path: "vendor/opentheory/data/theories/set-thm/set-thm.art"
6 version nil "s" "Set.set" typeOp 0 def "A" varType 1 def nil cons 2 def opType 3 def var 4 def "Set.universe" const 5 def 3 ref constTerm 6 def nil cons 7 def cons 8 def nil cons 9 def nil cons cons 10 def nil "t" 3 ref var 11 def "Set.{}" const 12 def 3 ref constTerm 13 def nil cons 14 def cons 15 def nil cons nil cons cons 16 def "=" const 17 def "->" typeOp 18 def "bool" typeOp nil opType 19 def 18 ref 19 ref 19 ref nil cons 20 def cons opType 21 def nil cons cons opType 22 def constTerm 23 def 17 ref 18 ref 3 ref 18 ref 3 ref 20 ref cons opType 24 def nil cons 25 def cons opType 26 def constTerm 27 def 4 ref varTerm 28 def appTerm 29 def 11 ref varTerm 30 def appTerm 31 def appTerm 32 def refl 23 ref refl 33 def "Data.Bool.~" const 21 ref constTerm 34 def refl 35 def "Data.Bool.?" const 36 def 18 ref 18 ref 1 ref 20 ref cons opType 37 def 20 ref cons opType 38 def constTerm 39 def refl 40 def "x" 1 ref var 41 def 41 ref 23 ref "Set.member" const 42 def 18 ref 1 ref 25 ref cons opType 43 def constTerm 44 def 41 ref varTerm 45 def appTerm 46 def 30 ref appTerm 47 def appTerm 48 def 34 ref 46 ref 28 ref appTerm 49 def appTerm 50 def appTerm absTerm 51 def 45 ref appTerm betaConv 52 def absThm appThm appThm appThm "Data.Bool.!" const 53 def 38 ref constTerm 54 def refl 55 def 41 ref 35 ref 52 remove appThm absThm appThm appThm nil "p" 37 ref var 56 def 51 ref nil cons cons nil cons nil cons cons 56 ref 23 ref 34 ref 39 ref 41 ref 56 ref varTerm 57 def 45 ref appTerm 58 def absTerm 59 def appTerm 60 def appTerm appTerm 54 ref 41 ref 34 ref 58 ref appTerm absTerm 61 def appTerm appTerm absTerm 62 def 57 ref appTerm 63 def betaConv nil 53 ref 18 ref 38 ref 20 ref cons opType 64 def constTerm 65 def 62 ref appTerm 66 def axiom nil "p" 19 ref var 67 def 66 remove nil cons cons "q" 19 ref var 68 def 63 remove nil cons cons nil cons cons nil cons cons 23 ref "Data.Bool.==>" const 22 ref constTerm 69 def 67 ref varTerm 70 def appTerm 71 def 68 ref varTerm 72 def appTerm 73 def appTerm 74 def refl 67 ref 68 ref 23 ref "Data.Bool./\\" const 22 ref constTerm 75 def 70 ref appTerm 76 def 72 ref appTerm 77 def appTerm 78 def 70 ref appTerm absTerm 79 def absTerm 80 def 70 ref appTerm betaConv 72 ref refl 81 def appThm 79 remove 72 ref appTerm betaConv trans appThm nil 17 ref 18 ref 22 ref 18 ref 22 ref 20 ref cons opType 82 def nil cons cons opType constTerm 83 def 69 ref appTerm 80 remove appTerm axiom 70 ref refl 84 def appThm 81 ref appThm eqMp 85 def sym 86 def 78 remove refl 68 ref 17 ref 18 ref 82 ref 18 ref 82 remove 20 ref cons opType nil cons cons opType constTerm 87 def "f" 22 ref var 88 def 88 ref varTerm 89 def 70 ref appTerm 72 ref appTerm absTerm 90 def appTerm 88 ref 89 ref "Data.Bool.T" const 19 ref constTerm 91 def appTerm 91 ref appTerm absTerm 92 def appTerm absTerm 93 def 72 ref appTerm betaConv appThm 17 ref 18 ref 21 ref 18 ref 21 ref 20 ref cons opType 94 def nil cons cons opType constTerm 95 def 76 ref appTerm refl 67 ref 93 remove absTerm 96 def 70 ref appTerm betaConv appThm nil 83 ref 75 ref appTerm 96 ref appTerm axiom 97 def 84 ref appThm eqMp 81 ref appThm eqMp 98 def sym 88 ref 89 ref refl nil "t" 19 ref var 99 def 70 ref nil cons 100 def cons nil cons nil cons cons 101 def 23 ref 99 ref varTerm 102 def appTerm 103 def 91 ref appTerm 104 def assume sym nil 91 ref axiom 105 def eqMp 102 ref assume 105 ref deductAntisym deductAntisym 106 def subst 70 ref assume 107 def eqMp appThm nil 99 ref 72 ref nil cons 108 def cons nil cons nil cons cons 109 def 106 ref subst 72 ref assume 110 def eqMp appThm absThm eqMp 111 def nil "P" 19 ref var 112 def 100 ref cons 113 def "Q" 19 ref var 114 def 108 ref cons nil cons 115 def cons nil cons cons 33 ref 88 ref 89 remove 112 ref varTerm 116 def appTerm 117 def 114 ref varTerm 118 def appTerm absTerm 119 def 67 ref 68 ref 70 ref absTerm absTerm 120 def appTerm betaConv 120 ref 116 ref appTerm betaConv 118 ref refl 121 def appThm 68 ref 116 ref absTerm 118 ref appTerm betaConv trans trans appThm 92 ref 120 ref appTerm betaConv 120 ref 91 ref appTerm betaConv 91 ref refl 122 def appThm 68 ref 91 ref absTerm 91 ref appTerm betaConv trans trans appThm 23 ref 75 ref 116 ref appTerm 123 def 118 ref appTerm 124 def appTerm refl 68 ref 87 remove 88 remove 117 remove 72 ref appTerm absTerm appTerm 92 ref appTerm absTerm 118 ref appTerm betaConv appThm 95 ref 123 remove appTerm refl 96 remove 116 ref appTerm betaConv appThm 97 remove 116 ref refl 125 def appThm eqMp 121 ref appThm eqMp 124 remove assume eqMp 126 def 120 remove refl appThm eqMp sym 105 ref eqMp 127 def subst 128 def deductAntisym eqMp 85 remove 73 ref assume 129 def eqMp sym 107 remove eqMp 33 ref 90 remove 67 ref 68 ref 72 ref absTerm 130 def absTerm 131 def appTerm betaConv 131 ref 70 ref appTerm betaConv 81 ref appThm 130 ref 72 ref appTerm betaConv trans trans appThm 92 remove 131 ref appTerm betaConv 131 ref 91 ref appTerm betaConv 122 remove appThm 130 ref 91 ref appTerm betaConv trans trans 132 def appThm 98 remove 77 ref assume eqMp 131 ref refl 133 def appThm eqMp sym 105 ref eqMp 134 def proveHyp 135 def deductAntisym 136 def subst proveHyp "A" 37 ref nil cons 137 def cons 138 def nil cons 139 def "P" 38 ref var 140 def 62 remove nil cons cons "x" 37 ref var 141 def 57 ref nil cons 142 def cons nil cons 143 def cons nil cons cons nil 67 ref 54 ref "P" 37 ref var 144 def varTerm 145 def appTerm 146 def nil cons 147 def cons 68 ref 145 ref 45 ref appTerm 148 def nil cons 149 def cons nil cons cons nil cons cons 150 def 86 ref subst 150 remove 134 remove 111 remove deductAntisym 151 def subst 23 ref 148 ref appTerm refl 41 ref 91 ref absTerm 152 def 45 ref appTerm betaConv 153 def appThm 56 ref 17 ref 18 ref 37 ref 38 ref nil cons cons opType constTerm 154 def 57 ref appTerm 152 ref appTerm absTerm 155 def 145 ref appTerm betaConv 156 def nil 17 ref 18 ref 38 ref 64 ref nil cons cons opType constTerm 157 def 54 ref appTerm 155 remove appTerm axiom 145 ref refl 158 def appThm 159 def 146 ref assume eqMp eqMp 45 ref refl 160 def appThm eqMp sym 105 ref eqMp eqMp nil 112 ref 147 remove cons 114 ref 149 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp 161 def subst eqMp eqMp 162 def subst eqMp 55 ref 41 ref nil "y" 19 ref var 163 def 49 ref nil cons 164 def cons 165 def "x" 19 ref var 166 def 47 ref nil cons 167 def cons nil cons 168 def cons nil cons cons nil 67 ref 23 ref 166 ref varTerm 169 def appTerm 170 def "Data.Bool.F" const 19 ref constTerm 171 def appTerm 172 def nil cons 173 def cons 174 def 68 ref 23 ref 34 ref 170 ref 34 ref 163 ref varTerm 175 def appTerm 176 def appTerm 177 def appTerm appTerm 23 ref 175 ref appTerm 178 def 169 ref appTerm appTerm nil cons 179 def cons nil cons 180 def cons nil cons cons 181 def 86 ref subst 181 remove 151 ref subst 23 ref "_10438" 19 ref var 182 def 23 ref 34 ref 23 ref 182 remove varTerm 183 def appTerm 176 ref appTerm appTerm appTerm 178 ref 183 remove appTerm appTerm absTerm 184 def 169 ref appTerm 185 def appTerm refl 186 def 184 ref 171 ref appTerm betaConv appThm 33 ref 185 remove betaConv appThm 187 def 23 ref 34 ref 23 ref 171 ref appTerm 188 def 176 ref appTerm 189 def appTerm appTerm 178 ref 171 ref appTerm 190 def appTerm refl appThm trans 184 remove refl 191 def 172 remove assume 192 def appThm eqMp sym 33 ref 35 ref nil 99 ref 176 ref nil cons 193 def cons nil cons nil cons cons 194 def 99 ref 23 ref 188 ref 102 ref appTerm appTerm 34 ref 102 ref appTerm 195 def appTerm absTerm 196 def 102 ref appTerm 197 def betaConv nil 53 ref 94 remove constTerm 198 def 196 ref appTerm 199 def axiom nil 67 ref 199 remove nil cons cons 68 ref 197 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 20 ref cons nil cons 200 def "P" 21 remove var 201 def 196 remove nil cons cons 166 ref 102 ref nil cons 202 def cons nil cons 203 def cons nil cons cons 161 ref subst eqMp eqMp 204 def subst nil 99 ref 175 ref nil cons 205 def cons nil cons nil cons cons 206 def 99 ref 23 ref 34 ref 195 ref appTerm appTerm 102 ref appTerm absTerm 207 def 102 ref appTerm 208 def betaConv nil 198 ref 207 ref appTerm 209 def axiom nil 67 ref 209 remove nil cons cons 68 ref 208 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 207 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 210 def subst 211 def trans 212 def appThm appThm 206 ref 99 ref 23 ref 103 remove 171 ref appTerm 213 def appTerm 195 ref appTerm absTerm 214 def 102 ref appTerm 215 def betaConv nil 198 ref 214 ref appTerm 216 def axiom nil 67 ref 216 remove nil cons cons 68 ref 215 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 214 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 217 def subst appThm nil 166 ref 193 remove cons nil cons nil cons cons 200 ref nil nil cons 218 def cons 219 def nil 99 ref 17 ref 18 ref 1 ref 137 ref cons opType constTerm 220 def 45 ref appTerm 221 def 45 ref appTerm 222 def nil cons 223 def cons nil cons nil cons cons 106 ref subst 160 ref eqMp 224 def subst 225 def subst 226 def trans sym 105 ref eqMp eqMp eqMp nil 112 ref 173 ref cons 227 def 114 ref 179 ref cons nil cons 228 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 170 ref 91 ref appTerm 229 def nil cons 230 def cons 231 def 180 remove cons nil cons cons 232 def 86 ref subst 232 remove 151 ref subst 186 remove "_10436" 19 ref var 233 def 23 ref 34 ref 23 ref 233 remove varTerm 234 def appTerm 176 ref appTerm appTerm appTerm 178 ref 234 remove appTerm appTerm absTerm 91 ref appTerm betaConv appThm 187 remove 23 ref 34 ref 23 ref 91 ref appTerm 235 def 176 ref appTerm 236 def appTerm appTerm 178 ref 91 ref appTerm 237 def appTerm refl appThm trans 191 remove 229 remove assume 238 def appThm eqMp sym 33 ref 35 ref 194 ref 99 ref 23 ref 235 ref 102 ref appTerm appTerm 102 ref appTerm absTerm 239 def 102 ref appTerm 240 def betaConv nil 198 ref 239 ref appTerm 241 def axiom nil 67 ref 241 remove nil cons cons 68 ref 240 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 239 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 242 def subst 243 def appThm 211 ref trans appThm 206 ref 99 ref 23 ref 104 ref appTerm 102 ref appTerm absTerm 244 def 102 ref appTerm 245 def betaConv nil 198 ref 244 ref appTerm 246 def axiom nil 67 ref 246 remove nil cons cons 68 ref 245 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 244 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 247 def subst appThm nil 166 ref 205 remove cons nil cons 248 def nil cons cons 225 ref subst 249 def trans sym 105 ref eqMp eqMp eqMp nil 112 ref 230 remove cons 250 def 228 remove cons nil cons cons 127 ref subst deductAntisym eqMp 99 ref "Data.Bool.\\/" const 22 remove constTerm 251 def 104 remove appTerm 213 remove appTerm absTerm 252 def 169 ref appTerm 253 def betaConv nil 198 ref 252 ref appTerm 254 def axiom 255 def nil 67 ref 254 remove nil cons cons 256 def 68 ref 253 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 252 ref nil cons cons 257 def 166 ref 169 ref nil cons 258 def cons nil cons cons nil cons cons 161 ref subst eqMp eqMp 259 def nil 250 ref 114 ref 173 remove cons 260 def "R" 19 ref var 261 def 179 remove cons nil cons cons cons nil cons cons nil 67 ref 69 ref 118 ref appTerm 262 def 261 ref varTerm 263 def appTerm 264 def nil cons cons 68 ref 263 ref nil cons 265 def cons nil cons cons nil cons cons 136 ref subst nil 67 ref 69 ref 116 ref appTerm 266 def 263 ref appTerm nil cons cons 68 ref 69 ref 264 remove appTerm 263 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst "r" 19 ref var 267 def 69 ref 266 ref 267 ref varTerm 268 def appTerm appTerm 269 def 69 ref 262 ref 268 ref appTerm appTerm 268 ref appTerm appTerm absTerm 270 def 263 remove appTerm 271 def betaConv 23 ref 251 ref 116 ref appTerm 272 def 118 ref appTerm 273 def appTerm refl 68 ref 198 ref 267 ref 269 remove 69 ref 69 ref 72 ref appTerm 274 def 268 ref appTerm 275 def appTerm 268 ref appTerm 276 def appTerm absTerm appTerm absTerm 118 ref appTerm betaConv appThm 95 ref 272 remove appTerm refl 67 ref 68 ref 198 ref 267 ref 69 ref 71 ref 268 ref appTerm 277 def appTerm 276 remove appTerm absTerm appTerm absTerm absTerm 278 def 116 ref appTerm betaConv appThm nil 83 remove 251 ref appTerm 278 remove appTerm axiom 125 ref appThm eqMp 121 ref appThm eqMp 279 def 273 remove assume eqMp nil 67 ref 198 ref 270 ref appTerm nil cons cons 68 ref 271 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 270 remove nil cons cons 166 ref 265 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp 280 def subst proveHyp proveHyp proveHyp subst absThm appThm trans appThm sym 11 ref 32 ref 54 ref 41 ref 23 ref 49 ref appTerm 281 def 47 ref appTerm 282 def absTerm 283 def appTerm 284 def appTerm absTerm 285 def 30 ref appTerm 286 def betaConv 4 ref 53 ref 18 ref 24 ref 20 ref cons opType 287 def constTerm 288 def 285 ref appTerm 289 def absTerm 290 def 28 ref appTerm 291 def betaConv 288 ref refl 292 def 4 ref 292 ref 11 ref nil 163 ref 284 ref nil cons 293 def cons 166 ref 31 ref nil cons 294 def cons nil cons 295 def cons nil cons cons 219 ref "y" 1 ref var 296 def 23 ref 221 ref 296 ref varTerm 297 def appTerm 298 def appTerm 299 def 220 ref 297 ref appTerm 300 def 45 ref appTerm 301 def appTerm absTerm 302 def 297 ref appTerm 303 def betaConv 41 ref 54 ref 302 ref appTerm 304 def absTerm 305 def 45 ref appTerm 306 def betaConv nil 54 ref 305 ref appTerm 307 def axiom nil 67 ref 307 remove nil cons cons 68 ref 306 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 2 ref cons 308 def nil cons 309 def 144 ref 305 remove nil cons cons 41 ref 45 ref nil cons 310 def cons nil cons 311 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 304 remove nil cons cons 68 ref 303 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 302 remove nil cons cons 41 ref 297 ref nil cons 312 def cons 313 def nil cons 314 def cons nil cons cons 161 ref subst eqMp eqMp 315 def subst 316 def subst absThm appThm absThm appThm sym nil "P" 24 ref var 317 def 4 ref 288 ref 11 ref 23 ref 284 ref appTerm 31 ref appTerm 318 def absTerm 319 def appTerm 320 def absTerm 321 def nil cons cons nil cons nil cons cons "A" 3 ref nil cons 322 def cons 323 def nil cons 324 def 218 ref cons 325 def 23 ref 146 remove appTerm refl 156 remove appThm 159 remove eqMp sym 326 def subst 327 def subst 4 ref nil 99 ref 320 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 319 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 318 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 293 ref cons 68 ref 294 ref cons nil cons 328 def cons nil cons cons 69 ref refl 329 def 23 ref 70 ref appTerm 330 def 72 ref appTerm 331 def assume 332 def appThm 81 ref appThm sym nil 67 ref 108 ref cons 333 def 68 ref 108 ref cons nil cons 334 def cons nil cons cons 335 def 86 ref subst 335 remove 151 ref subst 110 remove eqMp nil 112 ref 108 ref cons 115 ref cons nil cons cons 127 ref subst deductAntisym eqMp 336 def eqMp 337 def nil 67 ref 73 ref nil cons 338 def cons 339 def 68 ref 274 ref 70 ref appTerm nil cons 340 def cons nil cons 341 def cons nil cons cons 151 ref subst proveHyp 274 ref refl 332 remove appThm sym 336 remove eqMp 342 def eqMp nil 333 ref 68 ref 100 ref cons nil cons 343 def cons nil cons cons 136 ref subst nil 112 ref 338 ref cons 344 def 114 ref 340 remove cons nil cons 345 def cons nil cons cons 346 def 33 ref 119 remove 131 ref appTerm betaConv 131 remove 116 ref appTerm betaConv 121 remove appThm 130 remove 118 ref appTerm betaConv trans trans appThm 132 remove appThm 126 remove 133 remove appThm eqMp sym 105 ref eqMp 347 def subst eqMp 136 ref 346 remove 127 ref subst eqMp deductAntisym deductAntisym 348 def subst 11 ref 69 ref 284 ref appTerm 31 ref appTerm 349 def absTerm 350 def 30 ref appTerm 351 def betaConv 4 ref 288 ref 350 ref appTerm 352 def absTerm 353 def 28 ref appTerm 354 def betaConv nil 288 ref 353 ref appTerm 355 def axiom nil 67 ref 355 remove nil cons cons 68 ref 354 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 353 remove nil cons cons "x" 3 ref var 356 def 28 ref nil cons 357 def cons 358 def nil cons 359 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 352 remove nil cons cons 68 ref 351 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 350 remove nil cons cons 356 ref 30 ref nil cons 360 def cons nil cons 361 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 349 remove nil cons cons 68 ref 69 ref 31 ref appTerm 362 def 284 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 294 ref cons 363 def 68 ref 293 ref cons nil cons 364 def cons nil cons cons 365 def 86 ref subst 365 remove 151 ref subst 55 ref 41 ref 33 ref 46 ref refl 366 def 31 ref assume 367 def appThm appThm 47 ref refl 368 def appThm nil 168 ref nil cons cons 225 ref subst 369 def trans absThm appThm nil 99 ref 91 ref nil cons 370 def cons nil cons nil cons cons 371 def 99 ref 23 ref 54 ref 41 ref 102 ref absTerm 372 def appTerm appTerm 102 ref appTerm absTerm 373 def 102 ref appTerm 374 def betaConv nil 198 ref 373 ref appTerm 375 def axiom nil 67 ref 375 remove nil cons cons 68 ref 374 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 373 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 376 def subst 377 def trans sym 105 ref eqMp eqMp nil 112 ref 294 remove cons 378 def 114 ref 293 remove cons nil cons 379 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 380 def eqMp nil 67 ref 288 ref 290 ref appTerm nil cons cons 68 ref 291 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 290 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 289 remove nil cons cons 68 ref 286 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 285 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 381 def eqMp nil 67 ref 32 ref 34 ref 39 ref 51 remove appTerm 382 def appTerm appTerm nil cons cons 68 ref 23 ref 34 ref 31 ref appTerm 383 def appTerm 382 ref appTerm 384 def nil cons 385 def cons nil cons cons nil cons cons 136 ref subst proveHyp nil 163 ref 382 remove nil cons cons 295 remove cons nil cons cons nil 174 ref 68 ref 69 ref 177 remove appTerm 23 ref 34 ref 169 ref appTerm 386 def appTerm 387 def 175 ref appTerm appTerm nil cons 388 def cons nil cons 389 def cons nil cons cons 390 def 86 ref subst 390 remove 151 ref subst 23 ref "_10442" 19 ref var 391 def 69 ref 23 ref 391 remove varTerm 392 def appTerm 176 ref appTerm appTerm 23 ref 34 ref 392 remove appTerm appTerm 175 ref appTerm appTerm absTerm 393 def 169 ref appTerm 394 def appTerm refl 395 def 393 ref 171 ref appTerm betaConv appThm 33 ref 394 remove betaConv appThm 396 def 69 ref 189 remove appTerm 23 ref 34 ref 171 ref appTerm 397 def appTerm 398 def 175 ref appTerm appTerm refl appThm trans 393 remove refl 399 def 192 ref appThm eqMp sym 329 ref 212 ref appThm 33 ref nil 398 ref 91 ref appTerm axiom 400 def appThm 401 def 175 ref refl 402 def appThm 206 ref 242 ref subst 403 def trans appThm 206 ref nil 99 ref 69 ref 102 ref appTerm 404 def 102 ref appTerm 405 def nil cons cons nil cons nil cons cons 106 ref subst 99 ref 405 remove absTerm 406 def 102 ref appTerm 407 def betaConv nil 198 ref 406 ref appTerm 408 def axiom nil 67 ref 408 remove nil cons cons 68 ref 407 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 406 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp 409 def subst 410 def trans sym 105 ref eqMp eqMp eqMp nil 227 ref 114 ref 388 ref cons nil cons 411 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 231 ref 389 remove cons nil cons cons 412 def 86 ref subst 412 remove 151 ref subst 395 remove "_10440" 19 ref var 413 def 69 ref 23 ref 413 remove varTerm 414 def appTerm 176 ref appTerm appTerm 23 ref 34 ref 414 remove appTerm appTerm 175 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 396 remove 69 ref 236 remove appTerm 23 ref 34 ref 91 ref appTerm 415 def appTerm 416 def 175 ref appTerm appTerm refl appThm trans 399 remove 238 ref appThm eqMp sym 329 ref 243 ref appThm 33 ref nil 416 ref 171 ref appTerm axiom 417 def appThm 418 def 402 ref appThm 206 ref 204 ref subst 419 def trans appThm 194 ref 409 ref subst 420 def trans sym 105 ref eqMp eqMp eqMp nil 250 ref 411 remove cons nil cons cons 127 ref subst deductAntisym eqMp 259 ref nil 250 ref 260 ref 261 ref 388 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp subst eqMp 421 def subst 40 ref 41 ref 33 ref 366 ref nil 27 ref 13 ref appTerm 422 def "Set.fromPredicate" const 423 def 18 ref 37 ref 322 ref cons opType 424 def constTerm 425 def "v" 1 ref var 426 def 39 ref 41 ref 75 ref 220 ref 426 ref varTerm appTerm 427 def 45 ref appTerm appTerm 428 def 171 ref appTerm absTerm appTerm absTerm appTerm appTerm axiom appThm 33 ref 366 ref 425 ref refl 429 def 426 ref 40 ref 41 ref 428 ref refl 430 def 41 ref 171 ref absTerm 431 def 45 ref appTerm betaConv 432 def appThm absThm appThm absThm appThm appThm appThm 432 ref appThm nil 56 ref 431 ref nil cons cons nil cons nil cons cons 433 def 41 ref 23 ref 46 ref 425 ref 426 ref 39 ref 296 ref 75 ref 427 ref 297 ref appTerm appTerm 434 def 57 ref 297 ref appTerm 435 def appTerm absTerm appTerm absTerm 436 def appTerm appTerm appTerm 58 ref appTerm absTerm 437 def 45 ref appTerm 438 def betaConv 56 ref 54 ref 437 ref appTerm 439 def absTerm 440 def 57 ref appTerm 441 def betaConv 65 ref refl 442 def 56 ref 55 ref 41 ref 33 ref nil 56 ref 436 ref nil cons cons nil cons nil cons cons 41 ref 23 ref 46 ref 425 ref 57 ref appTerm appTerm appTerm 58 ref appTerm absTerm 443 def 45 ref appTerm 444 def betaConv 56 ref 54 ref 443 ref appTerm 445 def absTerm 446 def 57 ref appTerm 447 def betaConv nil 65 ref 446 ref appTerm 448 def axiom nil 67 ref 448 remove nil cons cons 68 ref 447 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 446 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 445 remove nil cons cons 68 ref 444 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 443 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp 449 def subst 436 remove 45 ref appTerm betaConv trans 450 def appThm 58 ref refl 451 def appThm absThm appThm absThm appThm sym nil 65 ref 56 ref 54 ref "a" 1 ref var 452 def 23 ref 39 ref 41 ref 75 ref 220 ref 452 ref varTerm 453 def appTerm 454 def 45 ref appTerm 455 def appTerm 456 def 58 ref appTerm absTerm appTerm appTerm 57 ref 453 ref appTerm 457 def appTerm absTerm 458 def appTerm 459 def absTerm 460 def appTerm 461 def axiom 462 def eqMp 463 def nil 67 ref 65 ref 440 ref appTerm 464 def nil cons cons 68 ref 441 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 440 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 439 remove nil cons cons 68 ref 438 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 437 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp 465 def subst eqMp trans 466 def appThm 50 ref refl 467 def appThm nil 99 ref 50 ref nil cons 468 def cons nil cons nil cons cons 469 def 204 ref subst nil 99 ref 164 ref cons nil cons nil cons cons 470 def 210 ref subst 471 def trans trans absThm appThm trans 472 def subst 40 ref 41 ref 366 ref nil 27 ref 6 ref appTerm 473 def 425 ref 426 ref 39 ref 41 ref 428 ref 91 ref appTerm absTerm appTerm absTerm appTerm appTerm axiom appThm 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 153 ref appThm absThm appThm absThm appThm appThm appThm 153 ref appThm nil 56 ref 152 ref nil cons cons nil cons nil cons cons 474 def 465 ref subst eqMp trans 475 def absThm 476 def appThm 371 ref 99 ref 23 ref 39 ref 372 remove appTerm appTerm 102 ref appTerm absTerm 477 def 102 ref appTerm 478 def betaConv nil 198 ref 477 ref appTerm 479 def axiom nil 67 ref 479 remove nil cons cons 68 ref 478 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 477 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 480 def subst trans trans sym 105 ref eqMp nil 34 ref 473 remove 13 ref appTerm appTerm thm nil 11 ref 7 ref cons 481 def 4 ref "Set.bigIntersect" const 482 def 18 ref 0 ref 322 ref opType 483 def 322 ref cons opType 484 def constTerm 485 def 12 ref 483 ref constTerm 486 def appTerm 487 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil "s" 483 ref var 488 def 486 ref nil cons 489 def cons nil cons nil cons cons 490 def 366 ref 488 ref 27 ref 485 ref 488 ref varTerm 491 def appTerm 492 def appTerm 493 def 425 ref 426 ref 39 ref 41 ref 428 ref 288 ref "u" 3 ref var 494 def 69 ref 42 ref 18 ref 3 ref 18 ref 483 ref 20 ref cons opType 495 def nil cons 496 def cons opType constTerm 497 def 494 ref varTerm 498 def appTerm 491 ref appTerm 499 def appTerm 500 def 46 ref 498 ref appTerm 501 def appTerm 502 def absTerm appTerm 503 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 504 def 491 ref appTerm 505 def betaConv nil 53 ref 18 ref 495 ref 20 ref cons opType constTerm 506 def 504 ref appTerm 507 def axiom nil 67 ref 507 remove nil cons cons 68 ref 505 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 483 ref nil cons 508 def cons nil cons 509 def "P" 495 remove var 510 def 504 remove nil cons cons "x" 483 ref var 511 def 491 ref nil cons 512 def cons nil cons 513 def cons nil cons cons 161 ref subst eqMp eqMp appThm 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 503 ref absTerm 514 def 45 ref appTerm betaConv 515 def appThm absThm appThm absThm appThm appThm appThm 515 remove appThm nil 56 ref 514 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp trans 516 def subst 292 ref 11 ref 329 ref nil 361 ref nil cons cons 517 def 325 ref 466 ref subst subst 518 def appThm 368 ref appThm nil 99 ref 167 ref cons nil cons nil cons cons 519 def 99 ref 23 ref 69 ref 171 ref appTerm 520 def 102 ref appTerm appTerm 91 ref appTerm absTerm 521 def 102 ref appTerm 522 def betaConv nil 198 ref 521 ref appTerm 523 def axiom nil 67 ref 523 remove nil cons cons 68 ref 522 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 521 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 524 def subst 525 def trans absThm appThm 371 ref 325 ref 376 ref subst subst 526 def trans trans appThm 475 ref appThm 371 ref 242 ref subst 527 def trans absThm appThm 377 ref trans trans sym 105 ref eqMp 528 def nil 27 ref 487 remove appTerm 6 ref appTerm thm nil 15 ref 4 ref "Set.bigUnion" const 529 def 484 remove constTerm 530 def 486 ref appTerm 531 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 490 remove 366 ref 488 ref 27 ref 530 ref 491 ref appTerm 532 def appTerm 533 def 425 ref 426 ref 39 ref 41 ref 428 ref 36 ref 287 ref constTerm 534 def 494 ref 75 ref 499 ref appTerm 501 ref appTerm 535 def absTerm appTerm 536 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 537 def 491 ref appTerm 538 def betaConv nil 506 ref 537 ref appTerm 539 def axiom nil 67 ref 539 remove nil cons cons 68 ref 538 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 510 ref 537 remove nil cons cons 513 ref cons nil cons cons 161 ref subst eqMp eqMp appThm 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 536 ref absTerm 540 def 45 ref appTerm betaConv 541 def appThm absThm appThm absThm appThm appThm appThm 541 remove appThm nil 56 ref 540 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp trans 542 def subst 534 ref refl 543 def 11 ref 75 ref refl 544 def 518 remove appThm 368 ref appThm 519 ref 99 ref 23 ref 75 ref 171 ref appTerm 545 def 102 ref appTerm appTerm 171 ref appTerm absTerm 546 def 102 ref appTerm 547 def betaConv nil 198 ref 546 ref appTerm 548 def axiom nil 67 ref 548 remove nil cons cons 68 ref 547 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 546 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 549 def subst 550 def trans absThm appThm nil 99 ref 171 ref nil cons 551 def cons nil cons nil cons cons 552 def 325 ref 480 ref subst subst 553 def trans trans appThm 466 ref appThm 552 ref 204 ref subst 400 ref trans 554 def trans absThm appThm 377 ref trans trans sym 105 ref eqMp 555 def nil 27 ref 531 remove appTerm 13 ref appTerm thm nil 481 ref 4 ref 530 ref 5 ref 483 ref constTerm 556 def appTerm 557 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil 488 ref 556 remove nil cons cons nil cons nil cons cons 542 ref subst 543 ref 11 ref 544 ref 517 ref 325 ref 475 ref subst subst appThm 368 ref appThm 519 ref 99 ref 23 ref 75 ref 91 ref appTerm 558 def 102 ref appTerm appTerm 102 ref appTerm absTerm 559 def 102 ref appTerm 560 def betaConv nil 198 ref 559 ref appTerm 561 def axiom nil 67 ref 561 remove nil cons cons 68 ref 560 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 559 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 562 def subst 563 def trans absThm appThm trans appThm 475 ref appThm nil 99 ref 534 ref 11 ref 47 ref absTerm 564 def appTerm 565 def nil cons cons nil cons nil cons cons 566 def 247 ref subst trans absThm appThm trans sym nil 144 ref 41 ref 565 remove absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref 566 remove 106 ref subst 564 ref 6 ref appTerm betaConv sym 475 ref sym 105 ref eqMp eqMp 324 ref 317 ref 564 remove nil cons cons 356 ref 7 ref cons nil cons 567 def cons nil cons cons 23 ref 39 ref 145 ref appTerm 568 def appTerm 569 def refl 56 ref 198 ref 68 ref 69 ref 54 ref 41 ref 69 ref 58 ref appTerm 570 def 72 ref appTerm absTerm appTerm 571 def appTerm 72 ref appTerm absTerm appTerm absTerm 572 def 145 ref appTerm betaConv appThm nil 157 remove 39 ref appTerm 573 def 572 remove appTerm axiom 158 remove appThm eqMp 574 def sym nil 201 ref 114 ref 69 ref 54 ref 41 ref 69 ref 148 ref appTerm 575 def 118 ref appTerm 576 def absTerm 577 def appTerm 578 def appTerm 579 def 118 ref appTerm 580 def absTerm nil cons cons nil cons nil cons cons 219 ref 326 ref subst 581 def subst 114 ref nil 99 ref 580 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 578 ref nil cons 582 def cons 583 def 68 ref 118 ref nil cons 584 def cons nil cons 585 def cons nil cons cons 586 def 86 ref subst 586 ref 151 ref subst nil 67 ref 149 ref cons 585 ref cons nil cons cons 587 def 136 ref subst 588 def 577 ref 45 ref appTerm 589 def betaConv nil 583 ref 68 ref 589 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 577 remove nil cons cons 590 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp 591 def eqMp eqMp nil 112 ref 582 ref cons 592 def 114 ref 584 ref cons nil cons 593 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 594 def subst proveHyp eqMp absThm eqMp eqMp nil 27 ref 557 remove appTerm 6 ref appTerm thm 55 ref 476 remove appThm sym 377 ref sym 105 ref eqMp eqMp nil 54 ref 41 ref 46 ref 6 ref appTerm 595 def absTerm appTerm thm 292 ref 4 ref nil 11 ref 357 ref cons 596 def 4 ref 14 ref cons nil cons 597 def cons nil cons cons 598 def 11 ref 23 ref "Set.disjoint" const 599 def 26 ref constTerm 600 def 28 ref appTerm 601 def 30 ref appTerm 602 def appTerm 603 def 27 ref "Set.intersect" const 604 def 18 ref 3 ref 18 ref 3 ref 322 ref cons opType 605 def nil cons 606 def cons opType 607 def constTerm 608 def 28 ref appTerm 609 def 30 ref appTerm 610 def appTerm 611 def 13 ref appTerm 612 def appTerm absTerm 613 def 30 ref appTerm 614 def betaConv 4 ref 288 ref 613 ref appTerm 615 def absTerm 616 def 28 ref appTerm 617 def betaConv nil 288 ref 616 ref appTerm 618 def axiom nil 67 ref 618 remove nil cons cons 68 ref 617 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 616 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 615 remove nil cons cons 68 ref 614 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 613 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 619 def subst nil 15 ref 4 ref 608 ref 13 ref appTerm 28 ref appTerm 620 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 598 ref 366 ref 11 ref 611 ref 425 ref 426 ref 39 ref 41 ref 428 ref 75 ref 49 ref appTerm 621 def 47 ref appTerm 622 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 623 def 30 ref appTerm 624 def betaConv 4 ref 288 ref 623 ref appTerm 625 def absTerm 626 def 28 ref appTerm 627 def betaConv nil 288 ref 626 ref appTerm 628 def axiom nil 67 ref 628 remove nil cons cons 68 ref 627 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 626 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 625 remove nil cons cons 68 ref 624 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 623 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp appThm 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 622 ref absTerm 629 def 45 ref appTerm betaConv 630 def appThm absThm appThm absThm appThm appThm appThm 630 ref appThm nil 56 ref 629 ref nil cons cons nil cons nil cons cons 631 def 465 ref subst eqMp trans 632 def subst 544 ref 466 ref appThm 633 def 49 ref refl 634 def appThm 470 ref 549 ref subst trans trans appThm 466 ref appThm 554 ref trans absThm appThm 377 ref trans trans 635 def trans absThm appThm 526 ref trans sym 105 ref eqMp 636 def nil 288 ref 4 ref 600 ref 13 ref appTerm 28 ref appTerm absTerm appTerm thm 292 ref 4 ref 16 ref 33 ref 619 ref appThm nil 596 ref 4 ref 360 ref cons 637 def nil cons 638 def cons nil cons cons 639 def 619 ref subst appThm sym 23 ref 612 ref appTerm refl 27 ref refl 640 def 639 ref 11 ref 611 ref 608 ref 30 ref appTerm 641 def 28 ref appTerm 642 def appTerm absTerm 643 def 30 ref appTerm 644 def betaConv 4 ref 288 ref 643 ref appTerm 645 def absTerm 646 def 28 ref appTerm 647 def betaConv 292 ref 4 ref 292 ref 11 ref nil 11 ref 642 ref nil cons cons 4 ref 610 ref nil cons 648 def cons 649 def nil cons 650 def cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 632 ref appThm 651 def 639 ref 632 ref subst appThm absThm appThm trans absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 23 ref 622 ref appTerm 652 def 75 ref 47 ref appTerm 653 def 49 ref appTerm appTerm 654 def absTerm 655 def appTerm 656 def absTerm 657 def appTerm 658 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 658 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 657 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 656 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 655 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 654 remove nil cons cons nil cons nil cons cons 106 ref subst nil "t2" 19 ref var 659 def 167 ref cons 660 def "t1" 19 ref var 661 def 164 ref cons nil cons 662 def cons 663 def nil cons cons 664 def 659 ref 23 ref 75 ref 661 ref varTerm 665 def appTerm 666 def 659 ref varTerm 667 def appTerm 668 def appTerm 75 ref 667 ref appTerm 669 def 665 ref appTerm appTerm absTerm 670 def 667 ref appTerm 671 def betaConv 661 ref 198 ref 670 ref appTerm 672 def absTerm 673 def 665 ref appTerm 674 def betaConv nil 198 ref 673 ref appTerm 675 def axiom nil 67 ref 675 remove nil cons cons 68 ref 674 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 673 remove nil cons cons 166 ref 665 ref nil cons cons nil cons 676 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 672 remove nil cons cons 68 ref 671 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 670 remove nil cons cons 166 ref 667 ref nil cons cons nil cons 677 def cons nil cons cons 161 ref subst eqMp eqMp 678 def subst eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 679 def nil 67 ref 288 ref 646 ref appTerm 680 def nil cons cons 68 ref 647 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 646 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 645 remove nil cons cons 68 ref 644 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 643 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 681 def subst 682 def appThm 13 ref refl 683 def appThm appThm sym 612 remove refl eqMp eqMp 684 def subst absThm appThm sym 636 remove eqMp nil 288 ref 4 ref 601 ref 13 ref appTerm absTerm appTerm thm 292 ref 4 ref 598 ref 11 ref 23 ref "Set.subset" const 685 def 26 ref constTerm 686 def 28 ref appTerm 687 def 30 ref appTerm 688 def appTerm 689 def 54 ref 41 ref 69 ref 49 ref appTerm 690 def 47 ref appTerm 691 def absTerm 692 def appTerm 693 def appTerm absTerm 694 def 30 ref appTerm 695 def betaConv 4 ref 288 ref 694 ref appTerm 696 def absTerm 697 def 28 ref appTerm 698 def betaConv nil 288 ref 697 ref appTerm 699 def axiom nil 67 ref 699 remove nil cons cons 68 ref 698 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 697 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 696 remove nil cons cons 68 ref 695 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 694 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 700 def subst 55 ref 41 ref 329 ref 466 ref appThm 701 def 634 ref appThm 470 ref 524 ref subst trans absThm appThm 377 ref trans trans 702 def absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 686 ref 13 ref appTerm 703 def 28 ref appTerm absTerm appTerm thm 292 ref 4 ref nil 481 ref nil cons nil cons cons 704 def 700 ref subst 55 ref 41 ref 690 ref refl 705 def 475 ref appThm 470 ref 99 ref 23 ref 404 ref 91 ref appTerm appTerm 91 ref appTerm absTerm 706 def 102 ref appTerm 707 def betaConv nil 198 ref 706 ref appTerm 708 def axiom nil 67 ref 708 remove nil cons cons 68 ref 707 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 706 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 709 def subst 710 def trans absThm appThm 377 ref trans trans 711 def absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 687 ref 6 ref appTerm 712 def absTerm appTerm thm 292 ref 4 ref nil 596 ref nil cons 713 def nil cons cons 714 def 700 ref subst 55 ref 41 ref 470 ref 409 ref subst 715 def absThm appThm 377 ref trans trans 716 def absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 687 ref 28 ref appTerm 717 def absTerm appTerm thm nil 15 ref 4 ref 425 ref 431 remove appTerm 718 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 433 remove 449 ref subst 432 remove trans appThm 466 ref appThm 554 ref trans absThm appThm 377 ref trans trans sym 105 ref eqMp nil 27 ref 718 remove appTerm 13 ref appTerm thm nil 481 ref 4 ref 425 ref 152 remove appTerm 719 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 474 remove 449 ref subst 153 remove trans appThm 475 ref appThm 527 ref trans absThm appThm 377 ref trans trans sym 105 ref eqMp nil 27 ref 719 remove appTerm 6 ref appTerm thm nil "t" 0 ref "Data.Pair.*" typeOp 720 def 1 ref "B" varType 721 def nil cons 722 def cons 723 def opType 724 def nil cons 725 def opType 726 def var 727 def 5 ref 726 ref constTerm 728 def nil cons cons "s" 726 ref var 729 def "Set.cross" const 730 def 18 ref 3 ref 18 ref 0 ref 722 ref opType 731 def 726 ref nil cons 732 def cons opType 733 def nil cons 734 def cons opType 735 def constTerm 736 def 6 ref appTerm 737 def 5 ref 731 ref constTerm 738 def appTerm 739 def nil cons cons nil cons cons nil cons cons "A" 725 ref cons 740 def nil cons 741 def 218 ref cons 742 def 381 ref subst 743 def subst 33 ref 53 ref 18 ref 18 ref 724 ref 20 ref cons opType 744 def 20 ref cons opType 745 def constTerm 746 def refl 747 def "x" 724 ref var 748 def 748 ref 23 ref 42 ref 18 ref 724 ref 18 ref 726 ref 20 ref cons opType 749 def nil cons 750 def cons opType constTerm 751 def 748 ref varTerm 752 def appTerm 753 def 739 ref appTerm appTerm 753 ref 728 ref appTerm appTerm absTerm 754 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 53 ref 18 ref 18 ref 721 ref 20 ref cons opType 755 def 20 ref cons opType 756 def constTerm 757 def refl 758 def "b" 721 ref var 759 def 754 ref "Data.Pair.," const 760 def 18 ref 1 ref 18 ref 721 ref 725 ref cons opType 761 def nil cons cons opType constTerm 762 def 453 ref appTerm 763 def 759 ref varTerm 764 def appTerm 765 def appTerm betaConv absThm appThm absThm appThm appThm nil "p" 744 ref var 766 def 754 remove nil cons cons nil cons nil cons cons 766 ref 23 ref 746 ref 748 ref 766 ref varTerm 767 def 752 ref appTerm 768 def absTerm 769 def appTerm appTerm 54 ref 452 ref 757 ref 759 ref 767 ref 765 ref appTerm 770 def absTerm 771 def appTerm absTerm appTerm appTerm absTerm 772 def 767 ref appTerm 773 def betaConv nil 53 ref 18 ref 745 ref 20 ref cons opType constTerm 774 def 772 ref appTerm 775 def axiom nil 67 ref 775 remove nil cons cons 68 ref 773 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 744 ref nil cons 776 def cons nil cons 777 def "P" 745 ref var 778 def 772 remove nil cons cons "x" 744 ref var 767 ref nil cons cons nil cons 779 def cons nil cons cons 161 ref subst eqMp eqMp 780 def subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref 751 ref 765 ref appTerm 781 def refl 782 def nil "t" 731 ref var 783 def 738 ref nil cons 784 def cons 785 def 9 ref cons nil cons cons 783 ref 17 ref 18 ref 726 ref 750 remove cons opType 786 def constTerm 787 def 736 ref 28 ref appTerm 788 def 783 ref varTerm 789 def appTerm 790 def appTerm 791 def 423 ref 18 ref 744 ref 732 ref cons opType constTerm 792 def "v" 724 ref var 793 def 39 ref 41 ref 36 ref 756 ref constTerm 794 def "y" 721 ref var 795 def 75 ref 17 ref 18 ref 724 ref 776 remove cons opType constTerm 796 def 793 ref varTerm appTerm 797 def 762 ref 45 ref appTerm 798 def 795 ref varTerm 799 def appTerm 800 def appTerm 801 def appTerm 802 def 621 ref 42 ref 18 ref 721 ref 18 ref 731 ref 20 ref cons opType 803 def nil cons 804 def cons opType constTerm 805 def 799 ref appTerm 806 def 789 ref appTerm 807 def appTerm 808 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 809 def 789 ref appTerm 810 def betaConv 4 ref 53 ref 18 ref 803 ref 20 ref cons opType 811 def constTerm 812 def 809 ref appTerm 813 def absTerm 814 def 28 ref appTerm 815 def betaConv nil 288 ref 814 ref appTerm 816 def axiom nil 67 ref 816 remove nil cons cons 68 ref 815 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 814 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 813 remove nil cons cons 68 ref 810 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 731 ref nil cons 817 def cons 818 def nil cons 819 def "P" 803 ref var 820 def 809 remove nil cons cons "x" 731 ref var 821 def 789 ref nil cons 822 def cons nil cons 823 def cons nil cons cons 161 ref subst eqMp eqMp 824 def subst appThm 33 ref 782 ref 792 ref refl 825 def 793 ref 40 ref 41 ref 794 ref refl 826 def 795 ref 802 ref refl 827 def 41 ref 795 ref 75 ref 595 ref appTerm 828 def 806 ref 738 ref appTerm 829 def appTerm absTerm 830 def absTerm 831 def 45 ref appTerm betaConv 799 ref refl 832 def appThm 830 remove 799 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm appThm appThm 831 ref 453 ref appTerm betaConv 764 ref refl 833 def appThm 795 ref 75 ref 44 ref 453 ref appTerm 834 def 6 ref appTerm appTerm 829 ref appTerm absTerm 764 ref appTerm betaConv trans appThm nil "p" 18 ref 1 ref 755 ref nil cons 835 def cons opType 836 def var 837 def 831 remove nil cons cons nil cons nil cons cons 33 ref nil 766 ref 793 ref 39 ref 41 ref 794 ref 795 ref 802 ref 837 ref varTerm 838 def 45 ref appTerm 839 def 799 ref appTerm 840 def appTerm absTerm appTerm absTerm appTerm absTerm 841 def nil cons cons 748 ref 765 ref nil cons cons nil cons 842 def cons nil cons cons 742 ref 449 ref subst 843 def subst 841 ref 765 ref appTerm betaConv trans 40 ref 41 ref 826 ref 795 ref 544 ref nil "b'" 721 ref var 844 def 799 ref nil cons 845 def cons "a'" 1 ref var 846 def 310 ref cons nil cons cons nil cons cons 844 ref 23 ref 796 ref 765 ref appTerm 847 def 762 ref 846 ref varTerm 848 def appTerm 844 ref varTerm 849 def appTerm 850 def appTerm 851 def appTerm 75 ref 454 ref 848 ref appTerm appTerm 17 ref 18 ref 721 ref 835 ref cons opType 852 def constTerm 853 def 764 ref appTerm 854 def 849 ref appTerm appTerm appTerm absTerm 855 def 849 ref appTerm 856 def betaConv 846 ref 757 ref 855 ref appTerm 857 def absTerm 858 def 848 ref appTerm 859 def betaConv 759 ref 54 ref 858 ref appTerm 860 def absTerm 861 def 764 ref appTerm 862 def betaConv 452 ref 757 ref 861 ref appTerm 863 def absTerm 864 def 453 ref appTerm 865 def betaConv nil 54 ref 864 ref appTerm 866 def axiom nil 67 ref 866 remove nil cons cons 68 ref 865 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 864 remove nil cons cons 41 ref 453 ref nil cons 867 def cons nil cons 868 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 863 remove nil cons cons 68 ref 862 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 722 ref cons 869 def nil cons 870 def "P" 755 ref var 871 def 861 remove nil cons cons "x" 721 ref var 872 def 764 ref nil cons 873 def cons nil cons 874 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 860 remove nil cons cons 68 ref 859 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 858 remove nil cons cons 41 ref 848 ref nil cons 875 def cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 857 remove nil cons cons 68 ref 856 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 855 remove nil cons cons 872 ref 849 ref nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp 876 def subst 877 def appThm 840 ref refl appThm absThm appThm absThm appThm trans appThm 838 ref 453 ref appTerm 878 def 764 ref appTerm 879 def refl appThm sym nil 67 ref 39 ref 41 ref 794 ref 795 ref 75 ref 456 remove 854 ref 799 ref appTerm 880 def appTerm 881 def appTerm 840 ref appTerm 882 def absTerm 883 def appTerm 884 def absTerm 885 def appTerm 886 def nil cons 887 def cons 68 ref 879 ref nil cons 888 def cons nil cons 889 def cons nil cons cons 348 ref subst nil 144 ref 41 ref 69 ref 885 ref 45 ref appTerm 890 def appTerm 879 ref appTerm 891 def absTerm 892 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 891 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 890 ref nil cons 893 def cons 889 ref cons nil cons cons 894 def 86 ref subst 894 remove 151 ref subst 890 ref betaConv 890 remove assume eqMp nil 67 ref 884 ref nil cons cons 889 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 69 ref 883 ref 799 ref appTerm 895 def appTerm 879 ref appTerm 896 def absTerm nil cons cons nil cons nil cons cons 870 ref 218 ref cons 897 def 326 ref subst 898 def subst 795 ref nil 99 ref 896 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 895 ref nil cons 899 def cons 889 ref cons nil cons cons 900 def 86 ref subst 900 remove 151 ref subst 895 ref betaConv 895 remove assume eqMp nil 67 ref 882 remove nil cons 901 def cons 889 remove cons nil cons cons 902 def 136 ref subst proveHyp 902 ref 86 ref subst 902 remove 151 ref subst nil 112 ref 881 remove nil cons 903 def cons 114 ref 840 ref nil cons 904 def cons nil cons 905 def cons nil cons cons 906 def 127 ref subst 906 remove 347 ref subst nil 112 ref 455 ref nil cons cons 114 ref 880 ref nil cons cons nil cons cons nil cons cons 907 def 127 ref subst 907 remove 347 ref subst 838 ref refl 455 ref assume appThm 880 ref assume appThm nil 99 ref 904 ref cons nil cons nil cons cons 106 ref subst 840 ref assume eqMp 908 def trans sym 105 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 901 remove cons 114 ref 888 ref cons nil cons 909 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 899 remove cons 909 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 883 ref 872 ref varTerm 910 def appTerm appTerm 879 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 884 remove appTerm 879 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 883 remove nil cons cons 909 ref cons nil cons cons nil 583 ref 68 ref 69 ref 568 ref appTerm 911 def 118 ref appTerm nil cons 912 def cons nil cons cons nil cons cons 913 def 86 ref subst 913 remove 151 ref subst nil 67 ref 568 remove nil cons 914 def cons 915 def 585 ref cons nil cons cons 916 def 86 ref subst 916 remove 151 ref subst 586 remove 136 ref subst 68 ref 69 ref 54 ref 41 ref 575 remove 72 ref appTerm absTerm appTerm appTerm 72 ref appTerm absTerm 917 def 118 ref appTerm 918 def betaConv nil 915 remove 68 ref 198 ref 917 ref appTerm 919 def nil cons 920 def cons nil cons cons nil cons cons 921 def 136 ref subst 574 remove nil 67 ref 569 remove 919 ref appTerm nil cons cons 68 ref 911 remove 919 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 921 remove nil 67 ref 331 ref nil cons 922 def cons 923 def 68 ref 338 ref cons nil cons 924 def cons nil cons cons 925 def 86 ref subst 925 remove 151 ref subst 337 remove eqMp nil 112 ref 922 remove cons 926 def 114 ref 338 remove cons nil cons 927 def cons nil cons cons 127 ref subst deductAntisym eqMp 928 def subst eqMp eqMp nil 67 ref 920 remove cons 68 ref 918 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 917 remove nil cons cons 166 ref 584 ref cons nil cons cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 112 ref 914 remove cons 593 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 592 ref 114 ref 912 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp 929 def subst eqMp eqMp eqMp nil 112 ref 893 remove cons 909 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 892 remove appTerm nil cons cons 68 ref 69 ref 886 ref appTerm 879 ref appTerm nil cons 930 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 885 ref nil cons cons 931 def 909 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 930 remove cons 68 ref 69 ref 879 ref appTerm 886 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 888 ref cons 68 ref 887 ref cons nil cons cons nil cons cons 932 def 86 ref subst 932 remove 151 ref subst 885 remove 453 ref appTerm betaConv sym 795 ref 75 ref 75 ref 454 remove 453 ref appTerm 933 def appTerm 934 def 880 remove appTerm appTerm 878 remove 799 ref appTerm appTerm absTerm 935 def 764 ref appTerm betaConv sym 544 ref 544 ref nil 868 ref nil cons cons 936 def 224 ref subst 937 def appThm 938 def nil 874 ref nil cons cons 939 def 897 ref 224 ref subst 940 def subst appThm 371 ref 562 ref subst 941 def trans appThm nil 99 ref 888 ref cons nil cons nil cons cons 106 ref subst 879 ref assume eqMp appThm 941 ref trans sym 105 ref eqMp eqMp 870 ref 871 ref 935 remove nil cons cons 874 ref cons nil cons cons 594 ref subst proveHyp eqMp 309 ref 931 remove 868 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 888 remove cons 114 ref 887 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 942 def subst eqMp trans appThm 781 ref 728 ref appTerm refl appThm absThm appThm absThm appThm trans sym 55 ref 452 ref 758 ref 759 ref 33 ref 544 ref 936 ref 475 ref subst appThm 943 def 939 ref 897 ref 475 ref subst 944 def subst 945 def appThm 941 ref trans appThm nil 842 ref nil cons cons 946 def 742 ref 475 ref subst subst appThm 527 ref trans absThm appThm 371 ref 897 ref 376 ref subst subst 947 def trans absThm appThm 377 ref trans sym 105 ref eqMp eqMp nil 787 ref 739 remove appTerm 728 remove appTerm thm 55 ref 41 ref 35 ref 466 ref appThm 948 def absThm appThm sym nil 99 ref 397 ref nil cons cons nil cons nil cons cons 949 def 376 ref subst 400 ref trans sym 105 ref eqMp eqMp nil 54 ref 41 ref 34 ref 46 ref 13 ref appTerm 950 def appTerm 951 def absTerm appTerm thm 292 ref 4 ref 35 ref nil 596 ref 9 ref cons nil cons cons 952 def 11 ref 23 ref "Set.properSubset" const 26 remove constTerm 953 def 28 ref appTerm 954 def 30 ref appTerm 955 def appTerm 956 def 75 ref 688 ref appTerm 957 def 34 ref 686 ref 30 ref appTerm 958 def 28 ref appTerm 959 def appTerm 960 def appTerm 961 def appTerm absTerm 962 def 30 ref appTerm 963 def betaConv 4 ref 288 ref 962 ref appTerm 964 def absTerm 965 def 28 ref appTerm 966 def betaConv 292 ref 4 ref 292 ref 11 ref 33 ref 11 ref 956 ref 957 ref 383 ref appTerm 967 def appTerm absTerm 968 def 30 ref appTerm 969 def betaConv 4 ref 288 ref 968 ref appTerm 970 def absTerm 971 def 28 ref appTerm 972 def betaConv nil 288 ref 971 ref appTerm 973 def axiom nil 67 ref 973 remove nil cons cons 68 ref 972 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 971 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 970 remove nil cons cons 68 ref 969 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 968 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 974 def 957 ref refl 975 def 35 ref 11 ref 32 remove 957 ref 959 ref appTerm 976 def appTerm 977 def absTerm 978 def 30 ref appTerm 979 def betaConv 4 ref 288 ref 978 ref appTerm 980 def absTerm 981 def 28 ref appTerm 982 def betaConv 292 ref 4 ref 292 ref 11 ref 977 remove assume sym 23 ref 976 ref appTerm 31 ref appTerm 983 def assume sym deductAntisym absThm appThm absThm appThm nil 317 ref 4 ref 288 ref 11 ref 983 ref absTerm 984 def appTerm 985 def absTerm 986 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 985 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 984 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 983 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 976 ref nil cons 987 def cons 328 remove cons nil cons cons 348 ref subst 11 ref 69 ref 976 ref appTerm 31 ref appTerm 988 def absTerm 989 def 30 ref appTerm 990 def betaConv 4 ref 288 ref 989 ref appTerm 991 def absTerm 992 def 28 ref appTerm 993 def betaConv 292 ref 4 ref 292 ref 11 ref 329 ref 544 ref 700 ref appThm 994 def 639 ref 700 ref subst 995 def appThm appThm 381 ref appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 69 ref 75 ref 693 ref appTerm 996 def 54 ref 41 ref 69 ref 47 ref appTerm 997 def 49 ref appTerm 998 def absTerm 999 def appTerm 1000 def appTerm 1001 def appTerm 284 ref appTerm 1002 def absTerm 1003 def appTerm 1004 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 1004 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 1003 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 1002 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 1001 remove nil cons 1005 def cons 364 ref cons nil cons cons 1006 def 86 ref subst 1006 remove 151 ref subst nil 112 ref 693 ref nil cons 1007 def cons 1008 def 114 ref 1000 ref nil cons 1009 def cons nil cons 1010 def cons nil cons cons 1011 def 127 ref subst 1011 remove 347 ref subst nil 144 ref 283 remove nil cons cons nil cons nil cons cons 326 ref subst 1012 def 41 ref nil 99 ref 282 ref nil cons 1013 def cons nil cons nil cons cons 106 ref subst 1014 def nil 67 ref 164 ref cons 1015 def 68 ref 167 ref cons 1016 def nil cons 1017 def cons nil cons cons 1018 def 348 ref subst 692 ref 45 ref appTerm 1019 def betaConv nil 67 ref 1007 ref cons 1020 def 68 ref 1019 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 692 remove nil cons cons 1021 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp 1022 def nil 67 ref 691 ref nil cons 1023 def cons 68 ref 998 remove nil cons 1024 def cons nil cons cons nil cons cons 151 ref subst proveHyp 999 ref 45 ref appTerm 1025 def betaConv 1026 def nil 67 ref 1009 ref cons 1027 def 68 ref 1025 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 999 remove nil cons 1028 def cons 1029 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp 1030 def eqMp eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 1005 remove cons 379 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 1031 def nil 67 ref 288 ref 992 ref appTerm 1032 def nil cons cons 68 ref 993 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 992 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 991 remove nil cons cons 68 ref 990 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 989 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 1033 def nil 67 ref 988 remove nil cons cons 68 ref 362 remove 976 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 363 remove 68 ref 987 ref cons nil cons cons nil cons cons 1034 def 86 ref subst 1034 remove 151 ref subst 544 ref 686 ref refl 1035 def 367 ref appThm 30 ref refl 1036 def appThm nil 638 ref nil cons cons 1037 def 716 ref subst 1038 def trans appThm 958 ref refl 1039 def 367 remove appThm 1038 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp nil 378 remove 114 ref 987 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 1040 def eqMp nil 67 ref 288 ref 981 ref appTerm nil cons cons 68 ref 982 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 981 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 980 remove nil cons cons 68 ref 979 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 978 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 1041 def appThm appThm trans appThm 961 ref refl appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 23 ref 957 ref 34 ref 976 remove appTerm 1042 def appTerm 1043 def appTerm 961 ref appTerm 1044 def absTerm 1045 def appTerm 1046 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 1046 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 1045 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 1044 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 1043 ref nil cons 1047 def cons 68 ref 961 ref nil cons 1048 def cons nil cons cons nil cons cons 1049 def 348 ref subst 1049 ref 86 ref subst 1049 remove 151 ref subst nil 112 ref 688 ref nil cons 1050 def cons 1051 def 114 ref 1042 remove nil cons 1052 def cons nil cons cons nil cons cons 1053 def 127 ref subst 1053 remove 347 ref subst nil 67 ref 1052 ref cons 1054 def 68 ref 1050 ref cons nil cons 1055 def cons nil cons cons 136 ref subst 329 ref 35 ref 544 ref nil 99 ref 1050 ref cons nil cons nil cons cons 1056 def 106 ref subst 688 ref assume eqMp 1057 def appThm 1058 def 959 ref refl appThm nil 99 ref 959 ref nil cons 1059 def cons nil cons nil cons cons 1060 def 562 ref subst trans appThm appThm 1057 ref appThm nil 99 ref 960 remove nil cons 1061 def cons nil cons nil cons cons 1062 def 709 ref subst trans sym 105 ref eqMp eqMp nil 67 ref 1050 ref cons 1063 def 68 ref 1061 ref cons nil cons cons nil cons cons 151 ref subst proveHyp nil 112 ref 1059 ref cons 1064 def nil cons nil cons cons 1065 def 23 ref 34 ref 116 ref appTerm 1066 def appTerm refl 67 ref 71 ref 171 ref appTerm absTerm 1067 def 116 ref appTerm betaConv appThm nil 95 remove 34 ref appTerm 1067 ref appTerm axiom 1068 def 125 remove appThm eqMp 1069 def sym 1070 def subst nil 67 ref 1059 ref cons 1071 def 68 ref 551 ref cons nil cons 1072 def cons nil cons cons 1073 def 86 ref subst 1073 remove 151 ref subst nil 1054 remove 1072 ref cons nil cons cons 136 ref subst nil 99 ref 1052 remove cons nil cons nil cons cons 99 ref 23 ref 404 remove 171 ref appTerm appTerm 195 ref appTerm absTerm 1074 def 102 ref appTerm 1075 def betaConv nil 198 ref 1074 ref appTerm 1076 def axiom nil 67 ref 1076 remove nil cons cons 68 ref 1075 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1074 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 1077 def subst nil 99 ref 987 remove cons nil cons nil cons cons 210 ref subst trans 1058 ref 1060 ref 106 ref subst 959 ref assume eqMp 1078 def appThm 941 ref trans trans sym 105 ref eqMp eqMp eqMp nil 1064 ref 114 ref 551 ref cons nil cons 1079 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 1047 ref cons 114 ref 1048 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 1043 ref appTerm 961 ref appTerm nil cons cons 68 ref 69 ref 961 ref appTerm 1043 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 1048 ref cons 68 ref 1047 ref cons nil cons cons nil cons cons 1080 def 86 ref subst 1080 remove 151 ref subst nil 1051 ref 114 ref 1061 ref cons nil cons cons nil cons cons 1081 def 127 ref subst 1082 def 1081 remove 347 ref subst 1083 def 1058 ref 35 ref 1058 ref nil 67 ref 1061 remove cons 1084 def 68 ref 23 ref 959 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst 1065 remove nil 67 ref 1066 ref nil cons 1085 def cons 68 ref 23 ref 116 ref appTerm 171 ref appTerm nil cons 1086 def cons nil cons cons nil cons cons 1087 def 86 ref subst 1087 remove 151 ref subst nil 67 ref 116 ref nil cons 1088 def cons 1089 def 1072 ref cons nil cons cons 348 ref subst 1069 remove 1066 remove assume eqMp nil 67 ref 266 ref 171 ref appTerm nil cons cons 68 ref 520 ref 116 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 551 ref cons 68 ref 1088 ref cons nil cons cons nil cons cons 1090 def 86 ref subst 1090 remove 151 ref subst 67 ref 70 ref absTerm 1091 def 116 remove appTerm 1092 def betaConv nil 188 ref 198 ref 1091 ref appTerm 1093 def appTerm axiom 171 ref assume eqMp nil 67 ref 1093 remove nil cons cons 68 ref 1092 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1091 remove nil cons cons 166 ref 1088 ref cons nil cons cons nil cons cons 161 ref subst eqMp eqMp 1094 def eqMp nil 112 ref 551 ref cons 114 ref 1088 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 1085 remove cons 114 ref 1086 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp 1095 def subst eqMp appThm 552 ref 562 ref subst 1096 def trans appThm 400 ref trans appThm 941 ref trans sym 105 ref eqMp proveHyp proveHyp eqMp nil 112 ref 1048 remove cons 1097 def 114 ref 1047 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 1098 def nil 67 ref 288 ref 965 ref appTerm 1099 def nil cons cons 68 ref 966 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 965 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 964 remove nil cons cons 68 ref 963 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 962 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 1100 def subst 75 ref 686 ref 6 ref appTerm 28 ref appTerm 1101 def appTerm refl 35 ref 711 ref appThm 417 ref trans appThm nil 99 ref 1101 ref nil cons cons nil cons nil cons cons 99 ref 23 ref 75 ref 102 ref appTerm 1102 def 171 ref appTerm appTerm 171 ref appTerm absTerm 1103 def 102 ref appTerm 1104 def betaConv nil 198 ref 1103 ref appTerm 1105 def axiom nil 67 ref 1105 remove nil cons cons 68 ref 1104 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1103 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 1106 def subst trans trans appThm 400 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 34 ref 953 ref 6 ref appTerm 28 ref appTerm appTerm absTerm appTerm thm 292 ref 4 ref 35 ref 16 ref 1100 ref subst 75 ref 687 ref 13 ref appTerm 1107 def appTerm refl 35 ref 702 ref appThm 417 ref trans appThm nil 99 ref 1107 ref nil cons cons nil cons nil cons cons 1106 ref subst trans trans appThm 400 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 34 ref 954 ref 13 ref appTerm appTerm absTerm appTerm thm 292 ref 4 ref 35 ref 714 ref 974 ref subst 75 ref 717 ref appTerm refl 35 ref nil 359 ref nil cons cons 325 ref 224 ref subst 1108 def subst 1109 def appThm 417 ref trans appThm nil 99 ref 717 remove nil cons cons nil cons nil cons cons 1106 ref subst trans trans appThm 400 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 34 ref 954 ref 28 ref appTerm appTerm absTerm appTerm thm 55 ref 41 ref 640 ref nil 597 ref nil cons cons 1110 def 4 ref 27 ref "Set.delete" const 1111 def 18 ref 3 ref 18 ref 1 ref 322 ref cons opType 1112 def nil cons cons opType constTerm 1113 def 28 ref appTerm 1114 def 45 ref appTerm 1115 def appTerm 1116 def "Set.difference" const 1117 def 607 ref constTerm 1118 def 28 ref appTerm 1119 def "Set.insert" const 1120 def 18 ref 1 ref 606 ref cons opType constTerm 1121 def 45 ref appTerm 1122 def 13 ref appTerm 1123 def appTerm 1124 def appTerm 1125 def absTerm 1126 def 28 ref appTerm 1127 def betaConv 41 ref 288 ref 1126 ref appTerm 1128 def absTerm 1129 def 45 ref appTerm 1130 def betaConv 55 ref 41 ref 292 ref 4 ref 1125 remove assume sym 27 ref 1124 ref appTerm 1115 ref appTerm 1131 def assume sym deductAntisym absThm appThm absThm appThm 55 ref 41 ref 292 ref 4 ref nil 11 ref 1115 ref nil cons 1132 def cons 4 ref 1124 remove nil cons 1133 def cons nil cons cons nil cons cons 381 ref subst 55 ref "x'" 1 ref var 1134 def 33 ref nil 11 ref 1123 ref nil cons 1135 def cons 1136 def 41 ref 1134 ref varTerm 1137 def nil cons 1138 def cons nil cons 1139 def cons nil cons cons 366 ref 11 ref 27 ref 1119 ref 30 ref appTerm 1140 def appTerm 1141 def 425 ref 426 ref 39 ref 41 ref 428 ref 621 ref 34 ref 47 ref appTerm 1142 def appTerm 1143 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 1144 def 30 ref appTerm 1145 def betaConv 4 ref 288 ref 1144 ref appTerm 1146 def absTerm 1147 def 28 ref appTerm 1148 def betaConv nil 288 ref 1147 ref appTerm 1149 def axiom nil 67 ref 1149 remove nil cons cons 68 ref 1148 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1147 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1146 remove nil cons cons 68 ref 1145 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1144 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp appThm 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 1143 ref absTerm 1150 def 45 ref appTerm betaConv 1151 def appThm absThm appThm absThm appThm appThm appThm 1151 remove appThm nil 56 ref 1150 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp trans 1152 def subst 75 ref 44 ref 1137 ref appTerm 1153 def 28 ref appTerm 1154 def appTerm 1155 def refl 1156 def 35 ref nil 296 ref 310 ref cons 1157 def 1139 ref cons 1158 def nil cons cons 1159 def 1110 ref 366 ref nil 314 ref nil cons cons 1160 def 4 ref 27 ref 1122 ref 28 ref appTerm 1161 def appTerm 1162 def 425 ref 426 ref 39 ref 296 ref 434 ref 251 ref 301 ref appTerm 44 ref 297 ref appTerm 1163 def 28 ref appTerm 1164 def appTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 1165 def 28 ref appTerm 1166 def betaConv 41 ref 288 ref 1165 ref appTerm 1167 def absTerm 1168 def 45 ref appTerm 1169 def betaConv nil 54 ref 1168 ref appTerm 1170 def axiom nil 67 ref 1170 remove nil cons cons 68 ref 1169 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 1168 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1167 remove nil cons cons 68 ref 1166 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1165 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp subst appThm 33 ref 366 ref 429 ref 426 ref 40 ref "y'" 1 ref var 1171 def 75 ref 427 ref 1171 ref varTerm 1172 def appTerm appTerm refl 1173 def 1171 ref 251 ref 220 ref 1172 ref appTerm 1174 def 297 ref appTerm 1175 def appTerm 44 ref 1172 ref appTerm 28 ref appTerm 1176 def appTerm absTerm 1177 def 1172 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 1177 ref 45 ref appTerm betaConv appThm nil 56 ref 1177 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp trans 1178 def subst 251 ref 298 ref appTerm 1179 def refl 466 ref appThm nil 99 ref 298 ref nil cons 1180 def cons nil cons nil cons cons 1181 def 99 ref 23 ref 251 ref 102 ref appTerm 1182 def 171 ref appTerm appTerm 102 ref appTerm absTerm 1183 def 102 ref appTerm 1184 def betaConv nil 198 ref 1183 ref appTerm 1185 def axiom nil 67 ref 1185 remove nil cons cons 68 ref 1184 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1183 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 1186 def subst trans trans 1187 def subst 1188 def appThm appThm trans appThm 1159 ref 366 ref 1160 ref 41 ref 1116 ref 425 ref 426 ref 39 ref 296 ref 434 remove 75 ref 1164 ref appTerm 1189 def 34 ref 301 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm absTerm 1190 def 45 ref appTerm 1191 def betaConv 4 ref 54 ref 1190 ref appTerm 1192 def absTerm 1193 def 28 ref appTerm 1194 def betaConv nil 288 ref 1193 ref appTerm 1195 def axiom nil 67 ref 1195 remove nil cons cons 68 ref 1194 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1193 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1192 remove nil cons cons 68 ref 1191 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 1190 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp subst appThm 33 ref 366 ref 429 ref 426 ref 40 ref 1171 ref 1173 remove 1171 ref 75 ref 1176 remove appTerm 34 ref 1175 ref appTerm appTerm absTerm 1196 def 1172 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 1196 ref 45 ref appTerm betaConv appThm nil 56 ref 1196 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp trans 1197 def subst 1198 def appThm nil 166 ref 1155 ref 34 ref 220 ref 1137 ref appTerm 1199 def 45 ref appTerm 1200 def appTerm 1201 def appTerm 1202 def nil cons 1203 def cons nil cons nil cons cons 225 ref subst trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans absThm appThm 377 ref trans sym 105 ref eqMp 1204 def eqMp nil 67 ref 54 ref 1129 ref appTerm nil cons cons 68 ref 1130 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 1129 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1128 remove nil cons cons 68 ref 1127 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1126 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 1205 def subst nil 4 ref 1135 ref cons 1206 def nil cons 1207 def nil cons cons 1208 def 4 ref 27 ref 1118 ref 13 ref appTerm 28 ref appTerm 1209 def appTerm 13 ref appTerm absTerm 1210 def 28 ref appTerm 1211 def betaConv 292 ref 4 ref nil 15 ref 4 ref 1209 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 598 ref 1152 ref subst 633 ref 467 ref appThm 469 ref 549 ref subst trans trans appThm 466 ref appThm 554 ref trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp 1212 def nil 67 ref 288 ref 1210 ref appTerm 1213 def nil cons cons 68 ref 1211 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1210 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp subst trans appThm 683 ref appThm nil 356 ref 14 ref cons nil cons 1214 def nil cons cons 1108 ref subst 1215 def trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 41 ref 27 ref 1113 ref 13 ref appTerm 45 ref appTerm appTerm 13 ref appTerm absTerm appTerm thm 55 ref 41 ref 640 ref 10 remove 4 ref 1162 ref "Set.union" const 1216 def 607 ref constTerm 1217 def 1123 ref appTerm 1218 def 28 ref appTerm 1219 def appTerm 1220 def absTerm 1221 def 28 ref appTerm 1222 def betaConv 41 ref 288 ref 1221 ref appTerm 1223 def absTerm 1224 def 45 ref appTerm 1225 def betaConv 55 ref 41 ref 292 ref 4 ref 1220 remove assume sym 27 ref 1219 ref appTerm 1161 ref appTerm 1226 def assume sym deductAntisym absThm appThm absThm appThm 55 ref 41 ref 292 ref 4 ref 640 ref 598 ref 11 ref 27 ref 1217 ref 1161 ref appTerm 30 ref appTerm 1227 def appTerm 1228 def 1122 ref 1217 ref 28 ref appTerm 1229 def 30 ref appTerm 1230 def appTerm 1231 def appTerm 1232 def absTerm 1233 def 30 ref appTerm 1234 def betaConv 4 ref 288 ref 1233 ref appTerm 1235 def absTerm 1236 def 28 ref appTerm 1237 def betaConv 41 ref 288 ref 1236 ref appTerm 1238 def absTerm 1239 def 45 ref appTerm 1240 def betaConv 55 ref 41 ref 292 ref 4 ref 292 ref 11 ref nil 11 ref 1231 ref nil cons 1241 def cons 4 ref 1227 remove nil cons cons nil cons 1242 def cons nil cons cons 381 ref subst 1243 def 55 ref 1134 ref 33 ref nil 4 ref 1161 ref nil cons 1244 def cons 1245 def 1139 ref cons nil cons cons 1246 def 366 ref 11 ref 27 ref 1230 ref appTerm 1247 def 425 ref 426 ref 39 ref 41 ref 428 ref 251 ref 49 ref appTerm 1248 def 47 ref appTerm 1249 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 1250 def 30 ref appTerm 1251 def betaConv 4 ref 288 ref 1250 ref appTerm 1252 def absTerm 1253 def 28 ref appTerm 1254 def betaConv nil 288 ref 1253 ref appTerm 1255 def axiom nil 67 ref 1255 remove nil cons cons 68 ref 1254 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1253 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1252 remove nil cons cons 68 ref 1251 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1250 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp appThm 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 1249 ref absTerm 1256 def 45 ref appTerm betaConv 1257 def appThm absThm appThm absThm appThm appThm appThm 1257 remove appThm nil 56 ref 1256 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp trans 1258 def subst 251 ref refl 1259 def 1159 remove 1178 ref subst 1260 def appThm 1153 ref 30 ref appTerm 1261 def refl 1262 def appThm trans appThm 1263 def nil 4 ref 1230 ref nil cons 1264 def cons 1265 def 1158 ref cons nil cons cons 1178 ref subst 1266 def 251 ref 1200 ref appTerm 1267 def refl 1268 def nil 1139 ref nil cons cons 1269 def 1258 ref subst 1270 def appThm 1271 def nil "t3" 19 ref var 1272 def 1261 ref nil cons 1273 def cons 659 ref 1154 ref nil cons 1274 def cons 661 ref 1200 ref nil cons 1275 def cons nil cons 1276 def cons cons nil cons cons 1272 ref 23 ref 251 ref 665 ref appTerm 1277 def 251 ref 667 ref appTerm 1278 def 1272 ref varTerm 1279 def appTerm appTerm 1280 def appTerm 251 ref 1277 remove 667 ref appTerm 1281 def appTerm 1279 ref appTerm 1282 def appTerm 1283 def absTerm 1284 def 1279 ref appTerm 1285 def betaConv 659 ref 198 ref 1284 ref appTerm 1286 def absTerm 1287 def 667 ref appTerm 1288 def betaConv 661 ref 198 ref 1287 ref appTerm 1289 def absTerm 1290 def 665 ref appTerm 1291 def betaConv 198 ref refl 1292 def 661 ref 1292 ref 659 ref 1292 ref 1272 ref 1283 remove assume sym 23 ref 1282 remove appTerm 1280 remove appTerm 1293 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 198 ref 661 ref 198 ref 659 ref 198 ref 1272 ref 1293 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 67 ref 198 ref 1290 ref appTerm nil cons cons 68 ref 1291 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1290 remove nil cons cons 676 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1289 remove nil cons cons 68 ref 1288 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1287 remove nil cons cons 677 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1286 remove nil cons cons 68 ref 1285 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1284 remove nil cons cons 166 ref 1279 ref nil cons cons nil cons 1294 def cons nil cons cons 161 ref subst eqMp eqMp 1295 def subst trans trans appThm nil 166 ref 251 ref 1267 ref 1154 ref appTerm 1296 def appTerm 1261 ref appTerm 1297 def nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans absThm appThm 526 ref trans absThm appThm 377 ref trans sym 105 ref eqMp 1298 def nil 67 ref 54 ref 1239 ref appTerm 1299 def nil cons cons 68 ref 1240 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 1239 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1238 remove nil cons cons 68 ref 1237 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1236 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1235 remove nil cons cons 68 ref 1234 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1233 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp subst 1122 ref refl 4 ref 27 ref 1217 ref 13 ref appTerm 1300 def 28 ref appTerm 1301 def appTerm 28 ref appTerm absTerm 1302 def 28 ref appTerm 1303 def betaConv 292 ref 4 ref nil 596 ref 4 ref 1301 ref nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 598 remove 1258 ref subst 1259 ref 466 ref appThm 634 ref appThm 470 ref 99 ref 23 ref 251 ref 171 ref appTerm 1304 def 102 ref appTerm appTerm 102 ref appTerm absTerm 1305 def 102 ref appTerm 1306 def betaConv nil 198 ref 1305 ref appTerm 1307 def axiom nil 67 ref 1307 remove nil cons cons 68 ref 1306 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1305 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 1308 def subst 1309 def trans trans appThm 634 ref appThm nil 166 ref 164 ref cons nil cons 1310 def nil cons cons 225 ref subst 1311 def trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp 1312 def nil 67 ref 288 ref 1302 ref appTerm 1313 def nil cons cons 68 ref 1303 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1302 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 1314 def appThm trans appThm 1161 ref refl appThm nil 356 ref 1244 ref cons nil cons nil cons cons 1108 ref subst trans absThm appThm 526 ref trans absThm appThm 377 ref trans sym 105 ref eqMp 1315 def eqMp nil 67 ref 54 ref 1224 ref appTerm nil cons cons 68 ref 1225 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 1224 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1223 remove nil cons cons 68 ref 1222 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1221 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 1316 def subst appThm 6 ref refl 1317 def appThm absThm appThm sym 55 ref 41 ref 640 ref 1208 ref 4 ref 27 ref 1229 ref 6 ref appTerm appTerm 6 ref appTerm absTerm 1318 def 28 ref appTerm 1319 def betaConv 292 ref 4 ref 640 ref 704 ref 11 ref 1247 ref 1217 ref 30 ref appTerm 1320 def 28 ref appTerm 1321 def appTerm absTerm 1322 def 30 ref appTerm 1323 def betaConv 4 ref 288 ref 1322 ref appTerm 1324 def absTerm 1325 def 28 ref appTerm 1326 def betaConv 292 ref 4 ref 292 ref 11 ref nil 11 ref 1321 ref nil cons cons 1265 ref nil cons 1327 def cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 1258 ref appThm 1328 def 639 ref 1258 ref subst appThm absThm appThm trans absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 23 ref 1249 ref appTerm 1329 def 251 ref 47 ref appTerm 1330 def 49 ref appTerm appTerm 1331 def absTerm 1332 def appTerm 1333 def absTerm 1334 def appTerm 1335 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 1335 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 1334 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 1333 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 1332 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 1331 remove nil cons cons nil cons nil cons cons 106 ref subst 664 ref 659 ref 23 ref 1281 ref appTerm 1278 remove 665 ref appTerm appTerm absTerm 1336 def 667 ref appTerm 1337 def betaConv 661 ref 198 ref 1336 ref appTerm 1338 def absTerm 1339 def 665 ref appTerm 1340 def betaConv nil 198 ref 1339 ref appTerm 1341 def axiom nil 67 ref 1341 remove nil cons cons 68 ref 1340 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1339 remove nil cons cons 676 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1338 remove nil cons cons 68 ref 1337 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1336 remove nil cons cons 677 ref cons nil cons cons 161 ref subst eqMp eqMp 1342 def subst eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 1343 def nil 67 ref 288 ref 1325 ref appTerm 1344 def nil cons cons 68 ref 1326 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1325 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1324 remove nil cons cons 68 ref 1323 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1322 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 1345 def subst appThm 1317 ref appThm absThm appThm sym 292 ref 4 ref nil 481 ref 4 ref 1217 ref 6 ref appTerm 28 ref appTerm 1346 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 952 ref 1258 ref subst 1259 ref 475 ref appThm 634 ref appThm 470 ref 99 ref 23 ref 251 ref 91 ref appTerm 1347 def 102 ref appTerm appTerm 91 ref appTerm absTerm 1348 def 102 ref appTerm 1349 def betaConv nil 198 ref 1348 ref appTerm 1350 def axiom nil 67 ref 1350 remove nil cons cons 68 ref 1349 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1348 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 1351 def subst 1352 def trans trans appThm 475 ref appThm 527 ref trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp 1353 def eqMp 1354 def nil 67 ref 288 ref 1318 ref appTerm 1355 def nil cons cons 68 ref 1319 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1318 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp subst appThm 1317 remove appThm nil 567 ref nil cons cons 1108 ref subst trans absThm appThm 377 ref trans sym 105 ref eqMp eqMp nil 54 ref 41 ref 27 ref 1122 ref 6 ref appTerm appTerm 6 ref appTerm absTerm appTerm thm 1212 remove nil 1213 remove thm 292 ref 4 ref nil 596 ref 4 ref 1119 ref 13 ref appTerm 1356 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 16 ref 1152 ref subst 621 ref refl 1357 def 948 remove 400 ref trans 1358 def appThm 470 ref 99 ref 23 ref 1102 ref 91 ref appTerm appTerm 102 ref appTerm absTerm 1359 def 102 ref appTerm 1360 def betaConv nil 198 ref 1359 ref appTerm 1361 def axiom nil 67 ref 1361 remove nil cons cons 68 ref 1360 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1359 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 1362 def subst 1363 def trans trans appThm 634 ref appThm 1311 ref trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 27 ref 1356 remove appTerm 28 ref appTerm absTerm appTerm thm 292 ref 4 ref nil 15 ref 4 ref 1119 ref 6 ref appTerm 1364 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 704 ref 1152 ref subst 1357 ref 35 ref 475 ref appThm 417 ref trans appThm 470 ref 1106 ref subst 1365 def trans trans appThm 466 ref appThm 554 ref trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 27 ref 1364 remove appTerm 13 ref appTerm absTerm appTerm thm 292 ref 4 ref nil 15 ref 4 ref 1119 ref 28 ref appTerm 1366 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 714 ref 1152 ref subst appThm 466 ref appThm nil 99 ref 621 ref 50 ref appTerm nil cons cons nil cons nil cons cons 217 ref subst nil 659 ref 468 ref cons 662 ref cons nil cons cons 659 ref 23 ref 34 ref 668 ref appTerm appTerm 251 ref 34 ref 665 ref appTerm 1367 def appTerm 34 ref 667 ref appTerm 1368 def appTerm appTerm absTerm 1369 def 667 ref appTerm 1370 def betaConv 661 ref 198 ref 1369 ref appTerm 1371 def absTerm 1372 def 665 ref appTerm 1373 def betaConv nil 198 ref 1372 ref appTerm 1374 def axiom nil 67 ref 1374 remove nil cons cons 68 ref 1373 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1372 remove nil cons cons 676 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1371 remove nil cons cons 68 ref 1370 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1369 remove nil cons cons 677 ref cons nil cons cons 161 ref subst eqMp eqMp 1375 def subst 251 ref 50 ref appTerm 1376 def refl 471 ref appThm trans trans trans absThm appThm trans absThm appThm sym nil 317 ref 4 ref 54 ref 41 ref 1376 ref 49 ref appTerm 1377 def absTerm 1378 def appTerm 1379 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 1379 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 1378 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 1377 remove nil cons cons nil cons nil cons cons 106 ref subst nil 659 ref 164 ref cons 1380 def 661 ref 468 ref cons nil cons cons nil cons cons 1342 ref subst sym 470 ref 99 ref 1182 ref 195 remove appTerm absTerm 1381 def 102 ref appTerm 1382 def betaConv nil 198 ref 1381 ref appTerm 1383 def axiom 1384 def nil 67 ref 1383 remove nil cons cons 1385 def 68 ref 1382 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1381 ref nil cons cons 1386 def 203 ref cons nil cons cons 161 ref subst eqMp eqMp 1387 def subst 1388 def eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 288 ref 4 ref 27 ref 1366 remove appTerm 13 ref appTerm absTerm appTerm thm 292 ref 4 ref 640 ref "Set.image" const 1389 def 18 ref 18 ref 1 ref 2 ref cons opType 1390 def 606 remove cons opType constTerm 1391 def refl nil 17 ref 18 ref 1390 ref 18 ref 1390 ref 20 ref cons opType nil cons cons opType constTerm "Function.id" const 1390 ref constTerm 1392 def appTerm 41 ref 45 ref absTerm 1393 def appTerm axiom appThm 28 ref refl 1394 def appThm 4 ref 27 ref 1391 ref 1393 ref appTerm 28 ref appTerm 1395 def appTerm 28 ref appTerm absTerm 1396 def 28 ref appTerm 1397 def betaConv 292 ref 4 ref nil 596 ref 4 ref 1395 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil "f" 1390 ref var 1393 ref nil cons cons 1157 ref nil cons 1398 def cons nil cons cons 308 ref "B" 2 ref cons 1399 def nil cons 1400 def cons 218 ref cons 1401 def "f" 18 ref 723 remove opType 1402 def var 1403 def 23 ref 806 ref 1389 ref 18 ref 1402 ref 18 ref 3 ref 817 ref cons opType 1404 def nil cons cons opType constTerm 1405 def 1403 ref varTerm 1406 def appTerm 1407 def 28 ref appTerm 1408 def appTerm 1409 def appTerm 1410 def 39 ref 41 ref 75 ref 853 ref 799 ref appTerm 1411 def 1406 ref 45 ref appTerm 1412 def appTerm 1413 def appTerm 1414 def 49 ref appTerm 1415 def absTerm 1416 def appTerm 1417 def appTerm absTerm 1418 def 1406 ref appTerm 1419 def betaConv 4 ref 53 ref 18 ref 18 ref 1402 ref 20 ref cons opType 1420 def 20 ref cons opType 1421 def constTerm 1422 def 1418 ref appTerm 1423 def absTerm 1424 def 28 ref appTerm 1425 def betaConv 795 ref 288 ref 1424 ref appTerm 1426 def absTerm 1427 def 799 ref appTerm 1428 def betaConv 758 ref 795 ref 292 ref 4 ref 1422 ref refl 1429 def 1403 ref 1410 remove refl 40 ref 41 ref nil 1380 ref 661 ref 1413 ref nil cons 1430 def cons nil cons cons nil cons cons 678 ref subst absThm appThm appThm absThm appThm absThm appThm absThm appThm sym 758 ref 795 ref 292 ref 4 ref 1429 ref 1403 ref 33 ref 806 ref refl 1431 def 4 ref 17 ref 18 ref 731 ref 804 ref cons opType 1432 def constTerm 1433 def 1408 ref appTerm 1434 def 423 ref 18 ref 755 ref 817 ref cons opType constTerm 1435 def "v" 721 ref var 1436 def 794 ref 795 ref 75 ref 853 ref 1436 ref varTerm 1437 def appTerm 1438 def 799 ref appTerm 1439 def appTerm 1440 def 39 ref 41 ref 621 ref 1413 ref appTerm 1441 def absTerm 1442 def appTerm 1443 def appTerm absTerm appTerm absTerm 1444 def appTerm appTerm absTerm 1445 def 28 ref appTerm 1446 def betaConv 1403 ref 288 ref 1445 ref appTerm 1447 def absTerm 1448 def 1406 ref appTerm 1449 def betaConv nil 1422 ref 1448 ref appTerm 1450 def axiom nil 67 ref 1450 remove nil cons cons 68 ref 1449 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 1402 ref nil cons 1451 def cons nil cons 1452 def "P" 1420 ref var 1453 def 1448 remove nil cons cons "x" 1402 ref var 1454 def 1406 ref nil cons cons nil cons 1455 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1447 remove nil cons cons 68 ref 1446 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1445 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 1456 def appThm 33 ref 1431 ref 1435 ref refl 1457 def 1436 ref 826 ref 795 ref 1440 ref refl 1458 def 795 ref 1443 ref absTerm 1459 def 799 ref appTerm betaConv 1460 def appThm absThm appThm absThm appThm appThm appThm 1460 remove appThm nil "p" 755 ref var 1461 def 1459 remove nil cons cons 872 ref 845 ref cons nil cons 1462 def cons nil cons cons 897 ref 465 ref subst 1463 def subst eqMp trans appThm 1443 ref refl appThm nil 166 ref 1443 ref nil cons 1464 def cons nil cons nil cons cons 225 ref subst trans absThm appThm 371 ref 1452 ref 218 ref cons 1465 def 376 ref subst subst 1466 def trans absThm appThm 526 ref trans absThm appThm 947 ref trans sym 105 ref eqMp eqMp 1467 def nil 67 ref 757 ref 1427 ref appTerm 1468 def nil cons cons 68 ref 1428 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 1427 remove nil cons cons 1462 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1426 remove nil cons cons 68 ref 1425 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1424 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1423 remove nil cons cons 68 ref 1419 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 1418 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp 1469 def subst subst 40 ref 1134 ref 544 ref 221 ref refl 1470 def 1393 remove 1137 ref appTerm betaConv appThm appThm 1154 ref refl 1471 def appThm absThm appThm 33 ref 40 ref 1134 ref 75 ref 221 ref 1137 ref appTerm 1472 def appTerm 1473 def refl "_10444" 1 ref var 1474 def 44 ref 1474 remove varTerm appTerm 28 ref appTerm absTerm 1475 def 1137 ref appTerm 1476 def betaConv 1477 def appThm absThm appThm appThm 1475 ref 45 ref appTerm betaConv 1478 def appThm nil 56 ref 1134 ref 1154 ref absTerm nil cons cons 452 ref 310 ref cons nil cons 1479 def cons nil cons cons 458 ref 453 ref appTerm 1480 def betaConv 460 ref 57 ref appTerm 1481 def betaConv 462 ref nil 67 ref 461 remove nil cons cons 68 ref 1481 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 460 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 459 remove nil cons cons 68 ref 1480 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 458 remove nil cons cons 868 ref cons nil cons cons 161 ref subst eqMp eqMp 1482 def subst eqMp trans trans appThm 634 ref appThm 1311 ref trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp 1483 def nil 67 ref 288 ref 1396 ref appTerm 1484 def nil cons cons 68 ref 1397 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1396 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp trans appThm 1394 ref appThm 1109 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 27 ref 1391 remove 1392 remove appTerm 28 ref appTerm appTerm 28 ref appTerm absTerm appTerm thm 292 ref 4 ref 635 remove absThm appThm 526 ref trans sym 105 ref eqMp 1485 def nil 288 ref 4 ref 27 ref 620 remove appTerm 13 ref appTerm absTerm appTerm thm 292 ref 4 ref nil 596 ref 4 ref 608 ref 6 ref appTerm 28 ref appTerm 1486 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 952 ref 632 ref subst 544 ref 475 ref appThm 1487 def 634 ref appThm 470 ref 562 ref subst 1488 def trans trans appThm 634 ref appThm 1311 ref trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp 1489 def nil 288 ref 4 ref 27 ref 1486 remove appTerm 28 ref appTerm absTerm appTerm thm 292 ref 4 ref 640 ref 16 ref 681 ref subst appThm 683 ref appThm absThm appThm sym 1485 remove eqMp nil 288 ref 4 ref 27 ref 609 ref 13 ref appTerm appTerm 13 ref appTerm absTerm appTerm thm 292 ref 4 ref 640 ref 704 ref 681 ref subst appThm 1394 ref appThm absThm appThm sym 1489 remove eqMp 1490 def nil 288 ref 4 ref 27 ref 609 ref 6 ref appTerm appTerm 28 ref appTerm absTerm 1491 def appTerm 1492 def thm 292 ref 4 ref nil 596 ref 4 ref 609 ref 28 ref appTerm 1493 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 714 ref 632 ref subst 470 ref 99 ref 23 ref 1102 remove 102 ref appTerm appTerm 102 ref appTerm absTerm 1494 def 102 ref appTerm 1495 def betaConv nil 198 ref 1494 ref appTerm 1496 def axiom nil 67 ref 1496 remove nil cons cons 68 ref 1495 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1494 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 1497 def subst trans appThm 634 ref appThm 1311 ref trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp 1498 def nil 288 ref 4 ref 27 ref 1493 remove appTerm 28 ref appTerm absTerm 1499 def appTerm 1500 def thm 1312 ref nil 1313 remove thm 1353 remove nil 288 ref 4 ref 27 ref 1346 remove appTerm 6 ref appTerm absTerm appTerm thm 292 ref 4 ref 640 ref 16 ref 1345 ref subst appThm 1394 ref appThm absThm appThm sym 1312 remove eqMp 1501 def nil 288 ref 4 ref 27 ref 1229 ref 13 ref appTerm appTerm 28 ref appTerm absTerm 1502 def appTerm 1503 def thm 1354 remove nil 1355 remove thm 292 ref 4 ref nil 596 ref 4 ref 1229 ref 28 ref appTerm 1504 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 714 ref 1258 ref subst 470 ref 99 ref 23 ref 1182 ref 102 ref appTerm appTerm 102 ref appTerm absTerm 1505 def 102 ref appTerm 1506 def betaConv nil 198 ref 1505 ref appTerm 1507 def axiom nil 67 ref 1507 remove nil cons cons 68 ref 1506 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1505 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 1508 def subst trans appThm 634 ref appThm 1311 ref trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 27 ref 1504 remove appTerm 28 ref appTerm absTerm appTerm thm 292 ref 4 ref nil 783 ref 12 ref 731 ref constTerm 1509 def nil cons 1510 def cons 1511 def nil cons nil cons cons 783 ref 23 ref 791 remove 12 ref 726 ref constTerm 1512 def appTerm appTerm 251 ref 29 ref 13 ref appTerm 1513 def appTerm 1514 def 1433 ref 789 ref appTerm 1515 def 1509 ref appTerm 1516 def appTerm appTerm absTerm 1517 def 789 ref appTerm 1518 def betaConv 4 ref 812 ref 1517 ref appTerm 1519 def absTerm 1520 def 28 ref appTerm 1521 def betaConv 292 ref 4 ref 812 ref refl 1522 def 783 ref 33 ref nil 727 ref 1512 ref nil cons cons 1523 def 729 ref 790 ref nil cons cons 1524 def nil cons 1525 def cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 790 ref appTerm 1526 def appTerm 753 ref 1512 ref appTerm appTerm absTerm 1527 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 1527 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 1527 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 795 ref 873 ref cons 1528 def 868 ref cons 1529 def nil cons cons 751 ref 800 ref appTerm 1530 def refl 1531 def 824 remove appThm 33 ref 1531 remove 825 ref 793 ref 40 ref 41 ref 826 ref 795 ref 827 ref 41 ref 795 ref 808 ref absTerm 1532 def absTerm 1533 def 45 ref appTerm betaConv 832 ref appThm 1532 remove 799 ref appTerm betaConv trans 1534 def appThm absThm appThm absThm appThm absThm appThm appThm appThm 1534 remove appThm nil 837 ref 1533 remove nil cons cons 759 ref 845 ref cons 1535 def 1479 ref cons 1536 def cons nil cons cons 942 ref subst eqMp trans 1537 def subst 1538 def appThm 946 ref 742 ref 466 ref subst 1539 def subst appThm nil 99 ref 75 ref 834 ref 28 ref appTerm 1540 def appTerm 1541 def 805 ref 764 ref appTerm 1542 def 789 ref appTerm 1543 def appTerm 1544 def nil cons 1545 def cons nil cons nil cons cons 217 ref subst trans absThm appThm absThm appThm trans appThm 1259 ref 16 ref 381 ref subst 55 ref 41 ref 281 ref refl 1546 def 466 ref appThm 470 ref 217 ref subst trans absThm appThm trans 1547 def appThm nil 1511 ref "s" 731 ref var 1548 def 822 ref cons 1549 def nil cons 1550 def cons nil cons cons 897 ref 381 ref subst 1551 def subst 758 ref 872 ref 23 ref 805 ref 910 ref appTerm 1552 def 789 ref appTerm 1553 def appTerm refl 897 ref 466 ref subst 1554 def appThm nil 99 ref 1553 ref nil cons 1555 def cons nil cons nil cons cons 1556 def 217 ref subst trans absThm appThm trans appThm appThm absThm appThm absThm appThm sym 292 ref 4 ref 1522 ref 783 ref 33 ref 55 ref 452 ref 758 ref 759 ref nil 659 ref 1543 ref nil cons 1557 def cons 661 ref 1540 ref nil cons 1558 def cons nil cons cons 1559 def nil cons cons 1375 ref subst absThm appThm 33 ref 758 ref 759 ref 251 ref 34 ref 1540 ref appTerm 1560 def appTerm 1561 def refl 1562 def 759 ref 34 ref 1543 ref appTerm absTerm 1563 def 764 ref appTerm betaConv 1564 def appThm absThm appThm appThm 1562 remove 758 ref 759 ref 1564 remove absThm appThm appThm appThm nil "q" 755 ref var 1565 def 1563 ref nil cons cons 67 ref 1560 ref nil cons 1566 def cons 1567 def nil cons cons nil cons cons 897 ref "q" 37 ref var 1568 def 23 ref 54 ref 41 ref 251 ref 70 ref appTerm 1569 def 1568 ref varTerm 1570 def 45 ref appTerm 1571 def appTerm absTerm appTerm appTerm 1569 ref 54 ref 41 ref 1571 ref absTerm 1572 def appTerm 1573 def appTerm appTerm absTerm 1574 def 1570 ref appTerm 1575 def betaConv 67 ref 65 ref 1574 ref appTerm 1576 def absTerm 1577 def 70 ref appTerm 1578 def betaConv nil 198 ref 1577 ref appTerm 1579 def axiom nil 67 ref 1579 remove nil cons cons 68 ref 1578 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1577 remove nil cons cons 166 ref 100 ref cons nil cons 1580 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1576 remove nil cons cons 68 ref 1575 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 1574 remove nil cons cons 141 ref 1570 ref nil cons cons nil cons 1581 def cons nil cons cons 161 ref subst eqMp eqMp subst subst eqMp trans absThm appThm 33 ref 55 ref 452 ref 1259 ref 452 ref 1560 ref absTerm 1582 def 453 ref appTerm betaConv appThm 757 ref 1563 remove appTerm 1583 def refl 1584 def appThm absThm appThm appThm 1259 ref 55 ref 41 ref 41 ref 50 ref absTerm 1585 def 45 ref appTerm betaConv 1586 def absThm appThm 1587 def appThm 1584 remove appThm appThm nil 56 ref 1582 ref nil cons cons 68 ref 1583 ref nil cons cons nil cons cons nil cons cons 68 ref 23 ref 54 ref 41 ref 251 ref 58 ref appTerm 1588 def 72 ref appTerm absTerm appTerm appTerm 251 ref 54 ref 59 remove appTerm 1589 def appTerm 72 ref appTerm appTerm absTerm 1590 def 72 ref appTerm 1591 def betaConv 56 ref 198 ref 1590 ref appTerm 1592 def absTerm 1593 def 57 ref appTerm 1594 def betaConv nil 65 ref 1593 ref appTerm 1595 def axiom nil 67 ref 1595 remove nil cons cons 68 ref 1594 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 1593 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1592 remove nil cons cons 68 ref 1591 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1590 remove nil cons cons 166 ref 108 remove cons nil cons 1596 def cons nil cons cons 161 ref subst eqMp eqMp subst eqMp trans appThm 251 ref 54 ref 1585 ref appTerm 1597 def appTerm 757 ref 872 ref 34 ref 1553 ref appTerm 1598 def absTerm appTerm appTerm refl appThm nil 166 ref 251 ref 54 ref 1582 remove appTerm appTerm 1583 remove appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 371 ref 819 ref 218 ref cons 1599 def 376 ref subst subst 1600 def trans absThm appThm 526 ref trans sym 105 ref eqMp eqMp 1601 def nil 67 ref 288 ref 1520 ref appTerm 1602 def nil cons cons 68 ref 1521 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1520 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1519 remove nil cons cons 68 ref 1518 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 1517 remove nil cons cons 823 ref cons nil cons cons 161 ref subst eqMp eqMp 1603 def subst 1514 ref refl 1604 def nil 821 ref 1510 ref cons nil cons 1605 def nil cons cons 1599 ref 224 ref subst 1606 def subst 1607 def appThm nil 99 ref 1513 ref nil cons 1608 def cons nil cons nil cons cons 99 ref 23 ref 1182 remove 91 ref appTerm appTerm 91 ref appTerm absTerm 1609 def 102 ref appTerm 1610 def betaConv nil 198 ref 1609 ref appTerm 1611 def axiom nil 67 ref 1611 remove nil cons cons 68 ref 1610 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1609 remove nil cons cons 203 ref cons nil cons cons 161 ref subst eqMp eqMp 1612 def subst 1613 def trans trans absThm appThm 526 ref trans sym 105 ref eqMp 1614 def nil 288 ref 4 ref 787 ref 788 ref 1509 ref appTerm appTerm 1512 ref appTerm absTerm 1615 def appTerm 1616 def thm 1522 ref 1548 ref nil 783 ref 1548 ref varTerm 1617 def nil cons 1618 def cons 1619 def 597 remove cons nil cons cons 1603 ref subst 1259 ref 1215 ref appThm 1620 def 1433 ref 1617 ref appTerm 1621 def 1509 ref appTerm 1622 def refl appThm nil 99 ref 1622 remove nil cons cons nil cons nil cons cons 1351 ref subst trans trans absThm appThm 1600 ref trans sym 105 ref eqMp 1623 def nil 812 ref 1548 ref 787 ref 736 ref 13 ref appTerm 1617 ref appTerm appTerm 1512 ref appTerm absTerm 1624 def appTerm 1625 def thm 1429 ref 1403 ref nil 1511 ref 1548 ref 1407 ref 13 ref appTerm 1626 def nil cons cons nil cons cons nil cons cons 1551 ref subst 758 ref 872 ref 33 ref 1552 ref refl 1627 def 1110 ref 1456 ref subst 1457 ref 1436 ref 826 ref 795 ref 1458 ref 40 ref 41 ref 633 ref 1413 ref refl appThm nil 99 ref 1430 ref cons nil cons nil cons cons 549 ref subst trans absThm appThm 552 ref 480 ref subst 1628 def trans appThm nil 99 ref 1439 remove nil cons cons nil cons nil cons cons 1106 ref subst trans absThm appThm 552 ref 897 ref 480 ref subst subst 1629 def trans absThm appThm trans appThm nil 1461 ref 1436 ref 171 ref absTerm 1630 def nil cons cons nil cons nil cons cons 897 ref 449 ref subst 1631 def subst 1630 remove 910 ref appTerm betaConv trans trans appThm 1554 ref appThm 554 ref trans absThm appThm 947 ref trans trans absThm appThm 1466 ref trans sym 105 ref eqMp 1632 def nil 1422 ref 1403 ref 1433 ref 1626 remove appTerm 1509 ref appTerm absTerm 1633 def appTerm 1634 def thm 1483 remove nil 1484 remove thm nil "t" 0 ref 20 ref opType 1635 def var 1120 ref 18 ref 19 ref 18 ref 1635 ref 1635 ref nil cons cons opType nil cons cons opType constTerm 1636 def 91 ref appTerm 1636 remove 171 ref appTerm 12 ref 1635 ref constTerm 1637 def appTerm 1638 def appTerm 1639 def nil cons cons "s" 1635 ref var 1640 def 5 remove 1635 ref constTerm 1641 def nil cons cons nil cons cons nil cons cons 219 ref 381 ref subst subst 1292 ref 166 ref 33 ref 219 ref 475 ref subst 1642 def appThm nil 1640 ref 1638 remove nil cons cons 163 ref 370 ref cons nil cons cons nil cons cons 219 ref 1178 ref subst 1643 def subst 1259 ref nil 99 ref 258 remove cons nil cons nil cons cons 1644 def 247 ref subst appThm nil 1640 remove 1637 remove nil cons cons 163 ref 551 ref cons nil cons cons nil cons cons 1643 remove subst 1259 ref 1644 ref 217 ref subst appThm 219 remove 466 ref subst appThm nil 99 ref 386 ref nil cons cons nil cons nil cons cons 1186 ref subst trans trans appThm trans appThm nil 99 ref 251 ref 169 ref appTerm 1645 def 386 ref appTerm nil cons cons nil cons nil cons cons 242 ref subst trans absThm appThm trans sym 1384 ref eqMp nil 17 ref 18 ref 1635 ref 18 ref 1635 remove 20 ref cons opType nil cons 1646 def cons opType constTerm 1641 ref appTerm 1639 remove appTerm thm 292 ref 4 ref 640 ref nil "u" 483 ref var 1647 def 489 remove cons 1648 def nil cons nil cons cons 1649 def 1647 ref 27 ref 485 ref 1120 ref 18 ref 3 ref 18 ref 483 ref 508 ref cons opType nil cons 1650 def cons opType constTerm 1651 def 28 ref appTerm 1652 def 1647 ref varTerm 1653 def appTerm 1654 def appTerm 1655 def appTerm 609 ref 485 ref 1653 ref appTerm 1656 def appTerm 1657 def appTerm absTerm 1658 def 1653 ref appTerm 1659 def betaConv 4 ref 506 ref 1658 ref appTerm 1660 def absTerm 1661 def 28 ref appTerm 1662 def betaConv 292 ref 4 ref 506 ref refl 1663 def 1647 ref nil 11 ref 1657 remove nil cons cons 4 ref 1655 remove nil cons cons nil cons cons nil cons cons 381 ref subst absThm appThm absThm appThm sym 292 ref 4 ref 1663 ref 1647 ref 55 ref 41 ref 33 ref nil 488 ref 1654 ref nil cons cons nil cons nil cons cons 1664 def 516 ref subst 292 ref 11 ref 329 ref nil 488 ref 1653 ref nil cons 1665 def cons 1666 def "y" 3 ref var 1667 def 357 ref cons 1668 def 361 ref cons 1669 def cons nil cons cons 325 ref 1178 ref subst 1670 def subst 1671 def appThm 368 ref appThm absThm appThm trans appThm nil 11 ref 1656 ref nil cons 1672 def cons 1673 def nil cons nil cons cons 632 ref subst 1357 ref nil 1666 remove nil cons nil cons cons 1674 def 516 ref subst 1675 def appThm trans appThm absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 506 ref 1647 ref 54 ref 41 ref 23 ref 288 ref 11 ref 69 ref 251 ref 27 ref 30 ref appTerm 1676 def 28 ref appTerm 1677 def appTerm 1678 def 497 ref 30 ref appTerm 1679 def 1653 ref appTerm 1680 def appTerm 1681 def appTerm 47 ref appTerm 1682 def absTerm 1683 def appTerm 1684 def appTerm 621 ref 288 ref 11 ref 69 ref 1680 ref appTerm 47 ref appTerm 1685 def absTerm 1686 def appTerm 1687 def appTerm 1688 def appTerm 1689 def absTerm 1690 def appTerm 1691 def absTerm 1692 def appTerm 1693 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 1693 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 1692 remove nil cons cons nil cons nil cons cons 509 ref 218 ref cons 1694 def 326 ref subst 1695 def subst 1647 ref nil 99 ref 1691 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 1690 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 1689 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 1684 ref nil cons 1696 def cons 1697 def 68 ref 1688 ref nil cons 1698 def cons nil cons cons nil cons cons 1699 def 348 ref subst 1699 ref 86 ref subst 1699 remove 151 ref subst 1259 ref 1109 ref appThm 1700 def 497 ref 28 ref appTerm 1701 def 1653 ref appTerm 1702 def refl appThm nil 99 ref 1702 ref nil cons 1703 def cons nil cons nil cons cons 1351 ref subst trans 1704 def sym 105 ref eqMp nil 67 ref 251 ref 29 ref 28 ref appTerm appTerm 1702 ref appTerm nil cons cons 68 ref 164 ref cons 1705 def nil cons 1706 def cons nil cons cons 136 ref subst proveHyp 714 ref 1683 ref 30 ref appTerm 1707 def betaConv nil 1697 remove 68 ref 1707 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 1683 remove nil cons cons 1708 def 361 ref cons nil cons cons 161 ref subst eqMp eqMp 1709 def subst eqMp nil 1015 ref 68 ref 1687 ref nil cons 1710 def cons nil cons 1711 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 1686 ref nil cons cons 1712 def nil cons nil cons cons 327 ref subst 1713 def 11 ref nil 99 ref 1685 remove nil cons 1714 def cons nil cons nil cons cons 106 ref subst nil 67 ref 1680 ref nil cons 1715 def cons 1716 def 1017 ref cons nil cons cons 1717 def 86 ref subst 1717 ref 151 ref subst 1678 remove refl 1718 def nil 99 ref 1715 ref cons nil cons nil cons cons 106 ref subst 1680 ref assume eqMp 1719 def appThm nil 99 ref 1677 ref nil cons 1720 def cons nil cons nil cons cons 1612 ref subst 1721 def trans 1722 def sym 105 ref eqMp nil 67 ref 1681 ref nil cons 1723 def cons 1017 ref cons nil cons cons 1724 def 136 ref subst proveHyp 1709 remove eqMp eqMp nil 112 ref 1715 ref cons 1725 def 114 ref 167 ref cons 1726 def nil cons 1727 def cons nil cons cons 1728 def 127 ref subst 1729 def deductAntisym eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 1696 ref cons 114 ref 1698 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 1684 ref appTerm 1688 ref appTerm nil cons cons 68 ref 69 ref 1688 remove appTerm 1684 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 1698 ref cons 68 ref 1696 ref cons nil cons cons nil cons cons 1730 def 86 ref subst 1730 remove 151 ref subst nil 112 ref 164 ref cons 1731 def 114 ref 1710 ref cons nil cons 1732 def cons nil cons cons 1733 def 127 ref subst 1733 remove 347 ref subst nil 1708 remove nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 1682 remove nil cons cons nil cons nil cons cons 106 ref subst 1724 ref 86 ref subst 1724 remove 151 ref subst 1686 ref 30 ref appTerm 1734 def betaConv nil 67 ref 1710 ref cons 1735 def 68 ref 1734 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 1712 remove 361 ref cons nil cons cons 161 ref subst eqMp eqMp 1736 def nil 67 ref 1720 ref cons 1737 def 1017 ref cons nil cons cons 1738 def 86 ref subst 1738 remove 151 ref subst 366 ref 1677 ref assume appThm 1739 def 470 ref 106 ref subst 49 ref assume 1740 def eqMp 1741 def trans sym 105 ref eqMp eqMp nil 112 ref 1720 remove cons 1742 def 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 1742 ref 114 ref 1715 remove cons 1743 def 261 ref 167 ref cons nil cons 1744 def cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 1723 remove cons 1727 ref cons nil cons cons 1745 def 127 ref subst 1746 def deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 1698 remove cons 114 ref 1696 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 1747 def nil 67 ref 288 ref 1661 ref appTerm 1748 def nil cons cons 68 ref 1662 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1661 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1660 remove nil cons cons 68 ref 1659 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 510 ref 1658 remove nil cons cons 511 ref 1665 remove cons nil cons 1749 def cons nil cons cons 161 ref subst eqMp eqMp 1750 def subst 609 ref refl 1751 def 528 ref appThm 1491 ref 28 ref appTerm 1752 def betaConv 1490 remove nil 67 ref 1492 remove nil cons cons 68 ref 1752 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1491 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 1753 def trans trans 1754 def appThm 1394 ref appThm 1109 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 27 ref 485 ref 1652 ref 486 ref appTerm 1755 def appTerm 1756 def appTerm 28 ref appTerm absTerm appTerm thm 292 ref 4 ref 640 ref 1649 remove 1647 ref 27 ref 530 ref 1654 remove appTerm 1757 def appTerm 1229 ref 530 ref 1653 ref appTerm 1758 def appTerm 1759 def appTerm absTerm 1760 def 1653 ref appTerm 1761 def betaConv 4 ref 506 ref 1760 ref appTerm 1762 def absTerm 1763 def 28 ref appTerm 1764 def betaConv 292 ref 4 ref 1663 ref 1647 ref nil 11 ref 1759 remove nil cons cons 4 ref 1757 remove nil cons cons nil cons cons nil cons cons 381 ref subst absThm appThm absThm appThm sym 292 ref 4 ref 1663 ref 1647 ref 55 ref 41 ref 33 ref 1664 remove 542 ref subst 543 ref 11 ref 544 ref 1671 remove appThm 368 ref appThm absThm appThm trans appThm nil 11 ref 1758 remove nil cons cons nil cons nil cons cons 1258 ref subst 1248 ref refl 1765 def 1674 remove 542 ref subst appThm trans appThm absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 506 ref 1647 ref 54 ref 41 ref 23 ref 534 ref 11 ref 75 ref 1681 remove appTerm 47 ref appTerm 1766 def absTerm 1767 def appTerm 1768 def appTerm 1248 ref 534 ref 11 ref 75 ref 1680 remove appTerm 1769 def 47 ref appTerm 1770 def absTerm 1771 def appTerm 1772 def appTerm 1773 def appTerm 1774 def absTerm 1775 def appTerm 1776 def absTerm 1777 def appTerm 1778 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 1778 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 1777 remove nil cons cons nil cons nil cons cons 1695 ref subst 1647 ref nil 99 ref 1776 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 1775 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 1774 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 1768 ref nil cons 1779 def cons 68 ref 1773 ref nil cons 1780 def cons nil cons 1781 def cons nil cons cons 348 ref subst nil 317 ref 11 ref 69 ref 1767 ref 30 ref appTerm 1782 def appTerm 1773 ref appTerm 1783 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 1783 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 1782 ref nil cons 1784 def cons 1781 ref cons nil cons cons 1785 def 86 ref subst 1785 remove 151 ref subst 1782 ref betaConv 1786 def 1782 remove assume eqMp nil 67 ref 1766 remove nil cons 1787 def cons 1781 ref cons nil cons cons 1788 def 136 ref subst proveHyp 1788 ref 86 ref subst 1788 remove 151 ref subst 1746 remove 1745 remove 347 ref subst nil 1716 remove 1781 ref cons nil cons cons 1789 def 86 ref subst 1789 remove 151 ref subst 1771 ref 30 ref appTerm 1790 def betaConv 1791 def sym 544 ref 1719 remove appThm 519 ref 106 ref subst 47 ref assume 1792 def eqMp 1793 def appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 1771 ref nil cons cons 1794 def 361 ref cons nil cons cons 594 ref subst proveHyp nil 1731 ref 114 ref 1772 ref nil cons cons 1795 def nil cons cons nil cons cons 1796 def 279 remove sym 1797 def nil 201 ref 99 ref 69 ref 266 remove 102 ref appTerm 1798 def appTerm 69 ref 262 remove 102 ref appTerm 1799 def appTerm 102 ref appTerm 1800 def appTerm 1801 def absTerm nil cons cons nil cons nil cons cons 581 ref subst 1802 def 99 ref nil 99 ref 1801 remove nil cons cons nil cons nil cons cons 106 ref subst 1803 def nil 67 ref 1798 ref nil cons 1804 def cons 68 ref 1800 remove nil cons 1805 def cons nil cons cons nil cons cons 1806 def 86 ref subst 1807 def 1806 remove 151 ref subst 1808 def nil 67 ref 1799 ref nil cons 1809 def cons 68 ref 202 ref cons nil cons 1810 def cons nil cons cons 1811 def 86 ref subst 1812 def 1811 remove 151 ref subst 1813 def nil 67 ref 584 remove cons 1810 ref cons nil cons cons 136 ref subst 1799 remove assume eqMp eqMp nil 112 ref 1809 remove cons 114 ref 202 remove cons nil cons cons nil cons cons 127 ref subst 1814 def deductAntisym eqMp eqMp nil 112 ref 1804 remove cons 114 ref 1805 remove cons nil cons cons nil cons cons 127 ref subst 1815 def deductAntisym eqMp eqMp absThm eqMp eqMp 1816 def subst proveHyp eqMp nil 1725 ref 114 ref 1780 ref cons nil cons 1817 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 1737 remove 1781 remove cons nil cons cons 1818 def 86 ref subst 1818 remove 151 ref subst nil 67 ref 167 ref cons 1819 def 1706 ref cons nil cons cons 1820 def 136 ref subst 329 ref 1739 remove appThm 634 ref appThm 715 ref trans sym 105 ref eqMp eqMp 1796 remove 1797 remove 1802 remove 99 ref 1803 remove 1807 remove 1808 remove 1812 remove 1813 remove nil 1089 remove 1810 remove cons nil cons cons 136 ref subst 1798 remove assume eqMp eqMp 1814 remove deductAntisym eqMp eqMp 1815 remove deductAntisym eqMp eqMp absThm eqMp eqMp 1821 def subst proveHyp eqMp nil 1742 ref 1817 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 1742 remove 1743 remove 261 ref 1780 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 1787 remove cons 1817 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 1784 remove cons 1817 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 1767 ref 356 ref varTerm 1822 def appTerm appTerm 1773 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 1768 ref appTerm 1773 ref appTerm nil cons 1823 def cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1767 ref nil cons cons 1824 def 1817 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 1823 remove cons 68 ref 69 ref 1773 remove appTerm 1768 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 1780 ref cons 68 ref 1779 ref cons nil cons 1825 def cons nil cons cons 1826 def 86 ref subst 1826 remove 151 ref subst nil 317 ref 11 ref 69 ref 1790 ref appTerm 1768 ref appTerm 1827 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 1827 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 1790 ref nil cons 1828 def cons 1825 ref cons nil cons cons 1829 def 86 ref subst 1829 remove 151 ref subst 1791 remove 1790 remove assume eqMp nil 67 ref 1770 remove nil cons 1830 def cons 1825 ref cons nil cons cons 1831 def 136 ref subst proveHyp 1831 ref 86 ref subst 1831 remove 151 ref subst 1729 remove 1728 remove 347 ref subst 1786 remove sym 544 ref 1722 remove appThm 1793 ref appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 1824 ref 361 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 1830 remove cons 114 ref 1779 ref cons nil cons 1832 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 1828 remove cons 1832 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 1771 remove 1822 ref appTerm appTerm 1768 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 1772 remove appTerm 1768 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 1794 remove 1832 ref cons nil cons cons 929 ref subst eqMp nil 1015 ref 1825 remove cons nil cons cons 1833 def 86 ref subst 1833 remove 151 ref subst 1767 remove 28 ref appTerm betaConv sym 544 ref 1704 remove appThm 1741 ref appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 1824 remove 359 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 1731 ref 1832 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 1731 ref 1795 remove 261 ref 1779 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 1780 remove cons 1832 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 1834 def nil 67 ref 288 ref 1763 ref appTerm 1835 def nil cons cons 68 ref 1764 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1763 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1762 remove nil cons cons 68 ref 1761 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 510 ref 1760 remove nil cons cons 1749 remove cons nil cons cons 161 ref subst eqMp eqMp 1836 def subst 1229 ref refl 1837 def 555 ref appThm 1502 ref 28 ref appTerm 1838 def betaConv 1501 remove nil 67 ref 1503 remove nil cons cons 68 ref 1838 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1502 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 1839 def trans trans appThm 1394 ref appThm 1109 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 27 ref 530 ref 1755 ref appTerm appTerm 28 ref appTerm absTerm appTerm thm 55 ref 41 ref 292 ref 4 ref nil 1398 ref nil cons cons 1840 def 1178 ref subst 1259 ref 224 ref appThm 1841 def 634 ref appThm 1352 ref trans 1842 def trans absThm appThm 526 ref trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 41 ref 288 ref 4 ref 46 ref 1161 ref appTerm absTerm appTerm absTerm appTerm thm nil 144 ref 41 ref 288 ref 4 ref 686 ref 1115 ref appTerm 1843 def 28 ref appTerm 1844 def absTerm 1845 def appTerm 1846 def absTerm 1847 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 1846 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 1845 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 1844 remove nil cons cons nil cons nil cons cons 106 ref subst 1035 ref 1205 ref appThm 1848 def 1394 ref appThm sym nil 1136 ref nil cons 1849 def nil cons cons 1850 def 11 ref 686 ref 1140 ref appTerm 1851 def 28 ref appTerm absTerm 1852 def 30 ref appTerm 1853 def betaConv 4 ref 288 ref 1852 ref appTerm 1854 def absTerm 1855 def 28 ref appTerm 1856 def betaConv 292 ref 4 ref 292 ref 11 ref nil 596 ref 4 ref 1140 ref nil cons 1857 def cons 1858 def nil cons 1859 def cons nil cons cons 1860 def 700 ref subst 55 ref 41 ref 329 ref 1152 ref appThm 1861 def 634 ref appThm absThm appThm trans absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 69 ref 1143 ref appTerm 1862 def 49 ref appTerm 1863 def absTerm 1864 def appTerm 1865 def absTerm 1866 def appTerm 1867 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 1867 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 1866 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 1865 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 1864 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 1863 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 1143 ref nil cons 1868 def cons 1869 def 1706 ref cons nil cons cons 1870 def 86 ref subst 1870 remove 151 ref subst nil 1731 ref 114 ref 1142 ref nil cons 1871 def cons 1872 def nil cons 1873 def cons nil cons cons 1874 def 127 ref subst 1875 def eqMp nil 112 ref 1868 ref cons 1876 def 114 ref 164 remove cons 1877 def nil cons 1878 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 1879 def nil 67 ref 288 ref 1855 ref appTerm 1880 def nil cons cons 68 ref 1856 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1855 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1854 remove nil cons cons 68 ref 1853 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1852 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp 1881 def absThm eqMp eqMp absThm eqMp nil 54 ref 1847 remove appTerm thm 292 ref 4 ref 292 ref 11 ref nil 11 ref 1118 ref 30 ref appTerm 1882 def 28 ref appTerm 1883 def nil cons 1884 def cons nil cons nil cons cons 1885 def 684 ref subst absThm appThm absThm appThm sym 292 ref 4 ref 292 ref 11 ref nil 596 ref 4 ref 1884 ref cons nil cons cons nil cons cons 1886 def 11 ref 603 ref 1141 ref 28 ref appTerm 1887 def appTerm 1888 def absTerm 1889 def 30 ref appTerm 1890 def betaConv 4 ref 288 ref 1889 ref appTerm 1891 def absTerm 1892 def 28 ref appTerm 1893 def betaConv 292 ref 4 ref 292 ref 11 ref 1888 remove assume sym 23 ref 1887 remove appTerm 602 ref appTerm 1894 def assume sym deductAntisym absThm appThm absThm appThm 292 ref 4 ref 292 ref 11 ref 33 ref 1860 remove 381 ref subst 55 ref 41 ref 33 ref 1152 ref appThm 1895 def 634 ref appThm absThm appThm trans appThm 619 ref nil 15 ref 650 ref cons nil cons cons 381 ref subst trans 55 ref 41 ref 651 ref 466 ref appThm nil 99 ref 622 ref nil cons 1896 def cons nil cons nil cons cons 217 ref subst trans absThm appThm trans 1897 def appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 23 ref 54 ref 41 ref 23 ref 1143 ref appTerm 49 ref appTerm 1898 def absTerm 1899 def appTerm 1900 def appTerm 54 ref 41 ref 34 ref 622 ref appTerm 1901 def absTerm 1902 def appTerm 1903 def appTerm 1904 def absTerm 1905 def appTerm 1906 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 1906 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 1905 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 1904 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 1900 ref nil cons 1907 def cons 1908 def 68 ref 1903 ref nil cons 1909 def cons nil cons cons nil cons cons 1910 def 348 ref subst 1910 ref 86 ref subst 1910 remove 151 ref subst nil 144 ref 1902 ref nil cons cons 1911 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 1901 remove nil cons 1912 def cons nil cons nil cons cons 106 ref subst nil 112 ref 1896 ref cons 1913 def nil cons nil cons cons 1070 ref subst nil 67 ref 1896 ref cons 1914 def 1072 ref cons nil cons cons 1915 def 86 ref subst 1915 remove 151 ref subst nil 1731 ref 1727 ref cons nil cons cons 1916 def 127 ref subst 1917 def 1916 ref 347 ref subst 1918 def 1899 ref 45 ref appTerm 1919 def betaConv nil 1908 remove 68 ref 1919 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 1899 remove nil cons cons 1920 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1898 ref nil cons 1921 def cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 99 ref 1921 ref cons nil cons nil cons cons 1922 def 1077 ref subst 35 ref 33 ref 544 ref 1741 ref appThm 1923 def 35 ref 1793 ref appThm 417 ref trans 1924 def appThm 1096 ref trans appThm 1741 ref appThm 371 ref 204 ref subst 417 ref trans trans appThm 400 ref trans trans sym 105 ref eqMp eqMp proveHyp proveHyp eqMp nil 1913 ref 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp nil 112 ref 1907 ref cons 114 ref 1909 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 1900 ref appTerm 1903 ref appTerm nil cons cons 68 ref 69 ref 1903 remove appTerm 1900 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 1909 ref cons 1925 def 68 ref 1907 ref cons nil cons cons nil cons cons 1926 def 86 ref subst 1926 remove 151 ref subst nil 1920 remove nil cons nil cons cons 326 ref subst 41 ref 1922 remove 106 ref subst 1902 remove 45 ref appTerm 1927 def betaConv nil 1925 remove 68 ref 1927 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 1911 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1912 remove cons 68 ref 1921 ref cons nil cons 1928 def cons nil cons cons 136 ref subst proveHyp 329 ref 664 ref 1375 ref subst appThm 1898 remove refl appThm sym nil 67 ref 1376 remove 1142 ref appTerm nil cons 1929 def cons 1928 ref cons nil cons cons 1930 def 86 ref subst 1930 remove 151 ref subst nil 67 ref 1871 ref cons 1931 def 1928 ref cons nil cons cons 1932 def 86 ref subst 1932 remove 151 ref subst 1357 ref 35 ref nil 1931 ref 68 ref 48 ref 171 ref appTerm 1933 def nil cons 1934 def cons nil cons cons nil cons cons 136 ref subst nil 112 ref 167 ref cons 1935 def nil cons nil cons cons 1936 def 1095 ref subst eqMp 1937 def appThm 400 ref trans 1938 def appThm 1363 ref trans eqMp nil 112 ref 1871 ref cons 1939 def 114 ref 1921 ref cons nil cons 1940 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 468 ref cons 1941 def 1928 remove cons nil cons cons 1942 def 86 ref subst 1942 remove 151 ref subst 33 ref 544 ref nil 1941 ref 68 ref 281 ref 171 ref appTerm 1943 def nil cons 1944 def cons nil cons cons nil cons cons 136 ref subst nil 1731 ref nil cons nil cons cons 1095 ref subst eqMp 1945 def appThm 1946 def 1142 ref refl 1947 def appThm nil 99 ref 1871 ref cons nil cons nil cons cons 1948 def 549 ref subst 1949 def trans appThm 1945 ref appThm 554 ref trans sym 105 ref eqMp eqMp nil 112 ref 468 ref cons 1950 def 1940 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 1950 ref 1872 ref 261 ref 1921 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 1929 remove cons 1940 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 112 ref 1909 ref cons 114 ref 1907 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 1951 def eqMp nil 67 ref 288 ref 1892 ref appTerm nil cons cons 68 ref 1893 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1892 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1891 remove nil cons cons 68 ref 1890 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1889 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp subst 640 ref 639 ref 11 ref 27 ref 1118 ref 1140 ref appTerm 1952 def 30 ref appTerm 1953 def appTerm 1140 ref appTerm absTerm 1954 def 30 ref appTerm 1955 def betaConv 4 ref 288 ref 1954 ref appTerm 1956 def absTerm 1957 def 28 ref appTerm 1958 def betaConv 292 ref 4 ref 292 ref 11 ref nil 11 ref 1857 ref cons 1959 def 4 ref 1953 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil 1859 ref nil cons cons 1960 def 1152 ref subst 544 ref 1152 ref appThm 1961 def 1947 ref appThm nil 1272 ref 1871 ref cons 659 ref 1871 ref cons 1962 def 662 ref cons 1963 def cons nil cons cons 1272 ref 23 ref 75 ref 668 remove appTerm 1279 ref appTerm 1964 def appTerm 666 ref 669 remove 1279 ref appTerm appTerm 1965 def appTerm 1966 def absTerm 1967 def 1279 ref appTerm 1968 def betaConv 659 ref 198 ref 1967 ref appTerm 1969 def absTerm 1970 def 667 ref appTerm 1971 def betaConv 661 ref 198 ref 1970 ref appTerm 1972 def absTerm 1973 def 665 ref appTerm 1974 def betaConv nil 198 ref 1973 ref appTerm 1975 def axiom 1976 def nil 67 ref 1975 remove nil cons cons 68 ref 1974 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1973 remove nil cons cons 676 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1972 remove nil cons cons 68 ref 1971 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1970 remove nil cons cons 677 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1969 remove nil cons cons 68 ref 1968 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 1967 remove nil cons cons 1294 ref cons nil cons cons 161 ref subst eqMp eqMp 1977 def subst 1357 ref 1948 ref 1497 ref subst appThm trans trans trans appThm 1152 ref appThm nil 166 ref 1868 ref cons nil cons nil cons cons 225 ref subst 1978 def trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp 1979 def nil 67 ref 288 ref 1957 ref appTerm 1980 def nil cons cons 68 ref 1958 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1957 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1956 remove nil cons cons 68 ref 1955 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1954 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 1981 def subst appThm 1883 ref refl appThm nil 356 ref 1884 remove cons nil cons nil cons cons 1108 ref subst trans trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp 1982 def eqMp nil 288 ref 4 ref 288 ref 11 ref 601 ref 1883 ref appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref 292 ref 11 ref nil 11 ref 1264 ref cons 1983 def nil cons nil cons cons 700 ref subst 55 ref 41 ref 705 ref 1258 ref appThm absThm appThm trans absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 690 ref 1249 ref appTerm 1984 def absTerm 1985 def appTerm 1986 def absTerm 1987 def appTerm 1988 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 1988 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 1987 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 1986 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 1985 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 1984 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 1249 ref nil cons 1989 def cons nil cons 1990 def cons nil cons cons 1991 def 86 ref subst 1991 remove 151 ref subst 1259 ref 1741 ref appThm 368 ref appThm 519 ref 1351 ref subst trans 1992 def sym 105 ref eqMp 1993 def eqMp nil 1731 ref 114 ref 1989 ref cons nil cons 1994 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 1995 def nil 288 ref 4 ref 288 ref 11 ref 687 ref 1230 ref appTerm 1996 def absTerm 1997 def appTerm 1998 def absTerm 1999 def appTerm 2000 def thm 292 ref 4 ref 292 ref 11 ref 687 ref refl 2001 def 639 ref 1345 ref subst 2002 def appThm absThm appThm absThm appThm sym 1995 ref eqMp 2003 def nil 288 ref 4 ref 288 ref 11 ref 687 ref 1321 ref appTerm 2004 def absTerm 2005 def appTerm 2006 def absTerm 2007 def appTerm 2008 def thm 1982 remove nil 288 ref 4 ref 288 ref 11 ref 600 ref 1883 ref appTerm 28 ref appTerm absTerm appTerm absTerm appTerm thm 1879 remove nil 1880 remove thm 292 ref 4 ref 292 ref 11 ref nil 596 ref 650 ref cons nil cons cons 2009 def 700 ref subst 55 ref 41 ref 329 ref 632 ref appThm 634 ref appThm absThm appThm trans absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 69 ref 622 ref appTerm 49 ref appTerm 2010 def absTerm 2011 def appTerm 2012 def absTerm 2013 def appTerm 2014 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2014 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2013 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2012 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 2011 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2010 remove nil cons 2015 def cons nil cons nil cons cons 106 ref subst nil 1914 ref 1706 ref cons nil cons cons 2016 def 86 ref subst 2016 ref 151 ref subst 1917 ref eqMp nil 1913 ref 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp 2017 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 2018 def nil 288 ref 4 ref 288 ref 11 ref 686 ref 610 ref appTerm 2019 def 28 ref appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref 292 ref 11 ref 1035 ref 682 ref appThm 1394 ref appThm absThm appThm absThm appThm sym 2018 remove eqMp 2020 def nil 288 ref 4 ref 288 ref 11 ref 686 ref 642 ref appTerm 28 ref appTerm 2021 def absTerm 2022 def appTerm 2023 def absTerm 2024 def appTerm 2025 def thm 292 ref 4 ref 33 ref 714 ref 619 ref subst 640 ref 1499 ref 28 ref appTerm 2026 def betaConv 1498 remove nil 67 ref 1500 remove nil cons cons 68 ref 2026 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1499 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp appThm 683 ref appThm trans appThm 1513 ref refl appThm nil 166 ref 1608 ref cons nil cons 2027 def nil cons cons 225 ref subst trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 23 ref 601 ref 28 ref appTerm appTerm 1513 ref appTerm absTerm appTerm thm 292 ref 4 ref 33 ref 952 ref 700 ref subst 55 ref 41 ref 329 ref 475 ref appThm 2028 def 634 ref appThm 470 ref 99 ref 23 ref 69 ref 91 ref appTerm 2029 def 102 ref appTerm appTerm 102 ref appTerm absTerm 2030 def 102 remove appTerm 2031 def betaConv nil 198 ref 2030 ref appTerm 2032 def axiom nil 67 ref 2032 remove nil cons cons 68 ref 2031 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 2030 remove nil cons cons 203 remove cons nil cons cons 161 ref subst eqMp eqMp 2033 def subst trans absThm appThm trans appThm 704 ref 381 ref subst 55 ref 41 ref 1546 ref 475 ref appThm 470 ref 247 ref subst trans absThm appThm trans 2034 def appThm nil 166 ref 54 ref 41 ref 49 ref absTerm 2035 def appTerm 2036 def nil cons cons nil cons nil cons cons 225 ref subst 2037 def trans absThm appThm 526 ref trans sym 105 ref eqMp 2038 def nil 288 ref 4 ref 23 ref 1101 remove appTerm 29 ref 6 ref appTerm 2039 def appTerm absTerm 2040 def appTerm 2041 def thm 292 ref 4 ref 33 ref 16 remove 700 ref subst 55 ref 41 ref 705 ref 466 ref appThm 470 ref 1077 ref subst 2042 def trans absThm appThm trans appThm 1547 ref appThm nil 166 ref 1597 ref nil cons 2043 def cons nil cons nil cons cons 225 ref subst trans absThm appThm 526 ref trans sym 105 ref eqMp 2044 def nil 288 ref 4 ref 23 ref 1107 ref appTerm 1513 ref appTerm absTerm 2045 def appTerm 2046 def thm 292 ref 4 ref nil 596 ref 4 ref 1118 ref 6 ref appTerm 2047 def 2047 ref 28 ref appTerm 2048 def appTerm 2049 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil 11 ref 2048 remove nil cons cons 9 ref cons nil cons cons 1152 ref subst 1487 ref 35 ref 952 remove 1152 ref subst 1487 ref 467 ref appThm 469 ref 562 ref subst trans trans appThm 471 remove trans appThm 1488 remove trans trans appThm 634 ref appThm 1311 ref trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 27 ref 2049 remove appTerm 28 ref appTerm absTerm appTerm thm nil 510 ref 488 ref 27 ref 530 ref 1111 ref 18 ref 483 ref 18 ref 3 ref 508 ref cons opType nil cons cons opType constTerm 2050 def 491 ref appTerm 2051 def 13 ref appTerm 2052 def appTerm 2053 def appTerm 532 ref appTerm 2054 def absTerm 2055 def nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 2054 remove nil cons cons nil cons nil cons cons 106 ref subst nil 11 ref 532 ref nil cons 2056 def cons 2057 def 4 ref 2053 ref nil cons cons nil cons cons nil cons cons 381 ref subst sym nil 144 ref 41 ref 23 ref 46 ref 2053 remove appTerm appTerm 46 ref 532 ref appTerm 2058 def appTerm 2059 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2059 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 488 ref 2052 remove nil cons cons nil cons nil cons cons 542 ref subst 543 ref 11 ref 544 ref nil 1667 ref 14 ref cons 2060 def 361 ref cons nil cons cons 2061 def 325 ref 1197 ref subst subst appThm 368 ref appThm absThm appThm trans appThm 542 ref appThm sym nil 67 ref 534 ref 11 ref 75 ref 75 ref 1679 ref 491 ref appTerm 2062 def appTerm 2063 def 34 ref 1676 ref 13 ref appTerm 2064 def appTerm 2065 def appTerm 2066 def appTerm 47 ref appTerm 2067 def absTerm 2068 def appTerm 2069 def nil cons 2070 def cons 68 ref 534 ref 11 ref 2063 ref 47 ref appTerm 2071 def absTerm 2072 def appTerm 2073 def nil cons 2074 def cons nil cons 2075 def cons nil cons cons 348 ref subst nil 317 ref 11 ref 69 ref 2068 ref 30 ref appTerm 2076 def appTerm 2073 ref appTerm 2077 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2077 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2076 ref nil cons 2078 def cons 2075 ref cons nil cons cons 2079 def 86 ref subst 2079 remove 151 ref subst 2076 ref betaConv 2080 def 2076 remove assume eqMp nil 67 ref 2067 remove nil cons 2081 def cons 2075 ref cons nil cons cons 2082 def 136 ref subst proveHyp 2082 ref 86 ref subst 2082 remove 151 ref subst nil 112 ref 2066 remove nil cons cons 1727 ref cons nil cons cons 2083 def 127 ref subst 2083 remove 347 ref subst nil 112 ref 2062 ref nil cons 2084 def cons 2085 def 114 ref 2065 remove nil cons cons nil cons cons nil cons cons 127 ref subst 2072 ref 30 ref appTerm 2086 def betaConv 2087 def sym 544 ref nil 99 ref 2084 ref cons nil cons nil cons cons 2088 def 106 ref subst 2062 ref assume eqMp 2089 def appThm 2090 def 1793 ref appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 2072 ref nil cons 2091 def cons 2092 def 361 ref cons nil cons cons 594 ref subst proveHyp 2093 def proveHyp proveHyp proveHyp eqMp nil 112 ref 2081 remove cons 114 ref 2074 ref cons nil cons 2094 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2078 remove cons 2094 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 2068 ref 1822 ref appTerm appTerm 2073 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2069 ref appTerm 2073 ref appTerm nil cons 2095 def cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2068 remove nil cons cons 2096 def 2094 ref cons nil cons cons 929 ref subst eqMp nil 67 ref 2095 remove cons 68 ref 69 ref 2073 ref appTerm 2097 def 2069 ref appTerm nil cons cons nil cons 2098 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 11 ref 69 ref 2086 ref appTerm 2099 def 2069 ref appTerm 2100 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2100 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2086 ref nil cons 2101 def cons 2102 def 68 ref 2070 ref cons nil cons 2103 def cons nil cons cons 2104 def 86 ref subst 2104 remove 151 ref subst 2087 ref 2086 remove assume eqMp 2105 def nil 67 ref 2071 ref nil cons 2106 def cons 2107 def 2103 remove cons nil cons cons 2108 def 136 ref subst proveHyp 2108 ref 86 ref subst 2108 remove 151 ref subst nil 2085 ref 1727 ref cons nil cons cons 2109 def 127 ref subst 2110 def 2109 remove 347 ref subst 2111 def 2080 remove sym 544 ref 2090 ref 1037 ref 472 ref subst 2112 def appThm nil 99 ref 39 ref 41 ref 47 ref absTerm 2113 def appTerm nil cons cons nil cons nil cons cons 2114 def 562 ref subst trans appThm 1793 ref appThm 2114 remove 1362 ref subst trans sym 2113 ref 45 ref appTerm betaConv 2115 def sym 1792 ref eqMp 309 ref 144 ref 2113 ref nil cons 2116 def cons 311 ref cons nil cons cons 594 ref subst proveHyp 2117 def eqMp eqMp 324 ref 2096 remove 361 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 2106 remove cons 2118 def 114 ref 2070 remove cons nil cons 2119 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2101 remove cons 2120 def 2119 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 2072 ref 1822 ref appTerm appTerm 2121 def 2069 remove appTerm absTerm appTerm nil cons cons 2098 remove cons nil cons cons 136 ref subst proveHyp 324 ref 2092 ref 2119 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp nil 506 ref 2055 remove appTerm thm nil 510 ref 488 ref 27 ref 530 ref 1651 ref 13 ref appTerm 2122 def 491 ref appTerm 2123 def appTerm 2124 def appTerm 532 ref appTerm 2125 def absTerm 2126 def nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 2125 remove nil cons cons nil cons nil cons cons 106 ref subst nil 2057 ref 4 ref 2124 ref nil cons cons nil cons cons nil cons cons 381 ref subst sym nil 144 ref 41 ref 23 ref 46 ref 2124 remove appTerm appTerm 2058 ref appTerm 2127 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2127 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 488 ref 2123 remove nil cons cons nil cons nil cons cons 542 ref subst 543 ref 11 ref 544 ref 2061 remove 1670 ref subst appThm 368 ref appThm absThm appThm trans appThm 542 ref appThm sym nil 67 ref 534 ref 11 ref 75 ref 251 ref 2064 ref appTerm 2128 def 2062 ref appTerm 2129 def appTerm 47 ref appTerm 2130 def absTerm 2131 def appTerm 2132 def nil cons 2133 def cons 2075 ref cons nil cons cons 348 ref subst nil 317 ref 11 ref 69 ref 2131 ref 30 ref appTerm 2134 def appTerm 2073 ref appTerm 2135 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2135 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2134 ref nil cons 2136 def cons 2075 ref cons nil cons cons 2137 def 86 ref subst 2137 remove 151 ref subst 2134 ref betaConv 2138 def 2134 remove assume eqMp nil 67 ref 2130 remove nil cons 2139 def cons 2075 ref cons nil cons cons 2140 def 136 ref subst proveHyp 2140 ref 86 ref subst 2140 remove 151 ref subst nil 112 ref 2129 remove nil cons cons 1727 ref cons nil cons cons 2141 def 127 ref subst 2141 remove 347 ref subst nil 67 ref 2084 ref cons 2142 def 2075 ref cons nil cons cons 2143 def 86 ref subst 2143 remove 151 ref subst 2093 ref eqMp nil 2085 ref 2094 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 2064 ref nil cons 2144 def cons 2145 def 2075 remove cons nil cons cons 2146 def 86 ref subst 2146 remove 151 ref subst nil 2145 remove 1072 ref cons nil cons cons 136 ref subst nil 99 ref 2144 ref cons nil cons nil cons cons 2147 def 1077 ref subst 2112 remove trans sym 2117 remove eqMp eqMp nil 112 ref 2074 ref cons 2148 def nil cons nil cons cons 1094 remove subst proveHyp eqMp nil 112 ref 2144 remove cons 2149 def 2094 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 2149 remove 114 ref 2084 ref cons 261 ref 2074 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 2139 remove cons 2094 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2136 remove cons 2094 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 2131 ref 1822 ref appTerm appTerm 2073 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2132 ref appTerm 2073 ref appTerm nil cons 2150 def cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2131 remove nil cons cons 2151 def 2094 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 2150 remove cons 68 ref 2097 ref 2132 ref appTerm nil cons cons nil cons 2152 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 11 ref 2099 remove 2132 ref appTerm 2153 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2153 remove nil cons cons nil cons nil cons cons 106 ref subst nil 2102 remove 68 ref 2133 ref cons nil cons 2154 def cons nil cons cons 2155 def 86 ref subst 2155 remove 151 ref subst 2105 remove nil 2107 remove 2154 remove cons nil cons cons 2156 def 136 ref subst proveHyp 2156 ref 86 ref subst 2156 remove 151 ref subst 2110 remove 2111 remove 2138 remove sym 544 ref 2128 remove refl 2089 ref appThm 2147 remove 1612 ref subst trans appThm 1793 ref appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 2151 remove 361 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 2118 remove 114 ref 2133 remove cons nil cons 2157 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 2120 remove 2157 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 2121 ref 2132 remove appTerm absTerm appTerm nil cons cons 2152 remove cons nil cons cons 136 ref subst proveHyp 324 ref 2092 ref 2157 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp nil 506 ref 2126 remove appTerm thm nil 144 ref 41 ref 288 ref 4 ref 34 ref 1162 ref 13 ref appTerm appTerm 2158 def absTerm 2159 def appTerm 2160 def absTerm 2161 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2160 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2159 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2158 remove nil cons cons nil cons nil cons cons 106 ref subst 35 ref nil 15 ref 1245 ref nil cons 2162 def cons nil cons cons 381 ref subst 55 ref 1134 ref 33 ref 1260 ref appThm 2163 def 1269 ref 466 ref subst 2164 def appThm nil 99 ref 1296 ref nil cons 2165 def cons nil cons nil cons cons 2166 def 217 ref subst trans absThm appThm trans appThm 33 ref 35 ref 55 ref 1134 ref 1134 ref 34 ref 1296 ref appTerm absTerm 2167 def 1137 ref appTerm betaConv 2168 def absThm appThm appThm appThm 40 ref 1134 ref 35 ref 2168 remove appThm absThm appThm appThm nil 56 ref 2167 remove nil cons cons nil cons nil cons cons 56 ref 23 ref 34 ref 1589 ref appTerm appTerm 39 ref 61 remove appTerm appTerm absTerm 2169 def 57 ref appTerm 2170 def betaConv nil 65 ref 2169 ref appTerm 2171 def axiom nil 67 ref 2171 remove nil cons cons 68 ref 2170 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 2169 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp 2172 def subst eqMp 40 ref 1134 ref 2166 remove 210 ref subst absThm appThm trans trans sym 1134 ref 1296 ref absTerm 2173 def 45 ref appTerm betaConv sym 1842 ref sym 105 ref eqMp eqMp 309 ref 144 ref 2173 remove nil cons cons 311 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 54 ref 2161 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 603 ref 600 ref 30 ref appTerm 2174 def 28 ref appTerm appTerm 2175 def absTerm 2176 def appTerm 2177 def absTerm 2178 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2177 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2176 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2175 remove nil cons cons nil cons nil cons cons 106 ref subst 684 ref eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 2178 remove appTerm thm 679 remove nil 680 remove thm 1343 remove nil 1344 remove thm nil 317 ref 4 ref 288 ref 11 ref 69 ref 955 ref appTerm 688 ref appTerm 2179 def absTerm 2180 def appTerm 2181 def absTerm 2182 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2181 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2180 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2179 remove nil cons cons nil cons nil cons cons 106 ref subst 329 ref 974 ref appThm 688 ref refl 2183 def appThm sym nil 67 ref 967 remove nil cons 2184 def cons 1055 ref cons nil cons cons 2185 def 86 ref subst 2185 remove 151 ref subst nil 1051 ref 114 ref 383 remove nil cons cons nil cons cons nil cons cons 127 ref subst eqMp nil 112 ref 2184 remove cons 114 ref 1050 ref cons nil cons 2186 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 2182 remove appTerm thm 292 ref 4 ref 23 ref 2036 remove appTerm 2187 def refl 2034 ref appThm 2037 remove trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 2187 remove 2039 remove appTerm absTerm appTerm thm 292 ref 4 ref 33 ref 704 remove 974 ref subst 544 ref 711 ref appThm 2188 def 35 ref 2034 remove appThm 33 ref 35 ref 55 ref 41 ref 1478 ref absThm appThm appThm appThm 40 ref 41 ref 35 ref 1478 ref appThm absThm appThm appThm nil 56 ref 2035 ref nil cons 2189 def cons nil cons nil cons cons 2190 def 2172 ref subst eqMp trans appThm nil 99 ref 39 ref 1585 ref appTerm 2191 def nil cons 2192 def cons nil cons nil cons cons 562 ref subst trans trans appThm 2191 ref refl appThm nil 166 ref 2192 remove cons nil cons nil cons cons 225 ref subst trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 23 ref 954 ref 6 ref appTerm appTerm 2191 remove appTerm absTerm appTerm thm 292 ref 4 ref 23 ref 39 ref 2035 ref appTerm 2193 def appTerm 2194 def refl 2195 def 472 ref appThm nil 166 ref 2193 ref nil cons 2196 def cons nil cons nil cons cons 225 ref subst trans absThm appThm 526 ref trans sym 105 ref eqMp 2197 def nil 288 ref 4 ref 2194 remove 34 ref 1513 ref appTerm 2198 def appTerm 2199 def absTerm 2200 def appTerm 2201 def thm 55 ref 41 ref 55 ref 296 ref 33 ref 1187 ref appThm 298 ref refl 2202 def appThm nil 166 ref 1180 ref cons nil cons nil cons cons 225 ref subst trans absThm appThm 377 ref trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 41 ref 54 ref 296 ref 23 ref 46 ref 1121 ref 297 ref appTerm 2203 def 13 ref appTerm 2204 def appTerm 2205 def appTerm 298 ref appTerm absTerm appTerm absTerm appTerm thm nil 144 ref 41 ref 288 ref 4 ref 281 ref 1162 remove 28 ref appTerm appTerm 2206 def absTerm 2207 def appTerm 2208 def absTerm 2209 def nil cons cons 2210 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2208 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2207 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2206 remove nil cons cons nil cons nil cons cons 106 ref subst 1546 remove nil 596 ref 2162 ref cons nil cons cons 381 ref subst 55 ref 1134 ref 2163 remove 1471 ref appThm absThm appThm trans appThm sym nil 1015 ref 68 ref 54 ref 1134 ref 23 ref 1296 ref appTerm 1154 ref appTerm 2211 def absTerm 2212 def appTerm 2213 def nil cons 2214 def cons nil cons cons nil cons cons 2215 def 348 ref subst 2215 ref 86 ref subst 2215 remove 151 ref subst nil 144 ref 2212 ref nil cons cons 2216 def nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 2211 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2165 ref cons 68 ref 1274 ref cons 2217 def nil cons 2218 def cons nil cons cons 2219 def 348 ref subst 2219 ref 86 ref subst 2219 remove 151 ref subst nil 67 ref 1274 ref cons 2220 def 2218 ref cons nil cons cons 2221 def 86 ref subst 2221 remove 151 ref subst 1154 ref assume 2222 def eqMp nil 112 ref 1274 ref cons 2223 def 114 ref 1274 ref cons 2224 def nil cons 2225 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 1275 ref cons 2226 def 2218 ref cons nil cons cons 2227 def 86 ref subst 2227 remove 151 ref subst 23 ref 1476 remove appTerm refl 1478 ref appThm 33 ref 1477 remove appThm 634 ref appThm trans 1475 remove refl 2228 def 1200 ref assume 2229 def appThm eqMp 2230 def sym 1740 remove eqMp eqMp nil 112 ref 1275 ref cons 2231 def 2225 ref cons nil cons cons 2232 def 127 ref subst 2233 def deductAntisym eqMp 2234 def nil 2231 ref 2224 remove 261 ref 1274 ref cons nil cons 2235 def cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 2165 ref cons 2225 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 1296 ref appTerm 1154 ref appTerm nil cons cons 68 ref 69 ref 1154 ref appTerm 2236 def 1296 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 2220 ref 68 ref 2165 ref cons nil cons cons nil cons cons 2237 def 86 ref subst 2237 remove 151 ref subst 1268 ref nil 99 ref 1274 ref cons nil cons nil cons cons 2238 def 106 ref subst 2222 remove eqMp 2239 def appThm nil 99 ref 1275 ref cons nil cons nil cons cons 2240 def 1612 ref subst 2241 def trans sym 105 ref eqMp eqMp nil 2223 ref 114 ref 2165 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 1731 ref 114 ref 2214 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 690 ref 2213 ref appTerm nil cons cons 68 ref 69 ref 2213 remove appTerm 49 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 2214 ref cons 2242 def 1706 ref cons nil cons cons 2243 def 86 ref subst 2243 remove 151 ref subst 2212 remove 45 ref appTerm 2244 def betaConv nil 2242 remove 68 ref 2244 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 2216 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 251 ref 222 ref appTerm 49 ref appTerm appTerm 49 ref appTerm nil cons cons 1706 ref cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 1842 ref appThm 634 ref appThm 470 ref 242 ref subst trans appThm 634 ref appThm 715 remove trans sym 105 ref eqMp eqMp eqMp nil 112 ref 2214 remove cons 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 2245 def nil 54 ref 2209 ref appTerm 2246 def thm 1204 remove nil 54 ref 41 ref 288 ref 4 ref 1131 remove absTerm appTerm absTerm appTerm thm 55 ref 41 ref 292 ref 4 ref nil 11 ref 1244 remove cons 4 ref 1122 ref 1161 ref appTerm 2247 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 1134 ref 33 ref nil 1245 remove 1158 ref cons nil cons cons 1178 ref subst 1268 ref 1260 ref appThm nil 1272 ref 1274 ref cons 2248 def 659 ref 1275 ref cons 2249 def 1276 ref cons cons nil cons cons 1295 ref subst 1259 ref 2240 ref 1508 remove subst appThm 1471 ref appThm trans trans trans appThm 1260 ref appThm nil 166 ref 2165 remove cons nil cons nil cons cons 225 ref subst trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 41 ref 288 ref 4 ref 27 ref 2247 remove appTerm 1161 ref appTerm absTerm appTerm absTerm appTerm thm 55 ref 41 ref 292 ref 4 ref 640 ref nil 4 ref 1132 ref cons 2250 def nil cons 2251 def nil cons cons 2252 def 1205 ref subst 1118 ref refl 2253 def 1205 ref appThm 2254 def 1123 ref refl 2255 def appThm 1850 ref 1981 remove subst trans trans appThm 1205 ref appThm nil 356 ref 1133 remove cons nil cons nil cons cons 1108 ref subst trans absThm appThm 526 ref trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 41 ref 288 ref 4 ref 27 ref 1113 ref 1115 ref appTerm 2256 def 45 ref appTerm appTerm 1115 ref appTerm absTerm appTerm absTerm appTerm thm 1315 remove nil 54 ref 41 ref 288 ref 4 ref 1226 remove absTerm appTerm absTerm appTerm thm 292 ref 4 ref 55 ref 41 ref 33 ref nil 596 ref 1207 remove cons 2257 def nil cons cons 2258 def 700 ref subst 55 ref 1134 ref 329 ref 1188 ref appThm 2259 def 1471 ref appThm absThm appThm trans appThm 634 ref appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 54 ref 41 ref 23 ref 54 ref 1134 ref 69 ref 1200 ref appTerm 2260 def 1154 ref appTerm 2261 def absTerm 2262 def appTerm 2263 def appTerm 49 ref appTerm 2264 def absTerm 2265 def appTerm 2266 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2266 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 2265 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2264 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2263 ref nil cons 2267 def cons 2268 def 1706 ref cons nil cons cons 2269 def 348 ref subst 2269 ref 86 ref subst 2269 remove 151 ref subst 160 ref nil 67 ref 223 remove cons 1706 ref cons nil cons cons 136 ref subst proveHyp nil 1134 ref 310 ref cons nil cons nil cons cons 2262 ref 1137 ref appTerm 2270 def betaConv nil 2268 remove 68 ref 2270 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 2262 remove nil cons cons 2271 def 1139 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 112 ref 2267 ref cons 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 2263 ref appTerm 49 ref appTerm nil cons cons 68 ref 690 ref 2263 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1015 ref 68 ref 2267 ref cons nil cons cons nil cons cons 2272 def 86 ref subst 2272 remove 151 ref subst nil 2271 remove nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 2261 remove nil cons cons nil cons nil cons cons 106 ref subst 2234 ref eqMp absThm eqMp eqMp nil 1731 ref 114 ref 2267 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 2273 def nil 288 ref 4 ref 54 ref 41 ref 23 ref 686 ref 1123 ref appTerm 28 ref appTerm 2274 def appTerm 49 ref appTerm absTerm 2275 def appTerm 2276 def absTerm 2277 def appTerm 2278 def thm nil 317 ref 4 ref 288 ref 11 ref 689 ref 611 remove 28 ref appTerm 2279 def appTerm 2280 def absTerm 2281 def appTerm 2282 def absTerm 2283 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2282 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2281 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2280 ref nil cons cons nil cons nil cons cons 106 ref subst 33 ref 700 ref appThm 2284 def 2009 remove 381 ref subst 55 ref 41 ref 651 ref 634 ref appThm absThm appThm trans appThm sym nil 1020 ref 68 ref 54 ref 41 ref 652 remove 49 ref appTerm 2285 def absTerm 2286 def appTerm 2287 def nil cons 2288 def cons nil cons cons nil cons cons 2289 def 348 ref subst 2289 ref 86 ref subst 2289 remove 151 ref subst nil 144 ref 2286 ref nil cons cons 2290 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2285 remove nil cons cons nil cons nil cons cons 106 ref subst 2016 remove 348 ref subst 2017 remove nil 67 ref 2015 remove cons 68 ref 690 ref 622 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1015 ref 68 ref 1896 ref cons nil cons cons nil cons cons 2291 def 86 ref subst 2291 remove 151 ref subst 1018 ref 151 ref subst 2292 def 1018 ref 136 ref subst 1022 ref eqMp 2293 def eqMp eqMp nil 1731 ref 114 ref 1896 ref cons nil cons 2294 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 1008 ref 114 ref 2288 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 693 ref appTerm 2295 def 2287 ref appTerm nil cons cons 68 ref 69 ref 2287 remove appTerm 693 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 2288 ref cons 2296 def 68 ref 1007 ref cons nil cons 2297 def cons nil cons cons 2298 def 86 ref subst 2298 remove 151 ref subst nil 1021 remove nil cons nil cons cons 326 ref subst 2299 def 41 ref nil 99 ref 1023 remove cons nil cons nil cons cons 106 ref subst 2300 def 1018 remove 86 ref subst 2301 def 2286 remove 45 ref appTerm 2302 def betaConv nil 2296 remove 68 ref 2302 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 2290 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 112 ref 2288 remove cons 114 ref 1007 remove cons nil cons 2303 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 2304 def nil 288 ref 2283 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 689 remove 1247 ref 30 ref appTerm appTerm 2305 def absTerm 2306 def appTerm 2307 def absTerm 2308 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2307 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2306 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2305 remove nil cons cons nil cons nil cons cons 106 ref subst 2284 remove nil 1327 ref nil cons cons 381 ref subst 55 ref 41 ref 1328 ref 368 ref appThm absThm appThm trans appThm sym nil 1020 ref 68 ref 54 ref 41 ref 1329 remove 47 ref appTerm 2309 def absTerm 2310 def appTerm 2311 def nil cons 2312 def cons nil cons cons nil cons cons 2313 def 348 ref subst 2313 ref 86 ref subst 2313 remove 151 ref subst nil 144 ref 2310 ref nil cons cons 2314 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2309 remove nil cons 2315 def cons nil cons nil cons cons 106 ref subst nil 67 ref 1989 ref cons 2316 def 1017 ref cons nil cons cons 2317 def 348 ref subst 2317 ref 86 ref subst 2317 remove 151 ref subst nil 1819 ref 1017 ref cons nil cons cons 2318 def 86 ref subst 2318 remove 151 ref subst 1792 ref eqMp nil 1935 ref 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp 1022 ref nil 1731 ref 1726 ref 1744 remove cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 1989 ref cons 2319 def 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 1249 ref appTerm 2320 def 47 ref appTerm nil cons cons 68 ref 997 ref 1249 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1819 ref 1990 remove cons nil cons cons 2321 def 86 ref subst 2321 remove 151 ref subst 1916 remove 1816 ref subst 2322 def eqMp nil 1935 ref 1994 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 1008 ref 114 ref 2312 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 2295 ref 2311 ref appTerm nil cons cons 68 ref 69 ref 2311 remove appTerm 693 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 2312 ref cons 2323 def 2297 ref cons nil cons cons 2324 def 86 ref subst 2324 remove 151 ref subst 2299 ref 41 ref 2300 ref 2301 ref 2292 ref 2310 remove 45 ref appTerm 2325 def betaConv nil 2323 remove 68 ref 2325 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 2314 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2315 remove cons 1017 ref cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 1992 remove appThm 368 ref appThm 519 ref 242 ref subst 2326 def trans appThm 368 ref appThm 519 ref 409 ref subst 2327 def trans sym 105 ref eqMp eqMp eqMp 1917 ref deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 2312 remove cons 2303 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 2308 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 23 ref 1141 remove 13 ref appTerm appTerm 688 ref appTerm 2328 def absTerm 2329 def appTerm 2330 def absTerm 2331 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2330 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2329 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2328 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 15 ref 1859 ref cons nil cons cons 381 ref subst 55 ref 41 ref 1895 ref 466 ref appThm nil 99 ref 1868 ref cons nil cons nil cons cons 217 ref subst trans absThm appThm trans appThm 700 ref appThm sym 55 ref 41 ref nil 67 ref 1944 ref cons 2332 def 68 ref 23 ref 34 ref 1143 ref appTerm appTerm 691 ref appTerm nil cons 2333 def cons nil cons 2334 def cons nil cons cons 2335 def 86 ref subst 2335 remove 151 ref subst 23 ref "_10467" 19 ref var 2336 def 23 ref 34 ref 75 ref 2336 remove varTerm 2337 def appTerm 1142 ref appTerm appTerm appTerm 69 ref 2337 remove appTerm 47 ref appTerm appTerm absTerm 2338 def 49 ref appTerm 2339 def appTerm refl 2340 def 2338 ref 171 ref appTerm betaConv appThm 33 ref 2339 remove betaConv appThm 2341 def 23 ref 34 ref 545 ref 1142 ref appTerm 2342 def appTerm appTerm 520 ref 47 ref appTerm 2343 def appTerm refl appThm trans 2338 remove refl 2344 def 1943 remove assume 2345 def appThm eqMp sym 33 ref 35 ref 1949 ref appThm 400 ref trans appThm 525 ref appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 1944 ref cons 2346 def 114 ref 2333 ref cons nil cons 2347 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 281 ref 91 ref appTerm 2348 def nil cons 2349 def cons 2350 def 2334 remove cons nil cons cons 2351 def 86 ref subst 2351 remove 151 ref subst 2340 remove "_10465" 19 ref var 2352 def 23 ref 34 ref 75 ref 2352 remove varTerm 2353 def appTerm 1142 ref appTerm appTerm appTerm 69 ref 2353 remove appTerm 47 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 2341 remove 23 ref 34 ref 558 ref 1142 ref appTerm 2354 def appTerm appTerm 2029 ref 47 ref appTerm 2355 def appTerm refl appThm trans 2344 remove 2348 remove assume 2356 def appThm eqMp sym 33 ref 35 ref 1948 ref 562 ref subst 2357 def appThm 519 ref 210 ref subst 2358 def trans appThm 519 ref 2033 ref subst 2359 def appThm 369 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 2349 remove cons 2360 def 2347 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 49 ref appTerm 2361 def betaConv 255 ref nil 256 ref 68 ref 2361 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 1310 remove cons nil cons cons 161 ref subst eqMp eqMp 2362 def nil 2360 ref 114 ref 1944 remove cons 2363 def 261 ref 2333 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp absThm appThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 2331 remove appTerm thm 1951 ref nil 288 ref 4 ref 288 ref 11 ref 1894 remove absTerm 2364 def appTerm 2365 def absTerm 2366 def appTerm 2367 def thm 292 ref 4 ref 292 ref 11 ref 640 ref nil 1959 ref 638 ref cons nil cons cons 1345 ref subst appThm 2002 remove appThm absThm appThm absThm appThm sym 292 ref 4 ref 292 ref 11 ref nil 1983 ref 4 ref 1217 ref 1140 ref appTerm 30 ref appTerm 2368 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 1960 remove 1258 ref subst 1259 ref 1152 ref appThm 368 ref appThm trans appThm 1258 ref appThm absThm appThm trans absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 23 ref 251 ref 1143 ref appTerm 47 ref appTerm appTerm 1249 ref appTerm 2369 def absTerm 2370 def appTerm 2371 def absTerm 2372 def appTerm 2373 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2373 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2372 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2371 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 2370 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2369 remove nil cons 2374 def cons nil cons nil cons cons 106 ref subst nil 67 ref 1934 ref cons 2375 def 68 ref 2374 ref cons nil cons 2376 def cons nil cons cons 2377 def 86 ref subst 2377 remove 151 ref subst 23 ref "_10479" 19 ref var 2378 def 23 ref 251 ref 621 ref 34 ref 2378 remove varTerm 2379 def appTerm appTerm appTerm 2379 ref appTerm appTerm 1248 ref 2379 remove appTerm appTerm absTerm 2380 def 47 ref appTerm 2381 def appTerm refl 2382 def 2380 ref 171 ref appTerm betaConv appThm 33 ref 2381 remove betaConv appThm 2383 def 23 ref 251 ref 621 ref 397 ref appTerm 2384 def appTerm 171 ref appTerm appTerm 1248 ref 171 ref appTerm appTerm refl appThm trans 2380 remove refl 2385 def 1933 remove assume 2386 def appThm eqMp sym 33 ref nil 99 ref 2384 remove nil cons cons nil cons nil cons cons 1186 ref subst 1357 ref 400 ref appThm 1363 ref trans trans appThm 470 ref 1186 ref subst 2387 def appThm 1311 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 1934 ref cons 2388 def 114 ref 2374 ref cons nil cons 2389 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 48 ref 91 ref appTerm 2390 def nil cons 2391 def cons 2392 def 2376 remove cons nil cons cons 2393 def 86 ref subst 2393 remove 151 ref subst 2382 remove "_10477" 19 ref var 2394 def 23 ref 251 ref 621 ref 34 ref 2394 remove varTerm 2395 def appTerm appTerm appTerm 2395 ref appTerm appTerm 1248 ref 2395 remove appTerm appTerm absTerm 91 ref appTerm betaConv appThm 2383 remove 23 ref 251 ref 621 ref 415 ref appTerm 2396 def appTerm 91 ref appTerm appTerm 1248 ref 91 ref appTerm appTerm refl appThm trans 2385 remove 2390 remove assume 2397 def appThm eqMp sym 33 ref nil 99 ref 2396 remove nil cons cons nil cons nil cons cons 1612 ref subst appThm 470 remove 1612 ref subst 2398 def appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 2391 remove cons 2399 def 2389 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 47 ref appTerm 2400 def betaConv 255 ref nil 256 ref 68 ref 2400 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 168 ref cons nil cons cons 161 ref subst eqMp eqMp 2401 def nil 2399 ref 114 ref 1934 remove cons 2402 def 261 ref 2374 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 2403 def eqMp nil 288 ref 4 ref 288 ref 11 ref 27 ref 1320 ref 1140 ref appTerm appTerm 1321 remove appTerm absTerm appTerm absTerm appTerm thm 1979 remove nil 1980 remove thm 2403 remove nil 288 ref 4 ref 288 ref 11 ref 27 ref 2368 remove appTerm 1230 ref appTerm absTerm appTerm absTerm appTerm thm 1747 remove nil 1748 remove thm 1834 remove nil 1835 remove thm 1429 ref 1403 ref 292 ref 4 ref 33 ref nil 1511 ref 1548 ref 1408 ref nil cons 2404 def cons 2405 def nil cons 2406 def cons nil cons cons 1551 ref subst 758 ref 872 ref 33 ref nil 795 ref 910 ref nil cons 2407 def cons nil cons 2408 def nil cons cons 1469 ref subst 2409 def appThm 2410 def 1554 ref appThm nil 99 ref 39 ref 41 ref 75 ref 853 ref 910 ref appTerm 2411 def 1412 ref appTerm 2412 def appTerm 2413 def 49 ref appTerm 2414 def absTerm 2415 def appTerm 2416 def nil cons 2417 def cons nil cons nil cons cons 217 ref subst 33 ref 35 ref 40 ref 41 ref 2415 ref 45 ref appTerm 2418 def betaConv 2419 def absThm appThm 2420 def appThm appThm 55 ref 41 ref 35 ref 2419 ref appThm absThm appThm appThm nil 56 ref 2415 ref nil cons 2421 def cons 2422 def nil cons nil cons cons 162 ref subst eqMp trans trans absThm appThm trans appThm 1547 ref appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 288 ref 4 ref 23 ref 757 ref 872 ref 54 ref 41 ref 34 ref 2414 ref appTerm absTerm appTerm 2423 def absTerm 2424 def appTerm 2425 def appTerm 1597 ref appTerm 2426 def absTerm 2427 def appTerm 2428 def absTerm nil cons cons nil cons nil cons cons 1465 ref 326 ref subst 2429 def subst 1403 ref nil 99 ref 2428 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2427 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2426 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2425 ref nil cons 2430 def cons 2431 def 68 ref 2043 ref cons nil cons cons nil cons cons 2432 def 348 ref subst 2432 ref 86 ref subst 2432 remove 151 ref subst nil 144 ref 1585 ref nil cons 2433 def cons 2434 def nil cons nil cons cons 326 ref subst 41 ref 469 remove 106 ref subst 2042 ref nil 1015 ref 1072 ref cons nil cons cons 2435 def 86 ref subst 2436 def 2435 remove 151 ref subst 2437 def 1134 ref 34 ref 75 ref 853 ref 1412 ref appTerm 2438 def 1406 ref 1137 ref appTerm 2439 def appTerm 2440 def appTerm 2441 def 1154 ref appTerm 2442 def appTerm absTerm 2443 def 45 ref appTerm 2444 def betaConv 2424 ref 1412 ref appTerm 2445 def betaConv nil 2431 remove 68 ref 2445 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 2424 remove nil cons cons 2446 def 872 ref 1412 ref nil cons 2447 def cons nil cons 2448 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 54 ref 2443 ref appTerm nil cons cons 68 ref 2444 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 2443 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 34 ref 75 ref 2438 ref 1412 ref appTerm 2449 def appTerm 49 ref appTerm 2450 def appTerm nil cons 2451 def cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 99 ref 2451 remove cons nil cons nil cons cons 1077 ref subst nil 99 ref 2450 remove nil cons cons nil cons nil cons cons 210 ref subst trans 544 ref nil 2448 ref nil cons cons 2452 def 940 ref subst 2453 def appThm 2454 def 1741 ref appThm 941 ref trans 2455 def trans sym 105 ref eqMp eqMp eqMp nil 1731 ref 1079 ref cons nil cons cons 127 ref subst 2456 def deductAntisym eqMp eqMp eqMp absThm eqMp eqMp nil 112 ref 2430 ref cons 114 ref 2043 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 2425 ref appTerm 1597 ref appTerm nil cons cons 68 ref 69 ref 1597 ref appTerm 2425 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 2043 ref cons 2457 def 68 ref 2430 ref cons nil cons cons nil cons cons 2458 def 86 ref subst 2458 remove 151 ref subst nil 2446 remove nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 2423 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 1134 ref 34 ref 75 ref 2411 ref 2439 ref appTerm 2459 def appTerm 2460 def 1154 ref appTerm 2461 def appTerm 2462 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 2462 remove nil cons cons nil cons nil cons cons 106 ref subst nil 112 ref 2461 remove nil cons 2463 def cons 2464 def nil cons nil cons cons 1070 ref subst nil 67 ref 2463 remove cons 2465 def 1072 ref cons nil cons cons 2466 def 86 ref subst 2466 remove 151 ref subst nil 112 ref 2459 ref nil cons cons 2467 def 2225 ref cons nil cons cons 2468 def 347 ref subst 2469 def 1585 remove 1137 ref appTerm 2470 def betaConv nil 2457 remove 68 ref 2470 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 2434 remove 1139 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 34 ref 1154 ref appTerm nil cons 2471 def cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 99 ref 2471 remove cons nil cons nil cons cons 1077 ref subst 2238 ref 210 ref subst 2239 ref trans trans sym 105 ref eqMp eqMp proveHyp eqMp nil 2464 ref 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 2043 remove cons 114 ref 2430 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 1422 ref 1403 ref 288 ref 4 ref 23 ref 1434 ref 1509 ref appTerm appTerm 1513 ref appTerm absTerm appTerm absTerm appTerm thm nil 510 ref 488 ref 506 ref "t" 483 ref var 2472 def 69 ref 685 ref 18 ref 483 ref 496 remove cons opType 2473 def constTerm 2474 def 491 ref appTerm 2472 ref varTerm 2475 def appTerm 2476 def appTerm 686 ref 485 ref 2475 ref appTerm 2477 def appTerm 492 ref appTerm 2478 def appTerm 2479 def absTerm 2480 def appTerm 2481 def absTerm 2482 def nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 2481 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 2480 remove nil cons cons nil cons nil cons cons 1695 ref subst 2472 ref nil 99 ref 2479 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2476 ref nil cons 2483 def cons 68 ref 2478 remove nil cons 2484 def cons nil cons 2485 def cons nil cons cons 2486 def 86 ref subst 2486 remove 151 ref subst nil 317 ref 356 ref 69 ref 497 ref 1822 ref appTerm 2487 def 491 ref appTerm 2488 def appTerm 2489 def 534 ref "x'" 3 ref var 2490 def 75 ref 497 ref 2490 ref varTerm 2491 def appTerm 2492 def 2475 ref appTerm appTerm 686 ref 2491 ref appTerm 1822 ref appTerm appTerm absTerm 2493 def appTerm 2494 def appTerm 2495 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 356 ref nil 99 ref 2495 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2488 ref nil cons 2496 def cons 2497 def 68 ref 2494 remove nil cons 2498 def cons nil cons cons nil cons cons 2499 def 86 ref subst 2499 remove 151 ref subst 2493 ref 1822 ref appTerm betaConv sym 75 ref 2487 ref 2475 ref appTerm 2500 def appTerm 2501 def refl nil 4 ref 1822 ref nil cons 2502 def cons 2503 def nil cons 2504 def nil cons cons 2505 def 716 remove subst appThm nil 99 ref 2500 ref nil cons 2506 def cons nil cons nil cons cons 2507 def 1362 ref subst trans sym nil 2497 remove 68 ref 2506 ref cons nil cons cons nil cons cons 136 ref subst 356 ref 2489 ref 2500 ref appTerm absTerm 2508 def 1822 ref appTerm 2509 def betaConv 325 ref 700 ref subst 2510 def 2476 remove assume eqMp nil 67 ref 288 ref 2508 ref appTerm nil cons cons 68 ref 2509 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2508 remove nil cons cons 356 ref 2502 ref cons nil cons 2511 def cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp eqMp 324 ref 317 ref 2493 remove nil cons cons 2511 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 2496 ref cons 114 ref 2498 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 1667 ref 69 ref 497 ref 1667 ref varTerm 2512 def appTerm 2513 def 491 ref appTerm appTerm 534 ref 356 ref 2501 remove 686 ref 1822 ref appTerm 2514 def 2512 ref appTerm 2515 def appTerm absTerm appTerm appTerm absTerm appTerm nil cons cons 2485 remove cons nil cons cons 136 ref subst proveHyp nil 2472 ref 512 remove cons 488 ref 2475 ref nil cons 2516 def cons nil cons 2517 def cons nil cons cons 2472 ref 69 ref 288 ref 1667 ref 69 ref 2513 remove 2475 ref appTerm 2518 def appTerm 2519 def 534 ref 356 ref 75 ref 2488 ref appTerm 2520 def 2515 ref appTerm absTerm appTerm appTerm absTerm appTerm appTerm 686 ref 492 ref appTerm 2477 ref appTerm appTerm absTerm 2521 def 2475 ref appTerm 2522 def betaConv 488 ref 506 ref 2521 ref appTerm 2523 def absTerm 2524 def 491 ref appTerm 2525 def betaConv 1663 ref 488 ref 1663 ref 2472 ref 329 ref 292 ref 1667 ref 2519 ref refl 543 ref 356 ref 2520 ref refl 2526 def nil 11 ref 2512 ref nil cons 2527 def cons 2528 def 2504 remove cons nil cons cons 700 ref subst appThm absThm appThm appThm absThm appThm appThm nil 11 ref 2477 ref nil cons cons 4 ref 492 ref nil cons 2529 def cons 2530 def nil cons 2531 def cons nil cons cons 2532 def 700 ref subst 55 ref 41 ref 329 ref 516 ref appThm nil 2517 remove nil cons cons 2533 def 516 ref subst 2534 def appThm absThm appThm trans appThm absThm appThm absThm appThm sym nil 510 ref 488 ref 506 ref 2472 ref 69 ref 288 ref 1667 ref 2519 remove 534 ref 356 ref 2520 ref 54 ref 41 ref 69 ref 46 ref 1822 ref appTerm 2535 def appTerm 2536 def 46 ref 2512 ref appTerm 2537 def appTerm absTerm appTerm appTerm absTerm appTerm appTerm absTerm 2538 def appTerm 2539 def appTerm 54 ref 41 ref 69 ref 288 ref 11 ref 69 ref 2062 ref appTerm 2540 def 47 ref appTerm 2541 def absTerm 2542 def appTerm 2543 def appTerm 288 ref 11 ref 69 ref 1679 ref 2475 ref appTerm 2544 def appTerm 47 ref appTerm 2545 def absTerm 2546 def appTerm 2547 def appTerm 2548 def absTerm 2549 def appTerm 2550 def appTerm 2551 def absTerm 2552 def appTerm 2553 def absTerm nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 2553 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 2552 remove nil cons cons nil cons nil cons cons 1695 ref subst 2472 ref nil 99 ref 2551 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2539 remove nil cons 2554 def cons 2555 def 68 ref 2550 remove nil cons 2556 def cons nil cons cons nil cons cons 2557 def 86 ref subst 2557 remove 151 ref subst nil 144 ref 2549 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2548 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2543 ref nil cons 2558 def cons 2559 def 68 ref 2547 remove nil cons 2560 def cons nil cons cons nil cons cons 2561 def 86 ref subst 2561 remove 151 ref subst nil 317 ref "q" 3 ref var 2562 def 69 ref 497 ref 2562 ref varTerm 2563 def appTerm 2475 ref appTerm 2564 def appTerm 46 ref 2563 ref appTerm 2565 def appTerm 2566 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 2562 remove nil 99 ref 2566 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2564 remove nil cons 2567 def cons 2568 def 68 ref 2565 ref nil cons 2569 def cons nil cons 2570 def cons nil cons cons 2571 def 86 ref subst 2571 remove 151 ref subst nil 2568 remove 68 ref 534 ref 356 ref 2520 ref 54 ref 41 ref 2536 remove 2565 ref appTerm absTerm appTerm appTerm absTerm 2572 def appTerm 2573 def nil cons 2574 def cons nil cons cons nil cons cons 136 ref subst nil 1667 ref 2563 remove nil cons cons nil cons nil cons cons 2538 ref 2512 ref appTerm 2575 def betaConv nil 2555 remove 68 ref 2575 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 2538 remove nil cons cons 356 ref 2527 remove cons nil cons 2576 def cons nil cons cons 161 ref subst eqMp eqMp subst eqMp nil 67 ref 2574 remove cons 2570 ref cons nil cons cons 136 ref subst proveHyp nil 317 ref "p" 3 ref var 2577 def 69 ref 2572 ref 2577 ref varTerm 2578 def appTerm 2579 def appTerm 2565 ref appTerm 2580 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 2577 remove nil 99 ref 2580 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2579 ref nil cons 2581 def cons 2570 ref cons nil cons cons 2582 def 86 ref subst 2582 remove 151 ref subst 2579 ref betaConv 2579 remove assume eqMp nil 67 ref 75 ref 497 ref 2578 ref appTerm 491 ref appTerm 2583 def appTerm 54 ref 41 ref 69 ref 46 ref 2578 ref appTerm 2584 def appTerm 2565 ref appTerm absTerm 2585 def appTerm 2586 def appTerm nil cons 2587 def cons 2570 ref cons nil cons cons 2588 def 136 ref subst proveHyp 2588 ref 86 ref subst 2588 remove 151 ref subst nil 112 ref 2583 remove nil cons 2589 def cons 114 ref 2586 remove nil cons 2590 def cons nil cons cons nil cons cons 2591 def 127 ref subst 2591 remove 347 ref subst nil 67 ref 2589 remove cons 68 ref 2584 remove nil cons 2592 def cons nil cons cons nil cons cons 136 ref subst nil 11 ref 2578 remove nil cons cons nil cons nil cons cons 2542 ref 30 ref appTerm 2593 def betaConv 2594 def nil 2559 ref 68 ref 2593 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 2542 ref nil cons 2595 def cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 2596 def subst eqMp nil 67 ref 2592 remove cons 2570 remove cons nil cons cons 136 ref subst proveHyp 2585 ref 45 ref appTerm 2597 def betaConv nil 67 ref 2590 remove cons 68 ref 2597 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 2585 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 2587 remove cons 114 ref 2569 remove cons nil cons 2598 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2581 remove cons 2598 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 2572 ref 1822 ref appTerm appTerm 2565 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2573 remove appTerm 2565 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2572 remove nil cons cons 2598 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 2567 remove cons 2598 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 2558 ref cons 2599 def 114 ref 2560 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 2554 remove cons 114 ref 2556 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 2600 def nil 67 ref 506 ref 2524 ref appTerm 2601 def nil cons cons 68 ref 2525 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 510 ref 2524 remove nil cons cons 513 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2523 remove nil cons cons 68 ref 2522 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 510 ref 2521 remove nil cons cons 511 ref 2516 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 112 ref 2483 remove cons 114 ref 2484 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 2482 remove appTerm thm 1663 ref "f" 483 ref var 2602 def 1663 ref "g" 483 ref var 2603 def 329 ref nil 2472 ref 2603 ref varTerm 2604 def nil cons 2605 def cons 488 ref 2602 ref varTerm 2606 def nil cons cons 2607 def nil cons 2608 def cons nil cons cons 2510 ref subst appThm nil 11 ref 530 ref 2604 ref appTerm 2609 def nil cons cons 4 ref 530 ref 2606 ref appTerm 2610 def nil cons cons 2611 def nil cons 2612 def cons nil cons cons 700 ref subst 55 ref 41 ref 329 ref nil 2608 remove nil cons cons 2613 def 542 ref subst appThm 2614 def nil 488 ref 2605 ref cons 2615 def nil cons nil cons cons 2616 def 542 ref subst appThm absThm appThm trans appThm absThm appThm absThm appThm sym nil 510 ref 2602 ref 506 ref 2603 ref 69 ref 288 ref 356 ref 69 ref 2487 ref 2606 ref appTerm 2617 def appTerm 2487 ref 2604 ref appTerm 2618 def appTerm absTerm 2619 def appTerm 2620 def appTerm 54 ref 41 ref 69 ref 534 ref 11 ref 75 ref 1679 ref 2606 ref appTerm 2621 def appTerm 2622 def 47 ref appTerm 2623 def absTerm 2624 def appTerm appTerm 534 ref 11 ref 75 ref 1679 ref 2604 ref appTerm 2625 def appTerm 2626 def 47 ref appTerm absTerm 2627 def appTerm 2628 def appTerm 2629 def absTerm 2630 def appTerm 2631 def appTerm 2632 def absTerm 2633 def appTerm 2634 def absTerm nil cons cons nil cons nil cons cons 1695 ref subst 2602 ref nil 99 ref 2634 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 2633 remove nil cons cons nil cons nil cons cons 1695 ref subst 2603 ref nil 99 ref 2632 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2620 remove nil cons 2635 def cons 2636 def 68 ref 2631 remove nil cons 2637 def cons nil cons cons nil cons cons 2638 def 86 ref subst 2638 remove 151 ref subst nil 144 ref 2630 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2629 remove nil cons 2639 def cons nil cons nil cons cons 106 ref subst nil 317 ref 11 ref 69 ref 2624 ref 30 ref appTerm 2640 def appTerm 2628 ref appTerm 2641 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2641 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2640 ref nil cons 2642 def cons 68 ref 2628 ref nil cons 2643 def cons nil cons 2644 def cons nil cons cons 2645 def 86 ref subst 2645 remove 151 ref subst 2640 ref betaConv 2646 def 2640 remove assume eqMp nil 67 ref 2623 remove nil cons 2647 def cons 2644 remove cons nil cons cons 2648 def 136 ref subst proveHyp 2648 ref 86 ref subst 2648 remove 151 ref subst nil 112 ref 2621 ref nil cons 2649 def cons 1727 ref cons nil cons cons 2650 def 127 ref subst 2650 remove 347 ref subst 2627 ref 30 ref appTerm betaConv sym 2626 ref refl 1793 ref appThm nil 99 ref 2625 ref nil cons 2651 def cons nil cons nil cons cons 2652 def 1362 ref subst trans sym nil 67 ref 2649 ref cons 68 ref 2651 ref cons nil cons cons nil cons cons 136 ref subst 517 ref 2619 ref 1822 ref appTerm 2653 def betaConv nil 2636 remove 68 ref 2653 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 2619 remove nil cons cons 2511 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp eqMp 324 ref 317 ref 2627 remove nil cons cons 361 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 2647 remove cons 114 ref 2643 remove cons nil cons 2654 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2642 remove cons 2654 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 2624 ref 1822 ref appTerm appTerm 2628 remove appTerm absTerm appTerm nil cons cons 68 ref 2639 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2624 ref nil cons 2655 def cons 2654 remove cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp eqMp nil 112 ref 2635 remove cons 114 ref 2637 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 506 ref 2602 ref 506 ref 2603 ref 69 ref 2474 ref 2606 ref appTerm 2604 ref appTerm appTerm 686 ref 2610 ref appTerm 2656 def 2609 remove appTerm appTerm absTerm appTerm absTerm appTerm thm nil "t" 0 ref "Number.Natural.natural" typeOp nil opType 2657 def nil cons 2658 def opType 2659 def var 2660 def 12 ref 2659 ref constTerm 2661 def nil cons cons "s" 2659 ref var 2662 def 423 ref 18 ref 18 ref 2657 ref 20 ref cons opType 2663 def 2659 ref nil cons 2664 def cons opType constTerm 2665 def "v" 2657 ref var 2666 def 36 ref 18 ref 2663 ref 20 ref cons opType 2667 def constTerm 2668 def "m" 2657 ref var 2669 def 75 ref 17 ref 18 ref 2657 ref 2663 ref nil cons cons opType 2670 def constTerm 2671 def 2666 ref varTerm appTerm 2672 def 2669 ref varTerm 2673 def appTerm appTerm 2674 def "Number.Natural.<" const 2670 ref constTerm 2675 def 2673 ref appTerm 2676 def "Number.Natural.zero" const 2657 ref constTerm 2677 def appTerm 2678 def appTerm absTerm appTerm absTerm appTerm 2679 def nil cons cons nil cons cons nil cons cons "A" 2658 ref cons nil cons 2680 def 218 ref cons 2681 def 381 ref subst 2682 def subst 53 ref 2667 remove constTerm 2683 def refl 2684 def "x" 2657 ref var 2685 def 33 ref 33 ref 42 ref 18 ref 2657 ref 18 ref 2659 ref 20 ref cons opType nil cons 2686 def cons opType constTerm 2685 ref varTerm 2687 def appTerm refl 2688 def 2665 ref refl 2689 def 2666 ref 2668 ref refl 2690 def 2669 ref 2674 ref refl 2691 def 2669 ref 2678 ref absTerm 2692 def 2673 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 2692 ref 2687 ref appTerm betaConv appThm nil "p" 2663 ref var 2693 def 2692 remove nil cons cons nil cons nil cons cons 2681 ref 465 ref subst 2694 def subst eqMp nil 2669 ref 2687 ref nil cons cons nil cons nil cons cons 2695 def 2669 ref 34 ref 2678 ref appTerm 2696 def absTerm 2697 def 2673 ref appTerm 2698 def betaConv nil 2683 ref 2697 ref appTerm 2699 def axiom nil 67 ref 2699 remove nil cons cons 68 ref 2698 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref "P" 2663 remove var 2700 def 2697 remove nil cons cons 2685 ref 2673 ref nil cons cons nil cons 2701 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2696 remove nil cons cons 68 ref 23 ref 2678 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 112 ref 2678 remove nil cons cons nil cons nil cons cons 1095 ref subst eqMp subst trans appThm 2681 ref 466 ref subst appThm 554 ref trans absThm appThm 371 ref 2681 ref 376 ref subst subst 2702 def trans trans sym 105 ref eqMp 2703 def nil 17 ref 18 ref 2659 ref 2686 remove cons opType constTerm 2704 def 2679 remove appTerm 2661 ref appTerm thm 55 ref 41 ref 292 ref 4 ref 33 ref 1850 ref 684 remove subst appThm 467 ref appThm absThm appThm absThm appThm sym nil 144 ref 41 ref 288 ref 4 ref 23 ref 600 ref 1123 ref appTerm 28 ref appTerm appTerm 50 ref appTerm 2705 def absTerm 2706 def appTerm 2707 def absTerm 2708 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2707 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2706 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2705 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 2258 remove 619 ref subst nil 15 ref 4 ref 608 ref 1123 ref appTerm 2709 def 28 ref appTerm nil cons cons nil cons cons nil cons cons 381 ref subst trans 55 ref 1134 ref 33 ref nil 596 ref 1206 ref 1139 ref cons 2710 def cons nil cons cons 632 ref subst 544 ref 1188 ref appThm 2711 def 1471 ref appThm trans appThm 2164 ref appThm nil 99 ref 75 ref 1200 ref appTerm 2712 def 1154 ref appTerm 2713 def nil cons 2714 def cons nil cons nil cons cons 217 ref subst trans absThm appThm trans appThm 467 ref appThm sym nil 67 ref 54 ref 1134 ref 34 ref 2713 remove appTerm 2715 def absTerm 2716 def appTerm 2717 def nil cons 2718 def cons 2719 def 68 ref 468 ref cons nil cons cons nil cons cons 2720 def 348 ref subst 2720 ref 86 ref subst 2720 remove 151 ref subst 2042 remove 2436 remove 2437 remove 2716 ref 45 ref appTerm 2721 def betaConv nil 2719 remove 68 ref 2721 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 2716 remove nil cons cons 2722 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 34 ref 75 ref 222 ref appTerm 2723 def 49 ref appTerm 2724 def appTerm nil cons 2725 def cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 99 ref 2725 remove cons nil cons nil cons cons 1077 ref subst nil 99 ref 2724 remove nil cons cons nil cons nil cons cons 210 ref subst trans 544 ref 224 ref appThm 2726 def 1741 ref appThm 941 ref trans trans sym 105 ref eqMp eqMp eqMp 2456 remove deductAntisym eqMp eqMp eqMp nil 112 ref 2718 ref cons 114 ref 468 ref cons 2727 def nil cons 2728 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 2717 ref appTerm 50 ref appTerm nil cons cons 68 ref 69 ref 50 ref appTerm 2729 def 2717 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1941 ref 68 ref 2718 ref cons nil cons cons nil cons cons 2730 def 86 ref subst 2730 remove 151 ref subst nil 2722 remove nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 2715 remove nil cons cons nil cons nil cons cons 106 ref subst nil 112 ref 2714 ref cons 2731 def nil cons nil cons cons 1070 ref subst nil 67 ref 2714 remove cons 1072 ref cons nil cons cons 2732 def 86 ref subst 2732 remove 151 ref subst 2233 remove 2232 remove 347 ref subst nil 2220 ref 1072 ref cons nil cons cons 136 ref subst 2238 ref 1077 ref subst 35 ref 2230 ref 1945 ref trans appThm 400 ref trans trans sym 105 ref eqMp eqMp 2733 def proveHyp proveHyp eqMp nil 2731 remove 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp nil 1950 ref 114 ref 2718 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 2734 def eqMp 2735 def nil 54 ref 41 ref 288 ref 4 ref 23 ref 601 ref 1123 ref appTerm appTerm 50 ref appTerm absTerm 2736 def appTerm 2737 def absTerm 2738 def appTerm 2739 def thm 55 ref 41 ref 292 ref 4 ref 33 ref 640 ref 1205 ref appThm 1394 ref appThm 1850 ref 2364 ref 30 ref appTerm 2740 def betaConv 2366 ref 28 ref appTerm 2741 def betaConv 1951 remove nil 67 ref 2367 remove nil cons cons 68 ref 2741 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2366 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2365 remove nil cons cons 68 ref 2740 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2364 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp subst 2736 ref 28 ref appTerm 2742 def betaConv 2738 ref 45 ref appTerm 2743 def betaConv 2735 remove nil 67 ref 2739 remove nil cons cons 68 ref 2743 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 2738 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2737 remove nil cons cons 68 ref 2742 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2736 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 2744 def trans trans 2745 def appThm 467 ref appThm nil 166 ref 468 remove cons nil cons nil cons cons 225 ref subst 2746 def trans absThm appThm 526 ref trans absThm appThm 377 ref trans sym 105 ref eqMp 2747 def nil 54 ref 41 ref 288 ref 4 ref 23 ref 1116 remove 28 ref appTerm 2748 def appTerm 50 ref appTerm 2749 def absTerm appTerm absTerm appTerm thm 2734 remove nil 54 ref 2708 remove appTerm thm 292 ref 4 ref 292 ref 11 ref 640 ref nil 1647 ref 1651 ref 30 ref appTerm 486 ref appTerm 2750 def nil cons cons nil cons nil cons cons 2751 def 1750 ref subst 1751 ref nil 1648 remove 638 ref cons nil cons cons 2752 def 1750 ref subst 641 ref refl 528 ref appThm 1037 ref 1753 ref subst trans trans appThm trans appThm 610 ref refl appThm nil 356 ref 648 ref cons nil cons 2753 def nil cons cons 1108 ref subst trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 288 ref 11 ref 27 ref 485 ref 1652 ref 2750 remove appTerm 2754 def appTerm appTerm 610 ref appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref 292 ref 11 ref 640 ref 2751 remove 1836 ref subst 1837 remove 2752 remove 1836 remove subst 1320 ref refl 555 remove appThm 1037 ref 1839 remove subst trans trans appThm trans appThm 1230 ref refl appThm nil 356 ref 1264 ref cons nil cons nil cons cons 1108 ref subst trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 288 ref 11 ref 27 ref 530 ref 2754 remove appTerm appTerm 1230 ref appTerm absTerm appTerm absTerm appTerm thm 1429 ref 1403 ref 55 ref 41 ref 1433 ref refl 2755 def 1110 remove 4 ref 1433 ref 1407 ref 1161 ref appTerm 2756 def appTerm 1120 ref 18 ref 721 ref 18 ref 731 ref 817 ref cons opType nil cons 2757 def cons opType constTerm 2758 def 1412 ref appTerm 2759 def 1408 ref appTerm 2760 def appTerm absTerm 2761 def 28 ref appTerm 2762 def betaConv 41 ref 288 ref 2761 ref appTerm 2763 def absTerm 2764 def 45 ref appTerm 2765 def betaConv 1403 ref 54 ref 2764 ref appTerm 2766 def absTerm 2767 def 1406 ref appTerm 2768 def betaConv 1429 ref 1403 ref 55 ref 41 ref 292 ref 4 ref nil 783 ref 2760 remove nil cons cons 1548 ref 2756 remove nil cons cons nil cons cons nil cons cons 1551 ref subst 758 ref 872 ref 33 ref 1627 ref nil 2162 remove nil cons cons 1456 ref subst 1457 ref 1436 ref 826 ref 795 ref 1458 ref 40 ref 1134 ref 544 ref 1260 ref appThm 2769 def 1411 ref 2439 ref appTerm 2770 def refl appThm absThm appThm appThm absThm appThm absThm appThm trans appThm nil 1461 ref 1436 ref 794 ref 795 ref 1440 ref 39 ref 1134 ref 75 ref 1296 remove appTerm 2771 def 2770 ref appTerm absTerm 2772 def appTerm 2773 def appTerm absTerm appTerm absTerm 2774 def nil cons cons nil cons nil cons cons 1631 ref subst 2774 remove 910 ref appTerm betaConv trans trans appThm nil 2405 ref 795 ref 2447 ref cons 2775 def nil cons 2776 def cons nil cons cons 897 ref 1178 ref subst subst 251 ref 2412 ref appTerm 2777 def refl 1627 ref 1456 remove appThm nil 1461 ref 1444 ref nil cons cons nil cons nil cons cons 1631 ref subst 1444 remove 910 ref appTerm betaConv trans trans appThm trans appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 54 ref 41 ref 288 ref 4 ref 757 ref 872 ref 23 ref 794 ref 795 ref 75 ref 2411 ref 799 ref appTerm 2778 def appTerm 2779 def 2773 ref appTerm absTerm appTerm appTerm 2777 remove 794 ref 795 ref 2779 ref 1443 ref appTerm absTerm appTerm appTerm appTerm absTerm appTerm 2780 def absTerm 2781 def appTerm 2782 def absTerm 2783 def appTerm 2784 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 2784 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 2783 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 2782 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 2781 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 2780 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref "x'" 721 ref var 2785 def 23 ref 794 ref 795 ref 75 ref 853 ref 2785 ref varTerm 2786 def appTerm 2787 def 799 ref appTerm 2788 def appTerm 2789 def 2773 ref appTerm 2790 def absTerm 2791 def appTerm 2792 def appTerm 251 ref 2787 ref 1412 ref appTerm 2793 def appTerm 794 ref 795 ref 2789 remove 1443 ref appTerm 2794 def absTerm 2795 def appTerm 2796 def appTerm 2797 def appTerm 2798 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 2785 ref nil 99 ref 2798 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2792 ref nil cons 2799 def cons 68 ref 2797 ref nil cons 2800 def cons nil cons 2801 def cons nil cons cons 348 ref subst nil 871 ref 795 ref 69 ref 2791 ref 799 ref appTerm 2802 def appTerm 2797 ref appTerm 2803 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 2803 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2802 ref nil cons 2804 def cons 2801 ref cons nil cons cons 2805 def 86 ref subst 2805 remove 151 ref subst 2802 ref betaConv 2806 def 2802 remove assume eqMp nil 67 ref 2790 remove nil cons 2807 def cons 2801 ref cons nil cons cons 2808 def 136 ref subst proveHyp 2808 ref 86 ref subst 2808 remove 151 ref subst nil 112 ref 2788 ref nil cons cons 2809 def 114 ref 2773 ref nil cons 2810 def cons nil cons cons nil cons cons 2811 def 127 ref subst 2811 remove 347 ref subst nil 67 ref 2810 remove cons 2801 ref cons nil cons cons 136 ref subst nil 144 ref "x''" 1 ref var 2812 def 69 ref 2772 ref 2812 ref varTerm 2813 def appTerm 2814 def appTerm 2797 ref appTerm 2815 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 2812 ref nil 99 ref 2815 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2814 ref nil cons 2816 def cons 2801 ref cons nil cons cons 2817 def 86 ref subst 2817 remove 151 ref subst 2814 ref betaConv 2814 remove assume eqMp nil 67 ref 75 ref 251 ref 220 ref 2813 ref appTerm 45 ref appTerm 2818 def appTerm 2819 def 44 ref 2813 ref appTerm 2820 def 28 ref appTerm 2821 def appTerm 2822 def appTerm 1411 ref 1406 ref 2813 ref appTerm 2823 def appTerm 2824 def appTerm nil cons 2825 def cons 2801 ref cons nil cons cons 2826 def 136 ref subst proveHyp 2826 ref 86 ref subst 2826 remove 151 ref subst nil 112 ref 2822 remove nil cons cons 114 ref 2824 ref nil cons cons nil cons 2827 def cons nil cons cons 2828 def 127 ref subst 2828 remove 347 ref subst nil 67 ref 2821 ref nil cons 2829 def cons 2830 def 2801 ref cons nil cons cons 2831 def 86 ref subst 2831 remove 151 ref subst 2795 ref 799 ref appTerm 2832 def betaConv 2833 def sym 544 ref 853 ref refl 2834 def 2788 remove assume 2824 ref assume 2835 def trans 2836 def appThm 2835 ref appThm nil 872 ref 2823 ref nil cons cons nil cons 2837 def nil cons cons 940 ref subst 2838 def trans appThm 2839 def 40 ref 41 ref 1357 ref 2834 ref 2835 remove appThm 2840 def 1412 ref refl 2841 def appThm appThm absThm appThm appThm nil 99 ref 39 ref 41 ref 621 ref 853 ref 2823 ref appTerm 2842 def 1412 ref appTerm appTerm absTerm 2843 def appTerm nil cons cons nil cons nil cons cons 562 ref subst trans sym 2843 ref 2813 ref appTerm betaConv sym 544 ref nil 99 ref 2829 ref cons nil cons nil cons cons 106 ref subst 2821 ref assume eqMp 2844 def appThm 2838 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 2843 remove nil cons cons 41 ref 2813 ref nil cons 2845 def cons nil cons 2846 def cons nil cons cons 594 ref subst proveHyp eqMp eqMp 870 ref 871 ref 2795 ref nil cons cons 2847 def 1462 ref cons nil cons cons 594 ref subst proveHyp nil 112 ref 2793 ref nil cons 2848 def cons 2849 def 114 ref 2796 ref nil cons cons 2850 def nil cons cons nil cons cons 1816 ref subst proveHyp eqMp nil 112 ref 2829 ref cons 2851 def 114 ref 2800 ref cons nil cons 2852 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 2818 ref nil cons 2853 def cons 2801 remove cons nil cons cons 2854 def 86 ref subst 2854 remove 151 ref subst 1259 ref 2834 ref 2836 remove 1406 ref refl 2855 def 2818 remove assume appThm trans appThm 2856 def 2841 ref appThm 2453 ref trans appThm 826 ref "_10582" 721 ref var 2857 def 544 ref 2856 remove 2857 remove varTerm 2858 def refl appThm appThm 39 ref 41 ref 621 ref 853 ref 2858 remove appTerm 1412 ref appTerm appTerm absTerm appTerm refl appThm absThm appThm appThm nil 99 ref 794 ref 795 ref 75 ref 2438 ref 799 ref appTerm 2859 def appTerm 2860 def 1443 ref appTerm absTerm appTerm nil cons cons nil cons nil cons cons 1351 ref subst trans sym 105 ref eqMp eqMp nil 112 ref 2853 ref cons 2861 def 2852 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 2861 remove 114 ref 2829 remove cons 2862 def 261 ref 2800 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 2825 remove cons 2852 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2816 remove cons 2852 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 1134 ref 69 ref 2772 ref 1137 ref appTerm appTerm 2797 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2773 remove appTerm 2797 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 2772 remove nil cons cons 2852 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 2807 remove cons 2852 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2804 remove cons 2852 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 2791 ref 910 ref appTerm appTerm 2797 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2792 ref appTerm 2797 ref appTerm nil cons 2863 def cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 2791 ref nil cons cons 2864 def 2852 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 2863 remove cons 68 ref 69 ref 2797 remove appTerm 2792 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 2800 ref cons 68 ref 2799 ref cons nil cons 2865 def cons nil cons cons 2866 def 86 ref subst 2866 remove 151 ref subst nil 871 ref 795 ref 69 ref 2832 ref appTerm 2792 ref appTerm 2867 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 2867 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2832 ref nil cons 2868 def cons 2865 ref cons nil cons cons 2869 def 86 ref subst 2869 remove 151 ref subst 2833 remove 2832 remove assume eqMp nil 67 ref 2794 remove nil cons 2870 def cons 2865 ref cons nil cons cons 2871 def 136 ref subst proveHyp 2871 ref 86 ref subst 2871 remove 151 ref subst nil 2809 remove 114 ref 1464 ref cons nil cons cons nil cons cons 2872 def 127 ref subst 2872 remove 347 ref subst nil 67 ref 1464 remove cons 2865 ref cons nil cons cons 136 ref subst nil 144 ref 2812 ref 69 ref 1442 ref 2813 ref appTerm 2873 def appTerm 2792 ref appTerm 2874 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 2812 ref nil 99 ref 2874 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2873 ref nil cons 2875 def cons 2865 ref cons nil cons cons 2876 def 86 ref subst 2876 remove 151 ref subst 2873 ref betaConv 2873 remove assume eqMp nil 67 ref 75 ref 2821 ref appTerm 2824 remove appTerm nil cons 2877 def cons 2865 ref cons nil cons cons 2878 def 136 ref subst proveHyp 2878 ref 86 ref subst 2878 remove 151 ref subst nil 2851 remove 2827 remove cons nil cons cons 2879 def 127 ref subst 2879 remove 347 ref subst 2806 remove sym 2839 remove 40 ref 1134 ref 2771 ref refl 2880 def 2840 remove 2439 ref refl 2881 def appThm appThm absThm appThm appThm nil 99 ref 39 ref 1134 ref 2771 ref 2842 remove 2439 ref appTerm appTerm absTerm 2882 def appTerm nil cons cons nil cons nil cons cons 562 ref subst trans sym 2882 ref 2813 ref appTerm betaConv sym 544 ref 2819 remove refl 2844 ref appThm nil 99 ref 2853 remove cons nil cons nil cons cons 1612 ref subst trans appThm 2838 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 2882 remove nil cons cons 2846 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 870 ref 2864 ref 1462 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 2877 remove cons 114 ref 2799 ref cons nil cons 2883 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2875 remove cons 2883 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 1134 ref 69 ref 1442 ref 1137 ref appTerm appTerm 2792 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 1443 remove appTerm 2792 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 1442 remove nil cons cons 2883 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 2870 remove cons 2883 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2868 remove cons 2883 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 2795 remove 910 ref appTerm appTerm 2792 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2796 remove appTerm 2792 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 2847 remove 2883 ref cons nil cons cons 929 ref subst eqMp nil 67 ref 2848 ref cons 2865 remove cons nil cons cons 2884 def 86 ref subst 2884 remove 151 ref subst 2791 remove 2786 ref appTerm betaConv sym 544 ref nil 872 ref 2786 ref nil cons cons nil cons 2885 def nil cons cons 940 ref subst appThm 40 ref 1134 ref 2880 remove 2834 ref 2793 ref assume appThm 2881 ref appThm appThm absThm appThm appThm nil 99 ref 39 ref 1134 ref 2771 ref 2440 ref appTerm absTerm 2886 def appTerm nil cons cons nil cons nil cons cons 562 ref subst trans sym 2886 ref 45 ref appTerm betaConv sym 544 ref 1842 remove appThm 2453 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 2886 remove nil cons cons 311 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 870 ref 2864 remove 2885 remove cons nil cons cons 594 ref subst proveHyp eqMp nil 2849 ref 2883 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 2849 remove 2850 remove 261 ref 2799 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 2800 remove cons 2883 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 2887 def nil 67 ref 1422 ref 2767 ref appTerm 2888 def nil cons cons 68 ref 2768 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 2767 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2766 remove nil cons cons 68 ref 2765 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 2764 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2763 remove nil cons cons 68 ref 2762 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2761 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 2889 def subst 2759 ref refl 1633 ref 1406 ref appTerm 2890 def betaConv 1632 remove nil 67 ref 1634 remove nil cons cons 68 ref 2890 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 1633 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp 2891 def appThm trans 2892 def appThm 2759 remove 1509 ref appTerm 2893 def refl appThm nil 821 ref 2893 ref nil cons cons nil cons nil cons cons 1606 ref subst trans absThm appThm 377 ref trans absThm appThm 1466 ref trans sym 105 ref eqMp 2894 def nil 1422 ref 1403 ref 54 ref 41 ref 1433 ref 1407 ref 1123 ref appTerm 2895 def appTerm 2893 ref appTerm 2896 def absTerm appTerm absTerm appTerm thm 1429 ref 1403 ref 1663 ref 488 ref nil 783 ref 529 ref 18 ref 0 ref 817 ref opType 2897 def 817 ref cons opType 2898 def constTerm 2899 def 1389 ref 18 ref 1404 ref 18 ref 483 ref 2897 ref nil cons 2900 def cons opType nil cons cons opType constTerm 1407 ref appTerm 2901 def 491 ref appTerm 2902 def appTerm 2903 def nil cons cons 1548 ref 1407 ref 532 ref appTerm 2904 def nil cons cons nil cons cons nil cons cons 1551 ref subst absThm appThm absThm appThm sym 1429 ref 1403 ref 1663 ref 488 ref 758 ref 872 ref 33 ref nil 4 ref 2056 remove cons 2905 def 2408 ref cons nil cons cons 1469 ref subst 40 ref 41 ref 2413 ref refl 2906 def 542 ref appThm absThm appThm trans appThm nil "s" 2897 ref var 2907 def 2902 ref nil cons cons nil cons nil cons cons 897 ref 542 ref subst 2908 def subst 36 ref 811 ref constTerm 2909 def refl 2910 def 783 ref 544 ref nil "f" 1404 remove var 1407 ref nil cons cons 2911 def "y" 731 ref var 2912 def 822 ref cons nil cons 2913 def cons 2914 def nil cons cons 323 ref "B" 817 ref cons 2915 def nil cons 2916 def cons 218 ref cons 2917 def 1469 ref subst 2918 def subst appThm 1553 ref refl 2919 def appThm absThm appThm trans appThm absThm appThm absThm appThm absThm appThm sym 1429 ref 1403 ref 1663 ref 488 ref 758 ref 872 ref 23 ref 39 ref 41 ref 2413 ref 2073 ref appTerm absTerm 2920 def appTerm 2921 def appTerm 2922 def refl 2923 def 2910 ref 783 ref 33 ref 544 ref 543 ref 356 ref 356 ref 75 ref 1515 ref 1407 ref 1822 ref appTerm 2924 def appTerm 2925 def appTerm 2926 def 2488 ref appTerm 2927 def absTerm 2928 def 1822 ref appTerm betaConv 2929 def absThm appThm appThm 2919 ref appThm appThm 543 ref 356 ref 544 ref 2929 remove appThm 2919 ref appThm absThm appThm appThm nil "p" 24 ref var 2930 def 2928 remove nil cons cons 68 ref 1555 ref cons nil cons 2931 def cons nil cons cons 325 ref 68 ref 23 ref 75 ref 60 ref appTerm 72 ref appTerm appTerm 39 ref 41 ref 75 ref 58 ref appTerm 2932 def 72 ref appTerm absTerm appTerm appTerm absTerm 2933 def 72 ref appTerm 2934 def betaConv 56 ref 198 ref 2933 ref appTerm 2935 def absTerm 2936 def 57 ref appTerm 2937 def betaConv nil 65 ref 2936 ref appTerm 2938 def axiom nil 67 ref 2938 remove nil cons cons 68 ref 2937 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 2936 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2935 remove nil cons cons 68 ref 2934 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 2933 remove nil cons cons 1596 ref cons nil cons cons 161 ref subst eqMp eqMp 2939 def subst 2940 def subst eqMp absThm appThm appThm absThm appThm absThm appThm absThm appThm sym 1429 ref 1403 ref 1663 ref 488 ref 758 ref 872 ref 2923 ref 33 ref 2910 ref 783 ref 543 ref 356 ref 783 ref 356 ref 75 ref 2927 remove appTerm 1553 ref appTerm absTerm 2941 def absTerm 2942 def 789 ref appTerm betaConv 1822 ref refl 2943 def appThm 2941 remove 1822 ref appTerm betaConv trans 2944 def absThm appThm absThm appThm appThm 543 ref 356 ref 2910 ref 783 ref 2944 remove absThm appThm absThm appThm appThm nil "p" 18 ref 731 ref 25 ref cons opType var 2945 def 2942 remove nil cons cons nil cons nil cons cons "B" 322 ref cons 2946 def 819 ref cons 218 ref cons 2947 def 837 ref 23 ref 39 ref 41 ref 794 ref 795 ref 840 ref absTerm 2948 def appTerm absTerm appTerm appTerm 794 ref 795 ref 39 ref 41 ref 840 ref absTerm 2949 def appTerm absTerm appTerm appTerm absTerm 2950 def 838 ref appTerm 2951 def betaConv nil 53 ref 18 ref 18 ref 836 ref 20 ref cons opType 2952 def 20 ref cons opType constTerm 2953 def 2950 ref appTerm 2954 def axiom nil 67 ref 2954 remove nil cons cons 68 ref 2951 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 836 ref nil cons cons nil cons 2955 def "P" 2952 remove var 2956 def 2950 remove nil cons cons "x" 836 ref var 2957 def 838 ref nil cons cons nil cons 2958 def cons nil cons cons 161 ref subst eqMp eqMp 2959 def subst subst eqMp appThm absThm appThm absThm appThm absThm appThm sym 1429 ref 1403 ref 1663 ref 488 ref 758 ref 872 ref 2923 remove 543 ref 356 ref 2910 ref 783 ref nil 1272 ref 1555 ref cons 659 ref 2496 ref cons 661 ref 2925 ref nil cons 2960 def cons nil cons cons cons nil cons cons 1977 ref subst absThm appThm 33 ref 2910 ref 783 ref 2926 ref refl 783 ref 2520 ref 1553 ref appTerm absTerm 2961 def 789 ref appTerm betaConv appThm absThm appThm appThm 2961 ref 2924 ref appTerm betaConv appThm nil "p" 803 ref var 2962 def 2961 remove nil cons cons "a" 731 ref var 2924 ref nil cons cons nil cons 2963 def cons nil cons cons 1599 ref 452 ref 23 ref 39 ref 41 ref 75 ref 221 ref 453 ref appTerm 2964 def appTerm 2965 def 58 ref appTerm absTerm appTerm appTerm 457 ref appTerm absTerm 2966 def 453 ref appTerm 2967 def betaConv 56 ref 54 ref 2966 ref appTerm 2968 def absTerm 2969 def 57 ref appTerm 2970 def betaConv nil 65 ref 2969 ref appTerm 2971 def axiom nil 67 ref 2971 remove nil cons cons 68 ref 2970 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 2969 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2968 remove nil cons cons 68 ref 2967 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 2966 remove nil cons cons 868 ref cons nil cons cons 161 ref subst eqMp eqMp 2972 def subst subst eqMp 2526 ref nil 2503 ref 2408 ref cons nil cons cons 1469 ref subst appThm trans trans absThm appThm appThm absThm appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 506 ref 488 ref 757 ref 872 ref 2922 remove 534 ref 356 ref 2520 ref 39 ref 41 ref 2413 ref 2535 ref appTerm absTerm appTerm appTerm absTerm 2973 def appTerm 2974 def appTerm 2975 def absTerm 2976 def appTerm 2977 def absTerm 2978 def appTerm 2979 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 2979 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 2978 remove nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 2977 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 2976 remove nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 2975 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2921 ref nil cons 2980 def cons 68 ref 2974 ref nil cons 2981 def cons nil cons 2982 def cons nil cons cons 348 ref subst nil 144 ref 1134 ref 69 ref 2920 ref 1137 ref appTerm 2983 def appTerm 2974 ref appTerm 2984 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 2984 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2983 ref nil cons 2985 def cons 2982 ref cons nil cons cons 2986 def 86 ref subst 2986 remove 151 ref subst 2983 ref betaConv 2983 remove assume eqMp nil 67 ref 2460 ref 534 ref 11 ref 2063 ref 1261 ref appTerm 2987 def absTerm 2988 def appTerm 2989 def appTerm nil cons 2990 def cons 2982 ref cons nil cons cons 2991 def 136 ref subst proveHyp 2991 ref 86 ref subst 2991 remove 151 ref subst nil 2467 ref 114 ref 2989 ref nil cons 2992 def cons nil cons cons nil cons cons 2993 def 127 ref subst 2993 remove 347 ref subst nil 67 ref 2992 remove cons 2982 ref cons nil cons cons 136 ref subst nil 317 ref 11 ref 69 ref 2988 ref 30 ref appTerm 2994 def appTerm 2974 ref appTerm 2995 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 2995 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2994 ref nil cons 2996 def cons 2982 ref cons nil cons cons 2997 def 86 ref subst 2997 remove 151 ref subst 2994 ref betaConv 2994 remove assume eqMp nil 67 ref 2987 remove nil cons 2998 def cons 2982 remove cons nil cons cons 2999 def 136 ref subst proveHyp 2999 ref 86 ref subst 2999 remove 151 ref subst nil 2085 ref 114 ref 1273 ref cons nil cons 3000 def cons nil cons cons 3001 def 127 ref subst 3001 remove 347 ref subst 2973 ref 30 ref appTerm betaConv sym 2090 remove 40 ref 41 ref 544 ref 2834 ref 2459 remove assume 3002 def appThm 3003 def 2841 ref appThm appThm 368 ref appThm absThm appThm appThm nil 99 ref 39 ref 41 ref 75 ref 853 ref 2439 ref appTerm 3004 def 1412 ref appTerm appTerm 47 ref appTerm absTerm 3005 def appTerm nil cons cons nil cons nil cons cons 562 ref subst trans sym 3005 ref 1137 ref appTerm betaConv sym 544 ref nil 872 ref 2439 ref nil cons cons nil cons 3006 def nil cons cons 940 ref subst 3007 def appThm nil 99 ref 1273 ref cons nil cons nil cons cons 3008 def 106 ref subst 1261 ref assume eqMp 3009 def appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 3005 remove nil cons cons 1139 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 324 ref 317 ref 2973 ref nil cons cons 3010 def 361 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 2998 remove cons 114 ref 2981 remove cons nil cons 3011 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2996 remove cons 3011 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 2988 ref 1822 ref appTerm appTerm 2974 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2989 remove appTerm 2974 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2988 remove nil cons cons 3011 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 2990 remove cons 3011 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 2985 remove cons 3011 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 2920 ref 45 ref appTerm appTerm 2974 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2921 ref appTerm 2974 ref appTerm nil cons 3012 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 2920 ref nil cons cons 3013 def 3011 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 3012 remove cons 68 ref 69 ref 2974 remove appTerm 2921 ref appTerm nil cons cons nil cons 3014 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 2490 ref 69 ref 2973 ref 2491 ref appTerm 3015 def appTerm 2921 ref appTerm 3016 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 2490 ref nil 99 ref 3016 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3015 ref nil cons 3017 def cons 68 ref 2980 ref cons nil cons 3018 def cons nil cons cons 3019 def 86 ref subst 3019 remove 151 ref subst 3015 ref betaConv 3015 remove assume eqMp nil 67 ref 75 ref 2492 remove 491 ref appTerm 3020 def appTerm 39 ref 41 ref 2413 ref 46 ref 2491 ref appTerm 3021 def appTerm absTerm 3022 def appTerm 3023 def appTerm nil cons 3024 def cons 3018 ref cons nil cons cons 3025 def 136 ref subst proveHyp 3025 ref 86 ref subst 3025 remove 151 ref subst nil 112 ref 3020 ref nil cons 3026 def cons 114 ref 3023 ref nil cons 3027 def cons nil cons cons nil cons cons 3028 def 127 ref subst 3028 remove 347 ref subst nil 67 ref 3027 remove cons 3018 ref cons nil cons cons 136 ref subst nil 144 ref 2812 ref 69 ref 3022 ref 2813 ref appTerm 3029 def appTerm 2921 ref appTerm 3030 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 2812 ref nil 99 ref 3030 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3029 ref nil cons 3031 def cons 3018 ref cons nil cons cons 3032 def 86 ref subst 3032 remove 151 ref subst 3029 ref betaConv 3029 remove assume eqMp nil 67 ref 75 ref 2411 ref 2823 ref appTerm 3033 def appTerm 3034 def 2820 ref 2491 ref appTerm 3035 def appTerm nil cons 3036 def cons 3018 remove cons nil cons cons 3037 def 136 ref subst proveHyp 3037 ref 86 ref subst 3037 remove 151 ref subst nil 112 ref 3033 ref nil cons cons 3038 def 114 ref 3035 ref nil cons 3039 def cons nil cons cons nil cons cons 3040 def 127 ref subst 3040 remove 347 ref subst 2920 remove 2813 ref appTerm betaConv sym 544 ref 2834 ref 3033 remove assume 3041 def appThm 2823 ref refl 3042 def appThm 2838 ref trans appThm 534 ref 11 ref 2063 ref 2820 remove 30 ref appTerm 3043 def appTerm absTerm 3044 def appTerm 3045 def refl appThm nil 99 ref 3045 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym 3044 ref 2491 ref appTerm betaConv sym 544 ref nil 99 ref 3026 ref cons nil cons nil cons cons 106 ref subst 3020 ref assume eqMp appThm 3046 def nil 99 ref 3039 remove cons nil cons nil cons cons 106 ref subst 3035 remove assume eqMp appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 3044 remove nil cons cons 356 ref 2491 ref nil cons 3047 def cons nil cons 3048 def cons nil cons cons 594 ref subst proveHyp eqMp eqMp 309 ref 3013 remove 2846 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 3036 remove cons 114 ref 2980 remove cons nil cons 3049 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 3031 remove cons 3049 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 3022 ref 45 ref appTerm appTerm 2921 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 3023 remove appTerm 2921 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3022 remove nil cons cons 3049 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 3024 remove cons 3049 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 3017 remove cons 3049 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 2973 remove 1822 ref appTerm appTerm 2921 remove appTerm absTerm appTerm nil cons cons 3014 remove cons nil cons cons 136 ref subst proveHyp 324 ref 3010 remove 3049 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp eqMp eqMp nil 1422 ref 1403 ref 506 ref 488 ref 1433 ref 2904 remove appTerm 2903 remove appTerm absTerm appTerm absTerm appTerm thm nil 1453 ref 1403 ref 506 ref 488 ref 685 ref 1432 ref constTerm 3050 def 1407 ref 492 ref appTerm 3051 def appTerm 482 ref 2898 remove constTerm 3052 def 2902 remove appTerm 3053 def appTerm 3054 def absTerm 3055 def appTerm 3056 def absTerm 3057 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 3056 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 3055 remove nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 3054 remove nil cons cons nil cons nil cons cons 106 ref subst nil 783 ref 3053 ref nil cons cons 1548 ref 3051 ref nil cons cons nil cons cons nil cons cons 3058 def 897 ref 700 ref subst 3059 def subst 758 ref 872 ref 329 ref nil 2530 ref 2408 ref cons nil cons cons 1469 ref subst appThm 1627 ref nil 2911 remove nil cons 3060 def nil cons cons 323 ref "B" 722 ref cons nil cons 3061 def cons 218 ref cons nil 783 ref 1435 ref 1436 ref 794 ref 795 ref 1440 ref 54 ref 41 ref 690 ref 806 ref "f" 18 ref 1 ref 817 ref cons opType 3062 def var 3063 def varTerm 3064 def 45 ref appTerm 3065 def appTerm 3066 def appTerm absTerm 3067 def appTerm 3068 def appTerm absTerm appTerm absTerm 3069 def appTerm 3070 def nil cons cons 1548 ref 3052 ref 1389 ref 18 ref 3062 ref 18 ref 3 ref 2900 ref cons opType nil cons cons opType constTerm 3071 def 3064 ref appTerm 28 ref appTerm 3072 def appTerm 3073 def nil cons cons nil cons cons nil cons cons 1551 ref subst sym 758 ref 872 ref 33 ref nil 2907 ref 3072 ref nil cons cons nil cons nil cons cons 3074 def 897 ref 516 ref subst 3075 def subst 1522 ref 783 ref 329 ref nil 2913 remove nil cons cons 308 ref 2916 remove cons 218 ref cons 3076 def 1469 ref subst subst 3077 def appThm 2919 ref appThm absThm appThm trans appThm nil 1461 ref 3069 ref nil cons cons nil cons nil cons cons 1631 ref subst 3069 remove 910 ref appTerm betaConv trans appThm absThm appThm sym nil 871 ref 872 ref 23 ref 812 ref 783 ref 69 ref 39 ref 41 ref 75 ref 1515 ref 3065 ref appTerm appTerm 3078 def 49 ref appTerm absTerm 3079 def appTerm 3080 def appTerm 3081 def 1553 ref appTerm 3082 def absTerm 3083 def appTerm 3084 def appTerm 794 ref 795 ref 2779 ref 3068 ref appTerm 3085 def absTerm 3086 def appTerm 3087 def appTerm 3088 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 3088 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3084 ref nil cons 3089 def cons 3090 def 68 ref 3087 ref nil cons 3091 def cons nil cons cons nil cons cons 3092 def 348 ref subst 3092 ref 86 ref subst 3092 remove 151 ref subst 3086 ref 910 ref appTerm betaConv sym 544 ref 940 ref appThm 3093 def 54 ref 41 ref 690 ref 1552 ref 3065 ref appTerm 3094 def appTerm absTerm appTerm 3095 def refl appThm nil 99 ref 3095 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym nil 144 ref 1134 ref 2236 ref 1552 ref 3064 remove 1137 ref appTerm 3096 def appTerm 3097 def appTerm 3098 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 3098 remove nil cons cons nil cons nil cons cons 106 ref subst nil 2220 ref 68 ref 3097 ref nil cons 3099 def cons nil cons 3100 def cons nil cons cons 3101 def 86 ref subst 3101 remove 151 ref subst 41 ref 75 ref 1433 ref 3096 ref appTerm 3065 ref appTerm appTerm 3102 def 49 ref appTerm absTerm 3103 def 1137 ref appTerm betaConv sym 544 ref nil 821 ref 3096 ref nil cons 3104 def cons nil cons 3105 def nil cons cons 1606 ref subst appThm 3106 def 2239 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 3103 ref nil cons cons 1139 ref cons nil cons cons 594 ref subst proveHyp 3107 def nil 67 ref 39 ref 3103 remove appTerm 3108 def nil cons 3109 def cons 3100 ref cons nil cons cons 136 ref subst proveHyp nil 783 ref 3104 remove cons nil cons nil cons cons 3110 def 3083 ref 789 ref appTerm 3111 def betaConv nil 3090 remove 68 ref 3111 remove nil cons cons nil cons cons nil cons cons 136 ref subst 819 ref 820 ref 3083 remove nil cons cons 3112 def 823 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 2223 ref 114 ref 3099 remove cons nil cons 3113 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 870 ref 871 ref 3086 ref nil cons cons 3114 def 872 ref 2407 ref cons nil cons 3115 def cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 3089 ref cons 114 ref 3091 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 3084 ref appTerm 3087 ref appTerm nil cons cons 68 ref 69 ref 3087 remove appTerm 3084 ref appTerm nil cons cons nil cons 3116 def cons nil cons cons 151 ref subst proveHyp nil 871 ref 795 ref 69 ref 3086 ref 799 ref appTerm 3117 def appTerm 3084 ref appTerm 3118 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 3118 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3117 ref nil cons 3119 def cons 68 ref 3089 ref cons nil cons 3120 def cons nil cons cons 3121 def 86 ref subst 3121 remove 151 ref subst 3117 ref betaConv 3117 remove assume eqMp nil 67 ref 3085 remove nil cons 3122 def cons 3120 remove cons nil cons cons 3123 def 136 ref subst proveHyp 3123 ref 86 ref subst 3123 remove 151 ref subst nil 112 ref 2778 ref nil cons 3124 def cons 3125 def 114 ref 3068 remove nil cons 3126 def cons nil cons cons nil cons cons 3127 def 127 ref subst 3127 remove 347 ref subst nil 3112 remove nil cons nil cons cons 1599 ref 326 ref subst 3128 def subst 783 ref nil 99 ref 3082 remove nil cons 3129 def cons nil cons nil cons cons 106 ref subst nil 144 ref 1134 ref 69 ref 3079 ref 1137 ref appTerm 3130 def appTerm 3131 def 1553 ref appTerm 3132 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 3132 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3130 ref nil cons 3133 def cons 3134 def 2931 ref cons nil cons cons 3135 def 86 ref subst 3135 remove 151 ref subst 3130 ref betaConv 3130 remove assume eqMp 3136 def nil 67 ref 75 ref 1515 ref 3096 ref appTerm 3137 def appTerm 3138 def 1154 ref appTerm nil cons 3139 def cons 3140 def 2931 ref cons nil cons cons 3141 def 136 ref subst proveHyp 3141 ref 86 ref subst 3141 remove 151 ref subst nil 112 ref 3137 ref nil cons cons 3142 def 2225 ref cons nil cons cons 3143 def 127 ref subst 3144 def 3143 remove 347 ref subst 3145 def 805 ref refl 3146 def 2778 ref assume 3147 def appThm 3148 def 3137 remove assume 3149 def appThm sym nil 2220 ref 68 ref 806 ref 3096 ref appTerm 3150 def nil cons 3151 def cons nil cons cons nil cons cons 136 ref subst 1269 ref 3067 ref 45 ref appTerm 3152 def betaConv nil 67 ref 3126 remove cons 68 ref 3152 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 3067 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 3139 remove cons 3153 def 114 ref 1555 ref cons nil cons 3154 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 3133 remove cons 3155 def 3154 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 3079 ref 45 ref appTerm appTerm 3156 def 1553 ref appTerm absTerm appTerm nil cons cons 68 ref 3129 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3079 remove nil cons cons 3157 def 3154 ref cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 3122 remove cons 114 ref 3089 remove cons nil cons 3158 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 3119 remove cons 3158 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 2785 ref 69 ref 3086 remove 2786 ref appTerm appTerm 3084 remove appTerm absTerm appTerm nil cons cons 3116 remove cons nil cons cons 136 ref subst proveHyp 870 ref 3114 remove 3158 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp 3159 def subst subst 3160 def 1457 ref 1436 ref 826 ref 795 ref 1458 ref 292 ref 356 ref 2489 ref refl 3161 def 2505 ref 1469 ref subst appThm absThm appThm appThm absThm appThm absThm appThm trans appThm 33 ref 1627 ref 1457 ref 1436 ref 826 ref 795 ref 1458 ref 795 ref 288 ref 356 ref 2489 ref 39 ref 41 ref 1414 ref 2535 ref appTerm absTerm appTerm appTerm absTerm appTerm 3162 def absTerm 3163 def 799 ref appTerm betaConv 3164 def appThm absThm appThm absThm appThm appThm appThm 3163 ref 910 ref appTerm betaConv appThm nil 1461 ref 3163 remove nil cons cons nil cons nil cons cons 1463 ref subst eqMp trans appThm absThm appThm trans sym nil 871 ref 795 ref 69 ref 39 ref 41 ref 1414 ref 46 ref 492 ref appTerm 3165 def appTerm absTerm appTerm appTerm 3162 ref appTerm 3166 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 3166 remove nil cons cons nil cons nil cons cons 106 ref subst 329 ref 40 ref 41 ref 1414 ref refl 3167 def 516 ref appThm absThm appThm appThm 3162 ref refl appThm sym nil 144 ref 41 ref 69 ref 41 ref 1414 ref 2543 ref appTerm 3168 def absTerm 3169 def 45 ref appTerm 3170 def appTerm 3162 ref appTerm 3171 def absTerm 3172 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3171 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3170 ref nil cons 3173 def cons 68 ref 3162 ref nil cons 3174 def cons nil cons 3175 def cons nil cons cons 3176 def 86 ref subst 3176 remove 151 ref subst 3170 ref betaConv 3170 remove assume eqMp nil 67 ref 3168 remove nil cons 3177 def cons 3175 remove cons nil cons cons 3178 def 136 ref subst proveHyp 3178 ref 86 ref subst 3178 remove 151 ref subst nil 112 ref 1430 ref cons 3179 def 114 ref 2558 ref cons nil cons 3180 def cons nil cons cons 3181 def 127 ref subst 3181 remove 347 ref subst 23 ref "_10758" 721 ref var 3182 def 288 ref 356 ref 2489 ref 39 ref 41 ref 75 ref 853 ref 3182 remove varTerm appTerm 1412 ref appTerm appTerm 2535 ref appTerm absTerm appTerm appTerm absTerm appTerm absTerm 3183 def 799 ref appTerm appTerm refl 3183 ref 1412 ref appTerm betaConv appThm 33 ref 3164 remove appThm 288 ref 356 ref 2489 ref 39 ref 1134 ref 2441 ref 1153 ref 1822 ref appTerm 3184 def appTerm absTerm appTerm appTerm absTerm appTerm refl appThm trans 3183 remove refl 1413 remove assume 3185 def appThm eqMp sym nil 317 ref 11 ref 2540 ref 39 ref 1134 ref 2441 ref 1261 ref appTerm absTerm 3186 def appTerm 3187 def appTerm 3188 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 3188 remove nil cons cons nil cons nil cons cons 106 ref subst nil 2142 ref 68 ref 3187 ref nil cons 3189 def cons nil cons 3190 def cons nil cons cons 3191 def 86 ref subst 3191 remove 151 ref subst 3186 ref 45 ref appTerm betaConv sym 3192 def 2454 ref 368 ref appThm 563 ref trans sym nil 2142 ref 1017 ref cons nil cons cons 136 ref subst 2596 ref eqMp 3193 def eqMp eqMp 309 ref 144 ref 3186 ref nil cons cons 3194 def 311 ref cons nil cons cons 594 ref subst 3195 def proveHyp eqMp nil 2085 ref 114 ref 3189 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 3177 remove cons 114 ref 3174 remove cons nil cons 3196 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 3173 remove cons 3196 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 3172 remove appTerm nil cons cons 68 ref 69 ref 39 ref 3169 ref appTerm appTerm 3162 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3169 remove nil cons cons 3196 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 1422 ref 3057 remove appTerm thm 1663 ref 488 ref 1663 ref 2472 ref nil 11 ref 608 ref 492 ref appTerm 2477 remove appTerm 3197 def nil cons cons 4 ref 485 ref 1216 ref 18 ref 483 ref 1650 ref cons opType constTerm 3198 def 491 ref appTerm 2475 ref appTerm 3199 def appTerm 3200 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil 488 ref 3199 ref nil cons cons nil cons nil cons cons 3201 def 516 ref subst 292 ref 11 ref 329 ref 517 remove 325 ref 1258 ref subst 3202 def subst 3203 def appThm 368 ref appThm absThm appThm trans appThm 2532 remove 632 ref subst 544 ref 516 ref appThm 2534 remove appThm trans appThm absThm appThm trans absThm appThm absThm appThm sym 1663 ref 488 ref 1663 ref 2472 ref 55 ref 41 ref 23 ref 288 ref 11 ref 69 ref 251 ref 2062 ref appTerm 2544 ref appTerm 3204 def appTerm 47 ref appTerm absTerm appTerm appTerm 3205 def refl 33 ref 544 ref 292 ref 11 ref 2594 ref absThm appThm 3206 def appThm 292 ref 11 ref 2546 ref 30 ref appTerm betaConv 3207 def absThm appThm appThm appThm 292 ref 11 ref 544 ref 2594 ref appThm 3207 remove appThm absThm appThm appThm nil 2930 ref 2595 remove cons 3208 def "q" 24 ref var 3209 def 2546 remove nil cons cons nil cons cons nil cons cons 325 ref 1568 ref 23 ref 75 ref 1589 remove appTerm 1573 ref appTerm 3210 def appTerm 54 ref 41 ref 2932 ref 1571 ref appTerm absTerm appTerm 3211 def appTerm 3212 def absTerm 3213 def 1570 ref appTerm 3214 def betaConv 56 ref 65 ref 3213 ref appTerm 3215 def absTerm 3216 def 57 ref appTerm 3217 def betaConv 442 ref 56 ref 442 ref 1568 ref 3212 remove assume sym 23 ref 3211 remove appTerm 3210 remove appTerm 3218 def assume sym deductAntisym absThm appThm absThm appThm nil 65 ref 56 ref 65 ref 1568 ref 3218 remove absTerm 3219 def appTerm 3220 def absTerm 3221 def appTerm 3222 def axiom 3223 def eqMp nil 67 ref 65 ref 3216 ref appTerm nil cons cons 68 ref 3217 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 3216 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3215 remove nil cons cons 68 ref 3214 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 3213 remove nil cons cons 1581 ref cons nil cons cons 161 ref subst eqMp eqMp 3224 def subst subst eqMp appThm absThm appThm absThm appThm absThm appThm sym nil 510 ref 488 ref 506 ref 2472 ref 54 ref 41 ref 3205 remove 288 ref 11 ref 75 ref 2541 ref appTerm 2545 remove appTerm absTerm appTerm appTerm 3225 def absTerm 3226 def appTerm 3227 def absTerm 3228 def appTerm 3229 def absTerm nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 3229 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 3228 remove nil cons cons nil cons nil cons cons 1695 ref subst 2472 ref nil 99 ref 3227 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 3226 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3225 remove nil cons cons nil cons nil cons cons 106 ref subst 292 ref "t'" 3 ref var 3230 def nil 67 ref 69 ref 251 ref 497 ref 3230 ref varTerm 3231 def appTerm 3232 def 491 ref appTerm 3233 def appTerm 3234 def 3232 ref 2475 ref appTerm 3235 def appTerm 3236 def appTerm 46 ref 3231 ref appTerm 3237 def appTerm 3238 def nil cons 3239 def cons 68 ref 75 ref 69 ref 3233 ref appTerm 3237 ref appTerm 3240 def appTerm 69 ref 3235 ref appTerm 3241 def 3237 ref appTerm 3242 def appTerm 3243 def nil cons 3244 def cons nil cons cons nil cons cons 3245 def 348 ref subst 3245 ref 86 ref subst 3245 remove 151 ref subst nil 67 ref 3233 ref nil cons 3246 def cons 3247 def 68 ref 3237 ref nil cons 3248 def cons nil cons 3249 def cons nil cons cons 3250 def 86 ref subst 3251 def 3250 remove 151 ref subst 3252 def nil 112 ref 3246 ref cons 3253 def 114 ref 3235 ref nil cons 3254 def cons 3255 def nil cons cons nil cons cons 3256 def 1821 ref subst nil 67 ref 3236 ref nil cons 3257 def cons 3249 ref cons nil cons cons 3258 def 136 ref subst 3238 ref assume eqMp 3259 def proveHyp eqMp nil 3253 ref 114 ref 3248 ref cons nil cons 3260 def cons nil cons cons 3261 def 127 ref subst 3262 def deductAntisym eqMp nil 67 ref 3240 ref nil cons 3263 def cons 68 ref 3242 remove nil cons 3264 def cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 3254 ref cons 3265 def 3249 ref cons nil cons cons 3266 def 86 ref subst 3266 remove 151 ref subst 3256 remove 1816 ref subst 3259 remove proveHyp eqMp nil 112 ref 3254 ref cons 3267 def 3260 ref cons nil cons cons 3268 def 127 ref subst 3269 def deductAntisym eqMp eqMp eqMp nil 112 ref 3239 ref cons 114 ref 3244 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 3238 ref appTerm 3243 ref appTerm nil cons cons 68 ref 69 ref 3243 remove appTerm 3238 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 3244 ref cons 68 ref 3239 ref cons nil cons cons nil cons cons 3270 def 86 ref subst 3270 remove 151 ref subst 3258 ref 86 ref subst 3258 remove 151 ref subst nil 112 ref 3263 ref cons 114 ref 3264 remove cons nil cons cons nil cons cons 3271 def 347 ref subst 3271 remove 127 ref subst nil 3253 ref 3255 ref 261 ref 3248 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 3257 remove cons 3260 ref cons nil cons cons 3272 def 127 ref subst 3273 def deductAntisym eqMp eqMp nil 112 ref 3244 remove cons 114 ref 3239 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm appThm eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp nil 506 ref 488 ref 506 ref 2472 ref 27 ref 3200 remove appTerm 3197 remove appTerm absTerm appTerm absTerm appTerm thm 1663 ref 488 ref 1663 ref 2472 ref nil 11 ref 1217 ref 532 ref appTerm 530 ref 2475 remove appTerm 3274 def appTerm 3275 def nil cons cons 4 ref 530 ref 3199 remove appTerm 3276 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 3201 remove 542 ref subst 543 ref 11 ref 544 ref 3203 remove appThm 368 ref appThm absThm appThm trans appThm nil 11 ref 3274 ref nil cons cons 3277 def 2905 remove nil cons 3278 def cons nil cons cons 3279 def 1258 ref subst 1259 ref 542 ref appThm 2533 remove 542 ref subst 3280 def appThm trans appThm absThm appThm trans absThm appThm absThm appThm sym nil 510 ref 488 ref 506 ref 2472 ref 54 ref 41 ref 23 ref 534 ref 11 ref 75 ref 3204 remove appTerm 47 ref appTerm absTerm 3281 def appTerm 3282 def appTerm 251 ref 2073 ref appTerm 534 ref 11 ref 75 ref 2544 remove appTerm 3283 def 47 ref appTerm absTerm 3284 def appTerm 3285 def appTerm 3286 def appTerm 3287 def absTerm 3288 def appTerm 3289 def absTerm 3290 def appTerm 3291 def absTerm nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 3291 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 3290 remove nil cons cons nil cons nil cons cons 1695 ref subst 2472 ref nil 99 ref 3289 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 3288 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3287 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3282 ref nil cons 3292 def cons 68 ref 3286 ref nil cons 3293 def cons nil cons 3294 def cons nil cons cons 348 ref subst nil 317 ref 3230 ref 69 ref 3281 ref 3231 ref appTerm 3295 def appTerm 3286 ref appTerm 3296 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 3230 ref nil 99 ref 3296 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3295 ref nil cons 3297 def cons 3294 ref cons nil cons cons 3298 def 86 ref subst 3298 remove 151 ref subst 3295 ref betaConv 3299 def 3295 remove assume eqMp nil 67 ref 75 ref 3236 remove appTerm 3237 ref appTerm nil cons 3300 def cons 3294 ref cons nil cons cons 3301 def 136 ref subst proveHyp 3301 ref 86 ref subst 3301 remove 151 ref subst 3273 remove 3272 remove 347 ref subst nil 3265 remove 3294 ref cons nil cons cons 3302 def 86 ref subst 3302 remove 151 ref subst 3284 ref 3231 ref appTerm 3303 def betaConv 3304 def sym 544 ref nil 99 ref 3254 remove cons nil cons nil cons cons 3305 def 106 ref subst 3235 ref assume eqMp 3306 def appThm nil 99 ref 3248 ref cons nil cons nil cons cons 3307 def 106 ref subst 3237 ref assume 3308 def eqMp 3309 def appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 3284 ref nil cons cons 3310 def 356 ref 3231 ref nil cons 3311 def cons nil cons 3312 def cons nil cons cons 594 ref subst proveHyp nil 2148 ref 114 ref 3285 ref nil cons 3313 def cons 3314 def nil cons 3315 def cons nil cons cons 3316 def 1816 ref subst proveHyp eqMp nil 3267 remove 114 ref 3293 ref cons nil cons 3317 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 3247 remove 3294 remove cons nil cons cons 3318 def 86 ref subst 3318 remove 151 ref subst 2072 ref 3231 ref appTerm 3319 def betaConv 3320 def sym 544 ref nil 99 ref 3246 remove cons nil cons nil cons cons 3321 def 106 ref subst 3233 ref assume eqMp 3322 def appThm 3309 ref appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 2092 ref 3312 ref cons nil cons cons 594 ref subst proveHyp 3316 remove 1821 ref subst proveHyp eqMp nil 3253 ref 3317 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 3253 remove 3255 remove 261 ref 3293 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 3300 remove cons 3317 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 3297 remove cons 3317 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 3281 ref 1822 ref appTerm appTerm 3286 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 3282 ref appTerm 3286 ref appTerm nil cons 3323 def cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 3281 remove nil cons cons 3324 def 3317 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 3323 remove cons 68 ref 69 ref 3286 remove appTerm 3282 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 3293 ref cons 68 ref 3292 ref cons nil cons 3325 def cons nil cons cons 3326 def 86 ref subst 3326 remove 151 ref subst nil 317 ref 3230 ref 69 ref 3303 ref appTerm 3327 def 3282 ref appTerm 3328 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 3230 ref nil 99 ref 3328 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3303 ref nil cons 3329 def cons 3330 def 3325 ref cons nil cons cons 3331 def 86 ref subst 3331 remove 151 ref subst 3304 remove 3303 remove assume eqMp 3332 def nil 67 ref 75 ref 3235 ref appTerm 3237 ref appTerm nil cons 3333 def cons 3334 def 3325 ref cons nil cons cons 3335 def 136 ref subst proveHyp 3335 ref 86 ref subst 3335 remove 151 ref subst 3269 ref 3268 remove 347 ref subst 3336 def 3299 remove sym 3337 def 544 ref 3234 remove refl 3306 ref appThm 3321 remove 1612 ref subst trans appThm 3309 ref appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 3324 remove 3312 ref cons nil cons cons 594 ref subst 3338 def proveHyp proveHyp proveHyp eqMp nil 112 ref 3333 remove cons 3339 def 114 ref 3292 ref cons nil cons 3340 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 3329 remove cons 3341 def 3340 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 3284 ref 1822 ref appTerm appTerm 3342 def 3282 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 3285 ref appTerm 3343 def 3282 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 3310 ref 3340 ref cons nil cons cons 929 ref subst eqMp nil 317 ref 3230 ref 69 ref 3319 ref appTerm 3344 def 3282 ref appTerm 3345 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 3230 ref nil 99 ref 3345 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3319 ref nil cons 3346 def cons 3347 def 3325 ref cons nil cons cons 3348 def 86 ref subst 3348 remove 151 ref subst 3320 remove 3319 remove assume eqMp 3349 def nil 67 ref 75 ref 3233 remove appTerm 3237 ref appTerm nil cons 3350 def cons 3351 def 3325 remove cons nil cons cons 3352 def 136 ref subst proveHyp 3352 ref 86 ref subst 3352 remove 151 ref subst 3262 ref 3261 remove 347 ref subst 3353 def 3337 remove 544 ref 1259 ref 3322 ref appThm 3235 remove refl appThm 3305 remove 1351 ref subst trans appThm 3309 ref appThm 941 ref trans sym 105 ref eqMp eqMp 3338 remove proveHyp proveHyp proveHyp eqMp nil 112 ref 3350 remove cons 3354 def 3340 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 3346 remove cons 3355 def 3340 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 2121 ref 3282 ref appTerm absTerm appTerm nil cons cons 68 ref 2097 ref 3282 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 2092 ref 3340 ref cons nil cons cons 929 ref subst eqMp nil 2148 ref 3314 remove 261 ref 3292 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 3293 remove cons 3340 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 506 ref 488 ref 506 ref 2472 ref 27 ref 3276 remove appTerm 3275 remove appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref 292 ref 11 ref 55 ref 41 ref 329 ref 700 ref appThm 3356 def nil 11 ref 1122 ref 30 ref appTerm 3357 def nil cons cons nil cons nil cons cons 700 ref subst 55 ref 1134 ref 2236 ref refl 3358 def nil 637 ref 1158 ref cons nil cons cons 1178 ref subst appThm absThm appThm trans 3359 def appThm absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 2295 ref 54 ref 1134 ref 2236 ref 1267 ref 1261 ref appTerm 3360 def appTerm 3361 def absTerm 3362 def appTerm 3363 def appTerm 3364 def absTerm 3365 def appTerm 3366 def absTerm 3367 def appTerm 3368 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 3368 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 3367 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 3366 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 3365 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3364 remove nil cons 3369 def cons nil cons nil cons cons 106 ref subst nil 1020 ref 68 ref 3363 ref nil cons 3370 def cons nil cons cons nil cons cons 3371 def 86 ref subst 3371 remove 151 ref subst nil 144 ref 3362 ref nil cons cons 3372 def nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 3361 remove nil cons 3373 def cons nil cons nil cons cons 106 ref subst nil 2220 ref 68 ref 3360 ref nil cons 3374 def cons nil cons cons nil cons cons 3375 def 86 ref subst 3375 remove 151 ref subst nil 2220 ref 68 ref 1273 ref cons nil cons 3376 def cons nil cons cons 3377 def 136 ref subst 1269 ref 1022 remove subst eqMp 3378 def nil 2231 ref 3000 ref cons nil cons cons 3379 def 1816 ref subst proveHyp eqMp nil 2223 ref 114 ref 3374 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 1008 ref 114 ref 3370 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp 3380 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 288 ref 4 ref 288 ref 11 ref 54 ref 41 ref 69 ref 688 ref appTerm 3381 def 687 ref 3357 ref appTerm 3382 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref nil 596 ref 4 ref 425 ref 426 ref 39 ref 41 ref 428 ref 49 ref appTerm absTerm appTerm absTerm appTerm 3383 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 1478 ref appThm absThm appThm absThm appThm 3384 def appThm appThm 1478 ref appThm 2190 ref 465 ref subst eqMp appThm 634 ref appThm 1311 remove trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans sym 105 ref eqMp 3385 def nil 288 ref 4 ref 27 ref 3383 remove appTerm 28 ref appTerm absTerm 3386 def appTerm 3387 def thm nil 144 ref 41 ref 288 ref 4 ref 690 ref 27 ref 1122 ref 1115 ref appTerm 3388 def appTerm 28 ref appTerm 3389 def appTerm 3390 def absTerm 3391 def appTerm 3392 def absTerm 3393 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3392 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 3391 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 3390 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 3389 remove nil cons 3394 def cons nil cons cons nil cons cons 3395 def 86 ref subst 3395 remove 151 ref subst nil 596 ref 4 ref 3388 remove nil cons 3396 def cons nil cons cons nil cons cons 381 ref subst 55 ref 1134 ref 33 ref nil 2250 ref 1158 ref cons nil cons cons 1178 ref subst 1268 ref 1198 ref appThm trans 3397 def appThm 1471 ref appThm absThm appThm trans sym nil 144 ref 1134 ref 23 ref 1267 ref 1202 ref appTerm 3398 def appTerm 1154 ref appTerm 3399 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 3399 remove nil cons 3400 def cons nil cons nil cons cons 106 ref subst nil 67 ref 1201 ref nil cons 3401 def cons 3402 def 68 ref 3400 ref cons nil cons 3403 def cons nil cons cons 3404 def 86 ref subst 3404 remove 151 ref subst 1259 ref nil 3402 ref 68 ref 23 ref 1200 ref appTerm 3405 def 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst 3406 def nil 2231 ref nil cons nil cons cons 3407 def 1095 ref subst 3408 def eqMp 3409 def appThm 3410 def 1156 ref 35 ref 3409 ref appThm 400 ref trans 3411 def appThm 2238 ref 1362 ref subst 3412 def trans appThm 2238 ref 1308 ref subst 3413 def trans eqMp nil 112 ref 3401 ref cons 3414 def 114 ref 3400 ref cons nil cons 3415 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2226 ref 3403 remove cons nil cons cons 3416 def 86 ref subst 3416 remove 151 ref subst 33 ref 1259 ref 220 ref refl 3417 def 2229 ref appThm 3418 def 160 ref appThm 224 ref trans 3419 def appThm 3420 def 544 ref 2230 ref 1741 ref trans 3421 def appThm 35 ref 3419 ref appThm 417 ref trans appThm 1096 ref trans appThm 552 ref 1351 ref subst 3422 def trans appThm 3421 remove appThm 527 ref trans sym 105 ref eqMp eqMp nil 2231 ref 3415 remove cons nil cons cons 127 ref subst deductAntisym eqMp 2240 ref 1387 remove subst 3423 def nil 2231 ref 114 ref 3401 ref cons 3424 def 261 ref 3400 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp eqMp nil 1731 ref 114 ref 3394 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp 3425 def eqMp absThm eqMp eqMp absThm eqMp 3426 def nil 54 ref 3393 remove appTerm thm 1040 remove nil 288 ref 986 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 23 ref 27 ref 1229 ref 1883 ref appTerm 3427 def appTerm 30 ref appTerm appTerm 688 ref appTerm 3428 def absTerm 3429 def appTerm 3430 def absTerm 3431 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 3430 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 3429 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 3428 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 4 ref 3427 remove nil cons cons nil cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 1885 remove 1258 ref subst 1765 ref 639 ref 1152 ref subst appThm trans appThm 368 ref appThm absThm appThm trans appThm 700 ref appThm sym 55 ref 41 ref nil 2332 ref 68 ref 23 ref 23 ref 1248 ref 653 ref 50 ref appTerm appTerm appTerm 47 ref appTerm appTerm 691 remove appTerm nil cons 3432 def cons nil cons 3433 def cons nil cons cons 3434 def 86 ref subst 3434 remove 151 ref subst 23 ref "_10471" 19 ref var 3435 def 23 ref 23 ref 251 ref 3435 remove varTerm 3436 def appTerm 653 ref 34 ref 3436 ref appTerm appTerm appTerm appTerm 47 ref appTerm appTerm 69 ref 3436 remove appTerm 47 ref appTerm appTerm absTerm 3437 def 49 ref appTerm 3438 def appTerm refl 3439 def 3437 ref 171 ref appTerm betaConv appThm 33 ref 3438 remove betaConv appThm 3440 def 23 ref 23 ref 1304 ref 653 ref 397 ref appTerm 3441 def appTerm appTerm 47 ref appTerm appTerm 2343 remove appTerm refl appThm trans 3437 remove refl 3442 def 2345 ref appThm eqMp sym 33 ref 33 ref nil 99 ref 3441 remove nil cons cons nil cons nil cons cons 1308 ref subst 653 ref refl 3443 def 400 ref appThm 519 ref 1362 ref subst 3444 def trans trans appThm 368 ref appThm 369 ref trans appThm 525 remove appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 2346 ref 114 ref 3432 ref cons nil cons 3445 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2350 ref 3433 remove cons nil cons cons 3446 def 86 ref subst 3446 remove 151 ref subst 3439 remove "_10469" 19 ref var 3447 def 23 ref 23 ref 251 ref 3447 remove varTerm 3448 def appTerm 653 ref 34 ref 3448 ref appTerm appTerm appTerm appTerm 47 ref appTerm appTerm 69 ref 3448 remove appTerm 47 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 3440 remove 23 ref 23 ref 1347 ref 653 ref 415 ref appTerm 3449 def appTerm appTerm 47 ref appTerm appTerm 2355 remove appTerm refl appThm trans 3442 remove 2356 ref appThm eqMp sym 33 ref 33 ref nil 99 ref 3449 remove nil cons cons nil cons nil cons cons 1351 ref subst appThm 368 ref appThm 2326 remove trans appThm 2359 remove appThm 369 ref trans sym 105 ref eqMp eqMp eqMp nil 2360 ref 3445 remove cons nil cons cons 127 ref subst deductAntisym eqMp 2362 ref nil 2360 ref 2363 ref 261 ref 3432 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp absThm appThm eqMp eqMp absThm eqMp eqMp absThm eqMp 3450 def nil 288 ref 3431 remove appTerm thm 292 ref 4 ref 292 ref 11 ref 33 ref 640 ref 1886 remove 1345 ref subst appThm 1036 ref appThm appThm 2183 ref appThm absThm appThm absThm appThm sym 3450 remove eqMp nil 288 ref 4 ref 288 ref 11 ref 23 ref 27 ref 1217 ref 1883 remove appTerm 28 ref appTerm appTerm 30 ref appTerm appTerm 688 ref appTerm absTerm appTerm absTerm appTerm thm 1031 remove nil 1032 remove thm 2689 ref 2666 ref 2690 ref 2669 ref 2691 ref nil "n" 2657 ref var 3451 def 2677 ref nil cons 3452 def cons nil cons nil cons cons 3451 ref 23 ref "Number.Natural.<=" const 2670 remove constTerm 2673 ref appTerm 3453 def 3451 ref varTerm 3454 def appTerm 3455 def appTerm 2676 ref "Number.Natural.suc" const 18 ref 2657 ref 2658 remove cons opType constTerm 3456 def 3454 ref appTerm 3457 def appTerm 3458 def appTerm 3459 def absTerm 3460 def 3454 ref appTerm 3461 def betaConv 2669 ref 2683 ref 3460 ref appTerm 3462 def absTerm 3463 def 2673 ref appTerm 3464 def betaConv 2684 ref 2669 ref 2684 ref 3451 ref 3459 remove assume sym 23 ref 3458 ref appTerm 3465 def 3455 ref appTerm 3466 def assume sym deductAntisym absThm appThm absThm appThm nil 2683 ref 2669 ref 2683 ref 3451 ref 3466 remove absTerm appTerm absTerm appTerm axiom eqMp nil 67 ref 2683 ref 3463 ref appTerm nil cons cons 68 ref 3464 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 3463 remove nil cons cons 2701 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3462 remove nil cons cons 68 ref 3461 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 3460 remove nil cons cons 2685 ref 3454 ref nil cons 3467 def cons nil cons 3468 def cons nil cons cons 161 ref subst eqMp eqMp 3469 def subst appThm absThm appThm absThm appThm nil "k" 2657 ref var 3470 def 3452 ref cons nil cons nil cons cons nil 3451 ref 3470 ref varTerm nil cons cons nil cons nil cons cons 3451 ref 2704 ref 2665 ref 2666 ref 2668 ref 2669 ref 2674 ref 3458 ref appTerm absTerm appTerm absTerm 3471 def appTerm 3472 def appTerm 3473 def 1120 ref 18 ref 2657 ref 18 ref 2659 ref 2664 ref cons opType nil cons cons opType constTerm 3474 def 3454 ref appTerm 2665 ref 2666 ref 2668 ref 2669 ref 2674 ref 2676 remove 3454 ref appTerm 3475 def appTerm absTerm appTerm absTerm appTerm 3476 def appTerm 3477 def appTerm absTerm 3478 def 3454 ref appTerm 3479 def betaConv 2684 ref 3451 ref nil 2660 ref 3477 ref nil cons cons 2662 ref 3472 remove nil cons cons nil cons 3480 def cons nil cons cons 2682 ref subst 2684 ref 2685 ref 33 ref 33 ref 2688 ref 2689 ref 2666 ref 2690 ref 2669 ref 2691 ref 2669 ref 3458 ref absTerm 3481 def 2673 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 3481 ref 2687 ref appTerm betaConv appThm nil 2693 ref 3481 remove nil cons cons nil cons nil cons cons 2694 ref subst eqMp 2695 remove 3451 ref 3465 remove 251 ref 2671 ref 2673 ref appTerm 3482 def 3454 ref appTerm appTerm 3475 ref appTerm appTerm absTerm 3483 def 3454 ref appTerm 3484 def betaConv 2669 ref 2683 ref 3483 ref appTerm 3485 def absTerm 3486 def 2673 ref appTerm 3487 def betaConv nil 2683 ref 3486 ref appTerm 3488 def axiom nil 67 ref 3488 remove nil cons cons 68 ref 3487 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 3486 remove nil cons cons 2701 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3485 remove nil cons cons 68 ref 3484 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 3483 remove nil cons cons 3468 ref cons nil cons cons 161 ref subst eqMp eqMp subst trans appThm nil 2662 ref 3476 remove nil cons cons "y" 2657 ref var 3489 def 3467 remove cons nil cons cons nil cons cons 2681 ref 1178 ref subst 3490 def subst 251 ref 2671 ref 2687 ref appTerm 3491 def 3454 ref appTerm appTerm 3492 def refl 33 ref 2688 remove 2689 ref 2666 ref 2690 ref 2669 ref 2691 ref 2669 ref 3475 ref absTerm 3493 def 2673 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 3493 ref 2687 ref appTerm betaConv appThm nil 2693 ref 3493 remove nil cons cons nil cons nil cons cons 2694 remove subst eqMp appThm trans appThm nil 166 ref 3492 remove 2675 ref 2687 ref appTerm 3454 ref appTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 2702 ref trans trans absThm appThm 2702 ref trans sym 105 ref eqMp 3494 def nil 67 ref 2683 ref 3478 ref appTerm 3495 def nil cons cons 68 ref 3479 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 3478 remove nil cons cons 3468 ref cons nil cons cons 161 ref subst eqMp eqMp 3496 def subst 3497 def subst 3474 ref 2677 ref appTerm 3498 def refl 3499 def 2703 remove appThm trans trans nil 2704 ref 2665 ref 2666 ref 2668 ref 2669 ref 2674 ref 3453 ref 2677 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm 3498 ref 2661 remove appTerm appTerm thm nil 2472 ref 2122 remove 486 ref appTerm 3500 def nil cons cons 488 ref 423 ref 18 ref 24 ref 508 ref cons opType constTerm 3501 def "v" 3 ref var 3502 def 534 ref 4 ref 75 ref 27 ref 3502 ref varTerm 3503 def appTerm 3504 def 28 ref appTerm appTerm 3505 def 1107 ref appTerm absTerm appTerm absTerm appTerm 3506 def nil cons cons nil cons cons nil cons cons 325 ref 381 ref subst 3507 def subst sym nil 317 ref 356 ref 23 ref 2487 ref 3506 ref appTerm appTerm 2487 ref 3500 ref appTerm appTerm absTerm nil cons cons nil cons nil cons cons 327 ref subst 356 ref 33 ref 33 ref 2487 ref refl 3508 def 3501 ref refl 3509 def 3502 ref 543 ref 4 ref 3505 ref refl 3510 def 4 ref 1107 remove absTerm 3511 def 28 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 3511 ref 1822 ref appTerm betaConv appThm nil 2930 ref 3511 remove nil cons cons nil cons nil cons cons 325 ref 465 ref subst 3512 def subst eqMp 2505 ref 2045 ref 28 ref appTerm 3513 def betaConv 2044 remove nil 67 ref 2046 remove nil cons cons 68 ref 3513 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2045 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 3514 def subst trans appThm nil 2060 remove nil cons nil cons cons 325 ref 1187 ref subst 3515 def subst appThm nil 166 ref 27 ref 1822 ref appTerm 13 ref appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm eqMp eqMp nil 17 ref 2473 remove constTerm 3516 def 3506 remove appTerm 3500 remove appTerm thm 1429 ref 1403 ref 292 ref 4 ref 55 ref 41 ref 705 ref nil 2776 ref nil cons cons 3517 def 1469 ref subst 3518 def appThm absThm appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 288 ref 4 ref 54 ref 41 ref 690 ref 39 ref 1134 ref 2442 remove absTerm 3519 def appTerm 3520 def appTerm 3521 def absTerm 3522 def appTerm 3523 def absTerm 3524 def appTerm 3525 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 3525 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 3524 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 3523 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 3522 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3521 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 3520 ref nil cons 3526 def cons nil cons cons nil cons cons 3527 def 86 ref subst 3527 remove 151 ref subst 3519 ref 45 ref appTerm betaConv sym 2455 remove sym 105 ref eqMp eqMp 309 ref 144 ref 3519 ref nil cons cons 3528 def 311 ref cons nil cons cons 594 ref subst proveHyp 3529 def eqMp nil 1731 ref 114 ref 3526 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 3530 def nil 1422 ref 1403 ref 288 ref 4 ref 54 ref 41 ref 690 ref 805 ref 1412 ref appTerm 3531 def 1408 ref appTerm 3532 def appTerm 3533 def absTerm 3534 def appTerm 3535 def absTerm 3536 def appTerm 3537 def absTerm 3538 def appTerm 3539 def thm 55 ref 41 ref 292 ref 4 ref 33 ref 640 ref 1840 ref 33 ref "_10529" 3 ref var 3540 def 27 ref 1113 ref 1161 ref appTerm 3541 def 297 ref appTerm 3542 def appTerm 3543 def 3540 remove varTerm appTerm absTerm 3544 def "Data.Bool.cond" const 3545 def 18 ref 19 ref 607 remove nil cons cons opType constTerm 3546 def 298 ref appTerm 1114 ref 297 ref appTerm 3547 def appTerm 1122 ref 3547 ref appTerm 3548 def appTerm 3549 def appTerm betaConv appThm 544 ref 69 ref 298 ref appTerm 3550 def refl 3544 ref 3547 ref appTerm betaConv appThm appThm 69 ref 34 ref 298 ref appTerm 3551 def appTerm 3552 def refl 3544 ref 3548 ref appTerm betaConv appThm appThm appThm nil "_485" 3 ref var 3553 def 3548 ref nil cons 3554 def cons "_482" 3 ref var 3555 def 3547 ref nil cons 3556 def cons "_483" 19 ref var 3557 def 1180 ref cons nil cons cons cons nil cons cons nil "_484" 24 ref var 3558 def 3544 remove nil cons cons nil cons nil cons cons 325 ref nil 41 ref "_482" 1 ref var varTerm nil cons cons "c" 19 ref var 3559 def 3557 ref varTerm nil cons cons 56 ref "_484" 37 ref var varTerm nil cons cons 296 ref "_485" 1 ref var varTerm nil cons cons nil cons cons cons cons nil cons cons 296 ref 23 ref 57 ref 3545 ref 18 ref 19 ref 18 ref 1 ref 1390 remove nil cons cons opType nil cons cons opType constTerm 3560 def 3559 ref varTerm 3561 def appTerm 45 ref appTerm 297 ref appTerm appTerm appTerm 75 ref 69 ref 3561 ref appTerm 58 ref appTerm appTerm 69 ref 34 ref 3561 ref appTerm appTerm 435 remove appTerm appTerm appTerm absTerm 3562 def 297 ref appTerm 3563 def betaConv 41 ref 54 ref 3562 ref appTerm 3564 def absTerm 3565 def 45 ref appTerm 3566 def betaConv 3559 remove 54 ref 3565 ref appTerm 3567 def absTerm 3568 def 3561 ref appTerm 3569 def betaConv 56 ref 198 ref 3568 ref appTerm 3570 def absTerm 3571 def 57 ref appTerm 3572 def betaConv nil 65 ref 3571 ref appTerm 3573 def axiom nil 67 ref 3573 remove nil cons cons 68 ref 3572 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 3571 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3570 remove nil cons cons 68 ref 3569 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 3568 remove nil cons cons 166 ref 3561 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3567 remove nil cons cons 68 ref 3566 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3565 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3564 remove nil cons cons 68 ref 3563 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3562 remove nil cons cons 314 ref cons nil cons cons 161 ref subst eqMp eqMp subst 3574 def subst 3575 def subst subst eqMp sym nil 67 ref 1180 ref cons 68 ref 3543 ref 3547 ref appTerm 3576 def nil cons 3577 def cons nil cons cons nil cons cons 3578 def 86 ref subst 3578 remove 151 ref subst nil 11 ref 3556 ref cons 4 ref 3542 remove nil cons cons nil cons 3579 def cons nil cons cons 381 ref subst 55 ref 1134 ref 33 ref 1246 ref 1197 ref subst 3580 def 544 ref 1260 ref 1259 ref 1199 ref refl 3581 def 298 ref assume 3582 def appThm appThm 1471 ref appThm trans appThm 34 ref 1199 ref 297 ref appTerm 3583 def appTerm 3584 def refl 3585 def appThm trans appThm 1269 ref 1197 ref subst 3586 def appThm absThm appThm trans sym nil 144 ref 1134 ref 23 ref 75 ref 251 ref 3583 ref appTerm 3587 def 1154 ref appTerm appTerm 3584 ref appTerm appTerm 1155 ref 3584 ref appTerm 3588 def appTerm 3589 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 3589 remove nil cons 3590 def cons nil cons nil cons cons 106 ref subst nil 67 ref 23 ref 3583 ref appTerm 3591 def 171 ref appTerm 3592 def nil cons 3593 def cons 68 ref 3590 ref cons nil cons 3594 def cons nil cons cons 3595 def 86 ref subst 3595 remove 151 ref subst 23 ref "_10537" 19 ref var 3596 def 23 ref 75 ref 251 ref 3596 remove varTerm 3597 def appTerm 1154 ref appTerm appTerm 34 ref 3597 remove appTerm 3598 def appTerm appTerm 1155 ref 3598 remove appTerm appTerm absTerm 3599 def 3583 ref appTerm 3600 def appTerm refl 3601 def 3599 ref 171 ref appTerm betaConv appThm 33 ref 3600 remove betaConv appThm 3602 def 23 ref 75 ref 1304 ref 1154 ref appTerm appTerm 397 ref appTerm appTerm 1155 ref 397 ref appTerm appTerm refl appThm trans 3599 remove refl 3603 def 3592 remove assume appThm eqMp sym 33 ref 544 ref 3413 ref appThm 400 ref appThm 3412 ref trans appThm 1156 ref 400 ref appThm 3412 ref trans appThm nil 166 ref 1274 remove cons nil cons 3604 def nil cons cons 225 ref subst 3605 def trans sym 105 ref eqMp eqMp eqMp nil 112 ref 3593 ref cons 114 ref 3590 ref cons nil cons 3606 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 3591 remove 91 ref appTerm 3607 def nil cons 3608 def cons 3594 remove cons nil cons cons 3609 def 86 ref subst 3609 remove 151 ref subst 3601 remove "_10535" 19 ref var 3610 def 23 ref 75 ref 251 ref 3610 remove varTerm 3611 def appTerm 1154 ref appTerm appTerm 34 ref 3611 remove appTerm 3612 def appTerm appTerm 1155 ref 3612 remove appTerm appTerm absTerm 91 ref appTerm betaConv appThm 3602 remove 23 ref 75 ref 1347 ref 1154 ref appTerm appTerm 415 ref appTerm appTerm 1155 ref 415 ref appTerm appTerm refl appThm trans 3603 remove 3607 remove assume appThm eqMp sym 33 ref 544 ref 2238 ref 1351 ref subst appThm 417 ref appThm 1096 ref trans appThm 1156 ref 417 ref appThm 2238 ref 1106 ref subst 3613 def trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 3608 remove cons 3614 def 3606 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 3583 ref appTerm 3615 def betaConv 255 ref nil 256 ref 68 ref 3615 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 3583 ref nil cons 3616 def cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 3614 remove 114 ref 3593 remove cons 261 ref 3590 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp eqMp nil 112 ref 1180 ref cons 3617 def 114 ref 3577 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 3550 ref 3576 remove appTerm nil cons cons 68 ref 3552 remove 3543 ref 3548 remove appTerm 3618 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 3551 ref nil cons 3619 def cons 3620 def 68 ref 3618 remove nil cons 3621 def cons nil cons cons nil cons cons 3622 def 86 ref subst 3622 remove 151 ref subst nil 11 ref 3554 remove cons 3579 remove cons nil cons cons 381 ref subst 55 ref 1134 ref 33 ref 3580 remove 2769 ref 3585 ref appThm trans appThm nil 4 ref 3556 remove cons 3623 def 1158 ref cons nil cons cons 1178 ref subst 1268 ref 3586 remove appThm trans appThm absThm appThm trans sym nil 144 ref 1134 ref 23 ref 2771 ref 3584 ref appTerm appTerm 1267 ref 3588 remove appTerm appTerm 3624 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 3624 remove nil cons 3625 def cons nil cons nil cons cons 106 ref subst nil 67 ref 23 ref 1154 ref appTerm 3626 def 171 ref appTerm 3627 def nil cons 3628 def cons 68 ref 3625 ref cons nil cons 3629 def cons nil cons cons 3630 def 86 ref subst 3630 remove 151 ref subst 23 ref "_10541" 19 ref var 3631 def 23 ref 75 ref 1267 ref 3631 remove varTerm 3632 def appTerm appTerm 3584 ref appTerm appTerm 1267 ref 75 ref 3632 remove appTerm 3584 ref appTerm appTerm appTerm absTerm 3633 def 1154 ref appTerm 3634 def appTerm refl 3635 def 3633 ref 171 ref appTerm betaConv appThm 33 ref 3634 remove betaConv appThm 3636 def 23 ref 75 ref 1267 ref 171 ref appTerm appTerm 3584 ref appTerm appTerm 1267 ref 545 ref 3584 ref appTerm appTerm appTerm refl appThm trans 3633 remove refl 3637 def 3627 remove assume appThm eqMp sym 33 ref 544 ref 2240 ref 1186 ref subst 3638 def appThm 3585 ref appThm appThm 1268 ref nil 99 ref 3584 ref nil cons 3639 def cons nil cons nil cons cons 3640 def 549 ref subst 3641 def appThm 3638 remove trans appThm sym nil 3402 ref 68 ref 23 ref 2712 ref 3584 ref appTerm appTerm 1200 ref appTerm nil cons 3642 def cons nil cons 3643 def cons nil cons cons 3644 def 86 ref subst 3644 remove 151 ref subst 33 ref 544 ref 3409 ref appThm 3585 ref appThm 3641 remove trans appThm 3409 remove appThm 554 ref trans sym 105 ref eqMp eqMp nil 3414 ref 114 ref 3642 ref cons nil cons 3645 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2226 ref 3643 remove cons nil cons cons 3646 def 86 ref subst 3646 remove 151 ref subst 33 ref 544 ref 3419 ref appThm 3647 def 35 ref 3418 remove 297 ref refl 3648 def appThm nil 3620 remove 68 ref 299 remove 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 3617 remove nil cons nil cons cons 1095 ref subst eqMp trans appThm 400 ref trans 3649 def appThm 941 ref trans appThm 3419 remove appThm 527 ref trans sym 105 ref eqMp eqMp nil 2231 ref 3645 remove cons nil cons cons 127 ref subst deductAntisym eqMp 3423 ref nil 2231 ref 3424 ref 261 ref 3642 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 112 ref 3628 ref cons 114 ref 3625 ref cons nil cons 3650 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 3626 ref 91 ref appTerm 3651 def nil cons 3652 def cons 3629 remove cons nil cons cons 3653 def 86 ref subst 3653 remove 151 ref subst 3635 remove "_10539" 19 ref var 3654 def 23 ref 75 ref 1267 ref 3654 remove varTerm 3655 def appTerm appTerm 3584 ref appTerm appTerm 1267 ref 75 ref 3655 remove appTerm 3584 ref appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 3636 remove 23 ref 75 ref 1267 ref 91 ref appTerm appTerm 3584 ref appTerm appTerm 1267 ref 558 ref 3584 ref appTerm appTerm appTerm refl appThm trans 3637 remove 3651 remove assume appThm eqMp sym 33 ref 544 ref 2241 ref appThm 3585 ref appThm 3640 ref 562 ref subst 3656 def trans appThm 1268 ref 3656 remove appThm appThm sym nil 3402 ref 68 ref 23 ref 3584 ref appTerm 3657 def 1267 ref 3584 remove appTerm appTerm nil cons 3658 def cons nil cons 3659 def cons nil cons cons 3660 def 86 ref subst 3660 remove 151 ref subst 3657 remove refl 3410 ref 3585 remove appThm 3640 remove 1308 ref subst trans appThm nil 166 ref 3639 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp nil 3414 ref 114 ref 3658 ref cons nil cons 3661 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2226 ref 3659 remove cons nil cons cons 3662 def 86 ref subst 3662 remove 151 ref subst 33 ref 3649 ref appThm 3420 ref 3649 remove appThm 371 ref 1351 ref subst 3663 def trans appThm 527 ref trans sym 105 ref eqMp eqMp nil 2231 ref 3661 remove cons nil cons cons 127 ref subst deductAntisym eqMp 3423 ref nil 2231 ref 3424 ref 261 ref 3658 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 112 ref 3652 remove cons 3664 def 3650 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 1154 ref appTerm 3665 def betaConv 255 ref nil 256 ref 68 ref 3665 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 3604 remove cons nil cons cons 161 ref subst eqMp eqMp nil 3664 remove 114 ref 3628 remove cons 261 ref 3625 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp eqMp nil 112 ref 3619 remove cons 114 ref 3621 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp 3666 def subst nil "z" 3 ref var 3667 def 3396 ref cons 1667 ref 1132 ref cons nil cons cons nil cons cons 308 ref 2946 ref nil cons 3668 def cons 218 ref cons 3545 ref 18 ref 19 ref 18 ref 721 ref 18 ref 721 ref 722 ref cons opType nil cons 3669 def cons opType nil cons cons opType constTerm 3670 def refl 3671 def 224 ref appThm 832 ref appThm "z" 721 ref var 3672 def varTerm 3673 def refl appThm nil "t2" 721 ref var 3674 def 3673 ref nil cons 3675 def cons "t1" 721 ref var 3676 def 845 ref cons nil cons cons nil cons cons 897 ref "t2" 1 ref var 3677 def 220 ref 3560 ref 91 ref appTerm "t1" 1 ref var 3678 def varTerm 3679 def appTerm 3677 ref varTerm 3680 def appTerm appTerm 3679 ref appTerm absTerm 3681 def 3680 ref appTerm 3682 def betaConv 3678 ref 54 ref 3681 ref appTerm 3683 def absTerm 3684 def 3679 ref appTerm 3685 def betaConv nil 54 ref 3684 ref appTerm 3686 def axiom nil 67 ref 3686 remove nil cons cons 68 ref 3685 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3684 remove nil cons cons 41 ref 3679 ref nil cons cons nil cons 3687 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3683 remove nil cons cons 68 ref 3682 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3681 remove nil cons cons 41 ref 3680 ref nil cons cons nil cons 3688 def cons nil cons cons 161 ref subst eqMp eqMp subst 3689 def subst trans subst 3690 def subst trans appThm 1394 ref appThm 2745 ref trans appThm 467 remove appThm 2746 remove trans absThm appThm 526 ref trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 41 ref 288 ref 4 ref 23 ref 27 ref 3541 remove 45 ref appTerm appTerm 28 ref appTerm appTerm 50 ref appTerm absTerm appTerm absTerm appTerm thm 1098 remove nil 1099 remove thm nil 317 ref 4 ref 812 ref 783 ref 27 ref 1389 ref 18 ref 18 ref 724 ref 2 ref cons opType 3691 def 18 ref 726 ref 322 ref cons opType nil cons cons opType constTerm "Data.Pair.fst" const 3691 ref constTerm 3692 def appTerm 3693 def 790 ref appTerm 3694 def appTerm 3695 def 3546 ref 1516 ref appTerm 13 ref appTerm 28 ref appTerm 3696 def appTerm 3697 def absTerm 3698 def appTerm 3699 def absTerm 3700 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 3699 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 3698 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 3697 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_11748" 3 ref var 3701 def 3695 ref 3701 remove varTerm appTerm absTerm 3702 def 3696 remove appTerm betaConv appThm 544 ref 69 ref 1516 ref appTerm 3703 def refl 3702 ref 13 ref appTerm betaConv appThm appThm 69 ref 34 ref 1516 ref appTerm 3704 def appTerm 3705 def refl 3702 ref 28 ref appTerm betaConv appThm appThm appThm nil 3553 ref 357 ref cons 3555 ref 14 remove cons 3557 ref 1516 ref nil cons 3706 def cons nil cons cons cons nil cons cons nil 3558 ref 3702 remove nil cons cons nil cons nil cons cons 3575 ref subst subst eqMp sym nil 67 ref 3706 ref cons 3707 def 68 ref 3695 ref 13 ref appTerm 3708 def nil cons 3709 def cons nil cons cons nil cons cons 3710 def 86 ref subst 3710 remove 151 ref subst 3693 remove refl 788 ref refl 3711 def 1516 ref assume 3712 def appThm 1615 ref 28 ref appTerm 3713 def betaConv 1614 remove nil 67 ref 1616 remove nil cons cons 68 ref 3713 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1615 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp trans appThm nil "f" 3691 ref var 3692 ref nil cons cons 3714 def nil cons nil cons cons 740 ref 1400 ref cons 218 ref cons 3715 def 2891 ref subst subst trans eqMp nil 112 ref 3706 ref cons 3716 def 114 ref 3709 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 3703 remove 3708 remove appTerm nil cons cons 68 ref 3705 remove 3695 remove 28 ref appTerm 3717 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 3704 ref nil cons 3718 def cons 3719 def 68 ref 3717 remove nil cons 3720 def cons nil cons cons nil cons cons 3721 def 86 ref subst 3721 remove 151 ref subst nil 596 ref 4 ref 3694 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil 1524 ref 3714 remove 1398 ref cons cons nil cons cons 3715 remove 1469 ref subst subst appThm 634 ref appThm absThm appThm trans sym nil 144 ref 41 ref 23 ref 36 ref 745 remove constTerm 3722 def 748 ref 75 ref 221 ref 3692 ref 752 ref appTerm appTerm 3723 def appTerm 1526 ref appTerm absTerm appTerm appTerm 49 ref appTerm 3724 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3724 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 3722 ref refl 3725 def 748 ref nil 659 ref 1526 ref nil cons cons 3726 def 661 ref 3723 ref nil cons cons nil cons cons nil cons cons 678 ref subst absThm appThm appThm 634 ref appThm sym 33 ref 33 ref 3725 ref 748 ref 75 ref 1526 ref appTerm refl 3727 def 748 ref 3723 remove absTerm 3728 def 752 ref appTerm betaConv appThm absThm appThm appThm 40 ref 1134 ref 826 ref 795 ref 1156 ref 75 ref 807 ref appTerm 3729 def refl 3730 def 3728 ref 762 ref 1137 ref appTerm 799 ref appTerm appTerm betaConv appThm appThm absThm appThm absThm appThm appThm nil 766 ref 3728 remove nil cons cons nil cons nil cons cons 33 ref 3725 ref "z" 724 ref var 3731 def 3731 ref 75 ref 751 ref 3731 ref varTerm 3732 def appTerm 790 ref appTerm 3733 def appTerm 767 ref 3732 ref appTerm 3734 def appTerm absTerm 3735 def 3732 ref appTerm betaConv absThm appThm appThm 40 ref 452 ref 826 ref 759 ref 3735 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 3735 ref nil cons cons nil cons nil cons cons 766 ref 23 ref 3722 ref 769 remove appTerm appTerm 39 ref 452 ref 794 ref 771 remove appTerm absTerm appTerm appTerm absTerm 3736 def 767 ref appTerm 3737 def betaConv nil 774 ref 3736 ref appTerm 3738 def axiom nil 67 ref 3738 remove nil cons cons 68 ref 3737 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 777 ref 778 ref 3736 remove nil cons cons 779 remove cons nil cons cons 161 ref subst eqMp eqMp 3739 def subst eqMp 40 ref 452 ref 826 ref 759 ref 544 ref 1538 ref appThm 3740 def 770 ref refl 3741 def appThm nil 1272 ref 770 ref nil cons 3742 def cons 1559 remove cons nil cons cons 1977 ref subst trans absThm appThm absThm appThm trans 3743 def subst eqMp 40 ref 1134 ref 826 ref 795 ref 1156 ref 3730 ref 1470 ref nil 1535 remove 452 ref 1138 ref cons nil cons cons nil cons cons 759 ref 220 ref 3692 remove 765 ref appTerm appTerm 453 ref appTerm absTerm 3744 def 764 ref appTerm 3745 def betaConv 452 ref 757 ref 3744 ref appTerm 3746 def absTerm 3747 def 453 ref appTerm 3748 def betaConv nil 54 ref 3747 ref appTerm 3749 def axiom nil 67 ref 3749 remove nil cons cons 68 ref 3748 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3747 remove nil cons cons 868 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3746 remove nil cons cons 68 ref 3745 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 3744 remove nil cons cons 874 ref cons nil cons cons 161 ref subst eqMp eqMp subst appThm appThm appThm absThm appThm absThm appThm trans appThm 634 ref appThm sym nil 67 ref 39 ref 1134 ref 794 ref 795 ref 1155 ref 3729 ref 1472 ref appTerm 3750 def appTerm 3751 def absTerm 3752 def appTerm 3753 def absTerm 3754 def appTerm 3755 def nil cons 3756 def cons 1706 ref cons nil cons cons 348 ref subst nil 144 ref 1134 ref 69 ref 3754 ref 1137 ref appTerm 3757 def appTerm 49 ref appTerm 3758 def absTerm 3759 def nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 3758 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3757 ref nil cons 3760 def cons 1706 ref cons nil cons cons 3761 def 86 ref subst 3761 remove 151 ref subst 3757 ref betaConv 3757 remove assume eqMp nil 67 ref 3753 ref nil cons cons 1706 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 69 ref 3752 ref 799 ref appTerm 3762 def appTerm 49 ref appTerm 3763 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 3763 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3762 ref nil cons 3764 def cons 1706 ref cons nil cons cons 3765 def 86 ref subst 3765 remove 151 ref subst 3762 ref betaConv 3762 remove assume eqMp nil 67 ref 3751 remove nil cons 3766 def cons 1706 ref cons nil cons cons 3767 def 136 ref subst proveHyp 3767 ref 86 ref subst 3767 remove 151 ref subst nil 2223 ref 114 ref 3750 remove nil cons cons nil cons cons nil cons cons 3768 def 127 ref subst 3768 remove 347 ref subst nil 112 ref 807 ref nil cons 3769 def cons 3770 def 114 ref 1472 ref nil cons 3771 def cons nil cons cons nil cons cons 347 ref subst 44 ref refl 3772 def 1472 ref assume 3773 def appThm 3774 def 1394 ref appThm 3775 def 2239 ref trans sym 105 ref eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 3766 remove cons 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 3764 remove cons 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 3752 ref 910 ref appTerm appTerm 49 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 3753 remove appTerm 49 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 3752 remove nil cons cons 1878 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 3760 remove cons 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 3759 remove appTerm nil cons cons 68 ref 69 ref 3755 ref appTerm 49 ref appTerm nil cons 3776 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3754 ref nil cons cons 3777 def 1878 ref cons nil cons cons 929 ref subst eqMp nil 67 ref 3776 remove cons 68 ref 690 ref 3755 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1015 ref 68 ref 3756 ref cons nil cons cons nil cons cons 3778 def 86 ref subst 3778 remove 151 ref subst 3754 remove 45 ref appTerm betaConv sym 826 ref 795 ref 1923 ref 3730 remove 224 ref appThm nil 99 ref 3769 ref cons nil cons nil cons cons 3779 def 1362 ref subst trans appThm 3779 ref 562 ref subst 3780 def trans absThm appThm nil 1550 ref nil cons cons 3781 def 897 ref 2200 ref 28 ref appTerm 3782 def betaConv 2197 ref nil 67 ref 2201 remove nil cons cons 68 ref 3782 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2200 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 3783 def subst subst 35 ref nil 3719 ref 68 ref 23 ref 1516 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 3716 ref nil cons nil cons cons 1095 ref subst eqMp 3784 def appThm 400 ref trans trans trans sym 105 ref eqMp eqMp 309 ref 3777 remove 311 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 1731 ref 114 ref 3756 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 3718 ref cons 3785 def 114 ref 3720 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 3700 remove appTerm thm nil 317 ref 4 ref 812 ref 783 ref 1433 ref 1389 ref 18 ref 18 ref 724 ref 722 ref cons opType 3786 def 18 ref 726 ref 817 ref cons opType nil cons cons opType constTerm "Data.Pair.snd" const 3786 ref constTerm 3787 def appTerm 3788 def 790 ref appTerm 3789 def appTerm 3790 def 3545 ref 18 ref 19 ref 18 ref 731 ref 2757 remove cons opType 3791 def nil cons cons opType constTerm 1513 ref appTerm 1509 ref appTerm 3792 def 789 ref appTerm 3793 def appTerm 3794 def absTerm 3795 def appTerm 3796 def absTerm 3797 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 3796 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 3795 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 3794 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_11754" 731 ref var 3798 def 3790 ref 3798 remove varTerm appTerm absTerm 3799 def 3793 remove appTerm betaConv appThm 544 ref 69 ref 1513 ref appTerm 3800 def refl 3801 def 3799 ref 1509 ref appTerm betaConv appThm appThm 69 ref 2198 ref appTerm 3802 def refl 3803 def 3799 ref 789 ref appTerm betaConv appThm appThm appThm nil "_485" 731 ref var 3804 def 822 remove cons "_482" 731 ref var 1510 ref cons 3557 ref 1608 ref cons nil cons cons 3805 def cons nil cons cons nil "_484" 803 ref var 3806 def 3799 remove nil cons cons nil cons nil cons cons 1599 ref 3574 ref subst 3807 def subst subst eqMp sym nil 67 ref 1608 ref cons 3808 def 68 ref 3790 ref 1509 ref appTerm 3809 def nil cons 3810 def cons nil cons cons nil cons cons 3811 def 86 ref subst 3811 remove 151 ref subst 3788 remove refl 736 ref refl 3812 def 1513 ref assume 3813 def appThm 789 ref refl 3814 def appThm 3781 ref 1624 ref 1617 ref appTerm 3815 def betaConv 1623 remove nil 67 ref 1625 remove nil cons cons 68 ref 3815 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 1624 remove nil cons cons 821 ref 1618 remove cons nil cons 3816 def cons nil cons cons 161 ref subst eqMp eqMp subst trans appThm nil "f" 3786 ref var 3787 ref nil cons cons 3817 def nil cons nil cons cons 740 remove 3061 ref cons 218 ref cons 3818 def 2891 ref subst subst trans eqMp nil 112 ref 1608 remove cons 3819 def 114 ref 3810 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 3800 ref 3809 remove appTerm nil cons cons 68 ref 3802 ref 3790 remove 789 ref appTerm 3820 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 2198 ref nil cons 3821 def cons 3822 def 68 ref 3820 remove nil cons 3823 def cons nil cons cons nil cons cons 3824 def 86 ref subst 3824 remove 151 ref subst nil 1548 ref 3789 remove nil cons cons nil cons nil cons cons 1551 ref subst 758 ref 872 ref 33 ref nil 1524 ref 3817 remove 2408 ref cons cons nil cons cons 3818 remove 1469 ref subst subst appThm 2919 ref appThm absThm appThm trans sym nil 871 ref 795 ref 23 ref 3722 ref 748 ref 75 ref 1411 ref 3787 ref 752 ref appTerm appTerm 3825 def appTerm 1526 ref appTerm absTerm appTerm appTerm 807 ref appTerm 3826 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 3826 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 3725 ref 748 ref nil 3726 remove 661 ref 3825 ref nil cons cons nil cons cons nil cons cons 678 ref subst absThm appThm appThm 807 ref refl 3827 def appThm sym 33 ref 33 ref 3725 ref 748 ref 3727 remove 748 ref 3825 remove absTerm 3828 def 752 ref appTerm betaConv appThm absThm appThm appThm 40 ref 41 ref 826 ref "y'" 721 ref var 3829 def 1357 ref 75 ref 805 ref 3829 ref varTerm 3830 def appTerm 789 ref appTerm 3831 def appTerm 3832 def refl 3833 def 3828 ref 798 ref 3830 ref appTerm appTerm betaConv appThm appThm absThm appThm absThm appThm appThm nil 766 ref 3828 remove nil cons cons nil cons nil cons cons 3743 ref subst eqMp 40 ref 41 ref 826 ref 3829 ref 1357 ref 3833 remove 1411 ref refl 3834 def nil 759 ref 3830 ref nil cons cons 1479 ref cons nil cons cons 759 ref 853 ref 3787 remove 765 ref appTerm appTerm 764 ref appTerm absTerm 3835 def 764 ref appTerm 3836 def betaConv 452 ref 757 ref 3835 ref appTerm 3837 def absTerm 3838 def 453 ref appTerm 3839 def betaConv nil 54 ref 3838 ref appTerm 3840 def axiom nil 67 ref 3840 remove nil cons cons 68 ref 3839 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3838 remove nil cons cons 868 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3837 remove nil cons cons 68 ref 3836 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 3835 remove nil cons cons 874 ref cons nil cons cons 161 ref subst eqMp eqMp subst appThm appThm appThm absThm appThm absThm appThm trans appThm 3827 ref appThm sym nil 67 ref 39 ref 41 ref 794 ref 3829 ref 621 ref 3832 remove 1411 ref 3830 ref appTerm 3841 def appTerm 3842 def appTerm 3843 def absTerm 3844 def appTerm 3845 def absTerm 3846 def appTerm 3847 def nil cons 3848 def cons 68 ref 3769 ref cons nil cons 3849 def cons nil cons cons 348 ref subst nil 144 ref 41 ref 69 ref 3846 ref 45 ref appTerm 3850 def appTerm 807 ref appTerm 3851 def absTerm 3852 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3851 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3850 ref nil cons 3853 def cons 3849 ref cons nil cons cons 3854 def 86 ref subst 3854 remove 151 ref subst 3850 ref betaConv 3850 remove assume eqMp nil 67 ref 3845 ref nil cons cons 3849 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 3829 ref 69 ref 3844 ref 3830 ref appTerm 3855 def appTerm 807 ref appTerm 3856 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 3829 ref nil 99 ref 3856 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3855 ref nil cons 3857 def cons 3849 ref cons nil cons cons 3858 def 86 ref subst 3858 remove 151 ref subst 3855 ref betaConv 3859 def 3855 remove assume eqMp nil 67 ref 3843 ref nil cons 3860 def cons 3849 ref cons nil cons cons 3861 def 136 ref subst proveHyp 3861 ref 86 ref subst 3861 remove 151 ref subst nil 1731 ref 114 ref 3842 remove nil cons cons nil cons cons nil cons cons 347 ref subst nil 112 ref 3831 ref nil cons 3862 def cons 114 ref 3841 ref nil cons cons nil cons cons nil cons cons 3863 def 127 ref subst 3863 remove 347 ref subst 3146 ref 3841 remove assume appThm 3814 ref appThm nil 99 ref 3862 remove cons nil cons nil cons cons 106 ref subst 3831 remove assume eqMp trans sym 105 ref eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 3860 remove cons 114 ref 3769 ref cons nil cons 3864 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 3857 remove cons 3864 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 3844 ref 910 ref appTerm appTerm 807 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 3845 remove appTerm 807 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 3844 ref nil cons cons 3864 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 3853 remove cons 3864 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 3852 remove appTerm nil cons cons 68 ref 69 ref 3847 ref appTerm 807 ref appTerm nil cons 3865 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3846 remove nil cons cons 3864 ref cons nil cons cons 929 ref subst eqMp nil 67 ref 3865 remove cons 68 ref 69 ref 807 ref appTerm 3866 def 3847 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 3769 ref cons 3867 def 68 ref 3848 ref cons nil cons cons nil cons cons 3868 def 86 ref subst 3868 remove 151 ref subst 33 ref 40 ref 41 ref 826 ref 3829 ref 41 ref 3844 remove absTerm 3869 def 45 ref appTerm betaConv 3830 ref refl appThm 3859 remove trans 3870 def absThm appThm absThm appThm appThm 826 ref 3829 ref 40 ref 41 ref 3870 remove absThm appThm absThm appThm appThm nil 837 ref 3869 remove nil cons cons nil cons nil cons cons 2959 ref subst eqMp sym 3829 ref 39 ref 41 ref 3843 remove absTerm appTerm absTerm 3871 def 799 ref appTerm betaConv sym 40 ref 41 ref 1357 ref 544 ref 3779 ref 106 ref subst 807 ref assume eqMp 3872 def appThm nil 1462 ref nil cons cons 3873 def 940 ref subst 3874 def appThm 941 ref trans appThm 1363 ref trans absThm appThm 3783 ref 35 ref nil 3822 ref 68 ref 23 ref 1513 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 3819 ref nil cons nil cons cons 1095 ref subst eqMp 3875 def appThm 400 ref trans 3876 def trans trans sym 105 ref eqMp eqMp 870 ref 871 ref 3871 remove nil cons cons 1462 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp nil 3770 ref 114 ref 3848 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 3821 ref cons 3877 def 114 ref 3823 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 3797 remove appTerm thm 1663 ref 488 ref 33 ref nil 481 ref 2531 ref cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 516 ref appThm 3878 def 475 ref appThm nil 99 ref 2558 remove cons nil cons nil cons cons 3879 def 247 ref subst trans absThm appThm trans appThm 292 ref 11 ref 2540 ref refl 3880 def nil 481 remove 638 ref cons nil cons cons 381 ref subst 55 ref 41 ref 48 ref refl 3881 def 475 ref appThm 519 ref 247 ref subst trans absThm appThm trans appThm absThm appThm appThm absThm appThm sym 1663 ref 488 ref 33 ref 33 ref 55 ref 41 ref 292 ref 11 ref 41 ref 2542 remove absTerm 3882 def 45 ref appTerm betaConv 1036 ref appThm 2594 ref trans 3883 def absThm appThm absThm appThm appThm 292 ref 11 ref 55 ref 41 ref 3883 remove absThm appThm absThm appThm appThm nil "p" 43 remove var 3882 remove nil cons cons nil cons nil cons cons 2946 remove 309 ref cons 218 ref cons 837 ref 23 ref 54 ref 41 ref 757 ref 2948 remove appTerm absTerm appTerm appTerm 757 ref 795 ref 54 ref 2949 remove appTerm absTerm appTerm appTerm absTerm 3884 def 838 ref appTerm 3885 def betaConv nil 2953 ref 3884 ref appTerm 3886 def axiom nil 67 ref 3886 remove nil cons cons 68 ref 3885 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2955 ref 2956 ref 3884 remove nil cons cons 2958 ref cons nil cons cons 161 ref subst eqMp eqMp 3887 def subst subst eqMp appThm 288 ref 11 ref 2540 ref 54 ref 2113 ref appTerm appTerm absTerm appTerm refl appThm absThm appThm sym 1663 ref 488 ref 23 ref 288 ref 11 ref 54 ref 41 ref 2541 ref absTerm appTerm absTerm appTerm 3888 def appTerm refl 292 ref 11 ref 33 ref 3880 ref 55 ref 41 ref 2115 ref absThm appThm appThm appThm 55 ref 41 ref 3880 ref 2115 ref appThm absThm appThm appThm nil 1568 ref 2116 ref cons 2142 ref nil cons cons nil cons cons 1568 ref 23 ref 71 ref 1573 remove appTerm appTerm 54 ref 41 ref 71 ref 1571 ref appTerm absTerm 3889 def appTerm appTerm absTerm 3890 def 1570 ref appTerm 3891 def betaConv 67 ref 65 ref 3890 ref appTerm 3892 def absTerm 3893 def 70 ref appTerm 3894 def betaConv nil 198 ref 3893 ref appTerm 3895 def axiom nil 67 ref 3895 remove nil cons cons 68 ref 3894 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 3893 remove nil cons cons 1580 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3892 remove nil cons cons 68 ref 3891 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 3890 remove nil cons cons 1581 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp absThm appThm appThm nil 166 ref 3888 remove nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 371 ref 1694 remove 376 ref subst subst 3896 def trans sym 105 ref eqMp eqMp eqMp nil 506 ref 488 ref 23 ref 493 ref 6 ref appTerm appTerm 288 ref 11 ref 2540 ref 1676 remove 6 ref appTerm appTerm absTerm appTerm appTerm absTerm appTerm thm nil 510 ref 488 ref 23 ref 533 ref 13 ref appTerm appTerm 288 ref 11 ref 2540 ref 2064 ref appTerm absTerm appTerm appTerm 3897 def absTerm 3898 def nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 3897 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 15 ref 3278 ref cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 542 ref appThm 3899 def 466 ref appThm nil 99 ref 2074 ref cons nil cons nil cons cons 3900 def 217 ref subst 33 ref 35 ref 543 ref 11 ref 2087 ref absThm appThm 3901 def appThm appThm 292 ref 11 ref 35 ref 2087 ref appThm absThm appThm appThm nil 2930 ref 2091 remove cons 3902 def nil cons nil cons cons 325 ref 162 ref subst 3903 def subst eqMp 3904 def 292 ref 11 ref nil 660 remove 661 ref 2084 ref cons nil cons 3905 def cons 3906 def nil cons cons 1375 remove subst absThm appThm trans trans trans absThm appThm trans appThm 292 ref 11 ref 3880 ref nil 15 ref 638 ref cons nil cons cons 381 ref subst 55 ref 41 ref 3881 ref 466 ref appThm 519 ref 217 ref subst trans absThm appThm trans 3907 def appThm absThm appThm appThm sym nil 67 ref 54 ref 41 ref 288 ref 11 ref 251 ref 34 ref 2062 ref appTerm 3908 def appTerm 1142 ref appTerm 3909 def absTerm 3910 def appTerm 3911 def absTerm 3912 def appTerm 3913 def nil cons 3914 def cons 3915 def 68 ref 288 ref 11 ref 2540 ref 54 ref 41 ref 1142 ref absTerm 3916 def appTerm 3917 def appTerm 3918 def absTerm 3919 def appTerm 3920 def nil cons 3921 def cons nil cons cons nil cons cons 3922 def 348 ref subst 3922 ref 86 ref subst 3922 remove 151 ref subst nil 317 ref 3919 ref nil cons cons 3923 def nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 3918 ref nil cons 3924 def cons nil cons nil cons cons 106 ref subst nil 2142 ref 68 ref 3917 ref nil cons 3925 def cons nil cons cons nil cons cons 3926 def 86 ref subst 3926 remove 151 ref subst nil 144 ref 3916 ref nil cons 3927 def cons 3928 def nil cons nil cons cons 326 ref subst 41 ref 1948 ref 106 ref subst 1936 remove 1070 ref subst 3929 def nil 1819 ref 1072 ref cons nil cons cons 3930 def 86 ref subst 3931 def 3930 ref 151 ref subst 3932 def 3910 ref 30 ref appTerm 3933 def betaConv 3912 ref 45 ref appTerm 3934 def betaConv nil 3915 remove 68 ref 3934 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 3912 remove nil cons cons 3935 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3911 remove nil cons 3936 def cons 68 ref 3933 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 3910 remove nil cons cons 3937 def 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3909 ref nil cons 3938 def cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 99 ref 3938 ref cons nil cons nil cons cons 3939 def 1077 ref subst 35 ref 1259 ref 35 ref 2089 ref appThm 417 ref trans appThm 1924 remove appThm 552 ref 1308 ref subst 3940 def trans appThm 400 ref trans trans sym 105 ref eqMp eqMp eqMp nil 1935 ref 1079 ref cons nil cons cons 127 ref subst 3941 def deductAntisym eqMp eqMp eqMp absThm eqMp eqMp nil 2085 ref 114 ref 3925 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 3914 ref cons 114 ref 3921 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 3913 ref appTerm 3920 ref appTerm nil cons cons 68 ref 69 ref 3920 remove appTerm 3913 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 3921 ref cons 3942 def 68 ref 3914 ref cons nil cons cons nil cons cons 3943 def 86 ref subst 3943 remove 151 ref subst nil 3935 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3936 remove cons nil cons nil cons cons 106 ref subst nil 3937 remove nil cons nil cons cons 327 ref subst 11 ref 3939 remove 106 ref subst 3919 remove 30 ref appTerm 3944 def betaConv nil 3942 remove 68 ref 3944 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 3923 remove 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3924 remove cons 68 ref 3938 remove cons nil cons cons nil cons cons 136 ref subst proveHyp nil 67 ref 23 ref 2062 ref appTerm 3945 def 171 ref appTerm 3946 def nil cons 3947 def cons 68 ref 69 ref 3918 remove appTerm 3909 remove appTerm nil cons 3948 def cons nil cons 3949 def cons nil cons cons 3950 def 86 ref subst 3950 remove 151 ref subst 23 ref "_10545" 19 ref var 3951 def 69 ref 69 ref 3951 remove varTerm 3952 def appTerm 3917 ref appTerm appTerm 251 ref 34 ref 3952 remove appTerm appTerm 1142 ref appTerm appTerm absTerm 3953 def 2062 ref appTerm 3954 def appTerm refl 3955 def 3953 ref 171 ref appTerm betaConv appThm 33 ref 3954 remove betaConv appThm 3956 def 69 ref 520 ref 3917 ref appTerm appTerm 251 ref 397 ref appTerm 3957 def 1142 ref appTerm appTerm refl appThm trans 3953 remove refl 3958 def 3946 remove assume appThm eqMp sym 329 ref nil 99 ref 3925 ref cons nil cons nil cons cons 3959 def 524 ref subst appThm 1259 ref 400 ref appThm 3960 def 1947 ref appThm 1948 ref 1351 ref subst trans appThm 371 ref 2033 ref subst 3961 def trans sym 105 ref eqMp eqMp eqMp nil 112 ref 3947 ref cons 114 ref 3948 ref cons nil cons 3962 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 3945 remove 91 ref appTerm 3963 def nil cons 3964 def cons 3949 remove cons nil cons cons 3965 def 86 ref subst 3965 remove 151 ref subst 3955 remove "_10543" 19 ref var 3966 def 69 ref 69 ref 3966 remove varTerm 3967 def appTerm 3917 ref appTerm appTerm 251 ref 34 ref 3967 remove appTerm appTerm 1142 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 3956 remove 69 ref 2029 ref 3917 ref appTerm appTerm 251 ref 415 ref appTerm 3968 def 1142 ref appTerm appTerm refl appThm trans 3958 remove 3963 remove assume appThm eqMp sym 329 ref 3959 remove 2033 ref subst appThm 1259 ref 417 ref appThm 3969 def 1947 ref appThm 1948 ref 1308 ref subst trans appThm sym nil 67 ref 3925 ref cons 3970 def 68 ref 1871 remove cons nil cons 3971 def cons nil cons cons 3972 def 86 ref subst 3972 remove 151 ref subst 3916 remove 45 ref appTerm 3973 def betaConv 3974 def nil 3970 remove 68 ref 3973 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 3928 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp nil 112 ref 3925 remove cons 1873 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 3964 remove cons 3975 def 3962 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 2062 ref appTerm 3976 def betaConv 255 ref nil 256 ref 68 ref 3976 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 2084 remove cons nil cons 3977 def cons nil cons cons 161 ref subst eqMp eqMp nil 3975 remove 114 ref 3947 remove cons 261 ref 3948 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 3921 remove cons 114 ref 3914 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp nil 506 ref 3898 remove appTerm thm 55 ref 41 ref 55 ref 296 ref 292 ref 4 ref nil 11 ref 2203 ref 1161 ref appTerm 3978 def nil cons cons 4 ref 1122 ref 2203 remove 28 ref appTerm 3979 def appTerm 3980 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 1134 ref 33 ref nil 4 ref 3979 ref nil cons cons 1158 ref cons nil cons cons 1178 ref subst 1268 ref 1269 ref 1178 ref subst appThm nil 2248 ref 659 ref 3616 ref cons 1276 remove cons 3981 def cons nil cons cons 1295 ref subst trans trans appThm 1246 ref 1178 ref subst 3587 ref refl 1260 remove appThm nil 2248 remove 2249 ref 661 ref 3616 ref cons nil cons cons cons nil cons cons 1295 ref subst trans trans appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 144 ref 41 ref 54 ref 296 ref 288 ref 4 ref 54 ref 1134 ref 23 ref 251 ref 1267 ref 3583 ref appTerm appTerm 1154 ref appTerm appTerm 251 ref 3587 remove 1200 ref appTerm appTerm 1154 ref appTerm appTerm 3982 def absTerm 3983 def appTerm 3984 def absTerm 3985 def appTerm 3986 def absTerm 3987 def appTerm 3988 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3988 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 3987 remove nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 3986 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 3985 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 3984 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 3983 remove nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 3982 remove nil cons cons nil cons nil cons cons 106 ref subst 1259 ref nil 3981 remove nil cons cons 1342 remove subst appThm 1471 ref appThm eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 54 ref 41 ref 54 ref 296 ref 288 ref 4 ref 27 ref 3980 remove appTerm 3978 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 144 ref 41 ref 54 ref 296 ref 288 ref 4 ref 27 ref 2256 remove 297 ref appTerm appTerm 1113 ref 3547 ref appTerm 45 ref appTerm appTerm 3989 def absTerm 3990 def appTerm 3991 def absTerm 3992 def appTerm 3993 def absTerm 3994 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 3993 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 3992 remove nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 3991 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 3990 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 3989 remove nil cons cons nil cons nil cons cons 106 ref subst 640 ref nil 313 remove 2251 remove cons nil cons cons 1205 ref subst 2254 ref 2204 ref refl appThm trans appThm nil 3623 remove nil cons nil cons cons 1205 ref subst 2253 remove 1160 ref 1205 ref subst appThm 2255 remove appThm trans appThm sym nil 494 ref 2204 ref nil cons 3995 def cons 1849 ref cons nil cons cons 640 ref 4 ref 27 ref 1952 remove 498 ref appTerm 3996 def appTerm 3997 def 1119 ref 1320 ref 498 ref appTerm 3998 def appTerm 3999 def appTerm absTerm 4000 def 28 ref appTerm 4001 def betaConv 494 ref 288 ref 4000 ref appTerm 4002 def absTerm 4003 def 498 ref appTerm 4004 def betaConv 11 ref 288 ref 4003 ref appTerm 4005 def absTerm 4006 def 30 ref appTerm 4007 def betaConv 292 ref 11 ref 292 ref 494 ref 292 ref 4 ref nil 11 ref 3999 remove nil cons cons 4 ref 3996 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil 11 ref 498 ref nil cons 4008 def cons 4009 def 1859 remove cons nil cons cons 4010 def 1152 ref subst 1961 ref 34 ref 501 ref appTerm 4011 def refl appThm trans appThm nil 11 ref 3998 ref nil cons 4012 def cons nil cons nil cons cons 4013 def 1152 ref subst 1357 ref 35 ref nil 4009 ref 638 ref cons nil cons cons 4014 def 1258 ref subst 4015 def appThm nil 659 ref 501 ref nil cons 4016 def cons 661 ref 167 ref cons nil cons 4017 def cons nil cons cons 659 ref 23 ref 34 ref 1281 remove appTerm appTerm 75 ref 1367 ref appTerm 1368 ref appTerm appTerm absTerm 4018 def 667 ref appTerm 4019 def betaConv 661 ref 198 ref 4018 ref appTerm 4020 def absTerm 4021 def 665 ref appTerm 4022 def betaConv nil 198 ref 4021 ref appTerm 4023 def axiom nil 67 ref 4023 remove nil cons cons 68 ref 4022 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 4021 remove nil cons cons 676 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4020 remove nil cons cons 68 ref 4019 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 4018 remove nil cons cons 677 ref cons nil cons cons 161 ref subst eqMp eqMp 4024 def subst trans appThm nil 1272 ref 4011 ref nil cons 4025 def cons 1963 remove cons nil cons cons 1272 ref 23 ref 1965 remove appTerm 1964 remove appTerm 4026 def absTerm 4027 def 1279 remove appTerm 4028 def betaConv 659 ref 198 ref 4027 ref appTerm 4029 def absTerm 4030 def 667 ref appTerm 4031 def betaConv 661 ref 198 ref 4030 ref appTerm 4032 def absTerm 4033 def 665 ref appTerm 4034 def betaConv 1292 ref 661 ref 1292 ref 659 ref 1292 ref 1272 ref 4026 remove assume sym 1966 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 1976 remove eqMp nil 67 ref 198 ref 4033 ref appTerm nil cons cons 68 ref 4034 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 4033 remove nil cons cons 676 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4032 remove nil cons cons 68 ref 4031 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 4030 remove nil cons cons 677 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4029 remove nil cons cons 68 ref 4028 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 4027 remove nil cons cons 1294 remove cons nil cons cons 161 ref subst eqMp eqMp 4035 def subst trans trans appThm nil 166 ref 75 ref 1143 ref appTerm 4036 def 4011 ref appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp 4037 def nil 67 ref 288 ref 4006 ref appTerm 4038 def nil cons cons 68 ref 4007 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4006 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4005 remove nil cons cons 68 ref 4004 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4003 remove nil cons cons 356 ref 4008 ref cons nil cons 4039 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4002 remove nil cons cons 68 ref 4001 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4000 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 4040 def appThm nil 494 ref 360 ref cons 4041 def 4009 ref nil cons 4042 def cons nil cons cons 4043 def 4040 ref subst appThm sym 1119 ref refl 4044 def 4014 ref 1345 ref subst 4045 def appThm eqMp 4046 def subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 54 ref 3994 remove appTerm thm nil 144 ref 41 ref 288 ref 4 ref 288 ref 11 ref 23 ref 3382 ref appTerm 4047 def 1843 remove 30 ref appTerm appTerm 4048 def absTerm 4049 def appTerm 4050 def absTerm 4051 def appTerm 4052 def absTerm 4053 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4052 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4051 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4050 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4049 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4048 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 2001 ref 1037 ref 1316 ref subst 4054 def appThm 4055 def appThm 1848 remove 1036 ref appThm appThm sym nil 4041 ref 1849 remove cons nil cons cons 4056 def 33 ref 4013 ref 700 ref subst 55 ref 41 ref 705 ref 4015 ref appThm absThm appThm trans appThm 4010 remove 700 ref subst 55 ref 41 ref 1861 remove 501 ref refl 4057 def appThm absThm appThm trans appThm sym nil 67 ref 54 ref 41 ref 690 ref 1330 remove 501 ref appTerm 4058 def appTerm 4059 def absTerm 4060 def appTerm 4061 def nil cons 4062 def cons 4063 def 68 ref 54 ref 41 ref 1862 remove 501 ref appTerm 4064 def absTerm 4065 def appTerm 4066 def nil cons 4067 def cons nil cons cons nil cons cons 4068 def 348 ref subst 4068 ref 86 ref subst 4068 remove 151 ref subst nil 144 ref 4065 ref nil cons cons 4069 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4064 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1869 ref 68 ref 4016 ref cons nil cons 4070 def cons nil cons cons 4071 def 86 ref subst 4071 ref 151 ref subst 1875 ref 1874 remove 347 ref subst 4072 def 4060 ref 45 ref appTerm 4073 def betaConv nil 4063 remove 68 ref 4073 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 4060 remove nil cons cons 4074 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4059 remove nil cons 4075 def cons 4070 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 1741 ref appThm 4076 def 1259 ref 1937 ref appThm 4057 ref appThm nil 99 ref 4016 ref cons nil cons nil cons cons 4077 def 1308 ref subst trans appThm 4077 ref 2033 ref subst trans appThm 4057 ref appThm 4077 ref 409 ref subst trans sym 105 ref eqMp eqMp proveHyp proveHyp eqMp nil 1876 ref 114 ref 4016 ref cons nil cons 4078 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 4062 ref cons 114 ref 4067 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 4061 ref appTerm 4066 ref appTerm nil cons cons 68 ref 69 ref 4066 remove appTerm 4061 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 4067 ref cons 4079 def 68 ref 4062 ref cons nil cons cons nil cons cons 4080 def 86 ref subst 4080 remove 151 ref subst nil 4074 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4075 remove cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 4058 ref nil cons 4081 def cons nil cons 4082 def cons nil cons cons 4083 def 86 ref subst 4083 remove 151 ref subst nil 1931 ref 4070 ref cons nil cons cons 4084 def 86 ref subst 4084 remove 151 ref subst 1923 ref 1938 remove appThm 941 ref trans sym 105 ref eqMp 4071 remove 136 ref subst proveHyp 4065 remove 45 ref appTerm 4085 def betaConv nil 4079 remove 68 ref 4085 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 4069 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 1939 ref 4078 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 1142 ref appTerm 4086 def 501 ref appTerm nil cons cons 4082 remove cons nil cons cons 136 ref subst proveHyp nil 163 ref 4016 ref cons 168 ref cons nil cons cons nil 174 ref 68 ref 69 ref 69 ref 386 remove appTerm 4087 def 175 ref appTerm appTerm 1645 remove 175 ref appTerm 4088 def appTerm nil cons 4089 def cons nil cons 4090 def cons nil cons cons 4091 def 86 ref subst 4091 remove 151 ref subst 23 ref "_10475" 19 ref var 4092 def 69 ref 69 ref 34 ref 4092 remove varTerm 4093 def appTerm appTerm 175 ref appTerm appTerm 251 ref 4093 remove appTerm 175 ref appTerm appTerm absTerm 4094 def 169 ref appTerm 4095 def appTerm refl 4096 def 4094 ref 171 ref appTerm betaConv appThm 33 ref 4095 remove betaConv appThm 4097 def 69 ref 69 ref 397 ref appTerm 4098 def 175 ref appTerm appTerm 1304 ref 175 ref appTerm 4099 def appTerm refl appThm trans 4094 remove refl 4100 def 192 ref appThm eqMp sym 329 ref 329 ref 400 ref appThm 4101 def 402 ref appThm 206 ref 2033 ref subst 4102 def trans appThm 206 ref 1308 ref subst 4103 def appThm 410 ref trans sym 105 ref eqMp eqMp eqMp nil 227 ref 114 ref 4089 ref cons nil cons 4104 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 231 ref 4090 remove cons nil cons cons 4105 def 86 ref subst 4105 remove 151 ref subst 4096 remove "_10473" 19 ref var 4106 def 69 ref 69 ref 34 ref 4106 remove varTerm 4107 def appTerm appTerm 175 ref appTerm appTerm 251 ref 4107 remove appTerm 175 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 4097 remove 69 ref 69 ref 415 ref appTerm 4108 def 175 ref appTerm appTerm 1347 ref 175 ref appTerm 4109 def appTerm refl appThm trans 4100 remove 238 ref appThm eqMp sym 329 ref 329 ref 417 ref appThm 4110 def 402 ref appThm 206 ref 524 ref subst 4111 def trans appThm 206 ref 1351 ref subst 4112 def appThm 3961 ref trans sym 105 ref eqMp eqMp eqMp nil 250 ref 4104 remove cons nil cons cons 127 ref subst deductAntisym eqMp 259 ref nil 250 ref 260 ref 261 ref 4089 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp 4113 def subst eqMp eqMp nil 1731 ref 114 ref 4081 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 4067 remove cons 114 ref 4062 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 4114 def subst eqMp 4115 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 54 ref 4053 remove appTerm thm 1298 remove nil 1299 remove thm 55 ref 452 ref nil 11 ref 1121 remove 453 ref appTerm 4116 def 13 ref appTerm 4117 def nil cons cons 4118 def 4 ref 425 ref 426 ref 39 ref 41 ref 428 ref 2964 ref appTerm absTerm appTerm absTerm appTerm 4119 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 2964 ref absTerm 4120 def 45 ref appTerm betaConv 4121 def appThm absThm appThm absThm appThm appThm appThm 4121 remove appThm nil 56 ref 4120 ref nil cons cons nil cons nil cons cons 465 ref subst eqMp appThm nil 296 ref 867 ref cons 4122 def nil cons 4123 def nil cons cons 4124 def 1187 ref subst appThm nil 166 ref 2964 ref nil cons 4125 def cons nil cons 4126 def nil cons cons 225 ref subst trans absThm appThm 377 ref trans trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 452 ref 27 ref 4119 remove appTerm 4117 ref appTerm absTerm appTerm thm nil 317 ref 4 ref 757 ref "c" 721 ref var 4127 def 1433 ref 1405 ref 41 ref 4127 ref varTerm 4128 def absTerm 4129 def appTerm 4130 def 28 ref appTerm 4131 def appTerm 4132 def 3792 remove 2758 ref 4128 ref appTerm 1509 ref appTerm 4133 def appTerm 4134 def appTerm 4135 def absTerm 4136 def appTerm 4137 def absTerm 4138 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4137 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 4136 remove nil cons cons nil cons nil cons cons 898 ref subst 4127 remove nil 99 ref 4135 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_10589" 731 ref var 4139 def 4132 ref 4139 remove varTerm appTerm absTerm 4140 def 4134 remove appTerm betaConv appThm 544 ref 3801 remove 4140 ref 1509 ref appTerm betaConv appThm appThm 3803 remove 4140 ref 4133 ref appTerm betaConv appThm appThm appThm nil 3804 remove 4133 ref nil cons 4141 def cons 3805 remove cons nil cons cons nil 3806 remove 4140 remove nil cons cons nil cons nil cons cons 3807 remove subst subst eqMp sym nil 3808 ref 68 ref 4132 ref 1509 ref appTerm 4142 def nil cons 4143 def cons nil cons cons nil cons cons 4144 def 86 ref subst 4144 remove 151 ref subst 4130 remove refl 3813 ref appThm nil 1403 ref 4129 ref nil cons cons 4145 def nil cons nil cons cons 2891 remove subst trans eqMp nil 3819 ref 114 ref 4143 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 3800 remove 4142 remove appTerm nil cons cons 68 ref 3802 ref 4132 remove 4133 remove appTerm 4146 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 3822 ref 68 ref 4146 ref nil cons 4147 def cons nil cons 4148 def cons nil cons cons 4149 def 86 ref subst 4149 remove 151 ref subst 472 ref 2198 remove assume eqMp 4150 def nil 67 ref 2196 ref cons 4151 def 4148 ref cons nil cons cons 136 ref subst proveHyp nil 144 ref 41 ref 69 ref 2035 ref 45 ref appTerm 4152 def appTerm 4153 def 4146 ref appTerm 4154 def absTerm 4155 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4154 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4152 ref nil cons 4156 def cons 4157 def 4148 ref cons nil cons cons 4158 def 86 ref subst 4158 remove 151 ref subst 1478 ref 4152 remove assume eqMp 4159 def nil 1015 ref 4148 remove cons nil cons cons 4160 def 136 ref subst proveHyp 4160 ref 86 ref subst 4160 remove 151 ref subst nil 783 ref 4141 remove cons 1548 ref 4131 remove nil cons cons nil cons cons nil cons cons 1551 ref subst 758 ref 872 ref 33 ref nil 4145 remove 2408 ref cons nil cons cons 1469 ref subst 40 ref 41 ref 544 ref 2411 ref refl 4161 def 4129 remove 45 ref appTerm betaConv appThm appThm 634 ref appThm absThm appThm trans appThm nil 795 ref 4128 ref nil cons 4162 def cons nil cons nil cons cons 897 ref 1187 ref subst 4163 def subst appThm absThm appThm trans sym nil 871 ref 2785 ref 23 ref 39 ref 41 ref 75 ref 2787 ref 4128 ref appTerm 4164 def appTerm 4165 def 49 ref appTerm absTerm 4166 def appTerm 4167 def appTerm 4164 ref appTerm 4168 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 2785 ref nil 99 ref 4168 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4167 ref nil cons 4169 def cons 68 ref 4164 ref nil cons 4170 def cons nil cons 4171 def cons nil cons cons 348 ref subst nil 144 ref 2812 ref 69 ref 4166 ref 2813 ref appTerm 4172 def appTerm 4164 ref appTerm 4173 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 2812 ref nil 99 ref 4173 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4172 ref nil cons 4174 def cons 4171 ref cons nil cons cons 4175 def 86 ref subst 4175 remove 151 ref subst 4172 ref betaConv 4172 remove assume eqMp nil 67 ref 4165 remove 2821 ref appTerm nil cons 4176 def cons 4171 remove cons nil cons cons 4177 def 136 ref subst proveHyp 4177 ref 86 ref subst 4177 remove 151 ref subst nil 112 ref 4170 ref cons 4178 def 2862 remove nil cons 4179 def cons nil cons cons 127 ref subst eqMp nil 112 ref 4176 remove cons 114 ref 4170 ref cons nil cons 4180 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4174 remove cons 4180 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 4166 ref 45 ref appTerm 4181 def appTerm 4164 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 4167 ref appTerm 4164 ref appTerm nil cons 4182 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 4166 remove nil cons cons 4183 def 4180 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 4182 remove cons 68 ref 69 ref 4164 ref appTerm 4167 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 4170 remove cons 68 ref 4169 ref cons nil cons cons nil cons cons 4184 def 86 ref subst 4184 remove 151 ref subst 4181 remove betaConv sym 544 ref 2834 ref 4164 remove assume appThm 4128 remove refl appThm nil 872 ref 4162 remove cons nil cons nil cons cons 940 ref subst trans appThm 1741 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 4183 remove 311 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 4178 remove 114 ref 4169 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp nil 1731 ref 114 ref 4147 remove cons nil cons 4185 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4156 remove cons 4186 def 4185 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 4155 remove appTerm nil cons cons 68 ref 69 ref 2193 remove appTerm 4187 def 4146 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 2189 remove cons 4188 def 4185 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 3877 ref 4185 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 4138 remove appTerm thm 292 ref 4 ref 292 ref 11 ref 55 ref 41 ref 33 ref 2252 remove 619 ref subst nil 15 ref 4 ref 608 ref 1115 ref appTerm 30 ref appTerm 4189 def nil cons cons nil cons 4190 def cons nil cons cons 381 ref subst trans 55 ref 1134 ref 33 ref nil 2250 remove 1139 ref cons nil cons cons 632 ref subst 544 ref 1198 ref appThm 1262 ref appThm trans appThm 4191 def 2164 ref appThm nil 99 ref 75 ref 1202 ref appTerm 1261 ref appTerm 4192 def nil cons 4193 def cons nil cons nil cons cons 217 ref subst trans absThm appThm trans appThm nil 596 ref 4 ref 1113 ref 30 ref appTerm 45 ref appTerm 4194 def nil cons cons 4195 def nil cons cons nil cons cons 619 ref subst nil 15 ref 4 ref 608 ref 4194 ref appTerm 28 ref appTerm nil cons cons nil cons cons nil cons cons 381 ref subst trans 55 ref 1134 ref 33 ref nil 596 ref 4195 remove 1139 ref cons cons nil cons cons 632 ref subst 544 ref nil 1157 ref 637 ref 1139 ref cons cons nil cons cons 1197 ref subst appThm 1471 ref appThm trans appThm 2164 ref appThm nil 99 ref 75 ref 75 ref 1261 ref appTerm 4196 def 1201 ref appTerm 4197 def appTerm 1154 ref appTerm 4198 def nil cons 4199 def cons nil cons nil cons cons 217 ref subst trans absThm appThm trans appThm absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 23 ref 54 ref 1134 ref 34 ref 4192 ref appTerm absTerm appTerm appTerm 54 ref 1134 ref 34 ref 4198 ref appTerm absTerm appTerm appTerm 4200 def absTerm 4201 def appTerm 4202 def absTerm 4203 def appTerm 4204 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4204 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4203 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4202 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 4201 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4200 remove nil cons cons nil cons nil cons cons 106 ref subst 55 ref 1134 ref 35 ref nil 67 ref 4193 ref cons 4205 def 68 ref 4199 ref cons nil cons cons nil cons cons 4206 def 348 ref subst 4206 ref 86 ref subst 4206 remove 151 ref subst nil 112 ref 1203 ref cons 4207 def 3000 ref cons nil cons cons 4208 def 127 ref subst 4209 def 4208 remove 347 ref subst 4210 def nil 2223 ref 3424 ref nil cons 4211 def cons nil cons cons 4212 def 127 ref subst 4213 def 4212 remove 347 ref subst 4214 def 544 ref 544 ref 3009 ref appThm 4215 def 3411 ref appThm 941 ref trans appThm 2239 ref appThm 941 ref trans sym 105 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 4193 ref cons 4216 def 114 ref 4199 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 4192 ref appTerm 4217 def 4198 ref appTerm nil cons cons 68 ref 69 ref 4198 remove appTerm 4192 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 4199 ref cons 68 ref 4193 ref cons nil cons 4218 def cons nil cons cons 4219 def 86 ref subst 4219 remove 151 ref subst nil 112 ref 4197 remove nil cons cons 2225 ref cons nil cons cons 4220 def 127 ref subst 4220 remove 347 ref subst nil 112 ref 1273 ref cons 4221 def 4211 ref cons nil cons cons 4222 def 127 ref subst 4222 remove 347 ref subst 544 ref 544 ref 2239 ref appThm 4223 def 3411 ref appThm 941 ref trans appThm 3009 ref appThm 941 ref trans sym 105 ref eqMp 4224 def proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 4199 remove cons 114 ref 4193 remove cons nil cons 4225 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp appThm absThm appThm eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 288 ref 4 ref 288 ref 11 ref 54 ref 41 ref 23 ref 600 ref 1115 ref appTerm 30 ref appTerm appTerm 600 ref 4194 ref appTerm 28 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 27 ref 1119 ref 3357 ref appTerm appTerm 1118 ref 1115 ref appTerm 30 ref appTerm appTerm 4226 def absTerm 4227 def appTerm 4228 def absTerm 4229 def appTerm 4230 def absTerm 4231 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4230 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4229 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4228 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 4227 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4226 remove nil cons cons nil cons nil cons cons 106 ref subst 640 ref 4044 remove 4054 remove appThm appThm 2254 remove 1036 ref appThm appThm sym 27 ref 1119 ref 1218 ref 30 ref appTerm appTerm 4232 def appTerm refl 4056 ref 4040 remove subst appThm nil 356 ref 4232 remove nil cons cons nil cons nil cons cons 1108 ref subst trans sym 105 ref eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 4231 remove appTerm thm 292 ref 4 ref 292 ref 11 ref 55 ref 41 ref nil 11 ref 1113 ref 610 ref appTerm 45 ref appTerm 4233 def nil cons cons 4190 remove cons nil cons cons 381 ref subst 55 ref 1134 ref 4191 remove nil 1157 ref 649 ref 1139 ref cons cons nil cons cons 1197 ref subst 544 ref 1269 ref 632 ref subst 4234 def appThm 1201 ref refl 4235 def appThm trans appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 54 ref 1134 ref 23 ref 4192 ref appTerm 75 ref 1155 ref 1261 ref appTerm 4236 def appTerm 1201 remove appTerm 4237 def appTerm 4238 def absTerm 4239 def appTerm 4240 def absTerm 4241 def appTerm 4242 def absTerm 4243 def appTerm 4244 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4244 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4243 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4242 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 4241 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4240 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 4239 remove nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 4238 remove nil cons cons nil cons nil cons cons 106 ref subst nil 4205 remove 68 ref 4237 ref nil cons 4245 def cons nil cons cons nil cons cons 4246 def 348 ref subst 4246 ref 86 ref subst 4246 remove 151 ref subst 4209 remove 4210 remove 4213 ref 4214 remove 544 ref 4223 ref 3009 ref appThm 941 ref trans appThm 3411 remove appThm 941 ref trans sym 105 ref eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 4216 remove 114 ref 4245 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 4217 remove 4237 ref appTerm nil cons cons 68 ref 69 ref 4237 remove appTerm 4192 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 4245 ref cons 4218 remove cons nil cons cons 4247 def 86 ref subst 4247 remove 151 ref subst nil 112 ref 4236 ref nil cons 4248 def cons 4211 remove cons nil cons cons 4249 def 127 ref subst 4249 remove 347 ref subst nil 2223 ref 3000 ref cons nil cons cons 4250 def 127 ref subst 4251 def 4250 remove 347 ref subst 4252 def 4224 remove proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 4245 remove cons 4225 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 288 ref 4 ref 288 ref 11 ref 54 ref 41 ref 27 ref 4189 remove appTerm 4233 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 23 ref 687 ref 3998 ref appTerm 4253 def appTerm 4254 def 1851 remove 498 ref appTerm appTerm 4255 def absTerm 4256 def appTerm 4257 def absTerm 4258 def appTerm 4259 def absTerm 4260 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4259 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4258 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4257 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4256 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 4255 remove nil cons cons nil cons nil cons cons 106 ref subst 4114 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 4260 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 4254 remove 686 ref 1119 ref 498 ref appTerm 4261 def appTerm 30 ref appTerm 4262 def appTerm 4263 def absTerm 4264 def appTerm 4265 def absTerm 4266 def appTerm 4267 def absTerm 4268 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4267 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4266 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4265 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4264 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 4263 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 2001 ref 4045 ref appThm appThm 4262 remove refl appThm sym 4043 remove 4114 remove subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 4268 remove appTerm thm 4037 remove nil 4038 remove thm nil 317 ref 11 ref 288 ref 494 ref 288 ref 4 ref 3997 remove 1118 ref 4261 remove appTerm 30 ref appTerm appTerm 4269 def absTerm 4270 def appTerm 4271 def absTerm 4272 def appTerm 4273 def absTerm 4274 def nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4273 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4272 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 4271 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4270 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4269 remove nil cons cons nil cons nil cons cons 106 ref subst 4046 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 4274 remove appTerm thm 292 ref 4 ref 292 ref 11 ref 292 ref 494 ref nil 11 ref 609 ref 641 ref 498 ref appTerm 4275 def appTerm 4276 def nil cons cons 4 ref 608 ref 610 ref appTerm 498 ref appTerm 4277 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil 4009 ref 650 ref cons nil cons cons 4278 def 632 ref subst 544 ref 632 ref appThm 4279 def 4057 ref appThm trans appThm nil 11 ref 4275 ref nil cons 4280 def cons 4281 def nil cons nil cons cons 4282 def 632 ref subst 1357 ref 4014 ref 632 ref subst 4283 def appThm nil 1272 ref 4016 ref cons 663 remove cons nil cons cons 4284 def 4035 ref subst trans trans appThm nil 166 ref 75 ref 622 ref appTerm 4285 def 501 ref appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 288 ref 11 ref 288 ref 494 ref 27 ref 4277 remove appTerm 4276 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref 292 ref 11 ref 292 ref 494 ref nil 11 ref 1229 ref 3998 ref appTerm 4286 def nil cons cons 4 ref 1217 ref 1230 ref appTerm 498 ref appTerm 4287 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil 4009 ref 1327 ref cons nil cons cons 4288 def 1258 ref subst 1259 ref 1258 ref appThm 4057 ref appThm trans appThm 4013 ref 1258 ref subst 1765 ref 4015 ref appThm 4284 remove 1295 ref subst trans trans appThm nil 166 ref 251 ref 1249 ref appTerm 501 ref appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 377 ref trans trans absThm appThm 526 ref trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 288 ref 11 ref 288 ref 494 ref 27 ref 4287 remove appTerm 4286 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 69 ref 75 ref 955 remove appTerm 4289 def 953 remove 30 ref appTerm 498 ref appTerm 4290 def appTerm appTerm 4291 def 954 remove 498 ref appTerm 4292 def appTerm 4293 def absTerm 4294 def appTerm 4295 def absTerm 4296 def appTerm 4297 def absTerm 4298 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4297 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4296 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4295 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4294 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 4293 remove nil cons cons nil cons nil cons cons 106 ref subst 4291 remove refl nil 4042 remove nil cons cons 4299 def 974 remove subst 4300 def appThm sym 329 ref 544 ref 1100 ref appThm 4301 def 4014 ref 1100 ref subst 4302 def appThm appThm 75 ref 687 ref 498 ref appTerm 4303 def appTerm 4304 def 34 ref 29 ref 498 ref appTerm 4305 def appTerm 4306 def appTerm 4307 def refl 4308 def appThm sym nil 67 ref 75 ref 961 remove appTerm 4309 def 75 ref 958 ref 498 ref appTerm 4310 def appTerm 4311 def 34 ref 686 ref 498 ref appTerm 4312 def 30 ref appTerm 4313 def appTerm 4314 def appTerm 4315 def appTerm nil cons 4316 def cons 68 ref 4307 remove nil cons 4317 def cons nil cons 4318 def cons nil cons cons 4319 def 86 ref subst 4319 remove 151 ref subst nil 1097 ref 114 ref 4315 ref nil cons cons nil cons 4320 def cons nil cons cons 4321 def 127 ref subst 4321 remove 347 ref subst 1082 ref nil 112 ref 4310 ref nil cons 4322 def cons 114 ref 4314 remove nil cons 4323 def cons nil cons cons nil cons cons 4324 def 127 ref subst 4324 remove 347 ref subst 11 ref 957 ref 4310 ref appTerm 4325 def absTerm 4326 def 30 ref appTerm 4327 def betaConv 4328 def sym 1058 remove nil 99 ref 4322 ref cons nil cons nil cons cons 106 ref subst 4310 ref assume eqMp 4329 def appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 4326 ref nil cons cons 4330 def 361 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 534 ref 4326 ref appTerm 4331 def nil cons 4332 def cons 4333 def 68 ref 4303 ref nil cons 4334 def cons nil cons 4335 def cons nil cons cons 4336 def 136 ref subst proveHyp 494 ref 69 ref 4331 remove appTerm 4337 def 4303 ref appTerm 4338 def absTerm 4339 def 498 ref appTerm 4340 def betaConv 4 ref 288 ref 4339 ref appTerm 4341 def absTerm 4342 def 28 ref appTerm 4343 def betaConv 292 ref 4 ref 292 ref 11 ref 292 ref 494 ref 329 ref 994 ref 4014 ref 700 ref subst 4344 def appThm appThm 4299 ref 700 ref subst 4345 def appThm absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 69 ref 996 ref 54 ref 41 ref 997 ref 501 ref appTerm 4346 def absTerm 4347 def appTerm 4348 def appTerm 4349 def appTerm 54 ref 41 ref 690 ref 501 ref appTerm 4350 def absTerm 4351 def appTerm 4352 def appTerm 4353 def absTerm 4354 def appTerm 4355 def absTerm 4356 def appTerm 4357 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4357 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4356 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4355 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4354 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 4353 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4349 remove nil cons 4358 def cons 68 ref 4352 ref nil cons 4359 def cons nil cons 4360 def cons nil cons cons 4361 def 86 ref subst 4361 remove 151 ref subst nil 1008 ref 114 ref 4348 ref nil cons 4362 def cons nil cons 4363 def cons nil cons cons 4364 def 127 ref subst 4364 remove 347 ref subst nil 144 ref 4351 ref nil cons cons 4365 def nil cons nil cons cons 326 ref subst 4366 def 41 ref nil 99 ref 4350 remove nil cons cons nil cons nil cons cons 106 ref subst 4367 def nil 1015 ref 4070 ref cons nil cons cons 4368 def 86 ref subst 4369 def 4368 ref 151 ref subst 4370 def 2293 ref nil 1819 ref 4070 ref cons nil cons cons 4371 def 136 ref subst 4372 def proveHyp 4347 ref 45 ref appTerm 4373 def betaConv nil 67 ref 4362 ref cons 4374 def 68 ref 4373 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 4347 ref nil cons cons 4375 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp 4376 def eqMp eqMp nil 1731 ref 4078 ref cons nil cons cons 4377 def 127 ref subst 4378 def deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 4358 remove cons 114 ref 4359 ref cons nil cons 4379 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 4380 def nil 67 ref 288 ref 4 ref 288 ref 11 ref 288 ref 494 ref 69 ref 4325 ref appTerm 4303 ref appTerm absTerm 4381 def appTerm 4382 def absTerm 4383 def appTerm 4384 def absTerm 4385 def appTerm 4386 def nil cons 4387 def cons 4388 def 68 ref 288 ref 4342 ref appTerm nil cons 4389 def cons nil cons cons nil cons cons 4390 def 136 ref subst proveHyp 4390 ref 86 ref subst 4390 remove 151 ref subst nil 317 ref 4342 remove nil cons cons 4391 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4341 remove nil cons 4392 def cons nil cons nil cons cons 106 ref subst nil 317 ref 4339 remove nil cons cons 4393 def nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 4338 remove nil cons cons nil cons nil cons cons 106 ref subst 4336 ref 86 ref subst 4336 remove 151 ref subst nil 4388 ref 4335 ref cons nil cons cons 4394 def 136 ref subst nil 4333 remove 68 ref 69 ref 4386 ref appTerm 4303 ref appTerm 4395 def nil cons 4396 def cons nil cons 4397 def cons nil cons cons 136 ref subst nil 317 ref 11 ref 69 ref 4327 ref appTerm 4395 ref appTerm 4398 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4398 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4327 ref nil cons 4399 def cons 4397 ref cons nil cons cons 4400 def 86 ref subst 4400 remove 151 ref subst 4328 remove 4327 remove assume eqMp nil 67 ref 4325 remove nil cons 4401 def cons 4402 def 4397 remove cons nil cons cons 4403 def 136 ref subst proveHyp 4403 ref 86 ref subst 4403 remove 151 ref subst 4394 ref 86 ref subst 4394 remove 151 ref subst nil 4402 remove 4335 ref cons nil cons cons 136 ref subst 4381 ref 498 ref appTerm 4404 def betaConv 4383 ref 30 ref appTerm 4405 def betaConv 4385 ref 28 ref appTerm 4406 def betaConv nil 4388 remove 68 ref 4406 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 4385 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4384 remove nil cons cons 68 ref 4405 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4383 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4382 remove nil cons cons 68 ref 4404 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4381 remove nil cons cons 4039 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 112 ref 4387 remove cons 4407 def 114 ref 4334 ref cons nil cons 4408 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 4401 remove cons 114 ref 4396 remove cons nil cons 4409 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4399 remove cons 4409 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 4326 remove 1822 ref appTerm appTerm 4395 ref appTerm absTerm appTerm nil cons cons 68 ref 4337 remove 4395 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 4330 remove 4409 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 112 ref 4332 remove cons 4408 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 4407 remove 114 ref 4389 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 4389 remove cons 68 ref 4343 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 4391 remove 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4392 remove cons 68 ref 4340 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 4393 remove 4039 ref cons nil cons cons 161 ref subst eqMp eqMp 4410 def eqMp nil 67 ref 4334 remove cons 68 ref 4306 remove nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp 4411 def nil 112 ref 4305 ref nil cons 4412 def cons 4413 def nil cons nil cons cons 1070 ref subst 4414 def nil 67 ref 4412 remove cons 1072 ref cons nil cons cons 4415 def 86 ref subst 4416 def 4415 remove 151 ref subst 4417 def nil 1063 ref 1072 ref cons nil cons cons 136 ref subst 1056 remove 1077 ref subst 35 ref 1035 ref 4305 remove assume 4418 def appThm 1036 ref appThm nil 67 ref 4323 remove cons 68 ref 23 ref 4313 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 112 ref 4313 ref nil cons 4419 def cons 4420 def nil cons nil cons cons 1095 ref subst eqMp trans appThm 400 ref trans trans sym 105 ref eqMp eqMp eqMp nil 4413 remove 1079 ref cons nil cons cons 127 ref subst 4421 def deductAntisym eqMp eqMp eqMp proveHyp proveHyp 4422 def proveHyp proveHyp proveHyp eqMp nil 112 ref 4316 remove cons 114 ref 4317 remove cons nil cons 4423 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 4298 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 69 ref 4289 remove 4310 ref appTerm appTerm 4424 def 4292 ref appTerm 4425 def absTerm 4426 def appTerm 4427 def absTerm 4428 def appTerm 4429 def absTerm 4430 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4429 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4428 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4427 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4426 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 4425 remove nil cons cons nil cons nil cons cons 106 ref subst 4424 remove refl 4300 ref appThm sym 329 ref 4301 remove 4310 ref refl 4431 def appThm appThm 4308 ref appThm sym nil 67 ref 4309 remove 4310 ref appTerm nil cons 4432 def cons 4318 ref cons nil cons cons 4433 def 86 ref subst 4433 remove 151 ref subst nil 1097 remove 114 ref 4322 ref cons nil cons 4434 def cons nil cons cons 4435 def 127 ref subst 4435 remove 347 ref subst 1082 remove 1083 remove 4411 remove 4414 remove 4416 remove 4417 remove nil 1084 remove 1072 ref cons nil cons cons 136 ref subst 1062 remove 1077 ref subst 1060 remove 210 ref subst trans 1039 remove 4418 remove appThm 4329 remove trans trans sym 105 ref eqMp eqMp eqMp 4421 remove deductAntisym eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 4432 remove cons 4423 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 4430 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 69 ref 957 ref 4290 remove appTerm appTerm 4436 def 4292 remove appTerm 4437 def absTerm 4438 def appTerm 4439 def absTerm 4440 def appTerm 4441 def absTerm 4442 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4441 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4440 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4439 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4438 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 4437 remove nil cons cons nil cons nil cons cons 106 ref subst 4436 remove refl 4300 remove appThm sym 329 ref 975 ref 4302 remove appThm appThm 4308 remove appThm sym nil 67 ref 957 ref 4315 remove appTerm nil cons 4443 def cons 4318 remove cons nil cons cons 4444 def 86 ref subst 4444 remove 151 ref subst nil 1051 ref 4320 remove cons nil cons cons 4445 def 127 ref subst 4445 remove 347 ref subst 4422 remove proveHyp proveHyp eqMp nil 112 ref 4443 remove cons 4423 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 4442 remove appTerm thm 4380 remove nil 4386 remove thm 380 remove nil 288 ref 321 remove appTerm thm 1429 ref 1403 ref 292 ref 4 ref 292 ref 11 ref 3356 remove nil 783 ref 1407 ref 30 ref appTerm 4446 def nil cons 4447 def cons 4448 def 2406 ref cons nil cons cons 4449 def 3059 ref subst 758 ref 872 ref 329 ref 2409 ref appThm nil 637 ref 2408 ref cons nil cons cons 1469 ref subst 4450 def appThm absThm appThm trans appThm absThm appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 288 ref 4 ref 288 ref 11 ref 2295 remove 757 ref 872 ref 69 ref 2416 ref appTerm 4451 def 39 ref 41 ref 2413 ref 47 ref appTerm 4452 def absTerm 4453 def appTerm 4454 def appTerm 4455 def absTerm 4456 def appTerm 4457 def appTerm 4458 def absTerm 4459 def appTerm 4460 def absTerm 4461 def appTerm 4462 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 4462 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4461 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4460 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4459 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4458 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1020 ref 68 ref 4457 remove nil cons 4463 def cons nil cons cons nil cons cons 4464 def 86 ref subst 4464 remove 151 ref subst nil 871 ref 4456 remove nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 4455 remove nil cons 4465 def cons nil cons nil cons cons 106 ref subst nil 144 ref 1134 ref 69 ref 2415 remove 1137 ref appTerm 4466 def appTerm 4467 def 4454 ref appTerm 4468 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 4468 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4466 ref nil cons 4469 def cons 4470 def 68 ref 4454 ref nil cons 4471 def cons nil cons 4472 def cons nil cons cons 4473 def 86 ref subst 4473 remove 151 ref subst 4466 ref betaConv 4474 def 4466 remove assume eqMp 4475 def nil 2465 ref 4472 ref cons nil cons cons 4476 def 136 ref subst proveHyp 4476 ref 86 ref subst 4476 remove 151 ref subst 2468 remove 127 ref subst 4477 def 2469 ref 4453 ref 1137 ref appTerm 4478 def betaConv 4479 def sym 4480 def 544 ref 3003 remove 2881 ref appThm 3007 remove trans appThm 4481 def 1262 ref appThm 3008 ref 562 ref subst 4482 def trans sym 4483 def 3378 remove eqMp eqMp 309 ref 144 ref 4453 ref nil cons 4484 def cons 4485 def 1139 ref cons nil cons cons 594 ref subst 4486 def proveHyp proveHyp proveHyp eqMp nil 2464 ref 114 ref 4471 ref cons nil cons 4487 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4469 remove cons 4488 def 4487 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 2418 remove appTerm 4489 def 4454 ref appTerm absTerm appTerm nil cons cons 68 ref 4465 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 2421 remove cons 4490 def 4487 ref cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp eqMp nil 1008 ref 114 ref 4463 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 4491 def nil 1422 ref 1403 ref 288 ref 4 ref 288 ref 11 ref 3381 ref 3050 ref 1408 ref appTerm 4492 def 4446 ref appTerm appTerm absTerm 4493 def appTerm 4494 def absTerm 4495 def appTerm 4496 def absTerm 4497 def appTerm 4498 def thm 53 ref 18 ref 18 ref 18 ref 721 ref "C" varType 4499 def nil cons 4500 def cons opType 4501 def 20 ref cons opType 4502 def 20 ref cons opType constTerm 4503 def refl "f" 4501 ref var 4504 def 1429 ref "g" 1402 ref var 4505 def 292 ref 4 ref nil "t" 0 ref 4500 ref opType 4506 def var 4507 def 1389 ref 18 ref 4501 ref 18 ref 731 ref 4506 ref nil cons 4508 def cons opType nil cons cons opType constTerm 4504 ref varTerm 4509 def appTerm 1405 remove 4505 ref varTerm 4510 def appTerm 28 ref appTerm 4511 def appTerm 4512 def nil cons cons "s" 4506 ref var 4513 def 1389 ref 18 ref 18 ref 1 ref 4500 ref cons 4514 def opType 4515 def 18 ref 3 ref 4508 ref cons opType nil cons cons opType constTerm "Function.o" const 18 ref 4501 ref 18 ref 1402 ref 4515 ref nil cons cons opType nil cons cons opType constTerm 4509 ref appTerm 4510 ref appTerm 4516 def appTerm 28 ref appTerm 4517 def nil cons cons nil cons cons nil cons cons "A" 4500 ref cons 4518 def nil cons 4519 def 218 ref cons 4520 def 381 ref subst 4521 def subst 53 ref 18 ref 18 ref 4499 ref 20 ref cons opType 4522 def 20 ref cons opType 4523 def constTerm 4524 def refl 4525 def "x" 4499 ref var 4526 def 33 ref nil "f" 4515 remove var 4516 ref nil cons cons "y" 4499 ref var 4527 def 4526 ref varTerm 4528 def nil cons 4529 def cons nil cons 4530 def cons nil cons cons 308 ref "B" 4500 ref cons nil cons 4531 def cons 218 ref cons 4532 def 1469 ref subst subst 40 ref 41 ref 544 ref 17 ref 18 ref 4499 ref 4522 ref nil cons 4533 def cons opType constTerm 4534 def 4528 ref appTerm 4535 def refl 41 ref 4534 ref 4516 remove 45 ref appTerm appTerm 4509 ref 4510 ref 45 ref appTerm 4536 def appTerm 4537 def appTerm absTerm 4538 def 45 ref appTerm 4539 def betaConv 4505 ref 54 ref 4538 ref appTerm 4540 def absTerm 4541 def 4510 ref appTerm 4542 def betaConv 4504 ref 1422 ref 4541 ref appTerm 4543 def absTerm 4544 def 4509 ref appTerm 4545 def betaConv nil 4503 ref 4544 ref appTerm 4546 def axiom nil 67 ref 4546 remove nil cons cons 68 ref 4545 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 4501 ref nil cons 4547 def cons nil cons 4548 def "P" 4502 remove var 4549 def 4544 remove nil cons cons "x" 4501 remove var 4509 ref nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4543 remove nil cons cons 68 ref 4542 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 4541 remove nil cons cons 1454 ref 4510 ref nil cons 4550 def cons nil cons 4551 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4540 remove nil cons cons 68 ref 4539 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 4538 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp appThm appThm 634 ref appThm absThm appThm trans appThm nil 1548 ref 4511 remove nil cons cons 4530 remove cons nil cons cons 869 ref 4531 remove cons 218 ref cons 1469 ref subst subst 826 ref 872 ref 75 ref 4535 ref 4509 ref 910 ref appTerm appTerm appTerm 4552 def refl nil 1403 ref 4550 ref cons 4553 def 2408 ref cons nil cons cons 1469 ref subst appThm absThm appThm trans appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 4549 remove 4504 ref 1422 ref 4505 ref 288 ref 4 ref 4524 ref 4526 ref 23 ref 39 ref 41 ref 75 ref 4535 ref 4537 remove appTerm appTerm 49 ref appTerm absTerm 4554 def appTerm 4555 def appTerm 794 ref 872 ref 4552 remove 39 ref 41 ref 75 ref 2411 ref 4536 ref appTerm appTerm 49 ref appTerm absTerm appTerm appTerm absTerm 4556 def appTerm 4557 def appTerm 4558 def absTerm 4559 def appTerm 4560 def absTerm 4561 def appTerm 4562 def absTerm 4563 def appTerm 4564 def absTerm nil cons cons nil cons nil cons cons 4548 remove 218 ref cons 326 ref subst subst 4504 ref nil 99 ref 4564 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 4563 remove nil cons cons nil cons nil cons cons 2429 ref subst 4505 ref nil 99 ref 4562 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4561 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4560 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 4522 ref var 4565 def 4559 remove nil cons cons nil cons nil cons cons 4520 ref 326 ref subst 4566 def subst 4526 ref nil 99 ref 4558 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4555 ref nil cons 4567 def cons 68 ref 4557 ref nil cons 4568 def cons nil cons 4569 def cons nil cons cons 348 ref subst nil 144 ref 1134 ref 69 ref 4554 ref 1137 ref appTerm 4570 def appTerm 4557 ref appTerm 4571 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 4571 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4570 ref nil cons 4572 def cons 4569 ref cons nil cons cons 4573 def 86 ref subst 4573 remove 151 ref subst 4570 ref betaConv 4570 remove assume eqMp nil 67 ref 75 ref 4535 ref 4509 ref 4510 ref 1137 ref appTerm 4574 def appTerm 4575 def appTerm 4576 def appTerm 1154 ref appTerm nil cons 4577 def cons 4569 remove cons nil cons cons 4578 def 136 ref subst proveHyp 4578 ref 86 ref subst 4578 remove 151 ref subst nil 112 ref 4576 ref nil cons cons 2225 ref cons nil cons cons 4579 def 127 ref subst 4579 remove 347 ref subst 4556 ref 4574 ref appTerm betaConv sym 544 ref 4534 ref refl 4580 def 4576 remove assume appThm 4575 ref refl appThm nil 4526 ref 4575 remove nil cons cons nil cons nil cons cons 4520 ref 224 ref subst 4581 def subst trans appThm 39 ref 41 ref 75 ref 853 ref 4574 ref appTerm 4536 ref appTerm appTerm 49 ref appTerm absTerm 4582 def appTerm 4583 def refl appThm nil 99 ref 4583 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym 4582 ref 1137 ref appTerm betaConv sym 544 ref nil 872 ref 4574 remove nil cons cons nil cons 4584 def nil cons cons 940 ref subst appThm 2239 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 4582 remove nil cons cons 1139 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 870 ref 871 ref 4556 ref nil cons cons 4585 def 4584 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 4577 remove cons 114 ref 4568 remove cons nil cons 4586 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4572 remove cons 4586 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 4554 ref 45 ref appTerm appTerm 4557 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 4555 ref appTerm 4557 ref appTerm nil cons 4587 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 4554 ref nil cons cons 4588 def 4586 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 4587 remove cons 68 ref 69 ref 4557 remove appTerm 4555 ref appTerm nil cons cons nil cons 4589 def cons nil cons cons 151 ref subst proveHyp nil 871 ref 2785 ref 69 ref 4556 ref 2786 ref appTerm 4590 def appTerm 4555 ref appTerm 4591 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 2785 ref nil 99 ref 4591 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4590 ref nil cons 4592 def cons 68 ref 4567 ref cons nil cons 4593 def cons nil cons cons 4594 def 86 ref subst 4594 remove 151 ref subst 4590 ref betaConv 4590 remove assume eqMp nil 67 ref 75 ref 4535 ref 4509 ref 2786 ref appTerm appTerm 4595 def appTerm 39 ref 41 ref 75 ref 2787 ref 4536 ref appTerm appTerm 49 ref appTerm absTerm 4596 def appTerm 4597 def appTerm nil cons 4598 def cons 4593 ref cons nil cons cons 4599 def 136 ref subst proveHyp 4599 ref 86 ref subst 4599 remove 151 ref subst nil 112 ref 4595 ref nil cons cons 114 ref 4597 ref nil cons 4600 def cons nil cons cons nil cons cons 4601 def 127 ref subst 4601 remove 347 ref subst nil 67 ref 4600 remove cons 4593 ref cons nil cons cons 136 ref subst nil 144 ref 2812 ref 69 ref 4596 ref 2813 ref appTerm 4602 def appTerm 4555 ref appTerm 4603 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 2812 ref nil 99 ref 4603 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4602 ref nil cons 4604 def cons 4593 ref cons nil cons cons 4605 def 86 ref subst 4605 remove 151 ref subst 4602 ref betaConv 4602 remove assume eqMp nil 67 ref 75 ref 2787 ref 4510 ref 2813 ref appTerm 4606 def appTerm 4607 def appTerm 2821 ref appTerm nil cons 4608 def cons 4593 remove cons nil cons cons 4609 def 136 ref subst proveHyp 4609 ref 86 ref subst 4609 remove 151 ref subst nil 112 ref 4607 ref nil cons cons 4179 ref cons nil cons cons 4610 def 127 ref subst 4610 remove 347 ref subst 4554 remove 2813 ref appTerm betaConv sym 544 ref 4580 remove 4595 remove assume 4509 ref refl 4607 remove assume appThm trans appThm 4509 remove 4606 remove appTerm 4611 def refl appThm nil 4526 ref 4611 remove nil cons cons nil cons nil cons cons 4581 ref subst trans appThm 2844 remove appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 4588 remove 2846 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 4608 remove cons 114 ref 4567 remove cons nil cons 4612 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4604 remove cons 4612 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 4596 ref 45 ref appTerm appTerm 4555 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 4597 remove appTerm 4555 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 4596 remove nil cons cons 4612 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 4598 remove cons 4612 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4592 remove cons 4612 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 4556 remove 910 ref appTerm appTerm 4555 remove appTerm absTerm appTerm nil cons cons 4589 remove cons nil cons cons 136 ref subst proveHyp 870 ref 4585 remove 4612 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 4503 remove 4504 remove 1422 ref 4505 ref 288 ref 4 ref 17 ref 18 ref 4506 ref 18 ref 4506 ref 20 ref cons opType 4613 def nil cons 4614 def cons opType constTerm 4615 def 4517 remove appTerm 4512 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 55 ref 41 ref 758 ref 795 ref nil 727 ref 1120 ref 18 ref 724 ref 18 ref 726 ref 732 ref cons opType nil cons 4616 def cons opType constTerm 800 ref appTerm 1512 ref appTerm 4617 def nil cons cons 729 ref 736 ref 1123 ref appTerm 2758 remove 799 ref appTerm 1509 ref appTerm 4618 def appTerm 4619 def nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 4619 ref appTerm appTerm 753 ref 4617 ref appTerm appTerm absTerm 4620 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 4620 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 4620 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 783 ref 4618 ref nil cons 4621 def cons 1206 remove 1529 ref cons cons nil cons cons 1537 ref subst 544 ref nil 1157 ref 868 ref cons nil cons cons 1187 ref subst 4622 def appThm 939 remove 4163 ref subst appThm trans appThm nil "y" 724 ref var 4623 def 800 ref nil cons 4624 def cons 842 ref cons nil cons cons 742 ref 1187 ref subst subst 877 remove trans appThm nil 166 ref 903 remove cons nil cons nil cons cons 225 ref subst trans absThm appThm 947 ref trans absThm appThm 377 ref trans trans absThm appThm 947 ref trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 41 ref 757 ref 795 ref 787 ref 4619 remove appTerm 4617 remove appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref 292 ref 11 ref 33 ref nil 15 ref 1327 ref cons nil cons cons 381 ref subst 55 ref 41 ref 1328 ref 466 ref appThm nil 99 ref 1989 ref cons nil cons nil cons cons 217 ref subst 664 remove 4024 ref subst trans trans absThm appThm 33 ref 55 ref 41 ref 544 ref 1586 remove appThm 3974 ref appThm absThm appThm appThm 544 ref 1587 remove appThm 55 ref 41 ref 3974 remove absThm appThm appThm appThm nil 56 ref 2433 remove cons 1568 ref 3927 remove cons nil cons cons nil cons cons 3219 ref 1570 ref appTerm 4625 def betaConv 3221 ref 57 ref appTerm 4626 def betaConv 3223 remove nil 67 ref 3222 remove nil cons cons 68 ref 4626 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 3221 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3220 remove nil cons cons 68 ref 4625 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 3219 remove nil cons cons 1581 ref cons nil cons cons 161 ref subst eqMp eqMp 4627 def subst eqMp trans trans appThm 544 ref 1547 remove appThm 3907 remove appThm appThm nil 166 ref 75 ref 1597 remove appTerm 3917 remove appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp 4628 def nil 288 ref 4 ref 288 ref 11 ref 23 ref 1247 remove 13 ref appTerm appTerm 75 ref 1513 ref appTerm 2064 remove appTerm appTerm absTerm 4629 def appTerm 4630 def absTerm 4631 def appTerm 4632 def thm 1601 remove nil 1602 remove thm 292 ref 4 ref 292 ref 11 ref 33 ref 1897 remove appThm 33 ref 35 ref 40 ref 41 ref 630 ref absThm appThm appThm appThm 55 ref 41 ref 35 ref 630 remove appThm absThm appThm appThm 631 remove 162 ref subst eqMp appThm nil 166 ref 1909 remove cons nil cons nil cons cons 225 ref subst trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 288 ref 11 ref 603 remove 34 ref 39 ref 629 remove appTerm appTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref 1663 ref 2472 ref 33 ref nil 3277 remove nil cons nil cons cons 4633 def 619 ref subst nil 15 ref 4 ref 609 ref 3274 ref appTerm nil cons cons nil cons cons nil cons cons 381 ref subst trans 55 ref 41 ref 33 ref 4633 remove 632 ref subst 1357 ref 3280 ref appThm trans appThm 466 ref appThm nil 99 ref 621 ref 3285 ref appTerm 4634 def nil cons 4635 def cons nil cons nil cons cons 217 ref subst trans absThm appThm trans appThm 292 ref 356 ref 69 ref 2500 ref appTerm 4636 def refl nil 11 ref 2502 remove cons 4637 def nil cons nil cons cons 4638 def 619 ref subst nil 15 ref 4 ref 609 ref 1822 ref appTerm nil cons cons nil cons cons nil cons cons 381 ref subst trans 55 ref 41 ref 33 ref 4638 remove 632 ref subst appThm 466 ref appThm nil 99 ref 621 ref 2535 ref appTerm 4639 def nil cons cons nil cons nil cons cons 217 ref subst trans absThm appThm trans appThm absThm appThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 506 ref 2472 ref 23 ref 54 ref 41 ref 34 ref 4634 remove appTerm 4640 def absTerm 4641 def appTerm 4642 def appTerm 288 ref 356 ref 4636 ref 54 ref 41 ref 34 ref 4639 remove appTerm absTerm appTerm 4643 def appTerm 4644 def absTerm 4645 def appTerm 4646 def appTerm 4647 def absTerm 4648 def appTerm 4649 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4649 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 4648 remove nil cons cons nil cons nil cons cons 1695 ref subst 2472 ref nil 99 ref 4647 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4642 ref nil cons 4650 def cons 4651 def 68 ref 4646 ref nil cons 4652 def cons nil cons cons nil cons cons 4653 def 348 ref subst 4653 ref 86 ref subst 4653 remove 151 ref subst nil 317 ref 4645 ref nil cons cons 4654 def nil cons nil cons cons 327 ref subst 356 ref nil 99 ref 4644 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2506 ref cons 68 ref 4643 remove nil cons 4655 def cons nil cons cons nil cons cons 4656 def 86 ref subst 4656 remove 151 ref subst nil 144 ref 1134 ref 34 ref 1155 ref 3184 ref appTerm 4657 def appTerm 4658 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 4658 remove nil cons cons nil cons nil cons cons 106 ref subst nil 112 ref 4657 remove nil cons 4659 def cons 4660 def nil cons nil cons cons 1070 ref subst nil 67 ref 4659 remove cons 1072 ref cons nil cons cons 4661 def 86 ref subst 4661 remove 151 ref subst nil 2223 ref 114 ref 3184 ref nil cons 4662 def cons nil cons cons nil cons cons 4663 def 127 ref subst 4663 remove 347 ref subst 4641 ref 1137 ref appTerm 4664 def betaConv nil 4651 remove 68 ref 4664 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 4641 remove nil cons cons 4665 def 1139 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 34 ref 1155 ref 534 ref 11 ref 3283 remove 1261 ref appTerm absTerm 4666 def appTerm 4667 def appTerm 4668 def appTerm nil cons 4669 def cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 99 ref 4669 remove cons nil cons nil cons cons 1077 ref subst nil 99 ref 4668 remove nil cons cons nil cons nil cons cons 210 ref subst trans 4223 ref 4667 ref refl appThm nil 99 ref 4667 remove nil cons cons nil cons nil cons cons 562 ref subst trans trans sym 4666 ref 1822 ref appTerm betaConv sym 544 ref 2507 remove 106 ref subst 2500 remove assume eqMp appThm nil 99 ref 4662 remove cons nil cons nil cons cons 106 ref subst 3184 remove assume eqMp appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 4666 remove nil cons cons 2511 remove cons nil cons cons 594 ref subst proveHyp eqMp eqMp proveHyp proveHyp eqMp nil 4660 remove 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp nil 112 ref 2506 remove cons 114 ref 4655 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 4650 ref cons 114 ref 4652 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 4642 ref appTerm 4646 ref appTerm nil cons cons 68 ref 69 ref 4646 remove appTerm 4642 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 4652 ref cons 4670 def 68 ref 4650 ref cons nil cons cons nil cons cons 4671 def 86 ref subst 4671 remove 151 ref subst nil 4665 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4640 remove nil cons cons nil cons nil cons cons 106 ref subst nil 112 ref 4635 ref cons 4672 def nil cons nil cons cons 1070 ref subst nil 67 ref 4635 remove cons 1072 ref cons nil cons cons 4673 def 86 ref subst 4673 remove 151 ref subst nil 1731 ref 3315 ref cons nil cons cons 4674 def 127 ref subst 4674 remove 347 ref subst nil 67 ref 3313 ref cons 1072 ref cons nil cons cons 136 ref subst nil 317 ref 3230 ref 3327 remove 171 ref appTerm 4675 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 3230 ref nil 99 ref 4675 remove nil cons cons nil cons nil cons cons 106 ref subst nil 3330 remove 1072 ref cons nil cons cons 4676 def 86 ref subst 4676 remove 151 ref subst 3332 remove nil 3334 remove 1072 ref cons nil cons cons 4677 def 136 ref subst proveHyp 4677 ref 86 ref subst 4677 remove 151 ref subst 3269 remove 3336 remove 4645 remove 3231 ref appTerm 4678 def betaConv nil 4670 remove 68 ref 4678 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 4654 remove 3312 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3241 remove 54 ref 41 ref 34 ref 621 ref 3237 ref appTerm 4679 def appTerm absTerm 4680 def appTerm 4681 def appTerm nil cons 4682 def cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 99 ref 4682 remove cons nil cons nil cons cons 1077 ref subst 35 ref 329 ref 3306 remove appThm 4681 ref refl appThm nil 99 ref 4681 remove nil cons cons nil cons nil cons cons 2033 ref subst trans appThm 33 ref 35 ref 55 ref 41 ref 4680 ref 45 ref appTerm betaConv 4683 def absThm appThm appThm appThm 40 ref 41 ref 35 ref 4683 remove appThm absThm appThm appThm nil 56 ref 4680 remove nil cons cons nil cons nil cons cons 2172 ref subst eqMp 40 ref "_10464" 1 ref var 4684 def nil 99 ref 75 ref 44 ref 4684 remove varTerm appTerm 4685 def 28 ref appTerm appTerm 4685 remove 3231 ref appTerm appTerm nil cons cons nil cons nil cons cons 210 ref subst absThm appThm trans trans trans sym 41 ref 4679 remove absTerm 4686 def 45 ref appTerm betaConv sym 1923 ref 3309 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 4686 remove nil cons cons 311 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp proveHyp proveHyp eqMp nil 3339 remove 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 3341 remove 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 3342 remove 171 ref appTerm absTerm appTerm nil cons cons 68 ref 3343 remove 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 3310 ref 1079 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 4672 remove 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp nil 112 ref 4652 remove cons 114 ref 4650 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 288 ref 4 ref 506 ref 2472 ref 23 ref 601 ref 3274 ref appTerm appTerm 288 ref 356 ref 4636 remove 601 ref 1822 ref appTerm appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm thm nil 317 ref 11 ref 506 ref 1647 ref 23 ref 958 ref 1656 ref appTerm appTerm 288 ref 4 ref 69 ref 1702 remove appTerm 4687 def 959 ref appTerm absTerm appTerm appTerm 4688 def absTerm 4689 def appTerm 4690 def absTerm 4691 def nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4690 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 4689 remove nil cons cons nil cons nil cons cons 1695 ref subst 1647 ref nil 99 ref 4688 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 1673 remove 638 ref cons nil cons cons 700 ref subst 55 ref 41 ref 997 ref refl 4692 def 1675 ref appThm absThm appThm trans appThm 292 ref 4 ref 4687 ref refl 995 ref appThm absThm appThm appThm sym nil 67 ref 54 ref 41 ref 997 ref 1687 ref appTerm 4693 def absTerm 4694 def appTerm 4695 def nil cons 4696 def cons 4697 def 68 ref 288 ref 4 ref 4687 remove 1000 ref appTerm 4698 def absTerm 4699 def appTerm 4700 def nil cons 4701 def cons nil cons cons nil cons cons 4702 def 348 ref subst 4702 ref 86 ref subst 4702 remove 151 ref subst nil 317 ref 4699 ref nil cons cons 4703 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4698 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 1703 ref cons 4704 def 68 ref 1009 ref cons nil cons 4705 def cons nil cons cons 4706 def 86 ref subst 4706 remove 151 ref subst nil 1029 remove nil cons nil cons cons 326 ref subst 4707 def 41 ref nil 99 ref 1024 remove cons nil cons nil cons cons 106 ref subst 4708 def 1820 ref 86 ref subst 4709 def 1820 remove 151 ref subst 4710 def 4694 ref 45 ref appTerm 4711 def betaConv nil 4697 remove 68 ref 4711 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 4694 remove nil cons cons 4712 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4693 remove nil cons 4713 def cons 1706 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 1793 ref appThm 292 ref 1686 remove refl appThm appThm nil 99 ref 1710 ref cons nil cons nil cons cons 2033 ref subst trans appThm 634 ref appThm sym nil 1735 remove 1706 ref cons nil cons cons 4714 def 86 ref subst 4715 def 4714 remove 151 ref subst 4716 def nil 4704 remove 1706 ref cons nil cons cons 136 ref subst 714 ref 1736 ref subst eqMp eqMp nil 112 ref 1710 remove cons 1878 ref cons nil cons cons 127 ref subst 4717 def deductAntisym eqMp eqMp eqMp eqMp nil 1935 ref 1878 ref cons nil cons cons 127 ref subst 4718 def deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 1703 remove cons 1010 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 4696 ref cons 114 ref 4701 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 4695 ref appTerm 4700 ref appTerm nil cons cons 68 ref 69 ref 4700 remove appTerm 4695 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 4701 ref cons 4719 def 68 ref 4696 ref cons nil cons cons nil cons cons 4720 def 86 ref subst 4720 remove 151 ref subst nil 4712 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4713 remove cons nil cons nil cons cons 106 ref subst nil 1819 ref 1711 remove cons nil cons cons 4721 def 86 ref subst 4721 remove 151 ref subst 1713 remove 3230 ref nil 99 ref 69 ref 3232 ref 1653 remove appTerm 4722 def appTerm 4723 def 3237 ref appTerm nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4722 ref nil cons 4724 def cons 3249 ref cons nil cons cons 4725 def 86 ref subst 4725 remove 151 ref subst 4699 remove 3231 ref appTerm 4726 def betaConv nil 4719 remove 68 ref 4726 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 4703 remove 3312 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4723 remove 54 ref 41 ref 997 ref 3237 ref appTerm absTerm 4727 def appTerm 4728 def appTerm nil cons cons 3249 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 4724 ref cons nil cons nil cons cons 106 ref subst 4722 remove assume eqMp appThm 4728 ref refl appThm nil 99 ref 4728 remove nil cons 4729 def cons nil cons nil cons cons 2033 ref subst trans appThm 3237 ref refl 4730 def appThm sym nil 67 ref 4729 ref cons 4731 def 3249 ref cons nil cons cons 4732 def 86 ref subst 4732 remove 151 ref subst nil 1819 ref 3249 ref cons nil cons cons 136 ref subst 4727 ref 45 ref appTerm 4733 def betaConv nil 4731 remove 68 ref 4733 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 4727 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 112 ref 4729 remove cons 3260 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 4724 remove cons 3260 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 1935 ref 1732 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 4701 remove cons 114 ref 4696 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 4734 def eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 4691 remove appTerm thm 292 ref 4 ref 640 ref 640 ref 530 ref refl 4735 def 3509 ref 3502 ref 40 ref 41 ref 75 ref 3504 ref 1123 ref appTerm 4736 def appTerm 4737 def refl 1478 ref appThm absThm appThm absThm appThm appThm appThm 3384 remove appThm 2190 remove 56 ref 27 ref 530 ref 3501 ref 3502 ref 39 ref 41 ref 4737 ref 58 ref appTerm absTerm appTerm absTerm appTerm appTerm 4738 def appTerm 425 ref 426 ref 39 ref 41 ref 428 ref 58 ref appTerm absTerm appTerm absTerm appTerm 4739 def appTerm absTerm 4740 def 57 ref appTerm 4741 def betaConv 442 ref 56 ref nil 11 ref 4739 ref nil cons 4742 def cons 4 ref 4738 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 366 ref 640 ref 4735 ref 3509 ref 3502 ref 40 ref 41 ref 544 ref 3504 ref refl 4743 def 41 ref 1123 ref absTerm 4744 def 45 ref appTerm betaConv 4745 def appThm appThm 451 ref appThm absThm appThm absThm appThm appThm appThm 429 ref 426 ref 40 ref 452 ref 75 ref 427 remove 453 ref appTerm appTerm 4746 def refl 4747 def 40 ref 41 ref 2932 ref refl 4748 def 834 ref refl 4749 def 4745 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil "f" 1112 remove var 4744 remove nil cons cons nil cons nil cons cons 1401 remove nil 783 ref 1435 ref 1436 ref 794 ref "a" 721 ref var 4750 def 75 ref 1438 ref 4750 ref varTerm 4751 def appTerm appTerm 4752 def 39 ref 41 ref 2932 ref 805 ref 4751 ref appTerm 4753 def 3065 ref appTerm 4754 def appTerm absTerm 4755 def appTerm 4756 def appTerm absTerm appTerm absTerm 4757 def appTerm 4758 def nil cons cons 1548 ref 2899 ref 423 ref 18 ref 803 ref 2900 ref cons opType constTerm 4759 def "v" 731 ref var 4760 def 39 ref 41 ref 75 ref 1433 ref 4760 ref varTerm 4761 def appTerm 4762 def 3065 ref appTerm appTerm 58 ref appTerm absTerm appTerm absTerm 4763 def appTerm 4764 def appTerm 4765 def nil cons cons nil cons cons nil cons cons 1551 ref subst sym 758 ref 872 ref 33 ref nil 2907 ref 4764 ref nil cons cons nil cons nil cons cons 4766 def 2908 ref subst 2910 ref 783 ref 544 ref nil 2962 ref 4763 ref nil cons cons 823 ref cons nil cons cons 1599 ref 449 ref subst subst 4763 remove 789 ref appTerm betaConv trans 4767 def appThm 2919 ref appThm absThm appThm trans appThm nil 1461 ref 4757 ref nil cons cons nil cons nil cons cons 1631 ref subst 4757 remove 910 ref appTerm betaConv trans appThm absThm appThm sym nil 871 ref 872 ref 23 ref 2909 ref 783 ref 75 ref 39 ref 41 ref 3078 remove 58 ref appTerm absTerm 4768 def appTerm 4769 def appTerm 1553 ref appTerm 4770 def absTerm 4771 def appTerm 4772 def appTerm 794 ref 4750 ref 75 ref 2411 ref 4751 ref appTerm 4773 def appTerm 4774 def 4756 ref appTerm 4775 def absTerm 4776 def appTerm 4777 def appTerm 4778 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 4778 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4772 ref nil cons 4779 def cons 68 ref 4777 ref nil cons 4780 def cons nil cons 4781 def cons nil cons cons 348 ref subst nil 820 ref 783 ref 69 ref 4771 ref 789 ref appTerm 4782 def appTerm 4777 ref appTerm 4783 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 4783 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4782 ref nil cons 4784 def cons 4781 ref cons nil cons cons 4785 def 86 ref subst 4785 remove 151 ref subst 4782 ref betaConv 4782 remove assume eqMp nil 67 ref 4770 remove nil cons 4786 def cons 4781 ref cons nil cons cons 4787 def 136 ref subst proveHyp 4787 ref 86 ref subst 4787 remove 151 ref subst nil 112 ref 4769 ref nil cons 4788 def cons 3154 ref cons nil cons cons 4789 def 127 ref subst 4789 remove 347 ref subst nil 67 ref 4788 remove cons 4781 ref cons nil cons cons 136 ref subst nil 144 ref 1134 ref 69 ref 4768 ref 1137 ref appTerm 4790 def appTerm 4791 def 4777 ref appTerm 4792 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 4792 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4790 ref nil cons 4793 def cons 4794 def 4781 ref cons nil cons cons 4795 def 86 ref subst 4795 remove 151 ref subst 4790 ref betaConv 4790 remove assume eqMp 4796 def nil 67 ref 3138 remove 57 ref 1137 ref appTerm 4797 def appTerm nil cons 4798 def cons 4799 def 4781 remove cons nil cons cons 4800 def 136 ref subst proveHyp 4800 ref 86 ref subst 4800 remove 151 ref subst nil 3142 remove 114 ref 4797 ref nil cons 4801 def cons nil cons 4802 def cons nil cons cons 4803 def 127 ref subst 4804 def 4803 remove 347 ref subst 4805 def 4776 ref 910 ref appTerm betaConv sym 3093 ref 39 ref 41 ref 2932 ref 3094 ref appTerm absTerm 4806 def appTerm 4807 def refl appThm nil 99 ref 4807 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym 4806 ref 1137 ref appTerm betaConv sym 544 ref nil 99 ref 4801 ref cons nil cons nil cons cons 106 ref subst 4797 ref assume eqMp 4808 def appThm 1627 ref 3149 ref sym appThm 1556 remove 106 ref subst 1553 ref assume eqMp 4809 def trans 4810 def appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 4806 remove nil cons cons 1139 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 870 ref 871 ref 4776 ref nil cons cons 4811 def 3115 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 4798 remove cons 4812 def 114 ref 4780 remove cons nil cons 4813 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4793 remove cons 4814 def 4813 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 4768 ref 45 ref appTerm appTerm 4815 def 4777 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 4769 remove appTerm 4816 def 4777 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 4768 remove nil cons cons 4817 def 4813 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 4786 remove cons 4813 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4784 remove cons 4813 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 812 ref 821 ref 69 ref 4771 ref 821 ref varTerm 4818 def appTerm appTerm 4777 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 4772 ref appTerm 4777 ref appTerm nil cons 4819 def cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 4771 ref nil cons cons 4820 def 4813 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 4819 remove cons 68 ref 69 ref 4777 remove appTerm 4772 ref appTerm nil cons cons nil cons 4821 def cons nil cons cons 151 ref subst proveHyp nil 871 ref 4750 ref 69 ref 4776 ref 4751 ref appTerm 4822 def appTerm 4772 ref appTerm 4823 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 4750 ref nil 99 ref 4823 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4822 ref nil cons 4824 def cons 68 ref 4779 ref cons nil cons 4825 def cons nil cons cons 4826 def 86 ref subst 4826 remove 151 ref subst 4822 ref betaConv 4822 remove assume eqMp nil 67 ref 4775 remove nil cons 4827 def cons 4825 ref cons nil cons cons 4828 def 136 ref subst proveHyp 4828 ref 86 ref subst 4828 remove 151 ref subst nil 112 ref 4773 ref nil cons cons 4829 def 114 ref 4756 ref nil cons 4830 def cons nil cons cons nil cons cons 4831 def 127 ref subst 4831 remove 347 ref subst nil 67 ref 4830 remove cons 4825 ref cons nil cons cons 136 ref subst nil 144 ref 1134 ref 69 ref 4755 ref 1137 ref appTerm 4832 def appTerm 4772 ref appTerm 4833 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 4833 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4832 ref nil cons 4834 def cons 4825 ref cons nil cons cons 4835 def 86 ref subst 4835 remove 151 ref subst 4832 ref betaConv 4832 remove assume eqMp nil 67 ref 75 ref 4797 ref appTerm 4753 ref 3096 ref appTerm 4836 def appTerm nil cons 4837 def cons 4825 remove cons nil cons cons 4838 def 136 ref subst proveHyp 4838 ref 86 ref subst 4838 remove 151 ref subst nil 112 ref 4801 ref cons 4839 def 114 ref 4836 ref nil cons 4840 def cons nil cons cons nil cons cons 4841 def 127 ref subst 4841 remove 347 ref subst 4771 remove 3096 ref appTerm betaConv sym 75 ref 39 ref 41 ref 3102 remove 58 ref appTerm absTerm 4842 def appTerm 4843 def appTerm refl 3146 ref 4773 remove assume appThm 4844 def 3096 ref refl 4845 def appThm nil 99 ref 4840 ref cons nil cons nil cons cons 106 ref subst 4836 remove assume eqMp trans appThm nil 99 ref 4843 remove nil cons 4846 def cons nil cons nil cons cons 1362 ref subst trans sym 4842 ref 1137 ref appTerm betaConv sym 3106 remove 4808 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 4842 remove nil cons cons 1139 ref cons nil cons cons 594 ref subst proveHyp 4847 def eqMp eqMp 819 ref 4820 remove 3105 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 4837 remove cons 114 ref 4779 remove cons nil cons 4848 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4834 remove cons 4848 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 4755 ref 45 ref appTerm appTerm 4772 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 4756 remove appTerm 4772 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 4755 remove nil cons cons 4848 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 4827 remove cons 4848 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4824 remove cons 4848 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 2785 ref 69 ref 4776 remove 2786 ref appTerm appTerm 4772 remove appTerm absTerm appTerm nil cons cons 4821 remove cons nil cons cons 136 ref subst proveHyp 870 ref 4811 remove 4848 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp 4849 def subst subst eqMp 429 ref 426 ref 40 ref 452 ref 4747 ref 40 ref 41 ref 4748 remove 4622 remove appThm absThm appThm appThm absThm appThm absThm appThm trans appThm 33 ref 366 ref 429 ref 426 ref 40 ref 452 ref 4747 ref 452 ref 39 ref 41 ref 2932 ref 455 remove appTerm absTerm appTerm absTerm 4850 def 453 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 4850 ref 45 ref appTerm betaConv appThm nil 56 ref 4850 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp trans appThm 465 ref appThm absThm appThm trans absThm appThm sym 442 ref 56 ref 55 ref 41 ref 33 ref 40 ref 1134 ref nil 659 ref 3771 ref cons 661 ref 4801 ref cons nil cons cons nil cons cons 678 ref subst absThm appThm appThm 451 ref appThm absThm appThm absThm appThm sym 462 remove eqMp eqMp 4851 def nil 67 ref 65 ref 4740 ref appTerm 4852 def nil cons cons 68 ref 4741 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 4740 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp 3386 ref 28 ref appTerm 4853 def betaConv 3385 remove nil 67 ref 3387 remove nil cons cons 68 ref 4853 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 3386 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp trans appThm 1394 ref appThm 1109 remove trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 27 ref 530 ref 3501 ref 3502 ref 39 ref 41 ref 4737 remove 49 ref appTerm absTerm appTerm absTerm appTerm appTerm appTerm 28 ref appTerm absTerm appTerm thm 2887 remove nil 2888 remove thm 1663 ref 488 ref 55 ref 41 ref 3878 ref 2543 ref refl 4854 def appThm nil 166 ref 503 remove nil cons cons nil cons nil cons cons 225 ref subst 4855 def trans absThm appThm 377 ref trans absThm appThm 3896 ref trans sym 105 ref eqMp nil 506 ref 488 ref 54 ref 41 ref 23 ref 3165 remove appTerm 4856 def 2543 ref appTerm absTerm appTerm absTerm appTerm thm 1663 ref 488 ref 55 ref 41 ref 3899 ref 2073 ref refl appThm nil 166 ref 536 remove nil cons cons nil cons nil cons cons 225 ref subst 4857 def trans absThm appThm 377 ref trans absThm appThm 3896 ref trans sym 105 ref eqMp nil 506 ref 488 ref 54 ref 41 ref 23 ref 2058 ref appTerm 4858 def 2073 ref appTerm absTerm appTerm absTerm appTerm thm nil 510 ref 2602 ref 288 ref 11 ref 23 ref 2656 remove 30 ref appTerm appTerm 288 ref 4 ref 69 ref 1701 ref 2606 ref appTerm 4859 def appTerm 4860 def 688 ref appTerm absTerm appTerm appTerm 4861 def absTerm 4862 def appTerm 4863 def absTerm 4864 def nil cons cons nil cons nil cons cons 1695 ref subst 2602 ref nil 99 ref 4863 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4862 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4861 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 2612 remove nil cons cons 700 ref subst 55 ref 41 ref 2614 remove 368 ref appThm 33 ref 329 ref 543 ref 11 ref 2646 remove absThm appThm appThm 368 ref appThm appThm 292 ref 3230 ref 329 ref 2624 remove 3231 ref appTerm betaConv 4865 def appThm 368 ref appThm absThm appThm appThm nil 2930 ref 2655 remove cons 1017 ref cons nil cons cons 325 ref 68 ref 23 ref 69 ref 60 ref appTerm 72 ref appTerm appTerm 571 remove appTerm absTerm 4866 def 72 ref appTerm 4867 def betaConv 56 ref 198 ref 4866 ref appTerm 4868 def absTerm 4869 def 57 ref appTerm 4870 def betaConv nil 65 ref 4869 ref appTerm 4871 def axiom nil 67 ref 4871 remove nil cons cons 68 ref 4870 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 4869 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4868 remove nil cons cons 68 ref 4867 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 4866 remove nil cons cons 1596 ref cons nil cons cons 161 ref subst eqMp eqMp subst 4872 def subst eqMp trans absThm appThm trans appThm 292 ref 4 ref 4860 ref refl 4873 def 700 ref appThm absThm appThm appThm sym nil 67 ref 54 ref 41 ref 288 ref 3230 ref 69 ref 75 ref 3232 ref 2606 ref appTerm 4874 def appTerm 3237 ref appTerm 4875 def appTerm 47 ref appTerm 4876 def absTerm 4877 def appTerm 4878 def absTerm 4879 def appTerm 4880 def nil cons 4881 def cons 4882 def 68 ref 288 ref 4 ref 4860 ref 693 ref appTerm 4883 def absTerm 4884 def appTerm 4885 def nil cons 4886 def cons nil cons cons nil cons cons 4887 def 348 ref subst 4887 ref 86 ref subst 4887 remove 151 ref subst nil 317 ref 4884 ref nil cons cons 4888 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4883 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4859 ref nil cons 4889 def cons 4890 def 2297 ref cons nil cons cons 4891 def 86 ref subst 4891 remove 151 ref subst 2299 ref 41 ref 2300 ref 2301 ref 2292 ref 3230 ref 4875 ref absTerm 4892 def 28 ref appTerm betaConv sym 544 ref nil 99 ref 4889 ref cons nil cons nil cons cons 4893 def 106 ref subst 4859 ref assume eqMp appThm 4894 def 1741 ref appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 4892 ref nil cons cons 4895 def 359 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 534 ref 4892 ref appTerm 4896 def nil cons 4897 def cons 4898 def 1017 ref cons nil cons cons 4899 def 136 ref subst proveHyp 4899 ref 86 ref subst 4899 remove 151 ref subst nil 4882 ref 1017 ref cons nil cons cons 4900 def 136 ref subst nil 4898 remove 68 ref 69 ref 4880 ref appTerm 4901 def 47 ref appTerm 4902 def nil cons 4903 def cons nil cons 4904 def cons nil cons cons 136 ref subst nil 317 ref 3230 ref 69 ref 4892 ref 3231 ref appTerm 4905 def appTerm 4902 ref appTerm 4906 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 3230 ref nil 99 ref 4906 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4905 ref nil cons 4907 def cons 4904 ref cons nil cons cons 4908 def 86 ref subst 4908 remove 151 ref subst 4865 remove 4905 remove assume eqMp nil 67 ref 4875 remove nil cons 4909 def cons 4910 def 4904 remove cons nil cons cons 4911 def 136 ref subst proveHyp 4911 ref 86 ref subst 4911 remove 151 ref subst 4900 ref 86 ref subst 4900 remove 151 ref subst nil 4910 remove 1017 ref cons nil cons cons 4912 def 136 ref subst 4877 ref 3231 ref appTerm 4913 def betaConv 4879 ref 45 ref appTerm 4914 def betaConv nil 4882 remove 68 ref 4914 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 4879 remove nil cons cons 4915 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4878 remove nil cons 4916 def cons 68 ref 4913 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4877 remove nil cons cons 4917 def 3312 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 112 ref 4881 ref cons 4918 def 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 4909 remove cons 4919 def 114 ref 4903 remove cons nil cons 4920 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4907 remove cons 4920 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 4892 remove 1822 ref appTerm appTerm 4902 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 4896 remove appTerm 4902 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 4895 remove 4920 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 112 ref 4897 remove cons 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp 1917 ref deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 4889 remove cons 4921 def 2303 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 4918 remove 114 ref 4886 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 4901 remove 4885 ref appTerm nil cons cons 68 ref 69 ref 4885 remove appTerm 4880 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 4886 ref cons 4922 def 68 ref 4881 ref cons nil cons cons nil cons cons 4923 def 86 ref subst 4923 remove 151 ref subst nil 4915 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4916 remove cons nil cons nil cons cons 106 ref subst nil 4917 remove nil cons nil cons cons 327 ref subst 3230 ref nil 99 ref 4876 remove nil cons cons nil cons nil cons cons 106 ref subst 4912 ref 86 ref subst 4912 remove 151 ref subst nil 112 ref 4874 ref nil cons 4924 def cons 3260 ref cons nil cons cons 4925 def 127 ref subst 4925 remove 347 ref subst 4884 remove 3231 ref appTerm 4926 def betaConv nil 4922 remove 68 ref 4926 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 4888 remove 3312 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 4874 ref appTerm 54 ref 41 ref 69 ref 3237 ref appTerm 47 ref appTerm absTerm 4927 def appTerm 4928 def appTerm nil cons cons 1017 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 4924 remove cons nil cons nil cons cons 106 ref subst 4874 remove assume eqMp appThm 4928 ref refl appThm nil 99 ref 4928 remove nil cons 4929 def cons nil cons nil cons cons 2033 ref subst trans appThm 368 ref appThm sym nil 67 ref 4929 ref cons 4930 def 1017 ref cons nil cons cons 4931 def 86 ref subst 4931 remove 151 ref subst nil 67 ref 3248 remove cons 1017 ref cons nil cons cons 136 ref subst 4927 ref 45 ref appTerm 4932 def betaConv nil 4930 remove 68 ref 4932 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 4927 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 112 ref 4929 remove cons 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 4919 remove 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 4886 remove cons 114 ref 4881 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 4864 remove appTerm thm nil 510 ref 1647 ref 288 ref 4 ref 69 ref 534 ref 11 ref 1769 ref 959 ref appTerm absTerm appTerm appTerm 686 ref 1656 remove appTerm 28 ref appTerm appTerm 4933 def absTerm 4934 def appTerm 4935 def absTerm 4936 def nil cons cons nil cons nil cons cons 1695 ref subst 1647 ref nil 99 ref 4935 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4934 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4933 remove nil cons cons nil cons nil cons cons 106 ref subst 329 ref 543 ref 11 ref 1769 ref refl 995 ref appThm absThm appThm appThm nil 596 ref 4 ref 1672 remove cons nil cons cons nil cons cons 700 ref subst 55 ref 41 ref 329 ref 1675 remove appThm 634 ref appThm absThm appThm trans appThm sym nil 317 ref 11 ref 69 ref 11 ref 1769 remove 1000 ref appTerm 4937 def absTerm 4938 def 30 ref appTerm 4939 def appTerm 54 ref 41 ref 69 ref 1687 remove appTerm 49 ref appTerm 4940 def absTerm 4941 def appTerm 4942 def appTerm 4943 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4943 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4939 ref nil cons 4944 def cons 68 ref 4942 ref nil cons 4945 def cons nil cons 4946 def cons nil cons cons 4947 def 86 ref subst 4947 remove 151 ref subst 4939 ref betaConv 4939 remove assume eqMp nil 67 ref 4937 remove nil cons 4948 def cons 4946 remove cons nil cons cons 4949 def 136 ref subst proveHyp 4949 ref 86 ref subst 4949 remove 151 ref subst nil 1725 remove 1010 ref cons nil cons cons 4950 def 127 ref subst 4950 remove 347 ref subst nil 144 ref 4941 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4940 remove nil cons cons nil cons nil cons cons 106 ref subst 4715 remove 4716 remove 1736 remove nil 67 ref 1714 remove cons 1706 ref cons nil cons cons 136 ref subst proveHyp 329 ref 1717 remove 136 ref subst appThm 634 ref appThm 4708 ref 1030 ref eqMp trans sym 105 ref eqMp eqMp eqMp 4717 remove deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 4948 remove cons 114 ref 4945 remove cons nil cons 4951 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 4944 remove cons 4951 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 4938 ref 1822 ref appTerm appTerm 4942 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 534 ref 4938 ref appTerm appTerm 4942 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4938 remove nil cons cons 4951 remove cons nil cons cons 929 ref subst eqMp eqMp 4952 def eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 4936 remove appTerm thm 55 ref 41 ref 292 ref 4 ref 33 ref 366 ref 4 ref 27 ref "Set.rest" const 605 ref constTerm 28 ref appTerm 4953 def appTerm 1114 ref "Set.choice" const 18 ref 3 ref 2 ref cons opType constTerm 28 ref appTerm 4954 def appTerm appTerm absTerm 4955 def 28 ref appTerm 4956 def betaConv nil 288 ref 4955 ref appTerm 4957 def axiom nil 67 ref 4957 remove nil cons cons 68 ref 4956 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4955 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp appThm nil 296 ref 4954 ref nil cons cons nil cons nil cons cons 1197 ref subst trans appThm 621 ref 34 ref 221 ref 4954 remove appTerm appTerm appTerm 4958 def refl appThm nil 166 ref 4958 ref nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 526 ref trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 41 ref 288 ref 4 ref 23 ref 46 ref 4953 remove appTerm appTerm 4958 remove appTerm absTerm appTerm absTerm appTerm thm 463 remove nil 464 remove thm 55 ref 41 ref 55 ref 296 ref 292 ref 4 ref 33 ref 1178 ref appThm 1179 remove 49 ref appTerm 4959 def refl appThm nil 166 ref 4959 ref nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 526 ref trans absThm appThm 377 ref trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 41 ref 54 ref 296 ref 288 ref 4 ref 23 ref 46 ref 3979 remove appTerm appTerm 4959 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 144 ref 41 ref 288 ref 4 ref 288 ref 11 ref 23 ref 686 ref 1161 ref appTerm 30 ref appTerm 4960 def appTerm 653 ref 688 ref appTerm 4961 def appTerm 4962 def absTerm 4963 def appTerm 4964 def absTerm 4965 def appTerm 4966 def absTerm 4967 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4966 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4965 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 4964 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 4963 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 4962 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 1035 ref 1316 ref appThm 1036 ref appThm appThm 4961 ref refl 4968 def appThm sym 33 ref nil 4041 ref 2257 remove cons nil cons cons 4969 def 33 ref 4288 ref 700 ref subst 55 ref 41 ref 329 ref 1258 ref appThm 4970 def 4057 ref appThm absThm appThm trans appThm 544 ref 4345 ref appThm 4971 def 4344 ref appThm appThm sym nil 67 ref 54 ref 41 ref 2320 remove 501 ref appTerm 4972 def absTerm 4973 def appTerm 4974 def nil cons 4975 def cons 4976 def 68 ref 75 ref 4352 ref appTerm 4977 def 4348 ref appTerm 4978 def nil cons 4979 def cons nil cons cons nil cons cons 4980 def 348 ref subst 4980 ref 86 ref subst 4980 remove 151 ref subst 4366 ref 41 ref 4367 ref 4369 ref 4370 ref 1993 remove nil 2316 remove 4070 ref cons nil cons cons 4981 def 136 ref subst 4982 def proveHyp 4973 ref 45 ref appTerm 4983 def betaConv nil 4976 remove 68 ref 4983 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 4973 remove nil cons cons 4984 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp 4985 def eqMp eqMp 4378 ref deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4359 ref cons 4986 def 68 ref 4362 ref cons nil cons cons nil cons cons 151 ref subst proveHyp nil 4375 ref nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4346 remove nil cons cons nil cons nil cons cons 106 ref subst 4371 ref 86 ref subst 4371 remove 151 ref subst 4987 def 2322 remove 4982 remove proveHyp 4985 remove eqMp eqMp nil 1935 ref 4078 ref cons nil cons cons 4988 def 127 ref subst 4989 def deductAntisym eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 4975 ref cons 114 ref 4979 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 4974 ref appTerm 4978 ref appTerm nil cons cons 68 ref 69 ref 4978 remove appTerm 4974 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 4979 ref cons 68 ref 4975 ref cons nil cons cons nil cons cons 4990 def 86 ref subst 4990 remove 151 ref subst nil 112 ref 4359 remove cons 4991 def 4363 ref cons nil cons cons 4992 def 127 ref subst 4992 remove 347 ref subst nil 4984 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 4972 remove nil cons cons nil cons nil cons cons 106 ref subst 4981 ref 86 ref subst 4981 remove 151 ref subst 4376 ref 4351 ref 45 ref appTerm 4993 def betaConv nil 4986 ref 68 ref 4993 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 4365 ref 311 ref cons nil cons cons 161 ref subst eqMp eqMp 4994 def nil 1731 ref 1726 ref 261 ref 4016 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 2319 remove 4078 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 4979 remove cons 114 ref 4975 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 4995 def subst appThm 4968 remove appThm sym 544 ref 33 ref 1208 ref 700 ref subst 55 ref 1134 ref 2259 ref 1262 ref appThm absThm appThm trans appThm 368 ref appThm sym nil 67 ref 54 ref 1134 ref 2260 ref 1261 ref appTerm 4996 def absTerm 4997 def appTerm 4998 def nil cons 4999 def cons 5000 def 1017 ref cons nil cons cons 5001 def 348 ref subst 5001 ref 86 ref subst 5001 remove 151 ref subst 4997 ref 45 ref appTerm 5002 def betaConv nil 5000 remove 68 ref 5002 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 4997 remove nil cons cons 5003 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 222 ref appTerm 47 ref appTerm nil cons cons 1017 ref cons nil cons cons 136 ref subst proveHyp 329 ref nil 1819 ref nil cons nil cons cons 329 ref 224 ref appThm 84 remove appThm 101 ref 2033 ref subst trans subst appThm 368 ref appThm 2327 remove trans sym 105 ref eqMp eqMp eqMp nil 112 ref 4999 ref cons 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 4998 ref appTerm 47 ref appTerm nil cons cons 68 ref 997 ref 4998 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1819 ref 68 ref 4999 ref cons nil cons cons nil cons cons 5004 def 86 ref subst 5004 remove 151 ref subst nil 5003 remove nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 4996 remove nil cons 5005 def cons nil cons nil cons cons 106 ref subst nil 2226 ref 3376 ref cons nil cons cons 5006 def 86 ref subst 5006 remove 151 ref subst 3772 ref 2229 remove appThm 5007 def 1036 ref appThm 5008 def 1793 ref trans 5009 def sym 105 ref eqMp eqMp 3379 ref 127 ref subst 5010 def deductAntisym eqMp 5011 def eqMp absThm eqMp eqMp nil 1935 ref 114 ref 4999 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp appThm 2183 remove appThm eqMp eqMp 5012 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 54 ref 4967 remove appTerm thm 292 ref 4 ref 292 ref 11 ref 55 ref 41 ref 651 remove 622 ref refl appThm nil 166 ref 1896 remove cons nil cons nil cons cons 225 ref subst trans absThm appThm 377 ref trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 288 ref 11 ref 54 ref 41 ref 23 ref 46 ref 610 ref appTerm 5013 def appTerm 622 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref 292 ref 11 ref 55 ref 41 ref 1328 remove 1249 ref refl appThm nil 166 ref 1989 remove cons nil cons nil cons cons 225 ref subst trans absThm appThm 377 ref trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 288 ref 11 ref 54 ref 41 ref 23 ref 46 ref 1230 ref appTerm 5014 def appTerm 1249 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 23 ref 687 ref 1882 remove 498 ref appTerm 5015 def appTerm appTerm 957 ref 601 remove 498 ref appTerm 5016 def appTerm appTerm 5017 def absTerm 5018 def appTerm 5019 def absTerm 5020 def appTerm 5021 def absTerm 5022 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5021 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5020 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5019 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5018 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5017 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 11 ref 5015 ref nil cons 5023 def cons nil cons nil cons cons 700 ref subst 55 ref 41 ref 705 ref 4014 ref 1152 ref subst appThm absThm appThm trans appThm 994 ref 4299 ref 619 ref subst 5024 def nil 15 ref 4 ref 609 ref 498 ref appTerm 5025 def nil cons 5026 def cons nil cons 5027 def cons nil cons cons 381 ref subst trans 55 ref 41 ref 33 ref 4299 ref 632 ref subst 5028 def appThm 466 remove appThm nil 99 ref 621 ref 501 ref appTerm 5029 def nil cons 5030 def cons nil cons nil cons cons 5031 def 217 ref subst trans absThm appThm trans appThm appThm sym nil 67 ref 54 ref 41 ref 690 ref 653 ref 4011 remove appTerm 5032 def appTerm 5033 def absTerm 5034 def appTerm 5035 def nil cons 5036 def cons 5037 def 68 ref 996 ref 54 ref 41 ref 34 ref 5029 ref appTerm 5038 def absTerm 5039 def appTerm 5040 def appTerm 5041 def nil cons 5042 def cons nil cons cons nil cons cons 5043 def 348 ref subst 5043 ref 86 ref subst 5043 remove 151 ref subst 2299 ref 41 ref 2300 ref 2301 ref 2292 ref 5034 ref 45 ref appTerm 5044 def betaConv nil 5037 remove 68 ref 5044 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 5034 remove nil cons cons 5045 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp 5046 def nil 67 ref 5033 remove nil cons 5047 def cons 5048 def 1017 ref cons nil cons cons 136 ref subst proveHyp 329 ref 4076 ref 5032 ref refl appThm nil 99 ref 5032 remove nil cons 5049 def cons nil cons nil cons cons 2033 ref subst trans appThm 368 ref appThm sym nil 67 ref 5049 ref cons 1017 ref cons nil cons cons 5050 def 86 ref subst 5050 remove 151 ref subst nil 1935 ref 114 ref 4025 ref cons nil cons cons nil cons cons 127 ref subst eqMp nil 112 ref 5049 ref cons 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 1917 ref deductAntisym eqMp eqMp absThm eqMp nil 1020 ref 68 ref 5040 remove nil cons 5051 def cons nil cons cons nil cons cons 151 ref subst proveHyp nil 144 ref 5039 ref nil cons cons 5052 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 5038 remove nil cons 5053 def cons nil cons nil cons cons 5054 def 106 ref subst nil 112 ref 5030 ref cons 5055 def nil cons nil cons cons 1070 ref subst nil 67 ref 5030 remove cons 1072 ref cons nil cons cons 5056 def 86 ref subst 5056 remove 151 ref subst 4378 ref 4377 remove 347 ref subst 5046 remove nil 5048 remove 1072 ref cons nil cons cons 136 ref subst proveHyp nil 99 ref 5047 remove cons nil cons nil cons cons 5057 def 1077 ref subst 35 ref 4076 ref 3443 remove 35 ref 4077 ref 106 ref subst 501 ref assume eqMp 5058 def appThm 417 ref trans appThm 519 remove 1106 ref subst 5059 def trans appThm 552 ref 2033 ref subst trans appThm 400 ref trans trans sym 105 ref eqMp eqMp proveHyp proveHyp eqMp nil 5055 remove 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 5036 ref cons 114 ref 5042 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 5035 ref appTerm 5041 ref appTerm nil cons cons 68 ref 69 ref 5041 remove appTerm 5035 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 5042 ref cons 68 ref 5036 ref cons nil cons cons nil cons cons 5060 def 86 ref subst 5060 remove 151 ref subst nil 1008 ref 114 ref 5051 ref cons nil cons cons nil cons cons 5061 def 127 ref subst 5061 remove 347 ref subst nil 5045 remove nil cons nil cons cons 326 ref subst 41 ref 5057 remove 106 ref subst nil 1015 ref 68 ref 5049 ref cons nil cons cons nil cons cons 5062 def 86 ref subst 5062 remove 151 ref subst 2293 ref nil 1819 ref 68 ref 4025 remove cons nil cons cons nil cons cons 151 ref subst proveHyp nil 112 ref 4016 ref cons 5063 def nil cons nil cons cons 1070 ref subst nil 67 ref 4016 ref cons 5064 def 1072 ref cons nil cons cons 5065 def 86 ref subst 5065 remove 151 ref subst 5039 remove 45 ref appTerm 5066 def betaConv nil 67 ref 5051 remove cons 68 ref 5066 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 5052 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5053 remove cons 1072 ref cons nil cons cons 136 ref subst proveHyp 5054 remove 1077 ref subst 5031 remove 210 ref subst trans 1923 ref 5058 ref appThm 941 ref trans trans sym 105 ref eqMp eqMp eqMp nil 5063 ref 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 1731 ref 114 ref 5049 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 5042 remove cons 114 ref 5036 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 5067 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 5022 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 23 ref 687 ref 4275 ref appTerm appTerm 957 ref 4303 ref appTerm appTerm 5068 def absTerm 5069 def appTerm 5070 def absTerm 5071 def appTerm 5072 def absTerm 5073 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5072 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5071 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5070 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5069 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5068 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 4282 ref 700 ref subst 55 ref 41 ref 705 ref 4283 ref appThm absThm appThm trans appThm 994 remove 4345 ref appThm appThm sym nil 67 ref 54 ref 41 ref 690 ref 653 ref 501 ref appTerm 5074 def appTerm 5075 def absTerm 5076 def appTerm 5077 def nil cons 5078 def cons 5079 def 68 ref 996 remove 4352 ref appTerm 5080 def nil cons 5081 def cons nil cons cons nil cons cons 5082 def 348 ref subst 5082 ref 86 ref subst 5082 remove 151 ref subst 2299 ref 41 ref 2300 remove 2301 remove 2292 ref 5076 ref 45 ref appTerm 5083 def betaConv nil 5079 remove 68 ref 5083 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 5076 remove nil cons cons 5084 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp 5085 def nil 67 ref 5075 remove nil cons 5086 def cons 5087 def 1017 ref cons nil cons cons 136 ref subst proveHyp 329 ref 4076 ref 5074 ref refl appThm nil 99 ref 5074 ref nil cons 5088 def cons nil cons nil cons cons 2033 ref subst trans appThm 5089 def 368 ref appThm sym nil 67 ref 5088 ref cons 5090 def 1017 ref cons nil cons cons 5091 def 86 ref subst 5091 remove 151 ref subst 4989 remove eqMp nil 112 ref 5088 ref cons 5092 def 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 1917 ref deductAntisym eqMp eqMp absThm eqMp nil 1020 remove 4360 remove cons nil cons cons 151 ref subst proveHyp 4366 remove 41 ref 4367 remove 4369 remove 4370 remove 5085 remove nil 5087 remove 4070 ref cons nil cons cons 136 ref subst proveHyp 5089 remove 4057 ref appThm sym nil 5090 remove 4070 ref cons nil cons cons 5093 def 86 ref subst 5093 remove 151 ref subst 4988 remove 347 ref subst eqMp nil 5092 remove 4078 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 4378 remove deductAntisym eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 5078 ref cons 114 ref 5081 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 5077 ref appTerm 5080 ref appTerm nil cons cons 68 ref 69 ref 5080 remove appTerm 5077 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 5081 ref cons 68 ref 5078 ref cons nil cons cons nil cons cons 5094 def 86 ref subst 5094 remove 151 ref subst nil 1008 remove 4379 ref cons nil cons cons 5095 def 127 ref subst 5095 remove 347 ref subst nil 5084 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 5086 remove cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 5088 ref cons nil cons cons nil cons cons 5096 def 86 ref subst 5096 remove 151 ref subst 2293 remove 4987 remove proveHyp 4368 remove 136 ref subst 4994 ref eqMp 5097 def eqMp eqMp nil 1731 ref 114 ref 5088 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 5081 remove cons 114 ref 5078 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 5073 remove appTerm thm 292 ref 4 ref 292 ref 11 ref 292 ref 494 ref 33 ref 4288 ref 619 ref subst 640 ref 640 ref 4288 remove 681 ref subst appThm 1217 ref refl 5098 def 4299 ref 681 ref subst appThm 4014 ref 681 ref subst appThm appThm sym nil 4041 ref 596 ref 4 ref 4008 remove cons 5099 def nil cons 5100 def cons cons nil cons cons 5101 def 494 ref 27 ref 609 ref 3998 ref appTerm 5102 def appTerm 1217 ref 610 ref appTerm 5103 def 5025 ref appTerm 5104 def appTerm 5105 def absTerm 5106 def 498 ref appTerm 5107 def betaConv 11 ref 288 ref 5106 ref appTerm 5108 def absTerm 5109 def 30 ref appTerm 5110 def betaConv 4 ref 288 ref 5109 ref appTerm 5111 def absTerm 5112 def 28 ref appTerm 5113 def betaConv 292 ref 4 ref 292 ref 11 ref 292 ref 494 ref nil 11 ref 5104 ref nil cons cons 4 ref 5102 ref nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 4013 ref 632 ref subst 1357 ref 4015 remove appThm trans appThm nil 11 ref 5026 ref cons 650 remove cons nil cons cons 1258 ref subst 1259 ref 632 ref appThm 5028 remove appThm trans appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 54 ref 41 ref 23 ref 621 ref 4058 remove appTerm appTerm 251 ref 622 ref appTerm 5029 remove appTerm appTerm 5114 def absTerm 5115 def appTerm 5116 def absTerm 5117 def appTerm 5118 def absTerm 5119 def appTerm 5120 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5120 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5119 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5118 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5117 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5116 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 5115 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 5114 remove nil cons cons nil cons nil cons cons 106 ref subst nil 267 ref 4016 ref cons 1016 remove 1015 ref nil cons 5121 def cons 5122 def cons nil cons cons 5123 def 267 ref 23 ref 76 ref 251 ref 72 ref appTerm 268 ref appTerm appTerm appTerm 251 ref 77 ref appTerm 76 ref 268 ref appTerm 5124 def appTerm appTerm absTerm 5125 def 268 ref appTerm 5126 def betaConv 68 ref 198 ref 5125 ref appTerm 5127 def absTerm 5128 def 72 ref appTerm 5129 def betaConv 67 ref 198 ref 5128 ref appTerm 5130 def absTerm 5131 def 70 ref appTerm 5132 def betaConv nil 198 ref 5131 ref appTerm 5133 def axiom nil 67 ref 5133 remove nil cons cons 68 ref 5132 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 5131 remove nil cons cons 1580 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5130 remove nil cons cons 68 ref 5129 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 5128 remove nil cons cons 1596 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5127 remove nil cons cons 68 ref 5126 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 5125 remove nil cons cons 166 ref 268 ref nil cons 5134 def cons nil cons 5135 def cons nil cons cons 161 ref subst eqMp eqMp 5136 def subst eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 5137 def nil 67 ref 288 ref 5112 ref appTerm 5138 def nil cons cons 68 ref 5113 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5112 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5111 remove nil cons cons 68 ref 5110 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5109 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5108 remove nil cons cons 68 ref 5107 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5106 remove nil cons cons 4039 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp 5139 def appThm 683 ref appThm nil 4281 remove 5027 remove cons nil cons cons 4629 ref 30 ref appTerm 5140 def betaConv 4631 ref 28 ref appTerm 5141 def betaConv 4628 remove nil 67 ref 4632 remove nil cons cons 68 ref 5141 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4631 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4630 remove nil cons cons 68 ref 5140 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4629 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp subst trans trans appThm 544 ref 5024 remove appThm 4014 ref 619 ref subst appThm appThm nil 166 ref 75 ref 27 ref 5025 ref appTerm 13 ref appTerm appTerm 27 ref 4275 ref appTerm 13 ref appTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 526 ref trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp 5142 def nil 288 ref 4 ref 288 ref 11 ref 288 ref 494 ref 23 ref 600 ref 1230 ref appTerm 498 ref appTerm appTerm 75 ref 5016 remove appTerm 2174 remove 498 ref appTerm appTerm appTerm absTerm 5143 def appTerm 5144 def absTerm 5145 def appTerm 5146 def absTerm 5147 def appTerm 5148 def thm nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 23 ref 686 ref 1230 ref appTerm 498 ref appTerm appTerm 4304 ref 4310 ref appTerm appTerm 5149 def absTerm 5150 def appTerm 5151 def absTerm 5152 def appTerm 5153 def absTerm 5154 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5153 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5152 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5151 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5150 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5149 remove nil cons cons nil cons nil cons cons 106 ref subst 4995 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 5154 remove appTerm thm 5137 ref nil 5138 remove thm 292 ref 4 ref 292 ref 11 ref 292 ref 494 ref nil 11 ref 608 ref 1230 ref appTerm 5155 def 1229 ref 498 ref appTerm 5156 def appTerm 5157 def nil cons cons 4 ref 1229 remove 4275 ref appTerm 5158 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 4282 remove 1258 ref subst 1765 remove 4283 remove appThm trans appThm nil 11 ref 5156 ref nil cons cons 1327 remove cons nil cons cons 632 ref subst 544 ref 1258 ref appThm 5159 def 4299 ref 1258 ref subst appThm trans appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 54 ref 41 ref 23 ref 1248 ref 5074 remove appTerm appTerm 75 ref 1249 remove appTerm 5160 def 1248 remove 501 ref appTerm appTerm appTerm 5161 def absTerm 5162 def appTerm 5163 def absTerm 5164 def appTerm 5165 def absTerm 5166 def appTerm 5167 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5167 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5166 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5165 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5164 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5163 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 5162 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 5161 remove nil cons cons nil cons nil cons cons 106 ref subst 5123 remove 267 ref 23 ref 1569 ref 75 ref 72 ref appTerm 268 ref appTerm 5168 def appTerm appTerm 75 ref 1569 ref 72 ref appTerm 5169 def appTerm 5170 def 1569 remove 268 ref appTerm appTerm appTerm absTerm 5171 def 268 ref appTerm 5172 def betaConv 68 ref 198 ref 5171 ref appTerm 5173 def absTerm 5174 def 72 ref appTerm 5175 def betaConv 67 ref 198 ref 5174 ref appTerm 5176 def absTerm 5177 def 70 ref appTerm 5178 def betaConv nil 198 ref 5177 ref appTerm 5179 def axiom nil 67 ref 5179 remove nil cons cons 68 ref 5178 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 5177 remove nil cons cons 1580 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5176 remove nil cons cons 68 ref 5175 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 5174 remove nil cons cons 1596 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5173 remove nil cons cons 68 ref 5172 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 5171 remove nil cons cons 5135 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 5180 def nil 288 ref 4 ref 288 ref 11 ref 288 ref 494 ref 27 ref 5158 remove appTerm 5157 remove appTerm absTerm 5181 def appTerm 5182 def absTerm 5183 def appTerm 5184 def absTerm 5185 def appTerm 5186 def thm nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 27 ref 5155 remove 498 ref appTerm appTerm 1217 ref 5025 ref appTerm 4275 ref appTerm appTerm 5187 def absTerm 5188 def appTerm 5189 def absTerm 5190 def appTerm 5191 def absTerm 5192 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5191 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5190 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5189 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5188 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5187 remove nil cons cons nil cons nil cons cons 106 ref subst 5139 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 5192 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 288 ref 494 ref 27 ref 5103 ref 498 ref appTerm appTerm 608 ref 5156 remove appTerm 3998 ref appTerm appTerm 5193 def absTerm 5194 def appTerm 5195 def absTerm 5196 def appTerm 5197 def absTerm 5198 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5197 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5196 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5195 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5194 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5193 remove nil cons cons nil cons nil cons cons 106 ref subst 640 ref 4278 remove 1345 ref subst appThm 608 ref refl 4299 ref 1345 ref subst appThm 4045 remove appThm appThm sym 5101 remove 5181 ref 498 ref appTerm 5199 def betaConv 5183 ref 30 ref appTerm 5200 def betaConv 5185 ref 28 ref appTerm 5201 def betaConv 5180 remove nil 67 ref 5186 remove nil cons cons 68 ref 5201 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5185 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5184 remove nil cons cons 68 ref 5200 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5183 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5182 remove nil cons cons 68 ref 5199 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5181 remove nil cons cons 4039 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 5198 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 384 remove absTerm 5202 def appTerm 5203 def absTerm 5204 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5203 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5202 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 385 remove cons nil cons nil cons cons 106 ref subst 421 remove eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 5204 remove appTerm thm 292 ref 4 ref 1522 ref 783 ref 1522 ref "u" 731 ref var 5205 def nil 727 ref 1117 ref 18 ref 726 ref 4616 remove cons opType 5206 def constTerm 5207 def 790 ref appTerm 788 ref 5205 ref varTerm 5208 def appTerm 5209 def appTerm 5210 def nil cons cons 729 ref 788 ref 1117 remove 3791 ref constTerm 5211 def 789 ref appTerm 5208 ref appTerm 5212 def appTerm 5213 def nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 5213 ref appTerm appTerm 753 ref 5210 ref appTerm appTerm absTerm 5214 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 5214 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 5214 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 783 ref 5212 remove nil cons cons 1529 ref cons nil cons cons 1537 ref subst 544 ref 1540 ref refl 5215 def appThm 5216 def nil 783 ref 5208 ref nil cons 5217 def cons 5218 def 1549 ref 874 ref cons cons nil cons cons 5219 def 897 ref 1152 ref subst 5220 def subst appThm trans appThm nil 727 ref 5209 ref nil cons cons 1524 remove 842 ref cons cons nil cons cons 5221 def 742 ref 1152 ref subst 5222 def subst 3740 ref 35 ref nil 5218 ref 1529 ref cons nil cons cons 1537 ref subst 5223 def appThm appThm trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 812 ref 783 ref 812 ref 5205 ref 54 ref 452 ref 757 ref 759 ref 23 ref 1541 ref 75 ref 1543 ref appTerm 5224 def 34 ref 1542 ref 5208 ref appTerm 5225 def appTerm appTerm 5226 def appTerm appTerm 75 ref 1544 ref appTerm 5227 def 34 ref 1541 ref 5225 ref appTerm 5228 def appTerm appTerm appTerm 5229 def absTerm 5230 def appTerm 5231 def absTerm 5232 def appTerm 5233 def absTerm 5234 def appTerm 5235 def absTerm 5236 def appTerm 5237 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5237 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 5236 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 5235 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 5234 remove nil cons cons nil cons nil cons cons 3128 ref subst 5205 ref nil 99 ref 5233 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 5232 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 5231 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 5230 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 5229 remove nil cons 5238 def cons nil cons nil cons cons 106 ref subst nil 67 ref 23 ref 1540 ref appTerm 5239 def 171 ref appTerm 5240 def nil cons 5241 def cons 5242 def 68 ref 5238 ref cons nil cons 5243 def cons nil cons cons 5244 def 86 ref subst 5244 remove 151 ref subst 23 ref "_11912" 19 ref var 5245 def 23 ref 75 ref 5245 remove varTerm appTerm 5246 def 5226 ref appTerm appTerm 75 ref 5246 ref 1543 ref appTerm appTerm 34 ref 5246 remove 5225 ref appTerm appTerm appTerm appTerm absTerm 5247 def 1540 ref appTerm 5248 def appTerm refl 5249 def 5247 ref 171 ref appTerm betaConv appThm 33 ref 5248 remove betaConv appThm 5250 def 23 ref 545 ref 5226 ref appTerm appTerm 75 ref 545 ref 1543 ref appTerm 5251 def appTerm 5252 def 34 ref 545 ref 5225 ref appTerm 5253 def appTerm appTerm appTerm refl appThm trans 5247 remove refl 5254 def 5240 remove assume 5255 def appThm eqMp sym 33 ref nil 99 ref 5226 ref nil cons 5256 def cons nil cons nil cons cons 5257 def 549 ref subst appThm 544 ref nil 99 ref 1557 ref cons nil cons nil cons cons 5258 def 549 ref subst 5259 def appThm 5260 def 35 ref nil 99 ref 5225 ref nil cons cons nil cons nil cons cons 5261 def 549 ref subst 5262 def appThm 400 ref trans appThm 371 ref 549 ref subst 5263 def trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 5241 ref cons 5264 def 114 ref 5238 ref cons nil cons 5265 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 5239 ref 91 ref appTerm 5266 def nil cons 5267 def cons 5268 def 5243 remove cons nil cons cons 5269 def 86 ref subst 5269 remove 151 ref subst 5249 remove "_11910" 19 ref var 5270 def 23 ref 75 ref 5270 remove varTerm appTerm 5271 def 5226 ref appTerm appTerm 75 ref 5271 ref 1543 ref appTerm appTerm 34 ref 5271 remove 5225 ref appTerm appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5250 remove 23 ref 558 ref 5226 remove appTerm appTerm 75 ref 558 ref 1543 ref appTerm 5272 def appTerm 5273 def 34 ref 558 ref 5225 ref appTerm 5274 def appTerm appTerm appTerm refl appThm trans 5254 remove 5266 remove assume 5275 def appThm eqMp sym 33 ref 5257 remove 562 ref subst appThm 544 ref 5258 ref 562 ref subst 5276 def appThm 5277 def 35 ref 5261 remove 562 ref subst 5278 def appThm appThm appThm nil 166 ref 5256 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 112 ref 5267 remove cons 5279 def 5265 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 1540 ref appTerm 5280 def betaConv 255 ref nil 256 ref 68 ref 5280 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 1558 ref cons nil cons 5281 def cons nil cons cons 161 ref subst eqMp eqMp 5282 def nil 5279 ref 114 ref 5241 ref cons 5283 def 261 ref 5238 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 288 ref 4 ref 812 ref 783 ref 812 ref 5205 ref 787 ref 5213 remove appTerm 5210 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref 1522 ref 783 ref 1522 ref 5205 ref nil 727 ref 604 ref 5206 ref constTerm 5284 def 790 ref appTerm 5209 ref appTerm 5285 def nil cons cons 729 ref 788 ref 604 remove 3791 ref constTerm 5286 def 789 ref appTerm 5208 ref appTerm 5287 def appTerm 5288 def nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 5288 ref appTerm appTerm 753 ref 5285 ref appTerm appTerm absTerm 5289 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 5289 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 5289 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 783 ref 5287 remove nil cons cons 1529 ref cons nil cons cons 1537 ref subst 5216 ref 5219 ref 897 ref 632 ref subst 5290 def subst appThm trans appThm 5221 ref 742 ref 632 ref subst 5291 def subst 3740 remove 5223 ref appThm trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 812 ref 783 ref 812 ref 5205 ref 54 ref 452 ref 757 ref 759 ref 23 ref 1541 ref 5224 ref 5225 ref appTerm 5292 def appTerm appTerm 5227 remove 5228 ref appTerm appTerm 5293 def absTerm 5294 def appTerm 5295 def absTerm 5296 def appTerm 5297 def absTerm 5298 def appTerm 5299 def absTerm 5300 def appTerm 5301 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5301 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 5300 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 5299 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 5298 remove nil cons cons nil cons nil cons cons 3128 ref subst 5205 ref nil 99 ref 5297 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 5296 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 5295 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 5294 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 5293 remove nil cons 5302 def cons nil cons nil cons cons 106 ref subst nil 5242 ref 68 ref 5302 ref cons nil cons 5303 def cons nil cons cons 5304 def 86 ref subst 5304 remove 151 ref subst 23 ref "_11876" 19 ref var 5305 def 23 ref 75 ref 5305 remove varTerm appTerm 5306 def 5292 ref appTerm appTerm 75 ref 5306 ref 1543 ref appTerm appTerm 5306 remove 5225 ref appTerm appTerm appTerm absTerm 5307 def 1540 ref appTerm 5308 def appTerm refl 5309 def 5307 ref 171 ref appTerm betaConv appThm 33 ref 5308 remove betaConv appThm 5310 def 23 ref 545 ref 5292 ref appTerm appTerm 5252 remove 5253 ref appTerm appTerm refl appThm trans 5307 remove refl 5311 def 5255 ref appThm eqMp sym 33 ref nil 99 ref 5292 ref nil cons 5312 def cons nil cons nil cons cons 5313 def 549 ref subst appThm 5260 remove 5262 ref appThm 552 ref 549 ref subst trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 5264 ref 114 ref 5302 ref cons nil cons 5314 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 5268 ref 5303 remove cons nil cons cons 5315 def 86 ref subst 5315 remove 151 ref subst 5309 remove "_11874" 19 ref var 5316 def 23 ref 75 ref 5316 remove varTerm appTerm 5317 def 5292 ref appTerm appTerm 75 ref 5317 ref 1543 ref appTerm appTerm 5317 remove 5225 ref appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5310 remove 23 ref 558 ref 5292 remove appTerm appTerm 5273 remove 5274 ref appTerm appTerm refl appThm trans 5311 remove 5275 ref appThm eqMp sym 33 ref 5313 remove 562 ref subst appThm 5277 remove 5278 ref appThm appThm nil 166 ref 5312 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 5279 ref 5314 remove cons nil cons cons 127 ref subst deductAntisym eqMp 5282 ref nil 5279 ref 5283 ref 261 ref 5302 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 288 ref 4 ref 812 ref 783 ref 812 ref 5205 ref 787 ref 5288 remove appTerm 5285 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref 4 ref 1522 ref 783 ref 1522 ref 5205 ref nil 727 ref 1216 ref 5206 ref constTerm 5318 def 790 ref appTerm 5209 remove appTerm 5319 def nil cons cons 729 ref 788 ref 1216 remove 3791 remove constTerm 5320 def 789 ref appTerm 5208 ref appTerm 5321 def appTerm 5322 def nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 5322 ref appTerm appTerm 753 ref 5319 ref appTerm appTerm absTerm 5323 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 5323 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 5323 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 783 ref 5321 remove nil cons cons 1529 ref cons nil cons cons 1537 ref subst 5216 ref 5219 remove 897 ref 1258 ref subst 5324 def subst appThm trans appThm 5221 remove 742 ref 1258 ref subst 5325 def subst 1259 ref 1538 ref appThm 5223 remove appThm trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 317 ref 4 ref 812 ref 783 ref 812 ref 5205 ref 54 ref 452 ref 757 ref 759 ref 23 ref 1541 ref 251 ref 1543 ref appTerm 5225 ref appTerm 5326 def appTerm appTerm 251 ref 1544 ref appTerm 5228 remove appTerm appTerm 5327 def absTerm 5328 def appTerm 5329 def absTerm 5330 def appTerm 5331 def absTerm 5332 def appTerm 5333 def absTerm 5334 def appTerm 5335 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5335 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 5334 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 5333 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 5332 remove nil cons cons nil cons nil cons cons 3128 ref subst 5205 ref nil 99 ref 5331 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 5330 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 5329 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 5328 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 5327 remove nil cons 5336 def cons nil cons nil cons cons 106 ref subst nil 5242 ref 68 ref 5336 ref cons nil cons 5337 def cons nil cons cons 5338 def 86 ref subst 5338 remove 151 ref subst 23 ref "_11896" 19 ref var 5339 def 23 ref 75 ref 5339 remove varTerm appTerm 5340 def 5326 ref appTerm appTerm 251 ref 5340 ref 1543 ref appTerm appTerm 5340 remove 5225 ref appTerm appTerm appTerm absTerm 5341 def 1540 ref appTerm 5342 def appTerm refl 5343 def 5341 ref 171 ref appTerm betaConv appThm 33 ref 5342 remove betaConv appThm 5344 def 23 ref 545 ref 5326 ref appTerm appTerm 251 ref 5251 ref appTerm 5253 remove appTerm appTerm refl appThm trans 5341 remove refl 5345 def 5255 ref appThm eqMp sym 33 ref nil 99 ref 5326 ref nil cons 5346 def cons nil cons nil cons cons 5347 def 549 ref subst appThm 1259 ref 5259 ref appThm 5262 remove appThm 3940 ref trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 5264 ref 114 ref 5336 ref cons nil cons 5348 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 5268 ref 5337 remove cons nil cons cons 5349 def 86 ref subst 5349 remove 151 ref subst 5343 remove "_11894" 19 ref var 5350 def 23 ref 75 ref 5350 remove varTerm appTerm 5351 def 5326 ref appTerm appTerm 251 ref 5351 ref 1543 ref appTerm appTerm 5351 remove 5225 remove appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5344 remove 23 ref 558 ref 5326 remove appTerm appTerm 251 ref 5272 ref appTerm 5274 remove appTerm appTerm refl appThm trans 5345 remove 5275 ref appThm eqMp sym 33 ref 5347 remove 562 ref subst appThm 1259 ref 5276 ref appThm 5278 remove appThm appThm nil 166 ref 5346 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 5279 ref 5348 remove cons nil cons cons 127 ref subst deductAntisym eqMp 5282 ref nil 5279 ref 5283 ref 261 ref 5336 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 288 ref 4 ref 812 ref 783 ref 812 ref 5205 ref 787 ref 5322 remove appTerm 5319 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 1522 ref 1548 ref 292 ref 11 ref 292 ref 494 ref nil 727 ref 5207 remove 736 ref 30 ref appTerm 1617 ref appTerm 5352 def appTerm 736 ref 498 ref appTerm 1617 ref appTerm 5353 def appTerm 5354 def nil cons cons 729 ref 736 ref 5015 remove appTerm 1617 ref appTerm 5355 def nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 5355 ref appTerm appTerm 753 ref 5354 ref appTerm appTerm absTerm 5356 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 5356 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 5356 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 1619 ref 4 ref 5023 remove cons 1529 ref cons cons nil cons cons 1537 ref subst 544 ref nil 4009 remove 637 ref 868 ref cons cons nil cons cons 5357 def 1152 ref subst appThm 1542 ref 1617 ref appTerm 5358 def refl 5359 def appThm trans appThm nil 727 ref 5353 ref nil cons cons 729 ref 5352 ref nil cons cons 842 ref cons cons nil cons cons 5360 def 5222 remove subst 544 ref nil 1619 ref 637 ref 1529 ref cons cons nil cons cons 1537 ref subst 5361 def appThm 5362 def 35 ref nil 1619 ref 5099 ref 1529 ref cons cons nil cons cons 1537 ref subst 5363 def appThm appThm trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 820 ref 1548 ref 288 ref 11 ref 288 ref 494 ref 54 ref 452 ref 757 ref 759 ref 23 ref 75 ref 75 ref 834 ref 30 ref appTerm 5364 def appTerm 5365 def 34 ref 834 ref 498 ref appTerm 5366 def appTerm 5367 def appTerm appTerm 5358 ref appTerm appTerm 75 ref 5365 ref 5358 ref appTerm 5368 def appTerm 5369 def 34 ref 75 ref 5366 ref appTerm 5370 def 5358 ref appTerm 5371 def appTerm 5372 def appTerm appTerm 5373 def absTerm 5374 def appTerm 5375 def absTerm 5376 def appTerm 5377 def absTerm 5378 def appTerm 5379 def absTerm 5380 def appTerm 5381 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 1548 ref nil 99 ref 5381 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5380 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5379 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5378 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5377 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 5376 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 5375 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 5374 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 5373 remove nil cons 5382 def cons nil cons nil cons cons 106 ref subst nil 67 ref 23 ref 5364 ref appTerm 5383 def 171 ref appTerm 5384 def nil cons 5385 def cons 5386 def 68 ref 5382 ref cons nil cons 5387 def cons nil cons cons 5388 def 86 ref subst 5388 remove 151 ref subst 23 ref "_11900" 19 ref var 5389 def 23 ref 75 ref 75 ref 5389 remove varTerm appTerm 5390 def 5367 ref appTerm appTerm 5358 ref appTerm appTerm 75 ref 5390 remove 5358 ref appTerm appTerm 5372 ref appTerm appTerm absTerm 5391 def 5364 ref appTerm 5392 def appTerm refl 5393 def 5391 ref 171 ref appTerm betaConv appThm 33 ref 5392 remove betaConv appThm 5394 def 23 ref 75 ref 545 ref 5367 ref appTerm appTerm 5358 ref appTerm appTerm 75 ref 545 ref 5358 ref appTerm 5395 def appTerm 5396 def 5372 ref appTerm appTerm refl appThm trans 5391 remove refl 5397 def 5384 remove assume 5398 def appThm eqMp sym 33 ref 544 ref nil 99 ref 5367 ref nil cons cons nil cons nil cons cons 5399 def 549 ref subst appThm 5359 ref appThm nil 99 ref 5358 ref nil cons 5400 def cons nil cons nil cons cons 5401 def 549 ref subst 5402 def trans appThm 544 ref 5402 ref appThm 5403 def 5372 ref refl 5404 def appThm nil 99 ref 5372 ref nil cons cons nil cons nil cons cons 549 ref subst trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 5385 ref cons 5405 def 114 ref 5382 ref cons nil cons 5406 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 5383 remove 91 ref appTerm 5407 def nil cons 5408 def cons 5409 def 5387 remove cons nil cons cons 5410 def 86 ref subst 5410 remove 151 ref subst 5393 remove "_11898" 19 ref var 5411 def 23 ref 75 ref 75 ref 5411 remove varTerm appTerm 5412 def 5367 ref appTerm appTerm 5358 ref appTerm appTerm 75 ref 5412 remove 5358 ref appTerm appTerm 5372 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5394 remove 23 ref 75 ref 558 ref 5367 ref appTerm appTerm 5358 ref appTerm appTerm 75 ref 558 ref 5358 ref appTerm 5413 def appTerm 5414 def 5372 ref appTerm appTerm refl appThm trans 5397 remove 5407 remove assume 5415 def appThm eqMp sym 33 ref 544 ref 5399 remove 562 ref subst appThm 5359 ref appThm appThm 544 ref 5401 ref 562 ref subst 5416 def appThm 5417 def 5404 remove appThm appThm sym nil 67 ref 23 ref 5366 ref appTerm 5418 def 171 ref appTerm 5419 def nil cons 5420 def cons 5421 def 68 ref 23 ref 75 ref 5367 remove appTerm 5358 ref appTerm appTerm 75 ref 5358 ref appTerm 5422 def 5372 remove appTerm appTerm nil cons 5423 def cons nil cons 5424 def cons nil cons cons 5425 def 86 ref subst 5425 remove 151 ref subst 23 ref "_11904" 19 ref var 5426 def 23 ref 75 ref 34 ref 5426 remove varTerm 5427 def appTerm appTerm 5358 ref appTerm appTerm 5422 ref 34 ref 75 ref 5427 remove appTerm 5358 ref appTerm appTerm appTerm appTerm absTerm 5428 def 5366 ref appTerm 5429 def appTerm refl 5430 def 5428 ref 171 ref appTerm betaConv appThm 33 ref 5429 remove betaConv appThm 5431 def 23 ref 75 ref 397 ref appTerm 5432 def 5358 ref appTerm appTerm 5422 ref 34 ref 5395 ref appTerm appTerm appTerm refl appThm trans 5428 remove refl 5433 def 5419 remove assume 5434 def appThm eqMp sym 33 ref 544 ref 400 ref appThm 5435 def 5359 ref appThm 5416 ref trans appThm 5422 ref refl 5436 def 35 ref 5402 ref appThm 400 ref trans appThm 5401 ref 1362 ref subst trans appThm nil 166 ref 5400 remove cons nil cons 5437 def nil cons cons 225 ref subst 5438 def trans sym 105 ref eqMp eqMp eqMp nil 112 ref 5420 ref cons 5439 def 114 ref 5423 ref cons nil cons 5440 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 5418 remove 91 ref appTerm 5441 def nil cons 5442 def cons 5443 def 5424 remove cons nil cons cons 5444 def 86 ref subst 5444 remove 151 ref subst 5430 remove "_11902" 19 ref var 5445 def 23 ref 75 ref 34 ref 5445 remove varTerm 5446 def appTerm appTerm 5358 ref appTerm appTerm 5422 ref 34 ref 75 ref 5446 remove appTerm 5358 ref appTerm appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5431 remove 23 ref 75 ref 415 ref appTerm 5447 def 5358 ref appTerm appTerm 5422 ref 34 ref 5413 ref appTerm appTerm appTerm refl appThm trans 5433 remove 5441 remove assume 5448 def appThm eqMp sym 33 ref 544 ref 417 ref appThm 5449 def 5359 ref appThm 5402 ref trans appThm 5436 ref 35 ref 5416 ref appThm appThm appThm nil 99 ref 5422 ref 34 ref 5358 ref appTerm appTerm 5450 def nil cons cons nil cons nil cons cons 204 ref subst trans sym nil 67 ref 23 ref 5358 ref appTerm 5451 def 171 ref appTerm 5452 def nil cons 5453 def cons 5454 def 68 ref 34 ref 5450 remove appTerm nil cons 5455 def cons nil cons 5456 def cons nil cons cons 5457 def 86 ref subst 5457 remove 151 ref subst 23 ref "_11908" 19 ref var 5458 def 34 ref 75 ref 5458 remove varTerm 5459 def appTerm 34 ref 5459 remove appTerm appTerm appTerm absTerm 5460 def 5358 ref appTerm 5461 def appTerm refl 5462 def 5460 ref 171 ref appTerm betaConv appThm 33 ref 5461 remove betaConv appThm 5463 def 34 ref 545 ref 397 ref appTerm appTerm refl appThm trans 5460 remove refl 5464 def 5452 remove assume 5465 def appThm eqMp sym 35 ref 949 remove 549 ref subst appThm 400 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 5453 ref cons 5466 def 114 ref 5455 ref cons nil cons 5467 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 5451 ref 91 ref appTerm 5468 def nil cons 5469 def cons 5470 def 5456 remove cons nil cons cons 5471 def 86 ref subst 5471 remove 151 ref subst 5462 remove "_11906" 19 ref var 5472 def 34 ref 75 ref 5472 remove varTerm 5473 def appTerm 34 ref 5473 remove appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5463 remove 34 ref 558 ref 415 ref appTerm appTerm refl appThm trans 5464 remove 5468 remove assume 5474 def appThm eqMp sym 35 ref nil 99 ref 415 ref nil cons cons nil cons nil cons cons 562 ref subst 417 ref trans appThm 400 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 5469 remove cons 5475 def 5467 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 5358 ref appTerm 5476 def betaConv 255 ref nil 256 ref 68 ref 5476 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 5437 remove cons nil cons cons 161 ref subst eqMp eqMp 5477 def nil 5475 ref 114 ref 5453 remove cons 5478 def 261 ref 5455 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 112 ref 5442 remove cons 5479 def 5440 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 5366 ref appTerm 5480 def betaConv 255 ref nil 256 ref 68 ref 5480 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 5366 ref nil cons 5481 def cons nil cons cons nil cons cons 161 ref subst eqMp eqMp 5482 def nil 5479 ref 114 ref 5420 remove cons 5483 def 261 ref 5423 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 112 ref 5408 remove cons 5484 def 5406 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 5364 ref appTerm 5485 def betaConv 255 ref nil 256 ref 68 ref 5485 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 5364 ref nil cons 5486 def cons nil cons cons nil cons cons 161 ref subst eqMp eqMp 5487 def nil 5484 ref 114 ref 5385 remove cons 5488 def 261 ref 5382 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 812 ref 1548 ref 288 ref 11 ref 288 ref 494 ref 787 ref 5355 remove appTerm 5354 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 1522 ref 1548 ref 292 ref 11 ref 292 ref 494 ref nil 727 ref 5284 ref 5352 ref appTerm 5353 ref appTerm 5489 def nil cons cons 729 ref 736 ref 4275 remove appTerm 1617 ref appTerm 5490 def nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 5490 ref appTerm appTerm 753 ref 5489 ref appTerm appTerm absTerm 5491 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 5491 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 5491 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 1619 ref 4 ref 4280 remove cons 1529 ref cons cons nil cons cons 1537 ref subst 544 ref 5357 ref 632 ref subst appThm 5359 ref appThm trans appThm 5360 ref 5291 ref subst 5362 remove 5363 ref appThm trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 820 ref 1548 ref 288 ref 11 ref 288 ref 494 ref 54 ref 452 ref 757 ref 759 ref 23 ref 75 ref 5365 ref 5366 ref appTerm appTerm 5358 ref appTerm appTerm 5369 remove 5371 ref appTerm appTerm 5492 def absTerm 5493 def appTerm 5494 def absTerm 5495 def appTerm 5496 def absTerm 5497 def appTerm 5498 def absTerm 5499 def appTerm 5500 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 1548 ref nil 99 ref 5500 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5499 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5498 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5497 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5496 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 5495 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 5494 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 5493 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 5492 remove nil cons 5501 def cons nil cons nil cons cons 106 ref subst nil 5386 ref 68 ref 5501 ref cons nil cons 5502 def cons nil cons cons 5503 def 86 ref subst 5503 remove 151 ref subst 23 ref "_11762" 19 ref var 5504 def 23 ref 75 ref 75 ref 5504 remove varTerm appTerm 5505 def 5366 ref appTerm appTerm 5358 ref appTerm appTerm 75 ref 5505 remove 5358 ref appTerm appTerm 5371 ref appTerm appTerm absTerm 5506 def 5364 ref appTerm 5507 def appTerm refl 5508 def 5506 ref 171 ref appTerm betaConv appThm 33 ref 5507 remove betaConv appThm 5509 def 23 ref 75 ref 545 ref 5366 ref appTerm appTerm 5358 ref appTerm appTerm 5396 remove 5371 ref appTerm appTerm refl appThm trans 5506 remove refl 5510 def 5398 ref appThm eqMp sym 33 ref 544 ref nil 99 ref 5481 remove cons nil cons nil cons cons 5511 def 549 ref subst appThm 5359 ref appThm 5402 ref trans appThm 5403 remove 5371 ref refl 5512 def appThm nil 99 ref 5371 ref nil cons 5513 def cons nil cons nil cons cons 5514 def 549 ref subst trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 5405 ref 114 ref 5501 ref cons nil cons 5515 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 5409 ref 5502 remove cons nil cons cons 5516 def 86 ref subst 5516 remove 151 ref subst 5508 remove "_11760" 19 ref var 5517 def 23 ref 75 ref 75 ref 5517 remove varTerm appTerm 5518 def 5366 ref appTerm appTerm 5358 ref appTerm appTerm 75 ref 5518 remove 5358 ref appTerm appTerm 5371 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5509 remove 23 ref 75 ref 558 ref 5366 ref appTerm appTerm 5358 ref appTerm appTerm 5414 remove 5371 ref appTerm appTerm refl appThm trans 5510 remove 5415 ref appThm eqMp sym 33 ref 544 ref 5511 ref 562 ref subst appThm 5359 ref appThm appThm 5417 remove 5512 ref appThm appThm sym nil 5421 remove 68 ref 23 ref 5371 ref appTerm 5422 ref 5371 ref appTerm appTerm nil cons 5519 def cons nil cons 5520 def cons nil cons cons 5521 def 86 ref subst 5521 remove 151 ref subst 23 ref "_11766" 19 ref var 5522 def 23 ref 75 ref 5522 remove varTerm appTerm 5358 ref appTerm 5523 def appTerm 5422 ref 5523 remove appTerm appTerm absTerm 5524 def 5366 ref appTerm 5525 def appTerm refl 5526 def 5524 ref 171 ref appTerm betaConv appThm 33 ref 5525 remove betaConv appThm 5527 def 23 ref 5395 ref appTerm 5422 ref 5395 ref appTerm appTerm refl appThm trans 5524 remove refl 5528 def 5434 remove appThm eqMp sym 33 ref 5402 ref appThm 5436 ref 5402 ref appThm 5401 ref 1106 ref subst trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 5439 remove 114 ref 5519 ref cons nil cons 5529 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 5443 remove 5520 remove cons nil cons cons 5530 def 86 ref subst 5530 remove 151 ref subst 5526 remove "_11764" 19 ref var 5531 def 23 ref 75 ref 5531 remove varTerm appTerm 5358 ref appTerm 5532 def appTerm 5422 ref 5532 remove appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5527 remove 23 ref 5413 ref appTerm 5422 remove 5413 ref appTerm appTerm refl appThm trans 5528 remove 5448 remove appThm eqMp sym 33 ref 5416 ref appThm 5436 remove 5416 ref appThm 5401 remove 1497 remove subst trans appThm 5438 remove trans sym 105 ref eqMp eqMp eqMp nil 5479 ref 5529 remove cons nil cons cons 127 ref subst deductAntisym eqMp 5482 remove nil 5479 remove 5483 remove 261 ref 5519 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 5484 ref 5515 remove cons nil cons cons 127 ref subst deductAntisym eqMp 5487 ref nil 5484 ref 5488 ref 261 ref 5501 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 812 ref 1548 ref 288 ref 11 ref 288 ref 494 ref 787 ref 5490 remove appTerm 5489 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 1522 ref 1548 ref 292 ref 11 ref 292 ref 494 ref nil 727 ref 5318 ref 5352 ref appTerm 5353 remove appTerm 5533 def nil cons cons 729 ref 736 ref 3998 ref appTerm 1617 ref appTerm 5534 def nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 5534 ref appTerm appTerm 753 ref 5533 ref appTerm appTerm absTerm 5535 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 5535 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 5535 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 1619 ref 4 ref 4012 ref cons 1529 ref cons cons nil cons cons 1537 ref subst 544 ref 5357 remove 1258 ref subst appThm 5359 ref appThm trans appThm 5360 remove 5325 ref subst 1259 ref 5361 remove appThm 5363 remove appThm trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 820 ref 1548 ref 288 ref 11 ref 288 ref 494 ref 54 ref 452 ref 757 ref 759 ref 23 ref 75 ref 251 ref 5364 ref appTerm 5366 ref appTerm appTerm 5358 ref appTerm appTerm 251 ref 5368 remove appTerm 5371 ref appTerm appTerm 5536 def absTerm 5537 def appTerm 5538 def absTerm 5539 def appTerm 5540 def absTerm 5541 def appTerm 5542 def absTerm 5543 def appTerm 5544 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 1548 ref nil 99 ref 5544 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5543 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5542 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5541 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5540 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 5539 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 5538 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 5537 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 5536 remove nil cons 5545 def cons nil cons nil cons cons 106 ref subst nil 5386 remove 68 ref 5545 ref cons nil cons 5546 def cons nil cons cons 5547 def 86 ref subst 5547 remove 151 ref subst 23 ref "_11888" 19 ref var 5548 def 23 ref 75 ref 251 ref 5548 remove varTerm 5549 def appTerm 5366 ref appTerm appTerm 5358 ref appTerm appTerm 251 ref 75 ref 5549 remove appTerm 5358 ref appTerm appTerm 5371 ref appTerm appTerm absTerm 5550 def 5364 ref appTerm 5551 def appTerm refl 5552 def 5550 ref 171 ref appTerm betaConv appThm 33 ref 5551 remove betaConv appThm 5553 def 23 ref 75 ref 1304 ref 5366 ref appTerm appTerm 5358 ref appTerm appTerm 251 ref 5395 remove appTerm 5371 ref appTerm appTerm refl appThm trans 5550 remove refl 5554 def 5398 remove appThm eqMp sym 33 ref 544 ref 5511 ref 1308 ref subst appThm 5359 ref appThm appThm 1259 ref 5402 remove appThm 5512 ref appThm 5514 remove 1308 ref subst trans appThm nil 166 ref 5513 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 5405 remove 114 ref 5545 ref cons nil cons 5555 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 5409 remove 5546 remove cons nil cons cons 5556 def 86 ref subst 5556 remove 151 ref subst 5552 remove "_11886" 19 ref var 5557 def 23 ref 75 ref 251 ref 5557 remove varTerm 5558 def appTerm 5366 ref appTerm appTerm 5358 ref appTerm appTerm 251 ref 75 ref 5558 remove appTerm 5358 ref appTerm appTerm 5371 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5553 remove 23 ref 75 ref 1347 ref 5366 remove appTerm appTerm 5358 ref appTerm appTerm 251 ref 5413 remove appTerm 5371 ref appTerm appTerm refl appThm trans 5554 remove 5415 remove appThm eqMp sym 33 ref 544 ref 5511 ref 1351 ref subst appThm 5359 remove appThm 5416 ref trans appThm 1259 ref 5416 remove appThm 5512 remove appThm appThm sym nil 5454 remove 68 ref 5451 remove 251 ref 5358 ref appTerm 5371 remove appTerm appTerm nil cons 5559 def cons nil cons 5560 def cons nil cons cons 5561 def 86 ref subst 5561 remove 151 ref subst 23 ref "_11892" 19 ref var 5562 def 23 ref 5562 remove varTerm 5563 def appTerm 251 ref 5563 ref appTerm 5370 ref 5563 remove appTerm appTerm appTerm absTerm 5564 def 5358 ref appTerm 5565 def appTerm refl 5566 def 5564 ref 171 ref appTerm betaConv appThm 33 ref 5565 remove betaConv appThm 5567 def 188 ref 1304 remove 5370 ref 171 ref appTerm 5568 def appTerm 5569 def appTerm refl appThm trans 5564 remove refl 5570 def 5465 remove appThm eqMp sym nil 99 ref 5569 remove nil cons cons nil cons nil cons cons 204 ref subst 35 ref nil 99 ref 5568 remove nil cons cons nil cons nil cons cons 1308 ref subst 5511 remove 1106 ref subst trans appThm 400 ref trans trans sym 105 ref eqMp eqMp eqMp nil 5466 remove 114 ref 5559 ref cons nil cons 5571 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 5470 remove 5560 remove cons nil cons cons 5572 def 86 ref subst 5572 remove 151 ref subst 5566 remove "_11890" 19 ref var 5573 def 23 ref 5573 remove varTerm 5574 def appTerm 251 ref 5574 ref appTerm 5370 ref 5574 remove appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5567 remove 235 ref 1347 remove 5370 remove 91 ref appTerm 5575 def appTerm 5576 def appTerm refl appThm trans 5570 remove 5474 remove appThm eqMp sym nil 99 ref 5576 remove nil cons cons nil cons nil cons cons 242 ref subst nil 99 ref 5575 remove nil cons cons nil cons nil cons cons 1351 ref subst trans sym 105 ref eqMp eqMp eqMp nil 5475 ref 5571 remove cons nil cons cons 127 ref subst deductAntisym eqMp 5477 remove nil 5475 remove 5478 remove 261 ref 5559 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 5484 ref 5555 remove cons nil cons cons 127 ref subst deductAntisym eqMp 5487 remove nil 5484 remove 5488 remove 261 ref 5545 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 812 ref 1548 ref 288 ref 11 ref 288 ref 494 ref 787 ref 5534 remove appTerm 5533 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 1429 ref 1403 ref 292 ref 4 ref 292 ref 11 ref nil 783 ref 5320 remove 1408 ref appTerm 4446 ref appTerm 5577 def nil cons cons 1548 ref 1407 ref 1230 ref appTerm 5578 def nil cons cons nil cons cons nil cons cons 1551 ref subst 758 ref 872 ref 33 ref nil 1265 remove 2408 ref cons nil cons cons 1469 ref subst 40 ref 41 ref 2906 ref 1258 ref appThm nil 267 ref 167 ref cons 1705 remove 67 ref 2412 ref nil cons 5579 def cons nil cons cons cons nil cons cons 5136 remove subst trans absThm appThm trans appThm 4449 ref 5324 remove subst 1259 ref 2409 ref appThm 4450 ref appThm 33 ref 1259 ref 2420 remove appThm 40 ref 41 ref 4453 ref 45 ref appTerm 5580 def betaConv 5581 def absThm appThm 5582 def appThm appThm 40 ref 41 ref 1259 ref 2419 remove appThm 5581 ref appThm absThm appThm appThm nil 2422 remove 1568 ref 4484 ref cons nil cons cons nil cons cons 1568 ref 23 ref 251 ref 60 ref appTerm 39 ref 1572 remove appTerm 5583 def appTerm 5584 def appTerm 39 ref 41 ref 1588 remove 1571 ref appTerm absTerm appTerm 5585 def appTerm 5586 def absTerm 5587 def 1570 ref appTerm 5588 def betaConv 56 ref 65 ref 5587 ref appTerm 5589 def absTerm 5590 def 57 ref appTerm 5591 def betaConv 442 ref 56 ref 442 ref 1568 ref 5586 remove assume sym 23 ref 5585 remove appTerm 5584 remove appTerm 5592 def assume sym deductAntisym absThm appThm absThm appThm nil 65 ref 56 ref 65 ref 1568 ref 5592 remove absTerm 5593 def appTerm 5594 def absTerm 5595 def appTerm 5596 def axiom 5597 def eqMp nil 67 ref 65 ref 5590 ref appTerm nil cons cons 68 ref 5591 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 5590 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5589 remove nil cons cons 68 ref 5588 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 5587 remove nil cons cons 1581 ref cons nil cons cons 161 ref subst eqMp eqMp 5598 def subst eqMp trans trans appThm nil 166 ref 39 ref 41 ref 251 ref 2414 remove appTerm 4452 ref appTerm absTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 947 ref trans trans absThm appThm 526 ref trans absThm appThm 526 ref trans absThm appThm 1466 ref trans sym 105 ref eqMp nil 1422 ref 1403 ref 288 ref 4 ref 288 ref 11 ref 1433 ref 5578 remove appTerm 5577 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 1453 ref 1403 ref 288 ref 4 ref 288 ref 11 ref 3050 ref 1407 ref 610 ref appTerm 5599 def appTerm 5286 ref 1408 ref appTerm 5600 def 4446 ref appTerm 5601 def appTerm 5602 def absTerm 5603 def appTerm 5604 def absTerm 5605 def appTerm 5606 def absTerm 5607 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 5606 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5605 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5604 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 5603 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 5602 remove nil cons cons nil cons nil cons cons 106 ref subst nil 783 ref 5601 ref nil cons cons 1548 ref 5599 ref nil cons cons nil cons cons nil cons cons 5608 def 3059 ref subst 758 ref 872 ref 329 ref nil 649 ref 2408 ref cons nil cons cons 1469 ref subst 40 ref 41 ref 2906 ref 632 ref appThm absThm appThm trans 5609 def appThm 4449 ref 5290 ref subst 544 ref 2409 ref appThm 5610 def 4450 ref appThm trans 5611 def appThm absThm appThm trans sym nil 871 ref 795 ref 69 ref 39 ref 41 ref 1414 ref 622 ref appTerm 5612 def absTerm 5613 def appTerm 5614 def appTerm 75 ref 1417 ref appTerm 5615 def 39 ref 41 ref 1414 ref 47 ref appTerm 5616 def absTerm 5617 def appTerm 5618 def appTerm 5619 def appTerm 5620 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 5620 remove nil cons 5621 def cons nil cons nil cons cons 106 ref subst nil 144 ref 41 ref 69 ref 5613 ref 45 ref appTerm 5622 def appTerm 5619 ref appTerm 5623 def absTerm 5624 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 5623 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5622 ref nil cons 5625 def cons 68 ref 5619 ref nil cons 5626 def cons nil cons 5627 def cons nil cons cons 5628 def 86 ref subst 5628 remove 151 ref subst 5622 ref betaConv 5622 remove assume eqMp nil 67 ref 5612 remove nil cons 5629 def cons 5627 ref cons nil cons cons 5630 def 136 ref subst proveHyp 5630 ref 86 ref subst 5630 remove 151 ref subst nil 3179 ref 2294 remove cons nil cons cons 5631 def 127 ref subst 5631 remove 347 ref subst 1917 ref 1918 ref 23 ref "_10649" 721 ref var 5632 def 75 ref 39 ref 41 ref 75 ref 853 ref 5632 remove varTerm appTerm 1412 ref appTerm appTerm 5633 def 49 ref appTerm absTerm appTerm appTerm 39 ref 41 ref 5633 remove 47 ref appTerm absTerm appTerm appTerm absTerm 5634 def 799 ref appTerm 5635 def appTerm refl 5634 ref 1412 ref appTerm betaConv appThm 33 ref 5635 remove betaConv appThm 75 ref 3520 ref appTerm 5636 def 3187 ref appTerm refl appThm trans 5634 remove refl 3185 ref appThm eqMp sym 3529 ref nil 67 ref 3526 ref cons 5637 def 3190 remove cons nil cons cons 151 ref subst proveHyp 3192 remove 2454 ref 1793 ref appThm 941 ref trans sym 105 ref eqMp eqMp 3195 remove proveHyp 5638 def eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 5629 remove cons 114 ref 5626 ref cons nil cons 5639 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 5625 remove cons 5639 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 5624 remove appTerm nil cons cons 68 ref 5621 ref cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 5613 ref nil cons cons 5640 def 5639 remove cons nil cons cons 929 ref subst eqMp 5641 def eqMp absThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 1422 ref 5607 remove appTerm thm nil 1453 ref 1403 ref 23 ref 757 ref 795 ref 39 ref 41 ref 2859 ref absTerm 5642 def appTerm 5643 def absTerm 5644 def appTerm 5645 def appTerm 5646 def 36 ref 18 ref 18 ref 18 ref 721 ref 2 ref cons opType 5647 def 20 ref cons opType 5648 def 20 ref cons opType 5649 def constTerm 5650 def "g" 5647 ref var 5651 def 757 ref 795 ref 853 ref 1406 ref 5651 ref varTerm 5652 def 799 ref appTerm 5653 def appTerm 5654 def appTerm 799 ref appTerm 5655 def absTerm appTerm 5656 def absTerm appTerm appTerm 5657 def absTerm 5658 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 5657 ref nil cons 5659 def cons nil cons nil cons cons 5660 def 106 ref subst 783 ref 23 ref 757 ref 795 ref 3866 ref 39 ref 41 ref 828 ref 2859 ref appTerm absTerm appTerm 5661 def appTerm absTerm appTerm 5662 def appTerm 5650 ref 5651 ref 757 ref 795 ref 3866 ref 75 ref 44 ref 5653 ref appTerm 5663 def 6 ref appTerm 5664 def appTerm 5655 ref appTerm 5665 def appTerm absTerm appTerm absTerm appTerm appTerm absTerm 5666 def 738 ref appTerm 5667 def betaConv 4 ref 812 ref 783 ref 23 ref 757 ref 795 ref 3866 ref 39 ref 41 ref 621 ref 2859 ref appTerm 5668 def absTerm 5669 def appTerm appTerm absTerm appTerm 5670 def appTerm 5650 ref 5651 ref 757 ref 795 ref 3866 ref 75 ref 5663 remove 28 ref appTerm 5671 def appTerm 5655 ref appTerm 5672 def appTerm 5673 def absTerm 5674 def appTerm 5675 def absTerm 5676 def appTerm 5677 def appTerm 5678 def absTerm appTerm absTerm 5679 def 6 ref appTerm 5680 def betaConv 1403 ref 288 ref 5679 ref appTerm 5681 def absTerm 5682 def 1406 ref appTerm 5683 def betaConv 1429 ref 1403 ref 292 ref 4 ref 1522 ref 783 ref 33 ref 758 ref 795 ref 33 ref 3866 ref refl 5684 def 40 ref 41 ref 5669 ref 45 ref appTerm betaConv 5685 def absThm appThm appThm appThm 40 ref 41 ref 5684 remove 5685 remove appThm absThm appThm appThm nil 1568 ref 5669 remove nil cons cons 3867 ref nil cons cons nil cons cons 1568 ref 23 ref 71 ref 5583 ref appTerm appTerm 39 ref 3889 remove appTerm appTerm absTerm 5686 def 1570 ref appTerm 5687 def betaConv 67 ref 65 ref 5686 ref appTerm 5688 def absTerm 5689 def 70 ref appTerm 5690 def betaConv nil 198 ref 5689 ref appTerm 5691 def axiom nil 67 ref 5691 remove nil cons cons 68 ref 5690 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 5689 remove nil cons cons 1580 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5688 remove nil cons cons 68 ref 5687 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 5686 remove nil cons cons 1581 ref cons nil cons cons 161 ref subst eqMp eqMp 5692 def subst eqMp absThm appThm 33 ref 758 ref 795 ref 40 ref 41 ref 795 ref 41 ref 3866 ref 5668 ref appTerm absTerm 5693 def absTerm 5694 def 799 ref appTerm betaConv 5695 def 160 ref appThm 5693 ref 45 ref appTerm betaConv trans absThm appThm absThm appThm appThm 5650 ref refl 5696 def "f" 5647 ref var 5697 def 758 ref 795 ref 5695 remove 5697 ref varTerm 799 ref appTerm 5698 def refl appThm 5693 remove 5698 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 18 ref 721 ref 137 ref cons opType var 5699 def 5694 remove nil cons cons nil cons nil cons cons 1399 ref 870 ref cons 218 ref cons "r" 836 remove var 5700 def 23 ref 54 ref 41 ref 794 ref 795 ref 5700 ref varTerm 5701 def 45 ref appTerm 5702 def 799 ref appTerm absTerm appTerm absTerm appTerm 5703 def appTerm 36 ref 1421 remove constTerm 5704 def 1403 ref 54 ref 41 ref 5702 remove 1412 ref appTerm absTerm appTerm absTerm appTerm 5705 def appTerm 5706 def absTerm 5707 def 5701 ref appTerm 5708 def betaConv nil 2953 ref 5707 ref appTerm 5709 def axiom 5710 def nil 67 ref 5709 remove nil cons cons 68 ref 5708 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2955 ref 2956 ref 5707 remove nil cons cons 2957 remove 5701 ref nil cons cons nil cons 5711 def cons nil cons cons 161 ref subst eqMp eqMp 5712 def subst subst eqMp trans 5713 def appThm 5677 ref refl appThm nil 166 ref 5650 ref 5697 ref 757 ref 795 ref 3866 ref 75 ref 44 ref 5698 ref appTerm 28 ref appTerm appTerm 853 ref 1406 ref 5698 remove appTerm appTerm 799 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 1600 ref trans absThm appThm 526 ref trans absThm appThm 1466 ref trans sym 105 ref eqMp 5714 def nil 67 ref 1422 ref 5682 ref appTerm 5715 def nil cons cons 68 ref 5683 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 5682 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5681 remove nil cons cons 68 ref 5680 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5679 remove nil cons cons 567 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 812 ref 5666 ref appTerm nil cons cons 68 ref 5667 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 5666 remove nil cons cons 821 ref 784 remove cons nil cons 5716 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 757 ref 795 ref 69 ref 829 ref appTerm 5717 def 5661 ref appTerm absTerm appTerm 5718 def appTerm 5650 ref 5651 ref 757 ref 795 ref 5717 ref 5665 remove appTerm absTerm appTerm absTerm appTerm appTerm nil cons cons 68 ref 5659 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 758 ref 795 ref 329 ref 3873 ref 944 ref subst 5719 def appThm 5720 def 40 ref 41 ref 1487 ref 2859 ref refl appThm nil 99 ref 2859 ref nil cons 5721 def cons nil cons nil cons cons 562 ref subst trans absThm appThm appThm nil 99 ref 5643 ref nil cons 5722 def cons nil cons nil cons cons 2033 ref subst trans absThm appThm 5723 def appThm 5696 ref 5651 ref 758 ref 795 ref 5720 ref 544 ref nil 41 ref 5653 ref nil cons 5724 def cons nil cons 5725 def nil cons cons 5726 def 475 ref subst 5727 def appThm 5655 ref refl 5728 def appThm nil 99 ref 5655 ref nil cons 5729 def cons nil cons nil cons cons 5730 def 562 ref subst trans appThm 5730 remove 2033 ref subst 5731 def trans absThm appThm absThm appThm appThm appThm 5657 remove refl appThm 5660 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp absThm eqMp nil 1422 ref 5658 remove appTerm thm nil 1453 ref 1403 ref 23 ref 812 ref 783 ref 534 ref 4 ref 1434 ref 789 ref appTerm 5732 def absTerm appTerm 5733 def absTerm appTerm appTerm 5645 ref appTerm 5734 def absTerm 5735 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 5734 ref nil cons 5736 def cons nil cons nil cons cons 5737 def 106 ref subst 4760 ref 23 ref 812 ref 783 ref 69 ref 3050 ref 789 ref appTerm 5738 def 4761 ref appTerm appTerm 5739 def 534 ref 4 ref 75 ref 712 remove appTerm 5740 def 5732 ref appTerm absTerm appTerm 5741 def appTerm absTerm appTerm appTerm 757 ref 795 ref 69 ref 806 ref 4761 ref appTerm 5742 def appTerm 5743 def 5661 remove appTerm absTerm appTerm appTerm absTerm 5744 def 738 ref appTerm 5745 def betaConv 494 ref 812 ref 4760 ref 23 ref 812 ref 783 ref 5739 remove 534 ref 4 ref 4304 ref 5732 ref appTerm absTerm appTerm appTerm absTerm appTerm appTerm 757 ref 795 ref 5743 remove 39 ref 41 ref 75 ref 501 ref appTerm 5746 def 2859 ref appTerm absTerm 5747 def appTerm 5748 def appTerm 5749 def absTerm 5750 def appTerm 5751 def appTerm 5752 def absTerm 5753 def appTerm 5754 def absTerm 5755 def 6 ref appTerm 5756 def betaConv nil 317 ref 5755 ref nil cons cons 5757 def nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 5754 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 5753 remove nil cons cons nil cons nil cons cons 3128 ref subst 4760 ref nil 99 ref 5752 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 1522 ref 783 ref 329 ref nil 783 ref 4761 ref nil cons cons 1550 ref cons nil cons cons 3059 ref subst appThm 543 ref 4 ref 4971 ref nil 2406 ref nil cons cons 5758 def 1551 ref subst 758 ref 872 ref 2410 ref 2919 ref appThm absThm appThm trans 5759 def appThm absThm appThm appThm absThm appThm appThm 5751 ref refl appThm sym nil 67 ref 812 ref 783 ref 69 ref 757 ref 872 ref 69 ref 1553 ref appTerm 5760 def 1552 ref 4761 ref appTerm 5761 def appTerm 5762 def absTerm 5763 def appTerm 5764 def appTerm 534 ref 4 ref 4977 ref 757 ref 872 ref 23 ref 2416 ref appTerm 5765 def 1553 ref appTerm 5766 def absTerm 5767 def appTerm 5768 def appTerm absTerm 5769 def appTerm 5770 def appTerm 5771 def absTerm 5772 def appTerm 5773 def nil cons 5774 def cons 5775 def 68 ref 5751 ref nil cons 5776 def cons nil cons cons nil cons cons 5777 def 348 ref subst 5777 ref 86 ref subst 5777 remove 151 ref subst nil 871 ref 5750 ref nil cons cons 5778 def nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 5749 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5742 ref nil cons 5779 def cons 68 ref 5748 ref nil cons 5780 def cons nil cons 5781 def cons nil cons cons 5782 def 86 ref subst 5782 remove 151 ref subst 5772 ref 4618 ref appTerm 5783 def betaConv nil 5775 remove 68 ref 5783 remove nil cons cons nil cons cons nil cons cons 136 ref subst 819 ref 820 ref 5772 remove nil cons cons 5784 def 821 ref 4621 ref cons nil cons 5785 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 757 ref 872 ref 69 ref 1552 ref 4618 ref appTerm 5786 def appTerm 5761 ref appTerm absTerm appTerm appTerm 534 ref 4 ref 4977 ref 757 ref 872 ref 5765 ref 5786 remove appTerm absTerm appTerm appTerm absTerm appTerm appTerm nil cons cons 5781 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 758 ref 872 ref 329 ref 4163 ref appThm 5787 def 5761 ref refl 5788 def appThm absThm appThm appThm 543 ref 4 ref 4977 ref refl 758 ref 872 ref 5765 ref refl 4163 ref appThm absThm appThm appThm absThm appThm appThm appThm 5748 ref refl 5789 def appThm sym nil 871 ref 872 ref 69 ref 2778 ref appTerm 5790 def 5761 ref appTerm 5791 def absTerm 5792 def nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 5791 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3124 ref cons 68 ref 5761 ref nil cons 5793 def cons nil cons cons nil cons cons 5794 def 86 ref subst 5794 remove 151 ref subst 23 ref "_12608" 721 ref var 5795 def 805 ref 5795 remove varTerm appTerm 4761 remove appTerm absTerm 5796 def 910 ref appTerm 5797 def appTerm refl 5796 ref 799 ref appTerm betaConv appThm 33 ref 5797 remove betaConv appThm 5742 ref refl appThm trans 5796 remove refl 3147 remove appThm eqMp sym 5742 remove assume eqMp eqMp nil 3125 ref 114 ref 5793 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 5792 remove appTerm 5798 def nil cons 5799 def cons 68 ref 69 ref 534 ref 4 ref 4977 ref 757 ref 872 ref 5765 ref 2778 ref appTerm absTerm 5800 def appTerm 5801 def appTerm 5802 def absTerm 5803 def appTerm 5804 def appTerm 5748 ref appTerm 5805 def nil cons cons nil cons 5806 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 4 ref 69 ref 5803 ref 28 ref appTerm 5807 def appTerm 5748 ref appTerm 5808 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5808 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5807 ref nil cons 5809 def cons 5781 ref cons nil cons cons 5810 def 86 ref subst 5810 remove 151 ref subst 5807 ref betaConv 5807 remove assume eqMp nil 67 ref 5802 remove nil cons 5811 def cons 5781 ref cons nil cons cons 5812 def 136 ref subst proveHyp 5812 ref 86 ref subst 5812 remove 151 ref subst nil 4991 ref 114 ref 5801 remove nil cons 5813 def cons nil cons cons nil cons cons 5814 def 127 ref subst 5814 remove 347 ref subst 5800 ref 799 ref appTerm 5815 def betaConv nil 67 ref 5813 remove cons 68 ref 5815 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 5800 remove nil cons cons 1462 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 1417 ref appTerm 5816 def 1411 ref 799 ref appTerm appTerm nil cons cons 5781 ref cons nil cons cons 136 ref subst proveHyp 329 ref 5816 remove refl 3874 ref appThm nil 99 ref 1417 ref nil cons 5817 def cons nil cons nil cons cons 5818 def 247 ref subst trans appThm 5789 remove appThm sym nil 144 ref 41 ref 69 ref 1416 ref 45 ref appTerm 5819 def appTerm 5820 def 5748 ref appTerm 5821 def absTerm 5822 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 5821 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5819 ref nil cons 5823 def cons 5824 def 5781 ref cons nil cons cons 5825 def 86 ref subst 5825 remove 151 ref subst 5819 ref betaConv 5826 def 5819 remove assume eqMp 5827 def nil 67 ref 1415 ref nil cons 5828 def cons 5829 def 5781 remove cons nil cons cons 5830 def 136 ref subst proveHyp 5830 ref 86 ref subst 5830 remove 151 ref subst nil 3179 ref 1878 ref cons nil cons cons 5831 def 127 ref subst 5832 def 5831 remove 347 ref subst 5833 def 5747 ref 45 ref appTerm betaConv sym 5746 ref refl 5834 def 2438 ref refl 5835 def 3185 ref appThm 2453 ref trans appThm 4077 remove 1362 ref subst 5836 def trans sym 5097 ref eqMp eqMp 309 ref 144 ref 5747 remove nil cons cons 311 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 5828 ref cons 5837 def 114 ref 5780 ref cons nil cons 5838 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 5823 remove cons 5839 def 5838 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 5822 remove appTerm nil cons cons 68 ref 69 ref 1417 ref appTerm 5840 def 5748 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 1416 remove nil cons 5841 def cons 5842 def 5838 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 5811 remove cons 5838 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 5809 remove cons 5838 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 5803 ref 1822 ref appTerm appTerm 5748 ref appTerm absTerm appTerm nil cons cons 5806 remove cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5803 remove nil cons cons 5838 ref cons nil cons cons 929 ref subst eqMp eqMp nil 67 ref 75 ref 5798 ref appTerm 5805 remove appTerm nil cons cons 68 ref 69 ref 69 ref 5798 remove appTerm 5804 ref appTerm appTerm 5748 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil "Z" 19 ref var 5843 def 5780 remove cons "Y" 19 ref var 5844 def 5804 remove nil cons cons "X" 19 ref var 5845 def 5799 remove cons nil cons cons cons nil cons cons nil 67 ref 23 ref 5845 remove varTerm 5846 def appTerm 5847 def 171 ref appTerm 5848 def nil cons 5849 def cons 68 ref 69 ref 75 ref 5846 ref appTerm 69 ref 5844 remove varTerm 5850 def appTerm 5843 remove varTerm 5851 def appTerm 5852 def appTerm appTerm 69 ref 69 ref 5846 ref appTerm 5850 ref appTerm appTerm 5851 ref appTerm appTerm nil cons 5853 def cons nil cons 5854 def cons nil cons cons 5855 def 86 ref subst 5855 remove 151 ref subst 23 ref "_12606" 19 ref var 5856 def 69 ref 75 ref 5856 remove varTerm 5857 def appTerm 5852 ref appTerm appTerm 69 ref 69 ref 5857 remove appTerm 5850 ref appTerm appTerm 5851 ref appTerm appTerm absTerm 5858 def 5846 ref appTerm 5859 def appTerm refl 5860 def 5858 ref 171 ref appTerm betaConv appThm 33 ref 5859 remove betaConv appThm 5861 def 69 ref 545 ref 5852 ref appTerm appTerm 69 ref 520 ref 5850 ref appTerm appTerm 5851 ref appTerm appTerm refl appThm trans 5858 remove refl 5862 def 5848 remove assume appThm eqMp sym 329 ref nil 99 ref 5852 ref nil cons cons nil cons nil cons cons 5863 def 549 ref subst appThm 329 ref nil 99 ref 5850 ref nil cons cons nil cons nil cons cons 5864 def 524 ref subst appThm 5851 ref refl 5865 def appThm nil 99 ref 5851 ref nil cons cons nil cons nil cons cons 5866 def 2033 ref subst trans appThm 5866 remove 524 ref subst trans sym 105 ref eqMp eqMp eqMp nil 112 ref 5849 ref cons 114 ref 5853 ref cons nil cons 5867 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 5847 remove 91 ref appTerm 5868 def nil cons 5869 def cons 5854 remove cons nil cons cons 5870 def 86 ref subst 5870 remove 151 ref subst 5860 remove "_12604" 19 ref var 5871 def 69 ref 75 ref 5871 remove varTerm 5872 def appTerm 5852 ref appTerm appTerm 69 ref 69 ref 5872 remove appTerm 5850 ref appTerm appTerm 5851 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 5861 remove 69 ref 558 ref 5852 remove appTerm appTerm 69 ref 2029 ref 5850 remove appTerm appTerm 5851 remove appTerm appTerm refl appThm trans 5862 remove 5868 remove assume appThm eqMp sym 329 ref 5863 ref 562 ref subst appThm 329 ref 5864 remove 2033 ref subst appThm 5865 remove appThm appThm 5863 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp nil 112 ref 5869 remove cons 5873 def 5867 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 5846 ref appTerm 5874 def betaConv 255 ref nil 256 ref 68 ref 5874 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 5846 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 5873 remove 114 ref 5849 remove cons 261 ref 5853 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp eqMp eqMp nil 112 ref 5779 remove cons 5838 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 5774 ref cons 114 ref 5776 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 5773 ref appTerm 5751 ref appTerm nil cons cons 68 ref 69 ref 5751 remove appTerm 5773 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 5776 ref cons 5875 def 68 ref 5774 ref cons nil cons cons nil cons cons 5876 def 86 ref subst 5876 remove 151 ref subst nil 5784 remove nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 5771 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5764 remove nil cons 5877 def cons 5878 def 68 ref 5770 remove nil cons 5879 def cons nil cons cons nil cons cons 5880 def 86 ref subst 5880 remove 151 ref subst 5769 ref 425 ref 426 ref 39 ref 41 ref 428 ref 5746 ref 3531 ref 789 ref appTerm 5881 def appTerm 5882 def appTerm absTerm appTerm absTerm appTerm 5883 def appTerm betaConv sym 544 ref 55 ref 41 ref 329 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 5882 ref absTerm 5884 def 45 ref appTerm betaConv 5885 def appThm absThm appThm absThm appThm appThm appThm 5885 remove appThm nil 56 ref 5884 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 5886 def appThm 4057 ref appThm absThm appThm appThm 758 ref 872 ref 33 ref 40 ref 41 ref 2906 ref 5886 remove appThm absThm appThm appThm 2919 ref appThm absThm appThm appThm sym nil 144 ref 41 ref 69 ref 5882 ref appTerm 501 ref appTerm 5887 def absTerm 5888 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 5887 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5882 ref nil cons 5889 def cons 4070 ref cons nil cons cons 5890 def 86 ref subst 5890 remove 151 ref subst nil 5063 ref 114 ref 5881 ref nil cons 5891 def cons nil cons cons nil cons cons 127 ref subst eqMp nil 112 ref 5889 remove cons 4078 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 5888 remove appTerm nil cons cons 68 ref 757 ref 872 ref 23 ref 39 ref 41 ref 2413 ref 5882 remove appTerm absTerm 5892 def appTerm 5893 def appTerm 1553 ref appTerm 5894 def absTerm 5895 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 871 ref 5895 remove nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 5894 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5893 ref nil cons 5896 def cons 2931 ref cons nil cons cons 348 ref subst nil 144 ref "z" 1 ref var 5897 def 69 ref 5892 ref 5897 ref varTerm 5898 def appTerm 5899 def appTerm 1553 ref appTerm 5900 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 5897 ref nil 99 ref 5900 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5899 ref nil cons 5901 def cons 2931 ref cons nil cons cons 5902 def 86 ref subst 5902 remove 151 ref subst 5899 ref betaConv 5903 def 5899 remove assume eqMp nil 67 ref 75 ref 2411 ref 1406 ref 5898 ref appTerm 5904 def appTerm 5905 def appTerm 75 ref 44 ref 5898 ref appTerm 5906 def 498 ref appTerm 5907 def appTerm 5908 def 805 ref 5904 ref appTerm 789 ref appTerm 5909 def appTerm 5910 def appTerm nil cons 5911 def cons 2931 ref cons nil cons cons 5912 def 136 ref subst proveHyp 5912 ref 86 ref subst 5912 remove 151 ref subst nil 112 ref 5905 ref nil cons cons 114 ref 5910 remove nil cons cons nil cons cons nil cons cons 5913 def 127 ref subst 5913 remove 347 ref subst nil 112 ref 5907 ref nil cons 5914 def cons 5915 def 114 ref 5909 ref nil cons 5916 def cons nil cons cons nil cons cons 347 ref subst 3146 ref 5905 remove assume appThm 3814 ref appThm nil 99 ref 5916 remove cons nil cons nil cons cons 106 ref subst 5909 remove assume eqMp trans sym 105 ref eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 5911 remove cons 3154 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 5901 remove cons 3154 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 5892 ref 45 ref appTerm appTerm 1553 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 5893 ref appTerm 1553 ref appTerm nil cons 5917 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 5892 remove nil cons cons 5918 def 3154 ref cons nil cons cons 929 ref subst eqMp nil 67 ref 5917 remove cons 68 ref 5760 ref 5893 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 1555 ref cons 5919 def 68 ref 5896 ref cons nil cons 5920 def cons nil cons cons 5921 def 86 ref subst 5921 remove 151 ref subst 5763 ref 910 ref appTerm 5922 def betaConv nil 5878 remove 68 ref 5922 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 5763 remove nil cons cons 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5762 remove nil cons cons 5920 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 4809 ref appThm 5923 def 5788 remove appThm nil 99 ref 5793 ref cons nil cons nil cons cons 5924 def 2033 ref subst trans appThm 5893 ref refl 5925 def appThm sym nil 67 ref 5793 ref cons 5920 ref cons nil cons cons 5926 def 86 ref subst 5926 remove 151 ref subst 5750 remove 910 ref appTerm 5927 def betaConv nil 5875 remove 68 ref 5927 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 5778 remove 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 5761 ref appTerm 39 ref 41 ref 5746 ref 2438 ref 910 ref appTerm 5928 def appTerm absTerm 5929 def appTerm 5930 def appTerm nil cons cons 5920 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 5924 remove 106 ref subst 5761 remove assume eqMp appThm 5930 ref refl appThm nil 99 ref 5930 ref nil cons cons nil cons nil cons cons 2033 ref subst trans appThm 5925 remove appThm sym nil 144 ref 5897 ref 69 ref 5929 ref 5898 ref appTerm 5931 def appTerm 5893 ref appTerm 5932 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 5897 ref nil 99 ref 5932 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5931 ref nil cons 5933 def cons 5920 ref cons nil cons cons 5934 def 86 ref subst 5934 remove 151 ref subst 5931 ref betaConv 5931 remove assume eqMp nil 67 ref 5908 ref 853 ref 5904 ref appTerm 5935 def 910 ref appTerm 5936 def appTerm nil cons 5937 def cons 5920 remove cons nil cons cons 5938 def 136 ref subst proveHyp 5938 ref 86 ref subst 5938 remove 151 ref subst nil 5915 remove 114 ref 5936 ref nil cons cons nil cons cons nil cons cons 5939 def 127 ref subst 5939 remove 347 ref subst 5903 remove sym 544 ref 4161 ref 5936 remove assume 5940 def appThm 940 ref trans appThm 544 ref nil 99 ref 5914 ref cons nil cons nil cons cons 5941 def 106 ref subst 5907 remove assume eqMp appThm 3146 ref 5940 remove appThm 3814 ref appThm 4809 ref trans appThm 941 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 5918 remove 41 ref 5898 ref nil cons 5942 def cons nil cons 5943 def cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 5937 remove cons 114 ref 5896 remove cons nil cons 5944 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 5933 remove cons 5944 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 5929 ref 45 ref appTerm appTerm 5893 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 5930 remove appTerm 5893 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 5929 remove nil cons cons 5944 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 112 ref 5793 remove cons 5944 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 1555 ref cons 5945 def 5944 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp 324 ref 317 ref 5769 remove nil cons cons 356 ref 5883 remove nil cons cons nil cons cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 5877 remove cons 114 ref 5879 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 5776 remove cons 114 ref 5774 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 5946 def nil 67 ref 288 ref 5755 remove appTerm 5947 def nil cons 5948 def cons 68 ref 5756 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 5757 remove 567 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 812 ref 5744 ref appTerm nil cons cons 68 ref 5745 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 5744 remove nil cons cons 5716 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 812 ref 783 ref 69 ref 5738 ref 738 ref appTerm 5949 def appTerm 5741 remove appTerm absTerm appTerm appTerm 5718 ref appTerm nil cons cons 68 ref 5736 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 1522 ref 783 ref 329 ref 3781 ref 897 ref 711 ref subst 5950 def subst 5951 def appThm 543 ref 4 ref 2188 ref 5732 ref refl appThm nil 99 ref 5732 ref nil cons cons nil cons nil cons cons 562 ref subst trans absThm appThm appThm nil 99 ref 5733 remove nil cons cons nil cons nil cons cons 2033 ref subst trans absThm appThm appThm 5723 ref appThm appThm 5734 remove refl appThm 5737 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp absThm eqMp nil 1422 ref 5735 remove appTerm thm nil 317 ref 4 ref 54 ref 41 ref 23 ref 687 ref 1123 ref appTerm appTerm 1514 ref 29 ref 1123 ref appTerm 5952 def appTerm appTerm 5953 def absTerm 5954 def appTerm 5955 def absTerm 5956 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 5955 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 5954 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 5953 remove nil cons 5957 def cons nil cons nil cons cons 106 ref subst nil 3822 ref 68 ref 5957 ref cons nil cons 5958 def cons nil cons cons 5959 def 86 ref subst 5959 remove 151 ref subst 33 ref 1850 ref 700 ref subst 55 ref 1134 ref 3358 remove 1188 ref appThm absThm appThm trans appThm 1259 ref 3875 remove appThm 5960 def 5952 ref refl appThm nil 99 ref 5952 ref nil cons 5961 def cons nil cons nil cons cons 1308 ref subst trans appThm sym nil 67 ref 54 ref 1134 ref 2236 ref 1200 ref appTerm absTerm 5962 def appTerm 5963 def nil cons 5964 def cons 5965 def 68 ref 5961 ref cons nil cons cons nil cons cons 5966 def 348 ref subst 5966 ref 86 ref subst 5966 remove 151 ref subst 1850 remove 381 ref subst 55 ref 1134 ref 3626 ref refl 5967 def 1188 ref appThm absThm appThm trans sym nil 144 ref 5897 ref 23 ref 5906 ref 28 ref appTerm 5968 def appTerm 220 ref 5898 ref appTerm 5969 def 45 ref appTerm 5970 def appTerm 5971 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 5897 ref nil 99 ref 5971 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5968 ref nil cons 5972 def cons 5973 def 68 ref 5970 ref nil cons 5974 def cons nil cons cons nil cons cons 348 ref subst nil 1134 ref 5942 ref cons nil cons nil cons cons 5962 ref 1137 ref appTerm 5975 def betaConv nil 5965 ref 68 ref 5975 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 5962 ref nil cons cons 5976 def 1139 ref cons nil cons cons 161 ref subst eqMp eqMp subst nil 67 ref 69 ref 5968 ref appTerm 5970 ref appTerm nil cons cons 68 ref 69 ref 5970 ref appTerm 5968 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 5974 ref cons 68 ref 5972 ref cons nil cons 5977 def cons nil cons cons 5978 def 86 ref subst 5978 remove 151 ref subst 23 ref "_10450" 1 ref var 5979 def 44 ref 5979 remove varTerm appTerm 28 ref appTerm absTerm 5898 ref appTerm 5980 def appTerm refl 5981 def 1478 ref appThm 33 ref 5980 remove betaConv appThm 5982 def 634 ref appThm trans 2228 ref 5970 remove assume appThm eqMp sym 3783 ref nil 67 ref 2199 remove nil cons cons 1706 ref cons nil cons cons 136 ref subst proveHyp 329 ref 2195 remove 3876 remove appThm nil 99 ref 2196 remove cons nil cons nil cons cons 247 ref subst trans appThm 634 ref appThm sym nil 144 ref 296 ref 69 ref 2035 ref 297 ref appTerm 5983 def appTerm 49 ref appTerm 5984 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 5984 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 5983 ref nil cons 5985 def cons 1706 ref cons nil cons cons 5986 def 86 ref subst 5986 remove 151 ref subst 5983 ref betaConv 5987 def 5983 remove assume eqMp nil 67 ref 1164 ref nil cons 5988 def cons 1706 ref cons nil cons cons 5989 def 136 ref subst proveHyp 5989 ref 86 ref subst 5989 remove 151 ref subst 5962 remove 297 ref appTerm 5990 def betaConv nil 5965 remove 68 ref 5990 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 5976 remove 314 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 1164 ref appTerm 301 ref appTerm nil cons cons 1706 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 5988 ref cons nil cons nil cons cons 5991 def 106 ref subst 1164 ref assume 5992 def eqMp 5993 def appThm 301 ref refl 5994 def appThm nil 99 ref 301 ref nil cons 5995 def cons nil cons nil cons cons 5996 def 2033 ref subst trans appThm 634 ref appThm sym nil 67 ref 5995 ref cons 5997 def 1706 ref cons nil cons cons 5998 def 86 ref subst 5998 remove 151 ref subst 23 ref "_10456" 1 ref var 5999 def 44 ref 5999 remove varTerm appTerm 28 ref appTerm absTerm 45 ref appTerm appTerm refl 5987 remove appThm 33 ref 1478 remove appThm 1164 ref refl appThm trans 2228 ref 301 ref assume sym 6000 def appThm eqMp sym 5992 remove eqMp eqMp nil 112 ref 5995 remove cons 6001 def 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 5988 ref cons 6002 def 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 5985 remove cons 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 1134 ref 69 ref 2035 ref 1137 ref appTerm appTerm 49 ref appTerm absTerm appTerm nil cons cons 68 ref 4187 ref 49 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 4188 ref 1878 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp eqMp nil 112 ref 5974 remove cons 114 ref 5972 ref cons nil cons 6003 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 5964 ref cons 114 ref 5961 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 5963 ref appTerm 5952 ref appTerm nil cons cons 68 ref 69 ref 5952 ref appTerm 5963 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 5961 ref cons 68 ref 5964 ref cons nil cons cons nil cons cons 6004 def 86 ref subst 6004 remove 151 ref subst 23 ref "_10458" 3 ref var 6005 def 54 ref 1134 ref 69 ref 1153 ref 6005 remove varTerm appTerm appTerm 1200 ref appTerm absTerm appTerm absTerm 6006 def 28 ref appTerm 6007 def appTerm refl 6006 ref 1123 ref appTerm betaConv appThm 33 ref 6007 remove betaConv appThm 54 ref 1134 ref 69 ref 1153 ref 1123 ref appTerm 6008 def appTerm 6009 def 1200 ref appTerm absTerm appTerm refl appThm trans 6006 remove refl 5952 remove assume appThm eqMp sym 55 ref 1134 ref 2259 ref 1200 ref refl appThm 2240 ref 409 ref subst trans absThm appThm 377 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 5961 remove cons 114 ref 5964 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 3877 ref 114 ref 5957 ref cons nil cons 6010 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 3808 ref 5958 remove cons nil cons cons 6011 def 86 ref subst 6011 remove 151 ref subst 23 ref "_10448" 3 ref var 6012 def 23 ref 686 ref 6012 remove varTerm 6013 def appTerm 1123 ref appTerm appTerm 251 ref 27 ref 6013 remove appTerm 6014 def 13 ref appTerm appTerm 6014 remove 1123 ref appTerm appTerm appTerm absTerm 6015 def 28 ref appTerm 6016 def appTerm refl 6015 ref 13 ref appTerm betaConv appThm 33 ref 6016 remove betaConv appThm 23 ref 703 remove 1123 ref appTerm appTerm 251 ref 422 ref 13 ref appTerm appTerm 6017 def 422 remove 1123 ref appTerm 6018 def appTerm 6019 def appTerm refl appThm trans 6015 remove refl 3813 ref appThm eqMp sym 33 ref 1208 ref 702 ref subst appThm 1620 ref 6018 ref refl appThm nil 99 ref 6018 remove nil cons cons nil cons nil cons cons 1351 ref subst trans 6020 def appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 3819 ref 6010 remove cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 1513 remove appTerm 6021 def betaConv 1384 ref nil 1385 ref 68 ref 6021 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 2027 ref cons nil cons cons 161 ref subst eqMp eqMp 6022 def nil 3819 ref 114 ref 3821 remove cons 6023 def 261 ref 5957 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp 6024 def eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 5956 remove appTerm thm 292 ref 4 ref 442 ref 56 ref nil 596 ref 4 ref 425 ref 426 ref 39 ref 41 ref 428 ref 621 ref 58 ref appTerm 6025 def appTerm absTerm appTerm absTerm appTerm 6026 def nil cons 6027 def cons 6028 def nil cons 6029 def cons nil cons cons 700 ref subst 55 ref 41 ref 329 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 6025 ref absTerm 6030 def 45 ref appTerm 6031 def betaConv 6032 def appThm absThm appThm absThm appThm appThm appThm 6032 ref appThm nil 56 ref 6030 ref nil cons 6033 def cons 6034 def nil cons nil cons cons 465 ref subst eqMp 6035 def appThm 634 ref appThm absThm appThm trans absThm appThm absThm appThm sym nil 317 ref 4 ref 65 ref 56 ref 54 ref 41 ref 69 ref 6025 ref appTerm 49 ref appTerm 6036 def absTerm 6037 def appTerm 6038 def absTerm 6039 def appTerm 6040 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 6040 remove nil cons cons nil cons nil cons cons 106 ref subst nil 140 ref 6039 remove nil cons cons nil cons nil cons cons 139 ref 218 ref cons 6041 def 326 ref subst 6042 def subst 56 ref nil 99 ref 6038 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 6037 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6036 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6025 ref nil cons 6043 def cons 6044 def 1706 ref cons nil cons cons 6045 def 86 ref subst 6045 remove 151 ref subst nil 1731 ref 114 ref 58 ref nil cons 6046 def cons nil cons 6047 def cons nil cons cons 6048 def 127 ref subst 6049 def eqMp nil 112 ref 6043 ref cons 6050 def 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 288 ref 4 ref 65 ref 56 ref 686 ref 6026 ref appTerm 28 ref appTerm absTerm appTerm absTerm appTerm thm 1429 ref 1403 ref 292 ref 4 ref nil 783 ref 2404 ref cons 6051 def 1548 ref 1435 ref 1436 ref 39 ref 41 ref 75 ref 1438 ref 1412 ref appTerm 6052 def appTerm 6053 def 49 ref appTerm absTerm appTerm absTerm appTerm 6054 def nil cons cons nil cons cons nil cons cons 1551 ref subst 758 ref 872 ref 23 ref 1552 ref 6054 ref appTerm appTerm refl 2409 ref appThm absThm appThm trans absThm appThm absThm appThm sym 1429 ref 1403 ref 292 ref 4 ref 758 ref 872 ref 33 ref 1627 ref 1457 ref 1436 ref 40 ref 41 ref nil 1380 ref 661 ref 6052 ref nil cons cons nil cons cons nil cons cons 678 ref subst absThm appThm absThm appThm appThm appThm 40 ref 41 ref nil 1380 ref 661 ref 5579 ref cons nil cons cons nil cons cons 678 ref subst absThm appThm appThm absThm appThm absThm appThm absThm appThm sym 1429 ref 1403 ref 292 ref 4 ref 758 ref 872 ref 33 ref nil 1461 ref 1436 ref 39 ref 41 ref 621 ref 6052 remove appTerm absTerm appTerm absTerm 6055 def nil cons cons nil cons nil cons cons 1631 ref subst 6055 remove 910 ref appTerm betaConv trans appThm 39 ref 41 ref 621 ref 2412 ref appTerm absTerm appTerm 6056 def refl appThm nil 166 ref 6056 remove nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 947 ref trans absThm appThm 526 ref trans absThm appThm 1466 remove trans sym 105 ref eqMp eqMp eqMp 6057 def nil 1422 ref 1403 ref 288 ref 4 ref 1433 ref 6054 remove appTerm 1408 ref appTerm absTerm 6058 def appTerm 6059 def absTerm 6060 def appTerm 6061 def thm nil 144 ref 41 ref 288 ref 4 ref 288 ref 11 ref 23 ref 687 ref 4194 remove appTerm appTerm 957 ref 50 ref appTerm 6062 def appTerm absTerm 6063 def appTerm 6064 def absTerm 6065 def appTerm 6066 def absTerm 6067 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6066 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 6065 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 6064 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 6063 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref 33 ref 2001 remove 1037 ref 1205 ref subst appThm nil 494 ref 1135 ref cons nil cons nil cons cons 5067 remove subst 975 ref 2744 remove appThm trans trans appThm 6062 ref refl appThm nil 166 ref 6062 remove nil cons cons nil cons nil cons cons 225 ref subst trans absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 54 ref 6067 remove appTerm thm nil 144 ref 41 ref 288 ref 4 ref 288 ref 11 ref 23 ref 600 ref 1161 ref appTerm 30 ref appTerm appTerm 75 ref 1142 ref appTerm 602 ref appTerm 6068 def appTerm 6069 def absTerm 6070 def appTerm 6071 def absTerm 6072 def appTerm 6073 def absTerm 6074 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6073 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 6072 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 6071 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 6070 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 6069 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 600 ref refl 1316 ref appThm 1036 ref appThm appThm 6068 remove refl 6075 def appThm sym 33 ref 4969 remove 5143 ref 498 ref appTerm 6076 def betaConv 5145 ref 30 ref appTerm 6077 def betaConv 5147 ref 28 ref appTerm 6078 def betaConv 5142 remove nil 67 ref 5148 remove nil cons cons 68 ref 6078 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5147 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5146 remove nil cons cons 68 ref 6077 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5145 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5144 remove nil cons cons 68 ref 6076 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 5143 remove nil cons cons 4039 ref cons nil cons cons 161 ref subst eqMp eqMp subst appThm 6075 remove appThm sym 544 ref 33 ref 1208 remove 619 ref subst nil 15 ref 4 ref 2709 remove 30 ref appTerm nil cons cons nil cons cons nil cons cons 381 ref subst trans 55 ref 1134 ref 33 ref nil 2710 remove nil cons cons 632 ref subst 2711 remove 1262 ref appThm trans appThm 2164 remove appThm nil 99 ref 2712 ref 1261 ref appTerm 6079 def nil cons 6080 def cons nil cons nil cons cons 217 ref subst trans absThm appThm trans appThm 1947 ref appThm sym nil 67 ref 54 ref 1134 ref 34 ref 6079 remove appTerm 6081 def absTerm 6082 def appTerm 6083 def nil cons 6084 def cons 6085 def 3971 ref cons nil cons cons 6086 def 348 ref subst 6086 ref 86 ref subst 6086 remove 151 ref subst 3929 ref 3931 ref 3932 ref 6082 ref 45 ref appTerm 6087 def betaConv nil 6085 remove 68 ref 6087 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 6082 remove nil cons cons 6088 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 34 ref 2723 remove 47 ref appTerm 6089 def appTerm nil cons 6090 def cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 99 ref 6090 remove cons nil cons nil cons cons 1077 ref subst nil 99 ref 6089 remove nil cons cons nil cons nil cons cons 210 ref subst trans 2726 remove 1793 ref appThm 941 ref trans trans sym 105 ref eqMp eqMp eqMp 3941 ref deductAntisym eqMp eqMp eqMp nil 112 ref 6084 ref cons 1873 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 6083 ref appTerm 1142 ref appTerm nil cons cons 68 ref 4086 ref 6083 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1931 ref 68 ref 6084 ref cons nil cons cons nil cons cons 6091 def 86 ref subst 6091 remove 151 ref subst nil 6088 remove nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 6081 remove nil cons cons nil cons nil cons cons 106 ref subst nil 112 ref 6080 ref cons 6092 def nil cons nil cons cons 1070 ref subst nil 67 ref 6080 remove cons 1072 ref cons nil cons cons 6093 def 86 ref subst 6093 remove 151 ref subst 5010 remove 3379 remove 347 ref subst nil 67 ref 1273 ref cons 1072 ref cons nil cons cons 136 ref subst 3008 remove 1077 ref subst 35 ref 5008 remove 1937 ref trans 6094 def appThm 400 ref trans 6095 def trans sym 105 ref eqMp eqMp proveHyp proveHyp eqMp nil 6092 remove 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp nil 1939 ref 114 ref 6084 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp appThm 602 remove refl appThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 54 ref 6074 remove appTerm thm nil 144 ref 41 ref 288 ref 4 ref 2729 ref 288 ref 11 ref 4047 remove 688 ref appTerm 6096 def absTerm 6097 def appTerm 6098 def appTerm 6099 def absTerm 6100 def appTerm 6101 def absTerm 6102 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6101 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 6100 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 6099 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1941 ref 68 ref 6098 remove nil cons 6103 def cons nil cons cons nil cons cons 6104 def 86 ref subst 6104 remove 151 ref subst nil 317 ref 6097 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 6096 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 3359 remove appThm 700 ref appThm sym nil 67 ref 3370 ref cons 6105 def 2297 remove cons nil cons cons 6106 def 348 ref subst 6106 ref 86 ref subst 6106 remove 151 ref subst 2299 remove 1134 ref nil 99 ref 2236 ref 1261 ref appTerm nil cons cons nil cons nil cons cons 106 ref subst 3377 ref 86 ref subst 3377 remove 151 ref subst 3362 remove 1137 ref appTerm 6107 def betaConv nil 6105 remove 68 ref 6107 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 3372 remove 1139 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3373 remove cons 3376 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 2239 ref appThm 3360 ref refl appThm nil 99 ref 3374 remove cons nil cons nil cons cons 2033 ref subst trans appThm 1262 ref appThm sym 3407 remove 1070 ref subst nil 2226 ref 1072 ref cons nil cons cons 6108 def 86 ref subst 6108 remove 151 ref subst 2733 remove eqMp nil 2231 ref 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 3402 ref 68 ref 69 ref 3360 remove appTerm 1261 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 163 ref 1273 remove cons 166 ref 1275 remove cons nil cons cons nil cons cons 6109 def nil 174 ref 68 ref 4087 ref 69 ref 4088 ref appTerm 175 ref appTerm appTerm nil cons 6110 def cons nil cons 6111 def cons nil cons cons 6112 def 86 ref subst 6112 remove 151 ref subst 23 ref "_10499" 19 ref var 6113 def 69 ref 34 ref 6113 remove varTerm 6114 def appTerm appTerm 69 ref 251 ref 6114 remove appTerm 175 ref appTerm appTerm 175 ref appTerm appTerm absTerm 6115 def 169 ref appTerm 6116 def appTerm refl 6117 def 6115 ref 171 ref appTerm betaConv appThm 33 ref 6116 remove betaConv appThm 6118 def 4098 ref 69 ref 4099 ref appTerm 175 ref appTerm appTerm refl appThm trans 6115 remove refl 6119 def 192 ref appThm eqMp sym 4101 ref 329 ref 4103 ref appThm 402 ref appThm 410 ref trans appThm 3961 ref trans sym 105 ref eqMp eqMp eqMp nil 227 ref 114 ref 6110 ref cons nil cons 6120 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 231 ref 6111 remove cons nil cons cons 6121 def 86 ref subst 6121 remove 151 ref subst 6117 remove "_10497" 19 ref var 6122 def 69 ref 34 ref 6122 remove varTerm 6123 def appTerm appTerm 69 ref 251 ref 6123 remove appTerm 175 ref appTerm appTerm 175 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 6118 remove 4108 ref 69 ref 4109 ref appTerm 175 ref appTerm appTerm refl appThm trans 6119 remove 238 ref appThm eqMp sym 4110 ref 329 ref 4112 ref appThm 402 ref appThm 4102 ref trans appThm 4111 ref trans sym 105 ref eqMp eqMp eqMp nil 250 ref 6120 remove cons nil cons cons 127 ref subst deductAntisym eqMp 259 ref nil 250 ref 260 ref 261 ref 6110 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp eqMp eqMp 4251 ref deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 3370 remove cons 2303 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 3363 remove appTerm 693 remove appTerm nil cons cons 68 ref 3369 remove cons nil cons cons nil cons cons 151 ref subst proveHyp 3380 remove eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 1950 ref 114 ref 6103 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 54 ref 6102 remove appTerm thm 292 ref 4 ref 55 ref 41 ref 55 ref 296 ref 33 ref 1197 ref appThm 621 ref 3551 remove appTerm 6124 def refl appThm nil 166 ref 6124 ref nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 377 ref trans absThm appThm 377 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 54 ref 41 ref 54 ref 296 ref 23 ref 46 ref 3547 remove appTerm appTerm 6124 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 317 ref 4 ref 54 ref 41 ref 281 ref 534 ref 11 ref 75 ref 29 ref 3357 ref appTerm 6125 def appTerm 1142 ref appTerm 6126 def absTerm 6127 def appTerm 6128 def appTerm 6129 def absTerm 6130 def appTerm 6131 def absTerm 6132 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 6131 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 6130 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6129 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 6128 ref nil cons 6133 def cons nil cons cons nil cons cons 6134 def 348 ref subst 6134 ref 86 ref subst 6134 remove 151 ref subst 6127 ref 1115 ref appTerm betaConv sym 544 ref nil 11 ref 3396 remove cons nil cons nil cons cons 381 ref subst 55 ref 1134 ref 5967 remove 3397 remove appThm absThm appThm trans appThm 35 ref 1840 remove 1197 ref subst 1357 ref 35 ref 224 ref appThm 417 ref trans appThm 1365 ref trans trans appThm 400 ref trans appThm nil 99 ref 54 ref 1134 ref 3626 remove 3398 ref appTerm 6135 def absTerm 6136 def appTerm nil cons cons nil cons nil cons cons 1362 ref subst trans sym nil 144 ref 6136 remove nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 6135 remove nil cons cons nil cons nil cons cons 106 ref subst nil 2220 ref 68 ref 3398 ref nil cons 6137 def cons nil cons cons nil cons cons 6138 def 348 ref subst 6138 ref 86 ref subst 6138 remove 151 ref subst 1268 ref 4223 ref 4235 remove appThm nil 99 ref 3401 remove cons nil cons nil cons cons 562 ref subst trans appThm sym 3423 ref eqMp eqMp nil 2223 ref 114 ref 6137 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 2236 remove 3398 ref appTerm nil cons cons 68 ref 69 ref 3398 remove appTerm 1154 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 6137 ref cons 2218 ref cons nil cons cons 6139 def 86 ref subst 6139 remove 151 ref subst nil 67 ref 1203 ref cons 2218 remove cons nil cons cons 6140 def 86 ref subst 6140 remove 151 ref subst 4213 remove eqMp nil 4207 remove 2225 ref cons nil cons cons 127 ref subst deductAntisym eqMp 2234 remove nil 2231 ref 114 ref 1203 remove cons 2235 remove cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 6137 remove cons 2225 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp 324 ref 317 ref 6127 ref nil cons cons 6141 def 356 ref 1132 remove cons nil cons cons nil cons cons 594 ref subst proveHyp 6142 def eqMp nil 1731 ref 114 ref 6133 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 690 ref 6128 ref appTerm nil cons cons 68 ref 69 ref 6128 ref appTerm 6143 def 49 ref appTerm nil cons cons nil cons 6144 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 11 ref 69 ref 6127 ref 30 ref appTerm 6145 def appTerm 6146 def 49 ref appTerm 6147 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 6147 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6145 ref nil cons 6148 def cons 6149 def 1706 ref cons nil cons cons 6150 def 86 ref subst 6150 remove 151 ref subst 6145 ref betaConv 6145 remove assume eqMp 6151 def nil 67 ref 6126 remove nil cons 6152 def cons 6153 def 1706 ref cons nil cons cons 6154 def 136 ref subst proveHyp 6154 ref 86 ref subst 6154 remove 151 ref subst nil 112 ref 6125 ref nil cons cons 1873 remove cons nil cons cons 6155 def 127 ref subst 6156 def 6155 remove 347 ref subst 6157 def 366 ref 6125 remove assume 6158 def appThm nil 637 ref 1398 ref cons nil cons cons 1178 ref subst 1841 remove 1937 ref appThm 3422 ref trans trans trans sym 105 ref eqMp proveHyp proveHyp eqMp nil 112 ref 6152 remove cons 6159 def 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6148 remove cons 6160 def 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 6127 remove 1822 ref appTerm appTerm 6161 def 49 ref appTerm absTerm appTerm nil cons cons 6144 remove cons nil cons cons 136 ref subst proveHyp 324 ref 6141 ref 1878 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 6132 remove appTerm thm 292 ref 4 ref 292 ref 11 ref 55 ref 41 ref 1895 remove 1143 ref refl appThm 1978 remove trans absThm appThm 377 ref trans absThm appThm 526 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 4 ref 288 ref 11 ref 54 ref 41 ref 23 ref 46 ref 1140 ref appTerm 6162 def appTerm 1143 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 317 ref 4 ref 288 ref 11 ref 956 ref 39 ref 41 ref 75 ref 50 ref appTerm 6163 def 4960 remove appTerm absTerm appTerm appTerm 6164 def absTerm 6165 def appTerm 6166 def absTerm 6167 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 6166 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 6165 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 6164 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 33 ref 1100 remove appThm 957 ref 39 ref 452 ref 5365 remove 1560 ref appTerm 6168 def absTerm 6169 def appTerm 6170 def appTerm 6171 def refl appThm sym 975 remove 35 ref 995 ref appThm 33 ref 35 ref 55 ref 41 ref 1026 ref absThm appThm appThm appThm 40 ref 41 ref 35 ref 1026 remove appThm absThm appThm appThm nil 56 ref 1028 remove cons nil cons nil cons cons 2172 ref subst eqMp 40 ref 41 ref nil 1380 ref 4017 remove cons nil cons cons 659 ref 23 ref 34 ref 69 ref 665 ref appTerm 667 ref appTerm appTerm appTerm 666 remove 1368 ref appTerm appTerm absTerm 6172 def 667 ref appTerm 6173 def betaConv 661 ref 198 ref 6172 ref appTerm 6174 def absTerm 6175 def 665 ref appTerm 6176 def betaConv nil 198 ref 6175 ref appTerm 6177 def axiom nil 67 ref 6177 remove nil cons cons 68 ref 6176 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 6175 remove nil cons cons 676 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6174 remove nil cons cons 68 ref 6173 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 6172 remove nil cons cons 677 ref cons nil cons cons 161 ref subst eqMp eqMp 6178 def subst absThm appThm trans trans appThm eqMp 6179 def appThm 40 ref 41 ref 6163 ref refl 5012 remove appThm absThm appThm appThm sym nil 67 ref 6171 ref nil cons 6180 def cons 68 ref 39 ref 41 ref 6163 remove 4961 ref appTerm 6181 def absTerm 6182 def appTerm 6183 def nil cons 6184 def cons nil cons 6185 def cons nil cons cons 6186 def 348 ref subst 6186 ref 86 ref subst 6186 remove 151 ref subst nil 1051 ref 114 ref 6170 ref nil cons 6187 def cons nil cons cons nil cons cons 6188 def 127 ref subst 6188 remove 347 ref subst nil 67 ref 6187 ref cons 6185 ref cons nil cons cons 136 ref subst nil 144 ref 452 ref 69 ref 6169 ref 453 ref appTerm 6189 def appTerm 6183 ref appTerm 6190 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 6190 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6189 ref nil cons 6191 def cons 6185 ref cons nil cons cons 6192 def 86 ref subst 6192 remove 151 ref subst 6189 ref betaConv 6189 remove assume eqMp nil 67 ref 6168 remove nil cons 6193 def cons 6185 remove cons nil cons cons 6194 def 136 ref subst proveHyp 6194 ref 86 ref subst 6194 remove 151 ref subst nil 112 ref 5486 ref cons 114 ref 1566 ref cons 6195 def nil cons cons nil cons cons 6196 def 127 ref subst 6196 remove 347 ref subst 6182 ref 453 ref appTerm betaConv sym 544 ref 35 ref nil 1567 ref 68 ref 5241 remove cons nil cons cons nil cons cons 136 ref subst nil 112 ref 1558 ref cons 6197 def nil cons nil cons cons 1095 ref subst eqMp 6198 def appThm 400 ref trans 6199 def appThm 544 ref nil 99 ref 5486 remove cons nil cons nil cons cons 106 ref subst 5364 ref assume eqMp appThm 1057 ref appThm 941 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 6182 ref nil cons cons 6200 def 868 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 6193 remove cons 114 ref 6184 remove cons nil cons 6201 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6191 remove cons 6201 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 6169 ref 45 ref appTerm 6202 def appTerm 6183 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 6170 remove appTerm 6183 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 6169 remove nil cons cons 6203 def 6201 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 6180 ref cons 6201 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 6171 ref appTerm 6183 ref appTerm nil cons cons 68 ref 69 ref 6183 remove appTerm 6171 ref appTerm nil cons cons nil cons 6204 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 41 ref 69 ref 6182 remove 45 ref appTerm 6205 def appTerm 6171 ref appTerm 6206 def absTerm 6207 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6206 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6205 ref nil cons 6208 def cons 68 ref 6180 ref cons nil cons 6209 def cons nil cons cons 6210 def 86 ref subst 6210 remove 151 ref subst 6205 ref betaConv 6205 remove assume eqMp nil 67 ref 6181 remove nil cons 6211 def cons 6209 remove cons nil cons cons 6212 def 136 ref subst proveHyp 6212 ref 86 ref subst 6212 remove 151 ref subst nil 1950 ref 114 ref 4961 remove nil cons cons nil cons cons nil cons cons 6213 def 127 ref subst 6213 remove 347 ref subst nil 1935 ref 2186 remove cons nil cons cons 6214 def 127 ref subst 6214 remove 347 ref subst nil 1063 ref 68 ref 6187 remove cons nil cons cons nil cons cons 151 ref subst 6202 remove betaConv sym 544 ref 1793 ref appThm 35 ref 1945 ref appThm 400 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 6203 remove 311 ref cons nil cons cons 594 ref subst proveHyp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 6211 remove cons 114 ref 6180 remove cons nil cons 6215 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6208 remove cons 6215 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 6207 remove appTerm nil cons cons 6204 remove cons nil cons cons 136 ref subst proveHyp 309 ref 6200 remove 6215 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 6167 remove appTerm thm nil 317 ref 4 ref 1514 ref 39 ref 41 ref 6128 remove absTerm 6216 def appTerm 6217 def appTerm 6218 def absTerm 6219 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 6218 remove nil cons 6220 def cons nil cons nil cons cons 106 ref subst 329 ref 472 ref appThm 6217 ref refl appThm sym nil 144 ref 41 ref 4153 ref 6217 ref appTerm 6221 def absTerm 6222 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6221 remove nil cons cons nil cons nil cons cons 106 ref subst nil 4157 remove 68 ref 6217 ref nil cons 6223 def cons nil cons 6224 def cons nil cons cons 6225 def 86 ref subst 6225 remove 151 ref subst 4159 remove nil 1015 ref 6224 remove cons nil cons cons 6226 def 136 ref subst proveHyp 6226 ref 86 ref subst 6226 remove 151 ref subst 6216 ref 45 ref appTerm 6227 def betaConv 6228 def sym 6142 remove eqMp 309 ref 144 ref 6216 remove nil cons cons 6229 def 311 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 1731 ref 114 ref 6223 ref cons 6230 def nil cons 6231 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 4186 remove 6231 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 6222 remove appTerm nil cons cons 68 ref 4187 ref 6217 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 4188 ref 6231 remove cons nil cons cons 929 ref subst eqMp eqMp nil 67 ref 3802 remove 6217 ref appTerm nil cons cons 68 ref 6220 ref cons nil cons cons nil cons cons 136 ref subst proveHyp nil 163 ref 6223 remove cons 2027 remove cons nil cons cons 4113 remove subst eqMp 6232 def eqMp absThm eqMp nil 288 ref 6219 remove appTerm thm nil 510 ref 488 ref 493 ref 2047 ref 530 ref 3501 ref 3502 ref 534 ref 11 ref 75 ref 3504 ref 2047 ref 30 ref appTerm 6233 def appTerm appTerm 2062 ref appTerm absTerm appTerm absTerm appTerm 6234 def appTerm appTerm appTerm 6235 def absTerm 6236 def nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 6235 remove nil cons cons nil cons nil cons cons 106 ref subst 493 remove refl 2047 ref refl nil 494 ref 7 remove cons nil cons nil cons cons 488 ref 27 ref 530 ref 3501 ref 3502 ref 534 ref 11 ref 75 ref 3504 ref 1118 ref 498 ref appTerm 6237 def 30 ref appTerm 6238 def appTerm appTerm 2062 ref appTerm absTerm appTerm absTerm appTerm 6239 def appTerm 6240 def appTerm 6237 ref 492 ref appTerm 6241 def appTerm 6242 def absTerm 6243 def 491 ref appTerm 6244 def betaConv 494 ref 506 ref 6243 ref appTerm 6245 def absTerm 6246 def 498 ref appTerm 6247 def betaConv 292 ref 494 ref 1663 ref 488 ref 6242 remove assume sym 27 ref 6241 ref appTerm 6248 def 6240 remove appTerm 6249 def assume sym deductAntisym absThm appThm absThm appThm nil 317 ref 494 ref 506 ref 488 ref 6249 ref absTerm 6250 def appTerm 6251 def absTerm 6252 def nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 6251 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 6250 remove nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 6249 remove nil cons cons nil cons nil cons cons 106 ref subst 6248 remove refl 640 ref 4735 ref 3509 ref 3502 ref 543 ref 11 ref 544 ref 4743 ref 11 ref 6238 ref absTerm 6253 def 30 ref appTerm betaConv 6254 def appThm appThm 356 ref 2488 ref absTerm 6255 def 30 ref appTerm 6256 def betaConv 6257 def appThm absThm appThm absThm appThm 6258 def appThm appThm 429 ref 426 ref 40 ref 452 ref 4747 ref 543 ref 11 ref 544 ref 6257 ref appThm 4749 ref 6254 remove appThm 6259 def appThm absThm appThm appThm absThm appThm absThm appThm appThm nil "f" 605 ref var 6260 def 6253 remove nil cons cons 2930 ref 11 ref 2062 remove absTerm nil cons cons nil cons 6261 def cons nil cons cons 6262 def 323 ref 1400 ref cons 218 ref cons 6263 def 4849 ref subst 6264 def subst eqMp appThm sym nil 11 ref 425 ref 426 ref 39 ref 452 ref 4746 ref 534 ref 11 ref 2063 ref 834 ref 6238 remove appTerm 6265 def appTerm absTerm appTerm 6266 def appTerm absTerm appTerm absTerm appTerm 6267 def nil cons cons 4 ref 6241 ref nil cons cons nil cons cons nil cons cons 381 ref subst sym nil 144 ref 41 ref 23 ref 46 ref 6241 remove appTerm appTerm 46 ref 6267 remove appTerm appTerm 6268 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6268 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 11 ref 2529 remove cons 6269 def 5100 ref cons nil cons cons 1152 ref subst 5834 ref 35 ref 516 ref appThm 6270 def 33 ref 35 ref 3206 remove appThm appThm 543 ref 11 ref 35 ref 2594 remove appThm absThm appThm appThm nil 3208 remove nil cons nil cons cons 325 ref 2172 ref subst 6271 def subst eqMp trans appThm trans appThm 33 ref 366 ref 429 ref 426 ref 40 ref 452 ref 4747 ref 452 ref 6266 remove absTerm 6272 def 453 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 6272 ref 45 ref appTerm betaConv appThm nil 56 ref 6272 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 543 ref 11 ref 2063 ref refl 6273 def nil 5100 ref nil cons cons 6274 def 1152 ref subst 6275 def appThm absThm appThm trans appThm sym nil 67 ref 23 ref 501 ref appTerm 6276 def 171 ref appTerm 6277 def nil cons 6278 def cons 6279 def 68 ref 23 ref 5746 ref 534 ref 11 ref 34 ref 2541 remove appTerm 6280 def absTerm appTerm 6281 def appTerm appTerm 534 ref 11 ref 2063 ref 5746 ref 1142 ref appTerm 6282 def appTerm absTerm appTerm appTerm nil cons 6283 def cons nil cons 6284 def cons nil cons cons 6285 def 86 ref subst 6285 remove 151 ref subst 23 ref "_10716" 19 ref var 6286 def 23 ref 75 ref 6286 remove varTerm appTerm 6287 def 6281 ref appTerm appTerm 534 ref 11 ref 2063 ref 6287 remove 1142 ref appTerm appTerm absTerm appTerm appTerm absTerm 6288 def 501 ref appTerm 6289 def appTerm refl 6290 def 6288 ref 171 ref appTerm betaConv appThm 33 ref 6289 remove betaConv appThm 6291 def 23 ref 545 ref 6281 ref appTerm appTerm 534 ref 11 ref 2063 ref 2342 ref appTerm absTerm appTerm appTerm refl appThm trans 6288 remove refl 6292 def 6277 remove assume 6293 def appThm eqMp sym 33 ref nil 99 ref 6281 ref nil cons cons nil cons nil cons cons 6294 def 549 ref subst appThm 543 ref 11 ref 6273 ref 1949 remove appThm 2088 ref 1106 ref subst 6295 def trans absThm appThm 553 ref trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 6278 ref cons 6296 def 114 ref 6283 ref cons nil cons 6297 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 6276 remove 91 ref appTerm 6298 def nil cons 6299 def cons 6300 def 6284 remove cons nil cons cons 6301 def 86 ref subst 6301 remove 151 ref subst 6290 remove "_10714" 19 ref var 6302 def 23 ref 75 ref 6302 remove varTerm appTerm 6303 def 6281 ref appTerm appTerm 534 ref 11 ref 2063 ref 6303 remove 1142 ref appTerm appTerm absTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 6291 remove 23 ref 558 ref 6281 remove appTerm appTerm 534 ref 11 ref 2063 ref 2354 ref appTerm absTerm appTerm appTerm refl appThm trans 6292 remove 6298 remove assume 6304 def appThm eqMp sym 33 ref 6294 remove 562 ref subst appThm 543 ref 11 ref 6273 ref 2357 ref appThm absThm appThm appThm sym 543 ref 11 ref nil 2375 ref 68 ref 23 ref 6280 remove appTerm 2063 ref 1142 ref appTerm appTerm nil cons 6305 def cons nil cons 6306 def cons nil cons cons 6307 def 86 ref subst 6307 remove 151 ref subst 23 ref "_10720" 19 ref var 6308 def 23 ref 34 ref 2540 ref 6308 remove varTerm 6309 def appTerm appTerm appTerm 2063 ref 34 ref 6309 remove appTerm appTerm appTerm absTerm 6310 def 47 ref appTerm 6311 def appTerm refl 6312 def 6310 ref 171 ref appTerm betaConv appThm 33 ref 6311 remove betaConv appThm 6313 def 23 ref 34 ref 2540 ref 171 ref appTerm appTerm appTerm 2063 ref 397 ref appTerm appTerm refl appThm trans 6310 remove refl 6314 def 2386 ref appThm eqMp sym 33 ref 35 ref 2088 ref 1077 ref subst 6315 def appThm 2088 ref 210 ref subst trans appThm 6273 ref 400 ref appThm 2088 ref 1362 ref subst 6316 def trans appThm nil 3977 remove nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 2388 ref 114 ref 6305 ref cons nil cons 6317 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2392 ref 6306 remove cons nil cons cons 6318 def 86 ref subst 6318 remove 151 ref subst 6312 remove "_10718" 19 ref var 6319 def 23 ref 34 ref 2540 ref 6319 remove varTerm 6320 def appTerm appTerm appTerm 2063 ref 34 ref 6320 remove appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 6313 remove 23 ref 34 ref 2540 ref 91 ref appTerm appTerm appTerm 2063 ref 415 ref appTerm appTerm refl appThm trans 6314 remove 2397 ref appThm eqMp sym 33 ref 35 ref 2088 remove 709 ref subst 6321 def appThm 417 ref trans appThm 6273 ref 417 ref appThm 6295 ref trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 2399 ref 6317 remove cons nil cons cons 127 ref subst deductAntisym eqMp 2401 ref nil 2399 ref 2402 ref 261 ref 6305 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp absThm appThm eqMp eqMp eqMp nil 112 ref 6299 remove cons 6322 def 6297 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 501 ref appTerm 6323 def betaConv 255 ref nil 256 ref 68 ref 6323 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 4016 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp 6324 def nil 6322 ref 114 ref 6278 remove cons 6325 def 261 ref 6283 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp absThm eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 6326 def eqMp nil 67 ref 288 ref 6246 ref appTerm nil cons cons 68 ref 6247 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 6246 remove nil cons cons 4039 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6245 remove nil cons cons 68 ref 6244 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 510 ref 6243 remove nil cons cons 513 ref cons nil cons cons 161 ref subst eqMp eqMp subst appThm appThm sym nil 11 ref 2047 ref 2047 ref 492 ref appTerm 6327 def appTerm 6328 def nil cons cons 2531 ref cons nil cons cons 381 ref subst sym nil 144 ref 41 ref 4856 remove 46 ref 6328 remove appTerm appTerm absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref 3878 remove nil 11 ref 6327 remove nil cons cons 9 ref cons nil cons cons 1152 ref subst 1487 ref 35 ref nil 6269 ref 9 ref cons nil cons cons 1152 ref subst 1487 ref 6270 remove appThm nil 99 ref 34 ref 2543 ref appTerm nil cons cons nil cons nil cons cons 562 ref subst trans trans appThm 3879 ref 210 ref subst trans appThm 3879 ref 562 ref subst 6329 def trans trans appThm 4855 remove trans absThm eqMp eqMp eqMp eqMp absThm eqMp nil 506 ref 6236 remove appTerm thm nil 510 ref 488 ref 533 remove 2047 remove 485 ref 6234 remove appTerm 6330 def appTerm 6331 def appTerm 6332 def absTerm 6333 def nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 6332 remove nil cons cons nil cons nil cons cons 106 ref subst nil 11 ref 6331 ref nil cons cons 3278 ref cons nil cons cons 381 ref subst sym nil 144 ref 41 ref 4858 remove 46 ref 6331 remove appTerm appTerm absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref 3899 remove nil 11 ref 6330 remove nil cons cons 9 remove cons nil cons cons 1152 ref subst 1487 ref 35 ref 366 ref 640 ref 485 ref refl 6334 def 3509 ref 3502 ref 543 ref 11 ref 544 ref 4743 ref 11 ref 6233 remove absTerm 6335 def 30 ref appTerm betaConv 6336 def appThm appThm 6257 ref appThm absThm appThm absThm appThm appThm appThm 429 ref 426 ref 40 ref 452 ref 4747 ref 292 ref 11 ref 329 ref 6257 ref appThm 6337 def 4749 ref 6336 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil 6260 ref 6335 remove nil cons cons 6261 remove cons nil cons cons 6263 remove nil 783 ref 1435 ref 1436 ref 794 ref 4750 ref 4752 ref 54 ref 41 ref 570 ref 4754 remove appTerm absTerm 6338 def appTerm 6339 def appTerm absTerm appTerm absTerm 6340 def appTerm 6341 def nil cons cons 1548 ref 3052 ref 4764 remove appTerm 6342 def nil cons cons nil cons cons nil cons cons 1551 ref subst sym 758 ref 872 ref 33 ref 4766 remove 3075 ref subst 1522 ref 783 ref 329 ref 4767 remove appThm 2919 ref appThm absThm appThm trans appThm nil 1461 ref 6340 ref nil cons cons nil cons nil cons cons 1631 ref subst 6340 remove 910 ref appTerm betaConv trans appThm absThm appThm sym nil 871 ref 872 ref 23 ref 812 ref 783 ref 4816 remove 1553 ref appTerm 6343 def absTerm 6344 def appTerm 6345 def appTerm 794 ref 4750 ref 4774 remove 6339 ref appTerm 6346 def absTerm 6347 def appTerm 6348 def appTerm 6349 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 6349 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6345 ref nil cons 6350 def cons 6351 def 68 ref 6348 ref nil cons 6352 def cons nil cons cons nil cons cons 6353 def 348 ref subst 6353 ref 86 ref subst 6353 remove 151 ref subst 6347 ref 910 ref appTerm betaConv sym 3093 ref 54 ref 41 ref 570 ref 3094 ref appTerm absTerm appTerm 6354 def refl appThm nil 99 ref 6354 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym nil 144 ref 1134 ref 69 ref 4797 ref appTerm 3097 remove appTerm 6355 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 6355 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4801 remove cons 6356 def 3100 ref cons nil cons cons 6357 def 86 ref subst 6357 remove 151 ref subst 4847 remove nil 67 ref 4846 remove cons 3100 remove cons nil cons cons 136 ref subst proveHyp 3110 remove 6344 ref 789 ref appTerm 6358 def betaConv nil 6351 remove 68 ref 6358 remove nil cons cons nil cons cons nil cons cons 136 ref subst 819 ref 820 ref 6344 remove nil cons cons 6359 def 823 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 4839 remove 3113 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 870 ref 871 ref 6347 ref nil cons cons 6360 def 3115 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 6350 ref cons 114 ref 6352 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 6345 ref appTerm 6348 ref appTerm nil cons cons 68 ref 69 ref 6348 remove appTerm 6345 ref appTerm nil cons cons nil cons 6361 def cons nil cons cons 151 ref subst proveHyp nil 871 ref 4750 ref 69 ref 6347 ref 4751 ref appTerm 6362 def appTerm 6345 ref appTerm 6363 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 4750 ref nil 99 ref 6363 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6362 ref nil cons 6364 def cons 68 ref 6350 ref cons nil cons 6365 def cons nil cons cons 6366 def 86 ref subst 6366 remove 151 ref subst 6362 ref betaConv 6362 remove assume eqMp nil 67 ref 6346 remove nil cons 6367 def cons 6365 remove cons nil cons cons 6368 def 136 ref subst proveHyp 6368 ref 86 ref subst 6368 remove 151 ref subst nil 4829 remove 114 ref 6339 remove nil cons 6369 def cons nil cons cons nil cons cons 6370 def 127 ref subst 6370 remove 347 ref subst nil 6359 remove nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 6343 remove nil cons 6371 def cons nil cons nil cons cons 106 ref subst nil 144 ref 1134 ref 4791 remove 1553 ref appTerm 6372 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 6372 remove nil cons cons nil cons nil cons cons 106 ref subst nil 4794 remove 2931 ref cons nil cons cons 6373 def 86 ref subst 6373 remove 151 ref subst 4796 remove nil 4799 remove 2931 ref cons nil cons cons 6374 def 136 ref subst proveHyp 6374 ref 86 ref subst 6374 remove 151 ref subst 4804 remove 4805 remove 4844 remove 3149 remove appThm sym nil 6356 remove 68 ref 4840 remove cons nil cons cons nil cons cons 136 ref subst 1269 ref 6338 ref 45 ref appTerm 6375 def betaConv nil 67 ref 6369 remove cons 68 ref 6375 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 6338 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp proveHyp proveHyp eqMp nil 4812 remove 3154 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 4814 remove 3154 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 4815 remove 1553 ref appTerm absTerm appTerm nil cons cons 68 ref 6371 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 4817 remove 3154 ref cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 6367 remove cons 114 ref 6350 remove cons nil cons 6376 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6364 remove cons 6376 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 2785 ref 69 ref 6347 remove 2786 ref appTerm appTerm 6345 remove appTerm absTerm appTerm nil cons cons 6361 remove cons nil cons cons 136 ref subst proveHyp 870 ref 6360 remove 6376 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp 6377 def subst 6378 def subst eqMp 429 ref 426 ref 40 ref 452 ref 4747 ref 292 ref 11 ref 3880 ref nil 8 ref 868 ref cons nil cons cons 1152 ref subst 943 remove 34 ref 5364 ref appTerm 6379 def refl appThm nil 99 ref 6379 ref nil cons cons nil cons nil cons cons 562 ref subst trans trans appThm absThm appThm appThm absThm appThm absThm appThm trans appThm 33 ref 366 ref 429 ref 426 ref 40 ref 452 ref 4747 ref 452 ref 288 ref 11 ref 2540 ref 6379 remove appTerm absTerm appTerm absTerm 6380 def 453 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 6380 ref 45 ref appTerm betaConv appThm nil 56 ref 6380 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp trans appThm 33 ref 35 ref 292 ref 11 ref 11 ref 2540 ref 1142 ref appTerm 6381 def absTerm 6382 def 30 ref appTerm betaConv 6383 def absThm appThm appThm appThm 543 ref 11 ref 35 ref 6383 remove appThm absThm appThm appThm nil 2930 ref 6382 remove nil cons cons nil cons nil cons cons 6271 ref subst eqMp 543 ref 11 ref nil 1962 remove 3905 remove cons nil cons cons 6178 ref subst 6273 remove 2358 ref appThm trans absThm appThm trans trans appThm 3900 ref 562 ref subst trans trans appThm 4857 ref trans absThm eqMp eqMp eqMp absThm eqMp nil 506 ref 6333 remove appTerm thm 1467 remove nil 1468 remove thm nil 317 ref 4 ref 288 ref 11 ref 956 remove 6171 remove appTerm 6384 def absTerm 6385 def appTerm 6386 def absTerm 6387 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 6386 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 6385 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 6384 remove nil cons cons nil cons nil cons cons 106 ref subst 6179 remove eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 6387 remove appTerm thm 55 ref 41 ref 758 ref 795 ref 292 ref 4 ref 1522 ref 783 ref 33 ref 1537 ref appThm 808 ref refl 6388 def appThm nil 166 ref 808 ref nil cons 6389 def cons nil cons nil cons cons 225 ref subst trans absThm appThm 1600 ref trans absThm appThm 526 ref trans absThm appThm 947 ref trans absThm appThm 377 ref trans sym 105 ref eqMp nil 54 ref 41 ref 757 ref 795 ref 288 ref 4 ref 812 ref 783 ref 23 ref 1530 ref 790 ref appTerm appTerm 808 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 292 ref "s1" 3 ref var 6390 def 292 ref "s2" 3 ref var 6391 def 1522 ref "t1" 731 ref var 6392 def 1522 ref "t2" 731 ref var 6393 def nil 727 ref 736 ref 608 ref 6390 ref varTerm 6394 def appTerm 6391 ref varTerm 6395 def appTerm 6396 def appTerm 5286 remove 6392 ref varTerm 6397 def appTerm 6393 ref varTerm 6398 def appTerm 6399 def appTerm 6400 def nil cons cons 729 ref 5284 remove 736 ref 6394 ref appTerm 6397 ref appTerm 6401 def appTerm 736 ref 6395 ref appTerm 6398 ref appTerm 6402 def appTerm 6403 def nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 6403 ref appTerm appTerm 753 ref 6400 ref appTerm appTerm absTerm 6404 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 6404 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 6404 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 727 ref 6402 ref nil cons cons 6405 def 729 ref 6401 ref nil cons cons 6406 def 842 ref cons cons nil cons cons 5291 remove subst 544 ref nil 783 ref 6397 ref nil cons 6407 def cons 6408 def 4 ref 6394 ref nil cons 6409 def cons 6410 def 1529 ref cons cons nil cons cons 1537 ref subst appThm nil 783 ref 6398 ref nil cons 6411 def cons 6412 def 4 ref 6395 ref nil cons 6413 def cons 6414 def 1529 ref cons cons nil cons cons 1537 ref subst appThm trans appThm nil 783 ref 6399 ref nil cons cons 6415 def 4 ref 6396 ref nil cons cons 6416 def 1529 ref cons cons nil cons cons 1537 ref subst 544 ref nil 11 ref 6413 ref cons 6417 def 6410 ref 868 ref cons cons nil cons cons 632 ref subst appThm nil 6412 ref 1548 ref 6407 ref cons 6418 def 874 ref cons cons nil cons cons 5290 remove subst appThm trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm absThm appThm absThm appThm sym nil 317 ref 6390 ref 288 ref 6391 ref 812 ref 6392 ref 812 ref 6393 ref 54 ref 452 ref 757 ref 759 ref 23 ref 75 ref 75 ref 834 ref 6394 ref appTerm 6419 def appTerm 6420 def 1542 ref 6397 ref appTerm 6421 def appTerm appTerm 75 ref 834 ref 6395 ref appTerm 6422 def appTerm 6423 def 1542 ref 6398 ref appTerm 6424 def appTerm 6425 def appTerm appTerm 75 ref 6420 remove 6422 ref appTerm appTerm 75 ref 6421 ref appTerm 6426 def 6424 ref appTerm 6427 def appTerm appTerm 6428 def absTerm 6429 def appTerm 6430 def absTerm 6431 def appTerm 6432 def absTerm 6433 def appTerm 6434 def absTerm 6435 def appTerm 6436 def absTerm 6437 def appTerm 6438 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 6390 ref nil 99 ref 6438 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 6437 remove nil cons cons nil cons nil cons cons 327 ref subst 6391 ref nil 99 ref 6436 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 6435 remove nil cons cons nil cons nil cons cons 3128 ref subst 6392 ref nil 99 ref 6434 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 6433 remove nil cons cons nil cons nil cons cons 3128 ref subst 6393 ref nil 99 ref 6432 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 6431 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 6430 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 6429 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 6428 remove nil cons 6439 def cons nil cons nil cons cons 106 ref subst nil 67 ref 23 ref 6419 ref appTerm 6440 def 171 ref appTerm 6441 def nil cons 6442 def cons 68 ref 6439 ref cons nil cons 6443 def cons nil cons cons 6444 def 86 ref subst 6444 remove 151 ref subst 23 ref "_11880" 19 ref var 6445 def 23 ref 75 ref 75 ref 6445 remove varTerm appTerm 6446 def 6421 ref appTerm appTerm 6425 ref appTerm appTerm 75 ref 6446 remove 6422 ref appTerm appTerm 6427 ref appTerm appTerm absTerm 6447 def 6419 ref appTerm 6448 def appTerm refl 6449 def 6447 ref 171 ref appTerm betaConv appThm 33 ref 6448 remove betaConv appThm 6450 def 23 ref 75 ref 545 ref 6421 ref appTerm appTerm 6425 ref appTerm appTerm 75 ref 545 ref 6422 ref appTerm appTerm 6427 ref appTerm appTerm refl appThm trans 6447 remove refl 6451 def 6441 remove assume appThm eqMp sym 33 ref 544 ref nil 99 ref 6421 ref nil cons 6452 def cons nil cons nil cons cons 6453 def 549 ref subst appThm 6425 ref refl 6454 def appThm nil 99 ref 6425 ref nil cons 6455 def cons nil cons nil cons cons 6456 def 549 ref subst 6457 def trans appThm 544 ref nil 99 ref 6422 ref nil cons cons nil cons nil cons cons 6458 def 549 ref subst appThm 6427 ref refl 6459 def appThm nil 99 ref 6427 ref nil cons cons nil cons nil cons cons 549 ref subst trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 6442 ref cons 114 ref 6439 ref cons nil cons 6460 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 6440 remove 91 ref appTerm 6461 def nil cons 6462 def cons 6443 remove cons nil cons cons 6463 def 86 ref subst 6463 remove 151 ref subst 6449 remove "_11878" 19 ref var 6464 def 23 ref 75 ref 75 ref 6464 remove varTerm appTerm 6465 def 6421 ref appTerm appTerm 6425 ref appTerm appTerm 75 ref 6465 remove 6422 ref appTerm appTerm 6427 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 6450 remove 23 ref 75 ref 558 ref 6421 ref appTerm appTerm 6425 ref appTerm appTerm 75 ref 558 ref 6422 remove appTerm appTerm 6427 ref appTerm appTerm refl appThm trans 6451 remove 6461 remove assume appThm eqMp sym 33 ref 544 ref 6453 remove 562 ref subst appThm 6454 remove appThm appThm 544 ref 6458 ref 562 ref subst appThm 6459 remove appThm appThm sym nil 67 ref 23 ref 6421 ref appTerm 6466 def 171 ref appTerm 6467 def nil cons 6468 def cons 68 ref 23 ref 6426 remove 6425 ref appTerm appTerm 6423 ref 6427 remove appTerm appTerm nil cons 6469 def cons nil cons 6470 def cons nil cons cons 6471 def 86 ref subst 6471 remove 151 ref subst 23 ref "_11884" 19 ref var 6472 def 23 ref 75 ref 6472 remove varTerm appTerm 6473 def 6425 ref appTerm appTerm 6423 ref 6473 remove 6424 ref appTerm appTerm appTerm absTerm 6474 def 6421 ref appTerm 6475 def appTerm refl 6476 def 6474 ref 171 ref appTerm betaConv appThm 33 ref 6475 remove betaConv appThm 6477 def 23 ref 545 ref 6425 ref appTerm appTerm 6423 ref 545 ref 6424 ref appTerm appTerm appTerm refl appThm trans 6474 remove refl 6478 def 6467 remove assume appThm eqMp sym 33 ref 6457 remove appThm 6423 ref refl 6479 def nil 99 ref 6424 ref nil cons cons nil cons nil cons cons 6480 def 549 ref subst appThm 6458 remove 1106 ref subst trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 6468 ref cons 114 ref 6469 ref cons nil cons 6481 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 6466 remove 91 ref appTerm 6482 def nil cons 6483 def cons 6470 remove cons nil cons cons 6484 def 86 ref subst 6484 remove 151 ref subst 6476 remove "_11882" 19 ref var 6485 def 23 ref 75 ref 6485 remove varTerm appTerm 6486 def 6425 ref appTerm appTerm 6423 ref 6486 remove 6424 ref appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 6477 remove 23 ref 558 ref 6425 remove appTerm appTerm 6423 remove 558 ref 6424 remove appTerm appTerm appTerm refl appThm trans 6478 remove 6482 remove assume appThm eqMp sym 33 ref 6456 remove 562 ref subst appThm 6479 remove 6480 remove 562 ref subst appThm appThm nil 166 ref 6455 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 112 ref 6483 remove cons 6487 def 6481 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 6421 remove appTerm 6488 def betaConv 255 ref nil 256 ref 68 ref 6488 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 6452 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 6487 remove 114 ref 6468 remove cons 261 ref 6469 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 112 ref 6462 remove cons 6489 def 6460 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 6419 ref appTerm 6490 def betaConv 255 ref nil 256 ref 68 ref 6490 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 6419 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 6489 remove 114 ref 6442 remove cons 261 ref 6439 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 6491 def nil 288 ref 6390 ref 288 ref 6391 ref 812 ref 6392 ref 812 ref 6393 ref 787 ref 6403 remove appTerm 6400 remove appTerm absTerm 6492 def appTerm 6493 def absTerm 6494 def appTerm 6495 def absTerm 6496 def appTerm 6497 def absTerm 6498 def appTerm 6499 def thm 292 ref 6390 ref 1522 ref 6392 ref 292 ref 6391 ref 1522 ref 6393 ref 33 ref nil 6405 remove 6406 remove nil cons cons nil cons cons 6500 def 742 ref 619 ref subst subst 787 ref refl 6501 def 6492 ref 6398 ref appTerm 6502 def betaConv 6494 ref 6397 ref appTerm 6503 def betaConv 6496 ref 6395 ref appTerm 6504 def betaConv 6498 ref 6394 ref appTerm 6505 def betaConv 6491 remove nil 67 ref 6499 remove nil cons cons 68 ref 6505 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 6498 remove nil cons cons 356 ref 6409 ref cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6497 remove nil cons cons 68 ref 6504 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 6496 remove nil cons cons 356 ref 6413 ref cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6495 remove nil cons cons 68 ref 6503 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 6494 remove nil cons cons 821 ref 6407 ref cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6493 remove nil cons cons 68 ref 6502 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 6492 remove nil cons cons 821 ref 6411 ref cons nil cons cons nil cons cons 161 ref subst eqMp eqMp appThm 1512 ref refl 6506 def appThm nil 6415 remove 6416 remove nil cons cons nil cons cons 1603 remove subst trans trans appThm 1259 ref nil 6417 remove 6410 remove nil cons 6507 def cons nil cons cons 6508 def 619 ref subst appThm nil 6412 ref 6418 remove nil cons 6509 def cons nil cons cons 6510 def 897 ref 619 remove subst subst appThm appThm nil 166 ref 251 ref 27 ref 6396 remove appTerm 13 ref appTerm appTerm 1433 ref 6399 remove appTerm 1509 ref appTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 1600 ref trans absThm appThm 526 ref trans absThm appThm 1600 ref trans absThm appThm 526 ref trans sym 105 ref eqMp nil 288 ref 6390 ref 812 ref 6392 ref 288 ref 6391 ref 812 ref 6393 ref 23 ref 599 ref 786 ref constTerm 6401 ref appTerm 6402 ref appTerm appTerm 251 ref 600 remove 6394 ref appTerm 6395 ref appTerm appTerm 599 remove 1432 remove constTerm 6397 ref appTerm 6398 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 317 ref 4 ref 812 ref 783 ref 288 ref "s'" 3 ref var 6511 def 812 ref "t'" 731 ref var 6512 def 69 ref 75 ref 687 ref 6511 ref varTerm 6513 def appTerm 6514 def appTerm 5738 ref 6512 ref varTerm 6515 def appTerm 6516 def appTerm 6517 def appTerm 685 remove 786 remove constTerm 790 ref appTerm 736 ref 6513 ref appTerm 6515 ref appTerm 6518 def appTerm 6519 def appTerm 6520 def absTerm 6521 def appTerm 6522 def absTerm 6523 def appTerm 6524 def absTerm 6525 def appTerm 6526 def absTerm 6527 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 6526 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 6525 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 6524 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 6523 remove nil cons cons nil cons nil cons cons 327 ref subst 6511 ref nil 99 ref 6522 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 6521 remove nil cons cons nil cons nil cons cons 3128 ref subst 6512 ref nil 99 ref 6520 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6517 ref nil cons 6528 def cons 68 ref 6519 ref nil cons 6529 def cons nil cons cons nil cons cons 6530 def 86 ref subst 6530 remove 151 ref subst nil 112 ref 6514 ref nil cons 6531 def cons 114 ref 6516 ref nil cons 6532 def cons nil cons cons nil cons cons 6533 def 127 ref subst 6533 remove 347 ref subst 33 ref nil 727 ref 6518 ref nil cons cons 1525 remove cons nil cons cons 742 ref 700 ref subst subst 33 ref 747 ref 748 ref 69 ref 1526 remove appTerm refl 748 ref 753 ref 6518 remove appTerm absTerm 6534 def 752 ref appTerm betaConv appThm absThm appThm appThm 55 ref 41 ref 758 ref 795 ref 69 ref 808 ref appTerm 6535 def refl 6536 def 6534 ref 800 ref appTerm betaConv appThm absThm appThm absThm appThm appThm nil 766 ref 6534 remove nil cons cons nil cons nil cons cons 33 ref 747 ref 3731 ref 3731 remove 69 ref 3733 remove appTerm 3734 remove appTerm absTerm 6537 def 3732 remove appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 6537 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 6537 ref nil cons cons nil cons nil cons cons 780 ref subst eqMp 55 ref 452 ref 758 ref 759 ref 329 ref 1538 ref appThm 3741 remove appThm absThm appThm absThm appThm trans 6538 def subst eqMp trans 55 ref 41 ref 758 ref 795 ref 6536 remove nil 783 ref 6515 ref nil cons cons 6539 def 4 ref 6513 ref nil cons 6540 def cons nil cons cons nil cons cons 1537 ref subst appThm absThm appThm absThm appThm trans appThm 1604 ref 251 ref 1516 ref appTerm 6541 def refl 6542 def 544 ref nil 11 ref 6540 remove cons nil cons nil cons cons 700 ref subst appThm nil 6539 remove 1550 ref cons nil cons cons 3059 ref subst appThm appThm appThm appThm sym nil 3822 remove 68 ref 23 ref 54 ref 41 ref 757 ref 795 ref 6535 ref 75 ref 46 ref 6513 ref appTerm 6543 def appTerm 6544 def 806 ref 6515 ref appTerm 6545 def appTerm 6546 def appTerm 6547 def absTerm 6548 def appTerm 6549 def absTerm 6550 def appTerm 6551 def appTerm 6552 def 1514 ref 6541 ref 75 ref 54 ref 41 ref 690 ref 6543 ref appTerm 6553 def absTerm 6554 def appTerm 6555 def appTerm 6556 def 757 ref 872 ref 5760 ref 1552 ref 6515 ref appTerm 6557 def appTerm 6558 def absTerm 6559 def appTerm 6560 def appTerm 6561 def appTerm 6562 def appTerm appTerm nil cons 6563 def cons nil cons 6564 def cons nil cons cons 6565 def 86 ref subst 6565 remove 151 ref subst 6552 ref refl 6566 def 5960 remove 6562 ref refl appThm nil 99 ref 6562 ref nil cons cons nil cons nil cons cons 1308 ref subst trans appThm sym 4150 remove nil 4151 remove 68 ref 6552 ref 6562 remove appTerm 6567 def nil cons 6568 def cons nil cons 6569 def cons nil cons cons 136 ref subst proveHyp nil 144 ref "sx" 1 ref var 6570 def 69 ref 2035 remove 6570 ref varTerm 6571 def appTerm 6572 def appTerm 6567 ref appTerm 6573 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 6570 remove nil 99 ref 6573 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6572 ref nil cons 6574 def cons 6569 ref cons nil cons cons 6575 def 86 ref subst 6575 remove 151 ref subst 6572 ref betaConv 6572 remove assume eqMp nil 67 ref 44 ref 6571 ref appTerm 6576 def 28 ref appTerm 6577 def nil cons 6578 def cons 6569 ref cons nil cons cons 6579 def 136 ref subst proveHyp 6579 ref 86 ref subst 6579 remove 151 ref subst nil 3719 remove 6569 ref cons nil cons cons 6580 def 86 ref subst 6580 remove 151 ref subst 6566 remove 1259 ref 3784 remove appThm 6561 ref refl appThm nil 99 ref 6561 ref nil cons 6581 def cons nil cons nil cons cons 1308 ref subst trans appThm sym 3781 remove 897 ref 472 ref subst subst 3704 remove assume eqMp nil 67 ref 794 ref 872 ref 1553 ref absTerm 6582 def appTerm 6583 def nil cons cons 68 ref 6552 remove 6561 ref appTerm 6584 def nil cons 6585 def cons nil cons 6586 def cons nil cons cons 136 ref subst proveHyp nil 871 ref "tx" 721 ref var 6587 def 69 ref 6582 ref 6587 ref varTerm 6588 def appTerm 6589 def appTerm 6584 ref appTerm 6590 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 6587 remove nil 99 ref 6590 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6589 ref nil cons 6591 def cons 6586 ref cons nil cons cons 6592 def 86 ref subst 6592 remove 151 ref subst 6589 ref betaConv 6589 remove assume eqMp nil 67 ref 805 ref 6588 ref appTerm 6593 def 789 ref appTerm 6594 def nil cons 6595 def cons 6586 remove cons nil cons cons 6596 def 136 ref subst proveHyp 6596 ref 86 ref subst 6596 remove 151 ref subst nil 67 ref 6551 ref nil cons 6597 def cons 6598 def 68 ref 6581 ref cons nil cons cons nil cons cons 6599 def 348 ref subst 6599 ref 86 ref subst 6599 remove 151 ref subst nil 144 ref 6554 ref nil cons cons 6600 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6553 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 6543 ref nil cons 6601 def cons nil cons 6602 def cons nil cons cons 6603 def 86 ref subst 6603 ref 151 ref subst 6548 ref 6588 ref appTerm 6604 def betaConv 6550 ref 45 ref appTerm 6605 def betaConv nil 6598 ref 68 ref 6605 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 6550 ref nil cons cons 6606 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6549 remove nil cons 6607 def cons 68 ref 6604 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 6548 remove nil cons cons 6608 def 872 ref 6588 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 621 ref 6594 ref appTerm appTerm 6544 remove 6593 remove 6515 ref appTerm 6609 def appTerm 6610 def appTerm nil cons cons 6602 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 1923 ref nil 99 ref 6595 ref cons nil cons nil cons cons 106 ref subst 6594 remove assume eqMp appThm 941 ref trans appThm 6610 ref refl appThm nil 99 ref 6610 remove nil cons 6611 def cons nil cons nil cons cons 2033 ref subst trans appThm 6543 ref refl 6612 def appThm sym nil 67 ref 6611 ref cons 6602 remove cons nil cons cons 6613 def 86 ref subst 6613 remove 151 ref subst nil 112 ref 6601 ref cons 114 ref 6609 remove nil cons cons nil cons cons nil cons cons 127 ref subst eqMp nil 112 ref 6611 remove cons 114 ref 6601 ref cons nil cons 6614 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 1731 ref 6614 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 6555 remove nil cons 6615 def cons 6616 def 68 ref 6560 ref nil cons 6617 def cons nil cons cons nil cons cons 151 ref subst proveHyp nil 871 ref 6559 ref nil cons cons 6618 def nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 6558 remove nil cons cons nil cons nil cons cons 106 ref subst nil 5919 ref 68 ref 6557 ref nil cons 6619 def cons nil cons 6620 def cons nil cons cons 6621 def 86 ref subst 6621 remove 151 ref subst 795 ref 69 ref 75 ref 6577 ref appTerm 6622 def 807 ref appTerm appTerm 75 ref 6576 remove 6513 remove appTerm 6623 def appTerm 6624 def 6545 ref appTerm appTerm absTerm 6625 def 910 ref appTerm 6626 def betaConv 6550 remove 6571 ref appTerm 6627 def betaConv nil 6598 remove 68 ref 6627 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 6606 ref 41 ref 6571 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 757 ref 6625 ref appTerm nil cons cons 68 ref 6626 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 6625 remove nil cons cons 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 6622 remove 1553 ref appTerm appTerm 6624 remove 6557 ref appTerm 6628 def appTerm nil cons cons 6620 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 544 ref nil 99 ref 6578 ref cons nil cons nil cons cons 106 ref subst 6577 remove assume eqMp appThm 4809 ref appThm 941 ref trans appThm 6628 ref refl appThm nil 99 ref 6628 remove nil cons 6629 def cons nil cons nil cons cons 2033 ref subst trans appThm 6557 ref refl 6630 def appThm sym nil 67 ref 6629 ref cons 6620 remove cons nil cons cons 6631 def 86 ref subst 6631 remove 151 ref subst nil 112 ref 6623 remove nil cons cons 114 ref 6619 ref cons nil cons 6632 def cons nil cons cons 347 ref subst eqMp nil 112 ref 6629 remove cons 6632 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 5945 ref 6632 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 6597 ref cons 114 ref 6581 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 6551 ref appTerm 6561 ref appTerm nil cons cons 68 ref 69 ref 6561 remove appTerm 6551 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 6581 ref cons 68 ref 6597 ref cons nil cons cons nil cons cons 6633 def 86 ref subst 6633 remove 151 ref subst nil 112 ref 6615 ref cons 114 ref 6617 ref cons nil cons cons nil cons cons 6634 def 127 ref subst 6634 remove 347 ref subst nil 6606 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6607 remove cons nil cons nil cons cons 106 ref subst nil 6608 remove nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 6547 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6389 ref cons 6635 def 68 ref 6546 ref nil cons 6636 def cons nil cons cons nil cons cons 6637 def 86 ref subst 6637 remove 151 ref subst nil 1731 ref 3864 ref cons nil cons cons 6638 def 127 ref subst 6639 def 6638 remove 347 ref subst 6640 def 6603 remove 136 ref subst 6554 remove 45 ref appTerm 6641 def betaConv nil 6616 remove 68 ref 6641 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 6600 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp nil 67 ref 6601 ref cons 68 ref 6545 remove nil cons cons nil cons 6642 def cons nil cons cons 151 ref subst proveHyp nil 3867 ref 6642 remove cons nil cons cons 136 ref subst 3873 ref 6559 ref 910 ref appTerm 6643 def betaConv nil 67 ref 6617 ref cons 68 ref 6643 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 6618 remove 3115 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 6389 ref cons 6644 def 114 ref 6636 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 6581 remove cons 114 ref 6597 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 6595 remove cons 114 ref 6585 remove cons nil cons 6645 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6591 remove cons 6645 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 6582 ref 910 ref appTerm appTerm 6584 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 6583 remove appTerm 6584 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 6582 remove nil cons cons 6645 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 3785 remove 114 ref 6568 ref cons nil cons 6646 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 3707 remove 6569 remove cons nil cons cons 6647 def 86 ref subst 6647 remove 151 ref subst 23 ref "_11744" 731 ref var 6648 def 23 ref 54 ref 41 ref 757 ref 795 ref 69 ref 621 ref 806 ref 6648 remove varTerm 6649 def appTerm appTerm appTerm 6546 ref appTerm absTerm appTerm absTerm appTerm appTerm 251 ref 1433 ref 6649 ref appTerm 1509 ref appTerm appTerm 6556 ref 757 ref 872 ref 69 ref 1552 ref 6649 remove appTerm appTerm 6557 ref appTerm absTerm appTerm appTerm appTerm appTerm absTerm 6650 def 789 ref appTerm 6651 def appTerm refl 6650 ref 1509 ref appTerm betaConv appThm 33 ref 6651 remove betaConv appThm 23 ref 54 ref 41 ref 757 ref 795 ref 69 ref 621 ref 806 ref 1509 ref appTerm appTerm appTerm 6546 ref appTerm absTerm appTerm absTerm appTerm appTerm 251 ref 1433 ref 1509 ref appTerm 1509 ref appTerm appTerm 6556 ref 757 ref 872 ref 69 ref 1552 ref 1509 ref appTerm appTerm 6557 remove appTerm absTerm appTerm appTerm appTerm appTerm refl appThm trans 6650 remove refl 3712 remove appThm eqMp sym 33 ref 55 ref 41 ref 758 ref 795 ref 329 ref 1357 ref 3873 remove 1554 ref subst appThm 1365 ref trans appThm 6546 ref refl 6652 def appThm nil 99 ref 6636 remove cons nil cons nil cons cons 524 ref subst 6653 def trans absThm appThm 947 ref trans absThm appThm 377 ref trans appThm 1259 ref 1607 ref appThm 6556 remove refl 758 ref 872 ref 329 ref 1554 ref appThm 6654 def 6630 remove appThm nil 99 ref 6619 remove cons nil cons nil cons cons 524 ref subst trans absThm appThm 947 ref trans appThm nil 99 ref 6615 remove cons nil cons nil cons cons 6655 def 1362 ref subst trans appThm 6655 remove 1351 ref subst trans appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 3716 ref 6646 ref cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 1516 remove appTerm 6656 def betaConv 1384 ref nil 1385 ref 68 ref 6656 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 166 ref 3706 ref cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 3716 remove 114 ref 3718 remove cons 261 ref 6568 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 6578 remove cons 6646 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6574 remove cons 6646 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 4153 remove 6567 ref appTerm absTerm appTerm nil cons cons 68 ref 4187 remove 6567 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 4188 remove 6646 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 3877 remove 114 ref 6563 ref cons nil cons 6657 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 3808 ref 6564 remove cons nil cons cons 6658 def 86 ref subst 6658 remove 151 ref subst 23 ref "_11742" 3 ref var 6659 def 23 ref 54 ref 41 ref 757 ref 795 ref 69 ref 75 ref 46 ref 6659 remove varTerm 6660 def appTerm 6661 def appTerm 807 ref appTerm appTerm 6546 ref appTerm absTerm appTerm absTerm appTerm appTerm 251 ref 27 ref 6660 remove appTerm 13 ref appTerm appTerm 6541 ref 75 ref 54 ref 41 ref 69 ref 6661 remove appTerm 6543 ref appTerm absTerm appTerm appTerm 6560 ref appTerm appTerm appTerm appTerm absTerm 6662 def 28 ref appTerm 6663 def appTerm refl 6662 ref 13 ref appTerm betaConv appThm 33 ref 6663 remove betaConv appThm 23 ref 54 ref 41 ref 757 ref 795 ref 69 ref 75 ref 950 ref appTerm 6664 def 807 ref appTerm appTerm 6546 remove appTerm absTerm appTerm absTerm appTerm appTerm 6017 remove 6541 ref 75 ref 54 ref 41 ref 69 ref 950 remove appTerm 6665 def 6543 remove appTerm absTerm appTerm appTerm 6560 ref appTerm appTerm appTerm appTerm refl appThm trans 6662 remove refl 3813 ref appThm eqMp sym 33 ref 55 ref 41 ref 758 ref 795 ref 329 ref 633 ref 3827 ref appThm 3779 remove 549 ref subst 6666 def trans appThm 6652 remove appThm 6653 remove trans absThm appThm 947 ref trans absThm appThm 377 ref trans appThm 1620 remove 6542 ref 544 ref 55 ref 41 ref 701 ref 6612 remove appThm nil 99 ref 6601 remove cons nil cons nil cons cons 524 ref subst trans absThm appThm 377 ref trans appThm 758 ref 6559 remove refl appThm appThm nil 99 ref 6617 remove cons nil cons nil cons cons 562 ref subst trans appThm appThm nil 99 ref 6541 ref 6560 remove appTerm nil cons cons nil cons nil cons cons 1351 ref subst trans appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 3819 ref 6657 remove cons nil cons cons 127 ref subst deductAntisym eqMp 6022 remove nil 3819 ref 6023 remove 261 ref 6563 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp 6667 def 1604 remove 6542 remove 544 ref nil 99 ref 6531 remove cons nil cons nil cons cons 106 ref subst 6514 remove assume eqMp appThm nil 99 ref 6532 remove cons nil cons nil cons cons 106 ref subst 6516 remove assume eqMp appThm 941 ref trans appThm nil 99 ref 3706 remove cons nil cons nil cons cons 1612 ref subst trans appThm 1613 remove trans trans sym 105 ref eqMp proveHyp proveHyp eqMp nil 112 ref 6528 remove cons 114 ref 6529 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 6527 remove appTerm thm 6326 remove nil 288 ref 6252 remove appTerm thm nil 317 ref 4 ref 53 ref 18 ref 18 ref 2897 ref 20 ref cons opType 6668 def 20 ref cons opType constTerm 6669 def "f" 2897 ref var 6670 def 787 ref 788 ref 2899 ref 6670 ref varTerm 6671 def appTerm 6672 def appTerm 6673 def appTerm 529 ref 18 ref 0 ref 732 ref opType 6674 def 732 ref cons opType 6675 def constTerm 6676 def 423 ref 18 ref 749 ref 6674 ref nil cons cons opType constTerm 6677 def "v" 726 ref var 6678 def 2909 ref 783 ref 75 ref 787 ref 6678 ref varTerm appTerm 6679 def 790 ref appTerm appTerm 6680 def 42 ref 18 ref 731 ref 6668 ref nil cons 6681 def cons opType constTerm 6682 def 789 ref appTerm 6683 def 6671 ref appTerm 6684 def appTerm absTerm appTerm absTerm appTerm 6685 def appTerm 6686 def appTerm 6687 def absTerm 6688 def appTerm 6689 def absTerm 6690 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 6689 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 6668 remove var 6691 def 6688 remove nil cons cons nil cons nil cons cons "A" 2900 ref cons nil cons 218 ref cons 326 ref subst 6692 def subst 6670 ref nil 99 ref 6687 remove nil cons cons nil cons nil cons cons 106 ref subst nil 727 ref 6686 ref nil cons cons 729 ref 6673 ref nil cons cons nil cons cons nil cons cons 743 ref subst sym 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 6673 remove appTerm appTerm 753 ref 6686 remove appTerm appTerm absTerm 6693 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 6693 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 6693 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp 55 ref 452 ref 758 ref 759 ref 33 ref nil 783 ref 6672 remove nil cons cons 1529 ref cons nil cons cons 1537 ref subst 5216 ref nil 2907 ref 6671 ref nil cons cons 6694 def 874 ref cons nil cons cons 2908 ref subst appThm trans appThm nil "s" 6674 ref var 6695 def 6685 ref nil cons cons 842 ref cons nil cons cons 742 ref 542 ref subst 6696 def subst 33 ref 36 ref 18 ref 749 ref 20 ref cons opType constTerm refl 6697 def 727 ref 544 ref 42 ref 18 ref 726 ref 18 ref 6674 remove 20 ref cons opType nil cons cons opType constTerm 727 ref varTerm 6698 def appTerm refl 6699 def 6677 ref refl 6700 def 6678 ref 2910 ref 783 ref 544 ref 6679 ref refl 6701 def 783 ref 790 ref absTerm 6702 def 789 ref appTerm 6703 def betaConv 6704 def appThm appThm 783 ref 6684 ref absTerm 6705 def 789 ref appTerm betaConv 6706 def appThm absThm appThm absThm appThm 6707 def appThm appThm 727 ref 781 ref 6698 ref appTerm absTerm 6708 def 6698 remove appTerm betaConv 6709 def appThm absThm appThm appThm 2910 ref 783 ref 544 ref 6706 ref appThm 6708 ref 6703 remove appTerm betaConv appThm absThm appThm appThm nil "f" 733 remove var 6710 def 6702 remove nil cons cons 6711 def 2962 ref 6705 remove nil cons cons 6712 def "q" 749 ref var 6708 ref nil cons cons nil cons 6713 def cons cons nil cons cons 818 ref "B" 732 ref cons nil cons 6714 def cons 218 ref cons 1565 ref 23 ref 794 ref 3672 ref 75 ref 805 ref 3673 ref appTerm 6715 def 1435 ref 1436 ref 39 ref 41 ref 6053 remove 58 ref appTerm absTerm appTerm absTerm 6716 def appTerm 6717 def appTerm 6718 def appTerm 1565 ref varTerm 6719 def 3673 ref appTerm 6720 def appTerm absTerm appTerm appTerm 39 ref 41 ref 2932 remove 6719 ref 1412 ref appTerm 6721 def appTerm 6722 def absTerm 6723 def appTerm 6724 def appTerm absTerm 6725 def 6719 ref appTerm 6726 def betaConv 1403 ref 53 ref 18 ref 756 ref 20 ref cons opType constTerm 6727 def 6725 ref appTerm 6728 def absTerm 6729 def 1406 ref appTerm 6730 def betaConv 56 ref 1422 ref 6729 ref appTerm 6731 def absTerm 6732 def 57 ref appTerm 6733 def betaConv 442 ref 56 ref 1429 ref 1403 ref 6727 ref refl 6734 def 1565 ref 33 ref 826 ref 3672 ref 544 ref nil 1461 ref 6716 ref nil cons cons 6735 def 872 ref 3675 ref cons nil cons 6736 def cons nil cons cons 1631 ref subst 6716 ref 3673 ref appTerm betaConv trans 6737 def appThm 6720 ref refl 6738 def appThm absThm appThm appThm 6724 ref refl appThm absThm appThm absThm appThm absThm appThm sym nil 140 ref 56 ref 1422 ref 1403 ref 6727 ref 1565 ref 23 ref 794 ref 3672 ref 75 ref 39 ref 41 ref 75 ref 853 ref 3673 ref appTerm 6739 def 1412 ref appTerm 6740 def appTerm 6741 def 58 ref appTerm 6742 def absTerm 6743 def appTerm 6744 def appTerm 6720 ref appTerm 6745 def absTerm 6746 def appTerm 6747 def appTerm 6724 ref appTerm 6748 def absTerm 6749 def appTerm 6750 def absTerm 6751 def appTerm 6752 def absTerm nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 6752 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 6751 remove nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 6750 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 756 remove var 6753 def 6749 remove nil cons cons nil cons nil cons cons "A" 835 remove cons nil cons 6754 def 218 ref cons 326 ref subst 6755 def subst 1565 ref nil 99 ref 6748 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6747 ref nil cons 6756 def cons 68 ref 6724 ref nil cons 6757 def cons nil cons 6758 def cons nil cons cons 348 ref subst nil 871 ref 3672 ref 69 ref 6746 ref 3673 ref appTerm 6759 def appTerm 6724 ref appTerm 6760 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 3672 ref nil 99 ref 6760 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6759 ref nil cons 6761 def cons 6758 ref cons nil cons cons 6762 def 86 ref subst 6762 remove 151 ref subst 6759 ref betaConv 6759 remove assume eqMp nil 67 ref 6745 remove nil cons 6763 def cons 6758 ref cons nil cons cons 6764 def 136 ref subst proveHyp 6764 ref 86 ref subst 6764 remove 151 ref subst nil 112 ref 6744 ref nil cons 6765 def cons 114 ref 6720 ref nil cons 6766 def cons nil cons 6767 def cons nil cons cons 6768 def 127 ref subst 6768 remove 347 ref subst nil 67 ref 6765 remove cons 6758 ref cons nil cons cons 136 ref subst nil 144 ref 41 ref 69 ref 6743 ref 45 ref appTerm 6769 def appTerm 6770 def 6724 ref appTerm 6771 def absTerm 6772 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6771 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6769 ref nil cons 6773 def cons 6774 def 6758 ref cons nil cons cons 6775 def 86 ref subst 6775 remove 151 ref subst 6769 ref betaConv 6769 remove assume eqMp 6776 def nil 67 ref 6742 remove nil cons 6777 def cons 6778 def 6758 remove cons nil cons cons 6779 def 136 ref subst proveHyp 6779 ref 86 ref subst 6779 remove 151 ref subst nil 112 ref 6740 ref nil cons cons 6780 def 6047 ref cons nil cons cons 6781 def 127 ref subst 6782 def 6781 remove 347 ref subst 6783 def 6723 ref 45 ref appTerm 6784 def betaConv 6785 def sym 544 ref nil 99 ref 6046 ref cons nil cons nil cons cons 6786 def 106 ref subst 58 ref assume 6787 def eqMp 6788 def appThm 23 ref "_10681" 721 ref var 6789 def 6719 ref 6789 remove varTerm appTerm absTerm 6790 def 3673 ref appTerm 6791 def appTerm refl 6790 ref 1412 ref appTerm betaConv appThm 33 ref 6791 remove betaConv appThm 6721 ref refl appThm trans 6790 remove refl 6740 remove assume 6792 def appThm eqMp sym 6793 def nil 99 ref 6766 ref cons nil cons nil cons cons 106 ref subst 6720 ref assume eqMp trans appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 6723 remove nil cons cons 6794 def 311 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 6777 remove cons 6795 def 114 ref 6757 remove cons nil cons 6796 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6773 remove cons 6797 def 6796 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 6772 remove appTerm nil cons cons 68 ref 69 ref 6744 remove appTerm 6798 def 6724 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 6743 remove nil cons cons 6799 def 6796 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 6763 remove cons 6796 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6761 remove cons 6796 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 6746 ref 910 ref appTerm appTerm 6724 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 6747 ref appTerm 6724 ref appTerm nil cons 6800 def cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 6746 ref nil cons cons 6801 def 6796 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 6800 remove cons 68 ref 69 ref 6724 remove appTerm 6747 ref appTerm nil cons cons nil cons 6802 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 41 ref 69 ref 6784 ref appTerm 6747 remove appTerm 6803 def absTerm 6804 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6803 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6784 ref nil cons 6805 def cons 68 ref 6756 ref cons nil cons 6806 def cons nil cons cons 6807 def 86 ref subst 6807 remove 151 ref subst 6785 remove 6784 remove assume eqMp nil 67 ref 6722 remove nil cons 6808 def cons 6806 remove cons nil cons cons 6809 def 136 ref subst proveHyp 6809 ref 86 ref subst 6809 remove 151 ref subst nil 112 ref 6046 ref cons 6810 def 114 ref 6721 ref nil cons 6811 def cons nil cons cons nil cons cons 6812 def 127 ref subst 6813 def 6812 remove 347 ref subst 6746 remove 1412 ref appTerm betaConv sym 75 ref 39 ref 1134 ref 2441 ref 4797 ref appTerm absTerm 6814 def appTerm 6815 def appTerm refl nil 99 ref 6811 ref cons nil cons nil cons cons 106 ref subst 6721 ref assume eqMp appThm nil 99 ref 6815 remove nil cons 6816 def cons nil cons nil cons cons 1362 ref subst trans sym 6814 ref 45 ref appTerm betaConv sym 2454 ref 6788 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 6814 remove nil cons cons 311 ref cons nil cons cons 594 ref subst proveHyp 6817 def eqMp eqMp 870 ref 6801 remove 2448 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 6808 remove cons 114 ref 6756 remove cons nil cons 6818 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6805 remove cons 6818 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 6804 remove appTerm nil cons cons 6802 remove cons nil cons cons 136 ref subst proveHyp 309 ref 6794 remove 6818 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 6819 def nil 67 ref 65 ref 6732 ref appTerm 6820 def nil cons cons 68 ref 6733 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 6732 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6731 remove nil cons cons 68 ref 6730 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 6729 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6728 remove nil cons cons 68 ref 6726 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 6754 ref 6753 ref 6725 remove nil cons cons "x" 755 ref var 6821 def 6719 ref nil cons cons nil cons 6822 def cons nil cons cons 161 ref subst eqMp eqMp 6823 def subst subst eqMp trans 2910 ref 783 ref 75 ref 6684 ref appTerm 6824 def refl 6825 def 782 ref 6704 ref appThm 1538 ref trans appThm absThm appThm trans appThm absThm appThm absThm appThm trans sym nil 144 ref 452 ref 757 ref 759 ref 23 ref 1541 ref 2909 ref 783 ref 6824 ref 1543 ref appTerm absTerm appTerm 6826 def appTerm appTerm 2909 ref 783 ref 6824 ref 1544 ref appTerm absTerm appTerm appTerm 6827 def absTerm 6828 def appTerm 6829 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 6829 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 6828 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 6827 remove nil cons 6830 def cons nil cons nil cons cons 106 ref subst nil 5242 remove 68 ref 6830 ref cons nil cons 6831 def cons nil cons cons 6832 def 86 ref subst 6832 remove 151 ref subst 23 ref "_11916" 19 ref var 6833 def 23 ref 75 ref 6833 remove varTerm appTerm 6834 def 6826 ref appTerm appTerm 2909 ref 783 ref 6824 ref 6834 remove 1543 ref appTerm appTerm absTerm appTerm appTerm absTerm 6835 def 1540 ref appTerm 6836 def appTerm refl 6837 def 6835 ref 171 ref appTerm betaConv appThm 33 ref 6836 remove betaConv appThm 6838 def 23 ref 545 ref 6826 ref appTerm appTerm 2909 ref 783 ref 6824 ref 5251 remove appTerm absTerm appTerm appTerm refl appThm trans 6835 remove refl 6839 def 5255 remove appThm eqMp sym 33 ref nil 99 ref 6826 ref nil cons 6840 def cons nil cons nil cons cons 6841 def 549 ref subst appThm 2910 ref 783 ref 6825 ref 5259 remove appThm nil 99 ref 6684 ref nil cons cons nil cons nil cons cons 6842 def 1106 ref subst trans absThm appThm 552 remove 1599 ref 480 remove subst 6843 def subst trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 5264 remove 114 ref 6830 ref cons nil cons 6844 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 5268 remove 6831 remove cons nil cons cons 6845 def 86 ref subst 6845 remove 151 ref subst 6837 remove "_11914" 19 ref var 6846 def 23 ref 75 ref 6846 remove varTerm appTerm 6847 def 6826 ref appTerm appTerm 2909 ref 783 ref 6824 ref 6847 remove 1543 ref appTerm appTerm absTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 6838 remove 23 ref 558 ref 6826 remove appTerm appTerm 2909 ref 783 ref 6824 remove 5272 remove appTerm absTerm appTerm appTerm refl appThm trans 6839 remove 5275 remove appThm eqMp sym 33 ref 6841 remove 562 ref subst appThm 2910 ref 783 ref 6825 remove 5276 ref appThm absThm appThm appThm nil 166 ref 6840 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 5279 ref 6844 remove cons nil cons cons 127 ref subst deductAntisym eqMp 5282 remove nil 5279 remove 5283 remove 261 ref 6830 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 6690 remove appTerm thm 1429 ref 1403 ref 1522 ref 1548 ref 292 ref 11 ref 33 ref nil 4448 ref nil cons nil cons cons 6848 def 3059 ref subst 6849 def 758 ref 872 ref 69 ref 1552 ref 1617 ref appTerm 6850 def appTerm 6851 def refl 4450 ref appThm absThm appThm trans 6852 def appThm 543 ref 494 ref 544 ref 6274 ref 700 ref subst appThm nil 783 ref 1407 ref 498 ref appTerm 6853 def nil cons cons nil cons nil cons cons 1551 ref subst 758 ref 872 ref 23 ref 6850 ref appTerm 6854 def refl 6855 def nil 5099 ref 2408 ref cons nil cons cons 1469 ref subst appThm absThm appThm trans appThm absThm appThm appThm absThm appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 812 ref 1548 ref 288 ref 11 ref 23 ref 757 ref 872 ref 6851 ref 4454 ref appTerm 6856 def absTerm 6857 def appTerm 6858 def appTerm 534 ref 494 ref 75 ref 54 ref 41 ref 69 ref 501 ref appTerm 6859 def 47 ref appTerm absTerm 6860 def appTerm 6861 def appTerm 757 ref 872 ref 6854 ref 39 ref 41 ref 2413 ref 501 ref appTerm absTerm 6862 def appTerm 6863 def appTerm 6864 def absTerm 6865 def appTerm 6866 def appTerm 6867 def absTerm 6868 def appTerm 6869 def appTerm 6870 def absTerm 6871 def appTerm 6872 def absTerm 6873 def appTerm 6874 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 6874 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 6873 remove nil cons cons nil cons nil cons cons 3128 ref subst 1548 ref nil 99 ref 6872 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 6871 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 6870 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6858 ref nil cons 6875 def cons 6876 def 68 ref 6869 ref nil cons 6877 def cons nil cons cons nil cons cons 6878 def 348 ref subst 6878 ref 86 ref subst 6878 remove 151 ref subst 6868 ref 425 ref 426 ref 39 ref 41 ref 428 ref 653 ref 3531 ref 1617 ref appTerm 6879 def appTerm appTerm absTerm appTerm absTerm 6880 def appTerm 6881 def appTerm betaConv sym 544 ref 55 ref 41 ref 329 ref nil 56 ref 6880 ref nil cons cons nil cons nil cons cons 449 ref subst 6880 remove 45 ref appTerm betaConv trans 6882 def appThm 368 ref appThm absThm appThm appThm 758 ref 872 ref 6855 ref 40 ref 41 ref 2906 ref 6882 remove appThm absThm appThm appThm absThm appThm appThm sym nil 144 ref 41 ref 69 ref 39 ref 1134 ref 1473 ref 4196 remove 805 ref 2439 ref appTerm 6883 def 1617 ref appTerm 6884 def appTerm 6885 def appTerm 6886 def absTerm 6887 def appTerm 6888 def appTerm 47 ref appTerm 6889 def absTerm 6890 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 6889 remove nil cons 6891 def cons nil cons nil cons cons 106 ref subst nil 144 ref 1134 ref 69 ref 6887 ref 1137 ref appTerm 6892 def appTerm 47 ref appTerm 6893 def absTerm 6894 def nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 6893 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6892 ref nil cons 6895 def cons 1017 ref cons nil cons cons 6896 def 86 ref subst 6896 remove 151 ref subst 6892 ref betaConv 6892 remove assume eqMp nil 67 ref 6886 remove nil cons 6897 def cons 1017 ref cons nil cons cons 6898 def 136 ref subst proveHyp 6898 ref 86 ref subst 6898 remove 151 ref subst nil 112 ref 3771 ref cons 6899 def 114 ref 6885 remove nil cons cons nil cons cons nil cons cons 6900 def 127 ref subst 6900 remove 347 ref subst nil 4221 ref 114 ref 6884 remove nil cons cons nil cons cons nil cons cons 127 ref subst 3774 remove 1036 ref appThm 3009 ref trans sym 105 ref eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 6897 remove cons 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6895 remove cons 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 6894 remove appTerm nil cons cons 68 ref 6891 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 6887 remove nil cons cons 1727 ref cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp nil 67 ref 54 ref 6890 remove appTerm nil cons cons 68 ref 757 ref 872 ref 6854 ref 39 ref 41 ref 2413 ref 6888 remove appTerm absTerm 6901 def appTerm 6902 def appTerm 6903 def absTerm 6904 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 871 ref 6904 remove nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 6903 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6850 ref nil cons 6905 def cons 6906 def 68 ref 6902 ref nil cons 6907 def cons nil cons 6908 def cons nil cons cons 6909 def 348 ref subst 6909 ref 86 ref subst 6909 remove 151 ref subst 6857 ref 910 ref appTerm 6910 def betaConv nil 6876 ref 68 ref 6910 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 6857 ref nil cons cons 6911 def 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6856 remove nil cons 6912 def cons 6908 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 6905 ref cons nil cons nil cons cons 106 ref subst 6850 ref assume eqMp 6913 def appThm 6914 def 4454 ref refl 6915 def appThm nil 99 ref 4471 ref cons nil cons nil cons cons 2033 ref subst 6916 def trans appThm 6902 ref refl appThm sym nil 144 ref 1134 ref 69 ref 4478 ref appTerm 6902 ref appTerm 6917 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 6917 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4478 ref nil cons 6918 def cons 6908 ref cons nil cons cons 6919 def 86 ref subst 6919 remove 151 ref subst 4479 remove 4478 remove assume eqMp nil 67 ref 2460 ref 1261 ref appTerm nil cons 6920 def cons 6908 remove cons nil cons cons 6921 def 136 ref subst proveHyp 6921 ref 86 ref subst 6921 remove 151 ref subst nil 2467 ref 3000 remove cons nil cons cons 6922 def 127 ref subst 6922 remove 347 ref subst 6901 ref 1137 ref appTerm 6923 def betaConv 6924 def sym 4481 ref 39 ref 2812 ref 75 ref 1199 ref 2813 ref appTerm 6925 def appTerm 6926 def 75 ref 3043 ref appTerm 805 ref 2823 ref appTerm 6927 def 1617 ref appTerm 6928 def appTerm 6929 def appTerm 6930 def absTerm 6931 def appTerm 6932 def refl appThm nil 99 ref 6932 ref nil cons 6933 def cons nil cons nil cons cons 562 ref subst trans sym 6931 ref 1137 ref appTerm betaConv sym 544 ref 1269 ref 224 ref subst 6934 def appThm 6935 def 4215 remove 3146 ref 3002 ref sym 6936 def appThm 1617 ref refl 6937 def appThm 6913 ref trans appThm 941 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 6931 ref nil cons cons 6938 def 1139 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 309 ref 144 ref 6901 ref nil cons cons 6939 def 1139 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 6920 remove cons 114 ref 6907 remove cons nil cons 6940 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6918 remove cons 6940 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 5580 remove appTerm 6941 def 6902 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 4454 ref appTerm 6942 def 6902 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 4485 ref 6940 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 112 ref 6905 ref cons 6943 def 6940 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 6851 ref 6902 ref appTerm nil cons cons 68 ref 69 ref 6902 remove appTerm 6850 ref appTerm nil cons cons nil cons 6944 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 1134 ref 69 ref 6923 ref appTerm 6850 ref appTerm 6945 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 6945 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6923 ref nil cons 6946 def cons 68 ref 6905 ref cons nil cons 6947 def cons nil cons cons 6948 def 86 ref subst 6948 remove 151 ref subst 6924 remove 6923 remove assume eqMp nil 67 ref 2460 ref 6932 ref appTerm nil cons 6949 def cons 6947 ref cons nil cons cons 6950 def 136 ref subst proveHyp 6950 ref 86 ref subst 6950 remove 151 ref subst nil 2467 ref 114 ref 6933 ref cons nil cons cons nil cons cons 6951 def 127 ref subst 6951 remove 347 ref subst nil 67 ref 6933 remove cons 6947 ref cons nil cons cons 136 ref subst nil 144 ref 2812 ref 69 ref 6931 ref 2813 ref appTerm 6952 def appTerm 6850 ref appTerm 6953 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 2812 ref nil 99 ref 6953 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6952 ref nil cons 6954 def cons 6947 ref cons nil cons cons 6955 def 86 ref subst 6955 remove 151 ref subst 6952 ref betaConv 6952 remove assume eqMp nil 67 ref 6930 remove nil cons 6956 def cons 6947 remove cons nil cons cons 6957 def 136 ref subst proveHyp 6957 ref 86 ref subst 6957 remove 151 ref subst nil 112 ref 6925 ref nil cons 6958 def cons 6959 def 114 ref 6929 remove nil cons cons nil cons cons nil cons cons 6960 def 127 ref subst 6960 remove 347 ref subst nil 112 ref 3043 ref nil cons 6961 def cons 114 ref 6928 ref nil cons 6962 def cons nil cons cons nil cons cons 347 ref subst 3146 ref 3002 ref 2855 ref 6925 remove assume 6963 def appThm trans 6964 def appThm 6937 ref appThm nil 99 ref 6962 remove cons nil cons nil cons cons 106 ref subst 6928 remove assume eqMp trans sym 105 ref eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 6956 remove cons 114 ref 6905 remove cons nil cons 6965 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6954 remove cons 6965 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 6931 remove 45 ref appTerm appTerm 6850 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 6932 remove appTerm 6850 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 6938 remove 6965 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 6949 remove cons 6965 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6946 remove cons 6965 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 6901 remove 45 ref appTerm appTerm 6850 ref appTerm absTerm appTerm nil cons cons 6944 remove cons nil cons cons 136 ref subst proveHyp 309 ref 6939 remove 6965 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp 324 ref 317 ref 6868 ref nil cons cons 6966 def 356 ref 6881 remove nil cons cons nil cons cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 6875 ref cons 6967 def 114 ref 6877 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 6858 ref appTerm 6869 ref appTerm nil cons cons 68 ref 69 ref 6869 remove appTerm 6858 ref appTerm nil cons cons nil cons 6968 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 494 ref 69 ref 6868 ref 498 ref appTerm 6969 def appTerm 6858 ref appTerm 6970 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 6970 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6969 ref nil cons 6971 def cons 68 ref 6875 ref cons nil cons 6972 def cons nil cons cons 6973 def 86 ref subst 6973 remove 151 ref subst 6969 ref betaConv 6969 remove assume eqMp nil 67 ref 6867 remove nil cons 6974 def cons 6972 remove cons nil cons cons 6975 def 136 ref subst proveHyp 6975 ref 86 ref subst 6975 remove 151 ref subst nil 112 ref 6861 remove nil cons 6976 def cons 114 ref 6866 remove nil cons 6977 def cons nil cons cons nil cons cons 6978 def 127 ref subst 6978 remove 347 ref subst nil 6911 ref nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 6912 remove cons nil cons nil cons cons 106 ref subst nil 6906 ref 4472 ref cons nil cons cons 6979 def 86 ref subst 6979 remove 151 ref subst 6865 ref 910 ref appTerm 6980 def betaConv nil 67 ref 6977 remove cons 68 ref 6980 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 6865 remove nil cons cons 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6864 remove nil cons cons 4472 ref cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 6913 remove appThm 6863 ref refl appThm nil 99 ref 6863 ref nil cons cons nil cons nil cons cons 242 ref subst trans appThm 6915 remove appThm sym nil 144 ref 1134 ref 69 ref 6862 ref 1137 ref appTerm 6981 def appTerm 4454 ref appTerm 6982 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 6982 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6981 ref nil cons 6983 def cons 4472 ref cons nil cons cons 6984 def 86 ref subst 6984 remove 151 ref subst 6981 ref betaConv 6981 remove assume eqMp nil 67 ref 2460 ref 1153 ref 498 ref appTerm 6985 def appTerm nil cons 6986 def cons 4472 ref cons nil cons cons 6987 def 136 ref subst proveHyp 6987 ref 86 ref subst 6987 remove 151 ref subst nil 2467 ref 114 ref 6985 ref nil cons 6988 def cons nil cons 6989 def cons nil cons cons 6990 def 127 ref subst 6990 remove 347 ref subst 4480 ref 4483 remove nil 67 ref 6988 ref cons 3376 remove cons nil cons cons 136 ref subst 1269 ref 6860 ref 45 ref appTerm 6991 def betaConv nil 67 ref 6976 remove cons 68 ref 6991 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 6860 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp eqMp 4486 ref proveHyp proveHyp proveHyp eqMp nil 112 ref 6986 remove cons 4487 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6983 remove cons 4487 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 6862 ref 45 ref appTerm appTerm 4454 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 6863 remove appTerm 4454 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 6862 remove nil cons cons 4487 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 6943 ref 4487 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 6974 remove cons 114 ref 6875 remove cons nil cons 6992 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 6971 remove cons 6992 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 6868 remove 1822 ref appTerm appTerm 6858 remove appTerm absTerm appTerm nil cons cons 6968 remove cons nil cons cons 136 ref subst proveHyp 324 ref 6966 remove 6992 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 6993 def nil 1422 ref 1403 ref 812 ref 1548 ref 288 ref 11 ref 23 ref 3050 ref 1617 ref appTerm 4446 ref appTerm 6994 def appTerm 6995 def 534 ref 494 ref 75 ref 4313 ref appTerm 6996 def 1621 ref 6853 ref appTerm 6997 def appTerm absTerm appTerm appTerm absTerm 6998 def appTerm 6999 def absTerm 7000 def appTerm 7001 def absTerm 7002 def appTerm 7003 def thm nil 510 ref 488 ref 288 ref 11 ref 27 ref 641 ref 532 ref appTerm appTerm 530 ref 3501 ref 3502 ref 534 ref 356 ref 75 ref 3504 ref 641 remove 1822 ref appTerm appTerm appTerm 2488 ref appTerm absTerm appTerm absTerm appTerm appTerm appTerm 7004 def absTerm 7005 def appTerm 7006 def absTerm 7007 def nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 7006 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7005 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 7004 remove nil cons cons nil cons nil cons cons 106 ref subst 640 ref nil 2057 ref 638 ref cons nil cons cons 681 ref subst appThm 4735 ref 3509 ref 3502 ref 543 ref 356 ref 544 ref 4743 ref nil 4637 remove 638 ref cons nil cons cons 7008 def 681 ref subst appThm appThm 2488 ref refl 7009 def appThm absThm appThm absThm appThm appThm appThm sym 11 ref 27 ref 608 ref 532 ref appTerm 30 ref appTerm 7010 def appTerm 530 ref 3501 ref 3502 ref 534 ref 356 ref 75 ref 3504 ref 608 ref 1822 ref appTerm 30 ref appTerm 7011 def appTerm appTerm 2488 ref appTerm absTerm appTerm absTerm 7012 def appTerm 7013 def appTerm 7014 def appTerm absTerm 7015 def 30 ref appTerm 7016 def betaConv 488 ref 288 ref 7015 ref appTerm 7017 def absTerm 7018 def 491 ref appTerm 7019 def betaConv 1663 ref 488 ref 292 ref 11 ref nil 11 ref 7014 remove nil cons cons 4 ref 7010 remove nil cons cons nil cons cons nil cons cons 381 ref subst absThm appThm absThm appThm sym 1663 ref 488 ref 292 ref 11 ref 55 ref 41 ref 33 ref nil 3278 remove nil cons cons 7020 def 632 ref subst 544 ref 542 ref appThm 7021 def 368 ref appThm trans appThm nil 488 ref 7013 remove nil cons cons nil cons nil cons cons 542 ref subst 543 ref 3230 ref 544 ref nil 2930 ref 7012 ref nil cons cons 3312 ref cons nil cons cons 325 ref 449 ref subst 7022 def subst 7012 remove 3231 ref appTerm betaConv trans appThm 4730 ref appThm absThm appThm trans appThm absThm appThm absThm appThm absThm appThm sym nil 510 ref 488 ref 288 ref 11 ref 54 ref 41 ref 23 ref 75 ref 2073 remove appTerm 7023 def 47 ref appTerm 7024 def appTerm 534 ref 3230 ref 75 ref 534 ref 356 ref 75 ref 27 ref 3231 ref appTerm 7025 def 7011 ref appTerm appTerm 2488 ref appTerm absTerm 7026 def appTerm 7027 def appTerm 3237 ref appTerm 7028 def absTerm 7029 def appTerm 7030 def appTerm 7031 def absTerm 7032 def appTerm 7033 def absTerm 7034 def appTerm 7035 def absTerm nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 7035 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7034 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 7033 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 7032 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7031 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7024 ref nil cons 7036 def cons 68 ref 7030 ref nil cons 7037 def cons nil cons 7038 def cons nil cons cons 7039 def 348 ref subst 7039 ref 86 ref subst 7039 remove 151 ref subst nil 2148 remove 1727 ref cons nil cons cons 7040 def 127 ref subst 7040 remove 347 ref subst nil 67 ref 2074 remove cons 7041 def 7038 ref cons nil cons cons 136 ref subst nil 317 ref 3230 ref 3344 remove 7030 ref appTerm 7042 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 3230 ref nil 99 ref 7042 remove nil cons cons nil cons nil cons cons 106 ref subst nil 3347 remove 7038 ref cons nil cons cons 7043 def 86 ref subst 7043 remove 151 ref subst 3349 remove nil 3351 remove 7038 remove cons nil cons cons 7044 def 136 ref subst proveHyp 7044 ref 86 ref subst 7044 remove 151 ref subst 3262 ref 3353 remove 7029 ref 608 ref 3231 ref appTerm 30 ref appTerm 7045 def appTerm betaConv sym 75 ref 534 ref 356 ref 75 ref 27 ref 7045 ref appTerm 7011 remove appTerm appTerm 2488 ref appTerm absTerm 7046 def appTerm 7047 def appTerm refl nil 4 ref 3311 remove cons nil cons 7048 def nil cons cons 7049 def 632 ref subst 544 ref 3309 remove appThm 1793 ref appThm 941 ref trans trans appThm nil 99 ref 7047 remove nil cons cons nil cons nil cons cons 1362 ref subst trans sym 7046 ref 3231 ref appTerm betaConv sym 544 ref nil 356 ref 7045 remove nil cons cons nil cons 7050 def nil cons cons 1108 ref subst appThm 3322 ref appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 7046 remove nil cons cons 3312 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 324 ref 317 ref 7029 ref nil cons cons 7051 def 7050 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 3354 remove 114 ref 7037 remove cons nil cons 7052 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 3355 remove 7052 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 2121 ref 7030 ref appTerm absTerm appTerm nil cons cons 68 ref 2097 ref 7030 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 2092 ref 7052 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 7036 ref cons 7052 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 7024 ref appTerm 7030 ref appTerm nil cons cons 68 ref 69 ref 7030 remove appTerm 7024 ref appTerm nil cons cons nil cons 7053 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 3230 ref 69 ref 7029 ref 3231 ref appTerm 7054 def appTerm 7024 ref appTerm 7055 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 3230 ref nil 99 ref 7055 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7054 ref nil cons 7056 def cons 68 ref 7036 ref cons nil cons 7057 def cons nil cons cons 7058 def 86 ref subst 7058 remove 151 ref subst 7054 ref betaConv 7054 remove assume eqMp nil 67 ref 7028 remove nil cons 7059 def cons 7057 ref cons nil cons cons 7060 def 136 ref subst proveHyp 7060 ref 86 ref subst 7060 remove 151 ref subst nil 112 ref 7027 ref nil cons 7061 def cons 3260 ref cons nil cons cons 7062 def 127 ref subst 7062 remove 347 ref subst nil 67 ref 7061 remove cons 7057 ref cons nil cons cons 136 ref subst nil 317 ref 2490 ref 69 ref 7026 ref 2491 ref appTerm 7063 def appTerm 7024 ref appTerm 7064 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 2490 ref nil 99 ref 7064 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7063 ref nil cons 7065 def cons 7057 ref cons nil cons cons 7066 def 86 ref subst 7066 remove 151 ref subst 7063 ref betaConv 7063 remove assume eqMp nil 67 ref 75 ref 7025 ref 608 ref 2491 ref appTerm 30 ref appTerm 7067 def appTerm 7068 def appTerm 3020 ref appTerm nil cons 7069 def cons 7057 ref cons nil cons cons 7070 def 136 ref subst proveHyp 7070 ref 86 ref subst 7070 remove 151 ref subst nil 112 ref 7068 ref nil cons cons 114 ref 3026 ref cons nil cons 7071 def cons nil cons cons 7072 def 127 ref subst 7072 remove 347 ref subst 23 ref "_10551" 3 ref var 7073 def 46 ref 7073 remove varTerm appTerm absTerm 7074 def 3231 ref appTerm 7075 def appTerm refl 7076 def 7074 ref 7067 ref appTerm betaConv appThm 33 ref 7075 remove betaConv appThm 7077 def 46 ref 7067 remove appTerm 7078 def refl appThm trans 7074 remove refl 7079 def 7068 remove assume appThm eqMp 3308 remove eqMp nil 67 ref 7078 remove nil cons cons 7057 ref cons nil cons cons 136 ref subst proveHyp 329 ref nil 4 ref 3047 ref cons nil cons nil cons cons 7080 def 632 ref subst appThm 7024 ref refl appThm sym nil 67 ref 75 ref 3021 ref appTerm 47 ref appTerm nil cons 7081 def cons 7057 remove cons nil cons cons 7082 def 86 ref subst 7082 remove 151 ref subst nil 112 ref 3021 ref nil cons 7083 def cons 1727 ref cons nil cons cons 7084 def 127 ref subst 7084 ref 347 ref subst 7023 ref refl 7085 def 1793 ref appThm 3900 ref 1362 ref subst 7086 def trans sym 2072 ref 2491 ref appTerm betaConv sym 3046 remove nil 99 ref 7083 ref cons nil cons nil cons cons 7087 def 106 ref subst 3021 ref assume eqMp appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 2092 ref 3048 remove cons nil cons cons 594 ref subst proveHyp eqMp proveHyp proveHyp eqMp nil 112 ref 7081 remove cons 114 ref 7036 remove cons nil cons 7088 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 7069 remove cons 7088 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 7065 remove cons 7088 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 7026 ref 1822 ref appTerm appTerm 7024 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 7027 remove appTerm 7024 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 7026 remove nil cons cons 7088 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 7059 remove cons 7088 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 7056 remove cons 7088 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 7029 remove 1822 ref appTerm appTerm 7024 remove appTerm absTerm appTerm nil cons cons 7053 remove cons nil cons cons 136 ref subst proveHyp 324 ref 7051 remove 7088 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 7089 def nil 67 ref 506 ref 7018 ref appTerm 7090 def nil cons cons 68 ref 7019 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 510 ref 7018 remove nil cons cons 513 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7017 remove nil cons cons 68 ref 7016 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 7015 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 7007 remove appTerm thm nil 510 ref 488 ref 288 ref 11 ref 27 ref 1320 ref 492 ref appTerm appTerm 485 ref 3501 ref 3502 ref 534 ref 356 ref 75 ref 3504 ref 1320 remove 1822 ref appTerm appTerm appTerm 2488 ref appTerm absTerm appTerm absTerm appTerm appTerm appTerm 7091 def absTerm 7092 def appTerm 7093 def absTerm 7094 def nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 7093 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7092 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 7091 remove nil cons cons nil cons nil cons cons 106 ref subst 640 ref nil 6269 remove 638 ref cons nil cons cons 1345 ref subst appThm 6334 ref 3509 ref 3502 ref 543 ref 356 ref 544 ref 4743 ref 7008 remove 1345 remove subst appThm appThm 7009 remove appThm absThm appThm absThm appThm appThm appThm sym 11 ref 27 ref 1217 ref 492 remove appTerm 30 ref appTerm 7095 def appTerm 485 ref 3501 ref 3502 ref 534 ref 356 ref 75 ref 3504 ref 1217 ref 1822 ref appTerm 30 ref appTerm 7096 def appTerm appTerm 2488 ref appTerm absTerm appTerm absTerm 7097 def appTerm 7098 def appTerm 7099 def appTerm absTerm 7100 def 30 ref appTerm 7101 def betaConv 488 ref 288 ref 7100 ref appTerm 7102 def absTerm 7103 def 491 ref appTerm 7104 def betaConv 1663 ref 488 ref 292 ref 11 ref nil 11 ref 7099 remove nil cons cons 4 ref 7095 remove nil cons cons nil cons cons nil cons cons 381 ref subst absThm appThm absThm appThm sym 1663 ref 488 ref 292 ref 11 ref 55 ref 41 ref 33 ref nil 2531 remove nil cons cons 1258 ref subst 1259 ref 516 ref appThm 368 ref appThm trans appThm nil 488 ref 7098 remove nil cons cons nil cons nil cons cons 516 ref subst 292 ref 3230 ref 329 ref nil 2930 ref 7097 ref nil cons cons 3312 ref cons nil cons cons 7022 remove subst 7097 remove 3231 ref appTerm betaConv trans appThm 4730 ref appThm absThm appThm trans appThm absThm appThm absThm appThm absThm appThm sym nil 510 ref 488 ref 288 ref 11 ref 54 ref 41 ref 23 ref 251 ref 2543 ref appTerm 7105 def 47 ref appTerm 7106 def appTerm 288 ref 3230 ref 69 ref 534 ref 356 ref 75 ref 7025 ref 7096 ref appTerm appTerm 2488 ref appTerm absTerm 7107 def appTerm appTerm 3237 ref appTerm 7108 def absTerm 7109 def appTerm 7110 def appTerm 7111 def absTerm 7112 def appTerm 7113 def absTerm 7114 def appTerm 7115 def absTerm nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 7115 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7114 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 7113 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 7112 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7111 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7106 ref nil cons 7116 def cons 68 ref 7110 ref nil cons 7117 def cons nil cons 7118 def cons nil cons cons 7119 def 348 ref subst 7119 ref 86 ref subst 7119 remove 151 ref subst nil 1819 ref 7118 ref cons nil cons cons 7120 def 86 ref subst 7120 remove 151 ref subst nil 317 ref 7109 ref nil cons cons 7121 def nil cons nil cons cons 327 ref subst 7122 def 3230 ref nil 99 ref 7108 remove nil cons 7123 def cons nil cons nil cons cons 106 ref subst 7124 def nil 317 ref 2490 ref 69 ref 7107 ref 2491 ref appTerm 7125 def appTerm 3237 ref appTerm 7126 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 7127 def 2490 ref nil 99 ref 7126 remove nil cons cons nil cons nil cons cons 106 ref subst 7128 def nil 67 ref 7125 ref nil cons 7129 def cons 3249 ref cons nil cons cons 7130 def 86 ref subst 7131 def 7130 remove 151 ref subst 7132 def 7125 ref betaConv 7125 remove assume eqMp nil 67 ref 75 ref 7025 ref 1217 ref 2491 remove appTerm 30 ref appTerm 7133 def appTerm 7134 def appTerm 3020 remove appTerm nil cons 7135 def cons 3249 ref cons nil cons cons 7136 def 136 ref subst proveHyp 7137 def 7136 ref 86 ref subst 7138 def 7136 remove 151 ref subst 7139 def nil 112 ref 7134 ref nil cons cons 7071 remove cons nil cons cons 7140 def 127 ref subst 7141 def 7076 remove "_10568" 3 ref var 7142 def 46 ref 7142 remove varTerm appTerm absTerm 7133 ref appTerm betaConv appThm 7077 remove 46 ref 7133 remove appTerm refl appThm trans 7079 remove 7134 remove assume appThm eqMp sym 7143 def 7080 remove 1258 ref subst 7144 def 251 ref 3021 remove appTerm refl 1793 ref appThm 7087 remove 1612 ref subst trans trans sym 105 ref eqMp eqMp proveHyp eqMp nil 112 ref 7135 remove cons 3260 ref cons nil cons cons 127 ref subst 7145 def deductAntisym eqMp eqMp eqMp nil 112 ref 7129 remove cons 3260 ref cons nil cons cons 127 ref subst 7146 def deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 7107 ref 1822 ref appTerm appTerm 3237 ref appTerm absTerm appTerm nil cons cons 68 ref 7123 remove cons nil cons cons nil cons cons 136 ref subst 7147 def proveHyp 324 ref 317 ref 7107 remove nil cons cons 3260 ref cons nil cons cons 929 ref subst 7148 def eqMp eqMp absThm eqMp eqMp nil 1935 ref 114 ref 7117 ref cons nil cons 7149 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2559 remove 7118 remove cons nil cons cons 7150 def 86 ref subst 7150 remove 151 ref subst 7122 remove 3230 ref 7124 remove 7127 remove 2490 remove 7128 remove 7131 remove 7132 remove 7137 remove 7138 remove 7139 remove 7141 remove 7140 remove 347 ref subst 7143 remove 7144 remove sym nil 67 ref 3026 remove cons 68 ref 7083 remove cons nil cons cons nil cons cons 136 ref subst nil 11 ref 3047 remove cons nil cons nil cons cons 2596 remove subst eqMp 7084 remove 1821 ref subst proveHyp eqMp eqMp proveHyp proveHyp eqMp 7145 remove deductAntisym eqMp eqMp eqMp 7146 remove deductAntisym eqMp eqMp absThm eqMp 7147 remove proveHyp 7148 remove eqMp eqMp absThm eqMp eqMp nil 2599 ref 7149 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 2599 remove 1726 remove 261 ref 7117 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 7116 ref cons 7149 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 7106 ref appTerm 7110 ref appTerm nil cons cons 68 ref 69 ref 7110 remove appTerm 7106 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 7117 ref cons 7151 def 68 ref 7116 ref cons nil cons 7152 def cons nil cons cons 7153 def 86 ref subst 7153 remove 151 ref subst nil 1931 ref 7152 ref cons nil cons cons 7154 def 86 ref subst 7154 remove 151 ref subst 7105 remove refl 7155 def 1937 ref appThm 3879 ref 1186 ref subst trans sym nil 317 ref 3230 ref 3240 remove absTerm nil cons cons nil cons nil cons cons 327 ref subst 7156 def 3230 ref nil 99 ref 3263 remove cons nil cons nil cons cons 106 ref subst 3251 remove 3252 remove 7109 remove 1217 ref 3231 ref appTerm 7157 def 30 ref appTerm 7158 def appTerm 7159 def betaConv nil 7151 remove 68 ref 7159 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 7121 remove 356 ref 7158 ref nil cons cons nil cons 7160 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 534 ref 356 ref 75 ref 27 ref 7158 ref appTerm 7096 remove appTerm appTerm 2488 ref appTerm absTerm 7161 def appTerm 7162 def appTerm 7163 def 46 ref 7158 remove appTerm appTerm nil cons cons 3249 ref cons nil cons cons 136 ref subst proveHyp 329 ref 7163 ref refl 7049 ref 1258 ref subst 251 ref 3237 ref appTerm refl 1937 remove appThm 3307 remove 1186 ref subst trans trans appThm appThm 4730 remove appThm sym nil 67 ref 7163 remove 3237 remove appTerm 7164 def nil cons 7165 def cons 3249 ref cons nil cons cons 7166 def 86 ref subst 7166 remove 151 ref subst 7161 ref 3231 ref appTerm betaConv sym 544 ref nil 7160 remove nil cons cons 1108 ref subst appThm 3322 remove appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 7161 remove nil cons cons 3312 remove cons nil cons cons 594 ref subst proveHyp nil 67 ref 7162 remove nil cons cons 3249 remove cons nil cons cons 136 ref subst proveHyp 7164 remove assume eqMp eqMp nil 112 ref 7165 remove cons 3260 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 3262 remove deductAntisym eqMp eqMp absThm eqMp eqMp eqMp nil 1939 ref 114 ref 7116 ref cons nil cons 7167 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 1819 ref 7152 remove cons nil cons cons 7168 def 86 ref subst 7168 remove 151 ref subst 7155 remove 1793 remove appThm 3879 remove 1612 ref subst trans sym 105 ref eqMp eqMp nil 1935 ref 7167 ref cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 47 ref appTerm 7169 def betaConv 1384 ref nil 1385 ref 68 ref 7169 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 168 remove cons nil cons cons 161 ref subst eqMp eqMp nil 1935 ref 1872 remove 261 ref 7116 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 7117 remove cons 7167 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 7170 def nil 67 ref 506 ref 7103 ref appTerm 7171 def nil cons cons 68 ref 7104 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 510 ref 7103 remove nil cons cons 513 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7102 remove nil cons cons 68 ref 7101 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 7100 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 7094 remove appTerm thm nil 510 ref 488 ref 288 ref 11 ref 27 ref 1118 ref 532 ref appTerm 30 ref appTerm 7172 def appTerm 530 remove 3501 ref 3502 ref 534 ref 356 ref 75 ref 3504 ref 1118 ref 1822 ref appTerm 30 ref appTerm 7173 def appTerm appTerm 2488 remove appTerm absTerm appTerm absTerm appTerm appTerm 7174 def appTerm 7175 def absTerm 7176 def appTerm 7177 def absTerm 7178 def nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 7177 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7176 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 7175 remove nil cons cons nil cons nil cons cons 106 ref subst nil 11 ref 7174 ref nil cons cons 4 ref 7172 ref nil cons cons nil cons cons nil cons cons 381 ref subst sym nil 144 ref 41 ref 23 ref 46 ref 7172 remove appTerm appTerm 7179 def 46 ref 7174 remove appTerm appTerm 7180 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7180 remove nil cons cons nil cons nil cons cons 106 ref subst 7179 remove refl 366 ref 640 ref 4735 remove 3509 ref 3502 ref 543 ref 356 ref 544 ref 4743 ref 356 ref 7173 ref absTerm 7181 def 1822 ref appTerm betaConv 7182 def appThm appThm 6255 ref 1822 ref appTerm 7183 def betaConv 7184 def appThm absThm appThm absThm appThm appThm appThm 429 ref 426 ref 40 ref 452 ref 4747 ref 543 ref 356 ref 544 ref 7184 remove appThm 4749 ref 7182 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil 6260 ref 7181 remove nil cons cons 2930 ref 6255 ref nil cons 7185 def cons nil cons cons nil cons cons 6264 remove subst eqMp appThm 33 ref 366 ref 429 ref 426 ref 40 ref 452 ref 4747 ref 452 ref 534 ref 356 ref 2520 ref 834 ref 7173 remove appTerm appTerm absTerm appTerm absTerm 7186 def 453 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 7186 ref 45 ref appTerm betaConv appThm nil 56 ref 7186 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp trans appThm sym 33 ref 7020 remove 1152 ref subst 7021 ref 1947 ref appThm trans appThm 543 ref 356 ref 2526 ref 2505 remove 1152 ref subst appThm absThm appThm appThm sym nil 2375 ref 68 ref 23 ref 7023 ref 1142 ref appTerm appTerm 534 ref 356 ref 2520 ref 75 ref 2535 ref appTerm 7187 def 1142 ref appTerm appTerm absTerm appTerm appTerm nil cons 7188 def cons nil cons 7189 def cons nil cons cons 7190 def 86 ref subst 7190 remove 151 ref subst 23 ref "_10724" 19 ref var 7191 def 23 ref 7023 ref 34 ref 7191 remove varTerm appTerm 7192 def appTerm appTerm 534 ref 356 ref 2520 ref 7187 ref 7192 remove appTerm appTerm absTerm appTerm appTerm absTerm 7193 def 47 ref appTerm 7194 def appTerm refl 7195 def 7193 ref 171 ref appTerm betaConv appThm 33 ref 7194 remove betaConv appThm 7196 def 23 ref 7023 ref 397 ref appTerm appTerm 534 ref 356 ref 2520 ref 7187 ref 397 ref appTerm appTerm absTerm appTerm appTerm refl appThm trans 7193 remove refl 7197 def 2386 ref appThm eqMp sym 33 ref 7085 ref 400 ref appThm 7086 remove trans appThm 543 ref 356 ref 2526 ref 7187 ref refl 7198 def 400 ref appThm nil 99 ref 2535 ref nil cons cons nil cons nil cons cons 7199 def 1362 ref subst trans appThm absThm appThm appThm 4857 remove trans sym 105 ref eqMp eqMp eqMp nil 2388 ref 114 ref 7188 ref cons nil cons 7200 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2392 ref 7189 remove cons nil cons cons 7201 def 86 ref subst 7201 remove 151 ref subst 7195 remove "_10722" 19 ref var 7202 def 23 ref 7023 ref 34 ref 7202 remove varTerm appTerm 7203 def appTerm appTerm 534 ref 356 ref 2520 ref 7187 ref 7203 remove appTerm appTerm absTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 7196 remove 23 ref 7023 remove 415 ref appTerm appTerm 534 ref 356 ref 2520 remove 7187 remove 415 ref appTerm appTerm absTerm appTerm appTerm refl appThm trans 7197 remove 2397 ref appThm eqMp sym 33 ref 7085 remove 417 ref appThm 3900 remove 1106 ref subst trans appThm 543 ref 356 ref 2526 remove 7198 remove 417 ref appThm 7199 remove 1106 ref subst trans appThm nil 99 ref 2496 remove cons nil cons nil cons cons 1106 ref subst trans absThm appThm 553 ref trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 2399 ref 7200 remove cons nil cons cons 127 ref subst deductAntisym eqMp 2401 ref nil 2399 ref 2402 ref 261 ref 7188 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 7178 remove appTerm thm 7089 remove nil 7090 remove thm 7170 remove nil 7171 remove thm nil 510 ref 2602 ref 812 ref 783 ref 787 ref 736 ref 2610 remove appTerm 7204 def 789 ref appTerm 7205 def appTerm 6676 ref 6677 ref 6678 ref 534 ref 4 ref 6680 ref 4859 ref appTerm absTerm appTerm absTerm appTerm 7206 def appTerm 7207 def appTerm 7208 def absTerm 7209 def appTerm 7210 def absTerm 7211 def nil cons cons nil cons nil cons cons 1695 ref subst 2602 ref nil 99 ref 7210 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 7209 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 7208 remove nil cons cons nil cons nil cons cons 106 ref subst nil 727 ref 7207 ref nil cons cons 729 ref 7205 ref nil cons cons nil cons cons nil cons cons 743 ref subst sym 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 7205 remove appTerm appTerm 753 ref 7207 remove appTerm appTerm absTerm 7212 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 7212 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 7212 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp 55 ref 452 ref 758 ref 759 ref 33 ref nil 2611 remove 1529 ref cons 7213 def nil cons cons 1537 ref subst 544 ref nil 2607 remove 868 ref cons nil cons cons 542 ref subst appThm 7214 def 1543 ref refl 7215 def appThm trans appThm nil 6695 ref 7206 remove nil cons cons 842 ref cons nil cons cons 6696 ref subst 33 ref 6697 ref 727 ref 544 ref 6699 ref 6700 ref 6678 ref 543 ref 4 ref 544 ref 6701 ref 4 ref 790 ref absTerm 7216 def 28 ref appTerm 7217 def betaConv 7218 def appThm appThm 4 ref 4859 ref absTerm 7219 def 28 ref appTerm betaConv 7220 def appThm absThm appThm absThm appThm appThm appThm 6709 ref appThm absThm appThm appThm 543 ref 4 ref 544 ref 7220 ref appThm 6708 ref 7217 remove appTerm betaConv appThm absThm appThm appThm nil "f" 18 ref 3 ref 732 ref cons opType var 7221 def 7216 remove nil cons cons 2930 ref 7219 remove nil cons cons 7222 def 6713 ref cons cons nil cons cons 323 ref 6714 remove cons 218 ref cons 6823 remove subst subst eqMp trans 543 ref 4 ref 75 ref 4859 ref appTerm 7223 def refl 7224 def 782 remove 7218 remove appThm 1538 ref trans appThm absThm appThm trans appThm absThm appThm absThm appThm trans sym nil 144 ref 452 ref 757 ref 759 ref 23 ref 75 ref 534 ref 11 ref 2622 remove 5364 remove appTerm absTerm 7225 def appTerm 7226 def appTerm 7227 def 1543 ref appTerm appTerm 534 ref 4 ref 7223 ref 1544 ref appTerm absTerm appTerm appTerm 7228 def absTerm 7229 def appTerm 7230 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 7230 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 7229 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 7228 remove nil cons 7231 def cons nil cons nil cons cons 106 ref subst nil 67 ref 23 ref 1543 ref appTerm 7232 def 171 ref appTerm 7233 def nil cons 7234 def cons 68 ref 7231 ref cons nil cons 7235 def cons nil cons cons 7236 def 86 ref subst 7236 remove 151 ref subst 23 ref "_11920" 19 ref var 7237 def 23 ref 7227 ref 7237 remove varTerm 7238 def appTerm appTerm 534 ref 4 ref 7223 ref 1541 ref 7238 remove appTerm appTerm absTerm appTerm appTerm absTerm 7239 def 1543 ref appTerm 7240 def appTerm refl 7241 def 7239 ref 171 ref appTerm betaConv appThm 33 ref 7240 remove betaConv appThm 7242 def 23 ref 7227 ref 171 ref appTerm appTerm 534 ref 4 ref 7223 ref 1541 ref 171 ref appTerm appTerm absTerm appTerm appTerm refl appThm trans 7239 remove refl 7243 def 7233 remove assume appThm eqMp sym 33 ref nil 99 ref 7226 ref nil cons 7244 def cons nil cons nil cons cons 7245 def 1106 ref subst appThm 543 ref 4 ref 7224 ref nil 99 ref 1558 ref cons nil cons nil cons cons 7246 def 1106 ref subst 7247 def appThm 4893 remove 1106 ref subst trans absThm appThm 553 remove trans appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 7234 ref cons 114 ref 7231 ref cons nil cons 7248 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 7232 remove 91 ref appTerm 7249 def nil cons 7250 def cons 7235 remove cons nil cons cons 7251 def 86 ref subst 7251 remove 151 ref subst 7241 remove "_11918" 19 ref var 7252 def 23 ref 7227 ref 7252 remove varTerm 7253 def appTerm appTerm 534 ref 4 ref 7223 ref 1541 ref 7253 remove appTerm appTerm absTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 7242 remove 23 ref 7227 ref 91 ref appTerm appTerm 534 ref 4 ref 7223 ref 1541 ref 91 ref appTerm appTerm absTerm appTerm appTerm refl appThm trans 7243 remove 7249 remove assume appThm eqMp sym 33 ref 7245 remove 1362 ref subst appThm 543 ref 4 ref 7224 remove 7246 ref 1362 ref subst 7254 def appThm absThm appThm appThm nil 166 ref 7244 ref cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 112 ref 7250 remove cons 7255 def 7248 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 1543 ref appTerm 7256 def betaConv 255 ref nil 256 ref 68 ref 7256 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 1557 ref cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 7255 remove 114 ref 7234 remove cons 261 ref 7231 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 7211 remove appTerm thm nil "P" 287 ref var 7257 def 2930 ref 69 ref 75 ref 2930 ref varTerm 7258 def 13 ref appTerm 7259 def appTerm 54 ref 452 ref 288 ref 4 ref 69 ref 1560 remove appTerm 7258 ref 4116 ref 28 ref appTerm 7260 def appTerm appTerm absTerm 7261 def appTerm 7262 def absTerm 7263 def appTerm 7264 def appTerm 7265 def appTerm 288 ref 4 ref 7258 ref 28 ref appTerm 7266 def absTerm 7267 def appTerm 7268 def appTerm 7269 def absTerm 7270 def nil cons cons nil cons nil cons cons "A" 25 remove cons nil cons 7271 def 218 ref cons 7272 def 326 ref subst 7273 def subst 2930 ref nil 99 ref 7269 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7265 remove nil cons 7274 def cons 68 ref 7268 remove nil cons 7275 def cons nil cons cons nil cons cons 7276 def 86 ref subst 7276 remove 151 ref subst nil 112 ref 7259 ref nil cons 7277 def cons 114 ref 7264 remove nil cons 7278 def cons nil cons cons nil cons cons 7279 def 127 ref subst 7279 remove 347 ref subst nil 317 ref 7267 ref nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7266 ref nil cons 7280 def cons nil cons nil cons cons 7281 def 106 ref subst 6232 remove nil 67 ref 6220 ref cons 68 ref 7280 ref cons nil cons 7282 def cons nil cons cons 7283 def 136 ref subst proveHyp 7283 ref 86 ref subst 7283 remove 151 ref subst nil 144 ref 41 ref 69 ref 6227 ref appTerm 7266 ref appTerm 7284 def absTerm 7285 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7284 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6227 ref nil cons 7286 def cons 7282 ref cons nil cons cons 7287 def 86 ref subst 7287 remove 151 ref subst 6228 remove 6227 remove assume eqMp nil 67 ref 6133 remove cons 7282 ref cons nil cons cons 136 ref subst proveHyp nil 317 ref 11 ref 6146 remove 7266 ref appTerm 7288 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 7288 remove nil cons cons nil cons nil cons cons 106 ref subst nil 6149 remove 7282 ref cons nil cons cons 7289 def 86 ref subst 7289 remove 151 ref subst 6151 remove nil 6153 remove 7282 ref cons nil cons cons 7290 def 136 ref subst proveHyp 7290 ref 86 ref subst 7290 remove 151 ref subst 6156 remove 6157 remove 23 ref "_10699" 3 ref var 7291 def 7258 ref 7291 remove varTerm appTerm absTerm 7292 def 28 ref appTerm 7293 def appTerm refl 7292 remove 3357 ref appTerm betaConv appThm 33 ref 7293 remove betaConv appThm 7258 ref 3357 remove appTerm 7294 def refl appThm trans 7267 remove refl 6158 remove appThm eqMp sym nil 1931 ref 68 ref 7294 remove nil cons cons nil cons cons nil cons cons 136 ref subst nil 637 ref 1479 ref cons nil cons cons 7261 ref 28 ref appTerm 7295 def betaConv 7263 ref 453 ref appTerm 7296 def betaConv nil 67 ref 7278 remove cons 68 ref 7296 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 7263 remove nil cons cons 868 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7262 remove nil cons cons 68 ref 7295 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 7261 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp proveHyp proveHyp eqMp nil 6159 remove 114 ref 7280 ref cons nil cons 7297 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 6160 remove 7297 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 6161 remove 7266 ref appTerm absTerm appTerm nil cons cons 68 ref 6143 remove 7266 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 6141 remove 7297 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 7286 remove cons 7297 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 7285 remove appTerm nil cons cons 68 ref 69 ref 6217 remove appTerm 7266 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 6229 remove 7297 ref cons nil cons cons 929 ref subst eqMp nil 3808 remove 7282 ref cons nil cons cons 7298 def 86 ref subst 7298 remove 151 ref subst 7258 ref refl 7299 def 3813 remove appThm nil 99 ref 7277 remove cons nil cons nil cons cons 106 ref subst 7259 remove assume eqMp trans sym 105 ref eqMp eqMp nil 3819 ref 7297 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 3819 remove 6230 remove 261 ref 7280 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 6220 remove cons 7297 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 7274 remove cons 114 ref 7275 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 53 ref 18 ref 287 remove 20 ref cons opType constTerm 7300 def 7270 remove appTerm thm nil "P" 18 ref 3062 ref 20 ref cons opType 7301 def var 7302 def "t" 3062 ref var 7303 def 787 ref 792 ref 793 ref 39 ref 41 ref 794 ref 795 ref 802 ref 6664 remove 806 ref 7303 ref varTerm 7304 def 45 ref appTerm appTerm 7305 def appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm appTerm 1512 remove appTerm 7306 def absTerm 7307 def nil cons cons nil cons nil cons cons "A" 3062 ref nil cons cons 7308 def nil cons 218 ref cons 7309 def 326 ref subst 7310 def subst 7303 ref nil 99 ref 7306 remove nil cons cons nil cons nil cons cons 106 ref subst 6501 ref 825 ref 793 ref 40 ref 41 ref 826 ref 795 ref 827 ref 633 remove 7305 ref refl appThm nil 99 ref 7305 ref nil cons cons nil cons nil cons cons 549 ref subst trans appThm nil 99 ref 801 remove nil cons cons nil cons nil cons cons 1106 ref subst trans absThm appThm 1629 remove trans absThm appThm 1628 remove trans absThm appThm appThm 6506 remove appThm sym nil 1523 remove 729 ref 792 ref 793 ref 171 ref absTerm 7311 def appTerm nil cons cons nil cons cons nil cons cons 743 ref subst 747 ref 748 ref 33 ref nil 766 ref 7311 ref nil cons cons nil cons nil cons cons 843 ref subst 7311 remove 752 ref appTerm betaConv trans appThm 1539 remove appThm 554 ref trans absThm appThm 371 ref 742 ref 376 ref subst subst trans trans sym 105 ref eqMp eqMp eqMp absThm eqMp nil 53 ref 18 ref 7301 ref 20 ref cons opType 7312 def constTerm 7313 def 7307 remove appTerm thm nil 144 ref 41 ref 54 ref 296 ref 288 ref 4 ref 3543 remove 3549 remove appTerm 7314 def absTerm 7315 def appTerm 7316 def absTerm 7317 def appTerm 7318 def absTerm 7319 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7318 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 7317 remove nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 7316 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7315 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7314 remove nil cons cons nil cons nil cons cons 106 ref subst 3666 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 54 ref 7319 remove appTerm thm nil 144 ref 41 ref 288 ref 4 ref 288 ref 11 ref 27 ref 608 ref 1161 ref appTerm 30 ref appTerm 7320 def appTerm 7321 def 3546 ref 47 ref appTerm 7322 def 1122 ref 610 ref appTerm 7323 def appTerm 610 ref appTerm 7324 def appTerm 7325 def absTerm 7326 def appTerm 7327 def absTerm 7328 def appTerm 7329 def absTerm 7330 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7329 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7328 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7327 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7326 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 7325 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_10491" 3 ref var 7331 def 7321 ref 7331 remove varTerm appTerm absTerm 7332 def 7324 remove appTerm betaConv appThm 544 ref 4692 ref 7332 ref 7323 ref appTerm betaConv appThm appThm 4086 ref refl 7333 def 7332 ref 610 ref appTerm betaConv appThm appThm appThm nil 3553 ref 648 ref cons 3555 ref 7323 ref nil cons 7334 def cons 3557 ref 167 ref cons nil cons 7335 def cons cons nil cons cons nil 3558 ref 7332 remove nil cons cons nil cons nil cons cons 3575 ref subst subst eqMp sym nil 1819 ref 68 ref 7321 ref 7323 remove appTerm 7336 def nil cons 7337 def cons nil cons cons nil cons cons 7338 def 86 ref subst 7338 remove 151 ref subst nil 11 ref 7334 remove cons 4 ref 7320 remove nil cons cons nil cons 7339 def cons nil cons cons 381 ref subst 55 ref 1134 ref 33 ref 1246 ref 632 ref subst 2769 ref 1262 ref appThm trans appThm 7340 def nil 649 remove 1158 ref cons nil cons cons 1178 ref subst 1268 ref 4234 ref appThm trans appThm absThm appThm trans sym nil 144 ref 1134 ref 23 ref 2771 remove 1261 ref appTerm appTerm 7341 def 1267 ref 4236 ref appTerm appTerm 7342 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 7342 remove nil cons 7343 def cons nil cons nil cons cons 106 ref subst nil 3402 ref 68 ref 7343 ref cons nil cons 7344 def cons nil cons cons 7345 def 86 ref subst 7345 remove 151 ref subst 33 ref 544 ref 3410 ref 1471 ref appThm 3413 remove trans 7346 def appThm 1262 ref appThm 7347 def appThm 3410 ref 4236 ref refl appThm nil 99 ref 4248 ref cons nil cons nil cons cons 1308 ref subst trans appThm nil 166 ref 4248 ref cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp nil 3414 ref 114 ref 7343 ref cons nil cons 7348 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2226 ref 7344 remove cons nil cons cons 7349 def 86 ref subst 7349 remove 151 ref subst 33 ref 544 ref 3420 ref 2230 ref appThm 1352 ref trans 7350 def appThm 7351 def 5009 ref appThm 941 ref trans appThm 3420 ref 544 ref 2230 ref appThm 7352 def 5009 ref appThm 1363 ref trans appThm 1352 ref trans appThm 527 ref trans sym 105 ref eqMp eqMp nil 2231 ref 7348 remove cons nil cons cons 127 ref subst deductAntisym eqMp 3423 ref nil 2231 ref 3424 ref 261 ref 7343 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp eqMp nil 1935 ref 114 ref 7337 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 997 ref 7336 remove appTerm nil cons cons 68 ref 4086 ref 7321 remove 610 ref appTerm 7353 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1931 ref 68 ref 7353 remove nil cons 7354 def cons nil cons cons nil cons cons 7355 def 86 ref subst 7355 remove 151 ref subst nil 11 ref 648 remove cons 7339 remove cons nil cons cons 381 ref subst 55 ref 1134 ref 7340 remove 4234 remove appThm absThm appThm trans sym nil 144 ref 1134 ref 7341 remove 4236 ref appTerm 7356 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 7356 remove nil cons 7357 def cons nil cons nil cons cons 106 ref subst nil 3402 ref 68 ref 7357 ref cons nil cons 7358 def cons nil cons cons 7359 def 86 ref subst 7359 remove 151 ref subst 7347 remove eqMp nil 3414 ref 114 ref 7357 ref cons nil cons 7360 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2226 ref 7358 remove cons nil cons cons 7361 def 86 ref subst 7361 remove 151 ref subst 33 ref 7351 remove 6094 ref appThm 1096 ref trans appThm 7352 ref 6094 ref appThm 1365 ref trans appThm 554 ref trans sym 105 ref eqMp eqMp nil 2231 ref 7360 remove cons nil cons cons 127 ref subst deductAntisym eqMp 3423 ref nil 2231 ref 3424 ref 261 ref 7357 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp eqMp nil 1939 ref 114 ref 7354 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 54 ref 7330 remove appTerm thm nil 144 ref 41 ref 288 ref 4 ref 288 ref 11 ref 1228 ref 7322 ref 1230 ref appTerm 1231 ref appTerm 7362 def appTerm 7363 def absTerm 7364 def appTerm 7365 def absTerm 7366 def appTerm 7367 def absTerm 7368 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7367 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7366 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7365 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7364 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 7363 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_10485" 3 ref var 7369 def 1228 ref 7369 remove varTerm appTerm absTerm 7370 def 7362 remove appTerm betaConv appThm 544 ref 4692 ref 7370 ref 1230 ref appTerm betaConv appThm appThm 7333 ref 7370 ref 1231 remove appTerm betaConv appThm appThm appThm nil 3553 ref 1241 remove cons 3555 ref 1264 remove cons 7335 ref cons cons nil cons cons nil 3558 ref 7370 remove nil cons cons nil cons nil cons cons 3575 ref subst subst eqMp sym nil 1819 ref 68 ref 1228 remove 1230 remove appTerm 7371 def nil cons 7372 def cons nil cons cons nil cons cons 7373 def 86 ref subst 7373 remove 151 ref subst nil 1983 remove 1242 remove cons nil cons cons 381 ref subst 55 ref 1134 ref 1263 ref 1270 remove appThm absThm appThm trans sym nil 144 ref 1134 ref 23 ref 1297 remove appTerm 7374 def 251 ref 1154 ref appTerm 1261 ref appTerm 7375 def appTerm 7376 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 7376 remove nil cons 7377 def cons nil cons nil cons cons 106 ref subst nil 3402 ref 68 ref 7377 ref cons nil cons 7378 def cons nil cons cons 7379 def 86 ref subst 7379 remove 151 ref subst 1259 ref 7346 remove appThm 1262 ref appThm 7380 def eqMp nil 3414 ref 114 ref 7377 ref cons nil cons 7381 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2226 ref 7378 remove cons nil cons cons 7382 def 86 ref subst 7382 remove 151 ref subst 33 ref 1259 ref 7350 remove appThm 7383 def 5009 ref appThm 3663 remove trans appThm 1259 ref 2230 remove appThm 7384 def 5009 remove appThm 2398 remove trans appThm 527 ref trans sym 105 ref eqMp eqMp nil 2231 ref 7381 remove cons nil cons cons 127 ref subst deductAntisym eqMp 3423 ref nil 2231 ref 3424 ref 261 ref 7377 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp eqMp nil 1935 ref 114 ref 7372 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 997 ref 7371 remove appTerm nil cons cons 68 ref 4086 ref 1232 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1931 ref 68 ref 1232 remove nil cons 7385 def cons nil cons cons nil cons cons 7386 def 86 ref subst 7386 remove 151 ref subst 1243 remove 55 ref 1134 ref 1263 remove 1266 remove 1271 remove trans appThm absThm appThm trans sym nil 144 ref 1134 ref 7374 remove 1267 ref 7375 ref appTerm appTerm 7387 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 7387 remove nil cons 7388 def cons nil cons nil cons cons 106 ref subst nil 3402 remove 68 ref 7388 ref cons nil cons 7389 def cons nil cons cons 7390 def 86 ref subst 7390 remove 151 ref subst 33 ref 7380 remove appThm 3410 remove 7375 ref refl appThm nil 99 ref 7375 remove nil cons 7391 def cons nil cons nil cons cons 1308 ref subst trans appThm nil 166 ref 7391 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp nil 3414 remove 114 ref 7388 ref cons nil cons 7392 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2226 ref 7389 remove cons nil cons cons 7393 def 86 ref subst 7393 remove 151 ref subst 33 ref 7383 remove 6094 ref appThm 3422 remove trans appThm 3420 ref 7384 remove 6094 remove appThm 2387 remove trans appThm 1352 ref trans appThm 527 ref trans sym 105 ref eqMp eqMp nil 2231 ref 7392 remove cons nil cons cons 127 ref subst deductAntisym eqMp 3423 remove nil 2231 ref 3424 remove 261 ref 7388 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp eqMp nil 1939 ref 114 ref 7385 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 54 ref 7368 remove appTerm thm nil 317 ref 4 ref 288 ref 11 ref 54 ref 41 ref 27 ref 1118 ref 1161 ref appTerm 30 ref appTerm 7394 def appTerm 7395 def 7322 remove 1140 ref appTerm 1122 remove 1140 ref appTerm 7396 def appTerm 7397 def appTerm 7398 def absTerm 7399 def appTerm 7400 def absTerm 7401 def appTerm 7402 def absTerm 7403 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7402 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7401 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 7400 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 7399 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7398 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_10509" 3 ref var 7404 def 7395 ref 7404 remove varTerm appTerm absTerm 7405 def 7397 remove appTerm betaConv appThm 544 ref 4692 remove 7405 ref 1140 ref appTerm betaConv appThm appThm 7333 remove 7405 ref 7396 ref appTerm betaConv appThm appThm appThm nil 3553 ref 7396 ref nil cons 7406 def cons 3555 ref 1857 remove cons 7335 remove cons cons nil cons cons nil 3558 ref 7405 remove nil cons cons nil cons nil cons cons 3575 ref subst subst eqMp sym nil 1819 ref 68 ref 7395 ref 1140 ref appTerm 7407 def nil cons 7408 def cons nil cons cons nil cons cons 7409 def 86 ref subst 7409 remove 151 ref subst nil 1959 remove 4 ref 7394 remove nil cons cons nil cons 7410 def cons nil cons cons 381 ref subst 55 ref 1134 ref 33 ref 1246 remove 1152 ref subst 2769 remove 34 ref 1261 ref appTerm 7411 def refl appThm nil 267 ref 7411 ref nil cons 7412 def cons 2217 remove 2226 ref nil cons cons cons nil cons cons 267 ref 23 ref 5170 remove 268 ref appTerm appTerm 251 ref 5124 remove appTerm 5168 remove appTerm appTerm absTerm 7413 def 268 ref appTerm 7414 def betaConv 68 ref 198 ref 7413 ref appTerm 7415 def absTerm 7416 def 72 ref appTerm 7417 def betaConv 67 ref 198 ref 7416 ref appTerm 7418 def absTerm 7419 def 70 ref appTerm 7420 def betaConv nil 198 ref 7419 ref appTerm 7421 def axiom nil 67 ref 7421 remove nil cons cons 68 ref 7420 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 7419 remove nil cons cons 1580 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7418 remove nil cons cons 68 ref 7417 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 7416 remove nil cons cons 1596 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7415 remove nil cons cons 68 ref 7414 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 7413 remove nil cons cons 5135 ref cons nil cons cons 161 ref subst eqMp eqMp 7422 def subst trans trans appThm 7423 def 1269 ref 1152 ref subst 7424 def appThm absThm appThm trans sym nil 144 ref 1134 ref 23 ref 251 ref 2712 ref 7411 ref appTerm 7425 def appTerm 1155 ref 7411 remove appTerm 7426 def appTerm 7427 def appTerm 7428 def 7426 ref appTerm 7429 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 7429 remove nil cons 7430 def cons nil cons nil cons cons 106 ref subst 5011 remove nil 67 ref 5005 remove cons 68 ref 34 ref 7425 ref appTerm nil cons 7431 def cons nil cons cons nil cons cons 136 ref subst proveHyp 6109 remove nil 174 ref 68 ref 69 ref 69 ref 169 ref appTerm 7432 def 175 ref appTerm appTerm 7433 def 34 ref 75 ref 169 ref appTerm 7434 def 176 ref appTerm appTerm appTerm nil cons 7435 def cons nil cons 7436 def cons nil cons cons 7437 def 86 ref subst 7437 remove 151 ref subst 23 ref "_10503" 19 ref var 7438 def 69 ref 69 ref 7438 remove varTerm 7439 def appTerm 175 ref appTerm appTerm 34 ref 75 ref 7439 remove appTerm 176 ref appTerm appTerm appTerm absTerm 7440 def 169 ref appTerm 7441 def appTerm refl 7442 def 7440 ref 171 ref appTerm betaConv appThm 33 ref 7441 remove betaConv appThm 7443 def 69 ref 520 ref 175 ref appTerm appTerm 7444 def 34 ref 545 ref 176 ref appTerm appTerm appTerm refl appThm trans 7440 remove refl 7445 def 192 ref appThm eqMp sym 329 ref 4111 ref appThm 7446 def 35 ref 194 ref 549 ref subst appThm 400 ref trans appThm 3961 ref trans sym 105 ref eqMp eqMp eqMp nil 227 ref 114 ref 7435 ref cons nil cons 7447 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 231 ref 7436 remove cons nil cons cons 7448 def 86 ref subst 7448 remove 151 ref subst 7442 remove "_10501" 19 ref var 7449 def 69 ref 69 ref 7449 remove varTerm 7450 def appTerm 175 ref appTerm appTerm 34 ref 75 ref 7450 remove appTerm 176 ref appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 7443 remove 69 ref 2029 ref 175 ref appTerm appTerm 7451 def 34 ref 558 ref 176 ref appTerm appTerm appTerm refl appThm trans 7445 remove 238 ref appThm eqMp sym 329 ref 4102 remove appThm 7452 def 35 ref 194 ref 562 ref subst appThm 211 remove trans appThm 410 ref trans sym 105 ref eqMp eqMp eqMp nil 250 ref 7447 remove cons nil cons cons 127 ref subst deductAntisym eqMp 259 ref nil 250 ref 260 ref 261 ref 7435 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp subst eqMp nil 67 ref 7431 remove cons 68 ref 7430 remove cons nil cons cons nil cons cons 136 ref subst proveHyp nil 163 ref 7426 ref nil cons 7453 def cons 166 ref 7425 remove nil cons 7454 def cons nil cons cons nil cons cons nil 174 ref 68 ref 4087 ref 23 ref 4088 remove appTerm 175 ref appTerm appTerm nil cons 7455 def cons nil cons 7456 def cons nil cons cons 7457 def 86 ref subst 7457 remove 151 ref subst 23 ref "_10507" 19 ref var 7458 def 69 ref 34 ref 7458 remove varTerm 7459 def appTerm appTerm 23 ref 251 ref 7459 remove appTerm 175 ref appTerm appTerm 175 ref appTerm appTerm absTerm 7460 def 169 ref appTerm 7461 def appTerm refl 7462 def 7460 ref 171 ref appTerm betaConv appThm 33 ref 7461 remove betaConv appThm 7463 def 4098 remove 23 ref 4099 remove appTerm 175 ref appTerm appTerm refl appThm trans 7460 remove refl 7464 def 192 ref appThm eqMp sym 4101 remove 33 ref 4103 remove appThm 402 ref appThm 249 remove trans appThm 3961 ref trans sym 105 ref eqMp eqMp eqMp nil 227 ref 114 ref 7455 ref cons nil cons 7465 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 231 ref 7456 remove cons nil cons cons 7466 def 86 ref subst 7466 remove 151 ref subst 7462 remove "_10505" 19 ref var 7467 def 69 ref 34 ref 7467 remove varTerm 7468 def appTerm appTerm 23 ref 251 ref 7468 remove appTerm 175 ref appTerm appTerm 175 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 7463 remove 4108 remove 23 ref 4109 remove appTerm 175 ref appTerm appTerm refl appThm trans 7464 remove 238 ref appThm eqMp sym 4110 remove 33 ref 4112 remove appThm 402 remove appThm 403 ref trans appThm 4111 remove trans sym 105 ref eqMp eqMp eqMp nil 250 ref 7465 remove cons nil cons cons 127 ref subst deductAntisym eqMp 259 ref nil 250 ref 260 ref 261 ref 7455 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp absThm eqMp eqMp eqMp nil 1935 ref 114 ref 7408 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 997 ref 7407 remove appTerm nil cons cons 68 ref 4086 remove 7395 remove 7396 remove appTerm 7469 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1931 ref 68 ref 7469 remove nil cons 7470 def cons nil cons cons nil cons cons 7471 def 86 ref subst 7471 remove 151 ref subst nil 11 ref 7406 remove cons 7410 remove cons nil cons cons 381 ref subst 55 ref 1134 ref 7423 remove nil 1858 ref 1158 remove cons nil cons cons 1178 ref subst 1268 ref 7424 remove appThm trans appThm absThm appThm trans sym nil 144 ref 1134 ref 7428 remove 1267 remove 7426 remove appTerm 7472 def appTerm 7473 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 7473 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7427 ref nil cons 7474 def cons 68 ref 7472 ref nil cons 7475 def cons nil cons 7476 def cons nil cons cons 7477 def 348 ref subst 7477 ref 86 ref subst 7477 remove 151 ref subst nil 67 ref 7453 ref cons 7478 def 7476 ref cons nil cons cons 7479 def 86 ref subst 7479 remove 151 ref subst nil 2223 ref 114 ref 7412 ref cons nil cons 7480 def cons nil cons cons 7481 def 127 ref subst 7482 def 7481 remove 347 ref subst 7483 def 1268 remove 4223 ref 35 ref nil 67 ref 7412 remove cons 68 ref 23 ref 1261 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 4221 remove nil cons nil cons cons 1095 ref subst eqMp appThm 400 ref trans 7484 def appThm 941 ref trans 7485 def appThm 2241 ref trans sym 105 ref eqMp proveHyp proveHyp eqMp nil 112 ref 7453 ref cons 7486 def 114 ref 7475 ref cons nil cons 7487 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 7454 ref cons 7476 remove cons nil cons cons 7488 def 86 ref subst 7488 remove 151 ref subst nil 2231 ref 7480 remove cons nil cons cons 7489 def 127 ref subst 7489 remove 347 ref subst 3420 remove 7352 ref 7484 ref appThm 1363 ref trans appThm 1352 ref trans sym 105 ref eqMp proveHyp proveHyp eqMp nil 112 ref 7454 remove cons 7490 def 7487 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 7490 remove 114 ref 7453 remove cons 7491 def 261 ref 7475 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 7474 ref cons 7487 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 7427 ref appTerm 7472 ref appTerm nil cons cons 68 ref 69 ref 7472 remove appTerm 7427 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 7475 ref cons 68 ref 7474 ref cons nil cons 7492 def cons nil cons cons 7493 def 86 ref subst 7493 remove 151 ref subst nil 7478 remove 7492 ref cons nil cons cons 7494 def 86 ref subst 7494 remove 151 ref subst 7482 remove 7483 remove 1259 ref 2712 remove refl 7495 def 7484 remove appThm 2240 remove 1362 ref subst trans appThm 7485 remove appThm 2241 remove trans sym 105 ref eqMp proveHyp proveHyp eqMp nil 7486 remove 114 ref 7474 ref cons nil cons 7496 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2226 ref 7492 remove cons nil cons cons 7497 def 86 ref subst 7497 remove 151 ref subst 1259 ref 3647 remove 6095 ref appThm 941 ref trans appThm 7352 remove 6095 remove appThm 1363 ref trans appThm 1352 remove trans sym 105 ref eqMp eqMp nil 2231 ref 7496 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 2231 ref 7491 remove 261 ref 7474 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 7475 remove cons 7496 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp nil 1939 remove 114 ref 7470 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 7403 remove appTerm thm nil 1453 ref 1403 ref 23 ref 54 ref 41 ref 54 ref 296 ref 69 ref 2438 ref 1406 ref 297 ref appTerm 7498 def appTerm 7499 def appTerm 298 ref appTerm absTerm 7500 def appTerm 7501 def absTerm 7502 def appTerm 7503 def appTerm 5650 ref 5651 ref 54 ref 41 ref 220 ref 5652 ref 1412 ref appTerm 7504 def appTerm 7505 def 45 ref appTerm 7506 def absTerm appTerm 7507 def absTerm appTerm appTerm 7508 def absTerm 7509 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 7508 ref nil cons 7510 def cons nil cons nil cons cons 7511 def 106 ref subst 4 ref 23 ref 54 ref 41 ref 54 ref 296 ref 69 ref 621 ref 1189 ref 7499 ref appTerm 7512 def appTerm 7513 def appTerm 298 ref appTerm 7514 def absTerm 7515 def appTerm 7516 def absTerm 7517 def appTerm 7518 def appTerm 7519 def 5650 ref 5651 ref 54 ref 41 ref 690 ref 7506 ref appTerm 7520 def absTerm 7521 def appTerm 7522 def absTerm 7523 def appTerm 7524 def appTerm 7525 def absTerm 7526 def 6 ref appTerm 7527 def betaConv nil 317 ref 7526 ref nil cons cons 7528 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7525 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 5648 ref var 7529 def 5651 ref 23 ref 7522 ref appTerm 757 ref 795 ref 54 ref 41 ref 69 ref 1441 ref appTerm 7530 def 220 ref 5653 ref appTerm 7531 def 45 ref appTerm 7532 def appTerm 7533 def absTerm 7534 def appTerm 7535 def absTerm 7536 def appTerm 7537 def appTerm 7538 def absTerm 7539 def nil cons cons 7540 def nil cons nil cons cons "A" 5647 ref nil cons 7541 def cons nil cons 7542 def 218 ref cons 7543 def 326 ref subst 7544 def subst 5651 ref nil 99 ref 7538 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7522 ref nil cons 7545 def cons 7546 def 68 ref 7537 ref nil cons 7547 def cons nil cons cons nil cons cons 7548 def 348 ref subst 7548 ref 86 ref subst 7548 remove 151 ref subst nil 871 ref 7536 ref nil cons cons 7549 def nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 7535 remove nil cons 7550 def cons nil cons nil cons cons 106 ref subst nil 144 ref 7534 ref nil cons cons 7551 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7533 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 1441 remove nil cons 7552 def cons 7553 def 68 ref 7532 remove nil cons 7554 def cons nil cons cons nil cons cons 7555 def 86 ref subst 7555 remove 151 ref subst nil 1731 ref 114 ref 1430 remove cons nil cons cons nil cons cons 7556 def 127 ref subst 7557 def 7556 remove 347 ref subst 7558 def 23 ref "_12405" 721 ref var 7559 def 220 ref 5652 ref 7559 remove varTerm appTerm appTerm 45 ref appTerm absTerm 7560 def 799 ref appTerm 7561 def appTerm refl 7560 ref 1412 ref appTerm betaConv appThm 33 ref 7561 remove betaConv appThm 7506 ref refl 7562 def appThm trans 7560 remove refl 3185 ref appThm eqMp sym nil 1015 ref 68 ref 7506 ref nil cons 7563 def cons nil cons 7564 def cons nil cons cons 7565 def 136 ref subst 7521 ref 45 ref appTerm 7566 def betaConv nil 7546 remove 68 ref 7566 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 7521 remove nil cons cons 7567 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 7552 remove cons 7568 def 114 ref 7554 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 7545 ref cons 114 ref 7547 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 7522 ref appTerm 7537 ref appTerm nil cons cons 68 ref 69 ref 7537 remove appTerm 7522 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 7547 ref cons 7569 def 68 ref 7545 ref cons nil cons 7570 def cons nil cons cons 7571 def 86 ref subst 7571 remove 151 ref subst nil 7567 remove nil cons nil cons cons 326 ref subst 7572 def 41 ref nil 99 ref 7520 remove nil cons cons nil cons nil cons cons 106 ref subst 7573 def 7565 ref 86 ref subst 7574 def 7565 remove 151 ref subst 7575 def 1923 ref 2453 ref appThm 941 ref trans 7576 def sym 105 ref eqMp 7577 def nil 67 ref 621 ref 2449 remove appTerm 7578 def nil cons cons 7564 ref cons nil cons cons 136 ref subst proveHyp 3517 ref 7534 remove 45 ref appTerm 7579 def betaConv 7536 remove 799 ref appTerm 7580 def betaConv nil 7569 remove 68 ref 7580 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 7549 remove 1462 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7550 remove cons 68 ref 7579 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 7551 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 1731 ref 114 ref 7563 ref cons nil cons 7581 def cons nil cons cons 127 ref subst 7582 def deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 7547 remove cons 114 ref 7545 remove cons nil cons 7583 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp 7519 remove refl 7584 def 5696 ref 5651 ref 7539 ref 5652 ref appTerm 7585 def betaConv nil 67 ref 53 ref 5649 remove constTerm 7586 def 7539 remove appTerm nil cons cons 68 ref 7585 remove nil cons cons nil cons cons nil cons cons 136 ref subst 7542 ref 7540 remove "x" 5647 ref var 7587 def 5652 ref nil cons 7588 def cons nil cons 7589 def cons nil cons cons 161 ref subst eqMp eqMp absThm appThm appThm sym 7584 remove 33 ref 5696 ref 5651 ref 758 ref 795 ref 795 ref "_12407" 1 ref var 7590 def 54 ref 41 ref 7530 ref 220 ref 7590 remove varTerm appTerm 45 ref appTerm appTerm absTerm appTerm absTerm 7591 def absTerm 7592 def 799 ref appTerm betaConv 7593 def 5653 ref refl appThm 7591 ref 5653 ref appTerm betaConv trans absThm appThm absThm appThm appThm 758 ref 795 ref 40 ref 296 ref 7593 remove 3648 remove appThm 7591 remove 297 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 5699 remove 7592 remove nil cons cons nil cons nil cons cons 869 ref 1400 remove cons 218 ref cons 7594 def 5700 ref 23 ref 5705 remove appTerm 5703 remove appTerm 7595 def absTerm 7596 def 5701 remove appTerm 7597 def betaConv 2953 ref refl 7598 def 5700 remove 7595 remove assume sym 5706 remove assume sym deductAntisym absThm appThm 5710 remove eqMp nil 67 ref 2953 ref 7596 ref appTerm nil cons cons 68 ref 7597 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2955 ref 2956 ref 7596 remove nil cons cons 5711 remove cons nil cons cons 161 ref subst eqMp eqMp 7599 def subst subst eqMp appThm sym nil 67 ref 7518 ref nil cons 7600 def cons 7601 def 68 ref 757 ref 795 ref 39 ref 296 ref 54 ref 41 ref 7530 ref 301 ref appTerm absTerm appTerm absTerm 7602 def appTerm 7603 def absTerm 7604 def appTerm 7605 def nil cons 7606 def cons nil cons cons nil cons cons 7607 def 348 ref subst 7607 ref 86 ref subst 7607 remove 151 ref subst nil 871 ref 7604 ref nil cons cons 7608 def nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 7603 remove nil cons cons nil cons nil cons cons 106 ref subst 7602 ref "select" const 7609 def 18 ref 37 ref 2 ref cons opType constTerm 7610 def 5897 ref 75 ref 5968 ref appTerm 7611 def 5935 ref 799 ref appTerm 7612 def appTerm absTerm appTerm 7613 def appTerm betaConv sym nil 144 ref 41 ref 7530 remove 220 ref 7613 ref appTerm 45 ref appTerm 7614 def appTerm 7615 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7615 remove nil cons cons nil cons nil cons cons 106 ref subst nil 7553 remove 68 ref 7614 remove nil cons 7616 def cons nil cons 7617 def cons nil cons cons 7618 def 86 ref subst 7618 remove 151 ref subst 7557 remove 7558 remove 544 ref 3772 ref 7610 ref refl 5897 ref 7611 ref refl 5935 ref refl 3185 ref appThm appThm absThm appThm 7619 def appThm 1394 ref appThm appThm 1923 ref 2834 ref 2855 ref 7619 remove appThm appThm 2841 ref appThm appThm nil 99 ref 853 ref 1406 ref 7610 ref 5897 ref 7611 remove 5935 remove 1412 ref appTerm 7620 def appTerm absTerm 7621 def appTerm 7622 def appTerm appTerm 1412 ref appTerm nil cons cons nil cons nil cons cons 562 ref subst trans appThm sym 33 ref 7621 ref 7622 remove appTerm betaConv appThm 39 ref 7621 ref appTerm refl appThm 309 ref 56 ref 7621 ref nil cons 7623 def cons nil cons nil cons cons 23 ref 57 ref 7610 remove 57 ref appTerm appTerm 7624 def appTerm 7625 def refl nil 573 remove 56 ref 7624 ref absTerm 7626 def appTerm axiom 57 ref refl 7627 def appThm 7626 remove 57 ref appTerm betaConv trans appThm nil 166 ref 7624 ref nil cons 7628 def cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp subst eqMp sym 7621 remove 45 ref appTerm betaConv sym 7577 remove eqMp 309 ref 144 ref 7623 remove cons 311 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp nil 67 ref 75 ref 44 ref 7613 ref appTerm 28 ref appTerm appTerm 621 ref 853 ref 1406 ref 7613 ref appTerm appTerm 1412 ref appTerm appTerm appTerm nil cons cons 7617 remove cons nil cons cons 136 ref subst proveHyp nil 1157 remove 41 ref 7613 remove nil cons cons nil cons 7629 def cons nil cons cons 7515 ref 297 ref appTerm 7630 def betaConv 7517 ref 45 ref appTerm 7631 def betaConv nil 7601 remove 68 ref 7631 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 7517 remove nil cons cons 7632 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7516 remove nil cons 7633 def cons 68 ref 7630 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 7515 remove nil cons cons 7634 def 314 ref cons nil cons cons 161 ref subst eqMp eqMp 7635 def subst eqMp proveHyp proveHyp eqMp nil 7568 remove 114 ref 7616 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp 309 ref 144 ref 7602 remove nil cons cons 7629 remove cons nil cons cons 594 ref subst proveHyp eqMp absThm eqMp eqMp nil 112 ref 7600 ref cons 7636 def 114 ref 7606 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 7518 ref appTerm 7605 ref appTerm nil cons cons 68 ref 69 ref 7605 remove appTerm 7518 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 7606 ref cons 7637 def 68 ref 7600 ref cons nil cons 7638 def cons nil cons cons 7639 def 86 ref subst 7639 remove 151 ref subst nil 7632 remove nil cons nil cons cons 326 ref subst 7640 def 41 ref nil 99 ref 7633 remove cons nil cons nil cons cons 106 ref subst 7641 def nil 7634 remove nil cons nil cons cons 326 ref subst 7642 def 296 ref nil 99 ref 7514 remove nil cons cons nil cons nil cons cons 106 ref subst 7643 def nil 67 ref 7513 remove nil cons 7644 def cons 68 ref 1180 ref cons nil cons 7645 def cons nil cons cons 7646 def 86 ref subst 7647 def 7646 ref 151 ref subst 7648 def nil 1731 ref 114 ref 7512 ref nil cons cons nil cons cons nil cons cons 7649 def 127 ref subst 7650 def 7649 remove 347 ref subst 7651 def nil 6002 remove 114 ref 7499 ref nil cons 7652 def cons nil cons 7653 def cons nil cons cons 7654 def 127 ref subst 7655 def 7654 remove 347 ref subst 7656 def 7604 remove 1412 ref appTerm 7657 def betaConv nil 7637 remove 68 ref 7657 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 7608 remove 2448 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 39 ref 296 ref 54 ref 1134 ref 69 ref 1155 ref 2440 remove appTerm appTerm 7658 def 300 ref 1137 ref appTerm appTerm absTerm appTerm absTerm 7659 def appTerm 7660 def nil cons cons 7645 ref cons nil cons cons 136 ref subst proveHyp nil 144 ref 1171 ref 69 ref 7659 ref 1172 ref appTerm 7661 def appTerm 298 ref appTerm 7662 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1171 ref nil 99 ref 7662 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7661 ref nil cons 7663 def cons 7645 ref cons nil cons cons 7664 def 86 ref subst 7664 remove 151 ref subst 7661 ref betaConv 7661 remove assume eqMp nil 67 ref 54 ref 1134 ref 7658 remove 1174 ref 1137 ref appTerm appTerm absTerm 7665 def appTerm nil cons 7666 def cons 7667 def 7645 ref cons nil cons cons 7668 def 136 ref subst proveHyp 7668 ref 86 ref subst 7668 remove 151 ref subst 7665 ref 45 ref appTerm 7669 def betaConv nil 7667 ref 68 ref 7669 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 7665 ref nil cons cons 7670 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 7578 remove appTerm 1174 remove 45 ref appTerm 7671 def appTerm 7672 def nil cons cons 7645 ref cons nil cons cons 136 ref subst proveHyp 7665 remove 297 ref appTerm 7673 def betaConv nil 7667 remove 68 ref 7673 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 7670 remove 314 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 7512 remove appTerm 1175 ref appTerm nil cons cons 68 ref 69 ref 7672 remove appTerm 298 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 544 ref 5993 ref appThm 7674 def 2834 ref 7499 ref assume 7675 def appThm 7498 ref refl appThm nil 872 ref 7498 ref nil cons 7676 def cons nil cons nil cons cons 940 ref subst 7677 def trans 7678 def appThm 941 ref trans appThm 1175 ref refl appThm nil 99 ref 1175 ref nil cons 7679 def cons nil cons nil cons cons 2033 ref subst trans appThm 329 ref 329 ref 7576 remove appThm 7671 ref refl appThm nil 99 ref 7671 ref nil cons cons nil cons nil cons cons 2033 ref subst trans appThm 2202 ref appThm appThm sym nil 67 ref 7679 ref cons 68 ref 69 ref 7671 remove appTerm 298 ref appTerm nil cons 7680 def cons nil cons cons nil cons cons 7681 def 86 ref subst 7681 remove 151 ref subst 23 ref "_12409" 1 ref var 7682 def 69 ref 220 ref 7682 remove varTerm appTerm 45 ref appTerm appTerm 298 ref appTerm absTerm 7683 def 1172 ref appTerm 7684 def appTerm refl 7683 ref 297 ref appTerm betaConv appThm 33 ref 7684 remove betaConv appThm 69 ref 301 ref appTerm 298 ref appTerm refl appThm trans 7683 remove refl 1175 ref assume appThm eqMp sym nil 5997 remove 7645 ref cons nil cons cons 7685 def 86 ref subst 7685 remove 151 ref subst 6000 remove eqMp nil 6001 remove 114 ref 1180 ref cons nil cons 7686 def cons nil cons cons 127 ref subst deductAntisym eqMp 7687 def eqMp eqMp nil 112 ref 7679 remove cons 114 ref 7680 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 112 ref 7666 remove cons 7686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 7663 remove cons 7686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 1134 ref 69 ref 7659 ref 1137 ref appTerm appTerm 298 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 7660 remove appTerm 298 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 7659 remove nil cons cons 7686 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 7644 remove cons 7686 ref cons nil cons cons 127 ref subst 7688 def deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 7606 remove cons 114 ref 7600 remove cons nil cons 7689 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp proveHyp 7690 def eqMp absThm eqMp 7691 def nil 67 ref 288 ref 7526 remove appTerm 7692 def nil cons 7693 def cons 68 ref 7527 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 7528 remove 567 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 54 ref 41 ref 54 ref 296 ref 69 ref 828 ref 75 ref 1163 ref 6 ref appTerm appTerm 7499 ref appTerm appTerm appTerm 298 ref appTerm absTerm appTerm absTerm appTerm 7694 def appTerm 5650 ref 5651 ref 54 ref 41 ref 69 ref 595 remove appTerm 7695 def 7506 ref appTerm absTerm appTerm 7696 def absTerm appTerm appTerm nil cons cons 68 ref 7510 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 55 ref 41 ref 55 ref 296 ref 329 ref 1487 ref 544 ref 1160 ref 475 remove subst appThm 7499 ref refl 7697 def appThm nil 99 ref 7652 ref cons nil cons nil cons cons 562 ref subst 7698 def trans appThm 7698 remove trans appThm 2202 ref appThm absThm appThm absThm appThm 7699 def appThm 5696 ref 5651 ref 55 ref 41 ref 2028 ref 7562 ref appThm nil 99 ref 7563 ref cons nil cons nil cons cons 2033 ref subst trans absThm appThm 7700 def absThm appThm appThm appThm 7508 remove refl appThm 7511 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp absThm eqMp nil 1422 ref 7509 remove appTerm thm nil 317 ref 494 ref 506 ref 488 ref 27 ref 6237 remove 532 ref appTerm 7701 def appTerm 608 ref 498 ref appTerm 7702 def 485 ref 6239 remove appTerm appTerm 7703 def appTerm 7704 def absTerm 7705 def appTerm 7706 def absTerm 7707 def nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 7706 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 7705 remove nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 7704 remove nil cons cons nil cons nil cons cons 106 ref subst nil 11 ref 7703 ref nil cons cons 4 ref 7701 ref nil cons cons nil cons cons nil cons cons 381 ref subst sym nil 144 ref 41 ref 23 ref 46 ref 7701 remove appTerm appTerm 7708 def 46 ref 7703 remove appTerm appTerm 7709 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7709 remove nil cons cons nil cons nil cons cons 106 ref subst 7708 remove refl 366 ref 7702 remove refl 640 ref 6334 ref 6258 remove appThm appThm 429 ref 426 ref 40 ref 452 ref 4747 ref 292 ref 11 ref 6337 remove 6259 remove appThm absThm appThm appThm absThm appThm absThm appThm appThm 6262 remove 6378 ref subst eqMp appThm appThm appThm sym 33 ref nil 2057 remove 5100 ref cons nil cons cons 1152 ref subst 5834 ref 35 ref 542 ref appThm 3904 remove trans appThm trans appThm nil 11 ref 425 ref 426 ref 39 ref 452 ref 4746 ref 288 ref 11 ref 2540 ref 6265 remove appTerm absTerm appTerm 7710 def appTerm absTerm appTerm absTerm appTerm nil cons cons 5100 ref cons nil cons cons 632 ref subst 5834 ref 33 ref 366 ref 429 ref 426 ref 40 ref 452 ref 4747 ref 452 ref 7710 remove absTerm 7711 def 453 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 7711 ref 45 ref appTerm betaConv appThm nil 56 ref 7711 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 292 ref 11 ref 3880 ref 6275 remove appThm absThm appThm trans appThm trans appThm sym nil 6279 remove 68 ref 23 ref 5746 ref 288 ref 11 ref 34 ref 2071 ref appTerm 7712 def absTerm appTerm 7713 def appTerm appTerm 5746 ref 288 ref 11 ref 2540 ref 6282 remove appTerm absTerm appTerm appTerm appTerm nil cons 7714 def cons nil cons 7715 def cons nil cons cons 7716 def 86 ref subst 7716 remove 151 ref subst 23 ref "_10730" 19 ref var 7717 def 23 ref 75 ref 7717 remove varTerm appTerm 7718 def 7713 ref appTerm appTerm 7718 ref 288 ref 11 ref 2540 ref 7718 remove 1142 ref appTerm appTerm absTerm appTerm appTerm appTerm absTerm 7719 def 501 ref appTerm 7720 def appTerm refl 7721 def 7719 ref 171 ref appTerm betaConv appThm 33 ref 7720 remove betaConv appThm 7722 def 23 ref 545 ref 7713 ref appTerm appTerm 545 ref 288 ref 11 ref 2540 ref 2342 remove appTerm absTerm appTerm 7723 def appTerm appTerm refl appThm trans 7719 remove refl 7724 def 6293 remove appThm eqMp sym 33 ref nil 99 ref 7713 ref nil cons cons nil cons nil cons cons 7725 def 549 ref subst appThm nil 99 ref 7723 remove nil cons cons nil cons nil cons cons 549 ref subst appThm 554 ref trans sym 105 ref eqMp eqMp eqMp nil 6296 remove 114 ref 7714 ref cons nil cons 7726 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 6300 remove 7715 remove cons nil cons cons 7727 def 86 ref subst 7727 remove 151 ref subst 7721 remove "_10728" 19 ref var 7728 def 23 ref 75 ref 7728 remove varTerm appTerm 7729 def 7713 ref appTerm appTerm 7729 ref 288 ref 11 ref 2540 ref 7729 remove 1142 ref appTerm appTerm absTerm appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 7722 remove 23 ref 558 ref 7713 remove appTerm appTerm 558 ref 288 ref 11 ref 2540 ref 2354 remove appTerm absTerm appTerm 7730 def appTerm appTerm refl appThm trans 7724 remove 6304 remove appThm eqMp sym 33 ref 7725 remove 562 ref subst appThm nil 99 ref 7730 remove nil cons cons nil cons nil cons cons 562 ref subst 292 ref 11 ref 3880 ref 2357 ref appThm absThm appThm trans appThm sym 292 ref 11 ref nil 2375 remove 68 ref 23 ref 7712 remove appTerm 6381 remove appTerm nil cons 7731 def cons nil cons 7732 def cons nil cons cons 7733 def 86 ref subst 7733 remove 151 ref subst 23 ref "_10734" 19 ref var 7734 def 23 ref 34 ref 2063 ref 7734 remove varTerm 7735 def appTerm appTerm appTerm 2540 ref 34 ref 7735 remove appTerm appTerm appTerm absTerm 7736 def 47 ref appTerm 7737 def appTerm refl 7738 def 7736 ref 171 ref appTerm betaConv appThm 33 ref 7737 remove betaConv appThm 7739 def 23 ref 34 ref 2063 ref 171 ref appTerm appTerm appTerm 2540 ref 397 ref appTerm appTerm refl appThm trans 7736 remove refl 7740 def 2386 remove appThm eqMp sym 33 ref 35 ref 6295 remove appThm 400 ref trans appThm 3880 ref 400 ref appThm 6321 remove trans appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 2388 remove 114 ref 7731 ref cons nil cons 7741 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2392 remove 7732 remove cons nil cons cons 7742 def 86 ref subst 7742 remove 151 ref subst 7738 remove "_10732" 19 ref var 7743 def 23 ref 34 ref 2063 ref 7743 remove varTerm 7744 def appTerm appTerm appTerm 2540 ref 34 ref 7744 remove appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 7739 remove 23 ref 34 ref 2063 ref 91 ref appTerm appTerm appTerm 2540 ref 415 ref appTerm appTerm refl appThm trans 7740 remove 2397 remove appThm eqMp sym 33 ref 35 ref 6316 remove appThm appThm 3880 remove 417 ref appThm 6315 remove trans appThm nil 166 ref 3908 remove nil cons cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 2399 ref 7741 remove cons nil cons cons 127 ref subst deductAntisym eqMp 2401 remove nil 2399 remove 2402 remove 261 ref 7731 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp absThm appThm eqMp eqMp eqMp nil 6322 ref 7726 remove cons nil cons cons 127 ref subst deductAntisym eqMp 6324 remove nil 6322 remove 6325 remove 261 ref 7714 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 7707 remove appTerm thm nil 510 ref 488 ref 506 ref 2472 ref 69 ref 288 ref 356 ref 2489 ref 534 ref 1667 ref 75 ref 2518 ref appTerm 7745 def 2515 remove appTerm absTerm appTerm appTerm absTerm 7746 def appTerm 7747 def appTerm 686 ref 532 ref appTerm 3274 remove appTerm 7748 def appTerm 7749 def absTerm 7750 def appTerm 7751 def absTerm 7752 def nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 7751 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 7750 remove nil cons cons nil cons nil cons cons 1695 ref subst 2472 ref nil 99 ref 7749 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7747 remove nil cons 7753 def cons 7754 def 68 ref 7748 remove nil cons 7755 def cons nil cons cons nil cons cons 7756 def 86 ref subst 7756 remove 151 ref subst 3279 remove 700 ref subst 55 ref 41 ref 329 ref 542 ref appThm 7757 def 3280 remove appThm absThm appThm trans sym nil 144 ref 41 ref 2097 remove 3285 ref appTerm 7758 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7758 remove nil cons 7759 def cons nil cons nil cons cons 106 ref subst nil 317 ref 494 ref 69 ref 2072 remove 498 ref appTerm 7760 def appTerm 3285 ref appTerm 7761 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 7761 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7760 ref nil cons 7762 def cons 68 ref 3313 remove cons nil cons 7763 def cons nil cons cons 7764 def 86 ref subst 7764 remove 151 ref subst 7760 ref betaConv 7760 remove assume eqMp nil 67 ref 535 remove nil cons 7765 def cons 7763 ref cons nil cons cons 7766 def 136 ref subst proveHyp 7766 ref 86 ref subst 7766 remove 151 ref subst nil 112 ref 499 ref nil cons 7767 def cons 4078 ref cons nil cons cons 7768 def 127 ref subst 7769 def 7768 remove 347 ref subst 7746 ref 498 ref appTerm 7770 def betaConv nil 7754 remove 68 ref 7770 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 7746 remove nil cons cons 4039 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 500 ref 534 ref 1667 ref 7745 ref 4312 ref 2512 ref appTerm appTerm absTerm appTerm appTerm nil cons cons 7763 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 7767 ref cons nil cons nil cons cons 106 ref subst 499 remove assume eqMp 7771 def appThm 7772 def 543 ref 1667 ref 7745 ref refl nil 2528 remove 5100 remove cons nil cons cons 700 ref subst appThm absThm appThm appThm nil 99 ref 534 ref 1667 ref 7745 remove 54 ref 41 ref 6859 remove 2537 ref appTerm absTerm 7773 def appTerm 7774 def appTerm 7775 def absTerm 7776 def appTerm 7777 def nil cons cons nil cons nil cons cons 2033 ref subst trans appThm 3285 ref refl appThm sym nil 317 ref 1667 ref 69 ref 7776 ref 2512 ref appTerm 7778 def appTerm 3285 ref appTerm 7779 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 1667 ref nil 99 ref 7779 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7778 ref nil cons 7780 def cons 7763 ref cons nil cons cons 7781 def 86 ref subst 7781 remove 151 ref subst 7778 ref betaConv 7778 remove assume eqMp nil 67 ref 7775 remove nil cons 7782 def cons 7763 remove cons nil cons cons 7783 def 136 ref subst proveHyp 7783 ref 86 ref subst 7783 remove 151 ref subst nil 112 ref 2518 ref nil cons 7784 def cons 114 ref 7774 remove nil cons 7785 def cons nil cons cons nil cons cons 7786 def 127 ref subst 7786 remove 347 ref subst 3284 remove 2512 remove appTerm betaConv sym 544 ref nil 99 ref 7784 remove cons nil cons nil cons cons 106 ref subst 2518 remove assume eqMp appThm 2537 ref refl appThm nil 99 ref 2537 remove nil cons 7787 def cons nil cons nil cons cons 562 ref subst trans sym nil 5064 ref 68 ref 7787 remove cons nil cons cons nil cons cons 136 ref subst 7773 ref 45 ref appTerm 7788 def betaConv nil 67 ref 7785 remove cons 68 ref 7788 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 7773 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp eqMp 324 ref 3310 remove 2576 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 7782 remove cons 3315 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 7780 remove cons 3315 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 7776 ref 1822 ref appTerm appTerm 3285 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 7777 remove appTerm 3285 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 7776 remove nil cons cons 3315 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 7765 remove cons 3315 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 7762 remove cons 3315 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 2121 remove 3285 remove appTerm absTerm appTerm nil cons cons 68 ref 7759 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 2092 remove 3315 remove cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 7753 remove cons 114 ref 7755 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 7752 remove appTerm thm 2600 remove nil 2601 remove thm nil 317 ref 4 ref 54 ref 41 ref 54 ref 1134 ref 69 ref 281 remove 1154 ref appTerm 7789 def appTerm 23 ref 46 ref 1114 ref 1137 ref appTerm appTerm appTerm 1153 ref 1115 remove appTerm appTerm 7790 def appTerm 7791 def absTerm 7792 def appTerm 7793 def absTerm 7794 def appTerm 7795 def absTerm 7796 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7795 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 7794 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7793 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 7792 remove nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 7791 remove nil cons 7797 def cons nil cons nil cons cons 106 ref subst nil 67 ref 7789 ref nil cons 7798 def cons 68 ref 7790 ref nil cons 7799 def cons nil cons cons nil cons cons 7800 def 86 ref subst 7800 remove 151 ref subst 33 ref nil 296 ref 1138 remove cons nil cons nil cons cons 7801 def 1197 remove subst 7802 def 544 ref 7789 ref assume appThm 34 ref 1472 ref appTerm 7803 def refl appThm trans appThm 1198 ref appThm sym 1156 ref 35 ref 7801 remove 315 ref subst appThm 7804 def appThm eqMp eqMp nil 112 ref 7798 ref cons 114 ref 7799 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp 7805 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 7796 remove appTerm thm nil 317 ref 4 ref 54 ref 41 ref 54 ref 1134 ref 23 ref 7790 ref appTerm 7789 ref appTerm 7806 def absTerm 7807 def appTerm 7808 def absTerm 7809 def appTerm 7810 def absTerm 7811 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7810 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 7809 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7808 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 7807 remove nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 7806 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7799 remove cons 68 ref 7798 ref cons nil cons cons nil cons cons 348 ref subst 329 ref 33 ref 7802 remove appThm 1198 remove appThm appThm 7789 ref refl 7812 def appThm sym nil 67 ref 7803 ref nil cons 7813 def cons 7814 def 68 ref 69 ref 23 ref 621 ref 7803 ref appTerm appTerm 1202 remove appTerm appTerm 7789 ref appTerm nil cons 7815 def cons nil cons 7816 def cons nil cons cons 7817 def 86 ref subst 7817 remove 151 ref subst 329 ref 33 ref 1357 ref 35 ref nil 7814 remove 68 ref 23 ref 1472 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 6899 ref nil cons nil cons cons 1095 ref subst eqMp appThm 400 ref trans appThm 1363 ref trans appThm 1156 ref 35 ref 7804 remove 7803 remove assume eqMp 3406 remove proveHyp 3408 remove eqMp appThm 400 ref trans appThm 3412 remove trans appThm appThm 7812 remove appThm nil 99 ref 7798 remove cons nil cons nil cons cons 409 ref subst trans sym 105 ref eqMp eqMp nil 112 ref 7813 ref cons 114 ref 7815 ref cons nil cons 7818 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 3771 ref cons 7816 remove cons nil cons cons 7819 def 86 ref subst 7819 remove 151 ref subst 329 ref 33 ref 544 ref 3775 ref appThm 35 ref 3417 ref 3773 ref appThm 1137 ref refl appThm 6934 ref trans appThm 417 ref trans appThm 3613 ref trans appThm 1156 remove 35 ref 3581 remove 3773 remove appThm 6934 remove trans appThm 417 ref trans appThm 3613 remove trans appThm 554 ref trans appThm 33 ref 3775 remove appThm 1471 ref appThm 3605 remove trans appThm 3961 ref trans sym 105 ref eqMp eqMp nil 6899 ref 7818 remove cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 1472 remove appTerm 7820 def betaConv 1384 ref nil 1385 ref 68 ref 7820 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 166 ref 3771 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 6899 remove 114 ref 7813 remove cons 261 ref 7815 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp nil 67 ref 69 ref 7790 remove appTerm 7789 remove appTerm nil cons cons 68 ref 7797 remove cons nil cons cons nil cons cons 151 ref subst proveHyp 7805 remove eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 7811 remove appTerm thm 4851 remove nil 4852 remove thm 6734 ref 1461 ref 1429 ref 1403 ref 292 ref 4 ref 33 ref 758 ref 795 ref 329 ref 1469 ref appThm 7821 def 1461 ref varTerm 7822 def 799 ref appTerm 7823 def refl 7824 def appThm absThm appThm appThm 54 ref 41 ref 690 ref 7822 ref 1412 ref appTerm 7825 def appTerm 7826 def absTerm 7827 def appTerm 7828 def refl appThm absThm appThm absThm appThm absThm appThm sym nil 6753 ref 1461 ref 1422 ref 1403 ref 288 ref 4 ref 23 ref 757 ref 795 ref 5840 ref 7823 ref appTerm 7829 def absTerm 7830 def appTerm 7831 def appTerm 7828 ref appTerm 7832 def absTerm 7833 def appTerm 7834 def absTerm 7835 def appTerm 7836 def absTerm nil cons cons nil cons nil cons cons 6755 ref subst 1461 ref nil 99 ref 7836 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 7835 remove nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 7834 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7833 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7832 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7831 ref nil cons 7837 def cons 7838 def 68 ref 7828 ref nil cons 7839 def cons nil cons cons nil cons cons 7840 def 348 ref subst 7840 ref 86 ref subst 7840 remove 151 ref subst nil 144 ref 7827 ref nil cons cons 7841 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7826 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 7825 ref nil cons 7842 def cons nil cons 7843 def cons nil cons cons 7844 def 86 ref subst 7844 ref 151 ref subst 3529 ref nil 5637 ref 7843 remove cons nil cons cons 136 ref subst proveHyp 3517 remove 7830 ref 799 ref appTerm 7845 def betaConv nil 7838 remove 68 ref 7845 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 7830 remove nil cons cons 7846 def 1462 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 1731 ref 114 ref 7842 ref cons nil cons 7847 def cons nil cons cons 7848 def 127 ref subst 7849 def deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 7837 ref cons 114 ref 7839 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 7831 ref appTerm 7828 ref appTerm nil cons cons 68 ref 69 ref 7828 ref appTerm 7831 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 7839 ref cons 7850 def 68 ref 7837 ref cons nil cons cons nil cons cons 7851 def 86 ref subst 7851 remove 151 ref subst nil 7846 remove nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 7829 remove nil cons 7852 def cons nil cons nil cons cons 106 ref subst nil 144 ref 41 ref 5820 ref 7823 ref appTerm 7853 def absTerm 7854 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7853 remove nil cons cons nil cons nil cons cons 106 ref subst nil 5824 ref 68 ref 7823 ref nil cons 7855 def cons nil cons 7856 def cons nil cons cons 7857 def 86 ref subst 7857 remove 151 ref subst 5827 ref nil 5829 ref 7856 remove cons nil cons cons 7858 def 136 ref subst proveHyp 7858 ref 86 ref subst 7858 remove 151 ref subst 5832 ref 5833 ref 7822 ref refl 7859 def 3185 ref appThm sym 7860 def 7844 remove 136 ref subst 7827 remove 45 ref appTerm 7861 def betaConv nil 7850 remove 68 ref 7861 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 7841 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 5837 ref 114 ref 7855 ref cons nil cons 7862 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 5839 ref 7862 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 7854 remove appTerm nil cons cons 68 ref 7852 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 5842 ref 7862 ref cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp eqMp nil 112 ref 7839 remove cons 114 ref 7837 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 7863 def nil 6727 ref 1461 ref 1422 ref 1403 ref 288 ref 4 ref 23 ref 757 ref 795 ref 69 ref 1409 ref appTerm 7864 def 7823 ref appTerm absTerm appTerm appTerm 7828 remove appTerm absTerm 7865 def appTerm 7866 def absTerm 7867 def appTerm 7868 def absTerm 7869 def appTerm 7870 def thm 6734 ref 1461 ref 1429 ref 1403 ref 292 ref 4 ref 33 ref 826 ref 795 ref 544 ref 1469 ref appThm 7824 remove appThm absThm appThm appThm 39 ref 41 ref 621 ref 7825 ref appTerm 7871 def absTerm 7872 def appTerm 7873 def refl appThm absThm appThm absThm appThm absThm appThm sym nil 6753 ref 1461 ref 1422 ref 1403 ref 288 ref 4 ref 23 ref 794 ref 795 ref 5615 remove 7823 ref appTerm 7874 def absTerm 7875 def appTerm 7876 def appTerm 7873 ref appTerm 7877 def absTerm 7878 def appTerm 7879 def absTerm 7880 def appTerm 7881 def absTerm nil cons cons nil cons nil cons cons 6755 ref subst 1461 ref nil 99 ref 7881 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 7880 remove nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 7879 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7878 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7877 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7876 ref nil cons 7882 def cons 68 ref 7873 ref nil cons 7883 def cons nil cons 7884 def cons nil cons cons 348 ref subst nil 871 ref 795 ref 69 ref 7875 ref 799 ref appTerm 7885 def appTerm 7873 ref appTerm 7886 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 7886 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7885 ref nil cons 7887 def cons 7884 ref cons nil cons cons 7888 def 86 ref subst 7888 remove 151 ref subst 7885 ref betaConv 7885 remove assume eqMp nil 67 ref 7874 remove nil cons 7889 def cons 7884 ref cons nil cons cons 7890 def 136 ref subst proveHyp 7890 ref 86 ref subst 7890 remove 151 ref subst nil 112 ref 5817 ref cons 7862 remove cons nil cons cons 7891 def 127 ref subst 7891 remove 347 ref subst nil 67 ref 5817 ref cons 7884 ref cons nil cons cons 136 ref subst nil 144 ref 41 ref 5820 ref 7873 ref appTerm 7892 def absTerm 7893 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7892 remove nil cons cons nil cons nil cons cons 106 ref subst nil 5824 ref 7884 ref cons nil cons cons 7894 def 86 ref subst 7894 remove 151 ref subst 5827 ref nil 5829 ref 7884 remove cons nil cons cons 7895 def 136 ref subst proveHyp 7895 ref 86 ref subst 7895 remove 151 ref subst 5832 ref 5833 ref 7872 ref 45 ref appTerm 7896 def betaConv 7897 def sym 1923 ref 7860 remove nil 99 ref 7855 remove cons nil cons nil cons cons 106 ref subst 7823 ref assume eqMp trans appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 7872 remove nil cons cons 7898 def 311 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 5837 ref 114 ref 7883 remove cons nil cons 7899 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 5839 ref 7899 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 7893 remove appTerm nil cons cons 68 ref 5840 ref 7873 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 5842 ref 7899 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 7889 remove cons 7899 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 7887 remove cons 7899 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 7875 ref 910 ref appTerm appTerm 7873 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 7876 ref appTerm 7873 ref appTerm nil cons 7900 def cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 7875 ref nil cons cons 7901 def 7899 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 7900 remove cons 68 ref 69 ref 7873 ref appTerm 7876 ref appTerm nil cons cons nil cons 7902 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 41 ref 69 ref 7896 ref appTerm 7876 remove appTerm 7903 def absTerm 7904 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 7903 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7896 ref nil cons 7905 def cons 68 ref 7882 ref cons nil cons 7906 def cons nil cons cons 7907 def 86 ref subst 7907 remove 151 ref subst 7897 remove 7896 remove assume eqMp nil 67 ref 7871 remove nil cons 7908 def cons 7906 remove cons nil cons cons 7909 def 136 ref subst proveHyp 7909 ref 86 ref subst 7909 remove 151 ref subst 7849 remove 7848 remove 347 ref subst 7875 remove 1412 ref appTerm betaConv sym 5636 ref refl nil 99 ref 7842 remove cons nil cons nil cons cons 106 ref subst 7825 ref assume eqMp 7910 def appThm nil 99 ref 3526 ref cons nil cons nil cons cons 7911 def 1362 ref subst trans sym 3529 ref eqMp eqMp 870 ref 7901 remove 2448 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 7908 remove cons 114 ref 7882 remove cons nil cons 7912 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 7905 remove cons 7912 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 7904 remove appTerm nil cons cons 7902 remove cons nil cons cons 136 ref subst proveHyp 309 ref 7898 remove 7912 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 6727 ref 1461 ref 1422 ref 1403 ref 288 ref 4 ref 23 ref 794 ref 795 ref 75 ref 1409 ref appTerm 7823 ref appTerm absTerm appTerm appTerm 7873 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 7302 ref 3063 ref 288 ref 4 ref 1433 ref 3073 remove appTerm 3070 remove appTerm 7913 def absTerm 7914 def appTerm 7915 def absTerm 7916 def nil cons cons nil cons nil cons cons 7310 ref subst 3063 ref nil 99 ref 7915 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7914 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7913 remove nil cons cons nil cons nil cons cons 106 ref subst 3159 ref eqMp absThm eqMp eqMp absThm eqMp nil 7313 ref 7916 remove appTerm thm nil 7302 ref 3063 ref 288 ref 4 ref 1433 ref 2899 ref 3072 remove appTerm 7917 def appTerm 1435 ref 1436 ref 794 ref 795 ref 1440 ref 39 ref 41 ref 621 ref 3066 remove appTerm absTerm 7918 def appTerm 7919 def appTerm absTerm appTerm absTerm 7920 def appTerm 7921 def appTerm 7922 def absTerm 7923 def appTerm 7924 def absTerm 7925 def nil cons cons nil cons nil cons cons 7310 ref subst 3063 ref nil 99 ref 7924 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7923 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7922 remove nil cons cons nil cons nil cons cons 106 ref subst nil 783 ref 7921 remove nil cons cons 1548 ref 7917 remove nil cons cons nil cons cons nil cons cons 1551 ref subst sym 758 ref 872 ref 33 ref 3074 remove 2908 ref subst 2910 ref 783 ref 544 ref 3077 remove appThm 2919 remove appThm absThm appThm trans appThm nil 1461 ref 7920 ref nil cons cons nil cons nil cons cons 1631 ref subst 7920 remove 910 ref appTerm betaConv trans appThm absThm appThm sym nil 871 ref 872 ref 23 ref 2909 ref 783 ref 75 ref 3080 ref appTerm 1553 ref appTerm 7926 def absTerm 7927 def appTerm 7928 def appTerm 794 ref 795 ref 2779 remove 7919 ref appTerm 7929 def absTerm 7930 def appTerm 7931 def appTerm 7932 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 7932 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7928 ref nil cons 7933 def cons 68 ref 7931 ref nil cons 7934 def cons nil cons 7935 def cons nil cons cons 348 ref subst nil 820 ref 783 ref 69 ref 7927 ref 789 ref appTerm 7936 def appTerm 7931 ref appTerm 7937 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 7937 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7936 ref nil cons 7938 def cons 7935 ref cons nil cons cons 7939 def 86 ref subst 7939 remove 151 ref subst 7936 ref betaConv 7936 remove assume eqMp nil 67 ref 7926 remove nil cons 7940 def cons 7935 ref cons nil cons cons 7941 def 136 ref subst proveHyp 7941 ref 86 ref subst 7941 remove 151 ref subst nil 112 ref 3080 remove nil cons 7942 def cons 3154 ref cons nil cons cons 7943 def 127 ref subst 7943 remove 347 ref subst nil 67 ref 7942 remove cons 7935 ref cons nil cons cons 136 ref subst nil 144 ref 1134 ref 3131 remove 7931 ref appTerm 7944 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 7944 remove nil cons cons nil cons nil cons cons 106 ref subst nil 3134 remove 7935 ref cons nil cons cons 7945 def 86 ref subst 7945 remove 151 ref subst 3136 remove nil 3140 remove 7935 remove cons nil cons cons 7946 def 136 ref subst proveHyp 7946 ref 86 ref subst 7946 remove 151 ref subst 3144 remove 3145 remove 7930 ref 910 ref appTerm betaConv sym 3093 remove 39 ref 41 ref 621 ref 3094 remove appTerm absTerm 7947 def appTerm 7948 def refl appThm nil 99 ref 7948 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym 7947 ref 1137 ref appTerm betaConv sym 4223 ref 4810 remove appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 7947 remove nil cons cons 1139 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 870 ref 871 ref 7930 ref nil cons cons 7949 def 3115 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 3153 remove 114 ref 7934 remove cons nil cons 7950 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 3155 remove 7950 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 3156 remove 7931 ref appTerm absTerm appTerm nil cons cons 68 ref 3081 remove 7931 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 3157 remove 7950 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 7940 remove cons 7950 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 7938 remove cons 7950 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 812 ref 821 ref 69 ref 7927 ref 4818 ref appTerm appTerm 7931 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 7928 ref appTerm 7931 ref appTerm nil cons 7951 def cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 7927 ref nil cons cons 7952 def 7950 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 7951 remove cons 68 ref 69 ref 7931 remove appTerm 7928 ref appTerm nil cons cons nil cons 7953 def cons nil cons cons 151 ref subst proveHyp nil 871 ref 795 ref 69 ref 7930 ref 799 ref appTerm 7954 def appTerm 7928 ref appTerm 7955 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 7955 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7954 ref nil cons 7956 def cons 68 ref 7933 ref cons nil cons 7957 def cons nil cons cons 7958 def 86 ref subst 7958 remove 151 ref subst 7954 ref betaConv 7954 remove assume eqMp nil 67 ref 7929 remove nil cons 7959 def cons 7957 ref cons nil cons cons 7960 def 136 ref subst proveHyp 7960 ref 86 ref subst 7960 remove 151 ref subst nil 3125 remove 114 ref 7919 ref nil cons 7961 def cons nil cons cons nil cons cons 7962 def 127 ref subst 7962 remove 347 ref subst nil 67 ref 7961 remove cons 7957 ref cons nil cons cons 136 ref subst nil 144 ref 1134 ref 69 ref 7918 ref 1137 ref appTerm 7963 def appTerm 7928 ref appTerm 7964 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 7964 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7963 ref nil cons 7965 def cons 7957 ref cons nil cons cons 7966 def 86 ref subst 7966 remove 151 ref subst 7963 ref betaConv 7963 remove assume eqMp nil 67 ref 1155 ref 3150 ref appTerm nil cons 7967 def cons 7957 remove cons nil cons cons 7968 def 136 ref subst proveHyp 7968 ref 86 ref subst 7968 remove 151 ref subst nil 2223 remove 114 ref 3151 ref cons nil cons cons nil cons cons 7969 def 127 ref subst 7969 remove 347 ref subst 7927 remove 3096 remove appTerm betaConv sym 75 ref 3108 remove appTerm refl 3148 remove 4845 remove appThm nil 99 ref 3151 remove cons nil cons nil cons cons 106 ref subst 3150 remove assume eqMp trans appThm nil 99 ref 3109 remove cons nil cons nil cons cons 1362 ref subst trans sym 3107 remove eqMp eqMp 819 ref 7952 remove 3105 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 7967 remove cons 114 ref 7933 remove cons nil cons 7970 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 7965 remove cons 7970 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 7918 ref 45 ref appTerm appTerm 7928 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 7919 remove appTerm 7928 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 7918 remove nil cons cons 7970 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 7959 remove cons 7970 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 7956 remove cons 7970 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 2785 ref 69 ref 7930 remove 2786 ref appTerm appTerm 7928 remove appTerm absTerm appTerm nil cons cons 7953 remove cons nil cons cons 136 ref subst proveHyp 870 ref 7949 remove 7970 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp 7971 def eqMp absThm eqMp eqMp absThm eqMp nil 7313 ref 7925 remove appTerm thm 53 ref 18 ref 811 ref 20 ref cons opType constTerm 7972 def refl 7973 def 2962 ref 1429 ref 1403 ref 292 ref 4 ref 33 ref 1522 ref 783 ref 329 ref nil 596 ref 1550 ref cons nil cons cons 7974 def 6998 ref 30 ref appTerm 7975 def betaConv 7000 ref 1617 ref appTerm 7976 def betaConv 7002 ref 1406 ref appTerm 7977 def betaConv 6993 remove nil 67 ref 7003 remove nil cons cons 68 ref 7977 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 7002 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7001 remove nil cons cons 68 ref 7976 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 7000 remove nil cons cons 3816 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6999 remove nil cons cons 68 ref 7975 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 6998 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp subst 7978 def appThm 2962 ref varTerm 7979 def 789 ref appTerm 7980 def refl 7981 def appThm absThm appThm appThm 288 ref 11 ref 69 ref 959 ref appTerm 7979 ref 4446 ref appTerm 7982 def appTerm 7983 def absTerm 7984 def appTerm 7985 def refl appThm absThm appThm absThm appThm absThm appThm sym nil "P" 811 remove var 7986 def 2962 ref 1422 ref 1403 ref 288 ref 4 ref 23 ref 812 ref 783 ref 69 ref 534 ref 494 ref 75 ref 4312 remove 28 ref appTerm 7987 def appTerm 7988 def 1515 ref 6853 ref appTerm 7989 def appTerm 7990 def absTerm 7991 def appTerm 7992 def appTerm 7993 def 7980 ref appTerm 7994 def absTerm 7995 def appTerm 7996 def appTerm 7985 ref appTerm 7997 def absTerm 7998 def appTerm 7999 def absTerm 8000 def appTerm 8001 def absTerm nil cons cons nil cons nil cons cons "A" 804 ref cons nil cons 218 ref cons 326 ref subst 8002 def subst 2962 ref nil 99 ref 8001 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 8000 remove nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 7999 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 7998 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 7997 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7996 ref nil cons 8003 def cons 8004 def 68 ref 7985 ref nil cons 8005 def cons nil cons cons nil cons cons 8006 def 348 ref subst 8006 ref 86 ref subst 8006 remove 151 ref subst nil 317 ref 7984 ref nil cons cons 8007 def nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 7983 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1071 ref 68 ref 7982 ref nil cons 8008 def cons nil cons 8009 def cons nil cons cons 8010 def 86 ref subst 8010 remove 151 ref subst 494 ref 7988 ref 1433 ref 4446 ref appTerm 6853 ref appTerm appTerm absTerm 8011 def 30 ref appTerm betaConv sym 544 ref 1078 remove appThm nil 821 ref 4447 remove cons nil cons 8012 def nil cons cons 1606 ref subst appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 8011 ref nil cons cons 361 ref cons nil cons cons 594 ref subst proveHyp 8013 def nil 67 ref 534 ref 8011 remove appTerm 8014 def nil cons 8015 def cons 8009 remove cons nil cons cons 136 ref subst proveHyp 6848 remove 7995 ref 789 ref appTerm 8016 def betaConv nil 8004 remove 68 ref 8016 remove nil cons cons nil cons cons nil cons cons 136 ref subst 819 ref 820 ref 7995 remove nil cons cons 8017 def 823 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 1064 ref 114 ref 8008 ref cons nil cons 8018 def cons nil cons cons 8019 def 127 ref subst 8020 def deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 8003 ref cons 114 ref 8005 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 7996 ref appTerm 7985 ref appTerm nil cons cons 68 ref 69 ref 7985 ref appTerm 7996 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 8005 ref cons 8021 def 68 ref 8003 ref cons nil cons cons nil cons cons 8022 def 86 ref subst 8022 remove 151 ref subst nil 8017 remove nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 7994 remove nil cons 8023 def cons nil cons nil cons cons 106 ref subst nil 317 ref 494 ref 69 ref 7991 ref 498 ref appTerm 8024 def appTerm 8025 def 7980 ref appTerm 8026 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 8026 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8024 ref nil cons 8027 def cons 8028 def 68 ref 7980 ref nil cons 8029 def cons nil cons 8030 def cons nil cons cons 8031 def 86 ref subst 8031 remove 151 ref subst 8024 ref betaConv 8024 remove assume eqMp 8032 def nil 67 ref 7990 remove nil cons 8033 def cons 8034 def 8030 remove cons nil cons cons 8035 def 136 ref subst proveHyp 8035 ref 86 ref subst 8035 remove 151 ref subst nil 112 ref 7987 ref nil cons 8036 def cons 8037 def 114 ref 7989 ref nil cons cons nil cons 8038 def cons nil cons cons 8039 def 127 ref subst 8040 def 8039 remove 347 ref subst 8041 def 23 ref "_10583" 731 ref var 8042 def 7979 ref 8042 remove varTerm appTerm absTerm 8043 def 789 ref appTerm 8044 def appTerm refl 8043 ref 6853 ref appTerm betaConv appThm 33 ref 8044 remove betaConv appThm 7979 remove 6853 ref appTerm 8045 def refl appThm trans 8043 remove refl 7989 ref assume appThm eqMp sym 8046 def nil 67 ref 8036 ref cons 68 ref 8045 remove nil cons cons nil cons cons nil cons cons 136 ref subst 4299 remove 7984 remove 30 ref appTerm 8047 def betaConv nil 8021 remove 68 ref 8047 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 8007 remove 361 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 8033 remove cons 8048 def 114 ref 8029 ref cons nil cons 8049 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8027 remove cons 8050 def 8049 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 7991 ref 1822 ref appTerm appTerm 8051 def 7980 ref appTerm absTerm appTerm nil cons cons 68 ref 8023 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 7991 remove nil cons cons 8052 def 8049 ref cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp eqMp nil 112 ref 8005 remove cons 114 ref 8003 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 7972 ref 2962 ref 1422 ref 1403 ref 288 ref 4 ref 23 ref 812 ref 783 ref 69 ref 5738 ref 1408 ref appTerm 8053 def appTerm 7980 ref appTerm absTerm 8054 def appTerm 8055 def appTerm 8056 def 7985 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 7973 remove 2962 ref 1429 ref 1403 ref 292 ref 4 ref 33 ref 2910 ref 783 ref 544 ref 7978 remove appThm 7981 ref appThm absThm appThm appThm 534 ref 11 ref 75 ref 959 ref appTerm 8057 def 7982 ref appTerm 8058 def absTerm 8059 def appTerm 8060 def refl appThm absThm appThm absThm appThm absThm appThm sym nil 7986 ref 2962 ref 1422 ref 1403 ref 288 ref 4 ref 23 ref 2909 ref 783 ref 75 ref 7992 ref appTerm 7980 ref appTerm 8061 def absTerm 8062 def appTerm 8063 def appTerm 8060 ref appTerm 8064 def absTerm 8065 def appTerm 8066 def absTerm 8067 def appTerm 8068 def absTerm nil cons cons nil cons nil cons cons 8002 ref subst 2962 ref nil 99 ref 8068 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 8067 remove nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 8066 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 8065 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 8064 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8063 ref nil cons 8069 def cons 68 ref 8060 ref nil cons 8070 def cons nil cons 8071 def cons nil cons cons 348 ref subst nil 820 ref 783 ref 69 ref 8062 ref 789 ref appTerm 8072 def appTerm 8060 ref appTerm 8073 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 8073 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8072 ref nil cons 8074 def cons 8071 ref cons nil cons cons 8075 def 86 ref subst 8075 remove 151 ref subst 8072 ref betaConv 8072 remove assume eqMp nil 67 ref 8061 remove nil cons 8076 def cons 8071 ref cons nil cons cons 8077 def 136 ref subst proveHyp 8077 ref 86 ref subst 8077 remove 151 ref subst nil 112 ref 7992 remove nil cons 8078 def cons 8049 ref cons nil cons cons 8079 def 127 ref subst 8079 remove 347 ref subst nil 67 ref 8078 remove cons 8071 ref cons nil cons cons 136 ref subst nil 317 ref 494 ref 8025 remove 8060 ref appTerm 8080 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 8080 remove nil cons cons nil cons nil cons cons 106 ref subst nil 8028 remove 8071 ref cons nil cons cons 8081 def 86 ref subst 8081 remove 151 ref subst 8032 remove nil 8034 remove 8071 remove cons nil cons cons 8082 def 136 ref subst proveHyp 8082 ref 86 ref subst 8082 remove 151 ref subst 8040 remove 8041 remove 8059 ref 498 ref appTerm betaConv sym 544 ref nil 99 ref 8036 remove cons nil cons nil cons cons 106 ref subst 7987 remove assume eqMp appThm 8083 def 8046 remove nil 99 ref 8029 ref cons nil cons nil cons cons 106 ref subst 7980 ref assume eqMp trans 8084 def appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 8059 ref nil cons cons 8085 def 4039 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 8048 remove 114 ref 8070 remove cons nil cons 8086 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 8050 remove 8086 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 8051 remove 8060 ref appTerm absTerm appTerm nil cons cons 68 ref 7993 remove 8060 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 8052 remove 8086 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 8076 remove cons 8086 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8074 remove cons 8086 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 812 ref 821 ref 69 ref 8062 ref 4818 ref appTerm appTerm 8060 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8063 ref appTerm 8060 ref appTerm nil cons 8087 def cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 8062 ref nil cons cons 8088 def 8086 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 8087 remove cons 68 ref 69 ref 8060 ref appTerm 8063 ref appTerm nil cons cons nil cons 8089 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 11 ref 69 ref 8059 ref 30 ref appTerm 8090 def appTerm 8063 ref appTerm 8091 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 8091 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8090 ref nil cons 8092 def cons 68 ref 8069 ref cons nil cons 8093 def cons nil cons cons 8094 def 86 ref subst 8094 remove 151 ref subst 8090 ref betaConv 8090 remove assume eqMp nil 67 ref 8058 remove nil cons 8095 def cons 8093 remove cons nil cons cons 8096 def 136 ref subst proveHyp 8096 ref 86 ref subst 8096 remove 151 ref subst 8020 remove 8019 remove 347 ref subst 8062 remove 4446 ref appTerm betaConv sym 75 ref 8014 remove appTerm refl nil 99 ref 8008 ref cons nil cons nil cons cons 106 ref subst 7982 ref assume eqMp 8097 def appThm nil 99 ref 8015 remove cons nil cons nil cons cons 1362 ref subst trans sym 8013 remove eqMp eqMp 819 ref 8088 remove 8012 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 8095 remove cons 114 ref 8069 remove cons nil cons 8098 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8092 remove cons 8098 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 8059 remove 1822 ref appTerm appTerm 8063 remove appTerm absTerm appTerm nil cons cons 8089 remove cons nil cons cons 136 ref subst proveHyp 324 ref 8085 remove 8098 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 7972 ref 2962 ref 1422 ref 1403 ref 288 ref 4 ref 23 ref 2909 ref 783 ref 75 ref 8053 ref appTerm 8099 def 7980 ref appTerm absTerm 8100 def appTerm 8101 def appTerm 8102 def 8060 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 442 ref 56 ref 1429 ref 1403 ref nil 783 ref 1407 ref 4739 ref appTerm 8103 def nil cons cons 1548 ref 6717 ref nil cons cons nil cons cons nil cons cons 1551 ref subst 758 ref 872 ref 33 ref nil 6735 remove nil cons nil cons cons 1631 remove subst 6716 remove 910 ref appTerm betaConv trans appThm nil 4 ref 4742 remove cons 2408 ref cons nil cons cons 1469 ref subst 40 ref 41 ref 2906 ref 450 remove appThm absThm appThm trans appThm absThm appThm trans absThm appThm absThm appThm sym nil 140 ref 56 ref 1422 ref 1403 ref 757 ref 872 ref 23 ref 39 ref 41 ref 2413 ref 58 ref appTerm absTerm 8104 def appTerm 8105 def appTerm 39 ref 41 ref 2413 ref 39 ref 1134 ref 1473 remove 4797 ref appTerm absTerm appTerm appTerm absTerm 8106 def appTerm 8107 def appTerm 8108 def absTerm 8109 def appTerm 8110 def absTerm 8111 def appTerm 8112 def absTerm nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 8112 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 8111 remove nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 8110 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 8109 remove nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 8108 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8105 ref nil cons 8113 def cons 68 ref 8107 ref nil cons 8114 def cons nil cons 8115 def cons nil cons cons 348 ref subst nil 144 ref 1134 ref 69 ref 8104 ref 1137 ref appTerm 8116 def appTerm 8107 ref appTerm 8117 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 8117 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8116 ref nil cons 8118 def cons 8115 ref cons nil cons cons 8119 def 86 ref subst 8119 remove 151 ref subst 8116 ref betaConv 8116 remove assume eqMp nil 67 ref 2460 ref 4797 remove appTerm nil cons 8120 def cons 8115 remove cons nil cons cons 8121 def 136 ref subst proveHyp 8121 ref 86 ref subst 8121 remove 151 ref subst nil 2467 ref 4802 remove cons nil cons cons 8122 def 127 ref subst 8122 remove 347 ref subst 8106 ref 1137 ref appTerm 8123 def betaConv 8124 def sym 4481 ref 39 ref 2812 ref 6926 remove 57 ref 2813 ref appTerm 8125 def appTerm 8126 def absTerm 8127 def appTerm 8128 def refl appThm nil 99 ref 8128 ref nil cons 8129 def cons nil cons nil cons cons 562 ref subst trans sym 8127 ref 1137 ref appTerm betaConv sym 6935 remove 4808 remove appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 8127 ref nil cons cons 8130 def 1139 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 309 ref 144 ref 8106 ref nil cons cons 8131 def 1139 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 8120 remove cons 114 ref 8114 remove cons nil cons 8132 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8118 remove cons 8132 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 8104 ref 45 ref appTerm appTerm 8107 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8105 ref appTerm 8107 ref appTerm nil cons 8133 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 8104 ref nil cons cons 8134 def 8132 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 8133 remove cons 68 ref 69 ref 8107 remove appTerm 8105 ref appTerm nil cons cons nil cons 8135 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 1134 ref 69 ref 8123 ref appTerm 8105 ref appTerm 8136 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 8136 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8123 ref nil cons 8137 def cons 68 ref 8113 ref cons nil cons 8138 def cons nil cons cons 8139 def 86 ref subst 8139 remove 151 ref subst 8124 remove 8123 remove assume eqMp nil 67 ref 2460 ref 8128 ref appTerm nil cons 8140 def cons 8138 ref cons nil cons cons 8141 def 136 ref subst proveHyp 8141 ref 86 ref subst 8141 remove 151 ref subst nil 2467 ref 114 ref 8129 ref cons nil cons cons nil cons cons 8142 def 127 ref subst 8142 remove 347 ref subst nil 67 ref 8129 remove cons 8138 ref cons nil cons cons 136 ref subst nil 144 ref 2812 ref 69 ref 8127 ref 2813 ref appTerm 8143 def appTerm 8105 ref appTerm 8144 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 2812 ref nil 99 ref 8144 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8143 ref nil cons 8145 def cons 8138 ref cons nil cons cons 8146 def 86 ref subst 8146 remove 151 ref subst 8143 ref betaConv 8143 remove assume eqMp nil 67 ref 8126 remove nil cons 8147 def cons 8138 remove cons nil cons cons 8148 def 136 ref subst proveHyp 8148 ref 86 ref subst 8148 remove 151 ref subst nil 6959 remove 114 ref 8125 ref nil cons 8149 def cons nil cons cons nil cons cons 8150 def 127 ref subst 8150 remove 347 ref subst 8104 remove 2813 ref appTerm betaConv sym 544 ref 2834 ref 6964 remove appThm 3042 remove appThm 2838 remove trans appThm nil 99 ref 8149 remove cons nil cons nil cons cons 106 ref subst 8125 remove assume eqMp appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 8134 remove 2846 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 8147 remove cons 114 ref 8113 remove cons nil cons 8151 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8145 remove cons 8151 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 8127 remove 45 ref appTerm appTerm 8105 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8128 remove appTerm 8105 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 8130 remove 8151 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 8140 remove cons 8151 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8137 remove cons 8151 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 8106 remove 45 ref appTerm appTerm 8105 remove appTerm absTerm appTerm nil cons cons 8135 remove cons nil cons cons 136 ref subst proveHyp 309 ref 8131 remove 8151 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 65 ref 56 ref 1422 ref 1403 ref 1433 ref 6717 remove appTerm 8103 remove appTerm absTerm appTerm absTerm appTerm thm 3494 remove nil 3495 remove thm 442 ref 56 ref 55 ref 452 ref 292 ref 4 ref 33 ref 55 ref 41 ref 329 ref 4124 remove 1178 ref subst 8152 def appThm 8153 def 451 ref appThm absThm appThm appThm 75 ref 457 ref appTerm 54 ref 41 ref 690 ref 58 ref appTerm 8154 def absTerm 8155 def appTerm 8156 def appTerm 8157 def refl appThm absThm appThm absThm appThm absThm appThm sym nil 140 ref 56 ref 54 ref 452 ref 288 ref 4 ref 23 ref 54 ref 41 ref 69 ref 251 ref 2964 ref appTerm 8158 def 49 ref appTerm 8159 def appTerm 8160 def 58 ref appTerm 8161 def absTerm 8162 def appTerm 8163 def appTerm 8157 ref appTerm 8164 def absTerm 8165 def appTerm 8166 def absTerm 8167 def appTerm 8168 def absTerm nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 8168 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 8167 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 8166 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 8165 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 8164 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8163 ref nil cons 8169 def cons 8170 def 68 ref 8157 ref nil cons 8171 def cons nil cons cons nil cons cons 8172 def 348 ref subst 8172 ref 86 ref subst 8172 remove 151 ref subst 8162 ref 453 ref appTerm 8173 def betaConv nil 8170 ref 68 ref 8173 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 8162 ref nil cons cons 8174 def 868 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 251 ref 933 remove appTerm 1540 ref appTerm 8175 def appTerm 457 ref appTerm nil cons cons 68 ref 457 ref nil cons 8176 def cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 1259 ref 937 ref appThm 5215 remove appThm 7246 ref 1351 ref subst 8177 def trans 8178 def appThm 457 ref refl 8179 def appThm nil 99 ref 8176 ref cons nil cons nil cons cons 8180 def 2033 ref subst trans appThm 8179 remove appThm 8180 ref 409 ref subst trans sym 105 ref eqMp eqMp nil 67 ref 8176 ref cons 8181 def 68 ref 8156 ref nil cons 8182 def cons nil cons cons nil cons cons 151 ref subst proveHyp nil 144 ref 8155 ref nil cons 8183 def cons 8184 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 8154 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 6046 ref cons nil cons 8185 def cons nil cons cons 8186 def 86 ref subst 8186 remove 151 ref subst 8187 def 8162 remove 45 ref appTerm 8188 def betaConv nil 8170 remove 68 ref 8188 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 8174 ref 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8161 remove nil cons 8189 def cons 8185 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 8158 ref refl 8190 def 1741 ref appThm nil 99 ref 4125 ref cons nil cons nil cons cons 1612 ref subst trans 8191 def appThm 451 ref appThm 6786 ref 2033 ref subst trans appThm 451 ref appThm 6786 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp 6049 ref deductAntisym eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 8169 ref cons 114 ref 8171 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 8163 ref appTerm 8157 ref appTerm nil cons cons 68 ref 69 ref 8157 ref appTerm 8163 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 8171 ref cons 68 ref 8169 ref cons nil cons cons nil cons cons 8192 def 86 ref subst 8192 remove 151 ref subst nil 112 ref 8176 ref cons 8193 def 114 ref 8182 ref cons nil cons cons nil cons cons 8194 def 127 ref subst 8194 remove 347 ref subst nil 8174 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 8189 remove cons nil cons nil cons cons 106 ref subst nil 67 ref 8159 ref nil cons 8195 def cons 8196 def 8185 ref cons nil cons cons 8197 def 86 ref subst 8197 remove 151 ref subst 8155 remove 45 ref appTerm 8198 def betaConv 8199 def nil 67 ref 8182 remove cons 68 ref 8198 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 8184 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4125 ref cons 8200 def 8185 ref cons nil cons cons 8201 def 86 ref subst 8201 remove 151 ref subst 7627 remove 2964 ref assume 8202 def appThm 8203 def 8180 remove 106 ref subst 457 ref assume eqMp 8204 def trans 8205 def sym 105 ref eqMp eqMp nil 112 ref 4125 ref cons 8206 def 6047 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 8206 ref 1877 ref 261 ref 6046 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 8195 remove cons 8207 def 6047 ref cons nil cons cons 8208 def 127 ref subst 8209 def deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 8171 remove cons 114 ref 8169 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 65 ref 56 ref 54 ref 452 ref 288 ref 4 ref 23 ref 54 ref 41 ref 69 ref 46 ref 7260 ref appTerm 8210 def appTerm 8211 def 58 ref appTerm absTerm appTerm appTerm 8157 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 442 ref 56 ref 55 ref 452 ref 292 ref 4 ref 33 ref 40 ref 41 ref 544 ref 8152 ref appThm 451 ref appThm 8212 def absThm appThm appThm 251 ref 457 ref appTerm 39 ref 6030 remove appTerm 8213 def appTerm 8214 def refl appThm absThm appThm absThm appThm absThm appThm sym nil 140 ref 56 ref 54 ref 452 ref 288 ref 4 ref 23 ref 39 ref 41 ref 75 ref 8159 ref appTerm 58 ref appTerm 8215 def absTerm 8216 def appTerm 8217 def appTerm 8214 ref appTerm 8218 def absTerm 8219 def appTerm 8220 def absTerm 8221 def appTerm 8222 def absTerm nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 8222 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 8221 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 8220 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 8219 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 8218 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8217 ref nil cons 8223 def cons 68 ref 8214 ref nil cons 8224 def cons nil cons 8225 def cons nil cons cons 348 ref subst nil 144 ref 41 ref 69 ref 8216 ref 45 ref appTerm 8226 def appTerm 8214 ref appTerm 8227 def absTerm 8228 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 8227 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8226 ref nil cons 8229 def cons 8225 ref cons nil cons cons 8230 def 86 ref subst 8230 remove 151 ref subst 8226 ref betaConv 8231 def 8226 remove assume eqMp nil 67 ref 8215 ref nil cons 8232 def cons 8225 ref cons nil cons cons 8233 def 136 ref subst proveHyp 8233 ref 86 ref subst 8233 remove 151 ref subst 8209 remove 8208 remove 347 ref subst nil 1015 ref 8225 ref cons nil cons cons 8234 def 86 ref subst 8234 remove 151 ref subst 6032 ref sym 1923 ref 6788 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 6033 remove cons 8235 def 311 ref cons nil cons cons 594 ref subst proveHyp nil 8193 ref 114 ref 8213 ref nil cons cons 8236 def nil cons cons nil cons cons 8237 def 1816 ref subst proveHyp eqMp nil 1731 ref 114 ref 8224 ref cons nil cons 8238 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 8200 ref 8225 remove cons nil cons cons 8239 def 86 ref subst 8239 remove 151 ref subst 8203 ref 6787 remove eqMp 8237 remove 1821 ref subst proveHyp eqMp nil 8206 ref 8238 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 8206 ref 1877 ref 261 ref 8224 ref cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 8232 remove cons 8238 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8229 remove cons 8238 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 8228 remove appTerm nil cons cons 68 ref 69 ref 8217 ref appTerm 8214 ref appTerm nil cons 8240 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 8216 ref nil cons cons 8241 def 8238 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 8240 remove cons 68 ref 69 ref 8214 ref appTerm 8217 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 8224 ref cons 68 ref 8223 ref cons nil cons 8242 def cons nil cons cons 8243 def 86 ref subst 8243 remove 151 ref subst nil 144 ref 41 ref 69 ref 6031 ref appTerm 8217 ref appTerm 8244 def absTerm 8245 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 8244 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6031 ref nil cons 8246 def cons 8242 ref cons nil cons cons 8247 def 86 ref subst 8247 remove 151 ref subst 6032 ref 6031 remove assume eqMp nil 6044 ref 8242 ref cons nil cons cons 8248 def 136 ref subst proveHyp 8248 ref 86 ref subst 8248 remove 151 ref subst 6049 ref 6048 remove 347 ref subst 8249 def 8231 remove sym 544 ref 8191 remove appThm 6788 remove appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 8241 ref 311 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 6050 ref 114 ref 8223 ref cons nil cons 8250 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8246 remove cons 8250 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 8245 remove appTerm nil cons cons 68 ref 69 ref 8213 ref appTerm 8217 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 8235 remove 8250 ref cons nil cons cons 929 ref subst eqMp nil 8181 ref 8242 remove cons nil cons cons 8251 def 86 ref subst 8251 remove 151 ref subst 8216 remove 453 ref appTerm betaConv sym 544 ref 8178 ref appThm 8204 remove appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 8241 remove 868 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 8193 ref 8250 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 8193 ref 8236 remove 261 ref 8223 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 8224 remove cons 8250 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 65 ref 56 ref 54 ref 452 ref 288 ref 4 ref 23 ref 39 ref 41 ref 75 ref 8210 ref appTerm 8252 def 58 ref appTerm 8253 def absTerm 8254 def appTerm appTerm 8214 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 140 ref 56 ref 506 ref 488 ref 23 ref 54 ref 41 ref 69 ref 2058 ref appTerm 58 ref appTerm absTerm appTerm appTerm 8255 def 288 ref 11 ref 54 ref 41 ref 69 ref 2071 ref appTerm 58 ref appTerm absTerm 8256 def appTerm absTerm appTerm appTerm 8257 def absTerm 8258 def appTerm 8259 def absTerm 8260 def nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 8259 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 8258 remove nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 8257 remove nil cons cons nil cons nil cons cons 106 ref subst 8255 remove refl 33 ref 292 ref 11 ref 55 ref 41 ref 11 ref 8256 ref absTerm 8261 def 30 ref appTerm betaConv 160 ref appThm 8256 remove 45 ref appTerm betaConv trans 8262 def absThm appThm absThm appThm appThm 55 ref 41 ref 292 ref 11 ref 8262 remove absThm appThm absThm appThm appThm nil "p" 18 ref 3 ref 137 ref cons opType var 8263 def 8261 remove nil cons cons nil cons nil cons cons 1399 remove 324 ref cons 218 ref cons 8264 def 3887 ref subst subst eqMp appThm sym 55 ref 41 ref 7757 remove 451 ref appThm 33 ref 329 ref 3901 ref appThm 451 ref appThm appThm 292 ref 11 ref 329 ref 2087 ref appThm 451 ref appThm absThm appThm appThm nil 3902 remove 8185 ref cons nil cons cons 8265 def 4872 ref subst eqMp trans absThm appThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 65 ref 8260 remove appTerm thm 442 ref 56 ref 1663 ref 488 ref 23 ref 39 ref 41 ref 75 ref 2058 remove appTerm 8266 def 58 ref appTerm absTerm appTerm appTerm 8267 def refl 33 ref 543 ref 11 ref 40 ref 41 ref 11 ref 41 ref 2063 ref 653 ref 58 ref appTerm 8268 def appTerm absTerm 8269 def absTerm 8270 def 30 ref appTerm betaConv 160 remove appThm 8269 ref 45 ref appTerm betaConv trans 8271 def absThm appThm absThm appThm appThm 40 ref 41 ref 543 ref 11 ref 8271 remove absThm appThm absThm appThm appThm nil 8263 remove 8270 remove nil cons cons nil cons nil cons cons 8264 remove 2959 ref subst subst eqMp appThm absThm appThm absThm appThm sym 442 ref 56 ref 1663 remove 488 ref 33 ref 40 ref 41 ref 7021 ref 451 ref appThm 33 ref 544 ref 3901 remove appThm 451 ref appThm appThm 543 ref 11 ref 544 ref 2087 remove appThm 451 ref appThm absThm appThm appThm 8265 remove 2940 remove subst eqMp trans absThm appThm appThm 40 ref 41 ref 543 ref 11 ref nil 1272 ref 6046 ref cons 3906 remove cons nil cons cons 4035 ref subst absThm appThm absThm appThm appThm nil 166 ref 39 ref 41 ref 534 ref 11 ref 75 ref 2071 remove appTerm 58 ref appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 3896 remove trans absThm appThm 371 ref 6041 ref 376 ref subst subst 8272 def trans sym 105 ref eqMp eqMp nil 65 ref 56 ref 506 ref 488 ref 8267 remove 534 ref 11 ref 39 ref 8269 remove appTerm absTerm appTerm appTerm absTerm appTerm absTerm appTerm thm nil 317 ref 4 ref 506 ref 2602 ref 27 ref 609 ref 485 ref 2606 ref appTerm 8273 def appTerm 8274 def appTerm 8275 def 3546 ref 3516 ref 2606 remove appTerm 486 ref appTerm 8276 def appTerm 28 ref appTerm 8277 def 485 ref 3501 ref 3502 ref 534 ref 11 ref 75 ref 3504 ref 610 ref appTerm appTerm 2621 ref appTerm absTerm appTerm absTerm appTerm appTerm 8278 def appTerm 8279 def appTerm 8280 def absTerm 8281 def appTerm 8282 def absTerm 8283 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 8282 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 8281 remove nil cons cons nil cons nil cons cons 1695 ref subst 2602 ref nil 99 ref 8280 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_10740" 3 ref var 8284 def 8275 ref 8284 remove varTerm appTerm absTerm 8285 def 8279 remove appTerm betaConv appThm 544 ref 69 ref 8276 ref appTerm 8286 def refl 8287 def 8285 ref 28 ref appTerm betaConv appThm appThm 69 ref 34 ref 8276 ref appTerm 8288 def appTerm 8289 def refl 8290 def 8285 ref 8278 ref appTerm betaConv appThm appThm appThm nil 3553 ref 8278 ref nil cons cons 3555 ref 357 remove cons 3557 ref 8276 ref nil cons 8291 def cons nil cons 8292 def cons cons nil cons cons nil 3558 ref 8285 remove nil cons cons nil cons nil cons cons 3575 ref subst subst eqMp sym nil 67 ref 8291 ref cons 8293 def 68 ref 8275 ref 28 ref appTerm 8294 def nil cons 8295 def cons nil cons cons nil cons cons 8296 def 86 ref subst 8296 remove 151 ref subst 1751 remove 6334 ref 8276 ref assume appThm 528 ref trans 8297 def appThm 1753 remove trans eqMp nil 112 ref 8291 remove cons 8298 def 114 ref 8295 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 8286 ref 8294 remove appTerm nil cons cons 68 ref 8289 ref 8275 ref 8278 remove appTerm 8299 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 8288 remove nil cons 8300 def cons 8301 def 68 ref 8299 remove nil cons 8302 def cons nil cons cons nil cons cons 8303 def 86 ref subst 8303 remove 151 ref subst 8275 remove refl 640 ref 6334 ref 3509 ref 3502 ref 543 ref 11 ref 544 ref 4743 ref 11 ref 610 ref absTerm 8304 def 30 ref appTerm betaConv 8305 def appThm appThm 11 ref 2621 ref absTerm 8306 def 30 ref appTerm betaConv 8307 def appThm absThm appThm absThm appThm appThm appThm 429 ref 426 ref 40 ref 452 ref 4747 ref 292 ref 11 ref 329 ref 8307 ref appThm 8308 def 4749 remove 8305 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil 6260 ref 8304 remove nil cons cons 2930 ref 8306 remove nil cons cons nil cons 8309 def cons nil cons cons 6378 remove subst eqMp appThm sym nil 11 ref 425 ref 426 ref 39 ref 452 ref 4746 remove 288 ref 11 ref 69 ref 2621 ref appTerm 8310 def 834 remove 610 ref appTerm appTerm absTerm appTerm 8311 def appTerm absTerm appTerm absTerm appTerm nil cons cons 4 ref 8274 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref nil 11 ref 8273 ref nil cons 8312 def cons nil cons nil cons cons 632 ref subst 1357 ref 2613 ref 516 ref subst 8313 def appThm trans appThm 33 ref 366 ref 429 ref 426 ref 40 ref 452 ref 4747 remove 452 ref 8311 remove absTerm 8314 def 453 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 8314 ref 45 ref appTerm betaConv appThm nil 56 ref 8314 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 292 ref 11 ref 8310 ref refl 8315 def 632 ref appThm absThm appThm trans appThm absThm appThm trans sym nil 144 ref 41 ref 23 ref 621 ref 288 ref 11 ref 8310 ref 47 ref appTerm absTerm 8316 def appTerm 8317 def appTerm appTerm 288 ref 11 ref 8310 ref 622 ref appTerm absTerm appTerm appTerm 8318 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 8318 remove nil cons 8319 def cons nil cons nil cons cons 106 ref subst nil 2332 ref 68 ref 8319 ref cons nil cons 8320 def cons nil cons cons 8321 def 86 ref subst 8321 remove 151 ref subst 23 ref "_10748" 19 ref var 8322 def 23 ref 75 ref 8322 remove varTerm appTerm 8323 def 8317 ref appTerm appTerm 288 ref 11 ref 8310 ref 8323 remove 47 ref appTerm appTerm absTerm appTerm appTerm absTerm 8324 def 49 ref appTerm 8325 def appTerm refl 8326 def 8324 ref 171 ref appTerm betaConv appThm 33 ref 8325 remove betaConv appThm 8327 def 23 ref 545 ref 8317 ref appTerm appTerm 288 ref 11 ref 8310 ref 545 ref 47 ref appTerm appTerm absTerm appTerm appTerm refl appThm trans 8324 remove refl 8328 def 2345 ref appThm eqMp sym 33 ref nil 99 ref 8317 ref nil cons 8329 def cons nil cons nil cons cons 8330 def 549 ref subst appThm 292 ref 11 ref 8315 ref 550 remove appThm nil 99 ref 2649 remove cons nil cons nil cons cons 8331 def 1077 ref subst 8332 def trans absThm appThm appThm nil 99 ref 288 ref 11 ref 34 ref 2621 ref appTerm absTerm 8333 def appTerm nil cons cons nil cons nil cons cons 204 ref subst 33 ref 35 ref 292 ref 11 ref 8333 ref 30 ref appTerm betaConv 8334 def absThm appThm appThm appThm 543 ref 11 ref 35 ref 8334 remove appThm absThm appThm appThm nil 2930 ref 8333 remove nil cons cons nil cons nil cons cons 6271 ref subst eqMp 543 ref 11 ref 8331 remove 210 ref subst absThm appThm 2613 ref 488 ref 23 ref 534 ref 6255 remove appTerm 8335 def appTerm 8336 def 34 ref 3516 ref 491 ref appTerm 486 ref appTerm 8337 def appTerm 8338 def appTerm 8339 def absTerm 8340 def 491 ref appTerm 8341 def betaConv 325 ref 2197 remove subst nil 67 ref 506 ref 8340 ref appTerm nil cons cons 68 ref 8341 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 510 ref 8340 remove nil cons cons 513 remove cons nil cons cons 161 ref subst eqMp eqMp 8342 def subst 35 ref nil 8301 ref 68 ref 23 ref 8276 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 8298 ref nil cons nil cons cons 1095 ref subst eqMp appThm 400 ref trans trans trans trans trans 8343 def trans sym 105 ref eqMp eqMp eqMp nil 2346 ref 114 ref 8319 ref cons nil cons 8344 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2350 ref 8320 remove cons nil cons cons 8345 def 86 ref subst 8345 remove 151 ref subst 8326 remove "_10746" 19 ref var 8346 def 23 ref 75 ref 8346 remove varTerm appTerm 8347 def 8317 ref appTerm appTerm 288 ref 11 ref 8310 ref 8347 remove 47 ref appTerm appTerm absTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 8327 remove 23 ref 558 ref 8317 ref appTerm appTerm 288 ref 11 ref 8310 ref 558 ref 47 ref appTerm appTerm absTerm appTerm appTerm refl appThm trans 8328 remove 2356 ref appThm eqMp sym 33 ref 8330 ref 562 ref subst appThm 292 ref 11 ref 8315 ref 563 ref appThm absThm appThm appThm nil 166 ref 8329 ref cons nil cons nil cons cons 225 ref subst 8348 def trans sym 105 ref eqMp eqMp eqMp nil 2360 ref 8344 remove cons nil cons cons 127 ref subst deductAntisym eqMp 2362 ref nil 2360 ref 2363 ref 261 ref 8319 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp eqMp eqMp nil 112 ref 8300 remove cons 8349 def 114 ref 8302 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp 8350 def eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 8283 remove appTerm thm nil 510 ref 2602 ref 288 ref 4 ref 27 ref 608 ref 8273 ref appTerm 28 ref appTerm appTerm 8277 ref 485 ref 3501 ref 3502 ref 534 ref 11 ref 75 ref 3504 ref 642 remove appTerm appTerm 2621 ref appTerm absTerm appTerm absTerm appTerm appTerm appTerm appTerm 8351 def absTerm 8352 def appTerm 8353 def absTerm 8354 def nil cons cons nil cons nil cons cons 1695 ref subst 2602 ref nil 99 ref 8353 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 8352 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 8351 remove nil cons cons nil cons nil cons cons 106 ref subst 640 ref nil 596 ref 4 ref 8312 remove cons 8355 def nil cons cons nil cons cons 681 remove subst appThm 8277 remove refl 6334 remove 3509 ref 3502 ref 543 ref 11 ref 544 ref 4743 ref 682 remove appThm appThm 2621 ref refl appThm absThm appThm absThm appThm appThm appThm appThm sym 8350 remove eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 8354 remove appTerm thm nil 2956 ref 837 ref 54 ref 452 ref 757 ref 759 ref 23 ref 781 ref 792 ref 841 remove appTerm appTerm appTerm 879 remove appTerm 8356 def absTerm 8357 def appTerm 8358 def absTerm 8359 def appTerm 8360 def absTerm 8361 def nil cons cons nil cons nil cons cons 2955 ref 218 ref cons 326 ref subst 8362 def subst 837 ref nil 99 ref 8360 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 8359 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 8358 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 8357 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 8356 remove nil cons cons nil cons nil cons cons 106 ref subst 942 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 2953 ref 8361 remove appTerm thm 774 ref refl 8363 def 766 ref nil 727 ref 792 ref 793 ref 39 ref 452 ref 794 ref 759 ref 75 ref 797 ref 765 ref appTerm appTerm 770 ref appTerm absTerm appTerm absTerm appTerm absTerm 8364 def appTerm 8365 def nil cons cons 729 ref 792 ref 793 ref 3722 ref 748 ref 75 ref 797 ref 752 ref appTerm appTerm 768 ref appTerm absTerm appTerm absTerm 8366 def appTerm 8367 def nil cons cons nil cons cons nil cons cons 743 ref subst absThm appThm sym 8363 ref 766 ref 747 ref 748 ref 33 ref nil 766 ref 8366 ref nil cons cons nil cons nil cons cons 843 ref subst 8366 remove 752 ref appTerm betaConv trans appThm nil 766 ref 8364 ref nil cons cons nil cons nil cons cons 843 ref subst 8364 remove 752 ref appTerm betaConv trans appThm absThm appThm absThm appThm sym nil 778 remove 766 ref 746 ref 748 ref 23 ref 3722 ref "x'" 724 ref var 8368 def 75 ref 796 ref 752 ref appTerm 8369 def 8368 ref varTerm 8370 def appTerm 8371 def appTerm 767 ref 8370 ref appTerm 8372 def appTerm 8373 def absTerm 8374 def appTerm 8375 def appTerm 39 ref 452 ref 794 ref 759 ref 75 ref 8369 remove 765 ref appTerm 8376 def appTerm 770 ref appTerm 8377 def absTerm 8378 def appTerm 8379 def absTerm 8380 def appTerm 8381 def appTerm 8382 def absTerm 8383 def appTerm 8384 def absTerm nil cons cons nil cons nil cons cons 777 remove 218 ref cons 8385 def 326 ref subst subst 766 ref nil 99 ref 8384 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 744 remove var 8386 def 8383 remove nil cons cons nil cons nil cons cons 742 ref 326 ref subst 8387 def subst 748 ref nil 99 ref 8382 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8375 ref nil cons 8388 def cons 68 ref 8381 ref nil cons 8389 def cons nil cons 8390 def cons nil cons cons 348 ref subst nil 8386 ref 8368 ref 69 ref 8374 ref 8370 ref appTerm 8391 def appTerm 8381 ref appTerm 8392 def absTerm 8393 def nil cons cons nil cons nil cons cons 8387 ref subst 8368 remove nil 99 ref 8392 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8391 ref nil cons 8394 def cons 8390 ref cons nil cons cons 8395 def 86 ref subst 8395 remove 151 ref subst 8391 ref betaConv 8391 remove assume eqMp nil 67 ref 8373 remove nil cons 8396 def cons 8390 ref cons nil cons cons 8397 def 136 ref subst proveHyp 8397 ref 86 ref subst 8397 remove 151 ref subst nil 112 ref 8371 ref nil cons cons 114 ref 8372 ref nil cons cons nil cons cons nil cons cons 8398 def 127 ref subst 8398 remove 347 ref subst 23 ref "_10677" 724 ref var 8399 def 767 ref 8399 remove varTerm appTerm absTerm 8400 def 8370 remove appTerm 8401 def appTerm refl 8400 ref 752 ref appTerm betaConv appThm 33 ref 8401 remove betaConv appThm 768 ref refl appThm trans 8400 remove refl 8371 remove assume sym appThm eqMp 8372 remove assume eqMp nil 67 ref 768 ref nil cons cons 8390 remove cons nil cons cons 136 ref subst proveHyp 748 ref 39 ref 452 ref 794 ref 759 ref 8376 ref absTerm 8402 def appTerm 8403 def absTerm 8404 def appTerm 8405 def absTerm 8406 def 752 ref appTerm 8407 def betaConv nil 746 ref 8406 ref appTerm 8408 def axiom 8409 def nil 67 ref 8408 remove nil cons cons 8410 def 68 ref 8407 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 741 ref 8386 ref 8406 ref nil cons cons 8411 def 748 ref 752 ref nil cons cons nil cons 8412 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8405 ref nil cons cons 68 ref 69 ref 768 remove appTerm 8381 ref appTerm 8413 def nil cons 8414 def cons nil cons 8415 def cons nil cons cons 136 ref subst proveHyp nil 144 ref 452 ref 69 ref 8404 ref 453 ref appTerm 8416 def appTerm 8413 ref appTerm 8417 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 8417 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8416 ref nil cons 8418 def cons 8415 ref cons nil cons cons 8419 def 86 ref subst 8419 remove 151 ref subst 8416 ref betaConv 8416 remove assume eqMp nil 67 ref 8403 ref nil cons cons 8415 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 759 ref 69 ref 8402 ref 764 ref appTerm 8420 def appTerm 8413 ref appTerm 8421 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 8421 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8420 ref nil cons 8422 def cons 8415 ref cons nil cons cons 8423 def 86 ref subst 8423 remove 151 ref subst 8420 ref betaConv 8420 remove assume eqMp nil 67 ref 8376 ref nil cons 8424 def cons 8415 remove cons nil cons cons 8425 def 136 ref subst proveHyp 8425 ref 86 ref subst 8425 remove 151 ref subst 23 ref "_10679" 724 ref var 8426 def 69 ref 767 ref 8426 remove varTerm 8427 def appTerm appTerm 39 ref 452 ref 794 ref 759 ref 75 ref 796 ref 8427 remove appTerm 765 ref appTerm appTerm 770 ref appTerm absTerm appTerm absTerm appTerm appTerm absTerm 8428 def 752 ref appTerm 8429 def appTerm refl 8428 ref 765 ref appTerm betaConv appThm 33 ref 8429 remove betaConv appThm 69 ref 770 ref appTerm 39 ref 846 ref 794 ref 844 ref 75 ref 851 remove appTerm 767 ref 850 remove appTerm appTerm absTerm appTerm absTerm 8430 def appTerm 8431 def appTerm refl appThm trans 8428 remove refl 8376 remove assume 8432 def appThm eqMp sym nil 67 ref 3742 ref cons 68 ref 8431 remove nil cons 8433 def cons nil cons cons nil cons cons 8434 def 86 ref subst 8434 remove 151 ref subst 8430 ref 453 ref appTerm betaConv sym 844 ref 75 ref 847 remove 763 ref 849 remove appTerm 8435 def appTerm appTerm 767 ref 8435 remove appTerm appTerm absTerm 8436 def 764 ref appTerm betaConv sym 544 ref 946 remove 742 ref 224 ref subst 8437 def subst appThm nil 99 ref 3742 ref cons nil cons nil cons cons 106 ref subst 770 ref assume eqMp 8438 def appThm 941 ref trans sym 105 ref eqMp eqMp 870 ref 871 ref 8436 remove nil cons cons 874 ref cons nil cons cons 594 ref subst proveHyp eqMp 309 ref 144 ref 8430 remove nil cons cons 868 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 3742 ref cons 114 ref 8433 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8424 remove cons 8439 def 114 ref 8414 remove cons nil cons 8440 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8422 remove cons 8440 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 8402 ref 910 ref appTerm appTerm 8413 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8403 remove appTerm 8413 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 8402 remove nil cons cons 8440 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 8418 remove cons 8440 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 8404 ref 45 ref appTerm appTerm 8413 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8405 remove appTerm 8413 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 8404 remove nil cons cons 8440 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 8396 remove cons 114 ref 8389 remove cons nil cons 8441 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8394 remove cons 8441 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 746 ref 8393 remove appTerm nil cons cons 68 ref 69 ref 8375 ref appTerm 8381 ref appTerm nil cons 8442 def cons nil cons cons nil cons cons 136 ref subst proveHyp 741 ref 8386 ref 8374 ref nil cons cons 8443 def 8441 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 8442 remove cons 68 ref 69 ref 8381 remove appTerm 8375 ref appTerm nil cons cons nil cons 8444 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 452 ref 69 ref 8380 ref 453 ref appTerm 8445 def appTerm 8375 ref appTerm 8446 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 8446 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8445 ref nil cons 8447 def cons 68 ref 8388 ref cons nil cons 8448 def cons nil cons cons 8449 def 86 ref subst 8449 remove 151 ref subst 8445 ref betaConv 8445 remove assume eqMp nil 67 ref 8379 ref nil cons cons 8448 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 759 ref 69 ref 8378 ref 764 ref appTerm 8450 def appTerm 8375 ref appTerm 8451 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 8451 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8450 ref nil cons 8452 def cons 8448 ref cons nil cons cons 8453 def 86 ref subst 8453 remove 151 ref subst 8450 ref betaConv 8450 remove assume eqMp nil 67 ref 8377 remove nil cons 8454 def cons 8448 remove cons nil cons cons 8455 def 136 ref subst proveHyp 8455 ref 86 ref subst 8455 remove 151 ref subst nil 8439 remove 114 ref 3742 remove cons nil cons cons nil cons cons 8456 def 127 ref subst 8456 remove 347 ref subst 8374 remove 752 ref appTerm betaConv sym 544 ref 8437 remove appThm 767 ref refl 8432 remove appThm 8438 remove trans appThm 941 ref trans sym 105 ref eqMp eqMp 741 ref 8443 remove 8412 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 8454 remove cons 114 ref 8388 remove cons nil cons 8457 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8452 remove cons 8457 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 8378 ref 910 ref appTerm appTerm 8375 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8379 remove appTerm 8375 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 8378 remove nil cons cons 8457 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 8447 remove cons 8457 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 8380 ref 45 ref appTerm appTerm 8375 remove appTerm absTerm appTerm nil cons cons 8444 remove cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 8380 remove nil cons cons 8457 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp nil 774 ref 766 ref 787 ref 8367 remove appTerm 8365 remove appTerm absTerm appTerm thm nil 2700 ref 3451 ref 3473 remove 3498 ref 2665 ref 2666 ref 2668 ref 2669 ref 75 ref 2672 remove 3456 ref 2673 ref appTerm 8458 def appTerm appTerm 8459 def 3475 ref appTerm absTerm appTerm absTerm 8460 def appTerm 8461 def appTerm 8462 def appTerm 8463 def absTerm 8464 def nil cons cons nil cons nil cons cons 2681 ref 326 ref subst 8465 def subst 3451 ref nil 99 ref 8463 remove nil cons cons nil cons nil cons cons 106 ref subst nil 2660 remove 8462 remove nil cons cons 3480 remove cons nil cons cons 2682 remove subst 2684 ref 2685 ref 33 ref nil 2693 ref 3471 ref nil cons cons nil cons nil cons cons 2681 ref 449 ref subst 8466 def subst 3471 remove 2687 ref appTerm betaConv trans appThm nil 2662 remove 8461 remove nil cons cons 3489 remove 3452 ref cons nil cons cons nil cons cons 3490 remove subst 251 ref 3491 ref 2677 ref appTerm 8467 def appTerm 8468 def refl nil 2693 remove 8460 ref nil cons cons nil cons nil cons cons 8466 remove subst 8460 remove 2687 ref appTerm betaConv trans appThm trans appThm absThm appThm trans sym nil 2700 ref 2685 ref 23 ref 2668 ref 2669 ref 75 ref 3491 ref 2673 ref appTerm 8469 def appTerm 3458 ref appTerm 8470 def absTerm 8471 def appTerm 8472 def appTerm 8468 remove 2668 ref 2669 ref 75 ref 3491 remove 8458 ref appTerm 8473 def appTerm 3475 ref appTerm 8474 def absTerm 8475 def appTerm 8476 def appTerm 8477 def appTerm 8478 def absTerm nil cons cons nil cons nil cons cons 8465 ref subst 2685 ref nil 99 ref 8478 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8472 ref nil cons 8479 def cons 68 ref 8477 ref nil cons 8480 def cons nil cons 8481 def cons nil cons cons 348 ref subst nil 2700 ref 2669 ref 69 ref 8471 ref 2673 ref appTerm 8482 def appTerm 8477 ref appTerm 8483 def absTerm nil cons cons nil cons nil cons cons 8465 ref subst 2669 ref nil 99 ref 8483 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8482 ref nil cons 8484 def cons 8481 ref cons nil cons cons 8485 def 86 ref subst 8485 remove 151 ref subst 8482 ref betaConv 8482 remove assume eqMp nil 67 ref 8470 remove nil cons 8486 def cons 8481 remove cons nil cons cons 8487 def 136 ref subst proveHyp 8487 ref 86 ref subst 8487 remove 151 ref subst nil 112 ref 8469 ref nil cons cons 114 ref 3458 ref nil cons 8488 def cons nil cons cons nil cons cons 8489 def 127 ref subst 8489 remove 347 ref subst 23 ref "_12142" 2657 ref var 8490 def 251 ref 2671 ref 8490 remove varTerm appTerm 8491 def 2677 ref appTerm appTerm 2668 ref 2669 ref 75 ref 8491 remove 8458 ref appTerm appTerm 3475 ref appTerm absTerm appTerm appTerm absTerm 8492 def 2687 ref appTerm 8493 def appTerm refl 8492 ref 2673 ref appTerm betaConv appThm 33 ref 8493 remove betaConv appThm 251 ref 3482 ref 2677 ref appTerm 8494 def appTerm 8495 def 2668 ref "m'" 2657 ref var 8496 def 75 ref 3482 ref 3456 ref 8496 ref varTerm 8497 def appTerm 8498 def appTerm appTerm 2675 ref 8497 remove appTerm 3454 ref appTerm 8499 def appTerm absTerm appTerm appTerm 8500 def refl appThm trans 8492 remove refl 8469 remove assume appThm eqMp sym nil 67 ref 8488 remove cons 68 ref 8500 ref nil cons cons nil cons cons nil cons cons 136 ref subst 2669 ref 8495 remove 2668 ref 3451 ref 3482 ref 3457 ref appTerm absTerm 8501 def appTerm 8502 def appTerm 8503 def absTerm 8504 def 2673 ref appTerm 8505 def betaConv nil 2683 ref 8504 ref appTerm 8506 def axiom nil 67 ref 8506 remove nil cons cons 68 ref 8505 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 8504 remove nil cons cons 2701 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8503 remove nil cons 8507 def cons 68 ref 69 ref 3458 ref appTerm 8500 remove appTerm 8508 def nil cons 8509 def cons nil cons 8510 def cons nil cons cons 8511 def 136 ref subst proveHyp 8511 ref 86 ref subst 8511 remove 151 ref subst nil 2700 ref "n'" 2657 ref var 8512 def 69 ref 8501 ref 8512 ref varTerm 8513 def appTerm 8514 def appTerm 8508 ref appTerm 8515 def absTerm nil cons cons nil cons nil cons cons 8465 ref subst 8512 remove nil 99 ref 8515 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8514 ref nil cons 8516 def cons 8510 ref cons nil cons cons 8517 def 86 ref subst 8517 remove 151 ref subst 8514 ref betaConv 8514 remove assume eqMp nil 67 ref 3482 remove 3456 remove 8513 ref appTerm 8518 def appTerm 8519 def nil cons 8520 def cons 8510 ref cons nil cons cons 8521 def 136 ref subst proveHyp 8521 ref 86 ref subst 8521 remove 151 ref subst 329 ref 2675 ref refl 8522 def 8519 remove assume 8523 def appThm 3457 ref refl 8524 def appThm nil 2669 ref 8513 ref nil cons 8525 def cons nil cons nil cons cons 3451 ref 23 ref 2675 ref 8458 ref appTerm 3457 ref appTerm appTerm 3475 ref appTerm absTerm 8526 def 3454 ref appTerm 8527 def betaConv 2669 ref 2683 ref 8526 ref appTerm 8528 def absTerm 8529 def 2673 ref appTerm 8530 def betaConv nil 2683 ref 8529 ref appTerm 8531 def axiom nil 67 ref 8531 remove nil cons cons 68 ref 8530 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 8529 remove nil cons cons 2701 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8528 remove nil cons cons 68 ref 8527 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 8526 remove nil cons cons 3468 ref cons nil cons cons 161 ref subst eqMp eqMp 8532 def subst trans appThm 1259 ref 2671 ref refl 8533 def 8523 remove appThm 8534 def 2677 ref refl 8535 def appThm nil 3451 ref 8525 ref cons nil cons nil cons cons 3451 ref 34 ref 2671 ref 3457 ref appTerm 2677 ref appTerm 8536 def appTerm 8537 def absTerm 8538 def 3454 ref appTerm 8539 def betaConv nil 2683 ref 8538 ref appTerm 8540 def axiom nil 67 ref 8540 remove nil cons cons 68 ref 8539 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 8538 remove nil cons cons 3468 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8537 remove nil cons cons 68 ref 23 ref 8536 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 112 ref 8536 remove nil cons cons nil cons nil cons cons 1095 ref subst eqMp subst trans appThm 2690 ref 8496 ref 544 ref 8534 remove 8498 ref refl 8541 def appThm appThm 8499 ref refl 8542 def appThm absThm appThm appThm nil 99 ref 2668 ref 8496 ref 75 ref 2671 ref 8518 ref appTerm 8498 ref appTerm appTerm 8499 ref appTerm absTerm 8543 def appTerm nil cons 8544 def cons nil cons nil cons cons 1308 ref subst trans appThm sym nil 67 ref 2675 ref 8513 ref appTerm 3454 ref appTerm 8545 def nil cons 8546 def cons 68 ref 8544 ref cons nil cons cons nil cons cons 8547 def 86 ref subst 8547 remove 151 ref subst 8543 ref 8513 remove appTerm betaConv sym 544 ref nil 2685 ref 8518 remove nil cons cons nil cons nil cons cons 2681 remove 224 ref subst 8548 def subst appThm nil 99 ref 8546 ref cons nil cons nil cons cons 106 ref subst 8545 remove assume eqMp appThm 941 ref trans sym 105 ref eqMp eqMp 2680 ref 2700 ref 8543 remove nil cons cons 2685 ref 8525 remove cons nil cons cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 8546 remove cons 114 ref 8544 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8520 remove cons 114 ref 8509 ref cons nil cons 8549 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8516 remove cons 8549 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 2683 ref 2685 ref 69 ref 8501 ref 2687 remove appTerm appTerm 8508 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8502 ref appTerm 8508 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 8501 remove nil cons cons 8549 ref cons nil cons cons 929 ref subst eqMp nil 67 ref 8494 ref nil cons 8550 def cons 8510 remove cons nil cons cons 8551 def 86 ref subst 8551 remove 151 ref subst 329 ref 8522 remove 8494 remove assume 8552 def appThm 8524 remove appThm appThm 1259 ref 8533 ref 8552 remove appThm 8553 def 8535 ref appThm nil 2685 ref 3452 remove cons nil cons 8554 def nil cons cons 8548 ref subst 8555 def trans appThm 2690 ref 8496 ref 544 ref 8553 remove 8541 remove appThm appThm 8542 remove appThm absThm appThm appThm nil 99 ref 2668 ref 8496 remove 75 ref 2671 remove 2677 ref appTerm 8498 remove appTerm appTerm 8499 remove appTerm absTerm appTerm nil cons cons nil cons nil cons cons 1351 ref subst trans appThm nil 99 ref 2675 remove 2677 ref appTerm 3457 ref appTerm 8556 def nil cons cons nil cons nil cons cons 8557 def 709 ref subst trans sym 105 ref eqMp eqMp nil 112 ref 8550 remove cons 8558 def 8549 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 8558 remove 114 ref 8502 remove nil cons cons 261 ref 8509 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 8507 remove cons 8549 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 8486 remove cons 114 ref 8480 ref cons nil cons 8559 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8484 remove cons 8559 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 2683 ref "x'" 2657 remove var 8560 def 69 ref 8471 ref 8560 ref varTerm 8561 def appTerm appTerm 8477 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8472 ref appTerm 8477 ref appTerm nil cons 8562 def cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 8471 ref nil cons cons 8563 def 8559 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 8562 remove cons 68 ref 69 ref 8477 remove appTerm 8472 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 8480 ref cons 68 ref 8479 ref cons nil cons 8564 def cons nil cons cons 8565 def 86 ref subst 8565 remove 151 ref subst nil 2700 ref 2669 ref 69 ref 8475 ref 2673 remove appTerm 8566 def appTerm 8472 ref appTerm 8567 def absTerm nil cons cons nil cons nil cons cons 8465 remove subst 2669 ref nil 99 ref 8567 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8566 ref nil cons 8568 def cons 8564 ref cons nil cons cons 8569 def 86 ref subst 8569 remove 151 ref subst 8566 ref betaConv 8566 remove assume eqMp nil 67 ref 8474 remove nil cons 8570 def cons 8564 ref cons nil cons cons 8571 def 136 ref subst proveHyp 8571 ref 86 ref subst 8571 remove 151 ref subst nil 112 ref 8473 ref nil cons cons 114 ref 3475 ref nil cons 8572 def cons nil cons cons nil cons cons 8573 def 127 ref subst 8573 remove 347 ref subst 8471 ref 8458 ref appTerm betaConv sym 544 ref 8533 ref 8473 remove assume appThm 8458 ref refl appThm nil 2685 remove 8458 remove nil cons cons nil cons 8574 def nil cons cons 8548 remove subst trans appThm 8532 remove nil 99 ref 8572 remove cons nil cons nil cons cons 106 ref subst 3475 remove assume eqMp trans appThm 941 ref trans sym 105 ref eqMp eqMp 2680 ref 8563 ref 8574 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 8570 remove cons 114 ref 8479 ref cons nil cons 8575 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8568 remove cons 8575 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 2683 ref 8560 remove 69 ref 8475 ref 8561 remove appTerm appTerm 8472 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8476 ref appTerm 8472 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 ref 8475 remove nil cons cons 8575 ref cons nil cons cons 929 ref subst eqMp nil 67 ref 8467 ref nil cons 8576 def cons 8564 remove cons nil cons cons 8577 def 86 ref subst 8577 remove 151 ref subst 8471 remove 2677 remove appTerm betaConv sym 544 ref 8533 remove 8467 remove assume appThm 8535 remove appThm 8555 remove trans appThm 8557 remove 106 ref subst 3451 ref 8556 remove absTerm 8578 def 3454 remove appTerm 8579 def betaConv nil 2683 ref 8578 ref appTerm 8580 def axiom nil 67 ref 8580 remove nil cons cons 68 ref 8579 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2680 ref 2700 remove 8578 remove nil cons cons 3468 remove cons nil cons cons 161 ref subst eqMp eqMp eqMp appThm 941 ref trans sym 105 ref eqMp eqMp 2680 remove 8563 remove 8554 remove cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 8576 remove cons 8581 def 8575 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 8581 remove 114 ref 8476 remove nil cons cons 261 ref 8479 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 8480 remove cons 8575 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp 8582 def eqMp absThm eqMp nil 2683 ref 8464 remove appTerm thm 2684 ref 3451 ref 2704 ref refl 8583 def 2689 ref 2666 ref 2690 ref 2669 ref 2691 ref nil 3451 ref 3457 ref nil cons 8584 def cons nil cons nil cons cons 8585 def 3469 ref subst appThm absThm appThm absThm appThm 8586 def 8585 remove 8582 remove subst trans appThm 3499 remove 2689 ref 2666 ref 2690 ref 2669 ref 8459 ref refl 3469 ref appThm absThm appThm absThm appThm appThm appThm nil "x" 2659 remove var 8587 def 3498 ref 2665 ref 2666 ref 2668 ref 2669 ref 8459 ref 3458 remove appTerm absTerm appTerm absTerm appTerm appTerm nil cons cons nil cons nil cons cons "A" 2664 remove cons nil cons 218 ref cons 224 ref subst 8588 def subst trans absThm appThm 2702 ref trans sym 105 ref eqMp nil 2683 ref 3451 ref 2704 remove 2665 ref 2666 ref 2668 ref 2669 ref 2674 ref 3453 remove 3457 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm 8589 def 3498 remove 2665 ref 2666 ref 2668 ref 2669 ref 8459 remove 3455 ref appTerm absTerm appTerm absTerm appTerm appTerm appTerm absTerm appTerm thm 2684 remove 3451 ref 8583 remove 8586 remove nil 3470 remove 8584 remove cons nil cons nil cons cons 3497 remove subst 3474 remove 3457 remove appTerm 8590 def refl 8591 def 3496 ref appThm trans trans appThm 8591 remove 2689 remove 2666 ref 2690 remove 2669 ref 2691 remove 3469 remove appThm absThm appThm absThm appThm 3496 remove trans appThm appThm nil 8587 remove 8590 ref 3477 remove appTerm nil cons cons nil cons nil cons cons 8588 remove subst trans absThm appThm 2702 remove trans sym 105 ref eqMp nil 2683 remove 3451 remove 8589 remove 8590 remove 2665 remove 2666 remove 2668 remove 2669 remove 2674 remove 3455 remove appTerm absTerm appTerm absTerm appTerm appTerm appTerm absTerm appTerm thm nil 510 ref 2602 ref 6669 ref "g" 2897 ref var 8592 def 787 ref 7204 remove 2899 ref 8592 ref varTerm 8593 def appTerm 8594 def appTerm 8595 def appTerm 6676 remove 6677 ref 6678 ref 534 ref 4 ref 2909 ref 783 ref 6680 ref 7223 ref 6683 ref 8593 ref appTerm 8596 def appTerm 8597 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 8598 def appTerm 8599 def appTerm 8600 def absTerm 8601 def appTerm 8602 def absTerm 8603 def nil cons cons nil cons nil cons cons 1695 ref subst 2602 ref nil 99 ref 8602 remove nil cons cons nil cons nil cons cons 106 ref subst nil 6691 ref 8601 remove nil cons cons nil cons nil cons cons 6692 ref subst 8592 ref nil 99 ref 8600 remove nil cons cons nil cons nil cons cons 106 ref subst nil 727 ref 8599 ref nil cons cons 729 ref 8595 ref nil cons cons nil cons cons nil cons cons 743 ref subst sym 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 8595 remove appTerm appTerm 753 ref 8599 remove appTerm appTerm absTerm 8604 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 8604 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 8604 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp 55 ref 452 ref 758 ref 759 ref 33 ref nil 783 ref 8594 remove nil cons cons 7213 remove cons nil cons cons 1537 ref subst 7214 remove nil 2907 ref 8593 ref nil cons cons 8605 def 874 ref cons nil cons cons 2908 ref subst appThm trans appThm nil 6695 remove 8598 ref nil cons cons 842 remove cons nil cons cons 6696 remove subst 33 ref 6697 remove 727 ref 544 ref 6699 remove 6700 ref 6678 ref 543 ref 4 ref 2910 ref 783 ref 6680 remove refl 4 ref 783 ref 8597 ref absTerm 8606 def absTerm 8607 def 28 ref appTerm betaConv 3814 ref appThm 8606 remove 789 ref appTerm betaConv trans 8608 def appThm absThm appThm absThm appThm absThm appThm 8609 def appThm appThm 6709 remove appThm absThm appThm appThm 543 ref 4 ref 2910 ref 783 ref 544 ref 8608 ref appThm 6708 remove 790 ref appTerm betaConv appThm absThm appThm absThm appThm appThm nil "f" 735 remove var 736 ref nil cons cons 8610 def "p" 18 ref 3 ref 804 ref cons opType var 8607 remove nil cons cons 8611 def 6713 remove cons cons nil cons cons 2915 ref 323 ref "C" 732 ref cons nil cons cons cons 218 ref cons "q" 4522 ref var 8612 def 23 ref 36 ref 4523 ref constTerm 8613 def "z" 4499 ref var 8614 def 75 ref 42 ref 18 ref 4499 ref 4614 remove cons opType constTerm 8615 def 8614 ref varTerm 8616 def appTerm 423 ref 18 ref 4522 ref 4508 ref cons opType constTerm 8617 def "v" 4499 ref var 8618 def 39 ref 41 ref 794 ref 795 ref 75 ref 4534 ref 8618 ref varTerm appTerm 8619 def "f" 18 ref 1 ref 4547 remove cons opType 8620 def var 8621 def varTerm 8622 def 45 ref appTerm 8623 def 799 ref appTerm 8624 def appTerm appTerm 840 ref appTerm absTerm appTerm absTerm appTerm absTerm 8625 def appTerm appTerm 8626 def appTerm 8612 ref varTerm 8627 def 8616 ref appTerm 8628 def appTerm absTerm appTerm appTerm 39 ref 41 ref 794 ref 795 ref 75 ref 840 ref appTerm 8629 def 8627 ref 8624 ref appTerm 8630 def appTerm 8631 def absTerm 8632 def appTerm 8633 def absTerm 8634 def appTerm 8635 def appTerm absTerm 8636 def 8627 ref appTerm 8637 def betaConv 8621 ref 53 ref 18 ref 4523 ref 20 ref cons opType constTerm 8638 def 8636 ref appTerm 8639 def absTerm 8640 def 8622 ref appTerm 8641 def betaConv 837 ref 53 ref 18 ref 18 ref 8620 ref 20 ref cons opType 8642 def 20 ref cons opType constTerm 8643 def 8640 ref appTerm 8644 def absTerm 8645 def 838 ref appTerm 8646 def betaConv 7598 ref 837 ref 8643 ref refl 8647 def 8621 ref 8638 ref refl 8648 def 8612 ref 33 ref 8613 ref refl 8649 def 8614 ref 544 ref nil "p" 4522 ref var 8650 def 8625 ref nil cons cons 4526 ref 8616 ref nil cons cons nil cons 8651 def cons nil cons cons 4520 ref 449 ref subst 8652 def subst 8625 remove 8616 ref appTerm betaConv trans 8653 def appThm 8628 ref refl 8654 def appThm absThm appThm appThm 8635 ref refl appThm absThm appThm absThm appThm absThm appThm sym nil 2956 ref 837 ref 8643 ref 8621 ref 8638 ref 8612 ref 23 ref 8613 ref 8614 ref 75 ref 39 ref 41 ref 794 ref 795 ref 75 ref 4534 ref 8616 ref appTerm 8624 ref appTerm 8655 def appTerm 840 ref appTerm 8656 def absTerm 8657 def appTerm 8658 def absTerm 8659 def appTerm 8660 def appTerm 8628 ref appTerm 8661 def absTerm 8662 def appTerm 8663 def appTerm 8635 ref appTerm 8664 def absTerm 8665 def appTerm 8666 def absTerm 8667 def appTerm 8668 def absTerm nil cons cons nil cons nil cons cons 8362 ref subst 837 ref nil 99 ref 8668 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 8642 remove var 8669 def 8667 remove nil cons cons nil cons nil cons cons "A" 8620 ref nil cons cons nil cons 8670 def 218 ref cons 326 ref subst 8671 def subst 8621 ref nil 99 ref 8666 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 4523 remove var 8672 def 8665 remove nil cons cons nil cons nil cons cons "A" 4533 ref cons nil cons 8673 def 218 ref cons 326 ref subst 8674 def subst 8612 ref nil 99 ref 8664 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8663 ref nil cons 8675 def cons 68 ref 8635 ref nil cons 8676 def cons nil cons 8677 def cons nil cons cons 348 ref subst nil 4565 ref 8614 ref 69 ref 8662 ref 8616 ref appTerm 8678 def appTerm 8635 ref appTerm 8679 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 8614 ref nil 99 ref 8679 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8678 ref nil cons 8680 def cons 8677 ref cons nil cons cons 8681 def 86 ref subst 8681 remove 151 ref subst 8678 ref betaConv 8678 remove assume eqMp nil 67 ref 8661 remove nil cons 8682 def cons 8677 ref cons nil cons cons 8683 def 136 ref subst proveHyp 8683 ref 86 ref subst 8683 remove 151 ref subst nil 112 ref 8660 ref nil cons 8684 def cons 114 ref 8628 ref nil cons 8685 def cons nil cons 8686 def cons nil cons cons 8687 def 127 ref subst 8687 remove 347 ref subst nil 67 ref 8684 remove cons 8677 ref cons nil cons cons 136 ref subst nil 144 ref 41 ref 69 ref 8659 ref 45 ref appTerm 8688 def appTerm 8689 def 8635 ref appTerm 8690 def absTerm 8691 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 8690 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8688 ref nil cons 8692 def cons 8693 def 8677 ref cons nil cons cons 8694 def 86 ref subst 8694 remove 151 ref subst 8688 ref betaConv 8688 remove assume eqMp 8695 def nil 67 ref 8658 ref nil cons cons 8696 def 8677 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 69 ref 8657 ref 799 ref appTerm 8697 def appTerm 8698 def 8635 ref appTerm 8699 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 8699 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8697 ref nil cons 8700 def cons 8701 def 8677 ref cons nil cons cons 8702 def 86 ref subst 8702 remove 151 ref subst 8697 ref betaConv 8697 remove assume eqMp 8703 def nil 67 ref 8656 remove nil cons 8704 def cons 8705 def 8677 remove cons nil cons cons 8706 def 136 ref subst proveHyp 8706 ref 86 ref subst 8706 remove 151 ref subst nil 112 ref 8655 ref nil cons cons 905 remove cons nil cons cons 8707 def 127 ref subst 8708 def 8707 remove 347 ref subst 8709 def 8634 ref 45 ref appTerm 8710 def betaConv 8711 def sym 8632 ref 799 ref appTerm 8712 def betaConv 8713 def sym 544 ref 908 ref appThm 23 ref "_10687" 4499 ref var 8714 def 8627 ref 8714 remove varTerm appTerm absTerm 8715 def 8616 ref appTerm 8716 def appTerm refl 8715 ref 8624 ref appTerm betaConv appThm 33 ref 8716 remove betaConv appThm 8630 ref refl appThm trans 8715 remove refl 8655 remove assume appThm eqMp sym 8717 def nil 99 ref 8685 ref cons nil cons nil cons cons 106 ref subst 8628 ref assume eqMp trans appThm 941 ref trans sym 105 ref eqMp eqMp 870 ref 871 ref 8632 ref nil cons cons 8718 def 1462 ref cons nil cons cons 594 ref subst proveHyp eqMp 309 ref 144 ref 8634 remove nil cons cons 8719 def 311 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 8704 remove cons 8720 def 114 ref 8676 remove cons nil cons 8721 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8700 remove cons 8722 def 8721 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 8657 ref 910 ref appTerm appTerm 8723 def 8635 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8658 remove appTerm 8724 def 8635 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 8657 remove nil cons cons 8725 def 8721 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 8692 remove cons 8726 def 8721 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 8691 remove appTerm nil cons cons 68 ref 69 ref 8660 remove appTerm 8727 def 8635 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 8659 remove nil cons cons 8728 def 8721 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 8682 remove cons 8721 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8680 remove cons 8721 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4524 ref 4526 ref 69 ref 8662 ref 4528 ref appTerm appTerm 8635 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8663 ref appTerm 8635 ref appTerm nil cons 8729 def cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 4565 ref 8662 ref nil cons cons 8730 def 8721 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 8729 remove cons 68 ref 69 ref 8635 remove appTerm 8663 ref appTerm nil cons cons nil cons 8731 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 41 ref 69 ref 8710 ref appTerm 8663 ref appTerm 8732 def absTerm 8733 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 8732 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8710 ref nil cons 8734 def cons 68 ref 8675 ref cons nil cons 8735 def cons nil cons cons 8736 def 86 ref subst 8736 remove 151 ref subst 8711 remove 8710 remove assume eqMp nil 67 ref 8633 ref nil cons cons 8735 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 69 ref 8712 ref appTerm 8663 ref appTerm 8737 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 8737 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8712 ref nil cons 8738 def cons 8735 ref cons nil cons cons 8739 def 86 ref subst 8739 remove 151 ref subst 8713 remove 8712 remove assume eqMp nil 67 ref 8631 remove nil cons 8740 def cons 8735 remove cons nil cons cons 8741 def 136 ref subst proveHyp 8741 ref 86 ref subst 8741 remove 151 ref subst nil 112 ref 904 ref cons 114 ref 8630 ref nil cons 8742 def cons nil cons cons nil cons cons 8743 def 127 ref subst 8744 def 8743 remove 347 ref subst 8662 remove 8624 ref appTerm betaConv sym 75 ref 39 ref 1134 ref 794 ref 3829 ref 75 ref 4534 ref 8624 ref appTerm 8745 def 8622 ref 1137 ref appTerm 3830 ref appTerm appTerm appTerm 838 remove 1137 ref appTerm 8746 def 3830 ref appTerm 8747 def appTerm absTerm appTerm absTerm 8748 def appTerm 8749 def appTerm refl nil 99 ref 8742 ref cons nil cons nil cons cons 106 ref subst 8630 ref assume eqMp appThm nil 99 ref 8749 remove nil cons 8750 def cons nil cons nil cons cons 1362 ref subst trans sym 8748 ref 45 ref appTerm betaConv sym 3829 ref 75 ref 8745 remove 8623 remove 3830 ref appTerm appTerm appTerm 839 remove 3830 ref appTerm 8751 def appTerm absTerm 8752 def 799 ref appTerm betaConv sym 544 ref nil 4526 ref 8624 remove nil cons 8753 def cons nil cons 8754 def nil cons cons 4581 ref subst appThm 908 remove appThm 941 ref trans sym 105 ref eqMp eqMp 870 ref 871 ref 8752 remove nil cons cons 1462 ref cons nil cons cons 594 ref subst proveHyp eqMp 309 ref 144 ref 8748 remove nil cons cons 311 ref cons nil cons cons 594 ref subst proveHyp 8755 def eqMp eqMp 4519 ref 8730 remove 8754 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 8740 remove cons 114 ref 8675 remove cons nil cons 8756 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8738 remove cons 8756 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 8632 remove 910 ref appTerm appTerm 8663 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8633 remove appTerm 8663 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 8718 remove 8756 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 8734 remove cons 8756 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 8733 remove appTerm nil cons cons 8731 remove cons nil cons cons 136 ref subst proveHyp 309 ref 8719 remove 8756 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 8757 def nil 67 ref 2953 ref 8645 ref appTerm 8758 def nil cons cons 68 ref 8646 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 2955 remove 2956 ref 8645 remove nil cons cons 2958 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8644 remove nil cons cons 68 ref 8641 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 8670 ref 8669 ref 8640 remove nil cons cons "x" 8620 ref var 8622 ref nil cons cons nil cons 8759 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8639 remove nil cons cons 68 ref 8637 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 8673 remove 8672 ref 8636 remove nil cons cons "x" 4522 remove var 8627 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp subst subst eqMp trans 543 ref 4 ref 2910 ref 783 ref 75 ref 8597 ref appTerm 8760 def refl 1538 remove appThm absThm appThm absThm appThm trans appThm absThm appThm absThm appThm trans sym nil 144 ref 452 ref 757 ref 759 ref 23 ref 7227 remove 2909 ref 783 ref 75 ref 8596 ref appTerm 1543 ref appTerm 8761 def absTerm 8762 def appTerm 8763 def appTerm 8764 def appTerm 534 ref 4 ref 2909 ref 783 ref 8760 remove 1544 ref appTerm 8765 def absTerm 8766 def appTerm 8767 def absTerm 8768 def appTerm 8769 def appTerm 8770 def absTerm 8771 def appTerm 8772 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 8772 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 8771 remove nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 8770 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8764 ref nil cons 8773 def cons 68 ref 8769 ref nil cons 8774 def cons nil cons 8775 def cons nil cons cons 8776 def 348 ref subst 8776 ref 86 ref subst 8776 remove 151 ref subst nil 112 ref 7244 ref cons 114 ref 8763 ref nil cons 8777 def cons nil cons cons nil cons cons 8778 def 127 ref subst 8778 remove 347 ref subst nil 67 ref 7244 remove cons 8779 def 8775 ref cons nil cons cons 136 ref subst nil 317 ref 4 ref 69 ref 7225 ref 28 ref appTerm 8780 def appTerm 8769 ref appTerm 8781 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 8781 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8780 ref nil cons 8782 def cons 8775 ref cons nil cons cons 8783 def 86 ref subst 8783 remove 151 ref subst 8780 ref betaConv 8784 def 8780 remove assume eqMp nil 67 ref 7223 remove 1540 ref appTerm nil cons 8785 def cons 8775 ref cons nil cons cons 8786 def 136 ref subst proveHyp 8786 ref 86 ref subst 8786 remove 151 ref subst nil 4921 ref 114 ref 1558 ref cons nil cons 8787 def cons nil cons cons 8788 def 127 ref subst 8788 remove 347 ref subst nil 67 ref 8777 ref cons 8775 ref cons nil cons cons 136 ref subst nil 820 ref 783 ref 69 ref 8762 ref 789 ref appTerm 8789 def appTerm 8769 ref appTerm 8790 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 8790 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8789 ref nil cons 8791 def cons 8775 ref cons nil cons cons 8792 def 86 ref subst 8792 remove 151 ref subst 8789 ref betaConv 8793 def 8789 remove assume eqMp nil 67 ref 8761 remove nil cons 8794 def cons 8775 remove cons nil cons cons 8795 def 136 ref subst proveHyp 8795 ref 86 ref subst 8795 remove 151 ref subst nil 112 ref 8596 ref nil cons 8796 def cons 8797 def 114 ref 1557 remove cons nil cons 8798 def cons nil cons cons 8799 def 127 ref subst 8799 remove 347 ref subst 8768 ref 28 ref appTerm 8800 def betaConv 8801 def sym 8766 ref 789 ref appTerm 8802 def betaConv 8803 def sym 544 ref 4894 ref nil 99 ref 8796 ref cons nil cons nil cons cons 106 ref subst 8596 ref assume eqMp 8804 def appThm 941 ref trans 8805 def appThm 544 ref 7246 remove 106 ref subst 1540 ref assume eqMp 8806 def appThm 5258 remove 106 ref subst 1543 ref assume eqMp 8807 def appThm 941 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp 819 ref 820 ref 8766 ref nil cons cons 8808 def 823 ref cons nil cons cons 594 ref subst proveHyp eqMp 324 ref 317 ref 8768 ref nil cons cons 8809 def 359 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 8794 remove cons 114 ref 8774 remove cons nil cons 8810 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8791 remove cons 8810 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 812 ref 821 ref 69 ref 8762 ref 4818 ref appTerm appTerm 8769 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8763 remove appTerm 8769 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 8762 remove nil cons cons 8811 def 8810 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 8785 remove cons 8810 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8782 remove cons 8810 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 7225 ref 1822 ref appTerm appTerm 8769 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 7226 remove appTerm 8769 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 7225 remove nil cons cons 8812 def 8810 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 8773 ref cons 8810 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 8764 ref appTerm 8769 ref appTerm nil cons cons 68 ref 69 ref 8769 remove appTerm 8764 ref appTerm nil cons cons nil cons 8813 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 4 ref 69 ref 8800 ref appTerm 8764 ref appTerm 8814 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 8814 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8800 ref nil cons 8815 def cons 68 ref 8773 ref cons nil cons 8816 def cons nil cons cons 8817 def 86 ref subst 8817 remove 151 ref subst 8801 remove 8800 remove assume eqMp nil 67 ref 8767 ref nil cons cons 8816 ref cons nil cons cons 136 ref subst proveHyp nil 820 ref 783 ref 69 ref 8802 ref appTerm 8764 ref appTerm 8818 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 8818 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8802 ref nil cons 8819 def cons 8816 ref cons nil cons cons 8820 def 86 ref subst 8820 remove 151 ref subst 8803 remove 8802 remove assume eqMp nil 67 ref 8765 remove nil cons 8821 def cons 8816 remove cons nil cons cons 8822 def 136 ref subst proveHyp 8822 ref 86 ref subst 8822 remove 151 ref subst nil 112 ref 8597 ref nil cons 8823 def cons 8824 def 114 ref 1545 remove cons nil cons cons nil cons cons 8825 def 127 ref subst 8825 remove 347 ref subst nil 4921 ref 114 ref 8796 ref cons nil cons cons nil cons cons 8826 def 127 ref subst 8827 def 8826 remove 347 ref subst 8828 def nil 6197 ref 8798 remove cons nil cons cons 8829 def 127 ref subst 8829 remove 347 ref subst 8784 remove sym 4894 remove 8806 ref appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 8812 remove 359 ref cons nil cons cons 594 ref subst proveHyp nil 8779 remove 68 ref 8777 remove cons nil cons cons nil cons cons 151 ref subst proveHyp 8793 remove sym 544 ref 8804 remove appThm 8807 remove appThm 941 ref trans sym 105 ref eqMp eqMp 819 ref 8811 remove 823 ref cons nil cons cons 594 ref subst proveHyp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 8821 remove cons 114 ref 8773 remove cons nil cons 8830 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 8819 remove cons 8830 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 812 ref 821 ref 69 ref 8766 remove 4818 ref appTerm appTerm 8764 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8767 remove appTerm 8764 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 8808 remove 8830 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 8815 remove cons 8830 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 8768 remove 1822 ref appTerm appTerm 8764 remove appTerm absTerm appTerm nil cons cons 8813 remove cons nil cons cons 136 ref subst proveHyp 324 ref 8809 remove 8830 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 8603 remove appTerm thm nil 7257 ref 2930 ref 54 ref 41 ref 288 ref 11 ref 23 ref 288 ref 4 ref 69 ref 3382 ref appTerm 8831 def 7266 ref appTerm absTerm appTerm appTerm 288 ref 4 ref 3381 ref 75 ref 7266 ref appTerm 8832 def 7258 ref 1161 ref appTerm 8833 def appTerm appTerm absTerm appTerm appTerm 8834 def absTerm 8835 def appTerm 8836 def absTerm 8837 def appTerm 8838 def absTerm 8839 def nil cons cons nil cons nil cons cons 7273 ref subst 2930 ref nil 99 ref 8838 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 8837 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 8836 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 8835 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 8834 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 292 ref 4 ref 329 ref 4055 remove appThm 7266 ref refl 8840 def appThm absThm appThm appThm 292 ref 4 ref 3381 ref refl 8841 def 8832 ref refl 7299 ref 1316 remove appThm appThm appThm absThm appThm appThm sym 33 ref 4056 remove nil 67 ref 288 ref 4 ref 69 ref 4253 ref appTerm 8842 def 7266 ref appTerm 8843 def absTerm 8844 def appTerm 8845 def nil cons 8846 def cons 8847 def 68 ref 288 ref 3230 ref 288 ref "u'" 3 ref var 8848 def 69 ref 75 ref 686 ref 3231 ref appTerm 8849 def 30 ref appTerm 8850 def appTerm 8851 def 686 ref 8848 ref varTerm 8852 def appTerm 8853 def 498 ref appTerm 8854 def appTerm 8855 def appTerm 8856 def 7258 ref 7157 remove 8852 ref appTerm 8857 def appTerm 8858 def appTerm 8859 def absTerm 8860 def appTerm 8861 def absTerm 8862 def appTerm 8863 def nil cons 8864 def cons nil cons cons nil cons cons 8865 def 348 ref subst 8865 ref 86 ref subst 8865 remove 151 ref subst nil 317 ref 8862 ref nil cons cons 8866 def nil cons nil cons cons 327 ref subst 3230 ref nil 99 ref 8861 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 8860 remove nil cons cons nil cons nil cons cons 327 ref subst 8848 ref nil 99 ref 8859 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8855 ref nil cons 8867 def cons 68 ref 8858 ref nil cons 8868 def cons nil cons 8869 def cons nil cons cons 8870 def 86 ref subst 8870 remove 151 ref subst nil 112 ref 8850 ref nil cons 8871 def cons 114 ref 8854 ref nil cons 8872 def cons nil cons cons nil cons cons 8873 def 127 ref subst 8873 remove 347 ref subst nil 494 ref 4012 remove cons 8874 def 11 ref 8852 ref nil cons 8875 def cons 7048 ref cons cons nil cons cons 4995 ref subst sym "t''" 3 ref var 8876 def 75 ref 8849 ref 8876 remove varTerm 8877 def appTerm appTerm 686 ref 8877 remove appTerm 3998 ref appTerm appTerm absTerm 8878 def 30 ref appTerm betaConv sym 544 ref nil 99 ref 8871 ref cons nil cons nil cons cons 106 ref subst 8850 ref assume eqMp appThm 4014 remove nil 99 ref 1996 remove nil cons cons nil cons nil cons cons 106 ref subst 1997 ref 30 ref appTerm 8879 def betaConv 1999 ref 28 ref appTerm 8880 def betaConv 1995 remove nil 67 ref 2000 remove nil cons cons 68 ref 8880 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1999 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 1998 remove nil cons cons 68 ref 8879 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 1997 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp subst appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 8878 ref nil cons cons 361 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 534 ref 8878 remove appTerm nil cons cons 68 ref 8849 remove 3998 ref appTerm 8881 def nil cons 8882 def cons nil cons cons nil cons cons 136 ref subst proveHyp nil 8874 ref 7048 remove cons nil cons cons 4410 ref subst eqMp nil 67 ref 8882 remove cons 68 ref 8853 ref 3998 ref appTerm nil cons cons nil cons 8883 def cons nil cons cons 151 ref subst proveHyp 3230 ref 75 ref 8853 ref 3231 ref appTerm appTerm 8881 remove appTerm absTerm 8884 def 498 ref appTerm betaConv sym 544 ref nil 99 ref 8872 ref cons nil cons nil cons cons 106 ref subst 8854 ref assume eqMp appThm 6274 ref nil 99 ref 2004 remove nil cons cons nil cons nil cons cons 106 ref subst 2005 ref 30 ref appTerm 8885 def betaConv 2007 ref 28 ref appTerm 8886 def betaConv 2003 remove nil 67 ref 2008 remove nil cons cons 68 ref 8886 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2007 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2006 remove nil cons cons 68 ref 8885 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2005 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp subst appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 8884 ref nil cons cons 4039 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 534 ref 8884 remove appTerm nil cons cons 8883 remove cons nil cons cons 136 ref subst proveHyp nil 8874 remove 4 ref 8875 remove cons nil cons cons nil cons cons 4410 ref subst eqMp eqMp eqMp nil 67 ref 686 ref 8857 ref appTerm 3998 remove appTerm nil cons cons 8869 remove cons nil cons cons 136 ref subst proveHyp nil 4 ref 8857 ref nil cons cons nil cons nil cons cons 8844 ref 28 ref appTerm 8887 def betaConv nil 8847 remove 68 ref 8887 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 8844 remove nil cons cons 8888 def 359 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp proveHyp proveHyp eqMp nil 112 ref 8867 ref cons 114 ref 8868 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 8846 ref cons 114 ref 8864 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 8845 ref appTerm 8863 ref appTerm nil cons cons 68 ref 69 ref 8863 ref appTerm 8845 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 8864 ref cons 8889 def 68 ref 8846 ref cons nil cons cons nil cons cons 8890 def 86 ref subst 8890 remove 151 ref subst nil 8888 remove nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 8843 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 4253 ref nil cons 8891 def cons 7282 ref cons nil cons cons 8892 def 86 ref subst 8892 remove 151 ref subst 8848 ref 69 ref 75 ref 2019 remove 30 ref appTerm appTerm 8893 def 8854 ref appTerm appTerm 7258 ref 5103 remove 8852 ref appTerm appTerm appTerm absTerm 8894 def 5025 ref appTerm 8895 def betaConv 8862 remove 610 remove appTerm 8896 def betaConv nil 8889 remove 68 ref 8896 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 8866 remove 2753 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 288 ref 8894 ref appTerm nil cons cons 68 ref 8895 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 8894 remove nil cons cons 356 ref 5026 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 8893 remove 686 ref 5025 remove appTerm 498 ref appTerm appTerm appTerm 7258 ref 5104 ref appTerm 8897 def appTerm nil cons cons 7282 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 544 ref nil 637 ref 713 ref cons nil cons cons nil 99 ref 2021 remove nil cons cons nil cons nil cons cons 106 ref subst 2022 ref 30 ref appTerm 8898 def betaConv 2024 ref 28 ref appTerm 8899 def betaConv 2020 remove nil 67 ref 2025 remove nil cons cons 68 ref 8899 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2024 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2023 remove nil cons cons 68 ref 8898 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2022 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp 8900 def subst appThm nil 5099 remove 713 remove cons nil cons cons 8900 remove subst appThm 941 ref trans appThm 8897 ref refl appThm nil 99 ref 8897 ref nil cons 8901 def cons nil cons nil cons cons 2033 ref subst trans appThm 8840 ref appThm sym 7299 ref 640 ref 494 ref 27 ref 5104 remove appTerm 5102 remove appTerm 8902 def absTerm 8903 def 498 ref appTerm 8904 def betaConv 11 ref 288 ref 8903 ref appTerm 8905 def absTerm 8906 def 30 ref appTerm 8907 def betaConv 4 ref 288 ref 8906 ref appTerm 8908 def absTerm 8909 def 28 ref appTerm 8910 def betaConv 292 ref 4 ref 292 ref 11 ref 292 ref 494 ref 8902 remove assume sym 5105 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 5137 remove eqMp nil 67 ref 288 ref 8909 ref appTerm nil cons cons 68 ref 8910 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 8909 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8908 remove nil cons cons 68 ref 8907 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 8906 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8905 remove nil cons cons 68 ref 8904 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 8903 remove nil cons cons 4039 ref cons nil cons cons 161 ref subst eqMp eqMp appThm 1394 ref appThm 4013 remove 11 ref 23 ref 2279 remove appTerm 688 ref appTerm 8911 def absTerm 8912 def 30 ref appTerm 8913 def betaConv 4 ref 288 ref 8912 ref appTerm 8914 def absTerm 8915 def 28 ref appTerm 8916 def betaConv 292 ref 4 ref 292 ref 11 ref 8911 remove assume sym 2280 remove assume sym deductAntisym absThm appThm absThm appThm 2304 remove eqMp nil 67 ref 288 ref 8915 ref appTerm nil cons cons 68 ref 8916 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 8915 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8914 remove nil cons cons 68 ref 8913 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 8912 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp subst nil 99 ref 8891 ref cons nil cons nil cons cons 106 ref subst 4253 ref assume eqMp trans trans sym 105 ref eqMp appThm nil 67 ref 23 ref 8897 ref appTerm 7266 ref appTerm nil cons cons 68 ref 69 ref 8897 remove appTerm 7266 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil "b" 19 ref var 8917 def 7280 ref cons "a" 19 ref var 8918 def 8901 remove cons nil cons cons nil cons cons 8917 ref 69 ref 23 ref 8918 ref varTerm 8919 def appTerm 8920 def 8917 ref varTerm 8921 def appTerm appTerm 69 ref 8919 ref appTerm 8921 ref appTerm appTerm absTerm 8922 def 8921 ref appTerm 8923 def betaConv 8918 ref 198 ref 8922 ref appTerm 8924 def absTerm 8925 def 8919 ref appTerm 8926 def betaConv nil 198 ref 8925 ref appTerm 8927 def axiom nil 67 ref 8927 remove nil cons cons 68 ref 8926 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 8925 remove nil cons cons 166 ref 8919 ref nil cons cons nil cons 8928 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 8924 remove nil cons cons 68 ref 8923 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 8922 remove nil cons cons 166 ref 8921 ref nil cons 8929 def cons nil cons cons nil cons cons 161 ref subst eqMp eqMp 8930 def subst eqMp eqMp eqMp eqMp nil 112 ref 8891 remove cons 7297 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 8864 remove cons 114 ref 8846 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp 8931 def subst 292 ref 3230 ref 292 ref 8848 ref 329 ref 544 ref 7049 remove 6024 remove subst appThm 8853 remove 30 ref appTerm 8932 def refl appThm appThm 8858 ref refl appThm absThm appThm absThm appThm trans appThm 288 ref 4 ref 3381 ref 8832 remove 7258 ref 1219 remove appTerm 8933 def appTerm 8934 def appTerm 8935 def absTerm 8936 def appTerm 8937 def refl appThm sym nil 67 ref 288 ref 3230 ref 288 ref 8848 ref 69 ref 75 ref 251 ref 7025 ref 13 ref appTerm appTerm 7025 remove 1123 ref appTerm appTerm appTerm 8932 ref appTerm appTerm 8858 ref appTerm absTerm appTerm absTerm 8938 def appTerm 8939 def nil cons 8940 def cons 8941 def 68 ref 8937 ref nil cons 8942 def cons nil cons cons nil cons cons 8943 def 348 ref subst 8943 ref 86 ref subst 8943 remove 151 ref subst nil 317 ref 8936 ref nil cons cons 8944 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 8935 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1063 ref 68 ref 8934 remove nil cons 8945 def cons nil cons cons nil cons cons 8946 def 86 ref subst 8946 remove 151 ref subst 8848 ref 69 ref 75 ref 6019 remove appTerm 8947 def 8932 ref appTerm appTerm 7258 ref 1300 remove 8852 ref appTerm appTerm appTerm absTerm 8948 def 28 ref appTerm 8949 def betaConv 8938 ref 13 ref appTerm 8950 def betaConv nil 8941 ref 68 ref 8950 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 8938 ref nil cons cons 8951 def 1214 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 288 ref 8948 ref appTerm nil cons cons 68 ref 8949 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 8948 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 8947 remove 688 ref appTerm appTerm 7258 ref 1301 remove appTerm appTerm nil cons cons 7282 remove cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 544 ref 6020 remove appThm 1057 ref appThm 941 ref trans appThm 7299 ref 1314 ref appThm appThm 7281 ref 2033 ref subst trans appThm 8840 ref appThm 7281 remove 409 ref subst trans sym 105 ref eqMp eqMp nil 67 ref 7280 ref cons 68 ref 8933 ref nil cons 8952 def cons nil cons 8953 def cons nil cons cons 151 ref subst proveHyp 8848 ref 69 ref 75 ref 251 ref 27 ref 1123 ref appTerm 8954 def 13 ref appTerm 8955 def appTerm 8956 def 8954 remove 1123 ref appTerm appTerm appTerm 8957 def 8932 ref appTerm appTerm 7258 ref 1218 ref 8852 ref appTerm appTerm appTerm absTerm 8958 def 28 ref appTerm 8959 def betaConv 8938 remove 1123 ref appTerm 8960 def betaConv nil 8941 remove 68 ref 8960 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 8951 remove 356 ref 1135 remove cons nil cons 8961 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 288 ref 8958 ref appTerm nil cons cons 68 ref 8959 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 8958 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 8957 remove 688 ref appTerm appTerm 8933 ref appTerm nil cons cons 8953 remove cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 544 ref 8956 remove refl nil 8961 ref nil cons cons 1108 remove subst appThm nil 99 ref 8955 remove nil cons cons nil cons nil cons cons 1612 ref subst trans appThm 1057 ref appThm 941 ref trans appThm 8933 remove refl 8962 def appThm nil 99 ref 8952 remove cons nil cons nil cons cons 8963 def 2033 ref subst trans appThm 8962 remove appThm 8963 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp eqMp nil 1051 ref 114 ref 8945 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 8940 ref cons 114 ref 8942 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 8939 ref appTerm 8937 ref appTerm nil cons cons 68 ref 69 ref 8937 remove appTerm 8939 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 8942 ref cons 8964 def 68 ref 8940 ref cons nil cons cons nil cons cons 8965 def 86 ref subst 8965 remove 151 ref subst nil 317 ref 3502 ref 288 ref 8848 ref 69 ref 75 ref 251 ref 3504 ref 13 ref appTerm 8966 def appTerm 4736 ref appTerm 8967 def appTerm 8968 def 8932 remove appTerm appTerm 7258 ref 1217 ref 3503 ref appTerm 8969 def 8852 ref appTerm appTerm appTerm absTerm appTerm 8970 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 3502 ref nil 99 ref 8970 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 494 ref 69 ref 8968 remove 4313 ref appTerm 8971 def appTerm 7258 ref 8969 remove 498 ref appTerm appTerm 8972 def appTerm 8973 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 8973 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 8971 remove nil cons 8974 def cons 68 ref 8972 remove nil cons 8975 def cons nil cons 8976 def cons nil cons cons 8977 def 86 ref subst 8977 remove 151 ref subst nil 112 ref 8967 remove nil cons cons 114 ref 4419 ref cons nil cons cons nil cons cons 8978 def 127 ref subst 8978 remove 347 ref subst nil 67 ref 4736 ref nil cons 8979 def cons 8976 ref cons nil cons cons 8980 def 86 ref subst 8980 remove 151 ref subst 8936 remove 498 ref appTerm 8981 def betaConv nil 8964 remove 68 ref 8981 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 8944 remove 4039 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 4313 ref appTerm 75 ref 7258 ref 498 ref appTerm 8982 def appTerm 7258 ref 1218 remove 498 ref appTerm appTerm 8983 def appTerm 8984 def appTerm nil cons cons 8976 ref cons nil cons cons 136 ref subst proveHyp 8985 def 329 ref 329 ref nil 99 ref 4419 ref cons nil cons nil cons cons 106 ref subst 4313 remove assume eqMp appThm 8984 ref refl appThm nil 99 ref 8984 remove nil cons 8986 def cons nil cons nil cons cons 2033 ref subst trans appThm 8987 def 7299 ref 5098 ref 4736 remove assume appThm 498 ref refl 8988 def appThm appThm appThm sym nil 67 ref 8986 ref cons 8989 def 68 ref 8983 remove nil cons 8990 def cons nil cons cons nil cons cons 8991 def 86 ref subst 8991 remove 151 ref subst nil 112 ref 8982 remove nil cons 8992 def cons 114 ref 8990 remove cons nil cons 8993 def cons nil cons cons 8994 def 347 ref subst eqMp nil 112 ref 8986 remove cons 8995 def 8993 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 8979 ref cons 114 ref 8975 ref cons nil cons 8996 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 8966 ref nil cons 8997 def cons 8976 remove cons nil cons cons 8998 def 86 ref subst 8998 remove 151 ref subst 8985 remove 8987 remove 7299 remove 5098 remove 8966 remove assume appThm 8988 ref appThm 6274 ref 1314 remove subst trans appThm appThm sym nil 8989 remove 68 ref 8992 ref cons nil cons cons nil cons cons 8999 def 86 ref subst 8999 remove 151 ref subst 8994 remove 127 ref subst eqMp nil 8995 remove 114 ref 8992 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 8997 remove cons 9000 def 8996 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 9000 remove 114 ref 8979 remove cons 261 ref 8975 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 8974 remove cons 8996 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 8942 remove cons 114 ref 8940 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp 9001 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 7300 ref 8839 remove appTerm thm nil 7257 ref 2930 ref 54 ref 41 ref 288 ref 11 ref 23 ref 534 ref 4 ref 75 ref 3382 ref appTerm 7266 ref appTerm absTerm 9002 def appTerm 9003 def appTerm 534 ref 4 ref 957 remove 251 ref 7266 ref appTerm 8833 ref appTerm 9004 def appTerm absTerm 9005 def appTerm 9006 def appTerm 9007 def absTerm 9008 def appTerm 9009 def absTerm 9010 def appTerm 9011 def absTerm 9012 def nil cons cons nil cons nil cons cons 7273 ref subst 2930 ref nil 99 ref 9011 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 9010 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9009 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9008 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 9007 remove nil cons 9013 def cons nil cons nil cons cons 106 ref subst 33 ref 33 ref 35 ref 543 ref 4 ref 9002 ref 28 ref appTerm betaConv 9014 def absThm appThm appThm appThm 292 ref 4 ref 35 ref 9014 remove appThm absThm appThm appThm nil 2930 ref 9002 remove nil cons cons nil cons nil cons cons 3903 ref subst eqMp 292 ref 4 ref nil 163 ref 7280 ref cons 166 ref 3382 remove nil cons cons nil cons cons nil cons cons nil 174 ref 68 ref 23 ref 34 ref 7434 ref 175 ref appTerm appTerm appTerm 7432 ref 176 ref appTerm appTerm nil cons 9015 def cons nil cons 9016 def cons nil cons cons 9017 def 86 ref subst 9017 remove 151 ref subst 23 ref "_10517" 19 ref var 9018 def 23 ref 34 ref 75 ref 9018 remove varTerm 9019 def appTerm 175 ref appTerm appTerm appTerm 69 ref 9019 remove appTerm 176 ref appTerm appTerm absTerm 9020 def 169 ref appTerm 9021 def appTerm refl 9022 def 9020 ref 171 ref appTerm betaConv appThm 33 ref 9021 remove betaConv appThm 9023 def 23 ref 34 ref 545 ref 175 ref appTerm appTerm appTerm 520 ref 176 ref appTerm appTerm refl appThm trans 9020 remove refl 9024 def 192 ref appThm eqMp sym 33 ref 35 ref 206 ref 549 ref subst appThm 400 ref trans appThm 194 ref 524 ref subst appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 227 ref 114 ref 9015 ref cons nil cons 9025 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 231 ref 9016 remove cons nil cons cons 9026 def 86 ref subst 9026 remove 151 ref subst 9022 remove "_10515" 19 ref var 9027 def 23 ref 34 ref 75 ref 9027 remove varTerm 9028 def appTerm 175 ref appTerm appTerm appTerm 69 ref 9028 remove appTerm 176 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 9023 remove 23 ref 34 ref 558 ref 175 ref appTerm appTerm appTerm 2029 ref 176 ref appTerm appTerm refl appThm trans 9024 remove 238 ref appThm eqMp sym 33 ref 35 ref 206 remove 562 ref subst appThm appThm 194 remove 2033 ref subst appThm 226 remove trans sym 105 ref eqMp eqMp eqMp nil 250 ref 9025 remove cons nil cons cons 127 ref subst deductAntisym eqMp 259 ref nil 250 ref 260 ref 261 ref 9015 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp 9029 def subst absThm appThm trans appThm 33 ref 35 ref 543 ref 4 ref 9005 ref 28 ref appTerm betaConv 9030 def absThm appThm appThm appThm 292 ref 4 ref 35 ref 9030 remove appThm absThm appThm appThm nil 2930 ref 9005 remove nil cons cons nil cons nil cons cons 3903 remove subst eqMp 292 ref 4 ref nil 163 ref 9004 remove nil cons cons 166 ref 1050 ref cons nil cons cons nil cons cons 9029 remove subst absThm appThm trans appThm sym 33 ref 33 ref 292 ref 4 ref 8831 remove refl 4 ref 34 ref 7266 ref appTerm 9031 def absTerm 9032 def 28 ref appTerm betaConv 9033 def appThm absThm appThm appThm 292 ref 4 ref 8841 ref 544 ref 9033 ref appThm 9032 ref 1161 remove appTerm betaConv appThm appThm absThm appThm appThm nil 2930 ref 9032 ref nil cons cons nil cons nil cons cons 9034 def 9001 remove subst eqMp appThm 292 ref 4 ref 8841 ref nil 659 ref 8833 ref nil cons cons 661 ref 7280 remove cons nil cons cons nil cons cons 4024 ref subst appThm absThm appThm appThm nil 166 ref 288 ref 4 ref 3381 ref 75 ref 9031 ref appTerm 34 ref 8833 remove appTerm appTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp nil 67 ref 23 ref 34 ref 9003 ref appTerm appTerm 34 ref 9006 ref appTerm appTerm nil cons cons 68 ref 9013 remove cons nil cons cons nil cons cons 136 ref subst proveHyp nil 163 ref 9006 remove nil cons cons 166 ref 9003 remove nil cons cons nil cons cons nil cons cons nil 174 ref 68 ref 69 ref 387 remove 176 ref appTerm appTerm 170 remove 175 ref appTerm appTerm nil cons 9035 def cons nil cons 9036 def cons nil cons cons 9037 def 86 ref subst 9037 remove 151 ref subst 23 ref "_10521" 19 ref var 9038 def 69 ref 23 ref 34 ref 9038 remove varTerm 9039 def appTerm appTerm 176 ref appTerm appTerm 23 ref 9039 remove appTerm 175 ref appTerm appTerm absTerm 9040 def 169 ref appTerm 9041 def appTerm refl 9042 def 9040 ref 171 ref appTerm betaConv appThm 33 ref 9041 remove betaConv appThm 9043 def 69 ref 398 ref 176 ref appTerm appTerm 188 ref 175 ref appTerm appTerm refl appThm trans 9040 remove refl 9044 def 192 ref appThm eqMp sym 329 ref 401 ref 176 ref refl 9045 def appThm 243 remove trans appThm 419 remove appThm 420 remove trans sym 105 ref eqMp eqMp eqMp nil 227 ref 114 ref 9035 ref cons nil cons 9046 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 231 ref 9036 remove cons nil cons cons 9047 def 86 ref subst 9047 remove 151 ref subst 9042 remove "_10519" 19 ref var 9048 def 69 ref 23 ref 34 ref 9048 remove varTerm 9049 def appTerm appTerm 176 ref appTerm appTerm 23 ref 9049 remove appTerm 175 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 9043 remove 69 ref 416 ref 176 remove appTerm appTerm 235 ref 175 ref appTerm appTerm refl appThm trans 9044 remove 238 ref appThm eqMp sym 329 ref 418 ref 9045 remove appThm 212 remove trans appThm 403 remove appThm 410 remove trans sym 105 ref eqMp eqMp eqMp nil 250 ref 9046 remove cons nil cons cons 127 ref subst deductAntisym eqMp 259 ref nil 250 ref 260 ref 261 ref 9035 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp 9050 def subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 7300 ref 9012 remove appTerm thm nil 317 ref 4 ref 6669 ref 6670 ref 787 ref 788 ref 3052 ref 6671 ref appTerm 9051 def appTerm 9052 def appTerm 9053 def 3545 remove 18 ref 19 ref 5206 remove nil cons cons opType constTerm 9054 def 17 ref 18 ref 2897 ref 6681 remove cons opType constTerm 9055 def 6671 remove appTerm 12 ref 2897 ref constTerm 9056 def appTerm 9057 def appTerm 788 remove 738 ref appTerm 9058 def appTerm 482 ref 6675 remove constTerm 9059 def 6685 remove appTerm 9060 def appTerm 9061 def appTerm 9062 def absTerm 9063 def appTerm 9064 def absTerm 9065 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 9064 remove nil cons cons nil cons nil cons cons 106 ref subst nil 6691 ref 9063 remove nil cons cons nil cons nil cons cons 6692 ref subst 6670 remove nil 99 ref 9062 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_11924" 726 ref var 9066 def 9053 ref 9066 remove varTerm appTerm absTerm 9067 def 9061 remove appTerm betaConv appThm 544 ref 69 ref 9057 ref appTerm 9068 def refl 9067 ref 9058 ref appTerm betaConv appThm appThm 69 ref 34 ref 9057 ref appTerm 9069 def appTerm 9070 def refl 9067 ref 9060 ref appTerm betaConv appThm appThm appThm nil "_485" 726 ref var 9071 def 9060 ref nil cons cons "_482" 726 ref var 9072 def 9058 ref nil cons cons 3557 ref 9057 ref nil cons 9073 def cons nil cons cons cons nil cons cons nil "_484" 749 remove var 9074 def 9067 remove nil cons cons nil cons nil cons cons "A" 732 remove cons nil cons 218 ref cons 3574 ref subst 9075 def subst subst eqMp sym nil 67 ref 9073 ref cons 68 ref 9053 ref 9058 ref appTerm 9076 def nil cons 9077 def cons nil cons cons nil cons cons 9078 def 86 ref subst 9078 remove 151 ref subst 3711 remove 3052 ref refl 9079 def 9057 ref assume appThm 897 ref 528 remove subst 9080 def trans appThm eqMp nil 112 ref 9073 remove cons 9081 def 114 ref 9077 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 9068 remove 9076 remove appTerm nil cons cons 68 ref 9070 remove 9053 ref 9060 remove appTerm 9082 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 9069 remove nil cons 9083 def cons 9084 def 68 ref 9082 remove nil cons 9085 def cons nil cons cons nil cons cons 9086 def 86 ref subst 9086 remove 151 ref subst 9053 remove refl 6501 ref 9059 ref refl 9087 def 6707 remove appThm appThm 825 ref 793 ref 3725 ref "a" 724 ref var 9088 def 75 ref 797 remove 9088 ref varTerm 9089 def appTerm appTerm 9090 def refl 9091 def 1522 ref 783 ref 329 ref 6706 remove appThm 751 ref 9089 ref appTerm 9092 def refl 9093 def 6704 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil 6711 remove 6712 remove nil cons cons nil cons cons 818 remove "B" 725 ref cons nil cons 9094 def cons 218 ref cons 6377 ref subst 9095 def subst eqMp appThm sym nil 727 ref 792 ref 793 ref 3722 ref 9088 ref 9090 ref 812 ref 783 ref 69 ref 6684 ref appTerm 9096 def 9092 ref 790 ref appTerm 9097 def appTerm absTerm appTerm 9098 def appTerm absTerm appTerm absTerm 9099 def appTerm 9100 def nil cons cons 729 ref 9052 ref nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 9052 remove appTerm appTerm 753 ref 9100 ref appTerm appTerm absTerm 9101 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 9101 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 9101 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 783 ref 9051 ref nil cons cons 1529 ref cons nil cons cons 1537 ref subst appThm 781 ref 9100 ref appTerm refl appThm absThm appThm absThm appThm trans sym nil 144 ref 41 ref 757 ref 759 ref 23 ref 621 ref 1542 ref 9051 ref appTerm appTerm appTerm 751 ref 798 remove 764 ref appTerm appTerm 9102 def 9100 ref appTerm appTerm absTerm appTerm 9103 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9103 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 795 ref 23 ref 621 ref 806 ref 9051 remove appTerm appTerm appTerm 9104 def 1530 ref 9100 remove appTerm appTerm 9105 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 9105 remove nil cons cons nil cons nil cons cons 106 ref subst 9104 remove refl 9106 def nil 766 ref 9099 ref nil cons cons 748 ref 4624 remove cons nil cons 9107 def cons nil cons cons 843 ref subst 9099 remove 800 ref appTerm betaConv 33 ref 3725 ref 9088 ref 9088 ref 75 ref 796 ref 800 ref appTerm 9089 ref appTerm appTerm 9108 def 9098 remove appTerm absTerm 9109 def 9089 ref appTerm betaConv absThm appThm appThm 40 ref 452 ref 826 ref 759 ref 9109 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 9109 remove nil cons cons nil cons nil cons cons 3739 ref subst eqMp trans trans 40 ref 452 ref 826 ref 759 ref 544 ref nil 844 ref 873 ref cons 846 ref 867 remove cons 9110 def 1536 remove cons cons nil cons cons 876 ref subst appThm 9111 def 812 ref 783 ref 9096 ref 781 ref 790 remove appTerm 9112 def appTerm absTerm appTerm 9113 def refl appThm nil 1272 ref 9113 ref nil cons cons 659 ref 1411 remove 764 ref appTerm 9114 def nil cons cons 661 ref 4125 ref cons nil cons 9115 def cons 9116 def cons nil cons cons 1977 ref subst trans absThm appThm absThm appThm trans appThm sym 9106 remove 33 ref 40 ref 452 ref 826 ref 759 ref 452 ref 759 ref 2965 ref 75 ref 9114 remove appTerm 9117 def 9113 remove appTerm 9118 def appTerm absTerm 9119 def absTerm 9120 def 453 ref appTerm betaConv 833 ref appThm 9119 remove 764 ref appTerm betaConv trans 9121 def absThm appThm absThm appThm appThm 826 ref 759 ref 40 ref 452 ref 9121 remove absThm appThm absThm appThm appThm nil 837 ref 9120 remove nil cons cons nil cons nil cons cons 2959 ref subst eqMp appThm sym 33 ref 1357 ref nil 6694 ref 1462 ref cons nil cons cons 3075 ref subst appThm appThm 826 ref 759 ref 33 ref 40 ref 846 ref 75 ref 221 ref 848 ref appTerm appTerm refl 9122 def 452 ref 9118 remove absTerm 9123 def 848 ref appTerm betaConv appThm absThm appThm appThm 9123 ref 45 ref appTerm betaConv appThm nil 56 ref 9123 remove nil cons cons 1479 ref cons nil cons cons 1482 ref subst eqMp 9117 ref refl 9124 def 1522 ref 783 ref 9096 ref refl 9125 def nil 1528 remove nil cons 9126 def nil cons cons 1537 ref subst 9127 def appThm absThm appThm appThm trans absThm appThm 33 ref 826 ref 759 ref 9124 ref 759 ref 812 ref 783 ref 9096 ref 621 ref 1543 ref appTerm 9128 def appTerm absTerm appTerm absTerm 9129 def 764 ref appTerm betaConv appThm absThm appThm appThm 9129 ref 799 ref appTerm betaConv appThm nil 1461 ref 9129 remove nil cons cons 4750 ref 845 remove cons nil cons 9130 def cons nil cons cons 897 ref 1482 ref subst 9131 def subst eqMp trans appThm sym nil 2332 ref 68 ref 23 ref 621 ref 812 ref 783 ref 9096 ref 807 ref appTerm absTerm appTerm 9132 def appTerm appTerm 812 ref 783 ref 9096 ref 808 ref appTerm absTerm appTerm appTerm nil cons 9133 def cons nil cons 9134 def cons nil cons cons 9135 def 86 ref subst 9135 remove 151 ref subst 23 ref "_11934" 19 ref var 9136 def 23 ref 75 ref 9136 remove varTerm appTerm 9137 def 9132 ref appTerm appTerm 812 ref 783 ref 9096 ref 9137 remove 807 ref appTerm appTerm absTerm appTerm appTerm absTerm 9138 def 49 ref appTerm 9139 def appTerm refl 9140 def 9138 ref 171 ref appTerm betaConv appThm 33 ref 9139 remove betaConv appThm 9141 def 23 ref 545 ref 9132 ref appTerm appTerm 812 ref 783 ref 9096 ref 545 ref 807 ref appTerm appTerm absTerm appTerm appTerm refl appThm trans 9138 remove refl 9142 def 2345 ref appThm eqMp sym 33 ref nil 99 ref 9132 ref nil cons 9143 def cons nil cons nil cons cons 9144 def 549 ref subst appThm 1522 ref 783 ref 9125 ref 6666 remove appThm 6842 ref 1077 ref subst trans absThm appThm appThm nil 99 ref 812 ref 783 ref 34 ref 6684 remove appTerm absTerm 9145 def appTerm nil cons cons nil cons nil cons cons 204 ref subst 33 ref 35 ref 1522 ref 783 ref 9145 ref 789 ref appTerm betaConv 9146 def absThm appThm appThm appThm 2910 ref 783 ref 35 ref 9146 remove appThm absThm appThm appThm nil 2962 ref 9145 remove nil cons cons nil cons nil cons cons 1599 ref 2172 ref subst 9147 def subst eqMp 2910 ref 783 ref 6842 remove 210 ref subst absThm appThm nil 6694 remove nil cons nil cons cons 1599 ref 3783 remove subst subst 35 ref nil 9084 remove 68 ref 23 ref 9057 remove appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 9081 remove nil cons nil cons cons 1095 ref subst eqMp appThm 400 ref trans trans trans trans trans trans sym 105 ref eqMp eqMp eqMp nil 2346 ref 114 ref 9133 ref cons nil cons 9148 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2350 ref 9134 remove cons nil cons cons 9149 def 86 ref subst 9149 remove 151 ref subst 9140 remove "_11932" 19 ref var 9150 def 23 ref 75 ref 9150 remove varTerm appTerm 9151 def 9132 ref appTerm appTerm 812 ref 783 ref 9096 ref 9151 remove 807 ref appTerm appTerm absTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 9141 remove 23 ref 558 ref 9132 remove appTerm appTerm 812 ref 783 ref 9096 remove 558 ref 807 ref appTerm appTerm absTerm appTerm appTerm refl appThm trans 9142 remove 2356 ref appThm eqMp sym 33 ref 9144 remove 562 ref subst appThm 1522 ref 783 ref 9125 remove 3780 remove appThm absThm appThm appThm nil 166 ref 9143 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 2360 ref 9148 remove cons nil cons cons 127 ref subst deductAntisym eqMp 2362 ref nil 2360 ref 2363 ref 261 ref 9133 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 112 ref 9083 remove cons 114 ref 9085 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 9065 remove appTerm thm nil 510 ref 2602 ref 812 ref 1548 ref 787 ref 736 remove 8273 ref appTerm 9152 def 1617 ref appTerm 9153 def appTerm 9154 def 9054 ref 8276 remove appTerm 9155 def 737 ref 1617 ref appTerm 9156 def appTerm 9059 ref 6677 ref 6678 ref 534 ref 11 ref 75 ref 6679 ref 5352 ref appTerm appTerm 2621 remove appTerm absTerm appTerm absTerm appTerm appTerm 9157 def appTerm 9158 def appTerm 9159 def absTerm 9160 def appTerm 9161 def absTerm 9162 def nil cons cons nil cons nil cons cons 1695 ref subst 2602 ref nil 99 ref 9161 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 9160 remove nil cons cons nil cons nil cons cons 3128 ref subst 1548 ref nil 99 ref 9159 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_11936" 726 ref var 9163 def 9154 ref 9163 remove varTerm appTerm absTerm 9164 def 9158 remove appTerm betaConv appThm 544 ref 8287 ref 9164 ref 9156 ref appTerm betaConv appThm appThm 8290 ref 9164 ref 9157 ref appTerm betaConv appThm appThm appThm nil 9071 ref 9157 ref nil cons cons 9072 ref 9156 ref nil cons cons 8292 ref cons cons nil cons cons nil 9074 ref 9164 remove nil cons cons nil cons nil cons cons 9075 ref subst subst eqMp sym nil 8293 ref 68 ref 9154 ref 9156 remove appTerm 9165 def nil cons 9166 def cons nil cons cons nil cons cons 9167 def 86 ref subst 9167 remove 151 ref subst 3812 remove 8297 remove appThm 9168 def 6937 ref appThm eqMp nil 8298 ref 114 ref 9166 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 8286 ref 9165 remove appTerm nil cons cons 68 ref 8289 ref 9154 ref 9157 remove appTerm 9169 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 8301 ref 68 ref 9169 remove nil cons 9170 def cons nil cons cons nil cons cons 9171 def 86 ref subst 9171 remove 151 ref subst 9154 remove refl 6501 ref 9087 ref 6700 ref 6678 ref 543 ref 11 ref 544 ref 6701 ref 11 ref 5352 ref absTerm 9172 def 30 ref appTerm betaConv 9173 def appThm appThm 8307 remove appThm absThm appThm absThm appThm appThm appThm 825 ref 793 ref 3725 ref 9088 ref 9091 ref 292 ref 11 ref 8308 remove 9093 ref 9173 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil 7221 ref 9172 remove nil cons cons 8309 remove cons nil cons cons 323 ref 9094 ref cons 218 ref cons 6377 ref subst 9174 def subst eqMp appThm sym nil 727 ref 792 ref 793 ref 3722 ref 9088 ref 9090 ref 288 ref 11 ref 8310 ref 9092 ref 5352 ref appTerm appTerm absTerm appTerm 9175 def appTerm absTerm appTerm absTerm 9176 def appTerm 9177 def nil cons cons 729 ref 9153 ref nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 9153 remove appTerm appTerm 753 ref 9177 ref appTerm appTerm absTerm 9178 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 9178 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 9178 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 1619 ref 8355 remove 1529 ref cons 9179 def cons nil cons cons 1537 ref subst appThm 781 ref 9177 ref appTerm refl appThm absThm appThm absThm appThm trans sym nil 144 ref 41 ref 757 ref 759 ref 23 ref 75 ref 46 ref 8273 remove appTerm appTerm 9180 def 5358 ref appTerm appTerm 9102 ref 9177 ref appTerm appTerm absTerm appTerm 9181 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9181 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 795 ref 23 ref 9180 ref 806 ref 1617 ref appTerm 9182 def appTerm appTerm 9183 def 1530 ref 9177 remove appTerm appTerm 9184 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 9184 remove nil cons cons nil cons nil cons cons 106 ref subst 9183 remove refl 9185 def nil 766 ref 9176 ref nil cons cons 9107 ref cons nil cons cons 843 ref subst 9176 remove 800 ref appTerm betaConv 33 ref 3725 ref 9088 ref 9088 ref 9108 ref 9175 remove appTerm absTerm 9186 def 9089 ref appTerm betaConv absThm appThm appThm 40 ref 452 ref 826 ref 759 ref 9186 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 9186 remove nil cons cons nil cons nil cons cons 3739 ref subst eqMp trans trans 40 ref 452 ref 826 ref 759 ref 9111 ref 288 ref 11 ref 8310 ref 781 ref 5352 remove appTerm appTerm absTerm appTerm 9187 def refl appThm nil 1272 ref 9187 ref nil cons cons 9116 ref cons nil cons cons 1977 ref subst trans absThm appThm absThm appThm trans appThm sym 9185 remove 33 ref 40 ref 452 ref 826 ref 759 ref 452 ref 759 ref 2965 ref 9117 ref 9187 remove appTerm 9188 def appTerm absTerm 9189 def absTerm 9190 def 453 ref appTerm betaConv 833 ref appThm 9189 remove 764 ref appTerm betaConv trans 9191 def absThm appThm absThm appThm appThm 826 ref 759 ref 40 ref 452 ref 9191 remove absThm appThm absThm appThm appThm nil 837 ref 9190 remove nil cons cons nil cons nil cons cons 2959 ref subst eqMp appThm sym 33 ref 544 ref 8313 remove appThm 9192 def 9182 ref refl appThm appThm 826 ref 759 ref 33 ref 40 ref 846 ref 9122 ref 452 ref 9188 remove absTerm 9193 def 848 ref appTerm betaConv appThm absThm appThm appThm 9193 ref 45 ref appTerm betaConv appThm nil 56 ref 9193 remove nil cons cons 1479 ref cons nil cons cons 1482 ref subst eqMp 9124 ref 292 ref 11 ref 8315 ref nil 1619 ref 637 ref 9126 ref cons cons nil cons cons 1537 ref subst appThm absThm appThm appThm trans absThm appThm 33 ref 826 ref 759 ref 9124 ref 759 ref 288 ref 11 ref 8310 ref 653 ref 5358 remove appTerm appTerm absTerm appTerm absTerm 9194 def 764 ref appTerm betaConv appThm absThm appThm appThm 9194 ref 799 ref appTerm betaConv appThm nil 1461 ref 9194 remove nil cons cons 9130 ref cons nil cons cons 9131 ref subst eqMp trans appThm sym nil 67 ref 23 ref 9182 ref appTerm 9195 def 171 ref appTerm 9196 def nil cons 9197 def cons 68 ref 23 ref 75 ref 8317 remove appTerm 9198 def 9182 ref appTerm appTerm 288 ref 11 ref 8310 ref 653 ref 9182 ref appTerm appTerm absTerm appTerm appTerm nil cons 9199 def cons nil cons 9200 def cons nil cons cons 9201 def 86 ref subst 9201 remove 151 ref subst 23 ref "_11946" 19 ref var 9202 def 23 ref 9198 ref 9202 remove varTerm 9203 def appTerm appTerm 288 ref 11 ref 8310 ref 653 ref 9203 remove appTerm appTerm absTerm appTerm appTerm absTerm 9204 def 9182 ref appTerm 9205 def appTerm refl 9206 def 9204 ref 171 ref appTerm betaConv appThm 33 ref 9205 remove betaConv appThm 9207 def 23 ref 9198 ref 171 ref appTerm appTerm 288 ref 11 ref 8310 ref 653 ref 171 ref appTerm appTerm absTerm appTerm appTerm refl appThm trans 9204 remove refl 9208 def 9196 remove assume appThm eqMp sym 33 ref 8330 ref 1106 ref subst appThm 292 ref 11 ref 8315 ref 5059 remove appThm 8332 remove trans absThm appThm appThm 8343 remove trans sym 105 ref eqMp eqMp eqMp nil 112 ref 9197 ref cons 114 ref 9199 ref cons nil cons 9209 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 9195 ref 91 ref appTerm 9210 def nil cons 9211 def cons 9200 remove cons nil cons cons 9212 def 86 ref subst 9212 remove 151 ref subst 9206 remove "_11944" 19 ref var 9213 def 23 ref 9198 ref 9213 remove varTerm 9214 def appTerm appTerm 288 ref 11 ref 8310 ref 653 ref 9214 remove appTerm appTerm absTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 9207 remove 23 ref 9198 ref 91 ref appTerm appTerm 288 ref 11 ref 8310 remove 653 ref 91 ref appTerm appTerm absTerm appTerm appTerm refl appThm trans 9208 remove 9210 remove assume appThm eqMp sym 33 ref 8330 remove 1362 ref subst 9215 def appThm 292 ref 11 ref 8315 remove 3444 remove appThm absThm appThm appThm 8348 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 9211 remove cons 9216 def 9209 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 9182 ref appTerm 9217 def betaConv 255 ref nil 256 ref 68 ref 9217 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 9182 ref nil cons 9218 def cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 9216 remove 114 ref 9197 remove cons 261 ref 9199 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 8349 ref 114 ref 9170 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 ref 9162 remove appTerm thm nil 1453 ref 1403 ref 23 ref 288 ref 4 ref 288 ref 11 ref 69 ref 1434 ref 4446 ref appTerm 9219 def appTerm 31 ref appTerm absTerm appTerm absTerm appTerm appTerm 7503 ref appTerm 9220 def absTerm 9221 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 9220 ref nil cons 9222 def cons nil cons nil cons cons 9223 def 106 ref subst 494 ref 23 ref 288 ref 4 ref 288 ref 11 ref 69 ref 4304 remove 4311 remove 9219 ref appTerm appTerm appTerm 31 ref appTerm absTerm appTerm absTerm appTerm appTerm 54 ref 41 ref 54 ref 296 ref 69 ref 5746 ref 75 ref 1163 ref 498 ref appTerm 9224 def appTerm 7499 ref appTerm 9225 def appTerm 9226 def appTerm 298 ref appTerm 9227 def absTerm 9228 def appTerm 9229 def absTerm 9230 def appTerm 9231 def appTerm 9232 def absTerm 9233 def 6 ref appTerm 9234 def betaConv nil 317 ref 9233 ref nil cons cons 9235 def nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 9232 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 292 ref 4 ref 292 ref 11 ref 329 ref 4971 remove 544 ref 4344 ref appThm 4449 ref 1551 ref subst 758 ref 872 ref 2410 ref 4450 ref appThm absThm appThm trans appThm appThm appThm 381 ref appThm absThm appThm absThm appThm appThm 9231 ref refl appThm sym nil 67 ref 288 ref 4 ref 288 ref 11 ref 69 ref 4977 remove 75 ref 4348 ref appTerm 9236 def 757 ref 872 ref 5765 remove 4454 ref appTerm absTerm 9237 def appTerm 9238 def appTerm 9239 def appTerm 9240 def appTerm 284 remove appTerm 9241 def absTerm 9242 def appTerm 9243 def absTerm 9244 def appTerm 9245 def nil cons 9246 def cons 9247 def 68 ref 9231 ref nil cons 9248 def cons nil cons cons nil cons cons 9249 def 348 ref subst 9249 ref 86 ref subst 9249 remove 151 ref subst nil 144 ref 9230 ref nil cons cons 9250 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9229 remove nil cons 9251 def cons nil cons nil cons cons 106 ref subst nil 144 ref 9228 ref nil cons cons 9252 def nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 9227 remove nil cons cons nil cons nil cons cons 106 ref subst 9253 def nil 67 ref 9226 remove nil cons 9254 def cons 7645 ref cons nil cons cons 9255 def 86 ref subst 9255 remove 151 ref subst nil 5063 ref 114 ref 9225 remove nil cons cons nil cons cons nil cons cons 9256 def 127 ref subst 9256 remove 347 ref subst nil 112 ref 9224 ref nil cons 9257 def cons 7653 ref cons nil cons cons 9258 def 127 ref subst 9258 remove 347 ref subst 11 ref 69 ref 75 ref 54 ref 1134 ref 6009 remove 6985 ref appTerm absTerm appTerm appTerm 9259 def 9236 remove 757 ref 872 ref 23 ref 39 ref 1134 ref 2460 ref 6008 ref appTerm absTerm appTerm appTerm 9260 def 4454 ref appTerm absTerm appTerm appTerm appTerm appTerm 54 ref 1134 ref 23 ref 6008 remove appTerm 9261 def 1261 ref appTerm absTerm appTerm appTerm absTerm 9262 def 2204 ref appTerm 9263 def betaConv 9244 ref 1123 ref appTerm 9264 def betaConv nil 9247 remove 68 ref 9264 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 9244 remove nil cons cons 9265 def 8961 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 288 ref 9262 ref appTerm nil cons cons 68 ref 9263 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 9262 remove nil cons cons 356 ref 3995 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 9259 remove 75 ref 54 ref 41 ref 69 ref 2205 ref appTerm 501 ref appTerm absTerm appTerm appTerm 757 ref 872 ref 9260 remove 39 ref 41 ref 2413 ref 2205 remove appTerm absTerm appTerm appTerm absTerm appTerm appTerm appTerm appTerm 54 ref 1134 ref 9261 remove 1153 ref 2204 remove appTerm appTerm absTerm appTerm appTerm nil cons cons 7645 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 544 ref 55 ref 1134 ref 2259 remove 6985 ref refl appThm absThm appThm appThm 544 ref 55 ref 41 ref 329 ref 1187 ref appThm 4057 ref appThm absThm appThm appThm 758 ref 872 ref 33 ref 40 ref 1134 ref 2460 ref refl 1188 ref appThm absThm appThm appThm 40 ref 41 ref 2906 ref 1187 ref appThm absThm appThm appThm absThm appThm appThm appThm appThm 55 ref 1134 ref 33 ref 1188 ref appThm 1269 ref 1187 ref subst appThm absThm appThm appThm appThm 2202 ref appThm sym nil 144 ref 1134 ref 2260 remove 6985 ref appTerm 9266 def absTerm 9267 def nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 9266 remove nil cons cons nil cons nil cons cons 106 ref subst nil 2226 remove 68 ref 6988 remove cons nil cons 9268 def cons nil cons cons 9269 def 86 ref subst 9269 remove 151 ref subst 5007 remove 8988 ref appThm 5058 ref trans sym 105 ref eqMp eqMp nil 2231 remove 6989 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 9267 remove appTerm 9270 def nil cons cons 68 ref 75 ref 54 ref 41 ref 3550 ref 501 ref appTerm absTerm appTerm 9271 def appTerm 757 ref 872 ref 23 ref 39 ref 1134 ref 2460 ref 1200 ref appTerm absTerm appTerm appTerm 39 ref 41 ref 2413 ref 298 ref appTerm absTerm appTerm appTerm absTerm appTerm 9272 def appTerm 9273 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 144 ref 1134 ref 69 ref 3583 ref appTerm 6985 ref appTerm 9274 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 9274 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 3616 ref cons 9268 remove cons nil cons cons 9275 def 86 ref subst 9275 remove 151 ref subst 3772 ref 3583 ref assume appThm 8988 ref appThm nil 99 ref 9257 ref cons nil cons nil cons cons 106 ref subst 9224 ref assume eqMp 9276 def trans sym 105 ref eqMp eqMp nil 112 ref 3616 remove cons 6989 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 9271 remove nil cons cons 68 ref 9272 remove nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 871 ref 2785 ref 23 ref 39 ref 1134 ref 75 ref 2787 ref 2439 ref appTerm 9277 def appTerm 1200 ref appTerm absTerm appTerm appTerm 39 ref 41 ref 75 ref 2793 ref appTerm 9278 def 298 ref appTerm absTerm appTerm appTerm 9279 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 2785 ref nil 99 ref 9279 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 40 ref 1134 ref nil 2249 remove 661 ref 9277 ref nil cons cons nil cons cons nil cons cons 678 ref subst absThm appThm appThm 40 ref 41 ref nil 659 ref 1180 ref cons 661 ref 2848 remove cons nil cons cons nil cons cons 678 ref subst absThm appThm appThm sym 33 ref 33 ref 40 ref 1134 ref 7495 remove 1134 ref 9277 remove absTerm 9280 def 1137 ref appTerm betaConv appThm absThm appThm appThm 9280 ref 45 ref appTerm betaConv 9281 def appThm nil 56 ref 9280 remove nil cons cons 1479 ref cons nil cons cons 2972 ref subst eqMp appThm 33 ref 40 ref 41 ref 75 ref 298 ref appTerm 9282 def refl 9281 remove appThm absThm appThm appThm 41 ref 2793 remove absTerm 9283 def 297 ref appTerm betaConv appThm nil 56 ref 9283 remove nil cons cons 452 ref 312 ref cons nil cons cons nil cons cons 2972 remove subst eqMp appThm sym 2787 ref refl 7675 ref appThm eqMp eqMp eqMp absThm eqMp eqMp eqMp nil 67 ref 75 ref 9270 remove appTerm 9273 remove appTerm 9284 def nil cons 9285 def cons 68 ref 69 ref 54 ref 1134 ref 3405 remove 3583 remove appTerm absTerm 9286 def appTerm 9287 def appTerm 298 ref appTerm 9288 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 9287 ref nil cons 9289 def cons 9290 def 7645 ref cons nil cons cons 9291 def 86 ref subst 9291 remove 151 ref subst 9286 ref 45 ref appTerm 9292 def betaConv nil 9290 remove 68 ref 9292 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 9286 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 222 ref appTerm 298 ref appTerm nil cons cons 7645 ref cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 224 ref appThm 2202 ref appThm 1181 ref 242 ref subst trans appThm 2202 ref appThm 1181 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp nil 112 ref 9289 ref cons 7686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 75 ref 9284 ref appTerm 9288 remove appTerm nil cons cons 68 ref 69 ref 69 ref 9284 remove appTerm 9287 remove appTerm appTerm 298 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil "z" 19 ref var 9293 def 1180 remove cons 163 ref 9289 remove cons 166 ref 9285 remove cons nil cons cons cons nil cons cons nil 174 ref 68 ref 69 ref 7434 ref 69 ref 175 ref appTerm 9294 def 9293 ref varTerm 9295 def appTerm 9296 def appTerm appTerm 7433 remove 9295 ref appTerm appTerm nil cons 9297 def cons nil cons 9298 def cons nil cons cons 9299 def 86 ref subst 9299 remove 151 ref subst 23 ref "_12516" 19 ref var 9300 def 69 ref 75 ref 9300 remove varTerm 9301 def appTerm 9296 ref appTerm appTerm 69 ref 69 ref 9301 remove appTerm 175 ref appTerm appTerm 9295 ref appTerm appTerm absTerm 9302 def 169 ref appTerm 9303 def appTerm refl 9304 def 9302 ref 171 ref appTerm betaConv appThm 33 ref 9303 remove betaConv appThm 9305 def 69 ref 545 ref 9296 ref appTerm appTerm 7444 remove 9295 ref appTerm appTerm refl appThm trans 9302 remove refl 9306 def 192 ref appThm eqMp sym 329 ref nil 99 ref 9296 ref nil cons cons nil cons nil cons cons 9307 def 549 ref subst appThm 7446 remove 9295 ref refl 9308 def appThm nil 99 ref 9295 ref nil cons 9309 def cons nil cons nil cons cons 9310 def 2033 ref subst 9311 def trans appThm 9310 ref 524 ref subst 9312 def trans sym 105 ref eqMp eqMp eqMp nil 227 ref 114 ref 9297 ref cons nil cons 9313 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 231 ref 9298 remove cons nil cons cons 9314 def 86 ref subst 9314 remove 151 ref subst 9304 remove "_12514" 19 ref var 9315 def 69 ref 75 ref 9315 remove varTerm 9316 def appTerm 9296 ref appTerm appTerm 69 ref 69 ref 9316 remove appTerm 175 ref appTerm appTerm 9295 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 9305 remove 69 ref 558 ref 9296 remove appTerm appTerm 7451 remove 9295 ref appTerm appTerm refl appThm trans 9306 remove 238 ref appThm eqMp sym 329 ref 9307 ref 562 ref subst appThm 7452 remove 9308 ref appThm appThm 9307 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp nil 250 ref 9313 remove cons nil cons cons 127 ref subst deductAntisym eqMp 259 ref nil 250 ref 260 ref 261 ref 9297 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp 9317 def subst eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 9254 remove cons 7686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 9246 ref cons 114 ref 9248 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 9245 ref appTerm 9231 ref appTerm nil cons cons 68 ref 69 ref 9231 ref appTerm 9245 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 9248 ref cons 9318 def 68 ref 9246 ref cons nil cons cons nil cons cons 9319 def 86 ref subst 9319 remove 151 ref subst nil 9265 remove nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 9243 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9242 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 9241 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9240 remove nil cons 9320 def cons 364 remove cons nil cons cons 9321 def 86 ref subst 9321 remove 151 ref subst nil 4991 remove 114 ref 9239 remove nil cons cons nil cons cons nil cons cons 9322 def 127 ref subst 9322 remove 347 ref subst nil 112 ref 4362 ref cons 9323 def 114 ref 9238 remove nil cons 9324 def cons nil cons cons nil cons cons 9325 def 127 ref subst 9325 remove 347 ref subst 1012 remove 41 ref 1014 remove 9237 ref 1412 ref appTerm 9326 def betaConv nil 67 ref 9324 remove cons 68 ref 9326 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 9237 remove nil cons cons 2448 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 3520 ref appTerm 3187 ref appTerm 9327 def nil cons cons 68 ref 1013 remove cons nil cons cons nil cons cons 136 ref subst proveHyp nil 1015 ref 68 ref 5636 ref 69 ref 3187 ref appTerm 47 ref appTerm 9328 def appTerm 9329 def nil cons 9330 def cons nil cons cons nil cons cons 9331 def 86 ref subst 9331 remove 151 ref subst 3529 ref nil 5637 ref 68 ref 9328 remove nil cons cons nil cons 9332 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 5897 ref 69 ref 3186 ref 5898 ref appTerm 9333 def appTerm 47 ref appTerm 9334 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 5897 ref nil 99 ref 9334 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9333 ref nil cons 9335 def cons 1017 ref cons nil cons cons 9336 def 86 ref subst 9336 remove 151 ref subst 9333 ref betaConv 9333 remove assume eqMp nil 67 ref 75 ref 2438 ref 5904 ref appTerm 9337 def appTerm 9338 def 5906 ref 30 ref appTerm 9339 def appTerm nil cons 9340 def cons 1017 ref cons nil cons cons 9341 def 136 ref subst proveHyp 9341 ref 86 ref subst 9341 remove 151 ref subst nil 112 ref 9337 ref nil cons cons 9342 def 114 ref 9339 ref nil cons 9343 def cons nil cons cons nil cons cons 9344 def 127 ref subst 9344 remove 347 ref subst 5834 ref 5908 ref refl 2834 ref 9337 ref assume appThm 5904 ref refl appThm nil 872 ref 5904 ref nil cons cons nil cons nil cons cons 940 ref subst 9345 def trans appThm 5941 remove 1362 ref subst trans appThm sym 9346 def 5097 remove nil 5064 remove 68 ref 5914 remove cons nil cons 9347 def cons nil cons cons 151 ref subst 9348 def proveHyp nil 67 ref 9343 ref cons 9347 ref cons nil cons cons 136 ref subst nil 5943 ref nil cons cons 9349 def 4376 ref subst eqMp eqMp eqMp nil 67 ref 5746 ref 5908 remove 9337 remove appTerm appTerm nil cons cons 68 ref 221 ref 5898 ref appTerm 9350 def nil cons 9351 def cons nil cons 9352 def cons nil cons cons 136 ref subst 9353 def proveHyp nil 296 ref 5942 remove cons nil cons 9354 def nil cons cons 9228 remove 297 ref appTerm 9355 def betaConv 9230 remove 45 ref appTerm 9356 def betaConv nil 9318 remove 68 ref 9356 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 9250 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9251 remove cons 68 ref 9355 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 9252 remove 314 ref cons nil cons cons 161 ref subst eqMp eqMp 9357 def subst 9358 def eqMp 3772 ref 9350 ref assume appThm 9359 def 1036 ref appThm nil 99 ref 9343 remove cons nil cons nil cons cons 106 ref subst 9339 remove assume eqMp trans sym 105 ref eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 9340 remove cons 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 9335 remove cons 1727 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 1134 ref 69 ref 3186 remove 1137 ref appTerm appTerm 47 ref appTerm absTerm appTerm nil cons cons 9332 remove cons nil cons cons 136 ref subst proveHyp 309 ref 3194 remove 1727 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 1731 ref 114 ref 9330 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 690 ref 9329 remove appTerm 9360 def nil cons cons 68 ref 997 ref 75 ref 3187 ref appTerm 69 ref 3520 ref appTerm 49 ref appTerm 9361 def appTerm 9362 def appTerm 9363 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 1819 ref 68 ref 9362 remove nil cons 9364 def cons nil cons cons nil cons cons 9365 def 86 ref subst 9365 remove 151 ref subst 5638 remove nil 67 ref 3189 ref cons 68 ref 9361 remove nil cons cons nil cons 9366 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 5897 ref 69 ref 3519 ref 5898 ref appTerm 9367 def appTerm 49 ref appTerm 9368 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 5897 ref nil 99 ref 9368 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9367 ref nil cons 9369 def cons 1706 ref cons nil cons cons 9370 def 86 ref subst 9370 remove 151 ref subst 9367 ref betaConv 9367 remove assume eqMp nil 67 ref 9338 remove 5968 ref appTerm nil cons 9371 def cons 1706 ref cons nil cons cons 9372 def 136 ref subst proveHyp 9372 ref 86 ref subst 9372 remove 151 ref subst nil 9342 remove 6003 ref cons nil cons cons 9373 def 127 ref subst 9373 remove 347 ref subst 9346 remove 4372 remove 4376 remove eqMp 9374 def 9348 remove proveHyp nil 5973 remove 9347 remove cons nil cons cons 136 ref subst 9349 remove 4994 remove subst eqMp eqMp eqMp 9353 remove proveHyp 9358 remove eqMp 9359 remove 1394 ref appThm nil 99 ref 5972 remove cons nil cons nil cons cons 106 ref subst 5968 ref assume eqMp trans sym 105 ref eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 9371 remove cons 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 9369 remove cons 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 1134 ref 69 ref 3519 remove 1137 ref appTerm appTerm 49 ref appTerm absTerm appTerm nil cons cons 9366 remove cons nil cons cons 136 ref subst proveHyp 309 ref 3528 remove 1878 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 1935 ref 114 ref 9364 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 75 ref 9360 remove appTerm 9363 remove appTerm nil cons cons 68 ref 69 ref 9327 remove appTerm 282 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 9293 ref 167 remove cons 165 remove 166 ref 3189 remove cons "w" 19 ref var 9375 def 3526 remove cons nil cons cons cons cons nil cons cons nil 67 ref 190 ref nil cons 9376 def cons 68 ref 69 ref 75 ref 9294 remove 75 ref 9375 remove varTerm 9377 def appTerm 7432 remove 9295 ref appTerm 9378 def appTerm 9379 def appTerm appTerm 69 ref 9295 ref appTerm 9380 def 7434 ref 69 ref 9377 ref appTerm 9381 def 175 ref appTerm appTerm appTerm appTerm appTerm 69 ref 23 ref 9377 ref appTerm 9382 def 169 ref appTerm 9383 def appTerm 9384 def 178 remove 9295 ref appTerm appTerm appTerm nil cons 9385 def cons nil cons 9386 def cons nil cons cons 9387 def 86 ref subst 9387 remove 151 ref subst 23 ref "_12582" 19 ref var 9388 def 69 ref 75 ref 69 ref 9388 remove varTerm 9389 def appTerm 9379 ref appTerm appTerm 9380 ref 7434 ref 9381 ref 9389 ref appTerm appTerm appTerm appTerm appTerm 9384 ref 23 ref 9389 remove appTerm 9295 ref appTerm appTerm appTerm absTerm 9390 def 175 ref appTerm 9391 def appTerm refl 9392 def 9390 ref 171 ref appTerm betaConv appThm 33 ref 9391 remove betaConv appThm 9393 def 69 ref 75 ref 520 ref 9379 ref appTerm appTerm 9380 ref 7434 ref 9381 ref 171 ref appTerm appTerm appTerm appTerm appTerm 9384 ref 188 ref 9295 ref appTerm appTerm appTerm refl appThm trans 9390 remove refl 9394 def 190 remove assume appThm eqMp sym 329 ref 544 ref nil 99 ref 9379 ref nil cons cons nil cons nil cons cons 9395 def 524 ref subst appThm 9380 ref refl 9396 def 7434 ref refl 9397 def nil 99 ref 9377 ref nil cons 9398 def cons nil cons nil cons cons 9399 def 1077 ref subst appThm appThm appThm nil 99 ref 9380 ref 7434 ref 34 ref 9377 ref appTerm 9400 def appTerm 9401 def appTerm 9402 def nil cons cons nil cons nil cons cons 562 ref subst trans appThm 9384 ref refl 9403 def 9310 ref 204 ref subst appThm appThm sym nil 67 ref 23 ref 9295 ref appTerm 9404 def 171 ref appTerm 9405 def nil cons 9406 def cons 68 ref 69 ref 9402 remove appTerm 9384 ref 34 ref 9295 ref appTerm 9407 def appTerm appTerm nil cons 9408 def cons nil cons 9409 def cons nil cons cons 9410 def 86 ref subst 9410 remove 151 ref subst 23 ref "_12594" 19 ref var 9411 def 69 ref 69 ref 9411 remove varTerm 9412 def appTerm 9401 ref appTerm appTerm 9384 ref 34 ref 9412 remove appTerm appTerm appTerm absTerm 9413 def 9295 ref appTerm 9414 def appTerm refl 9415 def 9413 ref 171 ref appTerm betaConv appThm 33 ref 9414 remove betaConv appThm 9416 def 69 ref 520 ref 9401 ref appTerm appTerm 9384 ref 397 remove appTerm appTerm refl appThm trans 9413 remove refl 9417 def 9405 remove assume appThm eqMp sym 329 ref nil 99 ref 9401 ref nil cons cons nil cons nil cons cons 9418 def 524 ref subst appThm 9403 ref 400 ref appThm nil 99 ref 9383 ref nil cons cons nil cons nil cons cons 9419 def 709 ref subst trans appThm 3961 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 9406 ref cons 114 ref 9408 ref cons nil cons 9420 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 9404 remove 91 ref appTerm 9421 def nil cons 9422 def cons 9409 remove cons nil cons cons 9423 def 86 ref subst 9423 remove 151 ref subst 9415 remove "_12592" 19 ref var 9424 def 69 ref 69 ref 9424 remove varTerm 9425 def appTerm 9401 ref appTerm appTerm 9384 ref 34 ref 9425 remove appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 9416 remove 69 ref 2029 ref 9401 ref appTerm appTerm 9384 ref 415 remove appTerm appTerm refl appThm trans 9417 remove 9421 remove assume appThm eqMp sym 329 ref 9418 remove 2033 ref subst appThm 9403 ref 417 ref appThm 9419 remove 1077 ref subst trans appThm sym nil 174 ref 68 ref 69 ref 9401 remove appTerm 34 ref 9383 remove appTerm appTerm nil cons 9426 def cons nil cons 9427 def cons nil cons cons 9428 def 86 ref subst 9428 remove 151 ref subst 23 ref "_12598" 19 ref var 9429 def 69 ref 75 ref 9429 remove varTerm 9430 def appTerm 9400 ref appTerm appTerm 34 ref 9382 ref 9430 remove appTerm appTerm appTerm absTerm 9431 def 169 ref appTerm 9432 def appTerm refl 9433 def 9431 ref 171 ref appTerm betaConv appThm 33 ref 9432 remove betaConv appThm 9434 def 69 ref 545 ref 9400 ref appTerm appTerm 34 ref 9382 ref 171 ref appTerm 9435 def appTerm appTerm refl appThm trans 9431 remove refl 9436 def 192 ref appThm eqMp sym 329 ref nil 99 ref 9400 ref nil cons cons nil cons nil cons cons 9437 def 549 ref subst appThm 35 ref 9399 ref 217 ref subst appThm 9399 ref 210 ref subst trans appThm 9399 ref 524 ref subst trans sym 105 ref eqMp eqMp eqMp nil 227 ref 114 ref 9426 ref cons nil cons 9438 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 231 ref 9427 remove cons nil cons cons 9439 def 86 ref subst 9439 remove 151 ref subst 9433 remove "_12596" 19 ref var 9440 def 69 ref 75 ref 9440 remove varTerm 9441 def appTerm 9400 ref appTerm appTerm 34 ref 9382 ref 9441 remove appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 9434 remove 69 ref 558 ref 9400 remove appTerm appTerm 34 ref 9382 remove 91 ref appTerm 9442 def appTerm appTerm refl appThm trans 9436 remove 238 ref appThm eqMp sym 329 ref 9437 ref 562 ref subst appThm 35 ref 9399 ref 247 ref subst appThm appThm 9437 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp nil 250 ref 9438 remove cons nil cons cons 127 ref subst deductAntisym eqMp 259 ref nil 250 ref 260 ref 261 ref 9426 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 112 ref 9422 remove cons 9443 def 9420 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 9295 ref appTerm 9444 def betaConv 255 ref nil 256 ref 68 ref 9444 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 9309 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 9443 remove 114 ref 9406 remove cons 261 ref 9408 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 112 ref 9376 ref cons 114 ref 9385 ref cons nil cons 9445 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 237 ref nil cons 9446 def cons 9386 remove cons nil cons cons 9447 def 86 ref subst 9447 remove 151 ref subst 9392 remove "_12580" 19 ref var 9448 def 69 ref 75 ref 69 ref 9448 remove varTerm 9449 def appTerm 9379 ref appTerm appTerm 9380 ref 7434 ref 9381 ref 9449 ref appTerm appTerm appTerm appTerm appTerm 9384 ref 23 ref 9449 remove appTerm 9295 ref appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 9393 remove 69 ref 75 ref 2029 ref 9379 ref appTerm appTerm 9380 ref 7434 remove 9381 remove 91 ref appTerm appTerm appTerm appTerm appTerm 9384 ref 235 ref 9295 ref appTerm appTerm appTerm refl appThm trans 9394 remove 237 remove assume appThm eqMp sym 329 ref 544 ref 9395 remove 2033 ref subst appThm 9396 remove 9397 remove 9399 remove 709 ref subst appThm 1644 ref 1362 ref subst trans appThm appThm appThm 9403 remove 9310 ref 242 ref subst appThm appThm sym nil 67 ref 9435 ref nil cons 9450 def cons 68 ref 69 ref 75 ref 9379 remove appTerm 9380 ref 169 ref appTerm 9451 def appTerm appTerm 9384 remove 9295 ref appTerm appTerm nil cons 9452 def cons nil cons 9453 def cons nil cons cons 9454 def 86 ref subst 9454 remove 151 ref subst 23 ref "_12586" 19 ref var 9455 def 69 ref 75 ref 75 ref 9455 remove varTerm 9456 def appTerm 9378 ref appTerm appTerm 9451 ref appTerm appTerm 69 ref 23 ref 9456 remove appTerm 169 ref appTerm appTerm 9295 ref appTerm appTerm absTerm 9457 def 9377 ref appTerm 9458 def appTerm refl 9459 def 9457 ref 171 ref appTerm betaConv appThm 33 ref 9458 remove betaConv appThm 9460 def 69 ref 75 ref 545 ref 9378 ref appTerm appTerm 9451 ref appTerm appTerm 69 ref 188 ref 169 ref appTerm appTerm 9295 ref appTerm appTerm refl appThm trans 9457 remove refl 9461 def 9435 remove assume appThm eqMp sym 329 ref 544 ref nil 99 ref 9378 ref nil cons cons nil cons nil cons cons 9462 def 549 ref subst appThm 9451 ref refl 9463 def appThm nil 99 ref 9451 ref nil cons cons nil cons nil cons cons 549 ref subst trans appThm 329 ref 1644 ref 204 ref subst appThm 9308 ref appThm appThm nil 99 ref 4087 remove 9295 ref appTerm nil cons cons nil cons nil cons cons 524 ref subst trans sym 105 ref eqMp eqMp eqMp nil 112 ref 9450 ref cons 114 ref 9452 ref cons nil cons 9464 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 9442 ref nil cons 9465 def cons 9453 remove cons nil cons cons 9466 def 86 ref subst 9466 remove 151 ref subst 9459 remove "_12584" 19 ref var 9467 def 69 ref 75 ref 75 ref 9467 remove varTerm 9468 def appTerm 9378 ref appTerm appTerm 9451 ref appTerm appTerm 69 ref 23 ref 9468 remove appTerm 169 ref appTerm appTerm 9295 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 9460 remove 69 ref 75 ref 558 ref 9378 ref appTerm appTerm 9451 ref appTerm appTerm 69 ref 235 ref 169 ref appTerm appTerm 9295 ref appTerm appTerm refl appThm trans 9461 remove 9442 remove assume appThm eqMp sym 329 ref 544 ref 9462 remove 562 ref subst appThm 9463 remove appThm appThm 329 ref 1644 remove 242 ref subst appThm 9308 remove appThm appThm sym nil 174 remove 68 ref 69 ref 75 ref 9378 ref appTerm 9451 remove appTerm appTerm 9378 remove appTerm nil cons 9469 def cons nil cons 9470 def cons nil cons cons 9471 def 86 ref subst 9471 remove 151 ref subst 23 ref "_12590" 19 ref var 9472 def 69 ref 75 ref 69 ref 9472 remove varTerm 9473 def appTerm 9295 ref appTerm 9474 def appTerm 9380 ref 9473 remove appTerm appTerm appTerm 9474 remove appTerm absTerm 9475 def 169 remove appTerm 9476 def appTerm refl 9477 def 9475 ref 171 ref appTerm betaConv appThm 33 ref 9476 remove betaConv appThm 9478 def 69 ref 75 ref 520 ref 9295 ref appTerm 9479 def appTerm 9380 ref 171 ref appTerm appTerm appTerm 9479 remove appTerm refl appThm trans 9475 remove refl 9480 def 192 remove appThm eqMp sym 329 ref 544 ref 9312 ref appThm 9310 ref 1077 ref subst appThm nil 99 ref 9407 remove nil cons cons nil cons nil cons cons 9481 def 562 ref subst trans appThm 9312 remove appThm 9481 remove 709 ref subst trans sym 105 ref eqMp eqMp eqMp nil 227 remove 114 ref 9469 ref cons nil cons 9482 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 231 remove 9470 remove cons nil cons cons 9483 def 86 ref subst 9483 remove 151 ref subst 9477 remove "_12588" 19 ref var 9484 def 69 ref 75 ref 69 ref 9484 remove varTerm 9485 def appTerm 9295 ref appTerm 9486 def appTerm 9380 ref 9485 remove appTerm appTerm appTerm 9486 remove appTerm absTerm 91 ref appTerm betaConv appThm 9478 remove 69 ref 75 ref 2029 ref 9295 remove appTerm 9487 def appTerm 9380 remove 91 ref appTerm appTerm appTerm 9487 remove appTerm refl appThm trans 9480 remove 238 remove appThm eqMp sym 329 ref 544 ref 9311 ref appThm 9310 ref 709 ref subst appThm 9310 ref 1362 ref subst trans appThm 9311 remove appThm 9310 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp nil 250 ref 9482 remove cons nil cons cons 127 ref subst deductAntisym eqMp 259 remove nil 250 remove 260 remove 261 ref 9469 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 112 ref 9465 remove cons 9488 def 9464 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 9377 remove appTerm 9489 def betaConv 255 ref nil 256 ref 68 ref 9489 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 166 ref 9398 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 9488 remove 114 ref 9450 remove cons 261 ref 9452 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp nil 112 ref 9446 remove cons 9490 def 9445 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 175 remove appTerm 9491 def betaConv 255 ref nil 256 ref 68 ref 9491 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 248 remove cons nil cons cons 161 ref subst eqMp eqMp nil 9490 remove 114 ref 9376 remove cons 261 ref 9385 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp subst eqMp eqMp eqMp absThm eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 9320 remove cons 379 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 9248 remove cons 9492 def 114 ref 9246 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp 9493 def nil 67 ref 288 ref 9233 remove appTerm 9494 def nil cons 9495 def cons 68 ref 9234 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 9235 remove 567 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 288 ref 4 ref 288 ref 11 ref 69 ref 5740 remove 75 ref 958 remove 6 ref appTerm appTerm 9219 ref appTerm appTerm appTerm 31 ref appTerm absTerm appTerm absTerm appTerm appTerm 7694 ref appTerm nil cons cons 68 ref 9222 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 292 ref 4 ref 292 ref 11 ref 329 ref 2188 remove 544 ref 1037 ref 711 ref subst 9496 def appThm 9219 ref refl appThm nil 99 ref 9219 ref nil cons cons nil cons nil cons cons 562 ref subst 9497 def trans appThm 9497 remove trans appThm 31 remove refl appThm absThm appThm absThm appThm appThm 7699 ref appThm appThm 9220 remove refl appThm 9223 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp absThm eqMp nil 1422 ref 9221 remove appTerm thm nil 317 ref 4 ref 812 ref 783 ref 288 ref 6511 ref 812 ref 6512 ref 23 ref 6519 remove appTerm 1514 remove 6541 remove 6517 remove appTerm appTerm appTerm 9498 def absTerm 9499 def appTerm 9500 def absTerm 9501 def appTerm 9502 def absTerm 9503 def appTerm 9504 def absTerm 9505 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 9504 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 9503 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 9502 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9501 remove nil cons cons nil cons nil cons cons 327 ref subst 6511 ref nil 99 ref 9500 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 9499 remove nil cons cons nil cons nil cons cons 3128 ref subst 6512 ref nil 99 ref 9498 remove nil cons cons nil cons nil cons cons 106 ref subst 6667 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 9505 remove appTerm thm 442 ref 56 ref 1429 ref 1403 ref 6734 ref 1565 ref 33 ref 758 ref 3672 ref 329 ref 6737 remove appThm 6738 remove appThm absThm appThm appThm 54 ref 41 ref 570 ref 6721 remove appTerm 9506 def absTerm 9507 def appTerm 9508 def refl appThm absThm appThm absThm appThm absThm appThm sym nil 140 ref 56 ref 1422 ref 1403 ref 6727 ref 1565 ref 23 ref 757 ref 3672 ref 6798 remove 6720 ref appTerm 9509 def absTerm 9510 def appTerm 9511 def appTerm 9508 ref appTerm 9512 def absTerm 9513 def appTerm 9514 def absTerm 9515 def appTerm 9516 def absTerm nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 9516 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 9515 remove nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 9514 remove nil cons cons nil cons nil cons cons 106 ref subst nil 6753 ref 9513 remove nil cons cons nil cons nil cons cons 6755 ref subst 1565 ref nil 99 ref 9512 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9511 ref nil cons 9517 def cons 9518 def 68 ref 9508 ref nil cons 9519 def cons nil cons cons nil cons cons 9520 def 348 ref subst 9520 ref 86 ref subst 9520 remove 151 ref subst nil 144 ref 9507 ref nil cons cons 9521 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9506 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6046 ref cons 9522 def 68 ref 6811 remove cons nil cons 9523 def cons nil cons cons 9524 def 86 ref subst 9524 ref 151 ref subst 6817 remove nil 67 ref 6816 remove cons 9523 remove cons nil cons cons 136 ref subst proveHyp nil 3672 ref 2447 remove cons nil cons nil cons cons 9510 ref 3673 ref appTerm 9525 def betaConv nil 9518 remove 68 ref 9525 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 9510 remove nil cons cons 9526 def 6736 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp 6813 remove deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 9517 ref cons 114 ref 9519 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 9511 ref appTerm 9508 ref appTerm nil cons cons 68 ref 69 ref 9508 ref appTerm 9511 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 9519 ref cons 9527 def 68 ref 9517 ref cons nil cons cons nil cons cons 9528 def 86 ref subst 9528 remove 151 ref subst nil 9526 remove nil cons nil cons cons 898 ref subst 3672 ref nil 99 ref 9509 remove nil cons 9529 def cons nil cons nil cons cons 106 ref subst nil 144 ref 41 ref 6770 remove 6720 ref appTerm 9530 def absTerm 9531 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9530 remove nil cons cons nil cons nil cons cons 106 ref subst nil 6774 remove 68 ref 6766 remove cons nil cons 9532 def cons nil cons cons 9533 def 86 ref subst 9533 remove 151 ref subst 6776 remove nil 6778 remove 9532 remove cons nil cons cons 9534 def 136 ref subst proveHyp 9534 ref 86 ref subst 9534 remove 151 ref subst 6782 remove 6783 remove 6793 remove 9524 remove 136 ref subst 9507 remove 45 ref appTerm 9535 def betaConv nil 9527 remove 68 ref 9535 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 9521 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 6795 remove 6767 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 6797 remove 6767 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 9531 remove appTerm nil cons cons 68 ref 9529 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 6799 remove 6767 remove cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp eqMp nil 112 ref 9519 remove cons 114 ref 9517 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 9536 def nil 65 ref 56 ref 1422 ref 1403 ref 6727 ref 1565 remove 23 ref 757 ref 3672 ref 69 ref 6718 remove appTerm 6720 remove appTerm absTerm appTerm appTerm 9508 remove appTerm absTerm 9537 def appTerm 9538 def absTerm 9539 def appTerm 9540 def absTerm 9541 def appTerm 9542 def thm 6819 remove nil 6820 remove thm nil 7257 ref 2930 ref 288 ref 11 ref 288 ref 494 ref 23 ref 8845 remove appTerm 8863 remove appTerm 9543 def absTerm 9544 def appTerm 9545 def absTerm 9546 def appTerm 9547 def absTerm 9548 def nil cons cons nil cons nil cons cons 7273 ref subst 2930 ref nil 99 ref 9547 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9546 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 9545 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9544 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 9543 remove nil cons cons nil cons nil cons cons 106 ref subst 8931 ref eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 7300 ref 9548 remove appTerm thm nil 7257 ref 2930 ref 288 ref 11 ref 288 ref 494 ref 23 ref 534 ref 4 ref 75 ref 4253 ref appTerm 7266 remove appTerm absTerm appTerm appTerm 534 ref 3230 ref 534 ref 8848 ref 8851 ref 75 ref 8854 remove appTerm 8858 ref appTerm 9549 def appTerm absTerm appTerm absTerm appTerm appTerm 9550 def absTerm 9551 def appTerm 9552 def absTerm 9553 def appTerm 9554 def absTerm 9555 def nil cons cons nil cons nil cons cons 7273 remove subst 2930 ref nil 99 ref 9554 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9553 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 9552 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9551 remove nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 9550 remove nil cons cons nil cons nil cons cons 106 ref subst 7300 ref refl 9556 def 2930 ref 9556 remove 3209 ref 23 ref 534 ref 356 ref 75 ref 7258 ref 1822 ref appTerm 9557 def appTerm 9558 def 3209 ref varTerm 9559 def 1822 ref appTerm 9560 def appTerm absTerm appTerm 9561 def appTerm 9562 def refl 33 ref 35 ref 292 ref 356 ref 356 ref 69 ref 9557 ref appTerm 34 ref 9560 ref appTerm 9563 def appTerm absTerm 9564 def 1822 ref appTerm betaConv 9565 def absThm appThm appThm appThm 543 ref 356 ref 35 ref 9565 remove appThm absThm appThm appThm nil 2930 ref 9564 ref nil cons cons nil cons nil cons cons 6271 ref subst eqMp 543 ref 356 ref nil 659 ref 9563 remove nil cons cons 661 ref 9557 remove nil cons cons nil cons cons nil cons cons 6178 ref subst 9558 remove refl nil 99 ref 9560 remove nil cons cons nil cons nil cons cons 210 ref subst appThm trans absThm appThm trans appThm nil 166 ref 9561 remove nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 371 ref 7272 remove 376 ref subst subst 9566 def trans absThm appThm 9566 remove trans sym 105 ref eqMp 33 ref 33 ref 543 ref 4 ref 544 ref 4 ref 4253 remove absTerm 9567 def 28 ref appTerm betaConv 9568 def appThm 8840 remove appThm absThm appThm appThm 35 ref 292 ref 4 ref 329 ref 9568 remove appThm 9031 remove refl appThm absThm appThm appThm appThm nil 2930 ref 9567 remove nil cons cons 3209 ref 7258 ref nil cons 9569 def cons nil cons cons nil cons cons 3209 ref 9562 remove 34 ref 288 ref 9564 remove appTerm appTerm appTerm absTerm 9570 def 9559 ref appTerm 9571 def betaConv 2930 ref 7300 ref 9570 ref appTerm 9572 def absTerm 9573 def 7258 remove appTerm 9574 def betaConv nil 67 ref 7300 ref 9573 ref appTerm nil cons cons 68 ref 9574 remove nil cons cons nil cons cons nil cons cons 136 ref subst 7271 ref 7257 ref 9573 remove nil cons cons "x" 24 remove var 9575 def 9569 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9572 remove nil cons cons 68 ref 9571 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 7271 remove 7257 remove 9570 remove nil cons cons 9575 remove 9559 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp 9576 def subst eqMp appThm 543 ref 3230 ref 33 ref 543 ref 8848 ref 544 ref 8848 ref 8850 ref absTerm 9577 def 8852 ref appTerm betaConv 9578 def appThm 8848 ref 9549 ref absTerm 9579 def 8852 ref appTerm betaConv 9580 def appThm absThm appThm appThm 35 ref 292 ref 8848 ref 329 ref 9578 remove appThm 35 ref 9580 remove appThm appThm absThm appThm appThm appThm nil 2930 ref 9577 remove nil cons cons 3209 ref 9579 remove nil cons cons nil cons cons nil cons cons 9576 remove subst eqMp absThm appThm appThm sym 33 ref 35 ref 33 ref 292 ref 4 ref 8842 remove refl 9033 remove appThm absThm appThm appThm 292 ref 3230 ref 292 ref 8848 ref 8856 ref refl 9032 remove 8857 remove appTerm betaConv appThm absThm appThm absThm appThm appThm 9034 remove 8931 remove subst eqMp appThm appThm 534 ref 3230 ref 34 ref 288 ref 8848 ref 69 ref 8850 ref appTerm 34 ref 9549 ref appTerm 9581 def appTerm absTerm 9582 def appTerm appTerm absTerm appTerm refl appThm sym 33 ref 33 ref 35 ref 292 ref 3230 ref 3230 ref 288 ref 8848 ref 8856 remove 34 ref 8858 ref appTerm 9583 def appTerm absTerm 9584 def appTerm absTerm 9585 def 3231 ref appTerm betaConv 9586 def absThm appThm appThm appThm 543 ref 3230 ref 35 ref 9586 remove appThm absThm appThm appThm nil 2930 ref 9585 remove nil cons cons nil cons nil cons cons 6271 ref subst eqMp 543 ref 3230 ref 33 ref 35 ref 292 ref 8848 ref 9584 ref 8852 ref appTerm betaConv 9587 def absThm appThm appThm appThm 543 ref 8848 ref 35 ref 9587 remove appThm absThm appThm appThm nil 2930 ref 9584 remove nil cons cons nil cons nil cons cons 6271 ref subst eqMp 543 ref 8848 ref nil 659 ref 9583 remove nil cons cons 661 ref 8867 remove cons nil cons cons nil cons cons 6178 ref subst 75 ref 8855 remove appTerm 9588 def refl nil 99 ref 8868 ref cons nil cons nil cons cons 210 ref subst appThm trans absThm appThm trans absThm appThm trans appThm 543 ref 3230 ref 33 ref 35 ref 292 ref 8848 ref 9582 ref 8852 remove appTerm betaConv 9589 def absThm appThm appThm appThm 543 ref 8848 ref 35 ref 9589 remove appThm absThm appThm appThm nil 2930 ref 9582 remove nil cons cons nil cons nil cons cons 6271 ref subst eqMp 543 ref 8848 ref nil 659 ref 9581 remove nil cons cons 661 ref 8871 remove cons nil cons 9590 def cons nil cons cons 6178 ref subst 8851 remove refl nil 99 ref 9549 remove nil cons cons nil cons nil cons cons 210 ref subst appThm nil 1272 ref 8868 remove cons 659 ref 8872 remove cons 9590 remove cons cons nil cons cons 4035 remove subst trans trans absThm appThm trans absThm appThm appThm nil 166 ref 534 ref 3230 ref 534 ref 8848 remove 9588 remove 8858 remove appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 7300 remove 9555 remove appTerm thm 8363 ref 766 ref 292 ref 4 ref 1522 ref 783 ref 33 ref 6538 remove appThm 54 ref 41 ref 757 ref 795 ref 6535 remove 767 remove 800 ref appTerm 9591 def appTerm absTerm appTerm absTerm appTerm 9592 def refl appThm nil 166 ref 54 ref 452 ref 757 ref 759 ref 69 ref 1544 remove appTerm 770 ref appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 1600 ref trans absThm appThm 526 ref trans absThm appThm 371 ref 8385 remove 376 remove subst subst 9593 def trans sym 105 ref eqMp nil 774 ref 766 ref 288 ref 4 ref 812 ref 783 ref 23 ref 746 remove 6537 remove appTerm appTerm 9592 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 8363 remove 766 ref 292 ref 4 ref 1522 ref 783 ref 33 ref 3743 remove appThm 39 ref 41 ref 794 ref 795 ref 621 ref 3729 remove 9591 remove appTerm appTerm absTerm appTerm absTerm appTerm 9594 def refl appThm nil 166 ref 39 ref 452 ref 794 ref 759 ref 1541 ref 5224 remove 770 remove appTerm appTerm absTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 1600 remove trans absThm appThm 526 ref trans absThm appThm 9593 remove trans sym 105 ref eqMp nil 774 remove 766 ref 288 ref 4 ref 812 ref 783 ref 23 ref 3722 ref 3735 remove appTerm appTerm 9594 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 1429 ref 1403 ref 292 ref 4 ref 292 ref 11 ref 69 ref 7503 ref appTerm 9595 def refl 5608 remove 1551 ref subst 758 ref 872 ref 33 ref 5609 remove appThm 5611 remove appThm absThm appThm trans 9596 def appThm absThm appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 288 ref 4 ref 288 ref 11 ref 9595 ref 757 ref 872 ref 23 ref 39 ref 41 ref 2413 ref 622 remove appTerm absTerm 9597 def appTerm 9598 def appTerm 75 ref 2416 ref appTerm 9599 def 4454 remove appTerm 9600 def appTerm 9601 def absTerm 9602 def appTerm 9603 def appTerm 9604 def absTerm 9605 def appTerm 9606 def absTerm 9607 def appTerm 9608 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 9608 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9607 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 9606 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9605 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 9604 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7503 ref nil cons 9609 def cons 9610 def 68 ref 9603 remove nil cons 9611 def cons nil cons 9612 def cons nil cons cons 9613 def 86 ref subst 9613 remove 151 ref subst nil 871 ref 9602 remove nil cons cons nil cons nil cons cons 898 ref subst 9614 def 872 ref nil 99 ref 9601 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9598 ref nil cons 9615 def cons 68 ref 9600 ref nil cons 9616 def cons nil cons 9617 def cons nil cons cons 348 ref subst nil 144 ref 1134 ref 69 ref 9597 ref 1137 ref appTerm 9618 def appTerm 9600 ref appTerm 9619 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 9619 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9618 ref nil cons 9620 def cons 9617 ref cons nil cons cons 9621 def 86 ref subst 9621 remove 151 ref subst 9618 ref betaConv 9622 def 9618 remove assume eqMp nil 67 ref 2460 remove 4236 remove appTerm nil cons 9623 def cons 9617 remove cons nil cons cons 9624 def 136 ref subst proveHyp 9624 ref 86 ref subst 9624 remove 151 ref subst nil 2467 remove 114 ref 4248 remove cons nil cons cons nil cons cons 9625 def 127 ref subst 9625 remove 347 ref subst 4251 remove 4252 remove 4474 remove sym 9626 def 4481 ref 2239 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 4490 ref 1139 ref cons nil cons cons 594 ref subst 9627 def proveHyp nil 67 ref 2417 ref cons 9628 def 4472 remove cons nil cons cons 151 ref subst proveHyp 4480 remove 4481 ref 3009 remove appThm 941 ref trans sym 105 ref eqMp eqMp 4486 remove proveHyp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 9623 remove cons 114 ref 9616 ref cons nil cons 9629 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 9620 remove cons 9629 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 9597 ref 45 ref appTerm appTerm 9600 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 9598 ref appTerm 9600 ref appTerm nil cons 9630 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 9597 remove nil cons cons 9631 def 9629 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 9630 remove cons 68 ref 69 ref 9600 remove appTerm 9598 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 9616 ref cons 68 ref 9615 ref cons nil cons 9632 def cons nil cons cons 9633 def 86 ref subst 9633 remove 151 ref subst nil 112 ref 2417 ref cons 4487 remove cons nil cons cons 9634 def 127 ref subst 9634 remove 347 ref subst nil 9628 ref 9632 ref cons nil cons cons 136 ref subst nil 144 ref 1134 ref 4467 ref 9598 ref appTerm 9635 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 9635 remove nil cons cons nil cons nil cons cons 106 ref subst nil 4470 ref 9632 ref cons nil cons cons 9636 def 86 ref subst 9636 remove 151 ref subst 4475 ref nil 2465 ref 9632 ref cons nil cons cons 9637 def 136 ref subst proveHyp 9637 ref 86 ref subst 9637 remove 151 ref subst 4477 ref 2469 ref nil 67 ref 4471 remove cons 9632 ref cons nil cons cons 136 ref subst nil 144 ref 2812 ref 69 ref 4453 ref 2813 ref appTerm 9638 def appTerm 9598 ref appTerm 9639 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 2812 ref nil 99 ref 9639 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9638 ref nil cons 9640 def cons 9632 ref cons nil cons cons 9641 def 86 ref subst 9641 remove 151 ref subst 9638 ref betaConv 9638 remove assume eqMp nil 67 ref 3034 remove 3043 ref appTerm nil cons 9642 def cons 9632 remove cons nil cons cons 9643 def 136 ref subst proveHyp 9643 ref 86 ref subst 9643 remove 151 ref subst nil 3038 remove 114 ref 6961 ref cons nil cons cons nil cons cons 9644 def 127 ref subst 9644 remove 347 ref subst 9622 remove sym 4481 remove 4223 remove 1262 ref appThm 4482 ref trans appThm 4482 remove trans sym 3004 ref refl 3041 remove sym appThm sym 6936 remove eqMp nil 67 ref 3004 ref 2823 ref appTerm nil cons cons 68 ref 6958 remove cons nil cons cons nil cons cons 136 ref subst proveHyp nil 296 ref 2845 remove cons 1139 ref cons nil cons cons 7500 ref 297 ref appTerm 9645 def betaConv 7502 ref 45 ref appTerm 9646 def betaConv nil 9610 remove 68 ref 9646 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 7502 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7501 remove nil cons cons 68 ref 9645 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 7500 remove nil cons cons 314 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp 3772 ref 6963 remove appThm 1036 ref appThm nil 99 ref 6961 remove cons nil cons nil cons cons 106 ref subst 3043 remove assume eqMp trans sym 105 ref eqMp proveHyp eqMp eqMp 309 ref 9631 remove 1139 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 9642 remove cons 114 ref 9615 remove cons nil cons 9647 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 9640 remove cons 9647 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 6941 ref 9598 ref appTerm absTerm appTerm nil cons cons 68 ref 6942 ref 9598 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 4485 ref 9647 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 2464 ref 9647 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 4488 ref 9647 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 4489 ref 9598 ref appTerm absTerm appTerm nil cons cons 68 ref 4451 ref 9598 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 4490 ref 9647 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 9616 remove cons 9647 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 112 ref 9609 ref cons 114 ref 9611 ref cons nil cons 9648 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 1422 ref 1403 ref 288 ref 4 ref 288 ref 11 ref 9595 remove 1433 ref 5599 remove appTerm 5601 remove appTerm 9649 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 1453 ref 1403 ref 23 ref 288 ref "k" 3 ref var 9650 def 2909 ref 783 ref 27 ref 425 ref 426 ref 39 ref 41 ref 428 ref 5881 ref appTerm absTerm appTerm absTerm appTerm appTerm 9651 def 9650 ref varTerm 9652 def appTerm 9653 def absTerm appTerm 9654 def absTerm appTerm appTerm 7503 ref appTerm 9655 def absTerm 9656 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 9655 ref nil cons 9657 def cons nil cons nil cons cons 9658 def 106 ref subst 5205 ref 23 ref 288 ref 9650 ref 69 ref 686 ref 9652 ref appTerm 9659 def 6 ref appTerm appTerm 9660 def 2909 ref 783 ref 75 ref 5738 remove 5208 ref appTerm 9661 def appTerm 9662 def 27 ref 425 ref 426 ref 39 ref 41 ref 428 ref 828 ref 5881 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm 9652 ref appTerm 9663 def appTerm absTerm appTerm appTerm absTerm appTerm appTerm 75 ref 3050 ref 1407 ref 6 ref appTerm 9664 def appTerm 9665 def 5208 ref appTerm appTerm 7694 ref appTerm appTerm absTerm 9666 def 738 ref appTerm 9667 def betaConv 4 ref 812 ref 5205 ref 23 ref 288 ref 9650 ref 69 ref 9659 remove 28 ref appTerm 9668 def appTerm 2909 ref 783 ref 9662 ref 27 ref 425 ref 426 ref 39 ref 41 ref 428 ref 621 ref 5881 ref appTerm 9669 def appTerm absTerm appTerm absTerm appTerm 9670 def appTerm 9671 def 9652 ref appTerm appTerm absTerm 9672 def appTerm 9673 def appTerm 9674 def absTerm 9675 def appTerm 9676 def appTerm 75 ref 4492 remove 5208 ref appTerm 9677 def appTerm 7518 ref appTerm 9678 def appTerm 9679 def absTerm 9680 def appTerm 9681 def absTerm 9682 def 6 ref appTerm 9683 def betaConv nil 317 ref 9682 ref nil cons cons 9684 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 9681 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 9680 remove nil cons cons nil cons nil cons cons 3128 ref subst 5205 ref nil 99 ref 9679 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9676 ref nil cons 9685 def cons 9686 def 68 ref 9678 ref nil cons 9687 def cons nil cons cons nil cons cons 9688 def 348 ref subst 9688 ref 86 ref subst 9688 remove 151 ref subst nil 5218 ref 2406 ref cons nil cons cons 3059 ref subst 33 ref 758 ref 872 ref 69 ref 1552 ref 1408 ref appTerm 9689 def appTerm 9690 def refl 872 ref 1552 ref 5208 ref appTerm 9691 def absTerm 9692 def 910 ref appTerm betaConv 9693 def appThm absThm appThm appThm 55 ref 41 ref 705 ref 9692 ref 1412 ref appTerm betaConv appThm absThm appThm appThm nil 1461 ref 9692 ref nil cons cons 9694 def nil cons nil cons cons 7865 ref 28 ref appTerm 9695 def betaConv 7867 ref 1406 ref appTerm 9696 def betaConv 7869 ref 7822 ref appTerm 9697 def betaConv 7863 remove nil 67 ref 7870 remove nil cons cons 68 ref 9697 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 6754 ref 6753 ref 7869 remove nil cons cons 6821 ref 7822 ref nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7868 remove nil cons cons 68 ref 9696 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 7867 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 7866 remove nil cons cons 68 ref 9695 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 7865 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp 9698 def subst eqMp trans sym nil 144 ref 41 ref 690 ref 3531 ref 5208 ref appTerm 9699 def appTerm 9700 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9700 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 9699 ref nil cons 9701 def cons nil cons 9702 def cons nil cons cons 9703 def 86 ref subst 9703 remove 151 ref subst 9675 ref 1123 ref appTerm 9704 def betaConv nil 9686 remove 68 ref 9704 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 9675 remove nil cons cons 9705 def 8961 remove cons nil cons cons 161 ref subst eqMp eqMp 9706 def nil 67 ref 69 ref 2274 remove appTerm 2909 ref 783 ref 9662 ref 9671 remove 1123 remove appTerm appTerm absTerm appTerm appTerm nil cons cons 9707 def 9702 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 2275 ref 45 ref appTerm 9708 def betaConv 2277 ref 28 ref appTerm 9709 def betaConv 2273 remove nil 67 ref 2278 remove nil cons cons 68 ref 9709 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2277 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 2276 remove nil cons cons 68 ref 9708 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 2275 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp 9710 def 1741 ref trans appThm 2910 ref 783 ref 9662 ref refl nil 1136 remove 4 ref 9670 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 1134 ref 33 ref 33 ref 1153 ref refl 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 9669 ref absTerm 9711 def 45 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 9711 ref 1137 ref appTerm betaConv appThm nil 56 ref 9711 remove nil cons cons 1139 ref cons nil cons cons 465 ref subst eqMp appThm 1188 remove appThm absThm appThm trans appThm absThm appThm appThm nil 99 ref 2909 ref 783 ref 9662 remove 54 ref 1134 ref 23 ref 1155 remove 6883 ref 789 ref appTerm appTerm appTerm 1200 remove appTerm absTerm 9712 def appTerm 9713 def appTerm 9714 def absTerm 9715 def appTerm 9716 def nil cons cons nil cons nil cons cons 2033 ref subst trans appThm 9717 def 9699 ref refl 9718 def appThm sym 329 ref 2910 ref 783 ref 544 ref nil 5218 ref 1550 remove cons nil cons cons 3059 ref subst appThm 9713 ref refl appThm absThm appThm appThm 9718 ref appThm sym nil 820 ref 783 ref 69 ref 783 ref 75 ref 757 ref 872 ref 5760 ref 9691 ref appTerm 9719 def absTerm 9720 def appTerm 9721 def appTerm 9713 ref appTerm 9722 def absTerm 9723 def 789 ref appTerm 9724 def appTerm 9699 ref appTerm 9725 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 9725 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9724 ref nil cons 9726 def cons 9702 ref cons nil cons cons 9727 def 86 ref subst 9727 remove 151 ref subst 9724 ref betaConv 9724 remove assume eqMp nil 67 ref 9722 remove nil cons 9728 def cons 9702 ref cons nil cons cons 9729 def 136 ref subst proveHyp 9729 ref 86 ref subst 9729 remove 151 ref subst nil 112 ref 9721 remove nil cons 9730 def cons 114 ref 9713 remove nil cons 9731 def cons nil cons 9732 def cons nil cons cons 9733 def 127 ref subst 9733 remove 347 ref subst 9712 ref 45 ref appTerm 9734 def betaConv nil 67 ref 9731 remove cons 9735 def 68 ref 9734 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 9712 ref nil cons cons 9736 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp 9737 def nil 67 ref 23 ref 9669 remove appTerm 222 remove appTerm nil cons cons 9738 def 9702 remove cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 1923 ref 5881 ref refl 9739 def appThm nil 99 ref 5891 ref cons nil cons nil cons cons 9740 def 562 ref subst 9741 def trans appThm 224 ref appThm 9740 ref 247 ref subst trans appThm 9718 remove appThm 2452 ref nil 99 ref 9719 remove nil cons cons nil cons nil cons cons 106 ref subst 9720 ref 910 ref appTerm 9742 def betaConv nil 67 ref 9730 remove cons 68 ref 9742 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 9720 remove nil cons cons 3115 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp subst trans sym 105 ref eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 9728 remove cons 114 ref 9701 remove cons nil cons 9743 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 9726 remove cons 9743 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 812 ref 821 ref 69 ref 9723 ref 4818 ref appTerm appTerm 9699 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2909 ref 9723 ref appTerm appTerm 9699 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 9723 remove nil cons cons 9743 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp eqMp nil 1731 ref 9743 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 67 ref 9677 ref nil cons 9744 def cons 7638 remove cons nil cons cons 151 ref subst proveHyp 7640 remove 41 ref 7641 remove 7642 remove 296 ref 7643 ref 7647 remove 7648 remove 7650 remove 7651 remove 7655 remove 7656 remove 9706 remove nil 9707 remove 7645 ref cons nil cons cons 136 ref subst proveHyp 9717 remove 2202 ref appThm sym nil 820 ref 783 ref 69 ref 9715 ref 789 ref appTerm 9745 def appTerm 298 ref appTerm 9746 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 9746 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9745 ref nil cons 9747 def cons 7645 ref cons nil cons cons 9748 def 86 ref subst 9748 remove 151 ref subst 9745 ref betaConv 9745 remove assume eqMp nil 67 ref 9714 remove nil cons 9749 def cons 7645 ref cons nil cons cons 9750 def 136 ref subst proveHyp 9750 ref 86 ref subst 9750 remove 151 ref subst nil 112 ref 9661 ref nil cons cons 9732 remove cons nil cons cons 347 ref subst 9712 remove 297 ref appTerm 9751 def betaConv nil 9735 remove 68 ref 9751 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 9736 remove 314 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 1189 ref 805 ref 7498 ref appTerm 789 ref appTerm 9752 def appTerm appTerm 301 ref appTerm 9753 def nil cons cons 7645 ref cons nil cons cons 136 ref subst proveHyp 9737 remove nil 9738 remove 68 ref 69 ref 9753 remove appTerm 298 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 1923 ref 3146 ref 7675 ref appThm 3814 ref appThm appThm nil 99 ref 9752 ref nil cons 9754 def cons nil cons nil cons cons 9755 def 562 ref subst 9756 def trans appThm 224 ref appThm 9755 ref 247 ref subst trans appThm 329 ref 33 ref 7674 remove 9752 ref refl appThm 9756 remove trans appThm 5994 ref appThm appThm 2202 ref appThm appThm sym nil 67 ref 9754 ref cons 68 ref 69 ref 23 ref 9752 ref appTerm 301 ref appTerm appTerm 298 ref appTerm nil cons 9757 def cons nil cons cons nil cons cons 9758 def 86 ref subst 9758 remove 151 ref subst 329 ref 33 ref 9755 remove 106 ref subst 9752 remove assume eqMp appThm 5994 remove appThm 5996 remove 242 ref subst trans appThm 2202 ref appThm sym 7687 remove eqMp eqMp nil 112 ref 9754 remove cons 114 ref 9757 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp eqMp nil 112 ref 9749 remove cons 7686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 9747 remove cons 7686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 812 ref 821 ref 69 ref 9715 ref 4818 ref appTerm appTerm 298 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 9716 remove appTerm 298 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 9715 remove nil cons cons 7686 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp 7688 remove deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 9685 ref cons 114 ref 9687 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 9676 ref appTerm 9678 ref appTerm nil cons cons 68 ref 69 ref 9678 remove appTerm 9676 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 9687 ref cons 68 ref 9685 ref cons nil cons cons nil cons cons 9759 def 86 ref subst 9759 remove 151 ref subst nil 112 ref 9744 ref cons 7689 remove cons nil cons cons 9760 def 127 ref subst 9760 remove 347 ref subst nil 9705 remove nil cons nil cons cons 327 ref subst 9650 ref nil 99 ref 9674 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9668 ref nil cons 9761 def cons 9762 def 68 ref 9673 remove nil cons 9763 def cons nil cons cons nil cons cons 9764 def 86 ref subst 9764 remove 151 ref subst 9672 ref 1407 ref 9652 ref appTerm 9765 def appTerm betaConv sym 783 ref 75 ref 3050 ref 9765 ref appTerm 9766 def 789 ref appTerm appTerm 9661 remove appTerm absTerm 9767 def 1408 ref appTerm betaConv sym 75 ref 9766 ref 1408 ref appTerm 9768 def appTerm refl nil 99 ref 9744 remove cons nil cons nil cons cons 106 ref subst 9677 remove assume eqMp appThm nil 99 ref 9768 remove nil cons 9769 def cons nil cons nil cons cons 1362 ref subst trans sym nil 9762 remove 68 ref 9769 remove cons nil cons cons nil cons cons 136 ref subst nil 596 ref 4 ref 9652 ref nil cons 9770 def cons 9771 def nil cons 9772 def cons nil cons cons 9773 def 4493 ref 30 ref appTerm 9774 def betaConv 1403 ref 4494 ref absTerm 9775 def 1406 ref appTerm 9776 def betaConv 4 ref 1422 ref 9775 ref appTerm 9777 def absTerm 9778 def 28 ref appTerm 9779 def betaConv 4491 ref nil 67 ref 4498 remove nil cons 9780 def cons 9781 def 68 ref 288 ref 9778 ref appTerm nil cons 9782 def cons nil cons cons nil cons cons 9783 def 136 ref subst proveHyp 9783 ref 86 ref subst 9783 remove 151 ref subst nil 317 ref 9778 remove nil cons cons 9784 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 9777 remove nil cons 9785 def cons nil cons nil cons cons 106 ref subst nil 1453 ref 9775 remove nil cons cons 9786 def nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 4494 remove nil cons 9787 def cons nil cons nil cons cons 106 ref subst 4495 ref 28 ref appTerm 9788 def betaConv 4497 ref 1406 ref appTerm 9789 def betaConv 9790 def nil 9781 remove 68 ref 9789 remove nil cons cons nil cons cons nil cons cons 136 ref subst 9791 def 1452 ref 1453 ref 4497 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst 9792 def eqMp eqMp nil 67 ref 4496 remove nil cons cons 9793 def 68 ref 9788 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4495 ref nil cons cons 9794 def 359 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 9780 remove cons 114 ref 9782 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 9782 remove cons 68 ref 9779 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 9784 remove 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9785 remove cons 68 ref 9776 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 9786 remove 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9787 remove cons 68 ref 9774 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 4493 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 9795 def subst eqMp eqMp eqMp 819 ref 820 ref 9767 ref nil cons cons 821 ref 2404 remove cons nil cons 9796 def cons nil cons cons 594 ref subst proveHyp nil 67 ref 2909 ref 9767 remove appTerm nil cons cons 68 ref 9766 remove 5208 ref appTerm nil cons 9797 def cons nil cons cons nil cons cons 136 ref subst proveHyp nil 1548 ref 9765 ref nil cons 9798 def cons nil cons nil cons cons 897 ref 4410 ref subst subst eqMp nil 67 ref 9797 remove cons 68 ref 27 ref 425 ref 426 ref 39 ref 41 ref 428 ref 621 ref 3531 ref 9765 remove appTerm 9799 def appTerm 9800 def appTerm absTerm appTerm absTerm appTerm 9801 def appTerm 9652 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 11 ref 9770 remove cons 4 ref 9801 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 9800 ref absTerm 9802 def 45 ref appTerm betaConv 9803 def appThm absThm appThm absThm appThm appThm appThm 9803 remove appThm nil 56 ref 9802 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp appThm 46 ref 9652 ref appTerm 9804 def refl 9805 def appThm absThm appThm trans sym nil 144 ref 41 ref 23 ref 9800 ref appTerm 9804 ref appTerm 9806 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9806 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9800 ref nil cons 9807 def cons 68 ref 9804 ref nil cons 9808 def cons nil cons 9809 def cons nil cons cons 348 ref subst 329 ref 1357 ref nil 9771 remove 2776 ref cons nil cons cons 1469 ref subst appThm appThm 9805 remove appThm sym nil 67 ref 621 ref 39 ref 1134 ref 2441 ref 1153 remove 9652 ref appTerm appTerm absTerm 9810 def appTerm 9811 def appTerm nil cons 9812 def cons 9809 ref cons nil cons cons 9813 def 86 ref subst 9813 remove 151 ref subst nil 1731 ref 114 ref 9811 ref nil cons 9814 def cons nil cons cons nil cons cons 9815 def 127 ref subst 9815 remove 347 ref subst nil 67 ref 9814 remove cons 9809 ref cons nil cons cons 136 ref subst nil 144 ref 296 ref 69 ref 9810 ref 297 ref appTerm 9816 def appTerm 9804 ref appTerm 9817 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 9817 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9816 ref nil cons 9818 def cons 9809 ref cons nil cons cons 9819 def 86 ref subst 9819 remove 151 ref subst 9816 ref betaConv 9816 remove assume eqMp nil 67 ref 75 ref 7499 ref appTerm 9820 def 1163 ref 9652 ref appTerm 9821 def appTerm nil cons 9822 def cons 9809 remove cons nil cons cons 9823 def 136 ref subst proveHyp 9823 ref 86 ref subst 9823 remove 151 ref subst nil 112 ref 7652 remove cons 9824 def 114 ref 9821 ref nil cons 9825 def cons nil cons cons nil cons cons 9826 def 127 ref subst 9826 remove 347 ref subst 1923 ref 1189 remove refl 7678 ref appThm 5991 ref 1362 ref subst trans appThm 5991 remove 562 ref subst trans sym 9827 def nil 67 ref 9825 ref cons 68 ref 5988 ref cons nil cons 9828 def cons nil cons cons 136 ref subst 1160 ref 41 ref 69 ref 9804 ref appTerm 9829 def 49 ref appTerm absTerm 9830 def 45 ref appTerm 9831 def betaConv 9773 remove 700 ref subst 9668 remove assume eqMp nil 67 ref 54 ref 9830 ref appTerm nil cons cons 68 ref 9831 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 9830 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp 9832 def subst eqMp eqMp 7646 remove 136 ref subst 9833 def proveHyp 7635 ref eqMp 3772 ref 3582 remove appThm 9834 def 9652 remove refl 9835 def appThm nil 99 ref 9825 remove cons nil cons nil cons cons 106 ref subst 9821 remove assume eqMp trans sym 105 ref eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 9822 remove cons 114 ref 9808 ref cons nil cons 9836 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 9818 remove cons 9836 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 1134 ref 69 ref 9810 ref 1137 ref appTerm appTerm 9804 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 9811 remove appTerm 9804 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 9810 remove nil cons cons 9836 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 9812 remove cons 9836 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 69 ref 9800 ref appTerm 9804 remove appTerm nil cons cons 68 ref 9829 remove 9800 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 9808 ref cons 9837 def 68 ref 9807 ref cons nil cons cons nil cons cons 9838 def 86 ref subst 9838 remove 151 ref subst nil 9837 ref 1706 ref cons nil cons cons 136 ref subst 9832 remove eqMp nil 1015 ref 68 ref 9799 remove nil cons cons nil cons 9839 def cons nil cons cons 151 ref subst proveHyp nil 9837 remove 9839 remove cons nil cons cons 136 ref subst nil 9772 remove nil cons cons 9840 def 4 ref 3533 ref absTerm 9841 def 28 ref appTerm 9842 def betaConv 1403 ref 288 ref 9841 ref appTerm 9843 def absTerm 9844 def 1406 ref appTerm 9845 def betaConv 41 ref 1422 ref 9844 ref appTerm 9846 def absTerm 9847 def 45 ref appTerm 9848 def betaConv 3530 remove nil 67 ref 3539 remove nil cons 9849 def cons 9850 def 68 ref 54 ref 9847 ref appTerm nil cons 9851 def cons nil cons cons nil cons cons 9852 def 136 ref subst proveHyp 9852 ref 86 ref subst 9852 remove 151 ref subst nil 144 ref 9847 remove nil cons cons 9853 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9846 remove nil cons 9854 def cons nil cons nil cons cons 106 ref subst nil 1453 ref 9844 remove nil cons cons 9855 def nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 9843 remove nil cons 9856 def cons nil cons nil cons cons 106 ref subst nil 317 ref 9841 remove nil cons cons 9857 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 3533 remove nil cons cons nil cons nil cons cons 106 ref subst 3534 ref 45 ref appTerm 9858 def betaConv 3536 ref 28 ref appTerm 9859 def betaConv 3538 ref 1406 ref appTerm 9860 def betaConv nil 9850 remove 68 ref 9860 remove nil cons cons nil cons cons nil cons cons 136 ref subst 1452 ref 1453 ref 3538 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3537 remove nil cons cons 68 ref 9859 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 3536 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 3535 remove nil cons cons 68 ref 9858 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 3534 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 9849 remove cons 114 ref 9851 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 9851 remove cons 68 ref 9848 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 9853 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9854 remove cons 68 ref 9845 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 9855 remove 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9856 remove cons 68 ref 9842 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 9857 remove 359 ref cons nil cons cons 161 ref subst eqMp eqMp 9861 def subst eqMp eqMp eqMp nil 112 ref 9808 remove cons 114 ref 9807 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp 819 ref 820 ref 9672 remove nil cons cons 821 ref 9798 remove cons nil cons cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 9761 remove cons 114 ref 9763 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 9687 remove cons 114 ref 9685 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 9862 def nil 67 ref 288 ref 9682 remove appTerm 9863 def nil cons 9864 def cons 68 ref 9683 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 9684 remove 567 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 812 ref 9666 ref appTerm nil cons cons 68 ref 9667 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 9666 remove nil cons cons 5716 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 288 ref 9650 ref 9660 remove 2909 ref 783 ref 75 ref 5949 remove appTerm 9663 remove appTerm absTerm appTerm appTerm absTerm appTerm appTerm 75 ref 9665 remove 738 ref appTerm appTerm 7694 ref appTerm appTerm nil cons cons 68 ref 9657 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 292 ref 9650 remove 329 ref 9840 remove 711 ref subst appThm 2910 ref 783 ref 544 ref 5951 remove appThm 640 ref 429 ref 426 ref 40 ref 41 ref 430 ref 1487 ref 9739 ref appThm 9741 remove trans appThm absThm appThm absThm appThm appThm 9835 remove appThm appThm nil 99 ref 9653 remove nil cons cons nil cons nil cons cons 562 ref subst trans absThm appThm appThm nil 99 ref 9654 remove nil cons cons nil cons nil cons cons 2033 ref subst trans absThm appThm appThm 544 ref nil 1548 ref 9664 ref nil cons cons nil cons nil cons cons 9865 def 5950 ref subst appThm 7699 ref appThm nil 99 ref 9609 remove cons nil cons nil cons cons 562 ref subst trans appThm appThm 9655 remove refl appThm 9658 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp absThm eqMp nil 1422 ref 9656 remove appTerm thm nil 140 ref 56 ref 7313 ref 3063 ref 1433 ref 6342 remove appTerm 6341 remove appTerm 9866 def absTerm 9867 def appTerm 9868 def absTerm 9869 def nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 9868 remove nil cons cons nil cons nil cons cons 106 ref subst nil 7302 ref 9867 remove nil cons cons nil cons nil cons cons 7310 ref subst 3063 ref nil 99 ref 9866 remove nil cons cons nil cons nil cons cons 106 ref subst 6377 ref eqMp absThm eqMp eqMp absThm eqMp nil 65 ref 9869 remove appTerm thm nil 140 ref 56 ref 7313 ref 3063 ref 1433 ref 4765 remove appTerm 4758 remove appTerm 9870 def absTerm 9871 def appTerm 9872 def absTerm 9873 def nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 9872 remove nil cons cons nil cons nil cons cons 106 ref subst nil 7302 ref 9871 remove nil cons cons nil cons nil cons cons 7310 ref subst 3063 ref nil 99 ref 9870 remove nil cons cons nil cons nil cons cons 106 ref subst 4849 ref eqMp absThm eqMp eqMp absThm eqMp nil 65 ref 9873 remove appTerm thm 442 ref 56 ref 292 ref 4 ref 292 ref 11 ref 33 ref 55 ref 41 ref 4970 remove 451 ref appThm nil 267 ref 6046 remove cons 5122 remove cons nil cons cons 9874 def 267 ref 23 ref 69 ref 5169 remove appTerm 268 ref appTerm appTerm 75 ref 277 remove appTerm 275 ref appTerm appTerm absTerm 9875 def 268 ref appTerm 9876 def betaConv 68 ref 198 ref 9875 ref appTerm 9877 def absTerm 9878 def 72 ref appTerm 9879 def betaConv 67 ref 198 ref 9878 ref appTerm 9880 def absTerm 9881 def 70 ref appTerm 9882 def betaConv nil 198 ref 9881 ref appTerm 9883 def axiom nil 67 ref 9883 remove nil cons cons 68 ref 9882 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 9881 remove nil cons cons 1580 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9880 remove nil cons cons 68 ref 9879 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 9878 remove nil cons cons 1596 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9877 remove nil cons cons 68 ref 9876 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 9875 remove nil cons cons 5135 ref cons nil cons cons 161 ref subst eqMp eqMp subst trans absThm appThm 33 ref 55 ref 41 ref 544 ref 8199 ref appThm 41 ref 997 remove 58 ref appTerm absTerm 9884 def 45 ref appTerm betaConv 9885 def appThm absThm appThm appThm 544 ref 55 ref 41 ref 8199 remove absThm appThm appThm 55 ref 41 ref 9885 remove absThm appThm appThm appThm nil 56 ref 8183 remove cons 1568 ref 9884 ref nil cons cons nil cons cons nil cons cons 4627 remove subst eqMp trans appThm 75 ref 8156 remove appTerm 54 ref 9884 remove appTerm appTerm 9886 def refl appThm nil 166 ref 9886 ref nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 526 ref trans absThm appThm 526 ref trans absThm appThm 8272 ref trans sym 105 ref eqMp nil 65 ref 56 ref 288 ref 4 ref 288 ref 11 ref 23 ref 54 ref 41 ref 69 ref 5014 ref appTerm 58 ref appTerm absTerm appTerm appTerm 9886 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 442 ref 56 ref 292 ref 4 ref 292 ref 11 ref 33 ref 40 ref 41 ref 5159 remove 451 ref appThm 9887 def 9874 remove 7422 ref subst 9888 def trans absThm appThm 33 ref 40 ref 41 ref 1259 ref 6032 ref appThm 41 ref 8268 ref absTerm 9889 def 45 ref appTerm betaConv 9890 def appThm absThm appThm appThm 1259 ref 40 ref 41 ref 6032 remove absThm appThm appThm 40 ref 41 ref 9890 ref absThm appThm appThm appThm nil 6034 remove 1568 ref 9889 ref nil cons 9891 def cons nil cons cons nil cons cons 5593 ref 1570 ref appTerm 9892 def betaConv 5595 ref 57 ref appTerm 9893 def betaConv 5597 remove nil 67 ref 5596 remove nil cons cons 68 ref 9893 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 5595 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5594 remove nil cons cons 68 ref 9892 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 5593 remove nil cons cons 1581 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp trans appThm 251 ref 8213 remove appTerm 39 ref 9889 remove appTerm appTerm 9894 def refl appThm nil 166 ref 9894 ref nil cons cons nil cons nil cons cons 225 ref subst trans absThm appThm 526 ref trans absThm appThm 526 ref trans absThm appThm 8272 remove trans sym 105 ref eqMp nil 65 ref 56 ref 288 ref 4 ref 288 ref 11 ref 23 ref 39 ref 41 ref 75 ref 5014 remove appTerm 58 ref appTerm 9895 def absTerm 9896 def appTerm appTerm 9894 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 1453 ref 1403 ref 288 ref 4 ref 54 ref 452 ref 69 ref 54 ref 41 ref 69 ref 621 ref 2438 ref 1406 ref 453 ref appTerm 9897 def appTerm appTerm 9898 def appTerm 2964 ref appTerm absTerm 9899 def appTerm 9900 def appTerm 1433 ref 1407 ref 1114 remove 453 ref appTerm 9901 def appTerm appTerm 1111 remove 18 ref 731 ref 18 ref 721 ref 817 ref cons opType nil cons cons opType constTerm 1408 ref appTerm 9897 ref appTerm appTerm 9902 def appTerm 9903 def absTerm 9904 def appTerm 9905 def absTerm 9906 def appTerm 9907 def absTerm 9908 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 9907 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9906 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 9905 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 9904 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 9903 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9900 remove nil cons 9909 def cons 9910 def 68 ref 9902 ref nil cons 9911 def cons nil cons 9912 def cons nil cons cons 9913 def 86 ref subst 9913 remove 151 ref subst 2755 ref 1407 ref refl 9914 def 936 ref 1205 ref subst appThm appThm nil 872 ref 9897 ref nil cons 9915 def cons 9916 def 2406 ref cons nil cons cons 897 ref 1205 remove subst subst 5211 remove 1408 ref appTerm 9917 def refl 936 ref 41 ref 1433 ref 2893 remove appTerm 2895 remove appTerm 9918 def absTerm 9919 def 45 ref appTerm 9920 def betaConv 1403 ref 54 ref 9919 ref appTerm 9921 def absTerm 9922 def 1406 ref appTerm 9923 def betaConv 1429 ref 1403 ref 55 ref 41 ref 9918 remove assume sym 2896 remove assume sym deductAntisym absThm appThm absThm appThm 2894 remove eqMp nil 67 ref 1422 ref 9922 ref appTerm nil cons cons 68 ref 9923 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 9922 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9921 remove nil cons cons 68 ref 9920 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 9919 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp subst appThm trans appThm sym 9924 def 55 ref 41 ref 55 ref 296 ref 329 ref 1357 ref 544 ref nil 4122 ref 314 ref cons nil cons cons 1187 ref subst appThm 7697 ref appThm appThm appThm 2202 ref appThm absThm appThm absThm appThm sym nil 144 ref 41 ref 54 ref 296 ref 69 ref 621 ref 75 ref 300 ref 453 ref appTerm 9925 def appTerm 7499 ref appTerm 9926 def appTerm 9927 def appTerm 298 ref appTerm 9928 def absTerm 9929 def appTerm 9930 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9930 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 9929 remove nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 9928 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9927 remove nil cons 9931 def cons 7645 ref cons nil cons cons 9932 def 86 ref subst 9932 remove 151 ref subst nil 1731 ref 114 ref 9926 remove nil cons cons nil cons cons nil cons cons 9933 def 127 ref subst 9933 remove 347 ref subst nil 112 ref 9925 ref nil cons cons 7653 ref cons nil cons cons 9934 def 127 ref subst 9934 remove 347 ref subst 1470 remove 9925 remove assume 9935 def appThm sym 1923 ref 2834 ref 7675 ref 2855 remove 9935 remove appThm trans appThm 9897 ref refl appThm nil 9916 remove nil cons nil cons cons 940 ref subst trans appThm 941 ref trans sym 105 ref eqMp nil 67 ref 9898 remove nil cons cons 68 ref 4125 ref cons nil cons cons nil cons cons 136 ref subst proveHyp 9899 ref 45 ref appTerm 9936 def betaConv nil 9910 remove 68 ref 9936 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 9899 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 9931 remove cons 7686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 67 ref 54 ref 41 ref 54 ref 296 ref 69 ref 621 ref 75 ref 1163 ref 4117 ref appTerm appTerm 7499 ref appTerm appTerm appTerm 298 ref appTerm absTerm appTerm absTerm appTerm nil cons cons 68 ref 1433 ref 1407 ref 1119 remove 4117 ref appTerm appTerm appTerm 9917 ref 1407 ref 4117 ref appTerm appTerm appTerm nil cons cons nil cons 9937 def cons nil cons cons 136 ref subst proveHyp nil 4118 remove nil cons nil cons cons 9938 def 11 ref 69 ref 54 ref 41 ref 54 ref 296 ref 69 ref 621 ref 75 ref 1163 ref 30 ref appTerm 9939 def appTerm 9940 def 7499 ref appTerm 9941 def appTerm 9942 def appTerm 298 ref appTerm 9943 def absTerm 9944 def appTerm 9945 def absTerm 9946 def appTerm 9947 def appTerm 9948 def 1433 ref 1407 ref 1140 remove appTerm 9949 def appTerm 9917 remove 4446 ref appTerm 9950 def appTerm 9951 def appTerm absTerm 9952 def 30 ref appTerm 9953 def betaConv 1403 ref 288 ref 9952 ref appTerm 9954 def absTerm 9955 def 1406 ref appTerm 9956 def betaConv 4 ref 1422 ref 9955 ref appTerm 9957 def absTerm 9958 def 28 ref appTerm 9959 def betaConv 1429 ref 1403 ref 292 ref 4 ref 292 ref 11 ref 9948 ref refl nil 783 ref 9950 remove nil cons cons 1548 ref 9949 remove nil cons cons nil cons cons nil cons cons 1551 ref subst 758 ref 872 ref 33 ref nil 1858 remove 2408 ref cons nil cons cons 1469 ref subst 40 ref 41 ref 2906 ref 1152 ref appThm absThm appThm trans appThm 4449 remove 5220 remove subst 5610 ref 35 ref 4450 ref appThm 33 ref 35 ref 5582 remove appThm appThm 55 ref 41 ref 35 ref 5581 remove appThm absThm appThm appThm nil 56 ref 4484 remove cons nil cons nil cons cons 162 ref subst eqMp trans appThm trans appThm absThm appThm trans appThm absThm appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 288 ref 4 ref 288 ref 11 ref 9948 remove 757 ref 872 ref 23 ref 39 ref 41 ref 2413 ref 1143 ref appTerm absTerm appTerm appTerm 9599 ref 54 ref 41 ref 34 ref 4452 remove appTerm absTerm appTerm appTerm appTerm absTerm appTerm 9960 def appTerm 9961 def absTerm 9962 def appTerm 9963 def absTerm 9964 def appTerm 9965 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 9965 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9964 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 9963 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 9962 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 9961 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9947 remove nil cons 9966 def cons 9967 def 68 ref 9960 remove nil cons 9968 def cons nil cons cons nil cons cons 9969 def 86 ref subst 9969 remove 151 ref subst nil 871 ref 3672 ref 23 ref 39 ref 41 ref 6741 ref 1143 remove appTerm 9970 def absTerm 9971 def appTerm 9972 def appTerm 75 ref 39 ref 41 ref 6741 ref 49 ref appTerm 9973 def absTerm 9974 def appTerm 9975 def appTerm 54 ref 41 ref 34 ref 6741 ref 47 ref appTerm 9976 def appTerm 9977 def absTerm 9978 def appTerm 9979 def appTerm 9980 def appTerm 9981 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 3672 ref nil 99 ref 9981 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9972 ref nil cons 9982 def cons 68 ref 9980 ref nil cons 9983 def cons nil cons 9984 def cons nil cons cons 348 ref subst nil 144 ref 41 ref 69 ref 9971 ref 45 ref appTerm 9985 def appTerm 9980 ref appTerm 9986 def absTerm 9987 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 9986 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9985 ref nil cons 9988 def cons 9984 ref cons nil cons cons 9989 def 86 ref subst 9989 remove 151 ref subst 9985 ref betaConv 9990 def 9985 remove assume eqMp nil 67 ref 9970 remove nil cons 9991 def cons 9984 remove cons nil cons cons 9992 def 136 ref subst proveHyp 9992 ref 86 ref subst 9992 remove 151 ref subst nil 6780 ref 114 ref 1868 remove cons nil cons cons nil cons cons 9993 def 127 ref subst 9993 remove 347 ref subst 1875 ref 4072 ref 9974 ref 45 ref appTerm 9994 def betaConv 9995 def sym 544 ref 2834 ref 6792 ref appThm 9996 def 2841 remove appThm 2453 ref trans appThm 9997 def 1741 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 9974 remove nil cons cons 9998 def 311 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 9975 ref nil cons 9999 def cons 10000 def 68 ref 9979 remove nil cons 10001 def cons nil cons cons nil cons cons 151 ref subst proveHyp nil 144 ref 296 ref 34 ref 75 ref 6739 ref 7498 ref appTerm 10002 def appTerm 9939 ref appTerm 10003 def appTerm 10004 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 10004 remove nil cons cons nil cons nil cons cons 106 ref subst nil 112 ref 10003 remove nil cons 10005 def cons 10006 def nil cons nil cons cons 1070 ref subst nil 67 ref 10005 remove cons 1072 ref cons nil cons cons 10007 def 86 ref subst 10007 remove 151 ref subst nil 112 ref 10002 ref nil cons cons 114 ref 9939 ref nil cons 10008 def cons nil cons 10009 def cons nil cons cons 10010 def 127 ref subst 10010 remove 347 ref subst nil 1931 remove 1072 ref cons nil cons cons 136 ref subst 1357 ref 9940 ref refl 5835 ref 10002 remove assume sym appThm appThm appThm sym 1923 ref 544 ref nil 99 ref 10008 ref cons nil cons nil cons cons 106 ref subst 9939 ref assume eqMp 10011 def appThm 10012 def 5835 ref 6792 ref appThm 2453 ref trans appThm 941 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp nil 67 ref 9942 remove nil cons 10013 def cons 7645 ref cons nil cons cons 10014 def 136 ref subst proveHyp 9944 ref 297 ref appTerm 10015 def betaConv 9946 ref 45 ref appTerm 10016 def betaConv nil 9967 ref 68 ref 10016 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 9946 remove nil cons cons 10017 def 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9945 remove nil cons 10018 def cons 68 ref 10015 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 9944 remove nil cons cons 10019 def 314 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp 1948 ref 1077 ref subst 2358 remove trans 9834 ref 1036 ref appThm 10011 remove trans trans sym 105 ref eqMp proveHyp eqMp proveHyp proveHyp eqMp nil 10006 remove 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 9991 remove cons 114 ref 9983 ref cons nil cons 10020 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 9988 remove cons 10020 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 9987 remove appTerm nil cons cons 68 ref 69 ref 9972 ref appTerm 9980 ref appTerm nil cons 10021 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 9971 remove nil cons cons 10022 def 10020 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 10021 remove cons 68 ref 69 ref 9980 remove appTerm 9972 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 9983 ref cons 68 ref 9982 ref cons nil cons 10023 def cons nil cons cons 10024 def 86 ref subst 10024 remove 151 ref subst nil 112 ref 9999 ref cons 114 ref 10001 ref cons nil cons cons nil cons cons 10025 def 127 ref subst 10025 remove 347 ref subst nil 10000 ref 10023 ref cons nil cons cons 136 ref subst nil 144 ref 41 ref 69 ref 9994 ref appTerm 10026 def 9972 ref appTerm 10027 def absTerm 10028 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 10027 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9994 ref nil cons 10029 def cons 10030 def 10023 ref cons nil cons cons 10031 def 86 ref subst 10031 remove 151 ref subst 9995 remove 9994 remove assume eqMp 10032 def nil 67 ref 9973 remove nil cons 10033 def cons 10034 def 10023 remove cons nil cons cons 10035 def 136 ref subst proveHyp 10035 ref 86 ref subst 10035 remove 151 ref subst nil 6780 ref 1878 ref cons nil cons cons 10036 def 127 ref subst 10037 def 10036 remove 347 ref subst 10038 def 9990 remove sym 9997 ref 1923 ref 1947 ref appThm 2357 ref trans appThm 2357 remove trans sym 9978 ref 45 ref appTerm 10039 def betaConv nil 67 ref 10001 remove cons 68 ref 10039 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 9978 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9977 remove nil cons cons 3971 ref cons nil cons cons 136 ref subst proveHyp 329 ref 35 ref 9997 ref 368 ref appThm 563 remove trans 10040 def appThm appThm 1947 remove appThm 1948 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp eqMp 309 ref 10022 remove 311 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 10033 remove cons 10041 def 114 ref 9982 remove cons nil cons 10042 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 10029 remove cons 10043 def 10042 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 10028 remove appTerm nil cons cons 68 ref 69 ref 9975 ref appTerm 10044 def 9972 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 9998 ref 10042 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 9983 remove cons 10042 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 112 ref 9966 remove cons 114 ref 9968 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 10045 def nil 67 ref 1422 ref 1403 ref 288 ref 4 ref 9954 ref absTerm 10046 def appTerm 10047 def absTerm 10048 def appTerm 10049 def nil cons 10050 def cons 10051 def 68 ref 288 ref 9958 ref appTerm nil cons 10052 def cons nil cons cons nil cons cons 10053 def 136 ref subst proveHyp 10053 ref 86 ref subst 10053 remove 151 ref subst nil 317 ref 9958 remove nil cons cons 10054 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 9957 remove nil cons 10055 def cons nil cons nil cons cons 106 ref subst nil 1453 ref 9955 remove nil cons cons 10056 def nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 9954 remove nil cons 10057 def cons nil cons nil cons cons 106 ref subst 10046 ref 28 ref appTerm 10058 def betaConv 10048 ref 1406 ref appTerm 10059 def betaConv nil 10051 remove 68 ref 10059 remove nil cons cons nil cons cons nil cons cons 136 ref subst 1452 ref 1453 ref 10048 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10047 remove nil cons cons 68 ref 10058 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 10046 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 10050 remove cons 114 ref 10052 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 10052 remove cons 68 ref 9959 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 10054 remove 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10055 remove cons 68 ref 9956 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 10056 remove 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10057 remove cons 68 ref 9953 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 9952 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 10060 def subst eqMp eqMp eqMp nil 112 ref 9909 remove cons 114 ref 9911 remove cons nil cons 10061 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 1422 ref 9908 remove appTerm thm 1429 ref 1403 ref 292 ref 4 ref 1522 ref 783 ref 69 ref 75 ref 757 ref 795 ref 3866 ref 5643 ref appTerm absTerm 10062 def appTerm 10063 def appTerm 54 ref 41 ref 23 ref 5881 ref appTerm 49 ref appTerm absTerm 10064 def appTerm 10065 def appTerm 10066 def appTerm 10067 def refl 5759 remove appThm absThm appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 288 ref 4 ref 812 ref 783 ref 10067 ref 5768 ref appTerm 10068 def absTerm 10069 def appTerm 10070 def absTerm 10071 def appTerm 10072 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 10072 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 10071 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 10070 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 10069 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 10068 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10066 remove nil cons 10073 def cons 68 ref 5768 remove nil cons 10074 def cons nil cons cons nil cons cons 10075 def 86 ref subst 10075 remove 151 ref subst nil 112 ref 10063 remove nil cons 10076 def cons 114 ref 10065 remove nil cons 10077 def cons nil cons cons nil cons cons 10078 def 127 ref subst 10078 remove 347 ref subst nil 871 ref 5767 remove nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 5766 remove nil cons cons nil cons nil cons cons 106 ref subst nil 9628 ref 2931 ref cons nil cons cons 348 ref subst nil 144 ref 1134 ref 4467 ref 1553 ref appTerm 10079 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 10079 remove nil cons cons nil cons nil cons cons 106 ref subst nil 4470 ref 2931 ref cons nil cons cons 10080 def 86 ref subst 10080 remove 151 ref subst 4475 ref nil 2465 ref 2931 remove cons nil cons cons 10081 def 136 ref subst proveHyp 10081 ref 86 ref subst 10081 remove 151 ref subst 4477 ref 2469 ref 3146 ref 3002 ref appThm 3814 ref appThm 1269 ref 10064 ref 45 ref appTerm 10082 def betaConv nil 67 ref 10077 remove cons 68 ref 10082 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 10064 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp subst 10083 def 2239 remove trans trans sym 105 ref eqMp proveHyp proveHyp eqMp nil 2464 ref 3154 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 4488 ref 3154 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 4489 ref 1553 ref appTerm absTerm appTerm nil cons cons 68 ref 4451 ref 1553 ref appTerm nil cons 10084 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 4490 ref 3154 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 10084 remove cons 68 ref 5760 ref 2416 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 5919 remove 68 ref 2417 ref cons nil cons 10085 def cons nil cons cons 10086 def 86 ref subst 10086 remove 151 ref subst 10062 ref 910 ref appTerm 10087 def betaConv nil 67 ref 10076 remove cons 68 ref 10087 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 10062 remove nil cons cons 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5760 remove 39 ref 41 ref 5928 remove absTerm 10088 def appTerm 10089 def appTerm nil cons cons 10085 ref cons nil cons cons 136 ref subst proveHyp 329 ref 5923 remove 10089 ref refl appThm nil 99 ref 10089 ref nil cons cons nil cons nil cons cons 2033 ref subst trans appThm 2416 ref refl appThm sym nil 144 ref 1134 ref 69 ref 10088 ref 1137 ref appTerm 10090 def appTerm 2416 ref appTerm 10091 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 10091 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10090 ref nil cons 10092 def cons 10085 ref cons nil cons cons 10093 def 86 ref subst 10093 remove 151 ref subst 10090 ref betaConv 10090 remove assume eqMp nil 67 ref 3004 remove 910 ref appTerm 10094 def nil cons 10095 def cons 10085 remove cons nil cons cons 10096 def 136 ref subst proveHyp 10096 ref 86 ref subst 10096 remove 151 ref subst 9626 remove 544 ref 4161 remove 10094 remove assume 10097 def appThm 940 ref trans appThm 1471 ref appThm 2238 remove 562 ref subst trans sym 10083 remove sym 3146 ref 10097 remove appThm 3814 ref appThm 4809 remove trans trans sym 105 ref eqMp eqMp eqMp 9627 remove proveHyp eqMp nil 112 ref 10095 remove cons 114 ref 2417 remove cons nil cons 10098 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 10092 remove cons 10098 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 10088 ref 45 ref appTerm appTerm 2416 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 10089 remove appTerm 2416 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10088 remove nil cons cons 10098 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 5945 remove 10098 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 10073 remove cons 114 ref 10074 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 1422 ref 1403 ref 288 ref 4 ref 812 ref 783 ref 10067 remove 5732 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 1429 ref 1403 ref 53 ref 18 ref 18 ref 18 ref 4499 ref "D" varType 10099 def nil cons 10100 def cons opType 10101 def 20 ref cons opType 10102 def 20 ref cons opType constTerm 10103 def refl "g" 10101 ref var 10104 def 292 ref 4 ref 53 ref 18 ref 4613 ref 20 ref cons opType 10105 def constTerm 10106 def refl 10107 def 4507 ref nil "t" 0 ref 720 ref 721 ref 10100 ref cons opType 10108 def nil cons 10109 def opType 10110 def var 730 ref 18 ref 731 ref 18 ref 0 ref 10100 ref opType 10111 def 10110 ref nil cons 10112 def cons opType nil cons cons opType constTerm 1408 ref appTerm 1389 ref 18 ref 10101 ref 18 ref 4506 ref 10111 ref nil cons 10113 def cons opType nil cons cons opType constTerm 10104 ref varTerm 10114 def appTerm 4507 ref varTerm 10115 def appTerm 10116 def appTerm 10117 def nil cons cons "s" 10110 ref var 1389 ref 18 ref 18 ref 720 ref 4514 remove opType 10118 def 10109 ref cons opType 10119 def 18 ref 0 ref 10118 ref nil cons 10120 def opType 10121 def 10112 remove cons opType nil cons cons opType constTerm 7609 ref 18 ref 18 ref 10119 ref 20 ref cons opType 10122 def 10119 ref nil cons 10123 def cons opType constTerm 10124 def "f" 10119 ref var 10125 def 54 ref 41 ref 4524 ref 4527 ref 17 ref 18 ref 10108 ref 18 ref 10108 ref 20 ref cons opType 10126 def nil cons cons opType constTerm 10127 def 10125 ref varTerm 760 ref 18 ref 1 ref 18 ref 4499 ref 10120 ref cons opType nil cons cons opType constTerm 10128 def 45 ref appTerm 4527 ref varTerm 10129 def appTerm 10130 def appTerm appTerm 760 ref 18 ref 721 ref 18 ref 10099 ref 10109 ref cons opType nil cons cons opType constTerm 10131 def 1412 ref appTerm 10132 def 10114 ref 10129 ref appTerm appTerm 10133 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 10134 def appTerm 730 ref 18 ref 3 ref 18 ref 4506 ref 10121 ref nil cons cons opType nil cons cons opType constTerm 28 ref appTerm 10115 ref appTerm 10135 def appTerm 10136 def nil cons cons nil cons cons nil cons cons "A" 10109 ref cons nil cons 218 ref cons 381 ref subst subst 33 ref 53 ref 18 ref 10126 ref 20 ref cons opType constTerm refl "x" 10108 ref var 10137 def 10137 ref 23 ref 42 ref 18 ref 10108 ref 18 ref 10110 ref 20 ref cons opType nil cons 10138 def cons opType constTerm 10137 remove varTerm 10139 def appTerm 10140 def 10136 ref appTerm appTerm 10140 remove 10117 ref appTerm appTerm absTerm 10141 def 10139 remove appTerm betaConv absThm appThm appThm 758 ref 4750 ref 53 ref 18 ref 18 ref 10099 ref 20 ref cons opType 10142 def 20 ref cons opType 10143 def constTerm 10144 def refl 10145 def "b" 10099 ref var 10146 def 10141 ref 10131 ref 4751 ref appTerm 10146 ref varTerm 10147 def appTerm 10148 def appTerm betaConv absThm appThm absThm appThm appThm nil "p" 10126 remove var 10141 remove nil cons cons nil cons nil cons cons 869 ref "B" 10100 ref cons nil cons 10149 def cons 218 ref cons 10150 def 780 ref subst subst eqMp trans 758 ref 4750 ref 10145 ref 10146 ref 33 ref nil "s" 10121 ref var 10135 ref nil cons cons 10125 remove 10134 ref nil cons cons "y" 10108 remove var 10148 ref nil cons cons nil cons cons cons nil cons cons "A" 10120 remove cons "B" 10109 ref cons nil cons cons 218 ref cons 1469 ref subst subst 33 ref 36 ref 18 ref 18 ref 10118 ref 20 ref cons opType 10151 def 20 ref cons opType constTerm refl "x" 10118 ref var 10152 def 10152 ref 75 ref 10127 ref 10148 remove appTerm 10153 def 10134 remove 10152 remove varTerm 10154 def appTerm appTerm appTerm 42 ref 18 ref 10118 ref 18 ref 10121 remove 20 ref cons opType nil cons cons opType constTerm 10154 ref appTerm 10135 remove appTerm appTerm absTerm 10155 def 10154 remove appTerm betaConv absThm appThm appThm 40 ref 452 ref 8649 ref "b" 4499 ref var 10156 def 10155 ref 10128 remove 453 ref appTerm 10156 ref varTerm 10157 def appTerm 10158 def appTerm betaConv absThm appThm absThm appThm appThm nil "p" 10151 remove var 10155 remove nil cons cons nil cons nil cons cons 4532 ref 3739 ref subst subst eqMp trans 40 ref 452 ref 8649 ref 10156 ref 544 ref 10153 remove refl nil 4527 ref 10157 ref nil cons cons 868 ref cons nil cons cons 10159 def 4527 ref 10127 ref 10124 remove "_11778" 10119 ref var 10160 def 54 ref 41 ref 4524 ref 4527 ref 10127 ref 10160 remove varTerm 10130 ref appTerm appTerm 10133 ref appTerm absTerm appTerm absTerm appTerm absTerm 10161 def appTerm 10162 def 10130 ref appTerm appTerm 10133 ref appTerm absTerm 10163 def 10129 ref appTerm 10164 def betaConv 41 ref 4524 ref 10163 ref appTerm 10165 def absTerm 10166 def 45 ref appTerm 10167 def betaConv 10161 ref 10162 remove appTerm 10168 def betaConv 10161 ref "_11776" 10118 ref var 10169 def 10131 ref 1406 ref 7609 ref 18 ref 18 ref 18 ref 10118 ref 2 ref cons opType 10170 def 20 ref cons opType 10170 ref nil cons cons opType constTerm "fn" 10170 remove var 10171 def 54 ref 452 ref 4524 ref 10156 ref 220 ref 10171 remove varTerm 10158 ref appTerm appTerm 453 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm 10172 def 10169 remove varTerm 10173 def appTerm appTerm appTerm 10114 ref 7609 ref 18 ref 18 ref 18 ref 10118 remove 4500 ref cons opType 10174 def 20 ref cons opType 10174 ref nil cons cons opType constTerm "fn" 10174 remove var 10175 def 54 ref 452 ref 4524 ref 10156 ref 4534 ref 10175 remove varTerm 10158 remove appTerm appTerm 10157 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm 10176 def 10173 remove appTerm appTerm appTerm absTerm 10177 def appTerm betaConv sym nil 144 ref 41 ref 4524 ref 4527 ref 10127 ref 10177 ref 10130 ref appTerm 10178 def appTerm 10133 remove appTerm 10179 def absTerm 10180 def appTerm 10181 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 10181 remove nil cons cons nil cons nil cons cons 106 ref subst nil 4565 ref 10180 remove nil cons cons nil cons nil cons cons 4566 ref subst 4527 ref nil 99 ref 10179 remove nil cons cons nil cons nil cons cons 106 ref subst 10178 remove betaConv 10127 ref "_11773" 4499 ref var 10182 def 10132 remove 10114 ref 10182 ref varTerm appTerm 10183 def appTerm absTerm 10129 ref appTerm 10184 def appTerm refl 10182 ref 10131 ref 1406 ref 10172 remove 10130 ref appTerm 10185 def appTerm appTerm 10186 def 10183 ref appTerm absTerm 10187 def 10176 remove 10130 remove appTerm 10188 def appTerm betaConv appThm 10127 remove refl 10184 remove betaConv appThm 10186 remove 10114 ref 10188 remove appTerm appTerm refl appThm trans 17 ref 18 ref 18 ref 4499 ref 10109 remove cons opType 10189 def 18 ref 10189 remove 20 ref cons opType nil cons cons opType constTerm 10190 def "_11772" 1 ref var 10191 def 10182 remove 10131 remove 1406 ref 10191 remove varTerm appTerm appTerm 10183 remove appTerm absTerm absTerm 10192 def 45 ref appTerm 10193 def appTerm refl 10192 ref 10185 remove appTerm betaConv appThm 10190 remove refl 10193 remove betaConv appThm 10187 remove refl appThm trans 10192 remove refl nil 10156 ref 10129 ref nil cons 10194 def cons 1479 ref cons nil cons cons 10195 def 4532 ref 759 ref 220 ref 7609 ref 18 ref 18 ref 3691 ref 20 ref cons opType 10196 def 3691 ref nil cons 10197 def cons opType constTerm "fn" 3691 remove var 10198 def 54 ref 452 ref 757 ref 759 ref 220 ref 10198 ref varTerm 765 ref appTerm appTerm 10199 def 453 ref appTerm absTerm appTerm absTerm appTerm absTerm 10200 def appTerm 10201 def 765 ref appTerm appTerm 453 ref appTerm absTerm 10202 def 764 ref appTerm 10203 def betaConv 452 ref 757 ref 10202 ref appTerm 10204 def absTerm 10205 def 453 ref appTerm 10206 def betaConv 10200 ref 10201 remove appTerm 10207 def betaConv 36 ref 18 ref 10196 ref 20 ref cons opType constTerm 10208 def refl 10198 remove 55 ref 452 ref 758 ref 759 ref 10199 remove refl 452 ref 759 ref 453 ref absTerm 10209 def absTerm 10210 def 453 ref appTerm betaConv 833 ref appThm 10209 remove 764 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm "C" 2 remove cons nil cons "_1399" 18 ref 1 ref 7541 remove cons opType var 10210 remove nil cons cons nil cons nil cons cons nil 8621 ref 452 ref 759 ref "_1399" 8620 remove var varTerm 453 ref appTerm 764 ref appTerm 10211 def absTerm 10212 def absTerm 10213 def nil cons cons nil cons nil cons cons 8621 ref 36 ref 18 ref 18 ref 18 ref 724 ref 4500 remove cons opType 10214 def 20 ref cons opType 10215 def 20 ref cons opType 10216 def constTerm 10217 def "fn" 10214 ref var 10218 def 54 ref 452 ref 757 ref 759 ref 4534 remove 10218 ref varTerm 10219 def 765 ref appTerm appTerm 10220 def 8622 ref 453 ref appTerm 764 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 10221 def 8622 remove appTerm 10222 def betaConv nil 8643 ref 10221 ref appTerm 10223 def axiom nil 67 ref 10223 remove nil cons cons 68 ref 10222 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 8670 remove 8669 ref 10221 remove nil cons cons 8759 remove cons nil cons cons 161 ref subst eqMp eqMp subst nil 67 ref 10217 ref 10218 ref 54 ref 452 ref 757 ref 759 ref 10220 ref 10213 remove 453 ref appTerm 10224 def 764 ref appTerm appTerm absTerm appTerm absTerm appTerm 10225 def absTerm 10226 def appTerm 10227 def nil cons cons 68 ref 10217 remove 10218 ref 54 ref 452 ref 757 ref 759 ref 10220 ref 10211 remove appTerm absTerm appTerm absTerm appTerm absTerm 10228 def appTerm 10229 def nil cons 10230 def cons nil cons 10231 def cons nil cons cons 136 ref subst nil "P" 10215 remove var 10232 def 10218 ref 69 ref 10226 ref 10219 ref appTerm 10233 def appTerm 10229 ref appTerm 10234 def absTerm nil cons cons nil cons nil cons cons "A" 10214 ref nil cons cons nil cons 10235 def 218 ref cons 326 ref subst subst 10218 remove nil 99 ref 10234 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10233 ref nil cons 10236 def cons 10231 ref cons nil cons cons 10237 def 86 ref subst 10237 remove 151 ref subst 10233 ref betaConv 10233 remove assume eqMp nil 67 ref 10225 ref nil cons 10238 def cons 10231 remove cons nil cons cons 10239 def 136 ref subst proveHyp 10239 ref 86 ref subst 10239 remove 151 ref subst 10228 ref 10219 ref appTerm betaConv sym 55 ref 452 ref 758 ref 759 ref 10220 remove refl 10224 remove betaConv 833 ref appThm 10212 remove 764 ref appTerm betaConv trans appThm absThm appThm absThm appThm 10225 remove assume eqMp eqMp 10235 ref 10232 ref 10228 remove nil cons cons "x" 10214 remove var 10240 def 10219 remove nil cons cons nil cons cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 10238 remove cons 114 ref 10230 remove cons nil cons 10241 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 10236 remove cons 10241 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 53 ref 10216 remove constTerm 10240 ref 69 ref 10226 ref 10240 remove varTerm appTerm appTerm 10229 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 10227 remove appTerm 10229 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 10235 remove 10232 remove 10226 remove nil cons cons 10241 remove cons nil cons cons 929 ref subst eqMp eqMp proveHyp 10242 def subst eqMp nil 67 ref 10208 remove 10200 ref appTerm nil cons cons 68 ref 10207 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 10197 remove cons nil cons "p" 10196 remove var 10200 remove nil cons cons nil cons nil cons cons nil 67 ref 39 ref 57 ref appTerm 10243 def nil cons 10244 def cons 10245 def 68 ref 7625 ref 91 ref appTerm 10246 def nil cons 10247 def cons nil cons 10248 def cons nil cons cons 10249 def 86 ref subst 10249 remove 151 ref subst 40 ref nil "t" 37 ref var 10250 def 142 ref cons nil cons nil cons cons 308 remove "B" 20 ref cons nil cons cons 218 ref cons 10251 def "t" 1402 ref var 10252 def 17 ref 18 ref 1402 ref 1420 ref nil cons cons opType constTerm 10253 def 41 ref 10252 ref varTerm 10254 def 45 ref appTerm absTerm 10255 def appTerm 10254 ref appTerm 10256 def absTerm 10257 def 10254 ref appTerm 10258 def betaConv nil 1422 ref 10257 ref appTerm 10259 def axiom 10260 def nil 67 ref 10259 remove nil cons cons 68 ref 10258 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 10257 remove nil cons cons 1454 ref 10254 ref nil cons cons nil cons 10261 def cons nil cons cons 161 ref subst eqMp eqMp subst subst appThm nil 99 ref 10244 ref cons nil cons nil cons cons 10262 def 106 ref subst 10243 ref assume eqMp trans sym 105 ref eqMp nil 67 ref 60 remove nil cons cons 10248 ref cons nil cons cons 136 ref subst proveHyp nil 144 ref 142 remove cons 114 ref 10247 remove cons nil cons 10263 def cons nil cons cons nil 583 remove 68 ref 69 ref 39 ref 41 ref 148 ref absTerm 10264 def appTerm 10265 def appTerm 118 ref appTerm 10266 def nil cons 10267 def cons nil cons 10268 def cons nil cons cons 10269 def 348 ref subst 10269 ref 86 ref subst 10269 remove 151 ref subst nil 144 ref 41 ref 69 ref 10264 ref 45 ref appTerm 10270 def appTerm 118 remove appTerm 10271 def absTerm 10272 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 10271 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10270 ref nil cons 10273 def cons 585 ref cons nil cons cons 10274 def 86 ref subst 10274 remove 151 ref subst 10270 ref betaConv 10275 def 10270 remove assume eqMp 588 remove proveHyp 591 remove eqMp eqMp nil 112 ref 10273 remove cons 593 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 10272 remove appTerm nil cons cons 10268 remove cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10264 remove nil cons cons 10276 def 593 ref cons nil cons cons 929 ref subst eqMp eqMp nil 592 remove 114 ref 10267 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 579 remove 10266 ref appTerm nil cons cons 68 ref 69 ref 10266 ref appTerm 578 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 10267 ref cons 68 ref 582 ref cons nil cons cons nil cons cons 10277 def 86 ref subst 10277 remove 151 ref subst nil 590 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 576 remove nil cons cons nil cons nil cons cons 106 ref subst 587 ref 86 ref subst 587 remove 151 ref subst 10275 remove sym 148 ref assume eqMp 309 ref 10276 remove 311 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 10265 remove nil cons cons 585 remove cons nil cons cons 136 ref subst 10266 remove assume eqMp proveHyp eqMp nil 112 ref 149 remove cons 593 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 112 ref 10267 remove cons 114 ref 582 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp subst nil 144 ref 41 ref 570 ref 10246 ref appTerm 10278 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 10278 remove nil cons cons nil cons nil cons cons 106 ref subst nil 9522 ref 10248 remove cons nil cons cons 10279 def 86 ref subst 10279 remove 151 ref subst nil 99 ref 7628 ref cons nil cons nil cons cons 106 ref subst nil 9522 ref 68 ref 7628 remove cons 10280 def nil cons cons nil cons cons 136 ref subst 41 ref 570 ref 7624 ref appTerm absTerm 10281 def 45 ref appTerm 10282 def betaConv 56 ref 54 ref 10281 ref appTerm 10283 def absTerm 10284 def 57 ref appTerm 10285 def betaConv nil 65 ref 10284 ref appTerm 10286 def axiom nil 67 ref 10286 remove nil cons cons 68 ref 10285 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 10284 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10283 remove nil cons cons 68 ref 10282 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10281 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp eqMp nil 6810 remove 10263 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 112 ref 10244 ref cons 10263 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 10243 ref appTerm 10287 def 10246 remove appTerm nil cons cons 68 ref 23 ref 10287 ref 7624 remove appTerm appTerm 10288 def 10287 ref 91 ref appTerm appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil "q'" 19 ref var 10289 def 370 remove cons nil cons nil cons cons 10243 ref refl nil 67 ref 23 ref 10243 ref appTerm 10290 def 10243 remove appTerm nil cons cons 68 ref 69 ref 10287 ref 7625 remove 10289 ref varTerm 10291 def appTerm 10292 def appTerm appTerm 10288 ref 10287 remove 10291 ref appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil "p'" 19 ref var 10293 def 10244 remove cons nil cons nil cons cons 10289 ref 69 ref 10290 remove 10293 ref varTerm 10294 def appTerm appTerm 69 ref 69 ref 10294 ref appTerm 10295 def 10292 remove appTerm appTerm 10288 remove 10295 ref 10291 ref appTerm 10296 def appTerm appTerm appTerm absTerm 10297 def 10291 ref appTerm 10298 def betaConv 10293 ref 198 ref 10297 ref appTerm 10299 def absTerm 10300 def 10294 ref appTerm 10301 def betaConv nil 10280 remove 10245 remove nil cons cons nil cons cons nil 201 ref 10293 ref 198 ref 10289 ref 69 ref 330 ref 10294 ref appTerm 10302 def appTerm 69 ref 10295 ref 23 ref 72 ref appTerm 10291 ref appTerm 10303 def appTerm 10304 def appTerm 74 remove 10296 ref appTerm 10305 def appTerm 10306 def appTerm 10307 def absTerm 10308 def appTerm 10309 def absTerm nil cons cons nil cons nil cons cons 581 ref subst 10293 remove nil 99 ref 10309 remove nil cons cons nil cons nil cons cons 106 ref subst nil 201 ref 10308 remove nil cons cons nil cons nil cons cons 581 remove subst 10289 remove nil 99 ref 10307 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10302 remove nil cons 10310 def cons 10311 def 68 ref 10306 remove nil cons 10312 def cons nil cons cons nil cons cons 10313 def 86 ref subst 10313 remove 151 ref subst nil 67 ref 10304 ref nil cons 10314 def cons 68 ref 10305 remove nil cons 10315 def cons nil cons cons nil cons cons 10316 def 86 ref subst 10316 remove 151 ref subst nil 339 ref 68 ref 10296 ref nil cons 10317 def cons nil cons cons nil cons cons 10318 def 348 ref subst 10318 ref 86 ref subst 10318 remove 151 ref subst nil 67 ref 10294 ref nil cons 10319 def cons 10320 def 68 ref 10291 ref nil cons 10321 def cons nil cons 10322 def cons nil cons cons 10323 def 86 ref subst 10323 ref 151 ref subst nil 10311 ref 68 ref 71 ref 10294 remove appTerm 10324 def nil cons 10325 def cons nil cons cons nil cons cons 136 ref subst nil 67 ref 100 remove cons 68 ref 10319 ref cons nil cons cons nil cons cons 10326 def 928 ref subst eqMp 10327 def nil 67 ref 10325 ref cons 10328 def 10322 ref cons nil cons cons 10329 def 136 ref subst proveHyp nil 10311 remove 68 ref 10295 remove 70 ref appTerm 10330 def nil cons 10331 def cons nil cons cons nil cons cons 136 ref subst 10326 ref nil 923 remove 341 remove cons nil cons cons 10332 def 86 ref subst 10332 remove 151 ref subst 342 remove eqMp nil 926 remove 345 remove cons nil cons cons 127 ref subst deductAntisym eqMp 10333 def subst eqMp 10334 def nil 67 ref 10331 ref cons 10335 def 68 ref 69 ref 10324 ref appTerm 10336 def 10291 ref appTerm nil cons 10337 def cons nil cons cons nil cons cons 10338 def 136 ref subst proveHyp 10338 ref 86 ref subst 10338 remove 151 ref subst 10329 ref 86 ref subst 10329 remove 151 ref subst nil 10320 ref 343 remove cons nil cons cons 136 ref subst 10330 remove assume eqMp 10339 def 10326 remove 136 ref subst 10324 remove assume eqMp 10340 def 10339 remove proveHyp proveHyp nil 10320 remove 68 ref 10303 remove nil cons 10341 def cons nil cons cons nil cons cons 136 ref subst 10304 remove assume eqMp 10342 def nil 67 ref 10341 remove cons 10343 def 68 ref 274 remove 10291 ref appTerm 10344 def nil cons 10345 def cons nil cons cons nil cons cons 136 ref subst proveHyp nil 333 ref 10322 ref cons nil cons cons 10346 def 928 remove subst eqMp 10347 def nil 67 ref 10345 ref cons 10348 def 10322 remove cons nil cons cons 10349 def 136 ref subst proveHyp 10342 remove nil 10343 remove 68 ref 69 ref 10291 ref appTerm 72 ref appTerm 10350 def nil cons 10351 def cons nil cons cons nil cons cons 136 ref subst proveHyp 10346 ref 10333 remove subst eqMp 10352 def nil 67 ref 10351 ref cons 10353 def 68 ref 69 ref 10344 ref appTerm 10354 def 10291 remove appTerm nil cons 10355 def cons nil cons cons nil cons cons 10356 def 136 ref subst proveHyp 10356 ref 86 ref subst 10356 remove 151 ref subst 10349 ref 86 ref subst 10349 remove 151 ref subst 135 remove 10346 remove 136 ref subst 10344 remove assume eqMp proveHyp eqMp nil 112 ref 10345 remove cons 10357 def 114 ref 10321 ref cons nil cons 10358 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 10351 remove cons 10359 def 114 ref 10355 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 112 ref 10325 remove cons 10360 def 10358 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 10331 remove cons 10361 def 114 ref 10337 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 10319 ref cons 10358 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 344 ref 114 ref 10317 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 73 ref appTerm 10362 def 10296 ref appTerm nil cons cons 68 ref 69 ref 10296 ref appTerm 73 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 10317 ref cons 924 remove cons nil cons cons 10363 def 86 ref subst 10363 remove 151 ref subst 86 ref 151 ref 10327 remove nil 10328 remove 334 ref cons nil cons cons 10364 def 136 ref subst proveHyp 10334 remove nil 10335 remove 68 ref 10336 remove 72 ref appTerm nil cons 10365 def cons nil cons cons nil cons cons 10366 def 136 ref subst proveHyp 10366 ref 86 ref subst 10366 remove 151 ref subst 10364 ref 86 ref subst 10364 remove 151 ref subst 10340 remove 10347 remove nil 10348 remove 334 ref cons nil cons cons 10367 def 136 ref subst proveHyp 10352 remove nil 10353 remove 68 ref 10354 remove 72 ref appTerm nil cons 10368 def cons nil cons cons nil cons cons 10369 def 136 ref subst proveHyp 10369 ref 86 ref subst 10369 remove 151 ref subst 10367 ref 86 ref subst 10367 remove 151 ref subst 10323 remove 136 ref subst 10296 remove assume eqMp nil 67 ref 10321 ref cons 334 remove cons nil cons cons 136 ref subst 10350 remove assume eqMp proveHyp eqMp nil 10357 remove 115 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 10359 remove 114 ref 10368 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp proveHyp eqMp nil 10360 remove 115 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 10361 remove 114 ref 10365 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 128 remove deductAntisym eqMp eqMp nil 112 ref 10317 remove cons 927 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 10314 remove cons 114 ref 10315 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 10310 remove cons 114 ref 10312 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp subst nil 67 ref 198 ref 10300 ref appTerm nil cons cons 68 ref 10301 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 10300 remove nil cons cons 166 ref 10319 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10299 remove nil cons cons 68 ref 10298 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 10297 remove nil cons cons 166 ref 10321 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp subst eqMp subst eqMp 10262 remove 709 ref subst trans sym 105 ref eqMp 10370 def subst eqMp eqMp nil 67 ref 54 ref 10205 ref appTerm nil cons cons 68 ref 10206 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10205 remove nil cons cons 868 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10204 remove nil cons cons 68 ref 10203 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 10202 remove nil cons cons 874 ref cons nil cons cons 161 ref subst eqMp eqMp sym 10371 def subst subst appThm eqMp 10195 remove 4532 ref 759 ref 853 ref 7609 ref 18 ref 18 ref 3786 ref 20 ref cons opType 10372 def 3786 ref nil cons 10373 def cons opType constTerm "fn" 3786 remove var 10374 def 54 ref 452 ref 757 ref 759 ref 853 ref 10374 ref varTerm 765 ref appTerm appTerm 10375 def 764 ref appTerm absTerm appTerm absTerm appTerm absTerm 10376 def appTerm 10377 def 765 ref appTerm appTerm 764 ref appTerm absTerm 10378 def 764 ref appTerm 10379 def betaConv 452 ref 757 ref 10378 ref appTerm 10380 def absTerm 10381 def 453 ref appTerm 10382 def betaConv 10376 ref 10377 remove appTerm 10383 def betaConv 36 ref 18 ref 10372 ref 20 ref cons opType constTerm 10384 def refl 10374 remove 55 ref 452 ref 758 ref 759 ref 10375 remove refl 452 ref 759 ref 764 ref absTerm 10385 def absTerm 10386 def 453 ref appTerm betaConv 833 ref appThm 10385 remove 764 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm "C" 722 ref cons nil cons "_1399" 18 ref 1 ref 3669 remove cons opType var 10386 remove nil cons cons nil cons nil cons cons 10242 remove subst eqMp nil 67 ref 10384 remove 10376 ref appTerm nil cons cons 68 ref 10383 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp "A" 10373 remove cons nil cons "p" 10372 remove var 10376 remove nil cons cons nil cons nil cons cons 10370 ref subst eqMp eqMp nil 67 ref 54 ref 10381 ref appTerm nil cons cons 68 ref 10382 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10381 remove nil cons cons 868 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10380 remove nil cons cons 68 ref 10379 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 10378 remove nil cons cons 874 ref cons nil cons cons 161 ref subst eqMp eqMp sym 10387 def subst subst appThm eqMp sym trans eqMp absThm eqMp eqMp absThm eqMp eqMp "A" 10123 remove cons nil cons 10388 def "P" 10122 ref var 10161 ref nil cons 10389 def cons "x" 10119 remove var 10177 remove nil cons cons nil cons cons nil cons cons 594 ref subst proveHyp nil 67 ref 36 ref 18 ref 10122 ref 20 ref cons opType constTerm 10161 remove appTerm nil cons cons 68 ref 10168 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil "p" 10122 remove var 10389 remove cons nil cons nil cons cons 10388 remove 218 ref cons 10370 ref subst subst eqMp eqMp nil 67 ref 54 ref 10166 ref appTerm nil cons cons 68 ref 10167 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10166 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10165 remove nil cons cons 68 ref 10164 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 4565 ref 10163 remove nil cons cons 4526 ref 10194 remove cons nil cons 10390 def cons nil cons cons 161 ref subst eqMp eqMp subst appThm nil "b'" 10099 ref var 10114 ref 10157 ref appTerm 10391 def nil cons cons "a'" 721 ref var 10392 def 9915 remove cons nil cons cons nil cons cons 10150 ref 876 ref subst subst trans appThm 10159 remove 4532 remove 1537 ref subst subst appThm absThm appThm absThm appThm trans appThm nil "t" 10111 ref var 10393 def 10116 remove nil cons cons 2405 ref "y" 10099 ref var 10147 ref nil cons cons 10394 def 872 ref 4751 ref nil cons 10395 def cons nil cons 10396 def cons cons cons nil cons cons 10150 remove 1537 ref subst subst 544 ref nil 795 ref 10395 ref cons nil cons nil cons cons 1469 ref subst appThm nil 4513 ref 10115 ref nil cons 10397 def cons "f" 10101 ref var 10114 ref nil cons cons 10394 remove nil cons cons cons nil cons cons 4518 remove 10149 remove cons 218 ref cons 1469 ref subst subst appThm trans appThm absThm appThm absThm appThm trans absThm appThm absThm appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 10103 ref 10104 ref 288 ref 4 ref 10106 ref 4507 ref 757 ref 4750 ref 10144 ref 10146 ref 23 ref 39 ref 452 ref 8613 ref 10156 ref 75 ref 75 ref 853 ref 4751 ref appTerm 10398 def 9897 remove appTerm 10399 def appTerm 10400 def 17 ref 18 ref 10099 ref 10142 ref nil cons 10401 def cons opType constTerm 10402 def 10147 ref appTerm 10403 def 10391 remove appTerm 10404 def appTerm 10405 def appTerm 1541 remove 8615 ref 10157 ref appTerm 10115 ref appTerm 10406 def appTerm 10407 def appTerm 10408 def absTerm 10409 def appTerm absTerm 10410 def appTerm 10411 def appTerm 75 ref 39 ref 41 ref 75 ref 10398 ref 1412 ref appTerm 10412 def appTerm 49 ref appTerm 10413 def absTerm 10414 def appTerm 10415 def appTerm 10416 def 8613 ref 4526 ref 75 ref 10403 ref 10114 ref 4528 ref appTerm appTerm 10417 def appTerm 8615 ref 4528 ref appTerm 10418 def 10115 ref appTerm 10419 def appTerm 10420 def absTerm 10421 def appTerm 10422 def appTerm 10423 def appTerm 10424 def absTerm 10425 def appTerm 10426 def absTerm 10427 def appTerm 10428 def absTerm 10429 def appTerm 10430 def absTerm 10431 def appTerm 10432 def absTerm 10433 def appTerm 10434 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 10434 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 10102 remove var 10433 remove nil cons cons nil cons nil cons cons "A" 10101 remove nil cons 10435 def cons nil cons 218 ref cons 326 ref subst subst 10104 ref nil 99 ref 10432 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 10431 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 10430 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 4613 ref var 10436 def 10429 remove nil cons cons nil cons nil cons cons "A" 4508 ref cons nil cons 10437 def 218 ref cons 10438 def 326 ref subst 10439 def subst 4507 ref nil 99 ref 10428 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 10427 remove nil cons cons nil cons nil cons cons 898 ref subst 4750 ref nil 99 ref 10426 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 10142 ref var 10440 def 10425 remove nil cons cons nil cons nil cons cons "A" 10100 remove cons nil cons 10441 def 218 ref cons 10442 def 326 ref subst 10443 def subst 10146 remove nil 99 ref 10424 ref nil cons 10444 def cons nil cons nil cons cons 106 ref subst nil 67 ref 10444 remove cons nil cons nil cons cons 330 ref refl 10445 def nil 99 ref 34 ref 70 ref appTerm 10446 def nil cons 10447 def cons nil cons nil cons cons 1077 ref subst appThm sym 10445 remove 101 ref 210 ref subst appThm nil 1580 ref nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp subst sym nil 67 ref 34 ref 10424 remove appTerm 10448 def nil cons 10449 def cons 1072 ref cons nil cons cons 10450 def 86 ref subst 10450 remove 151 ref subst nil 67 ref 10411 remove nil cons cons 68 ref 10423 remove nil cons cons nil cons cons nil cons cons nil 67 ref 330 ref 171 ref appTerm 10451 def nil cons 10452 def cons 10453 def 68 ref 23 ref 34 ref 331 ref appTerm appTerm 251 ref 76 ref 34 ref 72 ref appTerm 10454 def appTerm appTerm 75 ref 10446 ref appTerm 72 ref appTerm appTerm appTerm nil cons 10455 def cons nil cons 10456 def cons nil cons cons 10457 def 86 ref subst 10457 remove 151 ref subst 23 ref "_554" 19 ref var 10458 def 23 ref 34 ref 23 ref 10458 remove varTerm 10459 def appTerm 72 ref appTerm appTerm appTerm 251 ref 75 ref 10459 ref appTerm 10454 ref appTerm appTerm 75 ref 34 ref 10459 remove appTerm appTerm 72 ref appTerm appTerm appTerm absTerm 10460 def 70 ref appTerm 10461 def appTerm refl 10462 def 10460 ref 171 ref appTerm betaConv appThm 33 ref 10461 remove betaConv appThm 10463 def 23 ref 34 ref 188 remove 72 ref appTerm 10464 def appTerm appTerm 251 ref 545 ref 10454 ref appTerm appTerm 5432 remove 72 ref appTerm appTerm appTerm refl appThm trans 10460 remove refl 10465 def 10451 remove assume 10466 def appThm eqMp sym 33 ref 35 ref 109 ref 204 ref subst 10467 def appThm 109 ref 210 ref subst 10468 def trans appThm 1259 ref nil 99 ref 10454 ref nil cons 10469 def cons nil cons nil cons cons 10470 def 549 ref subst appThm 5435 remove 81 ref appThm 109 ref 562 ref subst 10471 def trans appThm 109 ref 1308 ref subst trans appThm nil 1596 ref nil cons cons 225 ref subst 10472 def trans sym 105 ref eqMp eqMp eqMp nil 112 ref 10452 ref cons 10473 def 114 ref 10455 ref cons nil cons 10474 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 330 remove 91 ref appTerm 10475 def nil cons 10476 def cons 10477 def 10456 remove cons nil cons cons 10478 def 86 ref subst 10478 remove 151 ref subst 10462 remove "_552" 19 ref var 10479 def 23 ref 34 ref 23 ref 10479 remove varTerm 10480 def appTerm 72 ref appTerm appTerm appTerm 251 ref 75 ref 10480 ref appTerm 10454 ref appTerm appTerm 75 ref 34 ref 10480 remove appTerm appTerm 72 ref appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 10463 remove 23 ref 34 ref 235 remove 72 ref appTerm 10481 def appTerm appTerm 251 ref 558 ref 10454 ref appTerm appTerm 5447 remove 72 ref appTerm appTerm appTerm refl appThm trans 10465 remove 10475 remove assume 10482 def appThm eqMp sym 33 ref 35 ref 109 ref 242 ref subst 10483 def appThm appThm 1259 ref 10470 ref 562 ref subst appThm 5449 remove 81 remove appThm 109 remove 549 ref subst 10484 def trans appThm 10470 ref 1186 ref subst trans appThm nil 166 ref 10469 remove cons nil cons nil cons cons 225 ref subst 10485 def trans sym 105 ref eqMp eqMp eqMp nil 112 ref 10476 remove cons 10486 def 10474 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 ref 70 ref appTerm 10487 def betaConv 255 ref nil 256 ref 68 ref 10487 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 ref 1580 ref cons nil cons cons 161 ref subst eqMp eqMp 10488 def nil 10486 ref 114 ref 10452 remove cons 10489 def 261 ref 10455 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp subst 1259 ref 544 ref 40 ref 452 ref 8649 ref 10156 ref 544 ref 544 ref 10399 ref refl appThm 10404 ref refl appThm appThm 5216 remove 10406 ref refl appThm appThm absThm appThm absThm appThm appThm nil 67 ref 10415 ref nil cons 10490 def cons 10491 def 68 ref 10422 remove nil cons cons nil cons 10492 def cons nil cons cons nil 10453 ref 68 ref 23 ref 34 ref 77 ref appTerm appTerm 251 ref 10446 ref appTerm 10454 ref appTerm appTerm nil cons 10493 def cons nil cons 10494 def cons nil cons cons 10495 def 86 ref subst 10495 remove 151 ref subst 23 ref "_534" 19 ref var 10496 def 23 ref 34 ref 75 ref 10496 remove varTerm 10497 def appTerm 72 ref appTerm appTerm appTerm 251 ref 34 ref 10497 remove appTerm appTerm 10454 ref appTerm appTerm absTerm 10498 def 70 ref appTerm 10499 def appTerm refl 10500 def 10498 ref 171 ref appTerm betaConv appThm 33 ref 10499 remove betaConv appThm 10501 def 23 ref 34 ref 545 ref 72 ref appTerm appTerm appTerm 3957 ref 10454 ref appTerm appTerm refl appThm trans 10498 remove refl 10502 def 10466 ref appThm eqMp sym 33 ref 35 ref 10484 remove appThm 400 ref trans appThm 3960 ref 10454 ref refl 10503 def appThm 10470 ref 1351 ref subst trans appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 10473 ref 114 ref 10493 ref cons nil cons 10504 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 10477 ref 10494 remove cons nil cons cons 10505 def 86 ref subst 10505 remove 151 ref subst 10500 remove "_532" 19 ref var 10506 def 23 ref 34 ref 75 ref 10506 remove varTerm 10507 def appTerm 72 ref appTerm appTerm appTerm 251 ref 34 ref 10507 remove appTerm appTerm 10454 ref appTerm appTerm absTerm 91 ref appTerm betaConv appThm 10501 remove 23 ref 34 ref 558 ref 72 ref appTerm appTerm appTerm 3968 ref 10454 ref appTerm appTerm refl appThm trans 10502 remove 10482 ref appThm eqMp sym 33 ref 35 ref 10471 remove appThm appThm 3969 ref 10503 ref appThm 10470 ref 1308 ref subst trans appThm 10485 ref trans sym 105 ref eqMp eqMp eqMp nil 10486 ref 10504 remove cons nil cons cons 127 ref subst deductAntisym eqMp 10488 ref nil 10486 ref 10489 ref 261 ref 10493 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp 10508 def subst 1259 ref nil 144 ref 10414 ref nil cons 10509 def cons 10510 def nil cons nil cons cons 33 ref 35 ref 40 ref nil 10250 remove 145 remove nil cons 10511 def cons nil cons nil cons cons 10251 ref 10252 ref 10253 ref 10254 ref appTerm 10255 remove appTerm 10512 def absTerm 10513 def 10254 remove appTerm 10514 def betaConv 1429 ref 10252 remove 10512 remove assume sym 10256 remove assume sym deductAntisym absThm appThm 10260 remove eqMp nil 67 ref 1422 ref 10513 ref appTerm nil cons cons 68 ref 10514 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 10513 remove nil cons cons 10261 remove cons nil cons cons 161 ref subst eqMp eqMp subst subst appThm appThm appThm 54 ref 41 ref 34 ref 148 remove appTerm absTerm appTerm refl appThm sym nil 56 ref 10511 remove cons nil cons nil cons cons 162 ref subst eqMp 10515 def subst 55 ref 41 ref 35 ref 10414 remove 45 ref appTerm 10516 def betaConv 10517 def appThm nil 67 ref 10412 ref nil cons 10518 def cons 1706 ref cons nil cons cons 10508 ref subst trans absThm appThm trans appThm nil 4565 ref 10421 ref nil cons 10519 def cons nil cons nil cons cons 4520 ref 10515 ref subst 10520 def subst 4525 ref 4526 ref 35 ref 10421 remove 4528 ref appTerm betaConv 10521 def appThm nil 67 ref 10417 ref nil cons cons 68 ref 10419 ref nil cons 10522 def cons nil cons 10523 def cons nil cons cons 10508 ref subst trans absThm appThm trans appThm trans appThm appThm 544 ref nil 144 ref 10410 ref nil cons 10524 def cons nil cons nil cons cons 10515 remove subst 55 ref 452 ref 35 ref 10410 remove 453 ref appTerm betaConv 10525 def appThm nil 4565 ref 10409 ref nil cons 10526 def cons nil cons nil cons cons 10520 remove subst 4525 ref 10156 ref 35 ref 10409 remove 10157 ref appTerm betaConv 10527 def appThm nil 67 ref 10405 remove nil cons cons 68 ref 10407 remove nil cons cons nil cons cons nil cons cons 10508 ref subst 1259 ref nil 67 ref 10399 ref nil cons cons 68 ref 10404 ref nil cons cons nil cons cons nil cons cons 10508 ref subst appThm nil 67 ref 1558 remove cons 10528 def 68 ref 10406 ref nil cons cons nil cons cons nil cons cons 10508 remove subst appThm trans trans absThm appThm trans trans absThm appThm trans appThm 544 ref 40 ref 41 ref 544 ref 10412 ref refl appThm 634 ref appThm absThm appThm appThm 8649 ref 4526 ref 544 ref 10417 ref refl appThm 10419 ref refl 10529 def appThm absThm appThm 10530 def appThm appThm appThm trans 1259 ref 33 ref 544 ref 40 ref 452 ref 10525 ref absThm appThm appThm 251 ref 54 ref 41 ref 251 ref 34 ref 10412 ref appTerm appTerm 50 ref appTerm absTerm 10531 def appTerm 10532 def appTerm 4524 ref 4526 ref 251 ref 34 ref 10417 remove appTerm appTerm 34 ref 10419 ref appTerm appTerm absTerm 10533 def appTerm 10534 def appTerm 10535 def refl 10536 def appThm appThm 40 ref 452 ref 544 ref 10525 remove appThm 10536 ref appThm absThm appThm appThm nil 56 ref 10524 remove cons 68 ref 10535 ref nil cons 10537 def cons nil cons 10538 def cons nil cons cons 2939 ref subst eqMp 40 ref 452 ref 33 ref 544 ref 8649 ref 10156 ref 10527 ref absThm appThm appThm 10536 ref appThm appThm 8649 ref 10156 ref 544 ref 10527 remove appThm 10536 remove appThm absThm appThm appThm nil 8650 ref 10526 remove cons 10538 remove cons nil cons cons 4520 ref 2939 ref subst subst eqMp absThm appThm trans appThm 75 ref 54 ref 452 ref 4524 ref 10156 ref 251 ref 251 ref 34 ref 10399 remove appTerm appTerm 34 ref 10404 ref appTerm 10539 def appTerm appTerm 1561 remove 34 ref 10406 ref appTerm 10540 def appTerm appTerm absTerm appTerm absTerm 10541 def appTerm 10542 def appTerm 10543 def refl 10544 def 33 ref 544 ref 40 ref 41 ref 10517 ref absThm appThm appThm 10530 ref appThm appThm 40 ref 41 ref 544 ref 10517 ref appThm 10530 remove appThm absThm appThm appThm nil 56 ref 10509 remove cons 10492 remove cons nil cons cons 2939 remove subst eqMp 40 ref 41 ref 33 ref 75 ref 10413 ref appTerm 10545 def refl 10546 def 8649 ref 4526 ref 10521 ref absThm appThm appThm appThm 8649 ref 4526 ref 10546 remove 10521 remove appThm absThm appThm appThm nil 8612 ref 10519 remove cons 67 ref 10413 remove nil cons 10547 def cons 10548 def nil cons cons nil cons cons 4520 ref 1568 ref 23 ref 76 ref 5583 remove appTerm appTerm 39 ref 41 ref 76 ref 1571 remove appTerm absTerm appTerm appTerm absTerm 10549 def 1570 remove appTerm 10550 def betaConv 67 ref 65 ref 10549 ref appTerm 10551 def absTerm 10552 def 70 ref appTerm 10553 def betaConv nil 198 ref 10552 ref appTerm 10554 def axiom nil 67 ref 10554 remove nil cons cons 68 ref 10553 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 10552 remove nil cons cons 1580 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10551 remove nil cons cons 68 ref 10550 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 10549 remove nil cons cons 1581 remove cons nil cons cons 161 ref subst eqMp eqMp 10555 def subst 10556 def subst eqMp absThm appThm trans appThm 33 ref 10544 ref 40 ref 41 ref 41 ref 8613 ref 4526 ref 10545 remove 10420 ref appTerm 10557 def absTerm 10558 def appTerm absTerm 10559 def 45 ref appTerm betaConv 10560 def absThm appThm appThm appThm 40 ref 41 ref 10544 ref 10560 remove appThm absThm appThm appThm nil 1568 ref 10559 remove nil cons cons 67 ref 10542 remove nil cons 10561 def cons 10562 def nil cons 10563 def cons nil cons cons 10555 ref subst eqMp 40 ref 41 ref 33 ref 10544 ref 8649 ref 4526 ref 10558 ref 4528 ref appTerm betaConv 10564 def absThm appThm appThm appThm 8649 ref 4526 ref 10544 remove 10564 remove appThm absThm appThm appThm nil 8612 ref 10558 remove nil cons cons 10563 remove cons nil cons cons 10556 remove subst eqMp absThm appThm trans trans appThm 33 ref 1259 ref 40 ref 452 ref 452 ref 8613 ref 10156 ref 75 ref 10408 remove appTerm 10535 ref appTerm 10565 def absTerm 10566 def appTerm absTerm 10567 def 453 ref appTerm betaConv 10568 def absThm appThm appThm 40 ref 452 ref 41 ref 8613 ref 4526 ref 10543 ref 10557 remove appTerm absTerm appTerm absTerm 10569 def 453 ref appTerm betaConv 10570 def absThm appThm appThm appThm 40 ref 452 ref 1259 ref 10568 remove appThm 10570 remove appThm absThm appThm appThm nil 56 ref 10567 remove nil cons cons 1568 ref 10569 remove nil cons cons nil cons cons nil cons cons 5598 ref subst eqMp 40 ref 452 ref 33 ref 1259 ref 8649 ref 10156 ref 10566 ref 10157 ref appTerm betaConv 10571 def absThm appThm appThm 8649 ref 10156 ref 4526 ref 10543 ref 75 ref 10400 remove 1540 ref appTerm appTerm 10572 def 10420 remove appTerm appTerm absTerm 10573 def 10157 remove appTerm betaConv 10574 def absThm appThm appThm appThm 8649 remove 10156 ref 1259 ref 10571 remove appThm 10574 remove appThm absThm appThm appThm nil 8650 ref 10566 remove nil cons cons 8612 ref 10573 remove nil cons cons nil cons cons nil cons cons 4520 ref 5598 remove subst subst eqMp absThm appThm trans trans trans 10448 remove assume eqMp nil 67 ref 39 ref 452 ref 8613 ref 10156 ref 251 ref 10565 remove appTerm 10543 ref 10572 remove 75 ref 10404 ref appTerm 10406 ref appTerm 10575 def appTerm appTerm appTerm absTerm appTerm absTerm 10576 def appTerm 10577 def nil cons cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 144 ref 846 ref 69 ref 10576 ref 848 ref appTerm 10578 def appTerm 171 ref appTerm 10579 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 846 ref nil 99 ref 10579 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10578 ref nil cons 10580 def cons 1072 ref cons nil cons cons 10581 def 86 ref subst 10581 remove 151 ref subst 10578 ref betaConv 10578 remove assume eqMp nil 67 ref 8613 ref 10156 ref 251 ref 75 ref 75 ref 75 ref 10398 ref 1406 ref 848 ref appTerm 10582 def appTerm 10583 def appTerm 10584 def 10404 remove appTerm appTerm 75 ref 44 ref 848 ref appTerm 28 ref appTerm 10585 def appTerm 10586 def 10406 remove appTerm appTerm appTerm 10535 ref appTerm appTerm 10543 ref 75 ref 10584 ref 10585 ref appTerm 10587 def appTerm 10588 def 10575 remove appTerm appTerm appTerm absTerm 10589 def appTerm 10590 def nil cons cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 4565 ref "b'" 4499 ref var 10591 def 69 ref 10589 ref 10591 ref varTerm 10592 def appTerm 10593 def appTerm 171 ref appTerm 10594 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 10591 remove nil 99 ref 10594 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10593 ref nil cons 10595 def cons 1072 ref cons nil cons cons 10596 def 86 ref subst 10596 remove 151 ref subst 10593 ref betaConv 10593 remove assume eqMp nil 67 ref 251 ref 75 ref 75 ref 10584 remove 10403 ref 10114 ref 10592 ref appTerm 10597 def appTerm 10598 def appTerm 10599 def appTerm 10586 remove 8615 ref 10592 ref appTerm 10115 ref appTerm 10600 def appTerm 10601 def appTerm 10602 def appTerm 10535 remove appTerm 10603 def appTerm 10543 remove 10588 remove 75 ref 10598 ref appTerm 10600 ref appTerm 10604 def appTerm 10605 def appTerm 10606 def appTerm nil cons 10607 def cons 1072 ref cons nil cons cons 10608 def 136 ref subst proveHyp 10608 ref 86 ref subst 10608 remove 151 ref subst nil 67 ref 10606 remove nil cons 10609 def cons 1072 ref cons nil cons cons 10610 def 86 ref subst 10610 remove 151 ref subst nil 872 ref 10582 ref nil cons cons nil cons nil cons cons 910 ref refl subst 10611 def nil 67 ref 853 ref 10582 ref appTerm 10612 def 10582 ref appTerm 10613 def nil cons cons 10614 def 68 ref 75 ref 10402 ref 10597 ref appTerm 10615 def 10597 ref appTerm 10616 def appTerm 10617 def 10601 ref appTerm 10618 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil "x" 10099 ref var 10619 def 10597 ref nil cons cons nil cons nil cons cons 10619 ref varTerm 10620 def refl subst 10621 def nil 67 ref 10616 remove nil cons cons 10622 def 68 ref 10601 remove nil cons 10623 def cons nil cons cons nil cons cons 151 ref subst proveHyp nil 112 ref 10561 remove cons 114 ref 10605 remove nil cons cons nil cons cons nil cons cons 10624 def 347 ref subst 10625 def nil 112 ref 10587 remove nil cons cons 114 ref 10604 remove nil cons cons nil cons cons nil cons cons 10626 def 127 ref subst proveHyp 10627 def nil 112 ref 10583 remove nil cons cons 10628 def 114 ref 10585 ref nil cons 10629 def cons nil cons cons nil cons cons 10630 def 347 ref subst proveHyp nil 67 ref 10629 ref cons 68 ref 10600 ref nil cons 10631 def cons nil cons 10632 def cons nil cons cons 151 ref subst proveHyp 10625 remove 10626 remove 347 ref subst proveHyp 10633 def nil 112 ref 10598 remove nil cons 10634 def cons 114 ref 10631 remove cons nil cons 10635 def cons nil cons cons 10636 def 347 ref subst proveHyp eqMp eqMp eqMp nil 67 ref 75 ref 10613 remove appTerm 10637 def 10618 remove appTerm nil cons cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil "_11787" 4499 ref var 10638 def 10592 remove nil cons 10639 def cons "_11786" 1 ref var 10640 def 875 ref cons nil cons cons nil cons cons 251 ref 34 ref 10612 ref 1406 ref 10640 remove varTerm 10641 def appTerm 10642 def appTerm 10643 def appTerm appTerm 10644 def refl 251 ref 34 ref 10615 ref 10114 ref 10638 remove varTerm 10645 def appTerm 10646 def appTerm 10647 def appTerm appTerm 10648 def refl nil 8917 ref 8615 ref 10645 ref appTerm 10115 ref appTerm 10649 def nil cons cons 8918 ref 44 ref 10641 ref appTerm 28 ref appTerm 10650 def nil cons cons nil cons cons nil cons cons nil 67 ref 8920 ref 171 ref appTerm 10651 def nil cons 10652 def cons 68 ref 23 ref 251 ref 34 ref 8919 ref appTerm appTerm 34 ref 8921 ref appTerm 10653 def appTerm appTerm 34 ref 75 ref 8919 ref appTerm 8921 ref appTerm appTerm appTerm nil cons 10654 def cons nil cons 10655 def cons nil cons cons 10656 def 86 ref subst 10656 remove 151 ref subst 23 ref "_618" 19 ref var 10657 def 23 ref 251 ref 34 ref 10657 remove varTerm 10658 def appTerm appTerm 10653 ref appTerm appTerm 34 ref 75 ref 10658 remove appTerm 8921 ref appTerm appTerm appTerm absTerm 10659 def 8919 ref appTerm 10660 def appTerm refl 10661 def 10659 ref 171 ref appTerm betaConv appThm 33 ref 10660 remove betaConv appThm 10662 def 23 ref 3957 remove 10653 ref appTerm appTerm 34 ref 545 remove 8921 ref appTerm appTerm appTerm refl appThm trans 10659 remove refl 10663 def 10651 remove assume appThm eqMp sym 33 ref 3960 remove 10653 ref refl 10664 def appThm nil 99 ref 10653 ref nil cons 10665 def cons nil cons nil cons cons 10666 def 1351 ref subst trans appThm 35 ref nil 99 ref 8929 remove cons nil cons nil cons cons 10667 def 549 ref subst appThm 400 ref trans appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 112 ref 10652 ref cons 114 ref 10654 ref cons nil cons 10668 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 8920 remove 91 ref appTerm 10669 def nil cons 10670 def cons 10655 remove cons nil cons cons 10671 def 86 ref subst 10671 remove 151 ref subst 10661 remove "_616" 19 ref var 10672 def 23 ref 251 ref 34 ref 10672 remove varTerm 10673 def appTerm appTerm 10653 ref appTerm appTerm 34 ref 75 ref 10673 remove appTerm 8921 ref appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 10662 remove 23 ref 3968 remove 10653 remove appTerm appTerm 34 ref 558 remove 8921 remove appTerm appTerm appTerm refl appThm trans 10663 remove 10669 remove assume appThm eqMp sym 33 ref 3969 remove 10664 remove appThm 10666 remove 1308 ref subst trans appThm 35 ref 10667 remove 562 ref subst appThm appThm nil 166 ref 10665 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 112 ref 10670 remove cons 10674 def 10668 remove cons nil cons cons 127 ref subst deductAntisym eqMp 252 remove 8919 remove appTerm 10675 def betaConv 255 remove nil 256 remove 68 ref 10675 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 257 remove 8928 remove cons nil cons cons 161 ref subst eqMp eqMp nil 10674 remove 114 ref 10652 remove cons 261 ref 10654 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp 10676 def subst appThm nil 8917 ref 75 ref 10650 ref appTerm 10649 ref appTerm 10677 def nil cons cons 8918 ref 10647 ref nil cons cons nil cons cons nil cons cons 10676 ref subst trans appThm nil 8917 ref 75 ref 10647 remove appTerm 10677 remove appTerm 10678 def nil cons cons 8918 ref 10643 ref nil cons cons nil cons cons nil cons cons 10676 ref subst trans nil 67 ref 75 ref 10643 remove appTerm 10678 remove appTerm nil cons cons nil cons nil cons cons 23 ref 10446 remove appTerm 10679 def refl 101 remove 1077 ref subst appThm nil 166 ref 10447 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp 10680 def subst trans 23 ref "_11836" 10099 ref var 10681 def 10644 ref 251 ref 34 ref 10402 ref 10681 remove varTerm appTerm 10646 ref appTerm appTerm appTerm 251 ref 34 ref 10650 remove appTerm appTerm 10682 def 34 ref 10649 remove appTerm appTerm 10683 def appTerm appTerm absTerm 10684 def 10147 ref appTerm 10685 def appTerm refl 10684 ref 10597 ref appTerm betaConv appThm 33 ref 10685 remove betaConv appThm 10644 ref 10648 remove 10683 ref appTerm appTerm refl appThm trans 10684 remove refl 10633 remove 10636 remove 127 ref subst proveHyp appThm eqMp 23 ref "_11826" 721 ref var 10686 def 251 ref 34 ref 853 ref 10686 remove varTerm appTerm 10642 ref appTerm appTerm appTerm 251 ref 34 ref 10403 remove 10646 remove appTerm appTerm 10687 def appTerm 10683 ref appTerm 10688 def appTerm absTerm 10689 def 4751 ref appTerm 10690 def appTerm refl 10689 ref 10582 ref appTerm betaConv appThm 33 ref 10690 remove betaConv appThm 10644 remove 10688 remove appTerm refl appThm trans 10689 remove refl 10627 remove 10630 remove 127 ref subst proveHyp appThm eqMp nil 661 ref 34 ref 10398 remove 10642 remove appTerm appTerm 10691 def nil cons cons 659 ref 10687 remove nil cons cons 1272 ref 10683 remove nil cons cons nil cons cons cons nil cons cons 1295 remove sym subst 10156 remove 251 ref 251 ref 10691 remove appTerm 10539 remove appTerm appTerm 10682 remove 10540 remove appTerm appTerm absTerm 10692 def 10645 ref appTerm 10693 def betaConv 10541 ref 10641 ref appTerm 10694 def betaConv 10624 remove 127 ref subst nil 10562 remove 68 ref 10694 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10541 remove nil cons cons 41 ref 10641 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 4524 ref 10692 ref appTerm nil cons cons 68 ref 10693 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 4565 ref 10692 remove nil cons cons 4526 ref 10645 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp eqMp eqMp subst eqMp eqMp nil 112 ref 10609 ref cons 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 10603 remove nil cons 10695 def cons 1072 ref cons nil cons cons 10696 def 86 ref subst 10696 remove 151 ref subst nil 67 ref 10534 remove nil cons 10697 def cons 10698 def 1072 ref cons nil cons cons 10699 def 86 ref subst 10699 remove 151 ref subst 10621 remove nil 10622 remove 10632 remove cons nil cons cons 151 ref subst proveHyp nil 112 ref 10602 remove nil cons cons 114 ref 10537 remove cons nil cons cons nil cons cons 10700 def 127 ref subst 10701 def nil 112 ref 10599 remove nil cons cons 114 ref 10623 remove cons nil cons cons nil cons cons 10702 def 347 ref subst proveHyp 10703 def nil 112 ref 10629 ref cons 10635 remove cons nil cons cons 10704 def 347 ref subst proveHyp eqMp nil 67 ref 10617 remove 10600 remove appTerm nil cons cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil "_11785" 4499 ref var 10705 def 10639 remove cons nil cons nil cons cons nil 8917 ref 8615 ref 10705 remove varTerm 10706 def appTerm 10115 ref appTerm 10707 def nil cons cons 8918 ref 10615 remove 10114 remove 10706 ref appTerm 10708 def appTerm 10709 def nil cons cons nil cons cons nil cons cons 10676 ref subst nil 67 ref 75 ref 10709 ref appTerm 10707 ref appTerm nil cons cons nil cons nil cons cons 10680 ref subst trans 23 ref "_11814" 10099 ref var 10710 def 251 ref 34 ref 10402 ref 10710 remove varTerm appTerm 10708 remove appTerm appTerm appTerm 34 ref 10707 remove appTerm 10711 def appTerm absTerm 10712 def 10147 remove appTerm 10713 def appTerm refl 10712 ref 10597 remove appTerm betaConv appThm 33 ref 10713 remove betaConv appThm 251 ref 34 ref 10709 remove appTerm appTerm 10711 remove appTerm refl appThm trans 10712 remove refl 10701 remove 10702 remove 127 ref subst proveHyp 10714 def nil 10628 remove 114 ref 10634 remove cons nil cons cons nil cons cons 10715 def 347 ref subst proveHyp appThm eqMp 10533 ref 10706 ref appTerm 10716 def betaConv nil 10698 remove 68 ref 10716 remove nil cons cons nil cons cons nil cons cons 136 ref subst 4519 ref 4565 ref 10533 remove nil cons cons 4526 ref 10706 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp subst eqMp eqMp nil 112 ref 10697 ref cons 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 10532 remove nil cons 10717 def cons 10718 def 1072 ref cons nil cons cons 10719 def 86 ref subst 10719 remove 151 ref subst 10611 remove nil 10614 remove 68 ref 10629 remove cons nil cons cons nil cons cons 151 ref subst proveHyp 10703 remove 10704 remove 127 ref subst proveHyp eqMp nil 67 ref 10637 remove 10585 remove appTerm nil cons cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil "_11784" 1 ref var 10720 def 875 remove cons nil cons nil cons cons nil 8917 ref 44 ref 10720 remove varTerm 10721 def appTerm 28 ref appTerm 10722 def nil cons cons 8918 ref 10612 remove 1406 ref 10721 ref appTerm 10723 def appTerm 10724 def nil cons cons nil cons cons nil cons cons 10676 remove subst nil 67 ref 75 ref 10724 ref appTerm 10722 ref appTerm nil cons cons nil cons nil cons cons 10680 remove subst trans 23 ref "_11804" 721 ref var 10725 def 251 ref 34 ref 853 ref 10725 remove varTerm appTerm 10723 remove appTerm appTerm appTerm 34 ref 10722 remove appTerm 10726 def appTerm absTerm 10727 def 4751 ref appTerm 10728 def appTerm refl 10727 ref 10582 remove appTerm betaConv appThm 33 ref 10728 remove betaConv appThm 251 ref 34 ref 10724 remove appTerm appTerm 10726 remove appTerm refl appThm trans 10727 remove refl 10714 remove 10715 remove 127 ref subst proveHyp appThm eqMp 10531 ref 10721 ref appTerm 10729 def betaConv nil 10718 remove 68 ref 10729 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 10531 remove nil cons cons 41 ref 10721 remove nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp subst eqMp eqMp nil 112 ref 10717 remove cons 10730 def 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp 10700 remove 347 ref subst nil 10730 remove 114 ref 10697 remove cons 261 ref 551 remove cons nil cons 10731 def cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 10695 remove cons 10732 def 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 10732 remove 114 ref 10609 remove cons 10731 remove cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 10607 remove cons 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 10595 remove cons 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4524 ref 4526 ref 69 ref 10589 ref 4528 ref appTerm appTerm 171 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 10590 remove appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 4565 ref 10589 remove nil cons cons 1079 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 10580 remove cons 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 10576 ref 45 ref appTerm appTerm 171 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 10577 remove appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10576 remove nil cons cons 1079 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 10449 remove cons 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 1422 ref 1403 ref 10103 remove 10104 remove 288 ref 4 ref 10106 ref 4507 ref 17 ref 18 ref 10110 remove 10138 remove cons opType constTerm 10136 remove appTerm 10117 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 1453 ref 1403 ref 5646 ref 6727 ref 1461 ref 1433 ref 1407 ref 425 ref 426 ref 39 ref 41 ref 428 ref 7825 ref appTerm absTerm appTerm absTerm appTerm 10733 def appTerm 10734 def appTerm 1435 ref 1436 ref 794 ref 872 ref 75 ref 1438 ref 910 ref appTerm 10735 def appTerm 7822 ref 910 ref appTerm 10736 def appTerm absTerm appTerm absTerm appTerm 10737 def appTerm absTerm appTerm appTerm 10738 def absTerm 10739 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 10738 remove nil cons cons nil cons nil cons cons 106 ref subst 5646 remove refl 6734 remove 1461 ref nil 783 ref 10737 remove nil cons cons 1548 ref 10734 remove nil cons cons nil cons cons nil cons cons 1551 ref subst 758 ref 872 ref 33 ref nil 4 ref 10733 remove nil cons cons 2408 ref cons nil cons cons 1469 ref subst 40 ref 41 ref 2906 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 7825 ref absTerm 10740 def 45 ref appTerm betaConv 10741 def appThm absThm appThm absThm appThm appThm appThm 10741 remove appThm nil 56 ref 10740 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp appThm absThm appThm trans appThm 1463 ref appThm absThm appThm trans absThm appThm appThm sym nil 67 ref 5645 ref nil cons 10742 def cons 10743 def 68 ref 6727 remove 1461 ref 757 ref 872 ref 23 ref 39 ref 41 ref 2413 ref 7825 ref appTerm absTerm appTerm appTerm 10736 remove appTerm absTerm appTerm 10744 def absTerm 10745 def appTerm 10746 def nil cons 10747 def cons nil cons cons nil cons cons 10748 def 348 ref subst 10748 ref 86 ref subst 10748 remove 151 ref subst nil 6753 ref 10745 ref nil cons cons 10749 def nil cons nil cons cons 6755 remove subst 1461 ref nil 99 ref 10744 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 795 ref 23 ref 39 ref 41 ref 1414 ref 7825 ref appTerm absTerm appTerm appTerm 7823 remove appTerm 10750 def absTerm 10751 def nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 10750 ref nil cons 10752 def cons nil cons nil cons cons 106 ref subst 5644 ref 799 ref appTerm 10753 def betaConv nil 10743 remove 68 ref 10753 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 5644 remove nil cons cons 1462 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 5722 remove cons 68 ref 10752 ref cons nil cons 10754 def cons nil cons cons 136 ref subst proveHyp nil 144 ref 5897 ref 69 ref 5642 ref 5898 ref appTerm 10755 def appTerm 10750 ref appTerm 10756 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 5897 ref nil 99 ref 10756 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10755 ref nil cons 10757 def cons 10754 ref cons nil cons cons 10758 def 86 ref subst 10758 remove 151 ref subst 10755 ref betaConv 10755 remove assume eqMp nil 67 ref 7612 ref nil cons 10759 def cons 10754 remove cons nil cons cons 10760 def 136 ref subst proveHyp 10760 ref 86 ref subst 10760 remove 151 ref subst 23 ref "_12500" 721 ref var 10761 def 23 ref 39 ref 41 ref 75 ref 853 ref 10761 remove varTerm 10762 def appTerm 1412 ref appTerm appTerm 7825 ref appTerm absTerm appTerm appTerm 7822 ref 10762 remove appTerm appTerm absTerm 10763 def 799 ref appTerm 10764 def appTerm refl 10763 remove 5904 ref appTerm betaConv appThm 33 ref 10764 remove betaConv appThm 23 ref 39 ref 41 ref 75 ref 7620 ref appTerm 7825 remove appTerm 10765 def absTerm 10766 def appTerm 10767 def appTerm 7822 remove 5904 remove appTerm 10768 def appTerm refl appThm trans 10751 remove refl 7612 remove assume sym appThm eqMp sym nil 67 ref 10767 ref nil cons 10769 def cons 68 ref 10768 ref nil cons 10770 def cons nil cons 10771 def cons nil cons cons 348 ref subst nil 144 ref 41 ref 69 ref 10766 ref 45 ref appTerm 10772 def appTerm 10768 ref appTerm 10773 def absTerm 10774 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 10773 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10772 ref nil cons 10775 def cons 10771 ref cons nil cons cons 10776 def 86 ref subst 10776 remove 151 ref subst 10772 ref betaConv 10772 remove assume eqMp nil 67 ref 10765 remove nil cons 10777 def cons 10771 remove cons nil cons cons 10778 def 136 ref subst proveHyp 10778 ref 86 ref subst 10778 remove 151 ref subst nil 112 ref 7620 ref nil cons cons 7847 remove cons nil cons cons 10779 def 127 ref subst 10779 remove 347 ref subst 7859 remove 7620 remove assume appThm 7910 remove trans sym 105 ref eqMp proveHyp proveHyp eqMp nil 112 ref 10777 remove cons 114 ref 10770 ref cons nil cons 10780 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 10775 remove cons 10780 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 10774 remove appTerm nil cons cons 68 ref 69 ref 10767 ref appTerm 10768 ref appTerm nil cons 10781 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10766 ref nil cons cons 10782 def 10780 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 10781 remove cons 68 ref 69 ref 10768 ref appTerm 10767 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 10770 ref cons 68 ref 10769 ref cons nil cons cons nil cons cons 10783 def 86 ref subst 10783 remove 151 ref subst 10766 remove 5898 ref appTerm betaConv sym 544 ref 9345 remove appThm nil 99 ref 10770 ref cons nil cons nil cons cons 106 ref subst 10768 remove assume eqMp appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 10782 remove 5943 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 10770 remove cons 114 ref 10769 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 112 ref 10759 remove cons 114 ref 10752 remove cons nil cons 10784 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 10757 remove cons 10784 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 5642 ref 45 ref appTerm appTerm 10750 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 5643 remove appTerm 10750 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 5642 remove nil cons cons 10784 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 10742 ref cons 114 ref 10747 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 5645 ref appTerm 10746 ref appTerm nil cons cons 68 ref 69 ref 10746 remove appTerm 5645 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 10747 ref cons 10785 def 68 ref 10742 ref cons nil cons 10786 def cons nil cons cons 10787 def 86 ref subst 10787 remove 151 ref subst 10745 remove 795 ref 91 ref absTerm 10788 def appTerm 10789 def betaConv nil 10785 remove 68 ref 10789 remove nil cons cons nil cons cons nil cons cons 136 ref subst 6754 ref 10749 remove 6821 remove 10788 ref nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 757 ref 872 ref 23 ref 39 ref 41 ref 2413 ref 10788 ref 1412 ref appTerm 10790 def appTerm absTerm appTerm appTerm 10788 remove 910 ref appTerm 10791 def appTerm absTerm appTerm nil cons cons 10786 remove cons nil cons cons 136 ref subst proveHyp 329 ref 758 ref 872 ref 33 ref 40 ref 41 ref 2906 ref 10790 remove betaConv appThm nil 99 ref 5579 remove cons nil cons nil cons cons 1362 ref subst trans absThm appThm appThm 10791 remove betaConv appThm nil 99 ref 39 ref 41 ref 2412 remove absTerm appTerm 10792 def nil cons cons nil cons nil cons cons 247 ref subst trans absThm appThm appThm 5645 ref refl appThm sym 69 ref 757 ref 872 ref 10792 remove absTerm appTerm 10793 def appTerm refl 758 ref 795 ref 40 ref 41 ref 2452 ref 897 ref 315 remove subst 10794 def subst 10795 def absThm appThm absThm appThm appThm sym nil 67 ref 10793 ref nil cons 10796 def cons 68 ref 10796 ref cons nil cons cons nil cons cons 10797 def 86 ref subst 10797 remove 151 ref subst 10793 remove assume eqMp nil 112 ref 10796 ref cons 114 ref 10796 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 112 ref 10747 remove cons 114 ref 10742 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp nil 1422 ref 10739 remove appTerm thm nil 871 ref "d" 721 ref var 10798 def 812 ref 783 ref 17 ref 18 ref 0 ref 1451 ref opType 10799 def 18 ref 10799 ref 20 ref cons opType nil cons cons opType constTerm 10800 def 423 ref 18 ref 1420 ref 10799 ref nil cons 10801 def cons opType constTerm 10802 def "v" 1402 ref var 10803 def 5704 ref 1403 ref 75 ref 10253 ref 10803 ref varTerm appTerm 1406 ref appTerm appTerm 10804 def 75 ref 54 ref 41 ref 6665 remove 5881 ref appTerm absTerm appTerm appTerm 54 ref 41 ref 69 ref 951 remove appTerm 2438 ref 10798 ref varTerm 10805 def appTerm 10806 def appTerm absTerm appTerm appTerm appTerm absTerm appTerm absTerm 10807 def appTerm 10808 def appTerm 1120 remove 18 ref 1402 ref 18 ref 10799 ref 10801 ref cons opType nil cons cons opType constTerm 41 ref 10805 ref absTerm 10809 def appTerm 12 remove 10799 ref constTerm appTerm 10810 def appTerm 10811 def absTerm 10812 def appTerm 10813 def absTerm 10814 def nil cons cons nil cons nil cons cons 898 ref subst 10798 ref nil 99 ref 10813 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 10812 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 10811 remove nil cons cons nil cons nil cons cons 106 ref subst nil "t" 10799 ref var 10815 def 10810 remove nil cons cons "s" 10799 ref var 10816 def 10808 remove nil cons cons nil cons cons nil cons cons 1465 ref 381 ref subst 10817 def subst 1429 ref 1454 ref 33 ref nil "p" 1420 remove var 10818 def 10807 ref nil cons cons nil cons nil cons cons 1465 ref 449 ref subst 10819 def subst 10807 remove 1454 ref varTerm 10820 def appTerm betaConv trans 5704 ref refl 10821 def 1403 ref 75 ref 10253 ref 10820 ref appTerm 10822 def 1406 ref appTerm appTerm refl 10823 def 544 ref 55 ref 41 ref 701 remove 9739 ref appThm 9740 remove 524 ref subst trans absThm appThm 377 ref trans appThm 55 ref 41 ref 329 ref 1358 remove appThm 10806 ref refl 10824 def appThm nil 99 ref 10806 ref nil cons cons nil cons nil cons cons 2033 ref subst trans absThm appThm appThm nil 99 ref 54 ref 41 ref 10806 ref absTerm appTerm 10825 def nil cons cons nil cons nil cons cons 562 ref subst trans appThm absThm appThm trans appThm nil "y" 1402 ref var 10826 def 10809 ref nil cons 10827 def cons nil cons nil cons cons 1465 ref 1187 remove subst subst appThm absThm appThm trans sym nil 1453 ref 4505 ref 23 ref 5704 ref 1403 ref 75 ref 10253 ref 4510 ref appTerm 10828 def 1406 ref appTerm appTerm 10829 def 10825 ref appTerm absTerm appTerm appTerm 10828 ref 10809 ref appTerm 10830 def appTerm 10831 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 4505 ref nil 99 ref 10831 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 33 ref 10821 ref 1403 ref 10829 ref refl 10832 def 1403 ref 10825 remove absTerm 10833 def 1406 ref appTerm betaConv appThm absThm appThm appThm 10833 ref 4510 ref appTerm betaConv appThm nil 10818 ref 10833 remove nil cons cons "a" 1402 ref var 10834 def 4550 ref cons nil cons 10835 def cons nil cons cons 1465 remove 1482 ref subst 10836 def subst eqMp appThm 10830 remove refl appThm sym 23 ref 54 ref 41 ref 853 ref 4536 ref appTerm 10837 def 10805 ref appTerm 10838 def absTerm appTerm 10839 def appTerm refl nil 4505 ref 10827 remove cons 4553 remove nil cons 10840 def cons nil cons cons 4505 ref 23 ref 10253 ref 1406 ref appTerm 4510 ref appTerm 10841 def appTerm 54 ref 41 ref 2438 ref 4536 ref appTerm absTerm appTerm 10842 def appTerm absTerm 10843 def 4510 ref appTerm 10844 def betaConv 1403 ref 1422 ref 10843 ref appTerm 10845 def absTerm 10846 def 1406 ref appTerm 10847 def betaConv 1429 ref 1403 ref 1429 ref 4505 ref nil 163 ref 10842 ref nil cons cons 166 ref 10841 ref nil cons cons nil cons cons nil cons cons 316 remove subst absThm appThm absThm appThm sym nil 1422 ref 1403 ref 1422 ref 4505 ref 23 ref 10842 remove appTerm 10841 remove appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 67 ref 1422 ref 10846 ref appTerm nil cons cons 68 ref 10847 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 10846 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10845 remove nil cons cons 68 ref 10844 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 10843 remove nil cons cons 4551 ref cons nil cons cons 161 ref subst eqMp eqMp 10848 def subst 55 ref 41 ref 10837 ref refl 10849 def 10809 remove 45 ref appTerm betaConv appThm absThm appThm trans appThm nil 166 ref 10839 remove nil cons cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 757 ref 10814 remove appTerm thm nil 1453 ref 1403 ref 7692 remove absTerm 10850 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 7693 remove cons nil cons nil cons cons 106 ref subst 7691 remove eqMp absThm eqMp nil 1422 ref 10850 remove appTerm thm nil 1453 ref 1403 ref 5947 remove absTerm 10851 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 5948 remove cons nil cons nil cons cons 106 ref subst 5946 remove eqMp absThm eqMp nil 1422 ref 10851 remove appTerm thm nil 1453 ref 1403 ref 288 ref 4 ref 534 ref 11 ref 8057 ref 75 ref 9219 remove appTerm 54 ref 41 ref 54 ref 296 ref 69 ref 653 remove 9941 ref appTerm appTerm 298 ref appTerm absTerm appTerm absTerm appTerm 10852 def appTerm appTerm absTerm 10853 def appTerm 10854 def absTerm 10855 def appTerm 10856 def absTerm 10857 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 10856 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 10855 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 10854 ref nil cons 10858 def cons nil cons nil cons cons 106 ref subst nil 6051 ref nil cons nil cons cons 783 ref 23 ref 5677 remove appTerm 5670 ref appTerm 10859 def absTerm 10860 def 789 ref appTerm 10861 def betaConv 4 ref 812 ref 10860 ref appTerm 10862 def absTerm 10863 def 28 ref appTerm 10864 def betaConv 1403 ref 288 ref 10863 ref appTerm 10865 def absTerm 10866 def 1406 ref appTerm 10867 def betaConv 1429 ref 1403 ref 292 ref 4 ref 1522 ref 783 ref 10859 remove assume sym 5678 remove assume sym deductAntisym absThm appThm absThm appThm absThm appThm 5714 ref eqMp nil 67 ref 1422 ref 10866 ref appTerm nil cons cons 68 ref 10867 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 10866 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10865 remove nil cons cons 68 ref 10864 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 10863 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 10862 remove nil cons cons 68 ref 10861 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 10860 remove nil cons cons 823 ref cons nil cons cons 161 ref subst eqMp eqMp subst sym 758 ref 795 ref 7864 ref refl 10868 def 40 ref 41 ref nil 659 ref 5721 ref cons 662 ref cons nil cons cons 678 remove subst absThm appThm appThm absThm appThm sym 758 ref 795 ref 10868 remove 40 ref 41 ref 544 ref 10795 remove appThm 634 ref appThm absThm appThm appThm absThm appThm sym 758 ref 795 ref 7821 remove 1417 ref refl 10869 def appThm 5818 ref 409 ref subst trans absThm appThm 947 ref trans sym 105 ref eqMp eqMp eqMp eqMp nil 67 ref 5650 ref 5651 ref 757 ref 795 ref 7864 remove 5672 ref appTerm absTerm 10870 def appTerm 10871 def absTerm 10872 def appTerm 10873 def nil cons cons 68 ref 10858 ref cons nil cons 10874 def cons nil cons cons 136 ref subst nil 7529 ref 5651 ref 69 ref 10872 ref 5652 ref appTerm 10875 def appTerm 10854 ref appTerm 10876 def absTerm nil cons cons nil cons nil cons cons 7544 ref subst 5651 ref nil 99 ref 10876 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10875 ref nil cons 10877 def cons 10874 ref cons nil cons cons 10878 def 86 ref subst 10878 remove 151 ref subst 10875 ref betaConv 10875 remove assume eqMp nil 67 ref 10871 remove nil cons 10879 def cons 10880 def 10874 remove cons nil cons cons 10881 def 136 ref subst proveHyp 10881 ref 86 ref subst 10881 remove 151 ref subst 10853 ref 1389 ref 18 ref 5647 ref 18 ref 731 ref 322 remove cons opType nil cons cons opType constTerm 5652 ref appTerm 10882 def 1408 ref appTerm 10883 def appTerm betaConv sym nil 596 ref 4 ref 10883 ref nil cons 10884 def cons 10885 def nil cons cons nil cons cons 700 ref subst sym nil 144 ref 5897 ref 69 ref 5906 remove 10883 ref appTerm appTerm 5968 ref appTerm 10886 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 5897 ref nil 99 ref 10886 remove nil cons cons nil cons nil cons cons 106 ref subst 329 ref nil 2405 ref 5697 remove 7588 remove cons 10887 def 9354 remove cons cons nil cons cons 7594 remove 1469 ref subst 10888 def subst appThm 5968 ref refl appThm sym nil 871 ref 872 ref 69 ref 872 ref 75 ref 5969 remove 5652 ref 910 ref appTerm 10889 def appTerm 10890 def appTerm 9689 ref appTerm 10891 def absTerm 10892 def 910 ref appTerm 10893 def appTerm 5968 ref appTerm 10894 def absTerm 10895 def nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 10894 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10893 ref nil cons 10896 def cons 5977 ref cons nil cons cons 10897 def 86 ref subst 10897 remove 151 ref subst 10893 ref betaConv 10893 remove assume eqMp nil 67 ref 10891 remove nil cons 10898 def cons 5977 remove cons nil cons cons 10899 def 136 ref subst proveHyp 10899 ref 86 ref subst 10899 remove 151 ref subst nil 112 ref 10890 ref nil cons cons 114 ref 9689 ref nil cons 10900 def cons nil cons cons nil cons cons 10901 def 127 ref subst 10901 remove 347 ref subst 5981 remove "_12520" 1 ref var 10902 def 44 ref 10902 remove varTerm appTerm 28 ref appTerm absTerm 10889 ref appTerm betaConv appThm 5982 remove 44 ref 10889 ref appTerm 10903 def 28 ref appTerm 10904 def refl 10905 def appThm trans 2228 remove 10890 remove assume appThm eqMp sym 10870 ref 910 ref appTerm 10906 def betaConv nil 10880 ref 68 ref 10906 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 10870 ref nil cons cons 10907 def 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9690 remove 75 ref 10904 ref appTerm 853 ref 1406 ref 10889 ref appTerm appTerm 910 ref appTerm 10908 def appTerm 10909 def appTerm nil cons cons 68 ref 10904 remove nil cons 10910 def cons nil cons 10911 def cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 10900 remove cons nil cons nil cons cons 106 ref subst 9689 ref assume eqMp appThm 10909 ref refl appThm nil 99 ref 10909 remove nil cons 10912 def cons nil cons nil cons cons 2033 ref subst trans appThm 10905 remove appThm sym nil 67 ref 10912 ref cons 10911 remove cons nil cons cons 10913 def 86 ref subst 10913 remove 151 ref subst nil 112 ref 10910 ref cons 114 ref 10908 ref nil cons cons nil cons 10914 def cons nil cons cons 127 ref subst eqMp nil 112 ref 10912 remove cons 114 ref 10910 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 10898 remove cons 6003 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 10896 remove cons 6003 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 10895 remove appTerm nil cons cons 68 ref 69 ref 794 ref 10892 ref appTerm appTerm 5968 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 10892 remove nil cons cons 6003 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp absThm eqMp eqMp nil 67 ref 686 ref 10883 ref appTerm 28 ref appTerm nil cons cons 68 ref 75 ref 1434 remove 1407 ref 10883 ref appTerm 10915 def appTerm 10916 def appTerm 54 ref 41 ref 54 ref 296 ref 69 ref 75 ref 46 ref 10883 ref appTerm 10917 def appTerm 75 ref 1163 ref 10883 remove appTerm 10918 def appTerm 7499 ref appTerm 10919 def appTerm 10920 def appTerm 298 ref appTerm 10921 def absTerm 10922 def appTerm 10923 def absTerm 10924 def appTerm 10925 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 783 ref 10915 remove nil cons cons 2406 ref cons nil cons cons 1551 ref subst 758 ref 872 ref 2410 remove nil 10885 remove 2408 ref cons nil cons cons 1469 ref subst 40 ref 41 ref 2906 ref nil 2405 ref 10887 ref 1398 ref cons 10926 def cons nil cons cons 10888 ref subst 826 ref 872 ref 75 ref 221 ref 10889 ref appTerm appTerm 10927 def refl 2409 ref appThm absThm appThm trans 10928 def appThm absThm appThm trans appThm absThm appThm trans sym nil 871 ref 3672 ref 23 ref 9975 ref appTerm 39 ref 41 ref 6741 ref 794 ref 872 ref 10927 ref 2416 ref appTerm absTerm 10929 def appTerm 10930 def appTerm 10931 def absTerm 10932 def appTerm 10933 def appTerm 10934 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 3672 ref nil 99 ref 10934 remove nil cons cons nil cons nil cons cons 106 ref subst nil 10000 remove 68 ref 10933 ref nil cons 10935 def cons nil cons 10936 def cons nil cons cons 348 ref subst nil 144 ref 41 ref 10026 remove 10933 ref appTerm 10937 def absTerm 10938 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 10937 remove nil cons cons nil cons nil cons cons 106 ref subst nil 10030 remove 10936 ref cons nil cons cons 10939 def 86 ref subst 10939 remove 151 ref subst 10032 remove nil 10034 remove 10936 remove cons nil cons cons 10940 def 136 ref subst proveHyp 10940 ref 86 ref subst 10940 remove 151 ref subst 10037 remove 10038 remove 23 ref "_12522" 721 ref var 10941 def 39 ref 41 ref 75 ref 853 ref 10941 remove varTerm appTerm 1412 ref appTerm appTerm 10930 ref appTerm absTerm appTerm absTerm 10942 def 3673 ref appTerm 10943 def appTerm refl 10942 ref 1412 ref appTerm betaConv appThm 33 ref 10943 remove betaConv appThm 39 ref 1134 ref 2441 ref 794 ref 872 ref 75 ref 1199 remove 10889 ref appTerm appTerm 10944 def 2416 ref appTerm absTerm appTerm appTerm absTerm 10945 def appTerm refl appThm trans 10942 remove refl 6792 ref appThm eqMp sym 10945 ref 7504 ref appTerm betaConv sym 10870 ref 1412 ref appTerm 10946 def betaConv nil 10880 ref 68 ref 10946 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 10907 ref 2448 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 3532 ref appTerm 75 ref 44 ref 7504 ref appTerm 10947 def 28 ref appTerm 10948 def appTerm 853 ref 1406 ref 7504 ref appTerm 10949 def appTerm 1412 ref appTerm 10950 def appTerm 10951 def appTerm 10952 def nil cons cons 68 ref 2438 remove 10949 remove appTerm 10953 def nil cons 10954 def cons nil cons 10955 def cons nil cons cons 136 ref subst proveHyp nil 1015 ref 68 ref 3532 ref nil cons 10956 def cons nil cons cons nil cons cons 136 ref subst 9861 ref eqMp nil 67 ref 10956 ref cons 68 ref 69 ref 10951 ref appTerm 10953 ref appTerm 10957 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 10951 remove nil cons 10958 def cons 10955 remove cons nil cons cons 10959 def 86 ref subst 10959 remove 151 ref subst nil 112 ref 10948 remove nil cons cons 114 ref 10950 ref nil cons cons nil cons 10960 def cons nil cons cons 347 ref subst sym eqMp nil 112 ref 10958 ref cons 114 ref 10954 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 75 ref 3532 ref appTerm 10957 remove appTerm nil cons cons 68 ref 69 ref 10952 remove appTerm 10953 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 9293 ref 10954 ref cons 163 ref 10958 remove cons 166 ref 10956 ref cons nil cons cons cons nil cons cons 9317 ref subst eqMp eqMp nil 67 ref 10954 remove cons 68 ref 794 ref 872 ref 75 ref 7505 ref 10889 ref appTerm appTerm 10961 def 2416 ref appTerm absTerm 10962 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp 10962 ref 1412 ref appTerm betaConv sym 544 ref nil 41 ref 7504 ref nil cons cons 10963 def nil cons 10964 def nil cons cons 224 ref subst appThm 10965 def 3520 ref refl appThm 7911 remove 562 ref subst trans sym 3529 ref eqMp eqMp 870 ref 871 ref 10962 remove nil cons cons 2448 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 309 ref 144 ref 10945 remove nil cons cons 10964 ref cons nil cons cons 594 ref subst proveHyp eqMp proveHyp proveHyp eqMp nil 10041 remove 114 ref 10935 remove cons nil cons 10966 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 10043 remove 10966 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 10938 remove appTerm nil cons cons 68 ref 10044 remove 10933 ref appTerm nil cons 10967 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 9998 remove 10966 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 10967 remove cons 68 ref 69 ref 10933 remove appTerm 9975 ref appTerm nil cons cons nil cons 10968 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 41 ref 69 ref 10932 ref 45 ref appTerm 10969 def appTerm 9975 ref appTerm 10970 def absTerm 10971 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 10970 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10969 ref nil cons 10972 def cons 68 ref 9999 ref cons nil cons 10973 def cons nil cons cons 10974 def 86 ref subst 10974 remove 151 ref subst 10969 ref betaConv 10969 remove assume eqMp nil 67 ref 10931 remove nil cons 10975 def cons 10973 ref cons nil cons cons 10976 def 136 ref subst proveHyp 10976 ref 86 ref subst 10976 remove 151 ref subst nil 6780 ref 114 ref 10930 ref nil cons 10977 def cons nil cons cons nil cons cons 10978 def 127 ref subst 10978 remove 347 ref subst nil 67 ref 10977 remove cons 10973 ref cons nil cons cons 136 ref subst nil 871 ref 2785 ref 69 ref 10929 ref 2786 ref appTerm 10979 def appTerm 10980 def 9975 ref appTerm 10981 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 2785 ref nil 99 ref 10981 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10979 ref nil cons 10982 def cons 10983 def 10973 ref cons nil cons cons 10984 def 86 ref subst 10984 remove 151 ref subst 10979 ref betaConv 10979 remove assume eqMp 10985 def nil 67 ref 75 ref 221 ref 5652 ref 2786 ref appTerm appTerm 10986 def appTerm 39 ref 41 ref 9278 remove 49 ref appTerm absTerm 10987 def appTerm 10988 def appTerm nil cons 10989 def cons 10990 def 10973 ref cons nil cons cons 10991 def 136 ref subst proveHyp 10991 ref 86 ref subst 10991 remove 151 ref subst nil 112 ref 10986 ref nil cons cons 114 ref 10988 ref nil cons 10992 def cons nil cons cons nil cons cons 10993 def 127 ref subst 10994 def 10993 remove 347 ref subst 10995 def nil 67 ref 10992 remove cons 10996 def 10973 ref cons nil cons cons 136 ref subst nil 144 ref 2812 ref 69 ref 10987 ref 2813 remove appTerm 10997 def appTerm 10998 def 9975 ref appTerm 10999 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 2812 ref nil 99 ref 10999 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10997 ref nil cons 11000 def cons 11001 def 10973 ref cons nil cons cons 11002 def 86 ref subst 11002 remove 151 ref subst 10997 ref betaConv 10997 remove assume eqMp 11003 def nil 67 ref 75 ref 2787 remove 2823 ref appTerm 11004 def appTerm 2821 remove appTerm nil cons 11005 def cons 11006 def 10973 remove cons nil cons cons 11007 def 136 ref subst proveHyp 11007 ref 86 ref subst 11007 remove 151 ref subst nil 112 ref 11004 ref nil cons cons 4179 remove cons nil cons cons 11008 def 127 ref subst 11009 def 11008 remove 347 ref subst 11010 def 23 ref "_12546" 721 ref var 11011 def 39 ref 41 ref 75 ref 853 ref 11011 remove varTerm appTerm 1412 ref appTerm appTerm 49 ref appTerm absTerm appTerm absTerm 11012 def 3673 ref appTerm 11013 def appTerm refl 11012 ref 1406 ref 5652 ref 2823 ref appTerm 11014 def appTerm 11015 def appTerm betaConv appThm 33 ref 11013 remove betaConv appThm 39 ref 41 ref 75 ref 853 ref 11015 ref appTerm 11016 def 1412 ref appTerm appTerm 49 ref appTerm absTerm 11017 def appTerm refl appThm trans 11012 remove refl 23 ref "_12542" 1 ref var 11018 def 6739 ref 1406 ref 11018 remove varTerm appTerm appTerm absTerm 11019 def 45 ref appTerm 11020 def appTerm refl 11019 ref 11014 ref appTerm betaConv appThm 33 ref 11020 remove betaConv appThm 6739 ref 11015 ref appTerm refl appThm trans 11019 remove refl 23 ref "_12534" 721 ref var 11021 def 221 ref 5652 ref 11021 remove varTerm appTerm appTerm absTerm 11022 def 2786 ref appTerm 11023 def appTerm refl 11022 ref 2823 ref appTerm betaConv appThm 33 ref 11023 remove betaConv appThm 221 ref 11014 ref appTerm refl appThm trans 11022 remove refl 11004 remove assume appThm eqMp 10986 remove assume eqMp 11024 def appThm eqMp 6792 remove eqMp appThm eqMp sym 11017 ref 11014 ref appTerm betaConv sym 544 ref nil 872 ref 11015 ref nil cons cons nil cons nil cons cons 940 ref subst appThm 44 ref 11014 ref appTerm 28 ref appTerm 11025 def refl appThm nil 99 ref 11025 ref nil cons 11026 def cons nil cons nil cons cons 562 ref subst trans sym 10870 ref 2823 ref appTerm 11027 def betaConv nil 10880 ref 68 ref 11027 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 10907 ref 2837 remove cons nil cons cons 161 ref subst eqMp eqMp 11028 def nil 67 ref 69 ref 6927 remove 1408 ref appTerm 11029 def appTerm 75 ref 11025 ref appTerm 11016 remove 2823 remove appTerm 11030 def appTerm 11031 def appTerm 11032 def nil cons cons 11033 def 68 ref 11026 ref cons nil cons 11034 def cons nil cons cons 136 ref subst proveHyp nil 2830 remove 68 ref 11029 ref nil cons 11035 def cons nil cons cons nil cons cons 136 ref subst nil 2846 remove nil cons cons 9861 ref subst eqMp 11036 def nil 67 ref 11035 ref cons 11037 def 68 ref 69 ref 11031 ref appTerm 11038 def 11025 ref appTerm 11039 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 11031 remove nil cons 11040 def cons 11041 def 11034 remove cons nil cons cons 11042 def 86 ref subst 11042 remove 151 ref subst nil 112 ref 11026 ref cons 114 ref 11030 ref nil cons 11043 def cons nil cons 11044 def cons nil cons cons 11045 def 127 ref subst eqMp nil 112 ref 11040 ref cons 11046 def 114 ref 11026 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 75 ref 11029 remove appTerm 11047 def 11039 remove appTerm nil cons cons 68 ref 69 ref 11032 remove appTerm 11048 def 11025 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 9293 ref 11026 remove cons 163 ref 11040 remove cons 166 ref 11035 remove cons nil cons cons 11049 def cons nil cons cons 9317 ref subst eqMp eqMp eqMp eqMp 309 ref 144 ref 11017 remove nil cons cons 41 ref 11014 ref nil cons cons nil cons cons nil cons cons 594 ref subst proveHyp eqMp proveHyp proveHyp eqMp nil 112 ref 11005 remove cons 11050 def 114 ref 9999 remove cons nil cons 11051 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 11000 remove cons 11052 def 11051 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 10987 ref 45 ref appTerm appTerm 9975 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 10988 remove appTerm 11053 def 9975 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10987 ref nil cons cons 11054 def 11051 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 10989 remove cons 11055 def 11051 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 10982 remove cons 11056 def 11051 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 10929 ref 910 ref appTerm appTerm 11057 def 9975 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 10930 remove appTerm 11058 def 9975 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 10929 remove nil cons cons 11059 def 11051 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 10975 remove cons 11051 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 10972 remove cons 11051 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 10971 remove appTerm nil cons cons 10968 remove cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 10932 remove nil cons cons 11051 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 67 ref 10916 remove nil cons cons 68 ref 10925 remove nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 144 ref 10924 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 10923 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 10922 remove nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 10921 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10920 remove nil cons 11060 def cons 7645 ref cons nil cons cons 11061 def 86 ref subst 11061 remove 151 ref subst nil 112 ref 10917 remove nil cons 11062 def cons 114 ref 10919 remove nil cons cons nil cons cons nil cons cons 11063 def 127 ref subst 11063 remove 347 ref subst nil 112 ref 10918 remove nil cons 11064 def cons 7653 ref cons nil cons cons 11065 def 127 ref subst 11065 remove 347 ref subst 1171 ref 75 ref 221 ref 1172 ref appTerm appTerm 1175 ref appTerm absTerm 11066 def 7504 ref appTerm betaConv sym nil 67 ref 11062 remove cons 7564 ref cons nil cons cons 136 ref subst 329 ref 10928 remove appThm 7562 remove appThm sym nil 871 ref 2785 ref 10980 remove 7506 ref appTerm 11067 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 2785 ref nil 99 ref 11067 remove nil cons cons nil cons nil cons cons 106 ref subst nil 10983 remove 7564 ref cons nil cons cons 11068 def 86 ref subst 11068 remove 151 ref subst 10985 remove nil 10990 remove 7564 ref cons nil cons cons 11069 def 136 ref subst proveHyp 11069 ref 86 ref subst 11069 remove 151 ref subst 10994 remove 10995 remove nil 10996 remove 7564 ref cons nil cons cons 136 ref subst nil 144 ref 2812 ref 10998 remove 7506 ref appTerm 11070 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 2812 remove nil 99 ref 11070 remove nil cons cons nil cons nil cons cons 106 ref subst nil 11001 remove 7564 ref cons nil cons cons 11071 def 86 ref subst 11071 remove 151 ref subst 11003 remove nil 11006 remove 7564 ref cons nil cons cons 11072 def 136 ref subst proveHyp 11072 ref 86 ref subst 11072 remove 151 ref subst 11009 remove 11010 remove 23 ref "_12560" 1 ref var 11073 def 220 ref 5652 ref 1406 ref 11073 remove varTerm 11074 def appTerm appTerm appTerm 11074 remove appTerm absTerm 11075 def 45 ref appTerm 11076 def appTerm refl 11075 ref 11014 ref appTerm betaConv appThm 33 ref 11076 remove betaConv appThm 220 ref 5652 ref 11015 remove appTerm appTerm 11014 remove appTerm refl appThm trans 11075 remove refl 11077 def 11024 remove appThm eqMp sym 5652 ref refl 11078 def 11028 remove nil 11033 remove 68 ref 11043 ref cons nil cons 11079 def cons nil cons cons 136 ref subst proveHyp 11036 remove nil 11037 remove 68 ref 11038 remove 11030 ref appTerm 11080 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 11041 remove 11079 remove cons nil cons cons 11081 def 86 ref subst 11081 remove 151 ref subst 11045 remove 347 ref subst eqMp nil 11046 remove 11044 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 11047 remove 11080 remove appTerm nil cons cons 68 ref 11048 remove 11030 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 9293 ref 11043 remove cons 11049 remove cons nil cons cons 9317 ref subst eqMp eqMp appThm eqMp proveHyp proveHyp eqMp nil 11050 remove 7581 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 11052 remove 7581 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 1134 ref 69 ref 10987 remove 1137 ref appTerm appTerm 7506 ref appTerm absTerm appTerm nil cons cons 68 ref 11053 remove 7506 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 11054 remove 7581 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 11055 remove 7581 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 11056 remove 7581 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 11057 remove 7506 ref appTerm absTerm appTerm nil cons cons 68 ref 11058 remove 7506 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 11059 remove 7581 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 67 ref 7563 remove cons 68 ref 221 ref 7504 ref appTerm nil cons 11082 def cons nil cons cons nil cons cons 136 ref subst proveHyp nil 10963 remove 1398 remove cons nil cons cons 41 ref 3550 remove 301 ref appTerm 11083 def absTerm 11084 def 45 ref appTerm 11085 def betaConv 296 ref 54 ref 11084 ref appTerm 11086 def absTerm 11087 def 297 ref appTerm 11088 def betaConv nil 54 ref 41 ref 54 ref 296 ref 11083 ref absTerm 11089 def appTerm 11090 def absTerm 11091 def appTerm 11092 def axiom nil 67 ref 11092 remove nil cons 11093 def cons 11094 def 68 ref 54 ref 11087 ref appTerm nil cons 11095 def cons nil cons cons nil cons cons 11096 def 136 ref subst proveHyp 11096 ref 86 ref subst 11096 remove 151 ref subst nil 144 ref 11087 remove nil cons cons 11097 def nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 11086 remove nil cons 11098 def cons nil cons nil cons cons 106 ref subst nil 144 ref 11084 remove nil cons cons 11099 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 11083 remove nil cons cons nil cons nil cons cons 106 ref subst 11089 ref 297 ref appTerm 11100 def betaConv 11091 ref 45 ref appTerm 11101 def betaConv nil 11094 remove 68 ref 11101 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 11091 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11090 remove nil cons cons 68 ref 11100 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 11089 remove nil cons cons 314 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 11093 remove cons 114 ref 11095 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 11095 remove cons 68 ref 11088 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 11097 remove 314 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11098 remove cons 68 ref 11085 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 11099 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp 11102 def subst eqMp nil 67 ref 11082 remove cons 68 ref 7505 ref 297 ref appTerm 11103 def nil cons cons nil cons 11104 def cons nil cons cons 151 ref subst proveHyp 1171 remove 75 ref 7505 ref 1172 remove appTerm appTerm 1175 remove appTerm absTerm 11105 def 5652 ref 7498 ref appTerm 11106 def appTerm betaConv sym 11078 ref 7675 remove appThm nil 67 ref 7505 ref 11106 ref appTerm nil cons cons 68 ref 220 ref 11106 ref appTerm 297 ref appTerm 11107 def nil cons 11108 def cons nil cons 11109 def cons nil cons cons 151 ref subst proveHyp nil 67 ref 11064 remove cons 11109 ref cons nil cons cons 136 ref subst 329 ref nil 2405 remove 10887 remove nil cons 11110 def cons nil cons cons 10888 ref subst 826 ref 872 ref 75 ref 300 ref 10889 ref appTerm 11111 def appTerm 11112 def refl 2409 ref appThm absThm appThm trans appThm 11107 ref refl appThm sym nil 871 ref 872 ref 69 ref 872 ref 11112 ref 2416 ref appTerm 11113 def absTerm 11114 def 910 ref appTerm 11115 def appTerm 11107 ref appTerm 11116 def absTerm 11117 def nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 11116 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11115 ref nil cons 11118 def cons 11109 ref cons nil cons cons 11119 def 86 ref subst 11119 remove 151 ref subst 11115 ref betaConv 11115 remove assume eqMp nil 67 ref 11113 remove nil cons 11120 def cons 11109 ref cons nil cons cons 11121 def 136 ref subst proveHyp 11121 ref 86 ref subst 11121 remove 151 ref subst nil 112 ref 11111 ref nil cons cons 11122 def 10098 remove cons nil cons cons 11123 def 127 ref subst 11123 remove 347 ref subst nil 9628 remove 11109 ref cons nil cons cons 136 ref subst nil 144 ref 1134 ref 4467 remove 11107 ref appTerm 11124 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 11124 remove nil cons cons nil cons nil cons cons 106 ref subst nil 4470 remove 11109 ref cons nil cons cons 11125 def 86 ref subst 11125 remove 151 ref subst 4475 remove nil 2465 remove 11109 remove cons nil cons cons 11126 def 136 ref subst proveHyp 11126 ref 86 ref subst 11126 remove 151 ref subst 4477 remove 2469 remove 23 ref "_12574" 1 ref var 11127 def 220 ref 5652 ref 1406 ref 11127 remove varTerm 11128 def appTerm appTerm appTerm 11128 remove appTerm absTerm 11129 def 297 ref appTerm 11130 def appTerm refl 11129 remove 5652 ref 2439 ref appTerm 11131 def appTerm betaConv appThm 33 ref 11130 remove betaConv appThm 220 ref 5652 ref 1406 ref 11131 ref appTerm 11132 def appTerm appTerm 11131 ref appTerm refl appThm trans 11077 remove 23 ref "_12570" 721 ref var 11133 def 300 ref 5652 ref 11133 remove varTerm appTerm appTerm absTerm 11134 def 910 ref appTerm 11135 def appTerm refl 11134 ref 2439 ref appTerm betaConv appThm 33 ref 11135 remove betaConv appThm 300 ref 11131 ref appTerm refl appThm trans 11134 remove refl 3002 remove appThm eqMp 11111 remove assume 11136 def eqMp appThm eqMp sym 11078 ref 10870 remove 2439 ref appTerm 11137 def betaConv nil 10880 remove 68 ref 11137 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 10907 remove 3006 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 6883 remove 1408 ref appTerm 11138 def appTerm 75 ref 44 ref 11131 remove appTerm 28 ref appTerm 11139 def appTerm 853 ref 11132 remove appTerm 2439 ref appTerm 11140 def appTerm 11141 def appTerm 11142 def nil cons cons 68 ref 11140 ref nil cons 11143 def cons nil cons 11144 def cons nil cons cons 136 ref subst proveHyp nil 2220 remove 68 ref 11138 ref nil cons 11145 def cons nil cons cons nil cons cons 136 ref subst 1269 ref 9861 ref subst eqMp nil 67 ref 11145 ref cons 68 ref 69 ref 11141 ref appTerm 11140 ref appTerm 11146 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 11141 remove nil cons 11147 def cons 11144 remove cons nil cons cons 11148 def 86 ref subst 11148 remove 151 ref subst nil 112 ref 11139 remove nil cons cons 114 ref 11143 ref cons nil cons 11149 def cons nil cons cons 347 ref subst eqMp nil 112 ref 11147 ref cons 11149 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 75 ref 11138 remove appTerm 11146 remove appTerm nil cons cons 68 ref 69 ref 11142 remove appTerm 11140 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 9293 remove 11143 remove cons 163 ref 11147 remove cons 166 ref 11145 remove cons nil cons cons cons nil cons cons 9317 remove subst eqMp eqMp appThm eqMp proveHyp proveHyp eqMp nil 2464 remove 114 ref 11108 remove cons nil cons 11150 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 4488 remove 11150 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 4489 remove 11107 ref appTerm absTerm appTerm nil cons cons 68 ref 4451 remove 11107 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 4490 remove 11150 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 11120 remove cons 11150 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 11118 remove cons 11150 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 11117 remove appTerm nil cons cons 68 ref 69 ref 794 ref 11114 ref appTerm appTerm 11107 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 11114 remove nil cons cons 11150 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp eqMp 309 ref 144 ref 11105 ref nil cons cons 41 ref 11106 remove nil cons cons nil cons cons nil cons cons 594 ref subst proveHyp nil 67 ref 39 ref 11105 remove appTerm nil cons cons 11104 remove cons nil cons cons 136 ref subst proveHyp nil 5897 ref 312 remove cons 11151 def 10964 ref cons nil cons cons 5897 ref 69 ref 39 ref 296 ref 9282 remove 300 ref 5898 ref appTerm appTerm 11152 def absTerm 11153 def appTerm 11154 def appTerm 11155 def 9350 ref appTerm 11156 def absTerm 11157 def 5898 ref appTerm 11158 def betaConv 41 ref 54 ref 11157 ref appTerm 11159 def absTerm 11160 def 45 ref appTerm 11161 def betaConv nil 54 ref 41 ref 54 ref 296 ref 54 ref 5897 ref 69 ref 11152 ref appTerm 9350 ref appTerm absTerm 11162 def appTerm 11163 def absTerm 11164 def appTerm 11165 def absTerm 11166 def appTerm 11167 def axiom nil 67 ref 11167 ref nil cons 11168 def cons 11169 def 68 ref 54 ref 11160 ref appTerm nil cons 11170 def cons nil cons cons nil cons cons 11171 def 136 ref subst proveHyp 11171 ref 86 ref subst 11171 remove 151 ref subst nil 144 ref 11160 remove nil cons cons 11172 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 11159 remove nil cons 11173 def cons nil cons nil cons cons 106 ref subst nil 144 ref 11157 remove nil cons cons 11174 def nil cons nil cons cons 326 ref subst 5897 ref nil 99 ref 11156 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11154 remove nil cons 11175 def cons 11176 def 9352 ref cons nil cons cons 11177 def 86 ref subst 11177 remove 151 ref subst nil 11169 ref 9352 ref cons nil cons cons 11178 def 136 ref subst nil 11176 remove 68 ref 69 ref 11167 remove appTerm 9350 remove appTerm 11179 def nil cons 11180 def cons nil cons 11181 def cons nil cons cons 136 ref subst nil 144 ref 296 ref 69 ref 11153 ref 297 ref appTerm 11182 def appTerm 11179 ref appTerm 11183 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 11183 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11182 ref nil cons 11184 def cons 11181 ref cons nil cons cons 11185 def 86 ref subst 11185 remove 151 ref subst 11182 ref betaConv 11182 remove assume eqMp nil 67 ref 11152 remove nil cons 11186 def cons 11187 def 11181 remove cons nil cons cons 11188 def 136 ref subst proveHyp 11188 ref 86 ref subst 11188 remove 151 ref subst 11178 ref 86 ref subst 11178 remove 151 ref subst nil 11187 remove 9352 remove cons nil cons cons 136 ref subst 11162 ref 5898 remove appTerm 11189 def betaConv 11164 ref 297 ref appTerm 11190 def betaConv 11166 ref 45 ref appTerm 11191 def betaConv nil 11169 remove 68 ref 11191 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 11166 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11165 remove nil cons cons 68 ref 11190 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 11164 remove nil cons cons 314 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11163 remove nil cons cons 68 ref 11189 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 11162 remove nil cons cons 5943 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 112 ref 11168 remove cons 11192 def 114 ref 9351 remove cons nil cons 11193 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 11186 remove cons 114 ref 11180 remove cons nil cons 11194 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 11184 remove cons 11194 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 1134 ref 69 ref 11153 ref 1137 ref appTerm appTerm 11179 ref appTerm absTerm appTerm nil cons cons 68 ref 11155 remove 11179 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 11153 remove nil cons cons 11194 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 112 ref 11175 remove cons 11193 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 11192 remove 114 ref 11170 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 11170 remove cons 68 ref 11161 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 11172 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11173 remove cons 68 ref 11158 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 11174 remove 5943 remove cons nil cons cons 161 ref subst eqMp eqMp 11195 def subst eqMp eqMp eqMp 309 ref 144 ref 11066 ref nil cons cons 10964 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 39 ref 11066 remove appTerm nil cons cons 7645 ref cons nil cons cons 136 ref subst proveHyp nil 11151 remove nil cons nil cons cons 11195 ref subst eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 11060 remove cons 7686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp 324 ref 317 ref 10853 remove nil cons cons 356 ref 10884 remove cons nil cons cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 10879 remove cons 114 ref 10858 remove cons nil cons 11196 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 10877 remove cons 11196 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 7586 ref 7587 ref 69 ref 10872 ref 7587 ref varTerm 11197 def appTerm appTerm 10854 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 10873 remove appTerm 10854 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 7542 ref 7529 ref 10872 remove nil cons cons 11196 remove cons nil cons cons 929 ref subst eqMp eqMp proveHyp eqMp absThm eqMp eqMp absThm eqMp nil 1422 ref 10857 remove appTerm thm 7598 remove 837 ref 8647 remove 8621 ref 8648 remove 8612 ref 33 ref 4525 ref 8614 ref 329 ref 8653 remove appThm 8654 remove appThm absThm appThm appThm 54 ref 41 ref 757 ref 795 ref 69 ref 840 ref appTerm 11198 def 8630 remove appTerm 11199 def absTerm 11200 def appTerm 11201 def absTerm 11202 def appTerm 11203 def refl appThm absThm appThm absThm appThm absThm appThm sym nil 2956 ref 837 ref 8643 ref 8621 ref 8638 ref 8612 ref 23 ref 4524 ref 8614 ref 8727 remove 8628 ref appTerm 11204 def absTerm 11205 def appTerm 11206 def appTerm 11203 ref appTerm 11207 def absTerm 11208 def appTerm 11209 def absTerm 11210 def appTerm 11211 def absTerm nil cons cons nil cons nil cons cons 8362 ref subst 837 ref nil 99 ref 11211 remove nil cons cons nil cons nil cons cons 106 ref subst nil 8669 remove 11210 remove nil cons cons nil cons nil cons cons 8671 remove subst 8621 ref nil 99 ref 11209 remove nil cons cons nil cons nil cons cons 106 ref subst nil 8672 remove 11208 remove nil cons cons nil cons nil cons cons 8674 remove subst 8612 ref nil 99 ref 11207 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11206 ref nil cons 11212 def cons 11213 def 68 ref 11203 ref nil cons 11214 def cons nil cons cons nil cons cons 11215 def 348 ref subst 11215 ref 86 ref subst 11215 remove 151 ref subst nil 144 ref 11202 ref nil cons cons 11216 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 11201 remove nil cons 11217 def cons nil cons nil cons cons 106 ref subst nil 871 ref 11200 ref nil cons cons 11218 def nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11199 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 904 remove cons 68 ref 8742 remove cons nil cons 11219 def cons nil cons cons 11220 def 86 ref subst 11220 ref 151 ref subst 8755 remove nil 67 ref 8750 remove cons 11219 remove cons nil cons cons 136 ref subst proveHyp nil 8614 ref 8753 remove cons nil cons nil cons cons 11205 ref 8616 ref appTerm 11221 def betaConv nil 11213 remove 68 ref 11221 remove nil cons cons nil cons cons nil cons cons 136 ref subst 4519 ref 4565 ref 11205 remove nil cons cons 11222 def 8651 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp 8744 remove deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 11212 ref cons 114 ref 11214 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 11206 ref appTerm 11203 ref appTerm nil cons cons 68 ref 69 ref 11203 ref appTerm 11206 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 11214 ref cons 11223 def 68 ref 11212 ref cons nil cons cons nil cons cons 11224 def 86 ref subst 11224 remove 151 ref subst nil 11222 remove nil cons nil cons cons 4566 ref subst 8614 ref nil 99 ref 11204 remove nil cons 11225 def cons nil cons nil cons cons 106 ref subst nil 144 ref 41 ref 8689 remove 8628 ref appTerm 11226 def absTerm 11227 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 11226 remove nil cons cons nil cons nil cons cons 106 ref subst nil 8693 remove 68 ref 8685 remove cons nil cons 11228 def cons nil cons cons 11229 def 86 ref subst 11229 remove 151 ref subst 8695 remove nil 8696 remove 11228 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 8698 remove 8628 ref appTerm 11230 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11230 remove nil cons cons nil cons nil cons cons 106 ref subst nil 8701 remove 11228 ref cons nil cons cons 11231 def 86 ref subst 11231 remove 151 ref subst 8703 remove nil 8705 remove 11228 remove cons nil cons cons 11232 def 136 ref subst proveHyp 11232 ref 86 ref subst 11232 remove 151 ref subst 8708 remove 8709 remove 8717 remove 11220 remove 136 ref subst 11200 remove 799 ref appTerm 11233 def betaConv 11202 remove 45 ref appTerm 11234 def betaConv nil 11223 remove 68 ref 11234 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 11216 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11217 remove cons 68 ref 11233 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 11218 remove 1462 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 8720 remove 8686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 8722 remove 8686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 8723 remove 8628 ref appTerm absTerm appTerm nil cons cons 68 ref 8724 remove 8628 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 8725 remove 8686 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 8726 remove 8686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 11227 remove appTerm nil cons cons 68 ref 11225 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 8728 remove 8686 remove cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp eqMp nil 112 ref 11214 remove cons 114 ref 11212 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 2953 ref 837 ref 8643 remove 8621 remove 8638 remove 8612 remove 23 ref 4524 ref 8614 ref 69 ref 8626 remove appTerm 8628 remove appTerm absTerm appTerm appTerm 11203 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 8757 remove nil 8758 remove thm nil 317 ref 6390 ref 812 ref 6392 ref 288 ref 6391 ref 812 ref 6393 ref 23 ref 787 ref 6401 remove appTerm 6402 remove appTerm appTerm 251 ref 75 ref 251 ref 27 ref 6394 ref appTerm 11235 def 13 ref appTerm 11236 def appTerm 11237 def 1433 ref 6397 ref appTerm 11238 def 1509 ref appTerm 11239 def appTerm appTerm 251 ref 27 ref 6395 ref appTerm 13 remove appTerm 11240 def appTerm 11241 def 1433 ref 6398 ref appTerm 1509 ref appTerm 11242 def appTerm 11243 def appTerm appTerm 11244 def 75 ref 11235 remove 6395 ref appTerm appTerm 11238 remove 6398 ref appTerm 11245 def appTerm appTerm appTerm 11246 def absTerm 11247 def appTerm 11248 def absTerm 11249 def appTerm 11250 def absTerm 11251 def appTerm 11252 def absTerm 11253 def nil cons cons nil cons nil cons cons 327 ref subst 6390 remove nil 99 ref 11252 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 11251 remove nil cons cons nil cons nil cons cons 3128 ref subst 6392 ref nil 99 ref 11250 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 11249 remove nil cons cons nil cons nil cons cons 327 ref subst 6391 remove nil 99 ref 11248 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 11247 remove nil cons cons nil cons nil cons cons 3128 ref subst 6393 ref nil 99 ref 11246 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 6500 remove 742 remove 1041 ref subst subst 544 ref nil 6512 ref 6411 ref cons 6511 ref 6413 remove cons 6408 remove 6507 ref cons cons cons nil cons cons 6667 ref subst 1259 ref nil 15 ref 6507 ref cons nil cons cons 1041 ref subst appThm 11254 def 1259 ref nil 1511 ref 6509 ref cons nil cons cons 897 ref 1041 ref subst 11255 def subst 11256 def appThm 75 ref 686 ref 6394 ref appTerm 11257 def 6395 ref appTerm 11258 def appTerm 11259 def 3050 ref 6397 ref appTerm 11260 def 6398 ref appTerm 11261 def appTerm 11262 def refl 11263 def appThm appThm trans appThm nil 6512 ref 6407 remove cons 6511 remove 6409 remove cons 6412 remove 6414 remove nil cons 11264 def cons cons cons nil cons cons 6667 remove subst 1259 ref nil 15 remove 11264 ref cons nil cons cons 1041 ref subst appThm 11265 def 1259 ref nil 1511 ref 1548 ref 6411 remove cons nil cons 11266 def cons nil cons cons 11255 ref subst 11267 def appThm 75 ref 686 ref 6395 ref appTerm 11268 def 6394 ref appTerm 11269 def appTerm 11270 def 3050 ref 6398 ref appTerm 11271 def 6397 ref appTerm 11272 def appTerm 11273 def refl 11274 def appThm appThm trans appThm trans appThm 1259 ref 544 ref 11254 remove 11256 remove appThm appThm 11265 remove 11267 remove appThm appThm appThm 544 ref 6508 remove 1041 remove subst appThm 6510 ref 11255 remove subst appThm appThm appThm sym 33 ref 544 ref 1259 ref 544 ref nil 6507 remove nil cons cons 11275 def 3514 ref subst 11276 def appThm 11275 remove 702 ref subst 11277 def appThm nil 99 ref 11236 ref nil cons 11278 def cons nil cons nil cons cons 1362 ref subst trans appThm 11279 def 1259 ref 544 ref nil 6509 ref nil cons cons 11280 def 897 ref 3514 ref subst 11281 def subst 11282 def appThm 11280 ref 897 ref 702 ref subst 11283 def subst 11284 def appThm nil 99 ref 11239 ref nil cons 11285 def cons nil cons nil cons cons 11286 def 1362 ref subst 11287 def trans 11288 def appThm 11263 ref appThm appThm appThm 1259 ref 544 ref nil 11264 remove nil cons cons 11289 def 3514 remove subst 11290 def appThm 11289 remove 702 remove subst 11291 def appThm nil 99 ref 11240 ref nil cons 11292 def cons nil cons nil cons cons 11293 def 1362 ref subst trans appThm 11294 def 1259 ref 544 ref nil 11266 ref nil cons cons 11295 def 11281 remove subst 11296 def appThm 11295 ref 11283 remove subst 11297 def appThm nil 99 ref 11242 ref nil cons 11298 def cons nil cons nil cons cons 11299 def 1362 ref subst trans 11300 def appThm 11274 ref appThm appThm appThm appThm 1259 ref 544 ref 11279 remove 11288 remove appThm appThm 11294 remove 11300 remove appThm appThm appThm 75 ref 11259 ref 11269 ref appTerm 11301 def appTerm 11302 def 75 ref 11261 ref appTerm 11272 ref appTerm 11303 def appTerm 11304 def refl 11305 def appThm appThm sym nil 67 ref 34 ref 11236 ref appTerm nil cons 11306 def cons 11307 def 68 ref 23 ref 75 ref 11237 remove 251 ref 11239 ref appTerm 11308 def 11262 ref appTerm 11309 def appTerm appTerm 11241 ref 251 ref 11242 ref appTerm 11310 def 11273 ref appTerm 11311 def appTerm 11312 def appTerm appTerm 11244 remove 11304 ref appTerm appTerm nil cons 11313 def cons nil cons 11314 def cons nil cons cons 11315 def 86 ref subst 11315 remove 151 ref subst 33 ref 544 ref 1259 ref nil 11307 remove 68 ref 23 ref 11236 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 112 ref 11278 ref cons 11316 def nil cons nil cons cons 1095 ref subst eqMp 11317 def appThm 11318 def 11309 ref refl appThm nil 99 ref 11309 ref nil cons cons nil cons nil cons cons 1308 ref subst trans appThm 11312 ref refl appThm appThm 1259 ref 544 ref 11318 remove 11239 ref refl 11319 def appThm 11286 ref 1308 ref subst trans appThm 11243 ref refl 11320 def appThm appThm 11305 ref appThm appThm sym nil 67 ref 34 ref 11240 ref appTerm nil cons 11321 def cons 11322 def 68 ref 23 ref 75 ref 11309 remove appTerm 11323 def 11312 remove appTerm appTerm 251 ref 75 ref 11239 ref appTerm 11324 def 11243 ref appTerm appTerm 11304 ref appTerm appTerm nil cons 11325 def cons nil cons 11326 def cons nil cons cons 11327 def 86 ref subst 11327 remove 151 ref subst 33 ref 11323 ref refl 1259 ref nil 11322 ref 68 ref 23 ref 11240 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 112 ref 11292 ref cons 11328 def nil cons nil cons cons 1095 ref subst eqMp 11329 def appThm 11330 def 11311 ref refl 11331 def appThm nil 99 ref 11311 ref nil cons cons nil cons nil cons cons 1308 ref subst trans appThm appThm 1259 ref 11324 ref refl 11332 def 11330 ref 11242 ref refl 11333 def appThm 11299 ref 1308 ref subst 11334 def trans 11335 def appThm appThm 11305 ref appThm appThm sym nil 67 ref 34 ref 11239 ref appTerm nil cons 11336 def cons 11337 def 68 ref 23 ref 11323 remove 11311 ref appTerm appTerm 251 ref 11324 remove 11242 ref appTerm appTerm 11304 ref appTerm appTerm nil cons 11338 def cons nil cons 11339 def cons nil cons cons 11340 def 86 ref subst 11340 remove 151 ref subst 33 ref 544 ref 1259 ref nil 11337 remove 68 ref 23 ref 11239 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 112 ref 11285 ref cons 11341 def nil cons nil cons cons 1095 ref subst eqMp 11342 def appThm 11263 remove appThm nil 99 ref 11262 ref nil cons 11343 def cons nil cons nil cons cons 1308 ref subst trans appThm 11331 remove appThm appThm 1259 ref 544 ref 11342 ref appThm 11333 ref appThm 11299 ref 549 ref subst trans appThm 11305 ref appThm nil 99 ref 11304 ref nil cons 11344 def cons nil cons nil cons cons 1308 ref subst trans appThm sym nil 67 ref 34 ref 11242 ref appTerm nil cons 11345 def cons 11346 def 68 ref 23 ref 75 ref 11262 remove appTerm 11347 def 11311 remove appTerm appTerm 11304 ref appTerm nil cons 11348 def cons nil cons 11349 def cons nil cons cons 11350 def 86 ref subst 11350 remove 151 ref subst 33 ref 11347 ref refl 1259 ref nil 11346 ref 68 ref 23 ref 11242 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 112 ref 11298 ref cons 11351 def nil cons nil cons cons 1095 ref subst eqMp 11352 def appThm 11353 def 11274 remove appThm nil 99 ref 11273 ref nil cons 11354 def cons nil cons nil cons cons 1308 ref subst trans appThm appThm 11305 remove appThm sym nil 67 ref 11347 remove 11273 remove appTerm 11355 def nil cons 11356 def cons 68 ref 11344 ref cons nil cons cons nil cons cons 11357 def 348 ref subst 11357 ref 86 ref subst 11357 remove 151 ref subst nil 112 ref 11343 ref cons 114 ref 11354 ref cons nil cons cons nil cons cons 11358 def 127 ref subst 11359 def nil 112 ref 11258 remove nil cons 11360 def cons 11361 def 114 ref 11261 ref nil cons 11362 def cons nil cons cons nil cons cons 11363 def 127 ref subst proveHyp nil 67 ref 11360 ref cons 11364 def 68 ref 11269 remove nil cons 11365 def cons nil cons cons nil cons cons 151 ref subst proveHyp 11358 remove 347 ref subst 11366 def nil 112 ref 11365 ref cons 114 ref 11272 ref nil cons 11367 def cons nil cons 11368 def cons nil cons cons 11369 def 127 ref subst proveHyp eqMp nil 67 ref 11301 remove nil cons 11370 def cons 68 ref 11303 ref nil cons 11371 def cons nil cons cons nil cons cons 151 ref subst proveHyp 11359 remove 11363 remove 347 ref subst proveHyp nil 67 ref 11362 ref cons 68 ref 11367 ref cons nil cons 11372 def cons nil cons cons 151 ref subst proveHyp 11366 remove 11369 remove 347 ref subst proveHyp eqMp eqMp eqMp nil 112 ref 11356 ref cons 114 ref 11344 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 11355 ref appTerm 11304 ref appTerm nil cons cons 68 ref 69 ref 11304 remove appTerm 11355 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 11344 ref cons 68 ref 11356 ref cons nil cons cons nil cons cons 11373 def 86 ref subst 11373 remove 151 ref subst nil 112 ref 11370 ref cons 114 ref 11371 ref cons nil cons cons nil cons cons 11374 def 127 ref subst 11375 def nil 11361 remove 114 ref 11365 ref cons nil cons cons nil cons cons 11376 def 127 ref subst proveHyp nil 11364 remove 68 ref 11362 ref cons nil cons cons nil cons cons 151 ref subst proveHyp 11374 remove 347 ref subst 11377 def nil 112 ref 11362 ref cons 11368 remove cons nil cons cons 11378 def 127 ref subst proveHyp eqMp nil 67 ref 11343 remove cons 68 ref 11354 remove cons nil cons cons nil cons cons 151 ref subst proveHyp 11375 remove 11376 remove 347 ref subst proveHyp nil 67 ref 11365 ref cons 11372 remove cons nil cons cons 151 ref subst proveHyp 11377 remove 11378 remove 347 ref subst proveHyp eqMp eqMp eqMp nil 112 ref 11344 remove cons 114 ref 11356 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 112 ref 11345 ref cons 11379 def 114 ref 11348 ref cons nil cons 11380 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 11298 ref cons 11381 def 11349 remove cons nil cons cons 11382 def 86 ref subst 11382 remove 151 ref subst 33 ref 544 ref 11259 remove refl 11383 def 11260 ref refl 11242 ref assume 11384 def appThm 11282 remove 11342 remove trans trans 11385 def appThm nil 99 ref 11360 remove cons nil cons nil cons cons 11386 def 1106 ref subst trans appThm 1259 ref 2755 ref 11384 ref appThm 1509 ref refl 11387 def appThm 1607 ref trans 11388 def appThm 11389 def 11270 ref refl 11390 def 3050 ref refl 11391 def 11384 remove appThm 6397 ref refl appThm 11284 remove trans 11392 def appThm nil 99 ref 11365 remove cons nil cons nil cons cons 11393 def 1362 ref subst 11394 def trans appThm 11393 ref 1351 ref subst 11395 def trans appThm 5263 ref trans appThm 11302 ref refl 11396 def 544 ref 11385 remove appThm 11392 remove appThm 5263 ref trans appThm nil 99 ref 11370 remove cons nil cons nil cons cons 11397 def 1106 ref subst 11398 def trans appThm 554 ref trans sym 105 ref eqMp eqMp nil 11351 ref 11380 remove cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 11242 ref appTerm 11399 def betaConv 1384 ref nil 1385 ref 68 ref 11399 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 166 ref 11298 remove cons nil cons 11400 def cons nil cons cons 161 ref subst eqMp eqMp 11401 def nil 11351 ref 114 ref 11345 remove cons 11402 def 261 ref 11348 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 112 ref 11336 ref cons 114 ref 11338 ref cons nil cons 11403 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 11285 ref cons 11339 remove cons nil cons cons 11404 def 86 ref subst 11404 remove 151 ref subst 33 ref 544 ref 1259 ref 2755 ref 11239 ref assume 11405 def appThm 11387 remove appThm 1607 remove trans 11406 def appThm 11383 remove 11391 ref 11405 ref appThm 6398 ref refl appThm 11297 remove trans 11407 def appThm 11386 ref 1362 ref subst trans appThm 11386 remove 1351 ref subst trans appThm 11310 ref refl 11408 def 11390 ref 11271 ref refl 11405 remove appThm 11296 remove trans 11409 def appThm appThm appThm nil 99 ref 11310 ref 11270 remove 11242 ref appTerm appTerm 11410 def nil cons cons nil cons nil cons cons 562 ref subst trans appThm 1259 ref 544 ref 11406 remove appThm 11333 ref appThm 11299 ref 562 ref subst 11411 def trans appThm 11396 ref 544 ref 11407 remove appThm 11409 remove appThm 11411 remove trans appThm appThm appThm sym nil 11346 remove 68 ref 23 ref 11410 remove appTerm 11310 ref 11302 remove 11242 remove appTerm appTerm appTerm nil cons 11412 def cons nil cons 11413 def cons nil cons cons 11414 def 86 ref subst 11414 remove 151 ref subst 33 ref 11353 ref 11390 ref 11352 ref appThm 11393 remove 1106 remove subst trans appThm 3940 ref trans appThm 11353 remove 11396 ref 11352 remove appThm 11398 remove trans appThm 3940 ref trans appThm 554 ref trans sym 105 ref eqMp eqMp nil 11379 remove 114 ref 11412 ref cons nil cons 11415 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 11381 remove 11413 remove cons nil cons cons 11416 def 86 ref subst 11416 remove 151 ref subst 33 ref 11389 ref 11390 remove 11388 ref appThm 11394 remove trans appThm 11395 remove trans appThm 11389 remove 11396 remove 11388 remove appThm 11397 ref 1362 ref subst trans appThm 11397 remove 1351 ref subst trans appThm 527 ref trans sym 105 ref eqMp eqMp nil 11351 ref 11415 remove cons nil cons cons 127 ref subst deductAntisym eqMp 11401 remove nil 11351 remove 11402 remove 261 ref 11412 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 11341 ref 11403 remove cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 11239 remove appTerm 11417 def betaConv 1384 ref nil 1385 ref 68 ref 11417 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 166 ref 11285 remove cons nil cons 11418 def cons nil cons cons 161 ref subst eqMp eqMp nil 11341 remove 114 ref 11336 remove cons 261 ref 11338 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 112 ref 11321 ref cons 11419 def 114 ref 11325 ref cons nil cons 11420 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 11292 ref cons 11421 def 11326 remove cons nil cons cons 11422 def 86 ref subst 11422 remove 151 ref subst 33 ref 544 ref 11308 ref refl 11423 def 544 ref 11257 remove refl 11240 ref assume 11424 def appThm 11276 remove 11317 remove trans trans appThm 11425 def 11261 ref refl 11426 def appThm nil 99 ref 11362 remove cons nil cons nil cons cons 11427 def 549 ref subst trans appThm 11286 ref 1186 ref subst 11428 def trans appThm 1259 ref 640 ref 11424 ref appThm 683 ref appThm 1215 ref trans 11429 def appThm 11430 def 11408 ref 544 ref 1035 ref 11424 remove appThm 6394 remove refl appThm 11277 remove trans 11431 def appThm 11272 ref refl 11432 def appThm nil 99 ref 11367 remove cons nil cons nil cons cons 11433 def 562 ref subst 11434 def trans appThm appThm nil 99 ref 11310 ref 11272 ref appTerm nil cons cons nil cons nil cons cons 1351 ref subst 11435 def trans appThm 11287 ref trans appThm 1259 ref 11332 remove 11430 ref 11333 remove appThm 11299 ref 1351 ref subst trans 11436 def appThm 11287 remove trans appThm 544 ref 11425 remove 11431 remove appThm 5263 remove trans appThm 11303 ref refl 11437 def appThm nil 99 ref 11371 remove cons nil cons nil cons cons 11438 def 549 ref subst 11439 def trans appThm 11428 remove trans appThm nil 11418 remove nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp nil 11328 ref 11420 remove cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 11240 ref appTerm 11440 def betaConv 1384 ref nil 1385 ref 68 ref 11440 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 166 ref 11292 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp 11441 def nil 11328 ref 114 ref 11321 remove cons 11442 def 261 ref 11325 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 112 ref 11306 ref cons 114 ref 11313 ref cons nil cons 11443 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 11278 ref cons 11314 remove cons nil cons cons 11444 def 86 ref subst 11444 remove 151 ref subst 33 ref 544 ref 1259 ref 640 ref 11236 ref assume 11445 def appThm 683 remove appThm 1215 remove trans appThm 11446 def 11423 remove 544 ref 1035 ref 11445 ref appThm 6395 remove refl appThm 11291 remove trans appThm 11447 def 11426 remove appThm 11427 remove 562 ref subst trans appThm appThm nil 99 ref 11308 remove 11261 remove appTerm nil cons cons nil cons nil cons cons 1351 ref subst trans appThm 11241 ref refl 11408 ref 544 ref 11268 remove refl 11445 remove appThm 11290 remove trans 11448 def appThm 11432 ref appThm appThm appThm appThm nil 99 ref 11241 remove 11310 remove 75 ref 11240 remove appTerm 11449 def 11272 remove appTerm appTerm appTerm 11450 def nil cons cons nil cons nil cons cons 562 ref subst trans appThm 1259 ref 544 ref 11446 remove 11319 remove appThm 11286 remove 1351 ref subst trans appThm 11320 remove appThm nil 99 ref 11243 ref nil cons cons nil cons nil cons cons 562 ref subst trans appThm 544 ref 11447 remove 11448 remove appThm 11293 remove 562 ref subst trans appThm 11437 ref appThm appThm appThm sym nil 11322 remove 68 ref 23 ref 11450 remove appTerm 251 ref 11243 remove appTerm 11449 remove 11303 remove appTerm appTerm appTerm nil cons 11451 def cons nil cons 11452 def cons nil cons cons 11453 def 86 ref subst 11453 remove 151 ref subst 33 ref 11330 remove 11408 ref 544 ref 11329 remove appThm 11454 def 11432 ref appThm 11433 remove 549 ref subst trans appThm 11299 remove 1186 remove subst 11455 def trans appThm 11334 remove trans appThm 1259 ref 11335 remove appThm 11454 remove 11437 ref appThm 11439 remove trans appThm 11455 remove trans appThm nil 11400 remove nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp nil 11419 remove 114 ref 11451 ref cons nil cons 11456 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 11421 remove 11452 remove cons nil cons cons 11457 def 86 ref subst 11457 remove 151 ref subst 33 ref 11430 remove 11408 remove 544 ref 11429 remove appThm 11458 def 11432 remove appThm 11434 remove trans appThm appThm 11435 remove trans appThm 1259 ref 11436 remove appThm 11458 remove 11437 remove appThm 11438 ref 562 ref subst trans appThm 11438 remove 1351 ref subst trans appThm 527 ref trans sym 105 ref eqMp eqMp nil 11328 ref 11456 remove cons nil cons cons 127 ref subst deductAntisym eqMp 11441 remove nil 11328 remove 11442 remove 261 ref 11451 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 11316 ref 11443 remove cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 11236 remove appTerm 11459 def betaConv 1384 ref nil 1385 ref 68 ref 11459 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 166 ref 11278 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 11316 remove 114 ref 11306 remove cons 261 ref 11313 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 11253 remove appTerm thm 5714 remove nil 5715 remove thm nil 1453 ref 1403 ref 23 ref 812 ref 783 ref 812 ref 6512 remove 69 ref 9651 remove 425 ref 426 ref 39 ref 41 ref 428 ref 3531 ref 6515 ref appTerm appTerm absTerm appTerm absTerm appTerm appTerm appTerm 1515 remove 6515 remove appTerm appTerm absTerm appTerm absTerm appTerm appTerm 1433 ref 9664 ref appTerm 738 ref appTerm 11460 def appTerm 11461 def absTerm 11462 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 11461 ref nil cons 11463 def cons nil cons nil cons cons 106 ref subst 5205 ref 23 ref 812 ref 6392 ref 812 ref 6393 ref 69 ref 75 ref 11260 ref 5208 ref appTerm appTerm 11464 def 75 ref 11271 ref 5208 ref appTerm appTerm 11465 def 27 ref 425 ref 426 ref 39 ref 41 ref 428 ref 828 ref 3531 ref 6397 ref appTerm 11466 def appTerm appTerm absTerm appTerm absTerm appTerm appTerm 425 ref 426 ref 39 ref 41 ref 428 ref 828 ref 3531 ref 6398 ref appTerm 11467 def appTerm appTerm absTerm appTerm absTerm appTerm appTerm 11468 def appTerm appTerm appTerm 11245 ref appTerm absTerm appTerm absTerm appTerm appTerm 3050 ref 5208 ref appTerm 11469 def 9664 ref appTerm appTerm absTerm 11470 def 738 ref appTerm 11471 def betaConv 4 ref 812 ref 5205 ref 23 ref 812 ref 6392 ref 812 ref 6393 ref 69 ref 11464 remove 11465 ref 27 ref 425 ref 426 ref 39 ref 41 ref 428 ref 621 ref 11466 ref appTerm 11472 def appTerm absTerm appTerm absTerm appTerm 11473 def appTerm 425 ref 426 ref 39 ref 41 ref 428 ref 621 ref 11467 ref appTerm 11474 def appTerm absTerm appTerm absTerm appTerm 11475 def appTerm appTerm appTerm appTerm 11245 ref appTerm absTerm appTerm absTerm 11476 def appTerm 11477 def appTerm 11469 remove 1408 ref appTerm 11478 def appTerm 11479 def absTerm 11480 def appTerm 11481 def absTerm 11482 def 6 ref appTerm 11483 def betaConv nil 317 ref 11482 ref nil cons cons 11484 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 11481 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 11480 remove nil cons cons nil cons nil cons cons 3128 ref subst 5205 remove nil 99 ref 11479 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11477 ref nil cons 11485 def cons 11486 def 68 ref 11478 ref nil cons 11487 def cons nil cons cons nil cons cons 11488 def 348 ref subst 11488 ref 86 ref subst 11488 remove 151 ref subst nil 6051 remove 1548 ref 5217 remove cons nil cons cons nil cons cons 3059 ref subst 11489 def sym nil 871 ref 795 ref 69 ref 806 ref 5208 ref appTerm 11490 def appTerm 11491 def 1409 ref appTerm 11492 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11492 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11490 ref nil cons 11493 def cons 11494 def 68 ref 1409 ref nil cons 11495 def cons nil cons 11496 def cons nil cons cons 11497 def 86 ref subst 11497 remove 151 ref subst 6393 ref 69 ref 75 ref 3050 ref 4618 ref appTerm 5208 ref appTerm appTerm 11498 def 11465 remove 27 ref 425 ref 426 ref 39 ref 41 ref 428 ref 621 ref 3531 ref 4618 ref appTerm appTerm 11499 def appTerm absTerm appTerm absTerm appTerm 11500 def appTerm 11501 def 11475 ref appTerm appTerm appTerm appTerm 1433 ref 4618 ref appTerm 11502 def 6398 ref appTerm appTerm absTerm 11503 def 1509 ref appTerm 11504 def betaConv 11476 ref 4618 remove appTerm 11505 def betaConv nil 11486 remove 68 ref 11505 remove nil cons cons nil cons cons nil cons cons 136 ref subst 819 ref 820 ref 11476 remove nil cons cons 5785 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 812 ref 11503 ref appTerm nil cons cons 68 ref 11504 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 11503 remove nil cons cons 1605 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 11498 remove 75 ref 3050 ref 1509 ref appTerm 5208 remove appTerm appTerm 11501 remove 425 ref 426 ref 39 ref 41 ref 428 ref 621 ref 3531 ref 1509 ref appTerm appTerm 11506 def appTerm absTerm appTerm absTerm appTerm 11507 def appTerm appTerm appTerm appTerm 11502 remove 1509 remove appTerm appTerm nil cons cons 11496 remove cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 544 ref nil 5218 ref 1548 ref 4621 remove cons nil cons 11508 def cons nil cons cons 3059 ref subst appThm 544 ref nil 5218 ref 1548 ref 1510 remove cons nil cons cons nil cons cons 3059 ref subst appThm nil 11 ref 11507 remove nil cons cons 4 ref 11500 remove nil cons cons nil cons cons nil cons cons 381 ref subst appThm appThm appThm nil 1511 remove 11508 remove cons nil cons cons 1551 ref subst appThm appThm 1409 ref refl appThm sym 329 ref 329 ref 544 ref 758 ref 872 ref 5787 remove 9691 ref refl 11509 def appThm absThm appThm 33 ref 758 ref 872 ref 5790 remove refl 9693 remove appThm absThm appThm appThm 9692 remove 799 ref appTerm betaConv appThm nil 9694 remove 9130 ref cons nil cons cons 897 ref 452 ref 23 ref 54 ref 41 ref 69 ref 2964 ref appTerm 11510 def 58 ref appTerm absTerm appTerm appTerm 457 ref appTerm absTerm 11511 def 453 ref appTerm 11512 def betaConv 56 ref 54 ref 11511 ref appTerm 11513 def absTerm 11514 def 57 ref appTerm 11515 def betaConv nil 65 ref 11514 ref appTerm 11516 def axiom nil 67 ref 11516 remove nil cons cons 68 ref 11515 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 11514 remove nil cons cons 143 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11513 remove nil cons cons 68 ref 11512 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 11511 remove nil cons cons 868 ref cons nil cons cons 161 ref subst eqMp eqMp 11517 def subst subst eqMp nil 99 ref 11493 ref cons nil cons nil cons cons 11518 def 106 ref subst 11490 ref assume eqMp 11519 def trans trans appThm 544 ref 758 ref 872 ref 6654 remove 11509 remove appThm nil 99 ref 9691 ref nil cons cons nil cons nil cons cons 524 ref subst trans absThm appThm 947 ref trans appThm 55 ref 41 ref 33 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 11499 remove absTerm 11520 def 45 ref appTerm betaConv 11521 def appThm absThm appThm absThm appThm appThm appThm 11521 remove appThm nil 56 ref 11520 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 1357 ref 2452 ref 4163 ref subst appThm trans appThm 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 11506 remove absTerm 11522 def 45 ref appTerm betaConv 11523 def appThm absThm appThm absThm appThm appThm appThm 11523 remove appThm nil 56 ref 11522 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 1357 ref 2452 ref 1554 ref subst appThm 1365 remove trans trans appThm nil 99 ref 5668 ref nil cons 11524 def cons nil cons nil cons cons 217 ref subst trans absThm appThm appThm nil 99 ref 54 ref 41 ref 34 ref 5668 remove appTerm 11525 def absTerm 11526 def appTerm 11527 def nil cons 11528 def cons nil cons nil cons cons 11529 def 562 ref subst 11530 def trans appThm 11530 remove trans appThm 758 ref 872 ref 33 ref 4163 remove appThm 1554 remove appThm nil 99 ref 3124 remove cons nil cons nil cons cons 11531 def 217 ref subst trans absThm appThm appThm appThm 1469 ref appThm sym nil 661 ref 5817 remove cons 659 ref 69 ref 11527 ref appTerm 757 ref 872 ref 34 ref 2778 remove appTerm absTerm 11532 def appTerm 11533 def appTerm nil cons cons nil cons cons nil cons cons 659 ref 23 ref 69 ref 667 ref appTerm 665 ref appTerm 11534 def appTerm 69 ref 1367 remove appTerm 1368 remove appTerm 11535 def appTerm 11536 def absTerm 11537 def 667 ref appTerm 11538 def betaConv 661 ref 198 ref 11537 ref appTerm 11539 def absTerm 11540 def 665 ref appTerm 11541 def betaConv 1292 ref 661 ref 1292 ref 659 ref 11536 remove assume sym 23 ref 11535 remove appTerm 11534 remove appTerm 11542 def assume sym deductAntisym absThm appThm absThm appThm nil 198 ref 661 ref 198 ref 659 ref 11542 remove absTerm 11543 def appTerm 11544 def absTerm 11545 def appTerm 11546 def axiom 11547 def eqMp nil 67 ref 198 ref 11540 ref appTerm nil cons cons 68 ref 11541 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 11540 remove nil cons cons 676 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11539 remove nil cons cons 68 ref 11538 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 11537 remove nil cons cons 677 ref cons nil cons cons 161 ref subst eqMp eqMp subst sym 329 ref 33 ref 35 ref 40 ref 41 ref 5826 ref absThm appThm appThm appThm 55 ref 41 ref 35 ref 5826 remove appThm absThm appThm appThm nil 56 ref 5841 remove cons nil cons nil cons cons 162 ref subst eqMp appThm nil 659 ref 11533 remove nil cons cons 661 ref 11528 ref cons nil cons cons nil cons cons 6178 ref subst 75 ref 11527 remove appTerm refl 33 ref 35 ref 758 ref 872 ref 11532 ref 910 ref appTerm betaConv 11548 def absThm appThm appThm appThm 826 ref 872 ref 35 ref 11548 remove appThm absThm appThm appThm nil 1461 ref 11532 remove nil cons cons nil cons nil cons cons 897 ref 2172 ref subst subst eqMp 826 ref 872 ref 11531 remove 210 ref subst absThm appThm nil 9130 ref nil cons cons 897 ref nil 99 ref 39 ref 4120 remove appTerm 11549 def nil cons cons nil cons nil cons cons 106 ref subst 452 ref 11549 remove absTerm 11550 def 453 ref appTerm 11551 def betaConv nil 54 ref 11550 ref appTerm 11552 def axiom nil 67 ref 11552 remove nil cons cons 68 ref 11551 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 11550 remove nil cons cons 868 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp subst subst trans trans appThm 11529 remove 1362 ref subst trans trans appThm sym nil 67 ref 54 ref 41 ref 34 ref 1415 remove appTerm 11553 def absTerm 11554 def appTerm nil cons 11555 def cons 11556 def 68 ref 11528 ref cons nil cons cons nil cons cons 11557 def 86 ref subst 11557 remove 151 ref subst nil 144 ref 11526 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 11525 remove nil cons cons nil cons nil cons cons 106 ref subst nil 112 ref 11524 ref cons 11558 def nil cons nil cons cons 1070 ref subst nil 67 ref 11524 remove cons 1072 ref cons nil cons cons 11559 def 86 ref subst 11559 remove 151 ref subst nil 1731 ref 114 ref 5721 remove cons nil cons cons nil cons cons 11560 def 127 ref subst 11560 remove 347 ref subst 11554 ref 45 ref appTerm 11561 def betaConv nil 11556 remove 68 ref 11561 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 11554 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11553 remove nil cons 11562 def cons 1072 ref cons nil cons cons 136 ref subst proveHyp nil 99 ref 11562 remove cons nil cons nil cons cons 1077 remove subst nil 99 ref 5828 remove cons nil cons nil cons cons 210 remove subst trans 544 ref 3834 ref 2859 remove assume appThm 3874 ref trans appThm 1741 ref appThm 941 ref trans trans sym 105 ref eqMp eqMp proveHyp proveHyp eqMp nil 11558 remove 1079 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp nil 112 ref 11555 remove cons 114 ref 11528 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 112 ref 11493 remove cons 11563 def 114 ref 11495 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 11485 remove cons 114 ref 11487 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 11477 ref appTerm 11478 ref appTerm nil cons cons 68 ref 69 ref 11478 remove appTerm 11477 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp 329 ref 11489 remove 758 ref 872 ref 69 ref 9691 ref appTerm 11564 def refl 2409 remove appThm absThm appThm trans appThm 1522 ref 6392 ref 1522 ref 6393 ref 329 ref 544 ref nil 5218 ref 6509 remove cons nil cons cons 3059 ref subst appThm 544 ref nil 5218 remove 11266 remove cons nil cons cons 3059 ref subst appThm nil 11 ref 11475 remove nil cons cons 4 ref 11473 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 11472 ref absTerm 11565 def 45 ref appTerm betaConv 11566 def appThm absThm appThm absThm appThm appThm appThm 11566 remove appThm nil 56 ref 11565 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp appThm 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 11474 ref absTerm 11567 def 45 ref appTerm betaConv 11568 def appThm absThm appThm absThm appThm appThm appThm 11568 remove appThm nil 56 ref 11567 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp appThm absThm appThm trans appThm appThm appThm 6510 remove 1551 ref subst appThm absThm appThm absThm appThm appThm sym nil 67 ref 757 ref 872 ref 11564 remove 2416 remove appTerm absTerm 11569 def appTerm nil cons 11570 def cons 11571 def 68 ref 812 ref 6392 ref 812 ref 6393 ref 69 ref 75 ref 757 ref 872 ref 69 ref 1552 ref 6397 ref appTerm 11572 def appTerm 9691 ref appTerm absTerm 11573 def appTerm 11574 def appTerm 75 ref 757 ref 872 ref 69 ref 1552 ref 6398 ref appTerm 11575 def appTerm 9691 remove appTerm absTerm 11576 def appTerm 11577 def appTerm 54 ref 41 ref 23 ref 11472 remove appTerm 11474 remove appTerm 11578 def absTerm 11579 def appTerm 11580 def appTerm 11581 def appTerm 11582 def appTerm 757 ref 872 ref 23 ref 11572 remove appTerm 11575 remove appTerm absTerm appTerm 11583 def appTerm 11584 def absTerm 11585 def appTerm 11586 def absTerm 11587 def appTerm nil cons 11588 def cons nil cons cons nil cons cons 11589 def 86 ref subst 11589 remove 151 ref subst nil 820 ref 11587 remove nil cons cons nil cons nil cons cons 3128 ref subst 6392 ref nil 99 ref 11586 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 11585 remove nil cons cons nil cons nil cons cons 3128 ref subst 6393 ref nil 99 ref 11584 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11582 remove nil cons 11590 def cons 68 ref 11583 remove nil cons 11591 def cons nil cons cons nil cons cons 11592 def 86 ref subst 11592 remove 151 ref subst nil 112 ref 11574 remove nil cons 11593 def cons 114 ref 11581 remove nil cons cons nil cons cons nil cons cons 11594 def 127 ref subst 11594 remove 347 ref subst nil 112 ref 11577 remove nil cons 11595 def cons 114 ref 11580 remove nil cons 11596 def cons nil cons cons nil cons cons 11597 def 127 ref subst 11597 remove 347 ref subst nil 871 ref 795 ref 23 ref 806 ref 6397 ref appTerm 11598 def appTerm 806 ref 6398 ref appTerm 11599 def appTerm 11600 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11600 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11598 ref nil cons 11601 def cons 68 ref 11599 ref nil cons 11602 def cons nil cons 11603 def cons nil cons cons 11604 def 348 ref subst 11604 ref 86 ref subst 11604 remove 151 ref subst 11573 ref 799 ref appTerm 11605 def betaConv nil 67 ref 11593 remove cons 68 ref 11605 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 11573 remove nil cons cons 1462 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 11598 ref appTerm 11606 def 11490 ref appTerm nil cons cons 11603 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 11601 ref cons nil cons nil cons cons 106 ref subst 11598 ref assume 11607 def eqMp appThm 11490 ref refl 11608 def appThm 11518 remove 2033 ref subst 11609 def trans appThm 11599 ref refl 11610 def appThm sym nil 11494 ref 11603 ref cons nil cons cons 11611 def 86 ref subst 11611 remove 151 ref subst 11569 ref 799 ref appTerm 11612 def betaConv nil 11571 remove 68 ref 11612 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 11569 remove nil cons cons 1462 ref cons nil cons cons 161 ref subst eqMp eqMp 11613 def nil 67 ref 11491 remove 1417 ref appTerm nil cons cons 11614 def 11603 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 11519 remove appThm 10869 remove appThm 5818 remove 2033 ref subst trans appThm 11615 def 11610 remove appThm sym nil 144 ref 41 ref 5820 ref 11599 ref appTerm 11616 def absTerm 11617 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 11616 remove nil cons cons nil cons nil cons cons 106 ref subst nil 5824 ref 11603 ref cons nil cons cons 11618 def 86 ref subst 11618 remove 151 ref subst 5827 ref nil 5829 ref 11603 remove cons nil cons cons 11619 def 136 ref subst proveHyp 11619 ref 86 ref subst 11619 remove 151 ref subst 5832 ref 5833 ref 23 ref "_12612" 721 ref var 11620 def 805 ref 11620 remove varTerm appTerm 6398 remove appTerm absTerm 11621 def 799 ref appTerm 11622 def appTerm refl 11621 ref 1412 ref appTerm betaConv appThm 33 ref 11622 remove betaConv appThm 11467 ref refl 11623 def appThm trans 11621 remove refl 3185 ref appThm eqMp 11624 def sym 11579 ref 45 ref appTerm 11625 def betaConv nil 67 ref 11596 remove cons 68 ref 11625 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 11579 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp 11626 def nil 67 ref 11578 remove nil cons cons 11627 def 68 ref 11467 ref nil cons 11628 def cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 1923 ref nil 99 ref 11466 ref nil cons 11629 def cons nil cons nil cons cons 11630 def 106 ref subst 23 ref "_12616" 721 ref var 11631 def 805 ref 11631 remove varTerm appTerm 6397 remove appTerm absTerm 11632 def 799 ref appTerm 11633 def appTerm refl 11632 ref 1412 ref appTerm betaConv appThm 33 ref 11633 remove betaConv appThm 11466 ref refl 11634 def appThm trans 11632 remove refl 3185 ref appThm eqMp 11635 def 11607 remove eqMp eqMp appThm 941 ref trans appThm 1923 ref 11623 ref appThm nil 99 ref 11628 remove cons nil cons nil cons cons 11636 def 562 ref subst 11637 def trans appThm 11636 ref 242 ref subst trans appThm 11623 ref appThm 11636 ref 409 ref subst trans sym 105 ref eqMp eqMp eqMp proveHyp proveHyp eqMp nil 5837 ref 114 ref 11602 ref cons nil cons 11638 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 5839 ref 11638 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 11617 remove appTerm nil cons cons 68 ref 5840 ref 11599 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 5842 ref 11638 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 11563 ref 11638 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 11601 ref cons 11638 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 11606 remove 11599 ref appTerm nil cons cons 68 ref 69 ref 11599 ref appTerm 11639 def 11598 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 11602 ref cons 68 ref 11601 ref cons nil cons 11640 def cons nil cons cons 11641 def 86 ref subst 11641 remove 151 ref subst 11576 ref 799 ref appTerm 11642 def betaConv nil 67 ref 11595 remove cons 68 ref 11642 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 11576 remove nil cons cons 1462 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11639 remove 11490 remove appTerm nil cons cons 11640 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 11602 ref cons nil cons nil cons cons 106 ref subst 11599 remove assume 11643 def eqMp appThm 11608 remove appThm 11609 remove trans appThm 11598 ref refl 11644 def appThm sym nil 11494 remove 11640 ref cons nil cons cons 11645 def 86 ref subst 11645 remove 151 ref subst 11613 remove nil 11614 remove 11640 ref cons nil cons cons 136 ref subst proveHyp 11615 remove 11644 remove appThm sym nil 144 ref 41 ref 5820 remove 11598 ref appTerm 11646 def absTerm 11647 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 11646 remove nil cons cons nil cons nil cons cons 106 ref subst nil 5824 remove 11640 ref cons nil cons cons 11648 def 86 ref subst 11648 remove 151 ref subst 5827 remove nil 5829 remove 11640 remove cons nil cons cons 11649 def 136 ref subst proveHyp 11649 ref 86 ref subst 11649 remove 151 ref subst 5832 remove 5833 remove 11635 remove sym 11626 remove nil 11627 remove 68 ref 11629 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 1923 ref 11634 ref appThm 11630 ref 562 ref subst 11650 def trans appThm 1923 ref 11636 remove 106 ref subst 11624 remove 11643 remove eqMp eqMp appThm 941 ref trans appThm 11630 ref 247 ref subst trans appThm 11634 ref appThm 11630 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp proveHyp proveHyp eqMp nil 5837 remove 114 ref 11601 remove cons nil cons 11651 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 5839 remove 11651 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 11647 remove appTerm nil cons cons 68 ref 5840 remove 11598 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 5842 remove 11651 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 11563 remove 11651 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 11602 remove cons 11651 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 11590 remove cons 114 ref 11591 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 11570 remove cons 114 ref 11588 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp 11652 def nil 67 ref 288 ref 11482 remove appTerm 11653 def nil cons 11654 def cons 68 ref 11483 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 11484 remove 567 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 812 ref 11470 ref appTerm nil cons cons 68 ref 11471 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 11470 remove nil cons cons 5716 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 23 ref 812 ref 6392 ref 812 ref 6393 ref 69 ref 75 ref 11260 remove 738 ref appTerm appTerm 75 ref 11271 remove 738 ref appTerm appTerm 11468 remove appTerm appTerm appTerm 11245 ref appTerm absTerm appTerm absTerm appTerm appTerm 3050 ref 738 ref appTerm 9664 remove appTerm appTerm nil cons cons 68 ref 11463 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 1522 ref 6392 ref 1522 ref 6393 ref 329 ref 544 ref 11280 remove 5950 ref subst appThm 544 ref 11295 remove 5950 remove subst appThm 640 remove 429 ref 426 ref 40 ref 41 ref 430 ref 1487 ref 11634 remove appThm 11650 remove trans appThm absThm appThm absThm appThm appThm 429 ref 426 ref 40 ref 41 ref 430 ref 1487 ref 11623 remove appThm 11637 remove trans appThm absThm appThm absThm appThm appThm appThm nil 99 ref 27 ref 425 ref 426 ref 39 ref 41 ref 428 ref 11466 remove appTerm absTerm appTerm absTerm appTerm appTerm 425 ref 426 ref 39 ref 41 ref 428 ref 11467 remove appTerm absTerm appTerm absTerm appTerm appTerm 11655 def nil cons cons nil cons nil cons cons 562 ref subst 11656 def trans appThm 11656 remove trans appThm 11245 ref refl appThm absThm appThm absThm appThm appThm 9865 remove 897 ref 2040 ref 28 ref appTerm 11657 def betaConv 2038 remove nil 67 ref 2041 remove nil cons cons 68 ref 11657 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 2040 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp subst subst appThm appThm 11461 remove refl appThm nil 99 ref 23 ref 812 ref 6392 remove 812 ref 6393 remove 69 ref 11655 remove appTerm 11245 remove appTerm absTerm appTerm absTerm appTerm appTerm 11460 remove appTerm nil cons cons nil cons nil cons cons 409 ref subst trans sym 105 ref eqMp eqMp eqMp absThm eqMp nil 1422 ref 11462 remove appTerm thm nil 2956 ref 837 ref 53 ref 18 ref 18 ref 18 ref 1 ref 18 ref 721 ref 4508 ref cons opType nil cons cons opType 11658 def 20 ref cons opType 11659 def 20 ref cons opType constTerm 11660 def "f" 11658 ref var 11661 def 4615 ref 482 ref 18 ref 0 ref 4508 ref opType 11662 def 4508 remove cons opType 11663 def constTerm 423 ref 18 ref 4613 ref 11662 ref nil cons cons opType constTerm "v" 4506 ref var 11664 def 39 ref 41 ref 794 ref 795 ref 75 ref 4615 ref 11664 remove varTerm appTerm 11661 ref varTerm 11665 def 45 ref appTerm 11666 def 799 ref appTerm 11667 def appTerm appTerm 840 ref appTerm absTerm appTerm absTerm appTerm absTerm 11668 def appTerm 11669 def appTerm 11670 def appTerm 8617 ref 8618 ref 8613 ref "a" 4499 ref var 11671 def 75 ref 8619 remove 11671 ref varTerm 11672 def appTerm appTerm 11673 def 54 ref 41 ref 757 ref 795 ref 11198 ref 8615 ref 11672 ref appTerm 11674 def 11667 ref appTerm 11675 def appTerm absTerm 11676 def appTerm 11677 def absTerm 11678 def appTerm 11679 def appTerm absTerm appTerm absTerm 11680 def appTerm 11681 def appTerm 11682 def absTerm 11683 def appTerm 11684 def absTerm 11685 def nil cons cons nil cons nil cons cons 8362 ref subst 837 ref nil 99 ref 11684 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 11659 remove var 11686 def 11683 remove nil cons cons nil cons nil cons cons "A" 11658 remove nil cons cons nil cons 218 ref cons 326 ref subst 11687 def subst 11661 ref nil 99 ref 11682 remove nil cons cons nil cons nil cons cons 106 ref subst nil 4507 ref 11681 remove nil cons cons 4513 ref 11670 remove nil cons cons nil cons cons nil cons cons 4521 ref subst sym 4525 ref 4526 ref 33 ref nil "s" 11662 remove var 11669 ref nil cons cons nil cons nil cons cons 11688 def 4520 ref 516 ref subst subst 10107 remove 4507 ref 329 ref nil "p" 4613 remove var 11668 ref nil cons cons "x" 4506 remove var 11689 def 10397 remove cons nil cons 11690 def cons nil cons cons 10438 ref 449 ref subst subst 11668 remove 10115 ref appTerm betaConv trans 11691 def appThm 10529 ref appThm absThm appThm trans appThm nil 8650 ref 11680 ref nil cons cons nil cons nil cons cons 8652 ref subst 11680 remove 4528 ref appTerm betaConv trans appThm absThm appThm sym nil 4565 ref 4526 ref 23 ref 10106 ref 4507 ref 69 ref 39 ref 41 ref 794 ref 795 ref 75 ref 4615 ref 10115 ref appTerm 11692 def 11667 ref appTerm appTerm 840 remove appTerm absTerm appTerm absTerm 11693 def appTerm 11694 def appTerm 11695 def 10419 ref appTerm 11696 def absTerm 11697 def appTerm 11698 def appTerm 8613 ref 11671 ref 75 ref 4535 remove 11672 ref appTerm 11699 def appTerm 11700 def 11679 ref appTerm 11701 def absTerm 11702 def appTerm 11703 def appTerm 11704 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 4526 ref nil 99 ref 11704 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11698 ref nil cons 11705 def cons 11706 def 68 ref 11703 ref nil cons 11707 def cons nil cons cons nil cons cons 11708 def 348 ref subst 11708 ref 86 ref subst 11708 remove 151 ref subst 11702 ref 4528 ref appTerm betaConv sym 544 ref 4581 remove appThm 11709 def 54 ref 41 ref 757 ref 795 ref 11198 remove 10418 ref 11667 remove appTerm 11710 def appTerm absTerm appTerm absTerm appTerm 11711 def refl appThm nil 99 ref 11711 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym nil 144 ref 1134 ref 757 ref 795 ref 69 ref 8746 remove 799 ref appTerm 11712 def appTerm 10418 ref 11665 remove 1137 ref appTerm 11713 def 799 ref appTerm 11714 def appTerm 11715 def appTerm 11716 def absTerm 11717 def appTerm 11718 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 11718 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 11717 remove nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11716 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11712 ref nil cons 11719 def cons 11720 def 68 ref 11715 ref nil cons 11721 def cons nil cons 11722 def cons nil cons cons 11723 def 86 ref subst 11723 remove 151 ref subst 41 ref 794 ref 3829 ref 75 ref 4615 ref 11714 ref appTerm 11724 def 11666 remove 3830 ref appTerm appTerm appTerm 8751 remove appTerm absTerm appTerm absTerm 11725 def 1137 ref appTerm betaConv sym 3829 ref 75 ref 11724 remove 11713 remove 3830 ref appTerm appTerm appTerm 8747 remove appTerm absTerm 11726 def 799 ref appTerm betaConv sym 544 ref nil 11689 ref 11714 ref nil cons 11727 def cons nil cons 11728 def nil cons cons 10438 remove 224 ref subst subst appThm nil 99 ref 11719 ref cons nil cons nil cons cons 106 ref subst 11712 ref assume eqMp 11729 def appThm 941 ref trans sym 105 ref eqMp eqMp 870 ref 871 ref 11726 remove nil cons cons 1462 ref cons nil cons cons 594 ref subst proveHyp eqMp 309 ref 144 ref 11725 ref nil cons cons 1139 ref cons nil cons cons 594 ref subst proveHyp 11730 def nil 67 ref 39 ref 11725 remove appTerm 11731 def nil cons 11732 def cons 11722 remove cons nil cons cons 136 ref subst proveHyp nil 4507 ref 11727 remove cons nil cons nil cons cons 11697 ref 10115 ref appTerm 11733 def betaConv nil 11706 remove 68 ref 11733 remove nil cons cons nil cons cons nil cons cons 136 ref subst 10437 ref 10436 ref 11697 remove nil cons cons 11734 def 11690 remove cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 112 ref 11719 ref cons 11735 def 114 ref 11721 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 4519 ref 4565 ref 11702 ref nil cons cons 11736 def 4526 ref 4529 remove cons nil cons 11737 def cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 11705 ref cons 114 ref 11707 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 11698 ref appTerm 11703 ref appTerm nil cons cons 68 ref 69 ref 11703 remove appTerm 11698 ref appTerm nil cons cons nil cons 11738 def cons nil cons cons 151 ref subst proveHyp nil 4565 ref 11671 ref 69 ref 11702 ref 11672 ref appTerm 11739 def appTerm 11698 ref appTerm 11740 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 11671 ref nil 99 ref 11740 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11739 ref nil cons 11741 def cons 68 ref 11705 ref cons nil cons 11742 def cons nil cons cons 11743 def 86 ref subst 11743 remove 151 ref subst 11739 ref betaConv 11739 remove assume eqMp nil 67 ref 11701 remove nil cons 11744 def cons 11742 remove cons nil cons cons 11745 def 136 ref subst proveHyp 11745 ref 86 ref subst 11745 remove 151 ref subst nil 112 ref 11699 ref nil cons cons 11746 def 114 ref 11679 remove nil cons 11747 def cons nil cons cons nil cons cons 11748 def 127 ref subst 11748 remove 347 ref subst nil 11734 remove nil cons nil cons cons 10439 ref subst 4507 ref nil 99 ref 11696 remove nil cons 11749 def cons nil cons nil cons cons 106 ref subst nil 144 ref 1134 ref 69 ref 11693 ref 1137 ref appTerm 11750 def appTerm 11751 def 10419 ref appTerm 11752 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 11752 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11750 ref nil cons 11753 def cons 11754 def 10523 ref cons nil cons cons 11755 def 86 ref subst 11755 remove 151 ref subst 11750 ref betaConv 11750 remove assume eqMp 11756 def nil 67 ref 794 ref 795 ref 75 ref 11692 remove 11714 ref appTerm 11757 def appTerm 11712 ref appTerm 11758 def absTerm 11759 def appTerm 11760 def nil cons cons 11761 def 10523 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 69 ref 11759 ref 799 ref appTerm 11762 def appTerm 11763 def 10419 ref appTerm 11764 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11764 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11762 ref nil cons 11765 def cons 11766 def 10523 ref cons nil cons cons 11767 def 86 ref subst 11767 remove 151 ref subst 11762 ref betaConv 11762 remove assume eqMp 11768 def nil 67 ref 11758 remove nil cons 11769 def cons 11770 def 10523 remove cons nil cons cons 11771 def 136 ref subst proveHyp 11771 ref 86 ref subst 11771 remove 151 ref subst nil 112 ref 11757 ref nil cons cons 114 ref 11719 remove cons nil cons cons nil cons cons 11772 def 127 ref subst 11773 def 11772 remove 347 ref subst 11774 def 8615 remove refl 11699 remove assume appThm 11775 def 11757 remove assume 11776 def appThm sym nil 11720 remove 68 ref 11674 remove 11714 ref appTerm 11777 def nil cons 11778 def cons nil cons cons nil cons cons 136 ref subst 1269 ref 11676 ref 799 ref appTerm 11779 def betaConv 11678 ref 45 ref appTerm 11780 def betaConv nil 67 ref 11747 remove cons 68 ref 11780 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 11678 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11677 remove nil cons cons 68 ref 11779 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 11676 remove nil cons cons 1462 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 11769 remove cons 11781 def 114 ref 10522 ref cons nil cons 11782 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 11765 remove cons 11783 def 11782 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 11759 ref 910 ref appTerm appTerm 11784 def 10419 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 11760 remove appTerm 11785 def 10419 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 11759 remove nil cons cons 11786 def 11782 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 11753 remove cons 11787 def 11782 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 11693 ref 45 ref appTerm appTerm 11788 def 10419 ref appTerm absTerm appTerm nil cons cons 68 ref 11749 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 11693 remove nil cons cons 11789 def 11782 ref cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 11744 remove cons 114 ref 11705 remove cons nil cons 11790 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 11741 remove cons 11790 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4524 ref "x'" 4499 ref var 11791 def 69 ref 11702 remove 11791 ref varTerm 11792 def appTerm appTerm 11698 remove appTerm absTerm appTerm nil cons cons 11738 remove cons nil cons cons 136 ref subst proveHyp 4519 ref 11736 remove 11790 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp 11793 def eqMp absThm eqMp eqMp absThm eqMp nil 2953 ref 11685 remove appTerm thm nil 2956 remove 837 ref 11660 remove 11661 ref 4615 remove 529 ref 11663 remove constTerm 11669 remove appTerm 11794 def appTerm 8617 remove 8618 remove 8613 ref 11671 ref 11673 remove 39 ref 41 ref 794 ref 795 ref 8629 ref 11675 remove appTerm absTerm appTerm absTerm 11795 def appTerm 11796 def appTerm absTerm appTerm absTerm 11797 def appTerm 11798 def appTerm 11799 def absTerm 11800 def appTerm 11801 def absTerm 11802 def nil cons cons nil cons nil cons cons 8362 remove subst 837 ref nil 99 ref 11801 remove nil cons cons nil cons nil cons cons 106 ref subst nil 11686 remove 11800 remove nil cons cons nil cons nil cons cons 11687 remove subst 11661 remove nil 99 ref 11799 remove nil cons cons nil cons nil cons cons 106 ref subst nil 4507 ref 11798 remove nil cons cons 4513 remove 11794 remove nil cons cons nil cons cons nil cons cons 4521 remove subst sym 4525 remove 4526 ref 33 ref 11688 remove 4520 remove 542 ref subst subst 36 ref 10105 remove constTerm 11803 def refl 4507 ref 544 ref 11691 remove appThm 10529 remove appThm absThm appThm trans appThm nil 8650 remove 11797 ref nil cons cons nil cons nil cons cons 8652 remove subst 11797 remove 4528 ref appTerm betaConv trans appThm absThm appThm sym nil 4565 ref 4526 ref 23 ref 11803 remove 4507 ref 75 ref 11694 ref appTerm 10419 ref appTerm 11804 def absTerm 11805 def appTerm 11806 def appTerm 8613 ref 11671 ref 11700 remove 11796 ref appTerm 11807 def absTerm 11808 def appTerm 11809 def appTerm 11810 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 4526 ref nil 99 ref 11810 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11806 ref nil cons 11811 def cons 68 ref 11809 ref nil cons 11812 def cons nil cons 11813 def cons nil cons cons 348 ref subst nil 10436 ref 4507 ref 69 ref 11805 ref 10115 remove appTerm 11814 def appTerm 11809 ref appTerm 11815 def absTerm nil cons cons nil cons nil cons cons 10439 remove subst 4507 remove nil 99 ref 11815 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11814 ref nil cons 11816 def cons 11813 ref cons nil cons cons 11817 def 86 ref subst 11817 remove 151 ref subst 11814 ref betaConv 11814 remove assume eqMp nil 67 ref 11804 remove nil cons 11818 def cons 11813 ref cons nil cons cons 11819 def 136 ref subst proveHyp 11819 ref 86 ref subst 11819 remove 151 ref subst nil 112 ref 11694 remove nil cons 11820 def cons 11782 remove cons nil cons cons 11821 def 127 ref subst 11821 remove 347 ref subst nil 67 ref 11820 remove cons 11813 ref cons nil cons cons 136 ref subst nil 144 ref 1134 ref 11751 remove 11809 ref appTerm 11822 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 11822 remove nil cons cons nil cons nil cons cons 106 ref subst nil 11754 remove 11813 ref cons nil cons cons 11823 def 86 ref subst 11823 remove 151 ref subst 11756 remove nil 11761 remove 11813 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 11763 remove 11809 ref appTerm 11824 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11824 remove nil cons cons nil cons nil cons cons 106 ref subst nil 11766 remove 11813 ref cons nil cons cons 11825 def 86 ref subst 11825 remove 151 ref subst 11768 remove nil 11770 remove 11813 remove cons nil cons cons 11826 def 136 ref subst proveHyp 11826 ref 86 ref subst 11826 remove 151 ref subst 11773 remove 11774 remove 11808 ref 4528 ref appTerm betaConv sym 11709 remove 39 ref 41 ref 794 ref 795 ref 8629 remove 11710 remove appTerm absTerm appTerm absTerm 11827 def appTerm 11828 def refl appThm nil 99 ref 11828 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym 11827 ref 1137 ref appTerm betaConv sym 795 ref 75 ref 11712 remove appTerm 11829 def 11715 remove appTerm absTerm 11830 def 799 ref appTerm betaConv sym 544 ref 11729 remove appThm 10418 remove refl 11776 remove sym appThm nil 99 ref 10522 remove cons nil cons nil cons cons 106 ref subst 10419 remove assume eqMp trans appThm 941 ref trans sym 105 ref eqMp eqMp 870 ref 871 ref 11830 remove nil cons cons 1462 ref cons nil cons cons 594 ref subst proveHyp eqMp 309 ref 144 ref 11827 remove nil cons cons 1139 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp 4519 ref 4565 ref 11808 ref nil cons cons 11831 def 11737 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 11781 remove 114 ref 11812 remove cons nil cons 11832 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 11783 remove 11832 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 11784 remove 11809 ref appTerm absTerm appTerm nil cons cons 68 ref 11785 remove 11809 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 11786 remove 11832 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 11787 remove 11832 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 11788 remove 11809 ref appTerm absTerm appTerm nil cons cons 68 ref 11695 remove 11809 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 11789 remove 11832 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 11818 remove cons 11832 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 11816 remove cons 11832 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 10106 remove 11689 ref 69 ref 11805 ref 11689 remove varTerm appTerm appTerm 11809 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 11806 ref appTerm 11809 ref appTerm nil cons 11833 def cons nil cons cons nil cons cons 136 ref subst proveHyp 10437 ref 10436 remove 11805 ref nil cons cons 11834 def 11832 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 11833 remove cons 68 ref 69 ref 11809 remove appTerm 11806 ref appTerm nil cons cons nil cons 11835 def cons nil cons cons 151 ref subst proveHyp nil 4565 ref 11671 ref 69 ref 11808 ref 11672 remove appTerm 11836 def appTerm 11806 ref appTerm 11837 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 11671 remove nil 99 ref 11837 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11836 ref nil cons 11838 def cons 68 ref 11811 ref cons nil cons 11839 def cons nil cons cons 11840 def 86 ref subst 11840 remove 151 ref subst 11836 ref betaConv 11836 remove assume eqMp nil 67 ref 11807 remove nil cons 11841 def cons 11839 ref cons nil cons cons 11842 def 136 ref subst proveHyp 11842 ref 86 ref subst 11842 remove 151 ref subst nil 11746 remove 114 ref 11796 ref nil cons 11843 def cons nil cons cons nil cons cons 11844 def 127 ref subst 11844 remove 347 ref subst nil 67 ref 11843 remove cons 11839 ref cons nil cons cons 136 ref subst nil 144 ref 1134 ref 69 ref 11795 ref 1137 ref appTerm 11845 def appTerm 11806 ref appTerm 11846 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 11846 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11845 ref nil cons 11847 def cons 11839 ref cons nil cons cons 11848 def 86 ref subst 11848 remove 151 ref subst 11845 ref betaConv 11845 remove assume eqMp nil 67 ref 794 ref 795 ref 11829 remove 11777 ref appTerm 11849 def absTerm 11850 def appTerm 11851 def nil cons cons 11839 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 69 ref 11850 ref 799 ref appTerm 11852 def appTerm 11806 ref appTerm 11853 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11853 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11852 ref nil cons 11854 def cons 11839 ref cons nil cons cons 11855 def 86 ref subst 11855 remove 151 ref subst 11852 ref betaConv 11852 remove assume eqMp nil 67 ref 11849 remove nil cons 11856 def cons 11839 remove cons nil cons cons 11857 def 136 ref subst proveHyp 11857 ref 86 ref subst 11857 remove 151 ref subst nil 11735 remove 114 ref 11778 ref cons nil cons cons nil cons cons 11858 def 127 ref subst 11858 remove 347 ref subst 11805 remove 11714 ref appTerm betaConv sym 75 ref 11731 remove appTerm refl 11775 remove 11714 remove refl appThm nil 99 ref 11778 remove cons nil cons nil cons cons 106 ref subst 11777 remove assume eqMp trans appThm nil 99 ref 11732 remove cons nil cons nil cons cons 1362 ref subst trans sym 11730 remove eqMp eqMp 10437 remove 11834 remove 11728 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 11856 remove cons 114 ref 11811 remove cons nil cons 11859 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 11854 remove cons 11859 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 11850 ref 910 ref appTerm appTerm 11806 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 11851 remove appTerm 11806 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 11850 remove nil cons cons 11859 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 11847 remove cons 11859 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 11795 ref 45 ref appTerm appTerm 11806 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 11796 remove appTerm 11806 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 11795 remove nil cons cons 11859 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 11841 remove cons 11859 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 11838 remove cons 11859 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4524 ref 11791 remove 69 ref 11808 remove 11792 remove appTerm appTerm 11806 remove appTerm absTerm appTerm nil cons cons 11835 remove cons nil cons cons 136 ref subst proveHyp 4519 ref 11831 remove 11859 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 2953 remove 11802 remove appTerm thm nil 1453 ref 1403 ref 23 ref 75 ref 7503 remove appTerm 5645 remove appTerm appTerm 5650 ref 5651 ref 75 ref 5656 remove appTerm 7507 remove appTerm 11860 def absTerm appTerm appTerm 11861 def absTerm 11862 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 11861 ref nil cons 11863 def cons nil cons nil cons cons 11864 def 106 ref subst 783 ref 69 ref 54 ref 41 ref 7695 ref 5881 ref appTerm absTerm appTerm appTerm 23 ref 75 ref 7694 remove appTerm 11865 def 5662 remove appTerm appTerm 5650 ref 5651 ref 75 ref 757 ref 795 ref 3866 ref 5664 ref appTerm absTerm appTerm appTerm 75 ref 757 ref 795 ref 3866 ref 5655 ref appTerm 11866 def absTerm 11867 def appTerm 11868 def appTerm 11869 def 7696 ref appTerm appTerm absTerm appTerm appTerm appTerm absTerm 11870 def 738 ref appTerm 11871 def betaConv 4 ref 812 ref 783 ref 69 ref 54 ref 41 ref 690 ref 5881 ref appTerm absTerm 11872 def appTerm 11873 def appTerm 23 ref 75 ref 7518 remove appTerm 11874 def 5670 remove appTerm appTerm 5650 ref 5651 ref 75 ref 757 ref 795 ref 3866 ref 5671 ref appTerm 11875 def absTerm 11876 def appTerm 11877 def appTerm 11869 remove 7522 ref appTerm 11878 def appTerm 11879 def absTerm appTerm 11880 def appTerm 11881 def appTerm 11882 def absTerm 11883 def appTerm 11884 def absTerm 11885 def 6 ref appTerm 11886 def betaConv nil 317 ref 11885 ref nil cons cons 11887 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 11884 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 11883 remove nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 11882 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11873 ref nil cons 11888 def cons 11889 def 68 ref 11881 remove nil cons 11890 def cons nil cons cons nil cons cons 11891 def 86 ref subst 11891 remove 151 ref subst 33 ref 544 ref 7690 remove appThm 5713 ref appThm appThm 11880 remove refl 11892 def appThm sym 33 ref 33 ref 75 ref 7524 ref appTerm 11893 def refl 11894 def 5696 ref 5651 ref 5676 ref 5652 ref appTerm betaConv 11895 def absThm appThm appThm appThm 5696 ref 5651 ref 11894 remove 11895 remove appThm absThm appThm appThm nil "q" 5648 remove var 5676 remove nil cons cons 67 ref 7524 ref nil cons 11896 def cons 11897 def nil cons cons nil cons cons 7543 remove 10555 remove subst subst eqMp appThm 11892 remove appThm sym 5696 ref 5651 ref nil 67 ref 11893 remove 5675 ref appTerm 11898 def nil cons 11899 def cons 68 ref 11879 ref nil cons 11900 def cons nil cons 11901 def cons nil cons cons 11902 def 348 ref subst 11902 ref 86 ref subst 11902 remove 151 ref subst nil 112 ref 11896 remove cons 114 ref 5675 remove nil cons 11903 def cons nil cons cons nil cons cons 11904 def 127 ref subst 11904 remove 347 ref subst nil 11897 ref 11901 ref cons nil cons cons 136 ref subst nil 7529 ref "h" 5647 remove var 11905 def 69 ref 7523 ref 11905 ref varTerm 11906 def appTerm 11907 def appTerm 11879 ref appTerm 11908 def absTerm nil cons cons nil cons nil cons cons 7544 ref subst 11905 remove nil 99 ref 11908 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11907 ref nil cons 11909 def cons 11901 ref cons nil cons cons 11910 def 86 ref subst 11910 remove 151 ref subst 11907 ref betaConv 11907 remove assume eqMp nil 67 ref 54 ref 41 ref 690 ref 220 ref 11906 ref 1412 ref appTerm 11911 def appTerm 45 ref appTerm 11912 def appTerm absTerm 11913 def appTerm nil cons 11914 def cons 11915 def 11901 remove cons nil cons cons 11916 def 136 ref subst proveHyp 11916 ref 86 ref subst 11916 remove 151 ref subst nil 871 ref 11876 ref nil cons cons 11917 def nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11875 remove nil cons cons nil cons nil cons cons 106 ref subst nil 3867 ref 68 ref 5671 ref nil cons 11918 def cons nil cons 11919 def cons nil cons cons 11920 def 86 ref subst 11920 ref 151 ref subst 5674 ref 799 ref appTerm 11921 def betaConv nil 67 ref 11903 ref cons 68 ref 11921 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 5674 remove nil cons cons 11922 def 1462 ref cons nil cons cons 161 ref subst eqMp eqMp 11923 def nil 67 ref 5673 remove nil cons 11924 def cons 11925 def 11919 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 3872 remove appThm 5672 ref refl appThm nil 99 ref 5672 remove nil cons 11926 def cons nil cons nil cons cons 2033 ref subst trans appThm 11927 def 5671 remove refl appThm sym nil 67 ref 11926 ref cons 11928 def 11919 remove cons nil cons cons 11929 def 86 ref subst 11929 remove 151 ref subst nil 112 ref 11918 ref cons 114 ref 5729 ref cons nil cons 11930 def cons nil cons cons 11931 def 127 ref subst eqMp nil 112 ref 11926 ref cons 11932 def 114 ref 11918 ref cons nil cons 11933 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp 11934 def eqMp nil 3770 ref 11933 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 11877 remove nil cons 11935 def cons 11936 def 68 ref 11878 remove nil cons 11937 def cons nil cons cons nil cons cons 151 ref subst proveHyp nil 871 ref 11867 ref nil cons cons 11938 def nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11866 remove nil cons cons nil cons nil cons cons 106 ref subst nil 3867 ref 68 ref 5729 remove cons nil cons 11939 def cons nil cons cons 11940 def 86 ref subst 11940 ref 151 ref subst 11923 remove nil 11925 remove 11939 ref cons nil cons cons 136 ref subst proveHyp 11927 remove 5728 ref appThm sym nil 11928 remove 11939 ref cons nil cons cons 11941 def 86 ref subst 11941 remove 151 ref subst 11931 remove 347 ref subst eqMp nil 11932 remove 11930 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp 11942 def eqMp nil 3770 ref 11930 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 11868 remove nil cons 11943 def cons 11944 def 7570 remove cons nil cons cons 151 ref subst proveHyp 7572 remove 41 ref 7573 remove 7574 remove 7575 remove 296 ref 75 ref 11103 remove appTerm 301 remove appTerm absTerm 11945 def 11911 ref appTerm betaConv sym nil 1015 ref 68 ref 5891 ref cons nil cons cons nil cons cons 136 ref subst 11872 ref 45 ref appTerm 11946 def betaConv nil 11889 remove 68 ref 11946 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 11872 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp nil 67 ref 5891 remove cons 68 ref 7505 remove 11911 ref appTerm nil cons 11947 def cons nil cons cons nil cons cons 136 ref subst 795 ref 3866 remove 7531 ref 11906 ref 799 ref appTerm 11948 def appTerm 11949 def appTerm 11950 def absTerm 11951 def 1412 ref appTerm 11952 def betaConv nil 871 ref 11951 ref nil cons cons 11953 def nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11950 remove nil cons cons nil cons nil cons cons 106 ref subst nil 3867 ref 68 ref 11949 remove nil cons 11954 def cons nil cons 11955 def cons nil cons cons 11956 def 86 ref subst 11956 remove 151 ref subst 296 ref 75 ref 7531 ref 297 ref appTerm appTerm 300 remove 11948 ref appTerm appTerm absTerm 11957 def 11906 ref 5654 remove appTerm 11958 def appTerm betaConv sym 11934 remove nil 67 ref 11918 remove cons 11959 def 68 ref 220 ref 11958 ref appTerm 11960 def 5653 remove appTerm nil cons 11961 def cons nil cons cons nil cons cons 136 ref subst proveHyp 5726 remove 11913 ref 45 ref appTerm 11962 def betaConv nil 11915 remove 68 ref 11962 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 11913 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp 11963 def subst eqMp nil 67 ref 11961 remove cons 68 ref 7531 remove 11958 ref appTerm nil cons 11964 def cons nil cons cons nil cons cons 136 ref subst proveHyp nil 41 ref 11958 remove nil cons cons 11965 def 296 ref 5724 remove cons nil cons cons nil cons cons 11102 ref subst eqMp nil 67 ref 11964 remove cons 68 ref 11960 remove 11948 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp 11906 remove refl 11942 remove appThm eqMp eqMp 309 ref 144 ref 11957 ref nil cons cons 11965 remove nil cons cons nil cons cons 594 ref subst proveHyp nil 67 ref 39 ref 11957 remove appTerm nil cons cons 11955 remove cons nil cons cons 136 ref subst proveHyp nil 5897 ref 11948 remove nil cons cons 5725 remove cons nil cons cons 11195 ref subst eqMp eqMp nil 3770 ref 114 ref 11954 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 11951 remove appTerm nil cons cons 68 ref 11952 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 11953 remove 2448 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp proveHyp nil 67 ref 11947 remove cons 68 ref 11912 remove nil cons cons nil cons 11966 def cons nil cons cons 151 ref subst proveHyp nil 1015 ref 11966 remove cons nil cons cons 136 ref subst 11963 remove eqMp eqMp eqMp 309 ref 144 ref 11945 ref nil cons cons 41 ref 11911 remove nil cons cons nil cons cons nil cons cons 594 ref subst proveHyp nil 67 ref 39 ref 11945 remove appTerm nil cons cons 7564 remove cons nil cons cons 136 ref subst proveHyp nil 5897 remove 310 remove cons 10964 ref cons nil cons cons 11195 ref subst eqMp eqMp 7582 remove deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 112 ref 11914 remove cons 114 ref 11900 ref cons nil cons 11967 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 11909 remove cons 11967 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 7586 ref 7587 ref 69 ref 7523 ref 11197 ref appTerm appTerm 11879 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 7524 remove appTerm 11879 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 7542 ref 7529 ref 7523 ref nil cons cons 11968 def 11967 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 11899 ref cons 11967 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 11898 ref appTerm 11879 ref appTerm nil cons cons 68 ref 69 ref 11879 remove appTerm 11898 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 11900 ref cons 68 ref 11899 ref cons nil cons cons nil cons cons 11969 def 86 ref subst 11969 remove 151 ref subst nil 112 ref 11935 remove cons 114 ref 11937 remove cons nil cons cons nil cons cons 11970 def 127 ref subst 11970 remove 347 ref subst nil 112 ref 11943 remove cons 7583 remove cons nil cons cons 11971 def 127 ref subst 11971 remove 347 ref subst 7523 remove 5652 ref appTerm betaConv sym 7522 remove assume eqMp 7542 ref 11968 remove 7589 remove cons nil cons cons 594 ref subst proveHyp nil 11897 remove 68 ref 11903 remove cons nil cons cons nil cons cons 151 ref subst proveHyp nil 11922 remove nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 11924 remove cons nil cons nil cons cons 106 ref subst nil 3867 remove 68 ref 11926 ref cons nil cons cons nil cons cons 11972 def 86 ref subst 11972 remove 151 ref subst 11920 remove 136 ref subst 11876 remove 799 ref appTerm 11973 def betaConv nil 11936 remove 68 ref 11973 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 11917 remove 1462 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp nil 11959 remove 11939 remove cons nil cons cons 151 ref subst proveHyp 11940 remove 136 ref subst 11867 remove 799 ref appTerm 11974 def betaConv nil 11944 remove 68 ref 11974 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 11938 remove 1462 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp eqMp nil 3770 remove 114 ref 11926 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 11900 remove cons 114 ref 11899 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm appThm eqMp eqMp eqMp nil 112 ref 11888 remove cons 114 ref 11890 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp 11975 def nil 67 ref 288 ref 11885 remove appTerm 11976 def nil cons 11977 def cons 68 ref 11886 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 11887 remove 567 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 812 ref 11870 ref appTerm nil cons cons 68 ref 11871 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 11870 remove nil cons cons 5716 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 54 ref 41 ref 7695 remove 3531 ref 738 ref appTerm appTerm absTerm appTerm appTerm 23 ref 11865 remove 5718 remove appTerm appTerm 5650 ref 5651 ref 75 ref 757 ref 795 ref 5717 ref 5664 remove appTerm absTerm appTerm appTerm 75 ref 757 ref 795 ref 5717 remove 5655 remove appTerm absTerm appTerm appTerm 7696 remove appTerm appTerm absTerm appTerm appTerm appTerm nil cons cons 68 ref 11863 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 55 ref 41 ref 2028 remove 2452 ref 944 remove subst appThm 3961 ref trans absThm appThm 377 ref trans appThm 33 ref 544 ref 7699 remove appThm 5723 remove appThm appThm 5696 remove 5651 ref 544 ref 758 ref 795 ref 5720 ref 5727 remove appThm 3961 remove trans absThm appThm 947 remove trans appThm 544 ref 758 ref 795 ref 5720 remove 5728 remove appThm 5731 remove trans absThm appThm appThm 7700 remove appThm appThm nil 99 ref 11860 remove nil cons cons nil cons nil cons cons 562 ref subst trans absThm appThm appThm appThm 11864 ref 2033 ref subst trans appThm 11861 remove refl appThm 11864 remove 409 ref subst trans sym 105 ref eqMp eqMp eqMp absThm eqMp nil 1422 ref 11862 remove appTerm thm 10045 remove nil 10049 remove thm nil "P" 18 ref 852 ref 20 ref cons opType 11978 def var "p" 852 ref var 11979 def 1422 ref 1403 ref 288 ref 4 ref 23 ref 757 ref 872 ref 757 ref 795 ref 69 ref 75 ref 9689 remove appTerm 1409 remove appTerm appTerm 11979 ref varTerm 11980 def 910 ref appTerm 799 ref appTerm 11981 def appTerm absTerm appTerm absTerm appTerm appTerm 54 ref 41 ref 54 ref 296 ref 69 ref 621 ref 1164 ref appTerm 11982 def appTerm 11980 ref 1412 ref appTerm 7498 ref appTerm 11983 def appTerm 11984 def absTerm 11985 def appTerm 11986 def absTerm 11987 def appTerm 11988 def appTerm 11989 def absTerm 11990 def appTerm 11991 def absTerm 11992 def appTerm 11993 def absTerm 11994 def nil cons cons nil cons nil cons cons "A" 852 remove nil cons cons nil cons 218 ref cons 326 ref subst subst 11979 remove nil 99 ref 11993 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 11992 remove nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 11991 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 11990 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 11989 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 758 ref 872 ref 758 ref 795 ref 329 ref 5610 remove 1469 ref appThm appThm 11981 ref refl appThm absThm appThm absThm appThm appThm 11988 ref refl appThm sym nil 67 ref 757 ref 872 ref 757 ref 795 ref 69 ref 9599 remove 1417 ref appTerm appTerm 11981 remove appTerm absTerm 11995 def appTerm 11996 def absTerm 11997 def appTerm 11998 def nil cons 11999 def cons 12000 def 68 ref 11988 ref nil cons 12001 def cons nil cons cons nil cons cons 12002 def 348 ref subst 12002 ref 86 ref subst 12002 remove 151 ref subst nil 144 ref 11987 ref nil cons cons 12003 def nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 11986 remove nil cons 12004 def cons nil cons nil cons cons 106 ref subst nil 144 ref 11985 ref nil cons cons 12005 def nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 11984 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 11982 remove nil cons 12006 def cons 68 ref 11983 remove nil cons 12007 def cons nil cons 12008 def cons nil cons cons 12009 def 86 ref subst 12009 ref 151 ref subst nil 1731 ref 114 ref 5988 remove cons nil cons 12010 def cons nil cons cons 12011 def 127 ref subst 12011 remove 347 ref subst 3529 remove nil 5637 remove 68 ref 39 ref 41 ref 75 ref 853 ref 7498 ref appTerm 12012 def 1412 ref appTerm appTerm 49 ref appTerm absTerm 12013 def appTerm 12014 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp 12013 ref 297 ref appTerm betaConv sym 544 ref 7677 ref appThm 5993 ref appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 12013 remove nil cons cons 314 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 67 ref 5636 remove 12014 remove appTerm nil cons cons 12008 remove cons nil cons cons 136 ref subst proveHyp nil 795 ref 7676 remove cons 2448 ref cons nil cons cons 11995 ref 799 ref appTerm 12015 def betaConv 11997 ref 910 ref appTerm 12016 def betaConv nil 12000 remove 68 ref 12016 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 11997 remove nil cons cons 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11996 remove nil cons cons 68 ref 12015 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 11995 remove nil cons cons 1462 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp proveHyp proveHyp eqMp nil 112 ref 12006 remove cons 114 ref 12007 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 11999 ref cons 114 ref 12001 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 11998 ref appTerm 11988 ref appTerm nil cons cons 68 ref 69 ref 11988 remove appTerm 11998 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 12001 ref cons 12017 def 68 ref 11999 ref cons nil cons cons nil cons cons 12018 def 86 ref subst 12018 remove 151 ref subst nil 871 ref 4750 ref 757 ref 795 ref 69 ref 10416 ref 1417 remove appTerm appTerm 11980 ref 4751 ref appTerm 12019 def 799 ref appTerm appTerm absTerm appTerm 12020 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 4750 ref nil 99 ref 12020 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 759 ref 69 ref 10416 remove 39 ref 41 ref 75 ref 854 ref 1412 ref appTerm appTerm 49 ref appTerm absTerm 12021 def appTerm 12022 def appTerm 12023 def appTerm 12019 remove 764 ref appTerm 12024 def appTerm 12025 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 12025 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12023 remove nil cons 12026 def cons 68 ref 12024 ref nil cons 12027 def cons nil cons 12028 def cons nil cons cons 12029 def 86 ref subst 12029 remove 151 ref subst nil 112 ref 10490 remove cons 114 ref 12022 ref nil cons 12030 def cons nil cons cons nil cons cons 12031 def 127 ref subst 12031 remove 347 ref subst nil 10491 remove 12028 ref cons nil cons cons 136 ref subst nil 144 ref 41 ref 69 ref 10516 ref appTerm 12024 ref appTerm 12032 def absTerm 12033 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 12032 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 10516 ref nil cons 12034 def cons 12028 ref cons nil cons cons 12035 def 86 ref subst 12035 remove 151 ref subst 10517 remove 10516 remove assume eqMp nil 10548 remove 12028 ref cons nil cons cons 12036 def 136 ref subst proveHyp 12036 ref 86 ref subst 12036 remove 151 ref subst nil 112 ref 10518 remove cons 1878 ref cons nil cons cons 12037 def 127 ref subst 12037 remove 347 ref subst nil 67 ref 12030 remove cons 12028 ref cons nil cons cons 136 ref subst nil 144 ref 296 ref 69 ref 12021 ref 297 ref appTerm 12038 def appTerm 12024 ref appTerm 12039 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 12039 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12038 ref nil cons 12040 def cons 12028 ref cons nil cons cons 12041 def 86 ref subst 12041 remove 151 ref subst 12038 ref betaConv 12038 remove assume eqMp nil 67 ref 75 ref 854 remove 7498 ref appTerm 12042 def appTerm 1164 remove appTerm nil cons 12043 def cons 12028 remove cons nil cons cons 12044 def 136 ref subst proveHyp 12044 ref 86 ref subst 12044 remove 151 ref subst nil 112 ref 12042 ref nil cons cons 12010 remove cons nil cons cons 12045 def 127 ref subst 12045 remove 347 ref subst 11980 remove refl 10412 remove assume appThm 12042 remove assume appThm sym 1923 ref 5993 remove appThm 941 ref trans sym 105 ref eqMp 12009 remove 136 ref subst proveHyp 11985 remove 297 ref appTerm 12046 def betaConv 11987 remove 45 ref appTerm 12047 def betaConv nil 12017 remove 68 ref 12047 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 12003 remove 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12004 remove cons 68 ref 12046 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 12005 remove 314 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12043 remove cons 114 ref 12027 remove cons nil cons 12048 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12040 remove cons 12048 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 12021 ref 45 ref appTerm appTerm 12024 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 12022 remove appTerm 12024 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 12021 remove nil cons cons 12048 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 10547 remove cons 12048 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12034 remove cons 12048 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 12033 remove appTerm nil cons cons 68 ref 69 ref 10415 remove appTerm 12024 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 10510 remove 12048 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12026 remove cons 12048 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 12001 remove cons 114 ref 11999 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 53 ref 18 ref 11978 remove 20 ref cons opType constTerm 11994 remove appTerm thm nil 1453 ref 1403 ref 506 ref 488 ref 69 ref 75 ref 8338 ref appTerm 54 ref 41 ref 54 ref 296 ref 69 ref 8266 remove 75 ref 1163 ref 532 remove appTerm appTerm 7499 ref appTerm appTerm 12049 def appTerm 298 ref appTerm absTerm 12050 def appTerm 12051 def absTerm 12052 def appTerm 12053 def appTerm 12054 def appTerm 1433 ref 3051 ref appTerm 3053 remove appTerm 12055 def appTerm 12056 def absTerm 12057 def appTerm 12058 def absTerm 12059 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 12058 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 12057 remove nil cons cons nil cons nil cons cons 1695 ref subst 488 ref nil 99 ref 12056 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12054 remove nil cons 12060 def cons 68 ref 12055 remove nil cons 12061 def cons nil cons cons nil cons cons 12062 def 86 ref subst 12062 remove 151 ref subst nil 112 ref 8338 remove nil cons 12063 def cons 114 ref 12053 remove nil cons 12064 def cons nil cons cons nil cons cons 12065 def 127 ref subst 12065 remove 347 ref subst 3058 remove 1551 ref subst 758 ref 872 ref 23 ref 1552 ref 3051 ref appTerm appTerm refl 1627 ref 3160 remove appThm appThm absThm appThm trans sym nil 871 ref 3672 ref 23 ref 6715 ref 3051 remove appTerm appTerm 6715 ref 1435 ref 1436 ref 794 ref 795 ref 1440 ref 288 ref 356 ref 2489 ref 806 ref 2924 ref appTerm 12066 def appTerm absTerm appTerm 12067 def appTerm absTerm appTerm absTerm appTerm appTerm appTerm 12068 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 3672 ref nil 99 ref 12068 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 2530 remove 795 ref 3675 remove cons nil cons 12069 def cons nil cons cons 1469 ref subst 40 ref 41 ref 6741 ref refl 516 ref appThm absThm appThm trans appThm 33 ref 6715 ref refl 1457 ref 1436 ref 826 ref 795 ref 1458 ref 795 ref 12067 remove absTerm 12070 def 799 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 12070 ref 3673 ref appTerm betaConv appThm nil 1461 ref 12070 remove nil cons cons 6736 ref cons nil cons cons 1463 ref subst eqMp 292 ref 356 ref 3161 remove nil 2503 remove 12069 remove cons nil cons cons 1469 ref subst appThm absThm appThm trans appThm sym nil 67 ref 39 ref 41 ref 6741 ref 2543 remove appTerm 12071 def absTerm 12072 def appTerm 12073 def nil cons 12074 def cons 68 ref 288 ref 356 ref 2489 ref 39 ref 41 ref 6741 remove 2535 remove appTerm absTerm appTerm appTerm absTerm 12075 def appTerm 12076 def nil cons 12077 def cons nil cons 12078 def cons nil cons cons 348 ref subst nil 144 ref 41 ref 69 ref 12072 ref 45 ref appTerm 12079 def appTerm 12076 ref appTerm 12080 def absTerm 12081 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 12080 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12079 ref nil cons 12082 def cons 12078 ref cons nil cons cons 12083 def 86 ref subst 12083 remove 151 ref subst 12079 ref betaConv 12084 def 12079 remove assume eqMp nil 67 ref 12071 remove nil cons 12085 def cons 12078 remove cons nil cons cons 12086 def 136 ref subst proveHyp 12086 ref 86 ref subst 12086 remove 151 ref subst nil 6780 ref 3180 remove cons nil cons cons 12087 def 127 ref subst 12087 remove 347 ref subst nil 317 ref 11 ref 2540 remove 39 ref 41 ref 9976 ref absTerm 12088 def appTerm 12089 def appTerm 12090 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 12090 remove nil cons 12091 def cons nil cons nil cons cons 106 ref subst nil 2142 ref 68 ref 12089 ref nil cons 12092 def cons nil cons cons nil cons cons 12093 def 86 ref subst 12093 remove 151 ref subst 12088 ref 45 ref appTerm 12094 def betaConv 12095 def sym 10040 remove sym 3193 remove eqMp eqMp 309 ref 144 ref 12088 remove nil cons cons 12096 def 311 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 2085 ref 114 ref 12092 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 12085 remove cons 114 ref 12077 ref cons nil cons 12097 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12082 remove cons 12097 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 12081 remove appTerm nil cons cons 68 ref 69 ref 12073 ref appTerm 12076 ref appTerm nil cons 12098 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 12072 remove nil cons cons 12099 def 12097 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 12098 remove cons 68 ref 69 ref 12076 remove appTerm 12073 ref appTerm 12100 def nil cons 12101 def cons nil cons 12102 def cons nil cons cons 151 ref subst proveHyp 8342 remove nil 67 ref 8339 remove nil cons cons 12102 ref cons nil cons cons 136 ref subst proveHyp 329 ref 8336 remove refl 35 ref nil 67 ref 12063 remove cons 68 ref 23 ref 8337 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 112 ref 8337 remove nil cons cons nil cons nil cons cons 1095 ref subst eqMp appThm 400 ref trans appThm nil 99 ref 8335 ref nil cons cons nil cons nil cons cons 247 remove subst trans appThm 12100 ref refl appThm sym nil 317 ref 11 ref 69 ref 6256 ref appTerm 12100 ref appTerm 12103 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 12103 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6256 ref nil cons 12104 def cons 12102 ref cons nil cons cons 12105 def 86 ref subst 12105 remove 151 ref subst 6257 remove 6256 remove assume eqMp nil 2142 remove 12102 remove cons nil cons cons 12106 def 136 ref subst proveHyp 12106 ref 86 ref subst 12106 remove 151 ref subst nil 67 ref 12077 ref cons 12107 def 68 ref 12074 ref cons nil cons 12108 def cons nil cons cons 12109 def 86 ref subst 12109 remove 151 ref subst 12075 ref 30 ref appTerm 12110 def betaConv nil 12107 ref 68 ref 12110 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 12075 ref nil cons cons 12111 def 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12091 remove cons 12108 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 2089 remove appThm 12089 ref refl appThm nil 99 ref 12092 remove cons nil cons nil cons cons 2033 ref subst trans appThm 12073 ref refl appThm sym nil 144 ref 41 ref 69 ref 12094 ref appTerm 12073 ref appTerm 12112 def absTerm 12113 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 12112 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12094 ref nil cons 12114 def cons 12108 ref cons nil cons cons 12115 def 86 ref subst 12115 remove 151 ref subst 12095 remove 12094 remove assume eqMp nil 67 ref 9976 remove nil cons 12116 def cons 12108 remove cons nil cons cons 12117 def 136 ref subst proveHyp 12117 ref 86 ref subst 12117 remove 151 ref subst nil 6780 remove 1727 ref cons nil cons cons 12118 def 127 ref subst 12118 remove 347 ref subst 12084 remove sym 9997 remove 4854 remove appThm 6329 remove trans sym 7156 remove 494 ref nil 99 ref 502 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 7767 remove cons 4070 ref cons nil cons cons 12119 def 86 ref subst 12119 remove 151 ref subst 12075 remove 498 ref appTerm 12120 def betaConv nil 12107 remove 68 ref 12120 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 12111 remove 4039 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 500 remove 39 ref 1134 ref 75 ref 6739 remove 2439 ref appTerm appTerm 6985 ref appTerm absTerm appTerm appTerm nil cons cons 4070 ref cons nil cons cons 136 ref subst proveHyp 329 ref 7772 remove 40 ref "_10710" 1 ref var 12121 def 544 ref 9996 remove 1406 ref 12121 remove varTerm 12122 def appTerm refl appThm appThm 44 ref 12122 remove appTerm 498 ref appTerm refl appThm absThm appThm appThm nil 99 ref 39 ref 1134 ref 2441 ref 6985 remove appTerm absTerm 12123 def appTerm 12124 def nil cons cons nil cons nil cons cons 2033 ref subst trans appThm 4057 ref appThm sym nil 144 ref 296 ref 69 ref 12123 ref 297 ref appTerm 12125 def appTerm 501 ref appTerm 12126 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 12126 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12125 ref nil cons 12127 def cons 4070 ref cons nil cons cons 12128 def 86 ref subst 12128 remove 151 ref subst 12125 ref betaConv 12125 remove assume eqMp nil 67 ref 9820 remove 9224 remove appTerm nil cons 12129 def cons 4070 ref cons nil cons cons 12130 def 136 ref subst proveHyp 12130 ref 86 ref subst 12130 remove 151 ref subst nil 9824 remove 114 ref 9257 remove cons nil cons cons nil cons cons 12131 def 127 ref subst 12131 remove 347 ref subst 7021 remove 544 ref 1160 ref 542 ref subst appThm 7678 remove appThm nil 99 ref 534 ref 11 ref 2063 remove 9939 ref appTerm absTerm 12132 def appTerm nil cons 12133 def cons nil cons nil cons cons 1362 ref subst trans appThm sym 2093 remove nil 7041 remove 68 ref 12133 remove cons nil cons cons nil cons cons 151 ref subst proveHyp 12132 ref 498 ref appTerm betaConv sym 544 ref 7771 remove appThm 9276 ref appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 12132 remove nil cons cons 4039 ref cons nil cons cons 594 ref subst proveHyp eqMp eqMp nil 67 ref 12049 remove nil cons cons 7645 remove cons nil cons cons 136 ref subst proveHyp 12050 ref 297 ref appTerm 12134 def betaConv 12052 ref 45 ref appTerm 12135 def betaConv nil 67 ref 12064 remove cons 68 ref 12135 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 12052 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12051 remove nil cons cons 68 ref 12134 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 12050 remove nil cons cons 314 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp 9834 remove 8988 remove appThm 9276 remove trans sym 105 ref eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 12129 remove cons 4078 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12127 remove cons 4078 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 1134 ref 69 ref 12123 ref 1137 ref appTerm appTerm 501 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 12124 remove appTerm 501 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 12123 remove nil cons cons 4078 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp 7769 remove deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 309 ref 12099 remove 311 ref cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 12116 remove cons 114 ref 12074 remove cons nil cons 12136 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12114 remove cons 12136 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 12113 remove appTerm nil cons cons 68 ref 69 ref 12089 remove appTerm 12073 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 12096 remove 12136 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 112 ref 12077 remove cons 12136 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 2085 remove 114 ref 12101 remove cons nil cons 12137 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12104 remove cons 12137 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 7183 remove appTerm 12100 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 8335 remove appTerm 12100 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 7185 remove cons 12137 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12060 remove cons 114 ref 12061 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 1422 ref 12059 remove appTerm thm 55 ref 452 ref 292 ref 11 ref 3516 ref refl 3509 ref 3502 ref 543 ref 4 ref 3510 ref 936 ref 4115 remove subst appThm absThm appThm absThm appThm appThm 3198 remove 3501 ref 3502 ref 534 ref 4 ref 3505 ref 688 ref appTerm absTerm appTerm absTerm appTerm 12138 def appTerm 1389 ref 18 ref 605 remove 1650 remove cons opType constTerm 4 ref 7260 ref absTerm 12139 def appTerm 12138 ref appTerm 12140 def appTerm 12141 def refl 12142 def appThm absThm appThm absThm appThm sym nil 144 ref 452 ref 288 ref 11 ref 3516 ref 3501 ref 3502 ref 534 ref 4 ref 3505 ref 686 ref 9901 ref appTerm 12143 def 30 ref appTerm 12144 def appTerm absTerm appTerm absTerm appTerm 12145 def appTerm 12141 ref appTerm 12146 def absTerm 12147 def appTerm 12148 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 12148 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 12147 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 12146 remove nil cons 12149 def cons nil cons nil cons cons 106 ref subst 75 ref 2474 ref 12145 ref appTerm 12141 ref appTerm appTerm 12150 def refl nil 1647 ref 12145 ref nil cons 12151 def cons 2472 ref 12140 ref nil cons 12152 def cons 12153 def 488 ref 12138 ref nil cons cons 12154 def nil cons 12155 def cons cons nil cons cons 325 ref 4995 remove subst subst appThm sym 544 ref nil 2472 ref 12141 ref nil cons cons 488 ref 12151 ref cons nil cons cons nil cons cons 12156 def 2510 ref subst appThm 544 ref nil 2472 ref 12151 remove cons 12157 def 12155 remove cons nil cons cons 2510 ref subst appThm nil 12157 remove 488 ref 12152 remove cons nil cons cons nil cons cons 2510 remove subst appThm appThm sym 544 ref 33 ref 292 ref 356 ref 329 ref 3508 ref 3509 ref 3502 ref 543 ref 4 ref 544 ref 4743 remove 4 ref 28 ref absTerm 12158 def 28 ref appTerm 12159 def betaConv 12160 def appThm appThm 12161 def 4 ref 12144 ref absTerm 12162 def 28 ref appTerm betaConv 12163 def appThm absThm appThm absThm appThm appThm appThm 356 ref 2487 ref 12141 ref appTerm absTerm 12164 def 1822 ref appTerm betaConv appThm absThm appThm appThm 292 ref 4 ref 329 ref 12163 ref appThm 12164 ref 12159 ref appTerm betaConv appThm absThm appThm appThm nil 6260 ref 12158 remove nil cons cons 12165 def 2930 ref 12162 ref nil cons cons 12166 def 3209 ref 12164 remove nil cons cons nil cons cons cons nil cons cons 323 ref 3668 ref cons 218 ref cons 12167 def 9537 ref 6719 remove appTerm 12168 def betaConv 9539 ref 1406 ref appTerm 12169 def betaConv 9541 ref 57 ref appTerm 12170 def betaConv 9536 remove nil 67 ref 9542 remove nil cons cons 68 ref 12170 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 139 ref 140 ref 9541 remove nil cons cons 143 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9540 remove nil cons cons 68 ref 12169 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 9539 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 9538 remove nil cons cons 68 ref 12168 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 6754 remove 6753 remove 9537 remove nil cons cons 6822 remove cons nil cons cons 161 ref subst eqMp eqMp subst 12171 def subst eqMp 292 ref 4 ref 69 ref 12144 ref appTerm 12172 def refl 12173 def 497 ref refl 12174 def 12160 ref appThm 12175 def 12142 remove appThm appThm absThm appThm trans appThm 544 ref 33 ref 292 ref 356 ref 329 ref 3508 ref 3509 ref 3502 ref 543 ref 4 ref 12161 remove 4 ref 688 ref absTerm 12176 def 28 ref appTerm betaConv 12177 def appThm absThm appThm absThm appThm appThm appThm 12178 def 356 ref 2487 ref 12145 ref appTerm absTerm 12179 def 1822 ref appTerm betaConv 12180 def appThm absThm appThm appThm 292 ref 4 ref 329 ref 12177 ref appThm 12181 def 12179 ref 12159 ref appTerm betaConv appThm absThm appThm appThm nil 12165 ref 2930 ref 12176 ref nil cons cons 12182 def 3209 ref 12179 ref nil cons 12183 def cons nil cons cons cons nil cons cons 12171 ref subst eqMp 292 ref 4 ref 8841 ref 12175 remove 12145 ref refl 12184 def appThm appThm absThm appThm trans appThm 33 ref 292 ref 356 ref 69 ref 2487 ref 12140 remove appTerm appTerm refl 12180 remove appThm absThm appThm appThm 292 ref 356 ref 69 ref 2487 remove 12138 remove appTerm appTerm refl 12179 remove 12139 ref 1822 ref appTerm 12185 def appTerm betaConv appThm absThm appThm appThm nil 2930 ref 12183 remove cons 12154 ref 6260 remove 12139 ref nil cons cons 12186 def nil cons cons cons nil cons cons 12167 ref 9698 remove subst subst eqMp 33 ref 292 ref 356 ref 12178 remove 356 ref 497 ref 12185 ref appTerm 12145 ref appTerm absTerm 12187 def 1822 ref appTerm betaConv appThm absThm appThm appThm 292 ref 4 ref 12181 remove 12187 ref 12159 ref appTerm betaConv appThm absThm appThm appThm nil 12165 remove 12182 ref 3209 remove 12187 remove nil cons cons nil cons cons cons nil cons cons 12171 remove subst eqMp trans 292 ref 4 ref 8841 ref 12174 remove 12139 remove 12159 remove appTerm betaConv 4116 ref refl 12160 remove appThm trans appThm 12184 remove appThm appThm absThm appThm trans appThm appThm sym 544 ref 292 ref 4 ref 12173 remove nil 12153 remove 12154 ref 359 ref cons cons nil cons cons 3202 remove subst 1259 ref 33 ref 1701 ref refl 12188 def 3509 ref 3502 ref 543 ref 4 ref 3510 ref 12177 ref appThm absThm appThm absThm appThm 12189 def appThm appThm 12177 remove appThm nil 12182 ref 359 ref cons nil cons cons 3512 ref subst eqMp appThm nil 12154 remove 12186 remove 1668 ref nil cons 12190 def cons cons nil cons cons 12167 remove 1469 ref subst subst 543 ref 356 ref 544 ref 29 ref refl 12185 remove betaConv appThm appThm 33 ref 3508 remove 12189 remove appThm appThm 12176 remove 1822 ref appTerm betaConv appThm nil 12182 remove nil cons nil cons cons 3512 ref subst eqMp appThm absThm appThm trans appThm trans appThm absThm appThm appThm 544 ref 292 ref 4 ref 8841 ref 33 ref 12188 remove 3509 ref 3502 ref 543 ref 4 ref 3510 remove 12163 ref appThm absThm appThm absThm appThm 12191 def appThm appThm 12163 remove appThm nil 12166 ref 359 ref cons nil cons cons 3512 ref subst eqMp appThm absThm appThm appThm 292 ref 4 ref 8841 ref 33 ref 497 ref 7260 ref appTerm refl 12191 remove appThm appThm 12162 remove 7260 ref appTerm betaConv appThm nil 12166 remove 356 ref 7260 ref nil cons cons nil cons cons nil cons cons 3512 ref subst eqMp appThm absThm appThm appThm appThm sym nil 317 ref 4 ref 12172 ref 251 ref 688 ref appTerm 534 ref 356 ref 75 ref 29 ref 4116 ref 1822 ref appTerm appTerm appTerm 2514 remove 30 ref appTerm appTerm absTerm 12192 def appTerm 12193 def appTerm 12194 def appTerm 12195 def absTerm 12196 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 12195 remove nil cons 12197 def cons nil cons nil cons cons 106 ref subst nil 1567 ref 68 ref 12197 ref cons nil cons 12198 def cons nil cons cons 12199 def 86 ref subst 12199 remove 151 ref subst nil 67 ref 12144 ref nil cons 12200 def cons 12201 def 68 ref 12194 remove nil cons 12202 def cons nil cons cons nil cons cons 12203 def 86 ref subst 12204 def 12203 remove 151 ref subst 12205 def nil 12201 remove 1055 remove cons nil cons cons 136 ref subst 1035 ref 936 ref 2745 remove subst 6199 remove trans sym 105 ref eqMp appThm 1036 ref appThm nil 67 ref 23 ref 12144 ref appTerm 688 ref appTerm nil cons cons 68 ref 12172 remove 688 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 8917 remove 1050 remove cons 8918 remove 12200 ref cons nil cons cons nil cons cons 8930 remove subst eqMp eqMp nil 1051 ref 114 ref 12193 remove nil cons cons nil cons cons nil cons cons 12206 def 1821 remove subst proveHyp eqMp nil 112 ref 12200 ref cons 114 ref 12202 remove cons nil cons cons nil cons cons 127 ref subst 12207 def deductAntisym eqMp eqMp nil 112 ref 1566 remove cons 12208 def 114 ref 12197 ref cons nil cons 12209 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 10528 ref 12198 remove cons nil cons cons 12210 def 86 ref subst 12210 remove 151 ref subst 12204 remove 12205 remove 12192 ref 9901 ref appTerm betaConv sym 75 ref 29 remove 4116 ref 9901 ref appTerm 12211 def appTerm 12212 def appTerm refl nil 99 ref 12200 ref cons nil cons nil cons cons 106 ref subst 12144 ref assume eqMp appThm nil 99 ref 12212 remove nil cons 12213 def cons nil cons nil cons cons 1362 ref subst trans sym nil 10528 ref 68 ref 27 ref 12211 ref appTerm 28 ref appTerm nil cons 12214 def cons nil cons cons nil cons cons 136 ref subst 936 ref 3425 remove subst eqMp nil 67 ref 12214 remove cons 68 ref 12213 remove cons nil cons cons nil cons cons 136 ref subst proveHyp nil 356 ref 12211 remove nil cons 12215 def cons 12190 remove cons nil cons cons 325 ref 11102 remove subst subst eqMp eqMp eqMp 324 ref 317 ref 12192 remove nil cons cons 356 ref 9901 remove nil cons 12216 def cons nil cons cons nil cons cons 594 ref subst proveHyp 12206 remove 1816 ref subst proveHyp eqMp 12207 remove deductAntisym eqMp eqMp nil 6197 ref 12209 remove cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 1540 ref appTerm 12217 def betaConv 1384 ref nil 1385 ref 68 ref 12217 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 5281 remove cons nil cons cons 161 ref subst eqMp eqMp 12218 def nil 6197 ref 6195 ref 261 ref 12197 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp nil 67 ref 288 ref 12196 remove appTerm nil cons cons 68 ref 75 ref 288 ref 4 ref 3381 ref 12144 remove appTerm 12219 def absTerm 12220 def appTerm 12221 def appTerm 288 ref 4 ref 3381 remove 686 ref 1113 remove 7260 ref appTerm 453 ref appTerm appTerm 30 ref appTerm appTerm absTerm appTerm 12222 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 317 ref 12220 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 12219 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1063 remove 68 ref 12200 ref cons nil cons 12223 def cons nil cons cons 12224 def 86 ref subst 12224 remove 151 ref subst 3230 ref 75 ref 12143 remove 3231 ref appTerm appTerm 8850 ref appTerm absTerm 12225 def 28 ref appTerm betaConv sym 544 ref 936 ref 1881 remove subst appThm 1057 remove appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 12225 ref nil cons cons 359 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 534 ref 12225 remove appTerm nil cons cons 12223 remove cons nil cons cons 136 ref subst proveHyp nil 4041 ref 4 ref 12216 ref cons nil cons cons nil cons cons 4410 ref subst eqMp eqMp nil 1051 remove 114 ref 12200 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp 12226 def nil 67 ref 12221 remove nil cons cons 68 ref 12222 remove nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp 292 ref 4 ref 8841 remove 1035 ref nil 4122 ref 868 ref cons nil cons cons 3666 remove subst nil 3667 remove 12215 remove cons 1667 ref 12216 remove cons 868 ref cons cons nil cons cons 3690 remove subst trans appThm 1036 ref appThm appThm absThm appThm sym 12226 remove eqMp eqMp eqMp eqMp eqMp eqMp eqMp nil 67 ref 12150 remove 2474 remove 12141 ref appTerm 12145 remove appTerm appTerm nil cons cons 68 ref 12149 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 12156 remove 325 ref 1033 remove subst subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 54 ref 452 ref 288 ref 11 ref 3516 ref 3501 ref 3502 ref 534 ref 4 ref 3505 remove 687 remove 4116 ref 30 ref appTerm appTerm appTerm absTerm appTerm absTerm appTerm appTerm 12141 remove appTerm absTerm appTerm absTerm appTerm thm nil 1453 ref 1403 ref 288 ref 4 ref 54 ref 452 ref 69 ref 11874 ref 1540 remove appTerm 12227 def appTerm 9902 remove appTerm 12228 def absTerm 12229 def appTerm 12230 def absTerm 12231 def appTerm 12232 def absTerm 12233 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 12232 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 12231 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 12230 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 12229 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 12228 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12227 remove nil cons 12234 def cons 9912 remove cons nil cons cons 12235 def 86 ref subst 12235 remove 151 ref subst nil 7636 ref 8787 remove cons nil cons cons 12236 def 127 ref subst 12236 remove 347 ref subst 9924 remove 544 ref 55 ref 41 ref 55 ref 296 ref 7643 remove 7635 ref eqMp absThm appThm 377 ref trans absThm appThm 377 ref trans appThm 936 ref 9710 remove subst 8806 ref trans appThm 941 ref trans sym 105 ref eqMp nil 67 ref 11874 ref 686 ref 4117 remove appTerm 28 ref appTerm appTerm nil cons cons 9937 remove cons nil cons cons 136 ref subst proveHyp 9938 remove 11 ref 69 ref 11874 ref 959 ref appTerm appTerm 9951 ref appTerm absTerm 12237 def 30 ref appTerm 12238 def betaConv 1403 ref 288 ref 12237 ref appTerm 12239 def absTerm 12240 def 1406 ref appTerm 12241 def betaConv 4 ref 1422 ref 12240 ref appTerm 12242 def absTerm 12243 def 28 ref appTerm 12244 def betaConv 1429 ref 1403 ref 292 ref 4 ref 292 ref 11 ref 329 ref 11874 ref refl 995 ref appThm appThm 9951 ref refl appThm absThm appThm absThm appThm absThm appThm sym nil 1453 ref 1403 ref 288 ref 4 ref 288 ref 11 ref 69 ref 11874 remove 1000 ref appTerm 12245 def appTerm 9951 ref appTerm 12246 def absTerm 12247 def appTerm 12248 def absTerm 12249 def appTerm 12250 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 12250 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 12249 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 12248 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 12247 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 12246 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12245 remove nil cons 12251 def cons 68 ref 9951 remove nil cons 12252 def cons nil cons 12253 def cons nil cons cons 12254 def 86 ref subst 12254 remove 151 ref subst nil 7636 remove 1010 ref cons nil cons cons 12255 def 127 ref subst 12255 remove 347 ref subst nil 10017 remove nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 10018 remove cons nil cons nil cons cons 106 ref subst nil 10019 remove nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 9943 remove nil cons cons nil cons nil cons cons 106 ref subst 10014 ref 86 ref subst 10014 remove 151 ref subst nil 1731 ref 114 ref 9941 remove nil cons cons nil cons cons nil cons cons 12256 def 127 ref subst 12256 remove 347 ref subst nil 112 ref 10008 ref cons 7653 remove cons nil cons cons 12257 def 127 ref subst 12257 remove 347 ref subst 9827 remove nil 67 ref 10008 ref cons 9828 remove cons nil cons cons 136 ref subst 1160 remove 1030 remove subst eqMp eqMp 9833 remove proveHyp 7635 remove eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 10013 remove cons 7686 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 9967 remove 12253 remove cons nil cons cons 136 ref subst proveHyp 10060 remove eqMp proveHyp proveHyp eqMp nil 112 ref 12251 remove cons 114 ref 12252 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp 12258 def nil 67 ref 1422 ref 1403 ref 288 ref 4 ref 12239 ref absTerm 12259 def appTerm 12260 def absTerm 12261 def appTerm 12262 def nil cons 12263 def cons 12264 def 68 ref 288 ref 12243 ref appTerm nil cons 12265 def cons nil cons cons nil cons cons 12266 def 136 ref subst proveHyp 12266 ref 86 ref subst 12266 remove 151 ref subst nil 317 ref 12243 remove nil cons cons 12267 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 12242 remove nil cons 12268 def cons nil cons nil cons cons 106 ref subst nil 1453 ref 12240 remove nil cons cons 12269 def nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 12239 remove nil cons 12270 def cons nil cons nil cons cons 106 ref subst 12259 ref 28 ref appTerm 12271 def betaConv 12261 ref 1406 ref appTerm 12272 def betaConv nil 12264 remove 68 ref 12272 remove nil cons cons nil cons cons nil cons cons 136 ref subst 1452 ref 1453 ref 12261 remove nil cons cons 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12260 remove nil cons cons 68 ref 12271 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 12259 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 12263 remove cons 114 ref 12265 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 12265 remove cons 68 ref 12244 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 12267 remove 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12268 remove cons 68 ref 12241 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 12269 remove 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12270 remove cons 68 ref 12238 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 12237 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12234 remove cons 10061 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 1422 ref 12233 remove appTerm thm nil 1453 ref 1403 ref 812 ref 1548 ref 288 ref 11 ref 6995 remove 534 ref 494 ref 6996 remove 75 ref 9231 remove appTerm 12273 def 6997 ref appTerm 12274 def appTerm 12275 def absTerm 12276 def appTerm 12277 def appTerm 12278 def absTerm 12279 def appTerm 12280 def absTerm 12281 def appTerm 12282 def absTerm 12283 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 12282 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 ref 12281 remove nil cons cons nil cons nil cons cons 3128 ref subst 1548 ref nil 99 ref 12280 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 12279 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 12278 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 6994 ref nil cons 12284 def cons 12285 def 68 ref 12277 ref nil cons 12286 def cons nil cons 12287 def cons nil cons cons 12288 def 348 ref subst 12288 ref 86 ref subst 12288 remove 151 ref subst nil 871 ref 872 ref 6851 ref 39 ref 296 ref 9940 remove 12012 ref 910 ref appTerm appTerm absTerm 12289 def appTerm 12290 def appTerm 12291 def absTerm 12292 def nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 12291 ref nil cons 12293 def cons nil cons nil cons cons 106 ref subst nil 12285 ref 68 ref 12293 ref cons nil cons 12294 def cons nil cons cons 136 ref subst 329 ref 6849 remove appThm 12291 remove refl appThm sym nil 67 ref 757 ref 872 ref 6851 ref 1552 ref 4446 ref appTerm 12295 def appTerm 12296 def absTerm 12297 def appTerm nil cons 12298 def cons 12299 def 12294 remove cons nil cons cons 12300 def 86 ref subst 12300 remove 151 ref subst nil 6906 remove 68 ref 12290 ref nil cons 12301 def cons nil cons 12302 def cons nil cons cons 12303 def 86 ref subst 12303 remove 151 ref subst 12297 ref 910 ref appTerm 12304 def betaConv nil 12299 remove 68 ref 12304 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 12297 remove nil cons cons 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12296 remove nil cons cons 12302 ref cons nil cons cons 136 ref subst proveHyp 329 ref 6914 ref 4450 remove appThm 6916 remove trans appThm 12290 ref refl appThm sym nil 144 ref 296 ref 69 ref 4453 remove 297 ref appTerm 12305 def appTerm 12290 ref appTerm 12306 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 12306 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12305 ref nil cons 12307 def cons 12302 ref cons nil cons cons 12308 def 86 ref subst 12308 remove 151 ref subst 12305 ref betaConv 12305 remove assume eqMp nil 67 ref 75 ref 2411 remove 7498 ref appTerm 12309 def appTerm 9939 ref appTerm nil cons 12310 def cons 12302 remove cons nil cons cons 12311 def 136 ref subst proveHyp 12311 ref 86 ref subst 12311 remove 151 ref subst nil 112 ref 12309 ref nil cons cons 10009 ref cons nil cons cons 12312 def 127 ref subst 12312 remove 347 ref subst 12289 ref 297 ref appTerm betaConv sym 10012 remove 12012 remove refl 12309 remove assume appThm 7677 remove trans appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 12289 remove nil cons cons 314 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 12310 remove cons 114 ref 12301 remove cons nil cons 12313 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12307 remove cons 12313 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 6941 remove 12290 ref appTerm absTerm appTerm nil cons cons 68 ref 6942 remove 12290 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 4485 remove 12313 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 6943 remove 12313 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 12298 remove cons 114 ref 12293 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp nil 67 ref 757 ref 12292 remove appTerm nil cons cons 12287 ref cons nil cons cons 136 ref subst 329 ref nil 637 ref 1619 remove nil cons cons nil cons cons 5713 remove subst appThm 12277 ref refl appThm sym nil 7529 ref 5651 ref 69 ref 5651 ref 757 ref 872 ref 6851 remove 75 ref 10903 remove 30 ref appTerm 12314 def appTerm 10908 remove appTerm 12315 def appTerm 12316 def absTerm 12317 def appTerm 12318 def absTerm 12319 def 5652 ref appTerm 12320 def appTerm 12277 ref appTerm 12321 def absTerm nil cons cons nil cons nil cons cons 7544 remove subst 5651 remove nil 99 ref 12321 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12320 ref nil cons 12322 def cons 12287 ref cons nil cons cons 12323 def 86 ref subst 12323 remove 151 ref subst 12320 ref betaConv 12320 remove assume eqMp nil 67 ref 12318 remove nil cons 12324 def cons 12325 def 12287 remove cons nil cons cons 12326 def 136 ref subst proveHyp 12326 ref 86 ref subst 12326 remove 151 ref subst 12276 ref 10882 remove 1617 ref appTerm 12327 def appTerm betaConv sym nil 12285 remove 68 ref 75 ref 686 ref 12327 ref appTerm 30 ref appTerm appTerm 75 ref 54 ref 41 ref 54 ref 296 ref 69 ref 75 ref 46 ref 12327 ref appTerm appTerm 75 ref 1163 remove 12327 ref appTerm appTerm 7499 ref appTerm appTerm appTerm 298 ref appTerm absTerm appTerm absTerm appTerm appTerm 1621 remove 1407 ref 12327 ref appTerm 12328 def appTerm appTerm appTerm nil cons cons nil cons cons nil cons cons 136 ref subst 329 ref 6852 remove appThm 544 ref nil 4 ref 12327 remove nil cons 12329 def cons 12330 def nil cons nil cons cons 700 ref subst 55 ref 41 ref 329 ref nil 10926 remove nil cons cons 10888 ref subst 12331 def appThm 368 ref appThm absThm appThm trans appThm 544 ref 55 ref 41 ref 55 ref 296 ref 329 ref 544 ref 12331 ref appThm 544 ref nil 11110 remove nil cons cons 10888 remove subst appThm 7697 remove appThm appThm appThm 2202 remove appThm absThm appThm absThm appThm appThm nil 783 ref 12328 remove nil cons cons nil cons nil cons cons 1551 ref subst 758 ref 872 ref 6855 remove nil 12330 remove 2408 remove cons nil cons cons 1469 ref subst 40 ref 41 ref 2906 remove 12331 remove appThm absThm appThm trans appThm absThm appThm trans appThm appThm appThm sym nil 6876 ref 68 ref 75 ref 54 ref 41 ref 69 ref 794 ref 872 ref 10927 remove 6850 ref appTerm absTerm 12332 def appTerm 12333 def appTerm 12334 def 47 ref appTerm absTerm appTerm 12335 def appTerm 75 ref 54 ref 41 ref 54 ref 296 ref 69 ref 75 ref 12333 ref appTerm 75 ref 794 ref 872 ref 11112 remove 6850 ref appTerm 12336 def absTerm 12337 def appTerm 12338 def appTerm 12339 def 7499 remove appTerm appTerm appTerm 298 remove appTerm absTerm appTerm absTerm appTerm 12340 def appTerm 757 ref 872 ref 6854 remove 39 ref 41 ref 2413 remove 12333 ref appTerm absTerm appTerm appTerm absTerm appTerm 12341 def appTerm 12342 def appTerm nil cons 12343 def cons nil cons cons nil cons cons 12344 def 86 ref subst 12344 remove 151 ref subst nil 144 ref 296 ref 69 ref 12338 remove appTerm 9939 ref appTerm 12345 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 296 ref nil 99 ref 12345 remove nil cons 12346 def cons nil cons nil cons cons 106 ref subst nil 871 ref 872 ref 69 ref 12337 ref 910 ref appTerm 12347 def appTerm 9939 remove appTerm 12348 def absTerm 12349 def nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 12348 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12347 ref nil cons 12350 def cons 68 ref 10008 remove cons nil cons 12351 def cons nil cons cons 12352 def 86 ref subst 12352 remove 151 ref subst 12347 ref betaConv 12347 remove assume eqMp nil 67 ref 12336 remove nil cons 12353 def cons 12351 ref cons nil cons cons 12354 def 136 ref subst proveHyp 12354 ref 86 ref subst 12354 remove 151 ref subst nil 11122 remove 6965 remove cons nil cons cons 12355 def 127 ref subst 12355 remove 347 ref subst 12317 ref 910 ref appTerm 12356 def betaConv nil 12325 ref 68 ref 12356 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 12317 ref nil cons cons 12357 def 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12316 remove nil cons cons 12351 remove cons nil cons cons 136 ref subst proveHyp 329 ref 6914 remove 12315 ref refl appThm nil 99 ref 12315 remove nil cons 12358 def cons nil cons nil cons cons 2033 ref subst trans appThm 3772 ref 11136 remove appThm 1036 ref appThm appThm sym nil 67 ref 12358 ref cons 68 ref 12314 remove nil cons 12359 def cons nil cons cons nil cons cons 12360 def 86 ref subst 12360 remove 151 ref subst nil 112 ref 12359 ref cons 10914 remove cons nil cons cons 127 ref subst eqMp nil 112 ref 12358 remove cons 114 ref 12359 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12353 remove cons 10009 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12350 remove cons 10009 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 12349 remove appTerm nil cons cons 68 ref 12346 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 12337 remove nil cons cons 10009 remove cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp nil 67 ref 12335 remove nil cons cons 68 ref 12342 remove nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 144 ref "x1" 1 ref var 12361 def 54 ref 296 ref 69 ref 75 ref 794 ref 872 ref 75 ref 220 ref 12361 ref varTerm 12362 def appTerm 12363 def 10889 ref appTerm appTerm 6850 ref appTerm absTerm 12364 def appTerm 12365 def appTerm 12366 def 12339 remove 853 ref 1406 ref 12362 ref appTerm appTerm 12367 def 7498 remove appTerm appTerm appTerm appTerm 12363 ref 297 remove appTerm appTerm absTerm appTerm 12368 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 12361 ref nil 99 ref 12368 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref "x2" 1 ref var 12369 def 69 ref 12366 remove 75 ref 794 ref 872 ref 75 ref 220 ref 12369 ref varTerm 12370 def appTerm 12371 def 10889 remove appTerm appTerm 6850 ref appTerm absTerm 12372 def appTerm 12373 def appTerm 12367 ref 1406 ref 12370 ref appTerm 12374 def appTerm 12375 def appTerm 12376 def appTerm 12377 def appTerm 12363 ref 12370 ref appTerm 12378 def appTerm 12379 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 12369 ref nil 99 ref 12379 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12377 remove nil cons 12380 def cons 68 ref 12378 ref nil cons 12381 def cons nil cons 12382 def cons nil cons cons 12383 def 86 ref subst 12383 remove 151 ref subst nil 112 ref 12365 ref nil cons 12384 def cons 114 ref 12376 remove nil cons cons nil cons cons nil cons cons 12385 def 127 ref subst 12385 remove 347 ref subst nil 67 ref 12384 remove cons 12382 ref cons nil cons cons 136 ref subst nil 871 ref "y1" 721 ref var 12386 def 69 ref 12364 ref 12386 ref varTerm 12387 def appTerm 12388 def appTerm 12378 ref appTerm 12389 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 12386 remove nil 99 ref 12389 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12388 ref nil cons 12390 def cons 12382 ref cons nil cons cons 12391 def 86 ref subst 12391 remove 151 ref subst 12388 ref betaConv 12388 remove assume eqMp nil 67 ref 75 ref 12363 ref 5652 ref 12387 ref appTerm 12392 def appTerm 12393 def appTerm 805 ref 12387 ref appTerm 1617 ref appTerm 12394 def appTerm nil cons 12395 def cons 12382 ref cons nil cons cons 12396 def 136 ref subst proveHyp 12396 ref 86 ref subst 12396 remove 151 ref subst nil 112 ref 12393 ref nil cons cons 114 ref 12394 ref nil cons 12397 def cons nil cons cons nil cons cons 12398 def 127 ref subst 12398 remove 347 ref subst nil 112 ref 12373 ref nil cons 12399 def cons 114 ref 12375 ref nil cons cons nil cons cons nil cons cons 12400 def 127 ref subst 12400 remove 347 ref subst nil 67 ref 12399 remove cons 12382 ref cons nil cons cons 136 ref subst nil 871 ref "y2" 721 ref var 12401 def 69 ref 12372 ref 12401 ref varTerm 12402 def appTerm 12403 def appTerm 12378 ref appTerm 12404 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 12401 remove nil 99 ref 12404 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12403 ref nil cons 12405 def cons 12382 ref cons nil cons cons 12406 def 86 ref subst 12406 remove 151 ref subst 12403 ref betaConv 12403 remove assume eqMp nil 67 ref 75 ref 12371 remove 5652 ref 12402 ref appTerm 12407 def appTerm 12408 def appTerm 805 ref 12402 ref appTerm 1617 ref appTerm 12409 def appTerm nil cons 12410 def cons 12382 remove cons nil cons cons 12411 def 136 ref subst proveHyp 12411 ref 86 ref subst 12411 remove 151 ref subst nil 112 ref 12408 ref nil cons cons 114 ref 12409 ref nil cons 12412 def cons nil cons cons nil cons cons 12413 def 127 ref subst 12413 remove 347 ref subst 23 ref "_10597" 1 ref var 12414 def 12363 ref 12414 remove varTerm appTerm absTerm 12415 def 12370 ref appTerm 12416 def appTerm refl 12415 ref 12407 ref appTerm betaConv appThm 33 ref 12416 remove betaConv appThm 12363 remove 12407 ref appTerm refl appThm trans 12415 remove refl 12408 remove assume 12417 def appThm eqMp sym 23 ref "_10609" 1 ref var 12418 def 220 ref 12418 remove varTerm appTerm 12407 ref appTerm absTerm 12419 def 12362 ref appTerm 12420 def appTerm refl 12419 ref 12392 ref appTerm betaConv appThm 33 ref 12420 remove betaConv appThm 220 ref 12392 ref appTerm 12407 ref appTerm refl appThm trans 12419 remove refl 12393 remove assume 12421 def appThm eqMp sym 11078 remove 23 ref "_10617" 1 ref var 12422 def 853 ref 1406 ref 12422 remove varTerm appTerm appTerm 1406 ref 12407 ref appTerm 12423 def appTerm absTerm 12424 def 12362 ref appTerm 12425 def appTerm refl 12424 ref 12392 ref appTerm betaConv appThm 33 ref 12425 remove betaConv appThm 853 ref 1406 ref 12392 ref appTerm appTerm 12426 def 12423 ref appTerm 12427 def refl appThm trans 12424 remove refl 12421 remove appThm eqMp 23 ref "_10607" 1 ref var 12428 def 12367 ref 1406 ref 12428 remove varTerm appTerm appTerm absTerm 12429 def 12370 ref appTerm 12430 def appTerm refl 12429 ref 12407 ref appTerm betaConv appThm 33 ref 12430 remove betaConv appThm 12367 ref 12423 ref appTerm refl appThm trans 12429 remove refl 12417 remove appThm eqMp 12375 remove assume eqMp eqMp nil 67 ref 12427 ref nil cons cons 68 ref 853 ref 12387 ref appTerm 12402 ref appTerm 12431 def nil cons 12432 def cons nil cons cons nil cons cons 136 ref subst proveHyp 12317 ref 12402 ref appTerm 12433 def betaConv nil 12325 ref 68 ref 12433 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 12357 ref 872 ref 12402 ref nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 12409 ref appTerm 75 ref 44 ref 12407 remove appTerm 30 ref appTerm 12434 def appTerm 853 ref 12423 remove appTerm 12402 remove appTerm 12435 def appTerm 12436 def appTerm 12437 def nil cons cons 68 ref 69 ref 12427 remove appTerm 12431 ref appTerm 12438 def nil cons 12439 def cons nil cons 12440 def cons nil cons cons 136 ref subst proveHyp 12317 ref 12387 ref appTerm 12441 def betaConv nil 12325 ref 68 ref 12441 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 12357 ref 872 ref 12387 ref nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 12394 ref appTerm 75 ref 44 ref 12392 remove appTerm 30 ref appTerm 12442 def appTerm 12426 remove 12387 remove appTerm 12443 def appTerm 12444 def appTerm nil cons cons 68 ref 69 ref 12437 remove appTerm 12438 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 12397 remove cons nil cons nil cons cons 106 ref subst 12394 remove assume eqMp appThm 12444 ref refl appThm nil 99 ref 12444 remove nil cons 12445 def cons nil cons nil cons cons 2033 ref subst trans appThm 329 ref 329 ref nil 99 ref 12412 remove cons nil cons nil cons cons 106 ref subst 12409 remove assume eqMp appThm 12436 ref refl appThm nil 99 ref 12436 ref nil cons 12446 def cons nil cons nil cons cons 2033 ref subst trans appThm 12438 ref refl appThm appThm sym nil 67 ref 12445 ref cons 68 ref 69 ref 12436 remove appTerm 12438 remove appTerm nil cons 12447 def cons nil cons cons nil cons cons 12448 def 86 ref subst 12448 remove 151 ref subst nil 112 ref 12442 remove nil cons cons 114 ref 12443 ref nil cons cons nil cons cons nil cons cons 347 ref subst nil 67 ref 12446 ref cons 12440 remove cons nil cons cons 12449 def 86 ref subst 12449 remove 151 ref subst nil 112 ref 12434 remove nil cons cons 114 ref 12435 ref nil cons cons nil cons cons nil cons cons 347 ref subst 329 ref 2834 ref 12443 remove assume appThm 12435 remove assume appThm appThm 12431 remove refl appThm nil 99 ref 12432 remove cons nil cons nil cons cons 409 remove subst trans sym 105 ref eqMp proveHyp eqMp nil 112 ref 12446 remove cons 114 ref 12439 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp proveHyp eqMp nil 112 ref 12445 remove cons 114 ref 12447 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp appThm eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12410 remove cons 114 ref 12381 remove cons nil cons 12450 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12405 remove cons 12450 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 12372 ref 910 ref appTerm appTerm 12378 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 12373 remove appTerm 12378 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 12372 remove nil cons cons 12450 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 12395 remove cons 12450 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12390 remove cons 12450 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 12364 ref 910 ref appTerm appTerm 12378 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 12365 remove appTerm 12378 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 12364 remove nil cons cons 12450 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12380 remove cons 12450 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp nil 67 ref 12340 remove nil cons cons 68 ref 12341 remove nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 871 ref 795 ref 9195 remove 39 ref 41 ref 1414 ref 12333 ref appTerm 12451 def absTerm 12452 def appTerm 12453 def appTerm 12454 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 12454 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 9218 ref cons 68 ref 12453 ref nil cons 12455 def cons nil cons 12456 def cons nil cons cons 12457 def 348 ref subst 12457 ref 86 ref subst 12457 remove 151 ref subst 6857 remove 799 ref appTerm 12458 def betaConv nil 6876 remove 68 ref 12458 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 6911 remove 1462 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 9182 ref appTerm 12459 def 5618 ref appTerm nil cons cons 12456 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 9218 ref cons nil cons nil cons cons 106 ref subst 9182 ref assume 12460 def eqMp appThm 5618 ref refl appThm nil 99 ref 5618 ref nil cons cons nil cons nil cons cons 2033 ref subst trans appThm 12453 ref refl appThm sym nil 144 ref 41 ref 69 ref 5617 ref 45 ref appTerm 12461 def appTerm 12462 def 12453 ref appTerm 12463 def absTerm 12464 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 12463 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12461 ref nil cons 12465 def cons 12466 def 12456 ref cons nil cons cons 12467 def 86 ref subst 12467 remove 151 ref subst 12461 ref betaConv 12461 remove assume eqMp 12468 def nil 67 ref 5616 remove nil cons 12469 def cons 12470 def 12456 remove cons nil cons cons 12471 def 136 ref subst proveHyp 12471 ref 86 ref subst 12471 remove 151 ref subst nil 3179 ref 1727 remove cons nil cons cons 12472 def 127 ref subst 12473 def 23 ref "_10619" 721 ref var 12474 def 39 ref 41 ref 75 ref 853 ref 12474 remove varTerm appTerm 1412 ref appTerm appTerm 12333 ref appTerm absTerm appTerm absTerm 12475 def 799 ref appTerm 12476 def appTerm refl 12475 ref 1412 ref appTerm betaConv appThm 33 ref 12476 remove betaConv appThm 39 ref 1134 ref 2441 ref 794 ref 872 ref 10944 remove 6850 ref appTerm absTerm appTerm appTerm absTerm 12477 def appTerm refl appThm trans 12475 remove refl 3185 ref appThm eqMp sym 12477 ref 7504 remove appTerm betaConv sym 12317 ref 1412 ref appTerm 12478 def betaConv nil 12325 ref 68 ref 12478 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 12357 ref 2448 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 6879 ref appTerm 75 ref 10947 remove 30 ref appTerm 12479 def appTerm 10950 ref appTerm 12480 def appTerm nil cons cons 68 ref 75 ref 10953 remove appTerm 794 ref 872 ref 10961 remove 6850 remove appTerm absTerm 12481 def appTerm 12482 def appTerm 12483 def nil cons 12484 def cons nil cons 12485 def cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 6879 ref nil cons 12486 def cons nil cons nil cons cons 106 ref subst 23 ref "_10623" 721 ref var 12487 def 805 ref 12487 remove varTerm appTerm 1617 ref appTerm absTerm 12488 def 799 ref appTerm 12489 def appTerm refl 12488 ref 1412 ref appTerm betaConv appThm 33 ref 12489 remove betaConv appThm 6879 ref refl appThm trans 12488 remove refl 3185 ref appThm eqMp 12490 def 12460 remove eqMp eqMp 12491 def appThm 12480 ref refl appThm nil 99 ref 12480 remove nil cons 12492 def cons nil cons nil cons cons 2033 ref subst trans appThm 12483 remove refl appThm sym nil 67 ref 12492 ref cons 12485 remove cons nil cons cons 12493 def 86 ref subst 12493 remove 151 ref subst nil 112 ref 12479 remove nil cons cons 10960 remove cons nil cons cons 347 ref subst 544 ref 5835 remove 10950 remove assume appThm 2453 remove trans appThm 12482 ref refl appThm nil 99 ref 12482 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym 12481 ref 1412 ref appTerm betaConv sym 10965 remove 12491 remove appThm 941 ref trans sym 105 ref eqMp eqMp 870 ref 871 ref 12481 remove nil cons cons 2448 remove cons nil cons cons 594 ref subst proveHyp eqMp proveHyp eqMp nil 112 ref 12492 remove cons 114 ref 12484 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 309 ref 144 ref 12477 remove nil cons cons 10964 remove cons nil cons cons 594 ref subst proveHyp eqMp proveHyp eqMp nil 112 ref 12469 remove cons 12494 def 114 ref 12455 remove cons nil cons 12495 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12465 remove cons 12496 def 12495 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 12464 remove appTerm nil cons cons 68 ref 69 ref 5618 remove appTerm 12497 def 12453 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 5617 remove nil cons cons 12498 def 12495 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 112 ref 9218 ref cons 12495 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 12459 remove 12453 ref appTerm nil cons cons 68 ref 69 ref 12453 remove appTerm 9182 ref appTerm nil cons cons nil cons 12499 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 41 ref 69 ref 12452 ref 45 ref appTerm 12500 def appTerm 9182 remove appTerm 12501 def absTerm 12502 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 12501 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12500 ref nil cons 12503 def cons 68 ref 9218 ref cons nil cons 12504 def cons nil cons cons 12505 def 86 ref subst 12505 remove 151 ref subst 12500 ref betaConv 12500 remove assume eqMp nil 67 ref 12451 remove nil cons 12506 def cons 12504 remove cons nil cons cons 12507 def 136 ref subst proveHyp 12507 ref 86 ref subst 12507 remove 151 ref subst nil 3179 ref 114 ref 12333 remove nil cons 12508 def cons nil cons cons nil cons cons 12509 def 127 ref subst 12509 remove 347 ref subst 12490 remove sym nil 67 ref 12508 remove cons 68 ref 12486 ref cons nil cons 12510 def cons nil cons cons 136 ref subst nil 871 ref 3672 ref 69 ref 12332 ref 3673 ref appTerm 12511 def appTerm 6879 ref appTerm 12512 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 3672 remove nil 99 ref 12512 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12511 ref nil cons 12513 def cons 12510 ref cons nil cons cons 12514 def 86 ref subst 12514 remove 151 ref subst 12511 ref betaConv 12511 remove assume eqMp nil 67 ref 75 ref 221 remove 5652 remove 3673 ref appTerm 12515 def appTerm 12516 def appTerm 6715 remove 1617 ref appTerm 12517 def appTerm nil cons 12518 def cons 12510 remove cons nil cons cons 12519 def 136 ref subst proveHyp 12519 ref 86 ref subst 12519 remove 151 ref subst nil 112 ref 12516 ref nil cons cons 114 ref 12517 ref nil cons 12520 def cons nil cons cons nil cons cons 12521 def 127 ref subst 12521 remove 347 ref subst 23 ref "_10631" 1 ref var 12522 def 805 ref 1406 ref 12522 remove varTerm appTerm appTerm 1617 ref appTerm absTerm 12523 def 45 ref appTerm 12524 def appTerm refl 12523 ref 12515 ref appTerm betaConv appThm 33 ref 12524 remove betaConv appThm 805 ref 1406 ref 12515 ref appTerm 12525 def appTerm 1617 remove appTerm 12526 def refl 12527 def appThm trans 12523 remove refl 12516 remove assume appThm eqMp sym 12317 remove 3673 ref appTerm 12528 def betaConv nil 12325 remove 68 ref 12528 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 12357 remove 6736 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 12517 ref appTerm 75 ref 44 ref 12515 remove appTerm 30 ref appTerm 12529 def appTerm 853 ref 12525 remove appTerm 3673 remove appTerm 12530 def appTerm 12531 def appTerm nil cons cons 68 ref 12526 remove nil cons 12532 def cons nil cons 12533 def cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 12520 remove cons nil cons nil cons cons 106 ref subst 12517 remove assume eqMp 12534 def appThm 12531 ref refl appThm nil 99 ref 12531 remove nil cons 12535 def cons nil cons nil cons cons 2033 ref subst trans appThm 12527 remove appThm sym nil 67 ref 12535 ref cons 12533 remove cons nil cons cons 12536 def 86 ref subst 12536 remove 151 ref subst nil 112 ref 12529 remove nil cons cons 114 ref 12530 ref nil cons cons nil cons cons nil cons cons 347 ref subst 3146 ref 12530 remove assume appThm 6937 remove appThm 12534 remove trans sym 105 ref eqMp proveHyp eqMp nil 112 ref 12535 remove cons 114 ref 12532 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12518 remove cons 114 ref 12486 remove cons nil cons 12537 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12513 remove cons 12537 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 12332 ref 910 ref appTerm appTerm 6879 ref appTerm absTerm appTerm nil cons cons 68 ref 12334 remove 6879 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 12332 remove nil cons cons 12537 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12506 remove cons 114 ref 9218 remove cons nil cons 12538 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12503 remove cons 12538 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 12502 remove appTerm nil cons cons 12499 remove cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 12452 remove nil cons cons 12538 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 6967 remove 114 ref 12343 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp 324 ref 317 ref 12276 ref nil cons cons 12539 def 356 ref 12329 remove cons nil cons cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 12324 remove cons 114 ref 12286 remove cons nil cons 12540 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12322 remove cons 12540 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 7586 remove 7587 remove 69 ref 12319 ref 11197 remove appTerm appTerm 12277 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 5650 remove 12319 ref appTerm appTerm 12277 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 7542 remove 7529 remove 12319 remove nil cons cons 12540 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp proveHyp eqMp nil 112 ref 12284 ref cons 12540 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 6994 ref appTerm 12277 ref appTerm nil cons cons 68 ref 69 ref 12277 remove appTerm 6994 ref appTerm nil cons cons nil cons 12541 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 494 ref 69 ref 12276 ref 498 ref appTerm 12542 def appTerm 6994 ref appTerm 12543 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 12543 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12542 ref nil cons 12544 def cons 68 ref 12284 ref cons nil cons 12545 def cons nil cons cons 12546 def 86 ref subst 12546 remove 151 ref subst 12542 ref betaConv 12542 remove assume eqMp nil 67 ref 12275 remove nil cons 12547 def cons 12545 remove cons nil cons cons 12548 def 136 ref subst proveHyp 12548 ref 86 ref subst 12548 remove 151 ref subst nil 4420 remove 114 ref 12274 remove nil cons cons nil cons cons nil cons cons 12549 def 127 ref subst 12549 remove 347 ref subst nil 9492 ref 114 ref 6997 ref nil cons cons nil cons cons nil cons cons 347 ref subst 11391 remove 6997 remove assume appThm 4446 ref refl appThm sym nil 67 ref 4419 remove cons 68 ref 3050 ref 6853 remove appTerm 4446 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst 6274 remove 9795 ref subst eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 12547 remove cons 114 ref 12284 remove cons nil cons 12550 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12544 remove cons 12550 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 12276 remove 1822 ref appTerm appTerm 6994 remove appTerm absTerm appTerm nil cons cons 12541 remove cons nil cons cons 136 ref subst proveHyp 324 ref 12539 remove 12550 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp 12551 def eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 1422 ref 12283 remove appTerm thm 12258 remove nil 12262 remove thm nil 1453 ref 1403 ref 506 ref 2603 ref 288 ref 4 ref 69 ref 75 ref 34 ref 3516 ref 2604 ref appTerm 486 ref appTerm 12552 def appTerm 12553 def appTerm 12554 def 288 ref 11 ref 69 ref 1679 ref 2050 remove 2604 ref appTerm 28 ref appTerm 12555 def appTerm appTerm 12556 def 686 ref 425 ref 426 ref 39 ref 41 ref 428 ref 3531 ref 4446 ref appTerm 12557 def appTerm absTerm appTerm absTerm appTerm appTerm 30 ref appTerm 12558 def appTerm 12559 def absTerm 12560 def appTerm 12561 def appTerm 12562 def appTerm 1433 ref 1407 ref 485 ref 2604 ref appTerm 12563 def appTerm 12564 def appTerm 3052 ref 2901 ref 2604 ref appTerm 12565 def appTerm 12566 def appTerm 12567 def appTerm 12568 def absTerm 12569 def appTerm 12570 def absTerm 12571 def appTerm 12572 def absTerm 12573 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 12572 remove nil cons cons nil cons nil cons cons 106 ref subst nil 510 ref 12571 remove nil cons cons nil cons nil cons cons 1695 ref subst 2603 ref nil 99 ref 12570 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 12569 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 12568 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12562 remove nil cons 12574 def cons 68 ref 12567 ref nil cons 12575 def cons nil cons 12576 def cons nil cons cons 12577 def 86 ref subst 12577 remove 151 ref subst nil 112 ref 12553 ref nil cons 12578 def cons 12579 def 114 ref 12561 remove nil cons 12580 def cons nil cons cons nil cons cons 12581 def 127 ref subst 12581 remove 347 ref subst 4 ref 534 ref 494 ref 12554 ref 75 ref 288 ref 11 ref 69 ref 2625 ref appTerm 12582 def 4310 ref appTerm 12583 def absTerm 12584 def appTerm 12585 def appTerm 12586 def 288 ref 11 ref 12556 ref 686 ref 425 ref 426 ref 39 ref 41 ref 428 ref 5746 ref 12557 ref appTerm 12587 def appTerm absTerm appTerm absTerm appTerm 12588 def appTerm 30 ref appTerm 12589 def appTerm absTerm appTerm 12590 def appTerm 12591 def appTerm 12592 def absTerm 12593 def appTerm 12594 def absTerm 12595 def 28 ref appTerm 12596 def betaConv 12597 def sym 12593 ref 6 ref appTerm betaConv sym 544 ref 35 ref nil 67 ref 12578 remove cons 68 ref 23 ref 12552 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 112 ref 12552 remove nil cons cons nil cons nil cons cons 1095 ref subst eqMp appThm 400 ref trans appThm 544 ref 292 ref 11 ref 12582 ref refl 9496 ref appThm 2652 ref 709 ref subst trans absThm appThm 526 ref trans appThm 292 ref 11 ref 12556 remove refl 1035 ref 429 ref 426 ref 40 ref 41 ref 430 ref 1487 ref 12557 ref refl 12598 def appThm nil 99 ref 12557 ref nil cons 12599 def cons nil cons nil cons cons 562 ref subst 12600 def trans appThm absThm appThm absThm appThm appThm 1036 remove appThm 12601 def appThm nil 99 ref 12559 remove nil cons cons nil cons nil cons cons 106 ref subst 12560 ref 30 ref appTerm 12602 def betaConv nil 67 ref 12580 remove cons 68 ref 12602 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 12560 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp trans absThm appThm 526 ref trans appThm 941 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 12593 ref nil cons cons 12603 def 567 ref cons nil cons cons 594 ref subst proveHyp eqMp 324 ref 317 ref 12595 ref nil cons cons 12604 def 359 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 534 ref 12595 ref appTerm 12605 def nil cons 12606 def cons 12607 def 12576 ref cons nil cons cons 12608 def 136 ref subst proveHyp 2603 ref 69 ref 12605 remove appTerm 12609 def 12567 ref appTerm 12610 def absTerm 12611 def 2604 ref appTerm 12612 def betaConv 1403 ref 506 ref 12611 ref appTerm 12613 def absTerm 12614 def 1406 ref appTerm 12615 def betaConv nil 1453 ref 1403 ref 506 ref 2603 ref 288 ref 4 ref 288 ref 494 ref 69 ref 12592 ref appTerm 12567 ref appTerm 12616 def absTerm 12617 def appTerm 12618 def absTerm 12619 def appTerm 12620 def absTerm 12621 def appTerm 12622 def absTerm 12623 def nil cons cons 12624 def nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 12622 remove nil cons 12625 def cons nil cons nil cons cons 106 ref subst nil 510 ref 12621 ref nil cons cons 12626 def nil cons nil cons cons 1695 ref subst 2603 ref nil 99 ref 12620 remove nil cons 12627 def cons nil cons nil cons cons 106 ref subst nil 317 ref 12619 ref nil cons cons 12628 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 12618 remove nil cons 12629 def cons nil cons nil cons cons 106 ref subst nil 317 ref 12617 ref nil cons cons 12630 def nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 12616 remove nil cons 12631 def cons nil cons nil cons cons 106 ref subst nil 510 ref 2603 ref 69 ref 12554 ref 12586 ref 288 ref 11 ref 12582 ref 12589 ref appTerm absTerm 12632 def appTerm 12633 def appTerm 12634 def appTerm 12635 def appTerm 12567 ref appTerm 12636 def absTerm 12637 def nil cons cons 12638 def nil cons nil cons cons 1695 ref subst 2603 ref nil 99 ref 12636 ref nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12635 remove nil cons 12639 def cons 12576 ref cons nil cons cons 12640 def 86 ref subst 12640 remove 151 ref subst nil 12579 ref 114 ref 12634 remove nil cons cons nil cons cons nil cons cons 12641 def 127 ref subst 12641 remove 347 ref subst nil 112 ref 12585 ref nil cons 12642 def cons 12643 def 114 ref 12633 remove nil cons 12644 def cons nil cons cons nil cons cons 12645 def 127 ref subst 12645 remove 347 ref subst nil 783 ref 12566 ref nil cons cons 1548 ref 12564 ref nil cons cons nil cons cons nil cons cons 1551 ref subst sym nil 871 ref 795 ref 23 ref 806 ref 12564 remove appTerm appTerm 806 ref 12566 remove appTerm appTerm 12646 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 12646 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref nil 4 ref 12563 remove nil cons cons nil cons nil cons cons 1469 ref subst 40 ref 41 ref 3167 remove 2616 ref 516 ref subst appThm absThm appThm trans appThm nil 2907 ref 12565 remove nil cons cons 1462 ref cons nil cons cons 3075 ref subst 1522 ref 783 ref 329 ref nil 2615 ref 2914 remove cons nil cons cons 2918 remove subst appThm 3827 ref appThm absThm appThm trans appThm sym 23 ref 39 ref 41 ref 1414 remove 288 ref 11 ref 12582 ref 47 ref appTerm absTerm 12647 def appTerm 12648 def appTerm 12649 def absTerm 12650 def appTerm 12651 def appTerm refl 12652 def 1522 ref 783 ref 33 ref 329 ref 543 ref 356 ref 356 ref 2926 remove 2618 ref appTerm 12653 def absTerm 12654 def 1822 ref appTerm betaConv 12655 def absThm appThm appThm 3827 ref appThm appThm 292 ref 356 ref 329 ref 12655 remove appThm 3827 ref appThm absThm appThm appThm nil 2930 ref 12654 remove nil cons cons 3849 ref cons nil cons cons 4872 remove subst eqMp absThm appThm appThm sym 12652 ref 33 ref 1522 ref 783 ref 292 ref 356 ref 783 ref 356 ref 69 ref 12653 remove appTerm 807 ref appTerm absTerm 12656 def absTerm 12657 def 789 ref appTerm betaConv 2943 remove appThm 12656 remove 1822 ref appTerm betaConv trans 12658 def absThm appThm absThm appThm appThm 292 ref 356 ref 1522 ref 783 ref 12658 remove absThm appThm absThm appThm appThm nil 2945 remove 12657 remove nil cons cons nil cons nil cons cons 2947 remove 3887 remove subst subst eqMp appThm sym 12652 remove 292 ref 356 ref 1522 ref 783 ref nil 267 ref 3769 remove cons 68 ref 2618 ref nil cons cons 67 ref 2960 remove cons nil cons cons cons nil cons cons 267 ref 23 ref 69 ref 77 remove appTerm 268 ref appTerm 12659 def appTerm 71 remove 275 ref appTerm 12660 def appTerm 12661 def absTerm 12662 def 268 ref appTerm 12663 def betaConv 68 ref 198 ref 12662 ref appTerm 12664 def absTerm 12665 def 72 ref appTerm 12666 def betaConv 67 ref 198 ref 12665 ref appTerm 12667 def absTerm 12668 def 70 ref appTerm 12669 def betaConv 1292 ref 67 ref 1292 ref 68 ref 1292 remove 267 ref 12661 remove assume sym 23 ref 12660 remove appTerm 12659 remove appTerm 12670 def assume sym deductAntisym absThm appThm absThm appThm absThm appThm nil 198 ref 67 ref 198 ref 68 ref 198 ref 267 ref 12670 remove absTerm appTerm absTerm appTerm absTerm appTerm axiom eqMp nil 67 ref 198 remove 12668 ref appTerm nil cons cons 68 ref 12669 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 12668 remove nil cons cons 1580 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12667 remove nil cons cons 68 ref 12666 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 12665 remove nil cons cons 1596 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12664 remove nil cons cons 68 ref 12663 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 12662 remove nil cons cons 5135 remove cons nil cons cons 161 ref subst eqMp eqMp subst absThm appThm 33 ref 1522 ref 783 ref 69 ref 2925 remove appTerm refl 783 ref 69 ref 2618 ref appTerm 12671 def 807 ref appTerm absTerm 12672 def 789 ref appTerm betaConv appThm absThm appThm appThm 12672 ref 2924 ref appTerm betaConv appThm nil 2962 ref 12672 remove nil cons cons 2963 remove cons nil cons cons 1599 ref 11517 remove subst subst eqMp trans absThm appThm appThm sym nil 67 ref 12651 ref nil cons 12673 def cons 68 ref 288 ref 356 ref 12671 ref 12066 remove appTerm absTerm 12674 def appTerm 12675 def nil cons 12676 def cons nil cons 12677 def cons nil cons cons 348 ref subst nil 144 ref 41 ref 69 ref 12650 ref 45 ref appTerm 12678 def appTerm 12675 ref appTerm 12679 def absTerm 12680 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 12679 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12678 ref nil cons 12681 def cons 12677 ref cons nil cons cons 12682 def 86 ref subst 12682 remove 151 ref subst 12678 ref betaConv 12678 remove assume eqMp nil 67 ref 12649 remove nil cons 12683 def cons 12677 remove cons nil cons cons 12684 def 136 ref subst proveHyp 12684 ref 86 ref subst 12684 remove 151 ref subst nil 3179 remove 114 ref 12648 ref nil cons 12685 def cons nil cons cons nil cons cons 12686 def 127 ref subst 12686 remove 347 ref subst 23 ref "_10762" 721 ref var 12687 def 288 ref 356 ref 12671 ref 805 ref 12687 remove varTerm appTerm 2924 ref appTerm appTerm absTerm appTerm absTerm 12688 def 799 ref appTerm 12689 def appTerm refl 12688 ref 1412 ref appTerm betaConv appThm 33 ref 12689 remove betaConv appThm 288 ref 356 ref 12671 remove 3531 ref 2924 remove appTerm appTerm absTerm 12690 def appTerm 12691 def refl appThm trans 12688 remove refl 3185 ref appThm eqMp 12692 def sym nil 317 ref 11 ref 12582 ref 12557 ref appTerm 12693 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 12693 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 2651 ref cons 12694 def 68 ref 12599 ref cons nil cons 12695 def cons nil cons cons 12696 def 86 ref subst 12696 remove 151 ref subst nil 12694 ref 1017 remove cons nil cons cons 136 ref subst 12647 ref 30 ref appTerm 12697 def betaConv nil 67 ref 12685 ref cons 68 ref 12697 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 12647 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp nil 1819 ref 12695 ref cons nil cons cons 136 ref subst proveHyp 1037 ref 9861 remove subst eqMp eqMp nil 112 ref 2651 remove cons 12698 def 114 ref 12599 ref cons nil cons 12699 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12683 remove cons 114 ref 12676 ref cons nil cons 12700 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12681 remove cons 12700 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 12680 remove appTerm nil cons cons 68 ref 69 ref 12651 ref appTerm 12675 ref appTerm nil cons 12701 def cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 12650 remove nil cons cons 12700 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 12701 remove cons 68 ref 69 ref 12675 ref appTerm 12651 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 12676 ref cons 12702 def 68 ref 12673 ref cons nil cons 12703 def cons nil cons cons 12704 def 86 ref subst 12704 remove 151 ref subst 2616 remove 325 ref 472 ref subst 12705 def subst 12553 remove assume eqMp nil 67 ref 534 ref 356 ref 2618 remove absTerm 12706 def appTerm 12707 def nil cons cons 12703 ref cons nil cons cons 136 ref subst proveHyp nil 317 ref 11 ref 69 ref 12706 ref 30 ref appTerm 12708 def appTerm 12651 ref appTerm 12709 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 12709 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12708 ref nil cons 12710 def cons 12703 ref cons nil cons cons 12711 def 86 ref subst 12711 remove 151 ref subst 12708 ref betaConv 12708 remove assume eqMp nil 12694 ref 12703 ref cons nil cons cons 12712 def 136 ref subst proveHyp 12712 ref 86 ref subst 12712 remove 151 ref subst 12674 ref 30 ref appTerm 12713 def betaConv nil 12702 remove 68 ref 12713 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 12674 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12582 ref 806 ref 4446 ref appTerm 12714 def appTerm 12715 def nil cons cons 12703 ref cons nil cons cons 136 ref subst proveHyp nil 12694 ref 68 ref 69 ref 12714 ref appTerm 12651 ref appTerm 12716 def nil cons cons nil cons cons nil cons cons 151 ref subst 329 ref 1037 remove 1469 ref subst appThm 12651 ref refl appThm sym nil 144 ref 41 ref 12462 remove 12651 ref appTerm 12717 def absTerm 12718 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 12717 remove nil cons cons nil cons nil cons cons 106 ref subst nil 12466 remove 12703 ref cons nil cons cons 12719 def 86 ref subst 12719 remove 151 ref subst 12468 remove nil 12470 remove 12703 remove cons nil cons cons 12720 def 136 ref subst proveHyp 12720 ref 86 ref subst 12720 remove 151 ref subst 12473 remove 12472 remove 347 ref subst 23 ref "_10773" 721 ref var 12721 def 39 ref 41 ref 75 ref 853 ref 12721 remove varTerm appTerm 1412 ref appTerm appTerm 12648 ref appTerm absTerm appTerm absTerm 12722 def 799 ref appTerm 12723 def appTerm refl 12722 ref 1412 remove appTerm betaConv appThm 33 ref 12723 remove betaConv appThm 39 ref 1134 ref 2441 remove 288 ref 11 ref 12582 remove 1261 ref appTerm absTerm appTerm appTerm absTerm 12724 def appTerm refl appThm trans 12722 remove refl 3185 remove appThm eqMp sym 12724 ref 45 ref appTerm betaConv sym 2454 remove 12648 remove refl appThm nil 99 ref 12685 remove cons nil cons nil cons cons 562 ref subst trans sym nil 317 ref 3502 ref 69 ref 497 remove 3503 ref appTerm 2604 ref appTerm 12725 def appTerm 12726 def 46 remove 3503 ref appTerm 12727 def appTerm 12728 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 3502 ref nil 99 ref 12728 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12725 ref nil cons 12729 def cons 68 ref 12727 ref nil cons 12730 def cons nil cons 12731 def cons nil cons cons 12732 def 86 ref subst 12732 remove 151 ref subst 12690 ref 3503 ref appTerm 12733 def betaConv 12692 remove 12675 remove assume eqMp nil 67 ref 12691 remove nil cons cons 68 ref 12733 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 12690 remove nil cons cons 356 ref 3503 ref nil cons 12734 def cons nil cons 12735 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12726 ref 3531 ref 1407 ref 3503 ref appTerm appTerm 12736 def appTerm nil cons cons 12731 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 12729 ref cons nil cons nil cons cons 106 ref subst 12725 remove assume eqMp appThm 12737 def 12736 ref refl appThm nil 99 ref 12736 ref nil cons 12738 def cons nil cons nil cons cons 12739 def 2033 ref subst trans appThm 12727 ref refl 12740 def appThm sym nil 67 ref 12738 ref cons 12731 ref cons nil cons cons 12741 def 86 ref subst 12741 remove 151 ref subst 12632 ref 3503 ref appTerm 12742 def betaConv nil 67 ref 12644 remove cons 68 ref 12742 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 12632 remove nil cons cons 12735 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12726 remove 686 ref 425 ref 426 ref 39 ref 41 ref 428 ref 5746 ref 12736 ref appTerm 12743 def appTerm absTerm appTerm absTerm appTerm 12744 def appTerm 3503 ref appTerm appTerm nil cons cons 12731 ref cons nil cons cons 136 ref subst proveHyp 329 ref 12737 remove nil 11 ref 12734 remove cons 4 ref 12744 remove nil cons cons nil cons cons nil cons cons 700 ref subst 55 ref "_10787" 1 ref var 12745 def 329 ref 33 ref 44 ref 12745 remove varTerm 12746 def appTerm 12747 def refl 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 12743 ref absTerm 12748 def 45 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 12748 ref 12746 ref appTerm betaConv appThm nil 56 ref 12748 remove nil cons cons 41 ref 12746 remove nil cons cons nil cons cons nil cons cons 465 ref subst eqMp appThm 12747 remove 3503 remove appTerm refl appThm absThm appThm trans appThm nil 99 ref 54 ref 41 ref 69 ref 12743 ref appTerm 12727 remove appTerm absTerm 12749 def appTerm nil cons 12750 def cons nil cons nil cons cons 2033 ref subst trans appThm 12740 remove appThm sym nil 67 ref 12750 ref cons 12751 def 12731 ref cons nil cons cons 12752 def 86 ref subst 12752 remove 151 ref subst 5834 ref 12739 remove 106 ref subst 12736 remove assume eqMp appThm 5836 remove trans sym 12584 ref 30 ref appTerm 12753 def betaConv nil 67 ref 12642 remove cons 12754 def 68 ref 12753 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 12584 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12583 remove nil cons cons 4070 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 2652 remove 106 ref subst 2625 remove assume eqMp appThm 4344 ref appThm nil 99 ref 4362 remove cons nil cons nil cons cons 2033 ref subst trans appThm 4057 remove appThm sym nil 4374 ref 4070 remove cons nil cons cons 12755 def 86 ref subst 12755 remove 151 ref subst 9374 remove eqMp nil 9323 remove 4078 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 67 ref 12743 remove nil cons cons 12731 remove cons nil cons cons 136 ref subst proveHyp 12749 ref 45 ref appTerm 12756 def betaConv nil 12751 remove 68 ref 12756 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 12749 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 112 ref 12750 remove cons 114 ref 12730 remove cons nil cons 12757 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 12738 remove cons 12757 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 12729 remove cons 12757 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp 309 ref 144 ref 12724 remove nil cons cons 311 ref cons nil cons cons 594 ref subst proveHyp eqMp proveHyp proveHyp eqMp nil 12494 remove 114 ref 12673 ref cons nil cons 12758 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 12496 remove 12758 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 12718 remove appTerm nil cons cons 68 ref 12497 remove 12651 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 12498 remove 12758 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 67 ref 2626 remove 12716 remove appTerm nil cons cons 68 ref 69 ref 12715 remove appTerm 12651 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 267 ref 12673 remove cons 68 ref 12714 remove nil cons cons 12694 remove nil cons cons cons nil cons cons nil 67 ref 76 remove 275 ref appTerm nil cons 12759 def cons 68 ref 10362 remove 268 remove appTerm nil cons 12760 def cons nil cons cons nil cons cons 12761 def 86 ref subst 12761 remove 151 ref subst nil 339 remove 68 ref 5134 ref cons nil cons 12762 def cons nil cons cons 12763 def 86 ref subst 12763 remove 151 ref subst nil 113 remove 114 ref 275 remove nil cons cons nil cons cons nil cons cons 12764 def 127 ref subst 136 ref proveHyp 129 remove eqMp nil 333 remove 12762 remove cons nil cons cons 136 ref subst proveHyp 12764 remove 347 ref subst eqMp eqMp nil 344 remove 114 ref 5134 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 12759 remove cons 114 ref 12760 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp 12765 def subst eqMp eqMp eqMp nil 12698 remove 12758 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 12710 remove cons 12758 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 12706 ref 1822 ref appTerm appTerm 12651 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 12707 remove appTerm 12651 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 12706 remove nil cons cons 12758 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 12676 remove cons 12758 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 12639 remove cons 114 ref 12575 remove cons nil cons 12766 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 34 ref 1701 ref 2604 ref appTerm 12767 def appTerm 12768 def nil cons 12769 def cons 68 ref 12631 ref cons nil cons 12770 def cons nil cons cons 12771 def 86 ref subst 12771 remove 151 ref subst 23 ref "_10791" 483 ref var 12772 def 69 ref 12554 remove 12586 remove 288 ref 11 ref 69 ref 1679 ref 12772 remove varTerm appTerm appTerm 12589 ref appTerm absTerm appTerm appTerm appTerm appTerm 12567 ref appTerm absTerm 12773 def 12555 ref appTerm 12774 def appTerm refl 12773 ref 2604 ref appTerm betaConv appThm 33 ref 12774 remove betaConv appThm 12636 remove refl appThm trans 12773 remove refl nil 2615 remove 359 ref cons nil cons cons 325 ref 4 ref 23 ref 50 ref appTerm 2748 remove appTerm 12775 def absTerm 12776 def 28 ref appTerm 12777 def betaConv 41 ref 288 ref 12776 ref appTerm 12778 def absTerm 12779 def 45 ref appTerm 12780 def betaConv 55 ref 41 ref 292 ref 4 ref 12775 remove assume sym 2749 remove assume sym deductAntisym absThm appThm absThm appThm 2747 remove eqMp nil 67 ref 54 ref 12779 ref appTerm nil cons cons 68 ref 12780 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 12779 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12778 remove nil cons cons 68 ref 12777 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 12776 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp subst subst 12768 remove assume eqMp appThm eqMp sym 12637 ref 2604 ref appTerm 12781 def betaConv nil 67 ref 506 ref 12637 remove appTerm nil cons cons 68 ref 12781 remove nil cons cons nil cons cons nil cons cons 136 ref subst 509 ref 12638 remove 511 ref 2605 remove cons nil cons 12782 def cons nil cons cons 161 ref subst eqMp eqMp 12783 def eqMp eqMp nil 112 ref 12769 ref cons 114 ref 12631 ref cons nil cons 12784 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 12767 ref nil cons 12785 def cons 12770 remove cons nil cons cons 12786 def 86 ref subst 12786 remove 151 ref subst nil 67 ref 12592 remove nil cons 12787 def cons 12788 def 12576 ref cons nil cons cons 12789 def 86 ref subst 12789 ref 151 ref subst nil 12579 remove 114 ref 12591 remove nil cons cons nil cons cons nil cons cons 347 ref subst nil 12643 remove 114 ref 12590 remove nil cons 12790 def cons nil cons cons nil cons cons 12791 def 127 ref subst 12791 remove 347 ref subst nil 12754 remove 12576 ref cons nil cons cons 136 ref subst 488 ref 69 ref 1701 ref 491 ref appTerm appTerm 3516 ref 1652 ref 2051 ref 28 ref appTerm appTerm appTerm 491 ref appTerm appTerm absTerm 12792 def 2604 ref appTerm 12793 def betaConv 356 ref 506 ref 488 ref 2489 remove 3516 ref 1651 remove 1822 ref appTerm 2051 remove 1822 ref appTerm appTerm appTerm 491 remove appTerm appTerm absTerm appTerm absTerm 12794 def 28 ref appTerm 12795 def betaConv 325 remove 3426 remove subst nil 67 ref 288 ref 12794 ref appTerm nil cons cons 68 ref 12795 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 12794 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 506 ref 12792 ref appTerm nil cons cons 68 ref 12793 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 510 ref 12792 remove nil cons cons 12782 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 12767 ref appTerm 3516 ref 1652 ref 12555 ref appTerm 12796 def appTerm 2604 ref appTerm 12797 def appTerm nil cons cons 68 ref 69 ref 12585 remove appTerm 12567 ref appTerm 12798 def nil cons 12799 def cons nil cons 12800 def cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 12785 ref cons nil cons nil cons cons 106 ref subst 12767 ref assume eqMp appThm 12797 ref refl appThm nil 99 ref 12797 ref nil cons 12801 def cons nil cons nil cons cons 2033 ref subst trans appThm 12798 remove refl appThm sym nil 67 ref 12801 ref cons 12800 remove cons nil cons cons 12802 def 86 ref subst 12802 remove 151 ref subst 23 ref "_10793" 483 ref var 12803 def 69 ref 288 ref 11 ref 69 ref 1679 ref 12803 remove varTerm 12804 def appTerm appTerm 4310 ref appTerm absTerm appTerm appTerm 1433 ref 1407 ref 485 ref 12804 ref appTerm appTerm appTerm 3052 ref 2901 ref 12804 remove appTerm appTerm appTerm appTerm absTerm 12805 def 2604 ref appTerm 12806 def appTerm refl 12805 ref 12796 ref appTerm betaConv appThm 33 ref 12806 remove betaConv appThm 69 ref 288 ref 11 ref 69 ref 1679 ref 12796 ref appTerm appTerm 4310 ref appTerm absTerm appTerm appTerm 1433 ref 1407 ref 485 ref 12796 ref appTerm appTerm appTerm 3052 ref 2901 ref 12796 remove appTerm appTerm appTerm appTerm 12807 def refl appThm trans 12805 remove refl 12797 remove assume sym appThm eqMp sym nil 67 ref 12790 remove cons 68 ref 69 ref 34 ref 3516 ref 12555 ref appTerm 486 ref appTerm 12808 def appTerm 12809 def appTerm 12807 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst "h" 483 ref var 12810 def 69 ref 288 ref 11 ref 69 ref 1679 ref 12810 ref varTerm 12811 def appTerm 12812 def appTerm 12813 def 12589 ref appTerm 12814 def absTerm 12815 def appTerm 12816 def appTerm 69 ref 34 ref 3516 ref 12811 ref appTerm 486 ref appTerm 12817 def appTerm 12818 def appTerm 69 ref 288 ref 11 ref 69 ref 1679 ref 1652 ref 12811 ref appTerm 12819 def appTerm 12820 def appTerm 4310 ref appTerm absTerm 12821 def appTerm 12822 def appTerm 1433 ref 1407 ref 485 ref 12819 ref appTerm appTerm appTerm 3052 ref 2901 ref 12819 ref appTerm appTerm appTerm 12823 def appTerm 12824 def appTerm 12825 def appTerm 12826 def absTerm 12827 def 12555 ref appTerm 12828 def betaConv nil 510 ref 12827 ref nil cons cons 12829 def nil cons nil cons cons 1695 ref subst 12810 remove nil 99 ref 12826 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12816 ref nil cons 12830 def cons 12831 def 68 ref 12825 remove nil cons 12832 def cons nil cons cons nil cons cons 12833 def 86 ref subst 12833 remove 151 ref subst nil 67 ref 12818 ref nil cons 12834 def cons 12835 def 68 ref 12824 remove nil cons 12836 def cons nil cons cons nil cons cons 12837 def 86 ref subst 12837 remove 151 ref subst nil 67 ref 12822 remove nil cons 12838 def cons 12839 def 68 ref 12823 remove nil cons 12840 def cons nil cons cons nil cons cons 12841 def 86 ref subst 12841 remove 151 ref subst 2755 ref 9914 ref nil 1647 remove 12811 ref nil cons 12842 def cons 12843 def nil cons 12844 def nil cons cons 1750 ref subst appThm appThm 9079 ref nil 488 ref 12842 ref cons 12845 def 358 remove 3060 remove cons 12846 def cons nil cons cons 2917 ref 2889 remove subst subst appThm nil "u" 2897 remove var 2901 ref 12811 ref appTerm 12847 def nil cons cons 2406 remove cons nil cons cons 897 ref 1750 remove subst subst trans appThm sym 2912 ref 75 ref 1433 ref 1407 ref 609 remove 485 ref 12811 ref appTerm 12848 def appTerm appTerm 12849 def appTerm 12850 def 2912 ref varTerm 12851 def appTerm appTerm 1433 ref 12851 ref appTerm 5600 ref 3052 ref 12847 remove appTerm 12852 def appTerm 12853 def appTerm appTerm absTerm 12854 def 5600 ref 1407 ref 12848 ref appTerm 12855 def appTerm 12856 def appTerm betaConv sym 494 ref 251 ref 75 ref 686 ref 425 ref 426 ref 39 ref 41 ref 428 ref 5746 ref 3532 ref appTerm 12857 def appTerm absTerm appTerm absTerm appTerm 12858 def appTerm 28 ref appTerm appTerm 12859 def 686 ref 12848 ref appTerm 12860 def 498 ref appTerm appTerm 12861 def appTerm 75 ref 686 ref 425 ref 426 ref 39 ref 41 ref 428 ref 5746 ref 3531 remove 12855 ref appTerm 12862 def appTerm 12863 def appTerm absTerm appTerm absTerm appTerm 12864 def appTerm 12865 def 12848 ref appTerm 12866 def appTerm 4303 ref appTerm 12867 def appTerm absTerm 12868 def 498 ref appTerm betaConv sym nil 12843 remove 11 ref 12864 remove nil cons 12869 def cons nil cons cons nil cons cons 4734 remove subst sym nil 317 ref 11 ref 12813 ref 12865 ref 30 ref appTerm 12870 def appTerm 12871 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 12871 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12812 ref nil cons 12872 def cons 12873 def 68 ref 12870 remove nil cons 12874 def cons nil cons 12875 def cons nil cons cons 12876 def 86 ref subst 12876 remove 151 ref subst 3230 ref 75 ref 12865 ref 3231 remove appTerm appTerm 8850 ref appTerm absTerm 12877 def 12588 ref appTerm betaConv sym nil 11 ref 12588 ref nil cons 12878 def cons 4 ref 12869 remove cons nil cons 12879 def cons nil cons cons 700 ref subst 55 ref 41 ref 329 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 12863 ref absTerm 12880 def 45 ref appTerm betaConv 12881 def appThm absThm appThm absThm appThm appThm appThm 12881 remove appThm nil 56 ref 12880 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp appThm 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 12587 ref absTerm 12882 def 45 ref appTerm betaConv 12883 def appThm absThm appThm absThm appThm appThm appThm 12883 remove appThm nil 56 ref 12882 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 12884 def appThm absThm appThm trans sym nil 144 ref 41 ref 69 ref 12863 ref appTerm 12587 ref appTerm 12885 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 12885 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12863 remove nil cons 12886 def cons 68 ref 12587 remove nil cons 12887 def cons nil cons cons nil cons cons 12888 def 86 ref subst 12888 remove 151 ref subst nil 5063 remove 114 ref 12862 remove nil cons 12889 def cons nil cons cons nil cons cons 12890 def 127 ref subst 12890 remove 347 ref subst 544 ref 5058 remove appThm 12598 ref appThm 12600 remove trans sym 11 ref 69 ref 12860 remove 30 ref appTerm 12891 def appTerm 3050 ref 12855 ref appTerm 4446 ref appTerm 12892 def appTerm 12893 def absTerm 12894 def 30 ref appTerm 12895 def betaConv 4495 remove 12848 ref appTerm 12896 def betaConv 9790 remove 4491 remove 9791 remove proveHyp 9792 remove eqMp eqMp nil 9793 remove 68 ref 12896 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 9794 remove 356 ref 12848 remove nil cons 12897 def cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 288 ref 12894 ref appTerm nil cons cons 68 ref 12895 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 12894 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12893 ref nil cons cons 12695 ref cons nil cons cons 136 ref subst proveHyp 3230 remove 75 ref 3232 remove 12811 ref appTerm appTerm 8850 remove appTerm absTerm 12898 def 30 ref appTerm betaConv sym 544 ref nil 99 ref 12872 ref cons nil cons nil cons cons 106 ref subst 12812 remove assume eqMp 12899 def appThm 1038 remove appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 12898 ref nil cons cons 361 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 534 ref 12898 remove appTerm nil cons cons 68 ref 12891 ref nil cons 12900 def cons nil cons cons nil cons cons 136 ref subst proveHyp nil 637 ref 12844 remove cons nil cons cons 4952 remove subst eqMp nil 67 ref 12900 remove cons 12901 def 68 ref 69 ref 12892 ref appTerm 12557 ref appTerm 12902 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp 329 ref nil 4448 remove 1548 ref 12855 ref nil cons cons nil cons cons nil cons cons 3059 remove subst appThm 12598 remove appThm sym nil 67 ref 757 ref 872 ref 69 ref 1552 ref 12855 ref appTerm appTerm 12295 remove appTerm absTerm 12903 def appTerm nil cons 12904 def cons 12905 def 12695 ref cons nil cons cons 12906 def 86 ref subst 12906 remove 151 ref subst nil 67 ref 12889 remove cons 12695 remove cons nil cons cons 136 ref subst 2452 remove 12903 ref 910 ref appTerm 12907 def betaConv nil 12905 remove 68 ref 12907 remove nil cons cons nil cons cons nil cons cons 136 ref subst 870 ref 871 ref 12903 remove nil cons cons 3115 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 112 ref 12904 remove cons 12699 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 67 ref 75 ref 12891 remove appTerm 12902 remove appTerm nil cons cons 68 ref 69 ref 12893 remove appTerm 12557 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 267 ref 12599 remove cons 68 ref 12892 remove nil cons cons 12901 remove nil cons cons cons nil cons cons 12765 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12886 remove cons 114 ref 12887 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 67 ref 12865 remove 12588 remove appTerm nil cons cons 68 ref 12589 ref nil cons cons nil cons 12908 def cons nil cons cons 151 ref subst proveHyp nil 12873 ref 12908 remove cons nil cons cons 136 ref subst 12815 ref 30 ref appTerm 12909 def betaConv nil 12831 remove 68 ref 12909 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 12815 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 12910 def eqMp eqMp eqMp 324 ref 317 ref 12877 ref nil cons cons 356 ref 12878 ref cons nil cons cons nil cons cons 594 ref subst proveHyp nil 67 ref 534 ref 12877 remove appTerm nil cons cons 12875 remove cons nil cons cons 136 ref subst proveHyp nil 4041 remove 12879 remove cons nil cons cons 4410 remove subst eqMp eqMp nil 112 ref 12872 remove cons 12911 def 114 ref 12874 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 67 ref 12866 remove nil cons cons 4335 ref cons nil cons cons 151 ref subst proveHyp nil 12845 ref 1668 remove 359 ref cons cons nil cons cons 1670 ref subst 1700 remove 1701 ref 12811 remove appTerm 12912 def refl appThm nil 99 ref 12912 remove nil cons cons nil cons nil cons cons 1351 ref subst trans trans sym 105 ref eqMp nil 67 ref 1701 remove 12819 remove appTerm nil cons cons 4335 remove cons nil cons cons 136 ref subst proveHyp 714 ref 12821 ref 30 ref appTerm 12913 def betaConv nil 12839 remove 68 ref 12913 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 12821 remove nil cons cons 361 ref cons nil cons cons 161 ref subst eqMp eqMp 12914 def subst eqMp eqMp nil 112 ref 12861 remove nil cons cons 114 ref 12867 remove nil cons cons nil cons cons nil cons cons 1816 remove subst proveHyp eqMp 324 ref 317 ref 12868 ref nil cons cons 4039 ref cons nil cons cons 594 ref subst proveHyp nil 67 ref 534 ref 12868 remove appTerm nil cons cons 68 ref 12850 ref 12856 ref appTerm nil cons 12915 def cons nil cons cons nil cons cons 136 ref subst proveHyp nil 11 ref 12897 remove cons nil cons nil cons cons 11 ref 69 ref 534 ref 494 ref 251 ref 12859 remove 4310 ref appTerm appTerm 75 ref 12589 remove appTerm 4303 remove appTerm appTerm 12916 def absTerm 12917 def appTerm 12918 def appTerm 12919 def 9649 ref appTerm 12920 def absTerm 12921 def 30 ref appTerm 12922 def betaConv 1403 ref 288 ref 12921 ref appTerm 12923 def absTerm 12924 def 1406 ref appTerm 12925 def betaConv 4 ref 1422 ref 12924 ref appTerm 12926 def absTerm 12927 def 28 ref appTerm 12928 def betaConv nil 1453 ref 1403 ref 288 ref 4 ref 288 ref 11 ref 288 ref 494 ref 69 ref 12916 ref appTerm 9649 ref appTerm 12929 def absTerm 12930 def appTerm 12931 def absTerm 12932 def appTerm 12933 def absTerm 12934 def appTerm 12935 def absTerm 12936 def nil cons cons 12937 def nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 12935 remove nil cons 12938 def cons nil cons nil cons cons 106 ref subst nil 317 ref 12934 ref nil cons cons 12939 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 12933 remove nil cons 12940 def cons nil cons nil cons cons 106 ref subst nil 317 ref 12932 ref nil cons cons 12941 def nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 12931 remove nil cons 12942 def cons nil cons nil cons cons 106 ref subst nil 317 ref 12930 ref nil cons cons 12943 def nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 12929 remove nil cons cons nil cons nil cons cons 106 ref subst 329 ref 1259 ref 544 ref nil 596 remove 4 ref 12858 remove nil cons cons nil cons cons nil cons cons 700 ref subst 55 ref 41 ref 329 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 12857 remove absTerm 12944 def 45 ref appTerm betaConv 12945 def appThm absThm appThm absThm appThm appThm appThm 12945 remove appThm nil 56 ref 12944 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 5834 ref 3518 remove appThm trans appThm 634 ref appThm absThm appThm trans appThm 4344 remove appThm appThm 544 ref nil 4 ref 12878 remove cons nil cons nil cons cons 700 remove subst 55 ref 41 ref 329 ref 12884 remove 5834 remove nil 637 remove 2776 remove cons nil cons cons 1469 ref subst appThm trans appThm 368 ref appThm absThm appThm trans appThm 4345 remove appThm appThm appThm 9596 remove appThm sym nil 67 ref 251 ref 75 ref 54 ref 41 ref 69 ref 5746 ref 3520 remove appTerm appTerm 49 ref appTerm absTerm 12946 def appTerm 12947 def appTerm 4348 remove appTerm 12948 def appTerm 75 ref 54 ref 41 ref 69 ref 5746 remove 3187 remove appTerm appTerm 47 ref appTerm absTerm 12949 def appTerm 12950 def appTerm 4352 remove appTerm 12951 def appTerm nil cons 12952 def cons 9612 ref cons nil cons cons 12953 def 86 ref subst 12953 remove 151 ref subst nil 67 ref 12951 remove nil cons 12954 def cons 9612 ref cons nil cons cons 12955 def 86 ref subst 12955 remove 151 ref subst nil 112 ref 12950 remove nil cons 12956 def cons 4379 remove cons nil cons cons 12957 def 127 ref subst 12957 remove 347 ref subst 9614 ref 795 ref nil 99 ref 23 ref 5614 ref appTerm 5619 ref appTerm nil cons cons nil cons nil cons cons 106 ref subst 12958 def nil 67 ref 5614 ref nil cons 12959 def cons 5627 remove cons nil cons cons 348 ref subst 12960 def 5641 remove nil 67 ref 5621 remove cons 68 ref 69 ref 5619 ref appTerm 5614 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp 12961 def nil 67 ref 5626 ref cons 68 ref 12959 ref cons nil cons 12962 def cons nil cons cons 12963 def 86 ref subst 12964 def 12963 remove 151 ref subst 12965 def 544 ref 40 ref 41 ref 544 ref nil 2775 remove 1462 ref cons nil cons cons 10794 remove subst appThm 12966 def 634 ref appThm absThm appThm appThm 40 ref 41 ref 12966 remove 368 ref appThm absThm appThm appThm 5619 remove assume eqMp 12967 def nil 112 ref 39 ref 41 ref 2860 ref 49 ref appTerm absTerm 12968 def appTerm 12969 def nil cons 12970 def cons 114 ref 39 ref 41 ref 2860 remove 47 ref appTerm absTerm 12971 def appTerm 12972 def nil cons 12973 def cons nil cons cons nil cons cons 12974 def 127 ref subst proveHyp 12975 def 12967 remove 12974 remove 347 ref subst proveHyp 12976 def nil 67 ref 12970 remove cons 12962 ref cons nil cons cons 136 ref subst 12977 def nil 144 ref 12361 ref 69 ref 12968 ref 12362 ref appTerm 12978 def appTerm 5614 ref appTerm 12979 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 12980 def 12361 ref nil 99 ref 12979 remove nil cons cons nil cons nil cons cons 106 ref subst 12981 def nil 67 ref 12978 ref nil cons 12982 def cons 12962 ref cons nil cons cons 12983 def 86 ref subst 12984 def 12983 remove 151 ref subst 12985 def 12978 ref betaConv 12978 remove assume eqMp nil 67 ref 75 ref 12367 ref 799 ref appTerm 12986 def appTerm 44 ref 12362 ref appTerm 12987 def 28 ref appTerm 12988 def appTerm nil cons 12989 def cons 12962 ref cons nil cons cons 12990 def 136 ref subst proveHyp 12991 def 12990 ref 86 ref subst 12992 def 12990 remove 151 ref subst 12993 def nil 112 ref 12986 ref nil cons cons 114 ref 12988 ref nil cons 12994 def cons nil cons cons nil cons cons 12995 def 127 ref subst 12996 def 12995 remove 347 ref subst 12997 def nil 67 ref 12973 remove cons 12962 ref cons nil cons cons 136 ref subst 12998 def nil 144 ref 12369 ref 69 ref 12971 ref 12370 ref appTerm 12999 def appTerm 5614 ref appTerm 13000 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 13001 def 12369 ref nil 99 ref 13000 remove nil cons cons nil cons nil cons cons 106 ref subst 13002 def nil 67 ref 12999 ref nil cons 13003 def cons 12962 ref cons nil cons cons 13004 def 86 ref subst 13005 def 13004 remove 151 ref subst 13006 def 12999 ref betaConv 12999 remove assume eqMp nil 67 ref 75 ref 853 ref 12374 remove appTerm 13007 def 799 ref appTerm 13008 def appTerm 44 ref 12370 ref appTerm 13009 def 30 ref appTerm 13010 def appTerm nil cons 13011 def cons 12962 ref cons nil cons cons 13012 def 136 ref subst proveHyp 13013 def 13012 ref 86 ref subst 13014 def 13012 remove 151 ref subst 13015 def nil 112 ref 13008 ref nil cons cons 114 ref 13010 ref nil cons 13016 def cons nil cons cons nil cons cons 13017 def 127 ref subst 13018 def 13017 remove 347 ref subst 13019 def 4351 remove 12362 ref appTerm 13020 def betaConv nil 4986 remove 68 ref 13020 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 4365 remove 41 ref 12362 ref nil cons cons nil cons 13021 def cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 12988 ref appTerm 12987 ref 498 ref appTerm 13022 def appTerm nil cons cons 12962 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref nil 99 ref 12994 remove cons nil cons nil cons cons 106 ref subst 12988 remove assume eqMp 13023 def appThm 13022 ref refl appThm nil 99 ref 13022 ref nil cons 13024 def cons nil cons nil cons cons 13025 def 2033 ref subst trans appThm 5614 ref refl 13026 def appThm sym nil 67 ref 13024 ref cons 12962 ref cons nil cons cons 13027 def 86 ref subst 13027 remove 151 ref subst 12949 ref 12362 ref appTerm 13028 def betaConv nil 67 ref 12956 remove cons 68 ref 13028 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 12949 remove nil cons cons 13021 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 75 ref 13022 ref appTerm 39 ref 1134 ref 75 ref 12367 remove 2439 ref appTerm appTerm 1261 ref appTerm absTerm appTerm appTerm appTerm 12987 remove 30 ref appTerm 13029 def appTerm nil cons cons 12962 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 544 ref 13025 remove 106 ref subst 13022 remove assume eqMp appThm 40 ref 1134 ref 544 ref 2834 ref 12986 remove assume 13030 def appThm 2881 ref appThm appThm 1262 remove appThm absThm appThm appThm nil 99 ref 39 ref 1134 ref 75 ref 2770 remove appTerm 13031 def 1261 remove appTerm absTerm 13032 def appTerm 13033 def nil cons 13034 def cons nil cons nil cons cons 562 ref subst trans appThm 13029 ref refl appThm appThm 13026 ref appThm sym 13032 ref 12370 ref appTerm betaConv sym 544 ref 3834 ref 13008 remove assume 13035 def appThm 3874 ref trans appThm 13036 def nil 99 ref 13016 remove cons nil cons nil cons cons 106 ref subst 13010 ref assume eqMp 13037 def appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 13032 remove nil cons cons 41 ref 12370 ref nil cons cons nil cons 13038 def cons nil cons cons 594 ref subst proveHyp nil 67 ref 13034 remove cons 13039 def 68 ref 69 ref 13029 ref appTerm 5614 ref appTerm 13040 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 13029 ref nil cons 13041 def cons 12962 ref cons nil cons cons 13042 def 86 ref subst 13042 remove 151 ref subst 5613 ref 12362 ref appTerm betaConv sym 544 ref 3834 remove 13030 remove appThm 3874 remove trans appThm 13043 def 544 ref 13023 ref appThm nil 99 ref 13041 ref cons nil cons nil cons cons 106 ref subst 13029 ref assume eqMp appThm 941 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 5640 ref 13021 ref cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 13041 ref cons 114 ref 12959 ref cons nil cons 13044 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 75 ref 13033 ref appTerm 13040 remove appTerm nil cons cons 68 ref 69 ref 69 ref 13033 remove appTerm 13029 remove appTerm appTerm 5614 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 267 ref 12959 remove cons 13045 def 68 ref 13041 remove cons 13039 remove nil cons cons cons nil cons cons 12765 ref subst eqMp eqMp eqMp eqMp nil 112 ref 13024 remove cons 13044 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 13011 remove cons 13044 ref cons nil cons cons 127 ref subst 13046 def deductAntisym eqMp eqMp eqMp nil 112 ref 13003 remove cons 13044 ref cons nil cons cons 127 ref subst 13047 def deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 12971 ref 45 ref appTerm appTerm 5614 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 12972 remove appTerm 5614 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst 13048 def proveHyp 309 ref 144 ref 12971 remove nil cons cons 13044 ref cons nil cons cons 929 ref subst 13049 def eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12989 remove cons 13044 ref cons nil cons cons 127 ref subst 13050 def deductAntisym eqMp eqMp eqMp nil 112 ref 12982 remove cons 13044 ref cons nil cons cons 127 ref subst 13051 def deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 12968 ref 45 ref appTerm appTerm 5614 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 12969 remove appTerm 5614 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst 13052 def proveHyp 309 ref 144 ref 12968 remove nil cons cons 13044 ref cons nil cons cons 929 ref subst 13053 def eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 5626 remove cons 13044 ref cons nil cons cons 127 ref subst 13054 def deductAntisym eqMp eqMp eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 12954 ref cons 9648 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 12948 remove nil cons 13055 def cons 9612 remove cons nil cons cons 13056 def 86 ref subst 13056 remove 151 ref subst nil 112 ref 12947 remove nil cons 13057 def cons 4363 remove cons nil cons cons 13058 def 127 ref subst 13058 remove 347 ref subst 9614 remove 795 ref 12958 remove 12960 remove 12961 remove 12964 remove 12965 remove 12975 remove 12976 remove 12977 remove 12980 remove 12361 remove 12981 remove 12984 remove 12985 remove 12991 remove 12992 remove 12993 remove 12996 remove 12997 remove 12998 remove 13001 remove 12369 remove 13002 remove 13005 remove 13006 remove 13013 remove 13014 remove 13015 remove 13018 remove 13019 remove 4347 remove 12370 ref appTerm 13059 def betaConv nil 4374 remove 68 ref 13059 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 4375 remove 13038 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 13010 remove appTerm 13009 ref 498 ref appTerm 13060 def appTerm nil cons cons 12962 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 13037 ref appThm 13060 ref refl appThm nil 99 ref 13060 ref nil cons 13061 def cons nil cons nil cons cons 13062 def 2033 ref subst trans appThm 13026 ref appThm sym nil 67 ref 13061 ref cons 12962 ref cons nil cons cons 13063 def 86 ref subst 13063 remove 151 ref subst 12946 ref 12370 ref appTerm 13064 def betaConv nil 67 ref 13057 remove cons 68 ref 13064 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 12946 remove nil cons cons 13038 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 69 ref 75 ref 13060 ref appTerm 39 ref 1134 ref 75 ref 13007 remove 2439 remove appTerm appTerm 1154 ref appTerm absTerm appTerm appTerm appTerm 13009 remove 28 ref appTerm 13065 def appTerm nil cons cons 12962 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 544 ref 13062 remove 106 ref subst 13060 remove assume eqMp appThm 40 ref 1134 ref 544 ref 2834 ref 13035 remove appThm 2881 remove appThm appThm 1471 remove appThm absThm appThm appThm nil 99 ref 39 ref 1134 ref 13031 remove 1154 remove appTerm absTerm 13066 def appTerm 13067 def nil cons 13068 def cons nil cons nil cons cons 562 ref subst trans appThm 13065 ref refl appThm appThm 13026 remove appThm sym 13066 ref 12362 remove appTerm betaConv sym 13043 remove 13023 remove appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 144 ref 13066 remove nil cons cons 13021 remove cons nil cons cons 594 ref subst proveHyp nil 67 ref 13068 remove cons 13069 def 68 ref 69 ref 13065 ref appTerm 5614 ref appTerm 13070 def nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 13065 ref nil cons 13071 def cons 12962 remove cons nil cons cons 13072 def 86 ref subst 13072 remove 151 ref subst 5613 remove 12370 remove appTerm betaConv sym 13036 remove 544 ref nil 99 ref 13071 ref cons nil cons nil cons cons 106 ref subst 13065 ref assume eqMp appThm 13037 remove appThm 941 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp 309 ref 5640 remove 13038 remove cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 13071 ref cons 13044 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 75 ref 13067 ref appTerm 13070 remove appTerm nil cons cons 68 ref 69 ref 69 ref 13067 remove appTerm 13065 remove appTerm appTerm 5614 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 13045 remove 68 ref 13071 remove cons 13069 remove nil cons cons cons nil cons cons 12765 remove subst eqMp eqMp eqMp eqMp nil 112 ref 13061 remove cons 13044 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp proveHyp proveHyp eqMp 13046 remove deductAntisym eqMp eqMp eqMp 13047 remove deductAntisym eqMp eqMp absThm eqMp 13048 remove proveHyp 13049 remove eqMp eqMp proveHyp proveHyp eqMp 13050 remove deductAntisym eqMp eqMp eqMp 13051 remove deductAntisym eqMp eqMp absThm eqMp 13052 remove proveHyp 13053 remove eqMp eqMp proveHyp proveHyp eqMp 13054 remove deductAntisym eqMp eqMp eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 13055 remove cons 13073 def 9648 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 13073 remove 114 ref 12954 remove cons 261 ref 9611 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 12952 remove cons 9648 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 13074 def nil 67 ref 1422 ref 12936 ref appTerm 13075 def nil cons 13076 def cons 13077 def 68 ref 288 ref 12927 ref appTerm nil cons 13078 def cons nil cons cons nil cons cons 13079 def 136 ref subst proveHyp 13079 ref 86 ref subst 13079 remove 151 ref subst nil 317 ref 12927 remove nil cons cons 13080 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 12926 remove nil cons 13081 def cons nil cons nil cons cons 106 ref subst nil 1453 ref 12924 remove nil cons cons 13082 def nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 12923 remove nil cons 13083 def cons nil cons nil cons cons 106 ref subst nil 317 ref 12921 remove nil cons cons 13084 def nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 12920 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12918 remove nil cons 13085 def cons 13086 def 68 ref 9649 ref nil cons 13087 def cons nil cons 13088 def cons nil cons cons 13089 def 86 ref subst 13089 ref 151 ref subst nil 13077 ref 13088 ref cons nil cons cons 13090 def 136 ref subst nil 13086 remove 68 ref 69 ref 13075 ref appTerm 9649 ref appTerm 13091 def nil cons 13092 def cons nil cons 13093 def cons nil cons cons 136 ref subst nil 317 ref 494 ref 69 ref 12917 ref 498 ref appTerm 13094 def appTerm 13091 ref appTerm 13095 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 13095 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13094 ref nil cons 13096 def cons 13093 ref cons nil cons cons 13097 def 86 ref subst 13097 remove 151 ref subst 13094 ref betaConv 13094 remove assume eqMp nil 67 ref 12916 remove nil cons 13098 def cons 13099 def 13093 remove cons nil cons cons 13100 def 136 ref subst proveHyp 13100 ref 86 ref subst 13100 remove 151 ref subst 13090 ref 86 ref subst 13090 remove 151 ref subst nil 13099 remove 13088 ref cons nil cons cons 136 ref subst 12930 remove 498 ref appTerm 13101 def betaConv 12932 remove 30 ref appTerm 13102 def betaConv 12934 remove 28 ref appTerm 13103 def betaConv 12936 remove 1406 ref appTerm 13104 def betaConv nil 13077 remove 68 ref 13104 remove nil cons cons nil cons cons nil cons cons 136 ref subst 1452 ref 12937 remove 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12938 remove cons 68 ref 13103 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 12939 remove 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12940 remove cons 68 ref 13102 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 12941 remove 361 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12942 remove cons 68 ref 13101 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 12943 remove 4039 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 112 ref 13076 remove cons 13105 def 114 ref 13087 ref cons nil cons 13106 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 13098 remove cons 114 ref 13092 remove cons nil cons 13107 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13096 remove cons 13107 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 12917 ref 1822 ref appTerm appTerm 13091 ref appTerm absTerm appTerm nil cons cons 68 ref 12919 remove 13091 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 12917 ref nil cons cons 13108 def 13107 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 112 ref 13085 remove cons 13106 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 13105 remove 114 ref 13078 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 13078 remove cons 68 ref 12928 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 13080 remove 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 13081 remove cons 68 ref 12925 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 13082 remove 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 13083 remove cons 68 ref 12922 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 13084 remove 361 ref cons nil cons cons 161 ref subst eqMp eqMp 13109 def subst eqMp nil 67 ref 12915 remove cons 68 ref 1433 ref 12856 ref appTerm 12853 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp 5600 remove refl 544 ref 35 ref nil 12835 remove 68 ref 23 ref 12817 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 112 ref 12817 remove nil cons cons nil cons nil cons cons 1095 ref subst eqMp appThm 400 ref trans appThm 75 ref 288 ref 11 ref 12813 remove 4310 ref appTerm 13110 def absTerm 13111 def appTerm 13112 def appTerm 13113 def refl 292 ref 11 ref nil 99 ref 12814 remove nil cons cons nil cons nil cons cons 106 ref subst 12910 remove eqMp absThm appThm 526 remove trans appThm nil 99 ref 13112 remove nil cons cons nil cons nil cons cons 13114 def 1362 ref subst trans appThm 13114 remove 562 ref subst trans sym nil 317 ref 13111 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 13110 remove nil cons cons nil cons nil cons cons 106 ref subst nil 12873 remove 68 ref 4322 remove cons nil cons 13115 def cons nil cons cons 13116 def 86 ref subst 13116 remove 151 ref subst nil 12845 remove 1669 ref cons nil cons cons 1670 remove subst 1718 remove 12899 remove appThm 1721 remove trans trans sym 105 ref eqMp nil 67 ref 12820 remove nil cons cons 13115 remove cons nil cons cons 136 ref subst proveHyp 12914 remove eqMp eqMp nil 12911 remove 4434 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp nil 67 ref 75 ref 12818 remove appTerm 13113 remove 12816 remove appTerm appTerm nil cons cons 68 ref 1433 ref 12855 remove appTerm 12852 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil 2603 ref 12842 remove cons nil cons nil cons cons 12783 remove subst eqMp appThm eqMp eqMp 819 ref 820 ref 12854 ref nil cons cons 821 ref 12856 remove nil cons cons nil cons cons nil cons cons 594 ref subst proveHyp nil 67 ref 2909 ref 12854 remove appTerm nil cons cons 68 ref 12850 remove 12853 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil "z" 731 ref var 12853 remove nil cons cons 821 ref 12849 remove nil cons cons nil cons cons nil cons cons 1599 ref 11195 remove subst subst eqMp eqMp eqMp nil 112 ref 12838 remove cons 114 ref 12840 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 12834 remove cons 114 ref 12836 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 12830 remove cons 114 ref 12832 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 506 ref 12827 remove appTerm nil cons cons 68 ref 12828 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 12829 remove 511 remove 12555 ref nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp eqMp nil 67 ref 12808 ref nil cons 13117 def cons 68 ref 12807 remove nil cons 13118 def cons nil cons cons nil cons cons 13119 def 86 ref subst 13119 remove 151 ref subst 23 ref "_10795" 483 remove var 13120 def 69 ref 288 ref 11 ref 69 ref 1679 ref 1652 remove 13120 remove varTerm appTerm 13121 def appTerm appTerm 4310 ref appTerm absTerm appTerm appTerm 1433 ref 1407 ref 485 remove 13121 ref appTerm appTerm appTerm 3052 ref 2901 ref 13121 remove appTerm appTerm appTerm appTerm absTerm 13122 def 12555 remove appTerm 13123 def appTerm refl 13122 ref 486 remove appTerm betaConv appThm 33 ref 13123 remove betaConv appThm 69 ref 288 ref 11 ref 69 ref 1679 ref 1755 ref appTerm appTerm 4310 ref appTerm absTerm appTerm appTerm 1433 ref 1407 remove 1756 remove appTerm appTerm 3052 ref 2901 remove 1755 remove appTerm appTerm appTerm appTerm refl appThm trans 13122 remove refl 12808 ref assume appThm eqMp sym 329 ref 292 ref 11 ref 329 ref nil 1669 remove nil cons cons 3515 remove subst appThm 4431 remove appThm absThm appThm appThm 2755 ref 9914 remove 1754 ref appThm appThm 9079 ref nil 12846 remove nil cons cons 2917 remove 2892 remove subst subst appThm 5758 remove 897 ref 1754 remove subst subst trans appThm nil 9796 remove nil cons cons 1606 remove subst trans appThm nil 99 ref 288 ref 11 ref 69 ref 1677 remove appTerm 4310 remove appTerm absTerm appTerm nil cons cons nil cons nil cons cons 709 remove subst trans sym 105 ref eqMp eqMp eqMp nil 112 ref 13117 ref cons 13124 def 114 ref 13118 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 12808 remove appTerm 13125 def betaConv 1384 ref nil 1385 ref 68 ref 13125 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 166 ref 13117 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 13124 remove 114 ref 12809 remove nil cons cons 261 ref 13118 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp eqMp nil 112 ref 12801 remove cons 114 ref 12799 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp proveHyp proveHyp proveHyp eqMp nil 112 ref 12787 remove cons 13126 def 12766 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 112 ref 12785 ref cons 13127 def 12784 remove cons nil cons cons 127 ref subst deductAntisym eqMp 1381 ref 12767 remove appTerm 13128 def betaConv 1384 ref nil 1385 ref 68 ref 13128 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 1386 ref 166 ref 12785 remove cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 13127 remove 114 ref 12769 remove cons 261 ref 12631 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp 13129 def nil 67 ref 1422 ref 12623 ref appTerm 13130 def nil cons 13131 def cons 13132 def 68 ref 1422 ref 12614 ref appTerm nil cons 13133 def cons nil cons cons nil cons cons 13134 def 136 ref subst proveHyp 13134 ref 86 ref subst 13134 remove 151 ref subst nil 1453 ref 12614 remove nil cons cons 13135 def nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 12613 remove nil cons 13136 def cons nil cons nil cons cons 106 ref subst nil 510 ref 12611 remove nil cons cons 13137 def nil cons nil cons cons 1695 ref subst 2603 remove nil 99 ref 12610 remove nil cons cons nil cons nil cons cons 106 ref subst 12608 ref 86 ref subst 12608 remove 151 ref subst nil 13132 ref 12576 remove cons nil cons cons 13138 def 136 ref subst nil 12607 remove 68 ref 69 ref 13130 ref appTerm 12567 remove appTerm 13139 def nil cons 13140 def cons nil cons 13141 def cons nil cons cons 136 ref subst nil 317 ref 4 ref 69 ref 12596 ref appTerm 13139 ref appTerm 13142 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 13142 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 12596 ref nil cons 13143 def cons 13141 ref cons nil cons cons 13144 def 86 ref subst 13144 remove 151 ref subst 12597 remove 12596 remove assume eqMp nil 67 ref 12594 ref nil cons cons 13141 ref cons nil cons cons 136 ref subst proveHyp nil 317 ref 494 ref 69 ref 12593 ref 498 ref appTerm 13145 def appTerm 13139 ref appTerm 13146 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 494 ref nil 99 ref 13146 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13145 ref nil cons 13147 def cons 13141 ref cons nil cons cons 13148 def 86 ref subst 13148 remove 151 ref subst 13145 ref betaConv 13145 remove assume eqMp nil 12788 remove 13141 remove cons nil cons cons 13149 def 136 ref subst proveHyp 13149 ref 86 ref subst 13149 remove 151 ref subst 13138 ref 86 ref subst 13138 remove 151 ref subst 12789 remove 136 ref subst 12617 remove 498 ref appTerm 13150 def betaConv 12619 remove 28 ref appTerm 13151 def betaConv 12621 remove 2604 remove appTerm 13152 def betaConv 12623 remove 1406 ref appTerm 13153 def betaConv nil 13132 remove 68 ref 13153 remove nil cons cons nil cons cons nil cons cons 136 ref subst 1452 ref 12624 remove 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12625 remove cons 68 ref 13152 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 ref 12626 remove 12782 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12627 remove cons 68 ref 13151 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 12628 remove 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 12629 remove cons 68 ref 13150 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 12630 remove 4039 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 112 ref 13131 remove cons 13154 def 12766 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 13126 remove 114 ref 13140 remove cons nil cons 13155 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13147 remove cons 13155 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 12593 remove 1822 ref appTerm appTerm 13139 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 12594 remove appTerm 13139 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 12603 remove 13155 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 13143 remove cons 13155 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 12595 remove 1822 ref appTerm appTerm 13139 ref appTerm absTerm appTerm nil cons cons 68 ref 12609 remove 13139 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 12604 remove 13155 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 112 ref 12606 remove cons 12766 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 13154 remove 114 ref 13133 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp nil 67 ref 13133 remove cons 68 ref 12615 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 13135 remove 1455 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 13136 remove cons 68 ref 12612 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 509 remove 13137 remove 12782 remove cons nil cons cons 161 ref subst eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 12574 remove cons 12766 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 1422 ref 12573 remove appTerm thm 53 ref 18 ref 18 ref 18 ref 1 ref 18 ref 721 ref 4533 remove cons opType nil cons cons opType 13156 def 20 ref cons opType 13157 def 20 ref cons opType constTerm 13158 def refl 13159 def "p" 13156 ref var 13160 def 53 ref 18 ref 18 ref 18 ref 1 ref 18 ref 721 ref 10435 remove cons opType nil cons cons opType 13161 def 20 ref cons opType 13162 def 20 ref cons opType constTerm 13163 def refl 13164 def "f" 13161 ref var 13165 def 53 ref 18 ref 10143 ref 20 ref cons opType constTerm 13166 def refl 13167 def "q" 10142 ref var 13168 def 33 ref 10145 ref "z" 10099 ref var 13169 def 329 ref nil "p" 10142 ref var 13170 def "v" 10099 ref var 13171 def 39 ref "w" 1 ref var 13172 def 794 ref 872 ref 8613 ref 4527 ref 75 ref 10402 ref 13171 ref varTerm appTerm 13173 def 13165 ref varTerm 13174 def 13172 ref varTerm 13175 def appTerm 13176 def 910 ref appTerm 13177 def 10129 ref appTerm 13178 def appTerm appTerm 13160 ref varTerm 13179 def 13175 ref appTerm 13180 def 910 ref appTerm 13181 def 10129 ref appTerm 13182 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13183 def nil cons cons 10619 ref 13169 ref varTerm 13184 def nil cons cons nil cons 13185 def cons nil cons cons 10442 ref 449 ref subst 13186 def subst 13183 ref 13184 ref appTerm betaConv trans 13187 def appThm 13168 ref varTerm 13188 def 13184 ref appTerm 13189 def refl 13190 def appThm absThm appThm appThm 54 ref 13172 ref 757 ref 872 ref 4524 ref 4527 ref 69 ref 13182 ref appTerm 13188 ref 13178 ref appTerm 13191 def appTerm 13192 def absTerm 13193 def appTerm 13194 def absTerm 13195 def appTerm 13196 def absTerm 13197 def appTerm 13198 def refl appThm absThm appThm absThm appThm absThm appThm sym nil "P" 13157 remove var 13199 def 13160 ref 13163 ref 13165 ref 13166 ref 13168 ref 23 ref 10144 ref 13169 ref 69 ref 39 ref 13172 ref 794 ref 872 ref 8613 ref 4527 ref 75 ref 10402 ref 13184 ref appTerm 13178 ref appTerm 13200 def appTerm 13182 ref appTerm 13201 def absTerm 13202 def appTerm 13203 def absTerm 13204 def appTerm 13205 def absTerm 13206 def appTerm 13207 def appTerm 13208 def 13189 ref appTerm 13209 def absTerm 13210 def appTerm 13211 def appTerm 13198 ref appTerm 13212 def absTerm 13213 def appTerm 13214 def absTerm 13215 def appTerm 13216 def absTerm nil cons cons nil cons nil cons cons "A" 13156 remove nil cons cons nil cons 218 ref cons 326 ref subst 13217 def subst 13160 ref nil 99 ref 13216 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 13162 remove var 13218 def 13215 remove nil cons cons nil cons nil cons cons "A" 13161 remove nil cons cons nil cons 218 ref cons 326 ref subst 13219 def subst 13165 ref nil 99 ref 13214 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 10143 ref var 13220 def 13213 remove nil cons cons nil cons nil cons cons "A" 10401 remove cons nil cons 218 ref cons 326 ref subst 13221 def subst 13168 ref nil 99 ref 13212 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13211 ref nil cons 13222 def cons 13223 def 68 ref 13198 ref nil cons 13224 def cons nil cons cons nil cons cons 13225 def 348 ref subst 13225 ref 86 ref subst 13225 remove 151 ref subst nil 144 ref 13197 ref nil cons cons 13226 def nil cons nil cons cons 326 ref subst 13172 ref nil 99 ref 13196 remove nil cons 13227 def cons nil cons nil cons cons 106 ref subst nil 871 ref 13195 ref nil cons cons 13228 def nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 13194 remove nil cons 13229 def cons nil cons nil cons cons 106 ref subst nil 4565 ref 13193 ref nil cons cons 13230 def nil cons nil cons cons 4566 ref subst 4527 ref nil 99 ref 13192 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13182 ref nil cons 13231 def cons 68 ref 13191 ref nil cons 13232 def cons nil cons 13233 def cons nil cons cons 13234 def 86 ref subst 13234 ref 151 ref subst "w'" 1 ref var 13235 def 794 ref 2785 ref 8613 ref "y'" 4499 ref var 13236 def 75 ref 10402 ref 13178 ref appTerm 13237 def 13174 remove 13235 remove varTerm 13238 def appTerm 2786 ref appTerm 13236 ref varTerm 13239 def appTerm appTerm appTerm 13179 ref 13238 remove appTerm 2786 ref appTerm 13239 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13240 def 13175 ref appTerm betaConv sym 2785 remove 8613 ref 13236 ref 75 ref 13237 ref 13176 remove 2786 ref appTerm 13239 ref appTerm appTerm appTerm 13180 remove 2786 remove appTerm 13239 ref appTerm appTerm absTerm appTerm absTerm 13241 def 910 ref appTerm betaConv sym 13236 remove 75 ref 13237 remove 13177 remove 13239 ref appTerm appTerm appTerm 13181 remove 13239 remove appTerm appTerm absTerm 13242 def 10129 ref appTerm betaConv sym 544 ref nil 10619 ref 13178 ref nil cons 13243 def cons nil cons 13244 def nil cons cons 10442 ref 224 ref subst 13245 def subst appThm nil 99 ref 13231 ref cons nil cons nil cons cons 106 ref subst 13182 ref assume eqMp 13246 def appThm 941 ref trans sym 105 ref eqMp eqMp 4519 ref 4565 ref 13242 remove nil cons cons 10390 ref cons nil cons cons 594 ref subst proveHyp eqMp 870 ref 871 ref 13241 remove nil cons cons 3115 ref cons nil cons cons 594 ref subst proveHyp eqMp 309 ref 144 ref 13240 ref nil cons cons 41 ref 13175 ref nil cons cons nil cons 13247 def cons nil cons cons 594 ref subst proveHyp 13248 def nil 67 ref 39 ref 13240 remove appTerm 13249 def nil cons 13250 def cons 13233 remove cons nil cons cons 136 ref subst proveHyp nil 13169 ref 13243 remove cons nil cons nil cons cons 13210 ref 13184 ref appTerm 13251 def betaConv nil 13223 remove 68 ref 13251 remove nil cons cons nil cons cons nil cons cons 136 ref subst 10441 ref 10440 ref 13210 remove nil cons cons 13252 def 13185 remove cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 112 ref 13231 ref cons 114 ref 13232 ref cons nil cons cons nil cons cons 13253 def 127 ref subst 13254 def deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 112 ref 13222 ref cons 114 ref 13224 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 13211 ref appTerm 13198 ref appTerm nil cons cons 68 ref 69 ref 13198 ref appTerm 13211 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 13224 ref cons 13255 def 68 ref 13222 ref cons nil cons cons nil cons cons 13256 def 86 ref subst 13256 remove 151 ref subst nil 13252 remove nil cons nil cons cons 10443 ref subst 13169 ref nil 99 ref 13209 remove nil cons 13257 def cons nil cons nil cons cons 106 ref subst nil 144 ref 13172 ref 69 ref 13206 ref 13175 ref appTerm 13258 def appTerm 13259 def 13189 ref appTerm 13260 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 13172 ref nil 99 ref 13260 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13258 ref nil cons 13261 def cons 13262 def 68 ref 13189 ref nil cons 13263 def cons nil cons 13264 def cons nil cons cons 13265 def 86 ref subst 13265 remove 151 ref subst 13258 ref betaConv 13258 remove assume eqMp 13266 def nil 67 ref 13205 ref nil cons cons 13267 def 13264 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 872 ref 69 ref 13204 ref 910 ref appTerm 13268 def appTerm 13269 def 13189 ref appTerm 13270 def absTerm 13271 def nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 13270 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13268 ref nil cons 13272 def cons 13273 def 13264 ref cons nil cons cons 13274 def 86 ref subst 13274 remove 151 ref subst 13268 ref betaConv 13268 remove assume eqMp 13275 def nil 67 ref 13203 ref nil cons cons 13276 def 13264 ref cons nil cons cons 136 ref subst proveHyp nil 4565 ref 4527 ref 69 ref 13202 ref 10129 ref appTerm 13277 def appTerm 13278 def 13189 ref appTerm 13279 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 4527 ref nil 99 ref 13279 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13277 ref nil cons 13280 def cons 13281 def 13264 ref cons nil cons cons 13282 def 86 ref subst 13282 remove 151 ref subst 13277 ref betaConv 13277 remove assume eqMp 13283 def nil 67 ref 13201 remove nil cons 13284 def cons 13285 def 13264 remove cons nil cons cons 13286 def 136 ref subst proveHyp 13286 ref 86 ref subst 13286 remove 151 ref subst nil 112 ref 13200 ref nil cons cons 114 ref 13231 remove cons nil cons cons nil cons cons 13287 def 127 ref subst 13288 def 13287 remove 347 ref subst 13289 def 23 ref "_10693" 10099 ref var 13290 def 13188 remove 13290 remove varTerm appTerm absTerm 13291 def 13184 ref appTerm 13292 def appTerm refl 13291 ref 13178 ref appTerm betaConv appThm 33 ref 13292 remove betaConv appThm 13191 ref refl appThm trans 13291 remove refl 13200 remove assume appThm eqMp sym 13293 def 13234 remove 136 ref subst 13193 remove 10129 ref appTerm 13294 def betaConv 13195 remove 910 ref appTerm 13295 def betaConv 13197 remove 13175 ref appTerm 13296 def betaConv nil 13255 remove 68 ref 13296 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 13226 remove 13247 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 13227 remove cons 68 ref 13295 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 13228 remove 3115 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 13229 remove cons 68 ref 13294 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 13230 remove 10390 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 13284 remove cons 13297 def 114 ref 13263 ref cons nil cons 13298 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13280 remove cons 13299 def 13298 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4524 ref 4526 ref 69 ref 13202 ref 4528 ref appTerm appTerm 13300 def 13189 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13203 remove appTerm 13301 def 13189 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 4565 ref 13202 remove nil cons cons 13302 def 13298 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 13272 remove cons 13303 def 13298 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 13271 remove appTerm nil cons cons 68 ref 69 ref 13205 remove appTerm 13304 def 13189 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 13204 remove nil cons cons 13305 def 13298 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 13261 remove cons 13306 def 13298 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 13206 ref 45 ref appTerm appTerm 13307 def 13189 ref appTerm absTerm appTerm nil cons cons 68 ref 13257 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 13206 remove nil cons cons 13308 def 13298 ref cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp eqMp nil 112 ref 13224 remove cons 114 ref 13222 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 13158 ref 13160 ref 13163 ref 13165 ref 13166 ref 13168 ref 23 ref 10144 ref 13169 ref 69 ref 42 ref 18 ref 10099 ref 18 ref 10111 ref 20 ref cons opType 13309 def nil cons 13310 def cons opType constTerm 13311 def 13184 ref appTerm 423 ref 18 ref 10142 remove 10113 ref cons opType constTerm 13312 def 13183 remove appTerm appTerm 13313 def appTerm 13189 ref appTerm absTerm appTerm appTerm 13198 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm 13159 remove 13160 ref 13164 remove 13165 ref 13167 remove 13168 ref 33 ref 36 ref 10143 remove constTerm 13314 def refl 13169 ref 544 ref 13187 remove appThm 13190 remove appThm absThm appThm appThm 39 ref 13172 ref 794 ref 872 ref 8613 ref 4527 ref 75 ref 13182 remove appTerm 13191 ref appTerm 13315 def absTerm 13316 def appTerm 13317 def absTerm 13318 def appTerm 13319 def absTerm 13320 def appTerm 13321 def refl appThm absThm appThm absThm appThm absThm appThm sym nil 13199 ref 13160 ref 13163 ref 13165 ref 13166 ref 13168 ref 23 ref 13314 ref 13169 ref 75 ref 13207 ref appTerm 13189 ref appTerm 13322 def absTerm 13323 def appTerm 13324 def appTerm 13321 ref appTerm 13325 def absTerm 13326 def appTerm 13327 def absTerm 13328 def appTerm 13329 def absTerm nil cons cons nil cons nil cons cons 13217 ref subst 13160 ref nil 99 ref 13329 remove nil cons cons nil cons nil cons cons 106 ref subst nil 13218 remove 13328 remove nil cons cons nil cons nil cons cons 13219 remove subst 13165 ref nil 99 ref 13327 remove nil cons cons nil cons nil cons cons 106 ref subst nil 13220 remove 13326 remove nil cons cons nil cons nil cons cons 13221 remove subst 13168 ref nil 99 ref 13325 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13324 ref nil cons 13330 def cons 68 ref 13321 ref nil cons 13331 def cons nil cons 13332 def cons nil cons cons 348 ref subst nil 10440 ref 13169 ref 69 ref 13323 ref 13184 remove appTerm 13333 def appTerm 13321 ref appTerm 13334 def absTerm nil cons cons nil cons nil cons cons 10443 ref subst 13169 ref nil 99 ref 13334 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13333 ref nil cons 13335 def cons 13332 ref cons nil cons cons 13336 def 86 ref subst 13336 remove 151 ref subst 13333 ref betaConv 13333 remove assume eqMp nil 67 ref 13322 remove nil cons 13337 def cons 13332 ref cons nil cons cons 13338 def 136 ref subst proveHyp 13338 ref 86 ref subst 13338 remove 151 ref subst nil 112 ref 13207 remove nil cons 13339 def cons 13298 remove cons nil cons cons 13340 def 127 ref subst 13340 remove 347 ref subst nil 67 ref 13339 remove cons 13332 ref cons nil cons cons 136 ref subst nil 144 ref 13172 ref 13259 remove 13321 ref appTerm 13341 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 13172 ref nil 99 ref 13341 remove nil cons cons nil cons nil cons cons 106 ref subst nil 13262 remove 13332 ref cons nil cons cons 13342 def 86 ref subst 13342 remove 151 ref subst 13266 remove nil 13267 remove 13332 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 872 ref 13269 remove 13321 ref appTerm 13343 def absTerm 13344 def nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 13343 remove nil cons cons nil cons nil cons cons 106 ref subst nil 13273 remove 13332 ref cons nil cons cons 13345 def 86 ref subst 13345 remove 151 ref subst 13275 remove nil 13276 remove 13332 ref cons nil cons cons 136 ref subst proveHyp nil 4565 ref 4527 ref 13278 remove 13321 ref appTerm 13346 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 4527 ref nil 99 ref 13346 remove nil cons cons nil cons nil cons cons 106 ref subst nil 13281 remove 13332 ref cons nil cons cons 13347 def 86 ref subst 13347 remove 151 ref subst 13283 remove nil 13285 remove 13332 remove cons nil cons cons 13348 def 136 ref subst proveHyp 13348 ref 86 ref subst 13348 remove 151 ref subst 13288 remove 13289 remove 13320 ref 13175 remove appTerm 13349 def betaConv 13350 def sym 13318 ref 910 ref appTerm 13351 def betaConv 13352 def sym 13316 ref 10129 remove appTerm 13353 def betaConv 13354 def sym 544 ref 13246 remove appThm 13293 remove nil 99 ref 13263 remove cons nil cons nil cons cons 106 ref subst 13189 ref assume eqMp trans appThm 941 ref trans sym 105 ref eqMp eqMp 4519 ref 4565 ref 13316 ref nil cons cons 13355 def 10390 remove cons nil cons cons 594 ref subst proveHyp eqMp 870 ref 871 ref 13318 remove nil cons cons 13356 def 3115 remove cons nil cons cons 594 ref subst proveHyp eqMp 309 ref 144 ref 13320 ref nil cons cons 13357 def 13247 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 13297 remove 114 ref 13331 remove cons nil cons 13358 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 13299 remove 13358 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4524 ref 4526 ref 13300 remove 13321 ref appTerm absTerm appTerm nil cons cons 68 ref 13301 remove 13321 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 13302 remove 13358 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 13303 remove 13358 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 13344 remove appTerm nil cons cons 68 ref 13304 remove 13321 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 13305 remove 13358 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 13306 remove 13358 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 13307 remove 13321 ref appTerm absTerm appTerm nil cons cons 68 ref 13208 remove 13321 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 13308 remove 13358 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 13337 remove cons 13358 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13335 remove cons 13358 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 10144 ref 10619 ref 69 ref 13323 ref 10620 ref appTerm appTerm 13321 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13324 ref appTerm 13321 ref appTerm nil cons 13359 def cons nil cons cons nil cons cons 136 ref subst proveHyp 10441 ref 10440 ref 13323 ref nil cons cons 13360 def 13358 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 13359 remove cons 68 ref 69 ref 13321 ref appTerm 13324 ref appTerm nil cons cons nil cons 13361 def cons nil cons cons 151 ref subst proveHyp nil 144 ref 13172 ref 69 ref 13349 ref appTerm 13324 ref appTerm 13362 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 13172 remove nil 99 ref 13362 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13349 ref nil cons 13363 def cons 68 ref 13330 ref cons nil cons 13364 def cons nil cons cons 13365 def 86 ref subst 13365 remove 151 ref subst 13350 remove 13349 remove assume eqMp nil 67 ref 13319 ref nil cons cons 13364 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 872 ref 69 ref 13351 ref appTerm 13324 ref appTerm 13366 def absTerm 13367 def nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 13366 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13351 ref nil cons 13368 def cons 13364 ref cons nil cons cons 13369 def 86 ref subst 13369 remove 151 ref subst 13352 remove 13351 remove assume eqMp nil 67 ref 13317 ref nil cons cons 13364 ref cons nil cons cons 136 ref subst proveHyp nil 4565 ref 4527 ref 69 ref 13353 ref appTerm 13324 ref appTerm 13370 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 4527 remove nil 99 ref 13370 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13353 ref nil cons 13371 def cons 13364 ref cons nil cons cons 13372 def 86 ref subst 13372 remove 151 ref subst 13354 remove 13353 remove assume eqMp nil 67 ref 13315 remove nil cons 13373 def cons 13364 remove cons nil cons cons 13374 def 136 ref subst proveHyp 13374 ref 86 ref subst 13374 remove 151 ref subst 13254 remove 13253 remove 347 ref subst 13323 remove 13178 remove appTerm betaConv sym 75 ref 13249 remove appTerm refl nil 99 ref 13232 remove cons nil cons nil cons cons 106 ref subst 13191 remove assume eqMp appThm nil 99 ref 13250 remove cons nil cons nil cons cons 1362 ref subst trans sym 13248 remove eqMp eqMp 10441 ref 13360 remove 13244 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 13373 remove cons 114 ref 13330 remove cons nil cons 13375 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13371 remove cons 13375 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4524 ref 4526 ref 69 ref 13316 remove 4528 ref appTerm appTerm 13324 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13317 remove appTerm 13324 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 13355 remove 13375 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 13368 remove cons 13375 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 13367 remove appTerm nil cons cons 68 ref 69 ref 13319 remove appTerm 13324 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 13356 remove 13375 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 13363 remove cons 13375 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 13320 remove 45 ref appTerm appTerm 13324 remove appTerm absTerm appTerm nil cons cons 13361 remove cons nil cons cons 136 ref subst proveHyp 309 ref 13357 remove 13375 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 13158 ref 13160 ref 13163 remove 13165 remove 13166 remove 13168 remove 23 ref 13314 ref 13169 remove 75 ref 13313 remove appTerm 13189 remove appTerm absTerm appTerm appTerm 13321 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 13199 ref 13160 ref 53 ref 18 ref 18 ref 18 ref 1 ref 18 ref 721 ref 18 ref 4499 ref 10113 ref cons opType nil cons cons opType nil cons cons opType 13376 def 20 ref cons opType 13377 def 20 ref cons opType constTerm 13378 def "f" 13376 ref var 13379 def 17 ref 18 ref 10111 ref 13310 remove cons opType constTerm 13380 def 482 remove 18 ref 0 ref 10113 ref opType 13381 def 10113 ref cons opType 13382 def constTerm 423 ref 18 ref 13309 ref 13381 ref nil cons cons opType constTerm "v" 10111 ref var 13383 def 39 ref 41 ref 794 ref 795 ref 8613 ref 8614 ref 75 ref 13380 ref 13383 remove varTerm appTerm 13379 ref varTerm 13384 def 45 ref appTerm 13385 def 799 ref appTerm 8616 ref appTerm 13386 def appTerm appTerm 13179 ref 45 ref appTerm 13387 def 799 ref appTerm 8616 ref appTerm 13388 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm absTerm 13389 def appTerm 13390 def appTerm 13391 def appTerm 13312 ref 13171 ref 13314 ref "a" 10099 ref var 13392 def 75 ref 13173 remove 13392 ref varTerm 13393 def appTerm appTerm 13394 def 54 ref 41 ref 757 ref 795 ref 4524 ref 8614 ref 69 ref 13388 ref appTerm 13395 def 13311 ref 13393 ref appTerm 13396 def 13386 ref appTerm 13397 def appTerm absTerm 13398 def appTerm 13399 def absTerm 13400 def appTerm 13401 def absTerm 13402 def appTerm 13403 def appTerm absTerm appTerm absTerm 13404 def appTerm 13405 def appTerm 13406 def absTerm 13407 def appTerm 13408 def absTerm 13409 def nil cons cons nil cons nil cons cons 13217 ref subst 13160 ref nil 99 ref 13408 remove nil cons cons nil cons nil cons cons 106 ref subst nil "P" 13377 remove var 13410 def 13407 remove nil cons cons nil cons nil cons cons "A" 13376 remove nil cons cons nil cons 218 ref cons 326 ref subst 13411 def subst 13379 ref nil 99 ref 13406 remove nil cons cons nil cons nil cons cons 106 ref subst nil 10393 ref 13405 remove nil cons cons "s" 10111 ref var 13412 def 13391 remove nil cons cons nil cons cons nil cons cons 10442 ref 381 ref subst 13413 def subst sym 10145 ref 10619 ref 33 ref nil "s" 13381 remove var 13390 ref nil cons cons nil cons nil cons cons 13414 def 10442 ref 516 remove subst subst 53 ref 18 ref 13309 ref 20 ref cons opType 13415 def constTerm 13416 def refl 10393 ref 329 ref nil "p" 13309 ref var 13389 ref nil cons cons "x" 10111 remove var 13417 def 10393 ref varTerm 13418 def nil cons cons nil cons 13419 def cons nil cons cons "A" 10113 remove cons nil cons 13420 def 218 ref cons 13421 def 449 remove subst subst 13389 remove 13418 ref appTerm betaConv trans 13422 def appThm 13311 ref 10620 ref appTerm 13423 def 13418 ref appTerm 13424 def refl 13425 def appThm absThm appThm trans appThm nil 13170 ref 13404 ref nil cons cons nil cons nil cons cons 13186 ref subst 13404 remove 10620 ref appTerm betaConv trans appThm absThm appThm sym nil 10440 ref 10619 ref 23 ref 13416 ref 10393 ref 69 ref 39 ref 41 ref 794 ref 795 ref 8613 ref 8614 ref 75 ref 13380 ref 13418 ref appTerm 13426 def 13386 ref appTerm appTerm 13388 ref appTerm absTerm appTerm absTerm appTerm absTerm 13427 def appTerm 13428 def appTerm 13429 def 13424 ref appTerm 13430 def absTerm 13431 def appTerm 13432 def appTerm 13314 ref 13392 ref 75 ref 10402 remove 10620 ref appTerm 13393 ref appTerm 13433 def appTerm 13434 def 13403 ref appTerm 13435 def absTerm 13436 def appTerm 13437 def appTerm 13438 def absTerm nil cons cons nil cons nil cons cons 10443 ref subst 10619 ref nil 99 ref 13438 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13432 ref nil cons 13439 def cons 13440 def 68 ref 13437 ref nil cons 13441 def cons nil cons cons nil cons cons 13442 def 348 ref subst 13442 ref 86 ref subst 13442 remove 151 ref subst 13436 ref 10620 ref appTerm betaConv sym 544 ref 13245 remove appThm 13443 def 54 ref 41 ref 757 ref 795 ref 4524 ref 8614 ref 13395 remove 13423 ref 13386 remove appTerm 13444 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 13445 def refl appThm nil 99 ref 13445 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym nil 144 ref 1134 ref 757 ref 795 ref 4524 ref 8614 ref 69 ref 13179 remove 1137 ref appTerm 13446 def 799 ref appTerm 13447 def 8616 ref appTerm 13448 def appTerm 13423 ref 13384 remove 1137 ref appTerm 13449 def 799 ref appTerm 13450 def 8616 ref appTerm 13451 def appTerm 13452 def appTerm 13453 def absTerm 13454 def appTerm 13455 def absTerm 13456 def appTerm 13457 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 13457 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 13456 remove nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 13455 remove nil cons cons nil cons nil cons cons 106 ref subst nil 4565 ref 13454 remove nil cons cons nil cons nil cons cons 4566 ref subst 8614 ref nil 99 ref 13453 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13448 ref nil cons 13458 def cons 13459 def 68 ref 13452 ref nil cons 13460 def cons nil cons 13461 def cons nil cons cons 13462 def 86 ref subst 13462 remove 151 ref subst 41 ref 794 ref 3829 ref 8613 ref "z'" 4499 remove var 13463 def 75 ref 13380 ref 13451 ref appTerm 13464 def 13385 remove 3830 ref appTerm 13463 ref varTerm 13465 def appTerm appTerm appTerm 13387 remove 3830 ref appTerm 13465 ref appTerm appTerm absTerm appTerm absTerm appTerm absTerm 13466 def 1137 ref appTerm betaConv sym 3829 remove 8613 ref 13463 ref 75 ref 13464 ref 13449 remove 3830 ref appTerm 13465 ref appTerm appTerm appTerm 13446 remove 3830 remove appTerm 13465 ref appTerm appTerm absTerm appTerm absTerm 13467 def 799 ref appTerm betaConv sym 13463 remove 75 ref 13464 remove 13450 remove 13465 ref appTerm appTerm appTerm 13447 remove 13465 remove appTerm appTerm absTerm 13468 def 8616 ref appTerm betaConv sym 544 ref nil 13417 ref 13451 ref nil cons 13469 def cons nil cons 13470 def nil cons cons 13421 ref 224 remove subst subst appThm nil 99 ref 13458 ref cons nil cons nil cons cons 106 ref subst 13448 ref assume eqMp 13471 def appThm 941 ref trans sym 105 ref eqMp eqMp 4519 ref 4565 ref 13468 remove nil cons cons 8651 ref cons nil cons cons 594 ref subst proveHyp eqMp 870 ref 871 ref 13467 remove nil cons cons 1462 ref cons nil cons cons 594 ref subst proveHyp eqMp 309 ref 144 ref 13466 ref nil cons cons 1139 ref cons nil cons cons 594 ref subst proveHyp 13472 def nil 67 ref 39 ref 13466 remove appTerm 13473 def nil cons 13474 def cons 13461 remove cons nil cons cons 136 ref subst proveHyp nil 10393 ref 13469 remove cons nil cons nil cons cons 13431 ref 13418 ref appTerm 13475 def betaConv nil 13440 remove 68 ref 13475 remove nil cons cons nil cons cons nil cons cons 136 ref subst 13420 ref "P" 13309 remove var 13476 def 13431 remove nil cons cons 13477 def 13419 remove cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp nil 112 ref 13458 ref cons 13478 def 114 ref 13460 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp 10441 ref 10440 ref 13436 ref nil cons cons 13479 def 10619 ref 10620 ref nil cons cons nil cons 13480 def cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 13439 ref cons 114 ref 13441 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 13432 ref appTerm 13437 ref appTerm nil cons cons 68 ref 69 ref 13437 remove appTerm 13432 ref appTerm nil cons cons nil cons 13481 def cons nil cons cons 151 ref subst proveHyp nil 10440 ref 13392 ref 69 ref 13436 ref 13393 ref appTerm 13482 def appTerm 13432 ref appTerm 13483 def absTerm nil cons cons nil cons nil cons cons 10443 ref subst 13392 ref nil 99 ref 13483 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13482 ref nil cons 13484 def cons 68 ref 13439 ref cons nil cons 13485 def cons nil cons cons 13486 def 86 ref subst 13486 remove 151 ref subst 13482 ref betaConv 13482 remove assume eqMp nil 67 ref 13435 remove nil cons 13487 def cons 13485 remove cons nil cons cons 13488 def 136 ref subst proveHyp 13488 ref 86 ref subst 13488 remove 151 ref subst nil 112 ref 13433 ref nil cons cons 13489 def 114 ref 13403 remove nil cons 13490 def cons nil cons cons nil cons cons 13491 def 127 ref subst 13491 remove 347 ref subst nil 13477 remove nil cons nil cons cons 13421 remove 326 ref subst 13492 def subst 10393 ref nil 99 ref 13430 remove nil cons 13493 def cons nil cons nil cons cons 106 ref subst nil 144 ref 1134 ref 69 ref 13427 ref 1137 ref appTerm 13494 def appTerm 13495 def 13424 ref appTerm 13496 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 13496 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13494 ref nil cons 13497 def cons 13498 def 68 ref 13424 ref nil cons 13499 def cons nil cons 13500 def cons nil cons cons 13501 def 86 ref subst 13501 remove 151 ref subst 13494 ref betaConv 13494 remove assume eqMp 13502 def nil 67 ref 794 ref 795 ref 8613 ref 8614 ref 75 ref 13426 remove 13451 ref appTerm 13503 def appTerm 13448 ref appTerm 13504 def absTerm 13505 def appTerm 13506 def absTerm 13507 def appTerm 13508 def nil cons cons 13509 def 13500 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 69 ref 13507 ref 799 ref appTerm 13510 def appTerm 13511 def 13424 ref appTerm 13512 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 13512 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13510 ref nil cons 13513 def cons 13514 def 13500 ref cons nil cons cons 13515 def 86 ref subst 13515 remove 151 ref subst 13510 ref betaConv 13510 remove assume eqMp 13516 def nil 67 ref 13506 ref nil cons cons 13517 def 13500 ref cons nil cons cons 136 ref subst proveHyp nil 4565 ref 8614 ref 69 ref 13505 ref 8616 ref appTerm 13518 def appTerm 13519 def 13424 ref appTerm 13520 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 8614 ref nil 99 ref 13520 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13518 ref nil cons 13521 def cons 13522 def 13500 ref cons nil cons cons 13523 def 86 ref subst 13523 remove 151 ref subst 13518 ref betaConv 13518 remove assume eqMp 13524 def nil 67 ref 13504 remove nil cons 13525 def cons 13526 def 13500 remove cons nil cons cons 13527 def 136 ref subst proveHyp 13527 ref 86 ref subst 13527 remove 151 ref subst nil 112 ref 13503 ref nil cons cons 114 ref 13458 remove cons nil cons cons nil cons cons 13528 def 127 ref subst 13529 def 13528 remove 347 ref subst 13530 def 13311 remove refl 13433 remove assume appThm 13531 def 13503 remove assume 13532 def appThm sym nil 13459 remove 68 ref 13396 remove 13451 ref appTerm 13533 def nil cons 13534 def cons nil cons cons nil cons cons 136 ref subst 1269 remove 13398 ref 8616 ref appTerm 13535 def betaConv 13400 ref 799 ref appTerm 13536 def betaConv 13402 ref 45 ref appTerm 13537 def betaConv nil 67 ref 13490 remove cons 68 ref 13537 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 13402 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 13401 remove nil cons cons 68 ref 13536 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 13400 remove nil cons cons 1462 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 13399 remove nil cons cons 68 ref 13535 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 4565 ref 13398 remove nil cons cons 8651 ref cons nil cons cons 161 ref subst eqMp eqMp subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 13525 remove cons 13538 def 114 ref 13499 ref cons nil cons 13539 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13521 remove cons 13540 def 13539 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4524 ref 4526 ref 69 ref 13505 ref 4528 ref appTerm appTerm 13541 def 13424 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13506 remove appTerm 13542 def 13424 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 4565 ref 13505 remove nil cons cons 13543 def 13539 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 13513 remove cons 13544 def 13539 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 13507 ref 910 ref appTerm appTerm 13545 def 13424 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13508 remove appTerm 13546 def 13424 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 13507 remove nil cons cons 13547 def 13539 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 13497 remove cons 13548 def 13539 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 13427 ref 45 ref appTerm appTerm 13549 def 13424 ref appTerm absTerm appTerm nil cons cons 68 ref 13493 remove cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 13427 remove nil cons cons 13550 def 13539 ref cons nil cons cons 929 ref subst eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 13487 remove cons 114 ref 13439 remove cons nil cons 13551 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13484 remove cons 13551 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 10144 ref "x'" 10099 remove var 13552 def 69 ref 13436 remove 13552 ref varTerm 13553 def appTerm appTerm 13432 remove appTerm absTerm appTerm nil cons cons 13481 remove cons nil cons cons 136 ref subst proveHyp 10441 ref 13479 remove 13551 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 13158 ref 13409 remove appTerm thm nil 13199 remove 13160 ref 13378 remove 13379 ref 13380 remove 529 remove 13382 remove constTerm 13390 remove appTerm 13554 def appTerm 13312 remove 13171 remove 13314 ref 13392 ref 13394 remove 39 ref 41 ref 794 ref 795 ref 8613 ref 8614 ref 75 ref 13388 remove appTerm 13555 def 13397 remove appTerm absTerm appTerm absTerm appTerm absTerm 13556 def appTerm 13557 def appTerm absTerm appTerm absTerm 13558 def appTerm 13559 def appTerm 13560 def absTerm 13561 def appTerm 13562 def absTerm 13563 def nil cons cons nil cons nil cons cons 13217 remove subst 13160 remove nil 99 ref 13562 remove nil cons cons nil cons nil cons cons 106 ref subst nil 13410 remove 13561 remove nil cons cons nil cons nil cons cons 13411 remove subst 13379 remove nil 99 ref 13560 remove nil cons cons nil cons nil cons cons 106 ref subst nil 10393 ref 13559 remove nil cons cons 13412 remove 13554 remove nil cons cons nil cons cons nil cons cons 13413 remove subst sym 10145 remove 10619 ref 33 ref 13414 remove 10442 remove 542 remove subst subst 36 ref 13415 remove constTerm 13564 def refl 10393 ref 544 ref 13422 remove appThm 13425 remove appThm absThm appThm trans appThm nil 13170 remove 13558 ref nil cons cons nil cons nil cons cons 13186 remove subst 13558 remove 10620 ref appTerm betaConv trans appThm absThm appThm sym nil 10440 ref 10619 ref 23 ref 13564 remove 10393 ref 75 ref 13428 ref appTerm 13424 ref appTerm 13565 def absTerm 13566 def appTerm 13567 def appTerm 13314 remove 13392 ref 13434 remove 13557 ref appTerm 13568 def absTerm 13569 def appTerm 13570 def appTerm 13571 def absTerm nil cons cons nil cons nil cons cons 10443 ref subst 10619 remove nil 99 ref 13571 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13567 ref nil cons 13572 def cons 68 ref 13570 ref nil cons 13573 def cons nil cons 13574 def cons nil cons cons 348 ref subst nil 13476 ref 10393 ref 69 ref 13566 ref 13418 remove appTerm 13575 def appTerm 13570 ref appTerm 13576 def absTerm nil cons cons nil cons nil cons cons 13492 remove subst 10393 remove nil 99 ref 13576 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13575 ref nil cons 13577 def cons 13574 ref cons nil cons cons 13578 def 86 ref subst 13578 remove 151 ref subst 13575 ref betaConv 13575 remove assume eqMp nil 67 ref 13565 remove nil cons 13579 def cons 13574 ref cons nil cons cons 13580 def 136 ref subst proveHyp 13580 ref 86 ref subst 13580 remove 151 ref subst nil 112 ref 13428 remove nil cons 13581 def cons 13539 remove cons nil cons cons 13582 def 127 ref subst 13582 remove 347 ref subst nil 67 ref 13581 remove cons 13574 ref cons nil cons cons 136 ref subst nil 144 ref 1134 ref 13495 remove 13570 ref appTerm 13583 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 ref nil 99 ref 13583 remove nil cons cons nil cons nil cons cons 106 ref subst nil 13498 remove 13574 ref cons nil cons cons 13584 def 86 ref subst 13584 remove 151 ref subst 13502 remove nil 13509 remove 13574 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 13511 remove 13570 ref appTerm 13585 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 13585 remove nil cons cons nil cons nil cons cons 106 ref subst nil 13514 remove 13574 ref cons nil cons cons 13586 def 86 ref subst 13586 remove 151 ref subst 13516 remove nil 13517 remove 13574 ref cons nil cons cons 136 ref subst proveHyp nil 4565 ref 8614 ref 13519 remove 13570 ref appTerm 13587 def absTerm nil cons cons nil cons nil cons cons 4566 ref subst 8614 ref nil 99 ref 13587 remove nil cons cons nil cons nil cons cons 106 ref subst nil 13522 remove 13574 ref cons nil cons cons 13588 def 86 ref subst 13588 remove 151 ref subst 13524 remove nil 13526 remove 13574 remove cons nil cons cons 13589 def 136 ref subst proveHyp 13589 ref 86 ref subst 13589 remove 151 ref subst 13529 remove 13530 remove 13569 ref 10620 remove appTerm betaConv sym 13443 remove 39 ref 41 ref 794 ref 795 ref 8613 ref 8614 ref 13555 remove 13444 remove appTerm absTerm appTerm absTerm appTerm absTerm 13590 def appTerm 13591 def refl appThm nil 99 ref 13591 remove nil cons cons nil cons nil cons cons 562 ref subst trans sym 13590 ref 1137 ref appTerm betaConv sym 795 ref 8613 ref 8614 ref 75 ref 13448 remove appTerm 13592 def 13452 remove appTerm absTerm 13593 def appTerm absTerm 13594 def 799 ref appTerm betaConv sym 13593 ref 8616 ref appTerm betaConv sym 544 ref 13471 remove appThm 13423 remove refl 13532 remove sym appThm nil 99 ref 13499 remove cons nil cons nil cons cons 106 ref subst 13424 remove assume eqMp trans appThm 941 ref trans sym 105 ref eqMp eqMp 4519 ref 4565 ref 13593 remove nil cons cons 8651 remove cons nil cons cons 594 ref subst proveHyp eqMp 870 ref 871 ref 13594 remove nil cons cons 1462 ref cons nil cons cons 594 ref subst proveHyp eqMp 309 ref 144 ref 13590 remove nil cons cons 1139 remove cons nil cons cons 594 ref subst proveHyp eqMp eqMp 10441 ref 10440 ref 13569 ref nil cons cons 13595 def 13480 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 13538 remove 114 ref 13573 remove cons nil cons 13596 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 13540 remove 13596 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4524 ref 4526 ref 13541 remove 13570 ref appTerm absTerm appTerm nil cons cons 68 ref 13542 remove 13570 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 ref 13543 remove 13596 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 13544 remove 13596 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 13545 remove 13570 ref appTerm absTerm appTerm nil cons cons 68 ref 13546 remove 13570 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 13547 remove 13596 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 13548 remove 13596 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 13549 remove 13570 ref appTerm absTerm appTerm nil cons cons 68 ref 13429 remove 13570 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 13550 remove 13596 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 13579 remove cons 13596 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13577 remove cons 13596 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 13416 remove 13417 ref 69 ref 13566 ref 13417 remove varTerm appTerm appTerm 13570 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13567 ref appTerm 13570 ref appTerm nil cons 13597 def cons nil cons cons nil cons cons 136 ref subst proveHyp 13420 ref 13476 remove 13566 ref nil cons cons 13598 def 13596 remove cons nil cons cons 929 ref subst eqMp nil 67 ref 13597 remove cons 68 ref 69 ref 13570 remove appTerm 13567 ref appTerm nil cons cons nil cons 13599 def cons nil cons cons 151 ref subst proveHyp nil 10440 remove 13392 ref 69 ref 13569 ref 13393 remove appTerm 13600 def appTerm 13567 ref appTerm 13601 def absTerm nil cons cons nil cons nil cons cons 10443 remove subst 13392 remove nil 99 ref 13601 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13600 ref nil cons 13602 def cons 68 ref 13572 ref cons nil cons 13603 def cons nil cons cons 13604 def 86 ref subst 13604 remove 151 ref subst 13600 ref betaConv 13600 remove assume eqMp nil 67 ref 13568 remove nil cons 13605 def cons 13603 ref cons nil cons cons 13606 def 136 ref subst proveHyp 13606 ref 86 ref subst 13606 remove 151 ref subst nil 13489 remove 114 ref 13557 ref nil cons 13607 def cons nil cons cons nil cons cons 13608 def 127 ref subst 13608 remove 347 ref subst nil 67 ref 13607 remove cons 13603 ref cons nil cons cons 136 ref subst nil 144 ref 1134 ref 69 ref 13556 ref 1137 remove appTerm 13609 def appTerm 13567 ref appTerm 13610 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 1134 remove nil 99 ref 13610 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13609 ref nil cons 13611 def cons 13603 ref cons nil cons cons 13612 def 86 ref subst 13612 remove 151 ref subst 13609 ref betaConv 13609 remove assume eqMp nil 67 ref 794 ref 795 ref 8613 remove 8614 ref 13592 remove 13533 ref appTerm 13613 def absTerm 13614 def appTerm 13615 def absTerm 13616 def appTerm 13617 def nil cons cons 13603 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 795 ref 69 ref 13616 ref 799 ref appTerm 13618 def appTerm 13567 ref appTerm 13619 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 13619 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13618 ref nil cons 13620 def cons 13603 ref cons nil cons cons 13621 def 86 ref subst 13621 remove 151 ref subst 13618 ref betaConv 13618 remove assume eqMp nil 67 ref 13615 ref nil cons cons 13603 ref cons nil cons cons 136 ref subst proveHyp nil 4565 ref 8614 ref 69 ref 13614 ref 8616 remove appTerm 13622 def appTerm 13567 ref appTerm 13623 def absTerm nil cons cons nil cons nil cons cons 4566 remove subst 8614 remove nil 99 ref 13623 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13622 ref nil cons 13624 def cons 13603 ref cons nil cons cons 13625 def 86 ref subst 13625 remove 151 ref subst 13622 ref betaConv 13622 remove assume eqMp nil 67 ref 13613 remove nil cons 13626 def cons 13603 remove cons nil cons cons 13627 def 136 ref subst proveHyp 13627 ref 86 ref subst 13627 remove 151 ref subst nil 13478 remove 114 ref 13534 ref cons nil cons cons nil cons cons 13628 def 127 ref subst 13628 remove 347 ref subst 13566 remove 13451 ref appTerm betaConv sym 75 ref 13473 remove appTerm refl 13531 remove 13451 remove refl appThm nil 99 ref 13534 remove cons nil cons nil cons cons 106 ref subst 13533 remove assume eqMp trans appThm nil 99 ref 13474 remove cons nil cons nil cons cons 1362 ref subst trans sym 13472 remove eqMp eqMp 13420 remove 13598 remove 13470 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp eqMp nil 112 ref 13626 remove cons 114 ref 13572 remove cons nil cons 13629 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13624 remove cons 13629 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 4524 remove 4526 remove 69 ref 13614 ref 4528 remove appTerm appTerm 13567 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13615 remove appTerm 13567 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 4519 remove 4565 remove 13614 remove nil cons cons 13629 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 13620 remove cons 13629 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 13616 ref 910 ref appTerm appTerm 13567 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13617 remove appTerm 13567 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 13616 remove nil cons cons 13629 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 13611 remove cons 13629 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 13556 ref 45 ref appTerm appTerm 13567 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13557 remove appTerm 13567 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 13556 remove nil cons cons 13629 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 13605 remove cons 13629 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13602 remove cons 13629 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 10144 remove 13552 remove 69 ref 13569 remove 13553 remove appTerm appTerm 13567 remove appTerm absTerm appTerm nil cons cons 13599 remove cons nil cons cons 136 ref subst proveHyp 10441 remove 13595 remove 13629 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 13158 remove 13563 remove appTerm thm nil 7986 ref 2962 ref 1422 ref 1403 ref 288 ref 4 ref 8056 remove 288 ref 11 ref 69 ref 8057 ref 10852 ref appTerm 13630 def appTerm 7982 ref appTerm absTerm 13631 def appTerm 13632 def appTerm 13633 def absTerm 13634 def appTerm 13635 def absTerm 13636 def appTerm 13637 def absTerm 13638 def nil cons cons nil cons nil cons cons 8002 ref subst 2962 ref nil 99 ref 13637 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 13636 remove nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 13635 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13634 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 13633 remove nil cons 13639 def cons nil cons nil cons cons 106 ref subst 33 ref 33 ref 35 ref 1522 ref 783 ref 8054 ref 789 ref appTerm betaConv 13640 def absThm appThm appThm appThm 2910 ref 783 ref 35 ref 13640 remove appThm absThm appThm appThm nil 2962 ref 8054 remove nil cons cons nil cons nil cons cons 9147 ref subst eqMp 2910 ref 783 ref nil 659 ref 8029 remove cons 661 ref 8053 remove nil cons cons nil cons cons nil cons cons 6178 ref subst absThm appThm 33 ref 2910 ref 783 ref 8099 remove refl 783 ref 34 ref 7980 ref appTerm absTerm 13641 def 789 ref appTerm betaConv appThm absThm appThm appThm 543 ref 11 ref 8057 ref refl 75 ref 10852 ref appTerm 13642 def refl 13641 ref 4446 ref appTerm betaConv appThm appThm absThm appThm appThm nil 2962 ref 13641 remove nil cons cons nil cons nil cons cons nil 67 ref 8101 ref nil cons 13643 def cons 68 ref 534 ref 11 ref 8057 ref 13642 ref 7982 ref appTerm 13644 def appTerm 13645 def absTerm 13646 def appTerm 13647 def nil cons 13648 def cons nil cons 13649 def cons nil cons cons 348 ref subst 329 ref 2910 ref 783 ref 544 ref 7974 remove 12551 remove subst appThm 7981 remove appThm absThm appThm appThm 13647 ref refl appThm sym nil 820 ref 783 ref 69 ref 783 ref 75 ref 534 ref 494 ref 7988 remove 12273 remove 7989 remove appTerm 13650 def appTerm 13651 def absTerm 13652 def appTerm 13653 def appTerm 7980 remove appTerm 13654 def absTerm 13655 def 789 ref appTerm 13656 def appTerm 13647 ref appTerm 13657 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 13657 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13656 ref nil cons 13658 def cons 13649 ref cons nil cons cons 13659 def 86 ref subst 13659 remove 151 ref subst 13656 ref betaConv 13656 remove assume eqMp nil 67 ref 13654 remove nil cons 13660 def cons 13649 ref cons nil cons cons 13661 def 136 ref subst proveHyp 13661 ref 86 ref subst 13661 remove 151 ref subst nil 112 ref 13653 ref nil cons 13662 def cons 8049 remove cons nil cons cons 13663 def 127 ref subst 13663 remove 347 ref subst nil 67 ref 13662 remove cons 13649 ref cons nil cons cons 136 ref subst nil 317 ref 494 ref 69 ref 13652 ref 498 ref appTerm 13664 def appTerm 13647 ref appTerm 13665 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 494 remove nil 99 ref 13665 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13664 ref nil cons 13666 def cons 13649 ref cons nil cons cons 13667 def 86 ref subst 13667 remove 151 ref subst 13664 ref betaConv 13664 remove assume eqMp nil 67 ref 13651 remove nil cons 13668 def cons 13649 remove cons nil cons cons 13669 def 136 ref subst proveHyp 13669 ref 86 ref subst 13669 remove 151 ref subst nil 8037 remove 114 ref 13650 remove nil cons cons nil cons cons nil cons cons 13670 def 127 ref subst 13670 remove 347 ref subst nil 9492 remove 8038 remove cons nil cons cons 13671 def 127 ref subst 13671 remove 347 ref subst 13646 ref 498 remove appTerm betaConv sym 8083 remove 544 ref 55 ref 41 ref 55 ref 296 remove 9253 remove 9357 remove eqMp absThm appThm 377 ref trans absThm appThm 377 ref trans appThm 8084 remove appThm 941 ref trans appThm 941 ref trans sym 105 ref eqMp eqMp 324 ref 317 ref 13646 ref nil cons cons 13672 def 4039 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 13668 remove cons 114 ref 13648 remove cons nil cons 13673 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13666 remove cons 13673 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 13652 ref 1822 ref appTerm appTerm 13647 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13653 remove appTerm 13647 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 13652 remove nil cons cons 13673 ref cons nil cons cons 929 ref subst eqMp eqMp proveHyp proveHyp eqMp nil 112 ref 13660 remove cons 13673 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13658 remove cons 13673 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 812 ref 821 ref 69 ref 13655 ref 4818 ref appTerm appTerm 13647 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2909 ref 13655 ref appTerm appTerm 13647 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 820 ref 13655 remove nil cons cons 13673 remove cons nil cons cons 929 ref subst eqMp eqMp nil 67 ref 69 ref 8101 ref appTerm 13647 ref appTerm nil cons cons 68 ref 69 ref 13647 ref appTerm 8101 ref appTerm nil cons cons nil cons 13674 def cons nil cons cons 151 ref subst proveHyp nil 317 ref 11 ref 69 ref 13646 ref 30 ref appTerm 13675 def appTerm 8101 ref appTerm 13676 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 13676 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13675 ref nil cons 13677 def cons 68 ref 13643 ref cons nil cons 13678 def cons nil cons cons 13679 def 86 ref subst 13679 remove 151 ref subst 13675 ref betaConv 13675 remove assume eqMp nil 67 ref 13645 remove nil cons 13680 def cons 13678 remove cons nil cons cons 13681 def 136 ref subst proveHyp 13681 ref 86 ref subst 13681 remove 151 ref subst nil 1064 remove 114 ref 13644 remove nil cons cons nil cons cons nil cons cons 13682 def 127 ref subst 13682 remove 347 ref subst nil 112 ref 10852 remove nil cons 13683 def cons 8018 remove cons nil cons cons 347 ref subst 8100 ref 4446 ref appTerm betaConv sym 75 ref 3050 remove 4446 remove appTerm 1408 remove appTerm 13684 def appTerm refl 8097 remove appThm nil 99 ref 13684 remove nil cons 13685 def cons nil cons nil cons cons 1362 ref subst trans sym nil 1071 remove 68 ref 13685 remove cons nil cons cons nil cons cons 136 ref subst 639 remove 9795 remove subst eqMp eqMp eqMp 819 ref 820 ref 8100 remove nil cons cons 8012 remove cons nil cons cons 594 ref subst proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 13680 remove cons 114 ref 13643 remove cons nil cons 13686 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13677 remove cons 13686 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 ref 69 ref 13646 remove 1822 ref appTerm appTerm 8101 remove appTerm absTerm appTerm nil cons cons 13674 remove cons nil cons cons 136 ref subst proveHyp 324 ref 13672 remove 13686 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp 13687 def subst eqMp trans trans appThm 33 ref 35 ref 292 ref 11 ref 13631 ref 30 ref appTerm betaConv 13688 def absThm appThm appThm appThm 543 ref 11 ref 35 ref 13688 remove appThm absThm appThm appThm nil 2930 ref 13631 remove nil cons cons nil cons nil cons cons 6271 remove subst eqMp 543 ref 11 ref nil 659 ref 8008 remove cons 661 ref 13630 remove nil cons cons nil cons cons nil cons cons 6178 ref subst nil 1272 ref 34 ref 7982 remove appTerm 13689 def nil cons cons 659 ref 13683 remove cons 661 ref 1059 remove cons nil cons cons cons nil cons cons 1977 ref subst trans absThm appThm trans appThm nil 166 ref 534 ref 11 ref 8057 remove 13642 remove 13689 remove appTerm appTerm absTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp nil 67 ref 23 ref 34 ref 8055 ref appTerm appTerm 34 ref 13632 ref appTerm appTerm nil cons cons 68 ref 13639 remove cons nil cons cons nil cons cons 136 ref subst proveHyp nil 163 remove 13632 remove nil cons cons 166 ref 8055 remove nil cons cons nil cons cons nil cons cons 9050 remove subst eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 7972 ref 13638 remove appTerm thm nil 7986 remove 2962 ref 1422 ref 1403 ref 288 ref 4 ref 8102 remove 13647 remove appTerm 13690 def absTerm 13691 def appTerm 13692 def absTerm 13693 def appTerm 13694 def absTerm 13695 def nil cons cons nil cons nil cons cons 8002 remove subst 2962 ref nil 99 ref 13694 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 13693 remove nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 13692 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13691 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 13690 remove nil cons cons nil cons nil cons cons 106 ref subst 13687 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 7972 remove 13695 remove appTerm thm nil 1453 ref 1403 ref 9494 remove absTerm 13696 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 9495 remove cons nil cons nil cons cons 106 ref subst 9493 remove eqMp absThm eqMp nil 1422 ref 13696 remove appTerm thm nil "P" 18 ref 18 ref 1 ref 2900 remove cons opType 13697 def 20 ref cons opType 13698 def var 13699 def "f" 13697 ref var 13700 def 288 ref 4 ref 1433 ref 3052 ref 4759 ref 4760 ref 39 ref 41 ref 75 ref 4762 ref 2899 ref 13700 ref varTerm 45 ref appTerm 13701 def appTerm 13702 def appTerm appTerm 49 ref appTerm absTerm appTerm absTerm appTerm appTerm 13703 def appTerm 2899 ref 4759 ref 4760 ref 36 ref 7312 remove constTerm 13704 def "g" 3062 ref var 13705 def 75 ref 4762 ref 3052 ref 4759 ref 4760 ref 39 ref 41 ref 75 ref 4762 ref 13705 ref varTerm 13706 def 45 ref appTerm 13707 def appTerm appTerm 49 ref appTerm absTerm appTerm absTerm appTerm 13708 def appTerm 13709 def appTerm appTerm 54 ref 41 ref 690 ref 6682 ref 13707 ref appTerm 13701 ref appTerm appTerm absTerm 13710 def appTerm 13711 def appTerm absTerm appTerm absTerm appTerm appTerm 13712 def appTerm 13713 def absTerm 13714 def appTerm 13715 def absTerm 13716 def nil cons cons nil cons nil cons cons "A" 13697 remove nil cons cons nil cons 218 ref cons 326 ref subst 13717 def subst 13700 ref nil 99 ref 13715 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13714 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 13713 remove nil cons cons nil cons nil cons cons 106 ref subst nil 783 ref 13712 ref nil cons cons 1548 ref 13703 ref nil cons cons nil cons cons nil cons cons 1551 ref subst sym nil 871 ref 759 ref 23 ref 1542 ref 13703 remove appTerm appTerm 1542 ref 13712 remove appTerm appTerm 13718 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 13718 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 1542 ref refl 13719 def 9079 ref 9055 ref refl 13720 def 4759 ref refl 13721 def 4760 ref 40 ref 41 ref 544 ref 4762 ref refl 13722 def 41 ref 13702 ref absTerm 13723 def 45 ref appTerm betaConv 13724 def appThm appThm 634 ref appThm absThm appThm absThm appThm appThm 3071 ref 13723 ref appTerm 28 ref appTerm refl appThm nil 3063 ref 13723 remove nil cons cons nil cons nil cons cons 13725 def 3076 ref 6058 ref 28 ref appTerm 13726 def betaConv 6060 ref 1406 ref appTerm 13727 def betaConv 6057 remove nil 67 ref 6061 remove nil cons cons 68 ref 13727 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 6060 remove nil cons cons 1455 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 6059 remove nil cons cons 68 ref 13726 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 6058 remove nil cons cons 359 ref cons nil cons cons 161 ref subst eqMp eqMp subst 13728 def subst eqMp appThm 13725 remove 3159 ref subst 1457 ref 1436 ref 826 ref 795 ref 1458 ref 55 ref 41 ref 705 ref 1431 ref 13724 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm trans trans appThm appThm 13719 ref 2755 ref 2899 ref refl 13729 def 13721 ref 4760 ref 13704 ref refl 13730 def 13705 ref 544 ref 13722 ref 13705 ref 13709 remove absTerm 13731 def 13706 ref appTerm betaConv 13732 def appThm appThm 13705 ref 13711 ref absTerm 13733 def 13706 ref appTerm betaConv 13734 def appThm absThm appThm absThm appThm appThm appThm 1457 ref 1436 ref 826 ref 4750 ref 4752 remove refl 13735 def 13730 ref 13705 ref 544 ref 13734 ref appThm 4753 ref refl 13736 def 13732 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil "f" 18 ref 3062 ref 817 remove cons opType var 13737 def 13731 remove nil cons cons "p" 7301 remove var 13738 def 13733 remove nil cons cons nil cons 13739 def cons nil cons cons 7308 remove 3061 remove cons 218 ref cons 13740 def 4849 remove subst subst eqMp 1457 ref 1436 ref 826 ref 4750 ref 13735 ref 13730 ref 13705 ref 75 ref 13711 ref appTerm 13741 def refl 13742 def 13736 ref 9079 ref nil 3063 ref 13706 ref nil cons cons nil cons nil cons cons 13743 def 13728 ref subst 13744 def appThm 13743 ref 3159 remove subst trans appThm appThm absThm appThm appThm absThm appThm absThm appThm trans appThm appThm sym 33 ref 33 ref 13719 ref 1457 ref 1436 ref 826 ref 795 ref 1458 ref 795 ref 54 ref 41 ref 690 ref 806 ref 13702 remove appTerm appTerm absTerm appTerm absTerm 13745 def 799 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 13745 ref 764 ref appTerm betaConv appThm nil 1461 ref 13745 remove nil cons cons 874 ref cons nil cons cons 1463 ref subst eqMp 55 ref 41 ref 705 ref nil 2907 remove 13701 ref nil cons cons 13746 def 874 ref cons nil cons cons 2908 remove subst appThm absThm appThm trans appThm 33 ref 13719 ref 1457 ref 1436 ref 826 ref 4750 ref 13735 ref 4750 ref 13704 ref 13705 ref 13741 ref 4753 ref 1435 ref 1436 ref 794 ref 795 ref 1440 ref 54 ref 41 ref 690 ref 806 ref 13707 ref appTerm 13747 def appTerm absTerm appTerm 13748 def appTerm absTerm appTerm absTerm appTerm appTerm appTerm absTerm appTerm absTerm 13749 def 4751 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 13749 ref 764 ref appTerm betaConv appThm nil 1461 ref 13749 remove nil cons cons 874 ref cons nil cons cons 1463 ref subst eqMp 13730 ref 13705 ref 13742 ref 33 ref 13719 remove 1457 ref 1436 ref 826 ref 795 ref 1458 ref 795 ref 13748 remove absTerm 13750 def 799 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 13750 ref 764 ref appTerm betaConv appThm nil 1461 ref 13750 remove nil cons cons 874 ref cons nil cons cons 1463 ref subst eqMp appThm absThm appThm trans appThm sym 33 ref 55 ref 41 ref 33 ref 705 ref 2910 ref 783 ref 783 ref 75 ref 6683 remove 13701 ref appTerm 13751 def appTerm 13752 def 1543 ref appTerm 13753 def absTerm 13754 def 789 ref appTerm betaConv 13755 def absThm appThm appThm appThm 2910 ref 783 ref 705 ref 13755 remove appThm absThm appThm appThm nil "q" 803 remove var 13754 remove nil cons cons 5121 remove cons nil cons cons 1599 ref 5692 remove subst subst eqMp absThm appThm 33 ref 55 ref 41 ref 2910 ref 783 ref 41 ref 783 ref 690 ref 13753 remove appTerm absTerm 13756 def absTerm 13757 def 45 ref appTerm betaConv 13758 def 3814 ref appThm 13756 ref 789 ref appTerm betaConv trans absThm appThm absThm appThm appThm 13730 ref 3063 ref 55 ref 41 ref 13758 remove 3065 ref refl appThm 13756 remove 3065 remove appTerm betaConv trans absThm appThm absThm appThm appThm nil "r" 18 ref 1 ref 804 remove cons opType var 13759 def 13757 remove nil cons cons nil cons nil cons cons 2915 ref 309 ref cons 218 ref cons 5712 remove subst subst eqMp trans appThm 13704 ref 13705 ref 13741 remove 54 ref 41 ref 690 ref 1542 ref 13707 ref appTerm appTerm absTerm appTerm appTerm absTerm appTerm refl appThm sym 13730 ref "f'" 3062 remove var 13760 def 23 ref 54 ref 41 ref 690 ref 75 ref 6682 ref 13760 remove varTerm 45 ref appTerm 13761 def appTerm 13701 ref appTerm 13762 def appTerm 1542 ref 13761 remove appTerm 13763 def appTerm 13764 def appTerm 13765 def absTerm appTerm appTerm refl 33 ref 544 ref 55 ref 41 ref 41 ref 690 ref 13762 ref appTerm 13766 def absTerm 13767 def 45 ref appTerm betaConv 13768 def absThm appThm appThm 55 ref 41 ref 41 ref 690 ref 13763 ref appTerm 13769 def absTerm 13770 def 45 ref appTerm betaConv 13771 def absThm appThm appThm appThm 55 ref 41 ref 544 ref 13768 remove appThm 13771 remove appThm absThm appThm appThm nil 56 ref 13767 remove nil cons cons 1568 ref 13770 remove nil cons cons nil cons cons nil cons cons 3224 ref subst eqMp appThm sym 55 ref 41 ref nil 2332 remove 68 ref 23 ref 13765 remove appTerm 75 ref 13766 remove appTerm 13769 remove appTerm appTerm nil cons 13772 def cons nil cons 13773 def cons nil cons cons 13774 def 86 ref subst 13774 remove 151 ref subst 23 ref "_10738" 19 ref var 13775 def 23 ref 69 ref 13775 remove varTerm appTerm 13776 def 13764 ref appTerm appTerm 75 ref 13776 ref 13762 ref appTerm appTerm 13776 remove 13763 ref appTerm appTerm appTerm absTerm 13777 def 49 ref appTerm 13778 def appTerm refl 13779 def 13777 ref 171 ref appTerm betaConv appThm 33 ref 13778 remove betaConv appThm 13780 def 23 ref 520 ref 13764 ref appTerm appTerm 75 ref 520 ref 13762 ref appTerm appTerm 520 remove 13763 ref appTerm appTerm appTerm refl appThm trans 13777 remove refl 13781 def 2345 remove appThm eqMp sym 33 ref nil 99 ref 13764 ref nil cons 13782 def cons nil cons nil cons cons 13783 def 524 ref subst appThm 544 ref nil 99 ref 13762 ref nil cons cons nil cons nil cons cons 13784 def 524 ref subst appThm nil 99 ref 13763 ref nil cons cons nil cons nil cons cons 13785 def 524 ref subst appThm 941 ref trans appThm 527 ref trans sym 105 ref eqMp eqMp eqMp nil 2346 remove 114 ref 13772 ref cons nil cons 13786 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 2350 remove 13773 remove cons nil cons cons 13787 def 86 ref subst 13787 remove 151 ref subst 13779 remove "_10736" 19 ref var 13788 def 23 ref 69 ref 13788 remove varTerm appTerm 13789 def 13764 ref appTerm appTerm 75 ref 13789 ref 13762 ref appTerm appTerm 13789 remove 13763 ref appTerm appTerm appTerm absTerm 91 ref appTerm betaConv appThm 13780 remove 23 ref 2029 ref 13764 remove appTerm appTerm 75 ref 2029 ref 13762 remove appTerm appTerm 2029 remove 13763 remove appTerm appTerm appTerm refl appThm trans 13781 remove 2356 remove appThm eqMp sym 33 ref 13783 remove 2033 ref subst appThm 544 ref 13784 remove 2033 ref subst appThm 13785 remove 2033 ref subst appThm appThm nil 166 ref 13782 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp eqMp nil 2360 ref 13786 remove cons nil cons cons 127 ref subst deductAntisym eqMp 2362 remove nil 2360 remove 2363 remove 261 ref 13772 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp absThm appThm eqMp absThm appThm eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 53 remove 18 ref 13698 remove 20 ref cons opType constTerm 13790 def 13716 remove appTerm thm nil 13699 remove 13700 ref 288 ref 4 ref 1433 remove 2899 ref 4759 ref 4760 ref 39 ref 41 ref 75 ref 4762 ref 3052 ref 13701 ref appTerm 13791 def appTerm appTerm 49 ref appTerm absTerm appTerm absTerm appTerm appTerm 13792 def appTerm 3052 ref 4759 remove 4760 ref 13704 remove 13705 ref 75 ref 4762 remove 2899 remove 13708 remove appTerm 13793 def appTerm appTerm 13711 ref appTerm absTerm appTerm absTerm appTerm appTerm 13794 def appTerm 13795 def absTerm 13796 def appTerm 13797 def absTerm 13798 def nil cons cons nil cons nil cons cons 13717 remove subst 13700 remove nil 99 ref 13797 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13796 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 13795 remove nil cons cons nil cons nil cons cons 106 ref subst nil 783 ref 13794 ref nil cons cons 1548 ref 13792 ref nil cons cons nil cons cons nil cons cons 1551 remove subst sym nil 871 ref 872 ref 23 ref 1552 ref 13792 remove appTerm appTerm 1552 ref 13794 remove appTerm appTerm 13799 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 872 ref nil 99 ref 13799 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 1627 ref 13729 ref 13720 remove 13721 ref 4760 ref 40 ref 41 ref 544 ref 13722 ref 41 ref 13791 ref absTerm 13800 def 45 ref appTerm betaConv 13801 def appThm appThm 634 ref appThm absThm appThm absThm appThm appThm 3071 remove 13800 ref appTerm 28 ref appTerm refl appThm nil 3063 remove 13800 remove nil cons cons nil cons nil cons cons 13802 def 13728 remove subst eqMp appThm 13802 remove 7971 ref subst 1457 ref 1436 ref 826 ref 795 ref 1458 ref 40 ref 41 ref 1357 ref 1431 remove 13801 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm trans trans appThm appThm 1627 ref 2755 remove 9079 ref 13721 remove 4760 remove 13730 ref 13705 ref 544 ref 13722 remove 13705 ref 13793 remove absTerm 13803 def 13706 ref appTerm betaConv 13804 def appThm appThm 13734 ref appThm absThm appThm absThm appThm appThm appThm 1457 ref 1436 ref 826 ref 4750 ref 13735 ref 7313 ref refl 13805 def 13705 ref 329 ref 13734 remove appThm 13736 ref 13804 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil 13737 remove 13803 remove nil cons cons 13739 remove cons nil cons cons 13740 remove 6377 remove subst subst eqMp 1457 ref 1436 ref 826 ref 4750 ref 13735 ref 13805 ref 13705 ref 69 ref 13711 ref appTerm 13806 def refl 13807 def 13736 remove 13729 remove 13744 remove appThm 13743 remove 7971 remove subst trans appThm appThm absThm appThm appThm absThm appThm absThm appThm trans appThm appThm sym 33 ref 33 ref 1627 ref 1457 ref 1436 ref 826 ref 795 ref 1458 ref 795 ref 39 ref 41 ref 621 ref 806 ref 13791 remove appTerm appTerm absTerm appTerm absTerm 13808 def 799 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 13808 ref 910 ref appTerm betaConv appThm nil 1461 ref 13808 remove nil cons cons nil cons nil cons cons 1463 ref subst eqMp 40 ref 41 ref 1357 ref nil 13746 remove nil cons nil cons cons 3075 ref subst appThm absThm appThm trans appThm 33 ref 1627 ref 1457 ref 1436 ref 826 ref 4750 ref 13735 remove 4750 ref 7313 ref 13705 ref 13806 ref 4753 ref 1435 remove 1436 ref 794 ref 795 ref 1440 remove 39 ref 41 ref 621 ref 13747 remove appTerm absTerm appTerm 13809 def appTerm absTerm appTerm absTerm appTerm appTerm appTerm absTerm appTerm absTerm 13810 def 4751 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 13810 ref 910 ref appTerm betaConv appThm nil 1461 ref 13810 remove nil cons cons nil cons nil cons cons 1463 ref subst eqMp 13805 ref 13705 ref 13807 remove 33 ref 1627 remove 1457 remove 1436 ref 826 ref 795 ref 1458 remove 795 ref 13809 remove absTerm 13811 def 799 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 13811 ref 910 ref appTerm betaConv appThm nil 1461 ref 13811 remove nil cons cons nil cons nil cons cons 1463 remove subst eqMp appThm absThm appThm trans appThm sym nil 68 ref 7313 ref 13705 ref 13806 remove 39 ref 41 ref 621 ref 1552 ref 13707 ref appTerm appTerm 13812 def absTerm 13813 def appTerm 13814 def appTerm absTerm 13815 def appTerm nil cons cons 67 ref 39 ref 41 ref 621 ref 812 ref 783 ref 69 ref 13751 ref appTerm 1553 remove appTerm absTerm 13816 def appTerm 13817 def appTerm 13818 def absTerm 13819 def appTerm nil cons cons nil cons cons nil cons cons nil 10453 remove 68 ref 23 ref 331 remove appTerm 10679 remove 10454 ref appTerm appTerm nil cons 13820 def cons nil cons 13821 def cons nil cons cons 13822 def 86 ref subst 13822 remove 151 ref subst 23 ref "_10752" 19 ref var 13823 def 23 ref 23 ref 13823 remove varTerm 13824 def appTerm 72 ref appTerm appTerm 23 ref 34 ref 13824 remove appTerm appTerm 10454 ref appTerm appTerm absTerm 13825 def 70 remove appTerm 13826 def appTerm refl 13827 def 13825 ref 171 ref appTerm betaConv appThm 33 ref 13826 remove betaConv appThm 13828 def 23 ref 10464 remove appTerm 398 remove 10454 ref appTerm appTerm refl appThm trans 13825 remove refl 13829 def 10466 remove appThm eqMp sym 33 ref 10467 remove appThm 401 remove 10503 ref appThm 10470 ref 242 ref subst trans appThm 10485 remove trans sym 105 ref eqMp eqMp eqMp nil 10473 remove 114 ref 13820 ref cons nil cons 13830 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 10477 remove 13821 remove cons nil cons cons 13831 def 86 ref subst 13831 remove 151 ref subst 13827 remove "_10750" 19 ref var 13832 def 23 ref 23 ref 13832 remove varTerm 13833 def appTerm 72 remove appTerm appTerm 23 ref 34 ref 13833 remove appTerm appTerm 10454 ref appTerm appTerm absTerm 91 remove appTerm betaConv appThm 13828 remove 23 ref 10481 remove appTerm 416 remove 10454 remove appTerm appTerm refl appThm trans 13829 remove 10482 remove appThm eqMp sym 33 ref 10483 remove appThm 418 remove 10503 remove appThm 10470 remove 204 remove subst 10468 remove trans trans appThm 10472 remove trans sym 105 ref eqMp eqMp eqMp nil 10486 ref 13830 remove cons nil cons cons 127 ref subst deductAntisym eqMp 10488 remove nil 10486 remove 10489 remove 261 ref 13820 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp subst sym 33 ref 33 ref 35 ref 40 ref 41 ref 13819 ref 45 ref appTerm betaConv 13834 def absThm appThm appThm appThm 55 ref 41 ref 35 ref 13834 remove appThm absThm appThm appThm nil 56 ref 13819 remove nil cons cons nil cons nil cons cons 162 ref subst eqMp appThm 33 ref 35 ref 13805 remove 13705 ref 13815 ref 13706 remove appTerm betaConv 13835 def absThm appThm appThm appThm 13730 ref 13705 ref 35 ref 13835 remove appThm absThm appThm appThm nil 13738 remove 13815 remove nil cons cons nil cons nil cons cons 7309 remove 2172 remove subst subst eqMp 13730 ref 13705 ref nil 659 ref 13814 remove nil cons cons 661 ref 13711 remove nil cons cons nil cons cons nil cons cons 6178 ref subst 13742 remove 33 ref 35 ref 40 ref 41 ref 13813 ref 45 ref appTerm betaConv 13836 def absThm appThm appThm appThm 55 ref 41 ref 35 ref 13836 remove appThm absThm appThm appThm nil 56 ref 13813 remove nil cons cons nil cons nil cons cons 162 remove subst eqMp appThm trans absThm appThm trans appThm sym 23 ref 54 ref 41 ref 34 ref 13818 remove appTerm 13837 def absTerm 13838 def appTerm appTerm refl 13730 ref 13705 ref 33 ref 544 ref 55 ref 41 ref 13710 ref 45 ref appTerm betaConv 13839 def absThm appThm appThm 55 ref 41 ref 41 ref 34 ref 13812 remove appTerm absTerm 13840 def 45 ref appTerm betaConv 13841 def absThm appThm appThm appThm 55 ref 41 ref 544 ref 13839 remove appThm 13841 remove appThm absThm appThm appThm nil 56 ref 13710 remove nil cons cons 1568 remove 13840 remove nil cons cons nil cons cons nil cons cons 3224 remove subst eqMp absThm appThm 33 ref 13730 remove 13705 remove 55 ref 41 ref 41 ref "_10754" 731 ref var 13842 def 75 ref 690 ref 6682 ref 13842 remove varTerm 13843 def appTerm 13701 ref appTerm appTerm appTerm 34 ref 621 ref 1552 ref 13843 remove appTerm appTerm appTerm appTerm absTerm 13844 def absTerm 13845 def 45 ref appTerm betaConv 13846 def 13707 ref refl appThm 13844 ref 13707 remove appTerm betaConv trans absThm appThm absThm appThm appThm 55 ref 41 ref 2910 ref 2912 ref 13846 remove 12851 ref refl appThm 13844 remove 12851 ref appTerm betaConv trans absThm appThm absThm appThm appThm nil 13759 remove 13845 remove nil cons cons nil cons nil cons cons 3076 remove 7599 remove subst subst eqMp trans appThm sym 55 ref nil "g" 37 ref var 41 ref 2909 ref 2912 ref 75 ref 690 ref 6682 ref 12851 ref appTerm 13701 remove appTerm 13847 def appTerm appTerm 34 ref 621 ref 1552 ref 12851 remove appTerm 13848 def appTerm appTerm appTerm absTerm appTerm 13849 def absTerm 13850 def nil cons cons "f" 37 ref var 13838 ref nil cons cons nil cons cons nil cons cons 10251 remove 10848 ref subst subst 55 ref 41 ref 33 ref 13838 remove 45 ref appTerm betaConv appThm 13850 remove 45 ref appTerm betaConv appThm absThm appThm trans sym nil 144 ref 41 ref 23 ref 13837 remove appTerm 13849 remove appTerm 13851 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 13851 remove nil cons 13852 def cons nil cons nil cons cons 106 ref subst nil 1941 ref 68 ref 13852 ref cons nil cons 13853 def cons nil cons cons 13854 def 86 ref subst 13854 remove 151 ref subst 33 ref 35 ref 1946 ref 13817 ref refl 13855 def appThm nil 99 ref 13817 remove nil cons cons nil cons nil cons cons 13856 def 549 ref subst trans appThm 400 ref trans appThm 2910 ref 2912 ref 544 ref 329 ref 1945 ref appThm 13847 ref refl 13857 def appThm nil 99 ref 13847 remove nil cons cons nil cons nil cons cons 13858 def 524 ref subst trans appThm 35 ref 1946 remove 13848 ref refl 13859 def appThm nil 99 ref 13848 remove nil cons cons nil cons nil cons cons 13860 def 549 remove subst trans appThm 400 ref trans appThm 941 ref trans absThm appThm 371 ref 6843 remove subst trans appThm 527 ref trans sym 105 ref eqMp eqMp nil 1950 ref 114 ref 13852 ref cons nil cons 13861 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 1015 ref 13853 remove cons nil cons cons 13862 def 86 ref subst 13862 remove 151 ref subst 33 ref 35 ref 1923 ref 13855 remove appThm 13856 remove 562 ref subst trans appThm 33 ref 35 ref 1522 ref 783 ref 13816 ref 789 ref appTerm betaConv 13863 def absThm appThm appThm appThm 2910 ref 783 ref 35 ref 13863 remove appThm absThm appThm appThm nil 2962 ref 13816 remove nil cons cons nil cons nil cons cons 9147 remove subst eqMp 2910 ref 783 ref nil 659 ref 1555 remove cons 661 remove 13751 remove nil cons cons nil cons cons nil cons cons 6178 remove subst absThm appThm trans trans appThm 2910 ref 2912 remove 544 ref 4076 remove 13857 remove appThm 13858 remove 2033 ref subst trans appThm 35 ref 1923 remove 13859 remove appThm 13860 remove 562 ref subst trans appThm appThm absThm appThm appThm nil 166 ref 2909 ref 783 ref 13752 remove 1598 remove appTerm absTerm appTerm nil cons cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp nil 1731 ref 13861 remove cons nil cons cons 127 ref subst deductAntisym eqMp 1388 remove nil 1731 ref 2727 remove 261 ref 13852 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp appThm eqMp eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 13790 remove 13798 remove appTerm thm nil 140 ref 56 ref 288 ref 4 ref 288 ref 11 ref 27 ref 425 ref 426 ref 39 ref 41 ref 428 ref 75 ref 6162 remove appTerm 58 ref appTerm 13864 def appTerm absTerm appTerm absTerm appTerm 13865 def appTerm 1118 remove 6026 ref appTerm 425 ref 426 ref 39 ref 41 ref 428 ref 8268 ref appTerm absTerm appTerm absTerm appTerm 13866 def appTerm 13867 def appTerm 13868 def absTerm 13869 def appTerm 13870 def absTerm 13871 def appTerm 13872 def absTerm 13873 def nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 13872 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13871 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 13870 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13869 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 13868 remove nil cons cons nil cons nil cons cons 106 ref subst nil 11 ref 13867 remove nil cons cons 4 ref 13865 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 13864 remove absTerm 13874 def 45 ref appTerm betaConv 13875 def appThm absThm appThm absThm appThm appThm appThm 13875 remove appThm nil 56 ref 13874 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 1961 remove 451 ref appThm trans appThm nil 11 ref 13866 ref nil cons cons 6029 remove cons nil cons cons 13876 def 1152 remove subst 544 ref 6035 ref appThm 13877 def 35 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 9890 ref appThm absThm appThm absThm appThm appThm appThm 9890 remove appThm nil 56 ref 9891 remove cons nil cons nil cons cons 465 ref subst eqMp 13878 def appThm appThm trans appThm absThm appThm trans sym nil 144 ref 41 ref 23 ref 4036 remove 58 ref appTerm 13879 def appTerm 75 ref 6025 ref appTerm 13880 def 34 ref 8268 ref appTerm 13881 def appTerm 13882 def appTerm 13883 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 13883 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13879 ref nil cons 13884 def cons 68 ref 13882 ref nil cons 13885 def cons nil cons cons nil cons cons 13886 def 348 ref subst 13886 ref 86 ref subst 13886 remove 151 ref subst nil 1876 remove 6047 ref cons nil cons cons 13887 def 127 ref subst 13888 def 1875 remove proveHyp 8187 ref proveHyp 13887 remove 347 ref subst eqMp nil 6044 ref 68 ref 13881 ref nil cons 13889 def cons nil cons cons nil cons cons 151 ref subst proveHyp nil 112 ref 8268 ref nil cons 13890 def cons 13891 def nil cons nil cons cons 1070 remove subst nil 67 ref 13890 ref cons 1072 remove cons nil cons cons 13892 def 86 ref subst 13892 ref 151 ref subst nil 1935 remove 6047 ref cons nil cons cons 13893 def 127 ref subst 13894 def 3930 remove 136 ref subst 23 ref 1142 remove appTerm refl 1067 ref 47 remove appTerm betaConv appThm 1068 ref 368 remove appThm eqMp 13888 remove 4072 remove proveHyp eqMp eqMp proveHyp eqMp nil 13891 remove 1079 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 112 ref 13884 ref cons 114 ref 13885 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 13879 ref appTerm 13882 ref appTerm nil cons cons 68 ref 69 ref 13882 remove appTerm 13879 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 13885 ref cons 68 ref 13884 ref cons nil cons cons nil cons cons 13895 def 86 ref subst 13895 remove 151 ref subst nil 6050 ref 114 ref 13889 remove cons nil cons cons nil cons cons 13896 def 127 ref subst 13897 def 6049 ref proveHyp nil 1015 ref 3971 remove cons nil cons cons 151 ref subst proveHyp 3929 remove 3931 remove 3932 remove nil 1819 remove 8185 ref cons nil cons cons 151 ref subst 13898 def 13897 remove 8249 remove proveHyp 13899 def eqMp 13892 remove 136 ref subst 23 ref 13881 remove appTerm refl 1067 remove 8268 ref appTerm betaConv appThm 1068 remove 8268 ref refl appThm eqMp 13896 remove 347 ref subst eqMp eqMp proveHyp eqMp 3941 remove deductAntisym eqMp eqMp eqMp nil 1869 remove 8185 ref cons nil cons cons 151 ref subst proveHyp 13899 remove eqMp eqMp nil 112 ref 13885 remove cons 114 ref 13884 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 65 ref 13873 remove appTerm thm nil 140 ref 56 ref 288 ref 4 ref 288 ref 11 ref 27 ref 425 ref 426 ref 39 ref 41 ref 428 ref 75 ref 5013 remove appTerm 58 ref appTerm 13900 def appTerm absTerm appTerm absTerm appTerm 13901 def appTerm 608 remove 6026 ref appTerm 13866 ref appTerm 13902 def appTerm 13903 def absTerm 13904 def appTerm 13905 def absTerm 13906 def appTerm 13907 def absTerm 13908 def nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 13907 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13906 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 13905 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13904 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 13903 remove nil cons cons nil cons nil cons cons 106 ref subst nil 11 ref 13902 remove nil cons cons 4 ref 13901 remove nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 41 ref 13900 remove absTerm 13909 def 45 ref appTerm betaConv 13910 def appThm absThm appThm absThm appThm appThm appThm 13910 remove appThm nil 56 ref 13909 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 4279 remove 451 ref appThm trans appThm 13876 ref 632 remove subst 13877 remove 13878 ref appThm trans appThm absThm appThm trans sym nil 144 ref 41 ref 23 ref 4285 remove 58 ref appTerm 13911 def appTerm 13880 remove 8268 ref appTerm 13912 def appTerm 13913 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 13913 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13911 ref nil cons 13914 def cons 68 ref 13912 ref nil cons 13915 def cons nil cons cons nil cons cons 13916 def 348 ref subst 13916 ref 86 ref subst 13916 remove 151 ref subst nil 1913 remove 6047 remove cons nil cons cons 13917 def 127 ref subst 13918 def 1917 remove proveHyp 8187 remove proveHyp 13917 remove 347 ref subst 13919 def eqMp nil 6044 remove 68 ref 13890 ref cons nil cons cons nil cons cons 151 ref subst proveHyp 13918 remove 1918 remove proveHyp 13898 remove proveHyp 13919 remove eqMp eqMp eqMp nil 112 ref 13914 ref cons 114 ref 13915 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 13911 ref appTerm 13912 ref appTerm nil cons cons 68 ref 69 ref 13912 remove appTerm 13911 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 13915 ref cons 68 ref 13914 ref cons nil cons cons nil cons cons 13920 def 86 ref subst 13920 remove 151 ref subst nil 6050 remove 114 ref 13890 remove cons nil cons cons nil cons cons 13921 def 127 ref subst 6049 remove proveHyp 2292 remove proveHyp 13921 remove 347 ref subst 13922 def 13894 remove proveHyp eqMp nil 1914 remove 8185 remove cons nil cons cons 151 ref subst proveHyp 13922 remove 13893 remove 347 ref subst proveHyp eqMp eqMp nil 112 ref 13915 remove cons 114 ref 13914 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 65 ref 13908 remove appTerm thm 442 remove 56 ref 292 ref 4 ref 292 ref 11 ref nil 11 ref 1217 remove 6026 ref appTerm 13866 remove appTerm 13923 def nil cons cons 4 ref 425 ref 426 ref 39 ref 41 ref 428 ref 9895 remove appTerm absTerm appTerm absTerm appTerm 13924 def nil cons cons nil cons cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 33 ref 366 ref 429 ref 426 ref 40 ref 41 ref 430 ref 9896 ref 45 ref appTerm betaConv 13925 def appThm absThm appThm absThm appThm appThm appThm 13925 remove appThm nil 56 ref 9896 remove nil cons cons nil cons nil cons cons 465 ref subst eqMp 9887 remove trans appThm 13876 remove 1258 remove subst 1259 ref 6035 ref appThm 13878 remove appThm trans appThm absThm appThm trans absThm appThm absThm appThm absThm appThm sym nil 140 ref 56 ref 288 ref 4 ref 288 ref 11 ref 54 ref 41 ref 23 ref 5160 remove 58 ref appTerm appTerm 251 ref 6025 ref appTerm 8268 remove appTerm appTerm 13926 def absTerm 13927 def appTerm 13928 def absTerm 13929 def appTerm 13930 def absTerm 13931 def appTerm 13932 def absTerm nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 13932 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13931 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 13930 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13929 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 13928 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 13927 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 13926 remove nil cons cons nil cons nil cons cons 106 ref subst 9888 remove eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp nil 65 ref 56 ref 288 ref 4 ref 288 ref 11 ref 27 ref 13924 remove appTerm 13923 remove appTerm absTerm appTerm absTerm appTerm absTerm appTerm thm nil 1453 ref 1403 ref 288 ref 4 ref 288 ref 11 ref 69 ref 251 remove 686 remove 425 ref 426 ref 39 ref 41 ref 428 ref 3532 ref appTerm absTerm appTerm absTerm appTerm appTerm 28 ref appTerm 13933 def appTerm 12558 ref appTerm 13934 def appTerm 9649 remove appTerm 13935 def absTerm 13936 def appTerm 13937 def absTerm 13938 def appTerm 13939 def absTerm 13940 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 13939 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13938 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 13937 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 13936 remove nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 13935 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13934 remove nil cons 13941 def cons 13088 ref cons nil cons cons 13942 def 86 ref subst 13942 remove 151 ref subst nil 67 ref 12558 ref nil cons 13943 def cons 13088 ref cons nil cons cons 13944 def 86 ref subst 13944 remove 151 ref subst 12917 remove 6 remove appTerm betaConv sym 13945 def 1259 ref 544 ref 1035 remove 429 ref 426 ref 40 ref 41 ref 430 ref 1487 ref 3532 remove refl appThm nil 99 ref 10956 remove cons nil cons nil cons cons 562 ref subst trans appThm absThm appThm absThm appThm appThm 1394 ref appThm 13946 def appThm 9496 ref appThm nil 99 ref 13933 ref nil cons 13947 def cons nil cons nil cons cons 13948 def 1362 ref subst trans appThm 544 ref 12601 ref nil 99 ref 13943 ref cons nil cons nil cons cons 13949 def 106 ref subst 12558 remove assume eqMp trans appThm 711 ref appThm 941 ref trans appThm 13948 ref 1612 remove subst trans sym 105 ref eqMp eqMp 324 ref 13108 remove 567 remove cons nil cons cons 594 ref subst 13950 def proveHyp 13089 remove 136 ref subst 13951 def proveHyp 13109 ref eqMp eqMp nil 112 ref 13943 ref cons 13106 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 13947 ref cons 13088 remove cons nil cons cons 13952 def 86 ref subst 13952 remove 151 ref subst 13945 remove 1259 ref 544 ref 13946 remove 13948 remove 106 ref subst 13933 remove assume eqMp trans appThm 9496 remove appThm 941 ref trans appThm 544 ref 12601 remove appThm 711 remove appThm 13949 ref 1362 remove subst trans appThm 13949 remove 1351 remove subst trans sym 105 ref eqMp eqMp 13950 remove proveHyp 13951 remove proveHyp 13109 remove eqMp eqMp nil 112 ref 13947 remove cons 13953 def 13106 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 13953 remove 114 ref 13943 remove cons 261 ref 13087 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 112 ref 13941 remove cons 13106 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 1422 ref 13940 remove appTerm thm nil 317 ref 4 ref 7313 remove 7303 ref 54 ref 452 ref 787 ref 792 ref 793 ref 39 ref 41 ref 794 ref 795 ref 802 ref 8252 remove 7305 ref appTerm 13954 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 13955 def appTerm 5318 remove 1389 ref 18 ref 761 ref 734 remove cons opType constTerm 763 ref appTerm 7304 ref 453 ref appTerm 13956 def appTerm 13957 def appTerm 792 ref 793 ref 39 ref 41 ref 794 ref 795 ref 802 remove 621 remove 7305 remove appTerm 13958 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 13959 def appTerm 13960 def appTerm 13961 def absTerm 13962 def appTerm 13963 def absTerm 13964 def appTerm 13965 def absTerm 13966 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 13965 remove nil cons cons nil cons nil cons cons 106 ref subst nil 7302 remove 13964 remove nil cons cons nil cons nil cons cons 7310 remove subst 7303 remove nil 99 ref 13963 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 13962 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 13961 remove nil cons cons nil cons nil cons cons 106 ref subst nil 727 ref 13960 ref nil cons cons 729 ref 13955 ref nil cons cons nil cons cons nil cons cons 743 ref subst sym nil 8386 remove "p" 724 ref var 13967 def 23 ref 751 ref 13967 ref varTerm 13968 def appTerm 13969 def 13955 ref appTerm appTerm 13969 remove 13960 ref appTerm appTerm 13970 def absTerm 13971 def nil cons cons nil cons nil cons cons 8387 remove subst 13967 remove nil 99 ref 13970 ref nil cons 13972 def cons nil cons nil cons cons 106 ref subst 8406 remove 13968 ref appTerm 13973 def betaConv 8409 remove nil 8410 remove 68 ref 13973 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 741 remove 8411 remove 748 ref 13968 ref nil cons cons nil cons cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 39 ref 452 ref 794 ref 759 ref 796 remove 13968 ref appTerm 13974 def 765 ref appTerm absTerm appTerm absTerm 13975 def appTerm 13976 def nil cons cons 68 ref 13972 ref cons nil cons 13977 def cons nil cons cons 136 ref subst proveHyp nil 144 ref "u" 1 ref var 13978 def 69 ref 13975 ref 13978 ref varTerm 13979 def appTerm 13980 def appTerm 13970 ref appTerm 13981 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 13978 remove nil 99 ref 13981 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13980 ref nil cons 13982 def cons 13977 ref cons nil cons cons 13983 def 86 ref subst 13983 remove 151 ref subst 13980 ref betaConv 13980 remove assume eqMp nil 67 ref 794 ref 759 ref 13974 ref 762 remove 13979 ref appTerm 13984 def 764 ref appTerm appTerm absTerm 13985 def appTerm 13986 def nil cons cons 13977 ref cons nil cons cons 136 ref subst proveHyp nil 871 ref 1436 ref 69 ref 13985 ref 1437 ref appTerm 13987 def appTerm 13970 ref appTerm 13988 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 1436 remove nil 99 ref 13988 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 13987 ref nil cons 13989 def cons 13977 ref cons nil cons cons 13990 def 86 ref subst 13990 remove 151 ref subst 13987 ref betaConv 13987 remove assume eqMp nil 67 ref 13974 remove 13984 remove 1437 ref appTerm 13991 def appTerm 13992 def nil cons 13993 def cons 13977 remove cons nil cons cons 13994 def 136 ref subst proveHyp 13994 ref 86 ref subst 13994 remove 151 ref subst 23 ref "_11626" 724 remove var 13995 def 23 ref 751 ref 13995 remove varTerm appTerm 13996 def 13955 ref appTerm appTerm 13996 remove 13960 ref appTerm appTerm absTerm 13997 def 13968 remove appTerm 13998 def appTerm refl 13997 remove 13991 ref appTerm betaConv appThm 33 ref 13998 remove betaConv appThm 23 ref 751 remove 13991 ref appTerm 13999 def 13955 remove appTerm appTerm 13999 ref 13960 remove appTerm appTerm refl appThm trans 13971 remove refl 13992 remove assume appThm eqMp sym 33 ref 33 ref 13999 remove refl 14000 def 825 ref 793 ref 40 ref 41 ref 826 ref 795 ref 827 ref 41 ref 795 ref 13954 remove absTerm 14001 def absTerm 14002 def 45 ref appTerm betaConv 832 ref appThm 14001 remove 799 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm appThm appThm 14002 ref 13979 ref appTerm betaConv 1437 ref refl 14003 def appThm 795 ref 75 ref 44 remove 13979 ref appTerm 14004 def 7260 ref appTerm appTerm 806 ref 7304 ref 13979 ref appTerm 14005 def appTerm 14006 def appTerm absTerm 1437 ref appTerm betaConv trans appThm nil 837 ref 14002 remove nil cons cons 759 ref 1437 ref nil cons 14007 def cons 452 ref 13979 ref nil cons 14008 def cons nil cons cons 14009 def cons nil cons cons 942 ref subst eqMp 544 ref nil 4122 remove 41 ref 14008 remove cons nil cons cons nil cons cons 1178 ref subst appThm 805 ref 1437 ref appTerm 14010 def 14005 ref appTerm 14011 def refl appThm trans appThm nil 727 ref 13959 remove nil cons cons 729 ref 13957 remove nil cons cons 748 ref 13991 remove nil cons 14012 def cons nil cons cons cons nil cons cons 5325 remove subst 1259 ref nil 1548 remove 13956 ref nil cons cons "f" 761 remove var 763 remove nil cons cons 4623 remove 14012 remove cons nil cons cons cons nil cons cons 869 ref 9094 remove cons 218 ref cons 1469 ref subst subst appThm 33 ref 14000 remove 825 ref 793 ref 40 ref 41 ref 826 ref 795 ref 827 remove 41 ref 795 ref 13958 remove absTerm 14013 def absTerm 14014 def 45 ref appTerm betaConv 832 remove appThm 14013 remove 799 ref appTerm betaConv trans appThm absThm appThm absThm appThm absThm appThm appThm appThm 14014 ref 13979 ref appTerm betaConv 14003 remove appThm 795 ref 75 ref 14004 remove 28 ref appTerm 14015 def appTerm 14016 def 14006 remove appTerm absTerm 1437 ref appTerm betaConv trans appThm nil 837 ref 14014 remove nil cons cons 14009 ref cons nil cons cons 942 remove subst eqMp appThm trans appThm sym 33 ref nil 267 remove 14011 ref nil cons 14017 def cons 68 ref 14015 remove nil cons cons 67 ref 220 ref 13979 ref appTerm 453 ref appTerm 14018 def nil cons 14019 def cons nil cons cons cons nil cons cons 7422 remove subst appThm 1259 ref 826 ref 872 ref 544 ref nil 844 remove 2407 remove cons 9110 remove 14009 remove cons cons nil cons cons 876 remove subst appThm 1552 remove 13956 ref appTerm 14020 def refl appThm absThm appThm appThm 14016 remove 14011 ref appTerm refl 14021 def appThm appThm sym 1259 ref nil 67 ref 75 ref 14018 ref appTerm 14022 def 14011 ref appTerm 14023 def nil cons 14024 def cons 68 ref 794 ref 872 ref 75 ref 14022 ref 10735 ref appTerm appTerm 14020 ref appTerm absTerm 14025 def appTerm 14026 def nil cons 14027 def cons nil cons cons nil cons cons 14028 def 348 ref subst 14028 ref 86 ref subst 14028 remove 151 ref subst nil 112 ref 14019 remove cons 14029 def 114 ref 14017 remove cons nil cons cons nil cons cons 14030 def 127 ref subst 14030 remove 347 ref subst 23 ref "_11628" 1 ref var 14031 def 794 ref 872 ref 75 ref 75 ref 220 ref 14031 remove varTerm appTerm 453 ref appTerm appTerm 10735 ref appTerm appTerm 14020 ref appTerm absTerm appTerm absTerm 14032 def 13979 ref appTerm 14033 def appTerm refl 14032 ref 453 ref appTerm betaConv appThm 33 ref 14033 remove betaConv appThm 794 ref 872 ref 75 ref 934 ref 10735 remove appTerm appTerm 14020 remove appTerm absTerm 14034 def appTerm refl appThm trans 14032 remove refl 14018 remove assume 14035 def appThm eqMp sym 14034 ref 1437 ref appTerm betaConv sym 544 ref 938 ref nil 872 ref 14007 remove cons nil cons 14036 def nil cons cons 940 ref subst appThm 941 ref trans appThm nil 99 ref 14010 ref 13956 ref appTerm 14037 def nil cons cons nil cons nil cons cons 106 ref subst 23 ref "_11630" 1 ref var 14038 def 14010 remove 7304 ref 14038 remove varTerm appTerm appTerm absTerm 14039 def 13979 ref appTerm 14040 def appTerm refl 14039 ref 453 ref appTerm betaConv appThm 33 ref 14040 remove betaConv appThm 14037 remove refl appThm trans 14039 remove refl 14035 ref appThm eqMp 14011 remove assume eqMp eqMp appThm 941 ref trans sym 105 ref eqMp eqMp 870 ref 871 ref 14034 remove nil cons cons 14036 remove cons nil cons cons 594 ref subst proveHyp eqMp proveHyp proveHyp eqMp nil 112 ref 14024 ref cons 114 ref 14027 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 14023 ref appTerm 14026 ref appTerm nil cons cons 68 ref 69 ref 14026 remove appTerm 14023 ref appTerm nil cons cons nil cons 14041 def cons nil cons cons 151 ref subst proveHyp nil 871 ref 759 ref 69 ref 14025 ref 764 ref appTerm 14042 def appTerm 14023 ref appTerm 14043 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 759 ref nil 99 ref 14043 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 14042 ref nil cons 14044 def cons 68 ref 14024 ref cons nil cons 14045 def cons nil cons cons 14046 def 86 ref subst 14046 remove 151 ref subst 14042 ref betaConv 14042 remove assume eqMp nil 67 ref 75 ref 14022 ref 1438 remove 764 ref appTerm 14047 def appTerm 14048 def appTerm 1542 ref 13956 remove appTerm 14049 def appTerm nil cons 14050 def cons 14045 remove cons nil cons cons 14051 def 136 ref subst proveHyp 14051 ref 86 ref subst 14051 remove 151 ref subst nil 112 ref 14048 remove nil cons cons 114 ref 14049 ref nil cons 14052 def cons nil cons cons nil cons cons 14053 def 127 ref subst 14053 remove 347 ref subst nil 14029 remove 114 ref 14047 ref nil cons cons nil cons cons nil cons cons 14054 def 127 ref subst 14054 remove 347 ref subst 23 ref "_11632" 721 ref var 14055 def 14022 ref 805 ref 14055 remove varTerm appTerm 14005 ref appTerm appTerm absTerm 14056 def 1437 remove appTerm 14057 def appTerm refl 14056 ref 764 ref appTerm betaConv appThm 33 ref 14057 remove betaConv appThm 14022 remove 1542 ref 14005 remove appTerm appTerm refl appThm trans 14056 remove refl 14047 remove assume appThm eqMp sym 23 ref "_11638" 1 remove var 14058 def 75 ref 220 ref 14058 remove varTerm 14059 def appTerm 453 ref appTerm appTerm 1542 ref 7304 remove 14059 remove appTerm appTerm appTerm absTerm 14060 def 13979 remove appTerm 14061 def appTerm refl 14060 ref 453 ref appTerm betaConv appThm 33 ref 14061 remove betaConv appThm 934 remove 14049 ref appTerm refl appThm trans 14060 remove refl 14035 remove appThm eqMp sym 938 remove nil 99 ref 14052 remove cons nil cons nil cons cons 106 ref subst 14049 remove assume eqMp appThm 941 ref trans sym 105 ref eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 14050 remove cons 114 ref 14024 remove cons nil cons 14062 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 14044 remove cons 14062 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 14025 ref 910 ref appTerm appTerm 14023 remove appTerm absTerm appTerm nil cons cons 14041 remove cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 14025 remove nil cons cons 14062 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp appThm 14021 remove appThm eqMp eqMp eqMp eqMp nil 112 ref 13993 remove cons 114 ref 13972 remove cons nil cons 14063 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 13989 remove cons 14063 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 13985 ref 910 ref appTerm appTerm 13970 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13986 remove appTerm 13970 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 13985 remove nil cons cons 14063 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 13982 remove cons 14063 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 41 ref 69 ref 13975 ref 45 ref appTerm appTerm 13970 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 13976 remove appTerm 13970 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 13975 remove nil cons cons 14063 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 288 ref 13966 remove appTerm thm nil 317 ref 4 ref 3516 remove 3501 remove 3502 ref 534 ref 11 ref 75 ref 3504 remove 30 ref appTerm appTerm 14064 def 959 ref appTerm absTerm appTerm absTerm appTerm 14065 def appTerm 1389 ref 18 ref 424 ref 18 ref 0 ref 137 remove opType 14066 def 508 remove cons opType nil cons cons opType constTerm 56 ref 4739 remove absTerm 14067 def appTerm 423 remove 18 ref 38 ref 14066 ref nil cons cons opType constTerm 14068 def "v" 37 ref var 14069 def 36 ref 64 remove constTerm 14070 def 56 ref 75 ref 154 remove 14069 ref varTerm appTerm 57 ref appTerm appTerm 14071 def 75 ref 54 ref 41 ref 690 ref 42 ref 18 ref 19 ref 1646 remove cons opType constTerm 58 ref appTerm 1641 remove appTerm appTerm absTerm appTerm appTerm 54 ref 41 ref 2729 ref 23 ref 58 ref appTerm 171 ref appTerm appTerm absTerm appTerm appTerm 14072 def appTerm absTerm appTerm absTerm appTerm 14073 def appTerm 14074 def appTerm 14075 def absTerm 14076 def nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 14075 remove nil cons cons nil cons nil cons cons 106 ref subst nil 2472 remove 14074 ref nil cons cons 488 remove 14065 ref nil cons cons nil cons cons nil cons cons 3507 remove subst sym nil 317 ref 11 ref 23 ref 1679 ref 14065 remove appTerm appTerm 1679 ref 14074 remove appTerm appTerm 14077 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 11 ref nil 99 ref 14077 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 33 ref 1679 remove refl 3509 remove 3502 remove 543 ref 11 ref 14064 remove refl 11 ref 959 remove absTerm 14078 def 30 ref appTerm betaConv 14079 def appThm absThm appThm absThm appThm appThm appThm 14079 remove appThm nil 2930 remove 14078 remove nil cons cons 361 ref cons nil cons cons 3512 remove subst eqMp 995 remove trans appThm nil "s" 14066 ref var 14073 remove nil cons cons "f" 424 remove var 14067 ref nil cons cons 1667 remove 360 remove cons nil cons cons cons nil cons cons 138 remove 3668 remove cons 218 ref cons 1469 ref subst subst 14070 ref refl 14080 def 141 ref 544 ref nil 11 ref 14067 remove 141 ref varTerm 14081 def appTerm 14082 def nil cons cons 638 remove cons nil cons cons 381 ref subst 55 ref 41 ref 3881 ref 366 ref 14082 remove betaConv appThm nil 56 ref 14081 ref nil cons cons nil cons nil cons cons 465 ref subst trans appThm absThm appThm trans appThm 33 ref 42 ref 18 ref 37 remove 18 ref 14066 remove 20 ref cons opType nil cons cons opType constTerm 14081 ref appTerm refl 14068 remove refl 14069 remove 14080 remove 56 ref 14071 remove refl 56 ref 14072 remove absTerm 14083 def 57 ref appTerm betaConv appThm absThm appThm absThm appThm appThm appThm 14083 ref 14081 ref appTerm betaConv appThm nil "p" 38 remove var 14083 remove nil cons cons nil cons nil cons cons 6041 remove 465 ref subst subst eqMp 544 ref 55 ref 41 ref 705 ref nil 166 ref 14081 ref 45 ref appTerm 14084 def nil cons 14085 def cons nil cons nil cons cons 1642 remove subst appThm 710 remove trans absThm appThm 377 ref trans appThm 55 ref 41 ref 2729 ref refl 14086 def nil 99 ref 14085 ref cons nil cons nil cons cons 217 remove subst appThm nil 659 remove 14085 remove cons 662 remove cons nil cons cons 11543 ref 667 remove appTerm 14087 def betaConv 11545 ref 665 remove appTerm 14088 def betaConv 11547 remove nil 67 ref 11546 remove nil cons cons 68 ref 14088 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 ref 11545 remove nil cons cons 676 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 11544 remove nil cons cons 68 ref 14087 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 ref 201 remove 11543 remove nil cons cons 677 remove cons nil cons cons 161 ref subst eqMp eqMp subst trans absThm appThm appThm nil 99 ref 54 ref 41 ref 69 ref 14084 ref appTerm 49 ref appTerm absTerm appTerm 14089 def nil cons cons nil cons nil cons cons 562 ref subst trans trans appThm absThm appThm trans appThm sym nil 1027 remove 68 ref 14070 remove 141 ref 75 ref 54 ref 41 ref 48 ref 14084 remove appTerm absTerm appTerm appTerm 14089 remove appTerm absTerm 14090 def appTerm 14091 def nil cons 14092 def cons nil cons cons nil cons cons 14093 def 348 ref subst 14093 ref 86 ref subst 14093 remove 151 ref subst 14090 ref 2113 remove appTerm betaConv sym 544 ref 55 ref 41 ref 3881 remove 2115 ref appThm 369 remove trans absThm appThm 377 remove trans appThm 55 ref 41 ref 329 ref 2115 remove appThm 634 ref appThm absThm appThm appThm nil 99 ref 1009 ref cons nil cons nil cons cons 562 ref subst trans sym 1000 ref assume eqMp eqMp 139 ref 140 ref 14090 ref nil cons cons 14094 def 141 ref 2116 remove cons nil cons cons nil cons cons 594 ref subst proveHyp eqMp nil 112 ref 1009 remove cons 114 ref 14092 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 1000 ref appTerm 14091 ref appTerm nil cons cons 68 ref 69 ref 14091 remove appTerm 1000 ref appTerm nil cons cons nil cons 14095 def cons nil cons cons 151 ref subst proveHyp nil 140 ref 56 ref 69 ref 14090 ref 57 remove appTerm 14096 def appTerm 1000 ref appTerm 14097 def absTerm nil cons cons nil cons nil cons cons 6042 ref subst 56 ref nil 99 ref 14097 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 14096 ref nil cons 14098 def cons 4705 ref cons nil cons cons 14099 def 86 ref subst 14099 remove 151 ref subst 14096 ref betaConv 14096 remove assume eqMp nil 67 ref 75 ref 54 ref 41 ref 48 remove 58 remove appTerm absTerm 14100 def appTerm 14101 def appTerm 54 ref 41 ref 570 remove 49 ref appTerm absTerm 14102 def appTerm 14103 def appTerm nil cons 14104 def cons 4705 remove cons nil cons cons 14105 def 136 ref subst proveHyp 14105 ref 86 ref subst 14105 remove 151 ref subst nil 112 ref 14101 remove nil cons 14106 def cons 114 ref 14103 remove nil cons 14107 def cons nil cons cons nil cons cons 14108 def 127 ref subst 14108 remove 347 ref subst 4707 remove 41 ref 4708 remove 4709 remove 4710 remove 14100 ref 45 ref appTerm 14109 def betaConv nil 67 ref 14106 remove cons 68 ref 14109 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 14100 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp 1792 remove eqMp nil 9522 remove 1706 ref cons nil cons cons 136 ref subst proveHyp 14102 ref 45 ref appTerm 14110 def betaConv nil 67 ref 14107 remove cons 68 ref 14110 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 14102 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp 4718 remove deductAntisym eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 14104 remove cons 1010 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 14098 remove cons 1010 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 65 ref 141 remove 69 ref 14090 remove 14081 remove appTerm appTerm 1000 remove appTerm absTerm appTerm nil cons cons 14095 remove cons nil cons cons 136 ref subst proveHyp 139 remove 14094 remove 1010 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp absThm eqMp nil 288 ref 14076 remove appTerm thm nil 140 remove 56 ref 288 ref 4 ref 54 ref 452 ref 27 ref 425 remove 426 ref 39 remove 41 ref 428 remove 8253 remove appTerm absTerm appTerm absTerm appTerm 14111 def appTerm 14112 def 3546 remove 457 ref appTerm 4116 remove 6026 ref appTerm 14113 def appTerm 6026 ref appTerm 14114 def appTerm 14115 def absTerm 14116 def appTerm 14117 def absTerm 14118 def appTerm 14119 def absTerm 14120 def nil cons cons nil cons nil cons cons 6042 remove subst 56 ref nil 99 ref 14119 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 14118 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 14117 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 14116 remove nil cons cons nil cons nil cons cons 326 ref subst 452 ref nil 99 ref 14115 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_10523" 3 remove var 14121 def 14112 ref 14121 remove varTerm appTerm absTerm 14122 def 14114 remove appTerm betaConv appThm 544 ref 69 ref 457 ref appTerm 14123 def refl 14122 ref 14113 ref appTerm betaConv appThm appThm 69 ref 34 ref 457 ref appTerm 14124 def appTerm 14125 def refl 14122 ref 6026 ref appTerm betaConv appThm appThm appThm nil 3553 remove 6027 ref cons 3555 remove 14113 ref nil cons 14126 def cons 3557 ref 8176 remove cons nil cons cons cons nil cons cons nil 3558 remove 14122 remove nil cons cons nil cons nil cons cons 3575 remove subst subst eqMp sym nil 8181 remove 68 ref 14112 ref 14113 remove appTerm 14127 def nil cons 14128 def cons nil cons cons nil cons cons 14129 def 86 ref subst 14129 remove 151 ref subst nil 11 ref 14126 remove cons 4 ref 14111 remove nil cons cons nil cons 14130 def cons nil cons cons 381 ref subst 55 ref 41 ref 33 ref 33 ref 366 ref 429 remove 426 remove 40 ref 41 ref 430 remove 8254 ref 45 ref appTerm betaConv 14131 def appThm absThm appThm absThm appThm appThm appThm 14131 remove appThm nil 56 ref 8254 remove nil cons cons nil cons nil cons cons 465 remove subst eqMp 8212 remove trans appThm 14132 def nil 6028 remove 4123 remove cons nil cons cons 1178 remove subst 8190 remove 6035 ref appThm trans appThm absThm appThm trans sym nil 144 ref 41 ref 23 ref 8215 remove appTerm 14133 def 8158 remove 6025 ref appTerm appTerm 14134 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14134 remove nil cons 14135 def cons nil cons nil cons cons 106 ref subst nil 67 ref 34 ref 2964 ref appTerm 14136 def nil cons 14137 def cons 14138 def 68 ref 14135 ref cons nil cons 14139 def cons nil cons cons 14140 def 86 ref subst 14140 remove 151 ref subst 33 ref 544 ref 1259 ref nil 14138 ref 68 ref 23 ref 2964 ref appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 8206 ref nil cons nil cons cons 1095 ref subst eqMp 14141 def appThm 14142 def 634 ref appThm 1309 remove trans appThm 451 remove appThm 14143 def appThm 14142 ref 6025 ref refl appThm nil 99 ref 6043 ref cons nil cons nil cons cons 1308 ref subst trans appThm nil 166 ref 6043 remove cons nil cons nil cons cons 225 ref subst trans sym 105 ref eqMp eqMp nil 112 ref 14137 ref cons 14144 def 114 ref 14135 ref cons nil cons 14145 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 8200 ref 14139 remove cons nil cons cons 14146 def 86 ref subst 14146 remove 151 ref subst 33 ref 544 ref 1259 remove 3417 remove 8202 ref appThm 453 ref refl appThm 937 remove trans 14147 def appThm 14148 def 3772 remove 8202 ref appThm 1394 remove appThm 14149 def appThm 8177 ref trans appThm 14150 def 8205 ref appThm 941 remove trans appThm 14148 remove 544 ref 14149 ref appThm 14151 def 8205 remove appThm 7254 remove trans appThm 8177 remove trans appThm 527 remove trans sym 105 ref eqMp eqMp nil 8206 ref 14145 remove cons nil cons cons 127 ref subst deductAntisym eqMp 1381 remove 2964 ref appTerm 14152 def betaConv 1384 remove nil 1385 remove 68 ref 14152 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 200 remove 1386 remove 4126 remove cons nil cons cons 161 ref subst eqMp eqMp 14153 def nil 8206 ref 114 ref 14137 remove cons 14154 def 261 ref 14135 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp eqMp nil 8193 ref 114 ref 14128 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 14123 remove 14127 remove appTerm nil cons cons 68 ref 14125 remove 14112 remove 6026 remove appTerm 14155 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 14124 remove nil cons 14156 def cons 14157 def 68 ref 14155 remove nil cons 14158 def cons nil cons cons nil cons cons 14159 def 86 ref subst 14159 remove 151 ref subst nil 11 remove 6027 remove cons 14130 remove cons nil cons cons 381 remove subst 55 ref 41 ref 14132 remove 6035 remove appThm absThm appThm trans sym nil 144 ref 41 ref 14133 remove 6025 remove appTerm 14160 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14160 remove nil cons 14161 def cons nil cons nil cons cons 106 ref subst nil 14138 ref 68 ref 14161 ref cons nil cons 14162 def cons nil cons cons 14163 def 86 ref subst 14163 remove 151 ref subst 14143 remove eqMp nil 14144 ref 114 ref 14161 ref cons nil cons 14164 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 8200 ref 14162 remove cons nil cons cons 14165 def 86 ref subst 14165 remove 151 ref subst 33 ref 14150 remove 8203 remove nil 14157 remove 68 ref 23 ref 457 remove appTerm 171 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst nil 8193 remove nil cons nil cons cons 1095 remove subst eqMp trans 14166 def appThm 1096 remove trans appThm 14151 remove 14166 remove appThm 7247 remove trans appThm 554 remove trans sym 105 ref eqMp eqMp nil 8206 ref 14164 remove cons nil cons cons 127 ref subst deductAntisym eqMp 14153 remove nil 8206 ref 14154 remove 261 ref 14161 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp eqMp nil 112 ref 14156 remove cons 114 ref 14158 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 65 remove 14120 remove appTerm thm nil 1453 ref 1403 ref 11653 remove absTerm 14167 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 11654 remove cons nil cons nil cons cons 106 ref subst 11652 remove eqMp absThm eqMp nil 1422 ref 14167 remove appTerm thm 13129 remove nil 13130 remove thm nil 1453 ref 1403 ref 9863 remove absTerm 14168 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 9864 remove cons nil cons nil cons cons 106 ref subst 9862 remove eqMp absThm eqMp nil 1422 ref 14168 remove appTerm thm nil 510 remove 2602 ref 6669 remove 8592 ref 787 ref 9152 ref 3052 remove 8593 ref appTerm 14169 def appTerm 14170 def appTerm 14171 def 9155 remove 9059 ref 6677 ref 6678 ref 2909 ref 783 ref 75 ref 6679 ref 737 ref 789 ref appTerm 14172 def appTerm appTerm 8596 ref appTerm absTerm appTerm absTerm appTerm appTerm 14173 def appTerm 9054 remove 9055 remove 8593 ref appTerm 9056 remove appTerm 14174 def appTerm 9059 ref 6677 remove 6678 ref 534 ref 4 ref 75 ref 6679 remove 9058 ref appTerm appTerm 4859 remove appTerm absTerm appTerm absTerm appTerm appTerm 14175 def appTerm 9059 remove 8598 remove appTerm 14176 def appTerm 14177 def appTerm 14178 def appTerm 14179 def absTerm 14180 def appTerm 14181 def absTerm 14182 def nil cons cons nil cons nil cons cons 1695 remove subst 2602 remove nil 99 ref 14181 remove nil cons cons nil cons nil cons cons 106 ref subst nil 6691 remove 14180 remove nil cons cons nil cons nil cons cons 6692 remove subst 8592 remove nil 99 ref 14179 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_11948" 726 ref var 14183 def 14171 ref 14183 remove varTerm appTerm absTerm 14184 def 14178 remove appTerm betaConv appThm 544 ref 8287 remove 14184 ref 14173 ref appTerm betaConv appThm appThm 8290 remove 14184 ref 14177 ref appTerm betaConv 14185 def appThm appThm appThm nil 9071 ref 14177 ref nil cons cons 9072 ref 14173 ref nil cons cons 8292 remove cons cons nil cons cons nil 9074 remove 14184 remove nil cons cons nil cons nil cons cons 9075 remove subst 14186 def subst eqMp sym nil 8293 remove 68 ref 14171 ref 14173 ref appTerm 14187 def nil cons 14188 def cons nil cons cons nil cons cons 14189 def 86 ref subst 14189 remove 151 ref subst 6501 ref 9168 remove 14169 ref refl appThm appThm 14173 remove refl appThm sym 787 ref 737 remove 14169 ref appTerm 14190 def appTerm refl 6501 ref 9087 ref 6700 ref 6678 ref 2910 remove 783 ref 544 ref 6701 ref 783 ref 14172 ref absTerm 14191 def 789 ref appTerm betaConv 14192 def appThm appThm 783 ref 8596 ref absTerm 14193 def 789 ref appTerm betaConv 14194 def appThm absThm appThm absThm appThm appThm appThm 825 ref 793 ref 3725 ref 9088 ref 9091 ref 1522 ref 783 ref 329 ref 14194 ref appThm 9093 ref 14192 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil 6710 remove 14191 remove nil cons cons 2962 remove 14193 remove nil cons cons nil cons cons nil cons cons 9095 remove subst eqMp appThm sym nil 727 ref 792 ref 793 ref 3722 ref 9088 ref 9090 ref 812 ref 783 ref 69 ref 8596 remove appTerm 14195 def 9092 ref 14172 ref appTerm appTerm absTerm appTerm 14196 def appTerm absTerm appTerm absTerm 14197 def appTerm 14198 def nil cons cons 729 ref 14190 ref nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 14190 remove appTerm appTerm 753 ref 14198 ref appTerm appTerm absTerm 14199 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 14199 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 14199 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 783 ref 14169 ref nil cons cons 14200 def 8 ref 1529 remove cons cons nil cons cons 1537 ref subst appThm 781 ref 14198 ref appTerm refl appThm absThm appThm absThm appThm trans sym nil 144 ref 41 ref 757 ref 759 ref 23 ref 828 ref 1542 ref 14169 ref appTerm 14201 def appTerm appTerm 9102 ref 14198 ref appTerm appTerm absTerm appTerm 14202 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14202 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 795 ref 23 ref 828 remove 806 remove 14169 remove appTerm 14203 def appTerm appTerm 14204 def 1530 ref 14198 remove appTerm appTerm 14205 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 14205 remove nil cons cons nil cons nil cons cons 106 ref subst 14204 remove refl 14206 def nil 766 ref 14197 ref nil cons cons 9107 ref cons nil cons cons 843 ref subst 14197 remove 800 ref appTerm betaConv 33 ref 3725 ref 9088 ref 9088 ref 9108 ref 14196 remove appTerm absTerm 14207 def 9089 ref appTerm betaConv absThm appThm appThm 40 ref 452 ref 826 ref 759 ref 14207 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 14207 remove nil cons cons nil cons nil cons cons 3739 ref subst eqMp trans trans 40 ref 452 ref 826 ref 759 ref 9111 ref 812 ref 783 ref 14195 ref 781 ref 14172 remove appTerm appTerm absTerm appTerm 14208 def refl appThm nil 1272 ref 14208 ref nil cons cons 9116 ref cons nil cons cons 1977 ref subst trans absThm appThm absThm appThm trans appThm sym 14206 remove 33 ref 40 ref 452 ref 826 ref 759 ref 452 ref 759 ref 2965 ref 9117 ref 14208 remove appTerm 14209 def appTerm absTerm 14210 def absTerm 14211 def 453 ref appTerm betaConv 833 ref appThm 14210 remove 764 ref appTerm betaConv trans 14212 def absThm appThm absThm appThm appThm 826 ref 759 ref 40 ref 452 ref 14212 remove absThm appThm absThm appThm appThm nil 837 ref 14211 remove nil cons cons nil cons nil cons cons 2959 ref subst eqMp appThm sym 33 ref 1487 ref nil 8605 ref 1462 remove cons nil cons cons 3075 remove subst 14213 def appThm nil 99 ref 812 ref 783 ref 14195 ref 807 ref appTerm 14214 def absTerm 14215 def appTerm 14216 def nil cons 14217 def cons nil cons nil cons cons 562 remove subst trans appThm 826 ref 759 ref 33 ref 40 ref 846 ref 9122 ref 452 ref 14209 remove absTerm 14218 def 848 ref appTerm betaConv appThm absThm appThm appThm 14218 ref 45 ref appTerm betaConv appThm nil 56 ref 14218 remove nil cons cons 1479 ref cons nil cons cons 1482 ref subst eqMp 9124 ref 1522 ref 783 ref 14195 ref refl nil 8 remove 9126 ref cons nil cons cons 1537 ref subst 1487 remove 7215 remove appThm 5276 remove trans trans appThm absThm appThm appThm trans absThm appThm 33 ref 826 ref 759 ref 9124 ref 759 ref 812 ref 783 ref 14195 remove 1543 remove appTerm absTerm appTerm absTerm 14219 def 764 ref appTerm betaConv appThm absThm appThm appThm 14219 ref 799 ref appTerm betaConv appThm nil 1461 ref 14219 remove nil cons cons 9130 ref cons nil cons cons 9131 ref subst eqMp trans appThm nil 166 remove 14217 ref cons nil cons nil cons cons 225 remove subst trans sym 105 ref eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp eqMp nil 8298 remove 114 ref 14188 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 8286 remove 14187 remove appTerm nil cons cons 68 ref 8289 remove 14171 ref 14177 remove appTerm 14220 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 8301 ref 68 ref 14220 remove nil cons 14221 def cons nil cons cons nil cons cons 14222 def 86 ref subst 14222 remove 151 ref subst 33 ref 14185 remove appThm 544 ref 69 ref 14174 ref appTerm 14223 def refl "_11954" 726 remove var 14224 def 14171 ref 14224 remove varTerm appTerm absTerm 14225 def 14175 ref appTerm betaConv appThm appThm 69 ref 34 ref 14174 ref appTerm 14226 def appTerm 14227 def refl 14225 remove 14176 ref appTerm betaConv appThm appThm appThm nil 9071 remove 14176 ref nil cons cons 9072 remove 14175 ref nil cons cons 3557 ref 14174 ref nil cons 14228 def cons nil cons cons cons nil cons cons 14186 remove subst eqMp sym nil 67 ref 14228 ref cons 68 ref 14171 ref 14175 ref appTerm 14229 def nil cons 14230 def cons nil cons cons nil cons cons 14231 def 86 ref subst 14231 remove 151 ref subst 6501 ref 9152 ref refl 9079 remove 14174 remove assume appThm 9080 remove trans appThm appThm 14175 remove refl appThm sym 787 remove 9152 remove 738 ref appTerm 14232 def appTerm refl 6501 ref 9087 ref 6700 remove 6678 remove 543 remove 4 ref 544 ref 6701 remove 4 ref 9058 ref absTerm 14233 def 28 ref appTerm betaConv 14234 def appThm appThm 7220 ref appThm absThm appThm absThm appThm appThm appThm 825 ref 793 ref 3725 ref 9088 ref 9091 ref 292 ref 4 ref 329 ref 7220 ref appThm 9093 remove 14234 remove appThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil 7221 remove 14233 remove nil cons cons 7222 remove nil cons cons nil cons cons 9174 remove subst eqMp appThm sym nil 727 ref 792 ref 793 ref 3722 ref 9088 ref 9090 ref 288 ref 4 ref 4860 ref 9092 remove 9058 ref appTerm appTerm absTerm appTerm 14235 def appTerm absTerm appTerm absTerm 14236 def appTerm 14237 def nil cons cons 729 ref 14232 ref nil cons cons nil cons cons nil cons cons 743 ref subst 33 ref 747 ref 748 ref 748 ref 23 ref 753 ref 14232 remove appTerm appTerm 753 ref 14237 ref appTerm appTerm absTerm 14238 def 752 ref appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 14238 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 14238 remove nil cons cons nil cons nil cons cons 780 ref subst eqMp trans 55 ref 452 ref 758 ref 759 ref 33 ref nil 785 ref 9179 ref cons nil cons cons 1537 ref subst appThm 781 ref 14237 ref appTerm refl appThm absThm appThm absThm appThm trans sym nil 144 ref 41 ref 757 ref 759 ref 23 ref 9180 ref 1542 remove 738 remove appTerm appTerm appTerm 9102 ref 14237 ref appTerm appTerm absTerm appTerm 14239 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14239 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 795 ref 23 ref 9180 ref 829 remove appTerm appTerm 14240 def 1530 ref 14237 remove appTerm appTerm 14241 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 ref nil 99 ref 14241 remove nil cons cons nil cons nil cons cons 106 ref subst 14240 remove refl 14242 def nil 766 ref 14236 ref nil cons cons 9107 ref cons nil cons cons 843 ref subst 14236 remove 800 ref appTerm betaConv 33 ref 3725 ref 9088 ref 9088 ref 9108 ref 14235 remove appTerm absTerm 14243 def 9089 ref appTerm betaConv absThm appThm appThm 40 ref 452 ref 826 ref 759 ref 14243 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 14243 remove nil cons cons nil cons nil cons cons 3739 ref subst eqMp trans trans 40 ref 452 ref 826 ref 759 ref 9111 ref 288 ref 4 ref 4860 ref 781 ref 9058 remove appTerm appTerm absTerm appTerm 14244 def refl appThm nil 1272 ref 14244 ref nil cons cons 9116 ref cons nil cons cons 1977 ref subst trans absThm appThm absThm appThm trans appThm sym 14242 remove 33 ref 40 ref 452 ref 826 ref 759 ref 452 ref 759 ref 2965 ref 9117 ref 14244 remove appTerm 14245 def appTerm absTerm 14246 def absTerm 14247 def 453 ref appTerm betaConv 833 ref appThm 14246 remove 764 ref appTerm betaConv trans 14248 def absThm appThm absThm appThm appThm 826 ref 759 ref 40 ref 452 ref 14248 remove absThm appThm absThm appThm appThm nil 837 ref 14247 remove nil cons cons nil cons nil cons cons 2959 ref subst eqMp appThm sym 33 ref 9192 ref 5719 remove appThm 9215 remove trans appThm 826 ref 759 ref 33 ref 40 ref 846 ref 9122 ref 452 ref 14245 remove absTerm 14249 def 848 ref appTerm betaConv appThm absThm appThm appThm 14249 ref 45 ref appTerm betaConv appThm nil 56 ref 14249 remove nil cons cons 1479 ref cons nil cons cons 1482 ref subst eqMp 9124 ref 292 ref 4 ref 4873 remove nil 785 remove 9126 remove cons nil cons cons 1537 ref subst 1357 remove 945 remove appThm 1363 remove trans trans appThm absThm appThm appThm trans absThm appThm 33 ref 826 ref 759 ref 9124 ref 759 ref 288 ref 4 ref 4860 remove 49 ref appTerm 14250 def absTerm 14251 def appTerm absTerm 14252 def 764 ref appTerm betaConv appThm absThm appThm appThm 14252 ref 799 ref appTerm betaConv appThm nil 1461 ref 14252 remove nil cons cons 9130 ref cons nil cons cons 9131 ref subst eqMp trans appThm 8348 remove trans sym 105 ref eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp eqMp nil 112 ref 14228 remove cons 114 ref 14230 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 14223 remove 14229 remove appTerm nil cons cons 68 ref 14227 remove 14171 ref 14176 remove appTerm 14253 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 14226 remove nil cons 14254 def cons 14255 def 68 ref 14253 remove nil cons 14256 def cons nil cons cons nil cons cons 14257 def 86 ref subst 14257 remove 151 ref subst 14171 remove refl 6501 remove 9087 remove 8609 remove appThm appThm 825 remove 793 ref 3725 ref 9088 ref 9091 remove 292 ref 4 ref 1522 ref 783 ref 329 ref 8608 remove appThm 9097 ref refl appThm absThm appThm absThm appThm appThm absThm appThm absThm appThm appThm nil 8610 remove 8611 remove nil cons cons nil cons cons 2915 remove 323 remove "C" 725 remove cons nil cons cons cons 218 ref cons 11793 remove subst subst eqMp appThm sym nil 727 remove 792 remove 793 remove 3722 remove 9088 ref 9090 remove 288 ref 4 ref 812 ref 783 ref 69 ref 8597 remove appTerm 14258 def 9097 remove appTerm absTerm appTerm absTerm appTerm 14259 def appTerm absTerm appTerm absTerm 14260 def appTerm 14261 def nil cons cons 729 remove 14170 ref nil cons cons nil cons cons nil cons cons 743 remove subst 33 ref 747 remove 748 ref 748 remove 23 ref 753 ref 14170 remove appTerm appTerm 753 remove 14261 ref appTerm appTerm absTerm 14262 def 752 remove appTerm betaConv absThm appThm appThm 55 ref 452 ref 758 ref 759 ref 14262 ref 765 ref appTerm betaConv absThm appThm absThm appThm appThm nil 766 ref 14262 remove nil cons cons nil cons nil cons cons 780 remove subst eqMp trans 55 ref 452 ref 758 remove 759 ref 33 ref nil 14200 remove 9179 remove cons nil cons cons 1537 ref subst appThm 781 remove 14261 ref appTerm refl appThm absThm appThm absThm appThm trans sym nil 144 ref 41 ref 757 ref 759 ref 23 ref 9180 ref 14201 remove appTerm appTerm 9102 remove 14261 ref appTerm appTerm absTerm appTerm 14263 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14263 remove nil cons cons nil cons nil cons cons 106 ref subst nil 871 ref 795 ref 23 ref 9180 remove 14203 remove appTerm appTerm 14264 def 1530 remove 14261 remove appTerm appTerm 14265 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 795 remove nil 99 ref 14265 remove nil cons cons nil cons nil cons cons 106 ref subst 14264 remove refl 14266 def nil 766 ref 14260 ref nil cons cons 9107 remove cons nil cons cons 843 remove subst 14260 remove 800 remove appTerm betaConv 33 ref 3725 remove 9088 ref 9088 remove 9108 remove 14259 remove appTerm absTerm 14267 def 9089 remove appTerm betaConv absThm appThm appThm 40 ref 452 ref 826 ref 759 ref 14267 ref 765 remove appTerm betaConv absThm appThm absThm appThm appThm nil 766 remove 14267 remove nil cons cons nil cons nil cons cons 3739 ref subst eqMp trans trans 40 ref 452 ref 826 ref 759 ref 9111 remove 288 ref 4 ref 812 ref 783 ref 14258 ref 9112 remove appTerm absTerm appTerm absTerm appTerm 14268 def refl appThm nil 1272 remove 14268 ref nil cons cons 9116 remove cons nil cons cons 1977 remove subst trans absThm appThm absThm appThm trans appThm sym 14266 remove 33 ref 40 ref 452 ref 826 ref 759 ref 452 ref 759 ref 2965 remove 9117 remove 14268 remove appTerm 14269 def appTerm absTerm 14270 def absTerm 14271 def 453 ref appTerm betaConv 833 remove appThm 14270 remove 764 ref appTerm betaConv trans 14272 def absThm appThm absThm appThm appThm 826 ref 759 ref 40 ref 452 ref 14272 remove absThm appThm absThm appThm appThm nil 837 remove 14271 remove nil cons cons nil cons nil cons cons 2959 remove subst eqMp appThm sym 33 ref 9192 remove 14213 remove appThm appThm 826 ref 759 ref 33 ref 40 remove 846 remove 9122 remove 452 ref 14269 remove absTerm 14273 def 848 remove appTerm betaConv appThm absThm appThm appThm 14273 ref 45 ref appTerm betaConv appThm nil 56 remove 14273 remove nil cons cons 1479 remove cons nil cons cons 1482 remove subst eqMp 9124 ref 292 remove 4 ref 1522 remove 783 ref 14258 ref refl 9127 remove appThm absThm appThm absThm appThm appThm trans absThm appThm 33 ref 826 ref 759 ref 9124 remove 759 ref 288 ref 4 ref 812 ref 783 ref 14258 ref 9128 remove appTerm absTerm appTerm absTerm appTerm absTerm 14274 def 764 ref appTerm betaConv appThm absThm appThm appThm 14274 ref 799 remove appTerm betaConv appThm nil 1461 remove 14274 remove nil cons cons 9130 remove cons nil cons cons 9131 remove subst eqMp trans appThm sym nil 67 ref 9198 remove 14216 remove appTerm 14275 def nil cons 14276 def cons 68 ref 288 ref 4 ref 812 ref 783 ref 14258 remove 808 remove appTerm 14277 def absTerm 14278 def appTerm 14279 def absTerm 14280 def appTerm 14281 def nil cons 14282 def cons nil cons cons nil cons cons 14283 def 348 ref subst 14283 ref 86 ref subst 14283 remove 151 ref subst nil 112 ref 8329 ref cons 114 ref 14217 ref cons nil cons cons nil cons cons 14284 def 127 ref subst 14284 remove 347 ref subst nil 317 ref 14280 ref nil cons cons 14285 def nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 14279 remove nil cons 14286 def cons nil cons nil cons cons 106 ref subst nil 820 ref 14278 ref nil cons cons 14287 def nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 14277 remove nil cons 14288 def cons nil cons nil cons cons 106 ref subst nil 67 ref 8823 remove cons 68 ref 6389 ref cons nil cons cons nil cons cons 14289 def 86 ref subst 14289 remove 151 ref subst 8827 remove 8828 remove nil 4890 ref 1706 ref cons nil cons cons 14290 def 136 ref subst 714 remove 8316 ref 30 remove appTerm 14291 def betaConv nil 67 ref 8329 remove cons 14292 def 68 ref 14291 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 317 ref 8316 remove nil cons cons 361 remove cons nil cons cons 161 ref subst eqMp eqMp subst eqMp nil 1015 ref 3849 ref cons nil cons cons 151 ref subst proveHyp nil 67 ref 8796 remove cons 14293 def 3849 ref cons nil cons cons 14294 def 136 ref subst 14215 ref 789 ref appTerm 14295 def betaConv nil 67 ref 14217 ref cons 68 ref 14295 remove nil cons cons nil cons cons nil cons cons 136 ref subst 819 ref 820 ref 14215 remove nil cons cons 14296 def 823 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp proveHyp proveHyp eqMp nil 8824 remove 114 ref 6389 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp absThm eqMp proveHyp proveHyp eqMp nil 112 ref 14276 ref cons 114 ref 14282 ref cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 14275 ref appTerm 14281 ref appTerm nil cons cons 68 ref 69 ref 14281 remove appTerm 14275 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 67 ref 14282 ref cons 14297 def 68 ref 14276 ref cons nil cons cons nil cons cons 14298 def 86 ref subst 14298 remove 151 ref subst nil 317 ref 14251 remove nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 14250 remove nil cons cons nil cons nil cons cons 106 ref subst 14290 ref 86 ref subst 14290 remove 151 ref subst nil 14255 remove 1706 ref cons nil cons cons 136 ref subst 329 ref nil 8605 remove nil cons nil cons cons 1599 remove 472 remove subst subst appThm 634 ref appThm sym nil 820 ref 783 ref 69 ref 821 ref 6682 remove 4818 ref appTerm 8593 remove appTerm absTerm 14299 def 789 ref appTerm 14300 def appTerm 49 ref appTerm 14301 def absTerm nil cons cons nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 14301 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 14300 ref nil cons 14302 def cons 1706 ref cons nil cons cons 14303 def 86 ref subst 14303 remove 151 ref subst 14194 remove 14300 remove assume eqMp nil 14293 remove 1706 ref cons nil cons cons 14304 def 136 ref subst proveHyp 14304 ref 86 ref subst 14304 remove 151 ref subst 14278 remove 789 ref appTerm 14305 def betaConv 14280 remove 28 ref appTerm 14306 def betaConv nil 14297 remove 68 ref 14306 remove nil cons cons nil cons cons nil cons cons 136 ref subst 324 ref 14285 remove 359 ref cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 14286 remove cons 68 ref 14305 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 ref 14287 remove 823 remove cons nil cons cons 161 ref subst eqMp eqMp 14307 def nil 67 ref 14288 remove cons 14308 def 1706 ref cons nil cons cons 136 ref subst proveHyp 329 ref 329 ref 8805 remove appThm 6388 remove appThm nil 99 ref 6389 remove cons nil cons nil cons cons 2033 remove subst trans appThm 14309 def 634 remove appThm sym nil 6635 ref 1706 remove cons nil cons cons 14310 def 86 ref subst 14310 remove 151 ref subst 6639 remove eqMp nil 6644 ref 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 8797 ref 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 14302 remove cons 1878 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 812 ref 821 remove 69 ref 14299 ref 4818 remove appTerm appTerm 49 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 2909 remove 14299 ref appTerm appTerm 49 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 819 remove 820 ref 14299 remove nil cons cons 1878 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 4921 ref 1878 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 14292 remove 68 ref 14217 remove cons nil cons cons nil cons cons 151 ref subst proveHyp nil 14296 remove nil cons nil cons cons 3128 ref subst 783 ref nil 99 ref 14214 remove nil cons cons nil cons nil cons cons 106 ref subst 14294 ref 86 ref subst 14294 remove 151 ref subst nil 8301 remove 3849 ref cons nil cons cons 136 ref subst 329 ref 2613 remove 12705 remove subst appThm 3827 ref appThm sym nil 317 ref 4 ref 69 ref 356 ref 2617 remove absTerm 14311 def 28 ref appTerm 14312 def appTerm 807 ref appTerm 14313 def absTerm nil cons cons nil cons nil cons cons 327 ref subst 4 ref nil 99 ref 14313 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 14312 ref nil cons 14314 def cons 3849 ref cons nil cons cons 14315 def 86 ref subst 14315 remove 151 ref subst 7220 remove 14312 remove assume eqMp nil 4890 remove 3849 ref cons nil cons cons 14316 def 136 ref subst proveHyp 14316 ref 86 ref subst 14316 remove 151 ref subst 14307 remove nil 14308 remove 3849 ref cons nil cons cons 136 ref subst proveHyp 14309 remove 3827 remove appThm sym nil 6635 remove 3849 remove cons nil cons cons 14317 def 86 ref subst 14317 remove 151 ref subst 6640 remove eqMp nil 6644 remove 3864 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 4921 remove 3864 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 14314 remove cons 3864 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 288 ref 356 remove 69 ref 14311 ref 1822 remove appTerm appTerm 807 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 534 remove 14311 ref appTerm appTerm 807 remove appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 ref 317 ref 14311 remove nil cons cons 3864 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp nil 8797 remove 3864 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp nil 112 ref 14282 remove cons 114 ref 14276 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 112 ref 14254 remove cons 114 ref 14256 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 8349 remove 114 ref 14221 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp absThm eqMp nil 506 remove 14182 remove appTerm thm 13074 remove nil 13075 remove thm nil 1453 ref 1403 ref 11976 remove absTerm 14318 def nil cons cons nil cons nil cons cons 2429 ref subst 1403 ref nil 99 ref 11977 remove cons nil cons nil cons cons 106 ref subst 11975 remove eqMp absThm eqMp nil 1422 ref 14318 remove appTerm thm nil 871 ref 10798 ref 54 ref 452 ref 288 ref 4 ref 812 remove 783 ref 10800 ref 10802 ref 10803 ref 5704 ref 1403 ref 10804 ref 75 ref 54 ref 41 ref 8211 remove 5881 ref appTerm absTerm appTerm appTerm 54 ref 41 ref 69 ref 34 ref 8210 remove appTerm appTerm 10806 ref appTerm absTerm appTerm appTerm appTerm absTerm appTerm absTerm 14319 def appTerm 14320 def appTerm 1389 remove 18 ref 18 ref 720 remove 721 ref 1451 ref cons opType 14321 def 1451 ref cons opType 14322 def 18 ref 0 remove 14321 ref nil cons 14323 def opType 14324 def 10801 remove cons opType nil cons cons opType constTerm 7609 ref 18 ref 18 ref 14322 ref 20 ref cons opType 14325 def 14322 ref nil cons 14326 def cons opType constTerm 14327 def "f" 14322 ref var 14328 def 757 ref 759 ref 1422 ref 4505 ref 10253 ref 14328 ref varTerm 760 remove 18 ref 721 ref 18 ref 1402 ref 14323 ref cons opType nil cons cons opType constTerm 14329 def 764 ref appTerm 4510 ref appTerm 14330 def appTerm appTerm 41 ref 3670 ref 2964 ref appTerm 14331 def 764 ref appTerm 14332 def 4536 ref appTerm absTerm 14333 def appTerm absTerm appTerm absTerm appTerm absTerm appTerm 14334 def appTerm 730 remove 18 ref 731 remove 18 ref 10799 remove 14324 ref nil cons cons opType nil cons cons opType constTerm 789 ref appTerm 10802 ref 10803 ref 5704 ref 1403 ref 10804 ref 75 ref 11873 remove appTerm 54 ref 41 ref 2729 ref 10806 ref appTerm absTerm appTerm appTerm 14335 def appTerm absTerm appTerm absTerm 14336 def appTerm 14337 def appTerm 14338 def appTerm 14339 def appTerm 14340 def absTerm 14341 def appTerm 14342 def absTerm 14343 def appTerm 14344 def absTerm 14345 def appTerm 14346 def absTerm 14347 def nil cons cons nil cons nil cons cons 898 ref subst 10798 remove nil 99 ref 14346 remove nil cons cons nil cons nil cons cons 106 ref subst nil 144 ref 14345 remove nil cons cons nil cons nil cons cons 326 ref subst 452 remove nil 99 ref 14344 remove nil cons cons nil cons nil cons cons 106 ref subst nil 317 ref 14343 remove nil cons cons nil cons nil cons cons 327 remove subst 4 ref nil 99 ref 14342 remove nil cons cons nil cons nil cons cons 106 ref subst nil 820 remove 14341 remove nil cons cons nil cons nil cons cons 3128 remove subst 783 remove nil 99 ref 14340 ref nil cons 14348 def cons nil cons nil cons cons 106 ref subst nil 1567 remove 68 ref 14348 ref cons nil cons 14349 def cons nil cons cons 14350 def 86 ref subst 14350 remove 151 ref subst nil 10815 ref 14339 ref nil cons cons 14351 def 10816 ref 14320 remove nil cons cons nil cons cons nil cons cons 10817 ref subst 1429 ref 1454 ref 33 ref nil 10818 ref 14319 ref nil cons cons nil cons nil cons cons 10819 ref subst 14319 remove 10820 ref appTerm betaConv trans 10821 ref 1403 ref 10823 remove 544 ref 55 ref 41 ref 8153 remove 9739 ref appThm absThm appThm appThm 55 ref 41 ref 329 ref 35 ref 8152 remove appThm appThm 10824 ref appThm absThm appThm appThm appThm absThm appThm trans appThm nil "s" 14324 ref var 14338 ref nil cons cons 14328 remove 14334 ref nil cons cons 10826 ref 10820 ref nil cons cons nil cons cons cons nil cons cons "A" 14323 remove cons "B" 1451 ref cons nil cons 14352 def cons 218 ref cons 1469 remove subst subst 33 ref 36 ref 18 ref 18 ref 14321 ref 20 ref cons opType 14353 def 20 ref cons opType constTerm refl "x" 14321 ref var 14354 def 14354 ref 75 ref 10822 ref 14334 remove 14354 remove varTerm 14355 def appTerm appTerm appTerm 42 remove 18 ref 14321 ref 18 ref 14324 remove 20 ref cons opType nil cons cons opType constTerm 14355 ref appTerm 14338 remove appTerm appTerm absTerm 14356 def 14355 remove appTerm betaConv absThm appThm appThm 826 ref 4750 ref 10821 ref "b" 1402 ref var 14357 def 14356 ref 14329 remove 4751 ref appTerm 14357 ref varTerm 14358 def appTerm 14359 def appTerm betaConv absThm appThm absThm appThm appThm nil "p" 14353 remove var 14356 remove nil cons cons nil cons nil cons cons 869 remove 14352 remove cons 218 ref cons 14360 def 3739 remove subst subst eqMp trans 826 ref 4750 ref 10821 ref 14357 ref 544 ref 10822 remove refl nil 4505 ref 14358 ref nil cons 14361 def cons 759 ref 10395 remove cons nil cons cons nil cons cons 4505 ref 10253 ref 14327 ref "_12018" 14322 ref var 14362 def 757 ref 759 ref 1422 ref 4505 ref 10253 ref 14362 remove varTerm 14330 ref appTerm appTerm 14333 ref appTerm absTerm appTerm absTerm appTerm absTerm 14363 def appTerm 14364 def 14330 ref appTerm appTerm 14333 ref appTerm absTerm 14365 def 4510 ref appTerm 14366 def betaConv 759 ref 1422 ref 14365 ref appTerm 14367 def absTerm 14368 def 764 ref appTerm 14369 def betaConv 14363 ref 14364 remove appTerm 14370 def betaConv 14363 ref "_12016" 14321 ref var 14371 def 41 ref 14331 ref 7609 remove 18 ref 18 ref 18 ref 14321 remove 722 remove cons opType 14372 def 20 ref cons opType 14372 ref nil cons cons opType constTerm "fn" 14372 remove var 14373 def 757 ref 4750 ref 1422 ref 14357 ref 853 ref 14373 remove varTerm 14359 ref appTerm appTerm 4751 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm 14374 def 14371 remove varTerm 14375 def appTerm appTerm 14327 remove "fn" 14322 ref var 14376 def 757 ref 4750 ref 1422 ref 14357 ref 10253 ref 14376 remove varTerm 14359 remove appTerm appTerm 14358 ref appTerm absTerm appTerm absTerm appTerm absTerm appTerm 14377 def 14375 remove appTerm 45 ref appTerm appTerm absTerm absTerm 14378 def appTerm betaConv sym nil 871 ref 759 ref 1422 ref 4505 ref 10253 ref 14378 ref 14330 ref appTerm 14379 def appTerm 14333 remove appTerm 14380 def absTerm 14381 def appTerm 14382 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 759 remove nil 99 ref 14382 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1453 ref 14381 remove nil cons cons nil cons nil cons cons 2429 ref subst 4505 ref nil 99 ref 14380 remove nil cons cons nil cons nil cons cons 106 ref subst 14379 remove betaConv 10253 ref "_12013" 1402 ref var 14383 def 41 ref 14332 remove 14383 ref varTerm 45 ref appTerm 14384 def appTerm absTerm absTerm 4510 ref appTerm 14385 def appTerm refl 14383 ref 41 ref 14331 ref 14374 remove 14330 ref appTerm 14386 def appTerm 14387 def 14384 ref appTerm absTerm absTerm 14388 def 14377 remove 14330 remove appTerm 14389 def appTerm betaConv appThm 10253 ref refl 14385 remove betaConv appThm 41 ref 14387 remove 14389 remove 45 ref appTerm appTerm absTerm refl appThm trans 17 remove 18 ref 18 ref 1402 ref 1451 remove cons opType 14390 def 18 ref 14390 remove 20 ref cons opType nil cons cons opType constTerm 14391 def "_12012" 721 ref var 14392 def 14383 remove 41 ref 14331 ref 14392 remove varTerm appTerm 14384 remove appTerm absTerm absTerm absTerm 14393 def 764 remove appTerm 14394 def appTerm refl 14393 ref 14386 remove appTerm betaConv appThm 14391 remove refl 14394 remove betaConv appThm 14388 remove refl appThm trans 14393 remove refl nil 14357 ref 4550 remove cons 4750 ref 873 remove cons nil cons cons nil cons cons 14395 def 14360 ref 10371 remove subst subst appThm eqMp 14395 remove 14360 ref 10387 remove subst subst appThm eqMp sym trans eqMp absThm eqMp eqMp absThm eqMp eqMp "A" 14326 remove cons nil cons 14396 def "P" 14325 ref var 14363 ref nil cons 14397 def cons "x" 14322 remove var 14378 remove nil cons cons nil cons cons nil cons cons 594 ref subst proveHyp nil 67 ref 36 remove 18 remove 14325 ref 20 remove cons opType constTerm 14363 remove appTerm nil cons cons 68 ref 14370 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp nil "p" 14325 remove var 14397 remove cons nil cons nil cons cons 14396 remove 218 remove cons 10370 remove subst subst eqMp eqMp nil 67 ref 757 ref 14368 ref appTerm nil cons cons 68 ref 14369 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 870 ref 871 ref 14368 remove nil cons cons 874 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 14367 remove nil cons cons 68 ref 14366 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 14365 remove nil cons cons 4551 ref cons nil cons cons 161 ref subst eqMp eqMp subst appThm appThm nil 10815 remove 14337 remove nil cons 14398 def cons 1549 remove 10826 remove 14361 ref cons 10396 remove cons cons cons nil cons cons 14360 remove 1537 remove subst subst 75 ref 4753 remove 789 ref appTerm appTerm 14399 def refl 14400 def nil 10818 ref 14336 ref nil cons cons 14401 def 1454 ref 14361 ref cons nil cons cons nil cons cons 10819 ref subst 14336 ref 14358 ref appTerm betaConv trans appThm trans appThm absThm appThm absThm appThm trans 14402 def appThm absThm appThm trans sym nil 1453 ref 4505 ref 23 ref 5704 ref 1403 ref 10829 ref 75 ref 54 ref 41 ref 8160 ref 5881 remove appTerm absTerm appTerm appTerm 54 ref 41 ref 69 ref 34 remove 8159 remove appTerm 14403 def appTerm 14404 def 10806 remove appTerm absTerm appTerm appTerm 14405 def appTerm absTerm appTerm appTerm 794 ref 4750 ref 5704 ref 14357 ref 75 ref 10828 ref 41 ref 14331 ref 4751 remove appTerm 14358 ref 45 ref appTerm 14406 def appTerm absTerm appTerm appTerm 14407 def 14399 ref 5704 ref 1403 ref 75 ref 10253 remove 14358 ref appTerm 1406 ref appTerm appTerm 14408 def 14335 ref appTerm absTerm appTerm appTerm appTerm absTerm appTerm absTerm appTerm 14409 def appTerm 14410 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 4505 ref nil 99 ref 14410 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 33 ref 10821 ref 1403 ref 10832 ref 1403 ref 14405 remove absTerm 14411 def 1406 ref appTerm betaConv appThm absThm appThm appThm 14411 ref 4510 ref appTerm betaConv 14412 def appThm nil 10818 ref 14411 remove nil cons cons 10835 ref cons nil cons cons 10836 ref subst eqMp appThm 826 remove 4750 ref 10821 ref 14357 ref 14407 ref refl 14400 remove 33 ref 10821 ref 1403 ref 14408 remove refl 1403 ref 14335 ref absTerm 14413 def 1406 remove appTerm betaConv 14414 def appThm absThm appThm appThm 14413 ref 14358 ref appTerm betaConv appThm nil 10818 remove 14413 ref nil cons cons 14415 def 10834 remove 14361 remove cons nil cons cons nil cons cons 10836 ref subst eqMp appThm appThm absThm appThm absThm appThm 14416 def appThm sym nil 67 ref 75 ref 54 ref 41 ref 8160 ref 805 ref 4536 ref appTerm 789 ref appTerm 14417 def appTerm absTerm 14418 def appTerm 14419 def appTerm 54 ref 41 ref 14404 ref 10838 ref appTerm absTerm 14420 def appTerm 14421 def appTerm 14422 def nil cons 14423 def cons 68 ref 794 remove 4750 remove 5704 ref 14357 ref 14407 remove 14399 remove 75 ref 54 ref 41 ref 690 ref 805 ref 14406 ref appTerm 789 ref appTerm 14424 def appTerm absTerm 14425 def appTerm 14426 def appTerm 54 ref 41 ref 2729 ref 853 ref 14406 ref appTerm 10805 ref appTerm 14427 def appTerm absTerm 14428 def appTerm 14429 def appTerm 14430 def appTerm appTerm absTerm appTerm absTerm 14431 def appTerm 14432 def nil cons 14433 def cons nil cons 14434 def cons nil cons cons 14435 def 348 ref subst 14435 ref 86 ref subst 14435 remove 151 ref subst nil 112 ref 14419 remove nil cons 14436 def cons 114 ref 14421 remove nil cons 14437 def cons nil cons cons nil cons cons 14438 def 127 ref subst 14438 remove 347 ref subst 14431 ref 4510 ref 453 ref appTerm 14439 def appTerm betaConv sym 14440 def 14357 ref 75 ref 10828 ref 41 ref 14331 ref 14439 ref appTerm 14441 def 14406 ref appTerm absTerm appTerm appTerm 75 ref 805 ref 14439 ref appTerm 789 ref appTerm 14442 def appTerm 14443 def 14430 ref appTerm appTerm absTerm 14444 def 41 ref 14331 ref 10805 ref appTerm 4536 ref appTerm 14445 def absTerm 14446 def appTerm betaConv sym nil 4505 ref 41 ref 14441 ref 14446 ref 45 ref appTerm 14447 def appTerm absTerm 14448 def nil cons cons 10840 ref cons nil cons cons 10848 ref subst 55 ref 41 ref 10849 ref 14448 ref 45 ref appTerm betaConv 14441 ref refl 14447 ref betaConv 14449 def appThm trans appThm absThm appThm trans sym nil 144 ref 41 ref 10837 ref 14441 ref 14445 ref appTerm 14450 def appTerm 14451 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14451 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_12020" 721 ref var 14452 def 10837 ref 14452 remove varTerm appTerm absTerm 14453 def 14450 remove appTerm betaConv appThm 544 ref 11510 ref refl 14454 def 14453 ref 14439 ref appTerm betaConv appThm appThm 14455 def 69 ref 14136 ref appTerm 14456 def refl 14457 def 14453 ref 14445 ref appTerm betaConv appThm appThm appThm nil "_485" 721 ref var 14458 def 14445 ref nil cons cons "_482" 721 ref var 14459 def 14439 ref nil cons 14460 def cons 3557 remove 4125 remove cons nil cons 14461 def cons 14462 def cons nil cons cons nil "_484" 755 remove var 14463 def 14453 remove nil cons cons nil cons nil cons cons 897 ref 3574 remove subst 14464 def subst 14465 def subst eqMp sym nil 8200 ref 68 ref 10837 ref 14439 remove appTerm 14466 def nil cons 14467 def cons nil cons cons nil cons cons 14468 def 86 ref subst 14468 remove 151 ref subst 4510 ref refl 8202 ref appThm eqMp nil 8206 ref 114 ref 14467 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp 14469 def nil 67 ref 11510 ref 14466 remove appTerm nil cons cons 14470 def 68 ref 14456 ref 10837 ref 14445 ref appTerm 14471 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 14138 ref 68 ref 14471 remove nil cons 14472 def cons nil cons cons nil cons cons 14473 def 86 ref subst 14473 remove 151 ref subst 23 ref "_12024" 19 remove var 14474 def 10837 ref 3670 ref 14474 remove varTerm appTerm 10805 ref appTerm 4536 ref appTerm appTerm absTerm 14475 def 2964 remove appTerm 14476 def appTerm refl 14475 ref 171 ref appTerm betaConv appThm 33 ref 14476 remove betaConv appThm 10837 ref 3670 remove 171 ref appTerm 10805 ref appTerm 4536 ref appTerm appTerm refl appThm trans 14475 remove refl 14141 ref appThm eqMp sym 10849 ref nil 3674 ref 4536 ref nil cons 14477 def cons 3676 ref 10805 ref nil cons 14478 def cons nil cons cons nil cons cons 897 remove 3677 remove 220 remove 3560 remove 171 remove appTerm 3679 ref appTerm 3680 ref appTerm appTerm 3680 ref appTerm absTerm 14479 def 3680 remove appTerm 14480 def betaConv 3678 remove 54 ref 14479 ref appTerm 14481 def absTerm 14482 def 3679 remove appTerm 14483 def betaConv nil 54 ref 14482 ref appTerm 14484 def axiom nil 67 ref 14484 remove nil cons cons 68 ref 14483 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 14482 remove nil cons cons 3687 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 14481 remove nil cons cons 68 ref 14480 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 144 ref 14479 remove nil cons cons 3688 remove cons nil cons cons 161 ref subst eqMp eqMp subst 14485 def subst appThm nil 872 ref 14477 ref cons nil cons nil cons cons 940 remove subst 14486 def trans sym 105 ref eqMp eqMp eqMp nil 14144 ref 114 ref 14472 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 67 ref 10828 ref 14448 remove appTerm nil cons cons 68 ref 14443 ref 75 ref 54 ref 41 ref 690 ref 805 ref 14447 ref appTerm 789 ref appTerm 14487 def appTerm 14488 def absTerm 14489 def appTerm 14490 def appTerm 54 ref 41 ref 2729 ref 853 ref 14447 remove appTerm 10805 ref appTerm 14491 def appTerm 14492 def absTerm 14493 def appTerm 14494 def appTerm 14495 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp 8178 remove sym 105 ref eqMp nil 67 ref 8175 remove nil cons cons 68 ref 14442 remove nil cons 14496 def cons nil cons 14497 def cons nil cons cons 136 ref subst proveHyp 936 ref 14418 ref 45 ref appTerm 14498 def betaConv nil 67 ref 14436 remove cons 68 ref 14498 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 14418 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp 14499 def subst eqMp nil 67 ref 14496 remove cons 14500 def 68 ref 14495 remove nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 144 ref 14489 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14488 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1015 ref 68 ref 14487 remove nil cons 14501 def cons nil cons cons nil cons cons 14502 def 86 ref subst 14502 remove 151 ref subst 3146 ref 14449 ref appThm 3814 ref appThm sym 33 ref "_12026" 721 ref var 14503 def 805 ref 14503 remove varTerm appTerm 789 ref appTerm absTerm 14504 def 14445 ref appTerm betaConv appThm 544 ref 14454 ref 14504 ref 10805 ref appTerm betaConv appThm appThm 14457 ref 14504 ref 4536 ref appTerm betaConv appThm appThm appThm nil 14458 ref 14477 remove cons 14505 def 14459 ref 14478 remove cons 14461 ref cons cons nil cons cons 14506 def nil 14463 ref 14504 remove nil cons cons nil cons nil cons cons 14464 ref subst 14507 def subst eqMp sym nil 8200 ref 68 ref 805 ref 10805 ref appTerm 789 ref appTerm 14508 def nil cons 14509 def cons nil cons 14510 def cons nil cons cons 14511 def 86 ref subst 14511 remove 151 ref subst nil 1015 ref 14510 remove cons nil cons cons 136 ref subst 329 ref 14149 ref 6198 remove trans appThm 14512 def 14508 ref refl appThm nil 99 ref 14509 ref cons nil cons nil cons cons 524 ref subst trans sym 105 ref eqMp eqMp eqMp nil 8206 ref 114 ref 14509 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 11510 ref 14508 remove appTerm nil cons cons 68 ref 14456 ref 14417 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 14138 ref 68 ref 14417 ref nil cons 14513 def cons nil cons 14514 def cons nil cons cons 14515 def 86 ref subst 14515 remove 151 ref subst 14142 ref 1741 remove appThm 371 ref 1308 remove subst trans sym 105 ref eqMp nil 8196 ref 14514 remove cons nil cons cons 136 ref subst proveHyp 14499 remove eqMp eqMp nil 14144 ref 114 ref 14513 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 1731 ref 114 ref 14501 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 14490 remove nil cons cons 68 ref 14494 remove nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 144 ref 14493 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14492 remove nil cons cons nil cons nil cons cons 106 ref subst nil 1941 ref 68 ref 14491 remove nil cons 14516 def cons nil cons cons nil cons cons 14517 def 86 ref subst 14517 remove 151 ref subst 2834 ref 14449 remove appThm 10805 ref refl 14518 def appThm sym 33 ref "_12032" 721 ref var 14519 def 853 ref 14519 remove varTerm appTerm 10805 ref appTerm absTerm 14520 def 14445 remove appTerm betaConv appThm 544 ref 14454 ref 14520 ref 10805 ref appTerm betaConv appThm appThm 14457 ref 14520 ref 4536 ref appTerm betaConv appThm appThm appThm 14506 remove nil 14463 remove 14520 remove nil cons cons nil cons nil cons cons 14464 remove subst 14521 def subst eqMp sym nil 8200 ref 68 ref 853 ref 10805 ref appTerm 10805 ref appTerm 14522 def nil cons 14523 def cons nil cons cons nil cons cons 14524 def 86 ref subst 14524 remove 151 ref subst 14518 ref eqMp nil 8206 ref 114 ref 14523 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 11510 ref 14522 remove appTerm nil cons cons 68 ref 14456 ref 10838 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 14138 ref 68 ref 10838 ref nil cons 14525 def cons nil cons 14526 def cons nil cons cons 14527 def 86 ref subst 14527 remove 151 ref subst 35 ref 14142 remove 1945 remove appThm 3940 remove trans appThm 400 remove trans sym 105 ref eqMp nil 67 ref 14403 remove nil cons cons 14526 remove cons nil cons cons 136 ref subst proveHyp 14420 ref 45 ref appTerm 14528 def betaConv nil 67 ref 14437 remove cons 68 ref 14528 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 14420 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 14144 ref 114 ref 14525 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp eqMp nil 1950 ref 114 ref 14516 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp eqMp 1452 ref 1453 ref 14444 ref nil cons cons 14529 def 1454 ref 14446 remove nil cons cons nil cons cons nil cons cons 594 ref subst proveHyp eqMp 870 ref 871 ref 14431 ref nil cons cons 14530 def 872 ref 14460 remove cons nil cons cons nil cons cons 594 ref subst 14531 def proveHyp proveHyp proveHyp eqMp nil 112 ref 14423 ref cons 114 ref 14433 remove cons nil cons 14532 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 ref 14422 ref appTerm 14432 ref appTerm nil cons cons 68 ref 69 ref 14432 ref appTerm 14533 def 14422 ref appTerm nil cons cons nil cons 14534 def cons nil cons cons 151 ref subst proveHyp nil 871 ref 10392 ref 69 ref 14431 ref 10392 ref varTerm 14535 def appTerm 14536 def appTerm 14537 def 14422 ref appTerm 14538 def absTerm nil cons cons nil cons nil cons cons 898 ref subst 10392 ref nil 99 ref 14538 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 14536 ref nil cons 14539 def cons 14540 def 68 ref 14423 ref cons nil cons 14541 def cons nil cons cons 14542 def 86 ref subst 14542 remove 151 ref subst 14536 ref betaConv 14536 remove assume eqMp 14543 def nil 67 ref 5704 ref 14357 ref 75 ref 10828 ref 41 ref 14331 remove 14535 ref appTerm 14406 ref appTerm 14544 def absTerm 14545 def appTerm 14546 def appTerm 75 ref 805 ref 14535 ref appTerm 789 ref appTerm 14547 def appTerm 14430 ref appTerm 14548 def appTerm 14549 def absTerm 14550 def appTerm 14551 def nil cons cons 14552 def 14541 ref cons nil cons cons 136 ref subst proveHyp nil 1453 ref 14357 ref 69 ref 14550 ref 14358 ref appTerm 14553 def appTerm 14554 def 14422 ref appTerm 14555 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 14357 ref nil 99 ref 14555 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 14553 ref nil cons 14556 def cons 14557 def 14541 ref cons nil cons cons 14558 def 86 ref subst 14558 remove 151 ref subst 14553 ref betaConv 14553 remove assume eqMp 14559 def nil 67 ref 14549 remove nil cons 14560 def cons 14561 def 14541 remove cons nil cons cons 14562 def 136 ref subst proveHyp 14562 ref 86 ref subst 14562 remove 151 ref subst nil 112 ref 14546 ref nil cons cons 114 ref 14548 remove nil cons cons nil cons cons nil cons cons 14563 def 127 ref subst 14564 def 14563 remove 347 ref subst 14565 def nil 112 ref 14547 ref nil cons 14566 def cons 114 ref 14430 remove nil cons cons nil cons cons nil cons cons 14567 def 127 ref subst 14568 def 14567 remove 347 ref subst 14569 def nil 112 ref 14426 remove nil cons 14570 def cons 114 ref 14429 remove nil cons 14571 def cons nil cons cons nil cons cons 14572 def 127 ref subst 14573 def 14572 remove 347 ref subst 14574 def 23 ref "_12038" 1402 ref var 14575 def 75 ref 54 ref 41 ref 8160 ref 805 ref 14575 remove varTerm 45 ref appTerm 14576 def appTerm 789 ref appTerm appTerm absTerm appTerm appTerm 54 ref 41 ref 14404 ref 853 ref 14576 remove appTerm 10805 ref appTerm appTerm absTerm appTerm appTerm absTerm 14577 def 4510 ref appTerm appTerm refl 14577 ref 14545 ref appTerm betaConv appThm 33 ref 14412 remove appThm 75 ref 54 ref 41 ref 8160 ref 805 ref 14545 ref 45 ref appTerm 14578 def appTerm 789 ref appTerm 14579 def appTerm absTerm appTerm appTerm 54 ref 41 ref 14404 remove 853 ref 14578 ref appTerm 10805 ref appTerm 14580 def appTerm absTerm appTerm appTerm refl appThm trans 14577 remove refl 14546 remove assume 14581 def appThm eqMp sym 544 ref 55 ref 41 ref 8160 ref refl 3146 ref 14578 remove betaConv 14582 def appThm 3814 ref appThm 14583 def appThm absThm appThm appThm 55 ref 41 ref 329 ref nil 1380 remove 9115 remove cons nil cons cons 4024 remove subst appThm 2834 ref 14582 remove appThm 14518 ref appThm 14584 def appThm absThm appThm appThm sym nil 144 ref 41 ref 8160 remove 805 ref 14544 ref appTerm 789 ref appTerm 14585 def appTerm 14586 def absTerm 14587 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14586 remove nil cons cons nil cons nil cons cons 106 ref subst nil 8196 remove 68 ref 14585 ref nil cons 14588 def cons nil cons 14589 def cons nil cons cons 14590 def 86 ref subst 14590 remove 151 ref subst nil 1015 ref 14589 ref cons nil cons cons 14591 def 86 ref subst 14592 def 14591 remove 151 ref subst 14593 def 33 ref "_12048" 721 ref var 14594 def 805 ref 14594 remove varTerm appTerm 789 ref appTerm absTerm 14595 def 14544 ref appTerm betaConv appThm 544 ref 14454 ref 14595 ref 14535 ref appTerm betaConv appThm appThm 14457 ref 14595 remove 14406 ref appTerm betaConv appThm appThm appThm nil 14458 remove 14406 ref nil cons 14596 def cons 14459 remove 14535 ref nil cons 14597 def cons 14461 remove cons cons nil cons cons 14598 def 14507 remove subst eqMp sym 14599 def nil 8200 ref 68 ref 14566 ref cons nil cons 14600 def cons nil cons cons 14601 def 86 ref subst 14602 def 14601 remove 151 ref subst 14603 def nil 1015 ref 14600 remove cons nil cons cons 136 ref subst 14512 remove nil 99 ref 14566 ref cons nil cons nil cons cons 106 ref subst 14547 ref assume 14604 def eqMp 14605 def appThm 371 remove 524 ref subst trans sym 105 ref eqMp eqMp eqMp nil 8206 ref 114 ref 14566 remove cons nil cons cons nil cons cons 127 ref subst 14606 def deductAntisym eqMp nil 67 ref 11510 ref 14547 remove appTerm nil cons cons 68 ref 14456 ref 14424 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst 14607 def proveHyp nil 14138 ref 68 ref 14424 remove nil cons 14608 def cons nil cons 14609 def cons nil cons cons 14610 def 86 ref subst 14610 remove 151 ref subst nil 1015 remove 14609 remove cons nil cons cons 136 ref subst 14425 ref 45 ref appTerm 14611 def betaConv nil 67 ref 14570 remove cons 68 ref 14611 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 14425 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp eqMp nil 14144 ref 114 ref 14608 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp 14612 def eqMp eqMp eqMp nil 1731 remove 114 ref 14588 ref cons nil cons 14613 def cons nil cons cons 127 ref subst 14614 def deductAntisym eqMp nil 8200 ref 14589 remove cons nil cons cons 14615 def 86 ref subst 14615 remove 151 ref subst 3146 remove 3671 ref 14147 remove appThm 14535 ref refl 14616 def appThm 14358 ref refl 8202 remove appThm appThm nil 3674 ref 14358 remove 453 ref appTerm nil cons cons 3676 remove 14597 remove cons nil cons 14617 def cons nil cons cons 3689 remove subst trans appThm 3814 remove appThm 14605 remove trans sym 105 ref eqMp eqMp nil 8206 ref 14613 ref cons nil cons cons 127 ref subst deductAntisym eqMp nil 8206 ref 1877 remove 261 ref 14588 remove cons nil cons cons cons nil cons cons 280 ref subst proveHyp proveHyp eqMp nil 8207 remove 14613 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 14587 remove appTerm nil cons cons 68 ref 54 ref 41 ref 69 ref 75 ref 14136 remove appTerm 50 remove appTerm 14618 def appTerm 853 ref 14544 ref appTerm 10805 ref appTerm 14619 def appTerm 14620 def absTerm 14621 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 144 ref 14621 remove nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14620 remove nil cons cons nil cons nil cons cons 106 ref subst nil 67 ref 14618 remove nil cons 14622 def cons 68 ref 14619 ref nil cons 14623 def cons nil cons 14624 def cons nil cons cons 14625 def 86 ref subst 14625 remove 151 ref subst nil 14144 ref 2728 remove cons nil cons cons 14626 def 127 ref subst 14626 remove 347 ref subst 2834 remove 3671 remove 14141 remove appThm 14616 remove appThm 14406 ref refl appThm nil 3674 remove 14596 remove cons 14617 remove cons nil cons cons 14485 remove subst trans appThm 14518 remove appThm sym nil 1941 ref 68 ref 14427 ref nil cons 14627 def cons nil cons 14628 def cons nil cons cons 136 ref subst 14428 ref 45 ref appTerm 14629 def betaConv nil 67 ref 14571 remove cons 68 ref 14629 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 ref 144 ref 14428 remove nil cons cons 311 ref cons nil cons cons 161 ref subst eqMp eqMp eqMp 14630 def eqMp proveHyp proveHyp eqMp nil 112 ref 14622 remove cons 114 ref 14623 remove cons nil cons 14631 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 112 ref 14560 remove cons 14632 def 114 ref 14423 remove cons nil cons 14633 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 112 ref 14556 remove cons 14634 def 14633 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 1422 ref 1454 ref 69 ref 14550 ref 10820 ref appTerm appTerm 14635 def 14422 ref appTerm absTerm appTerm nil cons cons 68 ref 69 ref 14551 remove appTerm 14636 def 14422 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 ref 1453 ref 14550 remove nil cons cons 14637 def 14633 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 112 ref 14539 remove cons 14638 def 14633 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 757 ref 872 ref 69 ref 14431 remove 910 remove appTerm appTerm 14639 def 14422 remove appTerm absTerm appTerm nil cons cons 14534 remove cons nil cons cons 136 ref subst proveHyp 870 ref 14530 ref 14633 remove cons nil cons cons 929 ref subst eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp nil 12208 remove 114 ref 14348 ref cons nil cons 14640 def cons nil cons cons 127 ref subst deductAntisym eqMp nil 10528 ref 14349 ref cons nil cons cons 14641 def 86 ref subst 14641 remove 151 ref subst 4 remove 5239 remove 27 remove 7260 remove appTerm 28 ref appTerm 14642 def appTerm 14643 def absTerm 14644 def 28 remove appTerm 14645 def betaConv 2209 remove 453 remove appTerm 14646 def betaConv 2245 remove nil 67 ref 2246 remove nil cons cons 68 ref 14646 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 309 ref 2210 remove 868 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 288 remove 14644 ref appTerm nil cons cons 68 ref 14645 remove nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 324 remove 317 remove 14644 remove nil cons cons 359 remove cons nil cons cons 161 ref subst eqMp eqMp nil 67 ref 14643 remove nil cons cons 14349 ref cons nil cons cons 136 ref subst proveHyp 329 ref 33 ref 8806 ref appThm 14642 ref refl appThm nil 99 ref 14642 ref nil cons 14647 def cons nil cons nil cons cons 242 remove subst trans appThm 14340 remove refl appThm sym nil 67 ref 14647 ref cons 14349 remove cons nil cons cons 14648 def 86 ref subst 14648 remove 151 ref subst 10800 remove refl 10802 remove refl 10803 remove 10821 ref 1403 ref 10804 remove refl 544 ref 55 ref 41 ref 329 ref 366 remove 14642 remove assume appThm 14649 def appThm 9739 remove appThm absThm appThm appThm 55 ref 41 ref 329 ref 35 ref 14649 remove appThm appThm 10824 remove appThm absThm appThm appThm appThm absThm appThm absThm appThm appThm 14339 remove refl appThm sym nil 14351 remove 10816 remove 14398 remove cons nil cons cons nil cons cons 10817 remove subst 1429 remove 1454 ref 33 ref nil 14401 remove nil cons nil cons cons 10819 remove subst 14336 remove 10820 remove appTerm betaConv trans appThm 14402 remove appThm absThm appThm trans sym nil 1453 ref 4505 ref 23 ref 5704 remove 1403 ref 10829 remove 14335 remove appTerm absTerm appTerm appTerm 14409 remove appTerm 14650 def absTerm nil cons cons nil cons nil cons cons 2429 ref subst 4505 ref nil 99 ref 14650 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref 33 ref 10821 remove 1403 remove 10832 remove 14414 remove appThm absThm appThm appThm 14413 remove 4510 ref appTerm betaConv 14651 def appThm nil 14415 remove 10835 remove cons nil cons cons 10836 remove subst eqMp appThm 14416 remove appThm sym nil 67 ref 75 ref 54 ref 41 ref 690 ref 14417 remove appTerm absTerm 14652 def appTerm 14653 def appTerm 54 ref 41 ref 2729 ref 10838 remove appTerm absTerm appTerm 14654 def appTerm 14655 def nil cons 14656 def cons 14434 remove cons nil cons cons 14657 def 348 remove subst 14657 ref 86 ref subst 14657 remove 151 ref subst nil 112 ref 14653 remove nil cons 14658 def cons 114 ref 14654 ref nil cons 14659 def cons nil cons cons nil cons cons 14660 def 127 ref subst 14660 remove 347 remove subst 14440 remove 14444 remove 4510 ref appTerm betaConv sym nil 4505 remove 41 ref 14441 remove 4536 ref appTerm 14661 def absTerm 14662 def nil cons cons 10840 remove cons nil cons cons 10848 remove subst 55 ref 41 ref 10849 remove 14662 ref 45 ref appTerm betaConv appThm absThm appThm trans sym nil 144 ref 41 ref 10837 ref 14661 ref appTerm 14663 def absTerm nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14663 remove nil cons cons nil cons nil cons cons 106 ref subst 33 ref "_11980" 721 ref var 14664 def 10837 ref 14664 remove varTerm appTerm absTerm 14665 def 14661 remove appTerm betaConv appThm 14455 remove 14457 ref 14665 remove 4536 ref appTerm betaConv appThm appThm appThm nil 14505 remove 14462 remove cons nil cons cons 14465 remove subst eqMp sym 14469 remove nil 14470 remove 68 ref 14456 ref 10837 remove 4536 remove appTerm 14666 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 14138 ref 68 ref 14666 remove nil cons 14667 def cons nil cons cons nil cons cons 14668 def 86 ref subst 14668 remove 151 ref subst 14486 remove sym 105 ref eqMp eqMp nil 14144 ref 114 ref 14667 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp absThm eqMp eqMp nil 67 ref 10828 remove 14662 remove appTerm nil cons cons 68 ref 14443 remove 14655 ref appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 10528 remove 14497 remove cons nil cons cons 136 ref subst 936 remove 14652 ref 45 ref appTerm 14669 def betaConv nil 67 ref 14658 remove cons 14670 def 68 ref 14669 remove nil cons cons nil cons cons nil cons cons 136 ref subst 309 remove 144 ref 14652 remove nil cons cons 311 remove cons nil cons cons 161 remove subst eqMp eqMp subst eqMp nil 14500 remove 68 ref 14656 ref cons nil cons 14671 def cons nil cons cons 151 ref subst proveHyp nil 14670 remove 68 ref 14659 remove cons nil cons cons nil cons cons 151 ref subst 14654 remove assume eqMp eqMp eqMp eqMp 1452 ref 14529 remove 4551 remove cons nil cons cons 594 remove subst proveHyp eqMp 14531 remove proveHyp proveHyp proveHyp eqMp nil 112 ref 14656 ref cons 14532 remove cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 69 remove 14655 ref appTerm 14432 remove appTerm nil cons cons 68 ref 14533 remove 14655 ref appTerm nil cons cons nil cons 14672 def cons nil cons cons 151 ref subst proveHyp nil 871 remove 10392 ref 14537 remove 14655 ref appTerm 14673 def absTerm nil cons cons nil cons nil cons cons 898 remove subst 10392 remove nil 99 ref 14673 remove nil cons cons nil cons nil cons cons 106 ref subst nil 14540 remove 14671 ref cons nil cons cons 14674 def 86 ref subst 14674 remove 151 ref subst 14543 remove nil 14552 remove 14671 ref cons nil cons cons 136 ref subst proveHyp nil 1453 remove 14357 ref 14554 remove 14655 ref appTerm 14675 def absTerm nil cons cons nil cons nil cons cons 2429 remove subst 14357 remove nil 99 ref 14675 remove nil cons cons nil cons nil cons cons 106 ref subst nil 14557 remove 14671 ref cons nil cons cons 14676 def 86 ref subst 14676 remove 151 ref subst 14559 remove nil 14561 remove 14671 remove cons nil cons cons 14677 def 136 ref subst proveHyp 14677 ref 86 ref subst 14677 remove 151 ref subst 14564 remove 14565 remove 14568 remove 14569 remove 14573 remove 14574 remove 23 remove "_11986" 1402 remove var 14678 def 75 ref 54 ref 41 ref 690 ref 805 remove 14678 remove varTerm 45 remove appTerm 14679 def appTerm 789 remove appTerm appTerm absTerm appTerm appTerm 54 ref 41 ref 2729 ref 853 ref 14679 remove appTerm 10805 ref appTerm appTerm absTerm appTerm appTerm absTerm 14680 def 4510 remove appTerm appTerm refl 14680 ref 14545 remove appTerm betaConv appThm 33 ref 14651 remove appThm 75 remove 54 ref 41 ref 690 ref 14579 remove appTerm absTerm appTerm appTerm 54 ref 41 ref 2729 ref 14580 remove appTerm absTerm appTerm appTerm refl appThm trans 14680 remove refl 14581 remove appThm eqMp sym 544 ref 55 ref 41 ref 705 remove 14583 remove appThm absThm appThm appThm 55 remove 41 ref 14086 remove 14584 remove appThm absThm appThm appThm sym nil 144 ref 41 ref 690 remove 14585 remove appTerm 14681 def absTerm 14682 def nil cons cons nil cons nil cons cons 326 ref subst 41 ref nil 99 ref 14681 remove nil cons cons nil cons nil cons cons 106 ref subst 14592 remove 14593 remove 14599 remove 14602 remove 14603 remove 14604 remove eqMp 14606 remove deductAntisym eqMp 14607 remove proveHyp 14612 remove eqMp eqMp eqMp 14614 remove deductAntisym eqMp eqMp absThm eqMp nil 67 ref 54 ref 14682 remove appTerm nil cons cons 68 ref 54 remove 41 ref 2729 remove 14619 remove appTerm 14683 def absTerm 14684 def appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 144 remove 14684 remove nil cons cons nil cons nil cons cons 326 remove subst 41 remove nil 99 ref 14683 remove nil cons cons nil cons nil cons cons 106 remove subst nil 1941 ref 14624 remove cons nil cons cons 14685 def 86 ref subst 14685 remove 151 ref subst 33 remove "_12002" 721 remove var 14686 def 853 ref 14686 remove varTerm appTerm 10805 ref appTerm absTerm 14687 def 14544 remove appTerm betaConv appThm 544 remove 14454 remove 14687 ref 14535 ref appTerm betaConv appThm appThm 14457 remove 14687 remove 14406 remove appTerm betaConv appThm appThm appThm 14598 remove 14521 remove subst eqMp sym nil 8200 remove 68 ref 853 remove 14535 remove appTerm 10805 remove appTerm 14688 def nil cons 14689 def cons nil cons 14690 def cons nil cons cons 14691 def 86 ref subst 14691 remove 151 ref subst nil 1941 remove 14690 remove cons nil cons cons 136 ref subst 329 remove 35 remove 14149 remove 8806 remove trans appThm 417 remove trans appThm 14688 ref refl appThm nil 99 remove 14689 ref cons nil cons nil cons cons 524 remove subst trans sym 105 remove eqMp eqMp eqMp nil 8206 remove 114 ref 14689 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp nil 67 ref 11510 remove 14688 remove appTerm nil cons cons 68 ref 14456 remove 14427 remove appTerm nil cons cons nil cons cons nil cons cons 151 ref subst proveHyp nil 14138 remove 14628 remove cons nil cons cons 14692 def 86 remove subst 14692 remove 151 remove subst 14630 remove eqMp nil 14144 remove 114 ref 14627 remove cons nil cons cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 1950 remove 14631 remove cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp eqMp eqMp eqMp proveHyp proveHyp proveHyp proveHyp proveHyp proveHyp eqMp nil 14632 remove 114 remove 14656 remove cons nil cons 14693 def cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp nil 14634 remove 14693 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 ref 1422 remove 1454 remove 14635 remove 14655 ref appTerm absTerm appTerm nil cons cons 68 remove 14636 remove 14655 ref appTerm nil cons cons nil cons cons nil cons cons 136 ref subst proveHyp 1452 remove 14637 remove 14693 ref cons nil cons cons 929 ref subst eqMp eqMp eqMp nil 14638 remove 14693 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp absThm eqMp nil 67 remove 757 ref 872 remove 14639 remove 14655 remove appTerm absTerm appTerm nil cons cons 14672 remove cons nil cons cons 136 remove subst proveHyp 870 remove 14530 remove 14693 remove cons nil cons cons 929 remove subst eqMp eqMp eqMp eqMp eqMp absThm eqMp eqMp eqMp eqMp nil 112 remove 14647 remove cons 14640 ref cons nil cons cons 127 ref subst deductAntisym eqMp eqMp eqMp eqMp nil 6197 ref 14640 remove cons nil cons cons 127 remove subst deductAntisym eqMp 12218 remove nil 6197 remove 6195 remove 261 remove 14348 remove cons nil cons cons cons nil cons cons 280 remove subst proveHyp proveHyp proveHyp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp eqMp absThm eqMp nil 757 remove 14347 remove appTerm thm