons 983 ref 3408 remove cons 2148 ref 3407 remove cons nil cons cons cons nil cons cons 2165 ref 2151 ref appTerm 3411 def betaConv 2167 ref 987 ref appTerm 3412 def betaConv 2169 ref 986 ref appTerm 3413 def betaConv 2171 remove nil 83 ref 2170 remove nil cons cons 84 ref 3413 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2169 remove nil cons cons 996 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2168 remove nil cons cons 84 ref 3412 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2167 remove nil cons cons 997 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2166 remove nil cons cons 84 ref 3411 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 2165 remove nil cons cons 2172 ref cons nil cons cons 173 ref subst eqMp eqMp 3414 def subst 464 ref 901 ref 3401 remove 820 ref 3402 remove 466 ref appTerm appTerm appTerm appTerm 3397 ref 466 ref appTerm 3415 def appTerm absTerm 3416 def 3403 ref appTerm 3417 def betaConv 183 ref 178 ref 464 ref 901 ref 901 ref 820 ref 3397 remove 194 ref appTerm appTerm appTerm 820 ref 3274 ref appTerm 3418 def appTerm appTerm 3415 remove appTerm absTerm appTerm absTerm 3419 def 3398 ref appTerm 3420 def betaConv 187 ref 178 ref 183 ref 178 ref 464 ref 901 ref 3074 ref 3418 remove appTerm appTerm 467 ref appTerm absTerm appTerm absTerm appTerm absTerm 3421 def 3396 ref appTerm 3422 def betaConv 179 ref 187 ref 179 ref 183 ref 179 ref 464 ref nil 83 ref 3275 remove nil cons cons 84 ref 467 ref nil cons cons nil cons cons nil cons cons 1910 ref subst 1874 ref nil 1965 ref 84 ref 3274 remove nil cons cons nil cons cons nil cons cons 1941 ref subst appThm 467 remove refl appThm trans absThm appThm absThm appThm absThm appThm 3276 remove assume eqMp nil 83 ref 178 ref 3421 ref appTerm nil cons cons 84 ref 3422 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3421 remove nil cons cons 180 ref 3396 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 3419 ref appTerm nil cons cons 84 ref 3420 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3419 remove nil cons cons 180 ref 3398 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 3416 ref appTerm nil cons cons 84 ref 3417 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3416 remove nil cons cons 180 ref 3403 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 3303 remove cons 3423 def 1032 ref cons nil cons cons 144 ref subst proveHyp nil 3423 remove nil cons nil cons cons 2222 ref subst 3389 remove 3390 remove 581 ref subst proveHyp eqMp eqMp eqMp nil 119 ref 3386 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 3358 remove 1032 ref cons nil cons cons 3424 def 100 ref subst 3424 remove 157 ref subst nil "_14291" 1 ref var 3425 def 3392 ref cons nil cons nil cons cons 3280 ref 3425 remove varTerm 3426 def appTerm 3427 def betaConv nil 3283 remove 84 ref 3427 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 3280 remove nil cons cons 180 ref 3426 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst nil 83 ref 820 ref 22 ref 3252 ref appTerm 3428 def 3252 ref appTerm appTerm nil cons cons 84 ref 820 ref 3428 remove 3251 ref appTerm appTerm nil cons 3429 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14299" 45 ref var 3430 def 3249 remove cons nil cons nil cons cons nil 836 ref 22 ref 712 remove 3430 remove varTerm 3431 def appTerm appTerm 3432 def 3252 remove appTerm nil cons cons 838 ref 820 ref 3432 remove 3251 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 2085 ref subst 3307 ref 3431 ref appTerm 3433 def betaConv nil 119 ref 3308 remove nil cons 3434 def cons 121 ref 3306 remove nil cons cons nil cons cons nil cons cons 3435 def 135 ref subst nil 83 ref 3434 remove cons 84 ref 3433 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 3307 remove nil cons cons 64 ref 3431 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp nil 83 ref 3429 remove cons 3300 remove cons nil cons cons 144 ref subst proveHyp nil "_14297" 1 ref var 3436 def 3394 remove cons "_14298" 1 ref var 3437 def 3392 remove cons nil cons cons nil cons cons nil 836 ref 22 ref 3437 remove varTerm 3438 def appTerm 3436 remove varTerm 3439 def appTerm nil cons cons 838 ref 3250 ref 3439 ref appTerm 3440 def 3438 ref appTerm nil cons cons nil cons cons nil cons cons 2085 ref subst 183 ref 901 ref 3440 remove 194 ref appTerm appTerm 234 ref 3439 ref appTerm appTerm absTerm 3441 def 3438 ref appTerm 3442 def betaConv 187 ref 178 ref 183 ref 901 ref 3268 ref appTerm 3270 ref appTerm absTerm 3443 def appTerm absTerm 3444 def 3439 ref appTerm 3445 def betaConv 179 ref 187 ref 179 ref 183 ref nil 83 ref 3269 ref nil cons cons 84 ref 3270 ref nil cons cons nil cons cons nil cons cons 3052 ref subst 23 ref 1874 ref 932 ref 3250 remove refl 2325 ref appThm 1146 ref appThm appThm appThm 932 ref 22 ref refl 3446 def 1146 ref appThm 2325 ref appThm 3447 def appThm appThm appThm 1874 ref nil 83 ref 3268 remove nil cons cons nil cons nil cons cons 1775 ref subst appThm 3447 remove appThm appThm trans absThm appThm absThm appThm 179 ref 187 ref 123 ref 179 ref 183 ref 23 ref 183 ref 901 ref 3269 remove appTerm 820 ref 3270 ref appTerm appTerm absTerm 3448 def 194 ref appTerm betaConv 3449 def appThm 3443 ref 194 ref appTerm betaConv 3450 def appThm absThm appThm appThm 23 ref 179 ref 183 ref 3449 remove absThm appThm appThm 179 ref 183 ref 3450 remove absThm appThm appThm appThm nil 287 ref 3448 ref nil cons cons 1996 ref 3443 remove nil cons cons nil cons cons nil cons cons 3057 ref subst eqMp absThm appThm 123 ref 179 ref 187 ref 23 ref 187 ref 178 ref 3448 remove appTerm absTerm 3451 def 193 ref appTerm betaConv 3452 def appThm 3444 ref 193 ref appTerm betaConv 3453 def appThm absThm appThm appThm 23 ref 179 ref 187 ref 3452 remove absThm appThm appThm 179 ref 187 ref 3453 remove absThm appThm appThm appThm nil 287 ref 3451 ref nil cons cons 1996 ref 3444 ref nil cons 3454 def cons nil cons cons nil cons cons 3057 ref subst eqMp trans trans 3271 remove assume eqMp nil 119 ref 178 ref 3451 remove appTerm nil cons cons 121 ref 178 ref 3444 remove appTerm nil cons 3455 def cons nil cons cons nil cons cons 581 ref subst proveHyp nil 83 ref 3455 remove cons 84 ref 3445 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3454 remove cons 180 ref 3439 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 3441 ref appTerm nil cons cons 84 ref 3442 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3441 remove nil cons cons 180 ref 3438 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp nil 83 ref 3299 remove cons 3456 def 1032 ref cons nil cons cons 144 ref subst proveHyp nil 3456 remove nil cons nil cons cons 2222 ref subst 3435 remove 581 ref subst eqMp eqMp eqMp nil 119 ref 3357 remove cons 3457 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 3457 remove 121 ref 3386 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp eqMp nil 119 ref 3384 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 3382 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 63 ref 64 ref 68 ref 3360 ref 69 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 3361 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 3360 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 3378 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 63 ref 64 ref 68 ref 3362 ref 69 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 3363 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 3362 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 3374 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 63 ref 64 ref 68 ref 3364 ref 69 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 3365 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 3364 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 3370 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 801 ref 803 ref 68 ref 3366 ref 803 ref varTerm 3458 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 3367 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 717 ref 710 ref 3366 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 3272 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 3277 remove cons 121 ref 3294 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 3282 remove cons 121 ref 3292 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 3265 remove cons 3459 def 121 ref 3290 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 3459 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 801 ref 711 remove 63 ref 1004 ref 63 ref 3247 remove 27 ref 63 ref 255 ref 68 ref 713 remove 256 ref appTerm 3460 def 1005 ref appTerm appTerm 3460 remove 3248 remove appTerm appTerm absTerm appTerm appTerm 3253 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil "P" 524 ref var 3461 def "s" 523 ref var 3462 def 27 ref "Set.infinite" const 3463 def 524 ref constTerm 3464 def 3462 ref varTerm 3465 def appTerm 3466 def appTerm 3467 def 824 ref 825 ref 10 ref 178 ref 180 ref 526 ref 826 ref 188 ref appTerm 3468 def appTerm 3465 ref appTerm 3469 def absTerm 3470 def appTerm 3471 def appTerm 178 ref 180 ref 178 ref 181 ref 68 ref 531 ref 3468 ref appTerm 3472 def 826 ref 184 ref appTerm 3473 def appTerm 3474 def appTerm 195 ref 188 ref appTerm 3475 def 184 ref appTerm 3476 def appTerm absTerm 3477 def appTerm absTerm appTerm 3478 def appTerm 3479 def absTerm 3480 def appTerm 3481 def appTerm 3482 def absTerm 3483 def nil cons cons nil cons nil cons cons "A" 528 ref cons 3484 def nil cons 3485 def 43 ref cons 222 ref subst 3486 def subst 3462 ref nil 24 ref 3482 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3466 ref nil cons 3487 def cons 3488 def 84 ref 3481 ref nil cons 3489 def cons nil cons 3490 def cons nil cons cons 3491 def 975 ref subst 3491 ref 100 ref subst 3491 remove 157 ref subst 23 ref 1319 ref refl 3492 def 825 ref 3492 ref "g" 821 ref var 3493 def 179 ref 183 ref 1078 ref 255 ref nil 83 ref 178 ref 558 ref 68 ref 22 ref 561 ref appTerm 3494 def 194 ref appTerm 3495 def appTerm 3496 def 531 ref 826 ref 561 ref appTerm 3497 def appTerm 3493 ref varTerm 3498 def 561 ref appTerm 3499 def appTerm appTerm absTerm 3500 def appTerm 3501 def nil cons 3502 def cons 3503 def 84 ref 27 ref 27 ref 10 ref 526 ref 256 ref appTerm 3465 ref appTerm appTerm 3504 def 178 ref 187 ref 290 ref 820 ref 531 ref 826 ref 193 ref appTerm 3505 def appTerm 3506 def 256 ref appTerm appTerm 3507 def appTerm 3508 def absTerm appTerm appTerm 3509 def appTerm 3504 ref 178 ref 187 ref 290 ref 820 ref 531 ref 3498 ref 193 ref appTerm 3510 def appTerm 3511 def 256 ref appTerm appTerm 3512 def appTerm 3513 def absTerm appTerm appTerm 3514 def appTerm 3515 def appTerm 3516 def 30 ref appTerm 3517 def nil cons 3518 def cons nil cons cons nil cons cons 3519 def 100 ref subst 3519 remove 157 ref subst 123 ref 3504 ref refl 179 ref 187 ref nil 1965 ref 84 ref 27 ref 3507 ref appTerm 3520 def 3512 ref appTerm 3521 def nil cons 3522 def cons nil cons cons nil cons cons 3523 def 100 ref subst 3523 remove 157 ref subst 932 ref 1516 ref nil 1965 ref 84 ref 3506 ref 3510 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst nil 558 ref 207 ref cons nil cons nil cons cons 3500 ref 561 ref appTerm 3524 def betaConv nil 3503 ref 84 ref 3524 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 3500 remove nil cons cons 684 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp appThm 1105 ref appThm appThm eqMp nil 119 ref 1964 ref cons 3525 def 121 ref 3522 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 290 ref 3521 remove appTerm nil cons cons 84 ref 27 ref 3508 remove appTerm 3526 def 3513 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1657 ref 3512 remove nil cons cons nil cons nil cons cons 289 ref refl 3527 def nil 83 ref 582 ref 289 ref appTerm nil cons cons 84 ref 68 ref 290 ref 3520 remove 1660 ref appTerm 3528 def appTerm appTerm 3526 ref 290 ref 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 1964 ref cons nil cons nil cons cons 1657 ref 68 ref 582 remove 1663 ref appTerm appTerm 68 ref 1664 ref 3528 remove appTerm appTerm 3526 remove 1665 ref appTerm appTerm appTerm absTerm 3529 def 1660 ref appTerm 3530 def betaConv 1662 ref 311 ref 3529 ref appTerm 3531 def absTerm 3532 def 1663 ref appTerm 3533 def betaConv nil 84 ref 3507 remove nil cons cons 1965 ref nil cons 3534 def cons nil cons cons 1740 ref subst nil 83 ref 311 ref 3532 ref appTerm nil cons cons 84 ref 3533 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3532 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3531 remove nil cons cons 84 ref 3530 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3529 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp absThm appThm appThm appThm 3514 ref refl appThm nil 315 ref 3514 remove nil cons cons nil cons nil cons cons 805 ref subst trans eqMp nil 119 ref 3502 ref cons 121 ref 3518 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 68 ref 3501 ref appTerm 3535 def 3517 remove appTerm nil cons cons 84 ref 27 ref 3535 ref 3515 ref appTerm 3536 def appTerm 3537 def 3535 ref 30 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1657 ref 305 ref cons nil cons nil cons cons 3538 def 3501 ref refl nil 83 ref 27 ref 3501 ref appTerm 3539 def 3501 remove appTerm nil cons cons 84 ref 68 ref 3535 ref 3516 remove 1660 ref appTerm 3540 def appTerm appTerm 3537 ref 3535 ref 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 3502 ref cons nil cons nil cons cons 1657 ref 68 ref 3539 remove 1663 ref appTerm appTerm 68 ref 1664 ref 3540 remove appTerm appTerm 3537 remove 1665 ref appTerm appTerm appTerm absTerm 3541 def 1660 ref appTerm 3542 def betaConv 1662 ref 311 ref 3541 ref appTerm 3543 def absTerm 3544 def 1663 ref appTerm 3545 def betaConv nil 84 ref 3515 remove nil cons cons 3503 remove nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 3544 ref appTerm nil cons cons 84 ref 3545 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3544 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3543 remove nil cons cons 84 ref 3542 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3541 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp nil 24 ref 3502 remove cons nil cons nil cons cons 1753 ref subst trans absThm appThm 1525 ref trans absThm appThm 306 ref 221 ref 318 ref subst subst 3546 def trans absThm appThm 306 ref 1212 ref 318 ref subst subst 3547 def trans absThm appThm 3547 ref trans appThm 1319 ref 825 ref 178 ref 183 ref 68 ref 178 ref 558 ref 3496 ref 10 ref 526 ref 3497 ref appTerm 3465 ref appTerm appTerm 178 ref 187 ref 68 ref 288 ref 561 ref appTerm appTerm 3548 def 820 ref 3506 ref 3497 ref appTerm appTerm appTerm absTerm appTerm appTerm appTerm absTerm appTerm 3549 def appTerm 331 ref 255 ref 3509 remove absTerm 3550 def appTerm 3551 def appTerm 3552 def absTerm 3553 def appTerm 3554 def absTerm 3555 def appTerm 3556 def refl appThm nil 24 ref 3556 ref nil cons cons nil cons nil cons cons 324 ref subst trans sym nil 1176 ref 3555 remove nil cons cons nil cons nil cons cons 1213 ref subst 825 ref nil 24 ref 3554 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 3553 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 3552 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3549 remove nil cons 3557 def cons 84 ref 3551 ref nil cons 3558 def cons 3559 def nil cons 3560 def cons nil cons cons 3561 def 100 ref subst 3561 remove 157 ref subst "t" 523 ref var 3562 def 68 ref "Set.finite" const 3563 def 524 ref constTerm 3564 def 3562 ref varTerm 3565 def appTerm 3566 def appTerm 3464 ref "Set.difference" const 0 ref 523 ref 0 ref 523 ref 528 ref cons opType nil cons 3567 def cons opType constTerm 3465 ref appTerm 3568 def 3565 ref appTerm 3569 def appTerm 3570 def appTerm 3571 def absTerm 3572 def "Set.image" const 3573 def 0 ref 821 ref 0 ref 491 ref 39 ref opType 3574 def 528 ref cons opType 3575 def nil cons 3576 def cons opType 3577 def constTerm 3578 def 826 ref appTerm 3579 def 493 remove 0 ref 4 ref 3574 ref nil cons 3580 def cons opType constTerm 3581 def "v" 1 ref var 3582 def 583 ref 187 ref 10 ref 195 ref 3582 ref varTerm appTerm 193 ref appTerm appTerm 3583 def 289 ref appTerm absTerm appTerm absTerm appTerm 3584 def appTerm 3585 def appTerm 3586 def betaConv nil 3488 ref 84 ref 60 ref 0 ref 524 ref 3 ref cons opType 3587 def constTerm 3588 def 3572 ref appTerm 3589 def nil cons 3590 def cons nil cons cons nil cons cons 3591 def 144 ref subst 3462 ref 68 ref 3466 ref appTerm 3592 def 3589 remove appTerm 3593 def absTerm 3594 def 3465 ref appTerm 3595 def betaConv 3588 ref refl 3596 def 3462 ref 3596 ref 3562 ref nil 917 ref 3570 ref nil cons cons 84 ref 3566 ref nil cons cons 3488 ref nil cons cons cons nil cons cons 917 ref 27 ref 68 ref 91 ref appTerm 918 ref appTerm 3597 def appTerm 86 ref 925 ref appTerm 3598 def appTerm 3599 def absTerm 3600 def 918 ref appTerm 3601 def betaConv 84 ref 311 ref 3600 ref appTerm 3602 def absTerm 3603 def 87 ref appTerm 3604 def betaConv 83 ref 311 ref 3603 ref appTerm 3605 def absTerm 3606 def 85 ref appTerm 3607 def betaConv 2163 ref 83 ref 2163 ref 84 ref 2163 ref 917 ref 3599 remove assume sym 27 ref 3598 remove appTerm 3597 remove appTerm 3608 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 311 ref 83 ref 311 ref 84 ref 311 ref 917 ref 3608 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 83 ref 311 ref 3606 ref appTerm nil cons cons 84 ref 3607 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3606 remove nil cons cons 1776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3605 remove nil cons cons 84 ref 3604 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3603 remove nil cons cons 1644 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3602 remove nil cons cons 84 ref 3601 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3600 remove nil cons cons 315 ref 2149 ref cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst absThm appThm absThm appThm nil 3588 ref 3462 ref 3588 ref 3562 ref 68 ref 10 ref 3466 ref appTerm 3609 def 3566 ref appTerm appTerm 3570 remove appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 83 ref 3588 ref 3462 ref 3588 ref 3562 ref 3592 ref 3571 ref appTerm absTerm 3610 def appTerm 3611 def absTerm 3612 def appTerm nil cons 3613 def cons 3614 def 84 ref 3588 ref 3594 ref appTerm nil cons 3615 def cons nil cons cons nil cons cons 3616 def 144 ref subst proveHyp 3616 ref 100 ref subst 3616 remove 157 ref subst nil 3461 ref 3594 remove nil cons cons 3617 def nil cons nil cons cons 3486 ref subst 3462 ref nil 24 ref 3593 remove nil cons cons nil cons nil cons cons 33 ref subst 3591 ref 100 ref subst 3591 remove 157 ref subst nil 3461 ref 3572 remove nil cons cons 3618 def nil cons nil cons cons 3486 ref subst 3562 ref nil 24 ref 3571 remove nil cons 3619 def cons nil cons nil cons cons 33 ref subst nil 3488 ref 84 ref 3619 remove cons nil cons cons nil cons cons 144 ref subst 3610 ref 3565 ref appTerm 3620 def betaConv 3612 ref 3465 ref appTerm 3621 def betaConv nil 3614 remove 84 ref 3621 remove nil cons cons nil cons cons nil cons cons 144 ref subst 3485 ref 3461 ref 3612 remove nil cons cons "x" 523 ref var 3622 def 3465 ref nil cons 3623 def cons nil cons 3624 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3611 remove nil cons cons 84 ref 3620 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 3610 remove nil cons cons 3622 ref 3565 ref nil cons cons nil cons 3625 def cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 119 ref 3487 ref cons 3626 def 121 ref 3590 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 119 ref 3613 remove cons 121 ref 3615 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 83 ref 3615 remove cons 84 ref 3595 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3617 remove 3624 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp nil 83 ref 3590 remove cons 84 ref 3586 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3618 remove 3622 ref 3585 ref nil cons 3627 def cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 3564 ref 3585 ref appTerm 3628 def appTerm 3464 ref 3568 remove 3585 remove appTerm 3629 def appTerm 3630 def appTerm 3631 def nil cons cons 3632 def 3560 ref cons nil cons cons 144 ref subst proveHyp nil 83 ref 3630 ref nil cons 3633 def cons 3634 def 84 ref 27 ref 3551 ref appTerm 3635 def 3551 ref appTerm 3636 def nil cons 3637 def cons nil cons cons nil cons cons 3638 def 100 ref subst 3638 remove 157 ref subst 3551 ref refl 3639 def eqMp nil 119 ref 3633 ref cons 3640 def 121 ref 3637 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 68 ref 3630 ref appTerm 3641 def 3636 remove appTerm nil cons cons 84 ref 27 ref 68 ref 3631 ref appTerm 3551 ref appTerm appTerm 3642 def 3641 ref 3551 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1657 ref 3558 ref cons nil cons nil cons cons nil 83 ref 305 ref cons 84 ref 27 ref 3630 ref appTerm 3643 def 3630 ref appTerm 3644 def nil cons 3645 def cons nil cons cons nil cons cons 3646 def 100 ref subst 3646 remove 157 ref subst 3630 ref refl eqMp nil 119 ref 305 ref cons 121 ref 3645 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 1059 ref 3644 remove appTerm nil cons cons 84 ref 27 ref 3631 remove appTerm 3647 def 1059 ref 3630 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1657 ref 3633 ref cons nil cons nil cons cons 183 ref 3563 ref 0 ref 3574 ref 3 ref cons opType 3648 def constTerm 3584 ref appTerm 3649 def absTerm 3650 def 194 ref appTerm 3651 def betaConv nil 178 ref 3650 ref appTerm 3652 def axiom nil 83 ref 3652 remove nil cons cons 84 ref 3651 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 3650 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3649 remove nil cons cons 84 ref 27 ref 3628 ref appTerm 3653 def 30 ref appTerm nil cons 3654 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "s" 3574 ref var 3655 def 3584 remove nil cons cons 3656 def nil cons nil cons cons 40 ref 1115 ref nil cons 3657 def cons 43 ref cons 3658 def nil 83 ref 3564 ref 3465 ref appTerm 3659 def nil cons 3660 def cons 3661 def 84 ref 27 ref 3563 remove 0 ref 491 remove 727 ref opType 3662 def 3 ref cons opType 3663 def constTerm 3573 ref 0 ref 728 ref 0 ref 523 ref 3662 remove nil cons 3664 def cons opType nil cons cons opType constTerm 735 ref appTerm 3465 ref appTerm 3665 def appTerm 3666 def appTerm 30 ref appTerm nil cons 3667 def cons nil cons cons nil cons cons 3668 def 100 ref subst 3668 remove 157 ref subst nil 24 ref 3666 ref nil cons 3669 def cons nil cons nil cons cons 33 ref subst nil 3661 remove 84 ref 3669 remove cons nil cons cons nil cons cons 144 ref subst 3462 ref 68 ref 3659 ref appTerm 3666 remove appTerm absTerm 3670 def 3465 ref appTerm 3671 def betaConv 734 ref 3588 ref 3670 ref appTerm 3672 def absTerm 3673 def 735 ref appTerm 3674 def betaConv nil 749 ref 3673 ref appTerm 3675 def axiom nil 83 ref 3675 remove nil cons cons 84 ref 3674 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 3673 remove nil cons cons 776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3672 remove nil cons cons 84 ref 3671 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 3670 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp nil 119 ref 3660 ref cons 121 ref 3667 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp subst subst eqMp nil 83 ref 3654 remove cons 84 ref 68 ref 1059 ref 3643 remove 1660 ref appTerm 3676 def appTerm appTerm 3647 ref 1059 ref 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 305 remove cons nil cons nil cons cons 1657 ref 68 ref 3653 remove 1663 ref appTerm appTerm 68 ref 1664 ref 3676 remove appTerm appTerm 3647 ref 1665 ref appTerm appTerm appTerm absTerm 3677 def 1660 ref appTerm 3678 def betaConv 1662 ref 311 ref 3677 ref appTerm 3679 def absTerm 3680 def 1663 ref appTerm 3681 def betaConv nil 84 ref 3633 ref cons 83 ref 3628 remove nil cons cons nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 3680 ref appTerm nil cons cons 84 ref 3681 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3680 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3679 remove nil cons cons 84 ref 3678 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3677 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp nil 24 ref 3633 ref cons nil cons nil cons cons 1063 ref subst trans nil 83 ref 3647 ref 3630 remove appTerm nil cons cons 84 ref 68 ref 3641 ref 3635 remove 1660 ref appTerm 3682 def appTerm appTerm 3642 ref 3641 remove 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 3633 remove cons nil cons nil cons cons 1657 ref 68 ref 3647 remove 1663 ref appTerm appTerm 68 ref 1664 ref 3682 remove appTerm appTerm 3642 remove 1665 ref appTerm appTerm appTerm absTerm 3683 def 1660 ref appTerm 3684 def betaConv 1662 ref 311 ref 3683 ref appTerm 3685 def absTerm 3686 def 1663 ref appTerm 3687 def betaConv nil 3559 remove 3632 remove nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 3686 ref appTerm nil cons cons 84 ref 3687 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3686 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3685 remove nil cons cons 84 ref 3684 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 3683 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp sym nil 3634 ref 3560 ref cons nil cons cons 3688 def 100 ref subst 3688 remove 157 ref subst nil 3634 remove 84 ref 820 ref 26 ref 0 ref 523 ref 525 ref cons opType 3689 def constTerm 3690 def 3629 ref appTerm "Set.{}" const 523 ref constTerm 3691 def appTerm appTerm nil cons 3692 def cons nil cons cons nil cons cons 144 ref subst nil 3462 ref 3629 remove nil cons cons nil cons nil cons cons 3693 def 3462 ref 3592 ref 820 ref 3690 remove 3465 ref appTerm 3691 remove appTerm appTerm 3694 def appTerm absTerm 3695 def 3465 ref appTerm 3696 def betaConv nil 3588 ref 3695 ref appTerm 3697 def axiom nil 83 ref 3697 remove nil cons cons 84 ref 3696 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 3695 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp nil 83 ref 3692 remove cons 3560 ref cons nil cons cons 144 ref subst proveHyp 182 ref 3693 remove 3462 ref 27 ref 3694 ref appTerm 331 ref 64 ref 527 ref 3465 ref appTerm 3698 def absTerm 3699 def appTerm 3700 def appTerm 3701 def absTerm 3702 def 3465 ref appTerm 3703 def betaConv 3596 ref 3462 ref 3701 remove assume sym 27 ref 3700 remove appTerm 3694 remove appTerm 3704 def assume sym deductAntisym absThm appThm nil 3588 ref 3462 ref 3704 remove absTerm appTerm axiom eqMp nil 83 ref 3588 ref 3702 ref appTerm nil cons cons 84 ref 3703 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 3702 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp subst 1022 ref 64 ref nil 3562 ref 3627 remove cons nil cons nil cons cons 64 ref 27 ref 527 ref 3569 remove appTerm appTerm 10 ref 3698 ref appTerm 3705 def 820 ref 527 ref 3565 ref appTerm 3706 def appTerm appTerm appTerm absTerm 3707 def 69 ref appTerm 3708 def betaConv 3562 ref 63 ref 3707 ref appTerm 3709 def absTerm 3710 def 3565 ref appTerm 3711 def betaConv 3462 ref 3588 ref 3710 ref appTerm 3712 def absTerm 3713 def 3465 ref appTerm 3714 def betaConv nil 3588 ref 3713 ref appTerm 3715 def axiom nil 83 ref 3715 remove nil cons cons 84 ref 3714 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 3713 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3712 remove nil cons cons 84 ref 3711 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 3710 remove nil cons cons 3625 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3709 remove nil cons cons 84 ref 3708 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 3707 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp subst 3705 ref refl 3716 def 932 ref nil 3656 remove 2375 ref nil cons 3717 def cons nil cons cons 3658 ref 734 ref 27 ref 508 ref 0 ref 46 ref 3663 ref nil cons cons opType constTerm 71 ref appTerm 3665 ref appTerm 3718 def appTerm 331 ref 64 ref 10 ref 739 ref 71 ref appTerm 3719 def 740 ref appTerm appTerm 3698 ref appTerm absTerm appTerm appTerm absTerm 3720 def 735 ref appTerm 3721 def betaConv 3462 ref 749 ref 3720 ref appTerm 3722 def absTerm 3723 def 3465 ref appTerm 3724 def betaConv 67 ref 3588 ref 3723 ref appTerm 3725 def absTerm 3726 def 71 ref appTerm 3727 def betaConv nil 66 ref 3726 ref appTerm 3728 def axiom nil 83 ref 3728 remove nil cons cons 84 ref 3727 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 3726 remove nil cons cons 2556 ref 71 ref nil cons 3729 def cons nil cons 3730 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3725 remove nil cons cons 84 ref 3724 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 3723 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3722 remove nil cons cons 84 ref 3721 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 3720 remove nil cons cons 776 ref cons nil cons cons 173 ref subst eqMp eqMp subst subst 1345 ref 180 ref 10 ref 637 ref 3468 ref appTerm appTerm 3731 def refl 123 ref 508 remove 0 ref 1 ref 3648 ref nil cons 3732 def cons opType 3733 def constTerm 3734 def 188 ref appTerm 3735 def refl 3581 remove refl 3582 remove 1345 ref 187 ref 3583 remove refl 187 ref 289 ref absTerm 3736 def 193 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 3736 ref 188 ref appTerm betaConv appThm nil 287 ref 3736 remove nil cons cons nil cons nil cons cons 221 ref 544 ref subst subst eqMp appThm absThm appThm trans appThm appThm trans absThm appThm trans appThm 3639 ref appThm sym nil 150 ref 64 ref 68 ref 64 ref 3705 ref 820 ref 583 ref 180 ref 3731 remove 213 remove 194 ref appTerm 3737 def appTerm 3738 def absTerm 3739 def appTerm appTerm appTerm 3740 def absTerm 3741 def 69 ref appTerm 3742 def appTerm 3551 ref appTerm 3743 def absTerm 3744 def nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 3743 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3742 ref nil cons 3745 def cons 3560 ref cons nil cons cons 3746 def 100 ref subst 3746 remove 157 ref subst 3742 ref betaConv 3742 remove assume eqMp nil 83 ref 3740 remove nil cons cons 3560 ref cons nil cons cons 144 ref subst proveHyp 182 ref 3716 remove 123 ref 932 ref 1345 ref 180 ref 3739 ref 188 ref appTerm betaConv 3747 def absThm appThm appThm appThm 179 ref 180 ref 932 ref 3747 remove appThm absThm appThm appThm nil 287 ref 3739 remove nil cons cons nil cons nil cons cons 1347 remove subst eqMp appThm appThm 3639 remove appThm sym nil 83 ref 3705 ref 178 ref 180 ref 820 ref 3738 remove appTerm absTerm 3748 def appTerm 3749 def appTerm nil cons 3750 def cons 3560 remove cons nil cons cons 3751 def 100 ref subst 3751 remove 157 ref subst nil 119 ref 3698 ref nil cons 3752 def cons 121 ref 3749 remove nil cons 3753 def cons nil cons cons nil cons cons 3754 def 135 ref subst 3754 remove 581 ref subst 3550 ref 69 ref appTerm betaConv sym 23 ref nil 24 ref 3752 remove cons nil cons nil cons cons 33 ref subst 3698 ref assume eqMp appThm 178 ref 187 ref 290 ref 820 ref 3506 ref 69 ref appTerm appTerm 3755 def appTerm 3756 def absTerm 3757 def appTerm 3758 def refl appThm nil 24 ref 3758 remove nil cons cons nil cons nil cons cons 324 ref subst trans sym nil 206 ref 3757 remove nil cons cons nil cons nil cons cons 223 ref subst 187 ref nil 24 ref 3756 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1965 ref 84 ref 3755 remove nil cons 3759 def cons nil cons cons nil cons cons 3760 def 100 ref subst 3760 remove 157 ref subst 932 ref nil 2375 ref 64 ref 3505 ref nil cons cons nil cons cons nil cons cons 768 ref subst appThm sym 3748 ref 193 ref appTerm 3761 def betaConv nil 83 ref 3753 remove cons 84 ref 3761 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 3748 remove nil cons cons 208 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 820 ref 10 ref 637 ref 3505 remove appTerm 3762 def appTerm 3763 def 289 ref appTerm appTerm nil cons cons 84 ref 820 ref 3762 ref appTerm 3764 def nil cons 3765 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 932 ref 3763 remove refl nil 24 ref 1964 remove cons nil cons nil cons cons 33 ref subst 289 ref assume eqMp appThm nil 24 ref 3762 remove nil cons cons nil cons nil cons cons 1285 ref subst trans appThm appThm 3764 remove refl appThm nil 24 ref 3765 remove cons nil cons nil cons cons 1093 ref subst trans sym 32 ref eqMp eqMp eqMp eqMp nil 3525 ref 121 ref 3759 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 355 ref 150 ref 3550 remove nil cons cons 357 ref cons nil cons cons 360 ref subst proveHyp proveHyp proveHyp eqMp nil 119 ref 3750 remove cons 121 ref 3558 remove cons nil cons 3766 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 119 ref 3745 remove cons 3766 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 63 ref 3744 remove appTerm nil cons cons 84 ref 68 ref 331 ref 3741 ref appTerm appTerm 3551 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 3741 remove nil cons cons 3766 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp nil 3640 remove 3766 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 119 ref 3557 remove cons 3766 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 10 ref 1319 ref 825 ref 1319 ref 3493 ref 178 ref 183 ref 63 ref 255 ref 3536 remove absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 3556 remove appTerm nil cons cons 84 ref 824 ref 825 ref 178 ref 183 ref 10 ref 526 ref 828 ref appTerm 3465 ref appTerm 3767 def appTerm 178 ref 187 ref 290 ref 820 ref 3506 ref 828 ref appTerm appTerm 3768 def appTerm absTerm appTerm 3769 def appTerm absTerm 3770 def appTerm 3771 def absTerm 3772 def appTerm 3773 def nil cons 3774 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 3492 ref 825 ref 3492 ref 3493 ref 179 ref 183 ref 1078 ref 255 ref 3535 remove refl 123 ref 825 ref 183 ref "_17027" 45 ref var 3775 def 10 ref 526 ref 3775 ref varTerm 3776 def appTerm 3465 ref appTerm appTerm 3777 def 178 ref 187 ref 290 ref 820 ref 3506 ref 3776 ref appTerm appTerm 3778 def appTerm absTerm appTerm appTerm absTerm 3779 def absTerm 3780 def absTerm 3781 def 826 ref appTerm betaConv 3782 def 1146 ref appThm 3780 ref 194 ref appTerm betaConv trans 3783 def 1105 ref appThm 3779 ref 256 ref appTerm betaConv trans 3784 def appThm 3781 ref 3498 ref appTerm betaConv 1146 ref appThm 183 ref 3775 ref 3777 ref 178 ref 187 ref 290 ref 820 ref 3511 remove 3776 remove appTerm appTerm appTerm absTerm appTerm appTerm absTerm 3785 def absTerm 194 ref appTerm betaConv trans 1105 ref appThm 3785 remove 256 ref appTerm betaConv trans appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm 3492 ref 825 ref 179 ref 183 ref 182 ref 179 ref 558 ref 3496 ref refl 3786 def 3782 remove 561 ref refl 3787 def appThm 3780 remove 561 ref appTerm betaConv trans 3497 ref refl appThm 3775 remove 3777 remove 178 ref 187 ref 3548 remove 3778 remove appTerm absTerm appTerm appTerm absTerm 3497 remove appTerm betaConv trans appThm absThm appThm appThm 1022 ref 255 ref 3784 remove absThm appThm appThm absThm appThm absThm appThm appThm appThm 1138 ref 825 ref 179 ref 183 ref 3783 remove 828 ref refl 3788 def appThm 3779 remove 828 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "p" 0 ref 821 ref 0 ref 1 ref 246 ref cons opType nil cons cons opType var 3789 def 3781 remove nil cons cons nil cons nil cons cons 3657 ref 43 ref cons 3790 def "p" 0 ref 0 ref 1 ref 727 ref cons opType 3791 def 0 ref 1 ref 48 ref cons opType nil cons cons opType 3792 def var 3793 def 68 ref 10 ref 60 ref 0 ref 0 ref 3791 ref 3 ref cons opType 3 ref cons opType 3794 def constTerm 3795 def "f" 3791 ref var 3796 def 3795 ref "g" 3791 ref var 3797 def 178 ref 180 ref 66 ref 67 ref 68 ref 178 ref 558 ref 68 ref 3494 ref 188 ref appTerm appTerm 3798 def 739 ref 3796 ref varTerm 3799 def 561 ref appTerm 3800 def appTerm 3797 remove varTerm 3801 def 561 ref appTerm appTerm appTerm absTerm appTerm appTerm 27 ref 3793 remove varTerm 3802 def 3799 ref appTerm 3803 def 188 ref appTerm 3804 def 71 ref appTerm 3805 def appTerm 3802 ref 3801 remove appTerm 188 ref appTerm 71 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 3795 ref 3796 ref 178 ref 180 ref 68 ref 178 ref 558 ref 3798 remove 3803 remove 561 ref appTerm 3800 remove appTerm appTerm absTerm appTerm appTerm 1116 ref 67 ref 3805 remove absTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 330 ref 3794 remove constTerm 3796 ref 178 ref 180 ref 3804 remove 3799 ref 188 ref appTerm 3806 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 3807 def 3802 ref appTerm 3808 def betaConv 471 remove nil 806 remove 84 ref 60 ref 0 ref 0 ref 3792 ref 3 ref cons opType 3809 def 3 ref cons opType constTerm 3807 ref appTerm nil cons 3810 def cons nil cons cons nil cons cons 144 ref subst proveHyp 245 remove 221 ref nil 83 ref 393 ref cons 3811 def 84 ref 60 ref 0 ref 0 ref 0 ref 728 ref 145 ref cons opType 3812 def 3 ref cons opType 3813 def 3 ref cons opType constTerm 3814 def "p" 3812 ref var 3815 def 68 ref 10 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 66 ref 67 ref 68 ref 63 ref 452 ref 68 ref 251 ref 455 ref appTerm 3816 def 69 ref appTerm 3817 def appTerm 3818 def 739 ref 735 ref 455 ref appTerm 3819 def appTerm 3820 def 736 ref 455 ref appTerm 3821 def appTerm 3822 def appTerm absTerm 3823 def appTerm 3824 def appTerm 3825 def 27 ref 3815 ref varTerm 3826 def 735 ref appTerm 3827 def 69 ref appTerm 3828 def 71 ref appTerm 3829 def appTerm 3826 ref 736 ref appTerm 69 ref appTerm 71 ref appTerm 3830 def appTerm 3831 def appTerm absTerm 3832 def appTerm 3833 def absTerm 3834 def appTerm 3835 def absTerm 3836 def appTerm 3837 def absTerm 3838 def appTerm 3839 def appTerm 749 ref 734 ref 63 ref 64 ref 68 ref 63 ref 452 ref 3818 ref 3827 ref 455 ref appTerm 3819 ref appTerm 3840 def appTerm absTerm 3841 def appTerm 3842 def appTerm 1116 ref 67 ref 3829 ref absTerm 3843 def appTerm 3844 def appTerm absTerm appTerm absTerm appTerm 3845 def appTerm 3846 def appTerm 1117 ref 734 ref 63 ref 64 ref 3828 ref 740 ref appTerm absTerm appTerm 3847 def absTerm 3848 def appTerm 3849 def appTerm 3850 def absTerm 3851 def appTerm 3852 def nil cons 3853 def cons nil cons cons nil cons cons 3854 def 100 ref subst 3854 remove 157 ref subst nil "P" 3813 remove var 3855 def 3851 remove nil cons cons nil cons nil cons cons "A" 3812 ref nil cons 3856 def cons 3857 def nil cons 3858 def 43 ref cons 222 ref subst 3859 def subst 3815 ref nil 24 ref 3850 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3846 remove nil cons 3860 def cons 84 ref 3849 ref nil cons 3861 def cons nil cons 3862 def cons nil cons cons 3863 def 100 ref subst 3863 remove 157 ref subst nil 119 ref 3839 ref nil cons 3864 def cons 3865 def 121 ref 3845 ref nil cons 3866 def cons nil cons cons nil cons cons 3867 def 135 ref subst 3867 remove 581 ref subst nil 773 ref 734 ref 749 ref 729 ref 63 ref 64 ref 3825 ref 739 ref 1494 ref 0 ref 47 ref 727 remove cons opType constTerm 3868 def 3843 ref appTerm 3869 def appTerm 3870 def 3868 ref 67 ref 3830 ref absTerm appTerm 3871 def appTerm 3872 def appTerm 3873 def absTerm 3874 def appTerm 3875 def absTerm 3876 def appTerm 3877 def absTerm 3878 def nil cons cons nil cons nil cons cons 1412 ref subst 734 ref nil 24 ref 3877 remove nil cons cons nil cons nil cons cons 33 ref subst nil 773 ref 3876 remove nil cons cons nil cons nil cons cons 1412 ref subst 729 ref nil 24 ref 3875 remove nil cons cons nil cons nil cons cons 33 ref subst nil 150 ref 3874 remove nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 3873 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3824 remove nil cons 3879 def cons 3880 def 84 ref 3872 remove nil cons 3881 def cons nil cons cons nil cons cons 3882 def 100 ref subst 3882 remove 157 ref subst 3868 remove refl 67 ref nil 3880 ref 84 ref 3831 remove nil cons cons nil cons cons nil cons cons 3883 def 144 ref subst 3832 ref 71 ref appTerm 3884 def betaConv 3834 ref 69 ref appTerm 3885 def betaConv 3836 ref 736 ref appTerm 3886 def betaConv 3838 ref 735 ref appTerm 3887 def betaConv nil 83 ref 3864 remove cons 3888 def 84 ref 3887 remove nil cons cons nil cons cons nil cons cons 144 ref subst 772 ref 773 ref 3838 remove nil cons cons 776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3837 remove nil cons cons 84 ref 3886 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 3836 remove nil cons cons 778 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3835 remove nil cons cons 84 ref 3885 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 3834 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3833 remove nil cons cons 84 ref 3884 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 3832 remove nil cons cons 3730 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp absThm appThm eqMp nil 119 ref 3879 remove cons 121 ref 3881 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 83 ref 749 ref 3878 remove appTerm nil cons cons 84 ref 1117 ref 734 ref 63 ref 64 ref 741 ref 3869 ref appTerm 3889 def absTerm 3890 def appTerm 3891 def absTerm 3892 def appTerm 3893 def nil cons 3894 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref 3825 ref refl 1550 ref 734 ref 64 ref 3869 ref absTerm 3895 def absTerm 3896 def 735 ref appTerm betaConv 3897 def 172 ref appThm 3895 remove 69 ref appTerm betaConv 3898 def trans 3899 def appThm 3896 ref 736 ref appTerm betaConv 172 ref appThm 64 ref 3871 remove absTerm 69 ref appTerm betaConv trans appThm appThm absThm appThm absThm appThm absThm appThm appThm 1117 ref refl 3900 def 734 ref 1078 ref 64 ref 741 ref refl 3901 def 3899 remove appThm absThm appThm absThm appThm appThm nil "h" 0 ref 728 ref 770 ref cons opType 3902 def var 3903 def 3896 ref nil cons cons nil cons nil cons cons nil 83 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 3825 remove 739 ref 3903 ref varTerm 3904 def 735 ref appTerm 3905 def 69 ref appTerm 3906 def appTerm 3907 def 3904 ref 736 ref appTerm 3908 def 69 ref appTerm 3909 def appTerm 3910 def appTerm 3911 def absTerm 3912 def appTerm 3913 def absTerm 3914 def appTerm 3915 def absTerm 3916 def appTerm 3917 def nil cons 3918 def cons 3919 def 84 ref 1117 ref 734 ref 63 ref 64 ref 741 ref 3906 ref appTerm 3920 def absTerm 3921 def appTerm 3922 def absTerm 3923 def appTerm 3924 def nil cons 3925 def cons nil cons 3926 def cons nil cons cons 3927 def 100 ref subst 3927 ref 157 ref subst 50 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 68 ref 63 ref 452 ref 3818 ref 10 ref 3822 ref appTerm 3928 def 58 ref 455 ref appTerm 3819 ref appTerm 3929 def appTerm 3930 def appTerm absTerm 3931 def appTerm 3932 def appTerm 10 ref 3910 ref appTerm 73 remove 3906 ref appTerm 3933 def appTerm 3934 def appTerm absTerm appTerm absTerm 3935 def appTerm 3936 def absTerm 3937 def appTerm 3938 def absTerm 3939 def 64 ref 67 ref 30 ref absTerm 3940 def absTerm 3941 def appTerm betaConv sym 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref 182 ref 1078 ref 452 ref 3818 ref refl 3942 def 3928 remove refl 3941 ref 455 ref appTerm betaConv 3819 ref refl appThm 3940 ref 3819 ref appTerm betaConv trans appThm nil 24 ref 3822 ref nil cons 3943 def cons nil cons nil cons cons 1285 ref subst trans appThm absThm appThm appThm 23 ref 3910 ref refl 3944 def appThm 3945 def 3941 ref 69 ref appTerm betaConv 3906 ref refl 3946 def appThm 3940 remove 3906 ref appTerm betaConv trans appThm nil 24 ref 3910 ref nil cons 3947 def cons nil cons nil cons cons 3948 def 1285 ref subst trans appThm nil 24 ref 3911 remove nil cons cons nil cons nil cons cons 33 ref subst 3912 ref 69 ref appTerm 3949 def betaConv 3950 def 3914 ref 736 ref appTerm 3951 def betaConv 3952 def 3916 ref 735 ref appTerm 3953 def betaConv 3954 def nil 3919 ref 84 ref 3953 remove nil cons cons nil cons cons nil cons cons 144 ref subst 772 ref 773 ref 3916 remove nil cons cons 3955 def 776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3915 remove nil cons cons 84 ref 3951 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 3914 remove nil cons cons 3956 def 778 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3913 remove nil cons cons 84 ref 3949 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 3912 remove nil cons cons 3957 def 357 ref cons nil cons cons 173 ref subst eqMp eqMp 3958 def eqMp trans absThm appThm 1525 ref trans absThm appThm 306 ref 1411 ref 318 ref subst subst 3959 def trans absThm appThm 3959 ref trans sym 32 ref eqMp eqMp 146 ref 147 ref 3939 ref nil cons cons 3960 def 148 ref 3941 remove nil cons cons nil cons cons nil cons cons 360 ref subst proveHyp nil 83 ref 330 ref 77 ref constTerm 3961 def 3939 ref appTerm 3962 def nil cons 3963 def cons 3964 def 3926 ref cons nil cons cons 3965 def 144 ref subst proveHyp 3903 ref 68 ref 3962 remove appTerm 3966 def 3924 ref appTerm 3967 def absTerm 3968 def 3904 ref appTerm 3969 def betaConv nil 3811 ref 84 ref 60 ref 0 ref 0 ref 3902 ref 3 ref cons opType 3970 def 3 ref cons opType 3971 def constTerm 3972 def 3903 ref 78 ref 50 ref 68 ref 3938 ref appTerm 3924 ref appTerm 3973 def absTerm 3974 def appTerm 3975 def absTerm 3976 def appTerm 3977 def nil cons 3978 def cons nil cons 3979 def cons nil cons cons 144 ref subst 248 ref 446 ref 3977 ref appTerm absTerm 3980 def 251 ref appTerm 3981 def betaConv 275 ref refl 3982 def 248 ref 182 ref 284 ref appThm 3983 def 3977 ref refl appThm absThm appThm sym nil 280 ref 248 ref 68 ref 271 ref appTerm 3984 def 3977 ref appTerm 3985 def absTerm nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 3985 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 271 ref nil cons 3986 def cons 3987 def 3979 remove cons nil cons cons 3988 def 100 ref subst 3988 remove 157 ref subst nil "P" 3970 ref var 3989 def 3976 ref nil cons cons 3990 def nil cons nil cons cons "A" 3902 ref nil cons 3991 def cons 3992 def nil cons 3993 def 43 ref cons 3994 def 222 ref subst 3995 def subst 3903 ref nil 24 ref 3975 remove nil cons 3996 def cons nil cons nil cons cons 33 ref subst nil 147 ref 3974 ref nil cons cons 3997 def nil cons nil cons cons 146 ref 43 ref cons 3998 def 222 ref subst 3999 def subst 50 ref nil 24 ref 3973 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3938 ref nil cons 4000 def cons 4001 def 3926 ref cons nil cons cons 4002 def 100 ref subst 4002 ref 157 ref subst nil 147 ref 507 ref 68 ref 701 ref 510 ref appTerm "a0" 45 ref var 4003 def "a1" 46 ref var 4004 def 78 ref "t'" 49 ref var 4005 def 68 ref 63 ref 4003 ref 66 ref 4004 ref 68 ref 1117 ref 734 ref 10 ref 739 ref 4004 ref varTerm 4006 def appTerm 4007 def 3905 ref 4003 ref varTerm 4008 def appTerm appTerm 4009 def appTerm 4010 def 63 ref 452 ref 68 ref 3816 ref 4008 ref appTerm 4011 def appTerm 4012 def 4005 ref varTerm 4013 def 455 ref appTerm 4014 def 3819 ref appTerm 4015 def appTerm 4016 def absTerm 4017 def appTerm 4018 def appTerm 4019 def absTerm 4020 def appTerm 4021 def appTerm 4013 ref 4008 ref appTerm 4006 ref appTerm 4022 def appTerm 4023 def absTerm 4024 def appTerm 4025 def absTerm 4026 def appTerm 4027 def appTerm 4028 def 4022 ref appTerm 4029 def absTerm 4030 def appTerm 4031 def absTerm 4032 def absTerm 4033 def appTerm 4034 def appTerm 507 ref 10 ref 749 ref 734 ref 63 ref 64 ref 68 ref 63 ref 452 ref 3818 ref 510 ref 455 ref appTerm 4035 def 3819 ref appTerm 4036 def appTerm absTerm 4037 def appTerm 4038 def appTerm 510 ref 69 ref appTerm 4039 def 3906 ref appTerm 4040 def appTerm 4041 def absTerm 4042 def appTerm 4043 def absTerm 4044 def appTerm 4045 def appTerm 10 ref 78 ref 4005 ref 68 ref 749 ref 734 ref 63 ref 64 ref 68 ref 63 ref 452 ref 3818 ref 4015 ref appTerm absTerm appTerm 4046 def appTerm 4013 ref 69 ref appTerm 4047 def 3906 ref appTerm 4048 def appTerm absTerm 4049 def appTerm absTerm 4050 def appTerm 4051 def appTerm 63 ref 4003 ref 66 ref 4004 ref 68 ref 510 ref 4008 ref appTerm 4052 def 4006 ref appTerm 4053 def appTerm 4054 def 4022 ref appTerm 4055 def absTerm 4056 def appTerm 4057 def absTerm 4058 def appTerm 4059 def appTerm absTerm 4060 def appTerm 4061 def appTerm 63 ref 4003 ref 66 ref 4004 ref 27 ref 4053 ref appTerm 4062 def 1117 ref 734 ref 4010 ref 63 ref 452 ref 4012 ref 4036 ref appTerm 4063 def absTerm 4064 def appTerm 4065 def appTerm 4066 def absTerm 4067 def appTerm 4068 def appTerm 4069 def absTerm 4070 def appTerm 4071 def absTerm 4072 def appTerm 4073 def appTerm 4074 def appTerm 4075 def absTerm 4076 def 510 ref appTerm 4077 def appTerm 4078 def absTerm nil cons cons nil cons nil cons cons 3999 ref subst 507 ref nil 24 ref 4078 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4034 ref nil cons 4079 def cons 84 ref 4077 ref nil cons 4080 def cons nil cons cons nil cons cons 4081 def 100 ref subst 4081 remove 157 ref subst 4077 ref betaConv 4082 def sym nil 147 ref 507 ref 78 ref 4005 ref 68 ref 4059 ref appTerm 63 ref 4003 ref 66 ref 4004 ref 68 ref 4068 ref appTerm 4083 def 4021 ref appTerm 4084 def absTerm 4085 def appTerm 4086 def absTerm 4087 def appTerm 4088 def appTerm 4089 def absTerm 4090 def appTerm 4091 def absTerm 4092 def nil cons cons 4093 def nil cons nil cons cons 3999 ref subst 507 ref nil 24 ref 4091 remove nil cons 4094 def cons nil cons nil cons cons 33 ref subst nil 147 ref 4090 ref nil cons cons 4095 def nil cons nil cons cons 3999 ref subst 4005 ref nil 24 ref 4089 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4059 ref nil cons 4096 def cons 4097 def 84 ref 4088 remove nil cons 4098 def cons nil cons cons nil cons cons 4099 def 100 ref subst 4099 ref 157 ref subst nil 150 ref 4087 ref nil cons cons 4100 def nil cons nil cons cons 222 ref subst 4003 ref nil 24 ref 4086 remove nil cons 4101 def cons nil cons nil cons cons 33 ref subst nil 2541 ref 4085 ref nil cons cons 4102 def nil cons nil cons cons 2542 ref subst 4004 ref nil 24 ref 4084 remove nil cons 4103 def cons nil cons nil cons cons 33 ref subst nil 773 ref 734 ref 68 ref 4066 ref appTerm 4104 def 4019 remove appTerm 4105 def absTerm 4106 def nil cons cons nil cons nil cons cons 1412 ref subst 734 ref nil 24 ref 4105 remove nil cons 4107 def cons nil cons nil cons cons 33 ref subst 83 ref 86 remove 85 ref appTerm absTerm 4108 def 4009 ref appTerm 4109 def betaConv 1092 ref nil 83 ref 311 ref 4108 ref appTerm nil cons cons 4110 def 84 ref 4109 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4108 ref nil cons cons 4111 def 315 ref 4009 ref nil cons 4112 def cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 4009 ref appTerm 4009 ref appTerm 4113 def nil cons cons 84 ref 68 ref 4065 ref appTerm 4018 ref appTerm 4114 def nil cons cons nil cons 4115 def cons nil cons cons 157 ref subst proveHyp nil 150 ref 452 ref 68 ref 4063 remove appTerm 4016 remove appTerm 4116 def absTerm 4117 def nil cons cons nil cons nil cons cons 222 ref subst 452 ref nil 24 ref 4116 remove nil cons 4118 def cons nil cons nil cons cons 33 ref subst 4108 remove 4011 ref appTerm 4119 def betaConv 1092 remove nil 4110 remove 84 ref 4119 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 4111 remove 315 ref 4011 ref nil cons 4120 def cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4012 ref 4011 ref appTerm 4121 def nil cons cons 84 ref 68 ref 4036 ref appTerm 4015 ref appTerm 4122 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 4004 ref 3819 ref nil cons 4123 def cons 4003 ref 455 ref nil cons 4124 def cons nil cons cons nil cons cons nil 24 ref 4055 remove nil cons cons nil cons nil cons cons 33 ref subst 4125 def 4056 ref 4006 ref appTerm 4126 def betaConv 4058 ref 4008 ref appTerm 4127 def betaConv nil 4097 remove 84 ref 4127 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 4058 remove nil cons cons 4128 def 64 ref 4008 ref nil cons cons nil cons 4129 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4057 remove nil cons 4130 def cons 84 ref 4126 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 4056 remove nil cons cons 4131 def 2556 ref 4006 ref nil cons cons nil cons 4132 def cons nil cons cons 173 ref subst eqMp eqMp eqMp subst sym 32 ref eqMp eqMp nil 83 ref 10 ref 4121 remove appTerm 4122 remove appTerm nil cons cons 84 ref 4118 remove cons nil cons cons nil cons cons 144 ref subst proveHyp nil "q2" 2 ref var 4133 def 4015 ref nil cons 4134 def cons "p2" 2 ref var 4135 def 4120 ref cons "q1" 2 ref var 4136 def 4036 ref nil cons 4137 def cons "p1" 2 ref var 4138 def 4120 ref cons nil cons cons cons cons nil cons cons 4133 ref 68 ref 10 ref 68 ref 4135 ref varTerm 4139 def appTerm 4140 def 4138 ref varTerm 4141 def appTerm appTerm 68 ref 4136 ref varTerm 4142 def appTerm 4133 ref varTerm 4143 def appTerm 4144 def appTerm appTerm 68 ref 68 ref 4141 ref appTerm 4145 def 4142 ref appTerm appTerm 4140 remove 4143 ref appTerm appTerm appTerm absTerm 4146 def 4143 ref appTerm 4147 def betaConv 4136 ref 311 ref 4146 ref appTerm 4148 def absTerm 4149 def 4142 ref appTerm 4150 def betaConv 4135 ref 311 ref 4149 ref appTerm 4151 def absTerm 4152 def 4139 ref appTerm 4153 def betaConv 4138 ref 311 ref 4152 ref appTerm 4154 def absTerm 4155 def 4141 ref appTerm 4156 def betaConv nil 311 ref 4155 ref appTerm 4157 def axiom nil 83 ref 4157 remove nil cons cons 84 ref 4156 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4155 remove nil cons cons 315 ref 4141 ref nil cons cons nil cons 4158 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4154 remove nil cons cons 84 ref 4153 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4152 remove nil cons cons 315 ref 4139 ref nil cons cons nil cons 4159 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4151 remove nil cons cons 84 ref 4150 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4149 remove nil cons cons 315 ref 4142 ref nil cons cons nil cons 4160 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4148 remove nil cons cons 84 ref 4147 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4146 remove nil cons cons 315 ref 4143 ref nil cons cons nil cons 4161 def cons nil cons cons 173 ref subst eqMp eqMp subst eqMp eqMp absThm eqMp nil 83 ref 63 ref 4117 remove appTerm nil cons cons 4115 remove cons nil cons cons 144 ref subst proveHyp 182 ref 1078 ref 452 ref 182 ref 4064 ref 455 ref appTerm betaConv 4162 def appThm 4017 ref 455 ref appTerm betaConv 4163 def appThm absThm appThm appThm 182 ref 1078 ref 452 ref 4162 ref absThm appThm appThm 1078 ref 452 ref 4163 remove absThm appThm appThm appThm nil 161 ref 4064 remove nil cons 4164 def cons 1446 ref 4017 remove nil cons cons nil cons cons nil cons cons 1446 ref 68 ref 63 ref 64 ref 334 ref 1448 remove appTerm absTerm appTerm appTerm 4165 def 68 ref 268 ref appTerm 1451 ref appTerm appTerm absTerm 4166 def 1447 ref appTerm 4167 def betaConv 161 ref 254 ref 4166 ref appTerm 4168 def absTerm 4169 def 163 ref appTerm 4170 def betaConv nil 254 ref 4169 ref appTerm 4171 def axiom nil 83 ref 4171 remove nil cons cons 84 ref 4170 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 4169 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4168 remove nil cons cons 84 ref 4167 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 4166 remove nil cons cons 1458 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp eqMp eqMp nil 83 ref 10 ref 4113 remove appTerm 4114 remove appTerm nil cons cons 84 ref 4107 remove cons nil cons cons nil cons cons 144 ref subst proveHyp nil 4133 ref 4018 remove nil cons cons 4135 ref 4112 ref cons 4136 ref 4065 remove nil cons 4172 def cons 4138 ref 4112 ref cons nil cons cons cons cons nil cons cons 4133 remove 68 ref 10 ref 4145 remove 4139 ref appTerm appTerm 4144 remove appTerm appTerm 68 ref 10 ref 4141 ref appTerm 4142 ref appTerm appTerm 10 ref 4139 ref appTerm 4143 ref appTerm appTerm appTerm absTerm 4173 def 4143 remove appTerm 4174 def betaConv 4136 remove 311 ref 4173 ref appTerm 4175 def absTerm 4176 def 4142 remove appTerm 4177 def betaConv 4135 remove 311 ref 4176 ref appTerm 4178 def absTerm 4179 def 4139 remove appTerm 4180 def betaConv 4138 remove 311 ref 4179 ref appTerm 4181 def absTerm 4182 def 4141 remove appTerm 4183 def betaConv nil 311 ref 4182 ref appTerm 4184 def axiom nil 83 ref 4184 remove nil cons cons 84 ref 4183 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4182 remove nil cons cons 4158 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4181 remove nil cons cons 84 ref 4180 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4179 remove nil cons cons 4159 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4178 remove nil cons cons 84 ref 4177 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4176 remove nil cons cons 4160 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4175 remove nil cons cons 84 ref 4174 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4173 remove nil cons cons 4161 remove cons nil cons cons 173 ref subst eqMp eqMp subst eqMp eqMp absThm eqMp nil 83 ref 749 ref 4106 remove appTerm nil cons cons 84 ref 4103 ref cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 753 ref 734 ref 182 ref 4067 ref 735 ref appTerm 4185 def betaConv 4186 def appThm 4020 ref 735 ref appTerm betaConv 4187 def appThm absThm appThm appThm 182 ref 3900 ref 734 ref 4186 ref absThm appThm appThm 3900 ref 734 ref 4187 remove absThm appThm appThm appThm nil "p" 730 ref var 4188 def 4067 ref nil cons 4189 def cons "q" 730 remove var 4190 def 4020 remove nil cons cons nil cons cons nil cons cons 1411 ref 1446 ref 4165 remove 934 remove 1998 remove appTerm appTerm absTerm 4191 def 1447 ref appTerm 4192 def betaConv 161 ref 254 ref 4191 ref appTerm 4193 def absTerm 4194 def 163 ref appTerm 4195 def betaConv nil 254 ref 4194 ref appTerm 4196 def axiom nil 83 ref 4196 remove nil cons cons 84 ref 4195 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 4194 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4193 remove nil cons cons 84 ref 4192 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 4191 remove nil cons cons 1458 ref cons nil cons cons 173 ref subst eqMp eqMp 4197 def subst 4198 def subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 119 ref 4096 ref cons 121 ref 4098 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 83 ref 4045 ref nil cons 4199 def cons 4200 def 84 ref 63 ref 4003 ref 66 ref 4004 ref 749 ref 734 ref 4104 remove 4053 ref appTerm 4201 def absTerm 4202 def appTerm 4203 def absTerm 4204 def appTerm 4205 def absTerm 4206 def appTerm 4207 def nil cons 4208 def cons nil cons cons nil cons cons 4209 def 975 ref subst 4209 ref 100 ref subst 4209 remove 157 ref subst nil 150 ref 4206 ref nil cons cons 4210 def nil cons nil cons cons 222 ref subst 4003 ref nil 24 ref 4205 remove nil cons cons nil cons nil cons cons 33 ref subst nil 2541 ref 4204 remove nil cons cons nil cons nil cons cons 2542 ref subst 4004 ref nil 24 ref 4203 ref nil cons 4211 def cons nil cons nil cons cons 33 ref subst nil 773 ref 4202 ref nil cons cons 4212 def nil cons nil cons cons 1412 ref subst 4213 def 734 ref nil 24 ref 4201 remove nil cons cons nil cons nil cons cons 33 ref subst 4214 def nil 83 ref 4066 ref nil cons 4215 def cons 4216 def 84 ref 4053 ref nil cons 4217 def cons nil cons 4218 def cons nil cons cons 4219 def 100 ref subst 4220 def 4219 ref 157 ref subst 4221 def 4008 ref refl 4222 def nil 83 ref 531 ref 4008 ref appTerm 4223 def 4008 ref appTerm 4224 def nil cons cons 84 ref 4215 ref cons nil cons cons nil cons cons 157 ref subst proveHyp 4066 ref assume 4225 def eqMp nil 83 ref 10 ref 4224 remove appTerm 4066 remove appTerm nil cons cons 4218 ref cons nil cons cons 144 ref subst proveHyp nil 4129 ref nil cons cons nil 83 ref 10 ref 4223 remove 69 ref appTerm 4226 def appTerm 10 ref 4007 ref 3906 ref appTerm 4227 def appTerm 4038 ref appTerm 4228 def appTerm nil cons 4229 def cons 4218 ref cons nil cons cons 4230 def 100 ref subst 4230 remove 157 ref subst 510 ref refl 4231 def nil 119 ref 4226 remove nil cons cons 121 ref 4228 ref nil cons cons nil cons cons nil cons cons 4232 def 135 ref subst appThm 4232 remove 581 ref subst 4233 def nil 119 ref 4227 remove nil cons cons 121 ref 4038 ref nil cons 4234 def cons nil cons cons nil cons cons 4235 def 135 ref subst proveHyp appThm sym 4233 remove 4235 remove 581 ref subst proveHyp nil 83 ref 4234 ref cons 84 ref 4040 ref nil cons 4236 def cons nil cons 4237 def cons nil cons cons 4238 def 144 ref subst proveHyp 4042 ref 69 ref appTerm 4239 def betaConv 4044 ref 735 ref appTerm 4240 def betaConv nil 4200 ref 84 ref 4240 remove nil cons cons nil cons cons nil cons cons 144 ref subst 772 ref 773 ref 4044 remove nil cons cons 4241 def 776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4043 remove nil cons 4242 def cons 84 ref 4239 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 4042 remove nil cons cons 4243 def 357 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp nil 119 ref 4229 remove cons 121 ref 4217 ref cons nil cons 4244 def cons nil cons cons 135 ref subst deductAntisym eqMp subst eqMp eqMp nil 119 ref 4215 remove cons 4245 def 4244 ref cons nil cons cons 135 ref subst 4246 def deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 119 ref 4199 ref cons 4247 def 121 ref 4208 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 68 ref 4045 ref appTerm 4207 ref appTerm nil cons cons 84 ref 68 ref 4207 remove appTerm 4045 ref appTerm nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 83 ref 4208 ref cons 4248 def 84 ref 4199 ref cons nil cons cons nil cons cons 4249 def 100 ref subst 4249 remove 157 ref subst nil 4241 remove nil cons nil cons cons 1412 ref subst 734 ref nil 24 ref 4242 remove cons nil cons nil cons cons 33 ref subst nil 4243 remove nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 4041 remove nil cons cons nil cons nil cons cons 33 ref subst 4238 ref 100 ref subst 4238 ref 157 ref subst 3946 remove nil 83 ref 3907 ref 3906 ref appTerm 4250 def nil cons cons 84 ref 4234 ref cons nil cons 4251 def cons nil cons cons 157 ref subst proveHyp 4038 ref assume eqMp nil 83 ref 10 ref 4250 remove appTerm 4252 def 4038 ref appTerm nil cons cons 4237 ref cons nil cons cons 144 ref subst proveHyp "f'" 728 ref var 4253 def 68 ref 10 ref 3907 remove 3904 ref 4253 ref varTerm 4254 def appTerm 69 ref appTerm 4255 def appTerm appTerm 63 ref 452 ref 3818 ref 4035 ref 4254 ref 455 ref appTerm appTerm 4256 def appTerm absTerm appTerm appTerm appTerm 4040 ref appTerm absTerm 4257 def 735 ref appTerm 4258 def betaConv 4004 ref 749 ref 734 ref 68 ref 4228 remove appTerm 4039 ref 4006 ref appTerm appTerm absTerm appTerm absTerm 4259 def 3906 ref appTerm 4260 def betaConv 4206 remove 69 ref appTerm 4261 def betaConv nil 4248 remove 84 ref 4261 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 4210 remove 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 66 ref 4259 ref appTerm nil cons cons 84 ref 4260 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 4259 remove nil cons cons 2556 ref 3906 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 749 ref 4257 ref appTerm nil cons cons 84 ref 4258 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 4257 remove nil cons cons 776 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 4234 remove cons 121 ref 4236 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 119 ref 4208 remove cons 121 ref 4199 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp 1078 ref 4003 ref 2527 ref 4004 ref nil 83 ref 4211 ref cons 4262 def 84 ref 4083 ref 4053 ref appTerm 4263 def nil cons 4264 def cons nil cons 4265 def cons nil cons cons 4266 def 975 ref subst 4266 ref 100 ref subst 4266 remove 157 ref subst nil 83 ref 4068 ref nil cons 4267 def cons 4268 def 4218 ref cons nil cons cons 4269 def 100 ref subst 4270 def 4269 ref 157 ref subst 4271 def nil 4262 ref 4218 remove cons nil cons cons 4272 def 144 ref subst nil 4268 ref 84 ref 68 ref 4203 ref appTerm 4273 def 4053 ref appTerm 4274 def nil cons 4275 def cons nil cons 4276 def cons nil cons cons 144 ref subst nil 773 ref 734 ref 68 ref 4185 ref appTerm 4274 ref appTerm 4277 def absTerm nil cons cons nil cons nil cons cons 1412 ref subst 734 ref nil 24 ref 4277 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4185 ref nil cons 4278 def cons 4276 ref cons nil cons cons 4279 def 100 ref subst 4279 remove 157 ref subst 4186 ref 4185 remove assume eqMp nil 4216 remove 4276 remove cons nil cons cons 4280 def 144 ref subst proveHyp 4280 ref 100 ref subst 4280 remove 157 ref subst 4272 ref 100 ref subst 4272 remove 157 ref subst 4219 remove 144 ref subst 4202 remove 735 ref appTerm 4281 def betaConv nil 4262 remove 84 ref 4281 remove nil cons cons nil cons cons nil cons cons 144 ref subst 772 ref 4212 remove 776 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 4211 ref cons 4282 def 4244 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 4245 remove 121 ref 4275 remove cons nil cons 4283 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 4278 remove cons 4283 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 749 ref 774 ref 68 ref 4067 remove 774 ref varTerm 4284 def appTerm appTerm 4274 ref appTerm absTerm appTerm nil cons cons 84 ref 4083 ref 4274 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 4189 remove cons 4285 def 4283 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp nil 119 ref 4267 ref cons 4244 remove cons nil cons cons 135 ref subst 4286 def deductAntisym eqMp eqMp nil 4282 remove 121 ref 4264 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 4273 remove 4263 ref appTerm nil cons cons 84 ref 68 ref 4263 ref appTerm 4203 remove appTerm nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 83 ref 4264 ref cons 84 ref 4211 ref cons nil cons cons nil cons cons 4287 def 100 ref subst 4287 remove 157 ref subst 4213 remove 734 ref 4214 remove 4220 remove 4221 remove 4186 ref sym 4225 remove eqMp 772 ref 4285 ref 776 ref cons nil cons cons 360 ref subst proveHyp 4269 remove 144 ref subst proveHyp 4263 ref assume eqMp eqMp 4246 remove deductAntisym eqMp eqMp absThm eqMp eqMp nil 119 ref 4264 ref cons 121 ref 4211 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp absThm appThm absThm appThm trans sym 4288 def nil 150 ref 4003 ref 66 ref 4004 ref 4263 remove absTerm 4289 def appTerm 4290 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 4003 ref nil 24 ref 4290 remove nil cons cons nil cons nil cons cons 33 ref subst nil 2541 ref 4289 remove nil cons cons nil cons nil cons cons 2542 ref subst 4004 ref nil 24 ref 4264 remove cons nil cons nil cons cons 33 ref subst 4270 remove 4271 remove 4062 ref refl 4032 remove 4006 ref appTerm betaConv appThm 26 ref 0 ref 47 ref 65 ref nil cons cons opType constTerm 4291 def 4052 remove appTerm refl 4033 ref 4008 ref appTerm betaConv appThm 4034 remove assume 4222 remove appThm eqMp 4006 ref refl 4292 def appThm eqMp 4293 def sym nil 147 ref 4030 ref nil cons cons 4294 def nil cons nil cons cons 3999 ref subst 4005 ref nil 24 ref 4029 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4027 remove nil cons 4295 def cons 4296 def 84 ref 4022 ref nil cons 4297 def cons nil cons 4298 def cons nil cons cons 4299 def 100 ref subst 4299 ref 157 ref subst nil 4268 ref 4298 ref cons nil cons cons 144 ref subst 4024 ref 4006 ref appTerm 4300 def betaConv 4026 ref 4008 ref appTerm 4301 def betaConv nil 4296 ref 84 ref 4301 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 4026 remove nil cons cons 4129 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4025 remove nil cons cons 84 ref 4300 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 4024 remove nil cons cons 4132 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4023 ref nil cons cons 84 ref 4083 remove 4022 ref appTerm 4302 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 4085 remove 4006 ref appTerm 4303 def betaConv 4087 remove 4008 ref appTerm 4304 def betaConv nil 4128 remove nil cons nil cons cons 222 ref subst 4003 ref nil 24 ref 4130 remove cons nil cons nil cons cons 33 ref subst nil 4131 remove nil cons nil cons cons 2542 ref subst 4004 ref 4125 remove nil 83 ref 4217 ref cons 4305 def 4298 remove cons nil cons cons 4306 def 100 ref subst 4306 ref 157 ref subst 4299 remove 144 ref subst 4030 remove 4013 ref appTerm 4307 def betaConv nil 4305 ref 84 ref 4031 ref nil cons 4308 def cons nil cons cons nil cons cons 4309 def 144 ref subst 4293 remove nil 83 ref 4062 remove 4031 ref appTerm nil cons cons 84 ref 4054 ref 4031 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 4309 remove 440 remove subst eqMp eqMp nil 83 ref 4308 remove cons 84 ref 4307 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 4294 remove 148 ref 4013 ref nil cons 4310 def cons nil cons 4311 def cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 4217 remove cons 121 ref 4297 ref cons nil cons 4312 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp 4313 def 4099 remove 144 ref subst proveHyp 4090 remove 4013 ref appTerm 4314 def betaConv 4092 ref 510 ref appTerm 4315 def betaConv nil 83 ref 78 ref 4092 ref appTerm nil cons cons 4316 def 84 ref 4315 remove nil cons cons nil cons cons nil cons cons 144 ref subst 146 ref 4093 ref 148 ref 510 ref nil cons 4317 def cons nil cons 4318 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4094 remove cons 84 ref 4314 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 4095 remove 4311 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp nil 83 ref 4098 remove cons 84 ref 4304 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 4100 remove 4129 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4101 remove cons 84 ref 4303 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 4102 remove 4132 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4103 remove cons 84 ref 68 ref 4023 remove appTerm 4302 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 4268 remove 84 ref 4021 ref nil cons cons 917 ref 4297 remove cons nil cons cons cons nil cons cons nil 964 ref 84 ref 926 remove 928 ref appTerm nil cons 4319 def cons nil cons cons nil cons cons 4320 def 100 ref subst 4320 remove 157 ref subst nil 83 ref 925 ref nil cons 4321 def cons 84 ref 928 remove nil cons 4322 def cons nil cons cons nil cons cons 4323 def 100 ref subst 4323 remove 157 ref subst nil 1695 remove 84 ref 2149 ref cons nil cons 4324 def cons nil cons cons 4325 def 100 ref subst 4325 remove 157 ref subst 143 remove nil 967 remove 4324 ref cons nil cons cons 144 ref subst 4326 def proveHyp 925 ref assume eqMp eqMp nil 120 ref 121 ref 2149 remove cons nil cons 4327 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 4321 ref cons 121 ref 4322 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 972 ref 121 ref 4319 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp 4328 def subst eqMp eqMp eqMp eqMp nil 119 ref 4295 remove cons 4329 def 4312 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 4286 remove deductAntisym eqMp 4330 def eqMp absThm eqMp eqMp absThm eqMp 4331 def eqMp nil 4200 remove 84 ref 4074 remove nil cons 4332 def cons nil cons cons nil cons cons 157 ref subst proveHyp 78 ref refl 4333 def 4005 ref 182 ref nil 507 ref 4310 remove cons nil cons nil cons cons 4288 remove subst appThm 4059 ref refl appThm absThm appThm nil 147 ref 4005 ref 4028 remove 4059 remove appTerm 4334 def absTerm 4335 def nil cons cons 4336 def nil cons nil cons cons 3999 ref subst 4005 ref nil 24 ref 4334 remove nil cons cons nil cons nil cons cons 33 ref subst nil 4296 remove 84 ref 4096 ref cons nil cons 4337 def cons nil cons cons 4338 def 100 ref subst 4338 remove 157 ref subst 4313 remove eqMp nil 4329 remove 121 ref 4096 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp 4339 def nil 83 ref 78 ref 4335 ref appTerm nil cons 4340 def cons 4341 def 84 ref 4073 ref nil cons 4342 def cons nil cons 4343 def cons nil cons cons 157 ref subst proveHyp nil 150 ref 4072 ref nil cons cons 4344 def nil cons nil cons cons 222 ref subst 4003 ref nil 24 ref 4071 remove nil cons 4345 def cons nil cons nil cons cons 33 ref subst nil 2541 ref 4070 ref nil cons cons 4346 def nil cons nil cons cons 2542 ref subst 4004 ref nil 24 ref 4069 remove nil cons cons nil cons nil cons cons 33 ref subst nil 4305 ref 84 ref 4267 remove cons nil cons cons nil cons cons 4347 def 975 ref subst 4004 ref 4054 ref 4068 ref appTerm 4348 def absTerm 4349 def 4006 ref appTerm 4350 def betaConv 4003 ref 66 ref 4349 ref appTerm 4351 def absTerm 4352 def 4008 ref appTerm 4353 def betaConv 1078 ref 4003 ref 2527 ref 4004 ref 4054 ref refl 27 ref 4003 ref 4004 ref 4068 ref absTerm 4354 def absTerm 4355 def 4008 ref appTerm 4356 def 4006 ref appTerm 4357 def appTerm refl 4354 remove 4006 ref appTerm betaConv appThm 4356 remove betaConv 4292 remove appThm eqMp 4358 def appThm absThm appThm absThm appThm 1078 ref 4003 ref 2527 ref 4004 ref 68 ref 1117 ref 734 ref 4010 ref 63 ref 452 ref 4012 remove 4355 ref 455 ref appTerm 3819 ref appTerm appTerm absTerm appTerm appTerm absTerm appTerm appTerm 4359 def refl 4358 ref appThm absThm appThm absThm appThm sym 1078 ref 4003 ref 2527 ref 4004 ref 182 ref 4358 remove appThm 4053 ref refl 4360 def appThm absThm appThm absThm appThm sym 4331 remove eqMp nil 83 ref 63 ref 4003 ref 66 ref 4004 ref 68 ref 4357 ref appTerm 4361 def 4053 ref appTerm absTerm appTerm absTerm appTerm nil cons cons 84 ref 63 ref 4003 ref 66 ref 4004 ref 4359 ref 4068 remove appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 4005 ref 68 ref 63 ref 4003 ref 66 ref 4004 ref 4361 remove 4022 ref appTerm absTerm appTerm absTerm appTerm appTerm 63 ref 4003 ref 66 ref 4004 ref 4359 ref 4021 remove appTerm absTerm appTerm absTerm appTerm appTerm absTerm 4362 def 510 ref appTerm 4363 def betaConv 4092 remove 4355 ref appTerm 4364 def betaConv nil 4316 remove 84 ref 4364 remove nil cons cons nil cons cons nil cons cons 144 ref subst 146 ref 4093 remove 148 ref 4355 ref nil cons cons nil cons 4365 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 78 ref 4362 ref appTerm nil cons cons 84 ref 4363 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 147 ref 4362 remove nil cons cons 4318 remove cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 83 ref 63 ref 4003 ref 66 ref 4004 ref 4359 remove 4357 ref appTerm absTerm appTerm absTerm appTerm nil cons cons 84 ref 63 ref 4003 ref 66 ref 4004 ref 4054 remove 4357 remove appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 4335 remove 4355 remove appTerm 4366 def betaConv 4339 remove nil 4341 remove 84 ref 4366 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 4336 remove 4365 remove cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 83 ref 63 ref 4352 ref appTerm nil cons cons 84 ref 4353 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 4352 remove nil cons cons 4129 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4351 remove nil cons cons 84 ref 4350 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 4349 remove nil cons cons 4132 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4348 remove nil cons cons 4265 remove cons nil cons cons 157 ref subst proveHyp 4330 remove eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 4367 def eqMp nil 119 ref 4340 remove cons 121 ref 4342 ref cons nil cons 4368 def cons nil cons cons 135 ref subst proveHyp eqMp nil 83 ref 4061 ref nil cons 4369 def cons 4370 def 4343 remove cons nil cons cons 157 ref subst proveHyp 4367 remove eqMp eqMp proveHyp eqMp eqMp nil 119 ref 4079 remove cons 121 ref 4080 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 78 ref 148 ref 68 ref 701 remove 148 ref varTerm 4371 def appTerm 4372 def 4033 ref appTerm appTerm 4076 ref 4371 ref appTerm 4373 def appTerm absTerm appTerm nil cons cons 84 ref 3961 ref 4076 ref appTerm 4374 def nil cons 4375 def cons nil cons cons nil cons cons 144 ref subst proveHyp 507 ref 68 ref 78 ref 148 ref 68 ref 4372 remove 510 ref appTerm appTerm 4376 def 4373 ref appTerm absTerm appTerm appTerm 4374 ref appTerm absTerm 4377 def 4033 ref appTerm 4378 def betaConv 147 ref 78 ref 507 ref 68 ref 78 ref 148 ref 4376 remove 147 ref varTerm 4379 def 4371 ref appTerm appTerm absTerm appTerm appTerm 3961 remove 4379 remove appTerm appTerm absTerm appTerm absTerm 4380 def 4076 ref appTerm 4381 def betaConv 3998 remove 948 ref 150 ref 1078 ref 2772 ref 68 ref 63 ref 64 ref 68 ref 637 ref 2773 ref appTerm appTerm 154 ref appTerm absTerm 4382 def appTerm 4383 def appTerm 4384 def refl 338 remove appThm absThm appThm absThm appThm sym nil 540 ref 150 ref 63 ref 2772 ref 4384 remove 425 remove appTerm 4385 def absTerm 4386 def appTerm 4387 def absTerm nil cons cons nil cons nil cons cons 978 ref subst 150 ref nil 24 ref 4387 remove nil cons cons nil cons nil cons cons 33 ref subst nil 150 ref 4386 remove nil cons cons nil cons nil cons cons 222 ref subst 2772 remove nil 24 ref 4385 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4383 remove nil cons 4388 def cons 4389 def 427 remove cons nil cons cons 4390 def 100 ref subst 4390 remove 157 ref subst 345 remove 84 ref nil 24 ref 422 ref nil cons 4391 def cons nil cons nil cons cons 33 ref subst nil 83 ref 421 remove nil cons 4392 def cons 4393 def 968 ref cons nil cons cons 4394 def 100 ref subst 4395 def 4394 ref 157 ref subst 4396 def 64 ref 154 remove absTerm 4397 def 2773 ref appTerm betaConv sym 2773 ref refl nil 83 ref 2774 remove 2773 ref appTerm nil cons cons 84 ref 151 ref 2773 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 64 ref 2804 remove cons nil cons 4398 def nil cons cons 4382 ref 69 ref appTerm 4399 def betaConv nil 4389 remove 84 ref 4399 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 4382 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp eqMp 355 ref 150 ref 4397 ref nil cons cons 4400 def 4398 remove cons nil cons cons 360 ref subst proveHyp nil 83 ref 331 ref 4397 ref appTerm 4401 def nil cons 4402 def cons 4403 def 968 ref cons nil cons cons 4404 def 144 ref subst proveHyp 4404 ref 100 ref subst 4404 remove 157 ref subst 4394 remove 144 ref subst nil 4403 remove 84 ref 4391 ref cons nil cons 4405 def cons nil cons cons 144 ref subst nil 150 ref 64 ref 68 ref 4397 ref 69 ref appTerm 4406 def appTerm 422 ref appTerm 4407 def absTerm 4408 def nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 4407 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4406 ref nil cons 4409 def cons 4405 ref cons nil cons cons 4410 def 100 ref subst 4410 remove 157 ref subst nil 784 ref 1950 ref cons 4411 def 3717 remove cons nil cons cons 785 remove 355 ref cons 43 ref cons 255 ref 739 ref 64 ref 740 ref absTerm 256 ref appTerm appTerm 735 ref 256 ref appTerm 4412 def appTerm absTerm 4413 def 256 ref appTerm 4414 def betaConv 734 ref 63 ref 4413 ref appTerm 4415 def absTerm 4416 def 735 ref appTerm 4417 def betaConv nil 749 ref 4416 ref appTerm 4418 def axiom nil 83 ref 4418 remove nil cons cons 84 ref 4417 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 4416 remove nil cons cons 776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4415 remove nil cons cons 84 ref 4414 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 4413 remove nil cons cons 767 ref cons nil cons cons 173 ref subst eqMp eqMp subst 4419 def subst 4420 def 4406 remove assume eqMp nil 351 ref 4405 remove cons nil cons cons 4421 def 144 ref subst proveHyp 4421 ref 100 ref subst 4421 remove 157 ref subst 4395 remove 4396 remove nil 351 remove 968 remove cons nil cons cons 144 ref subst 420 ref 69 ref appTerm 4422 def betaConv nil 4393 remove 84 ref 4422 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 420 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 4392 remove cons 122 ref cons nil cons cons 135 ref subst 4423 def deductAntisym eqMp eqMp nil 119 ref 155 ref cons 121 ref 4391 remove cons nil cons 4424 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 4409 remove cons 4424 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 63 ref 4408 remove appTerm nil cons cons 84 ref 68 ref 4401 ref appTerm 422 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 4400 remove 4424 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp nil 119 ref 4402 ref cons 122 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp 4423 remove deductAntisym eqMp eqMp absThm eqMp eqMp nil 119 ref 4388 remove cons 121 ref 426 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp subst nil 83 ref 60 ref 0 ref 77 ref 3 ref cons opType constTerm 4380 ref appTerm nil cons cons 84 ref 4381 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 52 remove cons nil cons "P" 77 remove var 4380 remove nil cons cons "x" 51 remove var 4076 remove nil cons 4425 def cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 78 ref 4377 ref appTerm nil cons cons 84 ref 4378 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 147 ref 4377 remove nil cons cons 148 ref 4033 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp nil 83 ref 4375 remove cons 3926 ref cons nil cons cons 144 ref subst proveHyp nil 147 ref 507 ref 68 ref 4077 ref appTerm 3924 ref appTerm 4426 def absTerm nil cons cons nil cons nil cons cons 3999 ref subst 507 remove nil 24 ref 4426 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4080 ref cons 3926 ref cons nil cons cons 4427 def 100 ref subst 4427 remove 157 ref subst 4082 remove 4077 remove assume eqMp nil 83 ref 4075 remove nil cons 4428 def cons 3926 ref cons nil cons cons 4429 def 144 ref subst proveHyp 4429 ref 100 ref subst 4429 remove 157 ref subst nil 4247 remove 121 ref 4332 remove cons nil cons cons nil cons cons 4430 def 135 ref subst 4430 remove 581 ref subst nil 119 ref 4369 remove cons 4368 remove cons nil cons cons 4431 def 135 ref subst 4431 remove 581 ref subst nil 150 ref 64 ref 68 ref 63 ref 255 ref 259 ref 1153 ref 65 ref constTerm 4432 def 67 ref 510 ref 256 ref appTerm 4433 def 71 ref appTerm 4434 def absTerm 4435 def appTerm 4436 def appTerm absTerm appTerm 4437 def appTerm 4432 ref 67 ref 4039 ref 71 ref appTerm 4438 def absTerm 4439 def appTerm 4440 def appTerm 4441 def absTerm 4442 def nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 4441 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4437 ref nil cons 4443 def cons 84 ref 4440 ref nil cons 4444 def cons nil cons cons nil cons cons 4445 def 100 ref subst 4445 remove 157 ref subst 4432 ref refl 67 ref nil 4004 ref 3729 remove cons 4003 ref 356 ref cons nil cons cons nil cons cons 4070 remove 4006 ref appTerm 4446 def betaConv 4072 remove 4008 ref appTerm 4447 def betaConv nil 83 ref 4342 remove cons 84 ref 4447 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 4344 remove 4129 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4345 remove cons 84 ref 4446 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 4346 remove 4132 remove cons nil cons cons 173 ref subst eqMp eqMp subst absThm appThm sym nil 773 ref 734 ref 63 ref 64 ref 68 ref 63 ref 452 ref 3818 ref 3929 ref appTerm absTerm appTerm appTerm 3933 ref appTerm absTerm appTerm 4448 def absTerm 4449 def nil cons cons nil cons nil cons cons 1412 ref subst 734 ref nil 24 ref 4448 remove nil cons cons nil cons nil cons cons 33 ref subst nil 150 ref 789 ref 68 ref 63 ref 452 ref 68 ref 3816 ref 790 ref appTerm appTerm 4450 def 3929 ref appTerm 4451 def absTerm 4452 def appTerm 4453 def appTerm 58 ref 790 ref appTerm 3905 ref 790 ref appTerm 4454 def appTerm 4455 def appTerm 4456 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 789 ref nil 24 ref 4456 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4453 remove nil cons 4457 def cons 4458 def 84 ref 4455 ref nil cons 4459 def cons nil cons 4460 def cons nil cons cons 4461 def 100 ref subst 4461 remove 157 ref subst 64 ref 68 ref 63 ref 452 ref 3818 ref 10 ref 3820 remove 3819 remove appTerm appTerm 3929 ref appTerm 4462 def appTerm absTerm appTerm appTerm 4252 remove 3933 ref appTerm appTerm absTerm 4463 def 790 ref appTerm 4464 def betaConv 3935 ref 735 ref appTerm 4465 def betaConv 3937 ref 735 ref appTerm 4466 def betaConv nil 4001 ref 84 ref 4466 remove nil cons cons nil cons cons nil cons cons 144 ref subst 772 ref 773 ref 3937 remove nil cons cons 776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3936 remove nil cons cons 84 ref 4465 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 3935 remove nil cons cons 776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 4463 ref appTerm nil cons cons 84 ref 4464 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 4463 remove nil cons cons 64 ref 791 remove cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 63 ref 452 ref 4450 ref 4462 remove appTerm absTerm appTerm appTerm 10 ref 739 ref 4454 ref appTerm 4454 ref appTerm appTerm 4455 ref appTerm appTerm nil cons cons 4460 remove cons nil cons cons 144 ref subst proveHyp 182 ref 182 ref 1078 ref 452 ref 4450 ref refl 23 ref nil 2556 ref 4123 remove cons nil cons nil cons cons 3243 ref subst appThm 3929 ref refl appThm nil 24 ref 3929 ref nil cons 4467 def cons nil cons nil cons cons 324 ref subst trans appThm nil 24 ref 4451 remove nil cons cons nil cons nil cons cons 33 ref subst 4452 ref 455 ref appTerm 4468 def betaConv nil 4458 remove 84 ref 4468 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 4452 remove nil cons cons 64 ref 4124 remove cons nil cons 4469 def cons nil cons cons 173 ref subst eqMp eqMp eqMp trans absThm appThm 1525 ref trans appThm 23 ref nil 2556 ref 4454 remove nil cons cons nil cons nil cons cons 3243 ref subst appThm 4455 remove refl 4470 def appThm nil 24 ref 4459 ref cons nil cons nil cons cons 4471 def 324 ref subst trans appThm 4471 ref 1063 ref subst trans appThm 4470 remove appThm 4471 remove 1093 ref subst trans sym 32 ref eqMp eqMp eqMp nil 119 ref 4457 remove cons 121 ref 4459 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 83 ref 749 ref 4449 remove appTerm nil cons cons 84 ref 63 ref 64 ref 66 ref 67 ref 68 ref 4438 ref appTerm 74 ref appTerm absTerm appTerm absTerm appTerm 4472 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 4005 ref 174 ref cons nil cons nil cons cons 4060 ref 4013 ref appTerm 4473 def betaConv nil 4370 remove 84 ref 4473 remove nil cons cons nil cons cons nil cons cons 144 ref subst 146 ref 147 ref 4060 remove nil cons cons 4311 remove cons nil cons cons 173 ref subst eqMp eqMp subst eqMp nil 83 ref 4432 remove 67 ref 1117 ref 734 ref 10 ref 3719 ref 3906 ref appTerm 4474 def appTerm 4475 def 4038 remove appTerm absTerm 4476 def appTerm absTerm 4477 def appTerm 4478 def nil cons cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 4478 remove appTerm 4479 def nil cons 4480 def cons 1032 ref cons nil cons cons 4481 def 100 ref subst 4481 remove 157 ref subst nil 2541 ref 4477 ref nil cons cons nil cons nil cons cons 1576 ref 123 ref 932 ref 1177 remove refl 1958 remove appThm 4482 def appThm appThm 901 ref 2319 remove appTerm 4483 def 331 ref 64 ref 331 ref 255 ref 1182 remove 10 ref 1183 ref appTerm 820 ref 760 ref appTerm 4484 def appTerm appTerm absTerm appTerm absTerm appTerm appTerm 4485 def refl 4486 def appThm sym 123 ref 932 ref 1193 ref 4397 ref refl 4487 def appThm 1192 remove 4397 ref appTerm betaConv 10 ref 4401 remove appTerm 4488 def refl 4489 def 1078 ref 64 ref 1078 ref 255 ref 182 ref 23 ref 4420 ref appThm nil 4411 remove nil cons nil cons cons 4419 remove subst 4490 def appThm appThm 757 ref refl 4491 def appThm absThm appThm absThm appThm appThm trans trans appThm nil 983 ref 1194 remove cons 984 ref 4402 remove cons nil cons cons nil cons cons 983 ref 27 ref 820 ref 1066 ref appTerm appTerm 901 ref 820 ref 986 ref appTerm appTerm 989 remove appTerm appTerm absTerm 4492 def 987 ref appTerm 4493 def betaConv 984 ref 311 ref 4492 ref appTerm 4494 def absTerm 4495 def 986 ref appTerm 4496 def betaConv nil 311 ref 4495 ref appTerm 4497 def axiom nil 83 ref 4497 remove nil cons cons 84 ref 4496 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4495 remove nil cons cons 996 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4494 remove nil cons cons 84 ref 4493 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4492 remove nil cons cons 997 ref cons nil cons cons 173 ref subst eqMp eqMp subst 1874 ref 2320 remove appThm 123 ref 932 ref 1078 ref 64 ref 1186 ref 69 ref appTerm betaConv 4498 def absThm appThm appThm appThm 1022 ref 64 ref 932 ref 4498 remove appThm absThm appThm appThm nil 161 ref 1186 remove nil cons cons nil cons nil cons cons 957 ref subst eqMp 1022 ref 64 ref 123 ref 932 ref 1078 ref 255 ref 1185 ref 256 ref appTerm betaConv 4499 def absThm appThm appThm appThm 1022 ref 255 ref 932 ref 4499 remove appThm absThm appThm appThm nil 161 ref 1185 remove nil cons cons nil cons nil cons cons 957 remove subst eqMp 1022 ref 255 ref nil 983 ref 2386 ref cons 984 ref 1184 ref nil cons cons nil cons cons nil cons cons 998 ref subst absThm appThm trans absThm appThm trans appThm trans trans appThm 4486 remove appThm sym nil 754 remove 4485 remove nil cons cons 315 ref 4483 ref 331 ref 64 ref 331 ref 255 ref 10 ref 1184 remove appTerm 4500 def 2376 ref appTerm absTerm appTerm absTerm appTerm appTerm 4501 def nil cons cons nil cons 4502 def cons nil cons cons 769 remove subst 123 ref 4483 remove refl 1022 ref 64 ref 1022 ref 255 ref nil 2148 ref 4484 remove nil cons cons 983 ref 1183 ref nil cons cons 984 ref 155 remove cons nil cons cons cons nil cons cons 2148 ref 27 ref 988 remove 1067 remove 2151 ref appTerm appTerm 4503 def appTerm 10 ref 1066 remove appTerm 2151 ref appTerm 4504 def appTerm 4505 def absTerm 4506 def 2151 remove appTerm 4507 def betaConv 983 ref 311 ref 4506 ref appTerm 4508 def absTerm 4509 def 987 remove appTerm 4510 def betaConv 984 ref 311 ref 4509 ref appTerm 4511 def absTerm 4512 def 986 remove appTerm 4513 def betaConv 2163 ref 984 ref 2163 ref 983 ref 2163 remove 2148 ref 4505 remove assume sym 27 ref 4504 remove appTerm 4503 remove appTerm 4514 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 311 ref 984 ref 311 ref 983 ref 311 ref 2148 ref 4514 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 83 ref 311 ref 4512 ref appTerm nil cons cons 84 ref 4513 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4512 remove nil cons cons 996 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4511 remove nil cons cons 84 ref 4510 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4509 remove nil cons cons 997 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4508 remove nil cons cons 84 ref 4507 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4506 remove nil cons cons 2172 remove cons nil cons cons 173 ref subst eqMp eqMp subst 4500 remove refl 932 ref nil 2375 remove 767 ref cons nil cons cons 768 remove subst 4515 def appThm appThm trans absThm appThm absThm appThm appThm appThm 4501 remove refl appThm nil 4502 remove nil cons cons 805 ref subst trans trans sym 32 ref eqMp eqMp eqMp 4516 def subst subst 1874 ref 2527 ref 67 ref 932 ref 4477 ref 71 ref appTerm betaConv 4517 def appThm nil 773 ref 4476 ref nil cons cons nil cons nil cons cons 1411 ref 2321 ref subst 4518 def subst 753 ref 734 ref 932 ref 4476 remove 735 ref appTerm betaConv appThm nil 83 ref 4474 ref nil cons cons 4251 remove cons nil cons cons 1941 ref subst 1874 ref 820 ref 4474 ref appTerm 4519 def refl appThm 4520 def nil 150 ref 4037 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 452 ref 932 ref 4037 remove 455 ref appTerm betaConv appThm nil 83 ref 3817 ref nil cons 4521 def cons 4522 def 84 ref 4137 remove cons nil cons 4523 def cons nil cons cons 4524 def 1988 ref subst trans absThm appThm trans 4525 def appThm trans trans absThm appThm trans trans absThm appThm appThm 1116 ref refl 4526 def 67 ref 4526 ref "y'" 46 ref var 4527 def 23 ref 4517 remove 3900 ref 734 ref 23 ref 4474 remove refl appThm 1078 ref 452 ref 4524 remove 1910 ref subst absThm appThm appThm absThm appThm 4528 def trans appThm 23 ref 4477 remove 4527 ref varTerm 4529 def appTerm betaConv nil 67 ref 4529 ref nil cons 4530 def cons nil cons nil cons cons 4528 remove subst trans appThm 820 ref 739 ref 4529 ref appTerm 4531 def 71 ref appTerm 4532 def appTerm 4533 def refl 4534 def appThm appThm absThm appThm absThm appThm appThm trans 901 ref 66 ref 67 ref 749 ref 734 ref 901 ref 4519 ref appTerm 4535 def 331 ref 452 ref 10 ref 3817 ref appTerm 4536 def 820 ref 4036 ref appTerm 4537 def appTerm 4538 def absTerm 4539 def appTerm appTerm absTerm appTerm absTerm appTerm appTerm refl 4526 ref 67 ref 123 ref 4526 ref 4527 ref 10 ref 1117 ref 734 ref 4475 remove 63 ref 452 ref 901 ref 820 ref 3817 ref appTerm 4540 def appTerm 4541 def 4036 ref appTerm absTerm appTerm 4542 def appTerm 4543 def absTerm 4544 def appTerm 4545 def appTerm refl 4546 def 4527 ref 10 ref 1117 ref 734 ref 10 ref 4531 ref 3906 remove appTerm appTerm 4542 remove appTerm 4547 def absTerm 4548 def appTerm appTerm 4533 ref appTerm absTerm 4549 def 4529 ref appTerm betaConv 4550 def appThm absThm appThm appThm 4546 ref 4526 ref 4527 ref 4550 remove absThm appThm appThm appThm nil "q" 47 ref var 4551 def 4549 remove nil cons cons 83 ref 4545 remove nil cons cons nil cons cons nil cons cons 1576 ref 1446 ref 27 ref 2346 remove appTerm 2344 remove appTerm absTerm 4552 def 1447 ref appTerm 4553 def betaConv 83 ref 254 ref 4552 ref appTerm 4554 def absTerm 4555 def 85 ref appTerm 4556 def betaConv nil 311 ref 4555 ref appTerm 4557 def axiom nil 83 ref 4557 remove nil cons cons 84 ref 4556 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4555 remove nil cons cons 1776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4554 remove nil cons cons 84 ref 4553 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 4552 remove nil cons cons 1458 ref cons nil cons cons 173 ref subst eqMp eqMp 4558 def subst subst eqMp absThm appThm appThm 1874 ref 2527 ref 67 ref 753 ref 734 ref 123 ref 4520 ref 1022 ref 452 ref 4539 ref 455 ref appTerm betaConv 4559 def absThm appThm 4560 def appThm appThm 1022 ref 452 ref 4520 remove 4559 ref appThm absThm appThm appThm nil 1446 ref 4539 remove nil cons 4561 def cons 83 ref 4519 remove nil cons cons nil cons cons nil cons cons 2006 ref subst eqMp absThm appThm 123 ref 753 ref 734 ref 1022 ref 452 ref 734 ref 452 ref 4535 ref 4538 ref appTerm absTerm 4562 def absTerm 4563 def 735 ref appTerm betaConv 4564 def 2401 ref appThm 4562 ref 455 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 728 ref 353 ref cons opType 4565 def 3 ref cons opType 4566 def 3 ref cons opType 4567 def constTerm 4568 def refl 4569 def "f" 4565 ref var 4570 def 753 ref 734 ref 4564 remove 4570 ref varTerm 4571 def 735 ref appTerm 4572 def refl 4573 def appThm 4562 remove 4572 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 728 ref 246 ref cons opType var 4574 def 4563 remove nil cons cons nil cons nil cons cons 1115 ref 772 ref cons 43 ref cons 1121 ref subst 4575 def subst eqMp trans absThm appThm 123 ref 2527 ref 67 ref 4569 ref 4570 ref 67 ref 4570 ref 749 ref 734 ref 4535 ref 10 ref 251 ref 4572 ref appTerm 4576 def 69 ref appTerm appTerm 820 ref 510 ref 4572 ref appTerm 735 ref 4572 ref appTerm 4577 def appTerm appTerm 4578 def appTerm appTerm absTerm appTerm absTerm 4579 def absTerm 4580 def 71 ref appTerm betaConv 4581 def 4571 ref refl 4582 def appThm 4579 ref 4571 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 46 ref 4565 ref nil cons 4583 def cons opType 4584 def 3 ref cons opType 4585 def 3 ref cons opType 4586 def constTerm 4587 def refl 4588 def "f" 4584 ref var 4589 def 2527 ref 67 ref 4581 remove 4589 ref varTerm 4590 def 71 ref appTerm 4591 def refl appThm 4579 remove 4591 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 46 ref 4566 ref nil cons 4592 def cons opType var 4593 def 4580 remove nil cons cons nil cons nil cons cons "B" 4583 ref cons 4594 def 1575 ref cons 43 ref cons 1121 ref subst 4595 def subst eqMp trans appThm 4526 ref 67 ref 4546 remove 4526 ref 4527 ref 123 ref 23 ref 3900 ref 734 ref 4548 ref 735 ref appTerm betaConv 4596 def absThm appThm appThm 4534 ref appThm appThm 3900 ref 734 ref 23 ref 4596 remove appThm 4534 ref appThm absThm appThm appThm nil 4188 ref 4548 remove nil cons cons 84 ref 4533 ref nil cons 4597 def cons nil cons cons nil cons cons 1411 ref 2659 ref subst 4598 def subst eqMp absThm appThm appThm 123 ref 23 ref 3900 ref 734 ref 4544 ref 735 ref appTerm betaConv 4599 def absThm appThm appThm 1116 ref 4527 ref 1117 ref 734 ref 10 ref 4547 remove appTerm 4533 ref appTerm absTerm 4600 def appTerm absTerm 4601 def appTerm 4602 def refl 4603 def appThm appThm 3900 ref 734 ref 23 ref 4599 remove appThm 4603 remove appThm absThm appThm appThm nil 4188 ref 4544 remove nil cons cons 84 ref 4602 remove nil cons cons nil cons cons nil cons cons 4598 ref subst eqMp 3900 ref 734 ref 123 ref 10 ref 4543 ref appTerm 4604 def refl 4605 def 4526 ref 4527 ref 4601 ref 4529 ref appTerm betaConv 4606 def absThm appThm appThm appThm 4526 ref 4527 ref 4605 ref 4606 remove appThm absThm appThm appThm nil 4551 ref 4601 remove nil cons cons 83 ref 4543 remove nil cons cons nil cons 4607 def cons nil cons cons 1576 ref 2353 ref subst subst eqMp 4526 ref 4527 ref 123 ref 4605 ref 3900 ref 734 ref 4600 ref 735 ref appTerm betaConv absThm appThm appThm appThm 3900 ref 4253 ref 4605 remove 4600 ref 4254 ref appTerm betaConv appThm absThm appThm appThm nil 4190 ref 4600 remove nil cons cons 4607 remove cons nil cons cons 1411 ref 2353 ref subst 4608 def subst eqMp absThm appThm trans absThm appThm trans trans absThm appThm appThm 123 ref 1874 ref 4588 ref 4589 ref 4589 ref 66 ref 67 ref 749 ref 734 ref 4535 remove 10 ref 251 ref 4591 remove 735 ref appTerm 4609 def appTerm 69 ref appTerm appTerm 820 ref 510 ref 4609 ref appTerm 735 ref 4609 remove appTerm appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm 4610 def absTerm 4611 def 4590 ref appTerm betaConv 4612 def absThm appThm appThm 1116 ref 67 ref 1117 ref 734 ref 1116 ref 4527 ref 1117 ref 4253 ref 4604 remove 10 ref 10 ref 4531 ref 4255 ref appTerm appTerm 63 ref 452 ref 4541 ref 4256 remove appTerm absTerm appTerm 4613 def appTerm appTerm 4533 ref appTerm appTerm 4614 def absTerm 4615 def appTerm absTerm 4616 def appTerm absTerm 4617 def appTerm absTerm 4618 def appTerm 4619 def refl 4620 def appThm appThm 4588 ref 4589 ref 1874 ref 4612 remove appThm 4620 remove appThm absThm appThm appThm nil "p" 4585 ref var 4611 remove nil cons cons 84 ref 4619 remove nil cons cons nil cons cons nil cons cons "A" 4584 ref nil cons 4621 def cons nil cons 4622 def 43 ref cons 4623 def 2027 ref subst subst eqMp 4588 ref 4589 ref 123 ref 901 ref 4610 ref appTerm 4624 def refl 4625 def 4526 ref 67 ref 4618 ref 71 ref appTerm betaConv 4626 def absThm appThm appThm appThm 4526 ref 67 ref 4625 ref 4626 remove appThm absThm appThm appThm nil 4551 ref 4618 remove nil cons cons 83 ref 4610 remove nil cons cons nil cons 4627 def cons nil cons cons 1576 ref 2006 ref subst 4628 def subst eqMp 4526 ref 67 ref 123 ref 4625 ref 3900 ref 734 ref 4617 ref 735 ref appTerm betaConv 4629 def absThm appThm appThm appThm 3900 ref 734 ref 4625 ref 4629 remove appThm absThm appThm appThm nil 4190 ref 4617 remove nil cons cons 4627 ref cons nil cons cons 1411 ref 2006 ref subst 4630 def subst eqMp 3900 ref 734 ref 123 ref 4625 ref 4526 ref 4527 ref 4616 ref 4529 ref appTerm betaConv 4631 def absThm appThm appThm appThm 4526 ref 4527 ref 4625 ref 4631 remove appThm absThm appThm appThm nil 4551 ref 4616 remove nil cons cons 4627 ref cons nil cons cons 4628 ref subst eqMp 4526 ref 4527 ref 123 ref 4625 ref 3900 ref 4253 ref 4615 ref 4254 ref appTerm betaConv 4632 def absThm appThm appThm appThm 3900 ref 4253 ref 4625 remove 4632 remove appThm absThm appThm appThm nil 4190 ref 4615 remove nil cons cons 4627 remove cons nil cons cons 4630 ref subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans trans trans trans 4479 remove assume eqMp nil 83 ref 4587 remove 4589 ref 1116 ref 67 ref 1117 ref 734 ref 1116 ref 4527 ref 1117 ref 4253 ref 4624 ref 4614 remove appTerm absTerm appTerm absTerm appTerm absTerm 4633 def appTerm 4634 def absTerm 4635 def appTerm 4636 def absTerm 4637 def appTerm 4638 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 4585 ref var 4639 def 4589 ref 68 ref 4637 ref 4590 ref appTerm 4640 def appTerm 841 ref appTerm 4641 def absTerm nil cons cons nil cons nil cons cons 4623 remove 222 ref subst subst 4589 ref nil 24 ref 4641 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4640 ref nil cons 4642 def cons 1032 ref cons nil cons cons 4643 def 100 ref subst 4643 remove 157 ref subst 4640 ref betaConv 4640 remove assume eqMp nil 83 ref 4636 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 2541 ref 67 ref 68 ref 4635 ref 71 ref appTerm 4644 def appTerm 841 ref appTerm 4645 def absTerm nil cons cons nil cons nil cons cons 2542 ref subst 67 ref nil 24 ref 4645 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4644 ref nil cons 4646 def cons 1032 ref cons nil cons cons 4647 def 100 ref subst 4647 remove 157 ref subst 4644 ref betaConv 4644 remove assume eqMp nil 83 ref 4634 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 773 ref 4253 ref 68 ref 4633 ref 4254 ref appTerm 4648 def appTerm 841 ref appTerm 4649 def absTerm nil cons cons nil cons nil cons cons 1412 ref subst 4253 ref nil 24 ref 4649 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4648 ref nil cons 4650 def cons 1032 ref cons nil cons cons 4651 def 100 ref subst 4651 remove 157 ref subst 4648 ref betaConv 4648 remove assume eqMp nil 83 ref 1116 ref 4527 ref 1117 ref "f''" 728 ref var 4652 def 4624 remove 10 ref 10 ref 3719 ref 4255 ref appTerm appTerm 4613 remove appTerm appTerm 10 ref 10 ref 4531 ref 3904 ref 4652 ref varTerm 4653 def appTerm 69 ref appTerm appTerm appTerm 63 ref 452 ref 4541 ref 4035 ref 4653 ref 455 ref appTerm appTerm appTerm absTerm appTerm appTerm appTerm 4533 ref appTerm appTerm appTerm 4654 def absTerm 4655 def appTerm 4656 def absTerm 4657 def appTerm 4658 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 2541 ref 4527 ref 68 ref 4657 ref 4529 ref appTerm 4659 def appTerm 841 ref appTerm 4660 def absTerm nil cons cons nil cons nil cons cons 2542 remove subst 4527 ref nil 24 ref 4660 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4659 ref nil cons 4661 def cons 1032 ref cons nil cons cons 4662 def 100 ref subst 4662 remove 157 ref subst 4659 ref betaConv 4659 remove assume eqMp nil 83 ref 4656 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 773 ref 4652 ref 68 ref 4655 ref 4653 ref appTerm 4663 def appTerm 841 ref appTerm 4664 def absTerm nil cons cons nil cons nil cons cons 1412 ref subst 4652 remove nil 24 ref 4664 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4663 ref nil cons 4665 def cons 1032 ref cons nil cons cons 4666 def 100 ref subst 4666 remove 157 ref subst 4663 ref betaConv 4663 remove assume eqMp nil 83 ref 4654 ref nil cons 4667 def cons 1032 ref cons nil cons cons 4668 def 144 ref subst proveHyp 4668 ref 100 ref subst 4668 remove 157 ref subst 1078 ref 255 ref nil 83 ref 1064 remove cons 4669 def 84 ref 4436 remove nil cons cons nil cons cons nil cons cons 1910 ref subst 1874 ref 820 ref 258 ref appTerm 4670 def refl appThm 4671 def nil 2541 ref 4435 ref nil cons 4672 def cons nil cons nil cons cons 1576 ref 123 ref 4482 remove appThm 4488 ref 63 ref 64 ref 63 ref 255 ref 901 ref 1959 remove appTerm 4673 def 901 ref 820 ref 1183 remove appTerm appTerm 4674 def 760 remove appTerm appTerm absTerm appTerm absTerm appTerm appTerm refl 4675 def appThm sym 123 ref 1193 remove 161 ref 1191 ref refl 1078 ref 64 ref 1078 ref 255 ref nil 1605 ref 2386 ref cons 836 ref 1065 ref cons 838 ref 1024 remove cons nil cons cons cons nil cons cons nil 844 ref 84 ref 27 ref 68 ref 10 ref 839 ref appTerm 845 ref appTerm 4676 def appTerm 1606 ref appTerm appTerm 2176 ref 901 ref 846 ref appTerm 1606 ref appTerm 4677 def appTerm appTerm nil cons 4678 def cons nil cons 4679 def cons nil cons cons 4680 def 100 ref subst 4680 remove 157 ref subst 27 ref "_566" 2 ref var 4681 def 27 ref 68 ref 10 ref 4681 remove varTerm 4682 def appTerm 845 ref appTerm appTerm 1606 ref appTerm appTerm 901 ref 820 ref 4682 remove appTerm appTerm 4677 ref appTerm appTerm absTerm 4683 def 839 ref appTerm 4684 def appTerm refl 4685 def 4683 ref 841 ref appTerm betaConv appThm 123 ref 4684 remove betaConv appThm 4686 def 27 ref 68 ref 1921 ref 845 ref appTerm 4687 def appTerm 1606 ref appTerm appTerm 1869 ref 4677 ref appTerm appTerm refl appThm trans 4683 remove refl 4688 def 861 ref appThm eqMp sym 123 ref 182 ref 870 ref 1927 ref subst 4689 def appThm 1606 ref refl 4690 def appThm 2472 ref 1049 ref subst 4691 def trans appThm 1875 ref 4677 ref refl 4692 def appThm nil 24 ref 4677 ref nil cons cons nil cons nil cons cons 4693 def 1880 ref subst trans appThm 1883 ref trans sym 32 ref eqMp eqMp eqMp nil 886 ref 121 ref 4678 ref cons nil cons 4694 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 890 ref 4679 remove cons nil cons cons 4695 def 100 ref subst 4695 remove 157 ref subst 4685 remove "_564" 2 ref var 4696 def 27 ref 68 ref 10 ref 4696 remove varTerm 4697 def appTerm 845 ref appTerm appTerm 1606 ref appTerm appTerm 901 ref 820 ref 4697 remove appTerm appTerm 4677 ref appTerm appTerm absTerm 30 ref appTerm betaConv appThm 4686 remove 27 ref 68 ref 320 ref 845 ref appTerm 4698 def appTerm 1606 ref appTerm appTerm 1893 ref 4677 ref appTerm appTerm refl appThm trans 4688 remove 896 ref appThm eqMp sym 123 ref 182 ref 870 remove 324 ref subst 4699 def appThm 4690 ref appThm appThm 1897 ref 4692 remove appThm 4693 remove 1902 ref subst trans appThm sym nil 83 ref 27 ref 845 ref appTerm 4700 def 841 ref appTerm 4701 def nil cons 4702 def cons 84 ref 27 ref 68 ref 845 ref appTerm 1606 ref appTerm appTerm 4677 remove appTerm nil cons 4703 def cons nil cons 4704 def cons nil cons cons 4705 def 100 ref subst 4705 remove 157 ref subst 27 ref "_570" 2 ref var 4706 def 27 ref 68 ref 4706 remove varTerm 4707 def appTerm 1606 ref appTerm appTerm 901 ref 820 ref 4707 remove appTerm appTerm 1606 ref appTerm appTerm absTerm 4708 def 845 ref appTerm 4709 def appTerm refl 4710 def 4708 ref 841 ref appTerm betaConv appThm 123 ref 4709 remove betaConv appThm 4711 def 27 ref 1035 ref 1606 ref appTerm appTerm 1869 ref 1606 ref appTerm appTerm refl appThm trans 4708 remove refl 4712 def 4701 remove assume appThm eqMp sym 123 ref 4691 remove appThm 1875 ref 4690 ref appThm 2479 ref trans appThm 1883 ref trans sym 32 ref eqMp eqMp eqMp nil 119 ref 4702 ref cons 121 ref 4703 ref cons nil cons 4713 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 4700 remove 30 ref appTerm 4714 def nil cons 4715 def cons 4704 remove cons nil cons cons 4716 def 100 ref subst 4716 remove 157 ref subst 4710 remove "_568" 2 ref var 4717 def 27 ref 68 ref 4717 remove varTerm 4718 def appTerm 1606 ref appTerm appTerm 901 ref 820 ref 4718 remove appTerm appTerm 1606 ref appTerm appTerm absTerm 30 ref appTerm betaConv appThm 4711 remove 27 ref 1059 remove 1606 ref appTerm appTerm 1893 ref 1606 ref appTerm appTerm refl appThm trans 4712 remove 4714 remove assume appThm eqMp sym 123 ref 2472 remove 1063 ref subst appThm 1897 ref 4690 ref appThm 2473 ref trans appThm nil 1620 ref nil cons cons 805 ref subst trans sym 32 ref eqMp eqMp eqMp nil 119 ref 4715 remove cons 4719 def 4713 remove cons nil cons cons 135 ref subst deductAntisym eqMp 902 ref 845 ref appTerm 4720 def betaConv 905 ref nil 906 ref 84 ref 4720 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 907 ref 884 remove cons nil cons cons 173 ref subst eqMp eqMp nil 4719 remove 121 ref 4702 remove cons 911 ref 4703 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 900 ref 4694 remove cons nil cons cons 135 ref subst deductAntisym eqMp 909 ref nil 900 ref 910 ref 911 ref 4678 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp subst absThm appThm absThm appThm appThm absThm trans 4487 remove appThm 161 ref 1191 remove 63 ref 64 ref 63 ref 255 ref 901 ref 952 ref appTerm 901 ref 936 remove appTerm 757 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 4397 remove appTerm betaConv 4489 ref 1078 ref 64 ref 1078 ref 255 ref 1874 ref 932 ref 4420 remove appThm appThm 1874 ref 932 ref 4490 remove appThm appThm 4491 remove appThm appThm absThm appThm absThm appThm appThm trans trans appThm 4675 remove appThm sym 27 ref 4488 remove 63 ref 64 ref 63 ref 255 ref 4673 ref 4674 ref 757 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm 4721 def appTerm refl 4489 remove 1078 ref 64 ref 1078 ref 255 ref 4673 remove refl 4674 remove refl 4515 remove appThm appThm absThm appThm absThm appThm appThm appThm nil 315 ref 4721 remove nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp eqMp eqMp subst 4722 def subst 23 ref 4526 ref 67 ref 4435 ref 71 ref appTerm betaConv 4723 def absThm appThm appThm 4724 def 2527 ref 67 ref 2527 ref 4527 ref 1874 ref 932 ref 4723 ref appThm appThm 1874 ref 932 ref 4435 ref 4529 ref appTerm betaConv appThm appThm 4532 ref refl 4725 def appThm appThm absThm appThm absThm appThm appThm trans appThm trans absThm appThm 1078 ref 255 ref 4671 ref 10 ref 1116 ref 4435 remove appTerm appTerm refl 2527 ref 67 ref 123 ref 2527 ref 4527 ref 901 ref 820 ref 4434 ref appTerm 4726 def appTerm 4727 def refl 4728 def 4527 ref 901 ref 820 ref 4433 ref 4529 ref appTerm appTerm appTerm 4532 ref appTerm absTerm 4729 def 4529 ref appTerm betaConv 4730 def appThm absThm appThm appThm 4728 remove 2527 ref 4527 ref 4730 remove absThm appThm appThm appThm nil 4551 ref 4729 ref nil cons cons 83 ref 4726 remove nil cons cons nil cons cons nil cons cons 1576 ref 1446 ref 27 ref 63 ref 1999 remove appTerm 4731 def appTerm 1997 ref 1451 ref appTerm 4732 def appTerm absTerm 4733 def 1447 ref appTerm 4734 def betaConv 83 ref 254 ref 4733 ref appTerm 4735 def absTerm 4736 def 85 ref appTerm 4737 def betaConv nil 311 ref 4736 ref appTerm 4738 def axiom nil 83 ref 4738 remove nil cons cons 84 ref 4737 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 4736 remove nil cons cons 1776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 4735 remove nil cons cons 84 ref 4734 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 4733 remove nil cons cons 1458 ref cons nil cons cons 173 ref subst eqMp eqMp subst 4739 def subst eqMp absThm appThm appThm appThm absThm appThm 1078 ref 255 ref 4671 ref 123 ref 4724 remove 66 ref 67 ref 4727 remove 66 ref 4729 remove appTerm appTerm absTerm appTerm 4740 def refl 4741 def appThm appThm 4526 ref 67 ref 23 ref 4723 remove appThm 4741 remove appThm absThm appThm appThm nil "p" 47 ref var 4742 def 4672 remove cons 84 ref 4740 ref nil cons cons nil cons cons nil cons cons 1576 ref 2659 ref subst subst eqMp appThm 123 ref 4671 ref 4526 ref 67 ref 67 ref 10 ref 4434 remove appTerm 4740 ref appTerm 4743 def absTerm 4744 def 71 ref appTerm betaConv 4745 def absThm appThm appThm appThm 4526 ref 67 ref 4671 ref 4745 remove appThm absThm appThm appThm nil 4551 ref 4744 remove nil cons cons 83 ref 4670 ref nil cons cons nil cons 4746 def cons nil cons cons 4628 ref subst eqMp trans absThm appThm 123 ref 1078 ref 255 ref 4526 ref 67 ref 255 ref 67 ref 901 ref 4670 remove appTerm 4747 def 4743 remove appTerm absTerm 4748 def absTerm 4749 def 256 ref appTerm betaConv 4750 def 71 ref refl 4751 def appThm 4748 ref 71 ref appTerm betaConv trans absThm appThm absThm appThm appThm 3900 ref 734 ref 1078 ref 255 ref 4750 remove 4412 ref refl appThm 4748 remove 4412 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 55 ref 4749 remove nil cons cons nil cons nil cons cons 1121 ref subst eqMp trans trans trans 4437 remove assume eqMp nil 83 ref 1117 ref 734 ref 63 ref 255 ref 4747 ref 10 ref 4433 ref 4412 ref appTerm appTerm 4740 ref appTerm appTerm absTerm appTerm absTerm 4752 def appTerm 4753 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 773 ref "f'''" 728 ref var 4754 def 68 ref 4752 ref 4754 ref varTerm 4755 def appTerm 4756 def appTerm 841 ref appTerm 4757 def absTerm nil cons cons nil cons nil cons cons 1412 ref subst 4754 remove nil 24 ref 4757 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 4756 ref nil cons 4758 def cons 1032 ref cons nil cons cons 4759 def 100 ref subst 4759 remove 157 ref subst 4756 ref betaConv 4756 remove assume eqMp nil 83 ref 63 ref 255 ref 4747 ref 10 ref 4433 remove 4755 ref 256 ref appTerm appTerm appTerm 4740 remove appTerm appTerm absTerm appTerm 4760 def nil cons 4761 def cons 1032 ref cons nil cons cons 4762 def 144 ref subst proveHyp 4762 ref 100 ref subst 4762 remove 157 ref subst 4333 ref 4005 ref nil 83 ref 4051 remove nil cons cons 4337 remove cons nil cons cons 1910 ref subst 1874 ref nil 773 ref 4050 ref nil cons cons nil cons nil cons cons 1411 ref 1962 ref subst 4763 def subst 3900 ref 734 ref 932 ref 4050 remove 735 ref appTerm betaConv appThm nil 150 ref 4049 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 64 ref 932 ref 4049 remove 69 ref appTerm betaConv appThm nil 83 ref 4046 remove nil cons cons 84 ref 4048 ref nil cons cons nil cons cons nil cons cons 1988 ref subst 23 ref 1078 ref 452 ref nil 4522 ref 84 ref 4134 remove cons nil cons cons nil cons cons 1910 ref subst absThm appThm appThm 820 ref 4048 remove appTerm 4764 def refl appThm trans trans absThm appThm trans trans absThm appThm trans appThm 1078 ref 4003 ref 2527 ref 4004 ref 4306 remove 1910 ref subst absThm appThm absThm appThm appThm trans absThm appThm 4333 ref 4005 ref 123 ref 1874 ref 3900 ref 734 ref 734 ref 331 ref 64 ref 10 ref 63 ref 452 ref 4541 ref 4015 remove appTerm absTerm appTerm appTerm 4764 remove appTerm 4765 def absTerm 4766 def appTerm absTerm 4767 def 735 ref appTerm betaConv 4768 def absThm appThm appThm 63 ref 4003 ref 66 ref 4004 ref 901 ref 820 ref 4053 ref appTerm 4769 def appTerm 4770 def 4022 remove appTerm absTerm appTerm absTerm appTerm 4771 def refl 4772 def appThm appThm 3900 ref 734 ref 1874 ref 4768 remove appThm 4772 ref appThm absThm appThm appThm nil 4188 ref 4767 remove nil cons cons 84 ref 4771 ref nil cons cons nil cons 4773 def cons nil cons cons 1411 ref 2027 ref subst 4774 def subst eqMp 3900 ref 734 ref 123 ref 1874 ref 1022 ref 64 ref 4766 ref 69 ref appTerm betaConv 4775 def absThm appThm appThm 4772 ref appThm appThm 1022 ref 64 ref 1874 ref 4775 remove appThm 4772 remove appThm absThm appThm appThm nil 161 ref 4766 remove nil cons cons 4773 remove cons nil cons cons 2027 ref subst eqMp absThm appThm trans absThm appThm 123 ref 4333 ref 4005 ref 3900 ref 734 ref 4005 ref 734 ref 331 ref 64 ref 901 ref 4765 remove appTerm 4771 ref appTerm absTerm appTerm absTerm 4776 def absTerm 4777 def 4013 ref appTerm betaConv 4778 def 735 ref refl 4779 def appThm 4776 ref 735 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 49 ref 770 ref cons opType 4780 def 3 ref cons opType 4781 def 3 ref cons opType 4782 def constTerm 4783 def refl 4784 def "f" 4780 ref var 4785 def 4333 ref 4005 ref 4778 remove 4785 ref varTerm 4013 ref appTerm 4786 def refl appThm 4776 remove 4786 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 49 ref 731 ref cons opType var 4777 remove nil cons cons nil cons nil cons cons "B" 770 ref cons 4787 def 146 ref cons 43 ref cons 1121 ref subst subst eqMp 4784 remove 4785 ref 123 ref 4333 ref 4005 ref 1022 ref 64 ref 4005 ref 64 ref 901 ref 10 ref 63 ref 452 ref 4541 ref 4014 ref 4786 ref 455 ref appTerm appTerm 4788 def appTerm absTerm appTerm appTerm 820 ref 4047 remove 3904 ref 4786 remove appTerm 4789 def 69 ref appTerm appTerm appTerm appTerm appTerm 4771 ref appTerm absTerm 4790 def absTerm 4791 def 4013 ref appTerm betaConv 4792 def 172 ref appThm 4790 ref 69 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 49 ref 353 ref cons opType 4793 def 3 ref cons opType 4794 def 3 ref cons opType 4795 def constTerm 4796 def refl "f" 4793 ref var 4797 def 4333 remove 4005 ref 4792 remove 4797 ref varTerm 4013 ref appTerm 4798 def refl appThm 4790 remove 4798 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 49 ref 246 ref cons opType var 4791 remove nil cons cons nil cons nil cons cons 1115 ref 146 ref cons 43 ref cons 1121 ref subst subst eqMp absThm appThm trans trans trans 4061 remove assume eqMp nil 83 ref 4783 remove 4785 remove 4796 ref 4797 ref 78 ref 4005 ref 901 ref 10 ref 63 ref 452 ref 901 ref 820 ref 3816 ref 4798 ref appTerm appTerm appTerm 4799 def 4788 remove appTerm absTerm appTerm appTerm 820 ref 4013 ref 4798 ref appTerm 4800 def 4789 remove 4798 ref appTerm appTerm appTerm appTerm appTerm 4771 ref appTerm absTerm appTerm absTerm appTerm absTerm 4801 def appTerm 4802 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp 4803 def nil "P" 4781 remove var 4804 def "f''''" 4780 ref var 4805 def 68 ref 4801 ref 4805 ref varTerm 4806 def appTerm 4807 def appTerm 841 ref appTerm 4808 def absTerm nil cons cons nil cons nil cons cons "A" 4780 ref nil cons cons nil cons 4809 def 43 ref cons 222 ref subst subst 4810 def 4805 ref nil 24 ref 4808 remove nil cons cons nil cons nil cons cons 33 ref subst 4811 def nil 83 ref 4807 ref nil cons 4812 def cons 1032 ref cons nil cons cons 4813 def 100 ref subst 4814 def 4813 remove 157 ref subst 4815 def 4807 ref betaConv 4807 remove assume eqMp nil 83 ref 4796 remove 4797 remove 78 ref 4005 ref 901 ref 10 ref 63 ref 452 ref 4799 remove 4014 remove 4806 remove 4013 ref appTerm 4816 def 455 ref appTerm appTerm 4817 def appTerm absTerm appTerm appTerm 820 ref 4800 remove 3904 ref 4816 remove appTerm 4818 def 4798 remove appTerm appTerm appTerm appTerm appTerm 4771 ref appTerm absTerm appTerm absTerm 4819 def appTerm 4820 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp 4821 def nil "P" 4794 remove var 4822 def "f'''''" 4793 ref var 4823 def 68 ref 4819 ref 4823 ref varTerm 4824 def appTerm 4825 def appTerm 841 ref appTerm 4826 def absTerm nil cons cons nil cons nil cons cons "A" 4793 ref nil cons cons nil cons 4827 def 43 ref cons 222 ref subst subst 4828 def 4823 ref nil 24 ref 4826 remove nil cons cons nil cons nil cons cons 33 ref subst 4829 def nil 83 ref 4825 ref nil cons 4830 def cons 1032 ref cons nil cons cons 4831 def 100 ref subst 4832 def 4831 remove 157 ref subst 4833 def 4825 ref betaConv 4825 remove assume eqMp nil 83 ref 78 ref 4005 remove 901 ref 10 ref 63 ref 452 ref 901 ref 820 ref 3816 ref 4824 remove 4013 ref appTerm 4834 def appTerm appTerm appTerm 4817 remove appTerm absTerm appTerm appTerm 820 ref 4013 remove 4834 ref appTerm 4818 remove 4834 remove appTerm appTerm appTerm appTerm appTerm 4771 remove appTerm absTerm appTerm nil cons 4835 def cons 1032 ref cons nil cons cons 4836 def 144 ref subst proveHyp 4837 def 4836 ref 100 ref subst 4838 def 4836 remove 157 ref subst 4839 def 753 ref 734 ref 1078 ref 64 ref 4238 remove 1910 ref subst 1874 ref 4525 remove appThm 4040 ref refl 4840 def appThm trans absThm appThm absThm appThm 753 ref 734 ref 1078 ref 64 ref 123 ref 1874 ref 4560 remove appThm 4840 ref appThm appThm 1022 ref 452 ref 1874 ref 4559 remove appThm 4840 remove appThm absThm appThm appThm nil 161 ref 4561 remove cons 4237 remove cons nil cons cons 2027 ref subst eqMp absThm appThm 123 ref 1078 ref 64 ref 1022 ref 452 ref 64 ref 452 ref 901 ref 4538 remove appTerm 4040 ref appTerm absTerm 4841 def absTerm 4842 def 69 ref appTerm betaConv 4843 def 2401 ref appThm 4841 ref 455 ref appTerm betaConv trans absThm appThm absThm appThm appThm 1110 ref 1111 ref 1078 ref 64 ref 4843 remove 1114 ref appThm 4841 remove 1113 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 248 ref 4842 remove nil cons cons nil cons nil cons cons 1122 ref subst eqMp trans absThm appThm 123 ref 753 ref 734 ref 1110 ref 1111 ref 734 ref 1111 ref 63 ref 64 ref 901 ref 10 ref 1124 remove appTerm 4844 def 820 ref 510 ref 1113 ref appTerm 735 ref 1113 ref appTerm 4845 def appTerm appTerm appTerm appTerm 4040 ref appTerm absTerm appTerm absTerm 4846 def absTerm 4847 def 735 ref appTerm betaConv 4848 def 1231 ref appThm 4846 ref 1112 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 728 ref 1130 ref cons opType 4849 def 3 ref cons opType 4850 def 3 ref cons opType 4851 def constTerm 4852 def refl 4853 def "f" 4849 ref var 4854 def 753 ref 734 ref 4848 remove 4854 ref varTerm 4855 def 735 ref appTerm 4856 def refl 4857 def appThm 4846 remove 4856 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 728 ref 1107 remove nil cons cons opType var 4858 def 4847 remove nil cons cons nil cons nil cons cons "B" 1130 ref cons 4859 def 772 ref cons 43 ref cons 1121 ref subst 4860 def subst eqMp trans trans 4045 remove assume eqMp nil 83 ref 4852 ref 4854 ref 749 ref 734 ref 63 ref 64 ref 901 ref 10 ref 251 ref 4856 ref 69 ref appTerm 4861 def appTerm 69 ref appTerm appTerm 4862 def 820 ref 510 ref 4861 ref appTerm 735 ref 4861 ref appTerm 4863 def appTerm appTerm appTerm appTerm 4040 ref appTerm absTerm appTerm absTerm appTerm absTerm 4864 def appTerm 4865 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp 4866 def nil "P" 4850 ref var 4867 def "f''''''" 4849 ref var 4868 def 68 ref 4864 ref 4868 ref varTerm 4869 def appTerm 4870 def appTerm 841 ref appTerm 4871 def absTerm nil cons cons nil cons nil cons cons "A" 4849 ref nil cons 4872 def cons nil cons 4873 def 43 ref cons 222 ref subst 4874 def subst 4875 def 4868 ref nil 24 ref 4871 remove nil cons cons nil cons nil cons cons 33 ref subst 4876 def nil 83 ref 4870 ref nil cons 4877 def cons 1032 ref cons nil cons cons 4878 def 100 ref subst 4879 def 4878 remove 157 ref subst 4880 def 4870 ref betaConv 4870 remove assume eqMp nil 83 ref 749 ref 734 ref 63 ref 64 ref 901 ref 10 ref 251 ref 4869 ref 735 ref appTerm 69 ref appTerm 4881 def appTerm 69 ref appTerm appTerm 820 ref 510 ref 4881 ref appTerm 735 ref 4881 remove appTerm appTerm appTerm appTerm appTerm 4040 remove appTerm absTerm appTerm absTerm appTerm 4882 def nil cons 4883 def cons 1032 ref cons nil cons cons 4884 def 144 ref subst proveHyp 4885 def 4884 ref 100 ref subst 4886 def 4884 remove 157 ref subst 4887 def 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref nil 83 ref 3932 remove nil cons cons 84 ref 3934 ref nil cons cons nil cons 4888 def cons nil cons cons 1910 ref subst 1874 ref nil 150 ref 3931 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 452 ref 932 ref 3931 remove 455 ref appTerm betaConv appThm nil 4522 ref 84 ref 3930 remove nil cons cons nil cons cons nil cons cons 1988 ref subst 23 ref 3817 ref refl appThm nil 83 ref 3943 ref cons 84 ref 4467 remove cons nil cons cons nil cons cons 1941 ref subst appThm trans trans absThm appThm trans appThm 3945 remove 3933 remove refl appThm 4889 def appThm trans absThm appThm absThm appThm absThm appThm 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref 123 ref 1874 ref 1022 ref 452 ref 452 ref 4536 ref 901 ref 820 ref 3822 ref appTerm 4890 def appTerm 820 ref 3929 remove appTerm appTerm appTerm 4891 def absTerm 4892 def 455 ref appTerm betaConv 4893 def absThm appThm appThm 4889 ref appThm appThm 1022 ref 452 ref 1874 ref 4893 remove appThm 4889 remove appThm absThm appThm appThm nil 161 ref 4892 remove nil cons cons 4888 remove cons nil cons cons 2027 ref subst eqMp absThm appThm 123 ref 1078 ref 64 ref 1022 ref 452 ref 64 ref 452 ref 901 ref 4891 remove appTerm 3934 ref appTerm absTerm 4894 def absTerm 4895 def 69 ref appTerm betaConv 4896 def 2401 ref appThm 4894 ref 455 ref appTerm betaConv trans absThm appThm absThm appThm appThm 1110 ref 1111 ref 1078 ref 64 ref 4896 remove 1114 ref appThm 4894 remove 1113 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 248 ref 4895 remove nil cons cons nil cons nil cons cons 1122 ref subst eqMp trans absThm appThm 123 ref 753 ref 729 ref 1110 ref 1111 ref 729 ref 1111 ref 63 ref 64 ref 901 ref 4844 ref 901 ref 820 ref 739 ref 4845 ref appTerm 736 ref 1113 ref appTerm appTerm appTerm 4897 def appTerm 820 ref 58 ref 1113 ref appTerm 4845 ref appTerm appTerm appTerm appTerm appTerm 3934 ref appTerm absTerm appTerm absTerm 4898 def absTerm 4899 def 736 ref appTerm betaConv 4900 def 1231 ref appThm 4898 ref 1112 ref appTerm betaConv trans absThm appThm absThm appThm appThm 4853 ref 4854 ref 753 ref 729 ref 4900 remove 4855 ref 736 ref appTerm 4901 def refl 4902 def appThm 4898 remove 4901 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 4858 ref 4899 remove nil cons cons nil cons nil cons cons 4860 ref subst eqMp trans absThm appThm 123 ref 753 ref 734 ref 4853 ref 4854 ref 734 ref 4854 ref 749 ref 729 ref 63 ref 64 ref 901 ref 10 ref 251 ref 4901 ref 69 ref appTerm 4903 def appTerm 69 ref appTerm appTerm 4904 def 901 ref 820 ref 739 ref 735 ref 4903 ref appTerm 4905 def appTerm 736 ref 4903 ref appTerm appTerm appTerm 4906 def appTerm 820 ref 58 ref 4903 remove appTerm 4905 remove appTerm appTerm appTerm appTerm appTerm 3934 ref appTerm absTerm appTerm absTerm appTerm absTerm 4907 def absTerm 4908 def 735 ref appTerm betaConv 4909 def 4855 ref refl 4910 def appThm 4907 ref 4855 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 728 ref 4872 ref cons opType 4911 def 3 ref cons opType 4912 def 3 ref cons opType 4913 def constTerm 4914 def refl 4915 def "f" 4911 ref var 4916 def 753 ref 734 ref 4909 remove 4916 ref varTerm 4917 def 735 ref appTerm 4918 def refl 4919 def appThm 4907 remove 4918 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 728 ref 4850 remove nil cons cons opType var 4920 def 4908 remove nil cons cons nil cons nil cons cons "B" 4872 ref cons 4921 def 772 ref cons 43 ref cons 1121 ref subst 4922 def subst eqMp trans trans 3938 remove assume eqMp nil 83 ref 4914 ref 4916 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 901 ref 10 ref 251 ref 4918 ref 736 ref appTerm 69 ref appTerm 4923 def appTerm 69 ref appTerm appTerm 4924 def 901 ref 820 ref 739 ref 735 ref 4923 ref appTerm 4925 def appTerm 736 ref 4923 ref appTerm appTerm appTerm 4926 def appTerm 820 ref 58 ref 4923 remove appTerm 4925 remove appTerm appTerm appTerm appTerm appTerm 3934 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 4927 def appTerm 4928 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp 4929 def nil "P" 4912 ref var 4930 def "f'''''''" 4911 ref var 4931 def 68 ref 4927 ref 4931 ref varTerm 4932 def appTerm 4933 def appTerm 841 ref appTerm 4934 def absTerm nil cons cons nil cons nil cons cons "A" 4911 ref nil cons 4935 def cons nil cons 4936 def 43 ref cons 4937 def 222 ref subst 4938 def subst 4939 def 4931 ref nil 24 ref 4934 remove nil cons cons nil cons nil cons cons 33 ref subst 4940 def nil 83 ref 4933 ref nil cons 4941 def cons 1032 ref cons nil cons cons 4942 def 100 ref subst 4943 def 4942 remove 157 ref subst 4944 def 4933 ref betaConv 4933 remove assume eqMp nil 83 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 901 ref 10 ref 251 ref 4932 ref 735 ref appTerm 736 ref appTerm 69 ref appTerm 4945 def appTerm 69 ref appTerm appTerm 4946 def 901 ref 820 ref 739 ref 735 ref 4945 ref appTerm 4947 def appTerm 736 ref 4945 ref appTerm appTerm appTerm 4948 def appTerm 820 ref 58 ref 4945 remove appTerm 4947 remove appTerm appTerm appTerm appTerm appTerm 3934 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm 4949 def nil cons 4950 def cons 1032 ref cons nil cons cons 4951 def 144 ref subst proveHyp 4952 def 4951 ref 100 ref subst 4953 def 4951 remove 157 ref subst 4954 def nil 83 ref 10 ref 10 ref 3719 ref "Function.id" const 4955 def 3902 ref constTerm 4956 def 4955 ref 0 ref 3902 ref 3991 ref cons opType constTerm 4957 def 3904 ref appTerm 4958 def 4254 ref appTerm 4959 def appTerm 4960 def 69 ref appTerm 4961 def appTerm 4962 def appTerm 63 ref 452 ref 901 ref 820 ref 4955 ref 0 ref 61 remove 246 ref cons opType 4963 def constTerm 4964 def 4955 ref 479 remove constTerm 4965 def 251 ref appTerm 4966 def 455 ref appTerm 4967 def appTerm 4968 def 69 ref appTerm appTerm appTerm 4969 def 4955 ref 0 ref 47 ref 48 ref cons opType constTerm 4970 def 4955 ref 0 ref 49 ref 145 ref cons opType constTerm 4971 def 510 ref appTerm 4972 def 455 ref appTerm 4973 def appTerm 4974 def 4956 ref 4254 ref appTerm 4975 def 455 ref appTerm 4976 def appTerm appTerm absTerm 4977 def appTerm 4978 def appTerm 4979 def appTerm 10 ref 10 ref 4531 ref 4956 ref 4958 ref 4653 ref appTerm 4980 def appTerm 69 ref appTerm 4981 def appTerm 4982 def appTerm 63 ref 452 ref 4969 remove 4974 remove 4956 ref 4653 ref appTerm 4983 def 455 ref appTerm 4984 def appTerm appTerm absTerm 4985 def appTerm 4986 def appTerm 4987 def appTerm 4533 remove appTerm 4988 def appTerm nil cons 4989 def cons 1032 ref cons nil cons cons 4990 def 100 ref subst 4990 remove 157 ref subst nil 83 ref 739 ref 4981 ref appTerm 4961 ref appTerm 4991 def nil cons 4992 def cons 4993 def nil cons nil cons cons 4994 def nil 1856 ref 84 ref 27 ref 68 ref 1773 remove appTerm 85 ref appTerm appTerm 85 ref appTerm nil cons 4995 def cons nil cons 4996 def cons nil cons cons 4997 def 100 ref subst 4997 remove 157 ref subst 27 ref "_626" 2 ref var 4998 def 27 ref 68 ref 820 ref 4998 remove varTerm 4999 def appTerm appTerm 4999 ref appTerm appTerm 4999 remove appTerm absTerm 5000 def 85 ref appTerm 5001 def appTerm refl 5002 def 5000 ref 841 ref appTerm betaConv appThm 123 ref 5001 remove betaConv appThm 5003 def 27 ref 2821 remove 841 ref appTerm appTerm 841 ref appTerm refl appThm trans 5000 remove refl 5004 def 1872 ref appThm eqMp sym 2416 remove 1386 ref subst 1980 remove 874 ref subst trans eqMp eqMp nil 1884 ref 121 ref 4995 ref cons nil cons 5005 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 1888 ref 4996 remove cons nil cons cons 5006 def 100 ref subst 5006 remove 157 ref subst 5002 remove "_624" 2 ref var 5007 def 27 ref 68 ref 820 ref 5007 remove varTerm 5008 def appTerm appTerm 5008 ref appTerm appTerm 5008 remove appTerm absTerm 30 ref appTerm betaConv appThm 5003 remove 27 ref 2843 remove 30 ref appTerm appTerm 30 ref appTerm refl appThm trans 5004 remove 1895 ref appThm eqMp sym 2423 remove 1753 ref subst eqMp eqMp nil 1906 ref 5005 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1908 ref nil 1906 ref 1909 ref 911 ref 4995 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 5009 def subst nil 83 ref 820 ref 4991 remove appTerm 5010 def nil cons 5011 def cons 5012 def 84 ref 4992 ref cons nil cons 5013 def cons nil cons cons 5014 def 100 ref subst 5014 remove 157 ref subst nil 5012 remove 84 ref 4964 ref 4966 ref 4955 ref 0 ref 1106 ref 1130 remove cons opType constTerm 5015 def 4955 ref 0 ref 4849 ref 4872 remove cons opType constTerm 5016 def 4955 ref 0 ref 4911 ref 4935 remove cons opType constTerm 4932 ref appTerm 5017 def 4653 ref appTerm appTerm 4254 ref appTerm appTerm 69 ref appTerm 5018 def appTerm appTerm 69 ref appTerm 5019 def nil cons 5020 def cons nil cons cons nil cons cons 144 ref subst nil "_13438" 728 ref var 5021 def 4254 ref nil cons 5022 def cons 5023 def "_13439" 45 ref var 5024 def 356 ref cons 5025 def "_13437" 728 ref var 5026 def 4653 remove nil cons 5027 def cons nil cons 5028 def cons cons nil cons cons nil 836 ref 739 ref 4956 ref 4958 ref 5026 remove varTerm 5029 def appTerm appTerm 5030 def 5024 remove varTerm 5031 def appTerm 5032 def appTerm 4956 ref 4958 ref 5021 remove varTerm 5033 def appTerm appTerm 5034 def 5031 ref appTerm appTerm 5035 def nil cons 5036 def cons 5037 def 838 ref 4964 ref 4966 ref 5015 ref 5016 ref 5017 ref 5029 ref appTerm appTerm 5038 def 5033 ref appTerm appTerm 5039 def 5031 ref appTerm 5040 def appTerm appTerm 5031 ref appTerm 5041 def nil cons 5042 def cons nil cons cons nil cons cons 2085 ref subst 64 ref 10 ref 10 ref 901 ref 4964 ref 4966 ref 5039 remove 69 ref appTerm 5043 def appTerm appTerm 69 ref appTerm appTerm 5044 def 739 ref 5030 remove 69 ref appTerm 5045 def appTerm 5046 def 5034 remove 69 ref appTerm appTerm 5047 def appTerm appTerm 901 ref 901 ref 820 ref 739 ref 4956 ref 5029 ref appTerm 5048 def 5043 ref appTerm 5049 def appTerm 4956 ref 5033 ref appTerm 5050 def 5043 ref appTerm appTerm appTerm appTerm 820 ref 4970 ref 4971 ref 58 ref appTerm 5051 def 5043 remove appTerm appTerm 5049 remove appTerm appTerm appTerm appTerm 5052 def 5047 remove appTerm appTerm appTerm 10 ref 5044 remove 4970 ref 5051 ref 69 ref appTerm 5053 def appTerm 5054 def 5045 remove appTerm 5055 def appTerm appTerm 5052 remove 5055 ref appTerm appTerm appTerm absTerm 5056 def 5031 ref appTerm 5057 def betaConv 729 ref 63 ref 64 ref 10 ref 10 ref 901 ref 4964 ref 4966 ref 5015 ref 5038 remove 736 ref appTerm appTerm 69 ref appTerm 5058 def appTerm appTerm 69 ref appTerm appTerm 5059 def 5046 remove 4956 ref 4958 ref 736 ref appTerm 5060 def appTerm 5061 def 69 ref appTerm 5062 def appTerm 5063 def appTerm appTerm 901 ref 901 ref 820 ref 739 ref 5048 ref 5058 ref appTerm 5064 def appTerm 4956 ref 736 ref appTerm 5065 def 5058 ref appTerm appTerm appTerm appTerm 820 ref 4970 ref 5051 ref 5058 remove appTerm appTerm 5064 remove appTerm appTerm appTerm appTerm 5066 def 5063 remove appTerm appTerm appTerm 10 ref 5059 remove 5055 ref appTerm appTerm 5066 remove 5055 remove appTerm appTerm appTerm absTerm appTerm absTerm 5067 def 5033 ref appTerm 5068 def betaConv 734 ref 749 ref 729 ref 63 ref 64 ref 10 ref 10 ref 901 ref 4964 ref 4966 ref 5015 ref 5016 ref 5017 ref 735 ref appTerm 5069 def appTerm 736 ref appTerm 5070 def appTerm 69 ref appTerm 5071 def appTerm 5072 def appTerm 69 ref appTerm 5073 def appTerm 5074 def 739 ref 4956 ref 4958 ref 735 ref appTerm 5075 def appTerm 5076 def 69 ref appTerm 5077 def appTerm 5062 ref appTerm 5078 def appTerm appTerm 5079 def 901 ref 901 ref 820 ref 739 ref 4956 ref 735 ref appTerm 5080 def 5071 ref appTerm 5081 def appTerm 5065 ref 5071 ref appTerm appTerm appTerm 5082 def appTerm 5083 def 820 ref 4970 ref 5051 ref 5071 ref appTerm 5084 def appTerm 5081 ref appTerm appTerm appTerm 5085 def appTerm 5086 def 5078 ref appTerm appTerm appTerm 10 ref 5074 remove 5054 ref 5077 ref appTerm 5087 def appTerm appTerm 5086 remove 5087 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 5088 def 5029 ref appTerm 5089 def betaConv 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref nil 838 ref 10 ref 5073 ref appTerm 5090 def 5085 ref appTerm nil cons cons 836 ref 5078 ref nil cons 5091 def cons 1605 ref 5087 remove nil cons cons nil cons 5092 def cons cons nil cons cons 2480 ref subst 23 ref nil 838 ref 5073 remove nil cons cons 5093 def 836 ref 5085 remove nil cons cons 5094 def 1605 ref 5091 remove cons nil cons 5095 def cons cons nil cons cons nil 844 ref 84 ref 27 ref 901 ref 4676 ref appTerm 1606 ref appTerm appTerm 10 ref 2458 remove appTerm 2194 ref 1606 ref appTerm 5096 def appTerm appTerm nil cons 5097 def cons nil cons 5098 def cons nil cons cons 5099 def 100 ref subst 5099 remove 157 ref subst 27 ref "_590" 2 ref var 5100 def 27 ref 901 ref 10 ref 5100 remove varTerm 5101 def appTerm 845 ref appTerm appTerm 1606 ref appTerm appTerm 10 ref 901 ref 5101 remove appTerm 1606 ref appTerm appTerm 5096 ref appTerm appTerm absTerm 5102 def 839 ref appTerm 5103 def appTerm refl 5104 def 5102 ref 841 ref appTerm betaConv appThm 123 ref 5103 remove betaConv appThm 5105 def 27 ref 901 ref 4687 ref appTerm 1606 ref appTerm appTerm 10 ref 2468 remove appTerm 5096 ref appTerm appTerm refl appThm trans 5102 remove refl 5106 def 861 ref appThm eqMp sym 123 ref 1874 ref 4689 ref appThm 4690 ref appThm 2473 ref trans appThm 23 ref 2473 remove appThm 5096 ref refl 5107 def appThm appThm sym nil 83 ref 27 ref 1606 ref appTerm 5108 def 841 ref appTerm 5109 def nil cons 5110 def cons 84 ref 5108 ref 10 ref 1606 ref appTerm 5096 ref appTerm appTerm nil cons 5111 def cons nil cons 5112 def cons nil cons cons 5113 def 100 ref subst 5113 remove 157 ref subst 27 ref "_594" 2 ref var 5114 def 27 ref 5114 remove varTerm 5115 def appTerm 10 ref 5115 ref appTerm 2194 ref 5115 remove appTerm appTerm appTerm absTerm 5116 def 1606 ref appTerm 5117 def appTerm refl 5118 def 5116 ref 841 ref appTerm betaConv appThm 123 ref 5117 remove betaConv appThm 5119 def 857 remove 1921 remove 2194 ref 841 ref appTerm 5120 def appTerm 5121 def appTerm refl appThm trans 5116 remove refl 5122 def 5109 remove assume appThm eqMp sym nil 24 ref 5121 remove nil cons cons nil cons nil cons cons 868 ref subst 932 ref nil 24 ref 5120 remove nil cons cons nil cons nil cons cons 1927 remove subst appThm 876 ref trans trans sym 32 ref eqMp eqMp eqMp nil 119 ref 5110 ref cons 121 ref 5111 ref cons nil cons 5123 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 5108 remove 30 ref appTerm 5124 def nil cons 5125 def cons 5112 remove cons nil cons cons 5126 def 100 ref subst 5126 remove 157 ref subst 5118 remove "_592" 2 ref var 5127 def 27 ref 5127 remove varTerm 5128 def appTerm 10 ref 5128 ref appTerm 2194 ref 5128 remove appTerm appTerm appTerm absTerm 30 ref appTerm betaConv appThm 5119 remove 878 remove 320 remove 2194 remove 30 ref appTerm 5129 def appTerm 5130 def appTerm refl appThm trans 5122 remove 5124 remove assume appThm eqMp sym nil 24 ref 5130 remove nil cons cons nil cons nil cons cons 882 remove subst nil 24 ref 5129 remove nil cons cons nil cons nil cons cons 324 ref subst 2210 remove trans trans sym 32 ref eqMp eqMp eqMp nil 119 ref 5125 remove cons 5131 def 5123 remove cons nil cons cons 135 ref subst deductAntisym eqMp 902 remove 1606 ref appTerm 5132 def betaConv 905 remove nil 906 remove 84 ref 5132 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 907 remove 1620 remove cons nil cons cons 173 ref subst eqMp eqMp nil 5131 remove 121 ref 5110 remove cons 911 ref 5111 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 886 ref 121 ref 5097 ref cons nil cons 5133 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 890 ref 5098 remove cons nil cons cons 5134 def 100 ref subst 5134 remove 157 ref subst 5104 remove "_588" 2 ref var 5135 def 27 ref 901 ref 10 ref 5135 remove varTerm 5136 def appTerm 845 ref appTerm appTerm 1606 ref appTerm appTerm 10 ref 901 ref 5136 remove appTerm 1606 ref appTerm appTerm 5096 ref appTerm appTerm absTerm 30 ref appTerm betaConv appThm 5105 remove 27 ref 901 ref 4698 ref appTerm 1606 remove appTerm appTerm 10 ref 2478 remove appTerm 5096 ref appTerm appTerm refl appThm trans 5106 remove 896 ref appThm eqMp sym 123 ref 1874 ref 4699 ref appThm 4690 remove appThm appThm 23 ref 2479 remove appThm 5107 remove appThm nil 24 ref 5096 remove nil cons 5137 def cons nil cons nil cons cons 324 ref subst trans appThm nil 315 ref 5137 remove cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp eqMp eqMp nil 900 ref 5133 remove cons nil cons cons 135 ref subst deductAntisym eqMp 909 ref nil 900 ref 910 ref 911 ref 5097 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 5138 def subst appThm nil 5093 ref 5094 remove 5092 remove cons cons nil cons cons 5138 ref subst appThm trans absThm appThm absThm appThm absThm appThm 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref 1874 ref 23 ref 1222 ref nil 4916 ref 4932 ref nil cons cons 776 ref cons nil cons cons 771 ref 4921 remove nil cons cons 43 ref cons 64 ref 741 ref 5080 ref 69 ref appTerm 5139 def appTerm absTerm 5140 def 69 ref appTerm 5141 def betaConv 734 ref 63 ref 5140 ref appTerm 5142 def absTerm 5143 def 735 ref appTerm 5144 def betaConv 753 ref 734 ref 1078 ref 64 ref 3901 remove nil 776 ref nil cons cons 5145 def 1411 ref 64 ref 531 ref 4955 ref 1106 ref constTerm 69 ref appTerm appTerm 69 ref appTerm absTerm 5146 def 69 ref appTerm 5147 def betaConv nil 63 ref 5146 ref appTerm 5148 def axiom nil 83 ref 5148 remove nil cons cons 84 ref 5147 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 5146 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp subst subst 172 ref appThm appThm nil 2556 ref 740 ref nil cons cons nil cons nil cons cons 3243 remove subst trans absThm appThm 1525 ref trans absThm appThm 3959 remove trans sym 32 ref eqMp nil 83 ref 749 ref 5143 ref appTerm nil cons cons 84 ref 5144 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 5143 remove nil cons cons 776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 5142 remove nil cons cons 84 ref 5141 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 5140 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp 5149 def subst subst 736 ref refl 5150 def appThm nil 4854 ref 5069 remove nil cons cons 778 ref cons nil cons cons 771 ref 4859 remove nil cons cons 43 ref cons 5149 ref subst 5151 def subst trans 172 ref appThm nil 1111 ref 5070 remove nil cons cons nil cons nil cons cons 354 ref 3657 ref cons 43 ref cons 5149 ref subst 5152 def subst trans 5153 def appThm 172 ref appThm nil 725 remove 282 ref cons 5154 def 64 ref 5071 remove nil cons cons nil cons 5155 def cons nil cons cons 726 remove 5149 ref subst 5156 def subst 172 ref appThm nil 784 ref 5072 remove nil cons cons nil cons nil cons cons 787 remove 5149 ref subst 5157 def subst trans trans appThm 5158 def 1874 ref 932 ref 1550 ref 4779 ref 5153 ref appThm nil 5155 ref nil cons cons 5149 ref subst trans 5159 def appThm 5150 ref 5153 ref appThm nil 734 ref 777 remove cons 5160 def 5155 ref cons nil cons cons 5149 ref subst trans appThm appThm 5161 def appThm 932 ref 58 ref refl 5162 def 5153 remove appThm 5159 remove appThm nil "f" 49 remove var 5163 def 174 remove cons 5164 def 5155 remove cons nil cons cons 354 ref "B" 48 ref cons nil cons cons 43 ref cons 5149 ref subst 5165 def subst 5081 ref refl appThm nil "f" 47 ref var 5166 def 5084 remove nil cons cons 2556 ref 5081 remove nil cons cons nil cons cons nil cons cons 1574 ref 786 ref cons 43 ref cons 5149 ref subst 5167 def subst trans trans appThm appThm appThm appThm 23 ref 1550 ref nil "f" 3902 ref var 5168 def 3904 ref nil cons 5169 def cons 5170 def 776 ref cons nil cons cons 771 ref 4787 ref nil cons 5171 def cons 43 ref cons 5149 ref subst 5172 def subst 5173 def 172 ref appThm nil 734 ref 5075 remove nil cons cons 5174 def nil cons nil cons cons 5149 ref subst trans 5175 def appThm nil 5170 ref 778 ref cons nil cons cons 5172 ref subst 5176 def 172 ref appThm nil 734 ref 5060 remove nil cons cons 5177 def nil cons nil cons cons 5149 ref subst trans appThm 5178 def appThm 5162 remove 172 ref appThm 5175 ref appThm nil 5164 remove nil cons nil cons cons 5165 ref subst 5179 def 5077 ref refl 5180 def appThm nil 5166 ref 5053 remove nil cons cons 5181 def 2556 ref 5077 ref nil cons cons nil cons 5182 def cons nil cons cons 5167 ref subst trans trans appThm appThm absThm appThm absThm appThm absThm appThm 4949 remove assume eqMp eqMp nil 83 ref 749 ref 5088 ref appTerm nil cons cons 84 ref 5089 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 5088 remove nil cons cons 774 ref 5029 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 749 ref 5067 ref appTerm nil cons cons 84 ref 5068 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 5067 remove nil cons cons 774 ref 5033 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 5056 ref appTerm nil cons cons 84 ref 5057 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 5056 remove nil cons cons 64 ref 5031 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 119 ref 10 ref 901 ref 5041 remove appTerm 5183 def 5035 ref appTerm 5184 def appTerm 901 ref 901 ref 820 ref 739 ref 5048 remove 5040 ref appTerm 5185 def appTerm 5050 remove 5040 ref appTerm appTerm appTerm 5186 def appTerm 820 ref 4970 ref 5051 ref 5040 remove appTerm appTerm 5185 remove appTerm 5187 def appTerm 5188 def appTerm appTerm 5189 def 5035 ref appTerm 5190 def appTerm nil cons cons 121 ref 10 ref 5183 remove 4970 ref 5051 ref 5031 remove appTerm appTerm 5032 remove appTerm 5191 def appTerm appTerm 5189 remove 5191 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp 5192 def nil 119 ref 5184 remove nil cons cons 121 ref 5190 remove nil cons cons nil cons cons nil cons cons 5193 def 135 ref subst proveHyp 5194 def eqMp subst eqMp 5195 def nil 83 ref 5020 remove cons 5196 def 84 ref 10 ref 4970 ref 4972 ref 5018 ref appTerm appTerm 5197 def 4983 ref 5018 ref appTerm 5198 def appTerm 5199 def appTerm 820 ref 739 ref 5198 ref appTerm 4975 ref 5018 ref appTerm 5200 def appTerm appTerm 5201 def appTerm 5202 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp 5195 remove nil 5196 remove 84 ref 5199 remove nil cons 5203 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_13440" 45 ref var 5204 def 5018 ref nil cons 5205 def cons nil cons nil cons cons nil 836 ref 820 ref 4964 ref 4966 ref 5204 remove varTerm 5206 def appTerm appTerm 69 ref appTerm 5207 def appTerm nil cons 5208 def cons 838 ref 4970 ref 4972 ref 5206 ref appTerm appTerm 4983 remove 5206 ref appTerm appTerm 5209 def nil cons 5210 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 5207 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 5209 remove refl appThm trans nil 84 ref 5210 remove cons 83 ref 5208 remove cons nil cons cons nil cons cons 2097 ref subst 4985 ref 5206 ref appTerm 5211 def betaConv nil 119 ref 4979 remove nil cons cons 121 ref 4988 remove nil cons cons nil cons cons nil cons cons 5212 def 581 ref subst 5213 def nil 119 ref 4987 remove nil cons cons 121 ref 4597 remove cons nil cons cons nil cons cons 5214 def 135 ref subst proveHyp 5215 def nil 119 ref 4982 remove nil cons cons 121 ref 4986 remove nil cons 5216 def cons nil cons cons nil cons cons 5217 def 581 ref subst proveHyp nil 83 ref 5216 remove cons 84 ref 5211 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 4985 remove nil cons cons 64 ref 5206 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp 5218 def nil 83 ref 5203 remove cons 5219 def 84 ref 5201 remove nil cons cons nil cons 5220 def cons nil cons cons 157 ref subst proveHyp 5218 remove nil 5219 remove 84 ref 4970 ref 5051 ref 5018 remove appTerm appTerm 5198 ref appTerm 5221 def nil cons 5222 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_13427" 46 ref var 5223 def 5198 remove nil cons 5224 def cons "_13426" 45 ref var 5225 def 5205 ref cons nil cons cons nil cons cons nil 836 ref 820 ref 4970 ref 4972 ref 5225 remove varTerm 5226 def appTerm appTerm 5227 def 5223 remove varTerm 5228 def appTerm 5229 def appTerm nil cons 5230 def cons 838 ref 4970 ref 5051 remove 5226 ref appTerm appTerm 5231 def 5228 ref appTerm 5232 def nil cons 5233 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 5229 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 5232 remove refl appThm trans nil 84 ref 5233 remove cons 83 ref 5230 remove cons nil cons cons nil cons cons 2097 ref subst 67 ref 901 ref 820 ref 5227 remove 71 ref appTerm appTerm appTerm 5231 remove 71 ref appTerm appTerm absTerm 5234 def 5228 ref appTerm 5235 def betaConv 64 ref 66 ref 67 ref 901 ref 820 ref 4970 ref 4972 ref 69 ref appTerm 5236 def appTerm 5237 def 71 ref appTerm appTerm 5238 def appTerm 5239 def 5054 remove 71 ref appTerm appTerm absTerm appTerm absTerm 5240 def 5226 ref appTerm 5241 def betaConv 1078 ref 64 ref 2527 ref 67 ref 1874 ref 932 ref nil 5163 ref 4317 ref cons 5242 def nil cons nil cons cons 5165 ref subst 5243 def 4751 ref appThm nil 5166 ref 5236 remove nil cons cons 5244 def 3730 ref cons nil cons cons 5167 ref subst trans appThm appThm 5245 def 5179 remove 4751 ref appThm nil 5181 remove 3730 ref cons nil cons cons 5167 ref subst trans appThm absThm appThm absThm appThm 1078 ref 64 ref 2527 ref 67 ref nil 83 ref 4438 ref nil cons cons 84 ref 74 remove nil cons cons nil cons cons nil cons cons 1910 ref subst absThm appThm absThm appThm 4472 remove assume eqMp eqMp nil 83 ref 63 ref 5240 ref appTerm nil cons cons 84 ref 5241 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 5240 remove nil cons cons 64 ref 5226 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 66 ref 5234 ref appTerm nil cons cons 84 ref 5235 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 5234 remove nil cons cons 2556 ref 5228 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 5222 remove cons 84 ref 5011 ref cons nil cons cons nil cons cons 157 ref subst proveHyp 5010 ref assume eqMp nil 83 ref 10 ref 5221 remove appTerm 5010 ref appTerm nil cons cons 5220 remove cons nil cons cons 144 ref subst proveHyp nil 5025 remove 5023 remove 5028 remove cons cons nil cons cons 5246 def nil 836 ref 901 ref 5188 ref appTerm 5035 ref appTerm nil cons cons 838 ref 5186 ref nil cons 5247 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 5037 remove 838 ref 5188 remove nil cons 5248 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 5187 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 820 ref 5035 remove appTerm refl appThm trans appThm 5186 remove refl appThm trans nil 984 ref 5247 remove cons 983 ref 5248 remove cons 2148 ref 5036 ref cons nil cons cons cons nil cons cons 3414 ref subst 5192 remove 5193 remove 581 ref subst proveHyp eqMp eqMp subst eqMp eqMp eqMp nil 83 ref 10 ref 5019 ref appTerm 5202 remove appTerm nil cons cons 84 ref 820 ref 5197 remove 5200 ref appTerm appTerm nil cons 5249 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_13429" 46 ref var 5250 def 5200 remove nil cons cons "_13430" 46 ref var 5251 def 5224 remove cons "_13428" 45 ref var 5252 def 5205 ref cons nil cons cons cons nil cons cons nil 836 ref 901 ref 820 ref 4964 ref 4966 ref 5252 remove varTerm 5253 def appTerm appTerm 69 ref appTerm 5254 def appTerm 5255 def appTerm 5256 def 901 ref 820 ref 4970 ref 4972 ref 5253 ref appTerm appTerm 5257 def 5251 remove varTerm 5258 def appTerm 5259 def appTerm 5260 def appTerm 739 ref 5258 ref appTerm 5250 remove varTerm 5261 def appTerm 5262 def appTerm 5263 def appTerm nil cons cons 838 ref 820 ref 5257 ref 5261 ref appTerm appTerm 5264 def nil cons 5265 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 5263 ref nil cons 5266 def cons 838 ref 5255 remove nil cons 5267 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 5254 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm nil 836 ref 5262 ref nil cons 5268 def cons 838 ref 5260 ref nil cons 5269 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 5259 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 820 ref 5262 ref appTerm refl appThm trans appThm trans appThm 5264 ref refl appThm trans 123 ref 5256 ref refl 901 ref 5264 remove appTerm 5270 def refl nil 84 ref 5268 remove cons 5271 def 83 ref 5269 ref cons nil cons cons nil cons cons 2097 ref subst appThm nil 917 ref 5269 remove cons 5271 ref 83 ref 5265 remove cons nil cons 5272 def cons cons nil cons cons 2174 ref subst trans appThm nil 917 ref 5270 ref 5260 remove appTerm 5273 def nil cons cons 5271 remove 83 ref 5267 ref cons nil cons cons cons nil cons cons 2174 ref subst trans 5274 def appThm nil 917 ref 5266 remove cons 84 ref 5267 remove cons 5272 remove cons cons nil cons cons 2174 ref subst 5274 remove trans appThm nil 315 ref 901 ref 5262 remove appTerm 5256 ref 5273 remove appTerm appTerm nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 4527 ref 10 ref 5256 ref 5257 ref 4956 ref 4755 ref appTerm 5275 def 5253 ref appTerm appTerm appTerm 5276 def appTerm 5277 def 5256 ref 5270 ref 901 ref 820 ref 5257 ref 4529 ref appTerm appTerm appTerm 5278 def 4531 ref 5261 ref appTerm appTerm appTerm appTerm appTerm absTerm 5279 def 5258 ref appTerm 5280 def betaConv 67 ref 66 ref 4527 ref 5277 remove 5256 ref 901 ref 820 ref 5257 remove 71 ref appTerm appTerm appTerm 5278 remove 4532 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 5281 def 5261 ref appTerm 5282 def betaConv 255 ref 66 ref 67 ref 66 ref 4527 ref 10 ref 901 ref 820 ref 4964 ref 4966 ref 256 ref appTerm 5283 def appTerm 69 ref appTerm appTerm 5284 def appTerm 5285 def 4970 ref 4972 ref 256 ref appTerm 5286 def appTerm 5287 def 5275 ref 256 ref appTerm 5288 def appTerm 5289 def appTerm appTerm 5285 ref 901 ref 820 ref 5287 ref 71 ref appTerm appTerm 5290 def appTerm 5291 def 901 ref 820 ref 5287 remove 4529 ref appTerm appTerm appTerm 4532 ref appTerm 5292 def appTerm 5293 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm 5294 def 5253 ref appTerm 5295 def betaConv 1078 ref 255 ref 5285 ref refl 5296 def 10 ref 5289 ref appTerm 5297 def refl 5298 def 2527 ref 67 ref 123 ref 5291 remove refl 5299 def 2527 ref 4527 ref 4527 ref 5292 remove absTerm 5300 def 4529 ref appTerm betaConv 5301 def absThm appThm appThm appThm 2527 ref 4527 ref 5299 remove 5301 remove appThm absThm appThm appThm nil 4551 ref 5300 remove nil cons cons 83 ref 5290 remove nil cons cons nil cons cons nil cons cons 1576 ref 1446 ref 27 ref 4732 remove appTerm 4731 remove appTerm absTerm 5302 def 1447 ref appTerm 5303 def betaConv 83 ref 254 ref 5302 ref appTerm 5304 def absTerm 5305 def 85 ref appTerm 5306 def betaConv nil 311 ref 5305 ref appTerm 5307 def axiom nil 83 ref 5307 remove nil cons cons 84 ref 5306 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 5305 remove nil cons cons 1776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 5304 remove nil cons cons 84 ref 5303 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 5302 remove nil cons cons 1458 ref cons nil cons cons 173 ref subst eqMp eqMp 5308 def subst 5309 def subst eqMp absThm appThm appThm 123 ref 5298 ref 2527 ref 67 ref 67 ref 66 ref 4527 ref 5293 ref absTerm 5310 def appTerm absTerm 5311 def 71 ref appTerm betaConv 5312 def absThm appThm appThm appThm 2527 ref 67 ref 5298 ref 5312 remove appThm absThm appThm appThm nil 4551 ref 5311 remove nil cons cons 83 ref 5289 remove nil cons 5313 def cons nil cons 5314 def cons nil cons cons 1576 ref 1446 ref 27 ref 90 ref 1451 remove appTerm appTerm 63 ref 2345 remove appTerm appTerm absTerm 5315 def 1447 remove appTerm 5316 def betaConv 83 ref 254 ref 5315 ref appTerm 5317 def absTerm 5318 def 85 ref appTerm 5319 def betaConv nil 311 ref 5318 ref appTerm 5320 def axiom nil 83 ref 5320 remove nil cons cons 84 ref 5319 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 5318 remove nil cons cons 1776 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 5317 remove nil cons cons 84 ref 5316 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 5315 remove nil cons cons 1458 remove cons nil cons cons 173 ref subst eqMp eqMp 5321 def subst 5322 def subst eqMp 2527 ref 67 ref 123 ref 5298 ref 2527 ref 4527 ref 5310 ref 4529 ref appTerm betaConv 5323 def absThm appThm appThm appThm 2527 ref 4527 ref 5298 remove 5323 remove appThm absThm appThm appThm nil 4551 ref 5310 remove nil cons cons 5314 remove cons nil cons cons 5322 remove subst eqMp absThm appThm trans trans appThm 123 ref 5296 ref 2527 ref 67 ref 67 ref 66 ref 4527 ref 5297 remove 5293 ref appTerm absTerm 5324 def appTerm absTerm 5325 def 71 ref appTerm betaConv 5326 def absThm appThm appThm appThm 2527 ref 67 ref 5296 ref 5326 remove appThm absThm appThm appThm nil 4551 ref 5325 remove nil cons cons 83 ref 5284 remove nil cons 5327 def cons nil cons 5328 def cons nil cons cons 5309 ref subst eqMp 2527 ref 67 ref 123 ref 5296 ref 2527 ref 4527 ref 5324 ref 4529 ref appTerm betaConv 5329 def absThm appThm appThm appThm 2527 ref 4527 ref 5296 remove 5329 remove appThm absThm appThm appThm nil 4551 ref 5324 remove nil cons cons 5328 remove cons nil cons cons 5309 ref subst eqMp absThm appThm trans trans absThm appThm 1078 ref 255 ref 2527 ref 67 ref 2527 ref 4527 ref nil 838 ref 5327 remove cons 836 ref 5313 remove cons 1605 ref 5293 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst absThm appThm absThm appThm absThm appThm trans 1078 ref 255 ref 1874 ref 932 ref nil 5154 ref 767 ref cons nil cons cons 5156 ref subst 172 ref appThm nil 784 ref 5283 remove nil cons cons nil cons nil cons cons 5157 ref subst trans appThm appThm 5330 def 23 ref 4231 ref 1105 ref appThm nil 734 ref 4755 ref nil cons 5331 def cons 767 ref cons nil cons cons 5149 ref subst appThm nil 5242 ref 767 ref cons nil cons cons 5165 ref subst 5332 def 5288 ref refl appThm nil 5166 ref 5286 remove nil cons cons 5333 def 2556 ref 5288 remove nil cons cons nil cons cons nil cons cons 5167 ref subst trans trans appThm 2527 ref 67 ref 1874 ref 932 ref 5332 ref 4751 ref appThm nil 5333 ref 3730 ref cons nil cons cons 5167 ref subst trans appThm appThm 2527 ref 4527 ref 1874 ref 932 ref 5332 remove 4529 ref refl 5334 def appThm nil 5333 remove 2556 ref 4530 remove cons nil cons 5335 def cons nil cons cons 5167 ref subst trans appThm appThm 4725 ref appThm absThm appThm appThm absThm appThm appThm appThm absThm appThm 4760 remove assume eqMp eqMp 5336 def nil 83 ref 63 ref 5294 ref appTerm nil cons cons 5337 def 84 ref 5295 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 5294 ref nil cons cons 5338 def 64 ref 5253 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 66 ref 5281 ref appTerm nil cons cons 84 ref 5282 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 5281 remove nil cons cons 2556 ref 5261 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 66 ref 5279 ref appTerm nil cons cons 84 ref 5280 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 5279 remove nil cons cons 2556 ref 5258 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 119 ref 5276 remove nil cons cons 121 ref 5256 remove 5270 remove 5263 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 581 ref subst proveHyp eqMp eqMp subst eqMp nil 83 ref 5249 remove cons 84 ref 820 ref 5019 remove appTerm nil cons 5339 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_13441" 45 ref var 5340 def 5205 remove cons nil cons nil cons cons nil 836 ref 4970 ref 4972 ref 5340 remove varTerm 5341 def appTerm appTerm 4975 ref 5341 ref appTerm appTerm nil cons cons 838 ref 820 ref 4964 ref 4966 ref 5341 ref appTerm appTerm 69 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 2085 ref subst 4977 ref 5341 ref appTerm 5342 def betaConv 5212 remove 135 ref subst 5343 def nil 119 ref 4962 remove nil cons cons 121 ref 4978 remove nil cons 5344 def cons nil cons cons nil cons cons 5345 def 581 ref subst proveHyp nil 83 ref 5344 remove cons 84 ref 5342 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 4977 remove nil cons cons 64 ref 5341 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp nil 83 ref 5339 remove cons 5013 remove cons nil cons cons 144 ref subst proveHyp 5246 remove nil 836 ref 5042 ref cons 838 ref 5036 ref cons nil cons cons nil cons cons 2085 ref subst nil 84 ref 5036 remove cons 83 ref 5042 remove cons nil cons cons nil cons cons 2097 ref subst 5194 remove eqMp eqMp subst eqMp eqMp nil 119 ref 5011 remove cons 121 ref 4992 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 4993 remove 1032 ref cons nil cons cons 144 ref subst proveHyp 4994 remove 2222 ref subst 27 ref "_13478" 46 ref var 5346 def 820 ref 739 ref 5346 remove varTerm appTerm 4961 ref appTerm appTerm absTerm 5347 def 4529 ref appTerm 5348 def appTerm refl 5347 ref 4981 remove appTerm betaConv appThm 123 ref 5348 remove betaConv appThm 5010 remove refl appThm trans 5347 remove refl 5215 remove 5217 remove 135 ref subst proveHyp appThm eqMp 27 ref "_13446" 46 ref var 5349 def 820 ref 4531 ref 5349 remove varTerm appTerm appTerm absTerm 5350 def 71 ref appTerm 5351 def appTerm refl 5350 ref 4961 ref appTerm betaConv appThm 123 ref 5351 remove betaConv appThm 820 ref 4531 ref 4961 remove appTerm appTerm refl appThm trans 5350 remove refl 5343 remove 5345 remove 135 ref subst proveHyp appThm eqMp 5213 remove 5214 remove 581 ref subst proveHyp eqMp eqMp eqMp eqMp eqMp nil 119 ref 4989 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 66 ref 67 ref 749 ref 734 ref 901 ref 820 ref 3719 remove 5077 ref appTerm appTerm 5352 def appTerm 5353 def 10 ref 4964 ref 4966 ref 4955 ref 0 ref 4565 ref 4583 ref cons opType constTerm 5354 def 4955 ref 0 ref 4584 ref 4621 ref cons opType constTerm 4590 ref appTerm 5355 def 71 ref appTerm 5356 def appTerm 735 ref appTerm 5357 def appTerm 5358 def appTerm 69 ref appTerm 5359 def appTerm 820 ref 4970 ref 4972 ref 5357 ref appTerm 5360 def appTerm 5080 ref 5357 ref appTerm 5361 def appTerm appTerm 5362 def appTerm appTerm absTerm appTerm absTerm appTerm 5363 def nil cons 5364 def cons 1032 ref cons nil cons cons 5365 def 100 ref subst 5365 remove 157 ref subst nil 2556 ref 4956 ref 4958 ref 4755 ref appTerm appTerm 69 ref appTerm 5366 def nil cons 5367 def cons nil cons nil cons cons 1576 ref 172 ref subst 5368 def subst 5369 def nil 83 ref 739 ref 5366 ref appTerm 5366 ref appTerm 5370 def nil cons cons 5371 def 84 ref 4970 ref 4972 ref 5354 ref 5355 ref 5366 remove appTerm appTerm 4755 remove appTerm 5372 def appTerm appTerm 5275 ref 5372 ref appTerm appTerm 5373 def nil cons cons nil cons 5374 def cons nil cons cons 157 ref subst proveHyp 5369 remove nil 5371 remove 84 ref 4964 ref 4966 ref 5372 ref appTerm appTerm 69 ref appTerm nil cons 5375 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_13425" 728 ref var 5376 def 5331 remove cons "_13424" 46 ref var 5377 def 5367 remove cons nil cons cons nil cons cons 5378 def nil 836 ref 820 ref 739 ref 5377 remove varTerm 5379 def appTerm 5380 def 4956 ref 4958 ref 5376 remove varTerm 5381 def appTerm appTerm 69 ref appTerm appTerm 5382 def appTerm 5383 def nil cons 5384 def cons 838 ref 4964 ref 4966 ref 5354 ref 5355 remove 5379 ref appTerm appTerm 5385 def 5381 ref appTerm 5386 def appTerm appTerm 69 ref appTerm 5387 def nil cons 5388 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 5382 ref nil cons cons nil cons 5389 def nil cons cons 2086 ref subst appThm 5387 ref refl appThm trans nil 84 ref 5388 remove cons 83 ref 5384 remove cons nil cons cons nil cons cons 2097 ref subst 734 ref 10 ref 901 ref 820 ref 5380 remove 5077 ref appTerm appTerm appTerm 5390 def 4964 ref 4966 ref 5385 remove 735 ref appTerm 5391 def appTerm appTerm 69 ref appTerm appTerm appTerm 5390 remove 820 ref 4970 ref 4972 ref 5391 ref appTerm appTerm 5080 ref 5391 remove appTerm appTerm appTerm appTerm appTerm absTerm 5392 def 5381 ref appTerm 5393 def betaConv 67 ref 749 ref 734 ref 10 ref 5353 ref 5359 ref appTerm appTerm 5353 remove 5362 ref appTerm appTerm absTerm appTerm absTerm 5394 def 5379 ref appTerm 5395 def betaConv 2527 ref 67 ref 753 ref 734 ref nil 838 ref 5352 remove nil cons cons 836 ref 5359 remove nil cons cons 1605 ref 5362 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst absThm appThm absThm appThm 5363 remove assume eqMp nil 83 ref 66 ref 5394 ref appTerm nil cons cons 84 ref 5395 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 5394 remove nil cons cons 2556 ref 5379 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 749 ref 5392 ref appTerm nil cons cons 84 ref 5393 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 5392 remove nil cons cons 774 ref 5381 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 5396 def nil 119 ref 901 ref 5383 remove appTerm 5397 def 5387 remove appTerm nil cons cons 121 ref 5397 remove 820 ref 4970 ref 4972 ref 5386 ref appTerm appTerm 4956 ref 5381 remove appTerm 5386 remove appTerm appTerm 5398 def appTerm appTerm nil cons cons nil cons cons nil cons cons 5399 def 135 ref subst proveHyp eqMp eqMp subst eqMp nil 83 ref 5375 remove cons 5374 remove cons nil cons cons 144 ref subst proveHyp nil "_13412" 45 ref var 5400 def 5372 remove nil cons cons nil cons nil cons cons nil 836 ref 820 ref 4964 ref 4966 ref 5400 remove varTerm 5401 def appTerm appTerm 69 ref appTerm 5402 def appTerm 5403 def nil cons 5404 def cons 838 ref 4970 ref 4972 ref 5401 ref appTerm appTerm 5405 def 5275 remove 5401 ref appTerm appTerm 5406 def nil cons 5407 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 5402 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 5406 ref refl appThm trans nil 84 ref 5407 remove cons 83 ref 5404 remove cons nil cons cons nil cons cons 2097 ref subst 4527 ref 10 ref 901 ref 5403 remove appTerm 5408 def 5406 remove appTerm 5409 def appTerm 5410 def 5408 ref 901 ref 820 ref 5405 ref "_13413" 46 ref var varTerm 5411 def appTerm appTerm appTerm 5412 def 901 ref 820 ref 5405 ref 4529 ref appTerm appTerm appTerm 5413 def 4531 ref 5411 ref appTerm appTerm appTerm appTerm appTerm absTerm 5414 def "_13414" 46 ref var varTerm 5415 def appTerm 5416 def betaConv 67 ref 66 ref 4527 ref 5410 remove 5408 ref 901 ref 820 ref 5405 ref 71 ref appTerm appTerm appTerm 5413 remove 4532 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm 5417 def 5411 ref appTerm 5418 def betaConv 5294 remove 5401 ref appTerm 5419 def betaConv 5336 remove nil 5337 remove 84 ref 5419 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 5338 remove 64 ref 5401 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 66 ref 5417 ref appTerm nil cons cons 84 ref 5418 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 5417 remove nil cons cons 2556 ref 5411 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 66 ref 5414 ref appTerm nil cons cons 84 ref 5416 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 5414 remove nil cons cons 2556 ref 5415 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 119 ref 5409 remove nil cons cons 121 ref 5408 remove 5412 remove 901 ref 820 ref 5405 remove 5415 ref appTerm appTerm appTerm 739 ref 5415 remove appTerm 5411 remove appTerm appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp eqMp eqMp subst eqMp eqMp nil 83 ref 10 ref 5370 remove appTerm 5373 remove appTerm nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp 5378 remove nil 836 ref 5398 ref nil cons cons 5389 remove cons nil cons cons nil 844 remove 84 ref 27 ref 2176 remove 846 ref appTerm appTerm 820 ref 4676 remove appTerm appTerm nil cons 5420 def cons nil cons 5421 def cons nil cons cons 5422 def 100 ref subst 5422 remove 157 ref subst 27 ref "_618" 2 ref var 5423 def 27 ref 901 ref 820 ref 5423 remove varTerm 5424 def appTerm appTerm 846 ref appTerm appTerm 820 ref 10 ref 5424 remove appTerm 845 ref appTerm appTerm appTerm absTerm 5425 def 839 remove appTerm 5426 def appTerm refl 5427 def 5425 ref 841 ref appTerm betaConv appThm 123 ref 5426 remove betaConv appThm 5428 def 27 ref 1869 remove 846 ref appTerm appTerm 820 ref 4687 remove appTerm appTerm refl appThm trans 5425 remove refl 5429 def 861 remove appThm eqMp sym 123 ref 1875 remove 2137 ref appThm 863 ref 1880 ref subst trans appThm 932 ref 4689 remove appThm 876 remove trans appThm 1883 ref trans sym 32 ref eqMp eqMp eqMp nil 886 remove 121 ref 5420 ref cons nil cons 5430 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 890 remove 5421 remove cons nil cons cons 5431 def 100 ref subst 5431 remove 157 ref subst 5427 remove "_616" 2 ref var 5432 def 27 ref 901 ref 820 ref 5432 remove varTerm 5433 def appTerm appTerm 846 ref appTerm appTerm 820 ref 10 ref 5433 remove appTerm 845 remove appTerm appTerm appTerm absTerm 30 ref appTerm betaConv appThm 5428 remove 27 ref 1893 remove 846 remove appTerm appTerm 820 ref 4698 remove appTerm appTerm refl appThm trans 5429 remove 896 remove appThm eqMp sym 123 ref 1897 remove 2137 remove appThm 863 remove 1902 ref subst trans appThm 932 ref 4699 remove appThm appThm 899 remove trans sym 32 ref eqMp eqMp eqMp nil 900 ref 5430 remove cons nil cons cons 135 ref subst deductAntisym eqMp 909 remove nil 900 remove 910 remove 911 ref 5420 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp 5434 def subst nil 83 ref 10 ref 5382 remove appTerm 5398 remove appTerm nil cons cons nil cons nil cons cons 2222 ref subst trans 5396 remove 5399 remove 581 ref subst proveHyp eqMp subst eqMp eqMp nil 119 ref 5364 remove cons 5435 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp 1874 ref 2527 ref 67 ref 753 ref 734 ref 1874 ref 932 ref 1550 ref 4751 ref appThm 5436 def 5175 ref appThm appThm appThm 23 ref 1222 ref nil 3730 remove nil cons cons 1574 remove 4594 ref nil cons 5437 def cons 43 ref cons 5149 ref subst subst 4779 ref appThm nil 4570 ref 5356 remove nil cons cons 776 ref cons nil cons cons 771 ref 3657 ref cons 43 ref cons 5149 ref subst 5438 def subst trans 5439 def appThm 172 ref appThm nil 5154 ref 64 ref 5357 remove nil cons cons nil cons 5440 def cons nil cons cons 5156 ref subst 172 ref appThm nil 784 ref 5358 remove nil cons cons nil cons nil cons cons 5157 ref subst trans trans appThm 932 ref 4231 ref 5439 ref appThm 4779 ref 5439 remove appThm nil 5440 ref nil cons cons 5149 ref subst trans appThm nil 5242 ref 5440 remove cons nil cons cons 5165 ref subst 5361 ref refl appThm nil 5166 ref 5360 remove nil cons cons 2556 ref 5361 remove nil cons cons nil cons cons nil cons cons 5167 ref subst trans trans appThm appThm appThm absThm appThm absThm appThm appThm 23 ref 23 ref 5436 remove nil 5170 ref 774 ref 5022 ref cons nil cons cons nil cons cons 5172 ref subst 172 ref appThm nil 734 ref 4959 remove nil cons cons nil cons nil cons cons 5149 ref subst trans appThm appThm 1078 ref 452 ref 1874 ref 932 ref nil 5154 ref 4469 ref cons nil cons cons 5156 ref subst 5441 def 172 ref appThm nil 784 ref 4967 remove nil cons cons 5442 def nil cons nil cons cons 5157 ref subst trans appThm appThm 5443 def 4231 ref 2401 ref appThm 5444 def nil 734 ref 5022 ref cons 5445 def 4469 ref cons nil cons cons 5149 ref subst appThm nil 5242 ref 4469 ref cons nil cons cons 5165 ref subst 5446 def 4976 ref refl appThm nil 5166 ref 4973 remove nil cons cons 5447 def 2556 ref 4976 remove nil cons cons nil cons cons nil cons cons 5167 ref subst trans trans appThm absThm appThm appThm appThm 23 ref 23 ref 1550 ref 5334 ref appThm nil 5170 ref 774 ref 5027 ref cons nil cons cons nil cons cons 5172 ref subst 172 ref appThm nil 734 ref 4980 remove nil cons cons nil cons nil cons cons 5149 ref subst trans appThm appThm 1078 ref 452 ref 5443 remove 5444 remove nil 734 ref 5027 remove cons 4469 ref cons nil cons cons 5149 ref subst appThm 5446 remove 4984 ref refl appThm nil 5447 remove 2556 ref 4984 remove nil cons cons nil cons cons nil cons cons 5167 ref subst trans trans appThm absThm appThm appThm appThm 4534 remove appThm appThm appThm 4654 remove assume eqMp nil 5435 remove 121 ref 4989 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp nil 119 ref 4950 remove cons 1390 ref cons nil cons cons 135 ref subst 5448 def deductAntisym eqMp eqMp eqMp nil 119 ref 4941 remove cons 1390 ref cons nil cons cons 135 ref subst 5449 def deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 4913 remove constTerm 5450 def "x" 4911 ref var 5451 def 68 ref 4927 ref 5451 ref varTerm 5452 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4928 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst 5453 def proveHyp 4936 ref 4930 ref 4927 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst 5454 def eqMp eqMp eqMp nil 119 ref 4883 remove cons 1390 ref cons nil cons cons 135 ref subst 5455 def deductAntisym eqMp eqMp eqMp nil 119 ref 4877 remove cons 1390 ref cons nil cons cons 135 ref subst 5456 def deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 4851 remove constTerm 5457 def "x" 4849 ref var 5458 def 68 ref 4864 ref 5458 ref varTerm 5459 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4865 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst 5460 def proveHyp 4873 ref 4867 ref 4864 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst 5461 def eqMp eqMp eqMp nil 119 ref 4835 remove cons 1390 ref cons nil cons cons 135 ref subst 5462 def deductAntisym eqMp eqMp eqMp nil 119 ref 4830 remove cons 1390 ref cons nil cons cons 135 ref subst 5463 def deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 4795 remove constTerm "x" 4793 remove var 5464 def 68 ref 4819 ref 5464 remove varTerm appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4820 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst 5465 def proveHyp 4827 remove 4822 remove 4819 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst 5466 def eqMp eqMp eqMp nil 119 ref 4812 remove cons 1390 ref cons nil cons cons 135 ref subst 5467 def deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 4782 remove constTerm "x" 4780 remove var 5468 def 68 ref 4801 ref 5468 remove varTerm appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4802 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst 5469 def proveHyp 4809 remove 4804 remove 4801 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst 5470 def eqMp eqMp eqMp nil 119 ref 4761 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 4758 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 749 ref 774 ref 68 ref 4752 ref 4284 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4753 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 4752 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 4667 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 4665 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 749 ref 774 ref 68 ref 4655 ref 4284 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4656 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 4655 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 4661 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 66 ref 2556 ref 68 ref 4657 ref 2556 ref varTerm 5471 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4658 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 4657 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 4650 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 749 ref 774 ref 68 ref 4633 ref 4284 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4634 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 4633 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 4646 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 66 ref 2556 ref 68 ref 4635 ref 5471 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4636 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 4635 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 4642 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 4586 remove constTerm "x" 4584 remove var 5472 def 68 ref 4637 ref 5472 remove varTerm appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4638 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 4622 remove 4639 remove 4637 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 4480 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp proveHyp eqMp eqMp nil 119 ref 4443 remove cons 121 ref 4444 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 63 ref 4442 remove appTerm nil cons cons 84 ref 63 ref 64 ref 4440 remove absTerm 5473 def appTerm 5474 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 1078 ref 64 ref 182 ref 1078 ref 255 ref 1344 ref 5473 ref 256 ref appTerm betaConv appThm absThm appThm appThm 5473 ref 69 ref appTerm betaConv 5475 def appThm absThm appThm appThm 1078 ref 64 ref 5475 remove absThm appThm appThm nil 161 ref 5473 remove nil cons cons nil cons nil cons cons 270 ref 163 ref appTerm 5476 def betaConv 5477 def nil 3987 ref 84 ref 5476 remove nil cons cons nil cons cons nil cons cons 144 ref subst 5478 def 539 ref 540 ref 270 remove nil cons cons 5479 def 543 ref cons nil cons cons 173 ref subst 5480 def eqMp eqMp 5481 def subst eqMp eqMp nil 83 ref 3925 ref cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 3924 ref appTerm 5482 def nil cons 5483 def cons 1032 ref cons nil cons cons 5484 def 100 ref subst 5484 remove 157 ref subst nil 773 ref 3923 ref nil cons 5485 def cons nil cons nil cons cons 5486 def 4518 ref subst 753 ref 734 ref 932 ref 3923 ref 735 ref appTerm betaConv 5487 def appThm nil 150 ref 3921 ref nil cons cons 5488 def nil cons nil cons cons 1962 ref subst 1022 ref 64 ref 932 ref 3921 remove 69 ref appTerm 5489 def betaConv 5490 def appThm absThm appThm trans 5491 def trans absThm appThm 5492 def trans 123 ref 753 ref 734 ref 1022 ref 64 ref 734 ref 64 ref 820 ref 3920 ref appTerm 5493 def absTerm 5494 def absTerm 5495 def 735 ref appTerm betaConv 5496 def 172 ref appThm 5494 ref 69 ref appTerm betaConv 5497 def trans absThm appThm absThm appThm appThm 4569 ref 4570 ref 753 ref 734 ref 5496 remove 4573 ref appThm 5494 ref 4572 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 4574 ref 5495 remove nil cons cons nil cons nil cons cons 4575 ref subst eqMp 5498 def trans 5482 remove assume eqMp nil 83 ref 4568 ref 4570 ref 749 ref 734 ref 820 ref 739 ref 4577 remove appTerm 3905 ref 4572 ref appTerm appTerm appTerm absTerm appTerm 5499 def absTerm 5500 def appTerm 5501 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 4566 ref var 5502 def 4570 ref 68 ref 5500 ref 4571 ref appTerm 5503 def appTerm 841 ref appTerm 5504 def absTerm nil cons cons nil cons nil cons cons "A" 4583 ref cons nil cons 5505 def 43 ref cons 5506 def 222 ref subst 5507 def subst 4570 ref nil 24 ref 5504 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5503 ref nil cons 5508 def cons 1032 ref cons nil cons cons 5509 def 100 ref subst 5509 remove 157 ref subst 5503 ref betaConv 5510 def 5503 remove assume eqMp nil 83 ref 5499 ref nil cons 5511 def cons 5512 def 1032 ref cons nil cons cons 5513 def 144 ref subst proveHyp 5513 ref 100 ref subst 5513 remove 157 ref subst 1078 ref 64 ref nil 2541 ref 4439 ref nil cons cons nil cons nil cons cons 4722 remove subst 23 ref 4526 ref 67 ref 4439 ref 71 ref appTerm betaConv 5514 def absThm appThm appThm 2527 ref 67 ref 2527 ref 4527 ref 1874 ref 932 ref 5514 remove appThm appThm 1874 ref 932 ref 4439 ref 4529 ref appTerm betaConv appThm appThm 4725 ref appThm appThm absThm appThm absThm appThm appThm trans absThm appThm 123 ref 1078 ref 64 ref 23 ref 64 ref 1116 ref 4439 remove appTerm absTerm 5515 def 69 ref appTerm betaConv 5516 def appThm 64 ref 66 ref 67 ref 66 ref 4527 ref 901 ref 820 ref 4438 remove appTerm 5517 def appTerm 5518 def 901 ref 820 ref 4039 ref 4529 ref appTerm appTerm appTerm 4532 ref appTerm 5519 def appTerm absTerm appTerm absTerm appTerm absTerm 5520 def 69 ref appTerm betaConv 5521 def appThm absThm appThm appThm 23 ref 1078 ref 64 ref 5516 remove absThm appThm appThm 1078 ref 64 ref 5521 remove absThm appThm appThm appThm nil 161 ref 5515 ref nil cons cons 1446 ref 5520 remove nil cons cons nil cons cons nil cons cons 1459 ref subst eqMp 10 ref 63 ref 5515 remove appTerm appTerm refl 1078 ref 64 ref 2527 ref 67 ref 123 ref 2527 ref 4527 ref 1874 ref 5517 ref refl appThm 5522 def 4527 ref 5519 remove absTerm 5523 def 4529 ref appTerm betaConv 5524 def appThm absThm appThm appThm 5522 remove 2527 ref 4527 ref 5524 remove absThm appThm appThm appThm nil 4551 ref 5523 ref nil cons cons 83 ref 5517 remove nil cons cons nil cons cons nil cons cons 4739 ref subst eqMp absThm appThm absThm appThm appThm trans 23 ref nil 55 ref 4317 remove cons nil cons nil cons cons 1121 ref subst appThm 63 ref 64 ref 66 ref 67 ref 5518 remove 66 ref 5523 remove appTerm appTerm absTerm appTerm absTerm appTerm 5525 def refl 5526 def appThm 123 ref 23 ref 3900 ref 734 ref 734 ref 63 ref 64 ref 4039 ref 740 ref appTerm absTerm appTerm 5527 def absTerm 5528 def 735 ref appTerm betaConv 5529 def absThm appThm appThm 5526 ref appThm appThm 3900 ref 734 ref 23 ref 5529 remove appThm 5526 remove appThm absThm appThm appThm nil 4188 ref 5528 remove nil cons cons 84 ref 5525 ref nil cons cons nil cons cons nil cons cons 4598 remove subst eqMp trans trans trans 5474 remove assume eqMp nil 83 ref 1117 ref 734 ref 10 ref 5527 remove appTerm 5525 ref appTerm absTerm 5530 def appTerm 5531 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 773 ref 4253 ref 68 ref 5530 ref 4254 ref appTerm 5532 def appTerm 841 ref appTerm 5533 def absTerm nil cons cons nil cons nil cons cons 1412 ref subst 4253 ref nil 24 ref 5533 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5532 ref nil cons 5534 def cons 1032 ref cons nil cons cons 5535 def 100 ref subst 5535 remove 157 ref subst 5532 ref betaConv 5532 remove assume eqMp nil 83 ref 10 ref 63 ref 64 ref 4039 remove 4254 ref 69 ref appTerm 5536 def appTerm absTerm appTerm appTerm 5525 remove appTerm 5537 def nil cons 5538 def cons 1032 ref cons nil cons cons 5539 def 144 ref subst proveHyp 5539 ref 100 ref subst 5539 remove 157 ref subst 1078 ref 4003 ref 2527 ref 4004 ref 4347 remove 3052 ref subst 23 ref 1874 ref 4360 remove appThm 5540 def nil 4285 remove nil cons nil cons cons 4518 remove subst 753 ref 734 ref 932 ref 4186 remove appThm nil 83 ref 4112 remove cons 84 ref 4172 remove cons nil cons cons nil cons cons 1941 ref subst 1874 ref 820 ref 4009 ref appTerm 5541 def refl appThm 5542 def nil 150 ref 4164 remove cons nil cons nil cons cons 1962 ref subst 1022 ref 452 ref 932 ref 4162 remove appThm nil 83 ref 4120 remove cons 4523 remove cons nil cons cons 5543 def 1988 ref subst trans absThm appThm trans appThm trans trans absThm appThm trans appThm appThm 1874 ref 4769 ref refl appThm 5544 def 3900 ref 734 ref 23 ref 4009 remove refl appThm 1078 ref 452 ref 5543 remove 1910 ref subst absThm appThm appThm absThm appThm appThm appThm trans absThm appThm absThm appThm 1078 ref 4003 ref 123 ref 2527 ref 4004 ref 23 ref 4004 ref 901 ref 4053 remove appTerm 5545 def 749 ref 734 ref 901 ref 5541 ref appTerm 5546 def 331 ref 452 ref 10 ref 4011 ref appTerm 4537 remove appTerm 5547 def absTerm 5548 def appTerm appTerm absTerm appTerm appTerm absTerm 5549 def 4006 ref appTerm betaConv 5550 def appThm 4004 ref 4770 ref 1117 ref 734 ref 4010 remove 63 ref 452 ref 901 ref 820 ref 4011 remove appTerm appTerm 5551 def 4036 remove appTerm absTerm appTerm appTerm 5552 def absTerm 5553 def appTerm appTerm absTerm 5554 def 4006 ref appTerm betaConv 5555 def appThm absThm appThm appThm 23 ref 2527 ref 4004 ref 5550 remove absThm appThm appThm 2527 ref 4004 ref 5555 remove absThm appThm appThm appThm nil 4742 ref 5549 ref nil cons cons 4551 ref 5554 ref nil cons cons nil cons cons nil cons cons 1576 ref 1459 ref subst 5556 def subst eqMp absThm appThm 123 ref 1078 ref 4003 ref 23 ref 4003 ref 66 ref 5549 remove appTerm absTerm 5557 def 4008 ref appTerm betaConv 5558 def appThm 4003 ref 66 ref 5554 remove appTerm absTerm 5559 def 4008 ref appTerm betaConv 5560 def appThm absThm appThm appThm 23 ref 1078 ref 4003 ref 5558 remove absThm appThm appThm 1078 ref 4003 ref 5560 remove absThm appThm appThm appThm nil 161 ref 5557 remove nil cons cons 1446 ref 5559 remove nil cons cons nil cons cons nil cons cons 1459 remove subst eqMp trans 23 ref 1078 ref 4003 ref 2527 ref 4004 ref 5540 ref 753 ref 734 ref 123 ref 5542 ref 1022 ref 452 ref 5548 ref 455 ref appTerm betaConv 5561 def absThm appThm appThm appThm 1022 ref 452 ref 5542 remove 5561 remove appThm absThm appThm appThm nil 1446 ref 5548 remove nil cons cons 83 ref 5541 remove nil cons cons nil cons cons nil cons cons 2006 ref subst eqMp absThm appThm 123 ref 753 ref 734 ref 1022 ref 452 ref 734 ref 452 ref 5546 ref 5547 remove appTerm absTerm 5562 def absTerm 5563 def 735 ref appTerm betaConv 5564 def 2401 ref appThm 5562 ref 455 ref appTerm betaConv trans absThm appThm absThm appThm appThm 4569 ref 4570 ref 753 ref 734 ref 5564 remove 4573 remove appThm 5562 remove 4572 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 4574 ref 5563 remove nil cons cons nil cons nil cons cons 4575 ref subst eqMp trans appThm 123 ref 5540 ref 4569 ref 4570 ref 4570 ref 749 ref 734 ref 5546 ref 10 ref 4576 remove 4008 ref appTerm appTerm 4578 remove appTerm appTerm absTerm appTerm 5565 def absTerm 5566 def 4571 ref appTerm betaConv 5567 def absThm appThm appThm appThm 4569 ref 4570 ref 5540 remove 5567 remove appThm absThm appThm appThm nil "q" 4566 ref var 5568 def 5566 remove nil cons cons 4305 remove nil cons cons nil cons cons 5506 ref 2006 ref subst subst eqMp trans absThm appThm 123 ref 2527 ref 4004 ref 4569 ref 4570 ref 4004 ref 4570 ref 5545 ref 5565 remove appTerm absTerm 5569 def absTerm 5570 def 4006 ref appTerm betaConv 5571 def 4582 ref appThm 5569 ref 4571 ref appTerm betaConv trans absThm appThm absThm appThm appThm 4588 ref 4589 ref 2527 ref 4004 ref 5571 remove 4590 ref 4006 ref appTerm 5572 def refl appThm 5569 remove 5572 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 4593 remove 5570 remove nil cons cons nil cons nil cons cons 4595 remove subst eqMp trans absThm appThm 123 ref 1078 ref 4003 ref 4588 remove 4589 ref 4003 ref 4589 remove 66 ref 4004 ref 5545 ref 749 ref 734 ref 5546 ref 10 ref 251 ref 5572 remove 735 ref appTerm 5573 def appTerm 4008 ref appTerm appTerm 820 ref 510 ref 5573 ref appTerm 735 ref 5573 remove appTerm appTerm appTerm appTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm 5574 def absTerm 5575 def 4008 ref appTerm betaConv 5576 def 4590 ref refl appThm 5574 ref 4590 remove appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 45 ref 4621 ref cons opType 5577 def 3 ref cons opType 5578 def 3 ref cons opType 5579 def constTerm 5580 def refl 5581 def "f" 5577 ref var 5582 def 1078 ref 4003 ref 5576 remove 5582 ref varTerm 5583 def 4008 ref appTerm 5584 def refl appThm 5574 remove 5584 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 45 ref 4585 remove nil cons cons opType var 5575 remove nil cons cons nil cons nil cons cons "B" 4621 remove cons 355 ref cons 43 ref cons 1121 ref subst subst eqMp trans appThm 1078 ref 4003 ref 2527 ref 4004 ref 123 ref 5544 ref 3900 ref 734 ref 5553 ref 735 ref appTerm betaConv 5585 def absThm appThm appThm appThm 3900 ref 734 ref 5544 remove 5585 remove appThm absThm appThm appThm nil 4190 ref 5553 remove nil cons cons 83 ref 4769 remove nil cons cons nil cons cons nil cons cons 4630 ref subst eqMp absThm appThm 123 ref 2527 ref 4004 ref 3900 ref 734 ref 4004 ref 734 ref 4770 ref 5552 remove appTerm absTerm 5586 def absTerm 5587 def 4006 ref appTerm betaConv 5588 def 4779 ref appThm 5586 ref 735 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 46 ref 770 ref cons opType 5589 def 3 ref cons opType 5590 def 3 ref cons opType constTerm refl 5591 def "f" 5589 ref var 5592 def 2527 ref 4004 ref 5588 remove 5592 ref varTerm 5593 def 4006 ref appTerm 5594 def refl appThm 5586 remove 5594 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 46 ref 731 ref cons opType var 5587 remove nil cons cons nil cons nil cons cons 4787 ref 1575 ref cons 43 ref cons 1121 ref subst subst eqMp trans absThm appThm 123 ref 1078 ref 4003 ref 5591 remove 5592 ref 4003 ref 5592 remove 66 ref 4004 ref 4770 ref 10 ref 4007 ref 3904 ref 5594 ref appTerm 4008 ref appTerm appTerm appTerm 63 ref 452 ref 5551 ref 4035 ref 5594 remove 455 ref appTerm appTerm appTerm absTerm appTerm appTerm appTerm absTerm appTerm absTerm 5595 def absTerm 5596 def 4008 ref appTerm betaConv 5597 def 5593 ref refl appThm 5595 ref 5593 remove appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 45 ref 5589 remove nil cons 5598 def cons opType 5599 def 3 ref cons opType 5600 def 3 ref cons opType 5601 def constTerm 5602 def refl 5603 def "f" 5599 ref var 5604 def 1078 ref 4003 ref 5597 remove 5604 ref varTerm 5605 def 4008 ref appTerm 5606 def refl appThm 5595 remove 5606 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 45 ref 5590 remove nil cons cons opType var 5596 remove nil cons cons nil cons nil cons cons "B" 5598 remove cons 355 ref cons 43 ref cons 1121 ref subst subst eqMp trans appThm 123 ref 23 ref 5581 ref 5582 ref 5582 ref 63 ref 4003 ref 66 ref 4004 ref 5545 ref 749 ref 734 ref 5546 ref 10 ref 251 ref 5584 remove 4006 ref appTerm 735 ref appTerm 5607 def appTerm 4008 ref appTerm appTerm 820 ref 510 ref 5607 ref appTerm 735 ref 5607 remove appTerm appTerm appTerm appTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm 5608 def absTerm 5609 def 5583 remove appTerm betaConv 5610 def absThm appThm appThm 5602 ref 5604 ref 63 ref 4003 ref 66 ref 4004 ref 4770 ref 10 ref 4007 ref 3904 ref 5606 remove 4006 ref appTerm 5611 def appTerm 4008 ref appTerm appTerm appTerm 63 ref 452 ref 5551 ref 4035 ref 5611 remove 455 ref appTerm appTerm appTerm absTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm 5612 def absTerm 5613 def appTerm 5614 def refl 5615 def appThm appThm 5581 ref 5582 ref 23 ref 5610 remove appThm 5615 remove appThm absThm appThm appThm nil "p" 5578 ref var 5609 remove nil cons cons 84 ref 5614 remove nil cons cons nil cons cons nil cons cons "A" 5577 ref nil cons cons nil cons 5616 def 43 ref cons 5617 def 2659 ref subst subst eqMp 5581 remove 5582 ref 123 ref 10 ref 5608 ref appTerm 5618 def refl 5619 def 5603 ref 5604 ref 5613 ref 5605 remove appTerm betaConv 5620 def absThm appThm appThm appThm 5603 remove 5604 ref 5619 remove 5620 remove appThm absThm appThm appThm nil "q" 5600 ref var 5613 remove nil cons cons 83 ref 5608 remove nil cons cons nil cons cons nil cons cons "A" 5599 ref nil cons cons nil cons 5621 def 43 ref cons 5622 def 2353 ref subst subst eqMp absThm appThm trans trans trans trans 4073 remove assume eqMp nil 83 ref 5580 remove 5582 remove 5602 ref 5604 ref 5618 remove 5612 ref appTerm absTerm appTerm absTerm 5623 def appTerm 5624 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 5578 remove var 5625 def "f''" 5577 ref var 5626 def 68 ref 5623 ref 5626 ref varTerm 5627 def appTerm 5628 def appTerm 841 ref appTerm 5629 def absTerm nil cons cons nil cons nil cons cons 5617 remove 222 ref subst subst 5626 remove nil 24 ref 5629 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5628 ref nil cons 5630 def cons 1032 ref cons nil cons cons 5631 def 100 ref subst 5631 remove 157 ref subst 5628 ref betaConv 5628 remove assume eqMp nil 83 ref 5602 remove 5604 remove 10 ref 63 ref 4003 ref 66 ref 4004 ref 5545 remove 749 ref 734 ref 5546 remove 10 ref 251 ref 5627 remove 4008 ref appTerm 4006 ref appTerm 735 ref appTerm 5632 def appTerm 4008 ref appTerm appTerm 820 ref 510 remove 5632 ref appTerm 735 ref 5632 remove appTerm appTerm appTerm appTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm 5633 def 5612 remove appTerm absTerm 5634 def appTerm 5635 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 5600 remove var 5636 def "f'''" 5599 ref var 5637 def 68 ref 5634 ref 5637 ref varTerm 5638 def appTerm 5639 def appTerm 841 ref appTerm 5640 def absTerm nil cons cons nil cons nil cons cons 5622 remove 222 ref subst subst 5637 remove nil 24 ref 5640 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5639 ref nil cons 5641 def cons 1032 ref cons nil cons cons 5642 def 100 ref subst 5642 remove 157 ref subst 5639 ref betaConv 5639 remove assume eqMp nil 83 ref 5633 remove 63 ref 4003 remove 66 ref 4004 remove 4770 remove 10 ref 4007 remove 3904 ref 5638 remove 4008 ref appTerm 4006 remove appTerm 5643 def appTerm 4008 remove appTerm appTerm appTerm 63 ref 452 ref 5551 remove 4035 remove 5643 remove 455 ref appTerm appTerm appTerm absTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm nil cons 5644 def cons 1032 ref cons nil cons cons 5645 def 144 ref subst proveHyp 5645 ref 100 ref subst 5645 remove 157 ref subst 4803 remove 4810 remove 4805 remove 4811 remove 4814 remove 4815 remove 4821 remove 4828 remove 4823 remove 4829 remove 4832 remove 4833 remove 4837 remove 4838 remove 4839 remove 4866 remove 4875 remove 4868 remove 4876 remove 4879 remove 4880 remove 4885 remove 4886 remove 4887 remove 4929 remove 4939 remove 4931 ref 4940 remove 4943 remove 4944 remove 4952 remove 4953 remove 4954 remove 948 ref 161 ref nil 83 ref 266 remove nil cons 5646 def cons 5647 def 84 ref 268 ref nil cons 5648 def cons nil cons 5649 def cons nil cons cons 5650 def 1910 ref subst 1874 ref nil 150 ref 265 ref nil cons cons 5651 def nil cons nil cons cons 1962 ref subst 1022 ref 64 ref 932 ref 265 remove 69 ref appTerm 5652 def betaConv 5653 def appThm nil 83 ref 261 ref nil cons 5654 def cons 2110 remove cons nil cons cons 1988 ref subst 23 ref 1078 ref 255 ref nil 4669 ref 84 ref 1065 remove cons nil cons cons nil cons cons 1910 ref subst absThm appThm appThm 952 ref refl appThm trans trans absThm appThm trans appThm 268 ref refl 5655 def appThm trans absThm appThm 948 ref 161 ref 123 ref 1874 ref 1022 ref 64 ref 64 ref 10 ref 63 ref 255 ref 4747 ref 260 ref appTerm absTerm appTerm appTerm 952 remove appTerm 5656 def absTerm 5657 def 69 ref appTerm betaConv 5658 def absThm appThm appThm 5655 ref appThm appThm 1022 ref 64 ref 1874 ref 5658 remove appThm 5655 ref appThm absThm appThm appThm nil 161 ref 5657 remove nil cons cons 5649 ref cons nil cons cons 2027 ref subst eqMp absThm appThm 123 ref 948 ref 161 ref 1022 ref 64 ref 161 ref 64 ref 901 ref 5656 remove appTerm 268 ref appTerm absTerm 5659 def absTerm 5660 def 163 ref appTerm betaConv 5661 def 172 ref appThm 5659 ref 69 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 1495 ref 3 ref cons opType 5662 def 3 ref cons opType 5663 def constTerm 5664 def refl "f" 1495 ref var 5665 def 948 ref 161 ref 5661 remove 5665 ref varTerm 163 ref appTerm 5666 def refl appThm 5659 remove 5666 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 4963 ref var 5660 remove nil cons cons nil cons nil cons cons 1115 ref 539 ref cons 43 ref cons 1121 ref subst subst eqMp trans trans 271 remove assume eqMp nil 83 ref 5664 remove 5665 remove 254 ref 161 ref 901 ref 10 ref 63 ref 255 ref 901 ref 820 ref 257 ref 5666 ref appTerm appTerm appTerm 260 ref appTerm absTerm appTerm appTerm 820 ref 163 ref 5666 remove appTerm appTerm appTerm appTerm 268 ref appTerm absTerm appTerm absTerm 5667 def appTerm 5668 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 5662 remove var 5669 def "f''''''''" 1495 ref var 5670 def 68 ref 5667 ref 5670 ref varTerm 5671 def appTerm 5672 def appTerm 841 ref appTerm 5673 def absTerm nil cons cons nil cons nil cons cons "A" 1495 ref nil cons cons nil cons 5674 def 43 ref cons 222 ref subst subst 5670 remove nil 24 ref 5673 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5672 ref nil cons 5675 def cons 1032 ref cons nil cons cons 5676 def 100 ref subst 5676 remove 157 ref subst 5672 ref betaConv 5672 remove assume eqMp nil 83 ref 254 ref 161 ref 901 ref 10 ref 63 ref 255 ref 901 ref 820 ref 257 ref 5671 remove 163 ref appTerm 5677 def appTerm appTerm appTerm 260 remove appTerm absTerm appTerm appTerm 820 ref 163 ref 5677 remove appTerm appTerm appTerm appTerm 268 ref appTerm absTerm appTerm nil cons 5678 def cons 1032 ref cons nil cons cons 5679 def 144 ref subst proveHyp 5679 ref 100 ref subst 5679 remove 157 ref subst nil "_13619" 45 ref var 5680 def 5015 ref 5016 ref 4869 ref appTerm 5681 def 4254 ref appTerm appTerm 5354 ref 4571 ref appTerm 5682 def 4254 ref appTerm 5683 def appTerm 5684 def nil cons cons nil cons nil cons cons 64 ref 5237 ref 4975 ref 69 ref appTerm 5685 def appTerm absTerm 5686 def 5680 ref varTerm 5687 def appTerm 5688 def betaConv 23 ref 1078 ref 64 ref 4231 ref 172 ref appThm 5689 def nil 5445 ref nil cons nil cons cons 5149 ref subst appThm 5243 ref 5685 ref refl appThm nil 5244 ref 2556 ref 5685 remove nil cons cons nil cons cons nil cons cons 5167 ref subst trans trans absThm appThm appThm 1078 ref 64 ref 2527 ref 67 ref 5245 remove 2527 ref 4527 ref 1874 ref 932 ref 5243 ref 5334 remove appThm nil 5244 ref 5335 remove cons nil cons cons 5167 ref subst trans appThm appThm 4725 remove appThm absThm appThm appThm absThm appThm absThm appThm appThm 5537 remove assume eqMp 5690 def nil 119 ref 63 ref 5686 ref appTerm nil cons 5691 def cons 121 ref 63 ref 64 ref 66 ref 67 ref 5239 ref 66 ref 4527 ref 901 ref 820 ref 5237 ref 4529 ref appTerm appTerm appTerm 4532 ref appTerm 5692 def absTerm 5693 def appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 5694 def 135 ref subst proveHyp nil 83 ref 5691 remove cons 84 ref 5688 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 5686 remove nil cons cons 64 ref 5687 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 5695 def subst nil 83 ref 4970 ref 4972 ref 5684 ref appTerm appTerm 4975 ref 5684 remove appTerm appTerm nil cons cons 84 ref 4970 ref 4972 ref 5683 ref appTerm appTerm 5696 def 4960 remove 5683 ref appTerm 5697 def appTerm 5698 def nil cons 5699 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_13606" 45 ref var 5700 def 5683 ref nil cons 5701 def cons "_13605" 728 ref var 5702 def 5022 ref cons nil cons cons nil cons cons nil 836 ref 820 ref 4970 ref 4972 ref 5015 ref 5681 ref 5702 remove varTerm 5703 def appTerm appTerm 5704 def 5700 remove varTerm 5705 def appTerm 5706 def appTerm appTerm 4956 ref 5703 ref appTerm 5707 def 5706 ref appTerm appTerm 5708 def appTerm 5709 def nil cons 5710 def cons 838 ref 4970 ref 4972 ref 5705 ref appTerm appTerm 4956 ref 4958 ref 5703 ref appTerm appTerm 5711 def 5705 ref appTerm appTerm 5712 def nil cons 5713 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 5708 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 5712 ref refl appThm trans nil 84 ref 5713 remove cons 83 ref 5710 remove cons nil cons cons nil cons cons 2097 ref subst 64 ref 10 ref 901 ref 4964 ref 4966 ref 5704 remove 69 ref appTerm 5714 def appTerm appTerm 69 ref appTerm appTerm 5237 ref 5711 remove 69 ref appTerm appTerm 5715 def appTerm appTerm 901 ref 820 ref 4970 ref 4972 ref 5714 ref appTerm appTerm 5707 remove 5714 remove appTerm appTerm appTerm appTerm 5715 remove appTerm appTerm absTerm 5716 def 5705 ref appTerm 5717 def betaConv 734 ref 63 ref 64 ref 10 ref 901 ref 4964 ref 4966 ref 5015 ref 5681 remove 735 ref appTerm 5718 def appTerm 69 ref appTerm 5719 def appTerm 5720 def appTerm 69 ref appTerm 5721 def appTerm 5237 remove 5077 remove appTerm 5722 def appTerm appTerm 901 ref 820 ref 4970 ref 4972 ref 5719 ref appTerm 5723 def appTerm 5080 ref 5719 ref appTerm 5724 def appTerm appTerm 5725 def appTerm 5722 ref appTerm appTerm absTerm appTerm absTerm 5726 def 5703 ref appTerm 5727 def betaConv 753 ref 734 ref 1078 ref 64 ref nil 838 ref 5721 remove nil cons cons 836 ref 5725 remove nil cons cons 1605 ref 5722 remove nil cons cons nil cons cons cons nil cons cons 5138 ref subst absThm appThm absThm appThm 753 ref 734 ref 1078 ref 64 ref 1874 ref 23 ref 1222 ref nil 4854 ref 4869 remove nil cons cons 776 ref cons nil cons cons 5151 ref subst 172 ref appThm nil 1111 ref 5718 remove nil cons cons nil cons nil cons cons 5152 ref subst trans 5728 def appThm 172 ref appThm nil 5154 ref 64 ref 5719 remove nil cons cons nil cons 5729 def cons nil cons cons 5156 ref subst 172 ref appThm nil 784 ref 5720 remove nil cons cons nil cons nil cons cons 5157 ref subst trans trans appThm 932 ref 4231 remove 5728 ref appThm 4779 ref 5728 remove appThm nil 5729 ref nil cons cons 5149 ref subst trans appThm nil 5242 remove 5729 remove cons nil cons cons 5165 ref subst 5724 ref refl appThm nil 5166 ref 5723 remove nil cons cons 2556 ref 5724 remove nil cons cons nil cons cons nil cons cons 5167 ref subst trans trans appThm appThm appThm 5689 remove 5175 remove appThm 5243 remove 5180 remove appThm nil 5244 remove 5182 remove cons nil cons cons 5167 ref subst trans trans appThm absThm appThm absThm appThm 4882 remove assume eqMp eqMp nil 83 ref 749 ref 5726 ref appTerm nil cons cons 84 ref 5727 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 5726 remove nil cons cons 774 ref 5703 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 5716 ref appTerm nil cons cons 84 ref 5717 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 5716 remove nil cons cons 64 ref 5705 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 119 ref 901 ref 4964 ref 4966 ref 5706 remove appTerm appTerm 5705 remove appTerm appTerm 5712 ref appTerm nil cons cons 121 ref 901 ref 5709 remove appTerm 5712 remove appTerm nil cons cons nil cons cons nil cons cons 581 ref subst proveHyp eqMp eqMp subst eqMp nil 83 ref 5699 remove cons 84 ref 5696 remove 4975 ref 5683 remove appTerm 5730 def appTerm 5731 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 5680 remove 5701 ref cons nil cons nil cons cons 5695 remove subst eqMp nil 83 ref 10 ref 5698 remove appTerm 5731 remove appTerm nil cons cons 84 ref 739 ref 5730 ref appTerm 5697 ref appTerm nil cons 5732 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_13622" 46 ref var 5733 def 5730 remove nil cons cons "_13621" 46 ref var 5734 def 5697 remove nil cons cons "_13620" 45 ref var 5735 def 5701 remove cons nil cons cons cons nil cons cons nil 836 ref 901 ref 820 ref 4970 ref 4972 remove 5735 remove varTerm 5736 def appTerm appTerm 5737 def 5734 remove varTerm 5738 def appTerm 5739 def appTerm 5740 def appTerm 5741 def 820 ref 5737 ref 5733 remove varTerm 5742 def appTerm 5743 def appTerm 5744 def appTerm nil cons cons 838 ref 739 ref 5742 ref appTerm 5738 ref appTerm 5745 def nil cons 5746 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 5744 remove nil cons 5747 def cons 838 ref 5740 remove nil cons 5748 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 5739 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm nil 838 ref 5743 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm trans appThm 5745 remove refl appThm trans 5741 ref refl nil 84 ref 5746 remove cons 5749 def 83 ref 5747 ref cons nil cons cons nil cons cons 2097 ref subst appThm nil 917 ref 5747 remove cons 5749 remove 83 ref 5748 remove cons nil cons cons cons nil cons cons 2174 ref subst trans 4527 ref 5741 remove 901 ref 820 ref 5737 ref 4529 ref appTerm appTerm appTerm 5750 def 4531 remove 5738 ref appTerm appTerm appTerm absTerm 5751 def 5742 ref appTerm 5752 def betaConv 67 ref 66 ref 4527 ref 901 ref 820 ref 5737 remove 71 ref appTerm appTerm appTerm 5750 remove 4532 remove appTerm appTerm absTerm appTerm absTerm 5753 def 5738 ref appTerm 5754 def betaConv 64 ref 66 ref 67 ref 66 ref 4527 ref 5239 ref 5692 remove appTerm absTerm appTerm absTerm appTerm absTerm 5755 def 5736 ref appTerm 5756 def betaConv 1078 ref 64 ref 2527 ref 67 ref 123 ref 5239 remove refl 5757 def 2527 ref 4527 ref 5693 ref 4529 remove appTerm betaConv 5758 def absThm appThm appThm appThm 2527 ref 4527 remove 5757 remove 5758 remove appThm absThm appThm appThm nil 4551 ref 5693 remove nil cons cons 83 ref 5238 remove nil cons cons nil cons cons nil cons cons 5309 remove subst eqMp absThm appThm absThm appThm 5690 remove 5694 remove 581 ref subst proveHyp eqMp nil 83 ref 63 ref 5755 ref appTerm nil cons cons 84 ref 5756 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 5755 remove nil cons cons 64 ref 5736 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 66 ref 5753 ref appTerm nil cons cons 84 ref 5754 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 5753 remove nil cons cons 2556 ref 5738 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 66 ref 5751 ref appTerm nil cons cons 84 ref 5752 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 5751 remove nil cons cons 2556 ref 5742 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 5732 remove cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_13600" 728 ref var 5759 def 5022 remove cons nil cons nil cons cons nil 83 ref 739 ref 4956 ref 5759 remove varTerm 5760 def appTerm 5682 ref 5760 ref appTerm 5761 def appTerm appTerm 4956 ref 4958 ref 5760 ref appTerm appTerm 5761 remove appTerm appTerm nil cons cons nil cons nil cons cons 2222 ref subst 734 ref 820 ref 739 ref 5080 ref 5682 remove 735 ref appTerm 5762 def appTerm appTerm 5076 ref 5762 ref appTerm appTerm appTerm absTerm 5763 def 5760 ref appTerm 5764 def betaConv 753 ref 734 ref 932 ref 1550 ref 4779 ref 5145 remove 5438 ref subst 5765 def appThm nil 64 ref 5762 ref nil cons cons nil cons 5766 def nil cons cons 5149 ref subst trans appThm 3904 ref refl 5767 def 4779 ref appThm 5768 def 5765 remove appThm 5173 ref 5762 remove refl appThm nil 5174 ref 5766 remove cons nil cons cons 5149 ref subst trans trans appThm appThm absThm appThm 5499 ref assume eqMp nil 83 ref 749 ref 5763 ref appTerm nil cons cons 84 ref 5764 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 5763 remove nil cons cons 774 ref 5760 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 5678 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 5675 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 5663 remove constTerm "x" 1495 remove var 5769 def 68 ref 5667 ref 5769 remove varTerm appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 5668 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 5674 remove 5669 remove 5667 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp 5448 remove deductAntisym eqMp eqMp eqMp 5449 remove deductAntisym eqMp eqMp absThm eqMp 5453 remove proveHyp 5454 remove eqMp eqMp eqMp 5455 remove deductAntisym eqMp eqMp eqMp 5456 remove deductAntisym eqMp eqMp absThm eqMp 5460 remove proveHyp 5461 remove eqMp eqMp eqMp 5462 remove deductAntisym eqMp eqMp eqMp 5463 remove deductAntisym eqMp eqMp absThm eqMp 5465 remove proveHyp 5466 remove eqMp eqMp eqMp 5467 remove deductAntisym eqMp eqMp absThm eqMp 5469 remove proveHyp 5470 remove eqMp eqMp eqMp nil 119 ref 5644 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 5641 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 5601 remove constTerm "x" 5599 remove var 5770 def 68 ref 5634 ref 5770 remove varTerm appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 5635 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 5621 remove 5636 remove 5634 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 5630 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 5579 remove constTerm "x" 5577 remove var 5771 def 68 ref 5623 ref 5771 remove varTerm appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 5624 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 5616 remove 5625 remove 5623 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 5538 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 5534 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 749 ref 774 ref 68 ref 5530 ref 4284 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 5531 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 5530 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 5511 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 5508 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 4567 remove constTerm 5772 def "x" 4565 ref var 5773 def 68 ref 5500 ref 5773 ref varTerm 5774 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 5501 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 5505 ref 5502 ref 5500 remove nil cons 5775 def cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 5483 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 119 ref 4428 remove cons 121 ref 3925 remove cons nil cons 5776 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 4080 remove cons 5776 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 78 ref 148 ref 68 ref 4373 remove appTerm 3924 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 4374 remove appTerm 3924 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 147 ref 4425 remove cons 5776 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 4000 remove cons 5777 def 5776 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 119 ref 3986 ref cons 5778 def 121 ref 3978 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 5779 def nil 83 ref 275 ref 3980 ref appTerm 5780 def nil cons cons 84 ref 3981 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 3980 remove nil cons cons 283 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp nil 83 ref 3978 ref cons 5781 def 84 ref 3972 ref 3968 ref appTerm nil cons 5782 def cons nil cons cons nil cons cons 5783 def 144 ref subst proveHyp 5783 ref 100 ref subst 5783 remove 157 ref subst nil 3989 ref 3968 remove nil cons cons 5784 def nil cons nil cons cons 3995 ref subst 3903 ref nil 24 ref 3967 remove nil cons cons nil cons nil cons cons 33 ref subst 3965 ref 100 ref subst 3965 remove 157 ref subst nil 5781 ref 3926 remove cons nil cons cons 5785 def 144 ref subst nil 3964 remove 84 ref 68 ref 3977 remove appTerm 3924 ref appTerm 5786 def nil cons 5787 def cons nil cons 5788 def cons nil cons cons 144 ref subst nil 147 remove 50 ref 68 ref 3939 ref 58 ref appTerm 5789 def appTerm 5786 ref appTerm 5790 def absTerm nil cons cons nil cons nil cons cons 3999 remove subst 50 remove nil 24 ref 5790 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5789 ref nil cons 5791 def cons 5788 ref cons nil cons cons 5792 def 100 ref subst 5792 remove 157 ref subst 5789 ref betaConv 5789 remove assume eqMp nil 4001 remove 5788 remove cons nil cons cons 5793 def 144 ref subst proveHyp 5793 ref 100 ref subst 5793 remove 157 ref subst 5785 ref 100 ref subst 5785 remove 157 ref subst 4002 remove 144 ref subst 3974 remove 58 remove appTerm 5794 def betaConv 3976 remove 3904 ref appTerm 5795 def betaConv nil 5781 remove 84 ref 5795 remove nil cons cons nil cons cons nil cons cons 144 ref subst 3993 ref 3990 remove "x" 3902 ref var 5796 def 5169 ref cons nil cons 5797 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3996 remove cons 84 ref 5794 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 ref 3997 remove 175 remove cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 3978 remove cons 5798 def 5776 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 5777 remove 121 ref 5787 remove cons nil cons 5799 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 5791 remove cons 5799 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 78 remove 148 remove 68 ref 3939 remove 4371 remove appTerm appTerm 5786 ref appTerm absTerm appTerm nil cons cons 84 ref 3966 remove 5786 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 146 remove 3960 remove 5799 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp nil 119 ref 3963 remove cons 5776 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 5798 remove 121 ref 5782 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 83 ref 5782 remove cons 84 ref 3969 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3993 ref 5784 remove 5797 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 3918 remove cons 5800 def 5776 remove cons nil cons cons 135 ref subst deductAntisym eqMp 5801 def subst eqMp eqMp nil 83 ref 3894 remove cons 3862 remove cons nil cons cons 144 ref subst nil 773 ref 734 ref 68 ref 3891 ref appTerm 3847 ref appTerm 5802 def absTerm 5803 def nil cons cons nil cons nil cons cons 1412 ref subst 734 ref nil 24 ref 5802 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3891 ref nil cons 5804 def cons 5805 def 84 ref 3847 remove nil cons 5806 def cons nil cons cons nil cons cons 5807 def 100 ref subst 5807 remove 157 ref subst 1078 ref 64 ref 3828 ref refl 5808 def 3890 ref 69 ref appTerm 5809 def betaConv nil 5805 remove 84 ref 5809 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 3890 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp appThm absThm appThm sym 1078 ref 64 ref 123 ref 3843 ref 3869 ref appTerm betaConv 5810 def appThm 3844 ref refl 5811 def appThm 1575 ref 4742 ref 3843 ref nil cons 5812 def cons nil cons nil cons cons 27 ref 163 ref 2486 remove appTerm 5813 def appTerm refl nil 337 remove 161 ref 5813 ref absTerm 5814 def appTerm axiom 1227 remove appThm 5814 remove 163 ref appTerm betaConv trans appThm nil 315 ref 5813 ref nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 5815 def subst eqMp absThm appThm sym nil 83 ref 63 ref 64 ref 68 ref 63 ref 255 ref 259 ref 1116 ref 67 ref 3827 ref 256 ref appTerm 5816 def 71 ref appTerm 5817 def absTerm 5818 def appTerm 5819 def appTerm absTerm appTerm 5820 def appTerm 3844 ref appTerm 5821 def absTerm 5822 def appTerm 5823 def nil cons 5824 def cons 5825 def nil cons nil cons cons 1777 ref subst sym 5826 def 1078 ref 64 ref 3870 remove 740 ref appTerm 5827 def assume sym 3889 remove assume sym deductAntisym absThm appThm 3891 remove assume eqMp nil 83 ref 63 ref 64 ref 5827 remove absTerm appTerm 5828 def nil cons cons 84 ref 68 ref 820 ref 5823 ref appTerm appTerm 841 ref appTerm 5829 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 83 ref 3866 ref cons 5830 def 84 ref 68 ref 5828 remove appTerm 5829 ref appTerm 5831 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 3888 ref 84 ref 68 ref 3845 ref appTerm 5832 def 5831 remove appTerm 5833 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 3811 ref 84 ref 68 ref 3839 ref appTerm 5834 def 5833 remove appTerm 5835 def nil cons cons nil cons cons nil cons cons 144 ref subst 248 ref 60 ref 0 ref 0 ref 0 ref 3812 ref 3991 ref cons opType 5836 def 3 ref cons opType 5837 def 3 ref cons opType constTerm 5838 def "_14068" 5836 ref var 5839 def 68 ref 3814 ref 3815 ref 749 ref 734 ref 63 ref 64 ref 66 ref 2556 ref 68 ref 3828 ref 5471 ref appTerm 5840 def appTerm 5841 def 3828 ref 5839 ref varTerm 5842 def 3826 ref appTerm 5843 def 735 ref appTerm 5844 def 69 ref appTerm 5845 def appTerm 5846 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm 5847 def appTerm 5848 def 446 ref 5834 ref 5832 ref 68 ref 63 ref 64 ref 739 ref 5845 remove appTerm 5849 def 740 ref appTerm absTerm appTerm 5850 def appTerm 5851 def 5829 ref appTerm appTerm appTerm appTerm appTerm absTerm 5852 def appTerm 5853 def absTerm 5854 def 251 ref appTerm 5855 def betaConv 3815 ref 275 ref 5854 ref appTerm 5856 def absTerm 5857 def 3826 ref appTerm 5858 def betaConv 734 ref 3814 ref 5857 ref appTerm 5859 def absTerm 5860 def 735 ref appTerm 5861 def betaConv 753 ref 734 ref 3814 ref refl 5862 def 3815 ref 3982 ref 248 ref 5838 ref refl 5839 ref 5848 ref refl 446 ref refl 5863 def 5834 ref refl 5864 def 5832 ref refl 5865 def 5851 ref refl 5826 remove appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 773 ref 734 ref 3814 ref 3815 ref 275 ref 248 ref 5838 remove 5839 ref 5848 remove 446 ref 5834 remove 5832 remove 5851 remove 5823 remove appTerm 5866 def appTerm 5867 def appTerm 5868 def appTerm 5869 def appTerm 5870 def absTerm 5871 def appTerm 5872 def absTerm 5873 def appTerm 5874 def absTerm 5875 def appTerm 5876 def absTerm nil cons cons nil cons nil cons cons 1412 ref subst 734 ref nil 24 ref 5876 remove nil cons cons nil cons nil cons cons 33 ref subst nil 3855 ref 5875 remove nil cons cons nil cons nil cons cons 3859 ref subst 3815 ref nil 24 ref 5874 remove nil cons cons nil cons nil cons cons 33 ref subst nil 280 ref 5873 remove nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 5872 remove nil cons cons nil cons nil cons cons 33 ref subst nil "P" 5837 ref var 5877 def 5871 remove nil cons cons nil cons nil cons cons "A" 5836 ref nil cons 5878 def cons nil cons 5879 def 43 ref cons 222 ref subst subst 5839 ref nil 24 ref 5870 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5847 ref nil cons 5880 def cons 84 ref 5869 remove nil cons 5881 def cons nil cons cons nil cons cons 5882 def 100 ref subst 5882 remove 157 ref subst nil 3811 ref 84 ref 5868 remove nil cons 5883 def cons nil cons cons nil cons cons 5884 def 100 ref subst 5884 remove 157 ref subst nil 3888 remove 84 ref 5867 remove nil cons 5885 def cons nil cons cons nil cons cons 5886 def 100 ref subst 5886 remove 157 ref subst nil 5830 remove 84 ref 5866 remove nil cons 5887 def cons nil cons cons nil cons cons 5888 def 100 ref subst 5888 remove 157 ref subst nil 83 ref 5850 ref nil cons 5889 def cons 84 ref 5824 ref cons nil cons cons nil cons cons 5890 def 100 ref subst 5890 remove 157 ref subst nil 150 ref 5822 remove nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 5821 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5820 ref nil cons 5891 def cons 84 ref 3844 ref nil cons 5892 def cons nil cons 5893 def cons nil cons cons 5894 def 100 ref subst 5894 remove 157 ref subst nil 83 ref 5892 ref cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 3844 ref appTerm 5895 def nil cons 5896 def cons 1032 ref cons nil cons cons 5897 def 100 ref subst 5897 remove 157 ref subst 1078 ref 255 ref nil 4669 remove 84 ref 5819 remove nil cons cons nil cons cons nil cons cons 1910 ref subst absThm appThm 1078 ref 255 ref 123 ref 4671 ref 4526 ref 67 ref 5818 ref 71 ref appTerm betaConv 5898 def absThm appThm appThm appThm 4526 ref 67 ref 4671 remove 5898 remove appThm absThm appThm appThm nil 4551 ref 5818 remove nil cons cons 4746 remove cons nil cons cons 4628 ref subst eqMp absThm appThm 123 ref 1078 ref 255 ref 4526 ref 67 ref 255 ref 67 ref 4747 ref 5817 remove appTerm absTerm 5899 def absTerm 5900 def 256 ref appTerm betaConv 5901 def 4751 ref appThm 5899 ref 71 ref appTerm betaConv trans absThm appThm absThm appThm appThm 3900 ref 4253 ref 1078 ref 255 ref 5901 remove 4254 ref 256 ref appTerm 5902 def refl appThm 5899 remove 5902 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 55 ref 5900 remove nil cons cons nil cons nil cons cons 1121 ref subst eqMp trans trans 5820 remove assume eqMp nil 83 ref 1117 ref 4253 ref 63 ref 255 ref 4747 remove 5816 remove 5902 remove appTerm appTerm absTerm appTerm 5903 def absTerm 5904 def appTerm 5905 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 773 ref 4253 ref 68 ref 5904 ref 4254 ref appTerm 5906 def appTerm 841 ref appTerm 5907 def absTerm nil cons cons nil cons nil cons cons 1412 ref subst 4253 ref nil 24 ref 5907 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5906 ref nil cons 5908 def cons 1032 ref cons nil cons cons 5909 def 100 ref subst 5909 remove 157 ref subst 5906 ref betaConv 5906 remove assume eqMp nil 83 ref 5903 ref nil cons 5910 def cons 1032 ref cons nil cons cons 5911 def 144 ref subst proveHyp 5911 ref 100 ref subst 5911 remove 157 ref subst 753 ref 734 ref 1078 ref 64 ref nil 83 ref 3842 remove nil cons cons 5893 ref cons nil cons cons 1910 ref subst 1874 ref nil 150 ref 3841 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 452 ref 932 ref 3841 remove 455 ref appTerm betaConv appThm nil 4522 ref 84 ref 3840 ref nil cons cons nil cons cons nil cons cons 1988 ref subst trans absThm appThm trans appThm 5811 ref appThm trans absThm appThm absThm appThm 753 ref 734 ref 1078 ref 64 ref 123 ref 1874 ref 1022 ref 452 ref 452 ref 4536 ref 820 ref 3840 remove appTerm appTerm 5912 def absTerm 5913 def 455 ref appTerm betaConv 5914 def absThm appThm appThm 5811 ref appThm appThm 1022 ref 452 ref 1874 ref 5914 remove appThm 5811 remove appThm absThm appThm appThm nil 161 ref 5913 remove nil cons cons 5893 remove cons nil cons cons 2027 ref subst eqMp 1022 ref 452 ref 123 ref 901 ref 5912 ref appTerm 5915 def refl 5916 def 4526 ref 67 ref 3843 ref 71 ref appTerm betaConv 5917 def absThm appThm appThm appThm 4526 ref 67 ref 5916 remove 5917 ref appThm absThm appThm appThm nil 4551 ref 5812 ref cons 83 ref 5912 remove nil cons cons nil cons cons nil cons cons 4628 remove subst eqMp absThm appThm trans absThm appThm 123 ref 1078 ref 64 ref 1022 ref 452 ref 64 ref 452 ref 1116 remove 67 ref 5915 remove 3829 ref appTerm absTerm appTerm absTerm 5918 def absTerm 5919 def 69 ref appTerm betaConv 5920 def 2401 ref appThm 5918 ref 455 ref appTerm betaConv trans absThm appThm absThm appThm appThm 1110 ref 1111 ref 1078 ref 64 ref 5920 remove 1114 ref appThm 5918 remove 1113 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 248 ref 5919 remove nil cons cons nil cons nil cons cons 1122 ref subst eqMp 1110 ref 1111 ref 123 ref 1078 ref 64 ref 4526 remove 67 ref 64 ref 67 ref 901 ref 4844 ref 820 ref 3827 ref 1113 ref appTerm 4845 remove appTerm appTerm appTerm appTerm 5921 def 3829 ref appTerm absTerm 5922 def absTerm 5923 def 69 ref appTerm betaConv 5924 def 4751 remove appThm 5922 ref 71 ref appTerm betaConv trans absThm appThm absThm appThm appThm 3900 ref 4253 ref 1078 ref 64 ref 5924 remove 4254 ref refl 5925 def 172 ref appThm appThm 5922 remove 5536 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 55 remove 5923 remove nil cons cons nil cons nil cons cons 1121 ref subst eqMp absThm appThm trans trans absThm appThm 123 ref 753 ref 734 ref 1110 ref 1111 ref 734 ref 1111 ref 1117 ref 4253 ref 63 ref 64 ref 5921 remove 3828 ref 5536 ref appTerm 5926 def appTerm absTerm appTerm absTerm appTerm absTerm 5927 def absTerm 5928 def 735 ref appTerm betaConv 5929 def 1231 ref appThm 5927 ref 1112 ref appTerm betaConv trans absThm appThm absThm appThm appThm 4853 ref 4854 ref 753 ref 734 ref 5929 remove 4857 remove appThm 5927 remove 4856 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 4858 ref 5928 remove nil cons cons nil cons nil cons cons 4860 ref subst eqMp 4853 ref 4854 ref 123 ref 753 ref 734 ref 3900 ref 4253 ref 734 ref 4253 ref 63 ref 64 ref 901 ref 4862 remove 820 ref 3827 ref 4861 remove appTerm 4863 remove appTerm appTerm appTerm appTerm 5930 def 5926 remove appTerm absTerm appTerm absTerm 5931 def absTerm 5932 def 735 ref appTerm betaConv 5933 def 5925 remove appThm 5931 ref 4254 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 3971 remove constTerm 5934 def refl 5935 def 5168 ref 753 ref 734 ref 5933 remove 5168 ref varTerm 735 ref appTerm 5936 def refl appThm 5931 remove 5936 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 732 remove var 5932 remove nil cons cons nil cons nil cons cons 4787 ref 772 ref cons 43 ref cons 1121 ref subst subst eqMp absThm appThm trans trans trans 3845 remove assume eqMp nil 83 ref 4852 remove 4854 ref 5934 ref 5168 ref 749 ref 734 ref 63 ref 64 ref 5930 remove 3828 ref 5936 remove 69 ref appTerm appTerm 5937 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 5938 def appTerm 5939 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 4867 ref "f''" 4849 remove var 5940 def 68 ref 5938 ref 5940 ref varTerm 5941 def appTerm 5942 def appTerm 841 ref appTerm 5943 def absTerm nil cons cons nil cons nil cons cons 4874 remove subst 5940 remove nil 24 ref 5943 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5942 ref nil cons 5944 def cons 1032 ref cons nil cons cons 5945 def 100 ref subst 5945 remove 157 ref subst 5942 ref betaConv 5942 remove assume eqMp nil 83 ref 5934 ref 5168 ref 749 ref 734 ref 63 ref 64 ref 901 ref 10 ref 251 ref 5941 ref 735 ref appTerm 69 ref appTerm 5946 def appTerm 69 ref appTerm appTerm 820 ref 3827 remove 5946 ref appTerm 735 ref 5946 remove appTerm appTerm appTerm appTerm appTerm 5947 def 5937 remove appTerm absTerm appTerm absTerm appTerm absTerm 5948 def appTerm 5949 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 3989 ref "f'''" 3902 ref var 5950 def 68 ref 5948 ref 5950 ref varTerm 5951 def appTerm 5952 def appTerm 841 ref appTerm 5953 def absTerm nil cons cons nil cons nil cons cons 3995 ref subst 5950 remove nil 24 ref 5953 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5952 ref nil cons 5954 def cons 1032 ref cons nil cons cons 5955 def 100 ref subst 5955 remove 157 ref subst 5952 ref betaConv 5952 remove assume eqMp nil 83 ref 749 ref 734 ref 63 ref 64 ref 5947 remove 3828 ref 5951 ref 735 ref appTerm 69 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm 5956 def nil cons 5957 def cons 1032 ref cons nil cons cons 5958 def 144 ref subst proveHyp 5958 ref 100 ref subst 5958 remove 157 ref subst 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref 2527 ref 67 ref 3883 remove 1910 ref subst 1874 ref nil 150 ref 3823 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 452 ref 932 ref 3823 remove 455 ref appTerm betaConv appThm nil 4522 ref 84 ref 3943 remove cons nil cons cons nil cons cons 5959 def 1988 ref subst trans absThm appThm trans appThm 5960 def nil 83 ref 3829 ref nil cons cons 84 ref 3830 ref nil cons cons nil cons cons nil cons cons 3052 ref subst appThm trans absThm appThm absThm appThm absThm appThm absThm appThm 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref 123 ref 2527 ref 67 ref 901 ref 331 ref 452 ref 4536 remove 4890 remove appTerm 5961 def absTerm 5962 def appTerm 5963 def appTerm 5964 def refl 5965 def 67 ref 10 ref 901 ref 3829 ref appTerm 820 ref 3830 ref appTerm appTerm 5966 def appTerm 901 ref 820 ref 3829 remove appTerm appTerm 3830 remove appTerm 5967 def appTerm absTerm 5968 def 71 ref appTerm betaConv 5969 def appThm absThm appThm appThm 5965 ref 2527 ref 67 ref 5969 remove absThm appThm appThm appThm nil 4551 ref 5968 remove nil cons cons 83 ref 5963 remove nil cons cons nil cons cons nil cons cons 4739 remove subst eqMp 5965 remove 123 ref 2527 ref 67 ref 23 ref 67 ref 5966 remove absTerm 5970 def 71 ref appTerm betaConv 5971 def appThm 67 ref 5967 remove absTerm 5972 def 71 ref appTerm betaConv 5973 def appThm absThm appThm appThm 23 ref 2527 ref 67 ref 5971 remove absThm appThm appThm 2527 ref 67 ref 5973 remove absThm appThm appThm appThm nil 4742 ref 5970 ref nil cons cons 4551 remove 5972 ref nil cons cons nil cons cons nil cons cons 5556 remove subst eqMp appThm trans absThm appThm absThm appThm absThm appThm 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref 123 ref 1874 ref 1022 ref 452 ref 5962 ref 455 ref appTerm betaConv 5974 def absThm appThm appThm 5975 def 10 ref 66 ref 5970 remove appTerm appTerm 66 ref 5972 remove appTerm appTerm 5976 def refl 5977 def appThm appThm 1022 ref 452 ref 1874 ref 5974 remove appThm 5978 def 5977 remove appThm absThm appThm appThm nil 161 ref 5962 remove nil cons cons 5979 def 84 ref 5976 ref nil cons cons nil cons cons nil cons cons 2027 ref subst eqMp absThm appThm 123 ref 1078 ref 64 ref 1022 ref 452 ref 64 ref 452 ref 901 ref 5961 remove appTerm 5980 def 5976 ref appTerm absTerm 5981 def absTerm 5982 def 69 ref appTerm betaConv 5983 def 2401 ref appThm 5981 ref 455 ref appTerm betaConv trans absThm appThm absThm appThm appThm 1110 ref 1111 ref 1078 ref 64 ref 5983 remove 1114 ref appThm 5981 remove 1113 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 248 ref 5982 remove nil cons cons nil cons nil cons cons 1122 ref subst eqMp trans absThm appThm 123 ref 753 ref 729 ref 1110 ref 1111 ref 729 ref 1111 ref 63 ref 64 ref 901 ref 4844 remove 4897 remove appTerm appTerm 5984 def 5976 ref appTerm absTerm appTerm absTerm 5985 def absTerm 5986 def 736 ref appTerm betaConv 5987 def 1231 ref appThm 5985 ref 1112 ref appTerm betaConv trans absThm appThm absThm appThm appThm 4853 ref 4854 ref 753 ref 729 ref 5987 remove 4902 ref appThm 5985 remove 4901 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 4858 ref 5986 remove nil cons cons nil cons nil cons cons 4860 ref subst eqMp trans absThm appThm 123 ref 753 ref 734 ref 4853 ref 4854 ref 734 ref 4854 ref 749 ref 729 ref 63 ref 64 ref 901 ref 4904 remove 4906 remove appTerm appTerm 5988 def 5976 ref appTerm absTerm appTerm absTerm appTerm absTerm 5989 def absTerm 5990 def 735 ref appTerm betaConv 5991 def 4910 ref appThm 5989 ref 4855 ref appTerm betaConv trans absThm appThm absThm appThm appThm 4915 ref 4916 ref 753 ref 734 ref 5991 remove 4919 ref appThm 5989 remove 4918 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 4920 ref 5990 remove nil cons cons nil cons nil cons cons 4922 ref subst eqMp trans trans trans 3839 remove assume eqMp nil 83 ref 4914 ref 4916 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 901 ref 4924 remove 4926 remove appTerm appTerm 5992 def 5976 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 5993 def appTerm 5994 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 4930 ref "f''''" 4911 remove var 5995 def 68 ref 5993 ref 5995 ref varTerm 5996 def appTerm 5997 def appTerm 841 ref appTerm 5998 def absTerm nil cons cons nil cons nil cons cons 4938 ref subst 5995 remove nil 24 ref 5998 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 5997 ref nil cons 5999 def cons 1032 ref cons nil cons cons 6000 def 100 ref subst 6000 remove 157 ref subst 5997 ref betaConv 5997 remove assume eqMp nil 83 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 901 ref 10 ref 251 ref 5996 remove 735 ref appTerm 736 ref appTerm 69 ref appTerm 6001 def appTerm 69 ref appTerm appTerm 820 ref 739 ref 735 ref 6001 ref appTerm appTerm 736 ref 6001 remove appTerm appTerm appTerm appTerm appTerm 5976 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm nil cons 6002 def cons 1032 ref cons nil cons cons 6003 def 144 ref subst proveHyp 6003 ref 100 ref subst 6003 remove 157 ref subst nil 83 ref 4970 ref 4971 ref 4955 ref 0 ref 3812 ref 3856 remove cons opType constTerm 6004 def 3826 ref appTerm 6005 def 735 ref appTerm 6006 def appTerm 6007 def 69 ref appTerm 6008 def appTerm 6009 def 4956 ref 4957 ref 5951 ref appTerm 6010 def 735 ref appTerm 6011 def appTerm 69 ref appTerm 6012 def appTerm 6013 def nil cons 6014 def cons 6015 def nil cons nil cons cons 5009 ref subst nil 83 ref 820 ref 6013 ref appTerm nil cons 6016 def cons 6017 def 84 ref 6014 ref cons nil cons 6018 def cons nil cons cons 6019 def 100 ref subst 6019 remove 157 ref subst nil "_14073" 45 ref var 6020 def 5015 ref 5016 ref 5941 ref appTerm 6021 def 735 ref appTerm 6022 def appTerm 69 ref appTerm 6023 def nil cons 6024 def cons nil cons nil cons cons 64 ref 739 ref 4956 ref 4957 ref 4955 ref 0 ref 5836 ref 5878 remove cons opType constTerm 5842 ref appTerm 6025 def 3826 ref appTerm 6026 def appTerm 735 ref appTerm 6027 def appTerm 6028 def 69 ref appTerm 6029 def appTerm 5139 remove appTerm absTerm 6030 def 6020 remove varTerm 6031 def appTerm 6032 def betaConv 1078 ref 64 ref 1550 ref nil "f" 5836 ref var 5842 ref nil cons 6033 def cons "x" 3812 ref var 6034 def 3826 ref nil cons 6035 def cons nil cons 6036 def cons nil cons cons 3857 remove "B" 3991 remove cons nil cons cons 43 ref cons 5149 ref subst subst 4779 ref appThm nil 5168 ref 6026 remove nil cons cons 776 ref cons nil cons cons 5172 ref subst trans 172 ref appThm nil 734 ref 6027 remove nil cons cons nil cons nil cons cons 5149 ref subst trans 6037 def appThm 5149 ref appThm absThm appThm 5850 remove assume eqMp nil 83 ref 63 ref 6030 ref appTerm nil cons cons 84 ref 6032 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 6030 remove nil cons cons 64 ref 6031 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst nil 83 ref 739 ref 6028 remove 6023 ref appTerm 6038 def appTerm 5080 ref 6023 ref appTerm 6039 def appTerm 6040 def nil cons cons 84 ref 10 ref 4291 ref 6007 ref 6023 ref appTerm 6041 def appTerm 6041 ref appTerm 6042 def appTerm 4970 ref 6041 ref appTerm 6043 def 6038 ref appTerm 6044 def appTerm 6045 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil "x" 47 ref var 6046 def 6041 remove nil cons 6047 def cons nil cons nil cons cons "A" 48 remove cons nil cons 6048 def 43 ref cons 172 ref subst subst nil 83 ref 6042 remove nil cons cons 84 ref 6044 remove nil cons cons nil cons 6049 def cons nil cons cons 157 ref subst proveHyp nil 6017 remove 84 ref 4964 ref 4966 ref 6023 ref appTerm 6050 def appTerm 69 ref appTerm 6051 def nil cons 6052 def cons nil cons cons nil cons cons 144 ref subst nil "_14077" 45 ref var 6053 def 356 remove cons "_14076" 728 ref var 6054 def 775 ref cons nil cons cons nil cons cons 6055 def nil 836 ref 4970 ref 4971 ref 6005 remove 6054 remove varTerm 6056 def appTerm appTerm 6057 def 6053 remove varTerm 6058 def appTerm appTerm 4956 ref 6010 remove 6056 ref appTerm appTerm 6059 def 6058 ref appTerm appTerm 6060 def nil cons 6061 def cons 838 ref 4964 ref 4966 ref 5015 ref 6021 remove 6056 ref appTerm appTerm 6062 def 6058 ref appTerm 6063 def appTerm appTerm 6058 ref appTerm 6064 def nil cons cons nil cons cons nil cons cons 2085 ref subst 64 ref 10 ref 901 ref 4964 ref 4966 ref 6062 remove 69 ref appTerm 6065 def appTerm appTerm 69 ref appTerm appTerm 4970 ref 6057 ref 69 ref appTerm appTerm 6059 remove 69 ref appTerm appTerm 6066 def appTerm appTerm 901 ref 820 ref 4970 ref 6057 ref 6065 ref appTerm appTerm 4956 ref 6056 ref appTerm 6067 def 6065 remove appTerm appTerm appTerm appTerm 6066 remove appTerm appTerm absTerm 6068 def 6058 ref appTerm 6069 def betaConv 734 ref 63 ref 64 ref 10 ref 901 ref 6051 remove appTerm 6013 ref appTerm appTerm 901 ref 820 ref 6043 ref 6039 ref appTerm 6070 def appTerm 6071 def appTerm 6013 remove appTerm appTerm absTerm appTerm absTerm 6072 def 6056 ref appTerm 6073 def betaConv 753 ref 734 ref 1078 ref 64 ref nil 838 ref 6052 ref cons 836 ref 6071 remove nil cons cons 1605 ref 6014 ref cons nil cons cons cons nil cons cons 5138 ref subst absThm appThm absThm appThm 753 ref 734 ref 1078 ref 64 ref 1874 ref 23 ref 1222 ref nil 4854 ref 5941 remove nil cons cons 776 ref cons nil cons cons 5151 remove subst 172 ref appThm nil 1111 ref 6022 remove nil cons cons nil cons nil cons cons 5152 remove subst trans 6074 def appThm 172 ref appThm nil 5154 ref 64 ref 6024 ref cons nil cons 6075 def cons nil cons cons 5156 ref subst 172 ref appThm nil 784 ref 6050 remove nil cons cons nil cons nil cons cons 5157 ref subst trans trans appThm 932 ref 3826 ref refl 6076 def 4779 ref appThm 6077 def 6074 ref appThm 4779 ref 6074 remove appThm nil 6075 ref nil cons cons 5149 ref subst trans appThm nil "f" 3812 ref var 6035 ref cons 776 ref cons nil cons cons 771 ref "B" 145 remove cons nil cons cons 43 ref cons 5149 ref subst subst 6078 def 6023 ref refl appThm nil 5163 remove 6006 remove nil cons cons 6079 def 6075 remove cons nil cons cons 5165 ref subst trans 6039 ref refl appThm nil 5166 ref 6047 ref cons 2556 ref 6039 remove nil cons 6080 def cons nil cons cons nil cons cons 5167 ref subst trans trans appThm appThm appThm 5808 ref nil 5168 remove 5951 remove nil cons cons 776 ref cons nil cons cons 5172 ref subst 172 ref appThm nil 734 ref 6011 remove nil cons cons nil cons nil cons cons 5149 ref subst trans appThm 6078 ref 172 ref appThm nil 6079 ref nil cons nil cons cons 5165 ref subst trans 6081 def 6012 ref refl appThm nil 5166 ref 6008 remove nil cons cons 6082 def 2556 ref 6012 remove nil cons 6083 def cons nil cons cons nil cons cons 5167 ref subst trans trans appThm absThm appThm absThm appThm 5956 remove assume eqMp eqMp nil 83 ref 749 ref 6072 ref appTerm nil cons cons 84 ref 6073 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 6072 remove nil cons cons 774 ref 6056 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 6068 ref appTerm nil cons cons 84 ref 6069 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 6068 remove nil cons cons 64 ref 6058 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 6084 def nil 119 ref 901 ref 6064 remove appTerm 6060 ref appTerm nil cons cons 121 ref 901 ref 820 ref 4970 ref 6057 remove 6063 ref appTerm appTerm 6067 remove 6063 remove appTerm appTerm 6085 def appTerm 6086 def appTerm 6060 ref appTerm nil cons cons nil cons cons nil cons cons 6087 def 135 ref subst proveHyp eqMp subst eqMp nil 83 ref 6052 remove cons 84 ref 6043 remove 4975 ref 6023 remove appTerm 6088 def appTerm nil cons 6089 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14075" 45 ref var 6090 def 6024 ref cons nil cons nil cons cons nil 836 ref 820 ref 4964 ref 4966 ref 6090 remove varTerm 6091 def appTerm appTerm 69 ref appTerm 6092 def appTerm nil cons 6093 def cons 838 ref 4970 ref 6007 ref 6091 ref appTerm appTerm 4975 ref 6091 ref appTerm appTerm 6094 def nil cons 6095 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 6092 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 6094 remove refl appThm trans nil 84 ref 6095 remove cons 83 ref 6093 remove cons nil cons cons nil cons cons 2097 ref subst 255 ref 5285 remove 4970 ref 6007 remove 256 ref appTerm 6096 def appTerm 4975 remove 256 ref appTerm 6097 def appTerm appTerm absTerm 6098 def 6091 ref appTerm 6099 def betaConv 1078 ref 255 ref 5330 remove 6077 remove 1105 ref appThm nil 5445 remove 767 ref cons nil cons cons 5149 ref subst appThm 6078 remove 1105 ref appThm nil 6079 remove 767 ref cons nil cons cons 5165 remove subst trans 6097 ref refl appThm nil 5166 remove 6096 remove nil cons cons 2556 ref 6097 remove nil cons cons nil cons cons nil cons cons 5167 ref subst trans trans appThm absThm appThm 5903 remove assume eqMp nil 83 ref 63 ref 6098 ref appTerm nil cons cons 84 ref 6099 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 6098 remove nil cons cons 64 ref 6091 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 6089 remove cons 6049 remove cons nil cons cons 144 ref subst proveHyp nil "_14072" 46 ref var 6100 def 6088 remove nil cons cons "_14071" 45 ref var 6101 def 6024 remove cons "_14070" 728 ref var 6102 def 775 remove cons "_14069" 3812 remove var 6103 def 6035 remove cons nil cons cons cons cons nil cons cons nil 836 ref 820 ref 4970 ref 4971 ref 6004 remove 6103 remove varTerm 6104 def appTerm 6105 def 6102 remove varTerm 6106 def appTerm appTerm 6107 def 6101 remove varTerm 6108 def appTerm appTerm 6109 def 6100 remove varTerm 6110 def appTerm 6111 def appTerm nil cons 6112 def cons 838 ref 6109 ref 4956 ref 4957 ref 6025 remove 6104 ref appTerm appTerm 6113 def 6106 ref appTerm appTerm 6114 def 6108 ref appTerm appTerm 6115 def nil cons 6116 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 6111 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 6115 ref refl appThm trans nil 84 ref 6116 remove cons 83 ref 6112 remove cons nil cons cons nil cons cons 2097 ref subst 2556 ref 901 ref 820 ref 6109 remove 5471 ref appTerm appTerm appTerm 6115 remove appTerm absTerm 6117 def 6110 ref appTerm 6118 def betaConv 64 ref 66 ref 2556 ref 901 ref 820 ref 4970 ref 6107 remove 69 ref appTerm appTerm 6119 def 5471 ref appTerm appTerm appTerm 6119 remove 6114 remove 69 ref appTerm appTerm appTerm absTerm appTerm absTerm 6120 def 6108 ref appTerm 6121 def betaConv 734 ref 63 ref 64 ref 66 ref 2556 ref 901 ref 820 ref 4970 ref 4971 remove 6105 remove 735 ref appTerm appTerm 69 ref appTerm appTerm 6122 def 5471 ref appTerm appTerm appTerm 6122 remove 4956 ref 6113 remove 735 ref appTerm appTerm 69 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 6123 def 6106 ref appTerm 6124 def betaConv 3815 ref 749 ref 734 ref 63 ref 64 ref 66 ref 2556 ref 901 ref 820 ref 6009 ref 5471 ref appTerm appTerm 6125 def appTerm 6009 ref 6029 ref appTerm 6126 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6127 def 6104 ref appTerm 6128 def betaConv 5862 ref 3815 ref 753 ref 734 ref 1078 ref 64 ref 123 ref 1874 ref 2527 ref 2556 ref 2556 ref 6125 remove absTerm 6129 def 5471 ref appTerm betaConv 6130 def absThm appThm appThm 6126 ref refl 6131 def appThm appThm 2527 ref 2556 ref 1874 ref 6130 remove appThm 6131 remove appThm absThm appThm appThm nil 4742 ref 6129 remove nil cons cons 84 ref 6126 remove nil cons cons nil cons cons nil cons cons 1576 ref 84 ref 27 ref 901 ref 268 ref appTerm 87 ref appTerm 6132 def appTerm 63 ref 2020 remove appTerm 6133 def appTerm absTerm 6134 def 87 ref appTerm 6135 def betaConv 161 ref 311 ref 6134 ref appTerm 6136 def absTerm 6137 def 163 ref appTerm 6138 def betaConv nil 254 ref 6137 ref appTerm 6139 def axiom nil 83 ref 6139 remove nil cons cons 84 ref 6138 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 6137 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 6136 remove nil cons cons 84 ref 6135 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 6134 remove nil cons cons 1644 ref cons nil cons cons 173 ref subst eqMp eqMp 6140 def subst subst eqMp absThm appThm absThm appThm absThm appThm 5862 ref 3815 ref 753 ref 734 ref 1078 ref 64 ref 1874 ref 2527 ref 2556 ref 932 ref 6081 ref 5368 remove appThm nil 6082 ref nil cons nil cons cons 5167 ref subst trans appThm absThm appThm 6141 def appThm 5808 ref 6037 remove appThm 6081 remove 6029 ref refl appThm nil 6082 remove 2556 ref 6029 remove nil cons cons nil cons cons nil cons cons 5167 remove subst trans trans appThm absThm appThm absThm appThm absThm appThm 5862 ref 3815 ref 753 ref 734 ref 1078 ref 64 ref 2527 ref 2556 ref nil 83 ref 5840 ref nil cons cons 84 ref 5846 ref nil cons cons nil cons 6142 def cons nil cons cons 1910 ref subst absThm appThm absThm appThm absThm appThm absThm appThm 5862 ref 3815 ref 753 ref 734 ref 1078 ref 64 ref 123 ref 2527 ref 2556 ref 1874 ref 2556 ref 820 ref 5840 remove appTerm absTerm 6143 def 5471 ref appTerm betaConv 6144 def appThm 5846 remove refl 6145 def appThm absThm appThm appThm 1874 ref 2527 ref 2556 ref 6144 remove absThm appThm appThm 6145 remove appThm appThm nil 4742 ref 6143 remove nil cons cons 6142 remove cons nil cons cons 1576 ref 84 ref 27 ref 6133 remove appTerm 6132 remove appTerm absTerm 6146 def 87 ref appTerm 6147 def betaConv 161 ref 311 ref 6146 ref appTerm 6148 def absTerm 6149 def 163 ref appTerm 6150 def betaConv nil 254 ref 6149 ref appTerm 6151 def axiom nil 83 ref 6151 remove nil cons cons 84 ref 6150 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 6149 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 6148 remove nil cons cons 84 ref 6147 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 6146 remove nil cons cons 1644 ref cons nil cons cons 173 ref subst eqMp eqMp subst subst eqMp absThm appThm absThm appThm absThm appThm trans 5847 remove assume eqMp eqMp eqMp nil 83 ref 3814 ref 6127 ref appTerm nil cons cons 84 ref 6128 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3858 ref 3855 ref 6127 remove nil cons cons 6034 remove 6104 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 749 ref 6123 ref appTerm nil cons cons 84 ref 6124 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 6123 remove nil cons cons 774 ref 6106 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 6120 ref appTerm nil cons cons 84 ref 6121 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 6120 remove nil cons cons 64 ref 6108 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 66 ref 6117 ref appTerm nil cons cons 84 ref 6118 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 ref 6117 remove nil cons cons 2556 ref 6110 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp eqMp eqMp nil 83 ref 10 ref 6040 remove appTerm 6045 remove appTerm nil cons cons 84 ref 6070 remove nil cons 6152 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14092" 47 ref var 6153 def 6047 ref cons "_14090" 47 remove var 6154 def 6047 remove cons "_14093" 46 ref var 6155 def 6080 remove cons "_14091" 46 ref var 6156 def 6038 remove nil cons cons nil cons cons cons cons nil cons cons nil 836 ref 901 ref 820 ref 739 ref 6156 remove varTerm 6157 def appTerm 6155 remove varTerm 6158 def appTerm 6159 def appTerm 6160 def appTerm 6161 def 901 ref 820 ref 4291 remove 6154 remove varTerm 6162 def appTerm 6153 remove varTerm 6163 def appTerm 6164 def appTerm 6165 def appTerm 6166 def 820 ref 4970 ref 6162 remove appTerm 6157 remove appTerm 6167 def appTerm 6168 def appTerm 6169 def appTerm nil cons cons 838 ref 4970 ref 6163 remove appTerm 6158 remove appTerm 6170 def nil cons 6171 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 6169 remove nil cons 6172 def cons 838 ref 6160 remove nil cons 6173 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 6159 ref nil cons 6174 def cons nil cons 6175 def nil cons cons 2086 ref subst appThm nil 836 ref 6168 ref nil cons 6176 def cons 838 ref 6165 remove nil cons 6177 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 6164 ref nil cons 6178 def cons nil cons 6179 def nil cons cons 2086 ref subst appThm nil 838 ref 6167 ref nil cons cons nil cons 6180 def nil cons cons 2086 ref subst appThm trans appThm trans appThm 6170 ref refl appThm trans 6161 remove refl nil 917 ref 6176 remove cons 84 ref 6171 ref cons 6181 def 83 ref 6177 remove cons nil cons cons cons nil cons cons 2174 ref subst appThm nil 917 ref 6172 remove cons 6181 remove 83 ref 6173 remove cons nil cons cons cons nil cons cons 2174 ref subst trans nil 836 ref 6166 remove 901 ref 6170 ref appTerm 6168 remove appTerm 6182 def appTerm nil cons 6183 def cons 6175 remove cons nil cons cons 2191 ref subst nil 83 ref 6174 ref cons 84 ref 6183 ref cons nil cons cons nil cons cons 6184 def 100 ref subst 6184 remove 157 ref subst nil 836 ref 6182 remove nil cons 6185 def cons 6179 remove cons nil cons cons 2191 ref subst nil 83 ref 6178 ref cons 84 ref 6185 ref cons nil cons 6186 def cons nil cons cons 6187 def 100 ref subst 6187 remove 157 ref subst 4970 remove refl 6164 remove assume appThm 6159 remove assume appThm nil 83 ref 27 ref 6167 remove appTerm 6170 remove appTerm nil cons cons 6186 remove cons nil cons cons 144 ref subst proveHyp nil 836 ref 6171 remove cons 6180 remove cons nil cons cons 2219 ref subst eqMp eqMp nil 119 ref 6178 remove cons 121 ref 6185 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 6174 remove cons 121 ref 6183 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 6152 remove cons 6018 remove cons nil cons cons 144 ref subst proveHyp 6055 remove nil 836 ref 6086 remove nil cons 6188 def cons 838 ref 6061 ref cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 6085 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 6060 remove refl appThm trans nil 84 ref 6061 remove cons 83 ref 6188 remove cons nil cons cons nil cons cons 2097 ref subst 6084 remove 6087 remove 581 ref subst proveHyp eqMp eqMp subst eqMp eqMp nil 119 ref 6016 remove cons 121 ref 6014 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 6015 remove 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_14074" 46 remove var 6189 def 6083 remove cons nil cons nil cons cons nil 83 ref 6009 ref 6189 remove varTerm 6190 def appTerm nil cons cons nil cons nil cons cons 2222 ref subst 67 ref 820 ref 6009 remove 71 ref appTerm appTerm absTerm 6191 def 6190 ref appTerm 6192 def betaConv 6141 remove nil 2541 ref 5812 remove cons nil cons nil cons 6193 def cons 1576 remove 2321 ref subst subst 2527 ref 67 ref 932 ref 5917 remove appThm absThm appThm trans 5895 remove assume eqMp eqMp nil 83 ref 66 ref 6191 ref appTerm nil cons cons 84 ref 6192 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1575 ref 2541 remove 6191 remove nil cons cons 2556 ref 6190 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 6002 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 5999 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 5450 ref 5451 ref 68 ref 5993 ref 5452 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 5994 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 4936 ref 4930 ref 5993 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 5957 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 5954 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 3972 ref 5796 ref 68 ref 5948 ref 5796 ref varTerm 6194 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 5949 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3993 ref 3989 ref 5948 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 5944 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 5457 remove 5458 remove 68 ref 5938 ref 5459 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 5939 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 4873 remove 4867 remove 5938 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 5910 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 5908 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 749 ref 774 ref 68 ref 5904 ref 4284 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 5905 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 5904 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 5896 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 5891 remove cons 121 ref 5892 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 119 ref 5889 remove cons 121 ref 5824 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 3866 remove cons 121 ref 5887 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 3865 remove 121 ref 5885 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 393 ref cons 6195 def 121 ref 5883 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 5880 remove cons 121 ref 5881 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 749 ref 5860 ref appTerm nil cons cons 84 ref 5861 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 5860 remove nil cons cons 776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 5859 remove nil cons cons 84 ref 5858 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3858 remove 3855 ref 5857 remove nil cons cons 6036 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 5856 remove nil cons cons 84 ref 5855 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 5854 remove nil cons cons 283 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 5853 ref nil cons 6196 def cons 6197 def 84 ref 446 ref 5835 remove appTerm 6198 def nil cons 6199 def cons nil cons 6200 def cons nil cons cons 144 ref subst proveHyp 3815 ref 3896 remove absTerm 6201 def refl nil 83 ref 26 ref 0 ref 5836 ref 5837 remove nil cons cons opType constTerm 6202 def 6201 ref appTerm 6201 ref appTerm nil cons cons 84 ref 68 ref 5853 remove appTerm 6203 def 6198 ref appTerm 6204 def nil cons 6205 def cons nil cons 6206 def cons nil cons cons 144 ref subst proveHyp nil 5839 remove 6201 ref nil cons cons nil cons nil cons cons nil 83 ref 6202 remove 5842 ref appTerm 6201 ref appTerm 6207 def nil cons 6208 def cons 6206 ref cons nil cons cons 6209 def 100 ref subst 6209 remove 157 ref subst nil 83 ref 68 ref 3814 remove 3815 ref 749 ref 734 ref 63 ref 64 ref 66 ref 2556 ref 5841 ref 3828 remove 3869 remove appTerm appTerm absTerm appTerm 6210 def absTerm 6211 def appTerm 6212 def absTerm 6213 def appTerm 6214 def absTerm 6215 def appTerm 6216 def appTerm 6198 ref appTerm 6217 def nil cons 6218 def cons 6200 ref cons nil cons cons 6219 def 100 ref subst 6219 remove 157 ref subst nil 3855 remove 6215 remove nil cons cons nil cons nil cons cons 3859 remove subst 3815 ref nil 24 ref 6214 remove nil cons cons nil cons nil cons cons 33 ref subst nil 773 ref 6213 remove nil cons cons nil cons nil cons cons 1412 ref subst 734 ref nil 24 ref 6212 remove nil cons cons nil cons nil cons cons 33 ref subst nil 150 ref 6211 remove nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 6210 remove nil cons cons nil cons nil cons cons 33 ref subst 2527 ref 2556 ref 182 ref 3843 remove 5471 remove appTerm betaConv appThm 5810 remove appThm absThm appThm 1575 remove 6193 remove cons 161 ref 63 ref 64 ref 334 remove 5813 remove appTerm absTerm appTerm absTerm 6220 def 151 remove appTerm 6221 def betaConv nil 254 ref 6220 ref appTerm 6222 def axiom nil 83 ref 6222 remove nil cons cons 84 ref 6221 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 6220 remove nil cons cons 541 ref 1950 remove cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 6223 def subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 83 ref 6216 remove nil cons cons 6200 remove cons nil cons cons 144 ref subst proveHyp 6217 ref assume eqMp eqMp nil 119 ref 6218 ref cons 121 ref 6199 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 68 ref 6217 ref appTerm 6198 remove appTerm 6224 def nil cons cons 6206 remove cons nil cons cons 144 ref subst proveHyp nil 6197 ref 84 ref 6218 ref cons 6225 def nil cons cons nil cons cons 6226 def 100 ref subst 6226 remove 157 ref subst 182 ref 5862 remove 3815 remove 753 ref 734 ref 1078 ref 64 ref 2527 remove 2556 remove 5841 remove refl 5808 remove 5849 remove refl 3898 remove appThm 733 ref 5844 remove appTerm refl 3897 remove appThm 26 ref 0 ref 3902 ref 3970 ref nil cons cons opType constTerm 5843 remove appTerm refl 6201 remove 3826 remove appTerm betaConv appThm 6207 remove assume 6076 remove appThm eqMp 4779 ref appThm eqMp 172 ref appThm eqMp sym 6227 def appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm 5863 remove 5864 remove 5865 remove 182 ref 1078 ref 64 ref 1550 ref 6227 remove appThm 740 ref refl appThm absThm appThm appThm 5829 remove refl appThm appThm appThm appThm appThm sym 5852 ref 5842 remove appTerm 6228 def betaConv nil 6197 ref 84 ref 6228 remove nil cons cons nil cons cons nil cons cons 144 ref subst 5879 remove 5877 remove 5852 remove nil cons cons "x" 5836 remove var 6033 remove cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 6196 remove cons 121 ref 6218 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 6203 remove 6217 remove appTerm nil cons cons 84 ref 68 ref 6224 remove appTerm 6204 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 6197 remove 6225 remove 917 ref 6199 remove cons nil cons cons cons nil cons cons 4328 ref subst eqMp eqMp eqMp nil 119 ref 6208 remove cons 121 ref 6205 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 5825 remove 84 ref 63 ref 64 ref 3844 remove absTerm 6229 def appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 1078 ref 64 ref 182 ref 1078 ref 255 ref 1344 ref 6229 ref 256 ref appTerm betaConv appThm absThm appThm appThm 6229 ref 69 ref appTerm betaConv 6230 def appThm absThm appThm appThm 1078 ref 64 ref 6230 remove absThm appThm appThm nil 161 ref 6229 remove nil cons cons nil cons nil cons cons 5477 remove 284 ref 252 ref assume eqMp 5478 remove proveHyp 5480 remove eqMp eqMp subst eqMp eqMp eqMp eqMp eqMp nil 119 ref 5804 remove cons 121 ref 5806 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 749 ref 5803 remove appTerm nil cons cons 84 ref 68 ref 3893 remove appTerm 3849 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 753 ref 734 ref 182 ref 3892 ref 735 ref appTerm betaConv 6231 def appThm 3848 ref 735 ref appTerm betaConv 6232 def appThm absThm appThm appThm 182 ref 3900 ref 734 ref 6231 remove absThm appThm appThm 3900 ref 734 ref 6232 remove absThm appThm appThm appThm nil 4188 ref 3892 remove nil cons cons 4190 ref 3848 remove nil cons cons nil cons cons nil cons cons 4198 remove subst eqMp eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 119 ref 3860 remove cons 121 ref 3861 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 6195 ref 121 ref 3853 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp 6233 def subst subst eqMp nil 83 ref 3810 remove cons 84 ref 3808 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 3792 ref nil cons cons nil cons "P" 3809 remove var 3807 remove nil cons cons "x" 3792 remove var 3802 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst 6234 def subst eqMp eqMp nil 83 ref 3774 remove cons 3490 remove cons nil cons cons 144 ref subst nil 1176 ref 825 ref 68 ref 3771 ref appTerm 6235 def 3479 ref appTerm 6236 def absTerm 6237 def nil cons cons nil cons nil cons cons 1213 ref subst 825 ref nil 24 ref 6236 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 3771 remove nil cons 6238 def cons 6239 def 84 ref 3479 remove nil cons 6240 def cons nil cons cons nil cons cons 6241 def 100 ref subst 6241 remove 157 ref subst 23 ref 179 ref 180 ref 233 ref nil 24 ref 3767 ref nil cons 6242 def cons nil cons nil cons cons 33 ref subst 3770 ref 194 ref appTerm 6243 def betaConv nil 6239 ref 84 ref 6243 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 3770 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp nil 119 ref 6242 remove cons 121 ref 3769 ref nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp eqMp subst absThm appThm 3546 ref trans appThm 3478 ref refl appThm nil 24 ref 3478 ref nil cons 6244 def cons nil cons nil cons cons 324 ref subst trans sym 23 ref 179 ref 180 ref nil 83 ref 3475 ref 188 ref appTerm 6245 def nil cons cons 6246 def 64 ref 3468 ref nil cons 6247 def cons nil cons 6248 def cons nil cons cons 182 ref 638 ref appThm 98 remove appThm 113 remove 1063 ref subst trans subst 639 ref trans absThm appThm 3546 ref trans appThm 10 ref 178 ref 180 ref 178 ref 183 ref 27 ref 68 ref 3472 ref 828 ref appTerm 6249 def appTerm 3475 ref 194 ref appTerm 6250 def appTerm 6251 def appTerm 68 ref 531 ref 828 ref appTerm 6252 def 3468 ref appTerm 6253 def appTerm 585 ref 188 ref appTerm 6254 def appTerm 6255 def appTerm absTerm 6256 def appTerm absTerm 6257 def appTerm 6258 def appTerm 178 ref 180 ref 178 ref 183 ref 68 ref 3737 ref appTerm 6259 def 6251 ref appTerm absTerm 6260 def appTerm absTerm 6261 def appTerm 6262 def appTerm 6263 def refl appThm nil 24 ref 6263 ref nil cons 6264 def cons nil cons nil cons cons 324 ref subst trans sym nil 83 ref 6264 ref cons nil cons nil cons cons 1777 ref subst sym 6265 def nil 6239 remove 84 ref 68 ref 820 ref 6263 ref appTerm 6266 def appTerm 841 ref appTerm 6267 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 3488 ref 84 ref 6235 remove 6267 remove appTerm 6268 def nil cons cons nil cons cons nil cons cons 144 ref subst 3462 ref 3592 ref 6268 remove appTerm absTerm 6269 def 3465 ref appTerm 6270 def betaConv 825 ref 3588 ref 6269 ref appTerm 6271 def absTerm 6272 def 826 ref appTerm 6273 def betaConv 3492 ref 825 ref 3596 ref 3462 ref 3592 ref refl 182 ref 123 ref 179 ref 183 ref 23 ref 183 ref 3767 remove absTerm 6274 def 194 ref appTerm betaConv 6275 def appThm 183 ref 3769 remove absTerm 6276 def 194 ref appTerm betaConv 6277 def appThm absThm appThm appThm 23 ref 179 ref 183 ref 6275 remove absThm appThm appThm 179 ref 183 ref 6277 remove absThm appThm appThm appThm nil 287 ref 6274 ref nil cons cons 1996 ref 6276 ref nil cons cons nil cons cons nil cons cons 3057 ref subst eqMp appThm 6265 ref appThm appThm absThm appThm absThm appThm sym nil 1176 ref 825 ref 3588 ref 3462 ref 3592 ref 68 ref 10 ref 178 ref 6274 remove appTerm 6278 def appTerm 178 ref 6276 remove appTerm appTerm 6279 def appTerm 6263 ref appTerm 6280 def appTerm 6281 def absTerm 6282 def appTerm 6283 def absTerm nil cons cons nil cons nil cons cons 1213 ref subst 825 ref nil 24 ref 6283 remove nil cons cons nil cons nil cons cons 33 ref subst nil 3461 ref 6282 remove nil cons cons nil cons nil cons cons 3486 ref subst 3462 ref nil 24 ref 6281 remove nil cons cons nil cons nil cons cons 33 ref subst nil 3488 ref 84 ref 6280 remove nil cons 6284 def cons nil cons cons nil cons cons 6285 def 100 ref subst 6285 remove 157 ref subst nil 83 ref 6279 ref nil cons 6286 def cons 84 ref 6264 ref cons nil cons cons nil cons cons 6287 def 100 ref subst 6287 remove 157 ref subst 6265 remove nil 83 ref 6266 ref nil cons 6288 def cons 1032 ref cons nil cons cons 6289 def 100 ref subst 6289 remove 157 ref subst nil 83 ref 6258 remove nil cons cons 84 ref 6262 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 1874 ref nil 206 ref 6257 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 180 ref 932 ref 6257 remove 188 ref appTerm betaConv appThm nil 206 ref 6256 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 183 ref 932 ref 6256 remove 194 ref appTerm betaConv appThm nil 83 ref 6251 remove nil cons 6290 def cons 84 ref 6255 remove nil cons cons nil cons cons nil cons cons 2645 ref subst 1874 ref 23 ref nil 83 ref 6249 ref nil cons 6291 def cons 6292 def 84 ref 6250 ref nil cons 6293 def cons nil cons cons nil cons cons 6294 def 1910 ref subst appThm nil 83 ref 6253 ref nil cons 6295 def cons 6296 def 84 ref 6254 ref nil cons 6297 def cons nil cons cons nil cons cons 6298 def 1988 ref subst appThm appThm 23 ref 6294 remove 1988 ref subst 6299 def appThm 6298 remove 1910 ref subst appThm appThm trans trans absThm appThm trans trans absThm appThm trans appThm nil 206 ref 6261 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 180 ref 932 ref 6261 remove 188 ref appTerm betaConv appThm nil 206 ref 6260 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 183 ref 932 ref 6260 remove 194 ref appTerm betaConv appThm nil 83 ref 3737 ref nil cons 6300 def cons 6301 def 84 ref 6290 remove cons nil cons cons nil cons cons 1988 ref subst 23 ref 3737 ref refl appThm 6299 remove appThm trans trans absThm appThm trans trans absThm appThm trans appThm trans 123 ref 1874 ref 1345 ref 180 ref 180 ref 583 ref 183 ref 901 ref 10 ref 901 ref 820 ref 6249 ref appTerm 6302 def appTerm 6250 ref appTerm 6303 def appTerm 10 ref 6253 ref appTerm 6304 def 820 ref 6254 ref appTerm 6305 def appTerm 6306 def appTerm 6307 def appTerm 10 ref 10 ref 6249 ref appTerm 6308 def 820 ref 6250 ref appTerm 6309 def appTerm 6310 def appTerm 901 ref 820 ref 6253 remove appTerm 6311 def appTerm 6254 ref appTerm 6312 def appTerm 6313 def appTerm 6314 def absTerm 6315 def appTerm absTerm 6316 def 188 ref appTerm betaConv 6317 def absThm appThm appThm 1345 ref 180 ref 180 ref 583 ref 183 ref 10 ref 3737 ref appTerm 6318 def 6310 ref appTerm 6319 def absTerm 6320 def appTerm absTerm 6321 def 188 ref appTerm betaConv 6322 def absThm appThm appThm appThm 1345 ref 180 ref 1874 ref 6317 remove appThm 6322 remove appThm absThm appThm appThm nil 287 ref 6316 remove nil cons cons 1996 ref 6321 remove nil cons cons nil cons cons nil cons cons 2681 ref subst eqMp 1345 ref 180 ref 123 ref 1874 ref 1345 ref 183 ref 6315 ref 194 ref appTerm betaConv 6323 def absThm appThm appThm 1345 ref 183 ref 6320 ref 194 ref appTerm betaConv 6324 def absThm appThm appThm appThm 1345 ref 183 ref 1874 ref 6323 remove appThm 6324 remove appThm absThm appThm appThm nil 287 ref 6315 remove nil cons cons 1996 ref 6320 remove nil cons cons nil cons cons nil cons cons 2681 ref subst eqMp absThm appThm trans trans 6266 remove assume eqMp nil 83 ref 583 ref 180 ref 583 ref 183 ref 901 ref 6314 ref appTerm 6319 ref appTerm 6325 def absTerm 6326 def appTerm 6327 def absTerm 6328 def appTerm 6329 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 180 ref 68 ref 6328 ref 188 ref appTerm 6330 def appTerm 841 ref appTerm 6331 def absTerm 6332 def nil cons cons nil cons nil cons cons 223 ref subst 180 ref nil 24 ref 6331 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 6330 ref nil cons 6333 def cons 1032 ref cons nil cons cons 6334 def 100 ref subst 6334 remove 157 ref subst 6330 ref betaConv 6330 remove assume eqMp nil 83 ref 6327 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 183 ref 68 ref 6326 ref 194 ref appTerm 6335 def appTerm 841 ref appTerm 6336 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 6336 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 6335 ref nil cons 6337 def cons 1032 ref cons nil cons cons 6338 def 100 ref subst 6338 remove 157 ref subst 6335 ref betaConv 6335 remove assume eqMp nil 83 ref 6325 remove nil cons 6339 def cons 1032 ref cons nil cons cons 6340 def 144 ref subst proveHyp 6340 ref 100 ref subst 6340 remove 157 ref subst nil 83 ref 6319 remove nil cons 6341 def cons 1032 ref cons nil cons cons 6342 def 100 ref subst 6342 remove 157 ref subst nil 119 ref 6300 remove cons 121 ref 6310 remove nil cons 6343 def cons nil cons cons nil cons cons 6344 def 135 ref subst nil 6301 remove 84 ref 6291 ref cons nil cons 6345 def cons nil cons cons 157 ref subst proveHyp 6344 remove 581 ref subst nil 119 ref 6291 remove cons 121 ref 6309 remove nil cons cons nil cons cons nil cons cons 6346 def 135 ref subst 6347 def proveHyp eqMp nil 83 ref 6318 remove 6249 remove appTerm nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_17042" 1 ref var 6348 def 209 ref cons "_17043" 1 ref var 6349 def 189 remove cons nil cons cons nil cons cons nil 836 ref 531 ref 826 ref 6349 remove varTerm 6350 def appTerm appTerm 826 ref 6348 remove varTerm 6351 def appTerm 6352 def appTerm 6353 def nil cons cons 838 ref 22 ref 6350 ref appTerm 6351 ref appTerm 6354 def nil cons cons nil cons cons nil cons cons 5434 ref subst nil 83 ref 10 ref 6354 remove appTerm 6353 remove appTerm nil cons cons nil cons nil cons cons 2222 ref subst trans 187 ref 901 ref 820 ref 288 ref 6351 ref appTerm appTerm appTerm 820 ref 3506 remove 6352 remove appTerm appTerm appTerm absTerm 6355 def 6350 ref appTerm 6356 def betaConv 183 ref 178 ref 187 ref 3074 ref 3768 ref appTerm absTerm appTerm absTerm 6357 def 6351 ref appTerm 6358 def betaConv 23 ref 179 ref 183 ref 526 ref refl 3788 ref appThm 3465 ref refl appThm absThm appThm appThm 179 ref 183 ref 179 ref 187 ref nil 1965 ref 84 ref 3768 remove nil cons cons nil cons cons nil cons cons 1910 ref subst absThm appThm absThm appThm appThm 6279 remove assume eqMp nil 119 ref 6278 remove nil cons cons 121 ref 178 ref 6357 ref appTerm nil cons 6359 def cons nil cons cons nil cons cons 581 ref subst proveHyp nil 83 ref 6359 remove cons 84 ref 6358 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6357 remove nil cons cons 180 ref 6351 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 6355 ref appTerm nil cons cons 84 ref 6356 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6355 remove nil cons cons 180 ref 6350 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 6341 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 6314 remove nil cons 6360 def cons 1032 ref cons nil cons cons 6361 def 100 ref subst 6361 remove 157 ref subst nil 83 ref 6313 remove nil cons 6362 def cons 1032 ref cons nil cons cons 6363 def 100 ref subst 6363 remove 157 ref subst nil 83 ref 6297 ref cons 1032 ref cons nil cons cons 6364 def 100 ref subst 6364 remove 157 ref subst 221 ref 172 ref subst 6365 def nil 6246 ref 1032 ref cons nil cons cons 144 ref subst proveHyp nil 6246 remove nil cons nil cons cons 2222 ref subst 27 ref "_17066" 1 ref var 6366 def 820 ref 3475 remove 6366 remove varTerm appTerm appTerm absTerm 6367 def 194 ref appTerm 6368 def appTerm refl 6367 ref 188 ref appTerm betaConv appThm 123 ref 6368 remove betaConv appThm 820 ref 6245 ref appTerm refl appThm trans 6367 remove refl 6254 remove assume appThm eqMp nil 119 ref 6343 remove cons 121 ref 6312 remove nil cons cons nil cons cons nil cons cons 6369 def 135 ref subst 6370 def 6346 remove 581 ref subst proveHyp eqMp eqMp eqMp eqMp nil 119 ref 6297 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 6311 ref nil cons 6371 def cons 1032 ref cons nil cons cons 6372 def 100 ref subst 6372 remove 157 ref subst 6370 remove 6347 remove proveHyp nil 6292 ref 84 ref 3472 remove 3468 ref appTerm 6373 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 6248 ref nil cons cons 172 ref subst eqMp nil 83 ref 6308 remove 6373 ref appTerm nil cons cons 84 ref 6295 ref cons nil cons cons nil cons cons 144 ref subst proveHyp nil 452 ref 6247 ref cons 255 ref 828 ref nil cons 6374 def cons 6248 remove cons cons nil cons cons 2428 ref subst eqMp nil 6296 ref 1032 ref cons nil cons cons 144 ref subst proveHyp nil 6296 ref nil cons nil cons cons 2222 ref subst 6311 remove assume eqMp eqMp eqMp nil 119 ref 6371 remove cons 6375 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp 6369 remove 581 ref subst nil 6375 remove 121 ref 6297 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp nil 119 ref 6362 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 6307 remove nil cons 6376 def cons 1032 ref cons nil cons cons 6377 def 100 ref subst 6377 remove 157 ref subst nil 83 ref 6293 ref cons 1032 ref cons nil cons cons 6378 def 100 ref subst 6378 remove 157 ref subst 1146 ref nil 83 ref 585 ref 194 ref appTerm 6379 def nil cons cons 6380 def 1032 ref cons nil cons cons 144 ref subst proveHyp nil 6380 ref nil cons nil cons cons 2222 ref subst 27 ref "_17054" 1 ref var 6381 def 820 ref 585 ref 6381 remove varTerm appTerm appTerm absTerm 6382 def 188 ref appTerm 6383 def appTerm refl 6382 ref 194 ref appTerm betaConv appThm 123 ref 6383 remove betaConv appThm 820 ref 6379 ref appTerm refl appThm trans 6382 remove refl 6250 ref assume appThm eqMp nil 119 ref 6303 remove nil cons cons 121 ref 6306 remove nil cons cons nil cons cons nil cons cons 6384 def 581 ref subst 6385 def nil 119 ref 6295 remove cons 121 ref 6305 remove nil cons cons nil cons cons nil cons cons 6386 def 581 ref subst proveHyp eqMp eqMp eqMp eqMp nil 119 ref 6293 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 6302 ref nil cons 6387 def cons 1032 ref cons nil cons cons 6388 def 100 ref subst 6388 remove 157 ref subst 6385 remove 6386 remove 135 ref subst proveHyp nil 6296 remove 84 ref 6252 ref 828 remove appTerm 6389 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp 3788 remove eqMp nil 83 ref 6304 remove 6389 remove appTerm nil cons cons 6345 remove cons nil cons cons 144 ref subst proveHyp nil 452 ref 6374 ref cons 255 ref 6247 remove cons 64 ref 6374 remove cons nil cons cons cons nil cons cons 2428 remove subst eqMp nil 6292 ref 1032 ref cons nil cons cons 144 ref subst proveHyp nil 6292 remove nil cons nil cons cons 2222 ref subst 6302 remove assume eqMp eqMp eqMp nil 119 ref 6387 remove cons 6390 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp 6384 remove 135 ref subst nil 6390 remove 121 ref 6293 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp nil 119 ref 6376 remove cons 6391 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 6391 remove 121 ref 6362 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp eqMp nil 119 ref 6360 remove cons 6392 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 6392 remove 121 ref 6341 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp eqMp nil 119 ref 6339 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 6337 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 687 remove 68 ref 6326 ref 688 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 6327 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6326 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 6333 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 6332 remove appTerm nil cons cons 84 ref 68 ref 6329 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6328 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 6288 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 6286 remove cons 121 ref 6264 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 3626 ref 121 ref 6284 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 1319 ref 6272 ref appTerm nil cons cons 84 ref 6273 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 6272 remove nil cons cons 1315 ref 826 ref nil cons 6393 def cons nil cons 6394 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 6271 remove nil cons cons 84 ref 6270 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 6269 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp eqMp nil 83 ref 10 ref 178 ref 180 ref 68 ref 6373 remove appTerm 6245 remove appTerm absTerm appTerm appTerm 6263 remove appTerm nil cons cons 84 ref 6244 ref cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 179 ref 180 ref 180 ref 3477 ref absTerm 6395 def 188 ref appTerm betaConv 6396 def 6365 ref appThm 3477 ref 188 ref appTerm betaConv trans absThm appThm appThm 23 ref 179 ref 180 ref 179 ref 183 ref 123 ref 6396 ref 1146 ref appThm 3477 ref 194 ref appTerm betaConv trans 6397 def appThm 6395 ref 194 ref appTerm betaConv 6365 ref appThm 181 ref 68 ref 6252 remove 3473 ref appTerm appTerm 585 ref 184 ref appTerm appTerm absTerm 188 ref appTerm betaConv trans appThm absThm appThm absThm appThm appThm 179 ref 180 ref 179 ref 183 ref 6259 remove refl 6397 remove appThm absThm appThm absThm appThm appThm appThm appThm 179 ref 180 ref 179 ref 181 ref 6396 remove 184 ref refl 6398 def appThm 3477 remove 184 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "p" 6 ref var 6399 def 6395 remove nil cons cons nil cons nil cons cons 6399 ref 68 ref 10 ref 178 ref 187 ref 6399 ref varTerm 6400 def 193 ref appTerm 6401 def 193 ref appTerm 6402 def absTerm 6403 def appTerm 6404 def appTerm 6405 def 10 ref 178 ref 187 ref 178 ref 183 ref 27 ref 6401 ref 194 ref appTerm 6406 def appTerm 6400 ref 194 ref appTerm 6407 def 193 ref appTerm 6408 def appTerm absTerm appTerm absTerm appTerm appTerm 178 ref 187 ref 178 ref 183 ref 290 ref 6406 ref appTerm absTerm appTerm absTerm appTerm appTerm appTerm 6409 def appTerm 178 ref 187 ref 178 ref 181 ref 6401 remove 184 ref appTerm 6410 def absTerm 6411 def appTerm absTerm 6412 def appTerm 6413 def appTerm absTerm 6414 def 6400 ref appTerm 6415 def betaConv 6416 def nil 83 ref 517 ref 6414 ref appTerm 6417 def nil cons cons 6418 def nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 6417 remove appTerm 6419 def nil cons 6420 def cons 1032 ref cons nil cons cons 6421 def 100 ref subst 6421 remove 157 ref subst nil 178 ref 187 ref 178 ref 183 ref 901 ref 289 remove appTerm 901 ref 3270 remove appTerm 2262 remove appTerm appTerm absTerm appTerm absTerm 6422 def appTerm 6423 def axiom 6424 def nil 83 ref 6423 remove nil cons 6425 def cons 6426 def 1032 ref cons nil cons cons 6427 def 144 ref subst proveHyp 6427 ref 100 ref subst 6427 remove 157 ref subst nil 328 ref 6414 remove nil cons cons 6428 def nil cons nil cons cons 522 remove 1962 ref subst subst 520 ref 6399 ref 932 ref 6416 remove appThm nil 83 ref 6409 remove nil cons cons 84 ref 6413 remove nil cons cons nil cons cons nil cons cons 1988 ref subst 23 ref 23 ref 179 ref 187 ref 6402 ref refl absThm appThm appThm 6429 def 23 ref 179 ref 187 ref 179 ref 183 ref nil 83 ref 6406 ref nil cons 6430 def cons 84 ref 6408 ref nil cons cons nil cons cons nil cons cons 3052 remove subst absThm appThm absThm appThm appThm 179 ref 187 ref 179 ref 183 ref nil 1965 ref 84 ref 6430 remove cons nil cons cons nil cons cons 1910 ref subst absThm appThm absThm appThm appThm appThm appThm nil 206 ref 6412 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 187 ref 932 ref 6412 remove 193 ref appTerm betaConv appThm nil 206 ref 6411 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 181 ref 932 ref 6411 remove 184 ref appTerm betaConv appThm absThm appThm trans trans absThm appThm trans appThm trans trans absThm appThm trans 520 ref 6399 ref 23 ref 6429 remove 23 ref 179 ref 187 ref 123 ref 179 ref 183 ref 23 ref 183 ref 901 ref 6406 ref appTerm 820 ref 6408 ref appTerm appTerm absTerm 6431 def 194 ref appTerm betaConv 6432 def appThm 183 ref 901 ref 820 ref 6406 ref appTerm appTerm 6408 remove appTerm absTerm 6433 def 194 ref appTerm betaConv 6434 def appThm absThm appThm appThm 23 ref 179 ref 183 ref 6432 remove absThm appThm appThm 179 ref 183 ref 6434 remove absThm appThm appThm appThm nil 287 ref 6431 ref nil cons cons 1996 ref 6433 ref nil cons cons nil cons cons nil cons cons 3057 ref subst eqMp absThm appThm 123 ref 179 ref 187 ref 23 ref 187 ref 178 ref 6431 remove appTerm absTerm 6435 def 193 ref appTerm betaConv 6436 def appThm 187 ref 178 ref 6433 remove appTerm absTerm 6437 def 193 ref appTerm betaConv 6438 def appThm absThm appThm appThm 23 ref 179 ref 187 ref 6436 remove absThm appThm appThm 179 ref 187 ref 6438 remove absThm appThm appThm appThm nil 287 ref 6435 ref nil cons cons 1996 ref 6437 ref nil cons 6439 def cons nil cons cons nil cons cons 3057 ref subst eqMp trans appThm 178 ref 187 ref 178 ref 183 ref 3074 ref 6406 remove appTerm absTerm appTerm absTerm 6440 def appTerm 6441 def refl appThm appThm appThm 583 ref 187 ref 583 ref 181 ref 820 ref 6410 ref appTerm 6442 def absTerm 6443 def appTerm absTerm 6444 def appTerm refl appThm absThm appThm 520 remove 6399 ref 123 ref 10 ref 6405 remove 10 ref 10 ref 178 ref 6435 remove appTerm 6445 def appTerm 178 ref 6437 ref appTerm 6446 def appTerm 6447 def appTerm 6441 ref appTerm 6448 def appTerm 6449 def appTerm 6450 def refl 6451 def 1345 ref 187 ref 6444 ref 193 ref appTerm betaConv 6452 def absThm appThm appThm appThm 1345 ref 187 ref 6451 ref 6452 remove appThm absThm appThm appThm nil 1996 ref 6444 remove nil cons cons 83 ref 6449 remove nil cons 6453 def cons nil cons 6454 def cons nil cons cons 2665 ref subst eqMp 1345 ref 187 ref 123 ref 6451 ref 1345 ref 181 ref 6443 ref 184 ref appTerm betaConv 6455 def absThm appThm appThm appThm 1345 ref 181 ref 6451 remove 6455 remove appThm absThm appThm appThm nil 1996 ref 6443 remove nil cons cons 6454 remove cons nil cons cons 2665 ref subst eqMp absThm appThm trans absThm appThm trans trans 6419 remove assume eqMp nil 83 ref 362 remove 6399 ref 583 ref 187 ref 583 ref 181 ref 6450 remove 6442 ref appTerm 6456 def absTerm 6457 def appTerm 6458 def absTerm 6459 def appTerm 6460 def absTerm 6461 def appTerm 6462 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 328 ref 6399 ref 68 ref 6461 ref 6400 ref appTerm 6463 def appTerm 841 ref appTerm 6464 def absTerm nil cons cons nil cons nil cons cons 549 remove subst 6399 remove nil 24 ref 6464 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 6463 ref nil cons 6465 def cons 1032 ref cons nil cons cons 6466 def 100 ref subst 6466 remove 157 ref subst 6463 ref betaConv 6463 remove assume eqMp nil 83 ref 6460 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 187 ref 68 ref 6459 ref 193 ref appTerm 6467 def appTerm 841 ref appTerm 6468 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 187 ref nil 24 ref 6468 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 6467 ref nil cons 6469 def cons 1032 ref cons nil cons cons 6470 def 100 ref subst 6470 remove 157 ref subst 6467 ref betaConv 6467 remove assume eqMp nil 83 ref 6458 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 181 ref 68 ref 6457 ref 184 ref appTerm 6471 def appTerm 841 ref appTerm 6472 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 181 ref nil 24 ref 6472 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 6471 ref nil cons 6473 def cons 1032 ref cons nil cons cons 6474 def 100 ref subst 6474 remove 157 ref subst 6471 ref betaConv 6471 remove assume eqMp nil 83 ref 6456 remove nil cons 6475 def cons 1032 ref cons nil cons cons 6476 def 144 ref subst proveHyp 6476 ref 100 ref subst 6476 remove 157 ref subst nil 83 ref 6410 remove nil cons 6477 def cons 6478 def nil cons nil cons cons 6479 def 5009 ref subst nil 83 ref 6442 ref nil cons 6480 def cons 6481 def 84 ref 6477 ref cons nil cons 6482 def cons nil cons cons 6483 def 100 ref subst 6483 remove 157 ref subst nil 6481 ref 84 ref 820 ref 288 ref 184 ref appTerm appTerm 6484 def nil cons 6485 def cons nil cons cons nil cons cons 144 ref subst nil "_4099" 1 ref var 6486 def 185 ref cons "_4098" 1 ref var 6487 def 207 ref cons nil cons cons nil cons cons nil 836 ref 6400 ref 6487 ref varTerm 6488 def appTerm 6489 def 6486 ref varTerm 6490 def appTerm 6491 def nil cons 6492 def cons 838 ref 820 ref 22 ref 6488 ref appTerm 6493 def 6490 ref appTerm 6494 def appTerm nil cons 6495 def cons nil cons cons nil cons cons 2085 ref subst 183 ref 901 ref 820 ref 6493 remove 194 ref appTerm appTerm appTerm 6489 remove 194 ref appTerm appTerm absTerm 6496 def 6490 ref appTerm 6497 def betaConv 6440 ref 6488 ref appTerm 6498 def betaConv nil 119 ref 6453 remove cons 121 ref 6480 ref cons nil cons cons nil cons cons 6499 def 135 ref subst 6500 def nil 119 ref 6404 remove nil cons 6501 def cons 121 ref 6448 remove nil cons cons nil cons cons nil cons cons 6502 def 581 ref subst proveHyp 6503 def nil 119 ref 6447 remove nil cons cons 121 ref 6441 remove nil cons 6504 def cons nil cons cons nil cons cons 6505 def 581 ref subst proveHyp nil 83 ref 6504 remove cons 84 ref 6498 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6440 remove nil cons cons 180 ref 6488 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 6496 ref appTerm nil cons cons 84 ref 6497 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6496 remove nil cons cons 180 ref 6490 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 6506 def eqMp subst eqMp nil 83 ref 6485 remove cons 84 ref 820 ref 2261 ref 184 ref appTerm appTerm 6507 def nil cons cons nil cons 6508 def cons nil cons cons 157 ref subst proveHyp 2325 ref nil 83 ref 2261 ref 193 ref appTerm 6509 def nil cons cons 84 ref 10 ref 6442 remove appTerm 6402 ref appTerm 6510 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 6481 remove 84 ref 6402 remove nil cons cons nil cons cons nil cons cons 157 ref subst nil "_4097" 1 ref var 6511 def 207 ref cons nil cons nil cons cons 6403 ref 6511 remove varTerm 6512 def appTerm 6513 def betaConv 6500 remove 6502 remove 135 ref subst proveHyp nil 83 ref 6501 remove cons 84 ref 6513 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6403 remove nil cons cons 180 ref 6512 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst eqMp eqMp nil 83 ref 10 ref 6509 remove appTerm 6510 remove appTerm nil cons cons 6508 remove cons nil cons cons 144 ref subst proveHyp nil "_4107" 1 ref var 6514 def 185 ref cons "_4105" 1 ref var 6515 def 207 ref cons "_4106" 1 ref var 6516 def 207 ref cons "_4104" 1 ref var 6517 def 207 ref cons nil cons cons cons cons nil cons cons nil 836 ref 901 ref 820 ref 195 ref 6517 remove varTerm 6518 def appTerm 6516 remove varTerm 6519 def appTerm 6520 def appTerm 6521 def appTerm 6522 def 901 ref 6400 ref 6519 remove appTerm 6514 remove varTerm 6523 def appTerm 6524 def appTerm 6525 def 820 ref 6400 ref 6518 remove appTerm 6515 remove varTerm 6526 def appTerm 6527 def appTerm 6528 def appTerm 6529 def appTerm nil cons cons 838 ref 820 ref 195 ref 6526 remove appTerm 6523 remove appTerm 6530 def appTerm 6531 def nil cons 6532 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 6529 ref nil cons 6533 def cons 6534 def 838 ref 6521 remove nil cons 6535 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 6520 ref nil cons 6536 def cons nil cons 6537 def nil cons cons 2086 ref subst appThm nil 836 ref 6528 ref nil cons 6538 def cons 838 ref 6524 ref nil cons 6539 def cons nil cons cons nil cons cons 2144 ref subst 10 ref 820 ref 6524 ref appTerm appTerm refl nil 838 ref 6527 ref nil cons cons nil cons 6540 def nil cons cons 2086 ref subst appThm trans appThm trans appThm 6531 ref refl appThm trans 123 ref 6522 ref refl nil 917 ref 6538 ref cons 84 ref 6539 ref cons 6541 def 83 ref 6532 ref cons nil cons 6542 def cons cons nil cons cons 2174 ref subst 6525 ref refl 6543 def nil 84 ref 6538 remove cons 6544 def 6542 ref cons nil cons cons 2097 ref subst appThm trans appThm nil 917 ref 901 ref 6528 remove appTerm 6545 def 6531 ref appTerm nil cons cons 6541 remove 83 ref 6535 ref cons nil cons 6546 def cons cons nil cons cons 2174 ref subst 6543 remove nil 917 ref 6532 remove cons 6544 remove 6546 remove cons cons nil cons cons 2174 ref subst appThm trans trans 6547 def appThm nil 917 ref 6533 ref cons 84 ref 6535 remove cons 6542 remove cons cons nil cons cons 2174 ref subst 6547 remove trans appThm nil 315 ref 6525 remove 6545 remove 6522 remove 6531 ref appTerm appTerm appTerm nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp nil 836 ref 901 ref 6531 remove appTerm 6529 remove appTerm nil cons 6548 def cons 6537 remove cons nil cons cons 2191 ref subst nil 83 ref 6536 ref cons 84 ref 6548 ref cons nil cons cons nil cons cons 6549 def 100 ref subst 6549 remove 157 ref subst nil 6534 remove 838 ref 6530 ref nil cons 6550 def cons nil cons cons nil cons cons 2191 ref subst nil 83 ref 6550 ref cons 84 ref 6533 ref cons nil cons 6551 def cons nil cons cons 6552 def 100 ref subst 6552 remove 157 ref subst 6400 ref refl 6520 remove assume appThm 6530 remove assume appThm nil 83 ref 27 ref 6527 remove appTerm 6524 remove appTerm nil cons cons 6551 remove cons nil cons cons 144 ref subst proveHyp nil 836 ref 6539 remove cons 6540 remove cons nil cons cons 2219 remove subst eqMp eqMp nil 119 ref 6550 remove cons 121 ref 6533 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 6536 remove cons 121 ref 6548 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp subst eqMp eqMp nil 83 ref 10 ref 6484 remove appTerm 6507 remove appTerm nil cons cons 84 ref 22 ref 184 ref appTerm 6553 def 193 ref appTerm nil cons 6554 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_4096" 1 ref var 6555 def 185 ref cons "_4095" 1 ref var 6556 def 207 ref cons nil cons cons nil cons cons nil 836 ref 901 ref 22 ref 6556 remove varTerm 6557 def appTerm 6558 def 6555 remove varTerm 6559 def appTerm 6560 def appTerm 6561 def 195 ref 6557 ref appTerm 6562 def 6559 ref appTerm 6563 def appTerm nil cons cons 838 ref 22 ref 6559 ref appTerm 6557 ref appTerm 6564 def nil cons 6565 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 6563 ref nil cons 6566 def cons 838 ref 6560 remove nil cons 6567 def cons nil cons cons nil cons cons 2144 ref subst appThm 6564 ref refl appThm trans 27 ref 6561 remove 901 ref 6564 remove appTerm 6563 remove appTerm appTerm 6568 def appTerm refl nil 917 ref 6566 remove cons 84 ref 6567 remove cons 83 ref 6565 remove cons nil cons cons cons nil cons cons 2174 ref subst appThm nil 315 ref 6568 remove nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 183 ref 901 ref 6558 remove 194 ref appTerm appTerm 901 ref 234 ref 6557 ref appTerm appTerm 6562 remove 194 ref appTerm appTerm appTerm absTerm 6569 def 6559 ref appTerm 6570 def betaConv 6422 ref 6557 ref appTerm 6571 def betaConv nil 6426 ref 84 ref 6571 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 6422 ref nil cons cons 6572 def 180 ref 6557 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 6569 ref appTerm nil cons cons 84 ref 6570 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6569 remove nil cons cons 180 ref 6559 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 6554 remove cons 84 ref 6400 ref 184 ref appTerm 193 ref appTerm nil cons 6573 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil 6486 remove 207 ref cons 6487 remove 185 ref cons nil cons cons nil cons cons nil 836 ref 6495 ref cons 838 ref 6492 ref cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 6494 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 6491 remove refl appThm trans nil 84 ref 6492 remove cons 83 ref 6495 remove cons nil cons cons nil cons cons 2097 ref subst 6506 remove eqMp eqMp subst eqMp nil 83 ref 6573 remove cons 6482 remove cons nil cons cons 144 ref subst proveHyp nil "_4103" 1 ref var 6574 def 207 remove cons "_4102" 1 ref var 6575 def 185 ref cons nil cons cons nil cons cons nil 836 ref 820 ref 6400 ref 6575 remove varTerm 6576 def appTerm 6577 def 6574 remove varTerm 6578 def appTerm 6579 def appTerm nil cons 6580 def cons 838 ref 6400 ref 6578 ref appTerm 6576 ref appTerm 6581 def nil cons 6582 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 6579 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 6581 remove refl appThm trans nil 84 ref 6582 remove cons 83 ref 6580 remove cons nil cons cons nil cons cons 2097 ref subst 183 ref 901 ref 820 ref 6577 remove 194 ref appTerm appTerm appTerm 6407 remove 6576 ref appTerm appTerm absTerm 6583 def 6578 ref appTerm 6584 def betaConv 6437 remove 6576 ref appTerm 6585 def betaConv 6503 remove 6505 remove 135 ref subst proveHyp nil 119 ref 6445 remove nil cons cons 121 ref 6446 remove nil cons 6586 def cons nil cons cons nil cons cons 581 ref subst proveHyp nil 83 ref 6586 remove cons 84 ref 6585 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6439 remove cons 180 ref 6576 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 6583 ref appTerm nil cons cons 84 ref 6584 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6583 remove nil cons cons 180 ref 6578 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 6480 remove cons 121 ref 6477 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 6478 remove 1032 ref cons nil cons cons 144 ref subst proveHyp 6479 remove 2222 ref subst 6499 remove 581 ref subst eqMp eqMp eqMp nil 119 ref 6475 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 6473 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 6457 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 6458 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6457 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 6469 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 6459 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 6460 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 6459 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 6465 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 517 remove 329 ref 68 ref 6461 ref 329 ref varTerm appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 6462 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 327 ref 328 remove 6461 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 6425 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 6420 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 6418 remove 84 ref 6415 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 327 ref 6428 remove 329 ref 6400 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst eqMp eqMp eqMp eqMp nil 119 ref 6238 remove cons 121 ref 6240 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1319 ref 6237 remove appTerm nil cons cons 84 ref 68 ref 3773 remove appTerm 3481 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 3492 ref 825 ref 182 ref 3772 ref 826 ref appTerm betaConv 6587 def appThm 3480 ref 826 ref appTerm 6588 def betaConv 6589 def appThm absThm appThm appThm 182 ref 1138 ref 825 ref 6587 remove absThm appThm appThm 1138 ref 825 ref 6589 ref absThm appThm appThm appThm nil "p" 822 ref var 6590 def 3772 remove nil cons cons "q" 822 ref var 6591 def 3480 ref nil cons 6592 def cons nil cons cons nil cons cons 1212 ref 4197 remove subst 6593 def subst eqMp eqMp eqMp proveHyp eqMp nil 3626 remove 121 ref 3489 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 3592 remove 3481 ref appTerm nil cons cons 84 ref 68 ref 3481 remove appTerm 3466 ref appTerm nil cons cons nil cons 6594 def cons nil cons cons 157 ref subst proveHyp nil 1176 ref 825 ref 68 ref 6588 ref appTerm 3466 ref appTerm 6595 def absTerm nil cons cons nil cons nil cons cons 1213 ref subst 825 ref nil 24 ref 6595 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 6588 ref nil cons 6596 def cons 84 ref 3487 ref cons nil cons 6597 def cons nil cons cons 6598 def 100 ref subst 6598 remove 157 ref subst 6589 remove 6588 remove assume eqMp nil 83 ref 6240 ref cons 6597 ref cons nil cons cons 6599 def 144 ref subst proveHyp 6599 ref 100 ref subst 6599 remove 157 ref subst nil 119 ref 3471 ref nil cons 6600 def cons 6601 def 121 ref 6244 ref cons nil cons cons nil cons cons 6602 def 135 ref subst 6602 remove 581 ref subst "s'" 523 ref var 6603 def 10 ref 3464 ref 6603 remove varTerm 6604 def appTerm appTerm "Set.subset" const 3689 remove constTerm 6605 def 6604 remove appTerm 3465 ref appTerm appTerm absTerm 6606 def 3579 ref "Set.universe" const 6607 def 3574 ref constTerm 6608 def appTerm 6609 def appTerm betaConv sym 10 ref 3464 ref 6609 ref appTerm 6610 def appTerm refl nil 3562 ref 3623 remove cons 6611 def 3462 ref 6609 ref nil cons 6612 def cons nil cons cons nil cons cons 3562 ref 27 ref 6605 ref 3465 ref appTerm 3565 ref appTerm 6613 def appTerm 63 ref 64 ref 68 ref 3698 ref appTerm 6614 def 3706 remove appTerm absTerm appTerm appTerm absTerm 6615 def 3565 ref appTerm 6616 def betaConv 3462 ref 3588 ref 6615 ref appTerm 6617 def absTerm 6618 def 3465 ref appTerm 6619 def betaConv nil 3588 ref 6618 ref appTerm 6620 def axiom nil 83 ref 6620 remove nil cons cons 84 ref 6619 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 6618 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 6617 remove nil cons cons 84 ref 6616 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 6615 remove nil cons cons 3625 ref cons nil cons cons 173 ref subst eqMp eqMp 6621 def subst 123 ref 1078 ref 64 ref 68 ref 527 ref 6609 remove appTerm appTerm refl 3699 ref 69 ref appTerm betaConv appThm absThm appThm appThm 179 ref 180 ref 68 ref 3735 ref 6608 ref appTerm 6622 def appTerm refl 6623 def 3699 ref 3468 remove appTerm betaConv appThm absThm appThm appThm nil 161 ref 3699 remove nil cons cons 3655 ref 6608 ref nil cons 6624 def cons 6625 def nil cons cons nil cons cons 3658 ref 3462 ref 27 ref 66 remove 67 remove 68 ref 3718 remove appTerm 4742 ref varTerm 6626 def 71 remove appTerm appTerm absTerm appTerm appTerm 63 ref 64 ref 6614 remove 6626 ref 740 remove appTerm appTerm absTerm appTerm appTerm absTerm 6627 def 3465 ref appTerm 6628 def betaConv 734 ref 3588 ref 6627 ref appTerm 6629 def absTerm 6630 def 735 ref appTerm 6631 def betaConv 4742 remove 749 ref 6630 ref appTerm 6632 def absTerm 6633 def 6626 ref appTerm 6634 def betaConv nil 60 ref 0 ref 65 ref 3 ref cons opType constTerm 6633 ref appTerm 6635 def axiom nil 83 ref 6635 remove nil cons cons 84 ref 6634 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 6048 remove "P" 65 remove var 6633 remove nil cons cons 6046 remove 6626 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 6632 remove nil cons cons 84 ref 6631 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 6630 remove nil cons cons 776 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 6629 remove nil cons cons 84 ref 6628 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 6627 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp subst 6636 def subst eqMp trans 179 ref 180 ref 6623 ref nil 24 ref 3469 remove nil cons cons nil cons nil cons cons 33 ref subst 3470 ref 188 ref appTerm 6637 def betaConv nil 83 ref 6600 remove cons 6638 def 84 ref 6637 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 3470 remove nil cons cons 642 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp appThm nil 24 ref 6622 ref nil cons 6639 def cons nil cons nil cons cons 1753 ref subst trans absThm appThm 3546 ref trans trans appThm nil 24 ref 6610 ref nil cons 6640 def cons nil cons nil cons cons 1285 ref subst trans sym nil 83 ref 6640 remove cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 6610 remove appTerm 6641 def nil cons 6642 def cons 6643 def 1032 ref cons nil cons cons 6644 def 100 ref subst 6644 remove 157 ref subst 221 ref nil 749 ref 734 ref 3588 ref 3462 ref 68 ref 3609 ref 63 ref 64 ref 63 ref 255 ref 68 ref 3705 ref 3504 ref 741 remove 4412 ref appTerm appTerm appTerm 6645 def appTerm 757 ref appTerm absTerm 6646 def appTerm absTerm 6647 def appTerm 6648 def appTerm 6649 def appTerm 3463 ref 3663 remove constTerm 6650 def 3665 remove appTerm 6651 def appTerm absTerm appTerm absTerm appTerm 6652 def axiom 6653 def subst nil 83 ref 3795 ref 3796 ref 60 ref 0 ref 3648 ref 3 ref cons opType constTerm 6654 def 3655 ref 68 ref 10 ref 3463 remove 3648 ref constTerm 6655 def 3655 ref varTerm 6656 def appTerm 6657 def appTerm 6658 def 178 ref 180 ref 178 ref 181 ref 68 ref 10 ref 3735 remove 6656 ref appTerm appTerm 6659 def 10 ref 3734 ref 184 ref appTerm 6660 def 6656 ref appTerm appTerm 6661 def 739 ref 3806 remove appTerm 3799 ref 184 ref appTerm 6662 def appTerm appTerm appTerm 6663 def appTerm 3476 ref appTerm absTerm 6664 def appTerm absTerm 6665 def appTerm 6666 def appTerm 6667 def appTerm 6650 remove 3573 ref 0 ref 3791 ref 0 ref 3574 ref 3664 remove cons opType nil cons cons opType constTerm 3799 ref appTerm 6656 ref appTerm appTerm 6668 def appTerm absTerm appTerm absTerm appTerm 6669 def nil cons 6670 def cons 1032 ref cons nil cons cons 6671 def 144 ref subst proveHyp 1115 ref 205 ref cons 43 ref cons 6653 ref subst 6672 def nil 83 ref 1319 ref 825 ref 6654 ref 3655 ref 68 ref 6658 ref 178 ref 180 ref 178 ref 181 ref 68 ref 6659 ref 6661 ref 3474 ref appTerm appTerm 6673 def appTerm 3476 ref appTerm absTerm 6674 def appTerm absTerm 6675 def appTerm 6676 def appTerm 6677 def appTerm 3464 ref 3579 remove 6656 ref appTerm appTerm 6678 def appTerm absTerm appTerm absTerm 6679 def appTerm 6680 def nil cons 6681 def cons 6682 def 84 ref 68 ref 6669 ref appTerm 841 ref appTerm 6683 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 42 ref 43 ref cons 6653 ref subst nil 83 ref 801 ref "f" 708 ref var 6684 def 3588 ref 3462 ref 68 ref 3609 ref 63 ref 64 ref 63 ref 255 ref 68 ref 3705 ref 3504 ref 195 ref 6684 ref varTerm 6685 def 69 ref appTerm appTerm 6686 def 6685 ref 256 ref appTerm 6687 def appTerm appTerm appTerm 6688 def appTerm 757 ref appTerm absTerm 6689 def appTerm absTerm 6690 def appTerm 6691 def appTerm 6692 def appTerm 6655 ref 3573 ref 0 ref 708 ref 0 ref 523 ref 3580 ref cons opType nil cons cons opType constTerm 6685 ref appTerm 3465 ref appTerm appTerm 6693 def appTerm absTerm appTerm absTerm appTerm 6694 def nil cons 6695 def cons 6696 def 84 ref 68 ref 6680 ref appTerm 6697 def 6683 remove appTerm 6698 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 6653 ref nil 83 ref 6652 ref nil cons 6699 def cons 6700 def 84 ref 68 ref 6694 ref appTerm 6701 def 6698 remove appTerm 6702 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3790 remove 6653 remove subst nil 83 ref 1321 ref 1111 ref 3588 ref 3462 ref 68 ref 3609 ref 63 ref 64 ref 63 ref 255 ref 68 ref 3705 remove 3504 ref 531 ref 1113 ref appTerm 1112 ref 256 ref appTerm 6703 def appTerm appTerm appTerm 6704 def appTerm 757 ref appTerm absTerm 6705 def appTerm absTerm 6706 def appTerm 6707 def appTerm 6708 def appTerm 3464 ref 3573 remove 0 ref 1106 ref 3567 ref cons opType constTerm 1112 ref appTerm 3465 ref appTerm appTerm 6709 def appTerm absTerm appTerm absTerm appTerm 6710 def nil cons 6711 def cons 6712 def 84 ref 68 ref 6652 ref appTerm 6713 def 6702 remove appTerm 6714 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 6655 ref 6608 ref appTerm 6715 def axiom 6716 def nil 83 ref 6715 ref nil cons 6717 def cons 6718 def 84 ref 68 ref 6710 ref appTerm 6719 def 6714 remove appTerm 6720 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 6643 ref 84 ref 68 ref 6715 ref appTerm 6721 def 6720 remove appTerm 6722 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 83 ref 6244 ref cons 6723 def 84 ref 68 ref 6641 ref appTerm 6724 def 6722 remove appTerm 6725 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 6638 ref 84 ref 68 ref 3478 ref appTerm 6726 def 6725 remove appTerm 6727 def nil cons cons nil cons cons nil cons cons 144 ref subst 3462 ref 68 ref 3471 remove appTerm 6728 def 6727 remove appTerm absTerm 6729 def 3465 ref appTerm 6730 def betaConv 825 ref 3588 ref 6729 ref appTerm 6731 def absTerm 6732 def 826 ref appTerm 6733 def betaConv 3492 ref 825 ref 3596 ref 3462 ref 6728 ref refl 6726 ref refl 6724 ref refl 6721 ref refl 6719 ref refl 6713 ref refl 6701 ref refl 6697 ref refl nil 24 ref 6670 ref cons nil cons nil cons cons 1386 ref subst 6734 def appThm appThm appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm sym nil 1176 ref 825 ref 3588 ref 3462 ref 6728 remove 6726 remove 6724 remove 6721 remove 6719 remove 6713 remove 6701 remove 6697 remove 820 ref 6669 ref appTerm 6735 def appTerm 6736 def appTerm 6737 def appTerm 6738 def appTerm 6739 def appTerm 6740 def appTerm 6741 def appTerm 6742 def appTerm 6743 def absTerm 6744 def appTerm 6745 def absTerm nil cons cons nil cons nil cons cons 1213 ref subst 825 ref nil 24 ref 6745 remove nil cons cons nil cons nil cons cons 33 ref subst nil 3461 ref 6744 remove nil cons cons nil cons nil cons cons 3486 ref subst 3462 ref nil 24 ref 6743 remove nil cons cons nil cons nil cons cons 33 ref subst nil 6638 remove 84 ref 6742 remove nil cons 6746 def cons nil cons cons nil cons cons 6747 def 100 ref subst 6747 remove 157 ref subst nil 6723 remove 84 ref 6741 remove nil cons 6748 def cons nil cons cons nil cons cons 6749 def 100 ref subst 6749 remove 157 ref subst nil 6643 remove 84 ref 6740 remove nil cons 6750 def cons nil cons cons nil cons cons 6751 def 100 ref subst 6751 remove 157 ref subst nil 6718 remove 84 ref 6739 remove nil cons 6752 def cons nil cons cons nil cons cons 6753 def 100 ref subst 6753 remove 157 ref subst nil 6712 remove 84 ref 6738 remove nil cons 6754 def cons nil cons cons nil cons cons 6755 def 100 ref subst 6755 remove 157 ref subst nil 6700 remove 84 ref 6737 remove nil cons 6756 def cons nil cons cons nil cons cons 6757 def 100 ref subst 6757 remove 157 ref subst nil 6696 remove 84 ref 6736 remove nil cons 6758 def cons nil cons cons nil cons cons 6759 def 100 ref subst 6759 remove 157 ref subst nil 6682 ref 84 ref 6735 remove nil cons 6760 def cons nil cons cons nil cons cons 6761 def 100 ref subst 6761 remove 157 ref subst 6734 remove 6671 ref 100 ref subst 6671 remove 157 ref subst 3795 ref refl 6762 def 3796 ref 6654 ref refl 6763 def 3655 ref nil 83 ref 6667 remove nil cons cons 84 ref 6668 ref nil cons cons nil cons 6764 def cons nil cons cons 1910 ref subst 1874 ref nil 83 ref 6657 ref nil cons cons 6765 def 84 ref 6666 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 1874 ref 820 ref 6657 remove appTerm 6766 def refl appThm 6767 def nil 206 ref 6665 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 180 ref 932 ref 6665 remove 188 ref appTerm betaConv appThm nil 206 ref 6664 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 181 ref 932 ref 6664 remove 184 ref appTerm betaConv appThm nil 83 ref 6663 ref nil cons cons 84 ref 3476 ref nil cons 6768 def cons nil cons 6769 def cons nil cons cons 1988 ref subst trans absThm appThm trans trans absThm appThm trans appThm trans appThm 6668 ref refl 6770 def appThm trans absThm appThm absThm appThm 6762 ref 3796 ref 6763 ref 3655 ref 1874 ref 123 ref 6767 ref 1345 ref 180 ref 180 ref 583 ref 181 ref 10 ref 6663 remove appTerm 820 ref 3476 ref appTerm 6771 def appTerm 6772 def absTerm 6773 def appTerm absTerm 6774 def 188 ref appTerm betaConv 6775 def absThm appThm appThm appThm 1345 ref 180 ref 6767 ref 6775 remove appThm absThm appThm appThm nil 1996 ref 6774 remove nil cons cons 83 ref 6766 ref nil cons cons nil cons 6776 def cons nil cons cons 2007 ref subst eqMp 1345 ref 180 ref 123 ref 6767 ref 1345 ref 181 ref 6773 ref 184 ref appTerm betaConv 6777 def absThm appThm appThm appThm 1345 ref 181 ref 6767 ref 6777 remove appThm absThm appThm appThm nil 1996 ref 6773 remove nil cons cons 6776 ref cons nil cons cons 2007 ref subst eqMp absThm appThm trans appThm 6770 ref appThm 123 ref 1874 ref 1345 ref 180 ref 180 ref 583 ref 181 ref 901 ref 6766 remove appTerm 6778 def 6772 remove appTerm 6779 def absTerm 6780 def appTerm absTerm 6781 def 188 ref appTerm betaConv 6782 def absThm appThm appThm 6770 ref appThm appThm 1345 ref 180 ref 1874 ref 6782 remove appThm 6770 ref appThm absThm appThm appThm nil 287 ref 6781 remove nil cons cons 6764 ref cons nil cons cons 2028 ref subst eqMp 1345 ref 180 ref 123 ref 1874 ref 1345 ref 181 ref 6780 ref 184 ref appTerm betaConv 6783 def absThm appThm appThm 6770 ref appThm appThm 1345 ref 181 ref 1874 ref 6783 remove appThm 6770 remove appThm absThm appThm appThm nil 287 ref 6780 remove nil cons cons 6764 remove cons nil cons cons 2028 ref subst eqMp absThm appThm trans trans absThm appThm 123 ref 6763 ref 3655 ref 1345 ref 180 ref 3655 ref 180 ref 583 ref 181 ref 901 ref 6779 remove appTerm 6668 ref appTerm absTerm appTerm absTerm 6784 def absTerm 6785 def 6656 ref appTerm betaConv 6786 def 6365 ref appThm 6784 ref 188 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 3574 ref 39 ref cons opType 6787 def 3 ref cons opType 6788 def 3 ref cons opType constTerm 6789 def refl 6790 def "f" 6787 ref var 6791 def 6763 ref 3655 ref 6786 remove 6791 ref varTerm 6792 def 6656 ref appTerm 6793 def refl 6794 def appThm 6784 remove 6793 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 3574 ref 5 ref cons opType var 6795 def 6785 remove nil cons cons nil cons nil cons cons 41 ref "A" 3580 remove cons 6796 def nil cons 6797 def cons 43 ref cons 1121 ref subst 6798 def subst eqMp 6790 ref 6791 ref 123 ref 6763 ref 3655 ref 1345 ref 181 ref 3655 ref 181 ref 901 ref 6778 ref 10 ref 10 ref 3734 ref 6793 ref appTerm 6656 ref appTerm appTerm 6799 def 6661 ref 739 ref 3799 ref 6793 ref appTerm appTerm 6800 def 6662 remove appTerm appTerm appTerm appTerm 820 ref 195 ref 6793 ref appTerm 6801 def 184 ref appTerm appTerm 6802 def appTerm appTerm appTerm 6668 ref appTerm absTerm 6803 def absTerm 6804 def 6656 ref appTerm betaConv 6805 def 6398 ref appThm 6803 ref 184 ref appTerm betaConv trans absThm appThm absThm appThm appThm 6790 ref "f'" 6787 ref var 6806 def 6763 ref 3655 ref 6805 remove 6806 ref varTerm 6807 def 6656 ref appTerm 6808 def refl 6809 def appThm 6803 remove 6808 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6795 ref 6804 remove nil cons cons nil cons nil cons cons 6798 ref subst eqMp absThm appThm trans trans absThm appThm 123 ref 6762 ref 3796 ref 6790 ref 6791 ref 3796 ref 6791 ref 6789 ref 6806 ref 6654 ref 3655 ref 901 ref 6778 ref 10 ref 6799 ref 10 ref 3734 ref 6808 ref appTerm 6656 ref appTerm appTerm 6810 def 6800 remove 3799 ref 6808 ref appTerm 6811 def appTerm appTerm appTerm appTerm 820 ref 6801 remove 6808 ref appTerm appTerm 6812 def appTerm appTerm appTerm 6668 ref appTerm absTerm appTerm absTerm appTerm absTerm 6813 def absTerm 6814 def 3799 ref appTerm betaConv 6815 def 6792 ref refl 6816 def appThm 6813 ref 6792 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 3791 ref 6787 ref nil cons 6817 def cons opType 6818 def 3 ref cons opType 6819 def 3 ref cons opType 6820 def constTerm 6821 def refl 6822 def "f" 6818 ref var 6823 def 6762 ref 3796 ref 6815 remove 6823 ref varTerm 3799 ref appTerm 6824 def refl appThm 6813 remove 6824 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 3791 ref 6788 remove nil cons 6825 def cons opType var 6826 def 6814 remove nil cons cons nil cons nil cons cons "B" 6817 ref cons 6827 def "A" 3791 remove nil cons cons nil cons cons 43 ref cons 1121 ref subst 6828 def subst eqMp 6822 ref 6823 ref 123 ref 6762 ref 3796 ref 6790 ref 6806 ref 3796 ref 6806 ref 6654 ref 3655 ref 901 ref 6778 ref 10 ref 10 ref 3734 ref 6824 remove 6656 ref appTerm 6829 def appTerm 6656 ref appTerm appTerm 6830 def 6810 ref 739 ref 3799 ref 6829 ref appTerm appTerm 6831 def 6811 remove appTerm appTerm appTerm appTerm 820 ref 195 ref 6829 remove appTerm 6832 def 6808 ref appTerm appTerm appTerm appTerm appTerm 6668 ref appTerm absTerm appTerm absTerm 6833 def absTerm 6834 def 3799 ref appTerm betaConv 6835 def 6807 ref refl 6836 def appThm 6833 ref 6807 ref appTerm betaConv trans absThm appThm absThm appThm appThm 6822 remove "f'" 6818 ref var 6837 def 6762 remove 3796 ref 6835 remove 6837 ref varTerm 6838 def 3799 ref appTerm 6839 def refl appThm 6833 remove 6839 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6826 remove 6834 remove nil cons cons nil cons nil cons cons 6828 remove subst eqMp absThm appThm trans trans trans 6669 remove assume eqMp nil 83 ref 6821 ref 6823 remove 6821 ref 6837 ref 3795 ref 3796 ref 6654 ref 3655 ref 901 ref 6778 ref 10 ref 6830 remove 10 ref 3734 ref 6839 remove 6656 ref appTerm 6840 def appTerm 6656 ref appTerm appTerm 6841 def 6831 remove 3799 ref 6840 ref appTerm 6842 def appTerm appTerm appTerm appTerm 820 ref 6832 remove 6840 ref appTerm appTerm appTerm appTerm appTerm 6668 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6843 def appTerm 6844 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 6819 remove var 6845 def 6837 ref 68 ref 6843 ref 6838 remove appTerm 6846 def appTerm 841 ref appTerm 6847 def absTerm nil cons cons nil cons nil cons cons "A" 6818 ref nil cons cons nil cons 6848 def 43 ref cons 222 ref subst 6849 def subst 6837 remove nil 24 ref 6847 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 6846 ref nil cons 6850 def cons 1032 ref cons nil cons cons 6851 def 100 ref subst 6851 remove 157 ref subst 6846 ref betaConv 6846 remove assume eqMp nil 83 ref 6821 remove "f''" 6818 ref var 6852 def 3795 remove 3796 remove 6654 ref 3655 ref 901 ref 6778 ref 10 ref 6841 remove 10 ref 3734 ref 6852 ref varTerm 6853 def 3799 ref appTerm 6656 ref appTerm 6854 def appTerm 6656 ref appTerm appTerm 739 ref 6842 remove appTerm 3799 remove 6854 ref appTerm appTerm appTerm appTerm appTerm 820 ref 195 ref 6840 remove appTerm 6854 remove appTerm appTerm appTerm appTerm appTerm 6668 remove appTerm absTerm appTerm absTerm appTerm 6855 def absTerm 6856 def appTerm 6857 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 6845 ref 6852 ref 68 ref 6856 ref 6853 remove appTerm 6858 def appTerm 841 ref appTerm 6859 def absTerm nil cons cons nil cons nil cons cons 6849 remove subst 6852 remove nil 24 ref 6859 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 6858 ref nil cons 6860 def cons 1032 ref cons nil cons cons 6861 def 100 ref subst 6861 remove 157 ref subst 6858 ref betaConv 6858 remove assume eqMp nil 83 ref 6855 remove nil cons 6862 def cons 1032 ref cons nil cons cons 6863 def 144 ref subst proveHyp 6863 ref 100 ref subst 6863 remove 157 ref subst 3492 ref 825 ref 6763 ref 3655 ref nil 83 ref 6677 remove nil cons cons 84 ref 6678 ref nil cons cons nil cons 6864 def cons nil cons cons 1910 ref subst 1874 ref nil 6765 remove 84 ref 6676 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 6767 ref nil 206 ref 6675 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 180 ref 932 ref 6675 remove 188 ref appTerm betaConv appThm nil 206 ref 6674 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 181 ref 932 ref 6674 remove 184 ref appTerm betaConv appThm nil 83 ref 6673 ref nil cons cons 6769 ref cons nil cons cons 1988 ref subst trans absThm appThm trans trans absThm appThm trans appThm trans appThm 6678 ref refl 6865 def appThm trans absThm appThm absThm appThm 3492 ref 825 ref 6763 ref 3655 ref 1874 ref 123 ref 6767 ref 1345 ref 180 ref 180 ref 583 ref 181 ref 10 ref 6673 remove appTerm 6771 remove appTerm 6866 def absTerm 6867 def appTerm absTerm 6868 def 188 ref appTerm betaConv 6869 def absThm appThm appThm appThm 1345 ref 180 ref 6767 ref 6869 remove appThm absThm appThm appThm nil 1996 ref 6868 remove nil cons cons 6776 ref cons nil cons cons 2007 ref subst eqMp 1345 ref 180 ref 123 ref 6767 ref 1345 ref 181 ref 6867 ref 184 ref appTerm betaConv 6870 def absThm appThm appThm appThm 1345 ref 181 ref 6767 remove 6870 remove appThm absThm appThm appThm nil 1996 ref 6867 remove nil cons cons 6776 remove cons nil cons cons 2007 ref subst eqMp absThm appThm trans appThm 6865 ref appThm 123 ref 1874 ref 1345 ref 180 ref 180 ref 583 ref 181 ref 6778 ref 6866 remove appTerm 6871 def absTerm 6872 def appTerm absTerm 6873 def 188 ref appTerm betaConv 6874 def absThm appThm appThm 6865 ref appThm appThm 1345 ref 180 ref 1874 ref 6874 remove appThm 6865 ref appThm absThm appThm appThm nil 287 ref 6873 remove nil cons cons 6864 ref cons nil cons cons 2028 ref subst eqMp 1345 ref 180 ref 123 ref 1874 ref 1345 ref 181 ref 6872 ref 184 ref appTerm betaConv 6875 def absThm appThm appThm 6865 ref appThm appThm 1345 ref 181 ref 1874 ref 6875 remove appThm 6865 remove appThm absThm appThm appThm nil 287 ref 6872 remove nil cons cons 6864 remove cons nil cons cons 2028 ref subst eqMp absThm appThm trans trans absThm appThm 123 ref 6763 ref 3655 ref 1345 ref 180 ref 3655 ref 180 ref 583 ref 181 ref 901 ref 6871 remove appTerm 6678 ref appTerm absTerm appTerm absTerm 6876 def absTerm 6877 def 6656 ref appTerm betaConv 6878 def 6365 ref appThm 6876 ref 188 ref appTerm betaConv trans absThm appThm absThm appThm appThm 6790 ref 6791 ref 6763 ref 3655 ref 6878 remove 6794 remove appThm 6876 remove 6793 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6795 ref 6877 remove nil cons cons nil cons nil cons cons 6798 ref subst eqMp 6790 ref 6791 ref 123 ref 6763 ref 3655 ref 1345 ref 181 ref 3655 ref 181 ref 901 ref 6778 ref 10 ref 6799 ref 6661 ref 531 ref 826 ref 6793 remove appTerm appTerm 6879 def 3473 remove appTerm appTerm appTerm appTerm 6802 remove appTerm appTerm appTerm 6678 ref appTerm absTerm 6880 def absTerm 6881 def 6656 ref appTerm betaConv 6882 def 6398 ref appThm 6880 ref 184 ref appTerm betaConv trans absThm appThm absThm appThm appThm 6790 ref 6806 ref 6763 ref 3655 ref 6882 remove 6809 remove appThm 6880 remove 6808 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6795 remove 6881 remove nil cons cons nil cons nil cons cons 6798 remove subst eqMp absThm appThm trans trans absThm appThm 123 ref 3492 ref 825 ref 6790 ref 6791 ref 825 ref 6791 ref 6789 remove 6806 ref 6654 ref 3655 ref 901 ref 6778 ref 10 ref 6799 remove 6810 ref 6879 remove 826 ref 6808 ref appTerm 6883 def appTerm appTerm appTerm appTerm 6812 remove appTerm appTerm appTerm 6678 ref appTerm absTerm appTerm absTerm appTerm absTerm 6884 def absTerm 6885 def 826 ref appTerm betaConv 6886 def 6816 remove appThm 6884 ref 6792 remove appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 821 ref 6817 ref cons opType 6887 def 3 ref cons opType 6888 def 3 ref cons opType 6889 def constTerm 6890 def refl 6891 def "f" 6887 ref var 6892 def 3492 ref 825 ref 6886 remove 6892 ref varTerm 826 ref appTerm 6893 def refl appThm 6884 remove 6893 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 821 ref 6825 remove cons opType var 6894 def 6885 remove nil cons cons nil cons nil cons cons 6827 ref 1175 ref cons 43 ref cons 1121 ref subst 6895 def subst eqMp 6891 ref 6892 ref 123 ref 3492 ref 825 ref 6790 remove 6806 ref 825 ref 6806 remove 6654 ref 3655 ref 901 ref 6778 ref 10 ref 10 ref 3734 ref 6893 remove 6656 ref appTerm 6896 def appTerm 6656 ref appTerm appTerm 6897 def 6810 remove 531 ref 826 ref 6896 ref appTerm appTerm 6898 def 6883 remove appTerm appTerm appTerm appTerm 820 ref 195 ref 6896 remove appTerm 6899 def 6808 remove appTerm appTerm appTerm appTerm appTerm 6678 ref appTerm absTerm appTerm absTerm 6900 def absTerm 6901 def 826 ref appTerm betaConv 6902 def 6836 remove appThm 6900 ref 6807 remove appTerm betaConv trans absThm appThm absThm appThm appThm 6891 remove "f'" 6887 ref var 6903 def 3492 ref 825 ref 6902 remove 6903 ref varTerm 826 ref appTerm 6904 def refl appThm 6900 remove 6904 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6894 remove 6901 remove nil cons cons nil cons nil cons cons 6895 remove subst eqMp absThm appThm trans trans trans 6680 remove assume eqMp nil 83 ref 6890 ref 6892 ref 6890 ref 6903 ref 1319 ref 825 ref 6654 ref 3655 ref 901 ref 6778 ref 10 ref 6897 remove 10 ref 3734 ref 6904 remove 6656 ref appTerm 6905 def appTerm 6656 ref appTerm appTerm 6906 def 6898 remove 826 ref 6905 ref appTerm 6907 def appTerm appTerm appTerm appTerm 820 ref 6899 remove 6905 ref appTerm appTerm appTerm appTerm appTerm 6678 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 6908 def appTerm 6909 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 6888 remove var 6910 def "f'''" 6887 ref var 6911 def 68 ref 6908 ref 6911 ref varTerm 6912 def appTerm 6913 def appTerm 841 ref appTerm 6914 def absTerm nil cons cons nil cons nil cons cons "A" 6887 ref nil cons 6915 def cons nil cons 6916 def 43 ref cons 222 ref subst 6917 def subst 6911 remove nil 24 ref 6914 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 6913 ref nil cons 6918 def cons 1032 ref cons nil cons cons 6919 def 100 ref subst 6919 remove 157 ref subst 6913 ref betaConv 6913 remove assume eqMp nil 83 ref 6890 remove 6903 remove 1319 ref 825 ref 6654 ref 3655 ref 901 ref 6778 ref 10 ref 10 ref 3734 ref 6912 ref 826 ref appTerm 6656 ref appTerm 6920 def appTerm 6656 ref appTerm appTerm 6921 def 6906 remove 531 ref 826 ref 6920 ref appTerm appTerm 6922 def 6907 remove appTerm appTerm appTerm appTerm 820 ref 195 ref 6920 remove appTerm 6923 def 6905 remove appTerm appTerm appTerm appTerm appTerm 6678 ref appTerm absTerm appTerm absTerm appTerm absTerm 6924 def appTerm 6925 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 6910 ref "f''''" 6887 ref var 6926 def 68 ref 6924 ref 6926 ref varTerm 6927 def appTerm 6928 def appTerm 841 ref appTerm 6929 def absTerm nil cons cons nil cons nil cons cons 6917 remove subst 6926 remove nil 24 ref 6929 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 6928 ref nil cons 6930 def cons 1032 ref cons nil cons cons 6931 def 100 ref subst 6931 remove 157 ref subst 6928 ref betaConv 6928 remove assume eqMp nil 83 ref 1319 ref 825 ref 6654 ref 3655 ref 901 ref 6778 remove 10 ref 6921 remove 10 ref 3734 ref 6927 ref 826 ref appTerm 6656 ref appTerm 6932 def appTerm 6656 ref appTerm appTerm 6922 remove 826 ref 6932 ref appTerm appTerm appTerm appTerm appTerm 820 ref 6923 remove 6932 remove appTerm appTerm appTerm appTerm appTerm 6678 remove appTerm absTerm appTerm absTerm appTerm 6933 def nil cons 6934 def cons 1032 ref cons nil cons cons 6935 def 144 ref subst proveHyp 6935 ref 100 ref subst 6935 remove 157 ref subst 3246 ref 6684 ref 3596 ref 3462 ref nil 83 ref 6692 remove nil cons cons 84 ref 6693 ref nil cons cons nil cons 6936 def cons nil cons cons 1910 ref subst 1874 ref nil 3488 ref 84 ref 6691 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 1874 ref 820 ref 3466 ref appTerm 6937 def refl appThm 6938 def nil 150 ref 6690 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 64 ref 932 ref 6690 remove 69 ref appTerm betaConv appThm nil 150 ref 6689 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 255 ref 932 ref 6689 remove 256 ref appTerm betaConv appThm nil 83 ref 6688 ref nil cons cons 84 ref 2386 remove cons nil cons 6939 def cons nil cons cons 1988 ref subst trans absThm appThm trans trans absThm appThm trans appThm trans appThm 6693 ref refl 6940 def appThm trans absThm appThm absThm appThm 3246 ref 6684 ref 3596 ref 3462 ref 1874 ref 123 ref 6938 ref 1022 ref 64 ref 64 ref 331 ref 255 ref 10 ref 6688 remove appTerm 2376 ref appTerm 6941 def absTerm 6942 def appTerm absTerm 6943 def 69 ref appTerm betaConv 6944 def absThm appThm appThm appThm 1022 ref 64 ref 6938 ref 6944 remove appThm absThm appThm appThm nil 1446 ref 6943 remove nil cons cons 83 ref 6937 ref nil cons cons nil cons 6945 def cons nil cons cons 2006 ref subst eqMp 1022 ref 64 ref 123 ref 6938 ref 1022 ref 255 ref 6942 ref 256 ref appTerm betaConv 6946 def absThm appThm appThm appThm 1022 ref 255 ref 6938 ref 6946 remove appThm absThm appThm appThm nil 1446 ref 6942 remove nil cons cons 6945 ref cons nil cons cons 2006 ref subst eqMp absThm appThm trans appThm 6940 ref appThm 123 ref 1874 ref 1022 ref 64 ref 64 ref 331 ref 255 ref 901 ref 6937 remove appTerm 6947 def 6941 remove appTerm 6948 def absTerm 6949 def appTerm absTerm 6950 def 69 ref appTerm betaConv 6951 def absThm appThm appThm 6940 ref appThm appThm 1022 ref 64 ref 1874 ref 6951 remove appThm 6940 ref appThm absThm appThm appThm nil 161 ref 6950 remove nil cons cons 6936 ref cons nil cons cons 2027 ref subst eqMp 1022 ref 64 ref 123 ref 1874 ref 1022 ref 255 ref 6949 ref 256 ref appTerm betaConv 6952 def absThm appThm appThm 6940 ref appThm appThm 1022 ref 255 ref 1874 ref 6952 remove appThm 6940 remove appThm absThm appThm appThm nil 161 ref 6949 remove nil cons cons 6936 remove cons nil cons cons 2027 ref subst eqMp absThm appThm trans trans absThm appThm 123 ref 3596 ref 3462 ref 1022 ref 64 ref 3462 ref 64 ref 331 ref 255 ref 901 ref 6948 remove appTerm 6693 ref appTerm absTerm appTerm absTerm 6953 def absTerm 6954 def 3465 ref appTerm betaConv 6955 def 172 ref appThm 6953 ref 69 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 523 ref 353 ref cons opType 6956 def 3 ref cons opType 6957 def 3 ref cons opType constTerm 6958 def refl 6959 def "f" 6956 ref var 6960 def 3596 ref 3462 ref 6955 remove 6960 ref varTerm 6961 def 3465 ref appTerm 6962 def refl 6963 def appThm 6953 remove 6962 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 523 ref 246 ref cons opType var 6964 def 6954 remove nil cons cons nil cons nil cons cons 1115 ref 3485 ref cons 43 ref cons 1121 ref subst 6965 def subst eqMp 6959 ref 6960 ref 123 ref 3596 ref 3462 ref 1022 ref 255 ref 3462 ref 255 ref 901 ref 6947 ref 10 ref 10 ref 526 ref 6962 ref appTerm 3465 ref appTerm appTerm 6966 def 3504 ref 195 ref 6685 ref 6962 ref appTerm appTerm 6967 def 6687 remove appTerm appTerm appTerm appTerm 820 ref 531 ref 6962 ref appTerm 6968 def 256 ref appTerm appTerm 6969 def appTerm appTerm appTerm 6693 ref appTerm absTerm 6970 def absTerm 6971 def 3465 ref appTerm betaConv 6972 def 1105 ref appThm 6970 ref 256 ref appTerm betaConv trans absThm appThm absThm appThm appThm 6959 ref "f'" 6956 ref var 6973 def 3596 ref 3462 ref 6972 remove 6973 ref varTerm 6974 def 3465 ref appTerm 6975 def refl 6976 def appThm 6970 remove 6975 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6964 ref 6971 remove nil cons cons nil cons nil cons cons 6965 ref subst eqMp absThm appThm trans trans absThm appThm 123 ref 3246 ref 6684 ref 6959 ref 6960 ref 6684 ref 6960 ref 6958 ref 6973 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 6966 ref 10 ref 526 ref 6975 ref appTerm 3465 ref appTerm appTerm 6977 def 6967 remove 6685 ref 6975 ref appTerm 6978 def appTerm appTerm appTerm appTerm 820 ref 6968 remove 6975 ref appTerm appTerm 6979 def appTerm appTerm appTerm 6693 ref appTerm absTerm appTerm absTerm appTerm absTerm 6980 def absTerm 6981 def 6685 ref appTerm betaConv 6982 def 6961 ref refl 6983 def appThm 6980 ref 6961 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 708 ref 6956 remove nil cons 6984 def cons opType 6985 def 3 ref cons opType 6986 def 3 ref cons opType 6987 def constTerm 6988 def refl 6989 def "f" 6985 ref var 6990 def 3246 ref 6684 ref 6982 remove 6990 ref varTerm 6685 ref appTerm 6991 def refl appThm 6980 remove 6991 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 708 ref 6957 remove nil cons 6992 def cons opType var 6993 def 6981 remove nil cons cons nil cons nil cons cons "B" 6984 ref cons 6994 def 717 ref cons 43 ref cons 1121 ref subst 6995 def subst eqMp 6989 ref 6990 ref 123 ref 3246 ref 6684 ref 6959 ref 6973 ref 6684 ref 6973 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 10 ref 526 ref 6991 remove 3465 ref appTerm 6996 def appTerm 3465 ref appTerm appTerm 6997 def 6977 ref 195 ref 6685 ref 6996 ref appTerm appTerm 6998 def 6978 remove appTerm appTerm appTerm appTerm 820 ref 531 ref 6996 remove appTerm 6999 def 6975 ref appTerm appTerm appTerm appTerm appTerm 6693 ref appTerm absTerm appTerm absTerm 7000 def absTerm 7001 def 6685 ref appTerm betaConv 7002 def 6974 ref refl 7003 def appThm 7000 ref 6974 ref appTerm betaConv trans absThm appThm absThm appThm appThm 6989 remove "f'" 6985 ref var 7004 def 3246 ref 6684 ref 7002 remove 7004 ref varTerm 6685 ref appTerm 7005 def refl appThm 7000 remove 7005 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6993 remove 7001 remove nil cons cons nil cons nil cons cons 6995 remove subst eqMp absThm appThm trans trans trans 6694 remove assume eqMp nil 83 ref 6988 ref 6990 remove 6988 ref 7004 ref 801 ref 6684 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 6997 remove 10 ref 526 ref 7005 remove 3465 ref appTerm 7006 def appTerm 3465 ref appTerm appTerm 7007 def 6998 remove 6685 ref 7006 ref appTerm 7008 def appTerm appTerm appTerm appTerm 820 ref 6999 remove 7006 ref appTerm appTerm appTerm appTerm appTerm 6693 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7009 def appTerm 7010 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 6986 remove var 7011 def "f'''''" 6985 ref var 7012 def 68 ref 7009 ref 7012 ref varTerm 7013 def appTerm 7014 def appTerm 841 ref appTerm 7015 def absTerm nil cons cons nil cons nil cons cons "A" 6985 ref nil cons cons nil cons 7016 def 43 ref cons 222 ref subst 7017 def subst 7012 remove nil 24 ref 7015 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7014 ref nil cons 7018 def cons 1032 ref cons nil cons cons 7019 def 100 ref subst 7019 remove 157 ref subst 7014 ref betaConv 7014 remove assume eqMp nil 83 ref 6988 remove 7004 remove 801 ref 6684 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 10 ref 526 ref 7013 remove 6685 ref appTerm 3465 ref appTerm 7020 def appTerm 3465 ref appTerm appTerm 7021 def 7007 remove 195 ref 6685 ref 7020 ref appTerm appTerm 7022 def 7008 remove appTerm appTerm appTerm appTerm 820 ref 531 ref 7020 remove appTerm 7023 def 7006 remove appTerm appTerm appTerm appTerm appTerm 6693 ref appTerm absTerm appTerm absTerm appTerm absTerm 7024 def appTerm 7025 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 7011 ref "f''''''" 6985 ref var 7026 def 68 ref 7024 ref 7026 ref varTerm 7027 def appTerm 7028 def appTerm 841 ref appTerm 7029 def absTerm nil cons cons nil cons nil cons cons 7017 remove subst 7026 remove nil 24 ref 7029 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7028 ref nil cons 7030 def cons 1032 ref cons nil cons cons 7031 def 100 ref subst 7031 remove 157 ref subst 7028 ref betaConv 7028 remove assume eqMp nil 83 ref 801 ref 6684 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 7021 remove 10 ref 526 ref 7027 remove 6685 ref appTerm 3465 ref appTerm 7032 def appTerm 3465 ref appTerm appTerm 7022 remove 6685 ref 7032 ref appTerm appTerm appTerm appTerm appTerm 820 ref 7023 remove 7032 remove appTerm appTerm appTerm appTerm appTerm 6693 remove appTerm absTerm appTerm absTerm appTerm nil cons 7033 def cons 1032 ref cons nil cons cons 7034 def 144 ref subst proveHyp 7034 ref 100 ref subst 7034 remove 157 ref subst 753 ref 734 ref 3596 ref 3462 ref nil 83 ref 6649 remove nil cons cons 84 ref 6651 ref nil cons cons nil cons 7035 def cons nil cons cons 1910 ref subst 1874 ref nil 3488 ref 84 ref 6648 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 6938 ref nil 150 ref 6647 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 64 ref 932 ref 6647 remove 69 ref appTerm betaConv appThm nil 150 ref 6646 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 255 ref 932 ref 6646 remove 256 ref appTerm betaConv appThm nil 83 ref 6645 ref nil cons cons 6939 ref cons nil cons cons 1988 ref subst trans absThm appThm trans trans absThm appThm trans appThm trans appThm 6651 ref refl 7036 def appThm trans absThm appThm absThm appThm 753 ref 734 ref 3596 ref 3462 ref 1874 ref 123 ref 6938 ref 1022 ref 64 ref 64 ref 331 ref 255 ref 10 ref 6645 remove appTerm 2376 ref appTerm 7037 def absTerm 7038 def appTerm absTerm 7039 def 69 ref appTerm betaConv 7040 def absThm appThm appThm appThm 1022 ref 64 ref 6938 ref 7040 remove appThm absThm appThm appThm nil 1446 ref 7039 remove nil cons cons 6945 ref cons nil cons cons 2006 ref subst eqMp 1022 ref 64 ref 123 ref 6938 ref 1022 ref 255 ref 7038 ref 256 ref appTerm betaConv 7041 def absThm appThm appThm appThm 1022 ref 255 ref 6938 ref 7041 remove appThm absThm appThm appThm nil 1446 ref 7038 remove nil cons cons 6945 ref cons nil cons cons 2006 ref subst eqMp absThm appThm trans appThm 7036 ref appThm 123 ref 1874 ref 1022 ref 64 ref 64 ref 331 ref 255 ref 6947 ref 7037 remove appTerm 7042 def absTerm 7043 def appTerm absTerm 7044 def 69 ref appTerm betaConv 7045 def absThm appThm appThm 7036 ref appThm appThm 1022 ref 64 ref 1874 ref 7045 remove appThm 7036 ref appThm absThm appThm appThm nil 161 ref 7044 remove nil cons cons 7035 ref cons nil cons cons 2027 ref subst eqMp 1022 ref 64 ref 123 ref 1874 ref 1022 ref 255 ref 7043 ref 256 ref appTerm betaConv 7046 def absThm appThm appThm 7036 ref appThm appThm 1022 ref 255 ref 1874 ref 7046 remove appThm 7036 remove appThm absThm appThm appThm nil 161 ref 7043 remove nil cons cons 7035 remove cons nil cons cons 2027 ref subst eqMp absThm appThm trans trans absThm appThm 123 ref 3596 ref 3462 ref 1022 ref 64 ref 3462 ref 64 ref 331 ref 255 ref 901 ref 7042 remove appTerm 6651 ref appTerm absTerm appTerm absTerm 7047 def absTerm 7048 def 3465 ref appTerm betaConv 7049 def 172 ref appThm 7047 ref 69 ref appTerm betaConv trans absThm appThm absThm appThm appThm 6959 ref 6960 ref 3596 ref 3462 ref 7049 remove 6963 ref appThm 7047 remove 6962 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6964 ref 7048 remove nil cons cons nil cons nil cons cons 6965 ref subst eqMp 6959 ref 6960 ref 123 ref 3596 ref 3462 ref 1022 ref 255 ref 3462 ref 255 ref 901 ref 6947 ref 10 ref 6966 ref 3504 ref 739 ref 735 ref 6962 ref appTerm appTerm 7050 def 4412 ref appTerm appTerm appTerm appTerm 6969 ref appTerm appTerm appTerm 6651 ref appTerm absTerm 7051 def absTerm 7052 def 3465 ref appTerm betaConv 7053 def 1105 ref appThm 7051 ref 256 ref appTerm betaConv trans absThm appThm absThm appThm appThm 6959 ref 6973 ref 3596 ref 3462 ref 7053 remove 6976 ref appThm 7051 remove 6975 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6964 ref 7052 remove nil cons cons nil cons nil cons cons 6965 ref subst eqMp absThm appThm trans trans absThm appThm 123 ref 753 ref 734 ref 6959 ref 6960 ref 734 ref 6960 ref 6958 ref 6973 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 6966 ref 6977 ref 7050 remove 735 ref 6975 ref appTerm 7054 def appTerm appTerm appTerm appTerm 6979 ref appTerm appTerm appTerm 6651 ref appTerm absTerm appTerm absTerm appTerm absTerm 7055 def absTerm 7056 def 735 ref appTerm betaConv 7057 def 6983 ref appThm 7055 ref 6961 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 728 ref 6984 ref cons opType 7058 def 3 ref cons opType 7059 def 3 ref cons opType 7060 def constTerm 7061 def refl 7062 def "f" 7058 ref var 7063 def 753 ref 734 ref 7057 remove 7063 ref varTerm 735 ref appTerm 7064 def refl appThm 7055 remove 7064 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 728 ref 6992 ref cons opType var 7065 def 7056 remove nil cons cons nil cons nil cons cons 6994 ref 772 ref cons 43 ref cons 1121 ref subst 7066 def subst eqMp 7062 ref 7063 ref 123 ref 753 ref 734 ref 6959 ref 6973 ref 734 ref 6973 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 10 ref 526 ref 7064 remove 3465 ref appTerm 7067 def appTerm 3465 ref appTerm appTerm 7068 def 6977 ref 739 ref 735 ref 7067 ref appTerm appTerm 7069 def 7054 remove appTerm appTerm appTerm appTerm 820 ref 531 ref 7067 remove appTerm 7070 def 6975 ref appTerm appTerm appTerm appTerm appTerm 6651 ref appTerm absTerm appTerm absTerm 7071 def absTerm 7072 def 735 ref appTerm betaConv 7073 def 7003 ref appThm 7071 ref 6974 ref appTerm betaConv trans absThm appThm absThm appThm appThm 7062 remove "f'" 7058 ref var 7074 def 753 ref 734 ref 7073 remove 7074 ref varTerm 735 ref appTerm 7075 def refl appThm 7071 remove 7075 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 7065 remove 7072 remove nil cons cons nil cons nil cons cons 7066 remove subst eqMp absThm appThm trans trans trans 6652 remove assume eqMp nil 83 ref 7061 ref 7063 remove 7061 ref 7074 ref 749 ref 734 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 7068 remove 10 ref 526 ref 7075 remove 3465 ref appTerm 7076 def appTerm 3465 ref appTerm appTerm 7077 def 7069 remove 735 ref 7076 ref appTerm 7078 def appTerm appTerm appTerm appTerm 820 ref 7070 remove 7076 ref appTerm appTerm appTerm appTerm appTerm 6651 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7079 def appTerm 7080 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 7059 remove var 7081 def "f'''''''" 7058 ref var 7082 def 68 ref 7079 ref 7082 ref varTerm 7083 def appTerm 7084 def appTerm 841 ref appTerm 7085 def absTerm nil cons cons nil cons nil cons cons "A" 7058 ref nil cons cons nil cons 7086 def 43 ref cons 222 ref subst 7087 def subst 7082 remove nil 24 ref 7085 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7084 ref nil cons 7088 def cons 1032 ref cons nil cons cons 7089 def 100 ref subst 7089 remove 157 ref subst 7084 ref betaConv 7084 remove assume eqMp nil 83 ref 7061 remove 7074 remove 749 ref 734 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 10 ref 526 ref 7083 remove 735 ref appTerm 3465 ref appTerm 7090 def appTerm 3465 ref appTerm appTerm 7091 def 7077 remove 739 ref 735 ref 7090 ref appTerm appTerm 7092 def 7078 remove appTerm appTerm appTerm appTerm 820 ref 531 ref 7090 remove appTerm 7093 def 7076 remove appTerm appTerm appTerm appTerm appTerm 6651 ref appTerm absTerm appTerm absTerm appTerm absTerm 7094 def appTerm 7095 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 7081 ref "f''''''''" 7058 ref var 7096 def 68 ref 7094 ref 7096 ref varTerm 7097 def appTerm 7098 def appTerm 841 ref appTerm 7099 def absTerm nil cons cons nil cons nil cons cons 7087 remove subst 7096 remove nil 24 ref 7099 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7098 ref nil cons 7100 def cons 1032 ref cons nil cons cons 7101 def 100 ref subst 7101 remove 157 ref subst 7098 ref betaConv 7098 remove assume eqMp nil 83 ref 749 ref 734 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 7091 remove 10 ref 526 ref 7097 remove 735 ref appTerm 3465 ref appTerm 7102 def appTerm 3465 ref appTerm appTerm 7092 remove 735 ref 7102 ref appTerm appTerm appTerm appTerm appTerm 820 ref 7093 remove 7102 remove appTerm appTerm appTerm appTerm appTerm 6651 remove appTerm absTerm appTerm absTerm appTerm nil cons 7103 def cons 1032 ref cons nil cons cons 7104 def 144 ref subst proveHyp 7104 ref 100 ref subst 7104 remove 157 ref subst 1819 ref 1111 ref 3596 ref 3462 ref nil 83 ref 6708 remove nil cons cons 84 ref 6709 ref nil cons cons nil cons 7105 def cons nil cons cons 1910 ref subst 1874 ref nil 3488 remove 84 ref 6707 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 6938 ref nil 150 ref 6706 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 64 ref 932 ref 6706 remove 69 ref appTerm betaConv appThm nil 150 ref 6705 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 255 ref 932 ref 6705 remove 256 ref appTerm betaConv appThm nil 83 ref 6704 ref nil cons cons 6939 remove cons nil cons cons 1988 ref subst trans absThm appThm trans trans absThm appThm trans appThm trans appThm 6709 ref refl 7106 def appThm trans absThm appThm absThm appThm 1819 ref 1111 ref 3596 ref 3462 ref 1874 ref 123 ref 6938 ref 1022 ref 64 ref 64 ref 331 ref 255 ref 10 ref 6704 remove appTerm 2376 remove appTerm 7107 def absTerm 7108 def appTerm absTerm 7109 def 69 ref appTerm betaConv 7110 def absThm appThm appThm appThm 1022 ref 64 ref 6938 ref 7110 remove appThm absThm appThm appThm nil 1446 ref 7109 remove nil cons cons 6945 ref cons nil cons cons 2006 ref subst eqMp 1022 ref 64 ref 123 ref 6938 ref 1022 ref 255 ref 7108 ref 256 ref appTerm betaConv 7111 def absThm appThm appThm appThm 1022 ref 255 ref 6938 remove 7111 remove appThm absThm appThm appThm nil 1446 ref 7108 remove nil cons cons 6945 remove cons nil cons cons 2006 ref subst eqMp absThm appThm trans appThm 7106 ref appThm 123 ref 1874 ref 1022 ref 64 ref 64 ref 331 ref 255 ref 6947 ref 7107 remove appTerm 7112 def absTerm 7113 def appTerm absTerm 7114 def 69 ref appTerm betaConv 7115 def absThm appThm appThm 7106 ref appThm appThm 1022 ref 64 ref 1874 ref 7115 remove appThm 7106 ref appThm absThm appThm appThm nil 161 ref 7114 remove nil cons cons 7105 ref cons nil cons cons 2027 ref subst eqMp 1022 ref 64 ref 123 ref 1874 ref 1022 ref 255 ref 7113 ref 256 ref appTerm betaConv 7116 def absThm appThm appThm 7106 ref appThm appThm 1022 ref 255 ref 1874 ref 7116 remove appThm 7106 remove appThm absThm appThm appThm nil 161 ref 7113 remove nil cons cons 7105 remove cons nil cons cons 2027 ref subst eqMp absThm appThm trans trans absThm appThm 123 ref 3596 ref 3462 ref 1022 ref 64 ref 3462 ref 64 ref 331 ref 255 ref 901 ref 7112 remove appTerm 6709 ref appTerm absTerm appTerm absTerm 7117 def absTerm 7118 def 3465 ref appTerm betaConv 7119 def 172 ref appThm 7117 ref 69 ref appTerm betaConv trans absThm appThm absThm appThm appThm 6959 ref 6960 ref 3596 ref 3462 ref 7119 remove 6963 remove appThm 7117 remove 6962 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6964 ref 7118 remove nil cons cons nil cons nil cons cons 6965 ref subst eqMp 6959 ref 6960 ref 123 ref 3596 ref 3462 ref 1022 ref 255 ref 3462 ref 255 ref 901 ref 6947 ref 10 ref 6966 ref 3504 remove 531 ref 1112 ref 6962 remove appTerm appTerm 7120 def 6703 remove appTerm appTerm appTerm appTerm 6969 remove appTerm appTerm appTerm 6709 ref appTerm absTerm 7121 def absTerm 7122 def 3465 ref appTerm betaConv 7123 def 1105 ref appThm 7121 ref 256 ref appTerm betaConv trans absThm appThm absThm appThm appThm 6959 ref 6973 ref 3596 remove 3462 ref 7123 remove 6976 remove appThm 7121 remove 6975 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 6964 remove 7122 remove nil cons cons nil cons nil cons cons 6965 remove subst eqMp absThm appThm trans trans absThm appThm 123 ref 1819 ref 1111 ref 6959 ref 6960 ref 1111 ref 6960 remove 6958 remove 6973 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 6966 remove 6977 ref 7120 remove 1112 ref 6975 ref appTerm 7124 def appTerm appTerm appTerm appTerm 6979 remove appTerm appTerm appTerm 6709 ref appTerm absTerm appTerm absTerm appTerm absTerm 7125 def absTerm 7126 def 1112 ref appTerm betaConv 7127 def 6983 remove appThm 7125 ref 6961 remove appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 1106 ref 6984 remove cons opType 7128 def 3 ref cons opType 7129 def 3 ref cons opType 7130 def constTerm 7131 def refl 7132 def "f" 7128 ref var 7133 def 1819 ref 1111 ref 7127 remove 7133 ref varTerm 1112 ref appTerm 7134 def refl appThm 7125 remove 7134 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 1106 remove 6992 remove cons opType var 7135 def 7126 remove nil cons cons nil cons nil cons cons 6994 remove 1131 remove cons 43 ref cons 1121 ref subst 7136 def subst eqMp 7132 ref 7133 ref 123 ref 1819 ref 1111 ref 6959 remove 6973 ref 1111 ref 6973 remove 3588 ref 3462 ref 901 ref 6947 ref 10 ref 10 ref 526 ref 7134 remove 3465 ref appTerm 7137 def appTerm 3465 ref appTerm appTerm 7138 def 6977 remove 531 ref 1112 ref 7137 ref appTerm appTerm 7139 def 7124 remove appTerm appTerm appTerm appTerm 820 ref 531 ref 7137 remove appTerm 7140 def 6975 remove appTerm appTerm appTerm appTerm appTerm 6709 ref appTerm absTerm appTerm absTerm 7141 def absTerm 7142 def 1112 ref appTerm betaConv 7143 def 7003 remove appThm 7141 ref 6974 remove appTerm betaConv trans absThm appThm absThm appThm appThm 7132 remove "f'" 7128 ref var 7144 def 1819 remove 1111 ref 7143 remove 7144 ref varTerm 1112 ref appTerm 7145 def refl appThm 7141 remove 7145 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 7135 remove 7142 remove nil cons cons nil cons nil cons cons 7136 remove subst eqMp absThm appThm trans trans trans 6710 remove assume eqMp nil 83 ref 7131 ref 7133 remove 7131 ref 7144 ref 1321 ref 1111 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 7138 remove 10 ref 526 ref 7145 remove 3465 ref appTerm 7146 def appTerm 3465 ref appTerm appTerm 7147 def 7139 remove 1112 ref 7146 ref appTerm 7148 def appTerm appTerm appTerm appTerm 820 ref 7140 remove 7146 ref appTerm appTerm appTerm appTerm appTerm 6709 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7149 def appTerm 7150 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 7129 remove var 7151 def "f'''''''''" 7128 ref var 7152 def 68 ref 7149 ref 7152 ref varTerm 7153 def appTerm 7154 def appTerm 841 ref appTerm 7155 def absTerm nil cons cons nil cons nil cons cons "A" 7128 ref nil cons cons nil cons 7156 def 43 ref cons 222 ref subst 7157 def subst 7152 remove nil 24 ref 7155 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7154 ref nil cons 7158 def cons 1032 ref cons nil cons cons 7159 def 100 ref subst 7159 remove 157 ref subst 7154 ref betaConv 7154 remove assume eqMp nil 83 ref 7131 remove 7144 remove 1321 ref 1111 ref 3588 ref 3462 ref 901 ref 6947 ref 10 ref 10 ref 526 ref 7153 remove 1112 ref appTerm 3465 ref appTerm 7160 def appTerm 3465 ref appTerm appTerm 7161 def 7147 remove 531 ref 1112 ref 7160 ref appTerm appTerm 7162 def 7148 remove appTerm appTerm appTerm appTerm 820 ref 531 ref 7160 remove appTerm 7163 def 7146 remove appTerm appTerm appTerm appTerm appTerm 6709 ref appTerm absTerm appTerm absTerm appTerm absTerm 7164 def appTerm 7165 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 7151 ref "f''''''''''" 7128 ref var 7166 def 68 ref 7164 ref 7166 ref varTerm 7167 def appTerm 7168 def appTerm 841 ref appTerm 7169 def absTerm nil cons cons nil cons nil cons cons 7157 remove subst 7166 remove nil 24 ref 7169 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7168 ref nil cons 7170 def cons 1032 ref cons nil cons cons 7171 def 100 ref subst 7171 remove 157 ref subst 7168 ref betaConv 7168 remove assume eqMp nil 83 ref 1321 remove 1111 ref 3588 ref 3462 ref 901 ref 6947 remove 10 ref 7161 remove 10 ref 526 ref 7167 remove 1112 ref appTerm 3465 ref appTerm 7172 def appTerm 3465 ref appTerm appTerm 7162 remove 1112 ref 7172 ref appTerm appTerm appTerm appTerm appTerm 820 ref 7163 remove 7172 remove appTerm appTerm appTerm appTerm appTerm 6709 remove appTerm absTerm appTerm absTerm appTerm nil cons 7173 def cons 1032 ref cons nil cons cons 7174 def 144 ref subst proveHyp 7174 ref 100 ref subst 7174 remove 157 ref subst nil 83 ref 4955 ref 0 ref 524 ref 525 remove cons opType constTerm 3464 ref appTerm 7175 def 4955 ref 0 ref 3575 ref 3576 ref cons opType constTerm 7176 def 4955 ref 0 ref 3577 ref 3577 ref nil cons cons opType constTerm 3578 ref appTerm 7177 def 826 ref appTerm 7178 def appTerm 7179 def 6608 ref appTerm 7180 def appTerm 7181 def nil cons 7182 def cons 7183 def nil cons nil cons cons 7184 def 5009 ref subst nil 83 ref 820 ref 7181 remove appTerm 7185 def nil cons 7186 def cons 84 ref 7182 ref cons nil cons 7187 def cons nil cons cons 7188 def 100 ref subst 7188 remove 157 ref subst nil "f" 3648 ref var 7189 def 6655 ref nil cons cons 7190 def "x" 3574 ref var 7191 def 6624 ref cons nil cons 7192 def cons nil cons cons 6796 ref 786 ref cons 43 ref cons 5149 ref subst 7193 def subst 6715 ref assume eqMp 7194 def nil 83 ref 4955 ref 0 ref 3648 ref 3732 ref cons opType constTerm 7195 def 6655 remove appTerm 7196 def 6608 ref appTerm 7197 def nil cons cons 7198 def 84 ref 820 ref 531 ref 4955 ref 0 ref 821 ref 1148 ref cons opType 7199 def constTerm 7200 def 826 ref appTerm 7201 def 4955 ref 0 ref 6787 remove 6817 remove cons opType constTerm 7202 def 4955 ref 0 ref 6887 ref 6915 remove cons opType constTerm 7203 def 6912 ref appTerm 7204 def 826 ref appTerm 7205 def appTerm 7206 def 6608 ref appTerm 7207 def appTerm appTerm 7201 ref 7202 ref 7203 remove 6927 ref appTerm 7208 def 826 ref appTerm 7209 def appTerm 7210 def 6608 ref appTerm 7211 def appTerm appTerm appTerm 7212 def nil cons cons nil cons 7213 def cons nil cons cons 157 ref subst proveHyp 7194 remove nil 7198 remove 84 ref 7186 ref cons nil cons cons nil cons cons 157 ref subst proveHyp 7185 ref assume eqMp nil 83 ref 10 ref 7197 remove appTerm 7214 def 7185 remove appTerm nil cons cons 84 ref 820 ref 195 ref 7207 ref appTerm 7211 ref appTerm appTerm nil cons 7215 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_17133" 821 ref var 7216 def 6393 remove cons "_17134" 3574 remove var 7217 def 6624 remove cons nil cons cons nil cons cons 7218 def nil 836 ref 901 ref 820 ref 7196 ref 7217 remove varTerm 7219 def appTerm 7220 def appTerm 7221 def appTerm 7222 def 7175 ref 7176 remove 7177 remove 7216 remove varTerm 7223 def appTerm appTerm 7224 def 7219 ref appTerm appTerm 7225 def appTerm nil cons cons 838 ref 820 ref 195 ref 7202 ref 7204 remove 7223 ref appTerm appTerm 7226 def 7219 ref appTerm 7227 def appTerm 7202 remove 7208 remove 7223 ref appTerm appTerm 7228 def 7219 ref appTerm 7229 def appTerm appTerm 7230 def nil cons 7231 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 7225 ref nil cons 7232 def cons 838 ref 7221 ref nil cons 7233 def cons nil cons 7234 def cons nil cons cons 2144 ref subst 23 ref nil 838 ref 7220 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 7235 def 820 ref 7225 ref appTerm refl appThm trans appThm 7230 ref refl appThm trans nil 917 ref 7232 ref cons 7236 def 84 ref 7231 ref cons 83 ref 7233 ref cons nil cons 7237 def cons cons nil cons cons 2174 ref subst nil 984 ref 7233 ref cons 7238 def 983 ref 7231 remove cons 2148 ref 7232 ref cons nil cons 7239 def cons cons nil cons cons 3414 ref subst 3655 ref 10 ref 10 ref 901 ref 901 ref 820 ref 7196 remove 6656 ref appTerm appTerm 7240 def appTerm 7241 def 7195 ref 4955 ref 0 ref 3733 ref 3733 ref nil cons cons opType constTerm 3734 ref appTerm 7242 def 7226 remove 6656 ref appTerm 7243 def appTerm appTerm 6656 ref appTerm appTerm appTerm 7175 ref 7224 remove 6656 ref appTerm appTerm 7244 def appTerm appTerm 10 ref 901 ref 7241 ref 7195 ref 7242 ref 7228 remove 6656 ref appTerm 7245 def appTerm appTerm 6656 ref appTerm appTerm appTerm 7244 ref appTerm appTerm 901 ref 7241 ref 531 ref 7200 ref 7223 ref appTerm 7246 def 7243 ref appTerm appTerm 7246 ref 7245 ref appTerm appTerm appTerm appTerm 7244 ref appTerm appTerm appTerm appTerm 901 ref 7241 ref 820 ref 195 ref 7243 remove appTerm 7245 remove appTerm appTerm appTerm appTerm 7244 remove appTerm appTerm absTerm 7247 def 7219 ref appTerm 7248 def betaConv 825 ref 6654 ref 3655 ref 10 ref 10 ref 901 ref 7241 ref 7195 ref 7242 ref 7206 remove 6656 ref appTerm 7249 def appTerm 7250 def appTerm 6656 ref appTerm 7251 def appTerm 7252 def appTerm 7175 remove 7179 remove 6656 ref appTerm 7253 def appTerm 7254 def appTerm 7255 def appTerm 10 ref 901 ref 7241 ref 7195 ref 7242 ref 7210 remove 6656 ref appTerm 7256 def appTerm 7257 def appTerm 6656 ref appTerm 7258 def appTerm 7259 def appTerm 7254 ref appTerm appTerm 901 ref 7241 ref 531 ref 7201 ref 7249 ref appTerm appTerm 7201 ref 7256 ref appTerm appTerm 7260 def appTerm 7261 def appTerm 7254 ref appTerm appTerm appTerm appTerm 901 ref 7241 remove 820 ref 195 ref 7249 ref appTerm 7256 ref appTerm appTerm 7262 def appTerm 7263 def appTerm 7254 ref appTerm 7264 def appTerm absTerm appTerm absTerm 7265 def 7223 ref appTerm 7266 def betaConv 3492 ref 825 ref 6763 ref 3655 ref 1874 ref nil 838 ref 7240 remove nil cons cons 7267 def 836 ref 10 ref 7251 ref appTerm 10 ref 7258 ref appTerm 7260 ref appTerm 7268 def appTerm nil cons cons 1605 ref 7262 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst 23 ref nil 7267 ref 836 ref 7251 remove nil cons cons 1605 ref 7268 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst 23 ref 7252 ref refl appThm nil 7267 remove 836 ref 7258 remove nil cons cons 1605 ref 7260 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst appThm trans appThm 7263 ref refl appThm trans appThm 7254 ref refl appThm nil 838 ref 10 ref 7252 ref appTerm 10 ref 7259 ref appTerm 7261 ref appTerm 7269 def appTerm nil cons cons 836 ref 7263 remove nil cons cons 1605 ref 7254 remove nil cons cons nil cons 7270 def cons cons nil cons cons 5138 ref subst 23 ref nil 838 ref 7252 remove nil cons cons 836 ref 7269 remove nil cons cons 7270 ref cons cons nil cons cons 5138 ref subst 23 ref 7255 remove refl appThm nil 838 ref 7259 remove nil cons cons 836 ref 7261 remove nil cons cons 7270 remove cons cons nil cons cons 5138 ref subst appThm trans appThm 7264 remove refl appThm trans trans absThm appThm absThm appThm 3492 ref 825 ref 6763 remove 3655 ref 1874 ref 1874 ref 932 ref nil 7190 remove 7191 ref 6656 ref nil cons cons nil cons 7271 def cons nil cons cons 7193 ref subst appThm appThm 23 ref 23 ref 3734 ref refl 7272 def nil 6892 ref 6912 remove nil cons cons 6394 ref cons nil cons cons 1174 ref 6827 remove nil cons cons 43 ref cons 5149 ref subst 7273 def subst 6656 ref refl 7274 def appThm nil 6791 ref 7205 remove nil cons cons 7271 ref cons nil cons cons 6796 ref 42 ref cons 43 ref cons 5149 ref subst 7275 def subst trans 7276 def appThm 7274 ref appThm nil "f" 3733 remove var 3734 remove nil cons cons 7277 def 180 ref 7249 remove nil cons cons nil cons 7278 def cons nil cons cons 40 ref "B" 3732 remove cons nil cons cons 43 ref cons 5149 ref subst 7279 def subst 7274 ref appThm nil 7189 ref 7250 remove nil cons cons 7271 ref cons nil cons cons 7193 ref subst trans trans appThm 23 ref 7272 remove nil 6892 remove 6927 remove nil cons cons 6394 ref cons nil cons cons 7273 remove subst 7274 ref appThm nil 6791 remove 7209 remove nil cons cons 7271 ref cons nil cons cons 7275 remove subst trans 7280 def appThm 7274 ref appThm nil 7277 remove 180 ref 7256 remove nil cons cons nil cons 7281 def cons nil cons cons 7279 remove subst 7274 ref appThm nil 7189 remove 7257 remove nil cons cons 7271 ref cons nil cons cons 7193 remove subst trans trans appThm 1516 ref 826 ref refl 7282 def 7276 ref appThm nil 7278 remove nil cons cons 3658 remove 5149 ref subst 7283 def subst trans appThm 7282 remove 7280 ref appThm nil 7281 remove nil cons cons 7283 ref subst trans appThm appThm appThm appThm 932 ref 195 ref refl 7284 def 7276 remove appThm 7280 remove appThm appThm appThm appThm appThm 3464 ref refl 7285 def nil "f" 3577 remove var 3578 ref nil cons cons 6394 ref cons nil cons cons 1174 ref "B" 3576 remove cons nil cons cons 43 ref cons 5149 ref subst subst 7286 def 7274 remove appThm nil "f" 3575 remove var 7178 remove nil cons cons 7287 def 7271 remove cons nil cons cons 6796 remove "B" 528 remove cons nil cons cons 43 ref cons 5149 ref subst 7288 def subst trans appThm nil "f" 524 remove var 3464 ref nil cons cons 7289 def 3622 ref 7253 remove nil cons cons nil cons cons nil cons cons 3484 remove 786 ref cons 43 ref cons 5149 ref subst 7290 def subst trans appThm absThm appThm absThm appThm 6933 remove assume eqMp eqMp nil 83 ref 1319 ref 7265 ref appTerm nil cons cons 84 ref 7266 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 7265 remove nil cons cons 1315 ref 7223 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 6654 ref 7247 ref appTerm nil cons cons 84 ref 7248 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 6797 ref "P" 3648 remove var 7291 def 7247 remove nil cons cons 7191 remove 7219 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 7292 def nil 119 ref 10 ref 901 ref 7222 ref 7195 ref 7242 ref 7227 ref appTerm appTerm 7219 ref appTerm appTerm appTerm 7225 ref appTerm 7293 def appTerm 10 ref 901 ref 7222 ref 7195 remove 7242 remove 7229 ref appTerm appTerm 7219 remove appTerm appTerm appTerm 7225 ref appTerm 7294 def appTerm 901 ref 7222 ref 531 ref 7246 ref 7227 remove appTerm appTerm 7246 remove 7229 remove appTerm appTerm 7295 def appTerm 7296 def appTerm 7225 ref appTerm 7297 def appTerm 7298 def appTerm nil cons cons 121 ref 901 ref 7222 remove 7230 remove appTerm appTerm 7225 ref appTerm nil cons cons nil cons cons nil cons cons 7299 def 581 ref subst proveHyp eqMp eqMp eqMp subst eqMp nil 83 ref 7215 remove cons 7213 remove cons nil cons cons 144 ref subst proveHyp nil "_17130" 1 ref var 7300 def 7211 remove nil cons cons "_17129" 1 ref var 7301 def 7207 remove nil cons cons nil cons cons nil cons cons nil 836 ref 195 ref 7301 remove varTerm 7302 def appTerm 7303 def 7300 remove varTerm 7304 def appTerm nil cons cons 838 ref 820 ref 531 ref 7201 ref 7302 ref appTerm appTerm 7305 def 7201 ref 7304 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 2085 ref subst 181 ref 901 ref 820 ref 7305 remove 7201 ref 184 ref appTerm 7306 def appTerm appTerm appTerm 7303 remove 184 ref appTerm appTerm absTerm 7307 def 7304 ref appTerm 7308 def betaConv 180 ref 178 ref 181 ref 901 ref 820 ref 531 ref 7201 remove 188 ref appTerm appTerm 7306 remove appTerm appTerm appTerm 3476 ref appTerm absTerm appTerm absTerm 7309 def 7302 ref appTerm 7310 def betaConv 179 ref 180 ref 179 ref 181 ref 1874 ref 932 ref 1516 ref 7283 ref appThm nil 643 ref nil cons cons 7283 ref subst appThm appThm appThm 3476 ref refl 7311 def appThm absThm appThm absThm appThm 179 ref 180 ref 179 ref 181 ref nil 83 ref 3474 remove nil cons cons 6769 ref cons nil cons cons 1910 ref subst absThm appThm absThm appThm 3478 remove assume eqMp eqMp nil 83 ref 178 ref 7309 ref appTerm nil cons cons 84 ref 7310 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 7309 remove nil cons cons 180 ref 7302 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 7307 ref appTerm nil cons cons 84 ref 7308 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 7307 remove nil cons cons 180 ref 7304 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 83 ref 7214 remove 7212 remove appTerm nil cons cons 7187 remove cons nil cons cons 144 ref subst proveHyp 7218 remove nil 836 ref 7296 remove nil cons cons 838 ref 7232 ref cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 7295 ref nil cons 7312 def cons 7234 remove cons nil cons cons 2144 ref subst 7235 remove 820 ref 7295 ref appTerm refl appThm trans appThm 7225 ref refl appThm trans 123 ref nil 7236 remove 84 ref 7312 ref cons 7313 def 7237 ref cons 7314 def cons nil cons cons 2174 ref subst 901 ref 7295 remove appTerm 7315 def refl nil 84 ref 7232 ref cons 7237 remove cons nil cons cons 2097 ref subst appThm trans appThm 901 ref 7225 remove appTerm 7316 def refl nil 7314 remove nil cons cons 2097 ref subst appThm nil 917 ref 7233 remove cons 7313 remove 83 ref 7232 remove cons nil cons cons cons nil cons cons 2174 ref subst trans appThm nil 315 ref 7315 remove 7316 remove 7221 remove appTerm appTerm nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp nil 7238 remove 983 ref 7312 remove cons 7239 remove cons cons nil cons cons 3414 ref subst 7292 remove 7299 remove 135 ref subst proveHyp nil 119 ref 7293 remove nil cons cons 121 ref 7298 remove nil cons cons nil cons cons nil cons cons 581 ref subst proveHyp nil 119 ref 7294 remove nil cons cons 121 ref 7297 remove nil cons cons nil cons cons nil cons cons 581 ref subst proveHyp eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 7186 remove cons 121 ref 7182 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 7183 remove 1032 ref cons nil cons cons 144 ref subst proveHyp 7184 remove 2222 ref subst 932 ref 7285 remove 7286 remove 6608 ref refl appThm nil 7287 remove 7192 ref cons nil cons cons 7288 remove subst trans appThm nil 7289 remove 3622 ref 7180 remove nil cons cons nil cons cons nil cons cons 7290 remove subst trans appThm 6641 remove assume eqMp eqMp eqMp eqMp nil 119 ref 7173 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 7170 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 7130 remove constTerm 7317 def "x" 7128 remove var 7318 def 68 ref 7164 ref 7318 ref varTerm 7319 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7165 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7156 ref 7151 ref 7164 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7158 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 7317 remove 7318 remove 68 ref 7149 ref 7319 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7150 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7156 remove 7151 remove 7149 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7103 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 7100 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 7060 remove constTerm 7320 def "x" 7058 remove var 7321 def 68 ref 7094 ref 7321 ref varTerm 7322 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7095 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7086 ref 7081 ref 7094 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7088 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 7320 remove 7321 remove 68 ref 7079 ref 7322 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7080 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7086 remove 7081 remove 7079 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7033 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 7030 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 6987 remove constTerm 7323 def "x" 6985 remove var 7324 def 68 ref 7024 ref 7324 ref varTerm 7325 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7025 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7016 ref 7011 ref 7024 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7018 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 7323 remove 7324 remove 68 ref 7009 ref 7325 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7010 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7016 remove 7011 remove 7009 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 6934 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 6930 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 6889 remove constTerm 7326 def "x" 6887 remove var 7327 def 68 ref 6924 ref 7327 ref varTerm 7328 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 6925 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 6916 ref 6910 ref 6924 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 6918 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 7326 remove 7327 remove 68 ref 6908 ref 7328 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 6909 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 6916 remove 6910 remove 6908 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 6862 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 6860 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 6820 remove constTerm 7329 def "x" 6818 remove var 7330 def 68 ref 6856 ref 7330 ref varTerm 7331 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 6857 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 6848 ref 6845 ref 6856 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 6850 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 7329 remove 7330 remove 68 ref 6843 ref 7331 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 6844 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 6848 remove 6845 remove 6843 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 6670 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 6681 remove cons 121 ref 6760 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 6695 remove cons 121 ref 6758 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 6699 remove cons 121 ref 6756 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 6711 remove cons 121 ref 6754 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 6717 ref cons 121 ref 6752 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 6642 remove cons 7332 def 121 ref 6750 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 6244 remove cons 121 ref 6748 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 6601 remove 121 ref 6746 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 1319 ref 6732 ref appTerm nil cons cons 84 ref 6733 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 6732 remove nil cons cons 6394 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 6731 remove nil cons cons 84 ref 6730 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 6729 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 7332 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp 3485 ref 3461 ref 6606 ref nil cons cons 3622 ref 6612 remove cons nil cons cons nil cons cons 360 ref subst proveHyp nil 83 ref 330 ref 3587 remove constTerm 7333 def 6606 remove appTerm nil cons cons 6597 remove cons nil cons cons 144 ref subst proveHyp nil 6611 remove nil cons nil cons cons 3562 ref 68 ref 7333 ref 3462 ref 3609 remove 6613 ref appTerm 7334 def absTerm 7335 def appTerm 7336 def appTerm 7337 def 3464 ref 3565 ref appTerm 7338 def appTerm 7339 def absTerm 7340 def 3565 ref appTerm 7341 def betaConv nil 3588 ref 3462 ref 3588 ref 3562 ref 68 ref 7334 ref appTerm 7338 ref appTerm absTerm 7342 def appTerm 7343 def absTerm 7344 def appTerm 7345 def axiom nil 83 ref 7345 ref nil cons 7346 def cons 7347 def 84 ref 3588 ref 7340 ref appTerm nil cons 7348 def cons nil cons cons nil cons cons 7349 def 144 ref subst proveHyp 7349 ref 100 ref subst 7349 remove 157 ref subst nil 3461 ref 7340 remove nil cons cons 7350 def nil cons nil cons cons 3486 ref subst 3562 ref nil 24 ref 7339 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7336 remove nil cons 7351 def cons 7352 def 84 ref 7338 ref nil cons 7353 def cons nil cons 7354 def cons nil cons cons 7355 def 100 ref subst 7355 remove 157 ref subst nil 7347 ref 7354 ref cons nil cons cons 7356 def 144 ref subst nil 7352 remove 84 ref 68 ref 7345 remove appTerm 7338 remove appTerm 7357 def nil cons 7358 def cons nil cons 7359 def cons nil cons cons 144 ref subst nil 3461 ref 3462 ref 68 ref 7335 ref 3465 ref appTerm 7360 def appTerm 7357 ref appTerm 7361 def absTerm nil cons cons nil cons nil cons cons 3486 ref subst 3462 ref nil 24 ref 7361 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7360 ref nil cons 7362 def cons 7359 ref cons nil cons cons 7363 def 100 ref subst 7363 remove 157 ref subst 7360 ref betaConv 7360 remove assume eqMp nil 83 ref 7334 remove nil cons 7364 def cons 7365 def 7359 remove cons nil cons cons 7366 def 144 ref subst proveHyp 7366 ref 100 ref subst 7366 remove 157 ref subst 7356 ref 100 ref subst 7356 remove 157 ref subst nil 7365 remove 7354 remove cons nil cons cons 144 ref subst 7342 ref 3565 ref appTerm 7367 def betaConv 7344 ref 3465 ref appTerm 7368 def betaConv nil 7347 remove 84 ref 7368 remove nil cons cons nil cons cons nil cons cons 144 ref subst 3485 ref 3461 ref 7344 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 7343 remove nil cons cons 84 ref 7367 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 7342 remove nil cons cons 3625 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 7346 remove cons 7369 def 121 ref 7353 remove cons nil cons 7370 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 7364 remove cons 121 ref 7358 remove cons nil cons 7371 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 7362 remove cons 7371 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 3588 ref 3622 ref 68 ref 7335 ref 3622 ref varTerm 7372 def appTerm appTerm 7357 ref appTerm absTerm appTerm nil cons cons 84 ref 7337 remove 7357 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 7335 remove nil cons cons 7371 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp nil 119 ref 7351 remove cons 7370 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 7369 remove 121 ref 7348 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 83 ref 7348 remove cons 84 ref 7341 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 7350 remove 3625 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp proveHyp proveHyp eqMp nil 119 ref 6240 remove cons 121 ref 3487 remove cons nil cons 7373 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 6596 remove cons 7373 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1319 ref 1315 ref 68 ref 3480 remove 1320 ref appTerm appTerm 3466 remove appTerm absTerm appTerm nil cons cons 6594 remove cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 6592 remove cons 7373 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp absThm eqMp nil 3588 ref 3483 remove appTerm thm nil 280 ref 248 ref 68 ref 459 ref appTerm 253 remove 820 ref 824 ref 1196 ref 178 ref "i" 1 ref var 7374 def 178 ref "j" 1 ref var 7375 def 68 ref 22 ref 7374 ref varTerm 7376 def appTerm 7375 ref varTerm 7377 def appTerm 7378 def appTerm 7379 def 251 ref 1197 ref 7377 ref appTerm 7380 def appTerm 7381 def 1197 ref 7376 ref appTerm appTerm 7382 def appTerm absTerm 7383 def appTerm 7384 def absTerm 7385 def appTerm 7386 def absTerm 7387 def appTerm 7388 def appTerm 7389 def appTerm 7390 def appTerm 7391 def absTerm 7392 def nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 7391 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 459 ref nil cons 7393 def cons 84 ref 7390 remove nil cons 7394 def cons nil cons cons nil cons cons 7395 def 100 ref subst 7395 remove 157 ref subst 123 ref 1394 ref appThm 7389 remove refl appThm sym 932 ref nil 83 ref 837 ref cons 84 ref 7388 ref nil cons cons nil cons cons nil cons cons 975 remove subst nil 1176 ref 1196 ref 68 ref 178 ref 183 ref 1246 ref absTerm 7396 def appTerm 7397 def appTerm 7386 ref appTerm 7398 def absTerm nil cons cons nil cons nil cons cons 1213 ref subst 1196 ref nil 24 ref 7398 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7397 ref nil cons 7399 def cons 7400 def 84 ref 7386 ref nil cons 7401 def cons nil cons 7402 def cons nil cons cons 7403 def 100 ref subst 7403 remove 157 ref subst nil 83 ref 10 ref 178 ref 180 ref 178 ref 181 ref 178 ref 558 ref 68 ref 10 ref 251 ref 1197 ref 184 ref appTerm 7404 def appTerm 7405 def 1197 ref 188 ref appTerm 7406 def appTerm 7407 def appTerm 251 ref 1197 ref 561 ref appTerm 7408 def appTerm 7409 def 7404 ref appTerm 7410 def appTerm 7411 def appTerm 7409 ref 7406 ref appTerm 7412 def appTerm absTerm 7413 def appTerm absTerm 7414 def appTerm absTerm 7415 def appTerm 7416 def appTerm 178 ref 7375 ref 251 ref 1197 ref 197 ref 7377 ref appTerm 7417 def appTerm appTerm 7380 ref appTerm 7418 def absTerm 7419 def appTerm 7420 def appTerm 7421 def nil cons cons 7422 def nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 7421 remove appTerm 7423 def nil cons 7424 def cons 1032 ref cons nil cons cons 7425 def 100 ref subst 7425 remove 157 ref subst nil 83 ref 7416 remove nil cons cons 84 ref 7420 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 1874 ref nil 206 ref 7415 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 180 ref 932 ref 7415 remove 188 ref appTerm betaConv appThm nil 206 ref 7414 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 181 ref 932 ref 7414 remove 184 ref appTerm betaConv appThm nil 206 ref 7413 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 558 ref 932 ref 7413 remove 561 ref appTerm betaConv appThm nil 83 ref 7411 ref nil cons cons 84 ref 7412 ref nil cons cons nil cons cons nil cons cons 1988 ref subst trans absThm appThm trans trans absThm appThm trans trans absThm appThm trans appThm nil 206 ref 7419 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 7375 ref 932 ref 7419 remove 7377 ref appTerm betaConv appThm absThm appThm trans appThm trans 123 ref 1874 ref 1345 ref 7375 ref 180 ref 583 ref 181 ref 583 ref 558 ref 10 ref 7411 remove appTerm 820 ref 7412 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 7426 def 7377 ref appTerm betaConv 7427 def absThm appThm appThm 1345 ref 7375 ref 7375 ref 820 ref 7418 ref appTerm 7428 def absTerm 7429 def 7377 ref appTerm betaConv 7430 def absThm appThm appThm appThm 1345 ref 7375 ref 1874 ref 7427 remove appThm 7430 remove appThm absThm appThm appThm nil 287 ref 7426 remove nil cons cons 1996 ref 7429 remove nil cons cons nil cons cons nil cons cons 2681 remove subst eqMp 1345 ref 7375 ref 123 ref 1874 ref 1345 ref 181 ref 181 ref 583 ref 558 ref 10 ref 10 ref 7405 ref 7380 ref appTerm 7431 def appTerm 7410 ref appTerm 7432 def appTerm 820 ref 7409 remove 7380 ref appTerm 7433 def appTerm 7434 def appTerm 7435 def absTerm 7436 def appTerm absTerm 7437 def 184 ref appTerm betaConv 7438 def absThm appThm appThm 7428 ref refl 7439 def appThm appThm 1345 ref 181 ref 1874 ref 7438 remove appThm 7439 ref appThm absThm appThm appThm nil 287 ref 7437 remove nil cons cons 84 ref 7428 ref nil cons 7440 def cons nil cons 7441 def cons nil cons cons 2028 ref subst eqMp 1345 ref 181 ref 123 ref 1874 ref 1345 ref 558 ref 7436 ref 561 ref appTerm betaConv 7442 def absThm appThm appThm 7439 ref appThm appThm 1345 ref 558 ref 1874 ref 7442 remove appThm 7439 remove appThm absThm appThm appThm nil 287 ref 7436 remove nil cons cons 7441 remove cons nil cons cons 2028 ref subst eqMp absThm appThm trans absThm appThm trans trans 7423 remove assume eqMp nil 83 ref 583 ref 7375 ref 583 ref 181 ref 583 ref 558 ref 901 ref 7435 ref appTerm 7428 ref appTerm 7443 def absTerm 7444 def appTerm 7445 def absTerm 7446 def appTerm 7447 def absTerm 7448 def appTerm 7449 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 7375 ref 68 ref 7448 ref 7377 ref appTerm 7450 def appTerm 841 ref appTerm 7451 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 7375 ref nil 24 ref 7451 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7450 ref nil cons 7452 def cons 1032 ref cons nil cons cons 7453 def 100 ref subst 7453 remove 157 ref subst 7450 ref betaConv 7450 remove assume eqMp nil 83 ref 7447 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 181 ref 68 ref 7446 ref 184 ref appTerm 7454 def appTerm 841 ref appTerm 7455 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 181 ref nil 24 ref 7455 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7454 ref nil cons 7456 def cons 1032 ref cons nil cons cons 7457 def 100 ref subst 7457 remove 157 ref subst 7454 ref betaConv 7454 remove assume eqMp nil 83 ref 7445 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 558 ref 68 ref 7444 ref 561 ref appTerm 7458 def appTerm 841 ref appTerm 7459 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 558 ref nil 24 ref 7459 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7458 ref nil cons 7460 def cons 1032 ref cons nil cons cons 7461 def 100 ref subst 7461 remove 157 ref subst 7458 ref betaConv 7458 remove assume eqMp nil 83 ref 7443 remove nil cons 7462 def cons 1032 ref cons nil cons cons 7463 def 144 ref subst proveHyp 7463 ref 100 ref subst 7463 remove 157 ref subst nil 83 ref 7440 ref cons 1032 ref cons nil cons cons 7464 def 100 ref subst 7464 remove 157 ref subst nil "_13403" 1 ref var 7465 def 7377 ref nil cons 7466 def cons nil cons nil cons cons 7396 ref 7465 remove varTerm 7467 def appTerm 7468 def betaConv nil 7400 ref 84 ref 7468 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 7396 remove nil cons cons 180 ref 7467 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst nil 83 ref 7418 remove nil cons cons 7469 def 1032 ref cons nil cons cons 144 ref subst proveHyp nil 7469 remove nil cons nil cons cons 2222 ref subst 7428 remove assume eqMp eqMp eqMp nil 119 ref 7440 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 7435 remove nil cons 7470 def cons 1032 ref cons nil cons cons 7471 def 100 ref subst 7471 remove 157 ref subst nil 119 ref 7432 remove nil cons cons 121 ref 7434 remove nil cons cons nil cons cons nil cons cons 7472 def 135 ref subst 7473 def nil 119 ref 7431 ref nil cons 7474 def cons 121 ref 7410 ref nil cons 7475 def cons nil cons cons nil cons cons 7476 def 581 ref subst proveHyp nil 83 ref 7475 remove cons 84 ref 7474 remove cons nil cons cons nil cons cons 157 ref subst proveHyp 7473 remove 7476 remove 135 ref subst proveHyp eqMp nil 83 ref 10 ref 7410 remove appTerm 7431 remove appTerm nil cons cons 84 ref 7433 remove nil cons 7477 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_13398" 45 ref var 7478 def 7380 ref nil cons cons "_13397" 45 ref var 7479 def 7404 ref nil cons 7480 def cons "_13396" 45 ref var 7481 def 7408 remove nil cons cons nil cons cons cons nil cons cons nil 836 ref 901 ref 820 ref 251 ref 7481 remove varTerm 7482 def appTerm 7483 def 7479 remove varTerm 7484 def appTerm 7485 def appTerm 7486 def appTerm 7487 def 820 ref 251 ref 7484 ref appTerm 7488 def 7478 remove varTerm 7489 def appTerm 7490 def appTerm 7491 def appTerm nil cons cons 838 ref 7483 ref 7489 ref appTerm 7492 def nil cons 7493 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 7491 remove nil cons 7494 def cons 838 ref 7486 remove nil cons 7495 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 7485 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm nil 838 ref 7490 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm trans appThm 7492 remove refl appThm trans 7487 ref refl nil 84 ref 7493 ref cons 7496 def 83 ref 7494 ref cons nil cons cons nil cons cons 2097 ref subst appThm nil 917 ref 7494 ref cons 7496 remove 83 ref 7495 ref cons nil cons cons cons nil cons cons 2174 ref subst trans nil 984 ref 7495 remove cons 983 ref 7494 remove cons 2148 ref 7493 remove cons nil cons cons cons nil cons cons 3414 ref subst 452 ref 901 ref 7487 remove 820 ref 7488 remove 455 ref appTerm appTerm appTerm appTerm 7483 ref 455 ref appTerm 7497 def appTerm absTerm 7498 def 7489 ref appTerm 7499 def betaConv 255 ref 63 ref 452 ref 901 ref 901 ref 820 ref 7483 remove 256 ref appTerm appTerm appTerm 820 ref 456 ref appTerm 7500 def appTerm appTerm 7497 remove appTerm absTerm appTerm absTerm 7501 def 7484 ref appTerm 7502 def betaConv 64 ref 63 ref 255 ref 63 ref 452 ref 901 ref 901 ref 820 ref 454 ref appTerm appTerm 7500 remove appTerm appTerm 458 ref appTerm absTerm appTerm absTerm appTerm absTerm 7503 def 7482 ref appTerm 7504 def betaConv 1078 ref 64 ref 1078 ref 255 ref 1078 ref 452 ref nil 83 ref 457 remove nil cons cons 84 ref 458 ref nil cons cons nil cons cons nil cons cons 1910 ref subst 1874 ref nil 83 ref 454 remove nil cons cons 84 ref 456 remove nil cons cons nil cons cons nil cons cons 1941 ref subst appThm 458 remove refl appThm trans absThm appThm absThm appThm absThm appThm 459 ref assume eqMp nil 83 ref 63 ref 7503 ref appTerm nil cons cons 84 ref 7504 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 7503 remove nil cons cons 64 ref 7482 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 7501 ref appTerm nil cons cons 84 ref 7502 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 7501 remove nil cons cons 64 ref 7484 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 7498 ref appTerm nil cons cons 84 ref 7499 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 7498 remove nil cons cons 64 ref 7489 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 7477 remove cons 7505 def 1032 ref cons nil cons cons 144 ref subst proveHyp nil 7505 remove nil cons nil cons cons 2222 ref subst 7472 remove 581 ref subst eqMp eqMp eqMp nil 119 ref 7470 remove cons 7506 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 7506 remove 121 ref 7440 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp eqMp nil 119 ref 7462 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 7460 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 7444 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7445 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 7444 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7456 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 7446 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7447 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 7446 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7452 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 7448 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7449 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 7448 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7424 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 7422 remove 7402 remove cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 179 ref 180 ref 179 ref 181 ref 179 ref 558 ref 182 ref 23 ref 7374 ref 7375 ref 7382 ref absTerm 7507 def absTerm 7508 def 188 ref appTerm betaConv 7509 def 6398 remove appThm 7375 ref 7381 ref 7406 ref appTerm absTerm 7510 def 184 ref appTerm betaConv trans appThm 7508 ref 184 ref appTerm betaConv 3787 ref appThm 7375 ref 7381 remove 7404 ref appTerm absTerm 561 ref appTerm betaConv trans appThm appThm 7509 remove 3787 ref appThm 7510 remove 561 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm appThm 179 ref 7375 ref 7508 ref 7377 ref appTerm betaConv 7417 ref refl appThm "j'" 1 ref var 7511 def 251 ref 1197 ref 7511 remove varTerm appTerm appTerm 7380 remove appTerm absTerm 7417 remove appTerm betaConv trans absThm appThm appThm appThm 179 ref 7374 ref 179 ref 7375 ref 7379 ref refl 7508 ref 7376 ref appTerm betaConv 7377 ref refl appThm 7507 remove 7377 ref appTerm betaConv trans appThm absThm appThm absThm appThm appThm nil "R" 6 ref var 7512 def 7508 remove nil cons cons nil cons nil cons cons nil 83 ref 10 ref 178 ref 180 ref 178 ref 181 ref 178 ref 558 ref 68 ref 10 ref 7512 remove varTerm 7513 def 188 ref appTerm 7514 def 184 ref appTerm 7515 def appTerm 7513 ref 184 ref appTerm 561 ref appTerm appTerm appTerm 7514 ref 561 ref appTerm appTerm 7516 def absTerm 7517 def appTerm 7518 def absTerm 7519 def appTerm 7520 def absTerm 7521 def appTerm 7522 def appTerm 178 ref 183 ref 7513 ref 194 ref appTerm 235 ref appTerm absTerm 7523 def appTerm 7524 def appTerm nil cons 7525 def cons 84 ref 178 ref 187 ref 178 ref 183 ref 290 ref 7513 ref 193 ref appTerm 194 ref appTerm 7526 def appTerm 7527 def absTerm 7528 def appTerm 7529 def absTerm 7530 def appTerm nil cons 7531 def cons nil cons cons nil cons cons 7532 def 100 ref subst 7532 remove 157 ref subst nil 119 ref 7522 remove nil cons 7533 def cons 121 ref 7524 remove nil cons 7534 def cons nil cons cons nil cons cons 7535 def 135 ref subst 7535 remove 581 ref subst nil 206 ref 7530 remove nil cons cons nil cons nil cons cons 223 ref subst 187 ref nil 24 ref 7529 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 7528 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 7527 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1965 ref 84 ref 7526 ref nil cons 7536 def cons nil cons 7537 def cons nil cons cons 7538 def 100 ref subst 7538 ref 157 ref subst 547 remove 7513 ref appTerm 7539 def betaConv 699 remove nil 83 ref 819 remove nil cons cons 84 ref 7539 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 327 remove 548 remove 329 remove 7513 ref nil cons 7540 def cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 10 ref 16 remove 7513 ref appTerm appTerm 469 remove 7513 ref appTerm appTerm appTerm 487 remove 7513 remove appTerm appTerm nil cons cons 7537 ref cons nil cons cons 144 ref subst proveHyp 182 ref 182 ref 23 ref nil 7 remove 7540 ref cons 7541 def 37 remove cons nil cons cons 176 ref subst 179 ref 180 ref 179 ref 181 ref 212 remove 7515 ref refl appThm absThm appThm absThm appThm trans appThm nil 36 ref 7540 remove cons nil cons nil cons cons 463 remove subst 179 ref 180 ref 179 ref 181 ref 179 ref 558 ref nil 24 ref 7516 remove nil cons cons nil cons nil cons cons 33 ref subst 7517 ref 561 ref appTerm 7542 def betaConv 7519 ref 184 ref appTerm 7543 def betaConv 7521 ref 188 ref appTerm 7544 def betaConv nil 83 ref 7533 remove cons 84 ref 7544 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 7521 remove nil cons cons 642 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 7520 remove nil cons cons 84 ref 7543 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 7519 remove nil cons cons 643 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 7518 remove nil cons cons 84 ref 7542 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 7517 remove nil cons cons 684 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp absThm appThm 3546 ref trans absThm appThm 3546 ref trans absThm appThm 3546 ref trans trans appThm nil 24 ref 178 ref 180 ref 178 ref 181 ref 217 remove 7515 ref appTerm 7545 def absTerm 7546 def appTerm 7547 def absTerm 7548 def appTerm 7549 def nil cons 7550 def cons nil cons nil cons cons 1285 ref subst trans appThm nil 7541 remove 244 remove cons nil cons cons 176 remove subst appThm appThm 7526 ref refl appThm sym nil 206 ref 7548 remove nil cons cons nil cons nil cons cons 223 ref subst 180 ref nil 24 ref 7547 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 7546 remove nil cons cons nil cons nil cons cons 223 ref subst 181 ref nil 24 ref 7545 remove nil cons cons nil cons nil cons cons 33 ref subst nil 225 remove 84 ref 7515 ref nil cons 7551 def cons nil cons cons nil cons cons 7552 def 100 ref subst 7552 remove 157 ref subst 27 ref "_13359" 1 ref var 7553 def 7514 ref 7553 remove varTerm appTerm absTerm 7554 def 184 ref appTerm 7555 def appTerm refl 7554 ref 215 ref appTerm betaConv appThm 123 ref 7555 remove betaConv appThm 7514 remove 215 ref appTerm refl appThm trans 7554 remove refl 231 remove appThm eqMp sym 233 ref 7523 ref 194 ref appTerm 7556 def betaConv nil 83 ref 7534 remove cons 84 ref 7556 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 7523 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp eqMp nil 241 remove 121 ref 7551 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 83 ref 7550 remove cons 7557 def 84 ref 68 ref 178 ref 180 ref 178 ref 181 ref 571 remove 7515 remove appTerm absTerm 7558 def appTerm 7559 def absTerm 7560 def appTerm 7561 def appTerm 7526 ref appTerm 7562 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 83 ref 7561 ref nil cons 7563 def cons 7564 def 7537 remove cons nil cons cons 7565 def 100 ref subst 7565 remove 157 ref subst 7538 remove 144 ref subst nil 181 ref 209 ref cons 208 ref cons nil cons cons 7558 ref 184 ref appTerm 7566 def betaConv 7560 ref 188 ref appTerm 7567 def betaConv nil 7564 remove 84 ref 7567 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 7560 remove nil cons cons 642 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 7559 remove nil cons cons 84 ref 7566 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 7558 remove nil cons cons 643 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp eqMp nil 119 ref 7563 ref cons 121 ref 7536 ref cons nil cons 7568 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 83 ref 10 ref 7549 ref appTerm 7562 remove appTerm nil cons cons 84 ref 68 ref 68 ref 7549 remove appTerm 7561 remove appTerm appTerm 7526 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 917 ref 7536 remove cons 84 ref 7563 remove cons 7557 remove nil cons cons cons nil cons cons nil 83 ref 90 remove 925 remove appTerm nil cons 7569 def cons 84 ref 1732 remove 918 remove appTerm nil cons 7570 def cons nil cons cons nil cons cons 7571 def 100 ref subst 7571 remove 157 ref subst nil 964 remove 4324 remove cons nil cons cons 7572 def 100 ref subst 7572 remove 157 ref subst nil 120 remove 121 ref 4321 remove cons nil cons cons nil cons cons 7573 def 135 ref subst 144 ref proveHyp 137 remove eqMp 4326 remove proveHyp 7573 remove 581 ref subst eqMp eqMp nil 972 remove 4327 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 7569 remove cons 121 ref 7570 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp 7574 def subst eqMp eqMp eqMp eqMp nil 3525 remove 7568 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 119 ref 7525 remove cons 121 ref 7531 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp subst eqMp eqMp 7575 def eqMp nil 119 ref 7399 ref cons 7576 def 121 ref 7401 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1319 ref 825 ref 68 ref 831 remove appTerm 178 ref 7374 ref 178 ref 7375 ref 7379 remove 251 ref 826 ref 7377 ref appTerm appTerm 826 ref 7376 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm appTerm nil cons cons 84 ref 1325 ref 7388 ref appTerm nil cons 7577 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 3492 ref 825 ref 182 ref 1332 ref appThm 7387 ref 826 remove appTerm betaConv 7578 def appThm absThm appThm appThm 182 ref 1138 ref 825 ref 1332 remove absThm appThm 7579 def appThm 1138 ref 825 ref 7578 remove absThm appThm 7580 def appThm appThm nil 6590 ref 1313 ref cons 6591 ref 7387 ref nil cons 7581 def cons nil cons cons nil cons cons 6593 ref subst eqMp eqMp nil 83 ref 7577 remove cons 84 ref 68 ref 7388 remove appTerm 833 remove appTerm nil cons cons nil cons 7582 def cons nil cons cons 157 ref subst proveHyp nil 1176 ref 1196 ref 68 ref 7386 ref appTerm 7583 def 7397 ref appTerm 7584 def absTerm 7585 def nil cons cons nil cons nil cons cons 1213 ref subst 1196 ref nil 83 ref 7401 ref cons 7586 def 84 ref 27 ref 7397 remove appTerm 7587 def 30 ref appTerm 7588 def nil cons 7589 def cons nil cons cons nil cons cons 7590 def 100 ref subst 7590 remove 157 ref subst 179 ref 183 ref 240 remove nil 83 ref 236 remove nil cons cons 84 ref 27 ref 1246 remove appTerm 30 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 7374 ref 209 ref cons 7375 remove 1276 remove cons nil cons cons nil cons cons nil 83 ref 7378 remove nil cons 7591 def cons 7592 def 84 ref 27 ref 7382 ref appTerm 30 ref appTerm nil cons 7593 def cons nil cons cons nil cons cons 7594 def 100 ref subst 7594 remove 157 ref subst nil 24 ref 7382 remove nil cons 7595 def cons nil cons nil cons cons 33 ref subst nil 7592 remove 84 ref 7595 remove cons nil cons cons nil cons cons 144 ref subst 7383 ref 7377 remove appTerm 7596 def betaConv 7385 ref 7376 ref appTerm 7597 def betaConv nil 7586 ref 84 ref 7597 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 7385 remove nil cons cons 180 ref 7376 ref nil cons cons nil cons 7598 def cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 7384 remove nil cons cons 84 ref 7596 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 7383 remove nil cons cons 180 ref 7466 remove cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp nil 119 ref 7591 remove cons 121 ref 7593 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp subst eqMp absThm appThm 3546 ref trans eqMp nil 119 ref 7401 ref cons 121 ref 7589 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 7583 ref 7588 remove appTerm nil cons cons 84 ref 27 ref 7584 remove appTerm 7599 def 7583 ref 30 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3538 ref 7386 ref refl nil 83 ref 27 ref 7386 ref appTerm 7600 def 7386 remove appTerm nil cons cons 84 ref 68 ref 7583 ref 7587 remove 1660 ref appTerm 7601 def appTerm appTerm 7599 ref 7583 remove 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 7401 ref cons nil cons nil cons cons 1657 ref 68 ref 7600 remove 1663 ref appTerm appTerm 68 ref 1664 ref 7601 remove appTerm appTerm 7599 remove 1665 ref appTerm appTerm appTerm absTerm 7602 def 1660 ref appTerm 7603 def betaConv 1662 ref 311 ref 7602 ref appTerm 7604 def absTerm 7605 def 1663 ref appTerm 7606 def betaConv nil 84 ref 7399 remove cons 7586 remove nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 7605 ref appTerm nil cons cons 84 ref 7606 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 7605 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 7604 remove nil cons cons 84 ref 7603 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 7602 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp nil 24 ref 7401 remove cons nil cons nil cons cons 1753 ref subst trans absThm eqMp nil 83 ref 1319 ref 7585 remove appTerm nil cons cons 7582 remove cons nil cons cons 144 ref subst proveHyp 182 ref 3492 ref 1196 ref 182 ref 7387 remove 1197 ref appTerm betaConv appThm 1221 ref appThm absThm appThm appThm 182 ref 7580 remove appThm 7579 remove appThm appThm nil 6590 ref 7581 remove cons 6591 ref 1313 remove cons nil cons cons nil cons cons 6593 ref subst eqMp eqMp eqMp eqMp appThm eqMp eqMp nil 119 ref 7393 remove cons 7607 def 121 ref 7394 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 275 ref 7392 remove appTerm thm nil 280 ref 248 ref 446 ref 3972 ref 3903 ref 68 ref 3917 remove appTerm 7608 def 3924 remove appTerm 7609 def absTerm 7610 def appTerm 7611 def appTerm 7612 def absTerm 7613 def nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 7612 remove nil cons cons nil cons nil cons cons 33 ref subst nil 3811 ref 84 ref 7611 remove nil cons 7614 def cons nil cons cons nil cons cons 7615 def 100 ref subst 7615 ref 157 ref subst nil 3989 ref 7610 remove nil cons cons nil cons nil cons cons 3995 ref subst 3903 ref nil 24 ref 7609 remove nil cons cons nil cons nil cons cons 33 ref subst 5801 remove eqMp absThm eqMp eqMp nil 6195 ref 121 ref 7614 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp 7616 def nil 275 ref 7613 remove appTerm 7617 def thm nil 83 ref 275 ref 248 ref 446 ref 3972 ref 3903 ref 7608 ref 1153 remove 748 remove constTerm 3923 ref appTerm 7618 def appTerm absTerm 7619 def appTerm 7620 def appTerm absTerm 7621 def appTerm 7622 def nil cons cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 7622 ref appTerm 7623 def nil cons 7624 def cons 7625 def 1032 ref cons nil cons cons 7626 def 100 ref subst 7626 remove 157 ref subst 7616 remove nil 83 ref 7617 ref nil cons 7627 def cons 1032 ref cons nil cons cons 7628 def 144 ref subst proveHyp 3982 ref 248 ref 3983 remove 3972 ref 3903 ref 7608 remove 749 ref 734 ref 749 ref 729 ref 68 ref 10 ref 3922 ref appTerm 7629 def 63 ref 64 ref 739 ref 742 remove appTerm 3909 ref appTerm 7630 def absTerm 7631 def appTerm 7632 def appTerm 7633 def appTerm 737 ref appTerm 7634 def absTerm 7635 def appTerm 7636 def absTerm 7637 def appTerm 7638 def appTerm 7639 def absTerm 7640 def appTerm 7641 def refl appThm absThm appThm sym nil 280 ref 248 ref 3984 remove 7641 ref appTerm 7642 def absTerm nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 7642 remove nil cons cons nil cons nil cons cons 33 ref subst nil 3987 remove 84 ref 7641 ref nil cons 7643 def cons nil cons 7644 def cons nil cons cons 7645 def 100 ref subst 7645 remove 157 ref subst nil 3989 ref 7640 remove nil cons cons nil cons nil cons cons 3995 ref subst 3903 ref nil 24 ref 7639 remove nil cons cons nil cons nil cons cons 33 ref subst nil 3919 ref 84 ref 7638 remove nil cons 7646 def cons nil cons cons nil cons cons 7647 def 100 ref subst 7647 ref 157 ref subst nil 773 ref 7637 remove nil cons cons nil cons nil cons cons 1412 ref subst 734 ref nil 24 ref 7636 remove nil cons cons nil cons nil cons cons 33 ref subst nil 773 ref 7635 remove nil cons cons nil cons nil cons cons 1412 ref subst 729 ref nil 24 ref 7634 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7633 remove nil cons 7648 def cons 84 ref 756 ref cons nil cons 7649 def cons nil cons cons 7650 def 100 ref subst 7650 ref 157 ref subst nil 119 ref 3922 ref nil cons 7651 def cons 121 ref 7632 remove nil cons 7652 def cons nil cons cons nil cons cons 7653 def 135 ref subst 7653 remove 581 ref subst 779 remove sym nil 150 ref 64 ref 68 ref 63 ref 255 ref 259 remove 739 ref 4412 remove appTerm 736 ref 256 ref appTerm appTerm appTerm absTerm appTerm 7654 def appTerm 743 ref appTerm 7655 def absTerm 7656 def nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 7655 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7654 remove nil cons 7657 def cons 7658 def 84 ref 743 remove nil cons 7659 def cons nil cons 7660 def cons nil cons cons 7661 def 100 ref subst 7661 remove 157 ref subst nil 7658 remove 84 ref 3947 ref cons nil cons 7662 def cons nil cons cons 144 ref subst 3958 remove eqMp nil 83 ref 3947 remove cons 7660 remove cons nil cons cons 144 ref subst proveHyp 68 ref 3910 ref appTerm refl 1550 ref 5490 remove nil 83 ref 7651 ref cons 7663 def 84 ref 5489 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 5488 remove 357 ref cons nil cons cons 173 ref subst eqMp eqMp appThm 7631 ref 69 ref appTerm 7664 def betaConv 7665 def nil 83 ref 7652 ref cons 84 ref 7664 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 7631 remove nil cons cons 7666 def 357 ref cons nil cons cons 173 ref subst eqMp eqMp appThm appThm 3948 remove 1093 ref subst trans sym 32 ref eqMp eqMp eqMp nil 119 ref 7657 remove cons 121 ref 7659 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 63 ref 7656 remove appTerm nil cons cons 84 ref 755 remove cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 1078 ref 64 ref 182 ref 1078 ref 255 ref 1344 remove 744 ref 256 ref appTerm betaConv appThm absThm appThm appThm 744 ref 69 ref appTerm betaConv 7667 def appThm absThm appThm appThm 1078 ref 64 ref 7667 remove absThm appThm appThm nil 161 ref 744 remove nil cons cons nil cons nil cons cons 5481 remove subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 119 ref 7648 remove cons 121 ref 756 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 5800 remove 121 ref 7646 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 5778 remove 121 ref 7643 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 7668 def nil 83 ref 275 ref 248 ref 446 ref 7641 remove appTerm absTerm appTerm 7669 def nil cons 7670 def cons 7671 def 84 ref 68 ref 7617 ref appTerm 841 ref appTerm 7672 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 7625 ref 84 ref 68 ref 7669 ref appTerm 7673 def 7672 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst 68 ref 7623 ref appTerm refl 7673 ref refl nil 24 ref 7627 ref cons nil cons nil cons cons 1386 ref subst 7674 def appThm appThm sym nil 7625 remove 84 ref 7673 remove 820 ref 7617 ref appTerm 7675 def appTerm nil cons 7676 def cons nil cons cons nil cons cons 7677 def 100 ref subst 7677 remove 157 ref subst nil 7671 remove 84 ref 7675 remove nil cons 7678 def cons nil cons cons nil cons cons 7679 def 100 ref subst 7679 remove 157 ref subst 7674 remove 7628 ref 100 ref subst 7628 remove 157 ref subst 3982 ref 248 ref 7615 remove 1910 ref subst 1874 ref 820 ref 252 ref appTerm 7680 def refl appThm 7681 def 3972 ref refl 7682 def 3903 ref 3927 remove 1910 ref subst 1874 ref nil 3955 remove nil cons nil cons cons 4763 ref subst 3900 ref 734 ref 932 ref 3954 remove appThm nil 3956 remove nil cons nil cons cons 4763 remove subst 3900 ref 729 ref 932 ref 3952 remove appThm nil 3957 remove nil cons nil cons cons 1962 ref subst 1022 ref 64 ref 932 ref 3950 remove appThm nil 3880 remove 7662 ref cons nil cons cons 7683 def 1988 ref subst 23 ref 1078 ref 452 ref 5959 remove 1910 ref subst absThm appThm appThm 820 ref 3910 ref appTerm 7684 def refl appThm trans trans absThm appThm trans trans absThm appThm trans trans absThm appThm trans appThm 7685 def 3900 ref 734 ref 1078 ref 64 ref 3920 remove refl absThm appThm 7686 def absThm appThm appThm trans absThm appThm appThm trans absThm appThm 3982 ref 248 ref 7681 ref 7682 ref 3903 ref 123 ref 1874 ref 3900 ref 734 ref 734 ref 1117 ref 729 ref 331 ref 64 ref 10 ref 63 ref 452 ref 4541 ref 3822 remove appTerm absTerm appTerm appTerm 7684 remove appTerm 7687 def absTerm 7688 def appTerm absTerm 7689 def appTerm absTerm 7690 def 735 ref appTerm betaConv 7691 def absThm appThm appThm 7692 def 3900 ref 734 ref 5487 ref absThm appThm appThm appThm 3900 ref 734 ref 1874 ref 7691 remove appThm 7693 def 5487 ref appThm absThm appThm appThm nil 4188 ref 7690 ref nil cons cons 7694 def 4190 ref 5485 remove cons nil cons cons nil cons cons 1411 ref 2680 ref subst subst eqMp 3900 ref 734 ref 123 ref 1874 ref 3900 ref 729 ref 7689 ref 736 ref appTerm betaConv 7695 def absThm appThm appThm 7696 def 7686 ref appThm appThm 3900 ref 729 ref 1874 ref 7695 remove appThm 7697 def 7686 ref appThm absThm appThm appThm nil 4188 remove 7689 remove nil cons cons 7698 def 84 ref 7651 remove cons nil cons 7699 def cons nil cons cons 4774 ref subst eqMp 3900 ref 729 ref 123 ref 1874 ref 1022 ref 64 ref 7688 ref 69 ref appTerm betaConv 7700 def absThm appThm appThm 7701 def 7686 ref appThm appThm 1022 ref 64 ref 1874 ref 7700 remove appThm 7702 def 7686 remove appThm absThm appThm appThm nil 161 ref 7688 remove nil cons cons 7703 def 7699 remove cons nil cons cons 2027 ref subst eqMp absThm appThm trans absThm appThm trans absThm appThm 123 ref 7682 ref 3903 ref 3900 ref 734 ref 3903 ref 734 ref 1117 ref 729 ref 331 ref 64 ref 901 ref 7687 ref appTerm 7704 def 3922 remove appTerm absTerm appTerm absTerm appTerm absTerm 7705 def absTerm 7706 def 3904 ref appTerm betaConv 7707 def 4779 ref appThm 7705 ref 735 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 3902 ref 770 remove cons opType 7708 def 3 ref cons opType 7709 def 3 ref cons opType constTerm 7710 def refl 7711 def "f" 7708 ref var 7712 def 7682 ref 3903 ref 7707 remove 7712 ref varTerm 7713 def 3904 ref appTerm 7714 def refl 7715 def appThm 7705 remove 7714 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 3902 ref 731 remove cons opType var 7716 def 7706 remove nil cons cons nil cons nil cons cons 4787 remove 3993 ref cons 43 ref cons 1121 ref subst 7717 def subst eqMp 7711 ref 7712 ref 123 ref 7682 ref 3903 ref 3900 ref 729 ref 3903 ref 729 ref 331 ref 64 ref 901 ref 10 ref 63 ref 452 ref 4541 ref 739 ref 7714 ref 455 ref appTerm appTerm 7718 def 3821 remove appTerm appTerm absTerm appTerm appTerm 820 ref 739 ref 3904 ref 7714 ref appTerm 7719 def 69 ref appTerm 7720 def appTerm 7721 def 3909 remove appTerm appTerm appTerm appTerm 7722 def 63 ref 64 ref 739 ref 7714 ref 69 ref appTerm appTerm 7720 remove appTerm absTerm appTerm 7723 def appTerm absTerm appTerm absTerm 7724 def absTerm 7725 def 3904 ref appTerm betaConv 7726 def 5150 ref appThm 7724 ref 736 ref appTerm betaConv trans absThm appThm absThm appThm appThm 7711 ref "f'" 7708 ref var 7727 def 7682 ref 3903 ref 7726 remove 7727 ref varTerm 7728 def 3904 ref appTerm 7729 def refl 7730 def appThm 7724 remove 7729 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 7716 ref 7725 remove nil cons cons nil cons nil cons cons 7717 ref subst eqMp 7711 ref 7727 ref 123 ref 7682 ref 3903 ref 1022 ref 64 ref 3903 ref 64 ref 901 ref 10 ref 63 ref 452 ref 4541 ref 7718 remove 7729 ref 455 ref appTerm 7731 def appTerm 7732 def appTerm absTerm appTerm appTerm 820 ref 7721 remove 3904 ref 7729 ref appTerm 7733 def 69 ref appTerm appTerm appTerm appTerm appTerm 7734 def 7723 ref appTerm absTerm 7735 def absTerm 7736 def 3904 ref appTerm betaConv 7737 def 172 ref appThm 7735 ref 69 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 3902 ref 353 ref cons opType 7738 def 3 ref cons opType 7739 def 3 ref cons opType constTerm 7740 def refl 7741 def "f" 7738 ref var 7742 def 7682 ref 3903 ref 7737 remove 7742 ref varTerm 7743 def 3904 ref appTerm 7744 def refl 7745 def appThm 7735 remove 7744 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 3902 ref 246 ref cons opType var 7746 def 7736 remove nil cons cons nil cons nil cons cons 1115 ref 3993 ref cons 43 ref cons 1121 ref subst 7747 def subst eqMp absThm appThm trans absThm appThm trans trans appThm 123 ref 7681 ref 7711 ref 7712 ref 7712 ref 7710 ref 7727 ref 7740 ref 7742 ref 3972 ref 3903 ref 901 ref 10 ref 63 ref 452 ref 901 ref 820 ref 3816 ref 7744 ref appTerm appTerm appTerm 7748 def 7732 remove appTerm absTerm appTerm appTerm 820 ref 739 ref 7719 remove 7744 ref appTerm appTerm 7733 remove 7744 ref appTerm 7749 def appTerm appTerm appTerm appTerm 7750 def 7723 remove appTerm absTerm appTerm 7751 def absTerm 7752 def appTerm absTerm 7753 def appTerm absTerm 7754 def 7713 ref appTerm betaConv 7755 def absThm appThm appThm appThm 7711 ref 7712 ref 7681 ref 7755 remove appThm absThm appThm appThm nil "q" 7709 ref var 7756 def 7754 remove nil cons cons 83 ref 7680 ref nil cons cons nil cons 7757 def cons nil cons cons "A" 7708 ref nil cons 7758 def cons nil cons 43 ref cons 2006 ref subst 7759 def subst eqMp 7711 ref 7712 ref 123 ref 7681 ref 7711 ref 7727 ref 7753 ref 7728 ref appTerm betaConv 7760 def absThm appThm appThm appThm 7711 ref 7727 ref 7681 ref 7760 remove appThm absThm appThm appThm nil 7756 ref 7753 remove nil cons cons 7757 ref cons nil cons cons 7759 ref subst eqMp 7711 ref 7727 ref 123 ref 7681 ref 7741 ref 7742 ref 7752 ref 7743 ref appTerm betaConv 7761 def absThm appThm appThm appThm 7741 ref 7742 ref 7681 ref 7761 remove appThm absThm appThm appThm nil "q" 7739 ref var 7762 def 7752 remove nil cons cons 7757 ref cons nil cons cons "A" 7738 ref nil cons 7763 def cons nil cons 43 ref cons 2006 ref subst 7764 def subst eqMp absThm appThm trans absThm appThm trans trans absThm appThm 123 ref 3982 ref 248 ref 7711 ref 7712 ref 248 ref 7712 ref 7710 ref 7727 ref 7740 ref 7742 ref 901 ref 7680 remove appTerm 7765 def 7751 remove appTerm absTerm appTerm absTerm appTerm absTerm 7766 def absTerm 7767 def 251 ref appTerm betaConv 7768 def 7713 ref refl 7769 def appThm 7766 ref 7713 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 247 ref 7758 ref cons opType 7770 def 3 ref cons opType 7771 def 3 ref cons opType 7772 def constTerm 7773 def refl 7774 def "f" 7770 ref var 7775 def 3982 ref 248 ref 7768 remove 7775 ref varTerm 7776 def 251 ref appTerm 7777 def refl 7778 def appThm 7766 remove 7777 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 247 ref 7709 remove nil cons cons opType var 7779 def 7767 remove nil cons cons nil cons nil cons cons "B" 7758 ref cons 7780 def 279 ref cons 43 ref cons 1121 ref subst 7781 def subst eqMp 7774 ref 7775 ref 123 ref 3982 ref 248 ref 7711 ref 7727 ref 248 ref 7727 ref 7740 ref 7742 ref 7765 ref 3972 ref 3903 ref 901 ref 10 ref 63 ref 452 ref 7748 ref 739 ref 7777 ref 3904 ref appTerm 7782 def 455 ref appTerm appTerm 7783 def 7731 remove appTerm appTerm absTerm appTerm appTerm 820 ref 739 ref 3904 ref 7782 ref appTerm 7784 def 7744 ref appTerm appTerm 7785 def 7749 remove appTerm appTerm appTerm appTerm 7786 def 63 ref 64 ref 739 ref 7782 remove 69 ref appTerm appTerm 7784 ref 69 ref appTerm appTerm absTerm appTerm 7787 def appTerm absTerm appTerm appTerm absTerm appTerm absTerm 7788 def absTerm 7789 def 251 ref appTerm betaConv 7790 def 7728 ref refl 7791 def appThm 7788 ref 7728 ref appTerm betaConv trans absThm appThm absThm appThm appThm 7774 ref "f'" 7770 ref var 7792 def 3982 ref 248 ref 7790 remove 7792 ref varTerm 7793 def 251 ref appTerm 7794 def refl 7795 def appThm 7788 remove 7794 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 7779 ref 7789 remove nil cons cons nil cons nil cons cons 7781 ref subst eqMp 7774 ref 7792 ref 123 ref 3982 ref 248 ref 7741 ref 7742 ref 248 ref 7742 ref 7765 ref 3972 ref 3903 ref 901 ref 10 ref 63 ref 452 ref 7748 remove 7783 remove 7794 ref 3904 ref appTerm 7796 def 455 ref appTerm 7797 def appTerm 7798 def appTerm absTerm appTerm appTerm 820 ref 7785 remove 3904 ref 7796 remove appTerm 7799 def 7744 ref appTerm appTerm appTerm appTerm appTerm 7800 def 7787 ref appTerm absTerm appTerm appTerm absTerm 7801 def absTerm 7802 def 251 ref appTerm betaConv 7803 def 7743 ref refl 7804 def appThm 7801 ref 7743 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 247 ref 7763 ref cons opType 7805 def 3 ref cons opType 7806 def 3 ref cons opType 7807 def constTerm 7808 def refl 7809 def "f" 7805 ref var 7810 def 3982 ref 248 ref 7803 remove 7810 ref varTerm 251 ref appTerm 7811 def refl 7812 def appThm 7801 remove 7811 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 247 ref 7739 remove nil cons cons opType var 7813 def 7802 remove nil cons cons nil cons nil cons cons "B" 7763 ref cons 7814 def 279 ref cons 43 ref cons 1121 ref subst 7815 def subst eqMp absThm appThm trans absThm appThm trans trans trans 7617 remove assume eqMp nil 83 ref 7773 ref 7775 ref 7773 ref 7792 ref 7808 ref 7810 ref 275 ref 248 ref 7765 ref 3972 ref 3903 ref 901 ref 10 ref 63 ref 452 ref 901 ref 820 ref 3816 ref 7811 ref 3904 ref appTerm 7816 def appTerm appTerm appTerm 7817 def 7798 ref appTerm absTerm appTerm appTerm 820 ref 739 ref 7784 ref 7816 ref appTerm appTerm 7799 ref 7816 ref appTerm 7818 def appTerm appTerm appTerm appTerm 7819 def 7787 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm 7820 def appTerm 7821 def absTerm 7822 def appTerm 7823 def absTerm 7824 def appTerm 7825 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 7771 remove var 7826 def 7775 ref 68 ref 7824 ref 7776 ref appTerm 7827 def appTerm 841 ref appTerm 7828 def absTerm nil cons cons nil cons nil cons cons "A" 7770 ref nil cons 7829 def cons nil cons 7830 def 43 ref cons 222 ref subst 7831 def subst 7775 ref nil 24 ref 7828 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7827 ref nil cons 7832 def cons 1032 ref cons nil cons cons 7833 def 100 ref subst 7833 remove 157 ref subst 7827 ref betaConv 7827 remove assume eqMp nil 83 ref 7823 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 7826 ref 7792 ref 68 ref 7822 ref 7793 ref appTerm 7834 def appTerm 841 ref appTerm 7835 def absTerm nil cons cons nil cons nil cons cons 7831 ref subst 7792 ref nil 24 ref 7835 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7834 ref nil cons 7836 def cons 1032 ref cons nil cons cons 7837 def 100 ref subst 7837 remove 157 ref subst 7834 ref betaConv 7834 remove assume eqMp nil 83 ref 7821 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 7806 remove var 7838 def "f''" 7805 ref var 7839 def 68 ref 7820 ref 7839 ref varTerm 7840 def appTerm 7841 def appTerm 841 ref appTerm 7842 def absTerm nil cons cons nil cons nil cons cons "A" 7805 ref nil cons 7843 def cons nil cons 7844 def 43 ref cons 222 ref subst 7845 def subst 7839 remove nil 24 ref 7842 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7841 ref nil cons 7846 def cons 1032 ref cons nil cons cons 7847 def 100 ref subst 7847 remove 157 ref subst 7841 ref betaConv 7841 remove assume eqMp nil 83 ref 275 ref 248 ref 7765 ref 3972 ref 3903 ref 901 ref 10 ref 63 ref 452 ref 901 ref 820 ref 3816 ref 7840 ref 251 ref appTerm 3904 ref appTerm 7848 def appTerm appTerm appTerm 7798 remove appTerm absTerm appTerm appTerm 820 ref 739 ref 7784 remove 7848 ref appTerm appTerm 7799 remove 7848 remove appTerm appTerm appTerm appTerm appTerm 7787 remove appTerm absTerm appTerm appTerm absTerm appTerm 7849 def nil cons 7850 def cons 1032 ref cons nil cons cons 7851 def 144 ref subst proveHyp 7851 ref 100 ref subst 7851 remove 157 ref subst 3982 ref 248 ref nil 3811 ref 7644 remove cons nil cons cons 1910 ref subst 7681 ref 7682 ref 3903 ref 7647 remove 1910 ref subst 7685 remove 753 ref 734 ref 753 ref 729 ref 7650 remove 1910 ref subst 1874 ref nil 7663 ref 84 ref 7652 remove cons nil cons cons nil cons cons 1941 ref subst 1874 ref 5491 remove appThm nil 7666 remove nil cons nil cons cons 1962 ref subst 1022 ref 64 ref 932 ref 7665 remove appThm absThm appThm trans appThm trans appThm 737 ref refl 7852 def appThm trans absThm appThm absThm appThm appThm trans absThm appThm appThm trans absThm appThm 3982 ref 248 ref 7681 ref 7682 ref 3903 ref 901 ref 1117 ref 7690 remove appTerm appTerm refl 753 ref 734 ref 753 ref 729 ref 1874 ref 123 ref 1874 ref 1022 ref 64 ref 5497 ref absThm appThm appThm 1022 ref 64 ref 64 ref 820 ref 7630 remove appTerm 7853 def absTerm 7854 def 69 ref appTerm betaConv 7855 def absThm appThm appThm appThm 1022 ref 64 ref 1874 ref 5497 remove appThm 7855 remove appThm absThm appThm appThm nil 161 ref 5494 ref nil cons cons 1446 ref 7854 remove nil cons cons nil cons cons nil cons cons 2680 remove subst eqMp appThm 7852 ref appThm 123 ref 1874 ref 1022 ref 64 ref 64 ref 901 ref 5493 remove appTerm 7853 remove appTerm 7856 def absTerm 7857 def 69 ref appTerm betaConv 7858 def absThm appThm appThm 7852 ref appThm appThm 1022 ref 64 ref 1874 ref 7858 remove appThm 7852 ref appThm absThm appThm appThm nil 161 ref 7857 remove nil cons cons 7649 remove cons nil cons cons 2027 ref subst eqMp trans absThm appThm 123 ref 753 ref 729 ref 1022 ref 64 ref 729 ref 64 ref 901 ref 7856 remove appTerm 737 ref appTerm absTerm 7859 def absTerm 7860 def 736 ref appTerm betaConv 7861 def 172 ref appThm 7859 ref 69 ref appTerm betaConv trans absThm appThm absThm appThm appThm 4569 ref 4570 ref 753 ref 729 ref 7861 remove 4571 ref 736 ref appTerm 7862 def refl appThm 7859 remove 7862 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 4574 remove 7860 remove nil cons cons nil cons nil cons cons 4575 remove subst eqMp trans absThm appThm 123 ref 753 ref 734 ref 4569 ref 4570 ref 734 ref 4570 ref 749 ref 729 ref 901 ref 901 ref 820 ref 739 ref 735 ref 7862 ref appTerm appTerm 3905 ref 7862 ref appTerm appTerm appTerm appTerm 820 ref 739 ref 736 ref 7862 ref appTerm appTerm 3908 ref 7862 remove appTerm appTerm appTerm appTerm appTerm 737 ref appTerm absTerm appTerm absTerm 7863 def absTerm 7864 def 735 ref appTerm betaConv 7865 def 4582 remove appThm 7863 ref 4571 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 728 ref 4583 remove cons opType 7866 def 3 ref cons opType 7867 def 3 ref cons opType constTerm 7868 def refl 7869 def "f" 7866 ref var 7870 def 753 ref 734 ref 7865 remove 7870 ref varTerm 7871 def 735 ref appTerm 7872 def refl appThm 7863 remove 7872 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 728 ref 4592 remove cons opType var 7864 remove nil cons cons nil cons nil cons cons 4594 remove 772 ref cons 43 ref cons 1121 ref subst subst eqMp trans appThm 123 ref 7692 remove 7868 ref 7870 ref 749 ref 734 ref 749 ref 729 ref 901 ref 901 ref 820 ref 739 ref 735 ref 7872 remove 736 ref appTerm 7873 def appTerm appTerm 3905 ref 7873 ref appTerm appTerm appTerm appTerm 820 ref 739 ref 736 ref 7873 ref appTerm appTerm 3908 ref 7873 remove appTerm appTerm appTerm appTerm appTerm 737 ref appTerm absTerm appTerm absTerm appTerm 7874 def absTerm 7875 def appTerm 7876 def refl 7877 def appThm appThm 3900 ref 734 ref 7693 remove 7877 ref appThm absThm appThm appThm nil 7694 remove 84 ref 7876 remove nil cons cons nil cons 7878 def cons nil cons cons 4774 ref subst eqMp 3900 ref 734 ref 123 ref 7696 remove 7877 ref appThm appThm 3900 ref 729 ref 7697 remove 7877 ref appThm absThm appThm appThm nil 7698 remove 7878 ref cons nil cons cons 4774 remove subst eqMp 3900 ref 729 ref 123 ref 7701 remove 7877 ref appThm appThm 1022 ref 64 ref 7702 remove 7877 remove appThm absThm appThm appThm nil 7703 remove 7878 remove cons nil cons cons 2027 ref subst eqMp 1022 ref 64 ref 123 ref 7704 ref refl 7879 def 7869 ref 7870 ref 7875 ref 7871 ref appTerm betaConv 7880 def absThm appThm appThm appThm 7869 ref 7870 ref 7879 remove 7880 remove appThm absThm appThm appThm nil "q" 7867 ref var 7875 remove nil cons cons 83 ref 7687 remove nil cons cons nil cons cons nil cons cons "A" 7866 ref nil cons 7881 def cons nil cons 43 ref cons 2006 ref subst subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans trans absThm appThm 123 ref 7682 ref 3903 ref 3900 ref 734 ref 3903 ref 734 ref 1117 ref 729 ref 331 ref 64 ref 7868 ref 7870 ref 7704 remove 7874 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7882 def absTerm 7883 def 3904 ref appTerm betaConv 7884 def 4779 ref appThm 7882 ref 735 ref appTerm betaConv trans absThm appThm absThm appThm appThm 7711 ref 7712 ref 7682 ref 3903 ref 7884 remove 7715 remove appThm 7882 remove 7714 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 7716 ref 7883 remove nil cons cons nil cons nil cons cons 7717 ref subst eqMp 7711 ref 7712 ref 123 ref 7682 ref 3903 ref 3900 ref 729 ref 3903 ref 729 ref 331 ref 64 ref 7868 ref 7870 ref 7722 remove 7874 ref appTerm absTerm appTerm absTerm appTerm absTerm 7885 def absTerm 7886 def 3904 ref appTerm betaConv 7887 def 5150 ref appThm 7885 ref 736 ref appTerm betaConv trans absThm appThm absThm appThm appThm 7711 ref 7727 ref 7682 ref 3903 ref 7887 remove 7730 remove appThm 7885 remove 7729 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 7716 remove 7886 remove nil cons cons nil cons nil cons cons 7717 remove subst eqMp 7711 ref 7727 ref 123 ref 7682 ref 3903 ref 1022 ref 64 ref 3903 ref 64 ref 7868 remove 7870 ref 7734 remove 7874 ref appTerm absTerm appTerm absTerm 7888 def absTerm 7889 def 3904 ref appTerm betaConv 7890 def 172 ref appThm 7888 ref 69 ref appTerm betaConv trans absThm appThm absThm appThm appThm 7741 ref 7742 ref 7682 ref 3903 ref 7890 remove 7745 remove appThm 7888 remove 7744 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 7746 remove 7889 remove nil cons cons nil cons nil cons cons 7747 remove subst eqMp 7741 ref 7742 ref 123 ref 7682 ref 3903 ref 7869 remove 7870 ref 3903 ref 7870 ref 7750 ref 7874 remove appTerm absTerm 7891 def absTerm 7892 def 3904 ref appTerm betaConv 7893 def 7871 ref refl appThm 7891 ref 7871 remove appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 3902 ref 7881 ref cons opType 7894 def 3 ref cons opType 7895 def 3 ref cons opType constTerm 7896 def refl 7897 def "f" 7894 ref var 7898 def 7682 ref 3903 ref 7893 remove 7898 ref varTerm 7899 def 3904 ref appTerm 7900 def refl appThm 7891 remove 7900 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 3902 ref 7867 remove nil cons cons opType var 7892 remove nil cons cons nil cons nil cons cons "B" 7881 ref cons 7901 def 3993 ref cons 43 ref cons 1121 ref subst subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans trans appThm 123 ref 7681 ref 7711 ref 7712 ref 7712 ref 7710 ref 7727 ref 7740 ref 7742 ref 7896 ref 7898 ref 3972 ref 3903 ref 7750 remove 749 ref 734 ref 749 ref 729 ref 901 ref 901 ref 820 ref 739 ref 735 ref 7900 remove 735 ref appTerm 736 ref appTerm 7902 def appTerm appTerm 3905 ref 7902 ref appTerm appTerm appTerm appTerm 820 ref 739 ref 736 ref 7902 ref appTerm appTerm 3908 ref 7902 remove appTerm appTerm appTerm appTerm appTerm 737 ref appTerm absTerm appTerm absTerm appTerm 7903 def appTerm absTerm appTerm 7904 def absTerm 7905 def appTerm absTerm 7906 def appTerm absTerm 7907 def appTerm absTerm 7908 def 7713 ref appTerm betaConv 7909 def absThm appThm appThm appThm 7711 ref 7712 ref 7681 ref 7909 remove appThm absThm appThm appThm nil 7756 ref 7908 remove nil cons cons 7757 ref cons nil cons cons 7759 ref subst eqMp 7711 ref 7712 ref 123 ref 7681 ref 7711 ref 7727 ref 7907 ref 7728 ref appTerm betaConv 7910 def absThm appThm appThm appThm 7711 ref 7727 ref 7681 ref 7910 remove appThm absThm appThm appThm nil 7756 remove 7907 remove nil cons cons 7757 ref cons nil cons cons 7759 remove subst eqMp 7711 ref 7727 ref 123 ref 7681 ref 7741 ref 7742 ref 7906 ref 7743 ref appTerm betaConv 7911 def absThm appThm appThm appThm 7741 ref 7742 ref 7681 ref 7911 remove appThm absThm appThm appThm nil 7762 remove 7906 remove nil cons cons 7757 ref cons nil cons cons 7764 remove subst eqMp 7741 ref 7742 ref 123 ref 7681 ref 7897 ref 7898 ref 7905 ref 7899 ref appTerm betaConv 7912 def absThm appThm appThm appThm 7897 ref 7898 ref 7681 remove 7912 remove appThm absThm appThm appThm nil "q" 7895 ref var 7905 remove nil cons cons 7757 remove cons nil cons cons "A" 7894 ref nil cons 7913 def cons nil cons 43 ref cons 2006 ref subst subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans trans absThm appThm 123 ref 3982 ref 248 ref 7711 ref 7712 ref 248 ref 7712 ref 7710 remove 7727 ref 7740 ref 7742 ref 7896 ref 7898 ref 7765 ref 7904 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7914 def absTerm 7915 def 251 ref appTerm betaConv 7916 def 7769 remove appThm 7914 ref 7713 remove appTerm betaConv trans absThm appThm absThm appThm appThm 7774 ref 7775 ref 3982 ref 248 ref 7916 remove 7778 remove appThm 7914 remove 7777 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 7779 ref 7915 remove nil cons cons nil cons nil cons cons 7781 ref subst eqMp 7774 ref 7775 ref 123 ref 3982 ref 248 ref 7711 remove 7727 ref 248 ref 7727 remove 7740 remove 7742 ref 7896 ref 7898 ref 7765 ref 3972 ref 3903 ref 7786 remove 7903 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 7917 def absTerm 7918 def 251 ref appTerm betaConv 7919 def 7791 remove appThm 7917 ref 7728 remove appTerm betaConv trans absThm appThm absThm appThm appThm 7774 ref 7792 ref 3982 ref 248 ref 7919 remove 7795 remove appThm 7917 remove 7794 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 7779 remove 7918 remove nil cons cons nil cons nil cons cons 7781 remove subst eqMp 7774 remove 7792 ref 123 ref 3982 ref 248 ref 7741 remove 7742 ref 248 ref 7742 ref 7896 remove 7898 ref 7765 ref 3972 ref 3903 ref 7800 remove 7903 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm 7920 def absTerm 7921 def 251 ref appTerm betaConv 7922 def 7804 remove appThm 7920 ref 7743 remove appTerm betaConv trans absThm appThm absThm appThm appThm 7809 ref 7810 ref 3982 ref 248 ref 7922 remove 7812 remove appThm 7920 remove 7811 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 7813 remove 7921 remove nil cons cons nil cons nil cons cons 7815 remove subst eqMp 7809 remove 7810 ref 123 ref 3982 ref 248 ref 7897 remove 7898 ref 248 ref 7898 ref 7765 ref 3972 ref 3903 ref 7819 ref 7903 remove appTerm absTerm appTerm appTerm absTerm 7923 def absTerm 7924 def 251 ref appTerm betaConv 7925 def 7899 ref refl appThm 7923 ref 7899 remove appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 247 ref 7913 ref cons opType 7926 def 3 ref cons opType 7927 def 3 ref cons opType 7928 def constTerm 7929 def refl "f" 7926 ref var 7930 def 3982 ref 248 ref 7925 remove 7930 ref varTerm 251 ref appTerm 7931 def refl appThm 7923 remove 7931 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 247 ref 7895 remove nil cons cons opType var 7924 remove nil cons cons nil cons nil cons cons "B" 7913 ref cons 7932 def 279 ref cons 43 ref cons 1121 ref subst subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans trans trans 7669 ref assume eqMp nil 83 ref 7773 ref 7775 ref 7773 ref 7792 ref 7808 ref 7810 ref 7929 ref 7930 ref 275 ref 248 ref 7765 ref 3972 ref 3903 ref 7819 remove 749 ref 734 ref 749 ref 729 ref 901 ref 901 ref 820 ref 739 ref 735 ref 7931 remove 3904 ref appTerm 735 ref appTerm 736 ref appTerm 7933 def appTerm appTerm 3905 ref 7933 ref appTerm appTerm appTerm appTerm 820 ref 739 ref 736 ref 7933 ref appTerm appTerm 3908 ref 7933 remove appTerm appTerm appTerm appTerm appTerm 737 ref appTerm absTerm appTerm absTerm appTerm 7934 def appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7935 def appTerm 7936 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 7826 ref "f'''" 7770 ref var 7937 def 68 ref 7935 ref 7937 ref varTerm 7938 def appTerm 7939 def appTerm 841 ref appTerm 7940 def absTerm nil cons cons nil cons nil cons cons 7831 ref subst 7937 remove nil 24 ref 7940 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7939 ref nil cons 7941 def cons 1032 ref cons nil cons cons 7942 def 100 ref subst 7942 remove 157 ref subst 7939 ref betaConv 7939 remove assume eqMp nil 83 ref 7773 remove 7792 remove 7808 ref 7810 ref 7929 ref 7930 ref 275 ref 248 ref 7765 ref 3972 ref 3903 ref 901 ref 10 ref 63 ref 452 ref 7817 ref 739 ref 7938 ref 251 ref appTerm 3904 ref appTerm 7943 def 455 ref appTerm appTerm 7944 def 7797 remove appTerm appTerm absTerm appTerm appTerm 820 ref 739 ref 3904 ref 7943 remove appTerm 7945 def 7816 ref appTerm appTerm 7946 def 7818 remove appTerm appTerm appTerm appTerm 7934 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 7947 def appTerm 7948 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 7826 ref "f''''" 7770 ref var 7949 def 68 ref 7947 ref 7949 ref varTerm 7950 def appTerm 7951 def appTerm 841 ref appTerm 7952 def absTerm nil cons cons nil cons nil cons cons 7831 remove subst 7949 remove nil 24 ref 7952 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7951 ref nil cons 7953 def cons 1032 ref cons nil cons cons 7954 def 100 ref subst 7954 remove 157 ref subst 7951 ref betaConv 7951 remove assume eqMp nil 83 ref 7808 remove 7810 ref 7929 ref 7930 ref 275 ref 248 ref 7765 ref 3972 ref 3903 ref 901 ref 10 ref 63 ref 452 ref 7817 remove 7944 remove 7950 ref 251 ref appTerm 3904 ref appTerm 7955 def 455 ref appTerm appTerm 7956 def appTerm absTerm appTerm appTerm 820 ref 7946 remove 3904 ref 7955 remove appTerm 7957 def 7816 remove appTerm appTerm appTerm appTerm appTerm 7934 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 7958 def appTerm 7959 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 7838 ref "f'''''" 7805 ref var 7960 def 68 ref 7958 ref 7960 ref varTerm 7961 def appTerm 7962 def appTerm 841 ref appTerm 7963 def absTerm nil cons cons nil cons nil cons cons 7845 remove subst 7960 remove nil 24 ref 7963 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7962 ref nil cons 7964 def cons 1032 ref cons nil cons cons 7965 def 100 ref subst 7965 remove 157 ref subst 7962 ref betaConv 7962 remove assume eqMp nil 83 ref 7929 remove 7930 ref 275 ref 248 ref 7765 ref 3972 ref 3903 ref 901 ref 10 ref 63 ref 452 ref 901 ref 820 ref 3816 ref 7961 ref 251 ref appTerm 3904 ref appTerm 7966 def appTerm appTerm appTerm 7956 remove appTerm absTerm appTerm appTerm 820 ref 739 ref 7945 remove 7966 ref appTerm appTerm 7957 remove 7966 remove appTerm appTerm appTerm appTerm appTerm 7967 def 7934 remove appTerm absTerm appTerm appTerm absTerm appTerm absTerm 7968 def appTerm 7969 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 7927 remove var 7970 def "f''''''" 7926 ref var 7971 def 68 ref 7968 ref 7971 ref varTerm 7972 def appTerm 7973 def appTerm 841 ref appTerm 7974 def absTerm nil cons cons nil cons nil cons cons "A" 7926 ref nil cons 7975 def cons nil cons 7976 def 43 ref cons 222 ref subst subst 7971 remove nil 24 ref 7974 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 7973 ref nil cons 7977 def cons 1032 ref cons nil cons cons 7978 def 100 ref subst 7978 remove 157 ref subst 7973 ref betaConv 7973 remove assume eqMp nil 83 ref 275 ref 248 ref 7765 remove 3972 ref 3903 ref 7967 remove 749 ref 734 ref 749 ref 729 ref 901 ref 901 ref 820 ref 739 ref 735 ref 7972 ref 251 ref appTerm 3904 ref appTerm 735 ref appTerm 736 ref appTerm 7979 def appTerm appTerm 3905 ref 7979 ref appTerm appTerm appTerm appTerm 820 ref 739 ref 736 ref 7979 ref appTerm appTerm 3908 remove 7979 remove appTerm appTerm appTerm appTerm appTerm 737 ref appTerm absTerm appTerm absTerm appTerm appTerm absTerm appTerm appTerm absTerm appTerm 7980 def nil cons 7981 def cons 1032 ref cons nil cons cons 7982 def 144 ref subst proveHyp 7982 ref 100 ref subst 7982 remove 157 ref subst nil 280 ref 7621 ref nil cons cons nil cons nil cons cons 389 remove 1962 ref subst subst 366 ref refl 7983 def 248 ref 932 ref 7621 remove 251 ref appTerm betaConv appThm nil 3811 ref 84 ref 7620 remove nil cons cons nil cons cons nil cons cons 1988 ref subst 23 ref 252 ref refl appThm 7984 def nil 3989 ref 7619 ref nil cons cons nil cons nil cons cons 3994 ref 1962 ref subst subst 5935 ref 3903 ref 932 ref 7619 remove 3904 ref appTerm betaConv appThm nil 3919 remove 84 ref 7618 remove nil cons cons nil cons cons nil cons cons 1988 ref subst 23 ref 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref 7683 remove 1910 ref subst 5960 remove 3944 ref appThm trans absThm appThm absThm appThm absThm appThm appThm 5486 remove 1411 ref 4516 remove subst subst 1874 ref 5492 remove appThm 3900 ref 734 ref 3900 ref 4253 ref 23 ref 5487 remove appThm 23 ref 3923 remove 4254 ref appTerm betaConv appThm 820 ref 733 ref 4254 ref appTerm 7985 def 735 ref appTerm appTerm 7986 def refl appThm appThm absThm appThm absThm appThm appThm trans appThm trans trans absThm appThm trans appThm trans trans absThm appThm trans 7983 ref 248 ref 7984 ref 5935 ref 3903 ref 10 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 5964 remove 3910 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm refl 901 ref 749 ref 734 ref 331 ref 5494 remove appTerm absTerm appTerm appTerm refl 3900 ref 734 ref 123 ref 3900 ref 4253 ref 7629 ref refl 7987 def 4253 ref 10 ref 63 ref 64 ref 739 ref 5536 remove appTerm 4255 remove appTerm absTerm appTerm appTerm 7988 def 7986 remove appTerm 7989 def absTerm 7990 def 4254 ref appTerm betaConv 7991 def appThm absThm appThm 7992 def appThm 7987 remove 3900 ref 4253 ref 7991 remove absThm appThm appThm 7993 def appThm nil 4190 ref 7990 remove nil cons cons 7663 remove nil cons cons nil cons cons 7994 def 1411 ref 4558 remove subst subst eqMp absThm appThm appThm appThm absThm appThm appThm absThm appThm 7983 remove 248 ref 7984 ref 5935 ref 3903 ref 23 ref 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref 123 ref 5975 remove 3944 ref appThm appThm 1022 ref 452 ref 5978 remove 3944 remove appThm absThm appThm appThm nil 5979 remove 7662 remove cons nil cons cons 2027 ref subst eqMp absThm appThm 123 ref 1078 ref 64 ref 1022 ref 452 ref 64 ref 452 ref 5980 remove 3910 ref appTerm absTerm 7995 def absTerm 7996 def 69 ref appTerm betaConv 7997 def 2401 ref appThm 7995 ref 455 ref appTerm betaConv trans absThm appThm absThm appThm appThm 1110 ref 1111 ref 1078 ref 64 ref 7997 remove 1114 remove appThm 7995 remove 1113 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 248 ref 7996 remove nil cons cons nil cons nil cons cons 1122 remove subst eqMp trans absThm appThm 123 ref 753 ref 729 ref 1110 remove 1111 ref 729 ref 1111 remove 63 ref 64 ref 5984 remove 3910 ref appTerm absTerm appTerm absTerm 7998 def absTerm 7999 def 736 ref appTerm betaConv 8000 def 1231 remove appThm 7998 ref 1112 remove appTerm betaConv trans absThm appThm absThm appThm appThm 4853 ref 4854 ref 753 ref 729 ref 8000 remove 4902 remove appThm 7998 remove 4901 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 4858 remove 7999 remove nil cons cons nil cons nil cons cons 4860 remove subst eqMp trans absThm appThm 123 ref 753 ref 734 ref 4853 remove 4854 ref 734 ref 4854 remove 749 ref 729 ref 63 ref 64 ref 5988 remove 3910 ref appTerm absTerm appTerm absTerm appTerm absTerm 8001 def absTerm 8002 def 735 ref appTerm betaConv 8003 def 4910 remove appThm 8001 ref 4855 remove appTerm betaConv trans absThm appThm absThm appThm appThm 4915 ref 4916 ref 753 ref 734 ref 8003 remove 4919 remove appThm 8001 remove 4918 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 4920 remove 8002 remove nil cons cons nil cons nil cons cons 4922 remove subst eqMp trans appThm 1874 ref 5498 remove appThm 3900 ref 734 ref 123 ref 7993 remove appThm 7992 remove appThm 7994 remove 4608 ref subst eqMp absThm appThm appThm 123 ref 1874 ref 4569 ref 4570 ref 5510 ref absThm appThm appThm 1117 ref 734 ref 1117 ref 4253 ref 7629 remove 7989 remove appTerm 8004 def absTerm 8005 def appTerm absTerm 8006 def appTerm 8007 def refl 8008 def appThm appThm 4569 ref 4570 ref 1874 ref 5510 remove appThm 8008 remove appThm absThm appThm appThm nil "p" 4566 remove var 5775 remove cons 84 ref 8007 remove nil cons cons nil cons cons nil cons cons 5506 ref 2027 ref subst subst eqMp 4569 ref 4570 ref 123 ref 901 ref 5499 remove appTerm 8009 def refl 8010 def 3900 ref 734 ref 8006 ref 735 ref appTerm betaConv 8011 def absThm appThm appThm appThm 3900 ref 734 ref 8010 ref 8011 remove appThm absThm appThm appThm nil 4190 ref 8006 remove nil cons cons 5512 remove nil cons 8012 def cons nil cons cons 4630 ref subst eqMp 3900 ref 734 ref 123 ref 8010 ref 3900 ref 4253 ref 8005 ref 4254 ref appTerm betaConv 8013 def absThm appThm appThm appThm 3900 ref 4253 ref 8010 remove 8013 remove appThm absThm appThm appThm nil 4190 ref 8005 remove nil cons cons 8012 remove cons nil cons cons 4630 remove subst eqMp absThm appThm trans absThm appThm trans trans appThm 123 ref 23 ref 4915 ref 4916 ref 4916 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 5992 remove 3910 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm 8014 def absTerm 8015 def 4917 ref appTerm betaConv 8016 def absThm appThm appThm 4568 ref 4570 ref 1117 ref 734 ref 1117 ref 4253 ref 8009 remove 8004 ref appTerm 8017 def absTerm 8018 def appTerm absTerm 8019 def appTerm absTerm 8020 def appTerm 8021 def refl 8022 def appThm appThm 4915 ref 4916 ref 23 ref 8016 remove appThm 8022 remove appThm absThm appThm appThm nil "p" 4912 ref var 8015 remove nil cons cons 84 ref 8021 remove nil cons cons nil cons cons nil cons cons 4937 ref 2659 ref subst subst eqMp 4915 ref 4916 ref 123 ref 10 ref 8014 ref appTerm 8023 def refl 8024 def 4569 ref 4570 ref 8020 ref 4571 ref appTerm betaConv 8025 def absThm appThm appThm appThm 4569 ref 4570 ref 8024 ref 8025 remove appThm absThm appThm appThm nil 5568 ref 8020 remove nil cons cons 83 ref 8014 remove nil cons cons nil cons 8026 def cons nil cons cons 5506 remove 2353 ref subst 8027 def subst eqMp 4569 ref 4570 ref 123 ref 8024 ref 3900 ref 734 ref 8019 ref 735 ref appTerm betaConv 8028 def absThm appThm appThm appThm 3900 ref 734 ref 8024 ref 8028 remove appThm absThm appThm appThm nil 4190 ref 8019 remove nil cons cons 8026 ref cons nil cons cons 4608 ref subst eqMp 3900 ref 734 ref 123 ref 8024 ref 3900 ref 4253 ref 8018 ref 4254 ref appTerm betaConv 8029 def absThm appThm appThm appThm 3900 ref 4253 ref 8024 remove 8029 remove appThm absThm appThm appThm nil 4190 ref 8018 remove nil cons cons 8026 remove cons nil cons cons 4608 ref subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans trans absThm appThm appThm 123 ref 7984 ref 5935 ref 3903 ref 3903 ref 4914 ref 4916 ref 4568 ref 4570 ref 1117 ref 734 ref 1117 ref 4253 ref 8023 remove 8017 ref appTerm 8030 def absTerm 8031 def appTerm absTerm 8032 def appTerm absTerm 8033 def appTerm absTerm 8034 def appTerm absTerm 8035 def 3904 ref appTerm betaConv 8036 def absThm appThm appThm appThm 5935 ref 3903 ref 7984 ref 8036 remove appThm absThm appThm appThm nil "q" 3970 remove var 8037 def 8035 remove nil cons cons 3811 remove nil cons 8038 def cons nil cons cons 3994 ref 2353 ref subst subst eqMp 5935 remove 3903 ref 123 ref 7984 ref 4915 ref 4916 ref 8034 ref 4917 remove appTerm betaConv 8039 def absThm appThm appThm appThm 4915 ref 4916 ref 7984 ref 8039 remove appThm absThm appThm appThm nil "q" 4912 remove var 8034 remove nil cons cons 8038 ref cons nil cons cons 4937 remove 2353 ref subst subst eqMp 4915 remove 4916 ref 123 ref 7984 ref 4569 ref 4570 ref 8033 ref 4571 remove appTerm betaConv 8040 def absThm appThm appThm appThm 4569 ref 4570 ref 7984 ref 8040 remove appThm absThm appThm appThm nil 5568 remove 8033 remove nil cons cons 8038 ref cons nil cons cons 8027 remove subst eqMp 4569 remove 4570 ref 123 ref 7984 ref 3900 ref 734 ref 8032 ref 735 ref appTerm betaConv 8041 def absThm appThm appThm appThm 3900 ref 734 ref 7984 ref 8041 remove appThm absThm appThm appThm nil 4190 ref 8032 remove nil cons cons 8038 ref cons nil cons cons 4608 ref subst eqMp 3900 ref 734 ref 123 ref 7984 ref 3900 ref 4253 ref 8031 ref 4254 remove appTerm betaConv 8042 def absThm appThm appThm appThm 3900 remove 4253 ref 7984 ref 8042 remove appThm absThm appThm appThm nil 4190 ref 8031 remove nil cons cons 8038 ref cons nil cons cons 4608 remove subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans trans absThm appThm trans trans 7623 remove assume eqMp nil 83 ref 366 remove 248 ref 5934 remove 3903 ref 4914 remove 4916 remove 4568 ref 4570 ref 1117 ref 734 ref 1117 ref 4253 ref 10 ref 252 ref appTerm 8043 def 8030 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8044 def appTerm 8045 def absTerm 8046 def appTerm 8047 def absTerm 8048 def appTerm 8049 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 280 ref 248 ref 68 ref 8048 ref 251 ref appTerm 8050 def appTerm 841 ref appTerm 8051 def absTerm nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 8051 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8050 ref nil cons 8052 def cons 1032 ref cons nil cons cons 8053 def 100 ref subst 8053 remove 157 ref subst 8050 ref betaConv 8050 remove assume eqMp nil 83 ref 8047 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 3989 ref 3903 ref 68 ref 8046 ref 3904 ref appTerm 8054 def appTerm 841 ref appTerm 8055 def absTerm nil cons cons nil cons nil cons cons 3995 remove subst 3903 ref nil 24 ref 8055 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8054 ref nil cons 8056 def cons 1032 ref cons nil cons cons 8057 def 100 ref subst 8057 remove 157 ref subst 8054 ref betaConv 8054 remove assume eqMp nil 83 ref 8045 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 4930 ref 4931 ref 68 ref 8044 ref 4932 remove appTerm 8058 def appTerm 841 ref appTerm 8059 def absTerm nil cons cons nil cons nil cons cons 4938 remove subst 4931 remove nil 24 ref 8059 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8058 ref nil cons 8060 def cons 1032 ref cons nil cons cons 8061 def 100 ref subst 8061 remove 157 ref subst 8058 ref betaConv 8058 remove assume eqMp nil 83 ref 4568 remove 4570 ref 1117 ref 734 ref 1117 ref 4253 ref 8043 ref 10 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 901 ref 4946 remove 4948 remove appTerm appTerm 3910 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 8062 def 8017 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8063 def appTerm 8064 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 5502 ref "f''''''''" 4565 remove var 8065 def 68 ref 8063 ref 8065 ref varTerm 8066 def appTerm 8067 def appTerm 841 ref appTerm 8068 def absTerm nil cons cons nil cons nil cons cons 5507 remove subst 8065 remove nil 24 ref 8068 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8067 ref nil cons 8069 def cons 1032 ref cons nil cons cons 8070 def 100 ref subst 8070 remove 157 ref subst 8067 ref betaConv 8067 remove assume eqMp nil 83 ref 1117 ref 734 ref 1117 ref 4253 ref 8043 ref 8062 ref 901 ref 749 ref 734 ref 820 ref 739 ref 735 ref 8066 ref 735 ref appTerm 8071 def appTerm appTerm 3905 remove 8071 remove appTerm appTerm appTerm absTerm appTerm appTerm 8072 def 8004 remove appTerm appTerm appTerm absTerm appTerm absTerm 8073 def appTerm 8074 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 773 ref "f'''''''''" 728 ref var 8075 def 68 ref 8073 ref 8075 ref varTerm 8076 def appTerm 8077 def appTerm 841 ref appTerm 8078 def absTerm nil cons cons nil cons nil cons cons 1412 ref subst 8075 remove nil 24 ref 8078 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8077 ref nil cons 8079 def cons 1032 ref cons nil cons cons 8080 def 100 ref subst 8080 remove 157 ref subst 8077 ref betaConv 8077 remove assume eqMp nil 83 ref 1117 remove 4253 remove 8043 ref 8062 ref 8072 ref 10 ref 63 ref 64 ref 739 ref 8076 ref 69 ref appTerm appTerm 3904 ref 8076 ref appTerm 69 ref appTerm appTerm absTerm appTerm appTerm 8081 def 7988 remove 820 ref 7985 remove 8076 ref appTerm appTerm appTerm appTerm appTerm appTerm appTerm absTerm 8082 def appTerm 8083 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 773 ref "f''''''''''" 728 ref var 8084 def 68 ref 8082 ref 8084 ref varTerm 8085 def appTerm 8086 def appTerm 841 ref appTerm 8087 def absTerm nil cons cons nil cons nil cons cons 1412 remove subst 8084 remove nil 24 ref 8087 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8086 ref nil cons 8088 def cons 1032 ref cons nil cons cons 8089 def 100 ref subst 8089 remove 157 ref subst 8086 ref betaConv 8086 remove assume eqMp nil 83 ref 8043 ref 8062 remove 8072 remove 8081 remove 10 ref 63 ref 64 ref 739 ref 8085 ref 69 ref appTerm appTerm 3904 ref 8085 ref appTerm 69 ref appTerm appTerm absTerm appTerm appTerm 820 ref 733 ref 8085 ref appTerm 8076 ref appTerm 8090 def appTerm 8091 def appTerm appTerm appTerm appTerm appTerm 8092 def nil cons 8093 def cons 1032 ref cons nil cons cons 8094 def 144 ref subst proveHyp 8094 ref 100 ref subst 8094 remove 157 ref subst nil 83 ref 10 ref 63 ref 64 ref 739 ref 4956 ref 8076 ref appTerm 8095 def 69 ref appTerm appTerm 4956 ref 4958 ref 8076 ref appTerm 8096 def appTerm 8097 def 69 ref appTerm appTerm absTerm 8098 def appTerm 8099 def appTerm 10 ref 63 ref 64 ref 739 ref 4956 ref 8085 ref appTerm 8100 def 69 ref appTerm appTerm 4956 ref 4958 ref 8085 ref appTerm 8101 def appTerm 8102 def 69 ref appTerm appTerm absTerm 8103 def appTerm 8104 def appTerm 8091 ref appTerm 8105 def appTerm 8106 def nil cons 8107 def cons 1032 ref cons nil cons cons 8108 def 100 ref subst 8108 remove 157 ref subst nil 83 ref 8090 ref nil cons 8109 def cons 8110 def nil cons nil cons cons 8111 def 5009 ref subst nil 83 ref 8091 ref nil cons 8112 def cons 84 ref 8109 ref cons nil cons 8113 def cons nil cons cons 8114 def 100 ref subst 8114 remove 157 ref subst 23 ref nil "f" 249 ref var 250 ref nil cons cons 283 ref cons nil cons cons 278 ref 786 ref cons 43 ref cons 5149 ref subst subst 8115 def appThm 8116 def 23 ref 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref 1874 ref 5158 remove 5161 remove appThm appThm 5178 remove appThm absThm appThm absThm appThm absThm appThm appThm 1874 ref 753 ref 734 ref 932 ref 1550 ref 4779 ref nil 4570 ref 8066 ref nil cons cons 776 ref cons nil cons cons 5438 ref subst 8117 def appThm nil 64 ref 5354 ref 8066 remove appTerm 8118 def 735 ref appTerm 8119 def nil cons cons nil cons 8120 def nil cons cons 5149 ref subst trans appThm 5768 ref 8117 remove appThm 5173 ref 8119 ref refl appThm nil 5174 ref 8120 remove cons nil cons cons 5149 ref subst trans trans appThm appThm absThm appThm appThm 23 ref 1078 ref 64 ref 1550 ref nil 734 ref 8076 ref nil cons 8121 def cons nil cons nil cons cons 5149 ref subst appThm nil 5170 ref 774 ref 8121 ref cons nil cons cons nil cons cons 5172 ref subst 172 ref appThm nil 734 ref 8096 remove nil cons cons nil cons nil cons cons 5149 ref subst trans appThm absThm appThm appThm 23 ref 1078 ref 64 ref 1550 ref nil 734 ref 8085 ref nil cons 8122 def cons nil cons nil cons cons 5149 ref subst appThm nil 5170 ref 774 ref 8122 ref cons nil cons cons nil cons cons 5172 ref subst 172 ref appThm nil 734 ref 8101 remove nil cons cons nil cons nil cons cons 5149 ref subst trans appThm absThm appThm appThm 932 ref 8090 remove refl appThm appThm appThm appThm appThm appThm 8092 remove assume eqMp 8123 def nil 119 ref 4955 ref 0 ref 249 remove 368 remove cons opType constTerm 250 remove appTerm 8124 def 251 ref appTerm 8125 def nil cons 8126 def cons 8127 def 121 ref 10 ref 749 ref 734 ref 749 ref 729 ref 63 ref 64 ref 901 ref 5090 remove 5082 ref appTerm appTerm 5078 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm 8128 def appTerm 901 ref 749 ref 734 ref 820 ref 739 ref 5080 ref 8119 ref appTerm appTerm 5076 ref 8119 remove appTerm appTerm appTerm absTerm 8129 def appTerm 8130 def appTerm 8106 remove appTerm 8131 def appTerm nil cons cons nil cons cons nil cons cons 8132 def 135 ref subst proveHyp 8133 def nil 83 ref 8126 remove cons 8134 def 84 ref 10 ref 739 ref 4956 ref 4958 ref 4955 ref 0 ref 7708 remove 7758 remove cons opType constTerm 8135 def 4955 ref 0 ref 7770 ref 7829 remove cons opType constTerm 8136 def 7938 ref appTerm 8137 def 251 ref appTerm 8138 def appTerm 3904 ref appTerm 8139 def appTerm 8140 def appTerm 4955 ref 0 ref 7738 remove 7763 remove cons opType constTerm 8141 def 4955 ref 0 ref 7805 ref 7843 remove cons opType constTerm 8142 def 7961 ref appTerm 8143 def 251 ref appTerm 8144 def appTerm 3904 ref appTerm 8145 def appTerm appTerm 4956 ref 4958 ref 8135 ref 8136 ref 7950 ref appTerm 8146 def 251 ref appTerm 8147 def appTerm 3904 ref appTerm 8148 def appTerm 8149 def appTerm 8145 ref appTerm appTerm 8150 def appTerm 10 ref 739 ref 8100 remove 5354 ref 4955 ref 0 ref 7866 remove 7881 remove cons opType constTerm 8151 def 4955 ref 0 ref 7894 remove 7913 remove cons opType constTerm 8152 def 4955 ref 0 ref 7926 ref 7975 remove cons opType constTerm 7972 ref appTerm 8153 def 251 ref appTerm 8154 def appTerm 3904 ref appTerm 8155 def appTerm 8156 def 8085 remove appTerm appTerm 8076 remove appTerm 8157 def appTerm appTerm 8102 remove 8157 ref appTerm appTerm 8158 def appTerm 8159 def 739 ref 8095 remove 8157 ref appTerm appTerm 8097 remove 8157 ref appTerm appTerm 8160 def appTerm 8161 def appTerm 8162 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 83 ref 8150 ref nil cons 8163 def cons 8164 def nil cons nil cons cons 5009 ref subst nil 83 ref 820 ref 8150 remove appTerm 8165 def nil cons 8166 def cons 8167 def 84 ref 8163 ref cons nil cons 8168 def cons nil cons cons 8169 def 100 ref subst 8169 remove 157 ref subst 8133 ref nil 8134 ref 84 ref 10 ref 4964 ref 4966 ref 5015 ref 5016 ref 5017 ref 8139 ref appTerm appTerm 8148 ref appTerm appTerm 8145 ref appTerm 8170 def appTerm appTerm 8145 ref appTerm 8171 def appTerm 8159 remove 10 ref 8160 ref appTerm 8091 ref appTerm 8172 def appTerm 8173 def appTerm 8174 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 8167 remove 84 ref 8171 remove nil cons 8175 def cons nil cons cons nil cons cons 144 ref subst nil "_13936" 728 ref var 8176 def 8148 ref nil cons 8177 def cons 8178 def "_13937" 45 ref var 8179 def 8145 ref nil cons 8180 def cons 8181 def "_13935" 728 ref var 8182 def 8139 ref nil cons 8183 def cons nil cons 8184 def cons cons nil cons cons nil 836 ref 739 ref 4956 ref 4958 ref 8182 remove varTerm 8185 def appTerm appTerm 8186 def 8179 remove varTerm 8187 def appTerm appTerm 4956 ref 4958 ref 8176 remove varTerm 8188 def appTerm appTerm 8189 def 8187 ref appTerm appTerm 8190 def nil cons 8191 def cons 838 ref 4964 ref 4966 ref 5015 ref 5016 ref 5017 ref 8185 ref appTerm appTerm 8192 def 8188 ref appTerm appTerm 8193 def 8187 ref appTerm 8194 def appTerm appTerm 8187 ref appTerm 8195 def nil cons cons nil cons cons nil cons cons 2085 ref subst 64 ref 10 ref 901 ref 4964 ref 4966 ref 8193 remove 69 ref appTerm 8196 def appTerm appTerm 69 ref appTerm appTerm 739 ref 8186 remove 69 ref appTerm appTerm 8197 def 8189 remove 69 ref appTerm appTerm 8198 def appTerm appTerm 901 ref 820 ref 739 ref 4956 ref 8185 ref appTerm 8199 def 8196 ref appTerm appTerm 4956 ref 8188 ref appTerm 8200 def 8196 remove appTerm appTerm appTerm appTerm 8198 remove appTerm appTerm absTerm 8201 def 8187 ref appTerm 8202 def betaConv 729 ref 63 ref 64 ref 10 ref 901 ref 4964 ref 4966 ref 5015 ref 8192 remove 736 ref appTerm appTerm 69 ref appTerm 8203 def appTerm appTerm 69 ref appTerm appTerm 8197 remove 5062 ref appTerm 8204 def appTerm appTerm 901 ref 820 ref 739 ref 8199 ref 8203 ref appTerm appTerm 5065 ref 8203 remove appTerm appTerm appTerm appTerm 8204 remove appTerm appTerm absTerm appTerm absTerm 8205 def 8188 ref appTerm 8206 def betaConv 734 ref 749 ref 729 ref 63 ref 64 ref 5079 remove 5083 remove 5078 remove appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8207 def 8185 ref appTerm 8208 def betaConv 753 ref 734 ref 753 ref 729 ref 1078 ref 64 ref nil 5093 remove 836 ref 5082 remove nil cons cons 5095 remove cons cons nil cons cons 5138 ref subst absThm appThm absThm appThm absThm appThm 8123 remove 8132 remove 581 ref subst proveHyp 8209 def nil 119 ref 8128 remove nil cons cons 121 ref 8131 remove nil cons cons nil cons cons nil cons cons 8210 def 135 ref subst proveHyp eqMp 8211 def nil 83 ref 749 ref 8207 ref appTerm nil cons cons 8212 def 84 ref 8208 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 8207 ref nil cons cons 8213 def 774 ref 8185 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 749 ref 8205 ref appTerm nil cons cons 84 ref 8206 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 8205 remove nil cons cons 774 ref 8188 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 8201 ref appTerm nil cons cons 84 ref 8202 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 8201 remove nil cons cons 64 ref 8187 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 8214 def nil 119 ref 901 ref 8195 remove appTerm 8190 ref appTerm nil cons cons 121 ref 901 ref 820 ref 739 ref 8199 remove 8194 ref appTerm appTerm 8200 remove 8194 remove appTerm appTerm 8215 def appTerm 8216 def appTerm 8190 ref appTerm nil cons cons nil cons cons nil cons cons 8217 def 135 ref subst proveHyp eqMp subst eqMp nil 83 ref 8175 remove cons 84 ref 8173 remove nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil "_13939" 45 ref var 8218 def 8157 remove nil cons 8219 def cons nil cons nil cons cons 8103 ref 8218 remove varTerm 8220 def appTerm 8221 def betaConv nil 119 ref 8099 remove nil cons 8222 def cons 121 ref 8105 remove nil cons cons nil cons cons nil cons cons 8223 def 581 ref subst 8224 def nil 119 ref 8104 remove nil cons 8225 def cons 121 ref 8112 ref cons nil cons cons nil cons cons 8226 def 135 ref subst proveHyp nil 83 ref 8225 remove cons 84 ref 8221 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 8103 remove nil cons cons 64 ref 8220 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst 8227 def nil 83 ref 8158 remove nil cons cons 8228 def 84 ref 8172 remove nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil "_13938" 45 ref var 8229 def 8219 remove cons nil cons nil cons cons 8098 ref 8229 remove varTerm 8230 def appTerm 8231 def betaConv 8223 remove 135 ref subst nil 83 ref 8222 remove cons 84 ref 8231 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 8098 remove nil cons cons 64 ref 8230 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst 8232 def nil 83 ref 8160 remove nil cons 8233 def cons 84 ref 8112 ref cons nil cons cons nil cons cons 157 ref subst proveHyp 8091 remove assume eqMp eqMp eqMp eqMp nil 83 ref 10 ref 8125 ref appTerm 8234 def 8174 remove appTerm nil cons cons 84 ref 739 ref 4956 ref 8139 remove appTerm 8235 def 8170 ref appTerm appTerm 4956 ref 8148 remove appTerm 8236 def 8170 ref appTerm appTerm nil cons 8237 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_13934" 728 ref var 8238 def 8121 remove cons 8239 def "_13933" 728 ref var 8240 def 8122 remove cons 8241 def "_13931" 3902 ref var 8242 def 5169 ref cons 8243 def "_13932" 45 ref var 8244 def 8170 remove nil cons cons "_13930" 247 ref var 8245 def 282 ref cons nil cons 8246 def cons cons cons cons nil cons cons nil 836 ref 901 ref 820 ref 8124 ref 8245 remove varTerm 8247 def appTerm 8248 def appTerm 8249 def appTerm 8250 def 901 ref 820 ref 4964 ref 4965 ref 8247 ref appTerm 8251 def 8244 remove varTerm 8252 def appTerm appTerm 8141 ref 8143 remove 8247 ref appTerm appTerm 8253 def 8242 remove varTerm 8254 def appTerm 8255 def appTerm 8256 def appTerm 8257 def appTerm 8258 def 901 ref 820 ref 739 ref 4956 ref 8240 remove varTerm 8259 def appTerm 8260 def 5354 ref 8151 ref 8152 remove 8153 remove 8247 ref appTerm appTerm 8261 def 8254 ref appTerm appTerm 8262 def 8259 ref appTerm appTerm 8263 def 8238 remove varTerm 8264 def appTerm 8265 def appTerm appTerm 4956 ref 4957 ref 8254 ref appTerm 8266 def 8259 ref appTerm appTerm 8267 def 8265 ref appTerm appTerm 8268 def appTerm 8269 def appTerm 8270 def 901 ref 820 ref 739 ref 4956 ref 8264 ref appTerm 8265 ref appTerm appTerm 4956 ref 8266 ref 8264 ref appTerm appTerm 8265 remove appTerm appTerm 8271 def appTerm 8272 def appTerm 8273 def 733 remove 8259 ref appTerm 8274 def 8264 ref appTerm 8275 def appTerm 8276 def appTerm 8277 def appTerm 8278 def appTerm nil cons cons 838 ref 739 ref 4956 ref 8135 ref 8137 remove 8247 ref appTerm appTerm 8279 def 8254 ref appTerm 8280 def appTerm 8281 def 8252 ref appTerm appTerm 4956 ref 8135 ref 8146 remove 8247 ref appTerm appTerm 8282 def 8254 ref appTerm 8283 def appTerm 8284 def 8252 ref appTerm appTerm 8285 def nil cons 8286 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 8278 remove nil cons cons 838 ref 8249 ref nil cons 8287 def cons nil cons 8288 def cons nil cons cons 2144 ref subst 23 ref nil 838 ref 8248 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 8289 def nil 836 ref 8277 ref nil cons 8290 def cons 838 ref 8257 remove nil cons 8291 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 8256 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm nil 836 ref 8276 remove nil cons 8292 def cons 838 ref 8269 remove nil cons 8293 def cons nil cons 8294 def cons nil cons cons 2144 ref subst 23 ref nil 838 ref 8268 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 8295 def nil 836 ref 8275 ref nil cons 8296 def cons 838 ref 8272 ref nil cons 8297 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 8271 remove nil cons cons nil cons nil cons cons 2086 ref subst 8298 def appThm 820 ref 8275 ref appTerm refl appThm trans appThm trans appThm trans appThm trans appThm 8285 ref refl appThm trans 123 ref nil 917 ref 901 ref 8285 ref appTerm 8299 def 8277 remove appTerm nil cons cons 84 ref 8291 ref cons 83 ref 8287 ref cons nil cons 8300 def cons 8301 def cons nil cons cons 2174 ref subst 8258 ref refl 8302 def nil 917 ref 8290 ref cons 8303 def 84 ref 8286 ref cons 8304 def 8300 ref cons cons nil cons cons 2174 ref subst 8299 ref refl 8305 def nil 917 ref 8292 remove cons 84 ref 8293 ref cons 8306 def 8300 ref cons 8307 def cons nil cons cons 2174 ref subst 8270 ref refl 8308 def nil 917 ref 8296 ref cons 84 ref 8297 ref cons 8309 def 8300 ref cons 8310 def cons nil cons cons 2174 ref subst 8273 ref refl nil 84 ref 8296 ref cons 8311 def 8300 ref cons nil cons cons 2097 ref subst appThm nil 917 ref 8287 remove cons 8312 def 8311 ref 83 ref 8297 ref cons nil cons cons cons nil cons cons 2174 ref subst trans trans appThm nil 917 ref 8273 ref 8249 ref appTerm 8313 def nil cons cons 8314 def 8311 ref 83 ref 8293 ref cons nil cons cons cons nil cons cons 2174 ref subst trans trans 8315 def appThm trans appThm nil 917 ref 901 ref 8275 ref appTerm 8316 def 8270 ref 8313 remove appTerm 8317 def appTerm nil cons cons 8304 remove 83 ref 8291 ref cons nil cons 8318 def cons cons nil cons cons 2174 ref subst 8305 ref nil 917 ref 8317 remove nil cons cons 8319 def 8311 ref 8318 ref cons cons nil cons cons 2174 ref subst 8316 ref refl 8320 def nil 8314 ref 8306 ref 8318 ref cons cons nil cons cons 2174 ref subst 8308 ref nil 8312 ref 8309 ref 8318 remove cons cons nil cons cons 2174 ref subst appThm trans appThm trans 8321 def appThm trans trans trans appThm 8305 remove nil 8303 ref 8301 remove cons nil cons cons 2174 ref subst 8302 remove 8315 ref appThm 8321 remove trans trans appThm appThm nil 315 ref 8299 remove 8316 ref 8270 ref 8273 ref 8258 ref 8249 ref appTerm appTerm appTerm appTerm appTerm nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 8250 ref refl 8322 def 901 ref 8258 remove 8285 remove appTerm appTerm 8323 def refl nil 984 ref 8293 remove cons 983 ref 8297 ref cons 2148 ref 8296 ref cons nil cons cons cons nil cons cons 3414 ref subst 8324 def appThm nil 984 ref 8291 remove cons 983 ref 8286 remove cons 2148 ref 8290 remove cons nil cons cons cons nil cons cons 3414 ref subst trans appThm 729 ref 10 ref 8250 ref 8323 ref 901 ref 901 ref 820 ref 739 ref 8260 remove 8263 remove 736 ref appTerm 8325 def appTerm appTerm 8267 remove 8325 ref appTerm appTerm appTerm appTerm 820 ref 739 ref 5065 ref 8325 ref appTerm appTerm 4956 ref 8266 ref 736 ref appTerm appTerm 8326 def 8325 remove appTerm appTerm appTerm appTerm appTerm 8274 remove 736 ref appTerm appTerm 8327 def appTerm appTerm appTerm 8250 ref 901 ref 820 ref 739 ref 4956 ref 8266 ref 8280 remove appTerm appTerm 8255 ref appTerm appTerm 4956 ref 8266 ref 8283 remove appTerm appTerm 8255 ref appTerm appTerm 8328 def appTerm 8329 def appTerm 8330 def 8327 remove appTerm appTerm appTerm absTerm 8331 def 8264 ref appTerm 8332 def betaConv 734 ref 749 ref 729 ref 10 ref 8250 ref 8323 ref 901 ref 901 ref 820 ref 739 ref 5080 ref 5354 ref 8262 remove 735 ref appTerm appTerm 736 ref appTerm 8333 def appTerm appTerm 4956 ref 8266 remove 735 ref appTerm appTerm 8333 ref appTerm appTerm appTerm appTerm 820 ref 739 ref 5065 ref 8333 ref appTerm appTerm 8326 remove 8333 remove appTerm appTerm appTerm appTerm appTerm 737 ref appTerm 8334 def appTerm appTerm appTerm 8250 ref 8330 ref 8334 ref appTerm appTerm 8335 def appTerm absTerm appTerm absTerm 8336 def 8259 ref appTerm 8337 def betaConv 452 ref 749 ref 734 ref 749 ref 729 ref 10 ref 8250 ref 901 ref 901 ref 820 ref 4964 ref 8251 remove 455 ref appTerm appTerm 8338 def 8255 remove appTerm appTerm appTerm 739 ref 8281 remove 455 ref appTerm appTerm 8284 remove 455 ref appTerm appTerm appTerm appTerm 8334 remove appTerm appTerm appTerm 8335 remove appTerm absTerm appTerm absTerm appTerm absTerm 8339 def 8252 ref appTerm 8340 def betaConv 3903 ref 63 ref 452 ref 749 ref 734 ref 749 ref 729 ref 10 ref 8250 ref 901 ref 901 ref 820 ref 8338 remove 8253 remove 3904 ref appTerm 8341 def appTerm appTerm appTerm 739 ref 4956 ref 8279 remove 3904 ref appTerm 8342 def appTerm 455 ref appTerm appTerm 4956 ref 8282 remove 3904 ref appTerm 8343 def appTerm 455 ref appTerm appTerm appTerm appTerm 901 ref 901 ref 820 ref 739 ref 5080 ref 5354 ref 8151 remove 8261 remove 3904 ref appTerm appTerm 735 ref appTerm appTerm 736 ref appTerm 8344 def appTerm appTerm 5076 ref 8344 ref appTerm appTerm appTerm appTerm 820 ref 739 ref 5065 ref 8344 ref appTerm appTerm 5061 ref 8344 remove appTerm appTerm appTerm appTerm appTerm 737 ref appTerm 8345 def appTerm appTerm appTerm 8250 ref 901 ref 820 ref 739 ref 4956 ref 4958 ref 8342 remove appTerm appTerm 8341 ref appTerm appTerm 4956 ref 4958 ref 8343 remove appTerm appTerm 8341 remove appTerm appTerm appTerm appTerm 8345 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8346 def 8254 ref appTerm 8347 def betaConv 248 ref 3972 ref 3903 ref 63 ref 452 ref 749 ref 734 ref 749 ref 729 ref 10 ref 901 ref 820 ref 8125 remove appTerm 8348 def appTerm 8349 def 901 ref 901 ref 820 ref 4968 ref 8145 ref appTerm appTerm appTerm 739 ref 8235 remove 455 ref appTerm appTerm 8236 remove 455 ref appTerm appTerm appTerm 8350 def appTerm 901 ref 901 ref 820 ref 739 ref 5080 remove 5354 remove 8156 remove 735 ref appTerm 8351 def appTerm 736 ref appTerm 8352 def appTerm appTerm 5076 remove 8352 ref appTerm appTerm appTerm appTerm 820 ref 739 ref 5065 ref 8352 ref appTerm appTerm 5061 remove 8352 ref appTerm appTerm appTerm appTerm appTerm 737 remove appTerm 8353 def appTerm 8354 def appTerm appTerm 8349 ref 901 ref 8165 ref appTerm 8353 ref appTerm 8355 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8356 def 8247 ref appTerm 8357 def betaConv 3982 ref 248 ref 8349 ref refl 8358 def 7682 ref 3903 ref 1874 ref 123 ref 23 ref 1078 ref 452 ref 452 ref 8350 ref absTerm 8359 def 455 ref appTerm betaConv 8360 def absThm appThm appThm 8165 ref refl 8361 def appThm appThm 1078 ref 452 ref 23 ref 8360 remove appThm 8361 remove appThm absThm appThm appThm nil 161 ref 8359 remove nil cons cons 84 ref 8166 ref cons nil cons cons nil cons cons 84 ref 27 ref 1449 remove 87 ref appTerm appTerm 63 ref 2652 remove appTerm appTerm absTerm 8362 def 87 ref appTerm 8363 def betaConv 161 ref 311 ref 8362 ref appTerm 8364 def absTerm 8365 def 163 ref appTerm 8366 def betaConv nil 254 ref 8365 ref appTerm 8367 def axiom nil 83 ref 8367 remove nil cons cons 84 ref 8366 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 540 ref 8365 remove nil cons cons 543 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 8364 remove nil cons cons 84 ref 8363 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 8362 remove nil cons cons 1644 remove cons nil cons cons 173 ref subst eqMp eqMp 8368 def subst eqMp appThm 749 ref 734 ref 749 ref 729 ref 8353 ref absTerm 8369 def appTerm absTerm 8370 def appTerm 8371 def refl 8372 def appThm 123 ref 1874 ref 1078 ref 452 ref 452 ref 10 ref 8350 ref appTerm 8165 remove appTerm 8373 def absTerm 8374 def 455 ref appTerm betaConv 8375 def absThm appThm appThm 8372 ref appThm appThm 1078 ref 452 ref 1874 ref 8375 remove appThm 8372 remove appThm absThm appThm appThm nil 161 ref 8374 remove nil cons cons 84 ref 8371 remove nil cons cons nil cons cons nil cons cons 6140 ref subst eqMp 1078 ref 452 ref 123 ref 901 ref 8373 ref appTerm 8376 def refl 8377 def 753 ref 734 ref 8370 ref 735 ref appTerm betaConv 8378 def absThm appThm appThm appThm 753 ref 734 ref 8377 ref 8378 remove appThm absThm appThm appThm nil 4190 ref 8370 remove nil cons cons 83 ref 8373 remove nil cons cons nil cons 8379 def cons nil cons cons 1411 remove 5308 ref subst 8380 def subst eqMp 753 ref 734 ref 123 ref 8377 ref 753 ref 729 ref 8369 ref 736 ref appTerm betaConv 8381 def absThm appThm appThm appThm 753 ref 729 ref 8377 remove 8381 remove appThm absThm appThm appThm nil 4190 ref 8369 remove nil cons cons 8379 remove cons nil cons cons 8380 ref subst eqMp absThm appThm trans absThm appThm trans trans absThm appThm appThm 123 ref 8358 ref 7682 ref 3903 ref 3903 ref 63 ref 452 ref 749 ref 734 ref 749 ref 729 ref 8376 remove 8353 ref appTerm absTerm 8382 def appTerm absTerm 8383 def appTerm absTerm 8384 def appTerm absTerm 8385 def 3904 ref appTerm betaConv 8386 def absThm appThm appThm appThm 7682 ref 3903 ref 8358 ref 8386 remove appThm absThm appThm appThm nil 8037 ref 8385 remove nil cons cons 83 ref 8348 remove nil cons 8387 def cons nil cons 8388 def cons nil cons cons 3994 remove 5308 ref subst 8389 def subst eqMp 7682 ref 3903 ref 123 ref 8358 ref 1078 ref 452 ref 8384 ref 455 ref appTerm betaConv 8390 def absThm appThm appThm appThm 1078 ref 452 ref 8358 ref 8390 remove appThm absThm appThm appThm nil 1446 ref 8384 remove nil cons cons 8388 ref cons nil cons cons 5308 ref subst eqMp 1078 ref 452 ref 123 ref 8358 ref 753 ref 734 ref 8383 ref 735 remove appTerm betaConv 8391 def absThm appThm appThm appThm 753 ref 734 ref 8358 ref 8391 remove appThm absThm appThm appThm nil 4190 ref 8383 remove nil cons cons 8388 ref cons nil cons cons 8380 ref subst eqMp 753 ref 734 ref 123 ref 8358 ref 753 ref 729 ref 8382 ref 736 ref appTerm betaConv 8392 def absThm appThm appThm appThm 753 ref 729 ref 8358 ref 8392 remove appThm absThm appThm appThm nil 4190 remove 8382 remove nil cons cons 8388 ref cons nil cons cons 8380 remove subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans trans absThm appThm 3982 ref 248 ref 7682 ref 3903 ref 1078 ref 452 ref 753 ref 734 ref 753 ref 729 ref 8358 ref nil 838 ref 8350 remove nil cons cons 836 ref 8166 ref cons 1605 ref 8353 remove nil cons cons nil cons cons cons nil cons cons 5138 ref subst appThm nil 838 ref 8387 remove cons 8393 def 836 ref 8354 remove nil cons cons 1605 ref 8355 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst trans absThm appThm absThm appThm absThm appThm absThm appThm absThm appThm trans 3982 ref 248 ref 1874 ref 932 ref 8115 remove appThm appThm 8394 def 7682 ref 3903 ref 1874 ref 23 ref 1078 ref 452 ref 1874 ref 932 ref 1222 ref 2401 ref appThm 8395 def nil 7810 ref 7961 remove nil cons cons 283 ref cons nil cons cons 278 ref 7814 remove nil cons cons 43 ref cons 5149 ref subst 8396 def subst 5767 ref appThm nil 7742 ref 8144 remove nil cons cons 5797 ref cons nil cons cons 3992 ref 3657 ref cons 43 ref cons 5149 ref subst 8397 def subst trans 8398 def appThm 5441 ref 8145 remove refl 8399 def appThm nil 5442 ref 64 ref 8180 remove cons nil cons 8400 def cons nil cons cons 5157 ref subst trans trans appThm appThm 1550 ref nil 7775 ref 7938 remove nil cons cons 283 ref cons nil cons cons 278 ref 7780 remove nil cons cons 43 ref cons 5149 ref subst 8401 def subst 5767 ref appThm nil 7712 ref 8138 remove nil cons cons 5797 ref cons nil cons cons 3992 ref 5171 remove cons 43 ref cons 5149 ref subst 8402 def subst trans 8403 def 2401 ref appThm nil 734 ref 8183 ref cons 4469 ref cons nil cons cons 5149 ref subst trans appThm nil 7775 ref 7950 remove nil cons cons 283 ref cons nil cons cons 8401 ref subst 5767 ref appThm nil 7712 ref 8147 remove nil cons cons 5797 ref cons nil cons cons 8402 ref subst trans 8404 def 2401 ref appThm nil 734 ref 8177 ref cons 4469 ref cons nil cons cons 5149 ref subst trans appThm appThm absThm appThm appThm 932 ref 1550 ref 5767 ref 8403 remove appThm 8398 ref appThm nil 5170 ref 774 ref 8183 remove cons nil cons cons nil cons cons 5172 ref subst 8399 ref appThm nil 734 ref 8140 remove nil cons cons 8400 ref cons nil cons cons 5149 ref subst trans trans appThm 5767 ref 8404 remove appThm 8398 remove appThm nil 5170 ref 774 ref 8177 remove cons nil cons cons nil cons cons 5172 ref subst 8399 remove appThm nil 734 ref 8149 remove nil cons cons 8400 remove cons nil cons cons 5149 ref subst trans trans appThm appThm appThm appThm 753 ref 734 ref 753 remove 729 ref 1874 ref 1874 ref 932 ref 1550 ref 4779 ref nil 7930 remove 7972 remove nil cons cons 283 ref cons nil cons cons 278 remove 7932 remove nil cons cons 43 ref cons 5149 ref subst subst 5767 ref appThm nil 7898 remove 8154 remove nil cons cons 5797 ref cons nil cons cons 3992 remove 7901 remove nil cons cons 43 ref cons 5149 ref subst subst trans 4779 remove appThm nil 7870 remove 8155 remove nil cons cons 776 remove cons nil cons cons 771 remove 5437 remove cons 43 ref cons 5149 ref subst subst trans 5150 ref appThm nil 4570 remove 8351 remove nil cons cons 778 remove cons nil cons cons 5438 remove subst trans 8405 def appThm nil 64 ref 8352 ref nil cons cons nil cons 8406 def nil cons cons 5149 ref subst trans appThm 5768 remove 8405 ref appThm 5173 remove 8352 remove refl 8407 def appThm nil 5174 remove 8406 ref cons nil cons cons 5149 ref subst trans trans appThm appThm appThm 932 ref 1550 ref 5150 ref 8405 ref appThm nil 5160 remove 8406 ref cons nil cons cons 5149 ref subst trans appThm 5767 ref 5150 remove appThm 8405 remove appThm 5176 remove 8407 remove appThm nil 5177 remove 8406 remove cons nil cons cons 5149 ref subst trans trans appThm appThm appThm appThm 7852 remove appThm absThm appThm absThm appThm appThm absThm appThm appThm absThm appThm 7980 remove assume eqMp eqMp nil 83 ref 275 ref 8356 ref appTerm nil cons cons 84 ref 8357 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 8356 remove nil cons cons 281 ref 8247 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3972 ref 8346 ref appTerm nil cons cons 84 ref 8347 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3993 ref 3989 ref 8346 remove nil cons cons 5796 ref 8254 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 8339 ref appTerm nil cons cons 84 ref 8340 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 8339 remove nil cons cons 64 ref 8252 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 749 ref 8336 ref appTerm nil cons cons 84 ref 8337 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 8336 remove nil cons cons 774 ref 8259 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 749 ref 8331 ref appTerm nil cons cons 84 ref 8332 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 8331 remove nil cons cons 774 ref 8264 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 8408 def nil 119 ref 8250 ref 8323 remove 901 ref 8270 ref 8272 remove appTerm 8409 def appTerm 8275 ref appTerm 8410 def appTerm appTerm nil cons cons 121 ref 8250 ref 8330 ref 8410 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 8411 def 135 ref subst proveHyp eqMp eqMp eqMp subst eqMp nil 83 ref 8237 remove cons 8168 remove cons nil cons cons 144 ref subst proveHyp nil 8181 remove 8178 remove 8184 remove cons cons nil cons cons nil 836 ref 8216 remove nil cons 8412 def cons 838 ref 8191 ref cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 8215 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 8190 remove refl appThm trans nil 84 ref 8191 remove cons 83 ref 8412 remove cons nil cons cons nil cons cons 2097 ref subst 8214 remove 8217 remove 581 ref subst proveHyp eqMp eqMp subst eqMp eqMp nil 119 ref 8166 remove cons 121 ref 8163 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 8164 remove 84 ref 8161 remove nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp 8227 remove nil 8228 remove 84 ref 8233 remove cons nil cons cons nil cons cons 157 ref subst proveHyp 8232 remove eqMp eqMp eqMp nil 83 ref 8234 ref 8162 remove appTerm nil cons cons 8113 remove cons nil cons cons 144 ref subst proveHyp nil 8239 remove 8241 remove 8243 remove 8246 remove cons cons cons nil cons cons nil 836 ref 8250 remove 8330 ref 8409 ref appTerm 8413 def appTerm nil cons cons 838 ref 8296 remove cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 8413 remove nil cons cons 8288 remove cons nil cons cons 2144 ref subst 8289 remove nil 836 ref 8409 remove nil cons 8414 def cons 838 ref 8329 remove nil cons 8415 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 8328 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm nil 836 ref 8297 ref cons 8294 remove cons nil cons cons 2144 ref subst 8295 remove 8298 remove appThm trans appThm trans appThm trans appThm 8275 remove refl appThm trans 123 ref nil 8303 remove 84 ref 8415 ref cons 8300 remove cons 8416 def cons nil cons cons 2174 ref subst 8330 ref refl 8417 def 8315 remove appThm nil 8319 remove 8311 remove 83 ref 8415 remove cons nil cons 8418 def cons cons nil cons cons 2174 ref subst 8320 ref nil 8314 remove 8306 remove 8418 ref cons cons nil cons cons 2174 ref subst 8308 ref nil 8312 remove 8309 remove 8418 remove cons cons nil cons cons 2174 ref subst appThm trans 8419 def appThm trans trans trans appThm 8320 remove nil 917 ref 8414 remove cons 8416 remove cons nil cons cons 2174 ref subst 8417 ref nil 917 ref 8297 remove cons 8307 remove cons nil cons cons 2174 ref subst 8308 remove nil 8310 remove nil cons cons 2097 ref subst appThm trans appThm 8419 remove trans trans appThm appThm nil 315 ref 8316 remove 8270 remove 8273 remove 8330 remove 8249 remove appTerm appTerm appTerm appTerm nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 8322 remove 8417 remove 8324 remove appThm appThm 8408 remove 8411 remove 581 ref subst proveHyp eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 8112 remove cons 121 ref 8109 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 8110 remove 1032 ref cons nil cons cons 144 ref subst proveHyp 8111 remove 2222 ref subst 8224 remove 8226 remove 581 ref subst proveHyp eqMp eqMp eqMp nil 119 ref 8107 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 8130 remove nil cons 8420 def cons 8421 def 1032 ref cons nil cons cons 8422 def 100 ref subst 8422 remove 157 ref subst nil 83 ref 739 ref 4956 ref 8135 ref 8136 ref 7776 remove appTerm 8423 def 251 ref appTerm 8424 def appTerm 3904 ref appTerm 8425 def appTerm 8426 def 8118 ref 8425 ref appTerm 8427 def appTerm appTerm 4956 ref 4958 ref 8425 ref appTerm 8428 def appTerm 8429 def 8427 ref appTerm appTerm 8430 def nil cons 8431 def cons 8432 def nil cons nil cons cons 5009 ref subst nil 83 ref 820 ref 8430 remove appTerm 8433 def nil cons 8434 def cons 84 ref 8431 ref cons nil cons cons nil cons cons 8435 def 100 ref subst 8435 remove 157 ref subst nil "_13916" 45 ref var 8436 def 8427 remove nil cons cons 8437 def nil cons nil cons cons 8133 ref nil 8134 ref 84 ref 739 ref 8429 ref 8141 ref 8142 remove 7840 ref appTerm 8438 def 251 ref appTerm 8439 def appTerm 3904 ref appTerm 8440 def appTerm appTerm 4956 ref 4958 ref 8135 ref 8136 remove 7793 ref appTerm 8441 def 251 ref appTerm 8442 def appTerm 3904 ref appTerm 8443 def appTerm 8444 def appTerm 8440 ref appTerm appTerm 8445 def nil cons 8446 def cons nil cons 8447 def cons nil cons cons 157 ref subst proveHyp nil 83 ref 8446 ref cons nil cons nil cons cons 5009 ref subst nil 83 ref 820 ref 8445 ref appTerm 8448 def nil cons 8449 def cons 8450 def 8447 ref cons nil cons cons 8451 def 100 ref subst 8451 remove 157 ref subst 8133 remove nil 8134 remove 84 ref 10 ref 4964 ref 4966 ref 5015 ref 5016 ref 5017 ref 8425 ref appTerm appTerm 8443 ref appTerm appTerm 8440 ref appTerm 8452 def appTerm appTerm 8440 ref appTerm 8453 def appTerm 8433 ref appTerm 8454 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 8450 remove 84 ref 8453 remove nil cons 8455 def cons nil cons cons nil cons cons 144 ref subst nil "_13923" 728 ref var 8456 def 8443 ref nil cons 8457 def cons 8458 def "_13924" 45 ref var 8459 def 8440 ref nil cons 8460 def cons 8461 def "_13922" 728 ref var 8462 def 8425 remove nil cons 8463 def cons nil cons 8464 def cons cons nil cons cons nil 836 ref 739 ref 4956 ref 4958 ref 8462 remove varTerm 8465 def appTerm appTerm 8466 def 8459 remove varTerm 8467 def appTerm appTerm 4956 ref 4958 ref 8456 remove varTerm 8468 def appTerm appTerm 8469 def 8467 ref appTerm appTerm 8470 def nil cons 8471 def cons 838 ref 4964 ref 4966 ref 5015 ref 5016 remove 5017 remove 8465 ref appTerm appTerm 8472 def 8468 ref appTerm appTerm 8473 def 8467 ref appTerm 8474 def appTerm appTerm 8467 ref appTerm 8475 def nil cons cons nil cons cons nil cons cons 2085 ref subst 64 ref 10 ref 901 ref 4964 ref 4966 ref 8473 remove 69 ref appTerm 8476 def appTerm appTerm 69 ref appTerm appTerm 739 ref 8466 remove 69 ref appTerm appTerm 8477 def 8469 remove 69 ref appTerm appTerm 8478 def appTerm appTerm 901 ref 820 ref 739 ref 4956 ref 8465 ref appTerm 8479 def 8476 ref appTerm appTerm 4956 ref 8468 ref appTerm 8480 def 8476 remove appTerm appTerm appTerm appTerm 8478 remove appTerm appTerm absTerm 8481 def 8467 ref appTerm 8482 def betaConv 729 remove 63 ref 64 ref 10 ref 901 ref 4964 ref 4966 ref 5015 remove 8472 remove 736 remove appTerm appTerm 69 ref appTerm 8483 def appTerm appTerm 69 ref appTerm appTerm 8477 remove 5062 remove appTerm 8484 def appTerm appTerm 901 ref 820 ref 739 ref 8479 ref 8483 ref appTerm appTerm 5065 remove 8483 remove appTerm appTerm appTerm appTerm 8484 remove appTerm appTerm absTerm appTerm absTerm 8485 def 8468 ref appTerm 8486 def betaConv 8207 remove 8465 ref appTerm 8487 def betaConv 8211 remove nil 8212 remove 84 ref 8487 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 8213 remove 774 ref 8465 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 749 ref 8485 ref appTerm nil cons cons 84 ref 8486 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 8485 remove nil cons cons 774 ref 8468 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 8481 ref appTerm nil cons cons 84 ref 8482 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 8481 remove nil cons cons 64 ref 8467 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 8488 def nil 119 ref 901 ref 8475 remove appTerm 8470 ref appTerm nil cons cons 121 ref 901 ref 820 ref 739 ref 8479 remove 8474 ref appTerm appTerm 8480 remove 8474 remove appTerm appTerm 8489 def appTerm 8490 def appTerm 8470 ref appTerm nil cons cons nil cons cons nil cons cons 8491 def 135 ref subst proveHyp eqMp subst eqMp nil 83 ref 8455 remove cons 84 ref 8434 ref cons nil cons cons nil cons cons 157 ref subst proveHyp 8433 remove assume eqMp eqMp nil 83 ref 8234 ref 8454 remove appTerm nil cons cons 84 ref 739 ref 8426 ref 8452 ref appTerm appTerm 4956 ref 8443 remove appTerm 8492 def 8452 ref appTerm appTerm nil cons 8493 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil 8437 remove "_13914" 3902 remove var 8494 def 5169 remove cons 8495 def "_13915" 45 ref var 8496 def 8452 remove nil cons cons "_13913" 247 ref var 8497 def 282 remove cons nil cons 8498 def cons cons cons nil cons cons nil 836 ref 901 ref 820 ref 8124 remove 8497 remove varTerm 8499 def appTerm 8500 def appTerm 8501 def appTerm 8502 def 901 ref 820 ref 4964 ref 4965 remove 8499 ref appTerm 8503 def 8496 remove varTerm 8504 def appTerm appTerm 8141 remove 8438 remove 8499 ref appTerm appTerm 8505 def 8494 remove varTerm 8506 def appTerm 8507 def appTerm 8508 def appTerm 8509 def appTerm 8510 def 739 ref 4956 ref 8135 ref 8423 remove 8499 ref appTerm appTerm 8511 def 8506 ref appTerm 8512 def appTerm 8513 def 8436 remove varTerm 8514 def appTerm appTerm 4956 ref 4957 remove 8506 ref appTerm 8515 def 8512 remove appTerm appTerm 8516 def 8514 ref appTerm appTerm 8517 def appTerm 8518 def appTerm nil cons cons 838 ref 739 ref 8513 ref 8504 ref appTerm appTerm 4956 ref 8135 remove 8441 remove 8499 ref appTerm appTerm 8519 def 8506 ref appTerm 8520 def appTerm 8521 def 8504 ref appTerm appTerm 8522 def nil cons 8523 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 8518 remove nil cons cons 838 ref 8501 ref nil cons 8524 def cons nil cons 8525 def cons nil cons cons 2144 ref subst 23 ref nil 838 ref 8500 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 8526 def nil 836 ref 8517 ref nil cons 8527 def cons 838 ref 8509 remove nil cons 8528 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 8508 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 820 ref 8517 ref appTerm refl appThm trans appThm trans appThm 8522 ref refl appThm trans 123 ref nil 917 ref 901 ref 8522 ref appTerm 8529 def 8517 ref appTerm nil cons cons 84 ref 8528 ref cons 83 ref 8524 ref cons nil cons 8530 def cons 8531 def cons nil cons cons 2174 ref subst 8510 ref refl 8532 def nil 917 ref 8527 ref cons 8533 def 84 ref 8523 ref cons 8534 def 8530 ref cons cons nil cons cons 2174 ref subst 8529 ref refl 8535 def nil 84 ref 8527 ref cons 8536 def 8530 ref cons nil cons cons 2097 ref subst 8537 def appThm trans appThm nil 917 ref 901 ref 8517 ref appTerm 8538 def 8501 ref appTerm nil cons cons 8534 remove 83 ref 8528 ref cons nil cons 8539 def cons cons nil cons cons 2174 ref subst 8535 ref nil 917 ref 8524 remove cons 8540 def 8536 ref 8539 remove cons cons nil cons cons 2174 ref subst 8541 def appThm trans trans trans appThm 8535 remove nil 8533 ref 8531 remove cons nil cons cons 2174 ref subst 8532 remove 8537 ref appThm 8541 remove trans trans appThm appThm nil 315 ref 8529 remove 8538 ref 8510 ref 8501 ref appTerm appTerm appTerm nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 8502 ref refl nil 984 ref 8528 remove cons 983 ref 8523 remove cons 2148 ref 8527 ref cons nil cons cons cons nil cons cons 3414 ref subst appThm 64 ref 10 ref 8502 ref 901 ref 8510 remove 8522 remove appTerm appTerm 8542 def 739 ref 8513 ref 69 ref appTerm appTerm 8516 ref 69 ref appTerm appTerm 8543 def appTerm appTerm appTerm 8502 ref 901 ref 820 ref 739 ref 8516 remove 8507 ref appTerm appTerm 4956 ref 8515 remove 8520 remove appTerm appTerm 8507 ref appTerm appTerm 8544 def appTerm 8545 def appTerm 8546 def 8543 ref appTerm appTerm 8547 def appTerm absTerm 8548 def 8514 ref appTerm 8549 def betaConv 452 ref 63 ref 64 ref 10 ref 8502 ref 901 ref 901 ref 820 ref 4964 ref 8503 remove 455 ref appTerm appTerm 8550 def 8507 remove appTerm appTerm appTerm 739 ref 8513 remove 455 ref appTerm appTerm 8521 remove 455 ref appTerm appTerm appTerm appTerm 8543 remove appTerm appTerm appTerm 8547 remove appTerm absTerm appTerm absTerm 8551 def 8504 ref appTerm 8552 def betaConv 3903 ref 63 ref 452 ref 63 ref 64 ref 10 ref 8502 ref 901 ref 901 ref 820 ref 8550 remove 8505 remove 3904 ref appTerm 8553 def appTerm appTerm appTerm 739 ref 4956 ref 8511 remove 3904 ref appTerm 8554 def appTerm 8555 def 455 ref appTerm appTerm 4956 ref 8519 remove 3904 ref appTerm 8556 def appTerm 455 ref appTerm appTerm appTerm appTerm 739 ref 8555 remove 69 ref appTerm appTerm 4956 ref 4958 ref 8554 remove appTerm appTerm 8557 def 69 ref appTerm appTerm 8558 def appTerm appTerm appTerm 8502 ref 901 ref 820 ref 739 ref 8557 remove 8553 ref appTerm appTerm 4956 ref 4958 ref 8556 remove appTerm appTerm 8553 remove appTerm appTerm appTerm appTerm 8558 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 8559 def 8506 ref appTerm 8560 def betaConv 248 ref 3972 ref 3903 ref 63 ref 452 ref 63 ref 64 ref 10 ref 8349 ref 901 ref 901 ref 820 ref 4968 remove 8440 ref appTerm appTerm appTerm 739 ref 8426 ref 455 ref appTerm appTerm 8492 remove 455 ref appTerm appTerm appTerm 8561 def appTerm 739 ref 8426 ref 69 ref appTerm appTerm 8429 ref 69 ref appTerm appTerm 8562 def appTerm 8563 def appTerm appTerm 8349 remove 901 ref 8448 ref appTerm 8562 ref appTerm 8564 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 8565 def 8499 ref appTerm 8566 def betaConv 3982 ref 248 ref 8358 ref 7682 ref 3903 ref 1874 ref 123 ref 23 ref 1078 ref 452 ref 452 ref 8561 ref absTerm 8567 def 455 ref appTerm betaConv 8568 def absThm appThm appThm 8448 ref refl 8569 def appThm appThm 1078 ref 452 ref 23 ref 8568 remove appThm 8569 remove appThm absThm appThm appThm nil 161 ref 8567 remove nil cons cons 84 ref 8449 ref cons nil cons cons nil cons cons 8368 ref subst eqMp appThm 63 ref 64 ref 8562 ref absTerm 8570 def appTerm 8571 def refl 8572 def appThm 123 ref 1874 ref 1078 ref 452 ref 452 ref 10 ref 8561 ref appTerm 8448 remove appTerm 8573 def absTerm 8574 def 455 ref appTerm betaConv 8575 def absThm appThm appThm 8572 ref appThm appThm 1078 ref 452 ref 1874 ref 8575 remove appThm 8572 remove appThm absThm appThm appThm nil 161 ref 8574 remove nil cons cons 84 ref 8571 remove nil cons cons nil cons cons nil cons cons 6140 ref subst eqMp 1078 ref 452 ref 123 ref 901 ref 8573 ref appTerm 8576 def refl 8577 def 1078 ref 64 ref 8570 ref 69 ref appTerm betaConv 8578 def absThm appThm appThm appThm 1078 ref 64 ref 8577 remove 8578 remove appThm absThm appThm appThm nil 1446 ref 8570 remove nil cons cons 83 ref 8573 remove nil cons cons nil cons cons nil cons cons 5308 ref subst eqMp absThm appThm trans trans absThm appThm appThm 123 ref 8358 ref 7682 ref 3903 ref 3903 ref 63 ref 452 ref 63 ref 64 ref 8576 remove 8562 ref appTerm absTerm 8579 def appTerm absTerm 8580 def appTerm absTerm 8581 def 3904 remove appTerm betaConv 8582 def absThm appThm appThm appThm 7682 ref 3903 ref 8358 ref 8582 remove appThm absThm appThm appThm nil 8037 remove 8581 remove nil cons cons 8388 ref cons nil cons cons 8389 remove subst eqMp 7682 ref 3903 ref 123 ref 8358 ref 1078 ref 452 ref 8580 ref 455 ref appTerm betaConv 8583 def absThm appThm appThm appThm 1078 ref 452 ref 8358 ref 8583 remove appThm absThm appThm appThm nil 1446 ref 8580 remove nil cons cons 8388 ref cons nil cons cons 5308 ref subst eqMp 1078 ref 452 ref 123 ref 8358 ref 1078 ref 64 ref 8579 ref 69 ref appTerm betaConv 8584 def absThm appThm appThm appThm 1078 ref 64 ref 8358 ref 8584 remove appThm absThm appThm appThm nil 1446 remove 8579 remove nil cons cons 8388 remove cons nil cons cons 5308 ref subst eqMp absThm appThm trans absThm appThm trans trans absThm appThm 3982 ref 248 ref 7682 ref 3903 ref 1078 ref 452 ref 1078 ref 64 ref 8358 remove nil 838 ref 8561 remove nil cons cons 836 ref 8449 ref cons 1605 ref 8562 remove nil cons cons nil cons cons cons nil cons cons 5138 ref subst appThm nil 8393 remove 836 ref 8563 remove nil cons cons 1605 ref 8564 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst trans absThm appThm absThm appThm absThm appThm absThm appThm trans 3982 ref 248 ref 8394 remove 7682 remove 3903 remove 1874 ref 23 ref 1078 ref 452 ref 1874 ref 932 ref 8395 remove nil 7810 remove 7840 remove nil cons cons 283 ref cons nil cons cons 8396 remove subst 5767 ref appThm nil 7742 remove 8439 remove nil cons cons 5797 ref cons nil cons cons 8397 remove subst trans 8585 def appThm 5441 remove 8440 remove refl 8586 def appThm nil 5442 remove 64 ref 8460 remove cons nil cons 8587 def cons nil cons cons 5157 ref subst trans trans appThm appThm 1550 ref nil 283 ref nil cons cons 8401 ref subst 5767 ref appThm nil 7712 ref 8424 remove nil cons cons 5797 ref cons nil cons cons 8402 ref subst trans 8588 def 2401 ref appThm nil 734 ref 8463 ref cons 8589 def 4469 ref cons nil cons cons 5149 ref subst trans appThm nil 7775 remove 7793 remove nil cons cons 283 ref cons nil cons cons 8401 remove subst 5767 ref appThm nil 7712 remove 8442 remove nil cons cons 5797 remove cons nil cons cons 8402 remove subst trans 8590 def 2401 remove appThm nil 734 ref 8457 ref cons 4469 ref cons nil cons cons 5149 ref subst trans appThm appThm absThm appThm appThm 932 ref 1550 ref 5767 ref 8588 ref appThm 8591 def 8585 ref appThm nil 5170 ref 774 ref 8463 ref cons nil cons cons nil cons cons 5172 ref subst 8592 def 8586 ref appThm nil 734 ref 8428 remove nil cons cons 8593 def 8587 ref cons nil cons cons 5149 ref subst trans trans appThm 5767 remove 8590 remove appThm 8585 remove appThm nil 5170 remove 774 ref 8457 remove cons nil cons cons nil cons cons 5172 remove subst 8586 remove appThm nil 734 remove 8444 remove nil cons cons 8587 remove cons nil cons cons 5149 ref subst trans trans appThm appThm appThm appThm 1078 ref 64 ref 1550 remove 8588 remove 172 ref appThm nil 8589 remove nil cons nil cons cons 5149 ref subst trans appThm 8591 remove 172 ref appThm 8592 remove 172 ref appThm nil 8593 remove nil cons nil cons cons 5149 ref subst trans trans appThm absThm appThm appThm absThm appThm appThm absThm appThm 7849 remove assume eqMp eqMp nil 83 ref 275 ref 8565 ref appTerm nil cons cons 84 ref 8566 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 8565 remove nil cons cons 281 ref 8499 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 3972 ref 8559 ref appTerm nil cons cons 84 ref 8560 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3993 ref 3989 ref 8559 remove nil cons cons 5796 ref 8506 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 8551 ref appTerm nil cons cons 84 ref 8552 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 8551 remove nil cons cons 64 ref 8504 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 63 ref 8548 ref appTerm nil cons cons 84 ref 8549 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 8548 remove nil cons cons 64 ref 8514 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 8594 def nil 119 ref 8502 ref 8542 remove 8517 ref appTerm appTerm nil cons cons 121 ref 8502 ref 8546 ref 8517 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 8595 def 135 ref subst proveHyp eqMp eqMp eqMp subst eqMp nil 83 ref 8493 remove cons 8447 remove cons nil cons cons 144 ref subst proveHyp nil 8461 remove 8458 remove 8464 remove cons cons nil cons cons nil 836 ref 8490 remove nil cons 8596 def cons 838 ref 8471 ref cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 8489 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 8470 remove refl appThm trans nil 84 ref 8471 remove cons 83 ref 8596 remove cons nil cons cons nil cons cons 2097 ref subst 8488 remove 8491 remove 581 ref subst proveHyp eqMp eqMp subst eqMp eqMp nil 119 ref 8449 remove cons 121 ref 8446 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 83 ref 8234 ref 8445 remove appTerm nil cons cons 84 ref 739 ref 8426 remove 8514 ref appTerm appTerm 8429 remove 8514 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 8495 remove 8498 remove cons nil cons cons nil 836 ref 8502 remove 8545 ref appTerm nil cons cons 838 ref 8527 remove cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 8545 remove nil cons 8597 def cons 8525 remove cons nil cons cons 2144 ref subst 8526 remove nil 838 ref 8544 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm trans appThm 8517 remove refl appThm trans 123 ref nil 8533 remove 84 ref 8597 ref cons 8530 remove cons 8598 def cons nil cons cons 2174 ref subst 8546 ref refl 8537 remove appThm nil 8540 remove 8536 remove 83 ref 8597 remove cons nil cons cons cons nil cons cons 2174 ref subst trans trans appThm 8538 ref refl nil 8598 remove nil cons cons 2097 ref subst appThm appThm nil 315 ref 8538 remove 8546 remove 8501 remove appTerm appTerm nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 8594 remove 8595 remove 581 ref subst proveHyp eqMp eqMp subst eqMp subst eqMp nil 119 ref 8434 remove cons 121 ref 8431 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 8432 remove 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_13925" 728 remove var 8599 def 8463 remove cons nil cons nil cons cons nil 83 ref 739 remove 4956 ref 8599 remove varTerm 8600 def appTerm 8118 remove 8600 ref appTerm 8601 def appTerm appTerm 4956 remove 4958 remove 8600 ref appTerm appTerm 8601 remove appTerm appTerm nil cons cons nil cons nil cons cons 2222 ref subst 8129 ref 8600 ref appTerm 8602 def betaConv nil 8421 remove 84 ref 8602 remove nil cons cons nil cons cons nil cons cons 144 ref subst 772 ref 773 ref 8129 remove nil cons cons 774 ref 8600 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 8420 remove cons 8603 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp 8209 remove 8210 remove 581 ref subst proveHyp nil 8603 remove 121 ref 8107 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp nil 119 ref 8093 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 8088 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 749 ref 774 ref 68 ref 8082 ref 4284 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 8083 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 ref 773 ref 8082 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 8079 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 749 remove 774 remove 68 ref 8073 ref 4284 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 8074 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 772 remove 773 remove 8073 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 8069 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 5772 remove 5773 remove 68 ref 8063 ref 5774 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 8064 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 5505 remove 5502 remove 8063 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 8060 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 5450 remove 5451 remove 68 ref 8044 ref 5452 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 8045 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 4936 remove 4930 remove 8044 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 8056 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 3972 remove 5796 remove 68 ref 8046 ref 6194 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 8047 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3993 remove 3989 remove 8046 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 8052 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 275 ref 281 remove 68 ref 8048 ref 413 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 8049 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 8048 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7981 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 7977 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 7928 remove constTerm "x" 7926 remove var 8604 def 68 ref 7968 ref 8604 remove varTerm appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7969 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7976 remove 7970 remove 7968 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7964 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 7807 remove constTerm 8605 def "x" 7805 remove var 8606 def 68 ref 7958 ref 8606 ref varTerm 8607 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7959 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7844 ref 7838 ref 7958 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7953 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 7772 remove constTerm 8608 def "x" 7770 remove var 8609 def 68 ref 7947 ref 8609 ref varTerm 8610 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7948 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7830 ref 7826 ref 7947 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7941 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 8608 ref 8609 ref 68 ref 7935 ref 8610 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7936 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7830 ref 7826 ref 7935 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7850 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 7846 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 8605 remove 8606 remove 68 ref 7820 ref 8607 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7821 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7844 remove 7838 remove 7820 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7836 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 8608 ref 8609 ref 68 ref 7822 ref 8610 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7823 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7830 ref 7826 ref 7822 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7832 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 8608 remove 8609 remove 68 ref 7824 ref 8610 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 7825 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 7830 remove 7826 remove 7824 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 7627 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 7670 remove cons 121 ref 7678 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 7624 remove cons 8611 def 121 ref 7676 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 8611 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 7622 remove thm nil 280 ref 248 ref 68 ref 60 ref 0 ref 0 ref 0 ref 708 ref 716 ref cons opType 8612 def 3 ref cons opType 8613 def 3 ref cons opType constTerm 8614 def "h" 8612 ref var 8615 def 68 ref 801 ref 6684 ref 801 ref "g" 708 remove var 8616 def 63 ref 64 ref 68 ref 63 ref 452 ref 3818 ref 195 ref 6685 ref 455 ref appTerm appTerm 8616 ref varTerm 8617 def 455 ref appTerm 8618 def appTerm 8619 def appTerm absTerm appTerm 8620 def appTerm 8621 def 195 ref 8615 ref varTerm 8622 def 6685 ref appTerm 69 ref appTerm 8623 def appTerm 8622 ref 8617 ref appTerm 69 ref appTerm 8624 def appTerm 8625 def appTerm absTerm 8626 def appTerm absTerm 8627 def appTerm absTerm 8628 def appTerm 8629 def appTerm 3297 ref 6684 ref 63 ref 64 ref 6686 ref 8623 remove appTerm 8630 def absTerm appTerm 8631 def absTerm 8632 def appTerm 8633 def appTerm absTerm 8634 def appTerm 8635 def appTerm 8636 def 252 ref appTerm 8637 def absTerm 8638 def nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 8637 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8635 ref nil cons 8639 def cons 8640 def 394 ref cons nil cons cons 8641 def 100 ref subst 8641 remove 157 ref subst 1394 remove sym 8642 def nil 119 ref 837 remove cons nil cons nil cons cons 1362 ref subst 8643 def nil 1176 ref 1315 ref 1393 remove 841 ref appTerm 8644 def absTerm 8645 def nil cons cons nil cons nil cons cons 1213 ref subst 8646 def 1315 ref nil 24 ref 8644 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1392 ref nil cons 8647 def cons 1032 ref cons nil cons cons 8648 def 100 ref subst 8648 remove 157 ref subst 1392 ref betaConv 1392 remove assume eqMp nil 83 ref 178 ref 183 ref 251 ref 1320 ref 235 ref appTerm appTerm 1320 ref 194 ref appTerm 8649 def appTerm absTerm appTerm 8650 def nil cons 8651 def cons 8652 def 1032 ref cons nil cons cons 8653 def 144 ref subst proveHyp 8653 ref 100 ref subst 8653 remove 157 ref subst 179 ref 183 ref 123 ref 187 ref 251 ref 1320 ref 193 ref appTerm appTerm 8654 def 8649 ref appTerm absTerm 8655 def 1494 remove 0 ref 4 ref 39 ref cons opType constTerm 8656 def 8655 ref appTerm 8657 def appTerm betaConv 8658 def appThm 583 ref 8655 ref appTerm 8659 def refl appThm 205 ref 287 ref 8655 ref nil cons 8660 def cons nil cons nil cons cons 5815 remove subst eqMp absThm appThm 8661 def sym nil 206 ref 183 ref 8659 ref absTerm 8662 def nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 8659 ref nil cons 8663 def cons nil cons nil cons cons 33 ref subst nil 83 ref 8663 remove cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 8659 remove appTerm 8664 def nil cons 8665 def cons 1032 ref cons nil cons cons 8666 def 100 ref subst 8666 remove 157 ref subst 8614 ref refl 8667 def 8615 ref nil 83 ref 8629 remove nil cons cons 84 ref 8633 remove nil cons cons nil cons cons nil cons cons 1910 ref subst 1874 ref nil 710 ref 8628 ref nil cons cons nil cons nil cons cons 3296 ref subst 3298 ref 6684 ref 932 ref 8628 remove 6685 ref appTerm betaConv appThm nil 710 ref 8627 ref nil cons cons nil cons nil cons cons 3296 remove subst 3298 ref 8616 ref 932 ref 8627 remove 8617 ref appTerm betaConv appThm nil 150 ref 8626 ref nil cons cons nil cons nil cons cons 1962 ref subst 1022 ref 64 ref 932 ref 8626 remove 69 ref appTerm betaConv appThm nil 83 ref 8620 remove nil cons cons 84 ref 8625 ref nil cons cons nil cons cons nil cons cons 1988 ref subst 23 ref 1078 ref 452 ref nil 4522 ref 84 ref 8619 ref nil cons cons nil cons cons nil cons cons 1910 ref subst absThm appThm appThm 820 ref 8625 remove appTerm 8668 def refl appThm trans trans absThm appThm trans trans absThm appThm trans trans absThm appThm trans appThm 3298 ref 6684 ref 1078 ref 64 ref 8630 remove refl absThm appThm 8669 def absThm appThm appThm trans absThm appThm 8667 ref 8615 ref 123 ref 1874 ref 3298 ref 6684 ref 6684 ref 3297 ref 8616 ref 331 ref 64 ref 10 ref 63 ref 452 ref 4541 ref 8619 ref appTerm absTerm appTerm appTerm 8668 remove appTerm 8670 def absTerm 8671 def appTerm absTerm 8672 def appTerm absTerm 8673 def 6685 ref appTerm betaConv 8674 def absThm appThm appThm 3298 ref 6684 ref 8632 ref 6685 ref appTerm betaConv 8675 def absThm appThm appThm appThm 3298 ref 6684 ref 1874 ref 8674 remove appThm 8675 remove appThm absThm appThm appThm nil 3341 ref 8673 remove nil cons cons 3343 remove 8632 remove nil cons cons nil cons cons nil cons cons 3351 remove subst eqMp 3298 ref 6684 ref 123 ref 1874 ref 3298 ref 8616 ref 8672 ref 8617 ref appTerm betaConv 8676 def absThm appThm appThm 8669 ref appThm appThm 3298 ref 8616 ref 1874 ref 8676 remove appThm 8669 ref appThm absThm appThm appThm nil 3341 remove 8672 remove nil cons cons 84 ref 8631 ref nil cons cons nil cons 8677 def cons nil cons cons 718 remove 2027 ref subst subst eqMp 3298 ref 8616 ref 123 ref 1874 ref 1022 ref 64 ref 8671 ref 69 ref appTerm betaConv 8678 def absThm appThm appThm 8669 ref appThm appThm 1022 ref 64 ref 1874 ref 8678 remove appThm 8669 remove appThm absThm appThm appThm nil 161 ref 8671 remove nil cons cons 8677 remove cons nil cons cons 2027 ref subst eqMp absThm appThm trans absThm appThm trans absThm appThm 123 ref 8667 ref 8615 ref 3298 ref 6684 ref 8615 ref 6684 ref 3297 ref 8616 ref 331 ref 64 ref 901 ref 8670 remove appTerm 8631 remove appTerm absTerm appTerm absTerm appTerm absTerm 8679 def absTerm 8680 def 8622 ref appTerm betaConv 8681 def 6685 ref refl 8682 def appThm 8679 ref 6685 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 8612 ref 716 ref cons opType 8683 def 3 ref cons opType 8684 def 3 ref cons opType 8685 def constTerm 8686 def refl 8687 def "f" 8683 ref var 8688 def 8667 ref 8615 ref 8681 remove 8688 ref varTerm 8689 def 8622 ref appTerm 8690 def refl appThm 8679 remove 8690 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 8612 ref 709 remove nil cons cons opType var 8691 def 8680 remove nil cons cons nil cons nil cons cons "B" 716 remove cons "A" 8612 ref nil cons cons nil cons 8692 def cons 43 ref cons 1121 ref subst 8693 def subst eqMp 8687 ref 8688 ref 123 ref 8667 ref 8615 ref 3298 ref 8616 ref 8615 ref 8616 ref 331 ref 64 ref 901 ref 10 ref 63 ref 452 ref 4541 ref 195 ref 8690 ref 455 ref appTerm appTerm 8694 def 8618 remove appTerm appTerm absTerm appTerm appTerm 820 ref 195 ref 8622 ref 8690 ref appTerm 8695 def 69 ref appTerm 8696 def appTerm 8697 def 8624 remove appTerm appTerm appTerm appTerm 63 ref 64 ref 195 ref 8690 remove 69 ref appTerm appTerm 8696 remove appTerm absTerm appTerm 8698 def appTerm absTerm appTerm absTerm 8699 def absTerm 8700 def 8622 ref appTerm betaConv 8701 def 8617 ref refl appThm 8699 ref 8617 ref appTerm betaConv trans absThm appThm absThm appThm appThm 8687 ref "f'" 8683 ref var 8702 def 8667 ref 8615 ref 8701 remove 8702 ref varTerm 8703 def 8622 ref appTerm 8704 def refl appThm 8699 remove 8704 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 8691 remove 8700 remove nil cons cons nil cons nil cons cons 8693 remove subst eqMp 8687 remove 8702 ref 123 ref 8667 ref 8615 ref 1022 ref 64 ref 8615 ref 64 ref 901 ref 10 ref 63 ref 452 ref 4541 remove 8694 remove 8704 ref 455 ref appTerm 8705 def appTerm 8706 def appTerm absTerm appTerm appTerm 820 ref 8697 remove 8622 ref 8704 remove appTerm 8707 def 69 ref appTerm appTerm appTerm appTerm appTerm 8698 ref appTerm absTerm 8708 def absTerm 8709 def 8622 ref appTerm betaConv 8710 def 172 ref appThm 8708 ref 69 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 8612 ref 353 ref cons opType 8711 def 3 ref cons opType 8712 def 3 ref cons opType 8713 def constTerm 8714 def refl "f" 8711 ref var 8715 def 8667 remove 8615 ref 8710 remove 8715 ref varTerm 8622 ref appTerm 8716 def refl appThm 8708 remove 8716 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 8612 ref 246 remove cons opType var 8709 remove nil cons cons nil cons nil cons cons 1115 remove 8692 ref cons 43 ref cons 1121 ref subst subst eqMp absThm appThm trans absThm appThm trans trans trans 8635 remove assume eqMp nil 83 ref 8686 ref 8688 ref 8686 ref 8702 ref 8714 ref 8715 ref 8614 ref 8615 ref 901 ref 10 ref 63 ref 452 ref 901 ref 820 ref 3816 ref 8716 ref appTerm appTerm appTerm 8717 def 8706 ref appTerm absTerm appTerm appTerm 820 ref 195 ref 8695 ref 8716 ref appTerm appTerm 8707 ref 8716 ref appTerm 8718 def appTerm appTerm appTerm appTerm 8698 ref appTerm absTerm appTerm absTerm 8719 def appTerm 8720 def absTerm 8721 def appTerm 8722 def absTerm 8723 def appTerm 8724 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp 8725 def nil "P" 8684 remove var 8726 def 8688 ref 68 ref 8723 ref 8689 remove appTerm 8727 def appTerm 841 ref appTerm 8728 def absTerm nil cons cons nil cons nil cons cons "A" 8683 ref nil cons cons nil cons 8729 def 43 ref cons 222 ref subst 8730 def subst 8731 def 8688 remove nil 24 ref 8728 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8727 ref nil cons 8732 def cons 1032 ref cons nil cons cons 8733 def 100 ref subst 8733 remove 157 ref subst 8727 ref betaConv 8727 remove assume eqMp nil 83 ref 8722 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 8726 ref 8702 ref 68 ref 8721 ref 8703 remove appTerm 8734 def appTerm 841 ref appTerm 8735 def absTerm nil cons cons nil cons nil cons cons 8730 ref subst 8702 ref nil 24 ref 8735 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8734 ref nil cons 8736 def cons 1032 ref cons nil cons cons 8737 def 100 ref subst 8737 remove 157 ref subst 8734 ref betaConv 8734 remove assume eqMp nil 83 ref 8720 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 8712 remove var 8738 def "f''" 8711 ref var 8739 def 68 ref 8719 ref 8739 ref varTerm 8740 def appTerm 8741 def appTerm 841 ref appTerm 8742 def absTerm nil cons cons nil cons nil cons cons "A" 8711 ref nil cons cons nil cons 8743 def 43 ref cons 222 ref subst 8744 def subst 8739 remove nil 24 ref 8742 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8741 ref nil cons 8745 def cons 1032 ref cons nil cons cons 8746 def 100 ref subst 8746 remove 157 ref subst 8741 ref betaConv 8741 remove assume eqMp nil 83 ref 8614 ref 8615 ref 901 ref 10 ref 63 ref 452 ref 901 ref 820 ref 3816 ref 8740 remove 8622 ref appTerm 8747 def appTerm appTerm appTerm 8706 remove appTerm absTerm appTerm appTerm 820 ref 195 ref 8695 remove 8747 ref appTerm appTerm 8707 remove 8747 remove appTerm appTerm appTerm appTerm appTerm 8698 remove appTerm absTerm appTerm nil cons 8748 def cons 1032 ref cons nil cons cons 8749 def 144 ref subst proveHyp 8749 ref 100 ref subst 8749 remove 157 ref subst nil "_13691" 1 ref var 8750 def 209 ref cons nil cons nil cons cons 183 ref 4964 ref 4966 ref 7200 ref 1320 ref appTerm 8751 def 4955 ref 0 ref 196 ref 586 ref cons opType constTerm 8752 def 197 ref appTerm 194 ref appTerm 8753 def appTerm 8754 def appTerm 8755 def appTerm 8751 ref 194 ref appTerm 8756 def appTerm 8757 def absTerm 8758 def 8750 remove varTerm 8759 def appTerm 8760 def betaConv 179 ref 183 ref 1222 ref 1320 ref refl 8761 def nil 2330 ref 197 ref nil cons cons 210 ref cons nil cons cons 44 remove 5149 ref subst 8762 def subst appThm nil 825 ref 1320 ref nil cons 8763 def cons 8764 def 180 ref 8753 remove nil cons 8765 def cons nil cons cons nil cons cons 7283 ref subst trans appThm nil 8764 ref 210 ref cons nil cons cons 7283 ref subst 8766 def appThm nil 5154 ref 64 ref 8754 remove nil cons cons nil cons cons nil cons cons 5156 ref subst 8756 ref refl 8767 def appThm nil 784 ref 8755 remove nil cons cons 64 ref 8756 ref nil cons cons nil cons 8768 def cons nil cons cons 5157 ref subst trans trans absThm appThm 8650 ref assume eqMp nil 83 ref 178 ref 8758 ref appTerm nil cons cons 84 ref 8760 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 8758 remove nil cons cons 180 ref 8759 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst nil 83 ref 8757 remove nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_13692" 1 ref var 8769 def 8765 remove cons nil cons nil cons cons nil 83 ref 4964 ref 4966 ref 8751 ref 8769 remove varTerm 8770 def appTerm appTerm appTerm 8756 ref appTerm nil cons cons nil cons nil cons cons 2222 ref subst 187 ref 820 ref 4964 ref 4966 ref 8751 ref 193 ref appTerm 8771 def appTerm 8772 def appTerm 8756 ref appTerm appTerm absTerm 8773 def 8770 ref appTerm 8774 def betaConv 179 ref 187 ref 932 ref 1222 ref nil 8764 ref 208 ref cons nil cons cons 7283 ref subst appThm 8766 ref appThm nil 5154 ref 64 ref 8771 remove nil cons cons nil cons cons nil cons cons 5156 ref subst 8767 remove appThm nil 784 ref 8772 remove nil cons cons 8768 ref cons nil cons cons 5157 ref subst trans trans appThm absThm appThm nil 206 ref 8660 remove cons nil cons nil cons 8775 def cons 2322 ref subst 179 ref 187 ref 932 ref 8655 ref 193 ref appTerm betaConv 8776 def appThm absThm appThm trans 8664 remove assume eqMp eqMp nil 83 ref 178 ref 8773 ref appTerm nil cons cons 84 ref 8774 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 8773 remove nil cons cons 180 ref 8770 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 8748 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 8745 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 8713 remove constTerm 8777 def "x" 8711 ref var 8778 def 68 ref 8719 ref 8778 ref varTerm 8779 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 8720 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 8743 ref 8738 ref 8719 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 8736 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 8685 remove constTerm 8780 def "x" 8683 ref var 8781 def 68 ref 8721 ref 8781 ref varTerm 8782 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 8722 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 8729 ref 8726 ref 8721 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 8732 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 8780 ref 8781 ref 68 ref 8723 ref 8782 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 8724 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst 8783 def proveHyp 8729 ref 8726 ref 8723 ref nil cons cons 1390 ref cons nil cons cons 442 ref subst 8784 def eqMp eqMp eqMp nil 119 ref 8665 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp 8634 ref 6684 ref 255 ref 1397 remove 0 ref 2 ref 587 remove nil cons cons opType constTerm 8785 def 583 ref 464 ref 759 remove 1320 ref 466 ref appTerm 8786 def appTerm absTerm appTerm appTerm 8787 def 197 ref 6685 ref 1320 ref 8656 ref 187 ref 8654 ref 256 ref appTerm absTerm appTerm appTerm 8788 def appTerm appTerm appTerm 621 ref appTerm absTerm 8789 def absTerm 8790 def appTerm 8791 def betaConv nil 8640 ref 84 ref 8791 remove nil cons cons nil cons cons nil cons cons 144 ref subst 8692 remove "P" 8613 remove var 8634 remove nil cons cons "x" 8612 ref var 8790 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 801 ref 6684 ref 801 ref 8616 ref 63 ref 64 ref 8621 ref 195 ref 8790 ref 6685 ref appTerm 8792 def 69 ref appTerm 8793 def appTerm 8790 remove 8617 ref appTerm 8794 def 69 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm 8795 def appTerm 3297 ref 6684 ref 63 ref 64 ref 6686 ref 8793 remove appTerm absTerm appTerm absTerm appTerm 8796 def appTerm nil cons 8797 def cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 24 ref 8797 remove cons nil cons nil cons cons 1386 ref subst nil 983 ref 8796 remove nil cons cons 984 ref 8795 remove nil cons cons nil cons cons nil cons cons 998 remove subst trans 23 ref 3246 ref 6684 ref 3246 ref 8616 ref 1078 ref 64 ref 8621 ref refl 7284 ref 8792 remove betaConv 172 ref appThm 8789 remove 69 ref appTerm betaConv trans 8798 def appThm 8794 remove betaConv 172 ref appThm 255 ref 8787 remove 197 ref 8617 ref 8788 remove appTerm appTerm appTerm 621 ref appTerm absTerm 69 ref appTerm betaConv trans appThm appThm absThm appThm absThm appThm absThm appThm appThm 932 ref 3298 remove 6684 ref 1078 ref 64 ref 6686 ref refl 8798 remove appThm absThm appThm absThm appThm appThm appThm trans sym nil 710 ref 6684 ref 801 ref 8616 ref 63 ref 64 ref 8621 remove 195 ref 8785 ref 583 ref 464 ref 637 remove 8786 ref appTerm absTerm appTerm appTerm 8799 def 197 ref 6685 ref 1320 ref 8656 ref 187 ref 8654 ref 69 ref appTerm absTerm appTerm appTerm 8800 def appTerm appTerm appTerm 621 ref appTerm 8801 def appTerm 8799 remove 197 ref 8617 ref 8800 remove appTerm appTerm appTerm 621 ref appTerm appTerm appTerm absTerm appTerm 8802 def absTerm 8803 def appTerm 8804 def absTerm 8805 def nil cons cons nil cons nil cons cons 719 ref subst 6684 ref nil 24 ref 8804 remove nil cons cons nil cons nil cons cons 33 ref subst nil 710 ref 8803 remove nil cons cons nil cons nil cons cons 719 ref subst 8616 remove nil 24 ref 8802 remove nil cons cons nil cons nil cons cons 33 ref subst nil 150 ref 789 ref 68 ref 63 ref 452 ref 4450 remove 8619 ref appTerm absTerm appTerm 8806 def appTerm 195 ref 8785 ref 583 ref 464 ref 531 ref 790 ref appTerm 8786 ref appTerm 8807 def absTerm 8808 def appTerm 8809 def appTerm 8810 def 197 ref 6685 ref 1320 ref 8656 ref 187 ref 8654 ref 790 ref appTerm absTerm appTerm appTerm 8811 def appTerm appTerm 8812 def appTerm 621 ref appTerm 8813 def appTerm 8810 remove 197 ref 8617 ref 8811 remove appTerm appTerm 8814 def appTerm 621 ref appTerm 8815 def appTerm 8816 def appTerm 8817 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 789 remove nil 24 ref 8817 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8806 ref nil cons 8818 def cons 84 ref 8816 remove nil cons 8819 def cons nil cons cons nil cons cons 8820 def 100 ref subst 8820 remove 157 ref subst 123 ref "_13728" 1 ref var 8821 def 195 ref 8821 remove varTerm appTerm 8815 ref appTerm absTerm 8822 def 8813 remove appTerm betaConv appThm 23 ref 68 ref 8809 ref appTerm 8823 def refl 8822 ref 8812 ref appTerm betaConv appThm appThm 68 ref 820 ref 8809 ref appTerm 8824 def appTerm 8825 def refl 8822 ref 621 ref appTerm betaConv appThm appThm appThm nil "_485" 1 ref var 622 ref cons "_482" 1 ref var 8812 ref nil cons cons 1601 remove 8809 ref nil cons 8826 def cons nil cons cons cons nil cons cons nil "_484" 4 ref var 8822 remove nil cons cons nil cons nil cons cons 221 ref 1621 remove subst subst subst eqMp sym nil 83 ref 8826 ref cons 8827 def 84 ref 195 ref 8812 remove appTerm 8828 def 8815 ref appTerm 8829 def nil cons 8830 def cons nil cons cons nil cons cons 8831 def 100 ref subst 8831 remove 157 ref subst 27 ref "_13730" 2 ref var 8832 def 8828 ref 8785 ref 8832 remove varTerm appTerm 8814 ref appTerm 621 ref appTerm appTerm absTerm 8833 def 8809 ref appTerm 8834 def appTerm refl 8833 ref 30 ref appTerm betaConv appThm 123 ref 8834 remove betaConv appThm 8828 ref 8785 ref 30 ref appTerm 8814 ref appTerm 621 ref appTerm appTerm refl appThm trans 8833 remove refl nil 24 ref 8826 ref cons nil cons nil cons cons 33 ref subst 8809 ref assume eqMp appThm eqMp sym 8828 ref refl nil "t2" 1 ref var 622 ref cons 8835 def "t1" 1 ref var 8836 def 8814 ref nil cons cons nil cons cons nil cons cons 8837 def 221 ref 2567 remove subst 8838 def subst appThm sym nil 8827 remove 84 ref 8828 remove 8814 ref appTerm 8839 def nil cons 8840 def cons nil cons 8841 def cons nil cons cons 144 ref subst nil 206 ref 464 ref 68 ref 8808 ref 466 ref appTerm 8842 def appTerm 8839 ref appTerm 8843 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 464 ref nil 24 ref 8843 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8842 ref nil cons 8844 def cons 8841 ref cons nil cons cons 8845 def 100 ref subst 8845 remove 157 ref subst 8842 ref betaConv 8842 remove assume eqMp nil 83 ref 8807 ref nil cons 8846 def cons 8841 remove cons nil cons cons 8847 def 144 ref subst proveHyp 8847 ref 100 ref subst 8847 remove 157 ref subst 27 ref "_13734" 45 ref var 8848 def 195 ref 197 ref 6685 ref 1320 ref 8656 ref 187 ref 8654 ref 8848 remove varTerm appTerm absTerm appTerm appTerm 8849 def appTerm appTerm appTerm 197 ref 8617 ref 8849 remove appTerm appTerm appTerm absTerm 8850 def 790 ref appTerm 8851 def appTerm refl 8850 ref 8786 ref appTerm betaConv appThm 123 ref 8851 remove betaConv appThm 195 ref 197 ref 6685 ref 1320 ref 8656 remove 187 ref 8654 remove 8786 ref appTerm absTerm appTerm appTerm 8852 def appTerm 8853 def appTerm appTerm 197 ref 8617 remove 8852 ref appTerm 8854 def appTerm appTerm refl appThm trans 8850 remove refl 8807 remove assume 8855 def appThm eqMp sym 631 ref nil 183 ref 466 ref nil cons cons nil cons nil cons cons 183 ref 251 ref 1320 ref 8657 ref appTerm 8856 def appTerm 8649 ref appTerm 8857 def absTerm 8858 def 194 ref appTerm 8859 def betaConv nil 83 ref 178 ref 8858 ref appTerm 8860 def nil cons cons 8861 def 84 ref 8859 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 8858 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp subst nil 83 ref 251 ref 8852 ref appTerm 8786 ref appTerm nil cons cons 84 ref 195 ref 8853 remove appTerm 8854 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 452 ref 8852 remove nil cons cons nil cons nil cons cons 452 ref 68 ref 3816 ref 8786 ref appTerm appTerm 8619 ref appTerm absTerm 8862 def 455 ref appTerm 8863 def betaConv 27 ref "_13742" 45 ref var 8864 def 63 ref 452 ref 68 ref 3816 ref 8864 remove varTerm appTerm appTerm 8619 remove appTerm absTerm appTerm absTerm 8865 def 790 remove appTerm 8866 def appTerm refl 8865 ref 8786 ref appTerm betaConv appThm 123 ref 8866 remove betaConv appThm 63 ref 8862 ref appTerm 8867 def refl appThm trans 8865 remove refl 8855 remove appThm eqMp 8806 remove assume eqMp nil 83 ref 8867 remove nil cons cons 84 ref 8863 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 8862 remove nil cons cons 4469 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp appThm eqMp eqMp nil 119 ref 8846 remove cons 121 ref 8840 remove cons nil cons 8868 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 8844 remove cons 8868 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 8808 ref 188 ref appTerm appTerm 8839 ref appTerm absTerm appTerm nil cons cons 84 ref 8823 ref 8839 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 8808 remove nil cons cons 8868 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp eqMp nil 119 ref 8826 remove cons 8869 def 121 ref 8830 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 8823 remove 8829 remove appTerm nil cons cons 84 ref 8825 remove 195 ref 621 ref appTerm 8870 def 8815 remove appTerm 8871 def appTerm nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 83 ref 8824 remove nil cons 8872 def cons 8873 def 84 ref 8871 remove nil cons 8874 def cons nil cons cons nil cons cons 8875 def 100 ref subst 8875 remove 157 ref subst 27 ref "_13732" 2 ref var 8876 def 8870 ref 8785 ref 8876 remove varTerm appTerm 8814 ref appTerm 621 ref appTerm appTerm absTerm 8877 def 8809 ref appTerm 8878 def appTerm refl 8877 ref 841 ref appTerm betaConv appThm 123 ref 8878 remove betaConv appThm 8870 ref 8785 ref 841 ref appTerm 8814 remove appTerm 621 ref appTerm appTerm refl appThm trans 8877 remove refl nil 8873 remove 84 ref 27 ref 8809 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst nil 8869 remove nil cons nil cons cons 1042 ref subst eqMp appThm eqMp sym 8870 remove refl 8837 remove 221 ref 1591 remove subst subst appThm nil 1354 remove nil cons cons 639 ref subst trans sym 32 ref eqMp eqMp eqMp nil 119 ref 8872 remove cons 121 ref 8874 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 119 ref 8818 remove cons 121 ref 8819 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 83 ref 801 ref 8805 remove appTerm nil cons cons 84 ref 820 ref 3297 remove 6684 ref 63 ref 64 ref 6686 remove 8801 remove appTerm absTerm 8879 def appTerm 8880 def absTerm 8881 def appTerm 8882 def appTerm nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 119 ref 8882 ref nil cons cons nil cons nil cons cons 1362 ref subst nil 710 ref 6684 ref 68 ref 8881 ref 6685 ref appTerm 8883 def appTerm 841 ref appTerm 8884 def absTerm nil cons cons nil cons nil cons cons 719 ref subst 6684 ref nil 24 ref 8884 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8883 ref nil cons 8885 def cons 1032 ref cons nil cons cons 8886 def 100 ref subst 8886 remove 157 ref subst 8883 ref betaConv 8883 remove assume eqMp nil 83 ref 8880 remove nil cons 8887 def cons 8888 def 1032 ref cons nil cons cons 8889 def 144 ref subst proveHyp 8889 ref 100 ref subst 8889 remove 157 ref subst nil 206 ref 183 ref 195 ref 6685 ref 8649 ref appTerm 8890 def appTerm 8891 def 8785 ref 583 ref 464 ref 531 ref 8649 ref appTerm 8892 def 8786 remove appTerm 8893 def absTerm 8894 def appTerm 8895 def appTerm 197 ref 6685 ref 8856 remove appTerm 8896 def appTerm 8897 def appTerm 621 ref appTerm appTerm 8898 def absTerm 8899 def nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 8898 remove nil cons cons nil cons nil cons cons 33 ref subst 8879 ref 8649 ref appTerm 8900 def betaConv nil 8888 remove 84 ref 8900 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 8879 remove nil cons cons 64 ref 8649 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp absThm eqMp nil 83 ref 178 ref 8899 remove appTerm nil cons 8901 def cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 183 ref 8895 ref absTerm 8902 def nil cons cons 8903 def nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 8895 ref nil cons 8904 def cons nil cons nil cons cons 33 ref subst 8905 def nil 83 ref 8904 remove cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 8895 remove appTerm 8906 def nil cons 8907 def cons 1032 ref cons nil cons cons 8908 def 100 ref subst 8908 remove 157 ref subst 8761 ref 1146 ref appThm 8909 def nil 83 ref 8892 ref 8649 ref appTerm nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_13746" 1 ref var 8910 def 209 ref cons nil cons nil cons cons nil 83 ref 8892 remove 1320 ref 8910 remove varTerm 8911 def appTerm appTerm nil cons cons nil cons nil cons cons 2222 ref subst 464 ref 820 ref 8893 remove appTerm absTerm 8912 def 8911 ref appTerm 8913 def betaConv nil 206 ref 8894 ref nil cons cons nil cons nil cons cons 2322 ref subst 179 ref 464 remove 932 ref 8894 remove 466 remove appTerm betaConv appThm absThm appThm trans 8906 remove assume eqMp nil 83 ref 178 ref 8912 ref appTerm nil cons cons 84 ref 8913 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 8912 remove nil cons cons 180 ref 8911 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 8907 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp nil 24 ref 8901 remove cons nil cons nil cons cons 1386 ref subst 932 ref 179 ref 183 ref 8891 ref refl 8914 def 8785 remove refl 8905 remove 8902 ref 194 ref appTerm 8915 def betaConv nil 83 ref 178 ref 8902 remove appTerm nil cons cons 84 ref 8915 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 8903 remove 210 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp appThm 8897 ref refl appThm 621 ref refl appThm nil 8835 remove 8836 remove 8897 ref nil cons cons nil cons cons nil cons cons 8838 remove subst trans appThm absThm appThm appThm trans sym nil 119 ref 178 ref 183 ref 8891 ref 8897 remove appTerm absTerm 8916 def appTerm 8917 def nil cons 8918 def cons 8919 def nil cons nil cons cons 1362 ref subst nil 83 ref 8918 remove cons 8920 def 1032 ref cons nil cons cons 8921 def 100 ref subst 8921 remove 157 ref subst nil 206 ref 183 ref 583 ref 613 ref 22 ref 6685 ref 1320 ref 614 ref appTerm 8922 def appTerm appTerm 8890 ref appTerm absTerm 8923 def appTerm 8924 def absTerm 8925 def nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 8924 remove nil cons cons nil cons nil cons cons 33 ref subst 8923 ref 8657 ref appTerm betaConv sym 22 ref 8896 ref appTerm 8926 def refl 8916 ref 194 ref appTerm 8927 def betaConv nil 8920 ref 84 ref 8927 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 8916 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp appThm sym nil 183 ref 8896 ref nil cons 8928 def cons 187 ref 8928 ref cons nil cons cons nil cons cons 2263 ref 194 ref appTerm 8929 def betaConv 2265 ref 193 ref appTerm 8930 def betaConv 2268 remove nil 83 ref 2267 remove cons 84 ref 8930 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2265 remove nil cons cons 208 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2264 remove nil cons cons 84 ref 8929 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 2263 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp 8931 def subst 1874 ref nil 180 ref 8928 remove cons nil cons nil cons cons 639 remove subst appThm 8926 remove 8896 remove appTerm 8932 def refl appThm nil 24 ref 8932 remove nil cons cons nil cons nil cons cons 1880 ref subst trans trans sym 32 ref eqMp eqMp eqMp 205 ref 206 ref 8923 ref nil cons cons 180 ref 8657 ref nil cons cons nil cons cons nil cons cons 360 ref subst proveHyp eqMp absThm eqMp 287 ref 27 ref 2593 remove appTerm 583 ref 183 ref 10 ref 293 remove appTerm 178 ref 187 ref 290 ref 820 ref 292 remove appTerm appTerm absTerm appTerm appTerm absTerm appTerm appTerm absTerm 8933 def 183 ref 583 ref 7374 ref 585 ref 6685 ref 1320 ref 7376 ref appTerm appTerm 8934 def appTerm 8935 def absTerm 8936 def appTerm 8937 def absTerm 8938 def appTerm 8939 def betaConv nil 285 remove 8933 ref appTerm 8940 def axiom nil 83 ref 8940 remove nil cons cons 84 ref 8939 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 300 remove 301 remove 8933 remove nil cons cons 302 remove 8938 ref nil cons 8941 def cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 27 ref 583 ref 183 ref 8938 ref 194 ref appTerm 8942 def absTerm appTerm appTerm 583 ref 183 ref 10 ref 8942 ref appTerm 178 ref 187 ref 290 ref 820 ref 8938 ref 193 ref appTerm 8943 def appTerm appTerm absTerm appTerm appTerm absTerm appTerm appTerm nil cons 8944 def cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 24 ref 8944 remove cons nil cons nil cons cons 1386 ref subst 932 ref 123 ref 1345 ref 183 ref 8942 remove betaConv 8945 def absThm appThm 8946 def appThm 1345 ref 183 ref 23 ref 8945 ref appThm 8947 def 179 ref 187 ref 1559 remove 932 ref 8943 remove betaConv appThm appThm absThm appThm appThm absThm appThm appThm appThm trans sym nil 119 ref 27 ref 583 ref 8938 remove appTerm 8948 def appTerm 583 ref 183 ref 10 ref 8937 ref appTerm 178 ref 187 ref 290 ref 820 ref 583 ref 7374 ref 2261 ref 8934 ref appTerm 8949 def absTerm 8950 def appTerm 8951 def appTerm 8952 def appTerm absTerm 8953 def appTerm 8954 def appTerm absTerm 8955 def appTerm 8956 def appTerm 8957 def nil cons 8958 def cons 8959 def nil cons nil cons cons 1362 remove subst 8960 def nil 83 ref 178 ref 8925 remove appTerm 8961 def nil cons 8962 def cons 8963 def 84 ref 68 ref 8957 ref appTerm 841 ref appTerm 8964 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 8920 remove 84 ref 68 ref 8961 ref appTerm 8965 def 8964 remove appTerm 8966 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 8861 remove 84 ref 68 ref 8917 remove appTerm 8966 ref appTerm 8967 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 8652 ref 84 ref 68 ref 8860 remove appTerm 8967 ref appTerm 8968 def nil cons cons nil cons cons nil cons cons 144 ref subst nil 8640 ref 84 ref 68 ref 8650 remove appTerm 8969 def 8968 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst 8636 ref refl 8970 def 8969 ref refl 8971 def 182 ref 8661 remove appThm 8967 ref refl appThm appThm appThm sym 248 ref 60 ref 0 ref 0 ref 0 ref 247 remove 0 ref 821 ref 586 remove cons opType 8972 def nil cons cons opType 8973 def 3 ref cons opType 8974 def 3 ref cons opType constTerm 8975 def "_13749" 8973 ref var 8976 def 68 ref 275 ref 248 ref 1319 ref 1315 ref 178 ref 183 ref 178 ref 180 ref 68 ref 251 ref 1320 ref 188 ref appTerm appTerm 8649 ref appTerm appTerm 8977 def 251 ref 1320 ref 8976 ref varTerm 8978 def 251 ref appTerm 8979 def 1320 ref appTerm 8980 def 194 ref appTerm 8981 def appTerm 8982 def appTerm 8649 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm 8983 def appTerm 8984 def 8636 ref 8969 ref 68 ref 178 ref 8662 remove appTerm 8985 def appTerm 8986 def 68 ref 178 ref 183 ref 8891 remove 197 remove 6685 ref 8982 remove appTerm appTerm appTerm absTerm appTerm 8987 def appTerm 8988 def 8966 ref appTerm appTerm appTerm appTerm appTerm absTerm 8989 def appTerm 8990 def absTerm 8991 def 251 ref appTerm 8992 def betaConv 6684 ref 275 ref 8991 ref appTerm 8993 def absTerm 8994 def 6685 ref appTerm 8995 def betaConv 1315 ref 801 ref 8994 ref appTerm 8996 def absTerm 8997 def 1320 ref appTerm 8998 def betaConv 3492 ref 1315 ref 3246 remove 6684 ref 3982 ref 248 ref 8975 ref refl 8976 ref 8984 ref refl 8970 ref 8971 ref 8986 ref refl 8999 def 8988 ref refl 8965 ref refl 8960 ref appThm appThm appThm appThm appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm sym nil 1176 ref 1315 ref 801 ref 6684 ref 275 ref 248 ref 8975 remove 8976 ref 8984 remove 8636 ref 8969 ref 8986 ref 8988 remove 8965 remove 820 ref 8957 ref appTerm 9000 def appTerm 9001 def appTerm 9002 def appTerm 9003 def appTerm 9004 def appTerm 9005 def appTerm 9006 def absTerm 9007 def appTerm 9008 def absTerm 9009 def appTerm 9010 def absTerm 9011 def appTerm 9012 def absTerm nil cons cons nil cons nil cons cons 1213 ref subst 1315 ref nil 24 ref 9012 remove nil cons cons nil cons nil cons cons 33 ref subst nil 710 ref 9011 remove nil cons cons nil cons nil cons cons 719 remove subst 6684 remove nil 24 ref 9010 remove nil cons cons nil cons nil cons cons 33 ref subst nil 280 ref 9009 remove nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 9008 remove nil cons cons nil cons nil cons cons 33 ref subst nil "P" 8974 ref var 9013 def 9007 remove nil cons cons nil cons nil cons cons "A" 8973 ref nil cons cons nil cons 9014 def 43 ref cons 222 ref subst subst 8976 ref nil 24 ref 9006 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 8983 remove nil cons 9015 def cons 84 ref 9005 remove nil cons 9016 def cons nil cons cons nil cons cons 9017 def 100 ref subst 9017 remove 157 ref subst nil 8640 remove 84 ref 9004 remove nil cons 9018 def cons nil cons cons nil cons cons 9019 def 100 ref subst 9019 remove 157 ref subst nil 8652 remove 84 ref 9003 remove nil cons 9020 def cons nil cons cons nil cons cons 9021 def 100 ref subst 9021 remove 157 ref subst nil 83 ref 8985 ref nil cons 9022 def cons 84 ref 9002 remove nil cons 9023 def cons nil cons cons nil cons cons 9024 def 100 ref subst 9024 remove 157 ref subst nil 83 ref 8987 remove nil cons 9025 def cons 84 ref 9001 remove nil cons 9026 def cons nil cons cons nil cons cons 9027 def 100 ref subst 9027 remove 157 ref subst nil 8963 remove 84 ref 9000 remove nil cons 9028 def cons nil cons cons nil cons cons 9029 def 100 ref subst 9029 remove 157 ref subst 8960 remove nil 83 ref 8958 remove cons 1032 ref cons nil cons cons 9030 def 100 ref subst 9030 remove 157 ref subst nil 83 ref 8948 remove nil cons cons 84 ref 8956 remove nil cons cons nil cons cons nil cons cons nil 1856 ref 84 ref 3033 remove 901 ref 91 remove appTerm 2626 remove 1911 ref appTerm 9031 def appTerm appTerm nil cons 9032 def cons nil cons 9033 def cons nil cons cons 9034 def 100 ref subst 9034 remove 157 ref subst 27 ref "_550" 2 ref var 9035 def 27 ref 27 ref 9035 remove varTerm 9036 def appTerm 87 ref appTerm appTerm 901 ref 10 ref 9036 ref appTerm 87 ref appTerm appTerm 10 ref 820 ref 9036 remove appTerm appTerm 1911 ref appTerm appTerm appTerm absTerm 9037 def 85 ref appTerm 9038 def appTerm refl 9039 def 9037 ref 841 ref appTerm betaConv appThm 123 ref 9038 remove betaConv appThm 9040 def 3043 remove 901 ref 1922 remove appTerm 2134 remove 1911 ref appTerm 9041 def appTerm appTerm refl appThm trans 9037 remove refl 9042 def 1872 ref appThm eqMp sym 3045 remove 1874 ref 1928 remove appThm 2136 remove 1929 ref appThm 1987 remove trans 9043 def appThm 1939 remove trans appThm 1940 ref trans sym 32 ref eqMp eqMp eqMp nil 1884 ref 121 ref 9032 ref cons nil cons 9044 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 1888 ref 9033 remove cons nil cons cons 9045 def 100 ref subst 9045 remove 157 ref subst 9039 remove "_548" 2 ref var 9046 def 27 ref 27 ref 9046 remove varTerm 9047 def appTerm 87 ref appTerm appTerm 901 ref 10 ref 9047 ref appTerm 87 ref appTerm appTerm 10 ref 820 ref 9047 remove appTerm appTerm 1911 ref appTerm appTerm appTerm absTerm 30 ref appTerm betaConv appThm 9040 remove 3050 remove 901 ref 1937 remove appTerm 2142 remove 1911 ref appTerm 9048 def appTerm appTerm refl appThm trans 9042 remove 1895 ref appThm eqMp sym 3051 remove 1874 ref 1938 remove appThm 2143 remove 1929 remove appThm 1979 remove trans 9049 def appThm 116 remove 2218 remove subst trans appThm 1905 remove trans sym 32 ref eqMp eqMp eqMp nil 1906 ref 9044 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1908 ref nil 1906 ref 1909 ref 911 ref 9032 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp subst 1874 ref 23 ref 1345 ref 183 ref 1345 ref 7374 ref 8935 ref refl absThm appThm 9050 def absThm appThm appThm 9051 def 1345 ref 183 ref 23 ref 9050 remove appThm 179 ref 187 ref nil 1965 remove 84 ref 8952 remove nil cons cons nil cons cons nil cons cons 9052 def 1910 ref subst 1874 ref 3053 remove refl appThm nil 206 ref 8950 ref nil cons 9053 def cons nil cons nil cons cons 2322 ref subst 179 ref 7374 ref 932 ref 8950 remove 7376 ref appTerm betaConv 9054 def appThm absThm appThm trans appThm trans absThm appThm appThm absThm appThm appThm appThm 23 ref nil 206 ref 8941 ref cons nil cons nil cons cons 2322 ref subst 179 ref 183 ref 932 ref 8945 remove appThm nil 206 ref 8936 ref nil cons 9055 def cons nil cons nil cons cons 2322 ref subst 179 ref 7374 ref 932 ref 8936 remove 7376 ref appTerm betaConv 9056 def appThm absThm appThm trans 9057 def trans absThm appThm trans appThm nil 206 ref 8955 ref nil cons cons nil cons nil cons cons 2322 remove subst 179 ref 183 ref 932 ref 8955 remove 194 ref appTerm betaConv appThm nil 83 ref 8937 remove nil cons cons 84 ref 8954 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 1874 ref 9057 remove appThm nil 206 ref 8953 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 187 ref 932 ref 8953 remove 193 ref appTerm betaConv appThm 9052 remove 1988 ref subst 23 ref 3527 remove appThm 9058 def nil 83 ref 8951 remove nil cons cons nil cons nil cons cons 1775 ref subst appThm trans trans absThm appThm trans appThm trans trans absThm appThm trans appThm appThm trans 1874 ref 9051 remove 1345 ref 183 ref 123 ref 23 ref 1345 ref 7374 ref 9056 ref absThm appThm appThm 9059 def 178 ref 187 ref 3074 remove 178 ref 7374 ref 820 ref 8949 ref appTerm absTerm appTerm 9060 def appTerm absTerm appTerm 9061 def refl 9062 def appThm appThm 1345 ref 7374 ref 23 ref 9056 remove appThm 9063 def 9062 remove appThm absThm appThm appThm nil 287 ref 9055 remove cons 9064 def 84 ref 9061 ref nil cons cons nil cons cons nil cons cons 2660 ref subst eqMp absThm appThm appThm 123 ref 23 ref 8946 remove appThm 583 ref 183 ref 583 ref 7374 ref 10 ref 8935 ref appTerm 9065 def 9061 remove appTerm absTerm appTerm absTerm 9066 def appTerm 9067 def refl 9068 def appThm appThm 1345 ref 183 ref 8947 remove 9068 ref appThm absThm appThm appThm nil 287 ref 8941 remove cons 84 ref 9067 remove nil cons cons nil cons 9069 def cons nil cons cons 2660 ref subst eqMp 1345 ref 183 ref 123 ref 9059 remove 9068 ref appThm appThm 1345 ref 7374 ref 9063 remove 9068 remove appThm absThm appThm appThm nil 9064 remove 9069 remove cons nil cons cons 2660 remove subst eqMp 1345 ref 7374 ref 123 ref 9065 ref refl 9070 def 1345 ref 183 ref 9066 ref 194 ref appTerm betaConv absThm appThm appThm appThm 1345 ref 1147 ref 9070 ref 9066 ref 1378 ref appTerm betaConv appThm absThm appThm appThm nil 1996 ref 9066 remove nil cons cons 83 ref 8935 ref nil cons cons nil cons 9071 def cons nil cons cons 2665 ref subst eqMp 1345 ref 1147 ref 123 ref 9070 ref 1345 ref 7374 ref 7374 ref 10 ref 195 ref 1378 ref appTerm 9072 def 8934 ref appTerm appTerm 178 ref 187 ref 901 ref 820 ref 288 remove 1378 ref appTerm appTerm appTerm 9060 remove appTerm absTerm appTerm 9073 def appTerm absTerm 9074 def 7376 ref appTerm betaConv absThm appThm appThm appThm 1345 ref "i'" 1 ref var 9075 def 9070 remove 9074 ref 9075 ref varTerm 9076 def appTerm betaConv appThm absThm appThm appThm nil 1996 ref 9074 remove nil cons cons 9071 remove cons nil cons cons 2665 ref subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans trans appThm 10 ref 178 ref 183 ref 178 ref 7374 ref 820 ref 8935 remove appTerm absTerm appTerm 9077 def absTerm appTerm 9078 def appTerm 9079 def refl 9080 def 179 ref 183 ref 901 ref 9077 ref appTerm 9081 def refl 9082 def 1345 ref 187 ref 123 ref 9058 ref 1345 ref 7374 ref 9054 ref absThm appThm appThm appThm 1345 ref 7374 ref 9058 remove 9054 remove appThm absThm appThm appThm nil 1996 ref 9053 remove cons 3534 remove cons nil cons cons 2665 remove subst eqMp absThm appThm appThm 123 ref 9082 ref 1345 ref 187 ref 187 ref 583 ref 7374 ref 465 remove 8949 remove appTerm 9083 def absTerm 9084 def appTerm absTerm 9085 def 193 ref appTerm betaConv 9086 def absThm appThm appThm appThm 1345 ref 187 ref 9082 ref 9086 remove appThm absThm appThm appThm nil 1996 ref 9085 remove nil cons cons 83 ref 9077 remove nil cons cons nil cons 9087 def cons nil cons cons 2007 ref subst eqMp 1345 ref 187 ref 123 ref 9082 ref 1345 ref 7374 ref 9084 ref 7376 ref appTerm betaConv 9088 def absThm appThm appThm appThm 1345 ref 7374 ref 9082 remove 9088 remove appThm absThm appThm appThm nil 1996 ref 9084 remove nil cons cons 9087 remove cons nil cons cons 2007 ref subst eqMp absThm appThm trans trans absThm appThm 123 ref 179 ref 183 ref 1345 ref 187 ref 183 ref 187 ref 583 ref 7374 ref 9081 ref 9083 remove appTerm absTerm appTerm absTerm 9089 def absTerm 9090 def 194 ref appTerm betaConv 9091 def 2325 ref appThm 9089 ref 193 ref appTerm betaConv trans absThm appThm absThm appThm appThm 2329 ref 2330 ref 179 ref 183 ref 9091 remove 2333 ref appThm 9089 remove 2332 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 36 ref 9090 remove nil cons cons nil cons nil cons cons 2334 ref subst eqMp 2329 ref 2330 ref 123 ref 179 ref 183 ref 1345 ref 7374 ref 183 ref 7374 ref 9081 ref 2336 ref 195 ref 2332 ref appTerm 9092 def 8934 remove appTerm appTerm appTerm absTerm 9093 def absTerm 9094 def 194 ref appTerm betaConv 9095 def 7376 ref refl appThm 9093 ref 7376 ref appTerm betaConv trans absThm appThm absThm appThm appThm 2329 ref "f'" 196 ref var 9096 def 179 ref 183 ref 9095 remove 9096 ref varTerm 9097 def 194 ref appTerm 9098 def refl appThm 9093 remove 9098 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 36 ref 9094 remove nil cons cons nil cons nil cons cons 2334 ref subst eqMp absThm appThm trans trans appThm 123 ref 9080 ref 2329 ref 2330 ref 2330 ref 2328 ref 9096 ref 178 ref 183 ref 9081 ref 2336 remove 9092 remove 6685 ref 1320 ref 9098 ref appTerm appTerm appTerm appTerm appTerm absTerm appTerm 9099 def absTerm 9100 def appTerm absTerm 9101 def 2331 ref appTerm betaConv 9102 def absThm appThm appThm appThm 2329 ref 2330 ref 9080 ref 9102 remove appThm absThm appThm appThm nil 2341 ref 9101 remove nil cons cons 83 ref 9078 remove nil cons cons nil cons 9103 def cons nil cons cons 2354 ref subst eqMp 2329 ref 2330 ref 123 ref 9080 ref 2329 ref 9096 ref 9100 ref 9097 ref appTerm betaConv 9104 def absThm appThm appThm appThm 2329 ref 9096 ref 9080 remove 9104 remove appThm absThm appThm appThm nil 2341 ref 9100 remove nil cons cons 9103 remove cons nil cons cons 2354 remove subst eqMp absThm appThm trans trans appThm 123 ref 1874 ref 1345 ref 183 ref 183 ref 583 ref 7374 ref 583 ref 1147 ref 583 ref 9075 ref 9065 remove 10 ref 9072 ref 6685 ref 1320 ref 9076 ref appTerm appTerm appTerm appTerm 9073 remove appTerm appTerm 9105 def absTerm 9106 def appTerm absTerm 9107 def appTerm absTerm 9108 def appTerm absTerm 9109 def 194 ref appTerm betaConv 9110 def absThm appThm appThm 2328 ref 2330 ref 2328 ref 9096 ref 9079 ref 9099 remove appTerm 9111 def absTerm 9112 def appTerm absTerm 9113 def appTerm 9114 def refl 9115 def appThm appThm 1345 ref 183 ref 1874 ref 9110 remove appThm 9115 ref appThm absThm appThm appThm nil 287 ref 9109 remove nil cons cons 84 ref 9114 remove nil cons cons nil cons 9116 def cons nil cons cons 2028 ref subst eqMp 1345 ref 183 ref 123 ref 1874 ref 1345 ref 7374 ref 9108 ref 7376 ref appTerm betaConv 9117 def absThm appThm appThm 9115 ref appThm appThm 1345 ref 7374 ref 1874 ref 9117 remove appThm 9115 ref appThm absThm appThm appThm nil 287 ref 9108 remove nil cons cons 9116 ref cons nil cons cons 2028 ref subst eqMp 1345 ref 7374 ref 123 ref 1874 ref 1345 ref 1147 ref 9107 ref 1378 ref appTerm betaConv 9118 def absThm appThm appThm 9115 ref appThm appThm 1345 ref 1147 ref 1874 ref 9118 remove appThm 9115 ref appThm absThm appThm appThm nil 287 ref 9107 remove nil cons cons 9116 ref cons nil cons cons 2028 ref subst eqMp 1345 ref 1147 ref 123 ref 1874 ref 1345 ref 9075 ref 9106 ref 9076 ref appTerm betaConv 9119 def absThm appThm appThm 9115 ref appThm appThm 1345 ref 9075 ref 1874 ref 9119 remove appThm 9115 remove appThm absThm appThm appThm nil 287 ref 9106 remove nil cons cons 9116 remove cons nil cons cons 2028 ref subst eqMp 1345 ref 9075 ref 123 ref 901 ref 9105 ref appTerm 9120 def refl 9121 def 2329 ref 2330 ref 9113 ref 2331 remove appTerm betaConv 9122 def absThm appThm appThm appThm 2329 ref 2330 ref 9121 ref 9122 remove appThm absThm appThm appThm nil 2341 ref 9113 remove nil cons cons 83 ref 9105 remove nil cons cons nil cons 9123 def cons nil cons cons 2343 remove 2006 ref subst 9124 def subst eqMp 2329 ref 2330 ref 123 ref 9121 ref 2329 ref 9096 ref 9112 ref 9097 ref appTerm betaConv 9125 def absThm appThm appThm appThm 2329 ref 9096 ref 9121 remove 9125 remove appThm absThm appThm appThm nil 2341 remove 9112 remove nil cons cons 9123 remove cons nil cons cons 9124 remove subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans trans trans 8957 remove assume eqMp nil 83 ref 583 ref 183 ref 583 ref 7374 ref 583 ref 1147 ref 583 ref 9075 ref 2328 ref 2330 ref 2328 ref 9096 ref 9120 ref 9111 remove appTerm absTerm appTerm absTerm 9126 def appTerm 9127 def absTerm 9128 def appTerm 9129 def absTerm 9130 def appTerm 9131 def absTerm 9132 def appTerm 9133 def absTerm 9134 def appTerm 9135 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 183 ref 68 ref 9134 ref 194 ref appTerm 9136 def appTerm 841 ref appTerm 9137 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 9137 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9136 ref nil cons 9138 def cons 1032 ref cons nil cons cons 9139 def 100 ref subst 9139 remove 157 ref subst 9136 ref betaConv 9136 remove assume eqMp nil 83 ref 9133 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 7374 ref 68 ref 9132 ref 7376 ref appTerm 9140 def appTerm 841 ref appTerm 9141 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 7374 ref nil 24 ref 9141 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9140 ref nil cons 9142 def cons 1032 ref cons nil cons cons 9143 def 100 ref subst 9143 remove 157 ref subst 9140 ref betaConv 9140 remove assume eqMp nil 83 ref 9131 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 1147 ref 68 ref 9130 ref 1378 ref appTerm 9144 def appTerm 841 ref appTerm 9145 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 1147 remove nil 24 ref 9145 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9144 ref nil cons 9146 def cons 1032 ref cons nil cons cons 9147 def 100 ref subst 9147 remove 157 ref subst 9144 ref betaConv 9144 remove assume eqMp nil 83 ref 9129 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 9075 ref 68 ref 9128 ref 9076 ref appTerm 9148 def appTerm 841 ref appTerm 9149 def absTerm nil cons cons nil cons nil cons cons 223 ref subst 9075 remove nil 24 ref 9149 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9148 ref nil cons 9150 def cons 1032 ref cons nil cons cons 9151 def 100 ref subst 9151 remove 157 ref subst 9148 ref betaConv 9148 remove assume eqMp nil 83 ref 9127 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 2358 ref 9096 ref 68 ref 9126 ref 9097 ref appTerm 9152 def appTerm 841 ref appTerm 9153 def absTerm nil cons cons nil cons nil cons cons 2361 ref subst 9096 remove nil 24 ref 9153 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9152 ref nil cons 9154 def cons 1032 ref cons nil cons cons 9155 def 100 ref subst 9155 remove 157 ref subst 9152 ref betaConv 9152 remove assume eqMp nil 83 ref 2328 ref "f''" 196 ref var 9156 def 9120 remove 9079 remove 178 ref 183 ref 9081 remove 10 ref 22 ref 9098 ref appTerm 194 ref appTerm appTerm 195 ref 9098 remove appTerm 6685 ref 1320 ref 9156 ref varTerm 9157 def 194 ref appTerm appTerm appTerm appTerm appTerm appTerm absTerm appTerm appTerm appTerm 9158 def absTerm 9159 def appTerm 9160 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 2358 ref 9156 ref 68 ref 9159 ref 9157 ref appTerm 9161 def appTerm 841 ref appTerm 9162 def absTerm nil cons cons nil cons nil cons cons 2361 ref subst 9156 remove nil 24 ref 9162 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9161 ref nil cons 9163 def cons 1032 ref cons nil cons cons 9164 def 100 ref subst 9164 remove 157 ref subst 9161 ref betaConv 9161 remove assume eqMp nil 83 ref 9158 ref nil cons 9165 def cons 1032 ref cons nil cons cons 9166 def 144 ref subst proveHyp 9166 ref 100 ref subst 9166 remove 157 ref subst 123 ref 179 ref 183 ref 1345 ref 613 ref 183 ref 8923 ref absTerm 9167 def 194 ref appTerm betaConv 9168 def 614 ref refl 9169 def appThm 8923 ref 614 ref appTerm betaConv trans absThm appThm absThm appThm appThm 2329 ref 2330 ref 179 ref 183 ref 9168 remove 2333 ref appThm 8923 remove 2332 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 36 ref 9167 remove nil cons cons nil cons nil cons cons 2334 ref subst eqMp 8961 remove assume eqMp nil 83 ref 2328 ref 2330 ref 178 ref 183 ref 22 ref 6685 ref 1320 ref 2332 ref appTerm 9170 def appTerm appTerm 8890 ref appTerm absTerm appTerm absTerm 9171 def appTerm 9172 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 2358 ref "f'''" 196 ref var 9173 def 68 ref 9171 ref 9173 ref varTerm 9174 def appTerm 9175 def appTerm 841 ref appTerm 9176 def absTerm nil cons cons nil cons nil cons cons 2361 ref subst 9173 remove nil 24 ref 9176 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9175 ref nil cons 9177 def cons 1032 ref cons nil cons cons 9178 def 100 ref subst 9178 remove 157 ref subst 9175 ref betaConv 9175 remove assume eqMp nil 83 ref 178 ref 183 ref 22 ref 6685 ref 1320 ref 9174 ref 194 ref appTerm appTerm appTerm appTerm 8890 remove appTerm absTerm appTerm 9179 def nil cons 9180 def cons 1032 ref cons nil cons cons 9181 def 144 ref subst proveHyp 9181 ref 100 ref subst 9181 remove 157 ref subst 123 ref 179 ref 183 ref 1345 ref 187 ref 183 ref 8655 ref absTerm 9182 def 194 ref appTerm betaConv 9183 def 2325 ref appThm 8776 remove trans absThm appThm absThm appThm appThm 2329 remove 2330 ref 179 ref 183 ref 9183 remove 2333 remove appThm 8655 ref 2332 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 36 remove 9182 remove nil cons cons nil cons nil cons cons 2334 remove subst eqMp 8985 remove assume eqMp nil 83 ref 2328 remove 2330 ref 178 ref 183 ref 251 ref 9170 remove appTerm 8649 ref appTerm absTerm appTerm absTerm 9184 def appTerm 9185 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 2358 ref "f''''" 196 ref var 9186 def 68 ref 9184 ref 9186 ref varTerm 9187 def appTerm 9188 def appTerm 841 ref appTerm 9189 def absTerm nil cons cons nil cons nil cons cons 2361 remove subst 9186 remove nil 24 ref 9189 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9188 ref nil cons 9190 def cons 1032 ref cons nil cons cons 9191 def 100 ref subst 9191 remove 157 ref subst 9188 ref betaConv 9188 remove assume eqMp nil 83 ref 178 ref 183 ref 251 ref 1320 ref 9187 remove 194 ref appTerm appTerm appTerm 8649 ref appTerm absTerm appTerm nil cons 9192 def cons 1032 ref cons nil cons cons 9193 def 144 ref subst proveHyp 9193 ref 100 ref subst 9193 remove 157 ref subst 8725 remove 8731 remove "f'''''" 8683 ref var 9194 def nil 24 ref 68 ref 8723 remove 9194 remove varTerm 9195 def appTerm 9196 def appTerm 841 ref appTerm nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9196 ref nil cons 9197 def cons 1032 ref cons nil cons cons 9198 def 100 ref subst 9198 remove 157 ref subst 9196 ref betaConv 9196 remove assume eqMp nil 83 ref 8686 remove 8702 remove 8714 ref 8715 ref 8614 ref 8615 ref 901 ref 10 ref 63 ref 452 ref 8717 ref 195 ref 9195 remove 8622 ref appTerm 9199 def 455 ref appTerm appTerm 9200 def 8705 remove appTerm appTerm absTerm appTerm appTerm 820 ref 195 ref 8622 ref 9199 ref appTerm 9201 def 8716 ref appTerm appTerm 9202 def 8718 remove appTerm appTerm appTerm appTerm 63 ref 64 ref 195 ref 9199 remove 69 ref appTerm appTerm 9201 ref 69 ref appTerm appTerm absTerm appTerm 9203 def appTerm absTerm appTerm absTerm appTerm absTerm 9204 def appTerm 9205 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 8726 ref "f''''''" 8683 remove var 9206 def 68 ref 9204 ref 9206 ref varTerm 9207 def appTerm 9208 def appTerm 841 ref appTerm 9209 def absTerm nil cons cons nil cons nil cons cons 8730 remove subst 9206 remove nil 24 ref 9209 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9208 ref nil cons 9210 def cons 1032 ref cons nil cons cons 9211 def 100 ref subst 9211 remove 157 ref subst 9208 ref betaConv 9208 remove assume eqMp nil 83 ref 8714 remove 8715 remove 8614 ref 8615 ref 901 ref 10 ref 63 ref 452 ref 8717 remove 9200 remove 9207 remove 8622 ref appTerm 9212 def 455 ref appTerm appTerm 9213 def appTerm absTerm appTerm appTerm 820 ref 9202 remove 8622 ref 9212 remove appTerm 9214 def 8716 remove appTerm appTerm appTerm appTerm appTerm 9203 ref appTerm absTerm appTerm absTerm 9215 def appTerm 9216 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 8738 ref "f'''''''" 8711 remove var 9217 def 68 ref 9215 ref 9217 ref varTerm 9218 def appTerm 9219 def appTerm 841 ref appTerm 9220 def absTerm nil cons cons nil cons nil cons cons 8744 remove subst 9217 remove nil 24 ref 9220 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9219 ref nil cons 9221 def cons 1032 ref cons nil cons cons 9222 def 100 ref subst 9222 remove 157 ref subst 9219 ref betaConv 9219 remove assume eqMp nil 83 ref 8614 remove 8615 remove 901 ref 10 ref 63 ref 452 ref 901 ref 820 ref 3816 remove 9218 remove 8622 remove appTerm 9223 def appTerm appTerm appTerm 9213 remove appTerm absTerm appTerm appTerm 820 ref 195 ref 9201 remove 9223 ref appTerm appTerm 9214 remove 9223 remove appTerm appTerm appTerm appTerm appTerm 9203 remove appTerm absTerm appTerm nil cons 9224 def cons 1032 ref cons nil cons cons 9225 def 144 ref subst proveHyp 9225 ref 100 ref subst 9225 remove 157 ref subst nil 83 ref 10 ref 178 ref 183 ref 178 ref 7374 ref 820 ref 585 remove 4955 ref 8612 remove constTerm 6685 ref appTerm 9226 def 8751 ref 7376 ref appTerm 9227 def appTerm 9228 def appTerm 9229 def appTerm absTerm appTerm 9230 def absTerm 9231 def appTerm 9232 def appTerm 178 ref 183 ref 901 ref 9230 remove appTerm 10 ref 4955 ref 0 ref 4 ref 5 ref cons opType constTerm 9233 def 4955 ref 474 remove constTerm 22 ref appTerm 9234 def 8752 ref 9097 ref appTerm 194 ref appTerm 9235 def appTerm 9236 def appTerm 194 ref appTerm appTerm 195 ref 9235 ref appTerm 9226 ref 8751 ref 8752 ref 9157 ref appTerm 194 ref appTerm 9237 def appTerm 9238 def appTerm appTerm appTerm appTerm absTerm appTerm 9239 def appTerm nil cons 9240 def cons 1032 ref cons nil cons cons 9241 def 100 ref subst 9241 remove 157 ref subst nil 180 ref 9226 ref 8751 ref "_13912" 1 ref var varTerm 9242 def appTerm appTerm 9243 def nil cons 9244 def cons nil cons nil cons cons 6365 ref subst nil 83 ref 195 ref 9243 ref appTerm 9243 remove appTerm nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_13775" 1 ref var 9245 def 9242 remove nil cons cons "_13774" 1 ref var 9246 def 9244 remove cons nil cons cons nil cons cons nil 83 ref 195 ref 9246 remove varTerm 9247 def appTerm 9248 def 9226 ref 8751 ref 9245 remove varTerm 9249 def appTerm appTerm appTerm nil cons cons nil cons nil cons cons 2222 ref subst 7374 ref 820 ref 9248 remove 9228 ref appTerm appTerm absTerm 9250 def 9249 ref appTerm 9251 def betaConv 9231 ref 9247 ref appTerm 9252 def betaConv nil 119 ref 9232 remove nil cons 9253 def cons 121 ref 9239 remove nil cons cons nil cons cons nil cons cons 135 ref subst nil 83 ref 9253 remove cons 84 ref 9252 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9231 remove nil cons cons 180 ref 9247 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 9250 ref appTerm nil cons cons 84 ref 9251 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9250 remove nil cons cons 180 ref 9249 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 9240 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 10 ref 9229 ref appTerm 10 ref 9072 remove 9226 ref 8751 ref 9076 ref appTerm 9254 def appTerm 9255 def appTerm 9256 def appTerm 178 ref 187 ref 901 ref 820 ref 9233 ref 9234 ref 193 ref appTerm 9257 def appTerm 1378 ref appTerm appTerm 9258 def appTerm 9259 def 178 ref 7374 ref 820 ref 2261 remove 9228 ref appTerm appTerm 9260 def absTerm 9261 def appTerm appTerm absTerm appTerm 9262 def appTerm 9263 def appTerm nil cons 9264 def cons 1032 ref cons nil cons cons 9265 def 100 ref subst 9265 remove 157 ref subst nil "_13756" 1 ref var 9266 def 9076 ref nil cons 9267 def cons nil cons nil cons cons 183 ref 9233 ref 9234 ref 9226 ref 8751 ref 8752 remove 9174 ref appTerm 9268 def 194 ref appTerm 9269 def appTerm 9270 def appTerm 9271 def appTerm 9272 def appTerm 9226 ref 8756 remove appTerm 9273 def appTerm absTerm 9274 def 9266 remove varTerm 9275 def appTerm 9276 def betaConv 179 ref 183 ref 3446 ref 8682 ref 8761 ref nil 2330 ref 9174 remove nil cons cons 210 ref cons nil cons cons 8762 ref subst appThm nil 8764 ref 180 ref 9269 remove nil cons cons nil cons cons nil cons cons 7283 ref subst trans appThm nil 64 ref 9270 remove nil cons cons nil cons nil cons cons 354 remove 42 ref cons 43 ref cons 5149 ref subst 9277 def subst trans appThm 8682 ref 8766 remove appThm nil 8768 remove nil cons cons 9277 ref subst trans appThm nil "f" 6 remove var 34 remove cons 9278 def 180 ref 9271 remove nil cons cons nil cons cons nil cons cons 40 ref "B" 5 ref cons nil cons cons 43 ref cons 5149 ref subst 9279 def subst 9273 ref refl appThm nil "f" 4 remove var 9280 def 9272 remove nil cons cons 180 ref 9273 remove nil cons cons nil cons cons nil cons cons 40 ref 786 ref cons 43 ref cons 5149 ref subst 9281 def subst trans trans absThm appThm 9179 remove assume eqMp nil 83 ref 178 ref 9274 ref appTerm nil cons cons 84 ref 9276 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9274 remove nil cons cons 180 ref 9275 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst nil 83 ref 9233 ref 9234 ref 9226 ref 8751 ref 9268 remove 9076 remove appTerm 9282 def appTerm appTerm 9283 def appTerm appTerm 9255 ref appTerm 9284 def nil cons cons 84 ref 195 ref 9283 ref appTerm 9283 ref appTerm 9285 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 180 ref 9283 remove nil cons 9286 def cons nil cons nil cons cons 6365 ref subst eqMp nil 83 ref 10 ref 9284 remove appTerm 9285 remove appTerm nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_13762" 1 ref var 9287 def 9282 remove nil cons cons "_13761" 1 ref var 9288 def 9286 remove cons nil cons cons nil cons cons nil 836 ref 195 ref 9288 remove varTerm 9289 def appTerm 9290 def 9226 remove 8751 ref 9287 remove varTerm 9291 def appTerm appTerm appTerm 9292 def nil cons cons 838 ref 9233 ref 9234 ref 9289 ref appTerm appTerm 9293 def 9255 ref appTerm 9294 def nil cons cons nil cons cons nil cons cons 5434 ref subst nil 83 ref 10 ref 9294 ref appTerm 9292 ref appTerm nil cons cons nil cons nil cons cons 2222 ref subst trans 27 ref "_13792" 1 ref var 9295 def 901 ref 820 ref 9293 ref 9295 remove varTerm appTerm appTerm appTerm 820 ref 9292 remove appTerm 9296 def appTerm absTerm 9297 def 1378 ref appTerm 9298 def appTerm refl 9297 ref 9255 remove appTerm betaConv appThm 123 ref 9298 remove betaConv appThm 901 ref 820 ref 9294 remove appTerm appTerm 9296 remove appTerm refl appThm trans 9297 remove refl nil 119 ref 9229 remove nil cons cons 121 ref 9263 remove nil cons cons nil cons cons nil cons cons 581 ref subst 9299 def nil 119 ref 9256 remove nil cons cons 121 ref 9262 remove nil cons cons nil cons cons nil cons cons 9300 def 135 ref subst proveHyp appThm eqMp 7374 ref 901 ref 820 ref 9293 remove 1378 ref appTerm appTerm appTerm 820 ref 9290 remove 9228 remove appTerm appTerm appTerm absTerm 9301 def 9291 ref appTerm 9302 def betaConv 187 ref 178 ref 7374 ref 9259 ref 9260 remove appTerm absTerm appTerm absTerm 9303 def 9289 ref appTerm 9304 def betaConv 179 ref 187 ref 123 ref 9259 remove refl 9305 def 179 ref 7374 ref 9261 ref 7376 remove appTerm betaConv 9306 def absThm appThm appThm appThm 179 ref 7374 ref 9305 remove 9306 remove appThm absThm appThm appThm nil 1996 ref 9261 remove nil cons cons 83 ref 9258 remove nil cons cons nil cons cons nil cons cons 221 ref 5308 ref subst 9307 def subst eqMp absThm appThm 9299 remove 9300 remove 581 ref subst proveHyp eqMp nil 83 ref 178 ref 9303 ref appTerm nil cons cons 84 ref 9304 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9303 remove nil cons cons 180 ref 9289 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 9301 ref appTerm nil cons cons 84 ref 9302 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9301 remove nil cons cons 180 ref 9291 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 9264 remove cons 9308 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp 1874 ref 23 ref 7284 ref 1146 ref appThm 8682 ref nil 8764 ref 7598 remove cons nil cons cons 7283 ref subst appThm nil 64 ref 9227 remove nil cons cons nil cons nil cons cons 9277 ref subst trans 9309 def appThm 9310 def appThm 23 ref 7284 ref 1378 ref refl 9311 def appThm 8682 ref nil 8764 ref 180 ref 9267 remove cons nil cons cons nil cons cons 7283 ref subst appThm nil 64 ref 9254 remove nil cons cons nil cons nil cons cons 9277 ref subst trans appThm appThm 179 ref 187 ref 1874 ref 932 ref nil 9278 ref 208 ref cons nil cons cons 9279 ref subst 9311 remove appThm nil 9280 ref 9257 remove nil cons cons 180 ref 1378 remove nil cons cons nil cons cons nil cons cons 9281 ref subst trans appThm appThm 179 ref 7374 ref 932 ref 7284 ref 2325 remove appThm 9309 remove appThm appThm absThm appThm appThm absThm appThm appThm appThm appThm 23 ref 179 ref 183 ref 179 ref 7374 remove 932 ref 9310 remove appThm absThm appThm 9312 def absThm appThm appThm 179 ref 183 ref 1874 ref 9312 remove appThm 23 ref 3446 ref nil 2330 ref 9097 remove nil cons cons 210 ref cons nil cons cons 8762 ref subst 9313 def appThm 1146 ref appThm nil 9278 ref 180 ref 9235 remove nil cons cons nil cons cons nil cons cons 9279 ref subst 1146 ref appThm nil 9280 ref 9236 remove nil cons cons 210 ref cons nil cons cons 9281 ref subst trans trans appThm 7284 ref 9313 remove appThm 8682 ref 8761 ref nil 2330 remove 9157 remove nil cons cons 210 ref cons nil cons cons 8762 remove subst appThm nil 8764 ref 180 ref 9237 remove nil cons cons nil cons cons nil cons cons 7283 ref subst trans appThm nil 64 ref 9238 remove nil cons cons nil cons nil cons cons 9277 remove subst trans appThm appThm appThm absThm appThm appThm appThm 9158 remove assume eqMp nil 9308 remove 121 ref 9240 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp nil 119 ref 9224 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 9221 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 8777 remove 8778 remove 68 ref 9215 ref 8779 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9216 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 8743 remove 8738 remove 9215 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9210 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 8780 remove 8781 remove 68 ref 9204 ref 8782 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9205 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 8729 remove 8726 remove 9204 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9197 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp 8783 remove proveHyp 8784 remove eqMp eqMp eqMp nil 119 ref 9192 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 9190 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 2482 ref 2483 ref 68 ref 9184 ref 2484 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9185 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 2342 ref 2358 ref 9184 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9180 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 9177 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 2482 ref 2483 ref 68 ref 9171 ref 2484 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9172 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 2342 ref 2358 ref 9171 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9165 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 9163 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 2482 ref 2483 ref 68 ref 9159 ref 2484 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9160 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 2342 ref 2358 ref 9159 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9154 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 2482 remove 2483 remove 68 ref 9126 ref 2484 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9127 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 2342 remove 2358 remove 9126 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9150 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 9128 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9129 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9128 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9146 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 9130 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9131 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9130 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9142 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 9132 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9133 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9132 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9138 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 ref 180 ref 68 ref 9134 ref 188 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9135 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9134 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 8959 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 8962 remove cons 121 ref 9028 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 9025 remove cons 121 ref 9026 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 9022 remove cons 121 ref 9023 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 8651 remove cons 9314 def 121 ref 9020 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 8639 remove cons 9315 def 121 ref 9018 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 9015 remove cons 121 ref 9016 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 1319 ref 8997 ref appTerm nil cons cons 84 ref 8998 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 8997 remove nil cons cons 1315 ref 8763 remove cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 8996 remove nil cons cons 84 ref 8995 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 717 ref 710 ref 8994 remove nil cons cons 803 ref 6685 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 8993 remove nil cons cons 84 ref 8992 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 8991 remove nil cons cons 283 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 8990 ref nil cons 9316 def cons 9317 def 84 ref 8636 remove 8969 remove 8986 remove 8967 remove appTerm appTerm appTerm 9318 def nil cons 9319 def cons nil cons 9320 def cons nil cons cons 144 ref subst proveHyp 248 ref 1315 ref 183 ref 8657 remove absTerm 9321 def absTerm 9322 def absTerm 9323 def refl nil 83 ref 26 ref 0 ref 8973 ref 8974 remove nil cons cons opType constTerm 9324 def 9323 ref appTerm 9323 ref appTerm nil cons cons 84 ref 68 ref 8990 remove appTerm 9325 def 9318 ref appTerm 9326 def nil cons 9327 def cons nil cons 9328 def cons nil cons cons 144 ref subst proveHyp nil 8976 remove 9323 ref nil cons cons nil cons nil cons cons nil 83 ref 9324 remove 8978 ref appTerm 9323 ref appTerm 9329 def nil cons 9330 def cons 9328 ref cons nil cons cons 9331 def 100 ref subst 9331 remove 157 ref subst nil 83 ref 68 ref 275 ref 248 ref 1319 ref 1315 ref 178 ref 183 ref 178 ref 180 ref 8977 ref 8857 remove appTerm absTerm appTerm 9332 def absTerm 9333 def appTerm 9334 def absTerm 9335 def appTerm 9336 def absTerm 9337 def appTerm 9338 def appTerm 9318 ref appTerm 9339 def nil cons 9340 def cons 9320 ref cons nil cons cons 9341 def 100 ref subst 9341 remove 157 ref subst nil 280 ref 9337 remove nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 9336 remove nil cons cons nil cons nil cons cons 33 ref subst nil 1176 ref 9335 remove nil cons cons nil cons nil cons cons 1213 ref subst 1315 ref nil 24 ref 9334 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 9333 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 9332 remove nil cons cons nil cons nil cons cons 33 ref subst 179 ref 180 ref 182 ref 8655 remove 188 ref appTerm betaConv appThm 8658 remove appThm absThm appThm 205 ref 8775 remove cons 6223 remove subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 83 ref 9338 remove nil cons cons 9320 remove cons nil cons cons 144 ref subst proveHyp 9339 ref assume eqMp eqMp nil 119 ref 9340 ref cons 121 ref 9319 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 68 ref 9339 ref appTerm 9318 remove appTerm 9342 def nil cons cons 9328 remove cons nil cons cons 144 ref subst proveHyp nil 9317 ref 84 ref 9340 ref cons 9343 def nil cons cons nil cons cons 9344 def 100 ref subst 9344 remove 157 ref subst 182 ref 3982 ref 248 ref 3492 ref 1315 ref 179 ref 183 ref 179 ref 180 ref 8977 remove refl 1222 ref 8761 ref 195 ref 8981 remove appTerm refl 9321 remove 194 ref appTerm betaConv appThm 26 ref 0 ref 196 remove 2326 remove nil cons cons opType constTerm 8980 remove appTerm refl 9322 remove 1320 ref appTerm betaConv appThm 26 ref 0 ref 8972 ref 0 ref 8972 remove 3 ref cons opType nil cons cons opType constTerm 8979 remove appTerm refl 9323 remove 251 ref appTerm betaConv appThm 9329 remove assume 1222 ref appThm eqMp 8761 ref appThm eqMp 1146 ref appThm eqMp sym appThm 9345 def appThm 8909 ref appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm 8970 remove 8971 remove 8999 remove 182 ref 179 ref 183 ref 8914 remove 631 remove 8682 remove 9345 remove appThm appThm appThm absThm appThm appThm 8966 remove refl appThm appThm appThm appThm appThm sym 8989 ref 8978 ref appTerm 9346 def betaConv nil 9317 ref 84 ref 9346 remove nil cons cons nil cons cons nil cons cons 144 ref subst 9014 remove 9013 remove 8989 remove nil cons cons "x" 8973 remove var 8978 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 9316 remove cons 121 ref 9340 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 9325 remove 9339 remove appTerm nil cons cons 84 ref 68 ref 9342 remove appTerm 9326 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 9317 remove 9343 remove 917 ref 9319 remove cons nil cons cons cons nil cons cons 4328 remove subst eqMp eqMp eqMp nil 119 ref 9330 remove cons 121 ref 9327 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp proveHyp eqMp nil 8919 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp eqMp nil 119 ref 8887 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 8885 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 801 remove 803 remove 68 ref 8881 ref 3458 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 8882 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 717 remove 710 remove 8881 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp eqMp proveHyp eqMp nil 9314 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 8647 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1319 ref 8645 remove appTerm nil cons cons 84 ref 1325 remove 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst 9347 def proveHyp 1175 ref 1314 remove 1390 ref cons nil cons cons 442 ref subst 9348 def eqMp eqMp eqMp eqMp nil 9315 remove 411 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 275 ref 8638 remove appTerm thm nil 280 ref 248 ref 68 ref 10 ref 63 ref 64 ref 820 ref 453 remove 69 ref appTerm 9349 def appTerm 9350 def absTerm 9351 def appTerm 9352 def appTerm 10 ref 459 remove appTerm 63 ref 64 ref 3564 ref 529 ref 530 ref 331 ref 255 ref 532 ref 258 remove appTerm absTerm appTerm absTerm appTerm appTerm 9353 def absTerm 9354 def appTerm 9355 def appTerm 9356 def appTerm 9357 def appTerm 252 ref appTerm 9358 def absTerm 9359 def nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 9358 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9357 remove nil cons 9360 def cons 394 remove cons nil cons cons 9361 def 100 ref subst 9361 remove 157 ref subst nil 119 ref 9352 remove nil cons 9362 def cons 121 ref 9356 remove nil cons cons nil cons cons nil cons cons 9363 def 135 ref subst 9363 remove 581 ref subst nil 7607 remove 121 ref 9355 remove nil cons 9364 def cons nil cons cons nil cons cons 9365 def 135 ref subst 9365 remove 581 ref subst 8642 remove 8643 remove 8646 remove 1196 remove nil 24 ref 68 ref 1220 ref appTerm 841 ref appTerm nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 1220 ref nil cons 9366 def cons 1032 ref cons nil cons cons 9367 def 100 ref subst 9367 remove 157 ref subst 1221 remove 1220 remove assume eqMp nil 7400 remove 1032 ref cons nil cons cons 9368 def 144 ref subst proveHyp 9368 ref 100 ref subst 9368 remove 157 ref subst 7575 remove 3655 remove 68 ref 6658 remove 178 ref 180 ref 178 ref 181 ref 68 ref 6659 remove 6661 remove 531 ref 7406 ref appTerm 9369 def 7404 ref appTerm 9370 def appTerm appTerm appTerm 3476 ref appTerm absTerm appTerm absTerm appTerm appTerm appTerm 3464 ref 3578 remove 1197 ref appTerm 9371 def 6656 remove appTerm appTerm appTerm absTerm 9372 def 6608 ref appTerm 9373 def betaConv 6679 ref 1197 ref appTerm 9374 def betaConv 6672 remove nil 6682 remove 84 ref 9374 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 6679 remove nil cons cons 1317 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 6654 remove 9372 ref appTerm nil cons cons 84 ref 9373 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 6797 remove 7291 remove 9372 remove nil cons cons 7192 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 10 ref 6715 remove appTerm 178 ref 180 ref 178 ref 181 ref 68 ref 10 ref 6622 remove appTerm 10 ref 6660 remove 6608 ref appTerm 9375 def appTerm 9370 ref appTerm 9376 def appTerm 9377 def appTerm 3476 ref appTerm 9378 def absTerm 9379 def appTerm 9380 def absTerm 9381 def appTerm 9382 def appTerm 9383 def appTerm 3464 remove 9371 remove 6608 remove appTerm 9384 def appTerm 9385 def appTerm 9386 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp 23 ref nil 24 ref 6717 remove cons nil cons nil cons cons 33 ref subst 6716 remove eqMp appThm 9382 ref refl appThm nil 24 ref 9382 remove nil cons cons nil cons nil cons cons 324 ref subst trans sym nil 206 ref 9381 remove nil cons cons nil cons nil cons cons 223 ref subst 180 ref nil 24 ref 9380 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 9379 remove nil cons cons nil cons nil cons cons 223 ref subst 181 remove nil 24 ref 9378 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9377 remove nil cons 9387 def cons 6769 ref cons nil cons cons 9388 def 100 ref subst 9388 remove 157 ref subst nil 119 ref 6639 remove cons 121 ref 9376 remove nil cons cons nil cons cons nil cons cons 581 ref subst nil 119 ref 9375 remove nil cons cons 121 ref 9370 ref nil cons cons nil cons cons nil cons cons 581 ref subst 183 ref 901 ref 3737 remove appTerm 901 ref 234 remove 188 ref appTerm appTerm 6250 remove appTerm appTerm absTerm 9389 def 184 remove appTerm 9390 def betaConv 6422 remove 188 ref appTerm 9391 def betaConv 6424 remove nil 6426 remove 84 ref 9391 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 6572 remove 642 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 9389 ref appTerm nil cons cons 84 ref 9390 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9389 remove nil cons cons 643 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 901 ref 214 remove appTerm 901 ref 6553 remove 188 ref appTerm 9392 def appTerm 3476 ref appTerm 9393 def appTerm nil cons 9394 def cons 6769 ref cons nil cons cons 9395 def 144 ref subst proveHyp 9395 ref 100 ref subst 9395 remove 157 ref subst nil 83 ref 9393 remove nil cons 9396 def cons 6769 ref cons nil cons cons 9397 def 100 ref subst 9397 remove 157 ref subst nil 83 ref 6768 ref cons 6769 ref cons nil cons cons 9398 def 100 ref subst 9398 remove 157 ref subst 3476 remove assume eqMp nil 119 ref 6768 ref cons 121 ref 6768 ref cons 9399 def nil cons 9400 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 9392 remove nil cons 9401 def cons 9402 def 6769 ref cons nil cons cons 9403 def 100 ref subst 9403 remove 157 ref subst nil 9402 remove 84 ref 251 ref 7406 ref appTerm 7404 ref appTerm nil cons 9404 def cons nil cons cons nil cons cons 144 ref subst nil 187 ref 185 remove cons 232 remove cons nil cons cons 183 ref 290 remove 251 ref 1202 remove appTerm 1197 ref 193 ref appTerm appTerm appTerm absTerm 9405 def 194 ref appTerm 9406 def betaConv 187 ref 178 ref 9405 ref appTerm 9407 def absTerm 9408 def 193 ref appTerm 9409 def betaConv nil 83 ref 178 ref 9408 ref appTerm nil cons cons 84 ref 9409 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 9408 remove nil cons cons 208 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9407 remove nil cons cons 84 ref 9406 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 9405 remove nil cons cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp 9410 def subst eqMp nil 83 ref 9404 remove cons 6769 ref cons nil cons cons 144 ref subst 182 ref 1222 ref 9370 remove assume 9411 def appThm 7404 remove refl appThm nil 64 ref 7480 remove cons nil cons nil cons cons 9351 ref 69 ref appTerm 9412 def betaConv nil 83 ref 9362 remove cons 84 ref 9412 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 9351 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9350 remove nil cons cons 84 ref 27 ref 9349 ref appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 119 ref 9349 remove nil cons cons nil cons nil cons cons 1042 ref subst eqMp subst 9413 def trans appThm 7311 ref appThm nil 24 ref 6768 ref cons nil cons nil cons cons 1049 ref subst 9414 def trans sym 32 ref eqMp eqMp proveHyp eqMp nil 119 ref 9401 remove cons 9415 def 9400 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 9415 remove 9399 remove 911 ref 6768 remove cons nil cons 9416 def cons cons nil cons cons 931 ref subst proveHyp proveHyp eqMp nil 119 ref 9396 ref cons 9400 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 226 ref cons 9417 def 6769 ref cons nil cons cons 9418 def 100 ref subst 9418 remove 157 ref subst nil 9417 remove 84 ref 7407 remove nil cons 9419 def cons nil cons cons nil cons cons 144 ref subst nil 190 remove 186 remove nil cons cons nil cons cons 9410 ref subst eqMp nil 83 ref 9419 remove cons 6769 remove cons nil cons cons 144 ref subst 182 ref 7405 remove refl 9411 remove appThm 9413 remove trans appThm 7311 remove appThm 9414 remove trans sym 32 ref eqMp eqMp proveHyp eqMp nil 119 ref 226 remove cons 9420 def 9400 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 9420 remove 121 ref 9396 remove cons 9416 remove cons cons nil cons cons 931 ref subst proveHyp proveHyp eqMp nil 119 ref 9394 remove cons 9400 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp proveHyp proveHyp eqMp nil 119 ref 9387 remove cons 9400 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 9383 ref nil cons cons 9421 def 84 ref 68 ref 9385 ref appTerm 841 ref appTerm 9422 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 24 ref 9385 remove nil cons 9423 def cons nil cons nil cons cons 1386 ref subst 932 ref nil 3462 ref 9384 ref nil cons cons nil cons 9424 def nil cons cons 9425 def 3462 ref 3467 remove 820 ref 3659 ref appTerm appTerm absTerm 9426 def 3465 ref appTerm 9427 def betaConv nil 3588 ref 9426 ref appTerm 9428 def axiom nil 83 ref 9428 remove nil cons cons 84 ref 9427 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 9426 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp subst appThm nil 24 ref 3564 ref 9384 ref appTerm nil cons 9429 def cons nil cons nil cons cons 874 remove subst trans trans sym 3562 ref 10 ref 3566 remove appTerm 9430 def 6605 remove 9384 ref appTerm 9431 def 3565 ref appTerm appTerm absTerm 9432 def "Set.insert" const 0 ref 45 ref 3567 remove cons opType constTerm 9433 def 1198 ref appTerm 529 ref 530 ref 331 ref 255 ref 532 ref 257 remove 1198 ref appTerm 9434 def appTerm absTerm appTerm absTerm appTerm 9435 def appTerm 9436 def appTerm betaConv sym 23 ref nil 3462 ref 9435 ref nil cons cons 9437 def 64 ref 1198 ref nil cons 9438 def cons nil cons 9439 def cons nil cons cons 64 ref 27 ref 3564 remove 9433 ref 69 ref appTerm 3465 ref appTerm appTerm appTerm 3659 ref appTerm absTerm 9440 def 69 ref appTerm 9441 def betaConv 3462 ref 63 ref 9440 ref appTerm 9442 def absTerm 9443 def 3465 ref appTerm 9444 def betaConv nil 3588 ref 9443 ref appTerm 9445 def axiom nil 83 ref 9445 remove nil cons cons 84 ref 9444 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 9443 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9442 remove nil cons cons 84 ref 9441 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 9440 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp subst nil 9439 remove nil cons cons 9446 def nil 24 ref 9353 remove nil cons cons nil cons nil cons cons 33 ref subst 9354 ref 69 ref appTerm 9447 def betaConv nil 83 ref 9364 remove cons 84 ref 9447 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 9354 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp subst trans appThm 9431 remove 9436 ref appTerm 9448 def refl appThm nil 24 ref 9448 remove nil cons cons nil cons nil cons cons 324 ref subst trans sym nil 3562 ref 9436 ref nil cons 9449 def cons 9424 remove cons nil cons cons 6621 remove subst 123 ref 1078 ref 64 ref 68 ref 527 ref 9384 remove appTerm appTerm refl 64 ref 527 ref 9436 remove appTerm absTerm 9450 def 69 ref appTerm betaConv appThm absThm appThm appThm 179 ref 180 ref 6623 remove 9450 ref 7406 ref appTerm betaConv appThm absThm appThm appThm nil 161 ref 9450 remove nil cons cons 6625 remove 825 ref 1316 remove cons nil cons cons cons nil cons cons 6636 remove subst eqMp trans 179 ref 180 ref 182 ref 221 ref nil 24 ref 527 ref 6607 remove 523 remove constTerm appTerm 9451 def nil cons cons nil cons nil cons cons 33 ref subst 64 ref 9451 remove absTerm 9452 def 69 ref appTerm 9453 def betaConv nil 63 ref 9452 ref appTerm 9454 def axiom nil 83 ref 9454 remove nil cons cons 84 ref 9453 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 9452 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp subst appThm nil 9437 remove 255 ref 9438 remove cons 64 ref 7406 ref nil cons cons nil cons cons cons nil cons cons 3462 ref 27 ref 527 remove 9433 remove 256 ref appTerm 3465 ref appTerm appTerm appTerm 901 ref 757 remove appTerm 3698 remove appTerm appTerm absTerm 9455 def 3465 ref appTerm 9456 def betaConv 255 ref 3588 ref 9455 ref appTerm 9457 def absTerm 9458 def 256 ref appTerm 9459 def betaConv 64 ref 63 ref 9458 ref appTerm 9460 def absTerm 9461 def 69 ref appTerm 9462 def betaConv nil 63 ref 9461 ref appTerm 9463 def axiom nil 83 ref 9463 remove nil cons cons 84 ref 9462 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 9461 remove nil cons cons 357 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9460 remove nil cons cons 84 ref 9459 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 9458 remove nil cons cons 767 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9457 remove nil cons cons 84 ref 9456 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 9455 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp subst appThm nil 24 ref 901 ref 9369 remove 1198 ref appTerm appTerm 526 ref 7406 remove appTerm 9435 ref appTerm appTerm 9464 def nil cons 9465 def cons nil cons nil cons cons 1063 ref subst trans absThm appThm trans sym 1874 ref 9446 remove 638 remove subst appThm 526 ref 1198 ref appTerm 9435 ref appTerm 9466 def refl appThm nil 24 ref 9466 ref nil cons cons nil cons nil cons cons 1880 ref subst trans sym 32 ref eqMp nil 83 ref 901 ref 1199 remove 1198 ref appTerm appTerm 9466 remove appTerm 9467 def nil cons cons 84 ref 178 ref 180 ref 68 ref 9464 ref appTerm 901 ref 531 ref 1197 remove 215 ref appTerm 9468 def appTerm 1198 ref appTerm 9469 def appTerm 526 remove 9468 ref appTerm 9470 def 9435 remove appTerm 9471 def appTerm 9472 def appTerm 9473 def absTerm 9474 def appTerm 9475 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 206 ref 9474 remove nil cons cons nil cons nil cons cons 223 ref subst 180 ref nil 24 ref 9473 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9465 ref cons 84 ref 9472 remove nil cons 9476 def cons nil cons cons nil cons cons 9477 def 100 ref subst 9477 remove 157 ref subst 123 ref 9470 remove refl 529 remove refl 530 remove 1022 ref 255 ref 532 remove refl 255 ref 9434 remove absTerm 9478 def 256 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 9478 ref 9468 ref appTerm betaConv appThm nil 161 ref 9478 remove nil cons cons 64 ref 9468 ref nil cons cons nil cons cons nil cons cons 544 remove subst eqMp sym 233 remove 1784 remove 194 ref appTerm 9479 def betaConv 1786 remove nil 1788 remove 84 ref 9479 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 2054 remove 210 ref cons nil cons cons 173 ref subst eqMp eqMp subst nil 83 ref 1782 remove 215 ref appTerm nil cons cons 84 ref 251 ref 9468 remove appTerm 1198 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 187 ref 622 remove cons 636 remove nil cons cons nil cons cons 9410 remove subst eqMp eqMp nil 119 ref 9469 remove nil cons cons 121 ref 9471 remove nil cons cons nil cons cons nil cons cons 930 remove sym nil 314 ref 24 ref 68 ref 916 remove 28 ref appTerm 9480 def appTerm 68 ref 912 remove 28 ref appTerm 9481 def appTerm 28 ref appTerm 9482 def appTerm 9483 def absTerm nil cons cons nil cons nil cons cons 344 remove subst 24 ref nil 24 ref 9483 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9480 remove nil cons 9484 def cons 84 ref 9482 remove nil cons 9485 def cons nil cons cons nil cons cons 9486 def 100 ref subst 9486 remove 157 ref subst nil 83 ref 9481 ref nil cons 9487 def cons 84 ref 316 ref cons nil cons 9488 def cons nil cons cons 9489 def 100 ref subst 9489 remove 157 ref subst nil 83 ref 348 remove cons 9488 remove cons nil cons cons 144 ref subst 9481 remove assume eqMp eqMp nil 119 ref 9487 remove cons 121 ref 316 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 9484 remove cons 121 ref 9485 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp subst proveHyp eqMp nil 119 ref 9465 remove cons 121 ref 9476 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 83 ref 10 ref 9467 remove appTerm 9475 remove appTerm nil cons cons 84 ref 178 ref 180 ref 9464 remove absTerm 9490 def appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 9490 ref 621 ref appTerm betaConv appThm 179 ref 180 ref 182 ref 9490 ref 188 ref appTerm betaConv 9491 def appThm 9490 ref 215 remove appTerm betaConv appThm absThm appThm appThm appThm 179 ref 180 ref 9491 remove absThm appThm appThm nil 287 ref 9490 remove nil cons cons nil cons nil cons cons 697 ref subst eqMp eqMp eqMp eqMp eqMp 3485 ref 3461 ref 9432 ref nil cons cons 3622 ref 9449 remove cons nil cons cons nil cons cons 360 remove subst proveHyp nil 83 ref 7333 ref 9432 remove appTerm nil cons cons 84 ref 9429 remove cons nil cons cons nil cons cons 144 ref subst proveHyp 9425 remove 3462 ref 68 ref 7333 remove 3562 ref 9430 remove 6613 remove appTerm 9492 def absTerm 9493 def appTerm 9494 def appTerm 9495 def 3659 ref appTerm 9496 def absTerm 9497 def 3465 ref appTerm 9498 def betaConv nil 3588 ref 3462 ref 3588 ref 3562 ref 68 ref 9492 ref appTerm 3659 ref appTerm absTerm 9499 def appTerm 9500 def absTerm 9501 def appTerm 9502 def axiom nil 83 ref 9502 ref nil cons 9503 def cons 9504 def 84 ref 3588 ref 9497 ref appTerm nil cons 9505 def cons nil cons cons nil cons cons 9506 def 144 ref subst proveHyp 9506 ref 100 ref subst 9506 remove 157 ref subst nil 3461 ref 9497 remove nil cons cons 9507 def nil cons nil cons cons 3486 ref subst 3462 remove nil 24 ref 9496 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9494 remove nil cons 9508 def cons 9509 def 84 ref 3660 ref cons nil cons 9510 def cons nil cons cons 9511 def 100 ref subst 9511 remove 157 ref subst nil 9504 ref 9510 ref cons nil cons cons 9512 def 144 ref subst nil 9509 remove 84 ref 68 ref 9502 remove appTerm 3659 remove appTerm 9513 def nil cons 9514 def cons nil cons 9515 def cons nil cons cons 144 ref subst nil 3461 ref 3562 ref 68 ref 9493 ref 3565 ref appTerm 9516 def appTerm 9513 ref appTerm 9517 def absTerm nil cons cons nil cons nil cons cons 3486 remove subst 3562 remove nil 24 ref 9517 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9516 ref nil cons 9518 def cons 9515 ref cons nil cons cons 9519 def 100 ref subst 9519 remove 157 ref subst 9516 ref betaConv 9516 remove assume eqMp nil 83 ref 9492 remove nil cons 9520 def cons 9521 def 9515 remove cons nil cons cons 9522 def 144 ref subst proveHyp 9522 ref 100 ref subst 9522 remove 157 ref subst 9512 ref 100 ref subst 9512 remove 157 ref subst nil 9521 remove 9510 remove cons nil cons cons 144 ref subst 9499 ref 3565 remove appTerm 9523 def betaConv 9501 ref 3465 remove appTerm 9524 def betaConv nil 9504 remove 84 ref 9524 remove nil cons cons nil cons cons nil cons cons 144 ref subst 3485 ref 3461 ref 9501 remove nil cons cons 3624 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9500 remove nil cons cons 84 ref 9523 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 ref 9499 remove nil cons cons 3625 remove cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp nil 119 ref 9503 remove cons 9525 def 121 ref 3660 remove cons nil cons 9526 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 119 ref 9520 remove cons 121 ref 9514 remove cons nil cons 9527 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 9518 remove cons 9527 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 3588 remove 3622 remove 68 ref 9493 ref 7372 remove appTerm appTerm 9513 ref appTerm absTerm appTerm nil cons cons 84 ref 9495 remove 9513 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 ref 3461 remove 9493 remove nil cons cons 9527 remove cons nil cons cons 442 ref subst eqMp eqMp eqMp eqMp nil 119 ref 9508 remove cons 9526 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 9525 remove 121 ref 9505 ref cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 83 ref 9505 remove cons 84 ref 9498 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3485 remove 9507 remove 3624 remove cons nil cons cons 173 ref subst eqMp eqMp subst eqMp eqMp eqMp nil 83 ref 10 ref 9383 remove appTerm 9422 remove appTerm nil cons cons 84 ref 68 ref 9386 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 917 ref 1031 ref cons 84 ref 9423 remove cons 9421 remove nil cons cons cons nil cons cons 7574 remove subst eqMp eqMp proveHyp eqMp nil 7576 remove 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 9366 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp 9347 remove proveHyp 9348 remove eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 119 ref 9360 remove cons 411 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 275 ref 9359 remove appTerm thm 5779 remove nil 5780 remove thm 7668 remove nil 7669 remove thm nil 280 ref 248 ref 68 ref 60 ref 0 ref 0 ref 4963 ref 3 ref cons opType 9528 def 3 ref cons opType constTerm "h" 4963 ref var 9529 def 68 ref 254 ref 784 ref 254 ref 783 ref 63 ref 64 ref 68 ref 63 ref 452 ref 3818 ref 27 ref 784 ref varTerm 9530 def 455 ref appTerm 9531 def appTerm 783 ref varTerm 9532 def 455 ref appTerm 9533 def appTerm 9534 def appTerm absTerm 9535 def appTerm 9536 def appTerm 9537 def 27 ref 9529 remove varTerm 9538 def 9530 ref appTerm 69 ref appTerm 9539 def appTerm 9538 remove 9532 ref appTerm 69 ref appTerm 9540 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 254 ref 784 ref 254 ref 783 ref 68 ref 10 ref 63 ref 64 ref 27 ref 9530 ref 69 ref appTerm appTerm 9541 def 9539 remove appTerm absTerm appTerm appTerm 63 ref 64 ref 27 ref 9532 ref 69 ref appTerm appTerm 9542 def 9540 remove appTerm absTerm appTerm appTerm appTerm 162 remove 9530 ref appTerm 9532 ref appTerm 9543 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 9544 def appTerm 9545 def appTerm 9546 def 252 remove appTerm 9547 def absTerm 9548 def nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 9547 remove nil cons cons nil cons nil cons cons 33 ref subst 9546 remove refl 284 remove appThm sym nil 83 ref 9545 remove nil cons 9549 def cons 9550 def 84 ref 3986 ref cons nil cons cons nil cons cons 9551 def 100 ref subst 9551 remove 157 ref subst nil 5479 remove nil cons nil cons cons 978 ref subst 161 ref nil 24 ref 269 remove nil cons cons nil cons nil cons cons 33 ref subst 5650 ref 100 ref subst 5650 remove 157 ref subst 9544 ref 784 ref 64 ref 2019 ref 63 ref 452 ref 3818 ref 9531 ref appTerm 9552 def absTerm appTerm 9553 def appTerm 9554 def absTerm 9555 def absTerm 9556 def appTerm 9557 def betaConv nil 9550 remove 84 ref 9557 remove nil cons cons nil cons cons nil cons cons 144 ref subst "A" 4963 ref nil cons cons nil cons "P" 9528 remove var 9544 remove nil cons cons "x" 4963 remove var 9556 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 254 ref 784 ref 254 ref 783 ref 63 ref 64 ref 9537 ref 27 ref 9556 ref 9530 ref appTerm 9558 def 69 ref appTerm 9559 def appTerm 9556 remove 9532 ref appTerm 9560 def 69 ref appTerm 9561 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 254 ref 784 ref 254 ref 783 ref 68 ref 10 ref 63 ref 64 ref 9541 ref 9559 remove appTerm absTerm appTerm appTerm 63 ref 64 ref 9542 ref 9561 remove appTerm absTerm appTerm appTerm appTerm 9543 ref appTerm absTerm appTerm absTerm appTerm appTerm nil cons cons 5649 ref cons nil cons cons 144 ref subst proveHyp 182 ref 182 ref 948 ref 784 ref 948 ref 783 ref 1078 ref 64 ref 9537 ref refl 123 ref 9558 remove betaConv 172 ref appThm 9555 remove 69 ref appTerm betaConv trans 9562 def appThm 9560 remove betaConv 172 ref appThm 64 ref 2019 ref 63 ref 452 ref 3818 ref 9533 ref appTerm 9563 def absTerm appTerm 9564 def appTerm 9565 def absTerm 69 ref appTerm betaConv trans 9566 def appThm appThm absThm appThm absThm appThm absThm appThm appThm 948 ref 784 ref 948 ref 783 ref 182 ref 23 ref 1078 ref 64 ref 9541 ref refl 9562 remove appThm absThm appThm appThm 1078 ref 64 ref 9542 ref refl 9566 remove appThm absThm appThm appThm appThm 9543 ref refl appThm absThm appThm absThm appThm appThm appThm 5655 ref appThm sym nil 540 ref 784 ref 254 ref 783 ref 63 ref 64 ref 9537 remove 27 ref 9554 ref appTerm 9565 ref appTerm 9567 def appTerm 9568 def absTerm 9569 def appTerm 9570 def absTerm 9571 def appTerm 9572 def absTerm 9573 def nil cons cons 9574 def nil cons nil cons cons 978 ref subst 784 ref nil 24 ref 9572 remove nil cons 9575 def cons nil cons nil cons cons 33 ref subst nil 540 ref 9571 ref nil cons cons 9576 def nil cons nil cons cons 978 remove subst 783 ref nil 24 ref 9570 remove nil cons 9577 def cons nil cons nil cons cons 33 ref subst nil 150 ref 9569 ref nil cons cons 9578 def nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 9568 remove nil cons cons nil cons nil cons cons 33 ref subst 9579 def nil 83 ref 9536 remove nil cons 9580 def cons 9581 def 84 ref 9567 remove nil cons 9582 def cons nil cons 9583 def cons nil cons cons 9584 def 100 ref subst 9584 remove 157 ref subst nil 1019 ref 9583 ref cons nil cons cons 9585 def 100 ref subst 9585 remove 157 ref subst 123 ref 1874 ref 1043 ref appThm 9586 def 9553 ref refl 9587 def appThm nil 24 ref 9553 remove nil cons cons nil cons nil cons cons 9588 def 1902 ref subst trans appThm 9586 ref 9564 ref refl 9589 def appThm nil 24 ref 9564 remove nil cons cons nil cons nil cons cons 9590 def 1902 ref subst trans appThm sym 1078 ref 452 ref nil 83 ref 4540 remove nil cons 9591 def cons 9592 def 84 ref 27 ref 9552 remove appTerm 9563 remove appTerm nil cons 9593 def cons nil cons 9594 def cons nil cons cons 9595 def 100 ref subst 9595 remove 157 ref subst 123 ref 182 ref nil 9592 remove 84 ref 27 ref 3817 ref appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst nil 119 ref 4521 ref cons 9596 def nil cons nil cons cons 1042 ref subst eqMp appThm 9597 def 9531 ref refl 9598 def appThm nil 24 ref 9531 remove nil cons cons nil cons nil cons cons 9599 def 1049 ref subst trans appThm 9597 remove 9533 ref refl 9600 def appThm nil 24 ref 9533 remove nil cons cons nil cons nil cons cons 9601 def 1049 ref subst trans appThm 1883 ref trans sym 32 ref eqMp eqMp nil 119 ref 9591 ref cons 121 ref 9593 ref cons nil cons 9602 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 4522 ref 9594 remove cons nil cons cons 9603 def 100 ref subst 9603 remove 157 ref subst 123 ref 182 ref nil 24 ref 4521 ref cons nil cons nil cons cons 9604 def 33 ref subst 3817 ref assume eqMp appThm 9605 def 9598 remove appThm 9599 remove 1063 ref subst trans appThm 9605 remove 9600 remove appThm 9601 remove 1063 ref subst trans appThm sym nil 4522 remove 84 ref 9534 remove nil cons cons nil cons cons nil cons cons 144 ref subst 9535 ref 455 ref appTerm 9606 def betaConv nil 9581 remove 84 ref 9606 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 150 ref 9535 remove nil cons cons 4469 remove cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp eqMp nil 9596 ref 9602 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1095 remove 3817 remove appTerm 9607 def betaConv 1098 remove nil 1099 remove 84 ref 9607 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 1100 remove 315 ref 4521 remove cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 9596 remove 121 ref 9591 remove cons 911 ref 9593 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp absThm appThm eqMp eqMp nil 1053 ref 121 ref 9582 ref cons nil cons 9608 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 1055 ref 9583 remove cons nil cons cons 9609 def 100 ref subst 9609 remove 157 ref subst 123 ref 1874 ref 1058 ref appThm 9610 def 9587 remove appThm 9588 remove 1880 ref subst trans appThm 9610 ref 9589 remove appThm 9590 remove 1880 ref subst trans appThm 1883 ref trans sym 32 ref eqMp eqMp nil 1025 ref 9608 ref cons nil cons cons 135 ref subst deductAntisym eqMp 1101 ref nil 1025 ref 1102 ref 911 ref 9582 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp nil 119 ref 9580 remove cons 9608 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 182 ref 182 ref 948 ref 784 ref 948 remove 783 ref 1078 ref 64 ref 9579 remove 9569 remove 69 ref appTerm 9611 def betaConv 9571 remove 9532 ref appTerm 9612 def betaConv 9573 ref 9530 ref appTerm 9613 def betaConv nil 83 ref 254 ref 9573 remove appTerm nil cons cons 84 ref 9613 remove nil cons cons nil cons cons nil cons cons 144 ref subst 539 ref 9574 remove 541 ref 9530 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9575 remove cons 84 ref 9612 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 ref 9576 remove 541 ref 9532 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9577 remove cons 84 ref 9611 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 9578 remove 357 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp absThm appThm 1525 ref trans absThm appThm 306 remove 951 remove 318 remove subst subst 9614 def trans absThm appThm 9614 remove trans appThm 254 ref 784 ref 254 ref 783 ref 68 ref 10 ref 63 ref 64 ref 9541 remove 9554 remove appTerm absTerm appTerm appTerm 63 ref 64 ref 9542 remove 9565 remove appTerm absTerm appTerm 9615 def appTerm appTerm 9543 remove appTerm absTerm appTerm absTerm 9616 def appTerm 9617 def refl appThm nil 24 ref 9617 remove nil cons 9618 def cons nil cons nil cons cons 1063 ref subst trans appThm 5655 ref appThm sym nil 83 ref 9618 ref cons 9619 def 5649 ref cons nil cons cons 9620 def 100 ref subst 9620 remove 157 ref subst 783 ref 68 ref 10 ref 63 ref 64 ref 1023 ref 2019 ref 63 ref 452 ref 3818 ref 163 ref 455 ref appTerm appTerm absTerm appTerm 9621 def appTerm appTerm 9622 def absTerm 9623 def appTerm 9624 def appTerm 9625 def 9615 remove appTerm appTerm 164 remove 9532 remove appTerm appTerm absTerm 9626 def 158 ref appTerm 9627 def betaConv 9616 ref 163 remove appTerm 9628 def betaConv nil 9619 remove 84 ref 9628 remove nil cons cons nil cons cons nil cons cons 144 ref subst 539 ref 540 ref 9616 remove nil cons cons 543 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 254 remove 9626 ref appTerm nil cons cons 84 ref 9627 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 539 remove 540 remove 9626 remove nil cons cons 541 remove 158 ref nil cons 9629 def cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 68 ref 9625 ref 63 ref 64 ref 27 ref 159 remove appTerm 2019 ref 63 ref 452 ref 3818 remove 158 remove 455 remove appTerm 9630 def appTerm absTerm appTerm appTerm appTerm absTerm appTerm appTerm appTerm 165 remove appTerm nil cons cons 5649 ref cons nil cons cons 144 ref subst proveHyp 182 ref 182 ref 9625 remove refl 1078 ref 64 ref 123 ref 160 ref appThm 2019 remove refl 1078 ref 452 ref 3942 remove 9630 remove betaConv appThm 9604 remove 1753 ref subst trans absThm appThm 1525 ref trans appThm 1057 ref 2209 remove subst trans appThm 1883 ref trans absThm appThm 1525 ref trans appThm nil 24 ref 9624 ref nil cons 9631 def cons nil cons nil cons cons 1285 ref subst trans appThm nil 783 remove 9629 remove cons 784 ref 542 remove cons nil cons cons nil cons cons 788 remove subst 1078 ref 64 ref 1023 remove refl 160 remove appThm 1057 remove 24 ref 27 ref 31 remove appTerm 28 ref appTerm absTerm 9632 def 28 remove appTerm 9633 def betaConv nil 311 ref 9632 ref appTerm 9634 def axiom nil 83 ref 9634 remove nil cons cons 84 ref 9633 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 9632 remove nil cons cons 317 remove cons nil cons cons 173 ref subst eqMp eqMp subst trans absThm appThm trans appThm appThm 5655 remove appThm sym nil 83 ref 68 ref 9624 remove appTerm 268 remove appTerm 9635 def nil cons 9636 def cons 5649 ref cons nil cons cons 9637 def 100 ref subst 9637 remove 157 ref subst nil 150 ref 9623 remove nil cons cons nil cons nil cons cons 222 ref subst 64 ref nil 24 ref 9622 remove nil cons 9638 def cons nil cons nil cons cons 33 ref subst nil 1019 remove 84 ref 9638 ref cons nil cons 9639 def cons nil cons cons 9640 def 100 ref subst 9640 remove 157 ref subst 123 ref 1043 ref appThm 9586 remove 9621 ref refl 9641 def appThm nil 24 ref 9621 ref nil cons cons nil cons nil cons cons 9642 def 1902 remove subst trans appThm 9642 ref 868 remove subst trans sym 5653 remove nil 5647 remove 84 ref 5652 remove nil cons cons nil cons cons nil cons cons 144 ref subst 355 ref 5651 remove 357 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 264 remove nil cons cons 84 ref 820 ref 9621 remove appTerm 9643 def nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 262 remove refl 1043 remove appThm nil 24 ref 5654 remove cons nil cons nil cons cons 1386 remove subst trans appThm 9643 remove refl appThm nil 24 ref 820 ref 261 remove appTerm nil cons cons nil cons nil cons cons 1093 remove subst trans sym 32 ref eqMp eqMp eqMp eqMp nil 1053 remove 121 ref 9638 ref cons nil cons 9644 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 1055 remove 9639 remove cons nil cons cons 9645 def 100 ref subst 9645 remove 157 ref subst 123 ref 1058 remove appThm 9610 remove 9641 remove appThm 9642 remove 1880 remove subst trans appThm 1883 remove trans sym 32 ref eqMp eqMp nil 1025 ref 9644 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1101 remove nil 1025 remove 1102 remove 911 ref 9638 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp nil 83 ref 9631 remove cons 5649 remove cons nil cons cons 144 ref subst proveHyp 9635 remove assume eqMp eqMp nil 119 ref 9636 remove cons 121 ref 5648 remove cons nil cons 9646 def cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 119 ref 9618 remove cons 9646 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp proveHyp eqMp eqMp eqMp nil 119 ref 5646 remove cons 9646 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 119 ref 9549 remove cons 121 ref 3986 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp nil 275 ref 9548 remove appTerm thm nil 280 ref 248 ref 60 ref 0 ref 823 ref 3 ref cons opType constTerm 9647 def "bad" 822 ref var 9648 def 68 ref 8043 ref 10 ref 1319 ref 1315 ref 68 ref 820 ref 9648 ref varTerm 9649 def 1320 ref appTerm 9650 def appTerm 9651 def appTerm 583 ref 183 ref 1319 ref "y" 821 ref var 9652 def 68 ref 178 ref 613 ref 68 ref 22 ref 614 ref appTerm 9653 def 194 ref appTerm 9654 def appTerm 9655 def 531 ref 9652 ref varTerm 9656 def 614 ref appTerm 9657 def appTerm 9658 def 8922 ref appTerm 9659 def appTerm 9660 def absTerm 9661 def appTerm 9662 def appTerm 820 ref 9649 ref 9656 ref appTerm 9663 def appTerm 9664 def appTerm absTerm appTerm absTerm appTerm 9665 def appTerm absTerm appTerm 9666 def appTerm 824 ref 1315 ref 9650 ref absTerm appTerm 9667 def appTerm 9668 def appTerm 9669 def appTerm 9670 def 824 ref 9652 ref 10 ref 9663 ref appTerm 9671 def 1319 ref "z" 821 ref var 9672 def 178 ref 183 ref 68 ref 10 ref 9649 ref 9672 ref varTerm 9673 def appTerm 9674 def appTerm 9675 def 178 ref 613 ref 9655 ref 531 ref 9673 ref 614 ref appTerm appTerm 9676 def 9657 ref appTerm 9677 def appTerm absTerm 9678 def appTerm 9679 def appTerm 9680 def appTerm 820 ref 251 ref 9673 ref 194 ref appTerm appTerm 9681 def 9656 ref 194 ref appTerm 9682 def appTerm 9683 def appTerm 9684 def appTerm 9685 def absTerm 9686 def appTerm absTerm 9687 def appTerm 9688 def appTerm 9689 def absTerm 9690 def appTerm 9691 def appTerm 9692 def absTerm 9693 def appTerm 9694 def absTerm 9695 def nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 9694 remove nil cons cons nil cons nil cons cons 33 ref subst nil "P" 823 remove var 9696 def 9693 remove nil cons cons nil cons nil cons cons "A" 1434 ref cons nil cons 9697 def 43 ref cons 222 ref subst 9698 def subst 9648 ref nil 24 ref 9692 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9669 ref nil cons 9699 def cons 9700 def 84 ref 9691 ref nil cons 9701 def cons nil cons 9702 def cons nil cons cons 9703 def 100 ref subst 9703 remove 157 ref subst 23 ref 3492 ref 1315 ref 3492 ref 3493 ref 179 ref 183 ref 1078 ref 255 ref nil 83 ref 178 ref 558 ref 3496 ref 531 ref 1320 ref 561 ref appTerm 9704 def appTerm 3499 remove appTerm appTerm absTerm 9705 def appTerm 9706 def nil cons 9707 def cons 9708 def 84 ref 27 ref 27 ref 10 ref 824 ref 9652 ref 9671 ref 10 ref 9662 ref appTerm 9709 def 531 ref 9682 ref appTerm 9710 def 256 ref appTerm 9711 def appTerm appTerm absTerm appTerm appTerm 1319 ref 9672 ref 68 ref 9675 ref 178 ref 613 ref 9655 ref 9676 ref 8922 ref appTerm 9712 def appTerm 9713 def absTerm appTerm appTerm 9714 def appTerm 9715 def 820 ref 9681 ref 256 ref appTerm 9716 def appTerm 9717 def appTerm 9718 def absTerm appTerm appTerm 9719 def appTerm 10 ref 824 ref 9652 ref 9671 ref 10 ref 178 ref 613 ref 9655 ref 9658 ref 3498 ref 614 ref appTerm 9720 def appTerm 9721 def appTerm 9722 def absTerm appTerm appTerm 9723 def 9711 ref appTerm appTerm absTerm appTerm appTerm 1319 ref 9672 ref 68 ref 9675 ref 178 ref 613 ref 9655 ref 9676 ref 9720 ref appTerm 9724 def appTerm 9725 def absTerm appTerm appTerm 9726 def appTerm 9727 def 9717 ref appTerm 9728 def absTerm appTerm appTerm 9729 def appTerm 9730 def appTerm 9731 def 30 ref appTerm 9732 def nil cons 9733 def cons nil cons cons nil cons cons 9734 def 100 ref subst 9734 remove 157 ref subst 123 ref 23 ref 1138 ref 9652 ref 9671 ref refl 9735 def 23 ref 179 ref 613 ref nil 83 ref 9654 ref nil cons 9736 def cons 9737 def 84 ref 27 ref 9659 ref appTerm 9738 def 9721 ref appTerm 9739 def nil cons 9740 def cons nil cons cons nil cons cons 9741 def 100 ref subst 9741 remove 157 ref subst 9658 remove refl nil 9737 ref 84 ref 531 ref 8922 ref appTerm 9720 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst nil 558 ref 614 ref nil cons 9742 def cons nil cons nil cons cons 9705 ref 561 ref appTerm 9743 def betaConv nil 9708 ref 84 ref 9743 remove nil cons cons nil cons cons nil cons cons 144 ref subst 205 ref 206 ref 9705 remove nil cons cons 684 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp 9744 def appThm eqMp nil 119 ref 9736 ref cons 9745 def 121 ref 9740 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 9655 ref 9739 remove appTerm nil cons cons 84 ref 27 ref 9660 remove appTerm 9746 def 9722 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1657 ref 9721 remove nil cons cons nil cons nil cons cons 9654 ref refl 9747 def nil 83 ref 27 ref 9654 ref appTerm 9748 def 9654 ref appTerm nil cons cons 9749 def 84 ref 68 ref 9655 ref 9738 ref 1660 ref appTerm 9750 def appTerm appTerm 9746 ref 9655 ref 1660 ref appTerm 9751 def appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 9736 remove cons nil cons nil cons cons 9752 def 1657 ref 68 ref 9748 remove 1663 ref appTerm appTerm 9753 def 68 ref 1664 ref 9750 ref appTerm appTerm 9754 def 9746 remove 1665 ref appTerm appTerm appTerm absTerm 9755 def 1660 ref appTerm 9756 def betaConv 1662 ref 311 ref 9755 ref appTerm 9757 def absTerm 9758 def 1663 ref appTerm 9759 def betaConv nil 84 ref 9659 ref nil cons 9760 def cons 9761 def 9737 ref nil cons 9762 def cons nil cons cons 1740 ref subst nil 83 ref 311 ref 9758 ref appTerm nil cons cons 84 ref 9759 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 9758 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9757 remove nil cons cons 84 ref 9756 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 9755 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp absThm appThm appThm 9711 remove refl appThm appThm absThm appThm appThm 3492 ref 9672 ref nil 83 ref 9726 ref nil cons 9763 def cons 84 ref 27 ref 9717 ref appTerm 9764 def 9717 ref appTerm 9765 def nil cons 9766 def cons nil cons cons nil cons cons 9767 def 100 ref subst 9767 remove 157 ref subst 9717 ref refl eqMp nil 119 ref 9763 ref cons 121 ref 9766 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 9727 ref 9765 remove appTerm nil cons cons 84 ref 27 ref 9718 remove appTerm 9768 def 9728 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1657 ref 9717 remove nil cons 9769 def cons nil cons nil cons cons 9675 ref refl 9770 def 179 ref 613 ref nil 9737 ref 84 ref 27 ref 9712 ref appTerm 9771 def 9724 ref appTerm 9772 def nil cons 9773 def cons nil cons cons nil cons cons 9774 def 100 ref subst 9774 remove 157 ref subst 9676 remove refl 9744 remove appThm eqMp nil 9745 remove 121 ref 9773 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 9655 ref 9772 remove appTerm nil cons cons 84 ref 27 ref 9713 remove appTerm 9775 def 9725 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1657 ref 9724 remove nil cons cons nil cons nil cons cons 9747 remove nil 9749 remove 84 ref 68 ref 9655 ref 9771 remove 1660 ref appTerm 9776 def appTerm appTerm 9775 ref 9751 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 9752 remove 1657 ref 9753 remove 68 ref 1664 ref 9776 remove appTerm appTerm 9775 remove 1665 ref appTerm appTerm appTerm absTerm 9777 def 1660 ref appTerm 9778 def betaConv 1662 ref 311 ref 9777 ref appTerm 9779 def absTerm 9780 def 1663 ref appTerm 9781 def betaConv nil 84 ref 9712 ref nil cons cons 9782 def 9762 remove cons nil cons cons 1740 ref subst nil 83 ref 311 ref 9780 ref appTerm nil cons cons 84 ref 9781 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 9780 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9779 remove nil cons cons 84 ref 9778 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 9777 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp absThm appThm appThm nil 83 ref 27 ref 9714 ref appTerm 9783 def 9726 remove appTerm nil cons cons 84 ref 68 ref 9727 ref 9764 remove 1660 ref appTerm 9784 def appTerm appTerm 9768 ref 9727 ref 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 9763 remove cons nil cons nil cons cons 1657 ref 68 ref 9783 remove 1663 ref appTerm appTerm 68 ref 1664 ref 9784 remove appTerm appTerm 9768 remove 1665 ref appTerm appTerm appTerm absTerm 9785 def 1660 ref appTerm 9786 def betaConv 1662 ref 311 ref 9785 ref appTerm 9787 def absTerm 9788 def 1663 ref appTerm 9789 def betaConv nil 84 ref 9769 remove cons 83 ref 9714 ref nil cons cons nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 9788 ref appTerm nil cons cons 84 ref 9789 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 9788 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9787 remove nil cons cons 84 ref 9786 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 9785 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp absThm appThm appThm appThm 9729 ref refl appThm nil 315 ref 9729 remove nil cons cons nil cons nil cons cons 805 ref subst trans eqMp nil 119 ref 9707 ref cons 121 ref 9733 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 68 ref 9706 ref appTerm 9790 def 9732 remove appTerm nil cons cons 84 ref 27 ref 9790 ref 9730 ref appTerm 9791 def appTerm 9792 def 9790 ref 30 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3538 ref 9706 ref refl nil 83 ref 27 ref 9706 ref appTerm 9793 def 9706 remove appTerm nil cons cons 84 ref 68 ref 9790 ref 9731 remove 1660 ref appTerm 9794 def appTerm appTerm 9792 ref 9790 ref 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 9707 ref cons nil cons nil cons cons 1657 ref 68 ref 9793 remove 1663 ref appTerm appTerm 68 ref 1664 ref 9794 remove appTerm appTerm 9792 remove 1665 ref appTerm appTerm appTerm absTerm 9795 def 1660 ref appTerm 9796 def betaConv 1662 ref 311 ref 9795 ref appTerm 9797 def absTerm 9798 def 1663 ref appTerm 9799 def betaConv nil 84 ref 9730 remove nil cons cons 9708 remove nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 9798 ref appTerm nil cons cons 84 ref 9799 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 9798 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 9797 remove nil cons cons 84 ref 9796 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 9795 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp nil 24 ref 9707 remove cons nil cons nil cons cons 1753 ref subst trans absThm appThm 1525 remove trans absThm appThm 3546 ref trans absThm appThm 3547 ref trans absThm appThm 3547 remove trans appThm 1319 ref 1315 ref 178 ref 183 ref 68 ref 178 ref 558 ref 3496 remove 10 ref 824 ref 9652 ref 9671 ref 10 ref 178 ref 613 ref 68 ref 9653 ref 561 ref appTerm 9800 def appTerm 9801 def 9659 ref appTerm absTerm appTerm appTerm 9802 def 531 ref 9656 ref 561 ref appTerm appTerm 9803 def 9704 ref appTerm 9804 def appTerm appTerm absTerm appTerm appTerm 1319 ref 9672 ref 68 ref 9675 ref 178 ref 613 ref 9801 remove 9712 ref appTerm absTerm 9805 def appTerm 9806 def appTerm 9807 def appTerm 9808 def 820 ref 251 ref 9673 ref 561 ref appTerm appTerm 9809 def 9704 ref appTerm appTerm 9810 def appTerm absTerm appTerm appTerm 9811 def appTerm absTerm appTerm 9812 def appTerm 331 ref 255 ref 9719 remove absTerm appTerm 9813 def appTerm 9814 def absTerm 9815 def appTerm 9816 def absTerm 9817 def appTerm 9818 def refl appThm nil 24 ref 9818 ref nil cons cons nil cons nil cons cons 324 ref subst trans sym nil 1176 ref 9817 remove nil cons cons nil cons nil cons cons 1213 ref subst 1315 ref nil 24 ref 9816 remove nil cons cons nil cons nil cons cons 33 ref subst nil 206 ref 9815 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 9814 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9812 ref nil cons 9819 def cons 9820 def 84 ref 9813 remove nil cons 9821 def cons nil cons cons nil cons cons 9822 def 100 ref subst 9822 remove 157 ref subst 123 ref 1022 ref 255 ref 23 ref 1138 ref 9652 ref 9735 ref 23 ref 9652 ref 9662 ref absTerm 9823 def 9656 ref appTerm betaConv 9824 def appThm 1516 ref 9652 ref 9682 ref absTerm 9825 def 9656 ref appTerm 9826 def betaConv 9827 def appThm 1105 ref appThm appThm appThm absThm appThm appThm 3492 ref 9672 ref 182 ref 9672 ref 9714 ref absTerm 9828 def 9673 ref appTerm betaConv 9829 def appThm 932 ref 255 ref 9672 ref 9716 remove absTerm 9830 def absTerm 9831 def 256 ref appTerm betaConv 9673 ref refl 9832 def appThm 9830 remove 9673 ref appTerm betaConv trans appThm appThm absThm appThm appThm absThm appThm appThm 1138 ref 9652 ref 23 ref 9735 ref 9824 remove appThm appThm 3492 ref 9672 ref 182 ref 9831 ref 9826 ref appTerm betaConv 9832 ref appThm 9672 ref 9681 ref 9826 remove appTerm absTerm 9673 ref appTerm betaConv trans appThm 932 ref 9829 remove appThm appThm absThm appThm appThm absThm appThm appThm nil 1176 ref 9649 ref nil cons 9833 def cons "Q" 822 ref var 9834 def 9823 remove nil cons cons "f" 0 ref 821 ref 353 remove cons opType 9835 def var 9836 def 9825 remove nil cons cons "A" 822 ref var 9837 def 9828 ref nil cons 9838 def cons "B" 1435 remove var 9839 def 9831 remove nil cons cons nil cons cons cons cons cons nil cons cons nil 83 ref 27 ref 331 ref 1004 ref 10 ref 824 ref 9652 ref 10 ref 1176 ref varTerm 9840 def 9656 ref appTerm 9841 def appTerm 9842 def 10 ref 9834 remove varTerm 9843 def 9656 ref appTerm 9844 def appTerm 531 ref 9836 remove varTerm 9845 def 9656 ref appTerm 9846 def appTerm 9847 def 1005 ref appTerm 9848 def appTerm 9849 def appTerm 9850 def absTerm 9851 def appTerm 9852 def appTerm 1319 ref 9672 ref 68 ref 9837 remove varTerm 9853 def 9673 ref appTerm 9854 def appTerm 820 ref 9839 remove varTerm 9855 def 1005 ref appTerm 9856 def 9673 ref appTerm 9857 def appTerm 9858 def appTerm absTerm 9859 def appTerm 9860 def appTerm absTerm 9861 def appTerm 9862 def appTerm 824 ref 9652 ref 10 ref 9842 remove 9844 ref appTerm 9863 def appTerm 9864 def 1319 ref 9672 ref 68 ref 9855 ref 9846 ref appTerm 9865 def 9673 ref appTerm 9866 def appTerm 820 ref 9854 ref appTerm 9867 def appTerm absTerm 9868 def appTerm 9869 def appTerm absTerm 9870 def appTerm 9871 def appTerm 9872 def nil cons cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 9872 remove appTerm 9873 def nil cons 9874 def cons 1032 ref cons nil cons cons 9875 def 100 ref subst 9875 remove 157 ref subst nil 83 ref 9862 remove nil cons cons 84 ref 9871 remove nil cons cons nil cons cons nil cons cons 2645 remove subst 1874 ref 23 ref 1022 ref 1004 ref 23 ref 1138 ref 9652 ref 23 ref 9841 ref refl appThm 9876 def 23 ref 9844 ref refl 9877 def appThm 9848 ref refl appThm appThm absThm appThm appThm 3492 ref 9672 ref nil 83 ref 9854 ref nil cons cons 9878 def 84 ref 9858 ref nil cons cons nil cons cons nil cons cons 9879 def 1910 ref subst absThm appThm appThm absThm appThm appThm nil 1176 ref 9870 ref nil cons cons nil cons nil cons cons 1212 ref 2321 ref subst 9880 def subst 3492 ref 9652 ref 932 ref 9870 remove 9656 ref appTerm betaConv appThm nil 83 ref 9863 remove nil cons cons 9881 def 84 ref 9869 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 1874 ref nil 83 ref 9841 ref nil cons 9882 def cons 9883 def 84 ref 9844 ref nil cons 9884 def cons nil cons cons nil cons cons 9885 def 1941 ref subst appThm nil 1176 ref 9868 ref nil cons cons nil cons nil cons cons 1212 ref 1962 remove subst 9886 def subst 1138 ref 9672 ref 932 ref 9868 remove 9673 ref appTerm betaConv appThm nil 83 ref 9866 ref nil cons cons 84 ref 9867 ref nil cons cons nil cons cons nil cons cons 9887 def 1988 ref subst 23 ref 9866 ref refl appThm nil 9878 remove nil cons nil cons cons 1775 ref subst appThm trans trans absThm appThm trans appThm trans trans absThm appThm trans appThm appThm 23 ref nil 150 ref 9861 ref nil cons cons nil cons nil cons cons 2321 remove subst 1078 ref 1004 ref 932 ref 9861 remove 1005 ref appTerm betaConv appThm nil 83 ref 9852 remove nil cons cons 84 ref 9860 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 1874 ref nil 1176 ref 9851 ref nil cons 9888 def cons nil cons nil cons cons 9880 ref subst 3492 ref 9652 ref 932 ref 9851 remove 9656 ref appTerm betaConv 9889 def appThm nil 9883 remove 84 ref 9849 remove nil cons 9890 def cons nil cons cons nil cons cons 1941 ref subst 1874 ref 820 ref 9841 remove appTerm 9891 def refl appThm nil 83 ref 9884 ref cons 84 ref 9848 ref nil cons 9892 def cons nil cons cons nil cons cons 1941 ref subst appThm trans trans absThm appThm trans appThm nil 1176 ref 9859 ref nil cons cons nil cons nil cons cons 9886 ref subst 1138 ref 9672 ref 932 ref 9859 remove 9673 ref appTerm betaConv appThm 9879 remove 1988 ref subst 23 ref 9854 ref refl appThm nil 83 ref 9857 ref nil cons cons nil cons nil cons cons 1775 ref subst appThm trans trans absThm appThm trans appThm trans trans absThm appThm trans appThm 1138 ref 9652 ref 23 ref 9876 remove 9877 remove appThm appThm 3492 ref 9672 ref 9887 remove 1910 ref subst absThm appThm appThm absThm appThm appThm appThm trans 1874 ref 23 ref 1022 ref 1004 ref 123 ref 23 ref 1138 ref 9652 ref 9889 ref absThm appThm appThm 1319 ref 9672 ref 901 ref 9867 ref appTerm 9858 remove appTerm absTerm 9893 def appTerm 9894 def refl 9895 def appThm appThm 1138 ref 9652 ref 23 ref 9889 remove appThm 9895 remove appThm absThm appThm appThm nil 6590 ref 9888 remove cons 84 ref 9894 ref nil cons 9896 def cons nil cons cons nil cons cons 1212 ref 2659 ref subst 9897 def subst eqMp absThm appThm appThm 3492 ref 9652 ref 123 ref 901 ref 901 ref 9891 remove appTerm 9898 def 820 ref 9844 remove appTerm 9899 def appTerm 9900 def appTerm 9901 def refl 9902 def 1138 ref 9672 ref 9672 ref 10 ref 9866 ref appTerm 9854 ref appTerm 9903 def absTerm 9904 def 9673 ref appTerm betaConv 9905 def absThm appThm appThm appThm 1138 ref 9672 ref 9902 remove 9905 remove appThm absThm appThm appThm nil 6591 ref 9904 remove nil cons cons 83 ref 9900 remove nil cons 9906 def cons nil cons cons nil cons cons 1212 ref 2006 ref subst 9907 def subst eqMp absThm appThm 123 ref 3492 ref 9652 ref 1138 ref 9672 ref 9652 ref 9672 ref 9901 ref 9903 remove appTerm absTerm 9908 def absTerm 9909 def 9656 ref appTerm betaConv 9910 def 9832 ref appThm 9908 ref 9673 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 7199 ref 3 ref cons opType 9911 def 3 ref cons opType 9912 def constTerm 9913 def refl 9914 def "f" 7199 ref var 9915 def 3492 ref 9652 ref 9910 remove 9915 ref varTerm 9916 def 9656 ref appTerm 9917 def refl appThm 9908 remove 9917 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 821 ref 1434 ref cons opType 9918 def var 9919 def 9909 remove nil cons cons nil cons nil cons cons 1437 ref 1175 ref cons 43 ref cons 1121 ref subst subst eqMp trans appThm 123 ref 23 ref 1022 ref 1004 ref 1004 ref 824 ref 9652 ref 10 ref 9850 ref appTerm 9894 remove appTerm 9920 def absTerm 9921 def appTerm absTerm 9922 def 1005 ref appTerm betaConv 9923 def absThm appThm appThm 9913 ref 9915 ref 1319 ref 9652 ref 9901 ref 10 ref 9865 ref 9917 ref appTerm appTerm 9853 ref 9917 remove appTerm appTerm appTerm absTerm appTerm 9924 def absTerm 9925 def appTerm 9926 def refl 9927 def appThm appThm 1022 ref 1004 ref 23 ref 9923 remove appThm 9927 ref appThm absThm appThm appThm nil 161 ref 9922 remove nil cons cons 84 ref 9926 remove nil cons cons nil cons 9928 def cons nil cons cons 2659 ref subst eqMp 1022 ref 1004 ref 123 ref 23 ref 1138 ref 9652 ref 9921 ref 9656 ref appTerm betaConv 9929 def absThm appThm appThm 9927 ref appThm appThm 1138 ref 9652 ref 23 ref 9929 remove appThm 9927 remove appThm absThm appThm appThm nil 6590 ref 9921 remove nil cons cons 9928 remove cons nil cons cons 9897 ref subst eqMp 1138 ref 9652 ref 123 ref 10 ref 9920 ref appTerm 9930 def refl 9931 def 9914 ref 9915 ref 9925 ref 9916 ref appTerm betaConv 9932 def absThm appThm appThm appThm 9914 ref 9915 ref 9931 remove 9932 remove appThm absThm appThm appThm nil "q" 9911 ref var 9925 remove nil cons cons 83 ref 9920 remove nil cons 9933 def cons nil cons cons nil cons cons "A" 7199 ref nil cons cons nil cons 9934 def 43 ref cons 9935 def 2353 ref subst subst eqMp absThm appThm trans absThm appThm trans trans appThm 23 ref 1078 ref 1004 ref 123 ref 901 ref 1319 ref 9652 ref 9898 ref 901 ref 9899 remove appTerm 9936 def 820 ref 9848 remove appTerm appTerm appTerm 9937 def absTerm 9938 def appTerm 9939 def appTerm 9940 def refl 9941 def 1138 ref 9672 ref 9672 ref 10 ref 9854 remove appTerm 9857 remove appTerm 9942 def absTerm 9943 def 9673 ref appTerm betaConv 9944 def absThm appThm appThm appThm 1138 ref 9672 ref 9941 remove 9944 remove appThm absThm appThm appThm nil 6591 ref 9943 remove nil cons cons 83 ref 9939 remove nil cons cons nil cons cons nil cons cons 9907 ref subst eqMp absThm appThm 123 ref 1078 ref 1004 ref 1138 ref 9672 ref 1004 ref 9672 ref 9940 ref 9942 remove appTerm absTerm 9945 def absTerm 9946 def 1005 ref appTerm betaConv 9947 def 9832 ref appThm 9945 ref 9673 ref appTerm betaConv trans absThm appThm absThm appThm appThm 1432 ref 1150 ref 1078 ref 1004 ref 9947 remove 1155 ref 1005 ref appTerm 9948 def refl appThm 9945 remove 9948 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 1436 remove 9946 remove nil cons cons nil cons nil cons cons 1438 remove subst eqMp trans appThm 824 ref 9652 ref 9864 remove 1319 ref 9672 ref 901 ref 820 ref 9866 remove appTerm appTerm 9867 ref appTerm absTerm appTerm appTerm 9949 def absTerm 9950 def appTerm 9951 def refl 9952 def appThm 123 ref 23 ref 1432 ref 1150 ref 1150 ref 63 ref 1004 ref 9940 ref 10 ref 9853 ref 9948 ref appTerm appTerm 9856 ref 9948 remove appTerm appTerm appTerm absTerm appTerm 9953 def absTerm 9954 def 1155 ref appTerm betaConv 9955 def absThm appThm appThm 9952 ref appThm appThm 1432 ref 1150 ref 23 ref 9955 remove appThm 9952 remove appThm absThm appThm appThm nil "p" 1161 ref var 9954 remove nil cons cons 84 ref 9951 remove nil cons cons nil cons cons nil cons cons 1426 ref 2659 ref subst subst eqMp 1432 ref 1150 ref 123 ref 10 ref 9953 ref appTerm 9956 def refl 9957 def 1138 ref 9652 ref 9950 ref 9656 ref appTerm betaConv 9958 def absThm appThm appThm appThm 1138 ref 9652 ref 9957 remove 9958 remove appThm absThm appThm appThm nil 6591 ref 9950 remove nil cons cons 83 ref 9953 remove nil cons cons nil cons cons nil cons cons 1212 ref 2353 ref subst 9959 def subst eqMp absThm appThm trans trans appThm 123 ref 1874 ref 1022 ref 1004 ref 1004 ref 824 ref 9652 ref 9913 ref 9915 ref 9930 ref 9924 remove appTerm 9960 def absTerm 9961 def appTerm absTerm 9962 def appTerm absTerm 9963 def 1005 ref appTerm betaConv 9964 def absThm appThm appThm 1431 ref 1150 ref 824 ref 9652 ref 9956 ref 9949 remove appTerm absTerm 9965 def appTerm absTerm 9966 def appTerm 9967 def refl 9968 def appThm appThm 1022 ref 1004 ref 1874 ref 9964 remove appThm 9968 ref appThm absThm appThm appThm nil 161 remove 9963 remove nil cons cons 84 ref 9967 remove nil cons cons nil cons 9969 def cons nil cons cons 2027 ref subst eqMp 1022 ref 1004 ref 123 ref 1874 ref 1138 ref 9652 ref 9962 ref 9656 ref appTerm betaConv 9970 def absThm appThm appThm 9968 ref appThm appThm 1138 ref 9652 ref 1874 ref 9970 remove appThm 9968 ref appThm absThm appThm appThm nil 6590 ref 9962 remove nil cons cons 9969 ref cons nil cons cons 1212 ref 2027 ref subst subst eqMp 1138 ref 9652 ref 123 ref 1874 ref 9914 ref 9915 ref 9961 ref 9916 remove appTerm betaConv 9971 def absThm appThm appThm 9968 ref appThm appThm 9914 ref 9915 ref 1874 ref 9971 remove appThm 9968 remove appThm absThm appThm appThm nil "p" 9911 ref var 9961 remove nil cons cons 9969 remove cons nil cons cons 9935 ref 2027 remove subst subst eqMp 9914 remove 9915 ref 123 ref 901 ref 9960 ref appTerm 9972 def refl 9973 def 1432 ref 1150 ref 9966 ref 1155 remove appTerm betaConv 9974 def absThm appThm appThm appThm 1432 ref 1150 ref 9973 ref 9974 remove appThm absThm appThm appThm nil "q" 1161 remove var 9966 remove nil cons cons 83 ref 9960 remove nil cons cons nil cons 9975 def cons nil cons cons 1426 remove 2006 ref subst subst eqMp 1432 remove 1150 ref 123 ref 9973 ref 1138 ref 9652 ref 9965 ref 9656 ref appTerm betaConv absThm appThm appThm appThm 1138 ref "y'" 821 ref var 9976 def 9973 remove 9965 ref 9976 ref varTerm 9977 def appTerm betaConv appThm absThm appThm appThm nil 6591 ref 9965 remove nil cons cons 9975 remove cons nil cons cons 9907 ref subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans trans trans 9873 remove assume eqMp nil 83 ref 331 remove 1004 ref 824 ref 9652 ref 9913 remove 9915 remove 1431 ref 1150 ref 824 ref 9976 ref 9972 remove 9956 remove 10 ref 10 ref 9840 ref 9977 ref appTerm 9978 def appTerm 9979 def 9843 ref 9977 ref appTerm 9980 def appTerm 9981 def appTerm 1319 ref 9672 ref 901 ref 820 ref 9855 ref 9845 ref 9977 ref appTerm 9982 def appTerm 9983 def 9673 ref appTerm appTerm appTerm 9867 remove appTerm absTerm 9984 def appTerm 9985 def appTerm 9986 def appTerm 9987 def appTerm absTerm appTerm absTerm appTerm absTerm 9988 def appTerm 9989 def absTerm 9990 def appTerm 9991 def absTerm 9992 def appTerm 9993 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 150 ref 1004 ref 68 ref 9992 ref 1005 ref appTerm 9994 def appTerm 841 ref appTerm 9995 def absTerm nil cons cons nil cons nil cons cons 222 ref subst 1004 ref nil 24 ref 9995 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9994 ref nil cons 9996 def cons 1032 ref cons nil cons cons 9997 def 100 ref subst 9997 remove 157 ref subst 9994 ref betaConv 9994 remove assume eqMp nil 83 ref 9991 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 1176 ref 9652 ref 68 ref 9990 ref 9656 ref appTerm 9998 def appTerm 841 ref appTerm 9999 def absTerm nil cons cons nil cons nil cons cons 1213 ref subst 9652 ref nil 24 ref 9999 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 9998 ref nil cons 10000 def cons 1032 ref cons nil cons cons 10001 def 100 ref subst 10001 remove 157 ref subst 9998 ref betaConv 9998 remove assume eqMp nil 83 ref 9989 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 9911 remove var 10002 def "f'" 7199 ref var 10003 def 68 ref 9988 ref 10003 ref varTerm 10004 def appTerm 10005 def appTerm 841 ref appTerm 10006 def absTerm nil cons cons nil cons nil cons cons 9935 remove 222 ref subst subst 10003 remove nil 24 ref 10006 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10005 ref nil cons 10007 def cons 1032 ref cons nil cons cons 10008 def 100 ref subst 10008 remove 157 ref subst 10005 ref betaConv 10005 remove assume eqMp nil 83 ref 1431 remove 1150 remove 824 ref 9976 ref 901 ref 9930 remove 1319 ref 9652 ref 9901 ref 10 ref 9865 ref 10004 ref 9656 ref appTerm 10009 def appTerm 10010 def appTerm 9853 ref 10009 ref appTerm 10011 def appTerm appTerm absTerm appTerm 10012 def appTerm 10013 def appTerm 10014 def 9987 remove appTerm absTerm appTerm absTerm 10015 def appTerm 10016 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 1170 ref "f''" 1149 remove var 10017 def 68 ref 10015 ref 10017 ref varTerm 10018 def appTerm 10019 def appTerm 841 ref appTerm 10020 def absTerm nil cons cons nil cons nil cons cons 1427 remove subst 10017 remove nil 24 ref 10020 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10019 ref nil cons 10021 def cons 1032 ref cons nil cons cons 10022 def 100 ref subst 10022 remove 157 ref subst 10019 ref betaConv 10019 remove assume eqMp nil 83 ref 824 ref 9976 ref 10014 remove 10 ref 63 ref 1004 ref 9940 remove 10 ref 9853 ref 10018 ref 1005 ref appTerm 10023 def appTerm 10024 def appTerm 9856 remove 10023 remove appTerm 10025 def appTerm 10026 def appTerm absTerm appTerm 10027 def appTerm 9986 ref appTerm 10028 def appTerm 10029 def absTerm 10030 def appTerm 10031 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 1176 ref 9976 ref 68 ref 10030 ref 9977 ref appTerm 10032 def appTerm 841 ref appTerm 10033 def absTerm nil cons cons nil cons nil cons cons 1213 ref subst 9976 ref nil 24 ref 10033 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10032 ref nil cons 10034 def cons 1032 ref cons nil cons cons 10035 def 100 ref subst 10035 remove 157 ref subst 10032 ref betaConv 10032 remove assume eqMp nil 83 ref 10029 remove nil cons 10036 def cons 1032 ref cons nil cons cons 10037 def 144 ref subst proveHyp 10037 ref 100 ref subst 10037 remove 157 ref subst nil 83 ref 10028 remove nil cons 10038 def cons 1032 ref cons nil cons cons 10039 def 100 ref subst 10039 remove 157 ref subst nil 119 ref 10027 remove nil cons cons 121 ref 9986 remove nil cons cons nil cons cons nil cons cons 10040 def 581 ref subst 10041 def nil 119 ref 9981 remove nil cons cons 121 ref 9985 remove nil cons 10042 def cons nil cons cons nil cons cons 10043 def 135 ref subst proveHyp 10044 def nil 119 ref 9978 remove nil cons 10045 def cons 121 ref 9980 ref nil cons 10046 def cons nil cons cons nil cons cons 10047 def 135 ref subst proveHyp nil 83 ref 10045 remove cons 84 ref 10 ref 9980 remove appTerm 531 ref 9982 ref appTerm 9982 ref appTerm 10048 def appTerm 10049 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp 10044 remove 10047 remove 581 ref subst proveHyp nil 83 ref 10046 remove cons 84 ref 10048 remove nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 64 ref 9982 ref nil cons 10050 def cons nil cons nil cons cons 172 remove subst eqMp eqMp 10051 def nil 83 ref 9979 remove 10049 remove appTerm nil cons cons 10052 def 84 ref 9983 ref 10018 ref 9982 remove appTerm 10053 def appTerm 10054 def nil cons 10055 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14332" 45 ref var 10056 def 10050 remove cons "_14333" 821 ref var 10057 def 9977 ref nil cons cons nil cons cons nil cons cons 10058 def nil 836 ref 901 ref 820 ref 9840 ref 10057 remove varTerm 10059 def appTerm 10060 def appTerm 10061 def appTerm 10062 def 901 ref 820 ref 9843 ref 10059 ref appTerm 10063 def appTerm 10064 def appTerm 10065 def 820 ref 531 ref 9845 ref 10059 ref appTerm appTerm 10056 remove varTerm 10066 def appTerm 10067 def appTerm 10068 def appTerm 10069 def appTerm 10070 def nil cons cons 10071 def 838 ref 9855 ref 10066 ref appTerm 10018 remove 10066 ref appTerm 10072 def appTerm 10073 def nil cons 10074 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 10069 remove nil cons 10075 def cons 838 ref 10061 remove nil cons 10076 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 10060 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm nil 836 ref 10068 remove nil cons 10077 def cons 838 ref 10064 remove nil cons 10078 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 10063 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm nil 838 ref 10067 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm trans appThm trans appThm 10079 def 10073 ref refl appThm trans 10062 remove refl 10080 def 10065 remove refl 10081 def nil 84 ref 10074 ref cons 10082 def 83 ref 10077 ref cons nil cons 10083 def cons nil cons cons 2097 ref subst appThm nil 917 ref 10077 ref cons 10084 def 10082 ref 83 ref 10078 ref cons nil cons 10085 def cons cons nil cons cons 2174 ref subst trans appThm nil 917 ref 10075 ref cons 10086 def 10082 remove 83 ref 10076 ref cons nil cons 10087 def cons cons nil cons cons 2174 ref subst trans nil 984 ref 10076 remove cons 10088 def 983 ref 10075 remove cons 10089 def 2148 ref 10074 remove cons nil cons 10090 def cons cons nil cons cons 3414 ref subst 10080 ref nil 984 ref 10078 remove cons 10091 def 983 ref 10077 remove cons 10092 def 10090 remove cons cons nil cons cons 3414 ref subst appThm trans 9652 ref 10 ref 901 ref 9898 remove 9936 remove 820 ref 9847 remove 10066 ref appTerm appTerm appTerm appTerm appTerm 10093 def 9853 ref 10072 remove appTerm 10094 def appTerm appTerm 10093 remove 10073 ref appTerm appTerm absTerm 10095 def 10059 ref appTerm 10096 def betaConv 1004 ref 1319 ref 9652 ref 10 ref 901 ref 9937 ref appTerm 10097 def 10024 ref appTerm appTerm 10097 remove 10025 ref appTerm appTerm absTerm appTerm absTerm 10098 def 10066 ref appTerm 10099 def betaConv 1078 ref 1004 ref 123 ref 1874 ref 3492 ref 9652 ref 9938 ref 9656 ref appTerm betaConv 10100 def absThm appThm appThm 10026 ref refl 10101 def appThm appThm 3492 ref 9652 ref 1874 ref 10100 remove appThm 10101 remove appThm absThm appThm appThm nil 6590 ref 9938 remove nil cons cons 84 ref 10026 remove nil cons cons nil cons cons nil cons cons 1212 ref 6140 remove subst subst eqMp absThm appThm 1078 ref 1004 remove 3492 ref 9652 ref nil 838 ref 9937 remove nil cons cons 836 ref 10024 remove nil cons cons 1605 ref 10025 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst absThm appThm absThm appThm trans 10040 remove 135 ref subst eqMp nil 83 ref 63 ref 10098 ref appTerm nil cons cons 84 ref 10099 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 ref 150 ref 10098 remove nil cons cons 64 ref 10066 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1319 ref 10095 ref appTerm nil cons cons 84 ref 10096 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 10095 remove nil cons cons 1315 ref 10059 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 10102 def nil 119 ref 901 ref 10070 remove appTerm 10103 def 10094 ref appTerm nil cons cons 121 ref 10103 remove 10073 remove appTerm nil cons cons nil cons cons nil cons cons 10104 def 581 ref subst proveHyp eqMp eqMp eqMp subst eqMp nil 83 ref 10055 remove cons 84 ref 9853 ref 10053 ref appTerm 10105 def nil cons cons nil cons 10106 def cons nil cons cons 157 ref subst proveHyp 10051 remove nil 10052 remove 10106 remove cons nil cons cons 144 ref subst proveHyp 10058 remove nil 10071 remove 838 ref 10094 ref nil cons 10107 def cons nil cons cons nil cons cons 2085 ref subst 10079 remove 10094 remove refl appThm trans 10080 ref 10081 remove nil 84 ref 10107 ref cons 10108 def 10083 remove cons nil cons cons 2097 ref subst appThm nil 10084 remove 10108 ref 10085 remove cons cons nil cons cons 2174 ref subst trans appThm nil 10086 remove 10108 remove 10087 remove cons cons nil cons cons 2174 ref subst trans nil 10088 remove 10089 remove 2148 ref 10107 remove cons nil cons 10109 def cons cons nil cons cons 3414 ref subst 10080 remove nil 10091 remove 10092 remove 10109 remove cons cons nil cons cons 3414 ref subst appThm trans 10102 remove 10104 remove 135 ref subst proveHyp eqMp eqMp eqMp subst eqMp eqMp nil 83 ref 10 ref 10054 remove appTerm 10105 remove appTerm nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_14334" 821 ref var 10110 def 10053 remove nil cons cons nil cons nil cons cons nil 836 ref 9853 ref 10110 remove varTerm 10111 def appTerm 10112 def nil cons cons 838 ref 9983 remove 10111 ref appTerm 10113 def nil cons cons nil cons cons nil cons cons 5434 ref subst nil 83 ref 10 ref 10113 remove appTerm 10112 remove appTerm nil cons cons nil cons nil cons cons 2222 ref subst trans 9984 ref 10111 ref appTerm 10114 def betaConv 10041 remove 10043 remove 581 ref subst proveHyp nil 83 ref 10042 remove cons 84 ref 10114 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 9984 remove nil cons cons 1315 ref 10111 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 10038 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 10013 remove nil cons 10115 def cons 1032 ref cons nil cons cons 10116 def 100 ref subst 10116 remove 157 ref subst nil 119 ref 9933 remove cons 121 ref 10012 remove nil cons cons nil cons cons nil cons cons 10117 def 135 ref subst 10118 def nil 119 ref 9850 remove nil cons cons 121 ref 9896 ref cons nil cons cons nil cons cons 10119 def 135 ref subst proveHyp 10120 def nil 119 ref 9882 remove cons 121 ref 9890 remove cons nil cons cons nil cons cons 10121 def 135 ref subst proveHyp 9885 remove 157 ref subst proveHyp 10120 remove 10121 remove 581 ref subst proveHyp 10122 def nil 119 ref 9884 remove cons 121 ref 9892 remove cons nil cons cons nil cons cons 10123 def 135 ref subst proveHyp eqMp 10124 def nil 9881 ref 84 ref 10011 ref nil cons 10125 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14330" 821 ref var 10126 def 9656 ref nil cons 10127 def cons nil cons nil cons cons 10128 def nil 836 ref 901 ref 820 ref 9840 remove 10126 remove varTerm 10129 def appTerm 10130 def appTerm 10131 def appTerm 10132 def 820 ref 9843 remove 10129 ref appTerm 10133 def appTerm 10134 def appTerm 10135 def nil cons cons 10136 def 838 ref 9853 ref 10004 remove 10129 ref appTerm 10137 def appTerm 10138 def nil cons 10139 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 10134 remove nil cons 10140 def cons 838 ref 10131 remove nil cons 10141 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 10130 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm nil 838 ref 10133 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm trans appThm 10142 def 10138 ref refl appThm trans 10132 remove refl 10143 def nil 84 ref 10139 ref cons 10144 def 83 ref 10140 ref cons nil cons 10145 def cons nil cons cons 2097 ref subst appThm nil 917 ref 10140 ref cons 10146 def 10144 remove 83 ref 10141 ref cons nil cons 10147 def cons cons nil cons cons 2174 ref subst trans nil 984 ref 10141 remove cons 10148 def 983 ref 10140 remove cons 10149 def 2148 ref 10139 remove cons nil cons cons cons nil cons cons 3414 ref subst 9652 ref 10 ref 9901 ref 10010 ref appTerm appTerm 9901 remove 10011 ref appTerm appTerm absTerm 10150 def 10129 ref appTerm 10151 def betaConv 3492 ref 9652 ref nil 838 ref 9906 remove cons 836 ref 10010 ref nil cons 10152 def cons 1605 ref 10125 ref cons nil cons cons cons nil cons cons 2480 ref subst absThm appThm 10117 remove 581 ref subst eqMp nil 83 ref 1319 ref 10150 ref appTerm nil cons cons 84 ref 10151 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 10150 remove nil cons cons 1315 ref 10129 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 10153 def nil 119 ref 901 ref 10135 remove appTerm 10154 def 9855 ref 9845 remove 10129 remove appTerm appTerm 10137 remove appTerm 10155 def appTerm nil cons cons 121 ref 10154 remove 10138 remove appTerm nil cons cons nil cons cons nil cons cons 10156 def 581 ref subst proveHyp eqMp eqMp eqMp subst eqMp nil 83 ref 10125 remove cons 84 ref 10152 remove cons nil cons 10157 def cons nil cons cons 157 ref subst proveHyp 10124 remove nil 9881 remove 10157 remove cons nil cons cons 144 ref subst proveHyp 10128 remove nil 10136 remove 838 ref 10155 ref nil cons 10158 def cons nil cons cons nil cons cons 2085 ref subst 10142 remove 10155 remove refl appThm trans 10143 remove nil 84 ref 10158 ref cons 10159 def 10145 remove cons nil cons cons 2097 ref subst appThm nil 10146 remove 10159 remove 10147 remove cons cons nil cons cons 2174 ref subst trans nil 10148 remove 10149 remove 2148 ref 10158 remove cons nil cons cons cons nil cons cons 3414 ref subst 10153 remove 10156 remove 135 ref subst proveHyp eqMp eqMp eqMp subst eqMp eqMp nil 83 ref 10 ref 10011 remove appTerm 10010 remove appTerm nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "_14331" 821 ref var 10160 def 10009 remove nil cons cons nil cons nil cons cons nil 836 ref 9865 remove 10160 remove varTerm 10161 def appTerm 10162 def nil cons cons 838 ref 9853 remove 10161 ref appTerm 10163 def nil cons cons nil cons cons nil cons cons 5434 ref subst nil 83 ref 10 ref 10163 ref appTerm 10162 ref appTerm nil cons cons nil cons nil cons cons 2222 ref subst trans 27 ref "_14337" 45 ref var 10164 def 901 ref 820 ref 10163 remove appTerm appTerm 10165 def 820 ref 9855 remove 10164 remove varTerm appTerm 10161 ref appTerm appTerm appTerm absTerm 10166 def 1005 remove appTerm 10167 def appTerm refl 10166 ref 9846 remove appTerm betaConv appThm 123 ref 10167 remove betaConv appThm 10165 remove 820 ref 10162 remove appTerm appTerm refl appThm trans 10166 remove refl 10122 remove 10123 remove 581 ref subst proveHyp sym appThm eqMp 9893 ref 10161 ref appTerm 10168 def betaConv 10118 remove 10119 remove 581 ref subst proveHyp nil 83 ref 9896 remove cons 84 ref 10168 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 9893 remove nil cons cons 1315 ref 10161 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp eqMp nil 119 ref 10115 remove cons 10169 def 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 10169 remove 121 ref 10038 remove cons 2233 ref cons cons nil cons cons 931 ref subst proveHyp proveHyp eqMp nil 119 ref 10036 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 10034 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1319 ref 1315 ref 68 ref 10030 ref 1320 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 10031 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 10030 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 10021 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1163 remove 1171 remove 68 ref 10015 ref 3245 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 10016 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1169 remove 1170 remove 10015 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 10007 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 9912 remove constTerm "x" 7199 remove var 10170 def 68 ref 9988 ref 10170 remove varTerm appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9989 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 9934 remove 10002 remove 9988 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 10000 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1319 ref 1315 ref 68 ref 9990 ref 1320 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9991 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 9990 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9996 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 63 ref 64 ref 68 ref 9992 ref 69 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 9993 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 355 remove 150 remove 9992 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 9874 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp subst eqMp 1138 ref 9652 ref 10 ref 9671 ref 9662 ref appTerm 10171 def appTerm 10172 def refl 3492 ref 9672 ref 182 ref 9681 ref refl 9827 ref appThm appThm 820 ref 9714 remove appTerm 10173 def refl appThm absThm appThm appThm absThm appThm trans sym "m" 9835 ref var 10174 def 446 ref 19 remove 0 ref 9918 ref 3 ref cons opType constTerm 10175 def 1315 ref 9652 ref 251 ref 10174 remove varTerm 10176 def 1320 ref appTerm appTerm 10176 remove 9656 ref appTerm appTerm absTerm absTerm appTerm appTerm absTerm 10177 def 1315 ref 8649 ref absTerm 10178 def appTerm 10179 def betaConv 248 ref 60 ref 0 ref 0 ref 9835 ref 3 ref cons opType 10180 def 3 ref cons opType constTerm 10177 ref appTerm 10181 def absTerm 10182 def 251 ref appTerm 10183 def betaConv 1174 ref 3657 remove cons 43 ref cons 818 remove subst nil 83 ref 275 ref 10182 ref appTerm nil cons cons 84 ref 10183 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 ref 280 ref 10182 remove nil cons cons 283 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 10181 remove nil cons cons 84 ref 10179 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp "A" 9835 ref nil cons cons nil cons "P" 10180 remove var 10177 remove nil cons cons "x" 9835 remove var 10178 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 446 ref 10175 ref 1315 ref 9652 ref 251 ref 10178 ref 1320 ref appTerm 10184 def appTerm 10178 remove 9656 ref appTerm appTerm absTerm absTerm appTerm appTerm nil cons cons 84 ref 824 ref 9652 ref 10172 remove 1319 ref 9672 ref 68 ref 9683 ref appTerm 10173 remove appTerm absTerm appTerm appTerm absTerm appTerm 10185 def nil cons 10186 def cons nil cons 10187 def cons nil cons cons 144 ref subst proveHyp 182 ref 182 ref nil 24 ref 393 remove cons nil cons nil cons cons 33 ref subst nil 6195 remove 121 ref 9668 remove nil cons cons nil cons cons nil cons cons 10188 def 135 ref subst eqMp appThm 10175 ref refl 1315 ref 9652 ref 1222 ref 10184 remove betaConv appThm 9827 remove appThm absThm absThm appThm appThm nil 24 ref 10175 remove 1315 ref 9652 ref 251 ref 8649 ref appTerm 9682 ref appTerm absTerm absTerm 10189 def appTerm nil cons cons nil cons nil cons cons 1063 remove subst trans appThm 10185 remove refl 10190 def appThm sym 182 ref nil 9919 remove 10189 ref nil cons cons nil cons nil cons cons 1212 ref 947 remove subst subst 9647 ref refl 10191 def 6590 ref 68 ref 824 ref 1315 ref 6590 ref varTerm 10192 def 1320 ref appTerm 10193 def absTerm appTerm appTerm 10194 def refl 1138 ref 1315 ref 10 ref 10193 remove appTerm 10195 def refl 3492 ref 9652 ref 182 ref 10189 remove 9656 ref appTerm betaConv 8761 ref appThm 9976 ref 251 ref 9682 ref appTerm 10196 def 9977 ref 194 ref appTerm 10197 def appTerm absTerm 1320 ref appTerm betaConv trans appThm 820 ref 10192 ref 9656 ref appTerm appTerm 10198 def refl appThm absThm appThm appThm absThm appThm appThm absThm appThm trans appThm 10190 remove appThm sym nil 83 ref 9647 ref 6590 ref 10194 remove 824 ref 1315 ref 10195 remove 1319 ref 9652 ref 68 ref 10196 remove 8649 ref appTerm appTerm 10198 remove appTerm absTerm appTerm appTerm absTerm appTerm appTerm absTerm 10199 def appTerm nil cons 10200 def cons 10201 def 10187 ref cons nil cons cons 10202 def 100 ref subst 10202 remove 157 ref subst nil 9820 remove 84 ref 9699 ref cons nil cons cons nil cons cons 157 ref subst 9669 ref assume 10203 def eqMp nil 83 ref 10 ref 9812 remove appTerm 9669 ref appTerm 10204 def nil cons cons 84 ref 824 ref 9652 ref 10171 remove absTerm appTerm 10205 def nil cons 10206 def cons nil cons cons nil cons cons 144 ref subst proveHyp 183 ref 68 ref 10204 remove appTerm 10205 remove appTerm 10207 def absTerm 10208 def 194 ref appTerm 10209 def betaConv 10210 def nil 9700 ref 84 ref 27 ref 824 ref 9652 ref 9671 ref 178 ref 613 ref 68 ref 9653 ref 621 ref appTerm 10211 def appTerm 9659 ref appTerm 10212 def absTerm appTerm appTerm absTerm appTerm 10213 def appTerm 10214 def 30 ref appTerm 10215 def nil cons 10216 def cons nil cons cons nil cons cons 10217 def 100 ref subst 10217 remove 157 ref subst 1138 ref 9652 ref 9735 ref 179 ref 613 ref nil 1036 ref 84 ref 9738 remove 9659 ref appTerm 10218 def nil cons 10219 def cons nil cons 10220 def cons nil cons cons 10221 def 100 ref subst 10221 remove 157 ref subst 9659 ref refl 10222 def eqMp nil 1041 ref 121 ref 10219 remove cons nil cons 10223 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 1035 ref 10218 ref appTerm nil cons cons 84 ref 27 ref 10212 remove appTerm 10224 def 1035 ref 9659 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1657 ref 9760 ref cons nil cons nil cons cons 10225 def nil 187 ref 9742 ref cons nil cons nil cons cons 10226 def 2256 remove 193 remove appTerm 10227 def betaConv 2258 remove nil 2260 remove 84 ref 10227 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 2434 remove 208 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 2255 remove nil cons cons 84 ref 27 ref 1745 ref appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 119 ref 1745 remove nil cons cons nil cons nil cons cons 1042 remove subst eqMp 10228 def subst nil 83 ref 27 ref 10211 ref appTerm 10229 def 841 ref appTerm nil cons cons 84 ref 68 ref 1035 ref 9750 ref appTerm appTerm 10224 ref 1035 ref 1660 ref appTerm 10230 def appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 1031 remove cons nil cons nil cons cons 10231 def 1657 ref 68 ref 10229 remove 1663 ref appTerm appTerm 9754 ref 10224 remove 1665 ref appTerm appTerm appTerm absTerm 10232 def 1660 ref appTerm 10233 def betaConv 1662 ref 311 ref 10232 ref appTerm 10234 def absTerm 10235 def 1663 ref appTerm 10236 def betaConv nil 9761 ref 83 ref 10211 remove nil cons cons nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 10235 ref appTerm nil cons cons 84 ref 10236 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10235 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 10234 remove nil cons cons 84 ref 10233 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10232 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp nil 24 ref 9760 remove cons nil cons nil cons cons 1049 ref subst trans absThm appThm 3546 ref trans appThm nil 24 ref 9663 remove nil cons 10237 def cons nil cons nil cons cons 1285 remove subst trans absThm appThm nil 24 ref 9667 remove nil cons 10238 def cons nil cons nil cons cons 33 ref subst 10188 remove 581 ref subst nil 119 ref 9666 remove nil cons cons 121 ref 10238 ref cons nil cons cons nil cons cons 581 ref subst proveHyp eqMp trans eqMp nil 119 ref 9699 ref cons 10239 def 121 ref 10216 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 9670 ref 10215 remove appTerm nil cons cons 84 ref 27 ref 68 ref 10 ref 178 ref 558 ref 68 ref 3494 ref 621 ref appTerm 10240 def appTerm 9811 ref appTerm 10241 def absTerm appTerm appTerm 9669 ref appTerm 10242 def appTerm 10213 ref appTerm 10243 def appTerm 10244 def 9670 ref 30 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 3538 remove 23 ref 179 ref 558 ref nil 1036 remove 84 ref 27 ref 9811 ref appTerm 10245 def 9811 ref appTerm 10246 def nil cons 10247 def cons nil cons 10248 def cons nil cons cons 10249 def 100 ref subst 10249 remove 157 ref subst 9811 ref refl 10250 def eqMp nil 1041 remove 121 ref 10247 remove cons nil cons 10251 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 1035 ref 10246 ref appTerm nil cons cons 84 ref 27 ref 10241 remove appTerm 10252 def 1035 ref 9811 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1657 ref 9811 ref nil cons 10253 def cons nil cons nil cons cons 10254 def nil 187 remove 683 remove cons nil cons nil cons cons 10255 def 10228 remove subst nil 83 ref 27 ref 10240 ref appTerm 10256 def 841 ref appTerm nil cons cons 84 ref 68 ref 1035 remove 10245 remove 1660 ref appTerm 10257 def appTerm appTerm 10252 ref 10230 remove appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10231 remove 1657 ref 68 ref 10256 remove 1663 ref appTerm appTerm 68 ref 1664 ref 10257 ref appTerm appTerm 10258 def 10252 remove 1665 ref appTerm appTerm appTerm absTerm 10259 def 1660 ref appTerm 10260 def betaConv 1662 ref 311 ref 10259 ref appTerm 10261 def absTerm 10262 def 1663 ref appTerm 10263 def betaConv nil 84 ref 10253 ref cons 10264 def 83 ref 10240 remove nil cons cons nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 10262 ref appTerm nil cons cons 84 ref 10263 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10262 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 10261 remove nil cons cons 84 ref 10260 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10259 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp nil 24 ref 10253 remove cons nil cons nil cons cons 1049 remove subst trans absThm appThm 3546 remove trans appThm 9669 ref refl 10265 def appThm nil 24 ref 9699 ref cons nil cons nil cons cons 10266 def 324 remove subst trans nil 83 ref 27 ref 10242 ref appTerm 10267 def 9669 ref appTerm nil cons cons 84 ref 68 ref 9670 ref 10214 remove 1660 ref appTerm 10268 def appTerm appTerm 10244 ref 9670 ref 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 9699 remove cons nil cons nil cons cons 1657 ref 68 ref 10267 remove 1663 ref appTerm appTerm 68 ref 1664 ref 10268 remove appTerm appTerm 10244 remove 1665 ref appTerm appTerm appTerm absTerm 10269 def 1660 ref appTerm 10270 def betaConv 1662 ref 311 ref 10269 ref appTerm 10271 def absTerm 10272 def 1663 ref appTerm 10273 def betaConv nil 84 ref 10213 remove nil cons cons 83 ref 10242 remove nil cons cons nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 10272 ref appTerm nil cons cons 84 ref 10273 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10272 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 10271 remove nil cons cons 84 ref 10270 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10269 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp 10266 remove 1753 remove subst trans sym 32 ref eqMp nil 83 ref 10243 ref nil cons cons 84 ref 178 ref 183 ref 68 ref 10207 ref appTerm 68 ref 10 ref 178 ref 558 ref 68 ref 3494 remove 235 ref appTerm 10274 def appTerm 9811 ref appTerm 10275 def absTerm appTerm appTerm 9669 ref appTerm 10276 def appTerm 824 ref 9652 ref 9671 ref 178 ref 613 ref 68 ref 9653 remove 235 ref appTerm 10277 def appTerm 9659 ref appTerm 10278 def absTerm appTerm appTerm absTerm appTerm 10279 def appTerm 10280 def appTerm 10281 def absTerm 10282 def appTerm 10283 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 206 ref 10282 remove nil cons cons nil cons nil cons cons 223 ref subst 183 ref nil 24 ref 10281 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10207 remove nil cons 10284 def cons 84 ref 10280 ref nil cons 10285 def cons nil cons cons nil cons cons 10286 def 100 ref subst 10286 remove 157 ref subst nil 83 ref 10 ref 178 ref 558 ref 68 ref 901 ref 195 ref 561 ref appTerm 194 ref appTerm 10287 def appTerm 3495 ref appTerm 10288 def appTerm 10289 def 9811 remove appTerm 10290 def absTerm appTerm appTerm 9669 remove appTerm 10291 def nil cons 10292 def cons 10293 def 84 ref 27 ref 10279 ref appTerm 10294 def 824 ref 9652 ref 9671 ref 178 ref 613 ref 68 ref 901 ref 195 ref 614 ref appTerm 194 ref appTerm appTerm 9654 ref appTerm 10295 def appTerm 10296 def 9659 ref appTerm 10297 def absTerm 10298 def appTerm 10299 def appTerm absTerm 10300 def appTerm 10301 def appTerm 10302 def nil cons 10303 def cons nil cons cons nil cons cons 10304 def 100 ref subst 10304 remove 157 ref subst 1138 ref 9652 ref 9735 ref 179 ref 613 ref nil 83 ref 10295 ref nil cons 10305 def cons 10306 def 10220 remove cons nil cons cons 10307 def 100 ref subst 10307 remove 157 ref subst 10222 remove eqMp nil 119 ref 10305 ref cons 10223 remove cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 10296 ref 10218 remove appTerm nil cons cons 84 ref 27 ref 10278 remove appTerm 10308 def 10297 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10225 remove 10226 remove 8931 ref subst nil 83 ref 27 ref 10277 ref appTerm 10309 def 10295 ref appTerm nil cons cons 84 ref 68 ref 10296 ref 9750 remove appTerm appTerm 10308 ref 10296 remove 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 10305 remove cons nil cons nil cons cons 1657 ref 68 ref 10309 remove 1663 ref appTerm appTerm 9754 remove 10308 remove 1665 ref appTerm appTerm appTerm absTerm 10310 def 1660 ref appTerm 10311 def betaConv 1662 ref 311 ref 10310 ref appTerm 10312 def absTerm 10313 def 1663 ref appTerm 10314 def betaConv nil 9761 ref 83 ref 10277 remove nil cons cons nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 10313 ref appTerm nil cons cons 84 ref 10314 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10313 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 10312 remove nil cons cons 84 ref 10311 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10310 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp absThm appThm appThm absThm appThm eqMp nil 119 ref 10292 ref cons 10315 def 121 ref 10303 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 68 ref 10291 ref appTerm 10316 def 10302 remove appTerm nil cons cons 84 ref 27 ref 10280 remove appTerm 10317 def 10316 ref 10301 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1657 ref 10301 ref nil cons 10318 def cons nil cons nil cons cons 23 ref 179 ref 558 ref nil 83 ref 10288 ref nil cons 10319 def cons 10320 def 10248 remove cons nil cons cons 10321 def 100 ref subst 10321 remove 157 ref subst 10250 remove eqMp nil 119 ref 10319 ref cons 10251 remove cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 10289 ref 10246 remove appTerm nil cons cons 84 ref 27 ref 10275 remove appTerm 10322 def 10290 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10254 remove 10255 remove 8931 remove subst nil 83 ref 27 ref 10274 ref appTerm 10323 def 10288 remove appTerm nil cons cons 84 ref 68 ref 10289 ref 10257 remove appTerm appTerm 10322 ref 10289 remove 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 10319 remove cons nil cons nil cons cons 1657 ref 68 ref 10323 remove 1663 ref appTerm appTerm 10258 remove 10322 remove 1665 ref appTerm appTerm appTerm absTerm 10324 def 1660 ref appTerm 10325 def betaConv 1662 ref 311 ref 10324 ref appTerm 10326 def absTerm 10327 def 1663 ref appTerm 10328 def betaConv nil 10264 ref 83 ref 10274 remove nil cons cons nil cons cons nil cons cons 1740 ref subst nil 83 ref 311 ref 10327 ref appTerm nil cons cons 84 ref 10328 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10327 remove nil cons cons 1741 ref cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 10326 remove nil cons cons 84 ref 10325 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10324 remove nil cons cons 1742 ref cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp absThm appThm appThm 10265 remove appThm nil 83 ref 27 ref 10276 ref appTerm 10329 def 10291 ref appTerm nil cons cons 84 ref 68 ref 10316 ref 10294 remove 1660 ref appTerm 10330 def appTerm appTerm 10317 ref 10316 remove 1660 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp nil 1662 ref 10292 remove cons nil cons nil cons cons 1657 remove 68 ref 10329 remove 1663 ref appTerm appTerm 68 ref 1664 remove 10330 remove appTerm appTerm 10317 remove 1665 remove appTerm appTerm appTerm absTerm 10331 def 1660 remove appTerm 10332 def betaConv 1662 remove 311 ref 10331 ref appTerm 10333 def absTerm 10334 def 1663 remove appTerm 10335 def betaConv nil 84 ref 10279 remove nil cons cons 83 ref 10276 remove nil cons cons nil cons cons nil cons cons 1740 remove subst nil 83 ref 311 remove 10334 ref appTerm nil cons cons 84 ref 10335 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 ref 314 ref 10334 remove nil cons cons 1741 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 10333 remove nil cons cons 84 ref 10332 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 313 remove 314 remove 10331 remove nil cons cons 1742 remove cons nil cons cons 173 ref subst eqMp eqMp subst eqMp subst eqMp sym nil 10293 remove 84 ref 10318 ref cons nil cons cons nil cons cons 10336 def 100 ref subst 10336 remove 157 ref subst nil 83 ref 10318 ref cons nil cons nil cons cons 1777 ref subst sym nil 83 ref 820 ref 10301 remove appTerm 10337 def nil cons 10338 def cons 1032 ref cons nil cons cons 10339 def 100 ref subst 10339 remove 157 ref subst nil 1176 ref 10300 ref nil cons cons nil cons nil cons cons 9880 remove subst 3492 ref 9652 ref 932 ref 10300 remove 9656 ref appTerm betaConv appThm nil 83 ref 10237 remove cons 10340 def 84 ref 10299 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 1874 ref 9664 ref refl 10341 def appThm 10342 def nil 206 ref 10298 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 613 ref 932 ref 10298 remove 614 ref appTerm betaConv appThm nil 10306 remove 9761 remove nil cons 10343 def cons nil cons cons 1988 ref subst trans absThm appThm trans appThm trans trans absThm appThm trans 3492 ref 9652 ref 123 ref 10342 ref 1345 ref 613 ref 613 ref 10 ref 10295 remove appTerm 820 ref 9659 ref appTerm 10344 def appTerm 10345 def absTerm 10346 def 614 ref appTerm betaConv 10347 def absThm appThm appThm appThm 1345 ref 613 ref 10342 ref 10347 remove appThm absThm appThm appThm nil 1996 ref 10346 remove nil cons cons 83 ref 9664 ref nil cons 10348 def cons nil cons 10349 def cons nil cons cons 2007 ref subst eqMp absThm appThm 123 ref 3492 ref 9652 ref 1345 ref 613 ref 9652 ref 613 ref 901 ref 9664 ref appTerm 10350 def 10345 remove appTerm absTerm 10351 def absTerm 10352 def 9656 ref appTerm betaConv 10353 def 9169 ref appThm 10351 ref 614 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 821 ref 39 remove cons opType 10354 def 3 ref cons opType 10355 def 3 ref cons opType 10356 def constTerm 10357 def refl 10358 def "f" 10354 ref var 10359 def 3492 ref 9652 ref 10353 remove 10359 ref varTerm 10360 def 9656 ref appTerm 10361 def refl 10362 def appThm 10351 remove 10361 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 821 ref 5 remove cons opType var 10363 def 10352 remove nil cons cons nil cons nil cons cons 41 remove 1175 ref cons 43 ref cons 1121 ref subst 10364 def subst eqMp trans trans 10337 remove assume eqMp nil 83 ref 10357 ref 10359 ref 1319 ref 9652 ref 10350 ref 10 ref 901 ref 195 ref 10361 ref appTerm 194 ref appTerm appTerm 22 ref 10361 ref appTerm 194 ref appTerm 10365 def appTerm appTerm 820 ref 531 ref 9656 ref 10361 ref appTerm appTerm 1320 ref 10361 ref appTerm appTerm appTerm 10366 def appTerm appTerm absTerm appTerm 10367 def absTerm 10368 def appTerm 10369 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 10355 ref var 10370 def 10359 ref 68 ref 10368 ref 10360 ref appTerm 10371 def appTerm 841 ref appTerm 10372 def absTerm nil cons cons nil cons nil cons cons "A" 10354 ref nil cons 10373 def cons nil cons 10374 def 43 ref cons 10375 def 222 ref subst 10376 def subst 10359 ref nil 24 ref 10372 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10371 ref nil cons 10377 def cons 1032 ref cons nil cons cons 10378 def 100 ref subst 10378 remove 157 ref subst 10371 ref betaConv 10371 remove assume eqMp nil 83 ref 10367 ref nil cons 10379 def cons 1032 ref cons nil cons cons 10380 def 144 ref subst proveHyp 10380 ref 100 ref subst 10380 remove 157 ref subst 23 ref 179 ref 558 ref nil 10320 remove 10264 remove nil cons cons nil cons cons 1910 ref subst 1874 ref nil 83 ref 10287 ref nil cons cons 84 ref 3495 ref nil cons cons nil cons cons nil cons cons nil 1856 remove 84 ref 27 ref 820 ref 1997 remove 87 ref appTerm appTerm appTerm 9031 remove appTerm nil cons 10381 def cons nil cons 10382 def cons nil cons cons 10383 def 100 ref subst 10383 remove 157 ref subst 27 ref "_538" 2 ref var 10384 def 27 ref 820 ref 901 ref 10384 remove varTerm 10385 def appTerm 87 ref appTerm appTerm appTerm 10 ref 820 ref 10385 remove appTerm appTerm 1911 ref appTerm appTerm absTerm 10386 def 85 remove appTerm 10387 def appTerm refl 10388 def 10386 ref 841 ref appTerm betaConv appThm 123 ref 10387 remove betaConv appThm 10389 def 27 ref 820 ref 1898 remove 87 ref appTerm appTerm appTerm 9041 remove appTerm refl appThm trans 10386 remove refl 10390 def 1872 remove appThm eqMp sym 123 ref 932 ref 1903 remove appThm appThm 9043 remove appThm 1940 remove trans sym 32 ref eqMp eqMp eqMp nil 1884 remove 121 ref 10381 ref cons nil cons 10391 def cons nil cons cons 135 ref subst deductAntisym eqMp nil 1888 remove 10382 remove cons nil cons cons 10392 def 100 ref subst 10392 remove 157 ref subst 10388 remove "_536" 2 remove var 10393 def 27 ref 820 ref 901 ref 10393 remove varTerm 10394 def appTerm 87 ref appTerm appTerm appTerm 10 ref 820 ref 10394 remove appTerm appTerm 1911 remove appTerm appTerm absTerm 30 remove appTerm betaConv appThm 10389 remove 27 ref 820 ref 1876 remove 87 remove appTerm appTerm appTerm 9048 remove appTerm refl appThm trans 10390 remove 1895 remove appThm eqMp sym 123 ref 932 ref 1881 remove appThm 897 remove trans appThm 9049 remove appThm 1981 remove trans sym 32 ref eqMp eqMp eqMp nil 1906 ref 10391 remove cons nil cons cons 135 ref subst deductAntisym eqMp 1908 remove nil 1906 remove 1909 remove 911 remove 10381 remove cons nil cons cons cons nil cons cons 931 ref subst proveHyp proveHyp proveHyp subst appThm 23 ref 1138 ref 9652 ref 9735 remove 23 ref 179 ref 613 ref nil 83 ref 9800 ref nil cons cons 10395 def 10343 ref cons nil cons cons 1910 ref subst absThm appThm appThm 9804 ref refl appThm appThm absThm appThm appThm 3492 ref 9672 ref nil 83 ref 9807 remove nil cons cons 84 ref 9810 ref nil cons cons nil cons 10396 def cons nil cons cons 1910 ref subst 1874 ref nil 83 ref 9674 ref nil cons cons 10397 def 84 ref 9806 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 1874 ref 820 ref 9674 remove appTerm 10398 def refl appThm 10399 def nil 206 ref 9805 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 613 ref 932 ref 9805 remove 614 ref appTerm betaConv appThm nil 10395 remove 9782 remove nil cons cons nil cons cons 1988 ref subst trans absThm appThm trans appThm trans appThm 9810 ref refl 10400 def appThm trans absThm appThm appThm appThm trans absThm appThm appThm 7984 ref 23 ref 3492 ref 1315 ref nil 83 ref 9651 remove nil cons cons 84 ref 9665 remove nil cons cons nil cons cons nil cons cons 1910 ref subst 1874 ref nil 83 ref 9650 ref nil cons cons nil cons 10401 def nil cons cons 1775 ref subst appThm 1345 ref 183 ref 3492 ref 9652 ref nil 83 ref 9662 remove nil cons cons 84 ref 10348 remove cons nil cons 10402 def cons nil cons cons 1910 ref subst 1874 ref nil 206 ref 9661 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 613 ref 932 ref 9661 remove 614 ref appTerm betaConv appThm nil 9737 ref 10343 remove cons nil cons cons 1988 ref subst trans absThm appThm trans appThm 10341 ref appThm trans absThm appThm absThm appThm appThm trans absThm appThm appThm 1138 ref 1315 ref 9650 ref refl absThm appThm 10403 def appThm appThm 10404 def appThm 23 ref 179 ref 558 ref 901 ref 10 ref 820 ref 10287 remove appTerm 10405 def appTerm 10406 def 820 ref 3495 remove appTerm appTerm 10407 def appTerm 10408 def refl 10409 def 10 ref 824 ref 9652 ref 9671 ref 10 ref 178 ref 613 ref 901 ref 820 ref 9800 ref appTerm appTerm 10410 def 9659 remove appTerm absTerm appTerm appTerm 9804 remove appTerm appTerm 10411 def absTerm 10412 def appTerm appTerm refl 3492 ref 9672 ref 1874 ref 123 ref 10399 ref 1345 ref 613 ref 613 ref 10 ref 9800 remove appTerm 820 ref 9712 remove appTerm appTerm 10413 def absTerm 10414 def 614 ref appTerm betaConv 10415 def absThm appThm appThm appThm 1345 ref 613 ref 10399 ref 10415 remove appThm absThm appThm appThm nil 1996 ref 10414 remove nil cons cons 83 ref 10398 ref nil cons cons nil cons 10416 def cons nil cons cons 2007 ref subst eqMp appThm 10400 ref appThm 123 ref 1874 ref 1345 ref 613 ref 613 ref 901 ref 10398 remove appTerm 10417 def 10413 remove appTerm 10418 def absTerm 10419 def 614 ref appTerm betaConv 10420 def absThm appThm appThm 10400 ref appThm appThm 1345 ref 613 ref 1874 ref 10420 remove appThm 10400 remove appThm absThm appThm appThm nil 287 ref 10419 remove nil cons cons 10396 remove cons nil cons cons 2028 ref subst eqMp trans absThm appThm 123 ref 3492 ref 9672 ref 1345 ref 613 ref 9672 ref 613 ref 901 ref 10418 remove appTerm 9810 ref appTerm absTerm 10421 def absTerm 10422 def 9673 ref appTerm betaConv 10423 def 9169 ref appThm 10421 ref 614 ref appTerm betaConv trans absThm appThm absThm appThm appThm 10358 ref 10359 ref 3492 ref 9672 ref 10423 remove 10360 ref 9673 ref appTerm 10424 def refl 10425 def appThm 10421 remove 10424 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 10363 ref 10422 remove nil cons cons nil cons nil cons cons 10364 ref subst eqMp trans appThm 123 ref 23 ref 1138 ref 9652 ref 10412 ref 9656 ref appTerm betaConv 10426 def absThm appThm appThm 10357 ref 10359 ref 1319 ref 9672 ref 901 ref 10417 ref 10 ref 22 ref 10424 ref appTerm 10427 def 561 ref appTerm appTerm 820 ref 531 ref 9673 ref 10424 ref appTerm appTerm 10428 def 1320 ref 10424 ref appTerm appTerm appTerm appTerm appTerm appTerm 9810 ref appTerm absTerm appTerm 10429 def absTerm 10430 def appTerm 10431 def refl 10432 def appThm appThm 1138 ref 9652 ref 23 ref 10426 remove appThm 10432 remove appThm absThm appThm appThm nil 6590 ref 10412 remove nil cons cons 84 ref 10431 remove nil cons cons nil cons cons nil cons cons 9897 remove subst eqMp 1138 ref 9652 ref 123 ref 10 ref 10411 ref appTerm 10433 def refl 10434 def 10358 ref 10359 ref 10430 ref 10360 ref appTerm betaConv 10435 def absThm appThm appThm appThm 10358 ref 10359 ref 10434 remove 10435 remove appThm absThm appThm appThm nil "q" 10355 ref var 10436 def 10430 remove nil cons cons 83 ref 10411 remove nil cons cons nil cons cons nil cons cons 10375 ref 2353 ref subst 10437 def subst eqMp absThm appThm trans trans appThm 123 ref 10409 ref 1138 ref 9652 ref 9652 ref 10357 ref 10359 ref 10433 remove 10429 ref appTerm 10438 def absTerm 10439 def appTerm absTerm 10440 def 9656 ref appTerm betaConv 10441 def absThm appThm appThm appThm 1138 ref 9652 ref 10409 ref 10441 remove appThm absThm appThm appThm nil 6591 ref 10440 remove nil cons cons 83 ref 10407 remove nil cons cons nil cons 10442 def cons nil cons cons 9907 ref subst eqMp 1138 ref 9652 ref 123 ref 10409 ref 10358 ref 10359 ref 10439 ref 10360 ref appTerm betaConv 10443 def absThm appThm appThm appThm 10358 ref 10359 ref 10409 remove 10443 remove appThm absThm appThm appThm nil 10436 ref 10439 remove nil cons cons 10442 remove cons nil cons cons 10375 ref 2006 remove subst 10444 def subst eqMp absThm appThm trans trans absThm appThm 123 ref 179 ref 558 ref 1138 ref 9652 ref 558 ref 9652 ref 10357 ref 10359 ref 10408 ref 10438 remove appTerm absTerm appTerm absTerm 10445 def absTerm 10446 def 561 ref appTerm betaConv 10447 def 9656 ref refl 10448 def appThm 10445 ref 9656 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 1 ref 1148 remove cons opType 10449 def 3 ref cons opType 10450 def 3 ref cons opType 10451 def constTerm 10452 def refl 10453 def "f" 10449 ref var 10454 def 179 ref 558 ref 10447 remove 10454 ref varTerm 10455 def 561 ref appTerm 10456 def refl appThm 10445 remove 10456 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 1 ref 1434 ref cons opType var 10457 def 10446 remove nil cons cons nil cons nil cons cons 1437 ref 205 ref cons 43 ref cons 1121 ref subst 10458 def subst eqMp 10453 ref 10454 ref 123 ref 179 ref 558 ref 10358 ref 10359 ref 558 ref 10359 ref 10408 ref 10 ref 10 ref 9649 ref 10456 ref appTerm appTerm 10 ref 178 ref 613 ref 10410 ref 531 ref 10456 ref 614 ref appTerm appTerm 8922 ref appTerm appTerm absTerm appTerm appTerm 531 ref 10456 remove 561 ref appTerm appTerm 9704 ref appTerm appTerm appTerm appTerm 10459 def 10429 remove appTerm appTerm absTerm 10460 def absTerm 10461 def 561 ref appTerm betaConv 10462 def 10360 ref refl 10463 def appThm 10460 ref 10360 ref appTerm betaConv trans absThm appThm absThm appThm appThm 330 ref 0 ref 0 ref 0 ref 1 ref 10373 ref cons opType 10464 def 3 ref cons opType 10465 def 3 ref cons opType 10466 def constTerm 10467 def refl 10468 def "f" 10464 ref var 10469 def 179 ref 558 ref 10462 remove 10469 ref varTerm 10470 def 561 ref appTerm 10471 def refl appThm 10460 remove 10471 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 1 ref 10355 ref nil cons 10472 def cons opType var 10473 def 10461 remove nil cons cons nil cons nil cons cons "B" 10373 ref cons 10474 def 205 ref cons 43 ref cons 1121 ref subst 10475 def subst eqMp absThm appThm trans trans appThm 7984 ref 23 ref 3492 ref 1315 ref 901 ref 9650 ref appTerm 10476 def refl 10477 def 1345 ref 183 ref 3492 ref 9652 ref 123 ref 1874 ref 1345 ref 613 ref 613 ref 10 ref 9654 ref appTerm 10478 def 10344 remove appTerm 10479 def absTerm 10480 def 614 ref appTerm betaConv 10481 def absThm appThm appThm 10341 ref appThm appThm 1345 ref 613 ref 1874 ref 10481 remove appThm 10341 remove appThm absThm appThm appThm nil 287 ref 10480 remove nil cons cons 10402 remove cons nil cons cons 2028 ref subst eqMp absThm appThm 123 ref 3492 ref 9652 ref 1345 ref 613 ref 9652 ref 613 ref 901 ref 10479 remove appTerm 9664 ref appTerm absTerm 10482 def absTerm 10483 def 9656 ref appTerm betaConv 10484 def 9169 ref appThm 10482 ref 614 ref appTerm betaConv trans absThm appThm absThm appThm appThm 10358 ref 10359 ref 3492 ref 9652 ref 10484 remove 10362 remove appThm 10482 remove 10361 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 10363 ref 10483 remove nil cons cons nil cons nil cons cons 10364 ref subst eqMp trans absThm appThm appThm 123 ref 10477 ref 1345 ref 183 ref 183 ref 10357 ref 10359 ref 1319 ref 9652 ref 901 ref 10 ref 10365 remove appTerm 10366 remove appTerm appTerm 9664 ref appTerm absTerm appTerm 10485 def absTerm 10486 def appTerm absTerm 10487 def 194 ref appTerm betaConv 10488 def absThm appThm appThm appThm 1345 ref 183 ref 10477 ref 10488 remove appThm absThm appThm appThm nil 1996 ref 10487 remove nil cons cons 10401 ref cons nil cons cons 2007 ref subst eqMp 1345 ref 183 ref 123 ref 10477 ref 10358 ref 10359 ref 10486 ref 10360 ref appTerm betaConv 10489 def absThm appThm appThm appThm 10358 ref 10359 ref 10477 remove 10489 remove appThm absThm appThm appThm nil 10436 ref 10486 remove nil cons cons 10401 remove cons nil cons cons 10444 remove subst eqMp absThm appThm trans trans absThm appThm 123 ref 3492 ref 1315 ref 1345 ref 183 ref 1315 ref 183 ref 10357 ref 10359 ref 10476 ref 10485 remove appTerm absTerm appTerm absTerm 10490 def absTerm 10491 def 1320 ref appTerm betaConv 10492 def 1146 ref appThm 10490 ref 194 ref appTerm betaConv trans absThm appThm absThm appThm appThm 10358 ref 10359 ref 3492 ref 1315 ref 10492 remove 10360 ref 1320 ref appTerm 10493 def refl appThm 10490 remove 10493 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 10363 ref 10491 remove nil cons cons nil cons nil cons cons 10364 ref subst eqMp 10358 ref 10359 ref 123 ref 3492 ref 1315 ref 10358 ref "f'" 10354 ref var 10494 def 1315 ref 10494 ref 10476 ref 1319 ref 9652 ref 901 ref 10 ref 22 ref 10494 remove varTerm 10495 def 9656 ref appTerm 10496 def appTerm 10493 ref appTerm appTerm 820 ref 531 ref 9656 ref 10496 ref appTerm appTerm 1320 ref 10496 remove appTerm appTerm appTerm appTerm appTerm 9664 ref appTerm absTerm appTerm appTerm absTerm 10497 def absTerm 10498 def 1320 ref appTerm betaConv 10499 def 10495 ref refl appThm 10497 ref 10495 remove appTerm betaConv trans absThm appThm absThm appThm appThm 330 remove 0 ref 0 ref 0 ref 821 ref 10373 ref cons opType 10500 def 3 ref cons opType 10501 def 3 remove cons opType 10502 def constTerm 10503 def refl 10504 def "f" 10500 ref var 10505 def 3492 ref 1315 ref 10499 remove 10505 ref varTerm 10506 def 1320 ref appTerm 10507 def refl appThm 10497 remove 10507 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 0 ref 821 ref 10472 remove cons opType var 10498 remove nil cons cons nil cons nil cons cons 10474 ref 1175 ref cons 43 ref cons 1121 remove subst subst eqMp absThm appThm trans trans appThm 10403 ref appThm 123 ref 23 ref 10358 ref 10359 ref 10359 ref 10503 ref 10505 ref 1319 ref 1315 ref 10476 ref 1319 ref 9652 ref 901 ref 10 ref 22 ref 10507 remove 9656 ref appTerm 10508 def appTerm 10509 def 10493 remove appTerm appTerm 820 ref 531 ref 9656 ref 10508 ref appTerm appTerm 1320 ref 10508 remove appTerm appTerm appTerm 10510 def appTerm appTerm 9664 ref appTerm absTerm appTerm appTerm absTerm appTerm 10511 def absTerm 10512 def appTerm absTerm 10513 def 10360 ref appTerm betaConv 10514 def absThm appThm appThm 10403 ref appThm appThm 10358 ref 10359 ref 23 ref 10514 remove appThm 10403 ref appThm absThm appThm appThm nil "p" 10355 remove var 10513 remove nil cons cons 84 ref 10238 remove cons nil cons 10515 def cons nil cons cons 10375 remove 2659 ref subst subst eqMp 10358 ref 10359 ref 123 ref 23 ref 10504 ref 10505 ref 10512 ref 10506 ref appTerm betaConv 10516 def absThm appThm appThm 10403 ref appThm appThm 10504 ref 10505 ref 23 ref 10516 remove appThm 10403 remove appThm absThm appThm appThm nil "p" 10501 ref var 10512 remove nil cons cons 10515 remove cons nil cons cons "A" 10500 ref nil cons 10517 def cons nil cons 10518 def 43 ref cons 10519 def 2659 ref subst subst eqMp 10504 ref 10505 ref nil 6591 ref 9833 ref cons 83 ref 10511 ref nil cons cons nil cons cons nil cons cons 9959 ref subst absThm appThm trans absThm appThm trans trans appThm 123 ref 7984 ref 10358 ref 10359 ref 10359 ref 10503 ref 10505 ref 824 ref 1315 ref 10 ref 10511 remove appTerm 10520 def 9650 ref appTerm 10521 def absTerm 10522 def appTerm absTerm 10523 def appTerm absTerm 10524 def 10360 ref appTerm betaConv 10525 def absThm appThm appThm appThm 10358 ref 10359 ref 7984 ref 10525 remove appThm absThm appThm appThm nil 10436 ref 10524 remove nil cons cons 8038 ref cons nil cons cons 10437 ref subst eqMp 10358 ref 10359 ref 123 ref 7984 ref 10504 ref 10505 ref 10523 ref 10506 ref appTerm betaConv 10526 def absThm appThm appThm appThm 10504 ref 10505 ref 7984 ref 10526 remove appThm absThm appThm appThm nil "q" 10501 ref var 10527 def 10523 remove nil cons cons 8038 ref cons nil cons cons 10519 ref 2353 ref subst 10528 def subst eqMp 10504 ref 10505 ref 123 ref 7984 ref 1138 ref 1315 ref 10522 ref 1320 ref appTerm betaConv 10529 def absThm appThm appThm appThm 1138 ref 1315 ref 7984 remove 10529 remove appThm absThm appThm appThm nil 6591 ref 10522 remove nil cons cons 8038 remove cons nil cons cons 9959 ref subst eqMp absThm appThm trans absThm appThm trans trans 10530 def appThm 123 ref 23 ref 10453 ref 10454 ref 10454 ref 10467 ref 10469 ref 178 ref 558 ref 10408 ref 10459 remove 1319 ref 9672 ref 901 ref 10417 ref 10 ref 22 ref 10471 remove 9673 ref appTerm 10531 def appTerm 561 ref appTerm appTerm 820 ref 531 ref 9673 ref 10531 ref appTerm appTerm 1320 ref 10531 remove appTerm appTerm appTerm appTerm appTerm appTerm 9810 ref appTerm absTerm appTerm 10532 def appTerm appTerm absTerm appTerm 10533 def absTerm 10534 def appTerm absTerm 10535 def 10455 ref appTerm betaConv 10536 def absThm appThm appThm 10357 ref 10359 ref 10503 ref 10505 ref 824 ref 1315 ref 8043 ref 10521 remove appTerm absTerm 10537 def appTerm absTerm 10538 def appTerm absTerm 10539 def appTerm 10540 def refl 10541 def appThm appThm 10453 ref 10454 ref 23 ref 10536 remove appThm 10541 ref appThm absThm appThm appThm nil "p" 10450 ref var 10542 def 10535 remove nil cons cons 84 ref 10540 ref nil cons 10543 def cons nil cons 10544 def cons nil cons cons "A" 10449 ref nil cons 10545 def cons nil cons 10546 def 43 ref cons 10547 def 2659 ref subst 10548 def subst eqMp 10453 ref 10454 ref 123 ref 23 ref 10468 ref 10469 ref 10534 ref 10470 ref appTerm betaConv 10549 def absThm appThm appThm 10541 ref appThm appThm 10468 ref 10469 ref 23 ref 10549 remove appThm 10541 remove appThm absThm appThm appThm nil "p" 10465 ref var 10534 remove nil cons cons 10544 remove cons nil cons cons "A" 10464 ref nil cons 10550 def cons nil cons 10551 def 43 ref cons 10552 def 2659 remove subst subst eqMp 10468 ref 10469 ref 123 ref 10 ref 10533 ref appTerm 10553 def refl 10554 def 10358 ref 10359 ref 10539 ref 10360 ref appTerm betaConv 10555 def absThm appThm appThm appThm 10358 ref 10359 ref 10554 ref 10555 remove appThm absThm appThm appThm nil 10436 remove 10539 ref nil cons 10556 def cons 83 ref 10533 remove nil cons cons nil cons 10557 def cons nil cons cons 10437 remove subst eqMp 10358 ref 10359 ref 123 ref 10554 ref 10504 ref 10505 ref 10538 ref 10506 remove appTerm betaConv 10558 def absThm appThm appThm appThm 10504 ref 10505 ref 10554 ref 10558 remove appThm absThm appThm appThm nil 10527 remove 10538 remove nil cons cons 10557 ref cons nil cons cons 10528 remove subst eqMp 10504 remove 10505 ref 123 ref 10554 ref 1138 ref 1315 ref 10537 ref 1320 ref appTerm betaConv absThm appThm appThm appThm 1138 ref "x'" 821 ref var 10559 def 10554 remove 10537 ref 10559 ref varTerm 10560 def appTerm betaConv appThm absThm appThm appThm nil 6591 ref 10537 remove nil cons cons 10557 remove cons nil cons cons 9959 remove subst eqMp absThm appThm trans absThm appThm trans absThm appThm trans absThm appThm trans trans trans 10291 remove assume eqMp nil 83 ref 10452 ref 10454 ref 10467 ref 10469 ref 10357 ref 10359 ref 10503 ref 10505 ref 824 ref 10559 ref 10553 remove 8043 ref 10520 remove 9649 ref 10560 ref appTerm 10561 def appTerm appTerm 10562 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10563 def appTerm 10564 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 10450 ref var 10565 def "f'" 10449 ref var 10566 def 68 ref 10563 ref 10566 ref varTerm 10567 def appTerm 10568 def appTerm 841 ref appTerm 10569 def absTerm nil cons cons nil cons nil cons cons 10547 remove 222 ref subst 10570 def subst 10566 remove nil 24 ref 10569 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10568 ref nil cons 10571 def cons 1032 ref cons nil cons cons 10572 def 100 ref subst 10572 remove 157 ref subst 10568 ref betaConv 10568 remove assume eqMp nil 83 ref 10467 ref 10469 ref 10357 ref 10359 ref 10503 ref 10505 ref 824 ref 10559 ref 10 ref 178 ref 558 ref 10408 ref 10 ref 10 ref 9649 ref 10567 ref 561 ref appTerm 10573 def appTerm appTerm 10 ref 178 ref 613 ref 10410 remove 531 ref 10573 ref 614 ref appTerm appTerm 8922 remove appTerm appTerm absTerm appTerm appTerm 531 ref 10573 remove 561 ref appTerm appTerm 9704 ref appTerm appTerm appTerm appTerm 10574 def 10532 remove appTerm appTerm absTerm appTerm appTerm 10562 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10575 def appTerm 10576 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 10465 ref var 10577 def "f''" 10464 ref var 10578 def 68 ref 10575 ref 10578 ref varTerm 10579 def appTerm 10580 def appTerm 841 ref appTerm 10581 def absTerm nil cons cons nil cons nil cons cons 10552 ref 222 ref subst 10582 def subst 10578 remove nil 24 ref 10581 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10580 ref nil cons 10583 def cons 1032 ref cons nil cons cons 10584 def 100 ref subst 10584 remove 157 ref subst 10580 ref betaConv 10580 remove assume eqMp nil 83 ref 10357 remove 10359 ref 10503 ref 10505 ref 824 ref 10559 ref 10 ref 178 ref 558 ref 10408 remove 10574 remove 1319 ref 9672 ref 901 ref 10417 ref 10 ref 22 ref 10579 ref 561 ref appTerm 9673 ref appTerm 10585 def appTerm 561 ref appTerm appTerm 820 ref 531 ref 9673 ref 10585 ref appTerm appTerm 1320 ref 10585 remove appTerm appTerm appTerm appTerm appTerm appTerm 9810 remove appTerm absTerm appTerm appTerm appTerm absTerm appTerm appTerm 10586 def 10562 remove appTerm absTerm appTerm absTerm appTerm absTerm 10587 def appTerm 10588 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 10370 ref "f'''" 10354 ref var 10589 def 68 ref 10587 ref 10589 ref varTerm 10590 def appTerm 10591 def appTerm 841 ref appTerm 10592 def absTerm nil cons cons nil cons nil cons cons 10376 ref subst 10589 remove nil 24 ref 10592 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10591 ref nil cons 10593 def cons 1032 ref cons nil cons cons 10594 def 100 ref subst 10594 remove 157 ref subst 10591 ref betaConv 10591 remove assume eqMp nil 83 ref 10503 ref 10505 ref 824 ref 10559 ref 10586 ref 8043 ref 10 ref 1319 ref 1315 ref 10476 ref 1319 ref 9652 ref 901 ref 10 ref 10509 ref 10590 ref 1320 ref appTerm 10595 def appTerm appTerm 10510 ref appTerm appTerm 9664 ref appTerm absTerm appTerm appTerm absTerm appTerm appTerm 10561 ref appTerm appTerm appTerm absTerm appTerm absTerm 10596 def appTerm 10597 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil "P" 10501 remove var 10598 def "f''''" 10500 ref var 10599 def 68 ref 10596 ref 10599 ref varTerm 10600 def appTerm 10601 def appTerm 841 ref appTerm 10602 def absTerm nil cons cons nil cons nil cons cons 10519 remove 222 remove subst 10603 def subst 10599 remove nil 24 ref 10602 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10601 ref nil cons 10604 def cons 1032 ref cons nil cons cons 10605 def 100 ref subst 10605 remove 157 ref subst 10601 ref betaConv 10601 remove assume eqMp nil 83 ref 824 ref 10559 ref 10586 remove 8043 ref 10 ref 1319 ref 1315 ref 10476 ref 1319 ref 9652 ref 901 ref 10 ref 22 ref 10600 ref 1320 ref appTerm 9656 ref appTerm 10606 def appTerm 10595 remove appTerm appTerm 820 ref 531 ref 9656 ref 10606 ref appTerm appTerm 1320 ref 10606 remove appTerm appTerm appTerm appTerm appTerm 9664 ref appTerm absTerm appTerm appTerm absTerm appTerm appTerm 10561 remove appTerm appTerm appTerm 10607 def absTerm 10608 def appTerm 10609 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 1176 ref 10559 ref 68 ref 10608 ref 10560 ref appTerm 10610 def appTerm 841 ref appTerm 10611 def absTerm 10612 def nil cons cons nil cons nil cons cons 1213 ref subst 10559 remove nil 24 ref 10611 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10610 ref nil cons 10613 def cons 1032 ref cons nil cons cons 10614 def 100 ref subst 10614 remove 157 ref subst 10610 ref betaConv 10610 remove assume eqMp nil 83 ref 10607 ref nil cons 10615 def cons 1032 ref cons nil cons cons 10616 def 144 ref subst proveHyp 10616 ref 100 ref subst 10616 remove 157 ref subst 1146 ref nil 6380 ref 84 ref 4955 ref 0 ref 822 ref 1434 remove cons opType constTerm 9649 ref appTerm 10617 def 4955 ref 0 ref 10449 ref 10545 remove cons opType constTerm 10618 def 10567 ref appTerm 10619 def 194 ref appTerm 10620 def appTerm 10621 def nil cons 10622 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14473" 1 ref var 10623 def 209 ref cons nil cons 10624 def nil cons cons nil 836 ref 820 ref 195 ref 10623 ref varTerm 10625 def appTerm 194 ref appTerm 10626 def appTerm 10627 def nil cons 10628 def cons 838 ref 10617 ref 10619 ref 10625 ref appTerm 10629 def appTerm 10630 def nil cons 10631 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 10626 remove nil cons cons nil cons nil cons cons 2086 ref subst 10632 def appThm 10630 ref refl appThm trans nil 84 ref 10631 remove cons 83 ref 10628 ref cons nil cons 10633 def cons nil cons cons 2097 ref subst 9672 ref 10 ref 10 ref 10 ref 901 ref 10627 remove appTerm 10634 def 10630 ref appTerm 10635 def appTerm 901 ref 820 ref 9233 ref 9234 ref 10625 ref appTerm appTerm 194 ref appTerm appTerm appTerm 10636 def 10630 remove appTerm 10637 def appTerm 10638 def appTerm 10639 def 10 ref 10 ref 10634 ref 901 ref 820 ref 9233 ref 9234 ref "_14474" 1 ref var 10640 def varTerm 10641 def appTerm appTerm 10625 ref appTerm 10642 def appTerm 10643 def appTerm 531 ref 7200 ref 10629 remove appTerm 10644 def 10641 ref appTerm appTerm 8751 ref 10641 ref appTerm appTerm 10645 def appTerm 10646 def appTerm 10647 def appTerm 10636 ref 10646 remove appTerm 10648 def appTerm 10649 def appTerm 10 ref 10634 ref 531 ref 10644 ref 10625 ref appTerm appTerm 8751 ref 10625 ref appTerm 10650 def appTerm 10651 def appTerm 10652 def appTerm 10636 ref 10651 ref appTerm 10653 def appTerm 10654 def appTerm 10655 def appTerm 10656 def appTerm 10 ref 10 ref 10634 ref 901 ref 901 ref 820 ref 10617 ref 9673 ref appTerm 10657 def appTerm 10658 def appTerm 10659 def 9233 ref 9234 ref 4955 ref 0 ref 10354 ref 10373 remove cons opType constTerm 10660 def 4955 ref 0 ref 10464 ref 10550 remove cons opType constTerm 10661 def 10579 ref appTerm 10662 def 10625 ref appTerm appTerm 10663 def 9673 ref appTerm 10664 def appTerm appTerm 10625 ref appTerm appTerm appTerm 820 ref 4964 ref 4966 ref 7200 ref 9673 ref appTerm 10665 def 10625 ref appTerm appTerm appTerm 10650 ref appTerm appTerm 10666 def appTerm 10667 def appTerm appTerm 10636 ref 10667 remove appTerm appTerm appTerm 10 ref 10634 ref 901 ref 10659 ref 820 ref 531 ref 10665 ref 10664 ref appTerm appTerm 8751 ref 10664 remove appTerm appTerm appTerm appTerm appTerm 10666 remove appTerm 10668 def appTerm appTerm 10636 ref 10668 remove appTerm appTerm appTerm 10669 def appTerm absTerm 10670 def "_14475" 821 ref var varTerm 10671 def appTerm 10672 def betaConv 613 ref 1319 ref 9672 ref 10 ref 10639 remove 10 ref 10 ref 10634 ref 901 ref 820 ref 9233 ref 9234 ref 614 ref appTerm 10673 def appTerm 10674 def 10625 ref appTerm appTerm appTerm 531 ref 10644 remove 614 ref appTerm appTerm 8751 ref 614 ref appTerm 10675 def appTerm appTerm 10676 def appTerm appTerm 10636 ref 10676 remove appTerm appTerm appTerm 10654 ref appTerm appTerm appTerm 10669 remove appTerm absTerm appTerm absTerm 10677 def 10641 ref appTerm 10678 def betaConv 558 ref 178 ref 613 ref 1319 ref 9672 ref 10 ref 10 ref 10 ref 901 ref 10405 ref appTerm 10679 def 10617 ref 10619 ref 561 ref appTerm 10680 def appTerm 10681 def appTerm appTerm 901 ref 820 ref 9233 ref 9234 ref 561 ref appTerm 10682 def appTerm 194 ref appTerm appTerm 10683 def appTerm 10684 def 10681 ref appTerm appTerm appTerm 10 ref 10 ref 10679 ref 901 ref 820 ref 10674 ref 561 ref appTerm appTerm appTerm 531 ref 7200 ref 10680 ref appTerm 10685 def 614 ref appTerm appTerm 10675 remove appTerm appTerm 10686 def appTerm appTerm 10684 ref 10686 ref appTerm appTerm appTerm 10 ref 10679 ref 531 ref 10685 remove 561 ref appTerm appTerm 8751 ref 561 ref appTerm 10687 def appTerm 10688 def appTerm appTerm 10684 ref 10688 ref appTerm appTerm appTerm appTerm appTerm 10 ref 10 ref 10679 ref 901 ref 10659 ref 9233 ref 9234 ref 10660 ref 10662 remove 561 ref appTerm 10689 def appTerm 9673 ref appTerm 10690 def appTerm 10691 def appTerm 561 ref appTerm 10692 def appTerm 10693 def appTerm 820 ref 4964 ref 4966 ref 10665 ref 561 ref appTerm 10694 def appTerm 10695 def appTerm 10687 ref appTerm appTerm 10696 def appTerm 10697 def appTerm appTerm 10684 ref 10697 ref appTerm appTerm appTerm 10 ref 10679 remove 901 ref 10659 ref 820 ref 531 ref 10665 ref 10690 ref appTerm appTerm 8751 ref 10690 ref appTerm appTerm appTerm 10698 def appTerm 10699 def appTerm 10696 ref appTerm 10700 def appTerm appTerm 10684 remove 10700 ref appTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm 10701 def 10625 ref appTerm 10702 def betaConv 179 ref 558 ref 901 ref 10406 remove 10683 ref appTerm 10703 def appTerm 10704 def refl 10705 def 23 ref 10 ref 10681 ref appTerm 10706 def refl 10707 def 123 ref 23 ref 179 ref 613 ref 613 ref 10686 ref absTerm 10708 def 614 ref appTerm betaConv 10709 def absThm appThm appThm 10688 ref refl 10710 def appThm appThm 179 ref 613 ref 23 ref 10709 remove appThm 10710 remove appThm absThm appThm appThm nil 287 ref 10708 ref nil cons cons 84 ref 10688 ref nil cons 10711 def cons nil cons cons nil cons cons 221 ref 8368 remove subst 10712 def subst eqMp appThm 123 ref 10707 ref 179 ref 613 ref 613 ref 10 ref 10686 ref appTerm 10688 ref appTerm 10713 def absTerm 10714 def 614 ref appTerm betaConv 10715 def absThm appThm appThm appThm 179 ref 613 ref 10707 remove 10715 remove appThm absThm appThm appThm nil 1996 ref 10714 remove nil cons cons 83 ref 10681 remove nil cons 10716 def cons nil cons cons nil cons cons 221 remove 5321 ref subst 10717 def subst eqMp trans appThm 1319 ref 9672 ref 901 ref 10659 ref 10 ref 10692 ref appTerm 10698 ref appTerm appTerm appTerm 10696 ref appTerm 10718 def absTerm 10719 def appTerm 10720 def refl 10721 def appThm 123 ref 23 ref 179 ref 613 ref 613 ref 10706 ref 10713 ref appTerm 10722 def absTerm 10723 def 614 ref appTerm betaConv 10724 def absThm appThm appThm 10721 ref appThm appThm 179 ref 613 ref 23 ref 10724 remove appThm 10721 remove appThm absThm appThm appThm nil 287 ref 10723 remove nil cons cons 84 ref 10720 ref nil cons cons nil cons cons nil cons cons 10712 ref subst eqMp 179 ref 613 ref 123 ref 10 ref 10722 ref appTerm 10725 def refl 10726 def 3492 ref 9672 ref 10719 ref 9673 ref appTerm betaConv 10727 def absThm appThm appThm appThm 3492 ref 9672 ref 10726 ref 10727 remove appThm absThm appThm appThm nil 6591 ref 10719 remove nil cons cons 83 ref 10722 remove nil cons 10728 def cons nil cons cons nil cons cons 1212 ref 5321 remove subst subst eqMp absThm appThm trans trans appThm 123 ref 10705 ref 179 ref 613 ref 613 ref 1319 ref 9672 ref 10725 remove 10718 remove appTerm absTerm 10729 def appTerm absTerm 10730 def 614 ref appTerm betaConv 10731 def absThm appThm appThm appThm 179 ref 613 ref 10705 ref 10731 remove appThm absThm appThm appThm nil 1996 ref 10730 remove nil cons cons 83 ref 10703 remove nil cons 10732 def cons nil cons 10733 def cons nil cons cons 9307 remove subst eqMp 179 ref 613 ref 123 ref 10705 ref 3492 ref 9672 ref 10729 ref 9673 ref appTerm betaConv 10734 def absThm appThm appThm appThm 3492 ref 9672 ref 10705 ref 10734 remove appThm absThm appThm appThm nil 6591 ref 10729 remove nil cons cons 10733 remove cons nil cons cons 1212 remove 5308 remove subst 10735 def subst eqMp absThm appThm trans trans absThm appThm 179 ref 558 ref 179 ref 613 ref 3492 ref 9672 ref 10705 remove 10726 remove 1874 ref nil 838 ref 10658 remove nil cons cons 10736 def 836 ref 10692 remove nil cons cons 1605 ref 10698 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst appThm 10696 ref refl appThm nil 838 ref 10693 remove nil cons cons 836 ref 10699 remove nil cons cons 1605 ref 10696 remove nil cons cons nil cons cons cons nil cons cons 5138 ref subst trans appThm appThm nil 838 ref 10732 remove cons 10737 def 836 ref 10728 remove cons 1605 ref 10 ref 10697 ref appTerm 10700 ref appTerm nil cons cons nil cons cons cons nil cons cons 2480 ref subst 23 ref nil 10737 ref 836 ref 10716 ref cons 1605 ref 10713 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst 23 ref nil 838 ref 10405 ref nil cons cons 10738 def 836 ref 10683 remove nil cons cons 10739 def 1605 ref 10716 remove cons nil cons cons cons nil cons cons 5138 ref subst appThm nil 10737 ref 836 ref 10686 remove nil cons 10740 def cons 1605 ref 10711 remove cons nil cons 10741 def cons cons nil cons cons 2480 ref subst 23 ref nil 10738 ref 10739 ref 1605 ref 10740 remove cons nil cons cons cons nil cons cons 5138 ref subst appThm nil 10738 ref 10739 ref 10741 remove cons cons nil cons cons 5138 ref subst appThm trans appThm trans appThm nil 10737 remove 836 ref 10697 remove nil cons 10742 def cons 1605 ref 10700 remove nil cons cons nil cons 10743 def cons cons nil cons cons 2480 ref subst 23 ref nil 10738 ref 10739 ref 1605 ref 10742 remove cons nil cons cons cons nil cons cons 5138 ref subst appThm nil 10738 remove 10739 remove 10743 remove cons cons nil cons cons 5138 ref subst appThm trans appThm trans trans absThm appThm absThm appThm absThm appThm trans 23 ref 179 ref 558 ref 1874 ref 23 ref 10405 remove refl appThm 932 ref nil 9278 ref 684 ref cons nil cons cons 9279 ref subst 1146 ref appThm nil 9280 ref 10682 remove nil cons cons 210 ref cons nil cons cons 9281 ref subst trans appThm appThm appThm 23 ref 23 ref 9649 ref refl 10744 def nil 10454 ref 10567 ref nil cons 10745 def cons 684 ref cons nil cons cons 40 ref 1437 remove nil cons cons 43 ref cons 5149 ref subst 10746 def subst 10747 def appThm nil "f" 822 ref var 9833 ref cons 10748 def 1315 ref 10680 remove nil cons 10749 def cons nil cons cons nil cons cons 1174 ref 786 remove cons 43 ref cons 5149 ref subst 10750 def subst trans appThm 23 ref 179 ref 613 ref 1874 ref 932 ref nil 9278 ref 180 ref 9742 remove cons nil cons 10751 def cons nil cons cons 9279 ref subst 10752 def 3787 ref appThm nil 9280 ref 10673 remove nil cons cons 10753 def 684 ref cons nil cons cons 9281 ref subst trans appThm appThm 1516 ref 10747 ref 9169 ref appThm nil 825 ref 10749 remove cons 10754 def 10751 ref cons nil cons cons 7283 ref subst trans appThm nil 8764 ref 10751 ref cons nil cons cons 7283 ref subst appThm appThm absThm appThm appThm 1516 ref 10747 remove 3787 ref appThm nil 10754 remove 684 ref cons nil cons cons 7283 ref subst trans appThm nil 8764 ref 684 ref cons nil cons cons 7283 ref subst 10755 def appThm appThm appThm appThm 3492 ref 9672 ref 1874 ref 1874 ref 932 ref nil 10748 ref 1315 ref 9673 ref nil cons 10756 def cons nil cons 10757 def cons nil cons cons 10750 ref subst 10758 def appThm appThm 10759 def 23 ref 3446 ref nil 10469 ref 10579 remove nil cons cons 684 ref cons nil cons cons 40 remove 10474 remove nil cons 10760 def cons 43 ref cons 5149 ref subst 10761 def subst 9832 ref appThm nil 10359 ref 10689 remove nil cons cons 10757 ref cons nil cons cons 1174 ref 42 remove cons 43 ref cons 5149 ref subst 10762 def subst trans 10763 def appThm 3787 ref appThm nil 9278 ref 180 ref 10690 remove nil cons cons nil cons 10764 def cons nil cons cons 9279 ref subst 3787 ref appThm nil 9280 ref 10691 remove nil cons cons 684 ref cons nil cons cons 9281 ref subst trans trans appThm 932 ref 1516 ref 9832 ref 10763 ref appThm nil 825 ref 10756 ref cons 10765 def 10764 ref cons nil cons cons 7283 ref subst trans appThm 8761 ref 10763 remove appThm nil 8764 ref 10764 remove cons nil cons cons 7283 ref subst trans appThm appThm appThm appThm appThm 932 ref 1222 ref nil 10765 ref 684 remove cons nil cons cons 7283 ref subst appThm 10755 remove appThm nil 5154 ref 64 ref 10694 remove nil cons cons nil cons cons nil cons cons 5156 ref subst 10687 ref refl appThm nil 784 ref 10695 remove nil cons cons 64 ref 10687 remove nil cons cons nil cons cons nil cons cons 5157 ref subst trans trans appThm appThm absThm appThm appThm appThm absThm appThm appThm 8116 ref 23 ref 3492 ref 1315 ref 1874 ref nil 10748 ref nil cons nil cons cons 10750 ref subst 10766 def appThm 10767 def 3492 ref 9652 ref 1874 ref 23 ref 3446 ref nil 10505 ref 10600 ref nil cons cons nil cons nil cons cons 1174 remove 10760 remove cons 43 remove cons 5149 remove subst 10768 def subst 10448 ref appThm nil 10359 ref 4955 remove 0 ref 10500 ref 10517 remove cons opType constTerm 10769 def 10600 remove appTerm 1320 ref appTerm 10770 def nil cons cons 1315 ref 10127 ref cons nil cons 10771 def cons nil cons cons 10762 ref subst trans 10772 def appThm nil 10359 ref 10590 ref nil cons cons nil cons nil cons cons 10762 ref subst appThm nil 9278 ref 180 ref 10660 ref 10770 remove appTerm 9656 ref appTerm 10773 def nil cons cons nil cons 10774 def cons nil cons cons 9279 ref subst 10660 ref 10590 remove appTerm 1320 ref appTerm 10775 def refl appThm nil 9280 ref 9234 ref 10773 ref appTerm 10776 def nil cons cons 180 ref 10775 ref nil cons cons nil cons cons nil cons cons 9281 ref subst trans trans appThm 932 ref 1516 ref 10448 ref 10772 ref appThm nil 825 ref 10127 ref cons 10777 def 10774 ref cons nil cons cons 7283 ref subst trans appThm 8761 ref 10772 remove appThm nil 8764 ref 10774 remove cons nil cons cons 7283 ref subst trans appThm appThm appThm appThm 932 ref nil 10748 ref 10771 ref cons nil cons cons 10750 ref subst appThm 10778 def appThm absThm appThm appThm absThm appThm appThm nil 10748 ref 1315 ref 10560 ref nil cons cons nil cons cons nil cons cons 10750 ref subst appThm appThm appThm 10607 remove assume eqMp nil 119 ref 178 ref 558 ref 10704 remove 10 ref 10706 remove 10 ref 178 ref 10708 remove appTerm appTerm 10688 remove appTerm appTerm appTerm 10720 remove appTerm appTerm absTerm appTerm nil cons cons 121 ref 8234 remove 10 ref 1319 ref 1315 ref 901 ref 10617 ref 1320 ref appTerm 10779 def appTerm 10780 def 1319 ref 9652 ref 901 ref 10 ref 9233 ref 10776 remove appTerm 10775 remove appTerm appTerm 820 ref 531 ref 7200 ref 9656 ref appTerm 10781 def 10773 ref appTerm appTerm 8751 ref 10773 remove appTerm appTerm appTerm appTerm appTerm 820 ref 10617 ref 9656 ref appTerm 10782 def appTerm 10783 def appTerm absTerm appTerm appTerm absTerm appTerm appTerm 10617 ref 10560 remove appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp eqMp nil 83 ref 178 ref 10701 ref appTerm nil cons cons 84 ref 10702 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 10701 remove nil cons cons 180 ref 10625 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 10677 ref appTerm nil cons cons 84 ref 10678 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 10677 remove nil cons cons 180 ref 10641 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1319 ref 10670 ref appTerm nil cons cons 84 ref 10672 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 10670 remove nil cons cons 1315 ref 10671 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 119 ref 10656 remove nil cons cons 121 ref 10 ref 10 ref 10634 ref 901 ref 901 ref 820 ref 10617 ref 10671 ref appTerm appTerm appTerm 10784 def 9233 ref 9234 ref 10663 remove 10671 ref appTerm 10785 def appTerm appTerm 10625 ref appTerm appTerm appTerm 820 ref 4964 ref 4966 ref 7200 ref 10671 remove appTerm 10786 def 10625 remove appTerm appTerm appTerm 10650 remove appTerm appTerm 10787 def appTerm 10788 def appTerm appTerm 10636 ref 10788 remove appTerm appTerm appTerm 10 ref 10634 ref 901 ref 10784 remove 820 ref 531 ref 10786 remove 10785 ref appTerm appTerm 8751 ref 10785 remove appTerm appTerm appTerm appTerm appTerm 10787 remove appTerm 10789 def appTerm appTerm 10636 remove 10789 remove appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp 10790 def nil 119 ref 10638 remove nil cons cons 121 ref 10655 remove nil cons cons nil cons cons nil cons cons 10791 def 135 ref subst proveHyp nil 119 ref 10635 remove nil cons cons 121 ref 10637 remove nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp eqMp eqMp subst eqMp 10792 def nil 83 ref 10622 remove cons 10793 def 84 ref 531 ref 7200 ref 10620 ref appTerm 10660 ref 10360 ref appTerm 10794 def 10620 ref appTerm 10795 def appTerm 10796 def appTerm 8751 ref 10795 ref appTerm 10797 def appTerm 10798 def nil cons 10799 def cons nil cons 10800 def cons nil cons cons 157 ref subst proveHyp nil 83 ref 10799 ref cons nil cons nil cons cons 5009 ref subst nil 83 ref 820 ref 10798 ref appTerm 10801 def nil cons 10802 def cons 10800 ref cons nil cons cons 10803 def 100 ref subst 10803 remove 157 ref subst 1146 ref nil 6380 remove 84 ref 9233 ref 9234 ref 10795 ref appTerm appTerm 194 ref appTerm 10804 def nil cons 10805 def cons nil cons 10806 def cons nil cons cons 157 ref subst proveHyp nil 83 ref 10805 ref cons nil cons nil cons cons 5009 ref subst nil 83 ref 820 ref 10804 ref appTerm 10807 def nil cons 10808 def cons 10806 ref cons nil cons cons 10809 def 100 ref subst 10809 remove 157 ref subst 10792 ref nil 10793 ref 84 ref 820 ref 195 ref 10795 ref appTerm 10810 def 194 ref appTerm 10811 def appTerm 10812 def nil cons cons nil cons 10813 def cons nil cons cons 157 ref subst proveHyp 10567 ref refl nil 83 ref 26 ref 0 remove 10449 ref 10450 remove nil cons cons opType constTerm 10814 def 10567 ref appTerm 10567 remove appTerm 10815 def nil cons cons 84 ref 10811 ref nil cons cons nil cons 10816 def cons nil cons cons 157 ref subst proveHyp 10792 remove nil 10793 remove 84 ref 10808 ref cons nil cons cons nil cons cons 157 ref subst proveHyp 10807 ref assume eqMp nil 83 ref 10 ref 10621 remove appTerm 10817 def 10807 remove appTerm nil cons cons 10816 remove cons nil cons cons 144 ref subst proveHyp nil "_14472" 821 ref var 10818 def 10620 ref nil cons 10819 def cons nil cons nil cons cons 10820 def nil 836 ref 901 ref 820 ref 10617 ref 10818 remove varTerm 10821 def appTerm 10822 def appTerm 10823 def appTerm 10824 def 9233 ref 9234 ref 10794 ref 10821 ref appTerm 10825 def appTerm appTerm 194 ref appTerm 10826 def appTerm nil cons cons 838 ref 195 ref 10825 ref appTerm 194 ref appTerm 10827 def nil cons 10828 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 10826 ref nil cons 10829 def cons 838 ref 10823 ref nil cons 10830 def cons nil cons 10831 def cons nil cons cons 2144 ref subst 23 ref nil 838 ref 10822 ref nil cons cons nil cons 10832 def nil cons cons 2086 ref subst appThm 10833 def 820 ref 10826 ref appTerm refl appThm trans appThm 10827 ref refl appThm trans nil 917 ref 10829 ref cons 84 ref 10828 ref cons 10834 def 83 ref 10830 ref cons nil cons 10835 def cons 10836 def cons nil cons cons 2174 ref subst 10837 def 9652 ref 10 ref 901 ref 10783 ref appTerm 10838 def 901 ref 195 ref 10794 remove 9656 ref appTerm 10839 def appTerm 194 ref appTerm appTerm 9233 ref 9234 ref 10839 ref appTerm 10840 def appTerm 194 ref appTerm appTerm 10841 def appTerm appTerm 10838 remove 820 ref 531 ref 10781 ref 10839 ref appTerm appTerm 8751 ref 10839 ref appTerm appTerm appTerm 10842 def appTerm appTerm absTerm 10843 def 10821 ref appTerm 10844 def betaConv 3492 ref 9652 ref nil 838 ref 10783 ref nil cons 10845 def cons 836 ref 10841 remove nil cons cons 1605 ref 10842 remove nil cons cons nil cons cons cons nil cons cons 2480 ref subst absThm appThm 3492 ref 9652 ref 1874 ref 10778 ref appThm 10846 def 23 ref 1874 ref 7284 remove nil 10771 ref nil cons cons 10762 ref subst 10847 def appThm 1146 ref appThm appThm 3446 ref 10847 ref appThm 1146 ref appThm nil 9278 ref 180 ref 10839 remove nil cons cons nil cons 10848 def cons nil cons cons 9279 ref subst 1146 ref appThm nil 9280 ref 10840 remove nil cons cons 210 ref cons nil cons cons 9281 ref subst trans trans appThm appThm 932 ref 1516 ref 10448 ref 10847 ref appThm nil 10777 ref 10848 ref cons nil cons cons 7283 ref subst trans appThm 8761 ref 10847 remove appThm nil 8764 ref 10848 remove cons nil cons cons 7283 ref subst trans appThm appThm appThm appThm absThm appThm 10367 remove assume eqMp eqMp nil 83 ref 1319 ref 10843 ref appTerm nil cons cons 84 ref 10844 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 10843 remove nil cons cons 1315 ref 10821 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 10849 def nil 119 ref 10824 ref 901 ref 10827 ref appTerm 10850 def 10826 ref appTerm appTerm nil cons cons 121 ref 10824 ref 820 ref 531 ref 7200 ref 10821 remove appTerm 10825 ref appTerm appTerm 8751 ref 10825 remove appTerm appTerm 10851 def appTerm appTerm nil cons cons nil cons cons nil cons cons 10852 def 135 ref subst proveHyp 10853 def eqMp eqMp subst eqMp eqMp nil 83 ref 10 ref 10815 remove appTerm 10811 remove appTerm nil cons cons 84 ref 26 remove 9918 remove constTerm 10854 def 10619 remove 10795 ref appTerm 10855 def appTerm 10620 remove appTerm 10856 def nil cons 10857 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14497" 1 ref var 10858 def 209 ref cons "_14495" 1 ref var 10859 def 10795 ref nil cons 10860 def cons "_14496" 10449 ref var 10861 def 10745 ref cons "_14494" 10449 ref var 10862 def 10745 remove cons nil cons cons cons cons nil cons cons nil 836 ref 901 ref 820 ref 10814 remove 10862 remove varTerm 10863 def appTerm 10861 remove varTerm 10864 def appTerm 10865 def appTerm 10866 def appTerm 10867 def 820 ref 195 ref 10859 remove varTerm 10868 def appTerm 10858 remove varTerm 10869 def appTerm 10870 def appTerm 10871 def appTerm nil cons cons 838 ref 10854 ref 10618 ref 10863 remove appTerm 10868 remove appTerm appTerm 10618 ref 10864 remove appTerm 10869 remove appTerm appTerm 10872 def nil cons 10873 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 10871 ref nil cons 10874 def cons 838 ref 10866 remove nil cons 10875 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 10865 ref nil cons 10876 def cons nil cons 10877 def nil cons cons 2086 ref subst appThm nil 838 ref 10870 ref nil cons 10878 def cons nil cons 10879 def nil cons cons 2086 ref subst appThm trans appThm 10872 ref refl appThm trans 10867 remove refl nil 84 ref 10873 ref cons 10880 def 83 ref 10874 ref cons nil cons cons nil cons cons 2097 ref subst appThm nil 917 ref 10874 remove cons 10880 ref 83 ref 10875 remove cons nil cons cons cons nil cons cons 2174 ref subst trans nil 836 ref 901 ref 10871 remove appTerm 10872 remove appTerm nil cons 10881 def cons 10877 remove cons nil cons cons 2191 ref subst nil 83 ref 10876 ref cons 84 ref 10881 ref cons nil cons cons nil cons cons 10882 def 100 ref subst 10882 remove 157 ref subst nil 836 ref 10873 ref cons 10879 remove cons nil cons cons 2191 ref subst nil 83 ref 10878 ref cons 10880 remove nil cons cons nil cons cons 10883 def 100 ref subst 10883 remove 157 ref subst 10618 ref refl 10865 remove assume appThm 10870 remove assume appThm eqMp nil 119 ref 10878 remove cons 121 ref 10873 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 10876 remove cons 121 ref 10881 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 10857 remove cons 84 ref 10810 remove 10795 ref appTerm 10884 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp nil 180 ref 10860 ref cons nil cons nil cons cons 6365 remove subst eqMp nil 83 ref 10 ref 10856 remove appTerm 10884 remove appTerm nil cons cons 84 ref 531 ref 7200 ref 10855 ref appTerm 10795 remove appTerm 10885 def appTerm 10886 def 10796 ref appTerm 10887 def nil cons 10888 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14509" 1 ref var 10889 def 10860 ref cons "_14507" 1 ref var 10890 def 10860 ref cons "_14508" 821 ref var 10891 def 10819 remove cons "_14506" 821 ref var 10892 def 10855 remove nil cons cons nil cons cons cons cons nil cons cons nil 836 ref 901 ref 820 ref 10854 remove 10892 remove varTerm 10893 def appTerm 10891 remove varTerm 10894 def appTerm 10895 def appTerm 10896 def appTerm 10897 def 820 ref 195 remove 10890 remove varTerm 10898 def appTerm 10889 remove varTerm 10899 def appTerm 10900 def appTerm 10901 def appTerm nil cons cons 838 ref 531 ref 7200 ref 10893 remove appTerm 10898 remove appTerm appTerm 7200 ref 10894 remove appTerm 10899 remove appTerm appTerm 10902 def nil cons 10903 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 10901 ref nil cons 10904 def cons 838 ref 10896 remove nil cons 10905 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 10895 ref nil cons 10906 def cons nil cons 10907 def nil cons cons 2086 ref subst appThm nil 838 ref 10900 ref nil cons 10908 def cons nil cons 10909 def nil cons cons 2086 ref subst appThm trans appThm 10902 ref refl appThm trans 10897 remove refl nil 84 ref 10903 ref cons 10910 def 83 ref 10904 ref cons nil cons cons nil cons cons 2097 ref subst appThm nil 917 ref 10904 remove cons 10910 ref 83 ref 10905 remove cons nil cons cons cons nil cons cons 2174 ref subst trans nil 836 ref 901 ref 10901 remove appTerm 10902 remove appTerm nil cons 10911 def cons 10907 remove cons nil cons cons 2191 ref subst nil 83 ref 10906 ref cons 84 ref 10911 ref cons nil cons cons nil cons cons 10912 def 100 ref subst 10912 remove 157 ref subst nil 836 ref 10903 ref cons 10909 remove cons nil cons cons 2191 remove subst nil 83 ref 10908 ref cons 10910 remove nil cons cons nil cons cons 10913 def 100 ref subst 10913 remove 157 ref subst 7200 ref refl 10895 remove assume appThm 10900 remove assume appThm eqMp nil 119 ref 10908 remove cons 121 ref 10903 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 10906 remove cons 121 ref 10911 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 10888 remove cons 84 ref 10802 ref cons nil cons cons nil cons cons 157 ref subst proveHyp 10801 ref assume eqMp nil 83 ref 10 ref 10887 remove appTerm 10801 remove appTerm nil cons cons 84 ref 820 ref 10886 remove 10797 ref appTerm appTerm nil cons 10914 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil 452 remove 10797 remove nil cons cons 255 ref 10796 remove nil cons cons 64 ref 10885 remove nil cons cons nil cons cons cons nil cons cons nil 836 ref 2377 remove 2381 ref appTerm nil cons cons 838 ref 2383 remove cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 2382 ref cons 2385 remove cons nil cons cons 2144 ref subst 2387 remove 2402 remove refl appThm trans appThm 2379 remove refl appThm trans 123 ref 2392 ref appThm nil 917 ref 2382 remove cons 84 ref 2384 remove cons 2390 remove cons cons nil cons cons 2174 ref subst 2392 remove trans appThm nil 315 ref 901 ref 2381 remove appTerm 2380 remove appTerm nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 2427 remove eqMp eqMp subst eqMp nil 83 ref 10914 remove cons 10813 remove cons nil cons cons 144 ref subst proveHyp nil 10623 remove 10860 ref cons nil cons nil cons cons nil 836 ref 10651 remove nil cons cons 838 ref 10628 remove cons nil cons 10915 def cons nil cons cons 2085 ref subst 10790 remove 10791 remove 581 ref subst proveHyp 10916 def nil 119 ref 10649 remove nil cons cons 121 ref 10654 remove nil cons cons nil cons cons nil cons cons 10917 def 581 ref subst proveHyp nil 119 ref 10652 remove nil cons cons 121 ref 10653 remove nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp eqMp subst eqMp eqMp nil 83 ref 10817 ref 10812 remove appTerm nil cons cons 10806 remove cons nil cons cons 144 ref subst proveHyp 10820 ref nil 836 ref 10824 remove 10827 ref appTerm nil cons cons 838 ref 10829 ref cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 10828 remove cons 10831 remove cons nil cons cons 2144 ref subst 10833 remove 820 ref 10827 remove appTerm refl appThm trans appThm 10826 ref refl appThm trans 123 ref 10837 remove 10850 ref refl nil 84 ref 10829 ref cons 10835 remove cons nil cons cons 2097 ref subst appThm trans appThm 901 ref 10826 remove appTerm 10918 def refl nil 10836 remove nil cons cons 2097 ref subst appThm nil 917 ref 10830 remove cons 10834 remove 83 ref 10829 remove cons nil cons cons cons nil cons cons 2174 ref subst trans appThm nil 315 ref 10850 remove 10918 remove 10823 remove appTerm appTerm nil cons cons nil cons nil cons cons 805 ref subst trans sym 32 ref eqMp 10853 remove eqMp eqMp subst eqMp eqMp nil 119 ref 10808 remove cons 121 ref 10805 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 83 ref 10 ref 6379 remove appTerm 10804 remove appTerm nil cons cons 10800 remove cons nil cons cons 144 ref subst proveHyp nil 10640 remove 10860 remove cons 10624 remove cons nil cons cons nil 836 ref 10634 ref 10643 ref appTerm nil cons cons 838 ref 10645 ref nil cons 10919 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 10643 remove nil cons 10920 def cons 10915 remove cons nil cons cons 2144 ref subst 23 ref 10632 remove appThm nil 838 ref 10642 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm trans appThm 10645 remove refl appThm trans 10634 remove refl nil 84 ref 10919 remove cons 10921 def 83 ref 10920 ref cons nil cons cons nil cons cons 2097 ref subst appThm nil 917 ref 10920 remove cons 10921 remove 10633 remove cons cons nil cons cons 2174 ref subst trans 10916 remove 10917 remove 135 ref subst proveHyp nil 119 ref 10647 remove nil cons cons 121 ref 10648 remove nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp eqMp eqMp subst eqMp eqMp nil 119 ref 10802 remove cons 121 ref 10799 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 83 ref 10817 remove 10798 remove appTerm nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp 10820 remove nil 836 ref 10851 ref nil cons cons 10832 remove cons nil cons cons 5434 ref subst nil 83 ref 10 ref 10822 remove appTerm 10851 remove appTerm nil cons cons nil cons nil cons cons 2222 ref subst trans 10849 remove 10852 remove 581 ref subst proveHyp eqMp subst eqMp eqMp nil 119 ref 10615 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 10613 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1319 ref 10612 remove appTerm nil cons cons 84 ref 68 ref 10609 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 10608 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 10604 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 10502 remove constTerm 10922 def "x" 10500 ref var 10923 def 68 ref 10596 ref 10923 ref varTerm 10924 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 10597 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10518 ref 10598 ref 10596 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 10593 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 10356 remove constTerm 10925 def "x" 10354 ref var 10926 def 68 ref 10587 ref 10926 ref varTerm 10927 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 10588 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10374 ref 10370 ref 10587 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 10583 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 ref 10466 remove constTerm 10928 def "x" 10464 ref var 10929 def 68 ref 10575 ref 10929 ref varTerm 10930 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 10576 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10551 ref 10577 ref 10575 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 10571 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 60 remove 10451 remove constTerm 10931 def "x" 10449 remove var 10932 def 68 ref 10563 ref 10932 ref varTerm 10933 def appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 10564 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10546 ref 10565 ref 10563 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 10379 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 10377 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 10925 ref 10926 ref 68 ref 10368 ref 10927 ref appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 10369 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10374 ref 10370 ref 10368 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 10338 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 10315 remove 121 ref 10318 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 10284 remove cons 121 ref 10285 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 83 ref 10 ref 10243 remove appTerm 10283 remove appTerm nil cons cons 84 ref 178 ref 10208 ref appTerm nil cons 10934 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 10208 ref 621 remove appTerm betaConv appThm 179 ref 183 ref 182 ref 10210 ref appThm 10208 ref 235 remove appTerm betaConv appThm absThm appThm appThm appThm 179 ref 183 ref 10210 remove absThm appThm appThm nil 287 ref 10208 remove nil cons 10935 def cons nil cons nil cons cons 697 remove subst eqMp eqMp nil 83 ref 10934 remove cons 84 ref 10209 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 10935 remove cons 210 ref cons nil cons cons 173 ref subst eqMp eqMp eqMp nil 83 ref 10206 remove cons 10187 remove cons nil cons cons 144 ref subst proveHyp 182 ref 1138 ref 9652 ref 9828 ref 9656 ref appTerm betaConv 10936 def absThm appThm appThm 1138 ref 9652 ref 23 ref 10936 remove appThm 3492 ref 9976 ref 68 ref 251 ref 10197 ref appTerm 9682 ref appTerm appTerm refl 932 ref 9828 remove 9977 ref appTerm betaConv appThm appThm absThm appThm appThm absThm appThm appThm nil 6590 ref 9838 remove cons nil cons nil cons cons 10199 ref 10192 ref appTerm 10937 def betaConv nil 10201 remove 84 ref 10937 remove nil cons cons nil cons cons nil cons cons 144 ref subst 9697 ref 9696 ref 10199 remove nil cons cons "x" 822 remove var 10938 def 10192 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp subst eqMp eqMp eqMp nil 119 ref 10200 remove cons 121 ref 10186 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp nil 119 ref 9819 remove cons 121 ref 9821 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 10 ref 1319 ref 1315 ref 1319 ref 3493 ref 178 ref 183 ref 63 remove 255 ref 9791 remove absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 9818 remove appTerm nil cons cons 84 ref 824 ref 1315 ref 178 ref 183 ref 10 ref 824 ref 9652 ref 9671 ref 9709 ref 9710 ref 8649 ref appTerm appTerm appTerm absTerm appTerm appTerm 1319 ref 9672 ref 9715 ref 820 ref 9681 ref 8649 ref appTerm appTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm 10939 def appTerm 10940 def nil cons 10941 def cons nil cons cons nil cons cons 144 ref subst proveHyp 182 ref 23 ref 3492 ref 1315 ref 3492 ref 3493 remove 179 ref 183 ref 1078 remove 255 ref 9790 remove refl 123 ref 1315 ref 183 ref "_14361" 45 remove var 10942 def 10 ref 824 ref 9652 ref 9671 ref 9709 remove 9710 remove 10942 ref varTerm 10943 def appTerm 10944 def appTerm appTerm absTerm appTerm appTerm 1319 ref 9672 ref 9715 remove 820 ref 9681 remove 10943 ref appTerm appTerm 10945 def appTerm absTerm appTerm appTerm absTerm 10946 def absTerm 10947 def absTerm 10948 def 1320 ref appTerm betaConv 10949 def 1146 ref appThm 10947 ref 194 ref appTerm betaConv trans 10950 def 1105 ref appThm 10946 ref 256 ref appTerm betaConv trans 10951 def appThm 10948 ref 3498 remove appTerm betaConv 1146 ref appThm 183 ref 10942 ref 10 ref 824 ref 9652 ref 9671 ref 9723 remove 10944 remove appTerm appTerm absTerm appTerm appTerm 1319 ref 9672 ref 9727 remove 10945 remove appTerm absTerm appTerm appTerm absTerm 10952 def absTerm 194 ref appTerm betaConv trans 1105 remove appThm 10952 remove 256 remove appTerm betaConv trans appThm appThm absThm appThm absThm appThm absThm appThm absThm appThm appThm 3492 ref 1315 ref 179 ref 183 ref 182 ref 179 ref 558 remove 3786 remove 10949 remove 3787 ref appThm 10947 remove 561 remove appTerm betaConv trans 8761 ref 3787 remove appThm appThm 10942 remove 10 ref 824 ref 9652 ref 9671 remove 9802 remove 9803 remove 10943 ref appTerm appTerm appTerm absTerm appTerm appTerm 1319 ref 9672 ref 9808 remove 820 ref 9809 remove 10943 remove appTerm appTerm appTerm absTerm appTerm appTerm absTerm 9704 remove appTerm betaConv trans appThm absThm appThm appThm 1022 remove 255 remove 10951 remove absThm appThm appThm absThm appThm absThm appThm appThm appThm 1138 ref 1315 ref 179 ref 183 ref 10950 remove 8909 remove appThm 10946 remove 8649 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil 3789 remove 10948 remove nil cons cons nil cons nil cons cons 6234 remove subst eqMp eqMp nil 83 ref 10941 remove cons 9702 remove cons nil cons cons 144 ref subst nil 83 ref 1319 ref 9652 ref 68 ref 178 ref 183 ref 10 ref 824 ref 9976 ref 10 ref 9649 ref 9977 ref appTerm 10953 def appTerm 10954 def 10 ref 178 ref 613 ref 9655 remove 531 ref 9977 ref 614 ref appTerm appTerm 9657 ref appTerm 10955 def appTerm absTerm appTerm appTerm 531 ref 10197 remove appTerm 9682 ref appTerm 10956 def appTerm appTerm absTerm appTerm 10957 def appTerm 1319 ref 9672 ref 9685 remove absTerm appTerm 10958 def appTerm absTerm appTerm appTerm 9689 ref appTerm absTerm appTerm 10959 def nil cons cons 10960 def nil cons nil cons cons 1777 ref subst sym 10961 def nil 9700 ref 84 ref 68 ref 820 ref 10959 remove appTerm appTerm 841 ref appTerm 10962 def nil cons cons nil cons cons nil cons cons 144 ref subst 9648 ref 9670 ref 10962 remove appTerm absTerm 10963 def 9649 ref appTerm 10964 def betaConv 248 ref 9647 ref 10963 ref appTerm 10965 def absTerm 10966 def 251 remove appTerm 10967 def betaConv 3982 remove 248 ref 10191 remove 9648 ref 9670 ref refl 10961 remove 3492 ref 9652 ref 182 ref 123 ref 179 ref 183 ref 23 ref 183 ref 10957 remove absTerm 10968 def 194 ref appTerm betaConv 10969 def appThm 183 ref 10958 remove absTerm 10970 def 194 ref appTerm betaConv 10971 def appThm absThm appThm appThm 23 ref 179 ref 183 ref 10969 remove absThm appThm appThm 179 ref 183 ref 10971 remove absThm appThm appThm appThm nil 287 ref 10968 ref nil cons cons 1996 ref 10970 ref nil cons cons nil cons cons nil cons cons 3057 remove subst eqMp appThm 9689 ref refl appThm absThm appThm trans appThm absThm appThm absThm appThm sym nil 280 ref 248 ref 9647 remove 9648 ref 9670 remove 1319 ref 9652 ref 68 ref 10 ref 178 ref 10968 remove appTerm appTerm 178 ref 10970 remove appTerm appTerm 10972 def appTerm 9689 ref appTerm 10973 def absTerm 10974 def appTerm 10975 def appTerm 10976 def absTerm 10977 def appTerm 10978 def absTerm nil cons cons nil cons nil cons cons 390 ref subst 248 ref nil 24 ref 10978 remove nil cons cons nil cons nil cons cons 33 ref subst nil 9696 ref 10977 remove nil cons cons nil cons nil cons cons 9698 remove subst 9648 remove nil 24 ref 10976 remove nil cons cons nil cons nil cons cons 33 ref subst nil 9700 remove 84 ref 10975 remove nil cons 10979 def cons nil cons cons nil cons cons 10980 def 100 ref subst 10980 remove 157 ref subst nil 1176 ref 10974 remove nil cons cons nil cons nil cons cons 1213 ref subst 9652 ref nil 24 ref 10973 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 10972 ref nil cons 10981 def cons 84 ref 9689 ref nil cons 10982 def cons nil cons cons nil cons cons 10983 def 100 ref subst 10983 remove 157 ref subst nil 83 ref 10982 ref cons nil cons nil cons cons 1777 remove subst sym nil 83 ref 820 ref 9689 remove appTerm 10984 def nil cons 10985 def cons 1032 ref cons nil cons cons 10986 def 100 ref subst 10986 remove 157 ref subst nil 10340 remove 84 ref 9688 remove nil cons cons nil cons cons nil cons cons 1941 ref subst 10342 ref nil 1176 ref 9687 ref nil cons cons nil cons nil cons cons 9886 remove subst 1138 ref 9672 ref 932 ref 9687 remove 9673 ref appTerm betaConv appThm nil 206 ref 9686 ref nil cons cons nil cons nil cons cons 1963 ref subst 1345 ref 183 ref 932 ref 9686 remove 194 ref appTerm betaConv appThm nil 83 ref 9680 remove nil cons cons 84 ref 9684 ref nil cons cons nil cons 10987 def cons nil cons cons 10988 def 1988 ref subst 23 ref 9770 remove 179 ref 613 ref nil 9737 ref 84 ref 9677 ref nil cons cons nil cons cons nil cons cons 10989 def 1910 ref subst absThm appThm appThm appThm nil 83 ref 9683 ref nil cons cons nil cons nil cons cons 1775 remove subst appThm trans trans absThm appThm trans trans absThm appThm trans appThm trans 123 ref 10342 ref 1138 ref 9672 ref 9672 ref 583 ref 183 ref 10 ref 9675 remove 178 ref 613 ref 901 ref 820 ref 9654 remove appTerm appTerm 10990 def 9677 ref appTerm absTerm appTerm appTerm appTerm 9683 remove appTerm 10991 def absTerm 10992 def appTerm absTerm 10993 def 9673 ref appTerm betaConv 10994 def absThm appThm appThm appThm 1138 ref 9672 ref 10342 ref 10994 remove appThm absThm appThm appThm nil 6591 ref 10993 remove nil cons cons 10349 ref cons nil cons cons 9907 remove subst eqMp 1138 ref 9672 ref 123 ref 10342 ref 1345 ref 183 ref 10992 ref 194 ref appTerm betaConv 10995 def absThm appThm appThm appThm 1345 ref 183 ref 10342 remove 10995 remove appThm absThm appThm appThm nil 1996 ref 10992 remove nil cons cons 10349 remove cons nil cons cons 2007 ref subst eqMp absThm appThm trans trans 10984 remove assume eqMp nil 83 ref 824 ref 9672 ref 583 remove 183 ref 10350 remove 10991 remove appTerm 10996 def absTerm 10997 def appTerm 10998 def absTerm 10999 def appTerm 11000 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 1176 ref 9672 ref 68 ref 10999 ref 9673 ref appTerm 11001 def appTerm 841 ref appTerm 11002 def absTerm nil cons cons nil cons nil cons cons 1213 ref subst 9672 ref nil 24 ref 11002 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 11001 ref nil cons 11003 def cons 1032 ref cons nil cons cons 11004 def 100 ref subst 11004 remove 157 ref subst 11001 ref betaConv 11001 remove assume eqMp nil 83 ref 10998 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 206 ref 183 ref 68 ref 10997 ref 194 ref appTerm 11005 def appTerm 841 ref appTerm 11006 def absTerm nil cons cons nil cons nil cons cons 223 remove subst 183 ref nil 24 ref 11006 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 11005 ref nil cons 11007 def cons 1032 ref cons nil cons cons 11008 def 100 ref subst 11008 remove 157 ref subst 11005 ref betaConv 11005 remove assume eqMp nil 83 ref 10996 ref nil cons 11009 def cons 1032 ref cons nil cons cons 11010 def 144 ref subst proveHyp 11010 ref 100 ref subst 11010 remove 157 ref subst 23 ref 179 ref 183 ref 1138 ref 9976 ref 23 ref 10953 remove refl appThm 23 ref 179 ref 613 ref nil 9737 remove 84 ref 10955 ref nil cons cons nil cons cons nil cons cons 1910 ref subst absThm appThm appThm 10956 ref refl appThm appThm absThm appThm absThm appThm appThm 179 ref 183 ref 3492 ref 9672 ref 10988 remove 1910 remove subst 1874 ref nil 10397 remove 84 ref 9679 remove nil cons cons nil cons cons nil cons cons 1941 remove subst 10399 ref nil 206 ref 9678 ref nil cons cons nil cons nil cons cons 1963 remove subst 1345 ref 613 ref 932 ref 9678 remove 614 ref appTerm betaConv appThm 10989 remove 1988 remove subst trans absThm appThm trans appThm trans appThm 9684 ref refl 11011 def appThm trans absThm appThm absThm appThm appThm 23 ref 123 ref 179 ref 183 ref 1138 ref 9976 ref 183 ref 9976 remove 10954 remove 10 ref 178 ref 613 ref 10990 ref 10955 remove appTerm absTerm appTerm appTerm 10956 remove appTerm appTerm absTerm 11012 def absTerm 11013 def 194 ref appTerm betaConv 11014 def 9977 ref refl appThm 11012 ref 9977 remove appTerm betaConv trans absThm appThm absThm appThm appThm 10453 ref 10454 ref 179 ref 183 ref 11014 remove 10455 ref 194 ref appTerm 11015 def refl appThm 11012 remove 11015 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 10457 remove 11013 remove nil cons cons nil cons nil cons cons 10458 remove subst eqMp appThm 179 ref 183 ref 3492 ref 9672 ref 1874 ref 123 ref 10399 ref 1345 ref 613 ref 613 ref 10478 remove 820 ref 9677 remove appTerm appTerm 11016 def absTerm 11017 def 614 ref appTerm betaConv 11018 def absThm appThm appThm appThm 1345 ref 613 ref 10399 remove 11018 remove appThm absThm appThm appThm nil 1996 ref 11017 remove nil cons cons 10416 remove cons nil cons cons 2007 remove subst eqMp appThm 11011 ref appThm 123 ref 1874 ref 1345 ref 613 ref 613 ref 10417 ref 11016 remove appTerm 11019 def absTerm 11020 def 614 ref appTerm betaConv 11021 def absThm appThm appThm 11011 ref appThm appThm 1345 ref 613 ref 1874 ref 11021 remove appThm 11011 remove appThm absThm appThm appThm nil 287 ref 11020 remove nil cons cons 10987 remove cons nil cons cons 2028 remove subst eqMp trans absThm appThm 123 ref 3492 ref 9672 ref 1345 remove 613 ref 9672 ref 613 ref 901 ref 11019 remove appTerm 9684 ref appTerm absTerm 11022 def absTerm 11023 def 9673 ref appTerm betaConv 11024 def 9169 ref appThm 11022 ref 614 ref appTerm betaConv trans absThm appThm absThm appThm appThm 10358 ref 10359 ref 3492 ref 9672 ref 11024 remove 10425 remove appThm 11022 remove 10424 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 10363 remove 11023 remove nil cons cons nil cons nil cons cons 10364 remove subst eqMp trans absThm appThm 123 ref 179 ref 183 ref 10358 remove 10359 ref 183 ref 10359 ref 1319 ref 9672 ref 901 ref 10417 ref 10 ref 10427 remove 194 ref appTerm appTerm 820 ref 10428 remove 9656 ref 10424 remove appTerm appTerm appTerm appTerm appTerm appTerm 9684 ref appTerm absTerm appTerm absTerm 11025 def absTerm 11026 def 194 ref appTerm betaConv 11027 def 10463 remove appThm 11025 ref 10360 remove appTerm betaConv trans absThm appThm absThm appThm appThm 10468 ref 10469 ref 179 ref 183 ref 11027 remove 10470 ref 194 ref appTerm 11028 def refl appThm 11025 remove 11028 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 10473 remove 11026 remove nil cons cons nil cons nil cons cons 10475 remove subst eqMp trans appThm 123 ref 23 ref 10453 ref 10454 ref 10454 ref 178 ref 183 ref 10 ref 9649 remove 11015 ref appTerm appTerm 10 ref 178 ref 613 ref 10990 remove 531 ref 11015 ref 614 ref appTerm appTerm 9657 remove appTerm appTerm absTerm appTerm appTerm 531 ref 11015 remove 194 ref appTerm appTerm 9682 remove appTerm appTerm appTerm absTerm appTerm 11029 def absTerm 11030 def 10455 ref appTerm betaConv 11031 def absThm appThm appThm 10467 ref 10469 ref 178 ref 183 ref 1319 ref 9672 ref 901 ref 10417 ref 10 ref 22 ref 11028 remove 9673 ref appTerm 11032 def appTerm 194 ref appTerm appTerm 820 ref 531 ref 9673 ref 11032 ref appTerm appTerm 9656 ref 11032 remove appTerm appTerm appTerm appTerm appTerm appTerm 9684 ref appTerm absTerm appTerm absTerm appTerm 11033 def absTerm 11034 def appTerm 11035 def refl 11036 def appThm appThm 10453 ref 10454 ref 23 ref 11031 remove appThm 11036 remove appThm absThm appThm appThm nil 10542 remove 11030 remove nil cons cons 84 ref 11035 remove nil cons cons nil cons cons nil cons cons 10548 remove subst eqMp 10453 remove 10454 ref 123 ref 10 ref 11029 ref appTerm 11037 def refl 11038 def 10468 ref 10469 ref 11034 ref 10470 remove appTerm betaConv 11039 def absThm appThm appThm appThm 10468 remove 10469 ref 11038 remove 11039 remove appThm absThm appThm appThm nil "q" 10465 remove var 11034 remove nil cons cons 83 ref 11029 remove nil cons cons nil cons cons nil cons cons 10552 remove 2353 remove subst subst eqMp absThm appThm trans trans trans 10972 remove assume eqMp nil 83 ref 10452 remove 10454 ref 10467 remove 10469 ref 11037 ref 11033 remove appTerm absTerm 11040 def appTerm 11041 def absTerm 11042 def appTerm 11043 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 10565 ref 10454 ref 68 ref 11042 ref 10455 ref appTerm 11044 def appTerm 841 ref appTerm 11045 def absTerm nil cons cons nil cons nil cons cons 10570 remove subst 10454 remove nil 24 ref 11045 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 11044 ref nil cons 11046 def cons 1032 ref cons nil cons cons 11047 def 100 ref subst 11047 remove 157 ref subst 11044 ref betaConv 11044 remove assume eqMp nil 83 ref 11041 ref nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 10577 ref "f'" 10464 remove var 11048 def 68 ref 11040 ref 11048 ref varTerm 11049 def appTerm 11050 def appTerm 841 ref appTerm 11051 def absTerm nil cons cons nil cons nil cons cons 10582 remove subst 11048 remove nil 24 ref 11051 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 11050 ref nil cons 11052 def cons 1032 ref cons nil cons cons 11053 def 100 ref subst 11053 remove 157 ref subst 11050 ref betaConv 11050 remove assume eqMp nil 83 ref 11037 remove 178 ref 183 ref 1319 ref 9672 ref 901 ref 10417 remove 10 ref 22 ref 11049 ref 194 ref appTerm 9673 ref appTerm 11054 def appTerm 194 ref appTerm appTerm 820 ref 531 ref 9673 ref 11054 ref appTerm appTerm 9656 ref 11054 remove appTerm appTerm appTerm appTerm appTerm appTerm 9684 remove appTerm absTerm appTerm absTerm appTerm appTerm 11055 def nil cons 11056 def cons 1032 ref cons nil cons cons 11057 def 144 ref subst proveHyp 11057 ref 100 ref subst 11057 remove 157 ref subst 10404 remove 10530 remove trans 10203 remove eqMp nil 83 ref 10543 remove cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 10370 ref "f''" 10354 remove var 11058 def 68 ref 10539 ref 11058 ref varTerm 11059 def appTerm 11060 def appTerm 841 ref appTerm 11061 def absTerm nil cons cons nil cons nil cons cons 10376 remove subst 11058 remove nil 24 ref 11061 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 11060 ref nil cons 11062 def cons 1032 ref cons nil cons cons 11063 def 100 ref subst 11063 remove 157 ref subst 11060 ref betaConv 11060 remove assume eqMp nil 83 ref 10503 remove 10505 ref 824 ref 1315 ref 8043 ref 10 ref 1319 ref 1315 ref 10476 ref 1319 ref 9652 ref 901 ref 10 ref 10509 remove 11059 ref 1320 ref appTerm 11064 def appTerm appTerm 10510 remove appTerm appTerm 9664 ref appTerm absTerm appTerm appTerm absTerm appTerm appTerm 9650 ref appTerm appTerm absTerm appTerm absTerm 11065 def appTerm 11066 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 10598 ref "f'''" 10500 remove var 11067 def 68 ref 11065 ref 11067 ref varTerm 11068 def appTerm 11069 def appTerm 841 ref appTerm 11070 def absTerm nil cons cons nil cons nil cons cons 10603 remove subst 11067 remove nil 24 ref 11070 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 11069 ref nil cons 11071 def cons 1032 ref cons nil cons cons 11072 def 100 ref subst 11072 remove 157 ref subst 11069 ref betaConv 11069 remove assume eqMp nil 83 ref 824 remove 1315 ref 8043 remove 10 ref 1319 ref 1315 ref 10476 remove 1319 ref 9652 ref 901 ref 10 ref 22 remove 11068 ref 1320 ref appTerm 9656 ref appTerm 11073 def appTerm 11064 remove appTerm appTerm 820 ref 531 ref 9656 ref 11073 ref appTerm appTerm 1320 ref 11073 remove appTerm appTerm appTerm appTerm appTerm 9664 remove appTerm absTerm appTerm appTerm absTerm appTerm appTerm 9650 remove appTerm appTerm 11074 def absTerm 11075 def appTerm 11076 def nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp nil 1176 ref 1315 ref 68 ref 11075 ref 1320 ref appTerm 11077 def appTerm 841 ref appTerm 11078 def absTerm 11079 def nil cons cons nil cons nil cons cons 1213 remove subst 1315 ref nil 24 ref 11078 remove nil cons cons nil cons nil cons cons 33 ref subst nil 83 ref 11077 ref nil cons 11080 def cons 1032 ref cons nil cons cons 11081 def 100 ref subst 11081 remove 157 ref subst 11077 ref betaConv 11077 remove assume eqMp nil 83 ref 11074 ref nil cons 11082 def cons 1032 ref cons nil cons cons 11083 def 144 ref subst proveHyp 11083 ref 100 ref subst 11083 remove 157 ref subst nil 83 ref 10 ref 10 ref 10657 ref appTerm 11084 def 178 ref 613 ref 901 ref 820 ref 10674 ref 194 ref appTerm appTerm appTerm 11085 def 531 ref 10665 ref 614 ref appTerm appTerm 10781 ref 614 ref appTerm 11086 def appTerm appTerm absTerm 11087 def appTerm 11088 def appTerm 11089 def appTerm 4964 ref 4966 ref 10665 ref 194 ref appTerm 11090 def appTerm 11091 def appTerm 10781 ref 194 ref appTerm 11092 def appTerm 11093 def appTerm nil cons 11094 def cons 1032 ref cons nil cons cons 11095 def 100 ref subst 11095 remove 157 ref subst nil 119 ref 11089 remove nil cons cons 121 ref 11093 ref nil cons 11096 def cons nil cons cons nil cons cons 11097 def 135 ref subst 11098 def nil 119 ref 10657 remove nil cons 11099 def cons 121 ref 11088 remove nil cons 11100 def cons nil cons cons nil cons cons 11101 def 135 ref subst proveHyp 11102 def nil 83 ref 11099 remove cons 11103 def 84 ref 10 ref 531 ref 10665 ref 10660 ref 10661 remove 11049 ref appTerm 11104 def 194 ref appTerm 11105 def appTerm 9673 ref appTerm 11106 def appTerm appTerm 10781 ref 11106 ref appTerm appTerm 11107 def appTerm 11093 ref appTerm 11108 def nil cons cons nil cons cons nil cons cons 157 ref subst proveHyp 11102 remove nil 11103 remove 84 ref 11096 remove cons nil cons 11109 def cons nil cons cons 157 ref subst proveHyp 11097 remove 581 ref subst 11110 def eqMp nil 83 ref 11084 ref 11093 ref appTerm nil cons cons 84 ref 9233 ref 9234 ref 11106 ref appTerm 11111 def appTerm 194 ref appTerm 11112 def nil cons 11113 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14375" 1 ref var 11114 def 209 remove cons "_14376" 821 ref var 11115 def 10756 remove cons nil cons cons nil cons cons 11116 def nil 836 ref 901 ref 820 ref 10617 ref 11115 remove varTerm 11117 def appTerm 11118 def appTerm 11119 def appTerm 11120 def 820 ref 4964 ref 4966 ref 7200 ref 11117 ref appTerm 11121 def 11114 remove varTerm 11122 def appTerm appTerm appTerm 10781 ref 11122 ref appTerm 11123 def appTerm 11124 def appTerm 11125 def appTerm nil cons cons 838 ref 9233 ref 9234 ref 10660 ref 11104 remove 11122 ref appTerm appTerm 11126 def 11117 ref appTerm 11127 def appTerm appTerm 11122 ref appTerm 11128 def nil cons 11129 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 11125 ref nil cons 11130 def cons 838 ref 11119 remove nil cons 11131 def cons nil cons cons nil cons cons 2144 ref subst 23 ref nil 838 ref 11118 ref nil cons cons nil cons 11132 def nil cons cons 2086 ref subst appThm nil 838 ref 11124 ref nil cons 11133 def cons nil cons nil cons cons 2086 ref subst appThm trans appThm 11128 ref refl appThm trans nil 917 ref 11130 ref cons 84 ref 11129 ref cons 83 ref 11131 ref cons nil cons cons cons nil cons cons 2174 ref subst nil 984 remove 11131 remove cons 11134 def 983 ref 11129 remove cons 2148 remove 11130 remove cons nil cons 11135 def cons cons nil cons cons 3414 ref subst 9672 ref 10 ref 901 ref 10659 ref 9233 ref 9234 ref 11126 remove 9673 remove appTerm 11136 def appTerm appTerm 11122 ref appTerm appTerm appTerm 820 ref 4964 remove 4966 remove 10665 ref 11122 ref appTerm appTerm appTerm 11123 remove appTerm appTerm 11137 def appTerm appTerm 901 ref 10659 ref 820 ref 531 ref 10665 ref 11136 ref appTerm appTerm 10781 ref 11136 remove appTerm appTerm appTerm appTerm appTerm 11137 remove appTerm appTerm absTerm 11138 def 11117 ref appTerm 11139 def betaConv 183 ref 1319 ref 9672 ref 10 ref 901 ref 10659 ref 11112 ref appTerm 11140 def appTerm 820 ref 11093 remove appTerm 11141 def appTerm appTerm 901 ref 10659 ref 820 ref 11107 ref appTerm 11142 def appTerm 11143 def appTerm 11141 ref appTerm appTerm absTerm appTerm absTerm 11144 def 11122 ref appTerm 11145 def betaConv 179 ref 183 ref 3492 ref 9672 ref 1874 ref nil 10736 remove 836 ref 11113 ref cons 1605 ref 11142 ref nil cons cons nil cons cons cons nil cons cons 2480 ref subst appThm 11141 ref refl appThm nil 838 ref 11140 remove nil cons cons 836 ref 11143 remove nil cons cons 1605 ref 11141 ref nil cons cons nil cons cons cons nil cons cons 5138 ref subst trans absThm appThm absThm appThm 23 ref 179 ref 183 ref 23 ref 10744 remove nil 210 ref nil cons cons 10746 remove subst 11146 def appThm nil 10748 remove 1315 ref 10618 remove 10455 remove appTerm 11147 def 194 ref appTerm 11148 def nil cons 11149 def cons nil cons cons nil cons cons 10750 remove subst trans appThm 23 ref 179 ref 613 ref 1874 ref 932 ref 10752 remove 1146 ref appThm nil 10753 remove 210 ref cons nil cons cons 9281 ref subst trans appThm appThm 11150 def 1516 ref 11146 ref 9169 remove appThm nil 825 remove 11149 remove cons 11151 def 10751 ref cons nil cons cons 7283 ref subst trans appThm nil 10777 ref 10751 ref cons nil cons cons 7283 ref subst 11152 def appThm appThm absThm appThm appThm 1516 ref 11146 remove 1146 ref appThm nil 11151 remove 210 ref cons nil cons cons 7283 ref subst trans appThm nil 10777 ref 210 ref cons nil cons cons 7283 ref subst 11153 def appThm appThm appThm absThm appThm appThm 179 ref 183 ref 3492 ref 9672 ref 1874 ref 10759 remove 23 ref 3446 ref nil 10469 remove 11049 remove nil cons cons 210 ref cons nil cons cons 10761 remove subst 9832 ref appThm nil 10359 ref 11105 remove nil cons cons 10757 remove cons nil cons cons 10762 ref subst trans 11154 def appThm 1146 ref appThm nil 9278 ref 180 ref 11106 remove nil cons 11155 def cons nil cons 11156 def cons nil cons cons 9279 ref subst 1146 remove appThm nil 9280 ref 11111 remove nil cons cons 210 ref cons nil cons cons 9281 ref subst trans trans appThm 932 ref 1516 ref 9832 remove 11154 ref appThm nil 10765 ref 11156 ref cons nil cons cons 7283 ref subst trans appThm 10448 ref 11154 remove appThm nil 10777 ref 11156 remove cons nil cons cons 7283 ref subst trans appThm appThm appThm appThm appThm 932 ref 1222 remove nil 10765 ref 210 remove cons nil cons cons 7283 ref subst appThm 11153 remove appThm nil 5154 remove 64 ref 11090 remove nil cons cons nil cons cons nil cons cons 5156 remove subst 11092 ref refl appThm nil 784 remove 11091 remove nil cons cons 64 remove 11092 ref nil cons cons nil cons cons nil cons cons 5157 remove subst trans trans 11157 def appThm appThm absThm appThm absThm appThm appThm 11055 remove assume eqMp 11158 def nil 119 ref 178 ref 183 ref 10 ref 10617 ref 11148 ref appTerm 11159 def appTerm 11160 def 10 ref 178 ref 613 ref 11085 remove 531 ref 7200 ref 11148 remove appTerm 11161 def 614 ref appTerm appTerm 11086 ref appTerm appTerm 11162 def absTerm 11163 def appTerm appTerm 531 ref 11161 remove 194 ref appTerm appTerm 11092 remove appTerm 11164 def appTerm appTerm absTerm appTerm nil cons cons 121 ref 178 ref 183 ref 1319 ref 9672 remove 901 ref 10659 remove 10 ref 11112 remove appTerm 11142 remove appTerm appTerm appTerm 11141 remove appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons cons nil cons cons 11165 def 581 ref subst proveHyp eqMp nil 83 ref 178 ref 11144 ref appTerm nil cons cons 84 ref 11145 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 11144 remove nil cons cons 180 ref 11122 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1319 ref 11138 ref appTerm nil cons cons 84 ref 11139 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 11138 remove nil cons cons 1315 ref 11117 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 11166 def nil 119 ref 901 ref 11120 ref 11128 remove appTerm appTerm 11125 ref appTerm nil cons cons 121 ref 901 ref 11120 ref 820 ref 531 ref 11121 remove 11127 ref appTerm appTerm 10781 ref 11127 remove appTerm appTerm 11167 def appTerm 11168 def appTerm appTerm 11125 remove appTerm nil cons cons nil cons cons nil cons cons 11169 def 135 ref subst proveHyp eqMp eqMp eqMp subst eqMp nil 83 ref 11113 remove cons 84 ref 11107 remove nil cons 11170 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14377" 1 ref var 11171 def 11155 remove cons nil cons nil cons cons nil 836 ref 820 ref 9233 ref 9234 ref 11171 remove varTerm 11172 def appTerm appTerm 194 remove appTerm 11173 def appTerm nil cons 11174 def cons 838 ref 531 ref 10665 remove 11172 ref appTerm appTerm 10781 ref 11172 ref appTerm appTerm 11175 def nil cons 11176 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 11173 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 11175 remove refl appThm trans nil 84 ref 11176 remove cons 83 ref 11174 remove cons nil cons cons nil cons cons 2097 ref subst 11087 ref 11172 ref appTerm 11177 def betaConv 11098 remove 11101 remove 581 ref subst proveHyp nil 83 ref 11100 remove cons 84 ref 11177 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 11087 remove nil cons cons 180 ref 11172 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp eqMp eqMp subst eqMp nil 83 ref 11170 remove cons 11109 remove cons nil cons cons 157 ref subst proveHyp 11110 remove eqMp eqMp nil 83 ref 11084 remove 11108 remove appTerm nil cons cons 1032 ref cons nil cons cons 144 ref subst proveHyp 11116 remove 11120 remove refl nil 836 ref 11133 remove cons 838 ref 11167 ref nil cons cons nil cons cons nil cons cons 5434 ref subst appThm nil 836 ref 10 ref 11167 remove appTerm 11124 remove appTerm 11178 def nil cons cons 11132 remove cons nil cons cons 5434 remove subst trans nil 83 ref 10 ref 11118 remove appTerm 11178 remove appTerm nil cons cons nil cons nil cons cons 2222 ref subst trans nil 11134 remove 983 remove 11168 remove nil cons cons 11135 remove cons cons nil cons cons 3414 remove subst 11166 remove 11169 remove 581 ref subst proveHyp eqMp eqMp subst eqMp eqMp nil 119 ref 11094 ref cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp nil 83 ref 10845 ref cons 11179 def 1032 ref cons nil cons cons 11180 def 100 ref subst 11180 remove 157 ref subst nil 83 ref 10782 remove nil cons 11181 def cons 11182 def nil cons nil cons cons 11183 def 5009 remove subst nil 11179 ref 84 ref 11181 ref cons nil cons 11184 def cons nil cons cons 11185 def 100 remove subst 11185 remove 157 ref subst nil 11179 remove 84 ref 10617 ref 11147 ref 10660 ref 11059 ref appTerm 11186 def 9656 ref appTerm 11187 def appTerm 11188 def appTerm 11189 def nil cons cons nil cons 11190 def cons nil cons cons 157 ref subst nil "_14367" 1 ref var 11191 def 11187 ref nil cons cons 11192 def nil cons nil cons cons 613 ref 10 ref 10617 ref 11147 remove 11191 remove varTerm 11193 def appTerm 11194 def appTerm 11195 def appTerm 10 ref 901 ref 820 ref 10674 remove 11193 ref appTerm appTerm appTerm 531 ref 7200 ref 11194 remove appTerm 11196 def 614 ref appTerm appTerm 11086 remove appTerm appTerm appTerm 531 ref 11196 ref 11193 ref appTerm appTerm 10781 ref 11193 ref appTerm appTerm 11197 def appTerm appTerm absTerm 11198 def "_14368" 1 remove var 11199 def varTerm 11200 def appTerm 11201 def betaConv 183 ref 178 ref 613 ref 11160 ref 10 ref 11162 remove appTerm 11164 ref appTerm 11202 def appTerm absTerm appTerm absTerm 11203 def 11193 ref appTerm 11204 def betaConv 179 ref 183 remove 11160 remove refl 11205 def 123 ref 23 ref 179 ref 613 ref 11163 ref 614 ref appTerm betaConv 11206 def absThm appThm appThm 11164 ref refl 11207 def appThm appThm 179 ref 613 ref 23 ref 11206 remove appThm 11207 remove appThm absThm appThm appThm nil 287 remove 11163 remove nil cons cons 84 ref 11164 remove nil cons cons nil cons cons nil cons cons 10712 remove subst eqMp appThm 123 ref 11205 ref 179 ref 613 ref 613 ref 11202 remove absTerm 11208 def 614 remove appTerm betaConv 11209 def absThm appThm appThm appThm 179 ref 613 ref 11205 remove 11209 remove appThm absThm appThm appThm nil 1996 remove 11208 remove nil cons cons 83 ref 11159 remove nil cons cons nil cons cons nil cons cons 10717 remove subst eqMp trans absThm appThm 11158 remove 11165 remove 135 ref subst proveHyp eqMp nil 83 ref 178 ref 11203 ref appTerm nil cons cons 84 ref 11204 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 11203 remove nil cons cons 180 ref 11193 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 178 ref 11198 ref appTerm nil cons cons 84 ref 11201 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 ref 206 ref 11198 remove nil cons cons 180 ref 11200 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 11210 def nil 119 ref 11195 remove nil cons cons 121 ref 10 ref 901 ref 820 ref 9233 ref 9234 ref 11200 ref appTerm appTerm 11193 remove appTerm 11211 def appTerm 11212 def appTerm 531 ref 11196 remove 11200 ref appTerm appTerm 10781 ref 11200 remove appTerm appTerm 11213 def appTerm 11214 def appTerm 11197 ref appTerm nil cons cons nil cons cons nil cons cons 11215 def 135 ref subst proveHyp subst 11216 def eqMp nil 83 ref 10 ref 10783 ref appTerm 11189 ref appTerm nil cons cons 84 ref 9233 ref 9234 ref 10660 ref 10769 remove 11068 ref appTerm 11217 def 9656 ref appTerm appTerm 11188 ref appTerm 11218 def appTerm appTerm 11187 remove appTerm nil cons 11219 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil "_14366" 821 ref var 11220 def 11188 ref nil cons cons 11221 def "_14365" 821 remove var 11222 def 10127 remove cons 11223 def nil cons cons nil cons cons nil 836 ref 901 ref 10617 ref 11222 remove varTerm 11224 def appTerm 11225 def appTerm 11226 def 820 ref 10617 remove 11220 remove varTerm 11227 def appTerm 11228 def appTerm 11229 def appTerm nil cons cons 838 ref 9233 ref 9234 ref 10660 ref 11217 ref 11224 ref appTerm appTerm 11230 def 11227 ref appTerm 11231 def appTerm appTerm 11186 ref 11224 ref appTerm 11232 def appTerm 11233 def nil cons 11234 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 836 ref 11229 ref nil cons 11235 def cons 11236 def 838 ref 11225 ref nil cons 11237 def cons nil cons 11238 def cons nil cons cons 2144 ref subst 10 ref 820 ref 11225 ref appTerm appTerm refl nil 838 ref 11228 remove nil cons cons nil cons nil cons cons 2086 ref subst 11239 def appThm trans appThm 11233 ref refl appThm trans 27 remove 11226 ref 901 ref 11233 remove appTerm 11229 ref appTerm appTerm 11240 def appTerm refl nil 917 remove 11235 remove cons 84 ref 11237 remove cons 83 ref 11234 remove cons nil cons cons cons nil cons cons 2174 remove subst appThm nil 315 remove 11240 remove nil cons 11241 def cons nil cons nil cons cons 805 remove subst trans sym 32 remove eqMp 9652 ref 10 ref 11226 ref 901 ref 9233 ref 9234 ref 11230 remove 9656 ref appTerm 11242 def appTerm appTerm 11232 remove appTerm appTerm 10783 ref appTerm appTerm appTerm 11226 ref 901 ref 820 ref 531 ref 10781 ref 11242 ref appTerm appTerm 7200 ref 11224 ref appTerm 11243 def 11242 remove appTerm appTerm appTerm appTerm 10783 ref appTerm appTerm appTerm absTerm 11244 def 11227 ref appTerm 11245 def betaConv 1315 ref 1319 ref 9652 ref 10 ref 10780 ref 901 ref 9233 remove 9234 remove 10660 remove 11217 remove 1320 ref appTerm 11246 def appTerm 9656 ref appTerm 11247 def appTerm 11248 def appTerm 11186 remove 1320 ref appTerm 11249 def appTerm 11250 def appTerm 10783 ref appTerm 11251 def appTerm appTerm 10780 ref 901 ref 820 ref 531 ref 10781 ref 11247 ref appTerm appTerm 8751 remove 11247 ref appTerm appTerm appTerm 11252 def appTerm 10783 ref appTerm 11253 def appTerm appTerm absTerm appTerm absTerm 11254 def 11224 ref appTerm 11255 def betaConv 3492 ref 1315 ref 123 remove 10780 ref refl 11256 def 3492 ref 9652 ref 9652 ref 901 ref 10 ref 11250 ref appTerm 11252 ref appTerm appTerm 10783 ref appTerm absTerm 11257 def 9656 ref appTerm betaConv 11258 def absThm appThm appThm appThm 3492 ref 9652 ref 11256 ref 11258 remove appThm absThm appThm appThm nil 6591 ref 11257 ref nil cons cons 83 ref 10779 ref nil cons 11259 def cons nil cons cons nil cons cons 10735 remove subst eqMp absThm appThm 3492 ref 1315 ref 3492 ref 9652 ref 11256 remove nil 838 ref 11250 remove nil cons cons 836 ref 11252 remove nil cons cons 1605 ref 10845 ref cons nil cons cons cons nil cons cons 5138 remove subst appThm nil 838 ref 11259 ref cons 836 ref 11251 remove nil cons cons 1605 remove 11253 remove nil cons cons nil cons cons cons nil cons cons 2480 remove subst trans absThm appThm absThm appThm trans 8116 remove 23 ref 3492 ref 1315 ref 10767 remove 3492 ref 9652 ref 1874 remove 23 ref 3446 remove nil 10505 remove 11068 remove nil cons cons nil cons nil cons cons 10768 remove subst 10448 ref appThm nil 10359 ref 11246 remove nil cons cons 10771 remove cons nil cons cons 10762 ref subst trans 11260 def appThm nil 10359 remove 11059 remove nil cons cons nil cons nil cons cons 10762 remove subst appThm nil 9278 remove 180 ref 11247 remove nil cons cons nil cons 11261 def cons nil cons cons 9279 remove subst 11249 ref refl appThm nil 9280 remove 11248 remove nil cons cons 180 ref 11249 remove nil cons cons nil cons cons nil cons cons 9281 remove subst trans trans appThm 932 remove 1516 ref 10448 remove 11260 ref appThm nil 10777 remove 11261 ref cons nil cons cons 7283 ref subst trans appThm 8761 remove 11260 remove appThm nil 8764 remove 11261 remove cons nil cons cons 7283 ref subst trans appThm appThm appThm appThm 10778 remove appThm absThm appThm appThm absThm appThm appThm 10766 remove appThm appThm 11074 remove assume eqMp nil 8127 remove 121 ref 10 ref 1319 ref 1315 ref 10780 remove 1319 ref 11257 remove appTerm appTerm absTerm appTerm 11262 def appTerm 10779 remove appTerm nil cons cons nil cons cons nil cons cons 581 ref subst proveHyp nil 119 ref 11262 remove nil cons cons 121 ref 11259 remove cons nil cons cons nil cons cons 135 ref subst proveHyp eqMp nil 83 ref 1319 ref 11254 ref appTerm nil cons cons 84 ref 11255 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 11254 remove nil cons cons 1315 ref 11224 remove nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp nil 83 ref 1319 ref 11244 ref appTerm nil cons cons 84 ref 11245 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 11244 remove nil cons cons 1315 ref 11227 ref nil cons cons nil cons cons nil cons cons 173 ref subst eqMp eqMp 11263 def nil 119 ref 11241 remove cons 121 ref 11226 remove 901 remove 820 remove 531 ref 7200 ref 11227 remove appTerm 11231 ref appTerm appTerm 11243 remove 11231 remove appTerm appTerm 11264 def appTerm 11265 def appTerm 11229 remove appTerm 11266 def appTerm nil cons cons nil cons cons nil cons cons 11267 def 135 ref subst proveHyp eqMp eqMp subst eqMp nil 83 ref 11219 remove cons 84 ref 531 remove 7200 remove 11188 remove appTerm 11218 ref appTerm appTerm 10781 remove 11218 ref appTerm appTerm 11268 def nil cons 11269 def cons nil cons cons nil cons cons 144 ref subst proveHyp nil 11192 remove 11199 remove 11218 remove nil cons cons nil cons cons nil cons cons nil 836 ref 11212 remove nil cons 11270 def cons 838 ref 11213 ref nil cons 11271 def cons nil cons cons nil cons cons 2085 ref subst 182 ref nil 838 ref 11211 remove nil cons cons nil cons nil cons cons 2086 ref subst appThm 11213 remove refl appThm trans nil 84 ref 11271 remove cons 83 ref 11270 remove cons nil cons cons nil cons cons 2097 remove subst 11210 remove 11215 remove 581 ref subst proveHyp nil 119 ref 11214 remove nil cons cons 121 ref 11197 remove nil cons cons nil cons cons nil cons cons 135 ref subst proveHyp eqMp eqMp subst eqMp nil 83 ref 11269 remove cons 11190 remove cons nil cons cons 157 remove subst proveHyp 11216 remove eqMp nil 83 ref 10 remove 11268 remove appTerm 11189 remove appTerm nil cons cons 11184 remove cons nil cons cons 144 ref subst proveHyp nil 11223 remove 11221 remove nil cons cons nil cons cons nil 836 remove 11266 remove nil cons cons 11238 remove cons nil cons cons 2085 remove subst 182 ref nil 11236 remove 838 ref 11265 remove nil cons cons nil cons cons nil cons cons 2144 remove subst 23 ref nil 838 remove 11264 remove nil cons cons nil cons nil cons cons 2086 remove subst appThm 11239 remove appThm trans appThm 11225 remove refl appThm trans 11263 remove 11267 remove 581 remove subst proveHyp eqMp subst eqMp eqMp nil 119 ref 10845 remove cons 11272 def 121 ref 11181 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp nil 11182 remove 1032 remove cons nil cons cons 144 ref subst proveHyp 11183 remove 2222 remove subst 10783 remove assume eqMp eqMp eqMp nil 11272 ref 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp 10846 remove 23 ref 23 remove 10758 remove appThm 179 remove 613 remove 11150 remove 1516 remove nil 10765 remove 10751 remove cons nil cons cons 7283 remove subst appThm 11152 remove appThm appThm absThm appThm appThm appThm 11157 remove appThm appThm 10996 remove assume eqMp nil 11272 remove 121 ref 11094 remove cons 2233 remove cons cons nil cons cons 931 remove subst proveHyp proveHyp proveHyp eqMp nil 119 ref 11082 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 11080 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1319 ref 11079 remove appTerm nil cons cons 84 ref 68 ref 11076 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 ref 1176 ref 11075 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 11071 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 10922 remove 10923 remove 68 ref 11065 ref 10924 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 11066 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10518 remove 10598 remove 11065 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 11062 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 10925 remove 10926 remove 68 ref 10539 remove 10927 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 10540 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10374 remove 10370 remove 10556 remove cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 11056 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 11052 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 10928 remove 10929 remove 68 ref 11040 ref 10930 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 11041 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10551 remove 10577 remove 11040 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 11046 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 10931 remove 10932 remove 68 ref 11042 ref 10933 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 11043 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 10546 remove 10565 remove 11042 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 11009 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 ref 11007 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 178 remove 180 remove 68 ref 10997 ref 188 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 10998 remove appTerm 841 ref appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 205 remove 206 remove 10997 remove nil cons cons 1390 ref cons nil cons cons 442 ref subst eqMp eqMp eqMp nil 119 ref 11003 remove cons 1390 ref cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp nil 83 ref 1319 remove 1315 remove 68 ref 10999 ref 1320 remove appTerm appTerm 841 ref appTerm absTerm appTerm nil cons cons 84 ref 68 ref 11000 remove appTerm 841 remove appTerm nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 1175 remove 1176 remove 10999 remove nil cons cons 1390 ref cons nil cons cons 442 remove subst eqMp eqMp eqMp nil 119 ref 10985 remove cons 1390 remove cons nil cons cons 135 ref subst deductAntisym eqMp eqMp eqMp nil 119 remove 10981 remove cons 121 ref 10982 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 10239 ref 121 ref 10979 remove cons nil cons cons nil cons cons 135 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 83 ref 275 ref 10966 ref appTerm nil cons cons 84 ref 10967 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 279 remove 280 ref 10966 remove nil cons cons 283 remove cons nil cons cons 173 ref subst eqMp eqMp nil 83 remove 10965 remove nil cons cons 84 ref 10964 remove nil cons cons nil cons cons nil cons cons 144 ref subst proveHyp 9697 remove 9696 remove 10963 remove nil cons cons 10938 remove 9833 remove cons nil cons cons nil cons cons 173 remove subst eqMp eqMp eqMp eqMp nil 10960 remove 84 remove 68 remove 10940 remove appTerm 9691 remove appTerm nil cons cons nil cons cons nil cons cons 144 remove subst proveHyp 182 ref 3492 remove 9652 ref 182 ref 10939 ref 9656 ref appTerm betaConv 11273 def appThm 9690 ref 9656 remove appTerm betaConv 11274 def appThm absThm appThm appThm 182 remove 1138 ref 9652 ref 11273 remove absThm appThm appThm 1138 remove 9652 remove 11274 remove absThm appThm appThm appThm nil 6590 remove 10939 remove nil cons cons 6591 remove 9690 remove nil cons cons nil cons cons nil cons cons 6593 remove subst eqMp eqMp eqMp proveHyp eqMp nil 10239 remove 121 remove 9701 remove cons nil cons cons nil cons cons 135 remove subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 275 ref 9695 remove appTerm thm nil 280 remove 248 ref 446 remove 3852 remove appTerm 11275 def absTerm 11276 def nil cons cons nil cons nil cons cons 390 remove subst 248 remove nil 24 remove 11275 remove nil cons cons nil cons nil cons cons 33 remove subst 6233 remove eqMp absThm eqMp nil 275 remove 11276 remove appTerm thm